]> git.uio.no Git - u/mrichter/AliRoot.git/blobdiff - RICH/AliRICHRecon.cxx
MAJOR UPGRADE: 1. all objects are counted from 0 2. new AliRICHRecon 3. calib off...
[u/mrichter/AliRoot.git] / RICH / AliRICHRecon.cxx
index 6c34b54604b269aef1bbc72cde5ae2e1f512f408..023de2be14a9470037740710ceade17643a479a1 100644 (file)
  * provided "as is" without express or implied warranty.                  *
  **************************************************************************/
 
-#include "AliRICH.h"
-#include "AliRICHRecon.h"
-#include "AliRICHParam.h"
-#include <AliLoader.h>
-#include <AliStack.h>
-#include <Riostream.h>
-#include <TCanvas.h>
-#include <TParticle.h>
-#include <TStyle.h>
-#include <TF1.h>
-#include <TH2.h>
-#include <TMath.h>
-#include <TRandom.h>
-#include <TMinuit.h>
-#include <TNtuple.h>
-#include <TMath.h>
-#include <TGraph.h>
-#include <TLine.h>
-#include <TPolyLine.h>
-#include <TMarker.h>
-#include <TText.h>
-#include <TProfile.h>
-#include <TRotation.h>
-#include <TSystem.h>
-#include <TVector3.h>
-#include <TEventList.h>  
-
-#define NPointsOfRing 201
-
-// Geometry of the RICH at Star...
-
-static const Int_t nPadX      = AliRICHParam::NpadsY();
-static const Int_t nPadY      = AliRICHParam::NpadsX();
-static const Float_t PadSizeX = AliRICHParam::PadSizeY();
-static const Float_t PadSizeY = AliRICHParam::PadSizeX();
-static const Float_t spacer   = AliRICHParam::DeadZone();
-static const Float_t degree = 180/3.1415926535;
-
-static const Float_t pi = TMath::Pi();
-
-static const Float_t RadiatorWidth = AliRICHParam::FreonThickness();
-static const Float_t QuartzWidth   = AliRICHParam::QuartzThickness();
-static const Float_t GapWidth      = AliRICHParam::RadiatorToPads();
-
-static const Float_t fDTheta = 0.001;          // Step for sliding window
-//static const Float_t fWindowWidth = 0.040;     // Hough width of sliding window
-static const Float_t fWindowWidth = 0.060;     // Hough width of sliding window
-
-static const Int_t fThetaBin = 750;            // Hough bins
-static const Float_t fThetaMin = 0.0;          // Theta band min
-static const Float_t fThetaMax = 0.75;         // Theta band max
-
-static const Float_t Xmin = -AliRICHParam::PcSizeY()/2.;
-static const Float_t Xmax =  AliRICHParam::PcSizeY()/2.;
-static const Float_t Ymin = -AliRICHParam::PcSizeX()/2.;
-static const Float_t Ymax =  AliRICHParam::PcSizeX()/2.;
-
-
-// Global variables...
-
-Bool_t fDebug      = kFALSE;
-Bool_t kDISPLAY    = kFALSE;
-Bool_t kWEIGHT     = kFALSE;
-Bool_t kBACKGROUND = kFALSE;
-Bool_t kMINIMIZER  = kFALSE;
-//
-
-Int_t TotEvents = 0;
-
-static Float_t xGraph[3000],yGraph[3000];
-
-static Int_t NRings = 0;
-static Int_t NevTOT = 0;
-
-TMinuit *gMyMinuit ;
-
-void fcnrecon(Int_t &npar, Double_t *gin, Double_t &f, Double_t *par, Int_t iflag);
-
-// Float_t fEmissionPoint;
-// Float_t fTrackTheta;
-// Float_t fTrackPhi;
-// Float_t fXtoentr;
-// Float_t fYtoentr;
-
-//
-
-static TFile *outputfile;
-
-static TH1F *h1_photons,*h1_photacc,*h1_hough;
-static TH2F *h2_tvsppos, *h2_tvspneg,*h2_func;
-
-static TH2F *h2_disp;
-
-static TH2F *h2_test2, *h2_testmap; 
-//static TH2F *h2_test1, *h2_test4; 
-static TH2F *h2_dist_p;
-
-static TH1F *h1_photons1, *h1_photons2;
-static TH1F *h1_houghpos, *h1_houghneg;
-static TH1F *h1_mass;
-static TH2F *h2_mvsp;
-
-static TH1F *h1_hcs, *h1_hcsw;
-
-static TH1F *h1_nprotons;
-
-static TProfile *hp_1pos, *hp_1neg;
-static TProfile *hp_1posnorm, *hp_1negnorm;
-static TH2F *h2_1pos, *h2_1neg;
-static TH2F *h2_1posnorm, *h2_1negnorm;
-static TH2F *h2_mvst;
-
-static TH1F *h1_deltap, *h1_deltapop;
-static TH1F *h1_diffTrackTheta, *h1_diffTrackPhi;
-static TH1F *h1_photaccspread;
-
-static TH2F *h2_diffpos, *h2_diffneg;
-static TH2F *h2_map, *h2_mapw;
-
-static TH1F *photris;
-
-static TH1F *gChargeMipH1, *gMultMipH1;
-
-static TNtuple *hn;
-
-static TCanvas *StarCanvas,*Display;
-//static TCanvas *Displayhcs;
-static TGraph *gra;
-/*
-static TLine *line;
-static TPolyLine *poll;
-static TPolyMarker *polm;
-static TMarker *Point, *TrackPoints, *Photon, *PhotonAcc;
-static TText *text;
-*/
-    
-AliRICHRecon::AliRICHRecon(const char*, const char*)
-{
-
-  fRich = (AliRICH*)gAlice->GetDetector("RICH");
-  InitRecon();
-}
-
-void AliRICHRecon::InitRecon()
-{
-
-   outputfile = new TFile("Anal.root","RECREATE","My Analysis histos"); 
-   if(kDISPLAY) Display = new TCanvas("Display","RICH Display",0,0,1200,750);      
-
-   h1_photons = new TH1F("h1_photons","photons",750,0.,0.75);
-   h1_photacc = new TH1F("h1_photacc","photons",750,0.,0.75);
-   h1_hough   = new TH1F("h1_hough","hough",750,0.,0.75);
-   h1_houghpos= new TH1F("h1_houghpos","hough",750,0.,0.75);
-   h1_houghneg= new TH1F("h1_houghneg","hough",750,0.,0.75);
-
-   h2_tvsppos = new TH2F("h2_tvsppos","thetac vs p",100,0.,5.,750,0.,0.75);
-   h2_tvspneg = new TH2F("h2_tvspneg","thetac vs p",100,0.,5.,750,0.,0.75);
-   h2_func    = new TH2F("h2_func"," func ",800,0.,0.8,100,-100.,100.);
-   h2_mvsp    = new TH2F("h2_mvsp","mass vs p",100,0.,5.,200,0.,2.);
-   h2_mvst    = new TH2F("h2_mvst","mass vs t",750,0.,0.75,200,0.,2.);
-   h2_map     = new TH2F("h2_map","h2_map",160,0.,160.,96,0.,96.);
-   h2_mapw    = new TH2F("h2_mapw","h2_mapw",160,0.,160.,96,0.,96.);
-
-   h2_dist_p = new TH2F("h2_dist_p","h2_dist_p",100,0.,5.,100,0.,5.);
-   //
-
-   h2_disp = new TH2F("h2_disp","STAR-RICH Event Display",165,Xmin,Xmax,100,Ymin,Ymax);
-
-   //   h2_test1  = new TH2F("h2_test1","test1 map",165,-64.,64.,100,-42.,42.);
-   h2_test2  = new TH2F("h2_test2","test2 map",165,-64.,64.,100,-42.,42.);
-   //   h2_test4  = new TH2F("h2_test4","test4 map",165,-64.,64.,100,-42.,42.);
-   h2_testmap= new TH2F("h2_testmap","test map",165,-64.,64.,100,-42.,42.);
-
-   //
-   h1_photons1 = new TH1F("h1_photons1","photons",750,0.,0.75);
-   h1_photons2 = new TH1F("h1_photons2","photons",750,0.,0.75);
-   //
-   h1_hcs  = new TH1F("h1_hcs","hcs",750,0.,750.);
-   h1_hcsw = new TH1F("h1_hcsw","hcsw",750,0.,750.);
-   //
-   h1_nprotons = new TH1F("h1_nprotons","n prot",30,0.,30.);
-   //
-   hp_1pos = new TProfile("hp_1pos","Nphot vs thetac pos",250,0.,0.75); 
-   hp_1neg = new TProfile("hp_1neg","Nphot vs thetac neg",250,0.,0.75); 
-   hp_1posnorm = new TProfile("hp_1posnorm","Nphot vs thetac pos norm",250,0.,0.75); 
-   hp_1negnorm = new TProfile("hp_1negnorm","Nphot vs thetac neg norm",250,0.,0.75); 
-   //
-   h2_1pos     = new TH2F("h2_1pos","Nphot vs p pos",100,0.,5.,30,0.,30.); 
-   h2_1neg     = new TH2F("h2_1neg","Nphot vs p neg",100,0.,5.,30,0.,30.); 
-   h2_1posnorm = new TH2F("h2_1posnorm","Nphot vs p pos norm",100,0.,5.,30,0.,30.); 
-   h2_1negnorm = new TH2F("h2_1negnorm","Nphot vs p neg norm",100,0.,5.,30,0.,30.); 
-
-   h1_deltap = new TH1F("h1_deltap","delta_p",200,-0.5,0.5);
-   h1_deltapop = new TH1F("h1_deltapop","deltapop",200,-1.,1.);
-   h1_diffTrackTheta = new TH1F("h1_diffTrackTheta","delta theta",200,-0.25,0.25);
-   h1_diffTrackPhi   = new TH1F("h1_diffTrackPhi","delta phi",200,-0.25,0.25);
-
-   h1_photaccspread = new TH1F("h1_photaccspread","photons spread",200,-0.1,0.1);
-
-   //
-
-   h1_mass = new TH1F("h1_mass","mass",200,0.,2.);
-   photris = new TH1F("photris","photris",1000,0.,1.);
-   h2_diffneg = new TH2F("h2_diffneg","diff neg",100,-2.5,2.5,100,-2.5,2.5);
-   h2_diffpos = new TH2F("h2_diffpos","diff pos",100,-2.5,2.5,100,-2.5,2.5);
-   gChargeMipH1 = new TH1F("gChargeMipH1"," Charge Mip ",2000,0.,2000.);
-   gMultMipH1 = new TH1F("gMultMipH1"," Cluster Size Mip ",50,0.,50.);
-   
-   
-   hn = new TNtuple("hn","ntuple",
-"Run:Trig:VertZ:Pmod:Pt:Eta:TrackTheta:TrackPhi:TrackThetaFit:TrackPhiFit:Charge:ThetaCerenkov:NPhotons:NPhotonsFit:InRing:MassOfParticle:HoughArea:Multiplicity:TPCLastZ");
-}
-
-void AliRICHRecon::StartProcessEvent()
-{
-  
-  Float_t TrackThetaStored    = 0;
-  Float_t TrackPhiStored      = 0;
-  Float_t ThetaCerenkovStored = 0;
-  Int_t HoughPhotonsStored    = 0;
-  
-  SetFreonScaleFactor(0.994);
-
-  if(kDISPLAY) 
-    {
-      DrawEvent(0);
-//      waiting();
-    }
-
-    Rich()->GetLoader()->LoadHits();
-    Rich()->GetLoader()->LoadRecPoints();
-    Rich()->GetLoader()->LoadDigits();
-    gAlice->GetRunLoader()->LoadHeader();
-    gAlice->GetRunLoader()->LoadKinematics();    
-    
-    Rich()->GetLoader()->TreeR()->GetEntry(0);
-
-    Float_t clusX[7][500],clusY[7][500];
-    Int_t clusQ[7][500],clusMul[7][500];    
-    Int_t nClusters[7];
-    
-    for (Int_t ich=0;ich<7;ich++) {
-      nClusters[ich] = Rich()->ClustersOld(ich+1)->GetEntries();    
-      for(Int_t k=0;k<nClusters[ich];k++) {
-        AliRICHRawCluster *pCluster = (AliRICHRawCluster *)Rich()->ClustersOld(ich+1)->At(k);
-        clusX[ich][k] = pCluster->fX;
-        clusY[ich][k] = pCluster->fY;
-        clusQ[ich][k] = pCluster->fQ;
-        clusMul[ich][k] = pCluster->fMultiplicity;
-        pCluster->Print();
-      }
-    }
-        
-    Int_t nPrimaries = (Int_t)Rich()->GetLoader()->TreeH()->GetEntries();
-
-    cout << " N. primaries " << nPrimaries << endl;
-        
-    for(Int_t i=0;i<nPrimaries;i++){
-      
-      Rich()->GetLoader()->TreeH()->GetEntry(i);
-
-      Rich()->Hits()->Print();
-      Int_t iPrim = 0;
-
-      AliRICHhit* pHit=0;
-      
-      for(Int_t j=0;j<Rich()->Hits()->GetEntries();j++) {
-
-        pHit = (AliRICHhit*)Rich()->Hits()->At(j);
-        if(pHit->GetTrack() < nPrimaries) break;
-        iPrim++;
-      }
-
-      cout << " iPrim " << iPrim << " pHit " << pHit << endl;
-//      if(iPrim==0) return;
-//      if(iPrim>1) Fatal("StartProcessEvent"," problems with prim to hit!!! = %3i", iPrim);
-      
-      if (!pHit) return;
-      
-      pHit->Print();
-      
-      TParticle *pParticle = gAlice->GetRunLoader()->Stack()->Particle(pHit->GetTrack());
-      Float_t pmod     = pParticle->P();
-      Float_t pt       = pParticle->Pt();
-      Float_t TrackEta = pParticle->Eta();
-      Int_t q          = (Int_t)TMath::Sign(1.,pParticle->GetPDG()->Charge());        
-
-      pParticle->Print();
-      
-      cout << " pmod " << pmod << " pt " << pt << " Eta " << TrackEta << " charge " << q << endl;
-      
-      SetTrackMomentum(pmod); 
-      SetTrackPt(pt);
-      SetTrackEta(TrackEta);
-      SetTrackCharge(q);
-
-      TVector3 pGlob(pHit->MomFreoX(),pHit->MomFreoY(),pHit->MomFreoZ());
-      TVector3 pLocal = Rich()->C(pHit->Chamber())->Glob2Loc(pGlob,1);
-      
-      Float_t primGlobalX = pHit->X();
-      Float_t primGlobalY = pHit->Y();
-      Float_t primGlobalZ = pHit->Z();
-      TVector3 primGlobal(primGlobalX,primGlobalY,primGlobalZ);
-      TVector3 primLocal = Rich()->C(pHit->Chamber())->Glob2Loc(primGlobal);
-      
-//      Float_t pmodFreo = pLocal.Mag();
-      Float_t TrackTheta = pLocal.Theta();
-      Float_t TrackPhi = pLocal.Phi();
-
-//      cout << " TrackTheta " << TrackTheta << " TrackPhi " << TrackPhi << endl;
-      
-      SetTrackTheta(TrackTheta);
-      SetTrackPhi(TrackPhi);
-      Int_t MaxInd = 0;
-      Float_t MinDist =  999.;
-
-//      cout << " n Clusters " << nClusters[pHit->Chamber()-1] << " for chamber n. " << pHit->Chamber() << endl;
-      
-      for(Int_t j=0;j<nClusters[pHit->Chamber()-1];j++)
-       {
-         Float_t diffx = primLocal.X() - clusX[pHit->Chamber()-1][j];
-         Float_t diffy = primLocal.Y() - clusY[pHit->Chamber()-1][j];
-
-//          cout << " cluster x " << clusX[pHit->Chamber()-1][j] << " hit track x " << primLocal.X();
-//          cout << " cluster y " << clusY[pHit->Chamber()-1][j] << " hit track y " << primLocal.Y() << endl;
-          
-          Float_t diff = sqrt(diffx*diffx + diffy*diffy);
-
-         if(diff < MinDist)
-           {
-             MinDist = diff;
-             MaxInd = j;
-           }
-
-       }
-
-      Float_t diffx = primLocal.X() - clusX[pHit->Chamber()-1][MaxInd];
-      Float_t diffy = primLocal.Y() - clusY[pHit->Chamber()-1][MaxInd];
-
-      cout << " diffx " << diffx << " diffy " << diffy << endl;
-      
-      if(q>0)
-      {
-         h2_diffpos->Fill(diffx,diffy);
-      } else {
-         h2_diffneg->Fill(diffx,diffy);
-      }
-
-      SetMipIndex(MaxInd);
-      SetTrackIndex(i);
-
-      Float_t ShiftX = primLocal.X()/primLocal.Z()*(RadiatorWidth+QuartzWidth+GapWidth) + primLocal.X();
-      Float_t ShiftY = primLocal.Y()/primLocal.Z()*(RadiatorWidth+QuartzWidth+GapWidth) + primLocal.Y();
-      
-      SetShiftX(ShiftX);
-      SetShiftY(ShiftY);
-
-      Float_t *pclusX = &clusX[pHit->Chamber()-1][0];
-      Float_t *pclusY = &clusY[pHit->Chamber()-1][0];
-      
-      SetCandidatePhotonX(pclusX);
-      SetCandidatePhotonY(pclusY);
-      SetCandidatePhotonsNumber(nClusters[pHit->Chamber()-1]);
-
-      Int_t qch = clusQ[pHit->Chamber()-1][MaxInd];
-
-      gChargeMipH1->Fill(qch);
-      gMultMipH1->Fill((Float_t)clusMul[pHit->Chamber()-1][MaxInd]);
-       
-      if(MinDist < 3.0 && qch > 120 && MaxInd !=0) 
-       {
-         
-         if(kBACKGROUND)
-           {
-             
-             Float_t Xrndm = Xmin + (Xmax-Xmin)*gRandom->Rndm(280964);
-             Float_t Yrndm = Ymin + (Ymax-Ymin)*gRandom->Rndm(280964);
-
-             cout << " Xrndm " << Xrndm << " Yrndm " << Yrndm << endl;
-
-             SetShiftX(Xrndm);
-             SetShiftY(Yrndm);
-             
-           }
-
-         PatRec();
-
-         TrackThetaStored = GetTrackTheta();
-         TrackPhiStored = GetTrackPhi();
-         ThetaCerenkovStored = GetThetaCerenkov();
-         HoughPhotonsStored = GetHoughPhotons();
-         
-          Int_t DiffNPhotons = 999;
-          Int_t Nsteps = 0;
-          Float_t DiffTrackTheta = 999.;
-          Float_t DiffTrackPhi   = 999.;
-
-         while( kMINIMIZER && GetHoughPhotons() > 2 
-                            && DiffNPhotons !=0 
-                            && DiffTrackTheta > 0.0001
-                            && Nsteps < 10)
-           {
-
-             Int_t   HoughPhotonsBefore  = GetHoughPhotons();
-
-             Float_t TrackThetaBefore = GetTrackTheta();
-             Float_t TrackPhiBefore   = GetTrackPhi();
-         
-             Minimization(); 
-
-              PatRec();
-              DiffNPhotons = abs(HoughPhotonsBefore - GetHoughPhotons()); 
-
-             Float_t TrackThetaAfter = GetTrackTheta();
-             Float_t TrackPhiAfter   = GetTrackPhi();
-
-              DiffTrackTheta = TMath::Abs(TrackThetaAfter - TrackThetaBefore);
-              DiffTrackPhi   = TMath::Abs(TrackPhiAfter - TrackPhiBefore);
-
-              if(fDebug)
-              cout << " HoughPhotonsBefore " << HoughPhotonsBefore
-                   << " GetHoughPhotons()  " << GetHoughPhotons();
-
-              Nsteps++;
-           }
-
-         SetFittedThetaCerenkov(GetThetaCerenkov());
-         SetFittedHoughPhotons(GetHoughPhotons());
-
-         SetTrackTheta(TrackThetaStored);
-         SetTrackPhi(TrackPhiStored);
-         SetThetaCerenkov(ThetaCerenkovStored);
-         SetHoughPhotons(HoughPhotonsStored);
-
-          SetMinDist(MinDist);
-
-         FillHistograms();
-      
-         if(kDISPLAY) DrawEvent(1);
-
-         waiting();
-
-       }
-    }
-  //
-  if(kDISPLAY) Display->Print("display.ps");
-}
-
-
-void AliRICHRecon::EndProcessEvent()
-{
-// function called at the end of the event loop
-
-  printf("Processed events: %d Total events: %d \n",TotEvents,NevTOT); 
-
-  outputfile->Write();
-  outputfile->Close();                                                     
-}
-
-void AliRICHRecon::PatRec()
-{
-
-  cout << " in PatRec:: " << endl;
-  
-  Float_t TrackTheta = GetTrackTheta();
-  Float_t TrackPhi   = GetTrackPhi();
-  Float_t pmod       = GetTrackMomentum();
-  //  Int_t q            = GetTrackCharge();
-
-  //  Int_t TrackIndex = GetTrackIndex();
-  Int_t MipIndex   = GetMipIndex();
-
-  Bool_t kPatRec = kFALSE;  
-
-  Int_t CandidatePhotons = 0;
-
-  Float_t ShiftX = GetShiftX();
-  Float_t ShiftY = GetShiftY();
-
-  Float_t* CandidatePhotonX = GetCandidatePhotonX();
-  Float_t* CandidatePhotonY = GetCandidatePhotonY();
-
-  Int_t CandidatePhotonsNumber = GetCandidatePhotonsNumber();
-
-  if(fDebug) cout << " n " << CandidatePhotonsNumber << endl;
-
-  SetThetaCerenkov(999.);
-  SetHoughPhotons(0);
-  SetHoughPhotonsNorm(0);
-  SetHoughRMS(999.);
-
-  for (Int_t j=0; j < CandidatePhotonsNumber; j++)
-    {
-
-      SetPhotonIndex(j);
-
-      SetPhotonFlag(0);
-      SetPhotonEta(-999.);
-      SetPhotonWeight(0.);
-
-      if (j == MipIndex) continue;
-
-      //      h2_test1->Fill(CandidatePhotonX[j],CandidatePhotonY[j]);
-        
-      if(CandidatePhotonX[j] < -64.) continue; /* avoid artificial clusters from edge uesd by Yale.... */
-
-      Float_t Xtoentr = CandidatePhotonX[j] - ShiftX;
-      Float_t Ytoentr = CandidatePhotonY[j] - ShiftY;
-
-      //      Float_t chargehit = fHits_charge[j]; 
-      //      if(chargehit > 150) continue;
-
-      SetEntranceX(Xtoentr);
-      SetEntranceY(Ytoentr);
-
-      FindPhiPoint();
-
-      Int_t PhotonStatus = PhotonInBand();
-      if(fDebug)
-         {
-            cout << " Photon n. " << j << " Status " << PhotonStatus << " accepted " << endl;
-            cout << " CandidatePhotonX[j] " << CandidatePhotonX[j] << " CandidatePhotonY[j] " << CandidatePhotonY[j] << endl;
-         }
-    
-      if(PhotonStatus == 0) continue;
-
-      SetPhotonFlag(1);
-
-      FindThetaPhotonCerenkov();
-
-      Float_t ThetaPhotonCerenkov = GetThetaPhotonCerenkov();
-
-      if(fDebug) cout << " theta photon " << ThetaPhotonCerenkov << endl;
-
-      SetPhotonEta(ThetaPhotonCerenkov);
-
-      CandidatePhotons++;
-
-      // fill histograms
-
-      //      h2_test4->Fill(CandidatePhotonX[j],CandidatePhotonY[j]);
-
-      //      if(kDISPLAY) h1_photons->Fill(ThetaPhotonCerenkov);
-      
-    }
-
-  if(CandidatePhotons >= 1) kPatRec = kTRUE;
-
-  if(!kPatRec) return;
-    {
-       SetThetaCerenkov(999.);
-       SetHoughPhotons(0);
-    }
-  SetPhotonsNumber(CandidatePhotonsNumber);
-
-  HoughResponse();
-  
-  NRings++;
-
-  FlagPhotons();
-  Int_t NPhotonHough = GetHoughPhotons();
-  if(NPhotonHough < 1) 
-    {
-      SetThetaCerenkov(999.);
-      SetHoughPhotonsNorm(0.);
-      return;
-    }
-
-  if(kWEIGHT) FindWeightThetaCerenkov();
-
-  Float_t ThetaCerenkov = GetThetaCerenkov();
-
-  SetThetaOfRing(ThetaCerenkov);
-  FindAreaAndPortionOfRing();
-
-  Float_t NPhotonHoughNorm = ((Float_t)NPhotonHough)/GetPortionOfRing();
-  SetHoughPhotonsNorm(NPhotonHoughNorm);
-
-  // Calculate the area where the photon are accepted...
-
-  Float_t ThetaInternal = ThetaCerenkov - 0.5*fWindowWidth; 
-  SetThetaOfRing(ThetaInternal);
-  FindAreaAndPortionOfRing();
-  Float_t InternalArea = GetAreaOfRing();
-
-  Float_t ThetaExternal = ThetaCerenkov + 0.5*fWindowWidth; 
-  SetThetaOfRing(ThetaExternal);
-  FindAreaAndPortionOfRing();
-  Float_t ExternalArea = GetAreaOfRing();
-
-  Float_t HoughArea = ExternalArea - InternalArea;
-
-  SetHoughArea(HoughArea);
-
-  if(fDebug)
-    {
-      cout << " ----- SUMMARY OF RECONSTRUCTION ----- " << endl; 
-      cout << " Rings found " << NRings << " with thetac " << ThetaCerenkov << endl;
-      
-      h1_hough->Fill(ThetaCerenkov,1.);
-      
-      cout << " Nphotons " << GetPhotonsNumber() 
-          << " Hough    " << NPhotonHough 
-          << " norm     " << NPhotonHoughNorm << endl;
-      
-      cout << " In PatRec:p " << pmod << " theta " << TrackTheta << " phi " << TrackPhi << endl;
-      cout << " ------------------------------------- " << endl; 
-    }
-
-  Int_t NPhotons = GetPhotonsNumber();
-
-  Float_t xmean = 0.;
-  Float_t x2mean = 0.;
-  Int_t nev = 0;
-
-  for (Int_t j=0; j < NPhotons;j++)
-    {
-      SetPhotonIndex(j);
-
-      Float_t eta = GetPhotonEta();
-
-      if(eta != -999.) 
-       {
-         if(GetPhotonFlag() == 2) 
-           {
-
-             if(pmod>2.5&&ThetaCerenkov>0.65) photris->Fill(eta);
-
-             xmean += eta;
-             x2mean += eta*eta;
-             nev++;
-           }
-       }
-    }
-
-  if(nev > 0)
-    {
-      xmean /=(Float_t)nev;
-      x2mean /=(Float_t)nev;
-    } else {
-      xmean = 0.;
-      x2mean = 0.;
-    }
-
-  Float_t RMS = sqrt(x2mean - xmean*xmean);
-
-  SetHoughRMS(RMS);
-
-  if(fDebug) cout << " RMS " << RMS << endl;
-
-}
-
-void AliRICHRecon::FindEmissionPoint()
-{ 
-
-// Find emission point
-
-  Float_t absorbtionLenght=7.83*RadiatorWidth; //absorption length in the freon (cm)
-  // 7.83 = -1/ln(T0) where 
-  // T0->Trasmission freon at 180nm = 0.88 (Eph=6.85eV)
-  Float_t photonLenght, photonLenghtMin, photonLenghtMax;
-
-  photonLenght=exp(-RadiatorWidth/(absorbtionLenght*cos(fCerenkovAnglePad)));
-  photonLenghtMin=RadiatorWidth*photonLenght/(1.-photonLenght);
-  photonLenghtMax=absorbtionLenght*cos(fCerenkovAnglePad);
-  Float_t EmissionPoint = RadiatorWidth + photonLenghtMin - photonLenghtMax;
-
-  SetEmissionPoint(EmissionPoint);
-}
-
-
-Int_t AliRICHRecon::PhotonInBand()
-{
-
-  //  Float_t MassOfParticle;
-  Float_t beta;
-  Float_t nfreon;
-
-  Float_t thetacer;
-
-  Float_t Xtoentr = GetEntranceX();
-  Float_t Ytoentr = GetEntranceY();
-
-  Float_t InnerRadius;
-  Float_t OuterRadius;
-
-  Float_t phpad = GetPhiPoint();
-
-  //  Float_t pmod = GetTrackMomentum();
-  //  Float_t TrackTheta = GetTrackTheta();
-  //  Float_t TrackPhi = GetTrackPhi();
-
-  // inner radius //
-  SetPhotonEnergy(5.6);
-  SetEmissionPoint(RadiatorWidth -0.0001);
-  SetMassHypotesis(0.93828);
-
-  SetBetaOfParticle();
-  SetFreonRefractiveIndex();
-
-  beta   = GetBetaOfParticle();
-  nfreon = GetFreonRefractiveIndex();
-
-  thetacer = Cerenkovangle(nfreon,beta);
-
-  thetacer = 0.;
-
-  if(fDebug) cout << " thetacer in photoninband min " << thetacer << endl;
-
-  FindThetaAtQuartz(thetacer);
-
-  if(thetacer == 999. || GetThetaAtQuartz() == 999.)
-    {
-      InnerRadius = -999.;
-      SetXInnerRing(-999.);
-      SetYInnerRing(-999.);
-      SetRadiusInnerRing(-999.);
-    }
-  else
-    {
-      SetThetaPhotonInDRS(GetThetaAtQuartz());
-      SetPhiPhotonInDRS(phpad);
-
-      InnerRadius = FromEmissionToCathode();
-       if(InnerRadius == 999.) InnerRadius = -999.;
-      
-      SetXInnerRing(GetXPointOnCathode());
-      SetYInnerRing(GetYPointOnCathode());
-      SetRadiusInnerRing(InnerRadius);
-    }
-  
-  // outer radius //
-  SetPhotonEnergy(7.7);
-  SetEmissionPoint(0.);
-//  SetMassHypotesis(0.139567);
-  SetMassHypotesis(0.);
-
-  SetBetaOfParticle();
-  SetFreonRefractiveIndex();
-
-  beta   = GetBetaOfParticle();
-  nfreon = GetFreonRefractiveIndex();
-
-  thetacer = Cerenkovangle(nfreon,beta);
-
-  //  thetacer = 0.75;
-
-  if(fDebug) cout << " thetacer in photoninband max " << thetacer << endl;
-
-  FindThetaAtQuartz(thetacer);
-
-  if(thetacer == 999. || GetThetaAtQuartz() == 999.)
-    {
-      OuterRadius = 999.;
-      SetXOuterRing(999.);
-      SetYOuterRing(999.);
-      SetRadiusOuterRing(999.);
-    }
-  else
-    {
-      SetThetaPhotonInDRS(GetThetaAtQuartz());
-      SetPhiPhotonInDRS(phpad);
-
-      OuterRadius = FromEmissionToCathode();
-//      cout << " OuterRadius " << OuterRadius << endl;
-      SetXOuterRing(GetXPointOnCathode());
-      SetYOuterRing(GetYPointOnCathode());
-      SetRadiusOuterRing(OuterRadius);
-    }
-
-  Float_t padradius = sqrt(TMath::Power(Xtoentr,2)+TMath::Power(Ytoentr,2));
-  
-  if(fDebug) printf(" rmin %f r %f rmax %f \n",InnerRadius,padradius,OuterRadius);
-
-  if(padradius>=InnerRadius && padradius<=OuterRadius) return 1;
-  return 0;
-}
-
-void AliRICHRecon::FindThetaAtQuartz(Float_t ThetaCerenkov)
-{
-
-  if(ThetaCerenkov == 999.) 
-    {
-      SetThetaAtQuartz(999.);
-      return;
-    }
-
-  Float_t ThetaAtQuartz = 999.;
-
-  Float_t TrackTheta = GetTrackTheta();
-
-  if(TrackTheta == 0) {
-
-    if(fDebug) cout << " Theta sol unique " << ThetaCerenkov << endl;  
-
-    ThetaAtQuartz = ThetaCerenkov;
-    SetThetaAtQuartz(ThetaAtQuartz);
-    return;
-  }
-
-  Float_t TrackPhi   = GetTrackPhi();
-  Float_t PhiPoint = GetPhiPoint();
-
-  Double_t den = TMath::Sin((Double_t)TrackTheta)
-    *TMath::Cos((Double_t)TrackPhi)
-    *TMath::Cos((Double_t)PhiPoint) +
-    TMath::Sin((Double_t)TrackTheta)
-    *TMath::Sin((Double_t)TrackPhi)
-    *TMath::Sin((Double_t)PhiPoint); 
-  Double_t b = TMath::Cos((Double_t)TrackTheta)/den;
-  Double_t c = -TMath::Cos((Double_t)ThetaCerenkov)/den;
-
-  Double_t UnderSqrt = 1 + b*b - c*c;
-
-  if(fDebug)
-    {
-      cout << " TrackTheta    " << TrackTheta    << endl;
-      cout << " TrackPhi      " << TrackPhi      << endl;
-      cout << " PhiPoint      " << PhiPoint      << endl;
-      cout << " ThetaCerenkov " << ThetaCerenkov << endl;
-      cout << " den b c " << den << " b " << b << " c " << c << endl;
-    }
-
-  if(UnderSqrt < 0) {
-    if(fDebug) cout << " sqrt negative !!!!" << UnderSqrt << endl;
-    SetThetaAtQuartz(999.);
-    return;
-  }
-
-  Double_t sol1 = (1+TMath::Sqrt(UnderSqrt))/(b-c);
-  Double_t sol2 = (1-TMath::Sqrt(UnderSqrt))/(b-c);
-
-  Double_t ThetaSol1 = 2*TMath::ATan(sol1);
-  Double_t ThetaSol2 = 2*TMath::ATan(sol2);
-
-  if(fDebug) cout << " Theta sol 1 " << ThetaSol1 
-                 << " Theta sol 2 " << ThetaSol2 << endl;  
-
-  if(ThetaSol1>0 && ThetaSol1 < pi) ThetaAtQuartz = (Float_t)ThetaSol1;
-  if(ThetaSol2>0 && ThetaSol2 < pi) ThetaAtQuartz = (Float_t)ThetaSol2;
-
-  SetThetaAtQuartz(ThetaAtQuartz);
-}
-
-void AliRICHRecon::FindThetaPhotonCerenkov()
-{
-
-  Float_t ThetaCerMin = 0.;
-  Float_t ThetaCerMax = 0.75;
-  Float_t ThetaCerMean;
-
-  Float_t RadiusMin, RadiusMax, RadiusMean;
-  Int_t nIteration = 0;
-
-  const Float_t Tollerance = 0.05;
-
-  //  Float_t pmod = GetTrackMomentum();
-  //  Float_t TrackTheta = GetTrackTheta();
-  //  Float_t TrackPhi = GetTrackPhi();
-
-  Float_t PhiPoint = GetPhiPoint();
-
-  SetPhotonEnergy(6.85);
-  SetEmissionPoint(RadiatorWidth/2);
-
-  Float_t XPoint = GetEntranceX();
-  Float_t YPoint = GetEntranceY();
-  Float_t DistPoint = sqrt(XPoint*XPoint + YPoint*YPoint);
-
-  if(fDebug) cout << " DistPoint " << DistPoint << endl;
-
-  // Star minimization...
-
-  // First value...
-
-  FindThetaAtQuartz(ThetaCerMin);
-  
-  if(GetThetaAtQuartz() == 999.)
-    {
-      RadiusMin = -999.;
-    }
-  else
-    {
-      SetThetaPhotonInDRS(GetThetaAtQuartz());
-      SetPhiPhotonInDRS(PhiPoint);
-      
-      RadiusMin = FromEmissionToCathode();
-    }
-
-  // Second value...
-
-  FindThetaAtQuartz(ThetaCerMax);
-  if(GetThetaAtQuartz() == 999.)
-    {
-      RadiusMax = 999.;
-    }
-  else
-    {
-      SetThetaPhotonInDRS(GetThetaAtQuartz());
-      SetPhiPhotonInDRS(PhiPoint);
-      
-      RadiusMax = FromEmissionToCathode();
-    }
-  // Mean value...
-
-  ThetaCerMean = (ThetaCerMax + ThetaCerMin)/2;
-
-  FindThetaAtQuartz(ThetaCerMean);
-  if(GetThetaAtQuartz() == 999.)
-    {
-      RadiusMean = 999.;
-    }
-  else
-    {
-      SetThetaPhotonInDRS(GetThetaAtQuartz());
-      SetPhiPhotonInDRS(PhiPoint);
-      
-      RadiusMean = FromEmissionToCathode();
-    }
-
-  if(fDebug) cout << " r1 " << RadiusMin << " rmean " 
-                 << RadiusMean << " r2 " << RadiusMax << endl;
-
-  while (TMath::Abs(RadiusMean-DistPoint) > Tollerance)
-    {
-
-      if((RadiusMin-DistPoint)*(RadiusMean-DistPoint) < 0) ThetaCerMax = ThetaCerMean;
-      if((RadiusMin-DistPoint)*(RadiusMean-DistPoint) > 0) {
-
-       ThetaCerMin = ThetaCerMean;
-
-       FindThetaAtQuartz(ThetaCerMin);
-       SetThetaPhotonInDRS(GetThetaAtQuartz());
-       SetPhiPhotonInDRS(PhiPoint);
-
-       RadiusMin =FromEmissionToCathode();
-      }
-
-      ThetaCerMean = (ThetaCerMax + ThetaCerMin)/2;
-
-      FindThetaAtQuartz(ThetaCerMean);
-      SetThetaPhotonInDRS(GetThetaAtQuartz());
-      SetPhiPhotonInDRS(PhiPoint);
-
-      RadiusMean = FromEmissionToCathode();
-
-      nIteration++;
-      if(nIteration>=50) {
-       if(fDebug) printf(" max iterations in FindPhotonCerenkov\n");
-       SetThetaPhotonCerenkov(999.);
-       return;
-      }
-    }
-
-  SetThetaPhotonCerenkov(ThetaCerMean);
-
-}
-
-void AliRICHRecon::FindAreaAndPortionOfRing()
-{
-
-  Float_t XPoint[NPointsOfRing], YPoint[NPointsOfRing];
-
-  //  Float_t Xtoentr = GetEntranceX();
-  //  Float_t Ytoentr = GetEntranceY();
-  Float_t ShiftX = GetShiftX();
-  Float_t ShiftY = GetShiftY();
-
-  Float_t XEmiss = GetXCoordOfEmission(); 
-  Float_t YEmiss = GetYCoordOfEmission(); 
-
-  Float_t x0 = XEmiss + ShiftX;
-  Float_t y0 = YEmiss + ShiftY;
-
-  //  Float_t pmod = GetTrackMomentum();
-  //  Float_t TrackTheta = GetTrackTheta();
-  //  Float_t TrackPhi = GetTrackPhi();
-
-  SetPhotonEnergy(6.85);
-  SetFreonRefractiveIndex();
-
-  SetEmissionPoint(RadiatorWidth/2.);
-
-  Float_t Theta = GetThetaOfRing();
-  
-  Int_t nPoints = 0;
-  Int_t NPsiAccepted = 0;
-  Int_t NPsiTotal = 0;
-
-  for(Int_t i=0;i<NPointsOfRing-1;i++)
-    {
-
-      Float_t Psi = 2*TMath::Pi()*i/NPointsOfRing;
-      
-      SetThetaPhotonInTRS(Theta);
-      SetPhiPhotonInTRS(Psi);
-      FindPhotonAnglesInDRS();
-      
-      Float_t Radius = FromEmissionToCathode();
-      if (Radius == 999.) continue;
-      
-      NPsiTotal++;
-
-      Float_t XPointRing = GetXPointOnCathode() + ShiftX;
-      Float_t YPointRing = GetYPointOnCathode() + ShiftY;
-      
-      SetDetectorWhereX(XPointRing);
-      SetDetectorWhereY(YPointRing);
-      
-      Int_t Zone = CheckDetectorAcceptance();
-
-//      cout << " XPointing " << XPointRing << " YPointing " << YPointRing << " Zone " << Zone << endl;
-//      cout << " ShiftX " << ShiftX << " ShiftY " << ShiftY << endl;
-//      cout << " GetXPointOnCathode() " << GetXPointOnCathode() << endl;
-//      cout << " GetYPointOnCathode() " << GetYPointOnCathode() << endl;
-
-      if (Zone != 0) 
-       {
-         FindIntersectionWithDetector();
-         XPoint[nPoints] = GetIntersectionX();
-         YPoint[nPoints] = GetIntersectionY();
-       }
-      else
-       {
-         XPoint[nPoints] = XPointRing;
-         YPoint[nPoints] = YPointRing;
-         NPsiAccepted++;
-       }
-
-      nPoints++;
-
-    }
-
-  XPoint[nPoints] = XPoint[0];
-  YPoint[nPoints] = YPoint[0];
-  
-  // find area...
-
-  Float_t Area = 0;
-
-  for (Int_t i = 0; i < nPoints; i++)
-    {
-      Area += TMath::Abs((XPoint[i]-x0)*(YPoint[i+1]-y0) - (XPoint[i+1]-x0)*(YPoint[i]-y0));
-    }
-  
-  Area *= 0.5;
-  
-  Float_t PortionOfRing = ((Float_t)NPsiAccepted)/((Float_t)(NPsiTotal));
-
-  //  cout << " Area " << Area << " Portion of ring " << PortionOfRing << endl;
-
-  SetAreaOfRing(Area);
-  SetPortionOfRing(PortionOfRing);
-}
-
-void AliRICHRecon::FindIntersectionWithDetector()
-{
-
-  Float_t XIntersect, YIntersect;
-  Float_t x1, x2, y1, y2;
-
-  Float_t ShiftX = GetShiftX();
-  Float_t ShiftY = GetShiftY();
-
-  Float_t XPoint = GetXPointOnCathode() + ShiftX;
-  Float_t YPoint = GetYPointOnCathode() + ShiftY;
-
-  Float_t XEmiss = GetXCoordOfEmission(); 
-  Float_t YEmiss = GetYCoordOfEmission(); 
-
-  Float_t Phi = GetPhiPhotonInDRS();
-  Float_t m = tan(Phi);
-
-  Float_t x0 = XEmiss + ShiftX;
-  Float_t y0 = YEmiss + ShiftY;
-
-  if(XPoint > x0)
-    {
-      x1 = x0;
-      x2 = XPoint;
-    }
-  else
-    {
-      x2 = x0;
-      x1 = XPoint;
-    }
-  if(YPoint > y0)
-    {
-      y1 = y0;
-      y2 = YPoint;
-    }
-  else
-    {
-      y2 = y0;
-      y1 = YPoint;
-    }
-  //
-  XIntersect = Xmax;
-  YIntersect = m*(XIntersect - x0) + y0;
-  if (YIntersect >= Ymin && YIntersect <= Ymax && XIntersect >= x1 && XIntersect <= x2)
-    {
-      SetIntersectionX(XIntersect);
-      SetIntersectionY(YIntersect);
-      return;
-    }
-  //
-  XIntersect = Xmin;
-  YIntersect = m*(XIntersect - x0) + y0;
-  if (YIntersect >= Ymin && YIntersect <= Ymax && XIntersect >= x1 && XIntersect <= x2)
-    {
-      SetIntersectionX(XIntersect);
-      SetIntersectionY(YIntersect);
-      return;
-    }
-  //
-  YIntersect = Ymax;
-  XIntersect = (YIntersect - y0)/m + x0;
-  if (XIntersect >= Xmin && XIntersect <= Xmax && YIntersect >= y1 && YIntersect <= y2)
-    {
-      SetIntersectionX(XIntersect);
-      SetIntersectionY(YIntersect);
-      return;
-    }
-  //
-  YIntersect = Ymin;
-  XIntersect = (YIntersect - y0)/m + x0;
-  if (XIntersect >= Xmin && XIntersect <= Xmax && YIntersect >= y1 && YIntersect <= y2)
-    {
-      SetIntersectionX(XIntersect);
-      SetIntersectionY(YIntersect);
-      return;
-    }
-  
-  cout << " sono fuori!!!!!!" << endl;
-//  cout << " x1 " << x1 << " x2 " << x2 << endl;
-//  cout << " y1 " << y1 << " y2 " << y2 << endl;
-//  cout << " Xmin " << Xmin << " Xmax " << Xmax << endl;
-//  cout << " Ymin " << Ymin << " Ymax " << Ymax << endl;
-  
-}
-
-Int_t AliRICHRecon::CheckDetectorAcceptance()
-{
-
-  // crosses X -2.6 2.6 cm
-  // crosses Y -1 1 cm
-
-  Float_t Xcoord = GetDetectorWhereX();
-  Float_t Ycoord = GetDetectorWhereY();
-
-//  cout << " Xcoord " << Xcoord << " Ycoord " << Ycoord << endl;
-  if(Xcoord > Xmax)
-    {
-      if(Ycoord > Ymax) return 2;
-      if(Ycoord > Ymin && Ycoord < Ymax) return 3;
-      if(Ycoord < Ymin) return 4;
-    }
-  if(Xcoord < Xmin)
-    {
-      if(Ycoord > Ymax) return 8;
-      if(Ycoord > Ymin && Ycoord < Ymax) return 7;
-      if(Ycoord < Ymin) return 6;
-    }
-  if(Xcoord > Xmin && Xcoord < Xmax)
-    {
-      if(Ycoord > Ymax) return 1;
-      if(Ycoord > Ymin && Ycoord < Ymax) return 0;
-      if(Ycoord < Ymin) return 5;
-    }
-  return 999;
-}
-
-void AliRICHRecon::DrawRing()
-{
-
-  //  Float_t xGraph[1000],yGraph[1000];
-
-  Float_t type;
-  //  Float_t MassOfParticle;
-  Float_t beta;
-  Float_t nfreon;
-
-  Float_t ThetaCerenkov;
-
-  //  Float_t Xtoentr = GetEntranceX();
-  //  Float_t Ytoentr = GetEntranceY();
-
-  //  Float_t pmod = GetTrackMomentum();
-  //  Float_t TrackTheta = GetTrackTheta();
-  //  Float_t TrackPhi = GetTrackPhi();
-
-  SetPhotonEnergy(6.85);
-  SetFreonRefractiveIndex();
-
-  SetEmissionPoint(RadiatorWidth/2.);
-
-  type = 1;
-
-  if(type == 1)
-    {
-      SetMassHypotesis(0.139567);
-      SetBetaOfParticle();
-      
-      beta   = GetBetaOfParticle();   
-      
-    }
-  else if(type == 2)
-    {
-      ThetaCerenkov = GetThetaCerenkov();
-      FindBetaFromTheta(ThetaCerenkov);
-    }
-  
-  nfreon = GetFreonRefractiveIndex();
-  
-  Float_t thetacer = Cerenkovangle(nfreon,beta);
-
-  if(fDebug) cout << " TetaCer in DrawRing " << thetacer << endl;
-
-  Int_t nPoints = 100;
-
-  Int_t nPointsToDraw = 0;
-  for(Int_t i=0;i<nPoints;i++)
-    {
-      Float_t phpad = 2*TMath::Pi()*i/nPoints;
-      SetThetaPhotonInTRS(thetacer);
-      SetPhiPhotonInTRS(phpad);
-      FindPhotonAnglesInDRS();
-      Float_t Radius = FromEmissionToCathode();
-      if (Radius == 999.) continue;
-      xGraph[nPointsToDraw] = GetXPointOnCathode() + GetShiftX();
-      yGraph[nPointsToDraw] = GetYPointOnCathode() + GetShiftY();
-      //      cout << " get shift X " << GetShiftX() << endl;
-      //      cout << " get shift Y " << GetShiftY() << endl;
-      nPointsToDraw++;
-    }
-
-
-  if(fDebug) cout << " Drawing the Ring... with " << nPointsToDraw << " points " << endl;
-
-  //  pol = new TPolyLine(nPointsToDraw,xGraph,yGraph);
-  //  pol->Draw("same");
-  gra = new TGraph(nPointsToDraw,xGraph,yGraph);
-  gra->Draw("AC");
-  StarCanvas->Update();
-}
-
-Float_t AliRICHRecon::PhotonPositionOnCathode()
-{ 
-  //  Float_t MassOfParticle;
-  Float_t beta;
-  Float_t nfreon;
-
-  //  Float_t pmod = GetTrackMomentum();
-  //  Float_t TrackTheta = GetTrackTheta();
-  //  Float_t TrackPhi = GetTrackPhi();
-
-  //  Float_t phpad = GetPhiPoint();
-
-  SetPhotonEnergy(6.85);
-  SetEmissionPoint(RadiatorWidth/2.);
-  SetMassHypotesis(0.139567);
-
-  SetBetaOfParticle();
-  SetFreonRefractiveIndex();
-
-  beta   = GetBetaOfParticle();   
-  nfreon = GetFreonRefractiveIndex();
-
-  //  Float_t thetacer = Cerenkovangle(nfreon,beta);
-
-  //  cout << " FromEmissionToCathode: thetacer " << thetacer << " phpad " << phpad << endl;
-
-  Float_t Radius = FromEmissionToCathode();
-  if (Radius == 999.) return 999.;
-
-  //  Float_t Xphoton = GetXPointOnCathode();
-  //  Float_t Yphoton = GetYPointOnCathode();
-  //  cout << " PhotonPositionOnCathode: Xphoton " << Xphoton << " Yphoton " << Yphoton <<
-  //  " Radius for photon " << Radius << endl;
-  return 0;
-}
-
-void AliRICHRecon::FindPhotonAnglesInDRS()
-{
-  // Setup the rotation matrix of the track...
-
-  TRotation Mtheta;
-  TRotation Mphi;
-  TRotation Minv;
-  TRotation Mrot;
-  
-  Float_t TrackTheta = GetTrackTheta();
-  Float_t TrackPhi = GetTrackPhi();
-
-  Mtheta.RotateY(TrackTheta);
-  Mphi.RotateZ(TrackPhi);
-  
-  Mrot = Mphi * Mtheta;
-  //  Minv = Mrot.Inverse();
-
-  TVector3 PhotonInRadiator(1,1,1);
-
-  Float_t ThetaCerenkov = GetThetaPhotonInTRS();
-  Float_t PhiCerenkov   = GetPhiPhotonInTRS();
-
-  PhotonInRadiator.SetTheta(ThetaCerenkov);
-  PhotonInRadiator.SetPhi(PhiCerenkov);
-  PhotonInRadiator = Mrot * PhotonInRadiator;
-  Float_t Theta = PhotonInRadiator.Theta();
-  Float_t Phi = PhotonInRadiator.Phi();
-  SetThetaPhotonInDRS(Theta);
-  SetPhiPhotonInDRS(Phi);
-
-}
-
-Float_t AliRICHRecon::FromEmissionToCathode()
-{
-
-  Float_t nfreon, nquartz, ngas; 
-
-  SetFreonRefractiveIndex();
-  SetQuartzRefractiveIndex();
-  SetGasRefractiveIndex();
-
-  nfreon  = GetFreonRefractiveIndex();
-  nquartz = GetQuartzRefractiveIndex();
-  ngas    = GetGasRefractiveIndex();
-
-  Float_t TrackTheta = GetTrackTheta();
-  Float_t TrackPhi = GetTrackPhi();
-  Float_t LengthOfEmissionPoint = GetEmissionPoint();
-
-  Float_t Theta = GetThetaPhotonInDRS();
-  Float_t Phi   = GetPhiPhotonInDRS();
-
-//   cout << " Theta " << Theta << " Phi " << Phi << endl;
-
-  Float_t xEmiss = LengthOfEmissionPoint*tan(TrackTheta)*cos(TrackPhi);
-  Float_t yEmiss = LengthOfEmissionPoint*tan(TrackTheta)*sin(TrackPhi);
-
-  SetXCoordOfEmission(xEmiss);
-  SetYCoordOfEmission(yEmiss);
-  
-  Float_t thetaquar = SnellAngle(nfreon, nquartz, Theta);
-
-  if(thetaquar == 999.) 
-    {
-      SetXPointOnCathode(999.);
-      SetYPointOnCathode(999.);
-      return thetaquar;
-    }
-
-  Float_t thetagap  = SnellAngle( nquartz, ngas, thetaquar);
-
-  if(thetagap == 999.) 
-    {
-      SetXPointOnCathode(999.);
-      SetYPointOnCathode(999.);
-      return thetagap;
-    }
-
-  Float_t xw = (RadiatorWidth - LengthOfEmissionPoint)*cos(Phi)*tan(Theta);
-  Float_t xq = QuartzWidth*cos(Phi)*tan(thetaquar);
-  Float_t xg = GapWidth*cos(Phi)*tan(thetagap);
-  Float_t yw = (RadiatorWidth - LengthOfEmissionPoint)*sin(Phi)*tan(Theta);
-  Float_t yq = QuartzWidth*sin(Phi)*tan(thetaquar);
-  Float_t yg = GapWidth*sin(Phi)*tan(thetagap);
-
-//  Float_t xtot = x1 + xw + xq + xg;
-//  Float_t ytot = y1 + yw + yq + yg;
-
-  Float_t xtot = xEmiss + xw + xq + xg;
-  Float_t ytot = yEmiss + yw + yq + yg;
-
-  SetXPointOnCathode(xtot);
-  SetYPointOnCathode(ytot);
-
-//  cout << " xtot " << xtot << " ytot " << ytot << endl;
-
-  Float_t DistanceFromEntrance = sqrt(TMath::Power(fPhotonLimitX,2)
-                                   +TMath::Power(fPhotonLimitY,2)); 
-
-  return DistanceFromEntrance;
-
-}
-
-
-void AliRICHRecon::FindPhiPoint()
-{
-
-  Float_t Xtoentr = GetEntranceX();
-  Float_t Ytoentr = GetEntranceY();
-
-  Float_t TrackTheta = GetTrackTheta();
-  Float_t TrackPhi = GetTrackPhi();
-
-  Float_t EmissionPoint = GetEmissionPoint();
-
-  Float_t argY = Ytoentr - EmissionPoint*tan(TrackTheta)*sin(TrackPhi);
-  Float_t argX = Xtoentr - EmissionPoint*tan(TrackTheta)*cos(TrackPhi);
-  Float_t phipad = atan2(argY,argX); 
-
-  SetPhiPoint(phipad);
-
-}
-
-Float_t AliRICHRecon::Cerenkovangle(Float_t n, Float_t beta)
+//////////////////////////////////////////////////////////////////////////
+//                                                                      //
+// AliRICHRecon                                                         //
+//                                                                      //
+// RICH class to perfom pattern recognition based on Hough transfrom    //
+// for single chamber                                                   //
+//////////////////////////////////////////////////////////////////////////
+
+#include "AliRICHRecon.h"  //class header
+#include "AliRICHCluster.h" //CkovAngle()
+#include <AliLog.h>        //AliInfo()
+#include <TMath.h>         //many 
+#include <TRotation.h>      //
+#include <TH1D.h>          //HoughResponse()
+#include <TClonesArray.h>  //CkovAngle()
+
+const Double_t AliRICHRecon::fkRadThick=1.5;
+const Double_t AliRICHRecon::fkWinThick=0.5;
+const Double_t AliRICHRecon::fkGapThick=8.0;
+const Double_t AliRICHRecon::fkRadIdx  =1.292;
+const Double_t AliRICHRecon::fkWinIdx  =1.5787;
+const Double_t AliRICHRecon::fkGapIdx  =1.0005;
+
+
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+AliRICHRecon::AliRICHRecon():TTask("RichRec","RichPat"),
+  fPhotCnt(-1),
+  fCkovSigma2(0),
+  fIsWEIGHT(kFALSE),
+  fDTheta(0.001),
+  fWindowWidth(0.045),
+  fTrkDir(TVector3(0,0,1)),fTrkPos(TVector2(30,40))  
 {
-
-// Compute the cerenkov angle
-
-  Float_t thetacer;
-
-  if((n*beta)<1.) {
-    thetacer = 999.;
-    //    cout << " warning in Cerenkoangle !!!!!! " << endl;
-    return thetacer;
+// main ctor
+  for (Int_t i=0; i<3000; i++) {
+    fPhotFlag[i] =  0;
+    fPhotCkov[i] = -1;
+    fPhotPhi [i] = -1;
+    fPhotWei [i] =  0;
   }
-
-  thetacer = acos (1./(n*beta));
-  return thetacer;
 }
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::CkovAngle(TClonesArray *pCluLst,Int_t &iNaccepted)
+{
+// Pattern recognition method based on Hough transform
+// Arguments: pCluLst  - list of clusters for this chamber   
+//   Returns:          - track ckov angle, [rad], 
+  
+  if(pCluLst->GetEntries()>200) fIsWEIGHT = kTRUE; // offset to take into account bkg in reconstruction
+  else                          fIsWEIGHT = kFALSE;
 
-Float_t AliRICHRecon::SnellAngle(Float_t n1, Float_t n2, Float_t theta1)
-{ 
-
-// Compute the Snell angle
-
-  Float_t sinrefractangle;
-  Float_t refractangle;
-
-  sinrefractangle = (n1/n2)*sin(theta1);
+  // Photon Flag:  Flag = 0 initial set; Flag = 1 good candidate (charge compatible with photon); Flag = 2 photon used for the ring;
 
-  if(sinrefractangle>1.) {
-    //    cout << " PROBLEMS IN SNELL ANGLE !!!!! " << endl;
-    refractangle = 999.;
-    return refractangle;
+  fPhotCnt=0;                                                      
+  for (Int_t iClu=0; iClu<pCluLst->GetEntriesFast();iClu++){//clusters loop
+    AliRICHCluster *pClu=(AliRICHCluster*)pCluLst->UncheckedAt(iClu);                       //get pointer to current cluster    
+    if(pClu->Q()>100) continue;                                                             //avoid MIP clusters from bkg
+    
+    fPhotCkov[fPhotCnt]=FindPhotCkov(pClu->X(),pClu->Y());                                  //find ckov angle for this  photon candidate
+    fPhotCnt++;         //increment counter of photon candidates
+  }//clusters loop
+
+  iNaccepted=FlagPhot(HoughResponse()); //flag photons according to individual theta ckov with respect to most probable track theta ckov
+  if(iNaccepted<1) return -11; 
+  else             return FindRingCkov(pCluLst->GetEntries());  //find best Theta ckov for ring i.e. track
+}//ThetaCerenkov()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::FindPhotCkov(Double_t cluX,Double_t cluY)
+{
+// Finds Cerenkov angle  for this photon candidate
+// Arguments: cluX,cluY - position of cadidate's cluster  
+//   Returns: Cerenkov angle 
+
+  TVector2 pos(cluX,cluY); Double_t cluR=(pos-fTrkPos).Mod();  Double_t phi=FindPhotPhi(cluX,cluY);      
+  Printf("new dist %f phi %f",cluR,phi);
+  Double_t ckov1=0,ckov2=0.75;
+  const Double_t kTol=0.05; 
+  Int_t iIterCnt = 0;
+  while(1){
+    if(iIterCnt>=50) return -1;
+    Double_t ckov=0.5*(ckov1+ckov2);
+    Double_t dist=cluR-TracePhoton(ckov,phi,pos); iIterCnt++; //get distance between trial point and cluster position
+    Printf("New: phi %f ckov %f dist %f",phi,ckov,dist);
+    if     (dist> kTol) ckov1=ckov;                           //cluster @ larger ckov 
+    else if(dist<-kTol) ckov2=ckov;                           //cluster @ smaller ckov
+    else                return ckov;                          //precision achived         
   }
+}//FindPhotTheta()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::FindPhotPhi(Double_t cluX,Double_t cluY)
+{
+// Finds phi angle og photon candidate by considering the cluster's position  of this candudate w.r.t track position
   
-  refractangle = asin(sinrefractangle);  
-  return refractangle;
+  Double_t emiss=0; 
+  return fPhotPhi[fPhotCnt]=TMath::ATan2(cluY-fTrkPos.Y()-emiss*TMath::Tan(fTrkDir.Theta())*TMath::Sin(fTrkDir.Phi()),
+                                         cluX-fTrkPos.X()-emiss*TMath::Tan(fTrkDir.Theta())*TMath::Cos(fTrkDir.Phi()));
 }
-
-
-void AliRICHRecon::HoughResponse()
-
-{      
-
-// Implement Hough response pat. rec. method
-
-  Float_t *HCSspace;
-
-  int          bin=0;
-  int           bin1=0;
-  int           bin2=0;
-  int           i, j, k, nCorrBand;
-  float         hcs[750],hcsw[750];
-  float         angle, weight;
-  float         lowerlimit,upperlimit;
-
-  float         etaPeak[100];
-
-  int           nBin;
-
-  float etaPeakPos  = -1;
-
-  Int_t   etaPeakCount = -1;
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::FindRingArea(Double_t ckovAng)const
+{
+// Find area inside the cerenkov ring which lays inside PCs
+// Arguments: ckovThe - cernkov    
+//   Returns: area of the ring in cm^2 for given theta ckov
+   
   
-  Float_t ThetaCerenkov = 0.;
-    
-  nBin = (int)(0.5+fThetaMax/(fDTheta));
-  nCorrBand = (int)(0.5+ fWindowWidth/(2 * fDTheta)); 
-
-  memset ((void *)hcs, 0, fThetaBin*sizeof(float));
-  memset ((void *)hcsw, 0, fThetaBin*sizeof(float));
-
-  Int_t NPhotons = GetPhotonsNumber();
-
-  Int_t WeightFlag = 0;
-
-  for (k=0; k< NPhotons; k++) {
-
-    SetPhotonIndex(k);
-
-    angle = GetPhotonEta();
-
-    if(angle == -999.) continue;
-
-    if (angle>=fThetaMin && angle<= fThetaMax) 
-
-      {
-
-       bin = (int)(0.5+angle/(fDTheta));
-
-       bin1= bin-nCorrBand;
-       bin2= bin+nCorrBand;
-
-       // calculate weights
-
-       if(kWEIGHT)
-         {
-           lowerlimit = ((Float_t)bin1)*fDTheta + 0.5*fDTheta;
-           SetThetaOfRing(lowerlimit);
-           FindAreaAndPortionOfRing();
-           Float_t area1 = GetAreaOfRing();
-           
-           upperlimit = ((Float_t)bin2)*fDTheta + 0.5*fDTheta;
-           SetThetaOfRing(upperlimit);
-           FindAreaAndPortionOfRing();
-           Float_t area2 = GetAreaOfRing();
-           
-           //      cout << "lowerlimit" << lowerlimit << "upperlimit " << upperlimit << endl;
-            Float_t diffarea = area2 - area1;
-
-            if(diffarea>0)
-              {
-               weight = 1./(area2-area1);
-              }
-            else
-              {
-                WeightFlag = 1;
-               weight = 1.;
-              }
-
-           //      cout <<" low "<< lowerlimit << " up " << upperlimit << 
-           //        " area1 " << area1 << " area2 " << area2 << " weight " << weight << endl;
-           
-         }
-       else
-         {
-           weight = 1.;
-         }
-
-       SetPhotonWeight(weight);
-       
-       //      cout << "weight..." << weight << endl;
-
-       h1_photons1->Fill(angle);
-       h1_photons2->Fill(angle,weight);
-
-       if (bin1<0)    bin1=0;
-       if (bin2>nBin) bin2=nBin;
-      
-       for (j=bin1; j<bin2; j++) 
-         {
-           hcs[j] += 1; 
-           hcsw[j] += weight;
-         }
-      }
-  }
+  TVector2 pos1,pos2;
   
-//   if(kDISPLAY)
-//     {
-//       for(Int_t j=0;j<750;j++)
-//     {
-//       h1_hcs->Fill(((Float_t)j),hcs[j]);
-//       h1_hcsw->Fill(((Float_t)j),hcsw[j]);
-//     }
-//     }
-
-  if(WeightFlag == 0) 
-    {
-      HCSspace = hcsw;
-    }
-  else
-    {
-      HCSspace = hcs;
-      //      cout << " probems with weight...normal procedure adopted " << endl;
-    }
-
-  HoughFiltering(HCSspace);
-
-  for (bin=0; bin <nBin; bin++) {
-    angle = (bin+0.5) * (fDTheta);
-    if (HCSspace[bin] && HCSspace[bin] > etaPeakPos) {
-      etaPeakCount = 0;
-      etaPeakPos = HCSspace[bin];
-      etaPeak[0]=angle;
-    }
-    else { 
-      if (HCSspace[bin] == etaPeakPos) {
-       etaPeak[++etaPeakCount] = angle;
-      }
-    }
-  } 
-
-  for (i=0; i<etaPeakCount+1; i++) {
-    ThetaCerenkov += etaPeak[i];
-  }
-  if (etaPeakCount>=0) {
-    ThetaCerenkov /= etaPeakCount+1;
-    fThetaPeakPos = etaPeakPos;
+  const Int_t kN=100;
+  Double_t area=0;
+  for(Int_t i=0;i<kN;i++){
+    TracePhoton(ckovAng,Double_t(TMath::TwoPi()*i    /kN),pos1);//trace this photon 
+    TracePhoton(ckovAng,Double_t(TMath::TwoPi()*(i+1)/kN),pos2);//trace this photon 
+    area+=(pos1-fTrkPos)*(pos2-fTrkPos);
+      
   }
-
-  SetThetaCerenkov(ThetaCerenkov);
-}
-
-
-void AliRICHRecon::HoughFiltering(float hcs[])
+  return area;
+}//RingArea()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::TracePhoton(Double_t ckovThe,Double_t ckovPhi,TVector2 &pos)const
 {
-
-// hough filtering
-
-   float hcsFilt[750];
-   float k[5] = {0.05, 0.25, 0.4, 0.25, 0.05};
-   int nx, i, nxDx;
-   int sizeHCS;
-   int nBin;
-
-   nBin =  (int)(1+fThetaMax/fDTheta); 
-   sizeHCS = fThetaBin*sizeof(float);
-
-   memset ((void *)hcsFilt, 0, sizeHCS); 
-
-   for (nx = 0; nx < nBin; nx++) {
-      for (i = 0; i < 5; i++)  {
-        nxDx = nx + (i-2);
-       if (nxDx> -1 && nxDx<nBin)
-             hcsFilt[nx] +=  hcs[nxDx] * k[i];
-      }      
-   }
-     
-   for (nx = 0; nx < nBin; nx++) {
-     hcs[nx] = hcsFilt[nx];
-   }
-}
-
-void AliRICHRecon::FindWeightThetaCerenkov()
+// Trace a single Ckov photon from emission point somewhere in radiator up to photocathode taking into account ref indexes of materials it travereses
+// Arguments: ckovThe,ckovPhi- photon ckov angles, [rad]  (warning: not photon theta and phi)     
+//   Returns: distance between photon point on PC and track projection  
+  TRotation mtheta;   mtheta.RotateY(fTrkDir.Theta());
+  TRotation mphi;       mphi.RotateZ(fTrkDir.Phi());  
+  TRotation mrot=mphi*mtheta;
+  
+  TVector3  posCkov(fTrkPos.X(),fTrkPos.Y(),-0.5*fkRadThick-fkWinThick-fkGapThick);   //RAD: photon position is track position @ middle of RAD 
+  TVector3  dirCkov;   dirCkov.SetMagThetaPhi(1,ckovThe,ckovPhi);                     //initially photon is directed according to requested ckov angle
+                                               dirCkov=mrot*dirCkov;                  //now we know photon direction in LORS
+                       dirCkov.SetPhi(ckovPhi);   
+  if(dirCkov.Theta() > TMath::ASin(1./fkRadIdx)) return -999;//total refraction on WIN-GAP boundary
+  
+  Propagate(dirCkov,posCkov,-fkWinThick-fkGapThick); //go to RAD-WIN boundary  remeber that z=0 is PC plane
+  Refract  (dirCkov,         fkRadIdx,fkWinIdx    ); //RAD-WIN refraction
+  Propagate(dirCkov,posCkov,-fkGapThick           ); //go to WIN-GAP boundary
+  Refract  (dirCkov,         fkWinIdx,fkGapIdx    ); //WIN-GAP refraction
+  Propagate(dirCkov,posCkov,0                     ); //go to PC
+  
+  pos.Set(posCkov.X(),posCkov.Y());
+  return (pos-fTrkPos).Mod();
+}//TracePhoton()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+void AliRICHRecon::Propagate(const TVector3 &dir,TVector3 &pos,Double_t z)const
 {
-
-  Float_t wei = 0.;
-  Float_t WeightThetaCerenkov = 0.;
-
-  Int_t NPhotons = GetPhotonsNumber();
-  for(Int_t i=0;i<NPhotons;i++)
-    {
-      SetPhotonIndex(i);
-
-      if(GetPhotonFlag() == 2)
-       {
-         Float_t PhotonEta = GetPhotonEta();
-         Float_t PhotonWeight = GetPhotonWeight();
-         WeightThetaCerenkov += PhotonEta*PhotonWeight;
-         wei += PhotonWeight;
-       }
-    }
-
-  if(wei != 0.) 
-    {
-      WeightThetaCerenkov /= wei;
-    }
-  else
-    {
-      WeightThetaCerenkov = 0.;
-    }
+// Finds an intersection point between a line and XY plane shifted along Z.
+// Arguments:  dir,pos   - vector along the line and any point of the line
+//             z         - z coordinate of plain 
+//   Returns:  none
+//   On exit:  pos is the position if this intesection if any
+  static TVector3 nrm(0,0,1); 
+         TVector3 pnt(0,0,z);
   
-  SetThetaCerenkov(WeightThetaCerenkov);
-
-  cout << " thetac weighted -> " << WeightThetaCerenkov << endl;
-}
-
-
-void AliRICHRecon::FlagPhotons()
+  TVector3 diff=pnt-pos;
+  Double_t sint=(nrm*diff)/(nrm*dir);
+  pos+=sint*dir;
+}//Propagate()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+void AliRICHRecon::Refract(TVector3 &dir,Double_t n1,Double_t n2)const
 {
-
-  Int_t NPhotonHough = 0;
-
-  Float_t ThetaCerenkov = GetThetaCerenkov();
-  if(fDebug) cout << " fThetaCerenkov " << ThetaCerenkov << endl;
-
-  Float_t ThetaDist= ThetaCerenkov - fThetaMin;
-  Int_t steps = (Int_t)(ThetaDist / fDTheta);
-
-  Float_t tmin = fThetaMin + (Float_t)(steps - 1)*fDTheta;
-  Float_t tmax = fThetaMin + (Float_t)(steps)*fDTheta;
-  Float_t tavg = 0.5*(tmin+tmax);
-
-  tmin = tavg - 0.5*fWindowWidth;
-  tmax = tavg + 0.5*fWindowWidth;
-
-  if(fDebug) cout << " tmin " << tmin << " tmax " << tmax << endl;
-  if(fDebug) cout << " thetac " << ThetaCerenkov << endl;
-
-  //  Int_t CandidatePhotonsNumber = GetCandidatePhotonsNumber();
-
-  Int_t NPhotons = GetPhotonsNumber();
-
-  //  for(Int_t i=0;i<CandidatePhotonsNumber;i++)
-
-  for(Int_t i=0;i<NPhotons;i++)
-    {
-      SetPhotonIndex(i);
-
-      Float_t PhotonEta = GetPhotonEta();
-
-      if(PhotonEta == -999.) continue;
-
-      if(PhotonEta >= tmin && PhotonEta <= tmax)
-       {
-         SetPhotonFlag(2);
-         NPhotonHough++;
-       }
-    }
-  SetHoughPhotons(NPhotonHough);
-}
-
-void AliRICHRecon::DrawEvent(Int_t flag)
+// Refract direction vector according to Snell law
+// Arguments: 
+//            n1 - ref idx of first substance
+//            n2 - ref idx of second substance
+//   Returns: none
+//   On exit: dir is new direction
+  Double_t sinref=(n1/n2)*TMath::Sin(dir.Theta());
+  if(sinref>1.)    dir.SetXYZ(-999,-999,-999);
+  else             dir.SetTheta(TMath::ASin(sinref));
+}//Refract()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::HoughResponse()
 {
-
-  flag=1; // dummy to be removed...
-/*
-  Float_t xGraph[3000],yGraph[3000];
-
-  Float_t ThetaCerenkov;
-
-  // Display event...
-
-  gStyle->SetPalette(1,0);
-
-  if(flag == 0) 
-    {
-
-      //      Display = new TCanvas("Display","Star Display",0,0,1200,750);      
-      
-      Display->ToggleEventStatus();
-      Display->Modified()
-      
-      text = new TText(0,0,"");
-      text->SetTextFont(61);
-      text->SetTextSize(0.03);
-      text->SetTextAlign(22);                                                       
-      
-      Display->Resize();
-
-      h2_disp->Reset();
-      
-      for(Int_t j=1;j<=nPixels;j++)
-       {
-         Float_t xpad = fPixels_localX[j-1];
-         Float_t ypad = fPixels_localY[j-1];
-         h2_disp->Fill(xpad,ypad,fPixels_charge[j-1]);
-       }
-
-      h2_disp->SetMaximum(200);
-      //      h2_disp->SetMaximum(1);
-      h2_disp->SetStats(0);
-      h2_disp->Draw("colz");
-      
-      for(Int_t i=0; i<nRichPrimaries;i++)
-       
-       {
-         
-         TrackPoints = new TMarker(fRichPrimaries_localPadX[i],
-                                   fRichPrimaries_localPadY[i],3);
-
-         TrackPoints->SetMarkerSize(1.5);
-         
-         Float_t pmod = sqrt(fRichPrimaries_localPadPx[i] * fRichPrimaries_localPadPx[i] +
-                             fRichPrimaries_localPadPy[i] * fRichPrimaries_localPadPy[i] +
-                             fRichPrimaries_localPadPz[i] * fRichPrimaries_localPadPz[i]); 
-         
-         if(pmod < 1) TrackPoints->SetMarkerColor(kBlue);
-         if(pmod > 1 && pmod < 2) TrackPoints->SetMarkerColor(kGreen);
-         if(pmod > 2) TrackPoints->SetMarkerColor(kRed);
-         
-         TrackPoints->Draw();
-
-         line = new TLine(-0.13,-42.,-0.13,42.);
-         line->Draw();
-         line = new TLine(0.13,-42.,0.13,42.);
-         line->Draw();
-         line = new TLine(-64.,-0.13,64.,-0.13);
-         line->Draw();
-         line = new TLine(-64.,0.13,64.,0.13);
-         line->Draw();                        
-
-       }
-      
-      return;
-
-    }
+//
+//
+//       
+  Double_t kThetaMax=0.75;
+  Int_t nChannels = (Int_t)(kThetaMax/fDTheta+0.5);
+  TH1D *phots   = new TH1D("Rphot"  ,"phots"         ,nChannels,0,kThetaMax);
+  TH1D *photsw  = new TH1D("RphotWeighted" ,"photsw" ,nChannels,0,kThetaMax);
+  TH1D *resultw = new TH1D("resultw","resultw"       ,nChannels,0,kThetaMax);
+  Int_t nBin = (Int_t)(kThetaMax/fDTheta);
+  Int_t nCorrBand = (Int_t)(fWindowWidth/(2*fDTheta));
   
-  //
-
-  // Draw rings...
-
-  //
-
-  //  Float_t Xtoentr = GetEntranceX();
-  //  Float_t Ytoentr = GetEntranceY();
-
-  //  Float_t pmod = GetTrackMomentum();
-  //  Float_t TrackTheta = GetTrackTheta();
-  //  Float_t TrackPhi = GetTrackPhi();
-
-  SetPhotonEnergy(6.85);
-  SetFreonRefractiveIndex();
-
-  SetEmissionPoint(RadiatorWidth/2.);
-
-  ThetaCerenkov = GetThetaCerenkov();
-
-  if (ThetaCerenkov == 999.) return;
-
-  Int_t nPointsToDraw = 0;
-
-  for(Int_t i=0;i<99;i++)
-    {
-      Float_t phpad = 2*TMath::Pi()*i/99;
-      SetThetaPhotonInTRS(ThetaCerenkov);
-      SetPhiPhotonInTRS(phpad);
-      FindPhotonAnglesInDRS();
-      Float_t Radius = FromEmissionToCathode();
-      
-      if (Radius == 999.) continue;
-      
-      Float_t ShiftX = GetShiftX();
-      Float_t ShiftY = GetShiftY();
-      
-      Float_t XPointRing = GetXPointOnCathode() + ShiftX;
-      Float_t YPointRing = GetYPointOnCathode() + ShiftY;
-      
-      SetDetectorWhereX(XPointRing);
-      SetDetectorWhereY(YPointRing);
-      
-      Int_t Zone = CheckDetectorAcceptance();
-      
-      if (Zone != 0) 
-       {
-         FindIntersectionWithDetector();
-         xGraph[nPointsToDraw] = GetIntersectionX();
-         yGraph[nPointsToDraw] = GetIntersectionY();
-         nPointsToDraw++;
-       }
-      else
-       {
-         xGraph[nPointsToDraw] = GetXPointOnCathode() + GetShiftX();
-         yGraph[nPointsToDraw] = GetYPointOnCathode() + GetShiftY();
-         nPointsToDraw++;
-       }
-    }
+  for (Int_t i=0; i< fPhotCnt; i++){//photon cadidates loop
+    Double_t angle = fPhotCkov[i];  if(angle<0||angle>kThetaMax) continue;
+    phots->Fill(angle);
+    Int_t bin = (Int_t)(0.5+angle/(fDTheta));
+    Double_t weight=1.;
+    if(fIsWEIGHT){
+      Double_t lowerlimit = ((Double_t)bin)*fDTheta - 0.5*fDTheta;  Double_t upperlimit = ((Double_t)bin)*fDTheta + 0.5*fDTheta;   
+      Double_t diffArea = FindRingArea(upperlimit)-FindRingArea(lowerlimit);
+      if(diffArea>0) weight = 1./diffArea;
+    }
+    photsw->Fill(angle,weight);
+    fPhotWei[i]=weight;
+  }//photon candidates loop 
+   
+  for (Int_t i=1; i<=nBin;i++){
+    Int_t bin1= i-nCorrBand;
+    Int_t bin2= i+nCorrBand;
+    if(bin1<1) bin1=1;
+    if(bin2>nBin)bin2=nBin;
+    Double_t sumPhots=phots->Integral(bin1,bin2);
+    if(sumPhots<3) continue;                            // if less then 3 photons don't trust to this ring
+    Double_t sumPhotsw=photsw->Integral(bin1,bin2);
+    resultw->Fill((Double_t)((i+0.5)*fDTheta),sumPhotsw);
+  } 
+// evaluate the "BEST" theta ckov as the maximum value of histogramm
+  Double_t *pVec = resultw->GetArray();
+  Int_t locMax = TMath::LocMax(nBin,pVec);
+  phots->Delete();photsw->Delete();resultw->Delete(); // Reset and delete objects
   
-  xGraph[nPointsToDraw] = xGraph[0];  
-  yGraph[nPointsToDraw] = yGraph[0];  
-
-  poll = new TPolyLine(nPointsToDraw+1,xGraph,yGraph);
-  poll->SetLineColor(2);
-  poll->SetLineWidth(3);
-
-  Display->Update();
-
-  //  waiting();
-  poll->Draw();
-
-  for(Int_t j=0;j<nHits;j++)
-    {
-      
-      Float_t xhit = fHits_localX[j];
-      Float_t yhit = fHits_localY[j];
-
-      SetPhotonIndex(j);
-      Int_t FlagPhoton = GetPhotonFlag();
-
-//       if(FlagPhoton >= 1) 
-//     {
-
-//       Photon = new TMarker(xhit,yhit,4);
-//       Photon->SetMarkerSize(1.5);
-//       Photon->Draw("same");
-
-//     }
-
-
-      if(FlagPhoton == 2) 
-       {
-         
-         PhotonAcc = new TMarker(xhit,yhit,30);
-         PhotonAcc->SetMarkerSize(1.5);
-         PhotonAcc->SetMarkerColor(50);
-         PhotonAcc->Draw("same");
-         
-       }
-    }  
-
-  Display->Update();
-
-//   waiting();
-//   h1_photons->Draw();
-//   Display->Update();
-
-//   waiting();
-//   h1_photacc->Draw();
-//   Display->Update();
-
-//   waiting();
-
-//   Display->Update();
-
-//   h1_photons->Reset();
-//   h1_photacc->Reset();
-
-*/
-}
-
-Float_t  AliRICHRecon::FindMassOfParticle()
+  return (Double_t)(locMax*fDTheta+0.5*fDTheta); //final most probable track theta ckov   
+}//HoughResponse()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::FindRingCkov(Int_t)
 {
+// Loops on all Ckov candidates and estimates the best Theta Ckov for a ring formed by those candidates. Also estimates an error for that Theat Ckov
+// collecting errors for all single Ckov candidates thetas. (Assuming they are independent)  
+// Arguments: iNclus- total number of clusters in chamber for background estimation
+//    Return: best estimation of track Theta ckov
 
-  Float_t pmod = GetTrackMomentum();
-
-  SetPhotonEnergy(6.85);
-  SetFreonRefractiveIndex();
-
-  Float_t ThetaCerenkov = GetThetaCerenkov();
-  FindBetaFromTheta(ThetaCerenkov);
-
-  Double_t beta = (Double_t)(GetBetaOfParticle());
-  Double_t den = 1. - beta*beta;
-  if(den<=0.) return 999.;
-
-  Double_t gamma = 1./TMath::Sqrt(den);
-
-  Float_t mass = pmod/(beta*(Float_t)gamma);
-
-  return mass;
-}
+  Double_t wei = 0.;
+  Double_t weightThetaCerenkov = 0.;
 
+  Double_t ckovMin=9999.,ckovMax=0.;
+  Double_t sigma2 = 0;   //to collect error squared for this ring
+  
+  for(Int_t i=0;i<fPhotCnt;i++){//candidates loop
+    if(fPhotFlag[i] == 2){
+      if(fPhotCkov[i]<ckovMin) ckovMin=fPhotCkov[i];  //find max and min Theta ckov from all candidates within probable window
+      if(fPhotCkov[i]>ckovMax) ckovMax=fPhotCkov[i]; 
+      weightThetaCerenkov += fPhotCkov[i]*fPhotWei[i];   wei += fPhotWei[i];                 //collect weight as sum of all candidate weghts   
+      
+     //Double_t phiref=(GetPhiPoint()-GetTrackPhi());
+       if(fPhotCkov[i]<=0) continue;//?????????????????Flag photos = 2 may imply CkovEta = 0?????????????? 
+                                     
+      sigma2 += 1./Sigma2(fPhotCkov[i],fPhotPhi[i],fTrkDir.Theta(),fTrkDir.Phi());
+    }
+  }//candidates loop
+  
+  if(sigma2>0) fCkovSigma2=1./sigma2;
+  else         fCkovSigma2=1e10;  
+  
 
-void AliRICHRecon::FillHistograms()
+  if(wei != 0.) weightThetaCerenkov /= wei; else weightThetaCerenkov = 0.;  
+  return weightThetaCerenkov;
+}//FindCkovRing()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Int_t AliRICHRecon::FlagPhot(Double_t ckov)
 {
+// Flag photon candidates if their individual ckov angle is inside the window around ckov angle returned by  HoughResponse()
+// Arguments: ckov- value of most probable ckov angle for track as returned by HoughResponse()
+//   Returns: number of photon candidates happened to be inside the window
 
-  Float_t FittedTrackTheta, FittedTrackPhi;
-
-  Float_t ThetaCerenkov    = GetThetaCerenkov();
-  if(ThetaCerenkov == 999.) return;
-
-  Float_t VertZ = GetEventVertexZ();
-
-  Float_t TrackTheta = GetTrackTheta();
-  Float_t TrackPhi   = GetTrackPhi();
-  Float_t pmod       = GetTrackMomentum();
-  Float_t pt         = GetTrackPt();
-  Float_t TrackEta   = GetTrackEta();
-  Int_t q            = GetTrackCharge();
-  Float_t TPCLastZ   = GetTrackTPCLastZ(); 
-  Float_t MinDist    = GetMinDist(); 
-
-  FittedTrackTheta = GetFittedTrackTheta();
-  FittedTrackPhi   = GetFittedTrackPhi();
-  Int_t FittedNPhotonHough = GetFittedHoughPhotons();
   
-  if(fDebug)
-    {
-      cout << " p " << pmod  << " ThetaC " << ThetaCerenkov 
-          << " rings " << NRings << endl;
-    }
-
-  Int_t NPhotonHough     = GetHoughPhotons();
-  Float_t NPhotonHoughNorm = GetHoughPhotonsNorm();
-  Float_t InRing = GetPortionOfRing();
+  Int_t steps = (Int_t)((ckov )/ fDTheta); //how many times we need to have fDTheta to fill the distance between 0  and thetaCkovHough
 
-  Float_t MassOfParticle = FindMassOfParticle();
+  Double_t tmin = (Double_t)(steps - 1)*fDTheta;
+  Double_t tmax = (Double_t)(steps)*fDTheta;
+  Double_t tavg = 0.5*(tmin+tmax);
 
-  Float_t HoughArea = GetHoughArea();
-  Float_t Multiplicity = GetEventMultiplicity();
+  tmin = tavg - 0.5*fWindowWidth;  tmax = tavg + 0.5*fWindowWidth;
 
-//  cout << " area " << HoughArea << " mult " << Multiplicity << endl;
-
-  Float_t var[20];
-
-//  var[0] = (Float_t)runID; 
-//  var[1] = (Float_t)evID;
-  var[0] = 0; 
-  var[1] = 0;
-  var[2] = VertZ;
-  var[3] = pmod;
-  var[4] = pt;
-  var[5] = TrackEta;
-  var[6] = TrackTheta;
-  var[7] = TrackPhi;
-  var[8] = FittedTrackTheta;
-  var[9] = FittedTrackPhi;
-  var[10] = q;
-  var[11] = ThetaCerenkov;
-  var[12] = (Float_t)NPhotonHough;
-  var[13] = (Float_t)FittedNPhotonHough;
-  var[14] = InRing;
-  var[15] = MassOfParticle;
-  var[16] = HoughArea;
-  var[17] = Multiplicity;
-  var[18] = TPCLastZ;
-  var[19] = MinDist;
-
-  hn->Fill(var);
-
-  h1_mass->Fill(MassOfParticle);
-  h2_mvsp->Fill(pmod,MassOfParticle);
-  h2_mvst->Fill(ThetaCerenkov,MassOfParticle);
-
-  FittedTrackTheta = GetFittedTrackTheta();
-  FittedTrackPhi = GetFittedTrackPhi();
-
-  Float_t DiffTheta = FittedTrackTheta - TrackTheta;
-  Float_t DiffPhi = FittedTrackPhi - TrackPhi;
-
-  h1_diffTrackTheta -> Fill(DiffTheta);
-  h1_diffTrackPhi -> Fill(DiffPhi);
-
-  if(ThetaCerenkov > 0.505 && ThetaCerenkov < 0.605) 
-    {
-      SetPhotonEnergy(6.85);
-      SetFreonRefractiveIndex();
-
-      Float_t pmom = GetTrackMomentum();
-      Float_t beta = 1./(cos(ThetaCerenkov)*GetFreonRefractiveIndex());
-      Float_t gamma = 1./sqrt(1.-beta*beta);
-
-      Float_t pmomnew = 0.93828*beta*gamma;
-      Float_t deltap = pmomnew - pmom;
-      h1_deltap->Fill(deltap);
-      Float_t deltapop = deltap/pmom;
-      h1_deltapop->Fill(deltapop);
-
-      h1_nprotons->Fill((Float_t)NPhotonHoughNorm);
-    }
-
-  if(q > 0)
-    {
-      h2_tvsppos->Fill(pmod,ThetaCerenkov);
-      hp_1pos->Fill(ThetaCerenkov,(Float_t)NPhotonHough);
-      hp_1posnorm->Fill(ThetaCerenkov,(Float_t)NPhotonHoughNorm);
-      h2_1pos->Fill(pmod,(Float_t)NPhotonHough);
-      h2_1posnorm->Fill(pmod,(Float_t)NPhotonHoughNorm);
-      h1_houghpos->Fill(ThetaCerenkov);
+  Int_t iInsideCnt = 0; //count photons which Theta ckov inside the window
+  for(Int_t i=0;i<fPhotCnt;i++){//photon candidates loop
+    if(fPhotCkov[i] >= tmin && fPhotCkov[i] <= tmax)   { 
+      fPhotFlag[i]=2;    
+      iInsideCnt++;
     }
-else
-  {
-      h2_tvspneg->Fill(pmod,ThetaCerenkov);
-      hp_1neg->Fill(ThetaCerenkov,(Float_t)NPhotonHough);
-      hp_1negnorm->Fill(ThetaCerenkov,(Float_t)NPhotonHoughNorm);
-      h2_1neg->Fill(pmod,(Float_t)NPhotonHough);
-      h2_1negnorm->Fill(pmod,(Float_t)NPhotonHoughNorm);
-      h1_houghneg->Fill(ThetaCerenkov);
   }
-
-  Int_t NPhotons = GetPhotonsNumber();
-
-  for (Int_t j=0; j < NPhotons;j++)
-
-    {
-      SetPhotonIndex(j);
-
-      Float_t eta = GetPhotonEta();
-
-      if(GetPhotonFlag() == 2) 
-       {
-         h1_photacc->Fill(eta);
-         Float_t photaccspread = eta - ThetaCerenkov;
-         h1_photaccspread->Fill(photaccspread);
-       }
-
-    }
-}
-
-void AliRICHRecon::Minimization()
+  return iInsideCnt;
+}//FlagPhotons()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::Sigma2(Double_t ckovTh, Double_t ckovPh, Double_t trkTh, Double_t trkPh)const
 {
-
-  Double_t arglist;
-  Int_t ierflag = 0;
-
-  static Double_t vstart[2];
-  static Double_t lower[2], upper[2];
-  static Double_t step[2]={0.001,0.001};
-
-  Double_t TrackThetaNew,TrackPhiNew;
-  TString chname;
-  Double_t eps, b1, b2;
-  Int_t ierflg;
-
-  gMyMinuit = new TMinuit(2);
-  gMyMinuit->SetObjectFit((TObject *)this);
-  gMyMinuit->SetFCN(fcnrecon);
-  gMyMinuit->mninit(5,10,7);
-
-  vstart[0] = (Double_t)GetTrackTheta();
-  vstart[1] = (Double_t)GetTrackPhi();
-
-  lower[0] = vstart[0] - 0.03;
-  if(lower[0] < 0) lower[0] = 0.;
-  upper[0] = vstart[0] + 0.03;
-  lower[1] = vstart[1] - 0.03;
-  upper[1] = vstart[1] + 0.03;
-
-
-  gMyMinuit->mnparm(0,"theta",vstart[0],step[0],lower[0],upper[0],ierflag);
-  gMyMinuit->mnparm(1," phi ",vstart[1],step[1],lower[1],upper[1],ierflag);
-
-  arglist = -1;
-
-  //  gMyMinuit->FixParameter(0);
-
-  gMyMinuit->SetPrintLevel(-1);
-//  gMyMinuit->mnexcm("SET PRI",&arglist, 1, ierflag);
-  gMyMinuit->mnexcm("SET NOGR",&arglist, 1, ierflag);
-  gMyMinuit->mnexcm("SET NOW",&arglist, 1, ierflag);
-  arglist = 1;
-  gMyMinuit->mnexcm("SET ERR", &arglist, 1,ierflg);
-  arglist = -1;
-
-  //  gMyMinuit->mnscan();
-
-//  gMyMinuit->mnexcm("SIMPLEX",&arglist, 0, ierflag);
-  gMyMinuit->mnexcm("MIGRAD",&arglist, 0, ierflag);
-  gMyMinuit->mnexcm("EXIT" ,&arglist, 0, ierflag);
+// Analithical calculation of total error (as a sum of localization, geometrical and chromatic errors) on Cerenkov angle for a given Cerenkov photon 
+// created by a given MIP. Fromulae according to CERN-EP-2000-058 
+// Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
+//            dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]        
+//            MIP beta
+//   Returns: absolute error on Cerenkov angle, [radians]    
   
-  gMyMinuit->mnpout(0,chname, TrackThetaNew, eps , b1, b2, ierflg);
-  gMyMinuit->mnpout(1,chname, TrackPhiNew, eps , b1, b2, ierflg);
-
-  //values after the fit...
-  SetFittedTrackTheta((Float_t)TrackThetaNew);
-  SetFittedTrackPhi((Float_t)TrackPhiNew);
+  TVector3 v(-999,-999,-999);
+  Double_t trkBeta = 1./(TMath::Cos(ckovTh)*fkRadIdx);
 
-  delete gMyMinuit;
+  v.SetX(SigLoc (ckovTh,ckovPh,trkTh,trkPh,trkBeta));
+  v.SetY(SigGeom(ckovTh,ckovPh,trkTh,trkPh,trkBeta));
+  v.SetZ(SigCrom(ckovTh,ckovPh,trkTh,trkPh,trkBeta));
 
+  return v.Mag2();
 }
-
-void AliRICHRecon::EstimationOfTheta()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::SigLoc(Double_t thetaC, Double_t phiC, Double_t thetaM, Double_t phiM, Double_t betaM)const
 {
-
-  Int_t NPhotons = 0;
-
-  Float_t ShiftX = GetShiftX();
-  Float_t ShiftY = GetShiftY();
-
-  Float_t *CandidatePhotonX = GetCandidatePhotonX();
-  Float_t *CandidatePhotonY = GetCandidatePhotonY();
-
-  Int_t NPhotonsCandidates = GetCandidatePhotonsNumber();
-
-  //  cout << "MINIM: Nphotons " << NPhotonsCandidates << endl;
-
-  for (Int_t j=0; j < NPhotonsCandidates; j++)
-    {
-
-      SetPhotonIndex(j);
-
-      if(!GetPhotonFlag()) continue;
-
-      Float_t Xtoentr = CandidatePhotonX[j] - ShiftX;
-      Float_t Ytoentr = CandidatePhotonY[j] - ShiftY;
-
-      SetEntranceX(Xtoentr);
-      SetEntranceY(Ytoentr);
-
-      FindPhiPoint();
-
-      FindThetaPhotonCerenkov();
-
-      Float_t ThetaPhotonCerenkov = GetThetaPhotonCerenkov();
-
-      //      cout << " ACCEPTED!!! " << ThetaPhotonCerenkov << endl;
-
-      SetPhotonEta(ThetaPhotonCerenkov);
-
-      NPhotons++;
-
-    }
-
-  Float_t xmean = 0.;
-  Float_t x2mean = 0.;
-  Int_t nev = 0;
-
-  for (Int_t j=0; j < NPhotonsCandidates;j++)
-    {
-      SetPhotonIndex(j);
-
-      Float_t eta = GetPhotonEta();
-
-      if(eta != -999.) 
-       {
-         if(GetPhotonFlag() == 2) 
-           {
-             xmean += eta;
-             x2mean += eta*eta;
-             nev++;
-           }
-       }
-    }
-
-  if(nev > 0)
-    {
-      xmean /=(Float_t)nev;
-      x2mean /=(Float_t)nev;
-    } else {
-      xmean = 0.;
-      x2mean = 0.;
-    }
-
-  Float_t RMS = sqrt(x2mean - xmean*xmean);
-
-  //  cout << " RMS " << RMS;
-
-  SetEstimationOfTheta(xmean);
-  SetEstimationOfThetaRMS(RMS);
+// Analithical calculation of localization error (due to finite segmentation of PC) on Cerenkov angle for a given Cerenkov photon 
+// created by a given MIP. Fromulae according to CERN-EP-2000-058 
+// Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
+//            dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]        
+//            MIP beta
+//   Returns: absolute error on Cerenkov angle, [radians]    
+  Double_t phiDelta = phiC - phiM;
+
+  Double_t alpha =TMath::Cos(thetaM)-TMath::Tan(thetaC)*TMath::Cos(phiDelta)*TMath::Sin(thetaM);
+  Double_t k = 1.-fkRadIdx*fkRadIdx+alpha*alpha/(betaM*betaM);
+  if (k<0) return 1e10;
+
+  Double_t mu =TMath::Sin(thetaM)*TMath::Sin(phiM)+TMath::Tan(thetaC)*(TMath::Cos(thetaM)*TMath::Cos(phiDelta)*TMath::Sin(phiM)+TMath::Sin(phiDelta)*TMath::Cos(phiM));
+  Double_t e  =TMath::Sin(thetaM)*TMath::Cos(phiM)+TMath::Tan(thetaC)*(TMath::Cos(thetaM)*TMath::Cos(phiDelta)*TMath::Cos(phiM)-TMath::Sin(phiDelta)*TMath::Sin(phiM));
+
+  Double_t kk = betaM*TMath::Sqrt(k)/(8*alpha);
+  Double_t dtdxc = kk*(k*(TMath::Cos(phiDelta)*TMath::Cos(phiM)-TMath::Cos(thetaM)*TMath::Sin(phiDelta)*TMath::Sin(phiM))-(alpha*mu/(betaM*betaM))*TMath::Sin(thetaM)*TMath::Sin(phiDelta));
+  Double_t dtdyc = kk*(k*(TMath::Cos(phiDelta)*TMath::Sin(phiM)+TMath::Cos(thetaM)*TMath::Sin(phiDelta)*TMath::Cos(phiM))+(alpha* e/(betaM*betaM))*TMath::Sin(thetaM)*TMath::Sin(phiDelta));
+
+  return  TMath::Sqrt(0.2*0.2*dtdxc*dtdxc + 0.25*0.25*dtdyc*dtdyc);
 }
-
-void fcnrecon(Int_t& /*npar*/, Double_t* /*gin*/, Double_t &f, Double_t *par, Int_t iflag)
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::SigCrom(Double_t thetaC, Double_t phiC, Double_t thetaM, Double_t phiM, Double_t betaM)const
 {
-  AliRICHRecon *gMyRecon = (AliRICHRecon*)gMyMinuit->GetObjectFit();
-
-  Float_t p0 = (Float_t)par[0];
-  Float_t p1 = (Float_t)par[1];
-
-  gMyRecon->SetTrackTheta(p0);
-  gMyRecon->SetTrackPhi(p1);
-
-  gMyRecon->EstimationOfTheta();
-  Float_t RMS = gMyRecon->GetEstimationOfThetaRMS();
-
-  Int_t HoughPhotons = gMyRecon->GetHoughPhotons();
-
-
-  f = (Double_t)(1000*RMS/(Float_t)HoughPhotons);
+// Analithical calculation of chromatic error (due to lack of knowledge of Cerenkov photon energy) on Cerenkov angle for a given Cerenkov photon 
+// created by a given MIP. Fromulae according to CERN-EP-2000-058 
+// Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
+//            dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]        
+//            MIP beta
+//   Returns: absolute error on Cerenkov angle, [radians]    
+  Double_t phiDelta = phiC - phiM;
+  Double_t alpha =TMath::Cos(thetaM)-TMath::Tan(thetaC)*TMath::Cos(phiDelta)*TMath::Sin(thetaM);
+
+  Double_t dtdn = TMath::Cos(thetaM)*fkRadIdx*betaM*betaM/(alpha*TMath::Tan(thetaC));
+            
+  Double_t f = 0.00928*(7.75-5.635)/TMath::Sqrt(12.);
+
+  return f*dtdn;
+}//SigCrom()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+Double_t AliRICHRecon::SigGeom(Double_t thetaC, Double_t phiC, Double_t thetaM, Double_t phiM, Double_t betaM)const
+{
+// Analithical calculation of geometric error (due to lack of knowledge of creation point in radiator) on Cerenkov angle for a given Cerenkov photon 
+// created by a given MIP. Formulae according to CERN-EP-2000-058 
+// Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
+//            dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]        
+//            MIP beta
+//   Returns: absolute error on Cerenkov angle, [radians]    
 
-  if(fDebug) cout << "   f   " << f
-                 << " theta " << par[0] << " phi " << par[1] 
-                  << " HoughPhotons " << HoughPhotons << endl;
-  
-  if(fDebug&&iflag == 3)
-    {
-            cout << " --- end convergence...summary --- " << endl;
-            cout << " theta " << par[0] << endl;
-            cout << "  phi  " << par[1] << endl;
-    }
-}
+  Double_t phiDelta = phiC - phiM;
+  Double_t alpha =TMath::Cos(thetaM)-TMath::Tan(thetaC)*TMath::Cos(phiDelta)*TMath::Sin(thetaM);
 
-void AliRICHRecon::waiting()
-{
-  if(!kDISPLAY) return;
-  cout << " Press any key to continue...";
+  Double_t k = 1.-fkRadIdx*fkRadIdx+alpha*alpha/(betaM*betaM);
+  if (k<0) return 1e10;
 
-//  gSystem->ProcessEvents();
-  getchar(); 
+  Double_t eTr = 0.5*1.5*betaM*TMath::Sqrt(k)/(8*alpha);
+  Double_t lambda = 1.-TMath::Sin(thetaM)*TMath::Sin(thetaM)*TMath::Sin(phiC)*TMath::Sin(phiC);
 
-  cout << endl;
+  Double_t c = 1./(1.+ eTr*k/(alpha*alpha*TMath::Cos(thetaC)*TMath::Cos(thetaC)));
+  Double_t i = betaM*TMath::Tan(thetaC)*lambda*TMath::Power(k,1.5);
+  Double_t ii = 1.+eTr*betaM*i;
 
-  return;
-}
+  Double_t err = c * (i/(alpha*alpha*8) +  ii*(1.-lambda) / ( alpha*alpha*8*betaM*(1.+eTr)) );
+  Double_t trErr = 1.5/(TMath::Sqrt(12.)*TMath::Cos(thetaM));
 
-/*
-void ~AliRICHRecon()
-{
-}
-*/
+  return trErr*err;
+}//SigGeom()
+//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++