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 <TFile.h>
  49 #include <TH1.h>
  50 #include <TMath.h>
  51 #include <TParticle.h>
  52 #include <TRandom.h>
  53
  54 #include "AliFDet.h"
  55 #include "AliFTrack.h"
  56 #include "AliFTrackMaker.h"
  57 #include "AliFast.h"
  58 #include "AliMC.h"
  59
  60 static const Double_t kPi       = TMath::Pi();
  61 static const Double_t k2Pi      = 2*kPi;
  62 static const Double_t kPiHalf   = kPi/2.;
  63 extern  AliFast * gAliFast;
  64 ClassImp(AliFTrackMaker)
  65
  66 //_____________________________________________________________________________
  67 AliFTrackMaker::AliFTrackMaker()
  68 {
  69   //
  70   // Default constructor
  71   //
  72   fNTracks = 0;
  73   fResID1Test = 0;
  74   fResID2Test = 0;
  75   fResID3Test = 0;
  76   fResID4Test = 0;
  77   fResID5Test = 0;
  78 }
  79
  80 //_____________________________________________________________________________
  81 AliFTrackMaker::AliFTrackMaker(const char *name, const char *title)
  82                  :AliFMaker(name,title)
  83 {
  84   //
  85   // Standard 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(const AliFTrackMaker& aftmk):
  96   AliFMaker(aftmk)
  97 {
  98   //
  99   // Copy constructor for AliRun
 100   //
 101   aftmk.Copy(*this);
 102 }
 103
 104 //_____________________________________________________________________________
 105 AliFTrackMaker::~AliFTrackMaker()
 106 {
 107   //
 108   // Dummy constructor
 109   //
 110 }
 111
 112 //_____________________________________________________________________________
 113 AliFTrack *AliFTrackMaker::AddTrack(Int_t code, Double_t charge,
 114                                     Double_t pT, Double_t eta,Double_t phi,
 115                                     Double_t v11, Double_t v22, Double_t v33,
 116                                     Double_t v12, Double_t v13, Double_t v23, Int_t iFlag)
 117 {
 118 //            Add a new track to the list of tracks
 119
 120  //Note the use of the "new with placement" to create a new track object.
 121  //This complex "new" works in the following way:
 122  //   tracks[i] is the value of the pointer for track number i in the TClonesArray
 123  //   if it is zero, then a new track must be generated. This typically
 124  //   will happen only at the first events
 125  //   If it is not zero, then the already existing object is overwritten
 126  //   by the new track parameters.
 127  // This technique should save a huge amount of time otherwise spent
 128  // in the operators new and delete.
 129
 130    TClonesArray &tracks = *(TClonesArray*)fFruits;
 131    return new(tracks[fNTracks++]) AliFTrack(code,charge,pT,eta,phi,
 132                                   v11, v22, v33, v12, v13, v23, iFlag);
 133 }
 134
 135 //_____________________________________________________________________________
 136 void AliFTrackMaker::Clear(Option_t *option)
 137 {
 138    //Reset Track Maker
 139
 140    fNTracks = 0;
 141    AliFMaker::Clear(option);
 142 }
 143
 144 //_____________________________________________________________________________
 145 void AliFTrackMaker::Draw(Option_t *)
 146 {
 147 //    Dummy Draw
 148
 149 }
 150
 151 //_____________________________________________________________________________
 152 void AliFTrackMaker::Init()
 153 {
 154   //Create control histograms
 155   if(gAliFast->TestTrack() == 0){
 156
 157      fResID11 = new TH1D("ResID11","Elec: delta(1/pTotal)*pTotal",1000,-0.5,0.5);
 158      fResID12 = new TH1D("ResID12","Elec: delta(lambda)/lambda",1000,-0.01,0.01);
 159      fResID13 = new TH1D("ResID13","Elec: delta(phi)/phi",1000,-0.01,0.01);
 160
 161      fResID21 = new TH1D("ResID21","Pion: delta(1/pTotal)*pTotal",1000,-1.0,1.0);
 162      fResID22 = new TH1D("ResID22","Pion: delta(lambda)/lambda",1000,-1.0,1.0);
 163      fResID23 = new TH1D("ResID23","Pion: delta(phi)/phi",1000,-1.0,1.0);
 164
 165      fResID31 = new TH1D("ResID31","Kaon: delta(1/pTotal)*pTotal",1000,-1.0,1.0);
 166      fResID32 = new TH1D("ResID32","Kaon: delta(lambda)/lambda",1000,-1.0,1.0);
 167      fResID33 = new TH1D("ResID33","Kaon: delta(phi)/phi",1000,-1.0,1.0);
 168
 169      fResID41 = new TH1D("ResID41","Proton: delta(1/pTotal)*pTotal",1000,-1.0,1.0);
 170      fResID42 = new TH1D("ResID42","Proton: delta(lambda)/lambda",1000,-1.0,1.0);
 171      fResID43 = new TH1D("ResID43","Proton: delta(phi)/phi",1000,-1.0,1.0);
 172
 173   }
 174   //Create test histograms for TestJob only
 175   if(gAliFast->TestTrack() == 1){
 176      fResID1Test  = new TH1D("ResID1Test","histogram21 from res.f",1000,0.075,10.075);
 177      fResID2Test  = new TH1D("ResID2Test","histogram21 from res.f",1000,0.075,10.075);
 178      fResID3Test  = new TH1D("ResID3Test","histogram21 from res.f",1000,0.075,10.075);
 179      fResID4Test  = new TH1D("ResID4Test","histogram21 from res.f",1000,0.075,10.075);
 180      fResID5Test  = new TH1D("ResID5Test","histogram21 from res.f",1000,0.075,10.075);
 181   }
 182
 183   //Set particle masses
 184    SetPionMass();
 185    SetKaonMass();
 186    SetElectronMass();
 187    SetProtonMass();
 188
 189   //Switch on/off tracks reconstruction
 190    SetRecTrack();
 191
 192 }
 193
 194 void AliFTrackMaker::Make()
 195 {
 196   //
 197   // Calculate track and its resolution
 198   //
 199   Double_t v11, v22, v33, v12, v13, v23;
 200   Int_t iFlag;
 201
 202   fNTracks = 0;
 203
 204   // Check if it is a TestJob
 205   if(gAliFast->TestTrack() == 1){
 206      // Run test job
 207      MakeTest(10);
 208   }else{
 209      // Run production job
 210      // Get pointers to Particles arrays and TClonesArray
 211
 212      Int_t idPart, idTrack;
 213      Double_t  charge, pT, eta, phi;
 214      TParticle *part;
 215      Int_t  nparticles = gAlice->GetMCApp()->GetNtrack();
 216      printf("%10s%10d\n","nparticles",nparticles);
 217      for(Int_t ind=0;ind<nparticles;ind++) {
 218        part = gAlice->GetMCApp()->Particle(ind);
 219        idPart  = part->GetPdgCode();
 220        charge  = part->GetPDG()->Charge();
 221        pT      = part->Pt();
 222        eta     = part->Eta();
 223        phi     = part->Phi();
 224        printf("%10s%10d%20.5e%20.5e%20.5e%20.5e\n","Particle",idPart,charge,pT,eta,phi);
 225        // Check convention for tracks reconstruction
 226        idTrack = 0;
 227        if(TMath::Abs(idPart) ==   11)                 idTrack = 1;
 228        if(TMath::Abs(idPart) == 111 || TMath::Abs(idPart) == 211) idTrack = 2;
 229        if(TMath::Abs(idPart) == 311 || TMath::Abs(idPart) == 321) idTrack = 3;
 230        if(TMath::Abs(idPart) == 2212)                 idTrack = 4;
 231
 232        if(idTrack > 0 && fRecTrack > 0){
 233          // Check if track should be reconstructed
 234          if((fRecTrack == 1 && idTrack == 1) ||
 235             (fRecTrack == 2 && idTrack == 2) ||
 236             (fRecTrack == 3 && idTrack == 3) ||
 237             (fRecTrack == 4 && idTrack == 4) ||
 238             fRecTrack == 100 ) {
 239            // Tracks are  reconstructed
 240            ErrorMatrix(idTrack,pT,eta, v11, v22, v33, v12, v13, v23, iFlag);
 241
 242            // Calculate and smear track parameters
 243            Double_t lambda, cosLambda, pTotal,pInverse;
 244            Double_t pInverseSmea, lambdaSmea, phiSmea;
 245            Double_t a1, a2, a3, b2, b3, c3;
 246            Double_t rn1, rn2, rn3;
 247
 248            lambda    = kPiHalf -2.0*TMath::ATan(TMath::Exp(-eta));
 249            cosLambda = TMath::Cos(lambda);
 250            pTotal    = pT/cosLambda;
 251            pInverse  = 1.0/pTotal;
 252
 253            a1  = TMath::Sqrt(v11);
 254            if(a1 == 0.){
 255              a2 = 0;
 256              a3 = 0;
 257            }else{
 258              a2  = v12/a1;
 259              a3  = v13/a1;
 260            }
 261            b2  = TMath::Sqrt(v22-a2*a2);
 262            if(b2 == 0.){
 263              b3 = 0;
 264            }else{
 265              b3  = (v23 - a2*a3)/b2;
 266            }
 267            c3  = TMath::Sqrt(v33 - a3*a3 -b3*b3);
 268            rn1 = gRandom->Gaus(0,1);
 269            rn2 = gRandom->Gaus(0,1);
 270            rn3 = gRandom->Gaus(0,1);
 271
 272            pInverseSmea  = pInverse + a1*rn1;
 273            lambdaSmea    = lambda + a2*rn1 + b2*rn2;
 274            phiSmea       = phi + a3*rn1 + b3*rn2 + c3*rn3;
 275
 276            // Fill control histograms
 277            if(idTrack == 1){
 278              fResID11->Fill((pInverseSmea-pInverse)/pInverse);
 279              fResID12->Fill((lambdaSmea-lambda)/lambda);
 280              fResID13->Fill((phiSmea-phi)/phi);
 281            }
 282            else if(idTrack == 2){
 283              fResID21->Fill((pInverseSmea-pInverse)/pInverse);
 284              fResID22->Fill((lambdaSmea-lambda)/lambda);
 285              fResID23->Fill((phiSmea-phi)/phi);
 286            }
 287            else if(idTrack == 3){
 288              fResID31->Fill((pInverseSmea-pInverse)/pInverse);
 289              fResID32->Fill((lambdaSmea-lambda)/lambda);
 290              fResID33->Fill((phiSmea-phi)/phi);
 291            }
 292            else if(idTrack == 4){
 293              fResID41->Fill((pInverseSmea-pInverse)/pInverse);
 294              fResID42->Fill((lambdaSmea-lambda)/lambda);
 295              fResID43->Fill((phiSmea-phi)/phi);
 296            }
 297          }else{
 298            // Tracks are not reconstructed
 299            v11=0.;
 300            v12=0.;
 301            v13=0.;
 302            v22=0.;
 303            v23=0.;
 304            v33=0.;
 305            iFlag=0;
 306          }
 307          // Store resolution variables  to AliFTrack  ClonesArray
 308          AddTrack(idTrack, charge, pT, eta, phi, v11, v22, v33, v12, v13, v23, iFlag);
 309          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",
 310               "Track",idTrack,charge,pT,eta,phi,v11, v22, v33, v12, v13, v23, iFlag);
 311        }
 312
 313      }
 314   }
 315 }
 316
 317 //_______________________________________________________________________
 318 void AliFTrackMaker::Copy(TObject &) const
 319 {
 320   Fatal("Copy","Not implemented!\n");
 321 }
 322
 323 //_____________________________________________________________________________
 324 void AliFTrackMaker::Finish()
 325 {
 326   // For TestJob only
 327   if(gAliFast->TestTrack() == 1){
 328     /*
 329     // Draw test histograms
 330     TCanvas *c1 = new TCanvas("c1"," ",200,10,600,480);
 331     c1->Divide(2,3);
 332     c1->cd(1);   fResID1Test->Draw();
 333     c1->cd(2);   fResID2Test->Draw();
 334     c1->cd(3);   fResID3Test->Draw();
 335     c1->cd(4);   fResID4Test->Draw();
 336     c1->cd(5);   fResID5Test->Draw();
 337     c1->Update();
 338     // Store TestRes.eps file
 339     c1->Print("TestRes.eps");
 340     */
 341     // Store histograms on file
 342     TFile f2("TestRes.root","RECREATE","Test Res.f");
 343     fResID1Test->Write();
 344     fResID2Test->Write();
 345     fResID3Test->Write();
 346     fResID4Test->Write();
 347     fResID5Test->Write();
 348     f2.Close();
 349   }
 350 }
 351 //_____________________________________________________________________________
 352 void AliFTrackMaker::ErrorMatrix(Int_t idTrack, Double_t pT,  Double_t eta,
 353   Double_t &v11, Double_t &v22, Double_t &v33, Double_t &v12, Double_t &v13, Double_t &v23,
 354   Int_t &iFlag)
 355 {
 356   ///////////////////////////////////////////////
 357   //idTrack      track type            input   //
 358   //pT           transverse mom        input   //
 359   //lambda       deep angle            input   //
 360   //v11,v22,v23  error matrix          output  //
 361   //v12,v13,v23                        output  //
 362   //iFlag                              output  //
 363   ///////////////////////////////////////////////
 364
 365   AliFDet *detector = gAliFast->Detector();
 366   Int_t nDet = detector->NDet();
 367   Int_t nDetActive = detector->NDetActive();
 368   Int_t nTwice = nDetActive + nDetActive;
 369
 370   Double_t rTrack, rTrackInverse, pTotal, pInverse, diffPInverse;
 371   Double_t safety;
 372   Double_t cosLambda, tanLambda, diffLambda;
 373   Double_t rDet;
 374
 375   Double_t hh0[kNMaxDet2][kNMaxDet2], hhi0[kNMaxDet2][kNMaxDet2];
 376   Double_t hh1[kNMaxDet2][kNMaxDet2], hhi1[kNMaxDet2][kNMaxDet2];
 377   Double_t dhhiOverPInverse[kNMaxDet2][kNMaxDet2];
 378   Double_t dhhiOverLambda[kNMaxDet2][kNMaxDet2];
 379   Double_t a1[kNMaxDet2][kNMaxDet2], a2[kNMaxDet2][kNMaxDet2];
 380   Double_t a0PInverse[kNMaxDet2];
 381   Double_t a0Lambda[kNMaxDet2];
 382   Double_t a0Phi[kNMaxDet2];
 383
 384   Double_t vF11, vF12, vF13, vF22, vF23, vF33, d1, d2, d3, det;
 385   Int_t   idet, icyl, im, in;
 386   Double_t phiHalf;
 387   Double_t lambda;
 388
 389   lambda = kPiHalf -2.0*TMath::ATan(TMath::Exp(-eta));
 390   rTrack    = detector->ConstMag()*pT;
 391   safety    = 10.0;
 392   if(2.0*rTrack < (detector->RDet(nDet) + safety)){
 393       iFlag     = 0;
 394       v11 = 0;
 395       v22 = 0;
 396       v33 = 0;
 397       v12 = 0;
 398       v13 = 0;
 399       v23 = 0;
 400       return;
 401   }
 402   iFlag        = 1;
 403   cosLambda    = TMath::Cos(lambda);
 404   pTotal       = pT/cosLambda;
 405   pInverse     = 1.0/pTotal;
 406   diffPInverse = pInverse*1.0e-5;
 407   diffLambda   = 1.0e-4;
 408
 409   // Compute likelihood and derivatives
 410
 411   LogLikelyhood(idTrack, pInverse, lambda);
 412   for(icyl=1; icyl<nTwice+1; icyl++){
 413      for(im=1; im<nTwice+1; im++){
 414       hh0[icyl][im]  = HH(icyl,im);
 415       hhi0[icyl][im] = HHI(icyl,im);
 416      }
 417   }
 418   LogLikelyhood(idTrack, pInverse+diffPInverse,lambda);
 419   for(icyl=1; icyl<nTwice+1; icyl++){
 420      for(im=1; im<nTwice+1; im++){
 421       hh1[icyl][im]  = HH(icyl,im);
 422       hhi1[icyl][im] = HHI(icyl,im);
 423      }
 424   }
 425   for(icyl=1; icyl<nTwice+1; icyl++){
 426      for(im=1; im<icyl+1; im++){
 427         dhhiOverPInverse[icyl][im] = (hhi1[icyl][im]-hhi0[icyl][im])/diffPInverse;
 428      }
 429   }
 430   LogLikelyhood(idTrack, pInverse, lambda+diffLambda);
 431   for(icyl=1; icyl<nTwice+1; icyl++){
 432      for(im=1; im<nTwice+1; im++){
 433       hh1[icyl][im]  = HH(icyl,im);
 434       hhi1[icyl][im] = HHI(icyl,im);
 435      }
 436   }
 437   for(icyl=1; icyl<nTwice+1; icyl++){
 438      for(im=1; im<icyl+1; im++){
 439         dhhiOverLambda[icyl][im] = (hhi1[icyl][im]-hhi0[icyl][im])/diffLambda;
 440      }
 441   }
 442
 443   // Compute additional derivatives
 444   rTrackInverse = 1.0/rTrack;
 445   tanLambda    = TMath::Tan(lambda);
 446   icyl = 0;
 447   for(idet=1; idet<nDet+1;idet++){
 448      if(detector->IFlagDet(idet) > 0){
 449         icyl = icyl + 1;
 450         rDet = detector->RDet(idet);
 451         phiHalf = TMath::ASin(0.5*rDet*rTrackInverse);
 452         Double_t rHelp   = rDet /
 453                           (2.0 * TMath::Sqrt(1.0-(0.5 *rDet*rTrackInverse)*
 454                                                  (0.5 *rDet*rTrackInverse)));
 455         a0PInverse[icyl] = - rDet* rHelp
 456                            /(detector->ConstMag()*cosLambda);
 457         a0Lambda[icyl]   = - rDet* rHelp
 458                            * tanLambda * rTrackInverse;
 459         a0Phi[icyl]      =   rDet;
 460         a0PInverse[nDetActive+icyl] = 2.0 * tanLambda
 461                            *rTrack*(rHelp-rTrack*phiHalf)
 462                            /(detector->ConstMag()*cosLambda);
 463         a0Lambda[nDetActive+icyl]   = 2.0 * (  rHelp*tanLambda*tanLambda
 464                                              + rTrack*phiHalf);
 465         a0Phi[nDetActive+icyl] = 0.0 ;
 466     }
 467   }
 468
 469   // Compute information matrix
 470
 471     vF11=0.0;
 472     vF12=0.0;
 473     vF13=0.0;
 474     vF22=0.0;
 475     vF23=0.0;
 476     vF33=0.0;
 477     for(icyl=1; icyl<nTwice+1; icyl++){
 478        d1=0.0;
 479        d2=0.0;
 480        d3=0.0;
 481        for(im=1; im < icyl+1; im++){
 482           d1 = d1 + hhi0[icyl][im]*a0PInverse[im];
 483           d2 = d2 + hhi0[icyl][im]*a0Lambda[im];
 484           d3 = d3 + hhi0[icyl][im]*a0Phi[im];
 485        }
 486        vF11 =vF11 + d1*d1;
 487        vF12 =vF12 + d1*d2;
 488        vF13 =vF13 + d1*d3;
 489        vF22 =vF22 + d2*d2;
 490        vF23 =vF23 + d2*d3;
 491        vF33 =vF33 + d3*d3;
 492     }
 493     for(icyl=1; icyl<nTwice+1; icyl++){
 494        for(im=1; im<icyl+1; im++){
 495           a1[icyl][im] = 0;
 496           a2[icyl][im] = 0;
 497           for(in=im; in<icyl+1;in++){
 498              a1[icyl][im]=a1[icyl][im]+dhhiOverPInverse[icyl][in]*hh0[im][in];
 499              a2[icyl][im]=a2[icyl][im]+dhhiOverLambda[icyl][in]*hh0[im][in];
 500           }
 501           vF11=vF11+a1[icyl][im]*a1[icyl][im];
 502           vF12=vF12+a1[icyl][im]*a2[icyl][im];
 503           vF22=vF22+a2[icyl][im]*a2[icyl][im];
 504        }
 505        vF11=vF11+a1[icyl][icyl]*a1[icyl][icyl];
 506        vF12=vF12+a1[icyl][icyl]*a2[icyl][icyl];
 507        vF22=vF22+a2[icyl][icyl]*a2[icyl][icyl];
 508        }
 509
 510   // Invert information matrix
 511
 512     det=( vF11*vF22 - vF12*vF12 ) *vF33 + (vF12*vF23 - vF13*vF22)*vF13
 513                                         + (vF12*vF13 - vF11*vF23)*vF23;
 514
 515     v11 = (vF22*vF33 - vF23*vF23)/det;
 516     v22 = (vF11*vF33 - vF13*vF13)/det;
 517     v33 = (vF11*vF22 - vF12*vF12)/det;
 518     v12 = (vF13*vF23 - vF12*vF33)/det;
 519     v13 = (vF12*vF23 - vF13*vF22)/det;
 520     v23 = (vF12*vF13 - vF11*vF23)/det;
 521
 522     }
 523 //_____________________________________________________________________________//
 524 void AliFTrackMaker::LogLikelyhood(Int_t idTrack, Double_t pInverse,Double_t lambda)
 525 {
 526   ///////////////////////////////////////////////
 527   //hh           ??                    output  //
 528   //hhi          ??                    output  //
 529   //idTrack       track type           input   //
 530   //pInverse      inverse  momentum    input   //
 531   //lambda       polar angle of track  input   //
 532   ///////////////////////////////////////////////
 533
 534
 535   AliFDet *detector = gAliFast->Detector();
 536   Int_t nDet = detector->NDet();
 537   Int_t nDetActive = detector->NDetActive();
 538   Int_t nTwice = nDetActive + nDetActive;
 539
 540   Double_t    rDet, rDetSQ;
 541   Int_t      idet, icyl, im, imc;
 542   Double_t    cosLambda, tanLambda, pTotal, pT, rTrack, rTrackSQ;
 543   Double_t    beta, overPBeta, rTrackInv, thickCorr, temp1, temp2;
 544   Double_t    partMassSQ;
 545   Double_t    aShelp[kNMaxDet2], dShelp[kNMaxDet2];
 546   Double_t    projXVXT[kNMaxDet2],projYVXT[kNMaxDet2], projZVXT[kNMaxDet2];
 547   Double_t    proj[kNMaxDet2][kNMaxDet2];
 548   Double_t    erroScatt[kNMaxDet2], variance[kNMaxDet2][kNMaxDet2];
 549   Double_t    erroSQ[kNMaxDet2];
 550   Double_t    hh[kNMaxDet2][kNMaxDet2];
 551   Double_t    hhi[kNMaxDet2][kNMaxDet2];
 552   Double_t    errorVX, errorVY, errorVZ;
 553
 554   cosLambda = TMath::Cos(lambda);
 555   tanLambda = TMath::Tan(lambda);
 556   pTotal    = 1.0/pInverse;
 557   pT        = pTotal * cosLambda;
 558   rTrack    = detector->ConstMag() * pTotal * cosLambda;
 559   rTrackSQ  = rTrack * rTrack;
 560   partMassSQ= ParticleMass(idTrack)*ParticleMass(idTrack);
 561   beta      = pTotal / TMath::Sqrt(partMassSQ+pTotal*pTotal);
 562   overPBeta = 1./(pTotal*beta);
 563   rTrackInv = 1./rTrack;
 564   errorVX   = detector->ErrorVertexX();
 565   errorVY   = detector->ErrorVertexY();
 566   errorVZ   = detector->ErrorVertexZ();
 567
 568
 569   erroScatt[0]=0.0;
 570   erroScatt[1]=0.0;
 571   for(idet=1; idet < nDet; idet++){
 572      thickCorr = detector->ThickDet(idet)/TMath::Sqrt(cosLambda*
 573                  TMath::Sqrt(1.0-0.25*(detector->RDetSQ(idet)/rTrackSQ)));
 574      if(detector->IFlagGas(idet) == 0){
 575          thickCorr = thickCorr * (1.3266 + 0.076 * TMath::Log(thickCorr));}
 576      thickCorr = overPBeta * thickCorr;
 577      erroScatt[idet+1]=thickCorr*thickCorr;
 578   }
 579
 580
 581   icyl = 0;
 582   for(idet=1; idet<nDet+1; idet++){
 583     rDet   = detector->RDet(idet);
 584     rDetSQ = rDet*rDet;
 585     dShelp[idet] = TMath::Sqrt(4.0*rTrackSQ-rDetSQ);
 586     aShelp[idet] = TMath::ASin(rDet/(rTrack+rTrack));
 587     if(detector->IFlagDet(idet) > 0) {
 588        icyl = icyl + 1;
 589        projXVXT[icyl] = rDet * rTrackInv;
 590        projXVXT[nDetActive+icyl] = -tanLambda;
 591        temp1 = (rTrackSQ + rTrackSQ - rDetSQ)/dShelp[idet];
 592        temp2 = rDet/dShelp[idet];
 593        projYVXT[icyl] = temp1*rTrackInv;
 594        projYVXT[nDetActive+icyl] = tanLambda * temp2;
 595        projZVXT[icyl] = 0.0;
 596        projZVXT[nDetActive+icyl] = 1.0;
 597        proj[icyl][1] = 0.0;
 598        proj[nDetActive+icyl][0] = 0.0;
 599        proj[nDetActive+icyl][nDet] = 0.0;
 600        proj[icyl][nDet] = 0.0;
 601        for(im=2; im<idet+1; im++){
 602           proj[icyl][im]= (( rDet
 603                            *(rTrackSQ+rTrackSQ-detector->RDetSQ(im-1))
 604                            - detector->RDet(im-1)*temp1*dShelp[im-1])
 605                          /((rTrackSQ + rTrackSQ)*cosLambda));
 606           proj[nDetActive+icyl][im]= 0.5 * detector->RDet(im-1)
 607                                    * rTrackInv
 608                                    * tanLambda * (detector->RDet(im-1)
 609                                    - dShelp[im-1]*temp2)/cosLambda;
 610           proj[nDetActive+icyl][nDet+im]= (rTrack+rTrack) * (aShelp[idet] - aShelp[im-1])
 611              + ( rDet*dShelp[im-1]-detector->RDet(im-1)*dShelp[idet])
 612              *  dShelp[im-1] * tanLambda * tanLambda
 613                / (dShelp[idet] * (rTrack+rTrack));
 614           proj[icyl][nDet+im]= tanLambda
 615                         *  (rDet*detector->RDet(im-1)*dShelp[im-1]
 616                         / (rTrackSQ+rTrackSQ)
 617                         - (rDetSQ + detector->RDetSQ(im-1)
 618                         -  rDetSQ * detector->RDetSQ(im-1)
 619                         / (rTrackSQ+rTrackSQ))
 620                         / dShelp[idet]);
 621        }
 622        for(im=idet+1; im < nDet+1; im++){
 623           proj[icyl][im] = 0.0;
 624           proj[nDetActive+icyl][im] = 0.0;
 625           proj[nDetActive+icyl][nDet+im] = 0.0;
 626           proj[icyl][nDet+im] = 0.0;
 627        }
 628        if(detector->IFlagDet(idet) == 1){
 629           erroSQ[icyl] = detector->ErrorRPhi(idet);
 630           erroSQ[nDetActive+icyl] = detector->ErrorZ(idet);
 631        }else{
 632           TPCResolution(pT, rDet, lambda);
 633           erroSQ[icyl]            = SigmaRPhiSQ();
 634           erroSQ[nDetActive+icyl] = SigmaZSQ();
 635        }
 636        erroSQ[icyl] = erroSQ[icyl] + detector->ErrorR(idet)*temp2*temp2;
 637        erroSQ[nDetActive+icyl] =  erroSQ[nDetActive+icyl]
 638                                 + detector->ErrorR(idet)*tanLambda*tanLambda;
 639     }
 640   }
 641     for(icyl=1; icyl<nTwice+1; icyl++){
 642       for(im=1; im<icyl+1; im++){
 643           variance[icyl][im]=
 644                projXVXT[icyl]*projXVXT[im]*errorVX
 645               +projYVXT[icyl]*projYVXT[im]*errorVY
 646               +projZVXT[icyl]*projZVXT[im]*errorVZ;
 647           for(imc=1; imc<nDet+1; imc++){
 648              variance[icyl][im]=variance[icyl][im]
 649                     +(proj[icyl][imc]*proj[im][imc]
 650                     + proj[icyl][nDet+imc]*proj[im][nDet+imc])
 651                     * erroScatt[imc];
 652           }
 653       }
 654       variance[icyl][icyl] = variance[icyl][icyl]+erroSQ[icyl];
 655     }
 656
 657     for(icyl=1; icyl<nTwice+1; icyl++){
 658       for(im=icyl; im<nTwice+1; im++){
 659           hh[icyl][im]=variance[im][icyl];
 660           for(imc=1; imc<icyl;imc++){
 661                hh[icyl][im]=hh[icyl][im]-hh[imc][icyl]*hh[imc][im];
 662             }
 663             if(im == icyl){
 664                hh[icyl][im] = TMath::Sqrt(hh[icyl][im]);
 665             }  else {
 666                hh[icyl][im] = hh[icyl][im]/hh[icyl][icyl];
 667             }
 668           }
 669     }
 670
 671     for(icyl=1; icyl<nTwice+1; icyl++){
 672         hhi[icyl][icyl] = 1.0 / hh[icyl][icyl];
 673         for(im=1; im<icyl; im++){
 674            hhi[icyl][im] = 0.0;
 675            for(imc=im; imc<icyl; imc++){
 676               hhi[icyl][im] = hhi[icyl][im]-hh[imc][icyl]*hhi[imc][im];
 677            }
 678            hhi[icyl][im] = hhi[icyl][im]*hhi[icyl][icyl];
 679        }
 680     }
 681
 682     for(icyl=1; icyl<nTwice+1; icyl++){
 683       for(im=1; im<nTwice+1; im++){
 684           SetHH(icyl,im,hh[icyl][im]);
 685           SetHHI(icyl,im,hhi[icyl][im]);
 686       }
 687     }
 688
 689
 690 }
 691 //_____________________________________________________________________________
 692 // translation of routine tpc_resolution of res.f
 693 //_____________________________________________________________________________
 694 void AliFTrackMaker::TPCResolution(Double_t pTransv, Double_t radiPad, Double_t lambda)
 695 {
 696   ///////////////////////////////////////////////
 697   //sigmaRPhiSQ  resolution in r-phi   output  //
 698   //sigmaZSQ     resolution in z       output  //
 699   //pTransv      transverse momentum   input   //
 700   //radiPad      radius of pad row     input   //
 701   //lambda       polar angle of track  input   //
 702   //
 703   //units: cm, GeV/c, radian                   //
 704   //parametrisation of TPC resolution          //
 705   //version of 03.07.1995                      //
 706   //source: Marek Kowalski, Karel Safarik      //
 707   ///////////////////////////////////////////////
 708
 709   Double_t aRCoeff=0.41818e-2;
 710   Double_t bRCoeff=0.17460e-4;
 711   Double_t cRCoeff=0.30993e-8;
 712   Double_t dRCoeff=0.41061e-6;
 713   Double_t aZCoeff=0.39610e-2;
 714   Double_t bZCoeff=0.22443e-4;
 715   Double_t cZCoeff=0.51504e-1;
 716
 717   Double_t sigmaRPhiSQ;
 718   Double_t sigmaZSQ;
 719
 720   sigmaRPhiSQ = aRCoeff - bRCoeff * radiPad * TMath::Tan(lambda)+
 721                (cRCoeff * (radiPad/pTransv) + dRCoeff) * radiPad/pTransv;
 722
 723   sigmaZSQ    = aZCoeff - bZCoeff * radiPad * TMath::Tan(lambda)+
 724                 cZCoeff * TMath::Tan(lambda)*TMath::Tan(lambda);
 725
 726   if(sigmaRPhiSQ < 1.0e-6 ) sigmaRPhiSQ = 1.0e-6;
 727   if(sigmaZSQ    < 1.0e-6 ) sigmaZSQ    = 1.0e-6;
 728
 729   sigmaRPhiSQ =   (TMath::Sqrt(sigmaRPhiSQ) + 0.005)
 730                 * (TMath::Sqrt(sigmaRPhiSQ) + 0.005);
 731   sigmaZSQ    =   (TMath::Sqrt(sigmaZSQ)    + 0.005)
 732                 * (TMath::Sqrt(sigmaZSQ)    + 0.005);
 733
 734   SetSigmaRPhiSQ(sigmaRPhiSQ);
 735   SetSigmaZSQ(sigmaZSQ);
 736
 737
 738 }
 739
 740 //-----------------------------------------------------------------------------
 741 Double_t AliFTrackMaker::ParticleMass(Int_t idTrack) const
 742 {
 743   //
 744   // returns the mass given particle ID
 745   //
 746   Double_t mass = 0.0;
 747
 748        if(idTrack == 2){ mass = fPionMass;}
 749   else if(idTrack == 3){ mass = fKaonMass;}
 750   else if(idTrack == 1) {mass = fElectronMass;}
 751   else if(idTrack == 4) {mass = fProtonMass;}
 752
 753   return mass;
 754
 755 }
 756
 757 //____________________________________________________________________________
 758 Double_t AliFTrackMaker::Rapidity(Double_t pt, Double_t pz)
 759 {
 760   //
 761   // returns the rapidity given particle pT, pz
 762   //   Compute rapidity
 763
 764    Double_t etalog = TMath::Log((TMath::Sqrt(pt*pt + pz*pz) + TMath::Abs(pz))/pt);
 765    if (pz < 0 ) return -TMath::Abs(etalog);
 766    else         return  TMath::Abs(etalog);
 767 }
 768
 769 //_____________________________________________________________________________
 770 // returns the phi angle given particle px, py
 771 //-----------------------------------------------------------------------------
 772 Double_t AliFTrackMaker::Angle(Double_t x, Double_t y)
 773 {
 774 //   Compute phi angle of particle
 775 // ... this is a copy of function ULANGL
 776 //  .. sign(a,b) = -abs(a) if b <  0
 777 //               =  abs(a) if b >= 0
 778
 779    Double_t angle = 0;
 780    Double_t r = TMath::Sqrt(x*x + y*y);
 781    if (r < 1e-20) return angle;
 782    if (TMath::Abs(x)/r < 0.8) {
 783       angle = TMath::Sign((Double_t)TMath::Abs(TMath::ACos(x/r)), y);
 784    } else {
 785       angle = TMath::ASin(y/r);
 786       if (x < 0 ) {
 787          if(angle >= 0) angle =  kPi - angle;
 788          else           angle = -kPi - angle;
 789       }
 790    }
 791    return angle;
 792 }
 793 //_____________________________________________________________________________
 794 Int_t AliFTrackMaker::Charge(Int_t kf)
 795 {
 796 //...this is copy of function LUCHGE
 797 //...Purpose: to give three times the charge for a particle/parton.
 798
 799   static Int_t kchg[500] = { -1,2,-1,2,-1,2,-1,2,0,0,-3,0,-3,0,-3,0,-3,0,
 800         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,
 801        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,
 802        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,
 803        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,
 804        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,
 805        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,
 806        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,
 807        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,
 808        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,
 809        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,
 810        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,
 811        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,
 812        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,
 813        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,
 814        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 };
 815
 816 //    extern integer kfcomp_(integer *);
 817   Int_t ipower;
 818   Int_t ret = 0;
 819   Int_t kfa = TMath::Abs(kf);
 820   Int_t kc  = Compress(kfa);
 821
 822 //...Initial values. Simple case of direct readout.
 823   if (kc == 0) {
 824   } else if (kfa <= 100 || kc <= 80 || kc > 100) {
 825      ret = kchg[kc-1];
 826
 827 // ...Construction from quark content for heavy meson, diquark, baryon.
 828   } else if (kfa/1000 % 10 == 0) {
 829         ipower = kfa/100 % 10;
 830         ret = (kchg[kfa / 100 % 10 - 1] - kchg[kfa/10 % 10 - 1])*Int_t(TMath::Power(-1, ipower));
 831   } else if (kfa / 10 % 10 == 0) {
 832         ret = kchg[kfa/1000 % 10 - 1] + kchg[kfa/100 % 10 - 1];
 833   } else {
 834         ret = kchg[kfa/1000 % 10 - 1] + kchg[kfa/100 % 10 - 1] + kchg[kfa/10 % 10 - 1];
 835   }
 836
 837 // ...Add on correct sign.
 838   if (kf > 0) return ret;
 839   else        return -ret;
 840 }
 841 //_____________________________________________________________________________
 842 Int_t AliFTrackMaker::Compress(Int_t kf)
 843 {
 844 //...this is copy of function LUCOMP
 845 //...Purpose: to compress the standard KF codes for use in mass and decay
 846 //...arrays; also to check whether a given code actually is defined.
 847 //     from BLOCK LUDATA
 848   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,
 849         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,
 850         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,
 851         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,
 852         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,
 853         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,
 854         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,
 855         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,
 856         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,
 857         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,
 858         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,
 859         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,
 860         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,
 861         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,
 862         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,
 863         0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
 864   static Int_t kftab[25] = { 211,111,221,311,321,130,310,213,113,223,313,
 865             323,2112,2212,210,2110,2210,110,220,330,440,30443,30553,0,0 };
 866   static Int_t kctab[25] = { 101,111,112,102,103,221,222,121,131,132,122,
 867             123,332,333,281,282,283,284,285,286,287,231,235,0,0 };
 868
 869   Int_t ret = 0;
 870   Int_t kfla, kflb, kflc, kflr, kfls, kfa, ikf;
 871
 872   kfa = TMath::Abs(kf);
 873 //...Simple cases: direct translation or table.
 874   if (kfa == 0 || kfa >= 100000) {
 875      return ret;
 876   } else if (kfa <= 100) {
 877      ret = kfa;
 878      if (kf < 0 && kchg[kfa - 1] == 0)  ret = 0;
 879      return ret;
 880   } else {
 881      for (ikf = 1; ikf <= 23; ++ikf) {
 882         if (kfa == kftab[ikf-1]) {
 883            ret = kctab[ikf-1];
 884            if (kf < 0 && kchg[ret-1] == 0)  ret = 0;
 885            return ret;
 886         }
 887      }
 888   }
 889 // ...Subdivide KF code into constituent pieces.
 890   kfla = kfa / 1000%10;
 891   kflb = kfa / 100%10;
 892   kflc = kfa / 10%10;
 893   kfls = kfa%10;
 894   kflr = kfa / 10000%10;
 895 // ...Mesons.
 896   if (kfa - kflr*10000 < 1000) {
 897      if (kflb == 0 || kflb == 9 || kflc == 0 || kflc == 9) {
 898      } else if (kflb < kflc) {
 899      } else if (kf < 0 && kflb == kflc) {
 900      } else if (kflb == kflc) {
 901         if (kflr == 0 && kfls == 1) {        ret = kflb + 110;
 902         } else if (kflr == 0 && kfls == 3) { ret = kflb + 130;
 903         } else if (kflr == 1 && kfls == 3) { ret = kflb + 150;
 904         } else if (kflr == 1 && kfls == 1) { ret = kflb + 170;
 905         } else if (kflr == 2 && kfls == 3) { ret = kflb + 190;
 906         } else if (kflr == 0 && kfls == 5) { ret = kflb + 210;
 907         }
 908      } else if (kflb <= 5) {
 909         if (kflr == 0 && kfls == 1) {        ret = (kflb-1)*(kflb-2)/2 + 100 + kflc;
 910         } else if (kflr == 0 && kfls == 3) { ret = (kflb-1)*(kflb-2)/2 + 120 + kflc;
 911         } else if (kflr == 1 && kfls == 3) { ret = (kflb-1)*(kflb-2)/2 + 140 + kflc;
 912         } else if (kflr == 1 && kfls == 1) { ret = (kflb-1)*(kflb-2)/2 + 160 + kflc;
 913         } else if (kflr == 2 && kfls == 3) { ret = (kflb-1)*(kflb-2)/2 + 180 + kflc;
 914         } else if (kflr == 0 && kfls == 5) { ret = (kflb-1)*(kflb-2)/2 + 200 + kflc;
 915         }
 916      } else if (kfls == 1 && kflr <= 1 || kfls == 3 && kflr <= 2 || kfls == 5 && kflr == 0) {
 917         ret = kflb + 80;
 918      }
 919 // ...Diquarks.
 920   } else if ((kflr == 0 || kflr == 1) && kflc == 0) {
 921      if (kfls != 1 && kfls != 3) {
 922      } else if (kfla == 9 || kflb == 0 || kflb == 9) {
 923      } else if (kfla < kflb) {
 924      } else if (kfls == 1 && kfla == kflb) {
 925      } else { ret = 90;
 926      }
 927 // ...Spin 1/2 baryons.
 928   } else if (kflr == 0 && kfls == 2) {
 929      if (kfla == 9 || kflb == 0 || kflb == 9 || kflc == 9) {
 930      } else if (kfla <= kflc || kfla < kflb) {
 931      } else if (kfla >= 6 || kflb >= 4 || kflc >= 4) {
 932          ret = kfla + 80;
 933      } else if (kflb < kflc) {
 934          ret = (kfla+1)*kfla*(kfla-1)/6 + 300 + kflc*(kflc-1)/2 + kflb;
 935      } else {
 936          ret = (kfla+1)*kfla*(kfla-1)/6 + 330 + kflb*(kflb-1)/2 + kflc;
 937      }
 938 // ...Spin 3/2 baryons.
 939   } else if (kflr == 0 && kfls == 4) {
 940      if (kfla == 9 || kflb == 0 || kflb == 9 || kflc == 9) {
 941      } else if (kfla < kflb || kflb < kflc) {
 942      } else if (kfla >= 6 || kflb >= 4) {
 943          ret = kfla + 80;
 944      } else {
 945          ret = (kfla+1)*kfla*(kfla-1) / 6 + 360 + kflb*(kflb -1) / 2 + kflc;
 946      }
 947   }
 948     return ret;
 949 }
 950
 951 //_____________________________________________________________________________
 952 void AliFTrackMaker::MakeTest(Int_t n)
 953 {
 954   //
 955   // TEST JOB: Calculate tracks resolution
 956   //
 957   Double_t v11, v22, v33, v12, v13, v23;
 958   Int_t iFlag;
 959   Int_t idTrack;
 960   Double_t  pTStart, pT, eta;
 961
 962   Double_t sumDPop,sumDDip,sumDPhi;
 963   Double_t isum,fm;
 964   Double_t pTotal,partMassSQ,beta,lambda;
 965   Double_t dPop,dLop,dDip,dPhi,rho12,rho13,rho23;
 966   Double_t dPPStrag,dPPTot=0;
 967   //  Double_t resol1[1001][11],resol2[10001][11],resol3[1001][11],
 968   //           resol4[1001][11],resol5[10001][11]
 969   Double_t store1[1001],store2[10001],store3[1001],
 970            store4[1001],store5[10001];
 971
 972
 973   idTrack  = 2;
 974   pTStart = 0.07;
 975   for(Int_t istep=1; istep<n; istep++){
 976       if(istep < 100 && istep >  20) istep = istep -1 +  5;
 977       if(istep < 500 && istep > 100) istep = istep -1 + 25;
 978       if(istep <1000 && istep > 500) istep = istep -1 + 100;
 979       pT = pTStart + 0.01*istep;
 980       eta = - 0.044;
 981       sumDPop = 0;
 982       sumDDip = 0;
 983       sumDPhi = 0;
 984       isum    = 0;
 985       for(Int_t in=1; in<11; in++){
 986          eta    = eta + 0.088;
 987          lambda = kPiHalf -2.0*TMath::ATan(TMath::Exp(-eta));
 988          pTotal = pT / TMath::Cos(lambda);
 989          if(idTrack == 1){
 990            dPPStrag = 0.055 /pT;}
 991          else{
 992            partMassSQ = ParticleMass(idTrack)*ParticleMass(idTrack);
 993            beta       = pTotal/ TMath::Sqrt(pTotal*pTotal + partMassSQ);
 994            dPPStrag   = 0.04/(pT*TMath::Power(beta,2.6666666667));
 995          }
 996          ErrorMatrix(idTrack,pT,eta, v11, v22, v33, v12, v13, v23, iFlag);
 997          if(iFlag == 1){
 998             dLop   = TMath::Sqrt(v11);
 999             dDip   = TMath::Sqrt(v22);
1000             dPhi   = TMath::Sqrt(v33);
1001             rho12  = v12/(dLop*dDip);
1002             rho13  = v13/(dLop*dPhi);
1003             rho23  = v23/(dDip*dPhi);
1004             dPop   = 100. *dLop * pTotal;
1005             dDip   = 1000. * dDip;
1006             dPhi   = 1000. * dPhi;
1007             dPPTot = TMath::Sqrt(dPop*dPop + dPPStrag*dPPStrag);
1008             //            resol1[istep][in] = dPop;
1009             //            resol2[istep][in] = dDip;
1010             //            resol3[istep][in] = dPhi;
1011             //            resol4[istep][in] = dPPTot;
1012             //            resol5[istep][in] = dPPStrag;
1013             sumDPop = sumDPop + dPop;
1014             sumDDip = sumDDip + dDip;
1015             sumDPhi = sumDPhi + dPhi;
1016             isum    = isum + 1;}
1017          else{
1018             printf("%20s %10.5f %10.5f %20s\n","pT,eta",pT,eta,"cannot smear");
1019          }
1020        }
1021        if(isum > 0){
1022          dPop   = sumDPop/isum;
1023          dDip   = sumDDip/isum;
1024          dPhi   = sumDPhi/isum;
1025          dPPTot = TMath::Sqrt(dPop*dPop + dPPStrag*dPPStrag);}
1026        else{
1027          dPop   = 0;
1028          dDip   = 0;
1029          dPhi   = 0;
1030        }
1031        store1[istep] = dPop;
1032        store2[istep] = dDip;
1033        store3[istep] = dPhi;
1034        store4[istep] = dPPTot;
1035        store5[istep] = dPPStrag;
1036        if(istep > 20 ){
1037           Int_t im = 5;
1038           if(istep > 100) {im =  25;}
1039           if(istep > 500) {im = 100;}
1040           fm = 1./(1.*im);
1041           for(Int_t ist=1; ist<im; ist++){
1042               //               for(Int_t in=1; in < 11; in++){
1043               //                   resol1[istep-im+ist][in] = resol1[istep-im][in]+
1044               //                         ist*fm*(resol1[istep][in]-resol1[istep-im][in]);
1045               //                   resol2[istep-im+ist][in] = resol2[istep-im][in]+
1046               //                         ist*fm*(resol2[istep][in]-resol2[istep-im][in]);
1047               //                   resol3[istep-im+ist][in] = resol3[istep-im][in]+
1048               //                         ist*fm*(resol3[istep][in]-resol3[istep-im][in]);
1049               //                   resol4[istep-im+ist][in] = resol4[istep-im][in]+
1050               //                         ist*fm*(resol4[istep][in]-resol4[istep-im][in]);
1051               //                   resol5[istep-im+ist][in] = resol5[istep-im][in]+
1052               //                         ist*fm*(resol5[istep][in]-resol5[istep-im][in]);
1053               //             }
1054             store1[istep-im+ist]=store1[istep-im]+
1055                                  ist*fm*(store1[istep]-store1[istep-im]);
1056             store2[istep-im+ist]=store2[istep-im]+
1057                                  ist*fm*(store2[istep]-store2[istep-im]);
1058             store3[istep-im+ist]=store3[istep-im]+
1059                                  ist*fm*(store3[istep]-store3[istep-im]);
1060             store4[istep-im+ist]=store4[istep-im]+
1061                                  ist*fm*(store4[istep]-store4[istep-im]);
1062             store5[istep-im+ist]=store5[istep-im]+
1063                                  ist*fm*(store5[istep]-store5[istep-im]);
1064             // Fill control histograms
1065             fResID1Test->Fill(pTStart + 0.01*(istep-im+ist),store1[istep-im+ist]);
1066             fResID2Test->Fill(pTStart + 0.01*(istep-im+ist),store2[istep-im+ist]);
1067             fResID3Test->Fill(pTStart + 0.01*(istep-im+ist),store3[istep-im+ist]);
1068             fResID4Test->Fill(pTStart + 0.01*(istep-im+ist),store4[istep-im+ist]);
1069             fResID5Test->Fill(pTStart + 0.01*(istep-im+ist),store5[istep-im+ist]);
1070           }
1071           printf("%10s %10d %20.15f %20.15f %20.15f %20.15f %20.15f \n",
1072                        "TestTrack:",istep,store1[istep],store2[istep],store3[istep],
1073                                     store4[istep],store5[istep]);
1074        } else {
1075           printf("%10s %10d %20.15f %20.15f %20.15f %20.15f %20.15f \n",
1076                        "TestTrack:",istep,store1[istep],store2[istep],store3[istep],
1077                                     store4[istep],store5[istep]);
1078           fResID1Test->Fill(pT,store1[istep]);
1079           fResID2Test->Fill(pT,store2[istep]);
1080           fResID3Test->Fill(pT,store3[istep]);
1081           fResID4Test->Fill(pT,store4[istep]);
1082           fResID5Test->Fill(pT,store5[istep]);
1083        }
1084   }
1085 }
1086 //_____________________________________________________________________________