ALIFAST/AliFTrackMaker.cxx

   1 //////////////////////////////////////////////////////////////////////////
   2 //                                                                      //
   3 // AliFast TrackMaker class.                                            //
   4 //                                                                      //
   5 //                                                                      //
   6 //////////////////////////////////////////////////////////////////////////
   7 // ---------------------------------------------------------------------//
   8 //                                                                      //
   9 // origin: "res.f" fortran by Karel Safarik which was used to           //
  10 //         calculate the track resolution for TP.                       //
  11 //         Different detectors and material can be selected.            //
  12 //         The basic routines compute information and error matrices    //
  13 //         used for the calculation of momentum resolution.             //
  14 //         see references: ASK KAREL??                                  //
  15 //                                                                      //
  16 // C++ in AliFast framework: Elzbieta Richter-Was and Yiota Foka        //
  17 //                           following general structure od Makers in   //
  18 //                           ATLFast by R. Brun.                        //
  19 //                                                                      //
  20 // purpose: provide a Maker which by using general basic routines of    //
  21 //          "res.f" computes the necessary elements of covariance matrix//
  22 //          for the calculation of Track Resolution.                    //
  23 //          Those elements are the product of the TrackResolMaker and   //
  24 //          are hold in TrackResol class. They are expected to be used  //
  25 //          together with additional information for the calculation of //
  26 //          the smeared momenta.                                        //
  27 //          Additional information necessary for this calculation       //
  28 //          will be provided via classes or functions specific to the   //
  29 //          specific study and/or detectors.                            //
  30 //          One can select the detector and/or material for a specific  //
  31 //          study.                                                      //
  32 //                                                                      //
  33 // starting point: res.f will be initialy partially contained in        //
  34 //                 AliFTrackResolMaker and in AliFDet                   //
  35 //                 It will be reorganised further in the framework of   //
  36 //                 AliFast according to the needs.                      //
  37 //                 Names of variables are kept as in fortran code.      //
  38 //                                                                      //
  39 //////////////////////////////////////////////////////////////////////////
  40
  41
  42 #ifdef WIN32
  43 // there is a bug in the Microsoft VisualC++ compiler
  44 // this class must be compiled with optimization off on Windows
  45 # pragma optimize( "", off )
  46 #endif
  47
  48 #include <TParticle.h>
  49 #include <TFile.h>
  50 #include <TSystem.h>
  51 #include <TRandom.h>
  52 #include <TROOT.h>
  53 #include <TMath.h>
  54 #include <TH1.h>
  55 #include <TH2.h>
  56 #include <TH3.h>
  57
  58 #include "AliFast.h"
  59 //#include "AliFMCMaker.h"
  60 #include "AliFTrackMaker.h"
  61 #include "AliFTrack.h"
  62 #include "AliFDet.h"
  63
  64 const Double_t kPi       = TMath::Pi();
  65 const Double_t k2Pi      = 2*kPi;
  66 const Double_t kPiHalf   = kPi/2.;
  67 extern  AliFast * gAliFast;
  68 ClassImp(AliFTrackMaker)
  69
  70 //_____________________________________________________________________________
  71 AliFTrackMaker::AliFTrackMaker()
  72 {
  73    fNTracks = 0;
  74    fResID1Test = 0;
  75    fResID2Test = 0;
  76    fResID3Test = 0;
  77    fResID4Test = 0;
  78    fResID5Test = 0;
  79 }
  80
  81 //_____________________________________________________________________________
  82 AliFTrackMaker::AliFTrackMaker(const char *name, const char *title)
  83                  :AliFMaker(name,title)
  84 {
  85 //    Default Setters for tracks
  86
  87    fFruits     = new TClonesArray("AliFTrack",100, kFALSE);
  88    fBranchName = "Tracks";
  89    fNTracks    = 0;
  90 // Please, how to do this optionally ??!!!
  91    Save();
  92 }
  93
  94 //_____________________________________________________________________________
  95 AliFTrackMaker::~AliFTrackMaker()
  96 {
  97    //dummy
  98 }
  99
 100 //_____________________________________________________________________________
 101 AliFTrack *AliFTrackMaker::AddTrack(Int_t code, Double_t charge,
 102                                     Double_t pT, Double_t eta,Double_t phi,
 103                                     Double_t v11, Double_t v22, Double_t v33,
 104                                     Double_t v12, Double_t v13, Double_t v23, Int_t iFlag)
 105 {
 106 //            Add a new track to the list of tracks
 107
 108  //Note the use of the "new with placement" to create a new track object.
 109  //This complex "new" works in the following way:
 110  //   tracks[i] is the value of the pointer for track number i in the TClonesArray
 111  //   if it is zero, then a new track must be generated. This typically
 112  //   will happen only at the first events
 113  //   If it is not zero, then the already existing object is overwritten
 114  //   by the new track parameters.
 115  // This technique should save a huge amount of time otherwise spent
 116  // in the operators new and delete.
 117
 118    TClonesArray &tracks = *(TClonesArray*)fFruits;
 119    return new(tracks[fNTracks++]) AliFTrack(code,charge,pT,eta,phi,
 120                                   v11, v22, v33, v12, v13, v23, iFlag);
 121 }
 122
 123 //_____________________________________________________________________________
 124 void AliFTrackMaker::Clear(Option_t *option)
 125 {
 126    //Reset Track Maker
 127
 128    fNTracks = 0;
 129    AliFMaker::Clear(option);
 130 }
 131
 132 //_____________________________________________________________________________
 133 void AliFTrackMaker::Draw(Option_t *)
 134 {
 135 //    Dummy Draw
 136
 137 }
 138
 139 //_____________________________________________________________________________
 140 void AliFTrackMaker::Init()
 141 {
 142   //Create control histograms
 143   if(gAliFast->TestTrack() == 0){
 144
 145      fResID11 = new TH1D("ResID11","Elec: delta(1/pTotal)*pTotal",1000,-0.5,0.5);
 146      fResID12 = new TH1D("ResID12","Elec: delta(lambda)/lambda",1000,-0.01,0.01);
 147      fResID13 = new TH1D("ResID13","Elec: delta(phi)/phi",1000,-0.01,0.01);
 148
 149      fResID21 = new TH1D("ResID21","Pion: delta(1/pTotal)*pTotal",1000,-1.0,1.0);
 150      fResID22 = new TH1D("ResID22","Pion: delta(lambda)/lambda",1000,-1.0,1.0);
 151      fResID23 = new TH1D("ResID23","Pion: delta(phi)/phi",1000,-1.0,1.0);
 152
 153      fResID31 = new TH1D("ResID31","Kaon: delta(1/pTotal)*pTotal",1000,-1.0,1.0);
 154      fResID32 = new TH1D("ResID32","Kaon: delta(lambda)/lambda",1000,-1.0,1.0);
 155      fResID33 = new TH1D("ResID33","Kaon: delta(phi)/phi",1000,-1.0,1.0);
 156
 157      fResID41 = new TH1D("ResID41","Proton: delta(1/pTotal)*pTotal",1000,-1.0,1.0);
 158      fResID42 = new TH1D("ResID42","Proton: delta(lambda)/lambda",1000,-1.0,1.0);
 159      fResID43 = new TH1D("ResID43","Proton: delta(phi)/phi",1000,-1.0,1.0);
 160
 161   }
 162   //Create test histograms for TestJob only
 163   if(gAliFast->TestTrack() == 1){
 164      fResID1Test  = new TH1D("ResID1Test","histogram21 from res.f",1000,0.075,10.075);
 165      fResID2Test  = new TH1D("ResID2Test","histogram21 from res.f",1000,0.075,10.075);
 166      fResID3Test  = new TH1D("ResID3Test","histogram21 from res.f",1000,0.075,10.075);
 167      fResID4Test  = new TH1D("ResID4Test","histogram21 from res.f",1000,0.075,10.075);
 168      fResID5Test  = new TH1D("ResID5Test","histogram21 from res.f",1000,0.075,10.075);
 169   }
 170
 171   //Set particle masses
 172    SetPionMass();
 173    SetKaonMass();
 174    SetElectronMass();
 175    SetProtonMass();
 176
 177   //Switch on/off tracks reconstruction
 178    SetRecTrack();
 179
 180 }
 181
 182 //_____________________________________________________________________________
 183 // Calculate track and its resolution
 184 //_____________________________________________________________________________
 185 void AliFTrackMaker::Make()
 186 {
 187   Double_t v11, v22, v33, v12, v13, v23;
 188   Int_t iFlag;
 189
 190   fNTracks = 0;
 191
 192   // Check if it is a TestJob
 193   if(gAliFast->TestTrack() == 1){
 194      // Run test job
 195      MakeTest(10);
 196   }else{
 197      // Run production job
 198      // Get pointers to Particles arrays and TClonesArray
 199
 200      Int_t idPart, idTrack;
 201      Double_t  charge, pT, eta, phi;
 202      TParticle *part;
 203      Int_t  nparticles = gAlice->GetNtrack();
 204      printf("%10s%10d\n","nparticles",nparticles);
 205      for(Int_t ind=0;ind<nparticles;ind++) {
 206        part = gAlice->Particle(ind);
 207        idPart  = part->GetPdgCode();
 208        charge  = part->GetPDG()->Charge();
 209        pT      = part->Pt();
 210        eta     = part->Eta();
 211        phi     = part->Phi();
 212        printf("%10s%10d%20.5e%20.5e%20.5e%20.5e\n","Particle",idPart,charge,pT,eta,phi);
 213        // Check convention for tracks reconstruction
 214        idTrack = 0;
 215        if(TMath::Abs(idPart) ==   11)                 idTrack = 1;
 216        if(TMath::Abs(idPart) == 111 || TMath::Abs(idPart) == 211) idTrack = 2;
 217        if(TMath::Abs(idPart) == 311 || TMath::Abs(idPart) == 321) idTrack = 3;
 218        if(TMath::Abs(idPart) == 2212)                 idTrack = 4;
 219
 220        if(idTrack > 0 && fRecTrack > 0){
 221          // Check if track should be reconstructed
 222          if((fRecTrack == 1 && idTrack == 1) ||
 223             (fRecTrack == 2 && idTrack == 2) ||
 224             (fRecTrack == 3 && idTrack == 3) ||
 225             (fRecTrack == 4 && idTrack == 4) ||
 226             fRecTrack == 100 ) {
 227            // Tracks are  reconstructed
 228            ErrorMatrix(idTrack,pT,eta, v11, v22, v33, v12, v13, v23, iFlag);
 229
 230            // Calculate and smear track parameters
 231            Double_t lambda, cosLambda, pTotal,pInverse;
 232            Double_t pInverseSmea, lambdaSmea, phiSmea;
 233            Double_t a1, a2, a3, b2, b3, c3;
 234            Double_t rn1, rn2, rn3;
 235
 236            lambda    = kPiHalf -2.0*TMath::ATan(TMath::Exp(-eta));
 237            cosLambda = TMath::Cos(lambda);
 238            pTotal    = pT/cosLambda;
 239            pInverse  = 1.0/pTotal;
 240
 241            a1  = TMath::Sqrt(v11);
 242            if(a1 == 0.){
 243              a2 = 0;
 244              a3 = 0;
 245            }else{
 246              a2  = v12/a1;
 247              a3  = v13/a1;
 248            }
 249            b2  = TMath::Sqrt(v22-a2*a2);
 250            if(b2 == 0.){
 251              b3 = 0;
 252            }else{
 253              b3  = (v23 - a2*a3)/b2;
 254            }
 255            c3  = TMath::Sqrt(v33 - a3*a3 -b3*b3);
 256            rn1 = gRandom->Gaus(0,1);
 257            rn2 = gRandom->Gaus(0,1);
 258            rn3 = gRandom->Gaus(0,1);
 259
 260            pInverseSmea  = pInverse + a1*rn1;
 261            lambdaSmea    = lambda + a2*rn1 + b2*rn2;
 262            phiSmea       = phi + a3*rn1 + b3*rn2 + c3*rn3;
 263
 264            // Fill control histograms
 265            if(idTrack == 1){
 266              fResID11->Fill((pInverseSmea-pInverse)/pInverse);
 267              fResID12->Fill((lambdaSmea-lambda)/lambda);
 268              fResID13->Fill((phiSmea-phi)/phi);
 269            }
 270            else if(idTrack == 2){
 271              fResID21->Fill((pInverseSmea-pInverse)/pInverse);
 272              fResID22->Fill((lambdaSmea-lambda)/lambda);
 273              fResID23->Fill((phiSmea-phi)/phi);
 274            }
 275            else if(idTrack == 3){
 276              fResID31->Fill((pInverseSmea-pInverse)/pInverse);
 277              fResID32->Fill((lambdaSmea-lambda)/lambda);
 278              fResID33->Fill((phiSmea-phi)/phi);
 279            }
 280            else if(idTrack == 4){
 281              fResID41->Fill((pInverseSmea-pInverse)/pInverse);
 282              fResID42->Fill((lambdaSmea-lambda)/lambda);
 283              fResID43->Fill((phiSmea-phi)/phi);
 284            }
 285          }else{
 286            // Tracks are not reconstructed
 287            v11=0.;
 288            v12=0.;
 289            v13=0.;
 290            v22=0.;
 291            v23=0.;
 292            v33=0.;
 293            iFlag=0;
 294          }
 295          // Store resolution variables  to AliFTrack  ClonesArray
 296          AddTrack(idTrack, charge, pT, eta, phi, v11, v22, v33, v12, v13, v23, iFlag);
 297          printf("%10s%10d%20.5e%20.5e%20.5e%20.5e%20.5e%20.5e%20.5e%20.5e%20.5e%20.5e%10d\n",
 298               "Track",idTrack,charge,pT,eta,phi,v11, v22, v33, v12, v13, v23, iFlag);
 299        }
 300
 301      }
 302   }
 303 }
 304
 305 //_____________________________________________________________________________
 306 void AliFTrackMaker::Finish()
 307 {
 308   // For TestJob only
 309   if(gAliFast->TestTrack() == 1){
 310     /*
 311     // Draw test histograms
 312     TCanvas *c1 = new TCanvas("c1"," ",200,10,600,480);
 313     c1->Divide(2,3);
 314     c1->cd(1);   fResID1Test->Draw();
 315     c1->cd(2);   fResID2Test->Draw();
 316     c1->cd(3);   fResID3Test->Draw();
 317     c1->cd(4);   fResID4Test->Draw();
 318     c1->cd(5);   fResID5Test->Draw();
 319     c1->Update();
 320     // Store TestRes.eps file
 321     c1->Print("TestRes.eps");
 322     */
 323     // Store histograms on file
 324     TFile f2("TestRes.root","RECREATE","Test Res.f");
 325     fResID1Test->Write();
 326     fResID2Test->Write();
 327     fResID3Test->Write();
 328     fResID4Test->Write();
 329     fResID5Test->Write();
 330     f2.Close();
 331   }
 332 }
 333 //_____________________________________________________________________________
 334 void AliFTrackMaker::ErrorMatrix(Int_t idTrack, Double_t pT,  Double_t eta,
 335   Double_t &v11, Double_t &v22, Double_t &v33, Double_t &v12, Double_t &v13, Double_t &v23,
 336   Int_t &iFlag)
 337 {
 338   ///////////////////////////////////////////////
 339   //idTrack      track type            input   //
 340   //pT           transverse mom        input   //
 341   //lambda       deep angle            input   //
 342   //v11,v22,v23  error matrix          output  //
 343   //v12,v13,v23                        output  //
 344   //iFlag                              output  //
 345   ///////////////////////////////////////////////
 346
 347   AliFDet *detector = gAliFast->Detector();
 348   Int_t nDet = detector->NDet();
 349   Int_t nDetActive = detector->NDetActive();
 350   Int_t nTwice = nDetActive + nDetActive;
 351
 352   Double_t rTrack, rTrackInverse, pTotal, pInverse, diffPInverse;
 353   Double_t safety;
 354   Double_t cosLambda, tanLambda, diffLambda;
 355   Double_t rDet;
 356
 357   Double_t hh0[kNMaxDet2][kNMaxDet2], hhi0[kNMaxDet2][kNMaxDet2];
 358   Double_t hh1[kNMaxDet2][kNMaxDet2], hhi1[kNMaxDet2][kNMaxDet2];
 359   Double_t dhhiOverPInverse[kNMaxDet2][kNMaxDet2];
 360   Double_t dhhiOverLambda[kNMaxDet2][kNMaxDet2];
 361   Double_t a1[kNMaxDet2][kNMaxDet2], a2[kNMaxDet2][kNMaxDet2];
 362   Double_t a0PInverse[kNMaxDet2];
 363   Double_t a0Lambda[kNMaxDet2];
 364   Double_t a0Phi[kNMaxDet2];
 365
 366   Double_t vF11, vF12, vF13, vF22, vF23, vF33, d1, d2, d3, det;
 367   Int_t   idet, icyl, im, in;
 368   Double_t phiHalf;
 369   Double_t lambda;
 370
 371   lambda = kPiHalf -2.0*TMath::ATan(TMath::Exp(-eta));
 372   rTrack    = detector->ConstMag()*pT;
 373   safety    = 10.0;
 374   if(2.0*rTrack < (detector->RDet(nDet) + safety)){
 375       iFlag     = 0;
 376       v11 = 0;
 377       v22 = 0;
 378       v33 = 0;
 379       v12 = 0;
 380       v13 = 0;
 381       v23 = 0;
 382       return;
 383   }
 384   iFlag        = 1;
 385   cosLambda    = TMath::Cos(lambda);
 386   pTotal       = pT/cosLambda;
 387   pInverse     = 1.0/pTotal;
 388   diffPInverse = pInverse*1.0e-5;
 389   diffLambda   = 1.0e-4;
 390
 391   // Compute likelihood and derivatives
 392
 393   LogLikelyhood(idTrack, pInverse, lambda);
 394   for(icyl=1; icyl<nTwice+1; icyl++){
 395      for(im=1; im<nTwice+1; im++){
 396       hh0[icyl][im]  = HH(icyl,im);
 397       hhi0[icyl][im] = HHI(icyl,im);
 398      }
 399   }
 400   LogLikelyhood(idTrack, pInverse+diffPInverse,lambda);
 401   for(icyl=1; icyl<nTwice+1; icyl++){
 402      for(im=1; im<nTwice+1; im++){
 403       hh1[icyl][im]  = HH(icyl,im);
 404       hhi1[icyl][im] = HHI(icyl,im);
 405      }
 406   }
 407   for(icyl=1; icyl<nTwice+1; icyl++){
 408      for(im=1; im<icyl+1; im++){
 409         dhhiOverPInverse[icyl][im] = (hhi1[icyl][im]-hhi0[icyl][im])/diffPInverse;
 410      }
 411   }
 412   LogLikelyhood(idTrack, pInverse, lambda+diffLambda);
 413   for(icyl=1; icyl<nTwice+1; icyl++){
 414      for(im=1; im<nTwice+1; im++){
 415       hh1[icyl][im]  = HH(icyl,im);
 416       hhi1[icyl][im] = HHI(icyl,im);
 417      }
 418   }
 419   for(icyl=1; icyl<nTwice+1; icyl++){
 420      for(im=1; im<icyl+1; im++){
 421         dhhiOverLambda[icyl][im] = (hhi1[icyl][im]-hhi0[icyl][im])/diffLambda;
 422      }
 423   }
 424
 425   // Compute additional derivatives
 426   rTrackInverse = 1.0/rTrack;
 427   tanLambda    = TMath::Tan(lambda);
 428   icyl = 0;
 429   for(idet=1; idet<nDet+1;idet++){
 430      if(detector->IFlagDet(idet) > 0){
 431         icyl = icyl + 1;
 432         rDet = detector->RDet(idet);
 433         phiHalf = TMath::ASin(0.5*rDet*rTrackInverse);
 434         Double_t rHelp   = rDet /
 435                           (2.0 * TMath::Sqrt(1.0-(0.5 *rDet*rTrackInverse)*
 436                                                  (0.5 *rDet*rTrackInverse)));
 437         a0PInverse[icyl] = - rDet* rHelp
 438                            /(detector->ConstMag()*cosLambda);
 439         a0Lambda[icyl]   = - rDet* rHelp
 440                            * tanLambda * rTrackInverse;
 441         a0Phi[icyl]      =   rDet;
 442         a0PInverse[nDetActive+icyl] = 2.0 * tanLambda
 443                            *rTrack*(rHelp-rTrack*phiHalf)
 444                            /(detector->ConstMag()*cosLambda);
 445         a0Lambda[nDetActive+icyl]   = 2.0 * (  rHelp*tanLambda*tanLambda
 446                                              + rTrack*phiHalf);
 447         a0Phi[nDetActive+icyl] = 0.0 ;
 448     }
 449   }
 450
 451   // Compute information matrix
 452
 453     vF11=0.0;
 454     vF12=0.0;
 455     vF13=0.0;
 456     vF22=0.0;
 457     vF23=0.0;
 458     vF33=0.0;
 459     for(icyl=1; icyl<nTwice+1; icyl++){
 460        d1=0.0;
 461        d2=0.0;
 462        d3=0.0;
 463        for(im=1; im < icyl+1; im++){
 464           d1 = d1 + hhi0[icyl][im]*a0PInverse[im];
 465           d2 = d2 + hhi0[icyl][im]*a0Lambda[im];
 466           d3 = d3 + hhi0[icyl][im]*a0Phi[im];
 467        }
 468        vF11 =vF11 + d1*d1;
 469        vF12 =vF12 + d1*d2;
 470        vF13 =vF13 + d1*d3;
 471        vF22 =vF22 + d2*d2;
 472        vF23 =vF23 + d2*d3;
 473        vF33 =vF33 + d3*d3;
 474     }
 475     for(icyl=1; icyl<nTwice+1; icyl++){
 476        for(im=1; im<icyl+1; im++){
 477           a1[icyl][im] = 0;
 478           a2[icyl][im] = 0;
 479           for(in=im; in<icyl+1;in++){
 480              a1[icyl][im]=a1[icyl][im]+dhhiOverPInverse[icyl][in]*hh0[im][in];
 481              a2[icyl][im]=a2[icyl][im]+dhhiOverLambda[icyl][in]*hh0[im][in];
 482           }
 483           vF11=vF11+a1[icyl][im]*a1[icyl][im];
 484           vF12=vF12+a1[icyl][im]*a2[icyl][im];
 485           vF22=vF22+a2[icyl][im]*a2[icyl][im];
 486        }
 487        vF11=vF11+a1[icyl][icyl]*a1[icyl][icyl];
 488        vF12=vF12+a1[icyl][icyl]*a2[icyl][icyl];
 489        vF22=vF22+a2[icyl][icyl]*a2[icyl][icyl];
 490        }
 491
 492   // Invert information matrix
 493
 494     det=( vF11*vF22 - vF12*vF12 ) *vF33 + (vF12*vF23 - vF13*vF22)*vF13
 495                                         + (vF12*vF13 - vF11*vF23)*vF23;
 496
 497     v11 = (vF22*vF33 - vF23*vF23)/det;
 498     v22 = (vF11*vF33 - vF13*vF13)/det;
 499     v33 = (vF11*vF22 - vF12*vF12)/det;
 500     v12 = (vF13*vF23 - vF12*vF33)/det;
 501     v13 = (vF12*vF23 - vF13*vF22)/det;
 502     v23 = (vF12*vF13 - vF11*vF23)/det;
 503
 504     }
 505 //_____________________________________________________________________________//
 506 void AliFTrackMaker::LogLikelyhood(Int_t idTrack, Double_t pInverse,Double_t lambda)
 507 {
 508   ///////////////////////////////////////////////
 509   //hh           ??                    output  //
 510   //hhi          ??                    output  //
 511   //idTrack       track type           input   //
 512   //pInverse      inverse  momentum    input   //
 513   //lambda       polar angle of track  input   //
 514   ///////////////////////////////////////////////
 515
 516
 517   AliFDet *detector = gAliFast->Detector();
 518   Int_t nDet = detector->NDet();
 519   Int_t nDetActive = detector->NDetActive();
 520   Int_t nTwice = nDetActive + nDetActive;
 521
 522   Double_t    rDet, rDetSQ;
 523   Int_t      idet, icyl, im, imc;
 524   Double_t    cosLambda, tanLambda, pTotal, pT, rTrack, rTrackSQ;
 525   Double_t    beta, overPBeta, rTrackInv, thickCorr, temp1, temp2;
 526   Double_t    partMassSQ;
 527   Double_t    aShelp[kNMaxDet2], dShelp[kNMaxDet2];
 528   Double_t    projXVXT[kNMaxDet2],projYVXT[kNMaxDet2], projZVXT[kNMaxDet2];
 529   Double_t    proj[kNMaxDet2][kNMaxDet2];
 530   Double_t    erroScatt[kNMaxDet2], variance[kNMaxDet2][kNMaxDet2];
 531   Double_t    erroSQ[kNMaxDet2];
 532   Double_t    hh[kNMaxDet2][kNMaxDet2];
 533   Double_t    hhi[kNMaxDet2][kNMaxDet2];
 534   Double_t    errorVX, errorVY, errorVZ;
 535
 536   cosLambda = TMath::Cos(lambda);
 537   tanLambda = TMath::Tan(lambda);
 538   pTotal    = 1.0/pInverse;
 539   pT        = pTotal * cosLambda;
 540   rTrack    = detector->ConstMag() * pTotal * cosLambda;
 541   rTrackSQ  = rTrack * rTrack;
 542   partMassSQ= ParticleMass(idTrack)*ParticleMass(idTrack);
 543   beta      = pTotal / TMath::Sqrt(partMassSQ+pTotal*pTotal);
 544   overPBeta = 1./(pTotal*beta);
 545   rTrackInv = 1./rTrack;
 546   errorVX   = detector->ErrorVertexX();
 547   errorVY   = detector->ErrorVertexY();
 548   errorVZ   = detector->ErrorVertexZ();
 549
 550
 551   erroScatt[0]=0.0;
 552   erroScatt[1]=0.0;
 553   for(idet=1; idet < nDet; idet++){
 554      thickCorr = detector->ThickDet(idet)/TMath::Sqrt(cosLambda*
 555                  TMath::Sqrt(1.0-0.25*(detector->RDetSQ(idet)/rTrackSQ)));
 556      if(detector->IFlagGas(idet) == 0){
 557          thickCorr = thickCorr * (1.3266 + 0.076 * TMath::Log(thickCorr));}
 558      thickCorr = overPBeta * thickCorr;
 559      erroScatt[idet+1]=thickCorr*thickCorr;
 560   }
 561
 562
 563   icyl = 0;
 564   for(idet=1; idet<nDet+1; idet++){
 565     rDet   = detector->RDet(idet);
 566     rDetSQ = rDet*rDet;
 567     dShelp[idet] = TMath::Sqrt(4.0*rTrackSQ-rDetSQ);
 568     aShelp[idet] = TMath::ASin(rDet/(rTrack+rTrack));
 569     if(detector->IFlagDet(idet) > 0) {
 570        icyl = icyl + 1;
 571        projXVXT[icyl] = rDet * rTrackInv;
 572        projXVXT[nDetActive+icyl] = -tanLambda;
 573        temp1 = (rTrackSQ + rTrackSQ - rDetSQ)/dShelp[idet];
 574        temp2 = rDet/dShelp[idet];
 575        projYVXT[icyl] = temp1*rTrackInv;
 576        projYVXT[nDetActive+icyl] = tanLambda * temp2;
 577        projZVXT[icyl] = 0.0;
 578        projZVXT[nDetActive+icyl] = 1.0;
 579        proj[icyl][1] = 0.0;
 580        proj[nDetActive+icyl][0] = 0.0;
 581        proj[nDetActive+icyl][nDet] = 0.0;
 582        proj[icyl][nDet] = 0.0;
 583        for(im=2; im<idet+1; im++){
 584           proj[icyl][im]= (( rDet
 585                            *(rTrackSQ+rTrackSQ-detector->RDetSQ(im-1))
 586                            - detector->RDet(im-1)*temp1*dShelp[im-1])
 587                          /((rTrackSQ + rTrackSQ)*cosLambda));
 588           proj[nDetActive+icyl][im]= 0.5 * detector->RDet(im-1)
 589                                    * rTrackInv
 590                                    * tanLambda * (detector->RDet(im-1)
 591                                    - dShelp[im-1]*temp2)/cosLambda;
 592           proj[nDetActive+icyl][nDet+im]= (rTrack+rTrack) * (aShelp[idet] - aShelp[im-1])
 593              + ( rDet*dShelp[im-1]-detector->RDet(im-1)*dShelp[idet])
 594              *  dShelp[im-1] * tanLambda * tanLambda
 595                / (dShelp[idet] * (rTrack+rTrack));
 596           proj[icyl][nDet+im]= tanLambda
 597                         *  (rDet*detector->RDet(im-1)*dShelp[im-1]
 598                         / (rTrackSQ+rTrackSQ)
 599                         - (rDetSQ + detector->RDetSQ(im-1)
 600                         -  rDetSQ * detector->RDetSQ(im-1)
 601                         / (rTrackSQ+rTrackSQ))
 602                         / dShelp[idet]);
 603        }
 604        for(im=idet+1; im < nDet+1; im++){
 605           proj[icyl][im] = 0.0;
 606           proj[nDetActive+icyl][im] = 0.0;
 607           proj[nDetActive+icyl][nDet+im] = 0.0;
 608           proj[icyl][nDet+im] = 0.0;
 609        }
 610        if(detector->IFlagDet(idet) == 1){
 611           erroSQ[icyl] = detector->ErrorRPhi(idet);
 612           erroSQ[nDetActive+icyl] = detector->ErrorZ(idet);
 613        }else{
 614           TPCResolution(pT, rDet, lambda);
 615           erroSQ[icyl]            = SigmaRPhiSQ();
 616           erroSQ[nDetActive+icyl] = SigmaZSQ();
 617        }
 618        erroSQ[icyl] = erroSQ[icyl] + detector->ErrorR(idet)*temp2*temp2;
 619        erroSQ[nDetActive+icyl] =  erroSQ[nDetActive+icyl]
 620                                 + detector->ErrorR(idet)*tanLambda*tanLambda;
 621     }
 622   }
 623     for(icyl=1; icyl<nTwice+1; icyl++){
 624       for(im=1; im<icyl+1; im++){
 625           variance[icyl][im]=
 626                projXVXT[icyl]*projXVXT[im]*errorVX
 627               +projYVXT[icyl]*projYVXT[im]*errorVY
 628               +projZVXT[icyl]*projZVXT[im]*errorVZ;
 629           for(imc=1; imc<nDet+1; imc++){
 630              variance[icyl][im]=variance[icyl][im]
 631                     +(proj[icyl][imc]*proj[im][imc]
 632                     + proj[icyl][nDet+imc]*proj[im][nDet+imc])
 633                     * erroScatt[imc];
 634           }
 635       }
 636       variance[icyl][icyl] = variance[icyl][icyl]+erroSQ[icyl];
 637     }
 638
 639     for(icyl=1; icyl<nTwice+1; icyl++){
 640       for(im=icyl; im<nTwice+1; im++){
 641           hh[icyl][im]=variance[im][icyl];
 642           for(imc=1; imc<icyl;imc++){
 643                hh[icyl][im]=hh[icyl][im]-hh[imc][icyl]*hh[imc][im];
 644             }
 645             if(im == icyl){
 646                hh[icyl][im] = TMath::Sqrt(hh[icyl][im]);
 647             }  else {
 648                hh[icyl][im] = hh[icyl][im]/hh[icyl][icyl];
 649             }
 650           }
 651     }
 652
 653     for(icyl=1; icyl<nTwice+1; icyl++){
 654         hhi[icyl][icyl] = 1.0 / hh[icyl][icyl];
 655         for(im=1; im<icyl; im++){
 656            hhi[icyl][im] = 0.0;
 657            for(imc=im; imc<icyl; imc++){
 658               hhi[icyl][im] = hhi[icyl][im]-hh[imc][icyl]*hhi[imc][im];
 659            }
 660            hhi[icyl][im] = hhi[icyl][im]*hhi[icyl][icyl];
 661        }
 662     }
 663
 664     for(icyl=1; icyl<nTwice+1; icyl++){
 665       for(im=1; im<nTwice+1; im++){
 666           SetHH(icyl,im,hh[icyl][im]);
 667           SetHHI(icyl,im,hhi[icyl][im]);
 668       }
 669     }
 670
 671
 672 }
 673 //_____________________________________________________________________________
 674 // translation of routine tpc_resolution of res.f
 675 //_____________________________________________________________________________
 676 void AliFTrackMaker::TPCResolution(Double_t pTransv, Double_t radiPad, Double_t lambda)
 677 {
 678   ///////////////////////////////////////////////
 679   //sigmaRPhiSQ  resolution in r-phi   output  //
 680   //sigmaZSQ     resolution in z       output  //
 681   //pTransv      transverse momentum   input   //
 682   //radiPad      radius of pad row     input   //
 683   //lambda       polar angle of track  input   //
 684   //
 685   //units: cm, GeV/c, radian                   //
 686   //parametrisation of TPC resolution          //
 687   //version of 03.07.1995                      //
 688   //source: Marek Kowalski, Karel Safarik      //
 689   ///////////////////////////////////////////////
 690
 691   Double_t aRCoeff=0.41818e-2;
 692   Double_t bRCoeff=0.17460e-4;
 693   Double_t cRCoeff=0.30993e-8;
 694   Double_t dRCoeff=0.41061e-6;
 695   Double_t aZCoeff=0.39610e-2;
 696   Double_t bZCoeff=0.22443e-4;
 697   Double_t cZCoeff=0.51504e-1;
 698
 699   Double_t sigmaRPhiSQ;
 700   Double_t sigmaZSQ;
 701
 702   sigmaRPhiSQ = aRCoeff - bRCoeff * radiPad * TMath::Tan(lambda)+
 703                (cRCoeff * (radiPad/pTransv) + dRCoeff) * radiPad/pTransv;
 704
 705   sigmaZSQ    = aZCoeff - bZCoeff * radiPad * TMath::Tan(lambda)+
 706                 cZCoeff * TMath::Tan(lambda)*TMath::Tan(lambda);
 707
 708   if(sigmaRPhiSQ < 1.0e-6 ) sigmaRPhiSQ = 1.0e-6;
 709   if(sigmaZSQ    < 1.0e-6 ) sigmaZSQ    = 1.0e-6;
 710
 711   sigmaRPhiSQ =   (TMath::Sqrt(sigmaRPhiSQ) + 0.005)
 712                 * (TMath::Sqrt(sigmaRPhiSQ) + 0.005);
 713   sigmaZSQ    =   (TMath::Sqrt(sigmaZSQ)    + 0.005)
 714                 * (TMath::Sqrt(sigmaZSQ)    + 0.005);
 715
 716   SetSigmaRPhiSQ(sigmaRPhiSQ);
 717   SetSigmaZSQ(sigmaZSQ);
 718
 719
 720 }
 721
 722 //_____________________________________________________________________________
 723 // returns the mass given particle ID
 724 //-----------------------------------------------------------------------------
 725 Double_t AliFTrackMaker::ParticleMass(Int_t idTrack)
 726 {
 727   Double_t mass = 0.0;
 728
 729        if(idTrack == 2){ mass = fPionMass;}
 730   else if(idTrack == 3){ mass = fKaonMass;}
 731   else if(idTrack == 1) {mass = fElectronMass;}
 732   else if(idTrack == 4) {mass = fProtonMass;}
 733
 734   return mass;
 735
 736 }
 737
 738 //_____________________________________________________________________________
 739 // returns the rapidity given particle pT, pz
 740 //-----------------------------------------------------------------------------
 741 Double_t AliFTrackMaker::Rapidity(Double_t pt, Double_t pz)
 742 {
 743 //   Compute rapidity
 744
 745    Double_t etalog = TMath::Log((TMath::Sqrt(pt*pt + pz*pz) + TMath::Abs(pz))/pt);
 746    if (pz < 0 ) return -TMath::Abs(etalog);
 747    else         return  TMath::Abs(etalog);
 748 }
 749
 750 //_____________________________________________________________________________
 751 // returns the phi angle given particle px, py
 752 //-----------------------------------------------------------------------------
 753 Double_t AliFTrackMaker::Angle(Double_t x, Double_t y)
 754 {
 755 //   Compute phi angle of particle
 756 // ... this is a copy of function ULANGL
 757 //  .. sign(a,b) = -abs(a) if b <  0
 758 //               =  abs(a) if b >= 0
 759
 760    Double_t angle = 0;
 761    Double_t r = TMath::Sqrt(x*x + y*y);
 762    if (r < 1e-20) return angle;
 763    if (TMath::Abs(x)/r < 0.8) {
 764       angle = TMath::Sign((Double_t)TMath::Abs(TMath::ACos(x/r)), y);
 765    } else {
 766       angle = TMath::ASin(y/r);
 767       if (x < 0 ) {
 768          if(angle >= 0) angle =  kPi - angle;
 769          else           angle = -kPi - angle;
 770       }
 771    }
 772    return angle;
 773 }
 774 //_____________________________________________________________________________
 775 Int_t AliFTrackMaker::Charge(Int_t kf)
 776 {
 777 //...this is copy of function LUCHGE
 778 //...Purpose: to give three times the charge for a particle/parton.
 779
 780   static Int_t kchg[500] = { -1,2,-1,2,-1,2,-1,2,0,0,-3,0,-3,0,-3,0,-3,0,
 781         0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,3,0,-1,0,0,0,0,0,0,0,0,0,0,0,
 782        0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 783        2,-1,2,-1,2,3,0,0,0,0,0,0,0,0,0,0,0,3,0,3,3,0,3,0,3,0,3,0,0,0,0,0,
 784        0,0,0,0,0,3,0,3,3,0,3,0,3,0,3,0,0,0,0,0,0,0,0,0,0,3,0,3,3,0,3,0,3,
 785        0,3,0,0,0,0,0,0,0,0,0,0,3,0,3,3,0,3,0,3,0,3,0,0,0,0,0,0,0,0,0,0,3,
 786        0,3,3,0,3,0,3,0,3,0,0,0,0,0,0,0,0,0,0,3,0,3,3,0,3,0,3,0,3,0,0,0,0,
 787        0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 788        0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 789        3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,
 790        0,3,0,0,0,0,0,0,0,0,-3,0,0,0,0,0,0,0,0,3,0,-3,0,3,-3,0,0,0,3,6,0,
 791        3,0,0,0,0,0,-3,0,3,-3,0,-3,0,0,0,0,-3,0,3,6,-3,0,3,-3,0,-3,0,3,6,
 792        0,3,0,0,0,0,0,-3,0,3,-3,0,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 793        0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 794        0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 795        0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
 796
 797 //    extern integer kfcomp_(integer *);
 798   Int_t ipower;
 799   Int_t ret = 0;
 800   Int_t kfa = TMath::Abs(kf);
 801   Int_t kc  = Compress(kfa);
 802
 803 //...Initial values. Simple case of direct readout.
 804   if (kc == 0) {
 805   } else if (kfa <= 100 || kc <= 80 || kc > 100) {
 806      ret = kchg[kc-1];
 807
 808 // ...Construction from quark content for heavy meson, diquark, baryon.
 809   } else if (kfa/1000 % 10 == 0) {
 810         ipower = kfa/100 % 10;
 811         ret = (kchg[kfa / 100 % 10 - 1] - kchg[kfa/10 % 10 - 1])*Int_t(TMath::Power(-1, ipower));
 812   } else if (kfa / 10 % 10 == 0) {
 813         ret = kchg[kfa/1000 % 10 - 1] + kchg[kfa/100 % 10 - 1];
 814   } else {
 815         ret = kchg[kfa/1000 % 10 - 1] + kchg[kfa/100 % 10 - 1] + kchg[kfa/10 % 10 - 1];
 816   }
 817
 818 // ...Add on correct sign.
 819   if (kf > 0) return ret;
 820   else        return -ret;
 821 }
 822 //_____________________________________________________________________________
 823 Int_t AliFTrackMaker::Compress(Int_t kf)
 824 {
 825 //...this is copy of function LUCOMP
 826 //...Purpose: to compress the standard KF codes for use in mass and decay
 827 //...arrays; also to check whether a given code actually is defined.
 828 //     from BLOCK LUDATA
 829   static Int_t  kchg[500] = { 1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,
 830         0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 831         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,
 832         1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,
 833         1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,
 834         0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,
 835         1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,
 836         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 837         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,
 838         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,
 839         0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,
 840         1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,
 841         1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 842         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 843         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 844         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
 845   static Int_t kftab[25] = { 211,111,221,311,321,130,310,213,113,223,313,
 846             323,2112,2212,210,2110,2210,110,220,330,440,30443,30553,0,0 };
 847   static Int_t kctab[25] = { 101,111,112,102,103,221,222,121,131,132,122,
 848             123,332,333,281,282,283,284,285,286,287,231,235,0,0 };
 849
 850   Int_t ret = 0;
 851   Int_t kfla, kflb, kflc, kflr, kfls, kfa, ikf;
 852
 853   kfa = TMath::Abs(kf);
 854 //...Simple cases: direct translation or table.
 855   if (kfa == 0 || kfa >= 100000) {
 856      return ret;
 857   } else if (kfa <= 100) {
 858      ret = kfa;
 859      if (kf < 0 && kchg[kfa - 1] == 0)  ret = 0;
 860      return ret;
 861   } else {
 862      for (ikf = 1; ikf <= 23; ++ikf) {
 863         if (kfa == kftab[ikf-1]) {
 864            ret = kctab[ikf-1];
 865            if (kf < 0 && kchg[ret-1] == 0)  ret = 0;
 866            return ret;
 867         }
 868      }
 869   }
 870 // ...Subdivide KF code into constituent pieces.
 871   kfla = kfa / 1000%10;
 872   kflb = kfa / 100%10;
 873   kflc = kfa / 10%10;
 874   kfls = kfa%10;
 875   kflr = kfa / 10000%10;
 876 // ...Mesons.
 877   if (kfa - kflr*10000 < 1000) {
 878      if (kflb == 0 || kflb == 9 || kflc == 0 || kflc == 9) {
 879      } else if (kflb < kflc) {
 880      } else if (kf < 0 && kflb == kflc) {
 881      } else if (kflb == kflc) {
 882         if (kflr == 0 && kfls == 1) {        ret = kflb + 110;
 883         } else if (kflr == 0 && kfls == 3) { ret = kflb + 130;
 884         } else if (kflr == 1 && kfls == 3) { ret = kflb + 150;
 885         } else if (kflr == 1 && kfls == 1) { ret = kflb + 170;
 886         } else if (kflr == 2 && kfls == 3) { ret = kflb + 190;
 887         } else if (kflr == 0 && kfls == 5) { ret = kflb + 210;
 888         }
 889      } else if (kflb <= 5) {
 890         if (kflr == 0 && kfls == 1) {        ret = (kflb-1)*(kflb-2)/2 + 100 + kflc;
 891         } else if (kflr == 0 && kfls == 3) { ret = (kflb-1)*(kflb-2)/2 + 120 + kflc;
 892         } else if (kflr == 1 && kfls == 3) { ret = (kflb-1)*(kflb-2)/2 + 140 + kflc;
 893         } else if (kflr == 1 && kfls == 1) { ret = (kflb-1)*(kflb-2)/2 + 160 + kflc;
 894         } else if (kflr == 2 && kfls == 3) { ret = (kflb-1)*(kflb-2)/2 + 180 + kflc;
 895         } else if (kflr == 0 && kfls == 5) { ret = (kflb-1)*(kflb-2)/2 + 200 + kflc;
 896         }
 897      } else if (kfls == 1 && kflr <= 1 || kfls == 3 && kflr <= 2 || kfls == 5 && kflr == 0) {
 898         ret = kflb + 80;
 899      }
 900 // ...Diquarks.
 901   } else if ((kflr == 0 || kflr == 1) && kflc == 0) {
 902      if (kfls != 1 && kfls != 3) {
 903      } else if (kfla == 9 || kflb == 0 || kflb == 9) {
 904      } else if (kfla < kflb) {
 905      } else if (kfls == 1 && kfla == kflb) {
 906      } else { ret = 90;
 907      }
 908 // ...Spin 1/2 baryons.
 909   } else if (kflr == 0 && kfls == 2) {
 910      if (kfla == 9 || kflb == 0 || kflb == 9 || kflc == 9) {
 911      } else if (kfla <= kflc || kfla < kflb) {
 912      } else if (kfla >= 6 || kflb >= 4 || kflc >= 4) {
 913          ret = kfla + 80;
 914      } else if (kflb < kflc) {
 915          ret = (kfla+1)*kfla*(kfla-1)/6 + 300 + kflc*(kflc-1)/2 + kflb;
 916      } else {
 917          ret = (kfla+1)*kfla*(kfla-1)/6 + 330 + kflb*(kflb-1)/2 + kflc;
 918      }
 919 // ...Spin 3/2 baryons.
 920   } else if (kflr == 0 && kfls == 4) {
 921      if (kfla == 9 || kflb == 0 || kflb == 9 || kflc == 9) {
 922      } else if (kfla < kflb || kflb < kflc) {
 923      } else if (kfla >= 6 || kflb >= 4) {
 924          ret = kfla + 80;
 925      } else {
 926          ret = (kfla+1)*kfla*(kfla-1) / 6 + 360 + kflb*(kflb -1) / 2 + kflc;
 927      }
 928   }
 929     return ret;
 930 }
 931
 932 //_____________________________________________________________________________
 933 // TEST JOB: Calculate tracks resolution
 934 //_____________________________________________________________________________
 935 void AliFTrackMaker::MakeTest(Int_t n)
 936 {
 937   Double_t v11, v22, v33, v12, v13, v23;
 938   Int_t iFlag;
 939   Int_t idTrack;
 940   Double_t  pTStart, pT, eta;
 941
 942   Double_t sumDPop,sumDDip,sumDPhi;
 943   Double_t isum,fm;
 944   Double_t pTotal,partMassSQ,beta,lambda;
 945   Double_t dPop,dLop,dDip,dPhi,rho12,rho13,rho23;
 946   Double_t dPPStrag,dPPTot=0;
 947   //  Double_t resol1[1001][11],resol2[10001][11],resol3[1001][11],
 948   //           resol4[1001][11],resol5[10001][11]
 949   Double_t store1[1001],store2[10001],store3[1001],
 950            store4[1001],store5[10001];
 951
 952
 953   idTrack  = 2;
 954   pTStart = 0.07;
 955   for(Int_t istep=1; istep<n; istep++){
 956       if(istep < 100 && istep >  20) istep = istep -1 +  5;
 957       if(istep < 500 && istep > 100) istep = istep -1 + 25;
 958       if(istep <1000 && istep > 500) istep = istep -1 + 100;
 959       pT = pTStart + 0.01*istep;
 960       eta = - 0.044;
 961       sumDPop = 0;
 962       sumDDip = 0;
 963       sumDPhi = 0;
 964       isum    = 0;
 965       for(Int_t in=1; in<11; in++){
 966          eta    = eta + 0.088;
 967          lambda = kPiHalf -2.0*TMath::ATan(TMath::Exp(-eta));
 968          pTotal = pT / TMath::Cos(lambda);
 969          if(idTrack == 1){
 970            dPPStrag = 0.055 /pT;}
 971          else{
 972            partMassSQ = ParticleMass(idTrack)*ParticleMass(idTrack);
 973            beta       = pTotal/ TMath::Sqrt(pTotal*pTotal + partMassSQ);
 974            dPPStrag   = 0.04/(pT*TMath::Power(beta,2.6666666667));
 975          }
 976          ErrorMatrix(idTrack,pT,eta, v11, v22, v33, v12, v13, v23, iFlag);
 977          if(iFlag == 1){
 978             dLop   = TMath::Sqrt(v11);
 979             dDip   = TMath::Sqrt(v22);
 980             dPhi   = TMath::Sqrt(v33);
 981             rho12  = v12/(dLop*dDip);
 982             rho13  = v13/(dLop*dPhi);
 983             rho23  = v23/(dDip*dPhi);
 984             dPop   = 100. *dLop * pTotal;
 985             dDip   = 1000. * dDip;
 986             dPhi   = 1000. * dPhi;
 987             dPPTot = TMath::Sqrt(dPop*dPop + dPPStrag*dPPStrag);
 988             //            resol1[istep][in] = dPop;
 989             //            resol2[istep][in] = dDip;
 990             //            resol3[istep][in] = dPhi;
 991             //            resol4[istep][in] = dPPTot;
 992             //            resol5[istep][in] = dPPStrag;
 993             sumDPop = sumDPop + dPop;
 994             sumDDip = sumDDip + dDip;
 995             sumDPhi = sumDPhi + dPhi;
 996             isum    = isum + 1;}
 997          else{
 998             printf("%20s %10.5f %10.5f %20s\n","pT,eta",pT,eta,"cannot smear");
 999          }
1000        }
1001        if(isum > 0){
1002          dPop   = sumDPop/isum;
1003          dDip   = sumDDip/isum;
1004          dPhi   = sumDPhi/isum;
1005          dPPTot = TMath::Sqrt(dPop*dPop + dPPStrag*dPPStrag);}
1006        else{
1007          dPop   = 0;
1008          dDip   = 0;
1009          dPhi   = 0;
1010        }
1011        store1[istep] = dPop;
1012        store2[istep] = dDip;
1013        store3[istep] = dPhi;
1014        store4[istep] = dPPTot;
1015        store5[istep] = dPPStrag;
1016        if(istep > 20 ){
1017           Int_t im = 5;
1018           if(istep > 100) {im =  25;}
1019           if(istep > 500) {im = 100;}
1020           fm = 1./(1.*im);
1021           for(Int_t ist=1; ist<im; ist++){
1022               //               for(Int_t in=1; in < 11; in++){
1023               //                   resol1[istep-im+ist][in] = resol1[istep-im][in]+
1024               //                         ist*fm*(resol1[istep][in]-resol1[istep-im][in]);
1025               //                   resol2[istep-im+ist][in] = resol2[istep-im][in]+
1026               //                         ist*fm*(resol2[istep][in]-resol2[istep-im][in]);
1027               //                   resol3[istep-im+ist][in] = resol3[istep-im][in]+
1028               //                         ist*fm*(resol3[istep][in]-resol3[istep-im][in]);
1029               //                   resol4[istep-im+ist][in] = resol4[istep-im][in]+
1030               //                         ist*fm*(resol4[istep][in]-resol4[istep-im][in]);
1031               //                   resol5[istep-im+ist][in] = resol5[istep-im][in]+
1032               //                         ist*fm*(resol5[istep][in]-resol5[istep-im][in]);
1033               //             }
1034             store1[istep-im+ist]=store1[istep-im]+
1035                                  ist*fm*(store1[istep]-store1[istep-im]);
1036             store2[istep-im+ist]=store2[istep-im]+
1037                                  ist*fm*(store2[istep]-store2[istep-im]);
1038             store3[istep-im+ist]=store3[istep-im]+
1039                                  ist*fm*(store3[istep]-store3[istep-im]);
1040             store4[istep-im+ist]=store4[istep-im]+
1041                                  ist*fm*(store4[istep]-store4[istep-im]);
1042             store5[istep-im+ist]=store5[istep-im]+
1043                                  ist*fm*(store5[istep]-store5[istep-im]);
1044             // Fill control histograms
1045             fResID1Test->Fill(pTStart + 0.01*(istep-im+ist),store1[istep-im+ist]);
1046             fResID2Test->Fill(pTStart + 0.01*(istep-im+ist),store2[istep-im+ist]);
1047             fResID3Test->Fill(pTStart + 0.01*(istep-im+ist),store3[istep-im+ist]);
1048             fResID4Test->Fill(pTStart + 0.01*(istep-im+ist),store4[istep-im+ist]);
1049             fResID5Test->Fill(pTStart + 0.01*(istep-im+ist),store5[istep-im+ist]);
1050           }
1051           printf("%10s %10d %20.15f %20.15f %20.15f %20.15f %20.15f \n",
1052                        "TestTrack:",istep,store1[istep],store2[istep],store3[istep],
1053                                     store4[istep],store5[istep]);
1054        } else {
1055           printf("%10s %10d %20.15f %20.15f %20.15f %20.15f %20.15f \n",
1056                        "TestTrack:",istep,store1[istep],store2[istep],store3[istep],
1057                                     store4[istep],store5[istep]);
1058           fResID1Test->Fill(pT,store1[istep]);
1059           fResID2Test->Fill(pT,store2[istep]);
1060           fResID3Test->Fill(pT,store3[istep]);
1061           fResID4Test->Fill(pT,store4[istep]);
1062           fResID5Test->Fill(pT,store5[istep]);
1063        }
1064   }
1065 }
1066 //_____________________________________________________________________________