HMPID/AliHMPIDReconHTA.cxx

   1 /**************************************************************************
   2  * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
   3  *                                                                        *
   4  * Author: The ALICE Off-line Project.                                    *
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  13  * provided "as is" without express or implied warranty.                  *
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  15
  16 //////////////////////////////////////////////////////////////////////////
  17 //                                                                      //
  18 // AliHMPIDReconHTA                                                         //
  19 //                                                                      //
  20 // HMPID class to perfom pattern recognition based on Hough transfrom    //
  21 // for single chamber                                                   //
  22 //////////////////////////////////////////////////////////////////////////
  23
  24 #include "AliHMPIDReconHTA.h"//class header
  25 #include "AliHMPIDCluster.h" //CkovHiddenTrk()
  26 #include "AliHMPIDRecon.h"   //FunMinPhot()
  27 #include <TFile.h>           //Database()
  28 #include <TMinuit.h>         //FitFree()
  29 #include <TClonesArray.h>    //CkovHiddenTrk()
  30 #include <AliESDtrack.h>     //CkovHiddenTrk()
  31 #include <TH2F.h>            //InitDatabase()
  32 #include <TGraph.h>          //ShapeModel()
  33 #include <TSpline.h>         //ShapeModel()
  34 #include <TCanvas.h>         //ShapeModel()
  35 #include "TStopwatch.h"      //
  36
  37 Int_t AliHMPIDReconHTA::fgDB[500][150]={{75000*0}};
  38 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  39 AliHMPIDReconHTA::AliHMPIDReconHTA():
  40   TTask("RichRec","RichPat"),
  41   fMipX(-999),
  42   fMipY(-999),
  43   fMipQ(-999),
  44   fRadX(-999),
  45   fRadY(-999),
  46   fIdxMip(0),
  47   fNClu(0),
  48   fXClu(0),
  49   fYClu(0),
  50   fPhiPhot(0),
  51   fThetaPhot(0),
  52   fClCk(0),
  53   fThTrkIn(-999),
  54   fPhTrkIn(-999),
  55   fThTrkFit(-999),
  56   fPhTrkFit(-999),
  57   fCkovFit(-999),
  58   fNCluFit(0),
  59   fCkovSig2(0),
  60   fFitStatus(0),
  61   fParam(AliHMPIDParam::Instance())
  62 {
  63 //..
  64 //hidden algorithm
  65 //..
  66   fParam->SetRefIdx(fParam->MeanIdxRad()); // initialization of ref index to a default one
  67   InitDatabase();
  68 }
  69 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  70 AliHMPIDReconHTA::~AliHMPIDReconHTA()
  71 {
  72   DeleteVars();
  73 }
  74 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  75 void AliHMPIDReconHTA::InitVars(Int_t n)
  76 {
  77 //..
  78 //Init some variables
  79 //..
  80   fXClu = new Double_t[n];
  81   fYClu = new Double_t[n];
  82   fPhiPhot = new Double_t[n];
  83   fThetaPhot = new Double_t[n];
  84   fClCk = new Bool_t[n];
  85   for(Int_t i=0;i<n;i++) fClCk[i] = kTRUE;
  86 //
  87 }
  88 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  89 void AliHMPIDReconHTA::DeleteVars()const
  90 {
  91 //..
  92 //Delete variables
  93 //..
  94   if(fXClu) delete fXClu;
  95   if(fYClu) delete fYClu;
  96   if(fPhiPhot) delete fPhiPhot;
  97   if(fThetaPhot) delete fThetaPhot;
  98   if(fClCk) delete fClCk;
  99 }
 100 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 101 Bool_t AliHMPIDReconHTA::CkovHiddenTrk(AliESDtrack *pTrk,TClonesArray *pCluLst,Int_t index, Double_t nmean)
 102 {
 103 // Pattern recognition method without any infos from tracking:HTA (Hidden Track Algorithm)...
 104 // The method finds in the chmuber the cluster with the highest charge
 105 // compatibile with a MIP, then the strategy is applied
 106 // Arguments:  pTrk     - pointer to ESD track
 107 //             pCluLs   - list of clusters for a given chamber
 108 //             pNmean   - pointer to ref. index
 109 //             pQthre   - pointer to qthre
 110 //   Returns:           - 0=ok,1=not fitted
 111
 112   AliHMPIDParam *pParam = AliHMPIDParam::Instance();
 113
 114   if(!CluPreFilter(pCluLst)) return kFALSE;
 115
 116   Int_t nCh=0;
 117   Int_t sizeClu=0;
 118
 119   fNClu = pCluLst->GetEntriesFast();
 120
 121   for (Int_t iClu=0;iClu<fNClu;iClu++){                                                       //clusters loop
 122     AliHMPIDCluster *pClu=(AliHMPIDCluster*)pCluLst->UncheckedAt(iClu);                       //get pointer to current cluster
 123     fXClu[iClu] = pClu->X();fYClu[iClu] = pClu->Y();                                          //store x,y for fitting procedure
 124     fClCk[iClu] = kTRUE;                                                                      //all cluster are accepted at this stage to be reconstructed
 125
 126     if(iClu == index) {
 127
 128       fMipX = pClu->X();
 129       fMipY = pClu->Y();
 130       fMipQ = pClu->Q();
 131       sizeClu = pClu->Size();
 132       nCh = pClu->Ch();
 133       fClCk[index] = kFALSE;
 134       fIdxMip = index;
 135       AliDebug(1,Form(" MIP n. %i x %f y %f Q %f",iClu,pClu->X(),pClu->Y(),pClu->Q()));
 136     }
 137   }//clusters loop
 138
 139   pParam->SetRefIdx(nmean);
 140
 141   //
 142   Float_t xra,yra,th,ph; pTrk->GetHMPIDtrk(xra,yra,th,ph);
 143   AliDebug(1,Form(" simulated phiTRK %6.2f thetaTRK %6.2f",ph*TMath::RadToDeg(),th*TMath::RadToDeg()));
 144   //
 145
 146   if(!DoRecHiddenTrk()) {
 147     pTrk->SetHMPIDsignal(pParam->kNoPhotAccept);
 148     return kFALSE;
 149   }                                                                           //Do track and ring reconstruction,if problems returns 1
 150   AliDebug(1,Form("    fitted phi %6.2f ",fPhTrkFit*TMath::RadToDeg()));
 151
 152   pTrk->SetHMPIDtrk(fRadX,fRadY,fThTrkFit,fPhTrkFit);                                        //store track intersection info
 153   pTrk->SetHMPIDmip(fMipX,fMipY,(Int_t)fMipQ,NCluFit());                                     //store mip info + n. phots of the ring
 154   pTrk->SetHMPIDcluIdx(nCh,fIdxMip+1000*sizeClu);                                            //set cham number, index of cluster + cluster size
 155   pTrk->SetHMPIDsignal(fCkovFit);                                                            //find best Theta ckov for ring i.e. track
 156   pTrk->SetHMPIDchi2(fCkovSig2);                                                             //errors squared
 157   AliDebug(1,Form(" n clusters tot %i fitted to ring %i",fNClu,NCluFit()));
 158   for(Int_t i=0;i<fNClu;i++) {
 159     AliDebug(1,Form(" n.%3i  ThetaCer %8.3f PhiCer %8.3f check %i",i,fThetaPhot[i],fPhiPhot[i],fClCk[i]));
 160   }
 161   AliDebug(1,Form("CkovHiddenTrk: thetaC %f th %f ph %f",fCkovFit,fThTrkFit*TMath::RadToDeg(),fPhTrkFit*TMath::RadToDeg()));
 162
 163   return kTRUE;
 164
 165 }//CkovHiddenTrk()
 166 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 167 Bool_t AliHMPIDReconHTA::DoRecHiddenTrk()
 168 {
 169 // Pattern recognition method without any infos from tracking...
 170 // First a preclustering filter to avoid part of the noise
 171 // Then only ellipsed-rings are fitted (no possibility,
 172 // for the moment, to reconstruct very inclined tracks)
 173 // Finally a fitting with (th,ph) free, starting by very close values
 174 // previously evaluated.
 175 // Arguments:   none
 176 //   Returns:   none
 177   Double_t thTrkRec,phiTrkRec,thetaCRec;
 178
 179   if(!FindShape(thTrkRec,phiTrkRec,thetaCRec)) {
 180     AliDebug(1,Form(" FindShape failed...!"));
 181     return kFALSE;
 182   }
 183   AliDebug(1,Form(" FindShape accepted...!"));
 184
 185   if(!FitRing(thTrkRec,phiTrkRec)) {
 186     AliDebug(1,Form(" FitRing failed...!"));
 187     return kFALSE;
 188   }
 189   AliDebug(1,Form(" FitRing accepted...!"));
 190
 191   if(!UniformDistrib()) {
 192     AliDebug(1,Form(" UniformDistrib failed...!"));
 193     return kFALSE;
 194   }
 195   AliDebug(1,Form(" UniformDistrib accepted...!"));
 196
 197   return kTRUE;
 198 }//DoRecHiddenTrk()
 199 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 200 Bool_t AliHMPIDReconHTA::CluPreFilter(TClonesArray *pCluLst)
 201 {
 202 // Pre-filter of bkg clusters
 203 // Arguments:    pSluLst  -  List of the clusters for a given chamber
 204 //   Returns:    status   -  TRUE if filtering leaves enough photons, FALSE if not
 205 //
 206   Int_t nClusTot = pCluLst->GetEntriesFast();
 207   if(nClusTot<4||nClusTot>100) {
 208     return kFALSE;
 209   } else {
 210     InitVars(nClusTot);
 211     return kTRUE;
 212   }
 213 }
 214 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 215 Bool_t AliHMPIDReconHTA::FindShape(Double_t &thTrkRec,Double_t &phiTrkRec,Double_t &thetaCRec)
 216 {
 217 // Finds the estimates for phi and theta of the track and the ThetaCerenkov
 218 // by using a database of the shapes of the rings
 219 // Arguments:   none
 220 //   Returns:   thTrkRec  - estimate of theta track
 221 //              phiTrkRec - estimate of phi   track
 222 //              thetaCRec - estimate of ThetaCerenkov
 223 //              status    - TRUE if a good solution is found, FALSE if not
 224
 225   Double_t *phiphot = new Double_t[fNClu];
 226   Double_t *dist    = new Double_t[fNClu];
 227   Int_t    *indphi  = new    Int_t[fNClu];
 228
 229   Bool_t status;
 230
 231 // Sort in phi angle...
 232   for(Int_t i=0;i<fNClu;i++) {
 233     if(!fClCk[i]) {
 234       AliDebug(1,Form(" n.%3i  xMIP    %8.3f yMIP %8.3f check %i",i,fMipX,fMipY,fClCk[i]));
 235       phiphot[i] = 999.;
 236       dist[i]    = 999.;
 237       continue;
 238     }
 239     phiphot[i] = (TMath::ATan2(fMipY-fYClu[i],fMipX-fXClu[i])+TMath::Pi())*TMath::RadToDeg();
 240     dist[i]=TMath::Sqrt((fMipX-fXClu[i])*(fMipX-fXClu[i])+(fMipY-fYClu[i])*(fMipY-fYClu[i]));
 241     AliDebug(1,Form(" n.%3i  phiphot %8.3f dist %8.3f check %i",i,phiphot[i],dist[i],fClCk[i]));
 242   }
 243
 244   TMath::Sort(fNClu,phiphot,indphi,kFALSE);
 245
 246 // Purify with a truncated mean;
 247   Int_t np=0;
 248   Double_t dMean  = 0;
 249   Double_t dMean2 = 0;
 250   for(Int_t i=0;i<fNClu;i++) {
 251     if(!fClCk[indphi[i]]) continue;                                                  // Check if a good photon candidate or not
 252     dMean +=dist[indphi[i]];
 253     dMean2+=dist[indphi[i]]*dist[indphi[i]];
 254     np++;
 255   }
 256
 257   dMean  /=(Double_t)np;
 258   dMean2 /=(Double_t)np;
 259   Double_t rms = TMath::Sqrt(dMean2 - dMean*dMean);
 260
 261   for(Int_t i=0;i<fNClu;i++) {
 262     if(!fClCk[indphi[i]]) continue;                                                  // Check if a good photon candidate or not
 263     if(TMath::Abs(dMean-dist[indphi[i]]) > 1.5*rms) {
 264       fClCk[indphi[i]] = kFALSE;
 265       continue;
 266     }
 267   }
 268
 269   AliDebug(1,"Purification of photons...");
 270 //
 271 //  purify vectors for good photon candidates
 272 //
 273   Int_t npeff=0;
 274   Double_t *phiphotP = new Double_t[fNClu+1];
 275   Double_t *distP    = new Double_t[fNClu+1];
 276   for(Int_t i=0;i<fNClu;i++) {
 277     AliDebug(1,Form(" n. %3i phiphot %8.3f dist %8.3f check %i",i,phiphot[indphi[i]],dist[indphi[i]],fClCk[indphi[i]]));
 278     if(!fClCk[indphi[i]]) continue;                                                  // Check if a good photon candidate or not
 279     phiphotP[npeff] = phiphot[indphi[i]];
 280     distP[npeff]    = dist[indphi[i]];
 281     npeff++;
 282   }
 283
 284   delete [] phiphot;
 285   delete [] dist;
 286   delete [] indphi;
 287
 288   if(npeff<3) {
 289     AliDebug(1,Form("FindShape failed: no enough photons = %i...",npeff));
 290     delete [] phiphotP;
 291     delete [] distP;
 292     return kFALSE;
 293   }
 294
 295   Double_t xA,xB;
 296   status = kFALSE;
 297
 298   if(!ShapeModel(npeff,phiphotP,distP,xA,xB,phiTrkRec)) {AliDebug(1,Form("ShapeModel failed            ")); return kFALSE;}
 299
 300 //  if(xA > 50 || xB > 15)                                {AliDebug(1,Form("xA and xB failed out of range")); return kFALSE;}
 301
 302   Int_t binxDB,binyDB;
 303   Int_t compactDB=-1;
 304
 305   if(xA > xB)  {                                        //geometrically not possible, try to recover on a mean values...
 306
 307     FindBinDB(xA,xA,binxDB,binyDB);
 308     if(binxDB<0 || binyDB<0)                              {AliDebug(1,Form("bin < 0 ! failed             ")); return kFALSE;}
 309     Int_t compactDB1 = CompactDB(binxDB,binyDB);
 310     FindBinDB(xB,xB,binxDB,binyDB);
 311     if(binxDB<0 || binyDB<0)                              {AliDebug(1,Form("bin < 0 ! failed             ")); return kFALSE;}
 312     Int_t compactDB2 = CompactDB(binxDB,binyDB);
 313     Double_t thetaCRec1 =  (Double_t)(compactDB1%1000);
 314     Double_t thetaCRec2 =  (Double_t)(compactDB2%1000);
 315     Double_t thTrkRec1  =  (Double_t)(compactDB1/1000);
 316     Double_t thTrkRec2  =  (Double_t)(compactDB2/1000);
 317     thetaCRec = 0.5*(thetaCRec1+thetaCRec2);
 318     thTrkRec  = 0.5*( thTrkRec1+ thTrkRec2);
 319
 320   } else {
 321
 322     FindBinDB(xA,xB,binxDB,binyDB);
 323     if(binxDB<0 || binyDB<0) {AliDebug(1,Form("bin < 0 ! failed             ")); return kFALSE;}
 324
 325     compactDB = CompactDB(binxDB,binyDB);
 326
 327     if(compactDB<0)                                       {AliDebug(1,Form("compact< 0! failed           ")); return kFALSE;}
 328     //
 329     //
 330     thetaCRec =  (Double_t)(compactDB%1000);
 331     thTrkRec  =  (Double_t)(compactDB/1000);
 332
 333   }
 334
 335   AliDebug(1,Form(" CompactDB %i thTrkRec %8.3f thetaCRec %8.3f ",compactDB,thTrkRec,thetaCRec));
 336
 337   phiTrkRec *= TMath::DegToRad();
 338   thTrkRec  *= TMath::DegToRad();
 339   thetaCRec *= TMath::DegToRad();
 340
 341   status = kTRUE;
 342
 343   delete [] phiphotP;
 344   delete [] distP;
 345
 346   return status;
 347 }
 348 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 349 Bool_t AliHMPIDReconHTA::ShapeModel(Int_t np,Double_t *phiphot,Double_t *dist,Double_t &xA,Double_t &xB,Double_t &phiStart)
 350 {
 351 // Find a Spline curve to define dist. vs. phi angle
 352 // in order to estimate the phi of the track
 353 // Arguments:   np     - # points corresponding to # photon candidates
 354 //             dist    - distance of each photon from MIP
 355 //             phiphot - phi of the photon in the DRS
 356 //   Returns:  xA      - min. distance from MIP
 357 //             xB      - dist. from mip perpedicular to the major axis
 358 //             phiStart- estimate of the track phi
 359
 360   TGraph *phigr = new TGraph(np,phiphot,dist);
 361   phiStart = FindSimmPhi();
 362
 363   Double_t phiStart1 = phiStart;
 364   if(phiStart1 > 360) phiStart1 -= 360;
 365   Double_t phiStart2 = phiStart+90;
 366   if(phiStart2 > 360) phiStart2 -= 360;
 367   xA = phigr->Eval(phiStart1);
 368   xB = phigr->Eval(phiStart2);
 369   //---
 370   AliDebug(1,Form("phiStart %f phiStart1 %f phiStart2 %f ",phiStart,phiStart1,phiStart2));
 371   AliDebug(1,Form("xA  %f xB  %f",xA,xB));
 372
 373   phiStart += 180;
 374   if(phiStart>360) phiStart-=360;
 375
 376   return kTRUE;
 377 }
 378 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 379 Double_t AliHMPIDReconHTA::VertParab(Double_t x1,Double_t y1,Double_t x2, Double_t y2, Double_t x3, Double_t y3)const
 380 {
 381 // It uses parabola from 3 points to evaluate the x-coord of the parab
 382 // Arguments:    xi,yi - points
 383 //   Returns:    x-coord of the vertex
 384
 385   Double_t a = ((x1-x3)*(y1-y2)-(x1-x2)*(y1-y3))/((x1*x1-x2*x2)*(x1-x3)-(x1*x1-x3*x3)*(x1-x2));
 386   Double_t b = (y1-y2 - a*(x1*x1-x2*x2))/(x1-x2);
 387 //  Double_t c = y1 - a*x1*x1-b*x1;
 388   return -0.5*b/a;
 389 }
 390 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 391 Bool_t AliHMPIDReconHTA::FitRing(Double_t thTrkRec,Double_t phiTrkRec)
 392 {
 393   Double_t th = thTrkRec;
 394   Double_t ph = phiTrkRec;
 395
 396   FitFree(th,ph);
 397   while(FitStatus()) {
 398     th = fThTrkFit;
 399     ph = fPhTrkFit;
 400     FitFree(th,ph);
 401   }
 402   return kTRUE;
 403 }
 404 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 405 Bool_t AliHMPIDReconHTA::FitFree(Double_t thTrkRec,Double_t phiTrkRec)
 406 {
 407 // Fit performed by minimizing RMS/sqrt(n) of the
 408 // photons reconstructed. First phi is fixed and theta
 409 // is fouond, then (th,ph) of the track
 410 // as free parameters
 411 // Arguments:    PhiRec phi of the track
 412 //   Returns:    none
 413
 414   TMinuit *pMinuit = new TMinuit(2);
 415   pMinuit->mncler();
 416   gMinuit->SetObjectFit((TObject*)this);  gMinuit->SetFCN(AliHMPIDReconHTA::FunMinPhot);  //set fit function
 417   Double_t aArg=-1,parStep,parLow,parHigh;     Int_t iErrFlg;                 //tmp vars for TMinuit
 418   Double_t d1,d2,d3;
 419   TString sName;
 420   Double_t th,ph;
 421
 422   pMinuit->mnexcm("SET PRI",&aArg,1,iErrFlg);                                          //suspend all printout from TMinuit
 423   pMinuit->mnexcm("SET NOW",&aArg,0,iErrFlg);
 424
 425   if(thTrkRec==0) thTrkRec = 3.*TMath::DegToRad();    // not to start from the edge...
 426
 427   AliDebug(1,Form(" Minimization STARTED with phiTRK %6.2f thetaTRK %6.2f",phiTrkRec,thTrkRec));
 428
 429   pMinuit->mnparm(0," thTrk  ",thTrkRec ,parStep=0.01,parLow=0,parHigh=TMath::PiOver4(),iErrFlg);
 430   pMinuit->mnparm(1," phiTrk ",phiTrkRec,parStep=0.01,parLow=0,parHigh=TMath::TwoPi(),iErrFlg);
 431
 432   pMinuit->FixParameter(1);
 433   pMinuit->mnexcm("SIMPLEX" ,&aArg,0,iErrFlg);
 434   pMinuit->mnexcm("MIGRAD"  ,&aArg,0,iErrFlg);
 435   pMinuit->Release(1);
 436   pMinuit->mnexcm("MIGRAD"  ,&aArg,0,iErrFlg);
 437
 438   pMinuit->mnpout(0,sName,th,d1,d2,d3,iErrFlg);
 439   pMinuit->mnpout(1,sName,ph,d1,d2,d3,iErrFlg);
 440
 441   Double_t f,par[2];
 442   Double_t *grad=0x0;
 443   par[0] = th;par[1] = ph;
 444   pMinuit->Eval(2,grad,f,par,3);
 445
 446   SetTrkFit(th,ph);
 447   return kTRUE;
 448 }
 449 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 450 void AliHMPIDReconHTA::FunMinPhot(Int_t &/* */,Double_t* /* */,Double_t &f,Double_t *par,Int_t iflag)
 451 {
 452 // Minimization function to find best track and thetaC parameters
 453 // Arguments:    f = function value to minimize
 454 //             par = list of parameter to find
 455 //           iflag = flag status. See Minuit instructions
 456 //   Returns:    none
 457 //
 458 // Note: it is necessary to call an instance of AlihMPIDParam. Not possible to use fParam
 459 // because of the static instantiation of the function in Minuit
 460
 461   AliHMPIDParam *pParam=AliHMPIDParam::Instance();
 462   AliHMPIDReconHTA *pRecHTA=(AliHMPIDReconHTA*)gMinuit->GetObjectFit();
 463   AliHMPIDRecon pRec;
 464   Double_t sizeCh = 0.5*pParam->RadThick()+pParam->WinThick()+pParam->GapThick();
 465   Double_t thTrk = par[0];
 466   Double_t phTrk = par[1];
 467   Double_t xrad = pRecHTA->MipX() - sizeCh*TMath::Tan(thTrk)*TMath::Cos(phTrk);
 468   Double_t yrad = pRecHTA->MipY() - sizeCh*TMath::Tan(thTrk)*TMath::Sin(phTrk);
 469   pRecHTA->SetRadXY(xrad,yrad);
 470   pRec.SetTrack(xrad,yrad,thTrk,phTrk);
 471
 472   Double_t meanCkov =0;
 473   Double_t meanCkov2=0;
 474   Double_t thetaCer,phiCer;
 475   Int_t nClAcc = 0;
 476   Int_t nClTot=pRecHTA->NClu();
 477
 478   for(Int_t i=0;i<nClTot;i++) {
 479
 480     if(pRecHTA->IdxMip() == i) {
 481       pRecHTA->SetPhotAngles(i,999.,999.);
 482       continue;
 483     }
 484
 485     if(!(pRecHTA->ClCk(i))) continue;
 486
 487     Bool_t status = pRec.FindPhotCkov(pRecHTA->XClu(i),pRecHTA->YClu(i),thetaCer,phiCer);
 488     if(!status) {
 489       pRecHTA->SetPhotAngles(i,999.,999.);
 490       continue;
 491     }
 492     pRecHTA->SetPhotAngles(i,thetaCer,phiCer);
 493     meanCkov  += thetaCer;
 494     meanCkov2 += thetaCer*thetaCer;
 495     nClAcc++;
 496   }
 497
 498   if(nClAcc==0) {f=999;return;}
 499   meanCkov  /=(Double_t)nClAcc;
 500   meanCkov2 /=(Double_t)nClAcc;
 501   Double_t rms = TMath::Sqrt(TMath::Abs(meanCkov2 - meanCkov*meanCkov));
 502   f = rms/TMath::Sqrt((Double_t)nClAcc);
 503
 504   if(iflag==3) {
 505     Int_t nClAccStep1 = nClAcc;
 506     nClAcc = 0;
 507     Double_t meanCkov1=0;
 508     Double_t meanCkov3=0;
 509     for(Int_t i=0;i<nClTot;i++) {
 510
 511       if(!(pRecHTA->ClCk(i))) continue;
 512       thetaCer = pRecHTA->PhotTheta(i);
 513       if(TMath::Abs(thetaCer-meanCkov)<2*rms) {
 514         meanCkov1 += thetaCer;
 515         meanCkov3 += thetaCer*thetaCer;
 516         nClAcc++;
 517       } else pRecHTA->SetClCk(i,kFALSE);
 518     }
 519
 520     if(nClAcc<3) {
 521       pRecHTA->SetFitStatus(kFALSE);
 522       pRecHTA->SetCkovFit(meanCkov);
 523       pRecHTA->SetCkovSig2(rms*rms);
 524       pRecHTA->SetNCluFit(nClAccStep1);
 525       return;
 526     }
 527
 528     meanCkov1/=nClAcc;
 529     Double_t rms2 = (meanCkov3 - meanCkov*meanCkov*nClAcc)/nClAcc;
 530
 531     // get a logger instance
 532     // what for??
 533     AliLog::GetRootLogger();
 534
 535     if(nClAcc!=nClAccStep1) pRecHTA->SetFitStatus(kTRUE); else pRecHTA->SetFitStatus(kFALSE);
 536
 537     pRecHTA->SetCkovFit(meanCkov1);
 538     pRecHTA->SetCkovSig2(rms2);
 539     pRecHTA->SetNCluFit(nClAcc);
 540   }
 541 }//FunMinPhot()
 542 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 543 void AliHMPIDReconHTA::InitDatabase()
 544 {
 545 // Construction a database of ring shapes on fly
 546 //   Arguments: none
 547 //   Returns  : none
 548 //  N.B. fgDB is the distance with x-min from MIP
 549 //                                 y-dist from the ring of the MIP perpendicular to major axis
 550 //        The content is the packed info of track theta and thetaC in degrees
 551 //                        thetaC+1000*thTrk
 552 //
 553 //  TFile *pout = new TFile("./database.root","recreate");
 554
 555   static Bool_t isDone = kFALSE;
 556
 557   TStopwatch timer;
 558
 559   if(isDone) {
 560    return;
 561   }
 562
 563   if(!isDone) {
 564     timer.Start();
 565   }
 566
 567   AliInfo(Form("database HTA is being built.Please, wait..."));
 568 //
 569   Double_t x[3]={0,0,0},y[3];
 570
 571   AliHMPIDRecon rec;
 572
 573   if(!fParam) fParam=AliHMPIDParam::Instance();
 574   Double_t thetaMax = TMath::ACos(1./fParam->MeanIdxRad());
 575   Double_t thTrkMax = 1./TMath::ASin(fParam->MeanIdxRad());
 576
 577   Int_t nstepx = 1000;
 578   Int_t nstepy = 1000;
 579
 580   //
 581   Double_t xrad = 0;
 582   Double_t yrad = 0;
 583   Double_t phTrk = 0;
 584
 585   for(Int_t i=0;i<nstepx;i++) {     //loop on thetaC
 586     for(Int_t j=0;j<nstepy;j++) {   //loop on theta particle
 587       Double_t thetaC = thetaMax/nstepx*((Double_t)i+0.5);
 588       Double_t thTrk  = thTrkMax/nstepy*((Double_t)j+0.5);
 589       //
 590       //mip position
 591       //
 592       Double_t sizeCh = 0.5*fParam->RadThick()+fParam->WinThick()+fParam->GapThick();
 593       Double_t xmip = xrad + sizeCh*TMath::Tan(thTrk)*TMath::Cos(phTrk);
 594       Double_t ymip = yrad + sizeCh*TMath::Tan(thTrk)*TMath::Sin(phTrk);
 595
 596       Double_t dist1,dist2;
 597       //
 598       //first point at phi=0
 599       //
 600       rec.SetTrack(xrad,yrad,thTrk,phTrk);
 601       TVector2 pos;
 602       pos=rec.TracePhot(thetaC,0);
 603
 604       if(pos.X()==-999) {
 605         dist1 = 0;            //open ring...only the distance btw mip and point at 180 will be considered
 606       } else {
 607         x[0] = pos.X(); y[0] = pos.Y();
 608         dist1   = TMath::Sqrt((x[0]-xmip)*(x[0]-xmip)+(y[0]-ymip)*(y[0]-ymip));
 609       }
 610       //
 611       //second point at phi=180
 612       //
 613       rec.SetTrack(xrad,yrad,thTrk,phTrk);
 614       pos=rec.TracePhot(thetaC,TMath::Pi());
 615
 616       if(pos.X()==-999) {AliDebug(1,Form("it should not happens!Bye"));return;}
 617       x[1] = pos.X(); y[1] = pos.Y();
 618       if((x[1]-xmip)*(x[0]-xmip)>0) continue; // to avoid circles out mips (for very low ThetaC)
 619       dist2   = TMath::Sqrt((x[1]-xmip)*(x[1]-xmip)+(y[1]-ymip)*(y[1]-ymip));
 620
 621 //      Double_t distA = dist1+dist2;
 622       Double_t distA = dist2;     // only the minimum: problem of acceptance
 623       //
 624       //second point at phi=90
 625       //
 626       rec.SetTrack(xrad,yrad,thTrk,phTrk);
 627       pos=rec.TracePhot(thetaC,TMath::PiOver2());
 628
 629       if(pos.X()==-999) continue;
 630       x[2] = pos.X(); y[2] = pos.Y();
 631       Double_t distB   = TMath::Sqrt((x[2]-xmip)*(x[2]-xmip)+(y[2]-ymip)*(y[2]-ymip));
 632 // compact the infos...
 633       Int_t compact = (Int_t)(thetaC*TMath::RadToDeg())+1000*(Int_t)(thTrk*TMath::RadToDeg());
 634       Int_t binxDB,binyDB;
 635       FindBinDB(distA,distB,binxDB,binyDB);
 636       if(fgDB[binxDB][binyDB]==0) fgDB[binxDB][binyDB] = compact;
 637     }
 638   }
 639
 640   FillZeroChan();
 641
 642   if(!isDone) {
 643     timer.Stop();
 644     Double_t nSecs = timer.CpuTime();
 645     AliInfo(Form("database HTA successfully open in %3.1f sec.(CPU). Reconstruction is started.",nSecs));
 646     isDone = kTRUE;
 647   }
 648
 649 //  pout->Write();
 650 //  pout->Close();
 651
 652 }//InitDatabase()
 653 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 654 void AliHMPIDReconHTA::FillZeroChan()const
 655 {
 656   //If fills eventually channel without entries
 657   //inthe histo "database" jyst interpolating the neighboring cells
 658   // Arguments: histogram pointer of the database
 659   //   Returns: none
 660   //
 661   const Int_t nxDB = 500;
 662   const Int_t nyDB = 150;
 663
 664   for(Int_t i = 0;i<nxDB;i++) {
 665     for(Int_t j = 0;j<nyDB;j++) {
 666       if(fgDB[i][j] == 0) {
 667         fgDB[i][j] = -1;
 668         Int_t nXmin = i-1; Int_t nXmax=i+1;
 669         Int_t nYmin = j-1; Int_t nYmax=j+1;
 670         Int_t nc = 0;
 671         Double_t meanC =0;
 672         Double_t meanTrk =0;
 673         for(Int_t ix=nXmin;ix<=nXmax;ix++) {
 674           if(ix<0||ix>=nxDB) continue;
 675           for(Int_t iy=nYmin;iy<=nYmax;iy++) {
 676             if(iy<0||iy>=nyDB) continue;
 677             meanC  +=  (Int_t)(fgDB[ix][iy]%1000);
 678             meanTrk+=  (Int_t)(fgDB[ix][iy]/1000);
 679             nc++;
 680           }
 681           meanC/=nc; meanTrk/=nc;
 682           Int_t compact = (Int_t)meanC+1000*(Int_t)meanTrk;
 683           if(compact>0)fgDB[i][j] = compact;
 684         }
 685       }
 686     }
 687   }
 688 }//FillZeroChan()
 689 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 690 Int_t AliHMPIDReconHTA::r2(Double_t *coef, Double_t &x1, Double_t &x2)
 691 {
 692   //2nd deg. equation
 693   //solution
 694   // Arguments: coef 2 1 0: ax^2+bx+c=0
 695   //   Returns: n. of solutions
 696   //            x1= 1st sol
 697   //            x2= 2nd sol
 698   Double_t a,b,c;
 699   a = coef[2];
 700   b = coef[1];
 701   c = coef[0];
 702   Double_t delta = b*b-4*a*c;
 703   if(delta<0) {return 0;}
 704   if(delta==0) {
 705     x1=x2=-b/(2*a);
 706     return 1;
 707   }
 708   // delta>0
 709   x1 = (-b+TMath::Sqrt(delta))/(2*a);
 710   x2 = (-b-TMath::Sqrt(delta))/(2*a);
 711   return 2;
 712 }//r2()
 713 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 714
 715 Double_t AliHMPIDReconHTA::FindSimmPhi()
 716 {
 717 //+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 718 // Reconstruction of phiTRK angle with two methods (in switching)
 719 //
 720 // - least square method (for closed rings)
 721 // - by minimum distance mip-photon (for open rings)
 722
 723   Float_t coeff1ord=0;     Float_t coeff2ord=0;     Float_t coeff0ord=0;
 724   Float_t xrotsumm =0;     Float_t yrotsumm =0;     Float_t xx =0;
 725   Float_t yy =0;           Float_t xy =0;
 726   Double_t xmin=0;
 727   Double_t ymin=0;
 728
 729   Int_t np=0;
 730
 731   Double_t distMin = 999.;
 732
 733   for(Int_t i=0;i<fNClu;i++) {
 734     if(!fClCk[i]) continue;
 735     np++;
 736     xrotsumm+=fXClu[i];         // summ xi
 737     yrotsumm+=fYClu[i];         // summ yi
 738     xx+=fXClu[i]*fXClu[i];      // summ xixi
 739     yy+=fYClu[i]*fYClu[i];      // summ yiyi
 740     xy+=fXClu[i]*fYClu[i];      // summ yixi
 741     Double_t dist2= (fXClu[i]-fMipX)*(fXClu[i]-fMipX)+(fYClu[i]-fMipY)*(fYClu[i]-fMipY);
 742     if(dist2<distMin) {
 743       distMin = dist2;
 744       xmin = fXClu[i];
 745       ymin = fYClu[i];
 746     }
 747   }
 748
 749   Double_t AngM = TMath::ATan2(ymin-fMipY,(xmin-fMipX))*TMath::RadToDeg();
 750   if (AngM<0) AngM+=360;
 751
 752   AliDebug(1,Form(" Simple angle prediction with MIN phi = %f",AngM));
 753
 754   //_____calc. met min quadr using effective distance _________________________________________________
 755
 756   coeff2ord = xy-xrotsumm*yrotsumm/np;
 757   coeff1ord = yrotsumm*yrotsumm/np - xrotsumm*xrotsumm/np - yy + xx;
 758   coeff0ord = -coeff2ord;
 759
 760   AliDebug(1,Form(" a = %f b = %f c = %f",coeff2ord,coeff1ord,coeff0ord));
 761
 762   Double_t m1=0, m2=0;  Double_t n1=0, n2=0;
 763                             // c           // b         // a
 764   Double_t coeff[3]={coeff0ord,coeff1ord,coeff2ord};
 765
 766   r2(coeff,m1,m2);
 767
 768   n1=(yrotsumm-m1*xrotsumm)/np;
 769   n2=(yrotsumm-m2*xrotsumm)/np;
 770   // 2 solutions.................
 771
 772   // negative angles solved...
 773
 774   Double_t d1 =(1/(m1*m1+1))*(yy+m1*m1*xx+np*n1*n1-2*m1*xy-2*n1*yrotsumm+2*m1*n1*xrotsumm);
 775   Double_t d2 =(1/(m2*m2+1))*(yy+m2*m2*xx+np*n2*n2-2*m2*xy-2*n2*yrotsumm+2*m2*n2*xrotsumm);
 776
 777   AliDebug(1,Form(" predicted distance d1 %f for angle %6.2f d2 %f for angle %6.2f",d1,TMath::ATan(m1)*TMath::RadToDeg(),
 778                                                                                     d2,TMath::ATan(m2)*TMath::RadToDeg()));
 779   Double_t mMin;
 780   if(d1 > d2) mMin = m2; else mMin = m1;
 781
 782   Double_t phiTrk=0;
 783   //
 784   if(ymin <  fMipY && xmin >  fMipX)  {phiTrk  =  TMath::ATan(mMin)*TMath::RadToDeg()+180;}
 785   if(ymin >  fMipY && xmin <  fMipX)  {phiTrk  =  TMath::ATan(mMin)*TMath::RadToDeg()+360;}
 786   if(ymin >  fMipY && xmin >  fMipX)  {phiTrk  =  TMath::ATan(mMin)*TMath::RadToDeg()+180;}
 787   if(ymin <  fMipY && xmin <  fMipX)  {phiTrk  =  TMath::ATan(mMin)*TMath::RadToDeg();}
 788   if(ymin == fMipY && xmin >  fMipX)  {phiTrk  =  TMath::ATan(mMin)*TMath::RadToDeg()+180;}
 789   if(ymin == fMipY && xmin <  fMipX)  {phiTrk  =  TMath::ATan(mMin)*TMath::RadToDeg();}
 790   if(ymin <  fMipY && xmin == fMipX)  {phiTrk  =   90;}
 791   if(ymin >  fMipY && xmin == fMipX)  {phiTrk  =  270;}
 792
 793   //  ------------------------- choose the best-----------------------
 794
 795
 796   if( AngM-40 <=  phiTrk  &&  AngM+40 >= phiTrk)   return phiTrk;  else return AngM;
 797 }
 798 //+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 799 void AliHMPIDReconHTA::FindBinDB(Double_t x,Double_t y,Int_t &binX,Int_t &binY)
 800 {
 801   const Int_t nxDB = 500;
 802   const Int_t nyDB = 150;
 803   const Double_t xlowDB =  0;
 804   const Double_t xhigDB = 50;
 805   const Double_t ylowDB =  0;
 806   const Double_t yhigDB = 30;
 807
 808   binX = -1;
 809   binY = -1;
 810   if(x<xlowDB && x>xhigDB &&
 811      y<ylowDB && y>yhigDB)    return;
 812   binX = Int_t((x-xlowDB)/(xhigDB-xlowDB)*nxDB);
 813   binY = Int_t((y-ylowDB)/(yhigDB-ylowDB)*nyDB);
 814   if(binX>=nxDB || binY>=nyDB) {
 815     binX = -1;
 816     binY = -1;
 817   }
 818
 819 }
 820 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 821 Bool_t AliHMPIDReconHTA::UniformDistrib()
 822 {
 823   AliHMPIDParam *pParam=AliHMPIDParam::Instance();
 824   AliHMPIDRecon pRec;
 825
 826   Double_t sizeCh = 0.5*pParam->RadThick()+pParam->WinThick()+pParam->GapThick();
 827   Double_t xrad = MipX() - sizeCh*TMath::Tan(fThTrkFit)*TMath::Cos(fPhTrkFit);
 828   Double_t yrad = MipY() - sizeCh*TMath::Tan(fThTrkFit)*TMath::Sin(fPhTrkFit);
 829
 830   pRec.SetTrack(xrad,yrad,fThTrkFit,fPhTrkFit);
 831
 832   Int_t npeff=0;
 833   Int_t nPhotPerBin = 4;
 834   for(Int_t i=0;i<fNClu;i++) {
 835     if(!ClCk(i)) continue;
 836     npeff++;
 837   }
 838
 839   Int_t nPhiBins = npeff/nPhotPerBin+1;
 840   if(nPhiBins<=1) nPhiBins = 2;
 841
 842   Double_t *iPhiBin;
 843   iPhiBin = new Double_t[nPhiBins];
 844
 845   for(Int_t i=0;i<nPhiBins;i++) iPhiBin[i] =0;
 846
 847   for(Int_t i=0;i<fNClu;i++) {
 848     if(!ClCk(i)) continue;
 849     Double_t phiCer = PhotPhi(i);
 850
 851     Double_t PhiProva = phiCer*TMath::RadToDeg();
 852     if(PhiProva<0) PhiProva+= 360;
 853     Int_t index = (Int_t)((Float_t)nPhiBins*PhiProva/360.);
 854     iPhiBin[index]++;
 855    }
 856
 857    Double_t chi2 = 0;
 858    for(Int_t i=0;i<nPhiBins;i++) {
 859      Double_t theo = (Double_t)npeff/(Double_t)nPhiBins;
 860      chi2+= (iPhiBin[i] - theo)*(iPhiBin[i] - theo)/theo;
 861    }
 862
 863     delete iPhiBin;
 864
 865     Double_t prob = TMath::Prob(chi2, nPhiBins-1);
 866     AliDebug(1,Form(" Probability for uniform distrib: %6f.3 %s",prob,(prob<0.05) ? "rejected" : "accepted"));
 867     if(prob<0.05) return kFALSE;
 868     return kTRUE;
 869
 870  }
 871 //+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++