TOF/AliTOFT0.cxx

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  15
  16 /* $Id$ */
  17
  18 //_________________________________________________________________________
  19 // This is a TTask that made the calculation of the Time zero using TOF.
  20 // Description: The algorithm used to calculate the time zero of interaction
  21 // using TOF detector is the following.
  22 // We select in the MonteCarlo some primary particles - or tracks in the following -
  23 // that strike the TOF detector (the larger part are pions, kaons or protons).
  24 // We choose a set of 10 selected tracks, for each track You have the length
  25 // of the track when the TOF is reached (a standard TOF hit does not contain this
  26 // additional information, this is the reason why we implemented a new time zero
  27 // dedicated TOF hit class AliTOFhitT0; in order to store this type of hit You
  28 // have to use the AliTOFv4T0 as TOF class in Your Config.C. In AliTOFv4T0 the
  29 // StepManager was modified in order to fill the TOF hit branch with this type
  30 // of hits; in fact the AliTOF::AddT0Hit is called rather that the usual AliTOF::AddHit),
  31 // the momentum at generation (from TreeK) and the time of flight
  32 // given by the TOF detector.
  33 // (Observe that the ctor of the AliTOF class, when the AliTOFv4T0 class is used, is called
  34 // with the "tzero" option: it is in order create the fHits TClonesArray filled with
  35 // AliTOFhitT0 objects, rather than with normal AliTOFhit)
  36 // Then Momentum and time of flight for each track are smeared according to
  37 // known experimental resolution (all sources of error have been token into account).
  38 // Let consider now only one set of 10 tracks (the algorithm is the same for all sets).
  39 // Assuming the (mass) hypothesis that each track can be AUT a pion, AUT a kaon, AUT a proton,
  40 // we consider all the 3 at 10 possible cases.
  41 // For each track in each (mass) configuration
  42 // (a configuration can be e.g. pion/pion/kaon/proton/pion/proton/kaon/kaon/pion/pion)
  43 // we calculate the time zero (we know in fact the velocity of the track after
  44 // the assumption about its mass, the time of flight given by the TOF, and the
  45 // corresponding path travelled till the TOF detector). Then for each mass configuration we have
  46 // 10 time zero and we can calculate the ChiSquare for the current configuration using the
  47 // weighted mean over all 10 time zero.
  48 // We call the best assignment the mass configuration that gives the minimum value of the ChiSquare.
  49 // We plot the weighted mean over all 10 time zero for the best assignment,
  50 // the ChiSquare for the best assignment and the corresponding confidence level.
  51 // The strong assumption is the MC selection of primary particles. It will be introduced
  52 // in the future also some more realistic simulation about this point.
  53 // Use case:
  54 // root [0] AliTOFT0 * tzero = new AliTOFT0("galice.root")
  55 // Warning in <TDatabasePDG::TDatabasePDG>: object already instantiated
  56 // root [1] tzero->ExecuteTask()
  57 // root [2] tzero->ExecuteTask("tim")
  58 //             // available parameters:
  59 //             tim - print benchmarking information
  60 //             all - print usefull informations about the number of misidentified tracks
  61 //                   and a comparison about the true configuration (known from MC) and the best
  62 //                   assignment
  63 //-- Author: F. Pierella
  64 //////////////////////////////////////////////////////////////////////////////
  65
  66 #include <Riostream.h>
  67 #include <stdlib.h>
  68
  69 #include <TBenchmark.h>
  70 #include <TCanvas.h>
  71 #include <TClonesArray.h>
  72 #include <TFile.h>
  73 #include <TFolder.h>
  74 #include <TFrame.h>
  75 #include <TH1.h>
  76 #include <TParticle.h>
  77 #include <TROOT.h>
  78 #include <TSystem.h>
  79 #include <TTask.h>
  80 #include <TTree.h>
  81 #include <TVirtualMC.h>
  82
  83 #include "AliDetector.h"
  84 #include "AliMC.h"
  85 #include "AliRun.h"
  86
  87 #include "AliTOF.h"
  88 #include "AliTOFT0.h"
  89 #include "AliTOFhitT0.h"
  90 #include "AliTOFv4T0.h"
  91 #include "AliTOFv5T0.h"
  92
  93 ClassImp(AliTOFT0)
  94
  95 //____________________________________________________________________________
  96   AliTOFT0::AliTOFT0():TTask("AliTOFT0","")
  97 {
  98   // ctor
  99   fNevents = 0 ;
 100 }
 101
 102 //____________________________________________________________________________
 103   AliTOFT0::AliTOFT0(char* headerFile, Int_t nEvents):TTask("AliTOFT0","")
 104 {
 105   fNevents=nEvents ; // Number of events for which calculate the T0,
 106                      // default 0: it means all evens in current file
 107   fLowerMomBound=1.5; // [GeV/c] default value
 108   fUpperMomBound=2. ; // [GeV/c] default value
 109   fTimeResolution   = 1.2e-10; // 120 ps by default
 110   fHeadersFile = headerFile ;
 111
 112   TFile * file = (TFile*) gROOT->GetFile(fHeadersFile.Data() ) ;
 113
 114   //File was not opened yet
 115   if(file == 0){
 116     if(fHeadersFile.Contains("rfio"))
 117       file =    TFile::Open(fHeadersFile,"update") ;
 118     else
 119       file = new TFile(fHeadersFile.Data(),"update") ;
 120     gAlice = (AliRun *) file->Get("gAlice") ;
 121   }
 122
 123   // add Task to //root/Tasks folder
 124   TTask * roottasks = (TTask*)gROOT->GetRootFolder()->FindObject("Tasks") ;
 125   roottasks->Add(this) ;
 126 }
 127
 128 //____________________________________________________________________________
 129   AliTOFT0::AliTOFT0(const AliTOFT0 & tzero):TTask("AliTOFT0","")
 130 {
 131 ( (AliTOFT0 &)tzero ).Copy(*this);
 132 }
 133
 134 //____________________________________________________________________________
 135   AliTOFT0::~AliTOFT0()
 136 {
 137   // dtor
 138 }
 139
 140 //____________________________________________________________________________
 141 void AliTOFT0::Exec(Option_t *option)
 142 {
 143   //
 144   // calculate T0 distribution for all events using chisquare
 145   //
 146   Int_t ngood=0;
 147   Int_t nmisidentified=0;
 148   Int_t nmisidentified0=0;
 149   Int_t nmisidentified1=0;
 150   Int_t nmisidentified2=0;
 151   Int_t nmisidentified3=0;
 152   Int_t nmisidentified4=0;
 153   Int_t nmisidentified5=0;
 154   Int_t nmisidentified6=0;
 155   Int_t nmisidentified7=0;
 156   Int_t nmisidentified8=0;
 157   Int_t nmisidentified9=0;
 158   Int_t ipartold = -1;
 159   Int_t ipart;
 160   Int_t selected=0;
 161   Int_t istop=0;
 162   Float_t timeresolutioninns=fTimeResolution*(1.e+9); // convert in [ns]
 163   const Int_t kUPDATE = 5; // for visual option
 164   Int_t itimes=0;
 165   TCanvas* c1=0;
 166   TCanvas* c2=0;
 167   TCanvas* c3=0;
 168
 169   if(strstr(option,"visual")){
 170     // Create a new canvas.
 171     //c1 = new TCanvas("c1","Dynamic Visual Filling of time zero histo",10,10,500,500);
 172     c1 = new TCanvas("c1","Dynamic Visual Filling of time zero histo",10,10,370,370);
 173     c1->SetFillColor(35);
 174     c1->GetFrame()->SetFillColor(21);
 175     c1->GetFrame()->SetBorderSize(6);
 176     c1->GetFrame()->SetBorderMode(-1);
 177
 178     //c2 = new TCanvas("c2","Dynamic Visual Filling of chisquare histo",550,10,500,500);
 179     c2 = new TCanvas("c2","Dynamic Visual Filling of chisquare histo",380,10,370,370);
 180     c2->SetFillColor(35);
 181     c2->GetFrame()->SetFillColor(21);
 182     c2->GetFrame()->SetBorderSize(6);
 183     c2->GetFrame()->SetBorderMode(-1);
 184
 185     //c3 = new TCanvas("c3","Dynamic Visual Filling of confidence level histo",280,550,500,500);
 186     c3 = new TCanvas("c3","Dynamic Visual Filling of confidence level histo",760,10,370,370);
 187     c3->SetFillColor(35);
 188     c3->GetFrame()->SetFillColor(21);
 189     c3->GetFrame()->SetBorderSize(6);
 190     c3->GetFrame()->SetBorderMode(-1);
 191   }
 192
 193   if(strstr(option,"tim") || strstr(option,"all"))
 194     gBenchmark->Start("TOFT0");
 195
 196   TH1F *htzerobest= new TH1F("htzerobest","T0 for best assignment",200,-1.,1.);
 197   TH1F* hchibest  = new TH1F("hchibest","ChiSquare Min Distribution",80,0.,40.);
 198   TH1F* hchibestconflevel  = new TH1F("hchibestconflevel","ChiSquare Min Confidence Level",10,0.,1.);
 199
 200   // setting histo colors
 201   if(strstr(option,"visual")){
 202     htzerobest->SetFillColor(48);
 203     hchibest->SetFillColor(50);
 204     hchibestconflevel->SetFillColor(52);
 205   }
 206
 207   Int_t   assparticle[10]={3,3,3,3,3,3,3,3,3,3};
 208   Int_t   truparticle[10]={3,3,3,3,3,3,3,3,3,3};
 209   Float_t t0best=999.;
 210   Float_t timeofflight[10]={0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
 211   Float_t momentum[10]={0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
 212   Float_t timezero[10];
 213   Float_t weightedtimezero[10];
 214   Float_t beta[10]={0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
 215   Float_t sqMomError[10]={0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
 216   Float_t sqTrackError[10]={0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
 217   Float_t massarray[3]={0.13957,0.493677,0.9382723};
 218   Float_t dummychisquare=0.;
 219   Float_t chisquare=999.;
 220   Float_t tracktoflen[10]={0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
 221
 222   AliTOF *TOF = (AliTOF *) gAlice->GetDetector ("TOF");
 223
 224   if (!TOF) {
 225     Error("AliTOFT0","TOF not found");
 226     return;
 227   }
 228
 229   if(strstr(option,"all")){
 230     cout << "Selecting primary tracks with momentum between " << fLowerMomBound << " GeV/c and " << fUpperMomBound << " GeV/c" << endl;
 231     cout << "Memorandum: 0 means PION | 1 means KAON | 2 means PROTON" << endl;
 232   }
 233
 234   if (fNevents == 0) fNevents = (Int_t) gAlice->TreeE()->GetEntries();
 235
 236   for (Int_t ievent = 0; ievent < fNevents; ievent++) {
 237     gAlice->GetEvent(ievent);
 238     TTree *TH = TOF->TreeH ();
 239     if (!TH)
 240       return;
 241     TParticle*    particle;
 242     AliTOFhitT0*  tofHit;
 243     TClonesArray* TOFhits = TOF->Hits();
 244
 245     Int_t lasttrack=-1;
 246     Int_t nset=0;
 247
 248     TH->SetBranchStatus("*",0); // switch off all branches
 249     TH->SetBranchStatus("TOF*",1); // switch on only TOF
 250
 251     // Start loop on primary tracks in the hits containers
 252
 253     Int_t ntracks = static_cast<Int_t>(TH->GetEntries());
 254     for (Int_t track = 0; track < ntracks; track++)
 255     {
 256       if(nset>=5) break; // check on the number of set analyzed
 257
 258       gAlice->ResetHits();
 259       TH->GetEvent(track);
 260       particle = gAlice->GetMCApp()->Particle(track);
 261       Int_t nhits = TOFhits->GetEntriesFast();
 262
 263       for (Int_t hit = 0; hit < nhits; hit++)
 264       {
 265         tofHit = (AliTOFhitT0 *) TOFhits->UncheckedAt(hit);
 266         ipart    = tofHit->GetTrack();
 267         // check to discard the case when the same particle is selected more than one
 268         // time
 269
 270         if (ipart != ipartold){
 271
 272           particle = (TParticle*)gAlice->GetMCApp()->Particle(ipart);
 273
 274           Float_t idealtime=tofHit->GetTof();
 275           //       Float_t time=idealtime;
 276           Float_t time   = gRandom->Gaus(idealtime, fTimeResolution);
 277           Float_t toflen=tofHit->GetLen();
 278           toflen=toflen/100.; // toflen given in m
 279           Int_t pdg   = particle->GetPdgCode();
 280           Int_t abspdg   =TMath::Abs(pdg);
 281           Float_t idealmom  = particle->P();
 282           Float_t momres=idealmom*0.025; // 2.5% res token into account for all momenta
 283           Float_t mom =gRandom->Gaus(idealmom,momres);
 284
 285           Bool_t isgoodpart=(abspdg==211 || abspdg==2212 || abspdg==321);
 286
 287           time*=1.E+9; // tof given in nanoseconds
 288           if (particle->GetFirstMother() < 0 && isgoodpart && mom<=fUpperMomBound && mom>=fLowerMomBound){
 289             selected+=1;
 290             istop=selected;
 291             if(istop>10) break;
 292             Int_t index=selected-1;
 293             timeofflight[index]=time;
 294             tracktoflen[index]=toflen;
 295             momentum[index]=mom;
 296             //      cout << timeofflight[index] << " " << tracktoflen[index] << " " << momentum[index] << endl;
 297             switch (abspdg) {
 298             case 211:
 299               truparticle[index]=0;
 300               break ;
 301             case 321:
 302               truparticle[index]=1;
 303               break ;
 304             case 2212:
 305               truparticle[index]=2;
 306               break ;
 307             }
 308
 309           }
 310           ipartold = ipart;
 311
 312           if(istop==10){ // start analysis on current set
 313             nset+=1;
 314             lasttrack=track;
 315             istop=0;
 316             selected=0;
 317             //cout << "starting t0 calculation for current set" << endl;
 318             for (Int_t i1=0; i1<3;i1++) {
 319               beta[0]=momentum[0]/sqrt(massarray[i1]*massarray[i1]+momentum[0]*momentum[0]);
 320               for (Int_t i2=0; i2<3;i2++) {
 321                 beta[1]=momentum[1]/sqrt(massarray[i2]*massarray[i2]+momentum[1]*momentum[1]);
 322                 for (Int_t i3=0; i3<3;i3++) {
 323                   beta[2]=momentum[2]/sqrt(massarray[i3]*massarray[i3]+momentum[2]*momentum[2]);
 324                   for (Int_t i4=0; i4<3;i4++) {
 325                     beta[3]=momentum[3]/sqrt(massarray[i4]*massarray[i4]+momentum[3]*momentum[3]);
 326                     for (Int_t i5=0; i5<3;i5++) {
 327                       beta[4]=momentum[4]/sqrt(massarray[i5]*massarray[i5]+momentum[4]*momentum[4]);
 328                       for (Int_t i6=0; i6<3;i6++) {
 329                         beta[5]=momentum[5]/sqrt(massarray[i6]*massarray[i6]+momentum[5]*momentum[5]);
 330                         for (Int_t i7=0; i7<3;i7++) {
 331                           beta[6]=momentum[6]/sqrt(massarray[i7]*massarray[i7]+momentum[6]*momentum[6]);
 332                           for (Int_t i8=0; i8<3;i8++) {
 333                             beta[7]=momentum[7]/sqrt(massarray[i8]*massarray[i8]+momentum[7]*momentum[7]);
 334                             for (Int_t i9=0; i9<3;i9++) {
 335                               beta[8]=momentum[8]/sqrt(massarray[i9]*massarray[i9]+momentum[8]*momentum[8]);
 336                               for (Int_t i10=0; i10<3;i10++) {
 337                                 beta[9]=momentum[9]/sqrt(massarray[i10]*massarray[i10]+momentum[9]*momentum[9]);
 338
 339                                 Float_t meantzero=0.;
 340                                 Float_t sumAllweights=0.;
 341                                 for (Int_t itz=0; itz<10;itz++) {
 342                                   sqMomError[itz]=((1.-beta[itz]*beta[itz])*0.025)*((1.-beta[itz]*beta[itz])*0.025)*(tracktoflen[itz]/(0.299792*beta[itz]))*(tracktoflen[itz]/(0.299792*beta[itz])); // this gives the square of the momentum error in nanoseconds
 343                                   sqTrackError[itz]=(timeresolutioninns*timeresolutioninns+sqMomError[itz]); // total error for the current track
 344                                   sumAllweights+=1./sqTrackError[itz];
 345
 346                                   timezero[itz]=(tracktoflen[itz]/(beta[itz]*0.299792))-timeofflight[itz];
 347                                   weightedtimezero[itz]=((tracktoflen[itz]/(beta[itz]*0.299792))-timeofflight[itz])/sqTrackError[itz];// weighted time zero for current track
 348                                   meantzero+=weightedtimezero[itz];
 349                                 } // end loop for (Int_t itz=0; itz<10;itz++)
 350                                 meantzero=meantzero/sumAllweights; // it is given in [ns]
 351
 352                                 dummychisquare=0.;
 353                                 // calculate the chisquare for the current assignment
 354                                 for (Int_t icsq=0; icsq<10;icsq++) {
 355                                   dummychisquare+=(timezero[icsq]-meantzero)*(timezero[icsq]-meantzero)/sqTrackError[icsq];
 356                                 } // end loop for (Int_t icsq=0; icsq<10;icsq++)
 357
 358                                 if(dummychisquare<=chisquare){
 359                                   assparticle[0]=i1;
 360                                   assparticle[1]=i2;
 361                                   assparticle[2]=i3;
 362                                   assparticle[3]=i4;
 363                                   assparticle[4]=i5;
 364                                   assparticle[5]=i6;
 365                                   assparticle[6]=i7;
 366                                   assparticle[7]=i8;
 367                                   assparticle[8]=i9;
 368                                   assparticle[9]=i10;
 369                                   chisquare=dummychisquare;
 370                                   t0best=meantzero;
 371                                 } // close if(dummychisquare<=chisquare)
 372
 373                               } // end loop on i10
 374                             } // end loop on i9
 375                           } // end loop on i8
 376                         } // end loop on i7
 377                       } // end loop on i6
 378                     } // end loop on i5
 379                   } // end loop on i4
 380                 } // end loop on i3
 381               } // end loop on i2
 382             } // end loop on i1
 383
 384             if(truparticle[0]==assparticle[0] && truparticle[1]==assparticle[1] && truparticle[2]==assparticle[2]  && truparticle[3]==assparticle[3] && truparticle[4]==assparticle[4]&& truparticle[5]==assparticle[5] && truparticle[6]==assparticle[6] && truparticle[7]==assparticle[7]  && truparticle[8]==assparticle[8] && truparticle[9]==assparticle[9]) ngood+=1;
 385             if(truparticle[0]!=assparticle[0]) nmisidentified0+=1;
 386             if(truparticle[1]!=assparticle[1]) nmisidentified1+=1;
 387             if(truparticle[2]!=assparticle[2]) nmisidentified2+=1;
 388             if(truparticle[3]!=assparticle[3]) nmisidentified3+=1;
 389             if(truparticle[4]!=assparticle[4]) nmisidentified4+=1;
 390             if(truparticle[5]!=assparticle[5]) nmisidentified5+=1;
 391             if(truparticle[6]!=assparticle[6]) nmisidentified6+=1;
 392             if(truparticle[7]!=assparticle[7]) nmisidentified7+=1;
 393             if(truparticle[8]!=assparticle[8]) nmisidentified8+=1;
 394             if(truparticle[9]!=assparticle[9]) nmisidentified9+=1;
 395             // filling histos
 396             htzerobest->Fill(t0best);
 397             hchibest->Fill(chisquare);
 398             Double_t dblechisquare=(Double_t)chisquare;
 399             Float_t confLevel=(Float_t)TMath::Prob(dblechisquare,9); // ndf 10-1=9
 400             hchibestconflevel->Fill(confLevel);
 401             itimes++;
 402             if(strstr(option,"all")){
 403               cout << "True Assignment " << truparticle[0] << truparticle[1] << truparticle[2] << truparticle[3] << truparticle[4] << truparticle[5] << truparticle[6] << truparticle[7] << truparticle[8] << truparticle[9] <<endl;
 404               cout << "Best Assignment " << assparticle[0] << assparticle[1] << assparticle[2] << assparticle[3] << assparticle[4] << assparticle[5] << assparticle[6] << assparticle[7] << assparticle[8] << assparticle[9] << endl;
 405               cout << "Minimum ChiSquare for current set    " << chisquare << endl;
 406               cout << "Confidence Level (Minimum ChiSquare) " << confLevel << endl;
 407             }
 408             if (strstr(option,"visual") && itimes && (itimes%kUPDATE) == 0) {
 409               if (itimes == kUPDATE){
 410                 c1->cd();
 411                 htzerobest->Draw();
 412                 c2->cd();
 413                 hchibest->Draw();
 414                 c3->cd();
 415                 hchibestconflevel->Draw();
 416               }
 417               c1->Modified();
 418               c1->Update();
 419               c2->Modified();
 420               c2->Update();
 421               c3->Modified();
 422               c3->Update();
 423               if (gSystem->ProcessEvents())
 424                 break;
 425             }
 426             chisquare=999.;
 427             t0best=999.;
 428
 429           } // end for the current set. close if(istop==5)
 430         } // end condition on ipartold
 431       } // end loop on hits for the current track
 432       if(istop>=10) break;
 433     } // end loop on ntracks
 434   } //event loop
 435
 436   if(strstr(option,"all")){
 437     nmisidentified=(nmisidentified0+nmisidentified1+nmisidentified2+nmisidentified3+nmisidentified4+nmisidentified5+nmisidentified6+nmisidentified7+nmisidentified8+nmisidentified9);
 438     cout << "total number of tracks token into account  " << 10*5*fNevents << endl;
 439     Float_t badPercentage=100.*(Float_t)nmisidentified/(10*5*fNevents);
 440     cout << "total misidentified                        " << nmisidentified << "("<< badPercentage << "%)" <<endl;
 441     cout << "Total Number of set token into account     " << 5*fNevents << endl;
 442     Float_t goodSetPercentage=100.*(Float_t)ngood/(5*fNevents);
 443     cout << "Number of set with no misidentified tracks " << ngood << "("<< goodSetPercentage << "%)" <<endl;
 444   }
 445
 446   // free used memory for canvas
 447   delete c1; c1=0;
 448   delete c2; c2=0;
 449   delete c3; c3=0;
 450
 451   // generating output filename only if not previously specified using SetTZeroFile
 452   char outFileName[70];
 453   strcpy(outFileName,"ht010tr120ps"); // global time resolution has to be converted from Int_t to char
 454                                       // in order to have in the output filename this parameter
 455   strcat(outFileName,fHeadersFile);
 456
 457   if(fT0File.IsNull()) fT0File=outFileName;
 458
 459   TFile* houtfile = new TFile(fT0File,"recreate");
 460   houtfile->cd();
 461   htzerobest->Write(0,TObject::kOverwrite);
 462   hchibest->Write(0,TObject::kOverwrite);
 463   hchibestconflevel->Write(0,TObject::kOverwrite);
 464   houtfile->Close();
 465
 466
 467   if(strstr(option,"tim") || strstr(option,"all")){
 468     gBenchmark->Stop("TOFT0");
 469     cout << "AliTOFT0:" << endl ;
 470     cout << "   took " << gBenchmark->GetCpuTime("TOFT0") << " seconds in order to calculate T0 "
 471          <<  gBenchmark->GetCpuTime("TOFT0")/fNevents << " seconds per event " << endl ;
 472     cout << endl ;
 473   }
 474 }
 475
 476 //__________________________________________________________________
 477 void AliTOFT0::SetTZeroFile(char * file ){
 478   cout << "Destination file : " << file << endl ;
 479   fT0File=file;
 480 }
 481 //__________________________________________________________________
 482 void AliTOFT0::Print(Option_t* /*option*/)const
 483 {
 484   cout << "------------------- "<< GetName() << " -------------" << endl ;
 485   if(!fT0File.IsNull())
 486     cout << "  Writing T0 Distribution to file  " << (char*) fT0File.Data() << endl ;
 487 }
 488
 489 //__________________________________________________________________
 490 Bool_t AliTOFT0::operator==( AliTOFT0 const &tzero )const
 491 {
 492   // Equal operator.
 493   //
 494
 495   if( (fTimeResolution==tzero.fTimeResolution)&&(fLowerMomBound==tzero.fLowerMomBound)&&(fUpperMomBound==tzero.fUpperMomBound))
 496     return kTRUE ;
 497   else
 498     return kFALSE ;
 499 }