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