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