PWG2/FLOW/AliFlowCommon/AliFlowAnalysisWithScalarProduct.cxx

   1 /*************************************************************************
   2 * Copyright(c) 1998-2008, ALICE Experiment at CERN, All rights reserved. *
   3 *                                                                        *
   4 * Author: The ALICE Off-line Project.                                    *
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   6 *                                                                        *
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  12 * about the suitability of this software for any purpose. It is          *
  13 * provided "as is" without express or implied warranty.                  *
  14 **************************************************************************/
  15
  16 #define AliFlowAnalysisWithScalarProduct_cxx
  17
  18 #include "Riostream.h"
  19 #include "TFile.h"
  20 #include "TList.h"
  21 #include "TMath.h"
  22 #include "TProfile.h"
  23 #include "TVector2.h"
  24 #include "TH1D.h"
  25 #include "TH2D.h"
  26
  27 #include "AliFlowCommonConstants.h"
  28 #include "AliFlowEventSimple.h"
  29 #include "AliFlowTrackSimple.h"
  30 #include "AliFlowCommonHist.h"
  31 #include "AliFlowCommonHistResults.h"
  32 #include "AliFlowAnalysisWithScalarProduct.h"
  33 #include "AliFlowVector.h"
  34
  35 //////////////////////////////////////////////////////////////////////////////
  36 // AliFlowAnalysisWithScalarProduct:
  37 // Description:
  38 // Maker to analyze Flow with the Scalar product method.
  39 //
  40 // authors: N. van der Kolk (kolk@nikhef.nl), A. Bilandzic (anteb@nikhef.nl)
  41 //////////////////////////////////////////////////////////////////////////////
  42
  43 ClassImp(AliFlowAnalysisWithScalarProduct)
  44
  45   //-----------------------------------------------------------------------
  46   AliFlowAnalysisWithScalarProduct::AliFlowAnalysisWithScalarProduct():
  47    fEventNumber(0),
  48    fDebug(kFALSE),
  49    fRelDiffMsub(1.),
  50    fWeightsList(NULL),
  51    fUsePhiWeights(kFALSE),
  52    fPhiWeightsSub0(NULL),
  53    fPhiWeightsSub1(NULL),
  54    fHistList(NULL),
  55    fHistProFlags(NULL),
  56    fHistProUQetaRP(NULL),
  57    fHistProUQetaPOI(NULL),
  58    fHistProUQPtRP(NULL),
  59    fHistProUQPtPOI(NULL),
  60    fHistProQaQb(NULL),
  61    fHistProQaQbNorm(NULL),
  62    fApplyCorrectionForNUA(kFALSE),
  63    fHistProQaQbReImNorm(NULL),
  64    fHistProNonIsotropicTermsQ(NULL),
  65    fHistSumOfLinearWeights(NULL),
  66    fHistSumOfQuadraticWeights(NULL),
  67    fHistProUQQaQbPtRP(NULL),
  68    fHistProUQQaQbEtaRP(NULL),
  69    fHistProUQQaQbPtPOI(NULL),
  70    fHistProUQQaQbEtaPOI(NULL),
  71    fCommonHists(NULL),
  72    fCommonHistsRes(NULL),
  73    fHistQaQb(NULL),
  74    fHistQaQbNorm(NULL),
  75    fHistQaQbCos(NULL),
  76    fHistResolution(NULL),
  77    fHistQaNorm(NULL),
  78    fHistQaNormvsMa(NULL),
  79    fHistQbNorm(NULL),
  80    fHistQbNormvsMb(NULL),
  81    fHistMavsMb(NULL)
  82
  83 {
  84   // Constructor.
  85   fWeightsList = new TList();
  86   fHistList = new TList();
  87
  88   // Initialize arrays:
  89   for(Int_t i=0;i<3;i++)
  90   {
  91    fHistSumOfWeightsPtRP[i] = NULL;
  92    fHistSumOfWeightsEtaRP[i] = NULL;
  93    fHistSumOfWeightsPtPOI[i] = NULL;
  94    fHistSumOfWeightsEtaPOI[i] = NULL;
  95   }
  96   for(Int_t rp=0;rp<2;rp++)
  97   {
  98    for(Int_t pe=0;pe<2;pe++)
  99    {
 100     for(Int_t sc=0;sc<2;sc++)
 101     {
 102      fHistProNonIsotropicTermsU[rp][pe][sc] = NULL;
 103     }
 104    }
 105   }
 106 }
 107  //-----------------------------------------------------------------------
 108  AliFlowAnalysisWithScalarProduct::~AliFlowAnalysisWithScalarProduct()
 109  {
 110    //destructor
 111    delete fWeightsList;
 112    delete fHistList;
 113  }
 114
 115 //-----------------------------------------------------------------------
 116 void AliFlowAnalysisWithScalarProduct::WriteHistograms(TString* outputFileName)
 117 {
 118  //store the final results in output .root file
 119
 120   TFile *output = new TFile(outputFileName->Data(),"RECREATE");
 121   //output->WriteObject(fHistList, "cobjSP","SingleKey");
 122   fHistList->SetName("cobjSP");
 123   fHistList->SetOwner(kTRUE);
 124   fHistList->Write(fHistList->GetName(), TObject::kSingleKey);
 125   delete output;
 126 }
 127
 128 //-----------------------------------------------------------------------
 129 void AliFlowAnalysisWithScalarProduct::WriteHistograms(TString outputFileName)
 130 {
 131  //store the final results in output .root file
 132
 133   TFile *output = new TFile(outputFileName.Data(),"RECREATE");
 134   //output->WriteObject(fHistList, "cobjSP","SingleKey");
 135   fHistList->SetName("cobjSP");
 136   fHistList->SetOwner(kTRUE);
 137   fHistList->Write(fHistList->GetName(), TObject::kSingleKey);
 138   delete output;
 139 }
 140
 141 //-----------------------------------------------------------------------
 142 void AliFlowAnalysisWithScalarProduct::WriteHistograms(TDirectoryFile *outputFileName)
 143 {
 144  //store the final results in output .root file
 145  fHistList->SetName("cobjSP");
 146  fHistList->SetOwner(kTRUE);
 147  outputFileName->Add(fHistList);
 148  outputFileName->Write(outputFileName->GetName(), TObject::kSingleKey);
 149 }
 150
 151 //-----------------------------------------------------------------------
 152 void AliFlowAnalysisWithScalarProduct::Init() {
 153
 154   //Define all histograms
 155   cout<<"---Analysis with the Scalar Product Method--- Init"<<endl;
 156
 157   //save old value and prevent histograms from being added to directory
 158   //to avoid name clashes in case multiple analaysis objects are used
 159   //in an analysis
 160   Bool_t oldHistAddStatus = TH1::AddDirectoryStatus();
 161   TH1::AddDirectory(kFALSE);
 162
 163   Int_t iNbinsPt   = AliFlowCommonConstants::GetMaster()->GetNbinsPt();
 164   Double_t dPtMin  = AliFlowCommonConstants::GetMaster()->GetPtMin();
 165   Double_t dPtMax  = AliFlowCommonConstants::GetMaster()->GetPtMax();
 166   Int_t iNbinsEta  = AliFlowCommonConstants::GetMaster()->GetNbinsEta();
 167   Double_t dEtaMin = AliFlowCommonConstants::GetMaster()->GetEtaMin();
 168   Double_t dEtaMax = AliFlowCommonConstants::GetMaster()->GetEtaMax();
 169
 170   fHistProFlags = new TProfile("Flow_Flags_SP","Flow_Flags_SP",1,0,1,"s");
 171   fHistProFlags->GetXaxis()->SetBinLabel(1,"fApplyCorrectionForNUA");
 172   fHistList->Add(fHistProFlags);
 173
 174   fHistProUQetaRP = new TProfile("Flow_UQetaRP_SP","Flow_UQetaRP_SP",iNbinsEta,dEtaMin,dEtaMax,"s");
 175   fHistProUQetaRP->SetXTitle("{eta}");
 176   fHistProUQetaRP->SetYTitle("<uQ>");
 177   fHistList->Add(fHistProUQetaRP);
 178
 179   fHistProUQetaPOI = new TProfile("Flow_UQetaPOI_SP","Flow_UQetaPOI_SP",iNbinsEta,dEtaMin,dEtaMax,"s");
 180   fHistProUQetaPOI->SetXTitle("{eta}");
 181   fHistProUQetaPOI->SetYTitle("<uQ>");
 182   fHistList->Add(fHistProUQetaPOI);
 183
 184   fHistProUQPtRP = new TProfile("Flow_UQPtRP_SP","Flow_UQPtRP_SP",iNbinsPt,dPtMin,dPtMax,"s");
 185   fHistProUQPtRP->SetXTitle("p_t (GeV)");
 186   fHistProUQPtRP->SetYTitle("<uQ>");
 187   fHistList->Add(fHistProUQPtRP);
 188
 189   fHistProUQPtPOI = new TProfile("Flow_UQPtPOI_SP","Flow_UQPtPOI_SP",iNbinsPt,dPtMin,dPtMax,"s");
 190   fHistProUQPtPOI->SetXTitle("p_t (GeV)");
 191   fHistProUQPtPOI->SetYTitle("<uQ>");
 192   fHistList->Add(fHistProUQPtPOI);
 193
 194   fHistProQaQb = new TProfile("Flow_QaQb_SP","Flow_QaQb_SP", 1, 0.5, 1.5,"s");
 195   fHistProQaQb->SetYTitle("<QaQb>");
 196   fHistList->Add(fHistProQaQb);
 197
 198   fHistProQaQbNorm = new TProfile("FlowPro_QaQbNorm_SP","FlowPro_QaQbNorm_SP", 1, 0.5, 1.5,"s");
 199   fHistProQaQbNorm->SetYTitle("<QaQb/MaMb>");
 200   fHistList->Add(fHistProQaQbNorm);
 201
 202   fHistProQaQbReImNorm = new TProfile("FlowPro_QaQbReImNorm_SP","FlowPro_QaQbReImNorm_SP", 4, 0.5, 4.5,"s");
 203   fHistProQaQbReImNorm->GetXaxis()->SetBinLabel(1,"#LT#LTsin(#phi_{a})#GT#GT");
 204   fHistProQaQbReImNorm->GetXaxis()->SetBinLabel(2,"#LT#LTcos(#phi_{a})#GT#GT");
 205   fHistProQaQbReImNorm->GetXaxis()->SetBinLabel(3,"#LT#LTsin(#phi_{b})#GT#GT");
 206   fHistProQaQbReImNorm->GetXaxis()->SetBinLabel(4,"#LT#LTcos(#phi_{b})#GT#GT");
 207   fHistList->Add(fHistProQaQbReImNorm);
 208
 209   fHistProNonIsotropicTermsQ = new TProfile("FlowPro_NonIsotropicTermsQ_SP","FlowPro_NonIsotropicTermsQ_SP", 2, 0.5, 2.5,"s");
 210   fHistProNonIsotropicTermsQ->GetXaxis()->SetBinLabel(1,"#LT#LTsin(#phi_{a+b})#GT#GT");
 211   fHistProNonIsotropicTermsQ->GetXaxis()->SetBinLabel(2,"#LT#LTcos(#phi_{a+b})#GT#GT");
 212   fHistList->Add(fHistProNonIsotropicTermsQ);
 213
 214   TString rpPoi[2] = {"RP","POI"};
 215   TString ptEta[2] = {"Pt","Eta"};
 216   TString sinCos[2] = {"sin","cos"};
 217   Int_t nBinsPtEta[2] = {iNbinsPt,iNbinsEta};
 218   Double_t minPtEta[2] = {dPtMin,dEtaMin};
 219   Double_t maxPtEta[2] = {dPtMax,dEtaMax};
 220   for(Int_t rp=0;rp<2;rp++)
 221   {
 222    for(Int_t pe=0;pe<2;pe++)
 223    {
 224     for(Int_t sc=0;sc<2;sc++)
 225     {
 226      fHistProNonIsotropicTermsU[rp][pe][sc] = new TProfile(Form("Flow_NonIsotropicTerms_%s_%s_%s_SP",rpPoi[rp].Data(),ptEta[pe].Data(),sinCos[sc].Data()),Form("Flow_NonIsotropicTerms_%s_%s_%s_SP",rpPoi[rp].Data(),ptEta[pe].Data(),sinCos[sc].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]);
 227      fHistList->Add(fHistProNonIsotropicTermsU[rp][pe][sc]);
 228     }
 229    }
 230   }
 231
 232   fHistSumOfLinearWeights = new TH1D("Flow_SumOfLinearWeights_SP","Flow_SumOfLinearWeights_SP",1,-0.5, 0.5);
 233   fHistSumOfLinearWeights -> SetYTitle("sum (*)");
 234   fHistSumOfLinearWeights -> SetXTitle("sum (Ma*Mb)");
 235   fHistList->Add(fHistSumOfLinearWeights);
 236
 237   fHistSumOfQuadraticWeights = new TH1D("Flow_SumOfQuadraticWeights_SP","Flow_SumOfQuadraticWeights_SP",1,-0.5, 0.5);
 238   fHistSumOfQuadraticWeights -> SetYTitle("sum (*)");
 239   fHistSumOfQuadraticWeights -> SetXTitle("sum (Ma*Mb)^2");
 240   fHistList->Add(fHistSumOfQuadraticWeights);
 241
 242   fHistProUQQaQbPtRP = new TProfile("Flow_UQQaQbPtRP_SP","Flow_UQQaQbPtRP_SP",iNbinsPt,dPtMin,dPtMax);
 243   fHistProUQQaQbPtRP -> SetYTitle("<*>");
 244   fHistProUQQaQbPtRP -> SetXTitle("<Qu QaQb>");
 245   fHistList->Add(fHistProUQQaQbPtRP);
 246
 247   fHistProUQQaQbEtaRP = new TProfile("Flow_UQQaQbEtaRP_SP","Flow_UQQaQbEtaRP_SP",iNbinsEta,dEtaMin,dEtaMax);
 248   fHistProUQQaQbEtaRP -> SetYTitle("<*>");
 249   fHistProUQQaQbEtaRP -> SetXTitle("<Qu QaQb>");
 250   fHistList->Add(fHistProUQQaQbEtaRP);
 251
 252   fHistProUQQaQbPtPOI = new TProfile("Flow_UQQaQbPtPOI_SP","Flow_UQQaQbPtPOI_SP",iNbinsPt,dPtMin,dPtMax);
 253   fHistProUQQaQbPtPOI -> SetYTitle("<*>");
 254   fHistProUQQaQbPtPOI -> SetXTitle("<Qu QaQb>");
 255   fHistList->Add(fHistProUQQaQbPtPOI);
 256
 257   fHistProUQQaQbEtaPOI = new TProfile("Flow_UQQaQbEtaPOI_SP","Flow_UQQaQbEtaPOI_SP",iNbinsEta,dEtaMin,dEtaMax);
 258   fHistProUQQaQbEtaPOI -> SetYTitle("<*>");
 259   fHistProUQQaQbEtaPOI -> SetXTitle("<Qu QaQb>");
 260   fHistList->Add(fHistProUQQaQbEtaPOI);
 261
 262   TString weightFlag[3] = {"w_Qu_","w_Qu^2_","w_QuQaQb_"};
 263   for(Int_t i=0;i<3;i++)
 264   {
 265    fHistSumOfWeightsPtRP[i] = new TH1D(Form("Flow_SumOfWeights%sPtRP_SP",weightFlag[i].Data()),
 266                               Form("Flow_SumOfWeights%sPtRP_SP",weightFlag[i].Data()),iNbinsPt,dPtMin,dPtMax);
 267    fHistSumOfWeightsPtRP[i] -> SetYTitle("sum (*)");
 268    fHistSumOfWeightsPtRP[i] -> SetXTitle("p_{T}");
 269    fHistList->Add(fHistSumOfWeightsPtRP[i]);
 270
 271    fHistSumOfWeightsEtaRP[i] = new TH1D(Form("Flow_SumOfWeights%sEtaRP_SP",weightFlag[i].Data()),
 272                                Form("Flow_SumOfWeights%sEtaRP_SP",weightFlag[i].Data()),iNbinsEta,dEtaMin,dEtaMax);
 273    fHistSumOfWeightsEtaRP[i] -> SetYTitle("sum (*)");
 274    fHistSumOfWeightsEtaRP[i] -> SetXTitle("#eta");
 275    fHistList->Add(fHistSumOfWeightsEtaRP[i]);
 276
 277    fHistSumOfWeightsPtPOI[i] = new TH1D(Form("Flow_SumOfWeights%sPtPOI_SP",weightFlag[i].Data()),
 278                                Form("Flow_SumOfWeights%sPtPOI_SP",weightFlag[i].Data()),iNbinsPt,dPtMin,dPtMax);
 279    fHistSumOfWeightsPtPOI[i] -> SetYTitle("sum (*)");
 280    fHistSumOfWeightsPtPOI[i] -> SetXTitle("p_{T}");
 281    fHistList->Add(fHistSumOfWeightsPtPOI[i]);
 282
 283    fHistSumOfWeightsEtaPOI[i] = new TH1D(Form("Flow_SumOfWeights%sEtaPOI_SP",weightFlag[i].Data()),
 284                                 Form("Flow_SumOfWeights%sEtaPOI_SP",weightFlag[i].Data()),iNbinsEta,dEtaMin,dEtaMax);
 285    fHistSumOfWeightsEtaPOI[i] -> SetYTitle("sum (*)");
 286    fHistSumOfWeightsEtaPOI[i] -> SetXTitle("#eta");
 287    fHistList->Add(fHistSumOfWeightsEtaPOI[i]);
 288   }
 289
 290   fCommonHists = new AliFlowCommonHist("AliFlowCommonHistSP");
 291   fHistList->Add(fCommonHists);
 292   fCommonHistsRes = new AliFlowCommonHistResults("AliFlowCommonHistResultsSP");
 293   fHistList->Add(fCommonHistsRes);
 294
 295   fHistQaQb = new TH1D("Flow_QaQb_SP","Flow_QaQb_SP",200,-100.,100.);
 296   fHistQaQb -> SetYTitle("dN/dQaQb");
 297   fHistQaQb -> SetXTitle("QaQb");
 298   fHistList->Add(fHistQaQb);
 299
 300   fHistQaQbNorm = new TH1D("Flow_QaQbNorm_SP","Flow_QaQbNorm_SP",44,-1.1,1.1);
 301   fHistQaQbNorm -> SetYTitle("dN/d(QaQb/MaMb)");
 302   fHistQaQbNorm -> SetXTitle("QaQb/MaMb");
 303   fHistList->Add(fHistQaQbNorm);
 304
 305   fHistQaQbCos = new TH1D("Flow_QaQbCos_SP","Flow_QaQbCos_SP",63,0.,TMath::Pi());
 306   fHistQaQbCos -> SetYTitle("dN/d(#phi)");
 307   fHistQaQbCos -> SetXTitle("#phi");
 308   fHistList->Add(fHistQaQbCos);
 309
 310   fHistResolution = new TH1D("Flow_resolution_SP","Flow_resolution_SP",100,-1.0,1.0);
 311   fHistResolution -> SetYTitle("dN/d(cos(2(#phi_a - #phi_b))");
 312   fHistResolution -> SetXTitle("cos(2*(#phi_a - #phi_b))");
 313   fHistList->Add(fHistResolution);
 314
 315   fHistQaNorm = new TH1D("Flow_QaNorm_SP","Flow_QaNorm_SP",22,0.,1.1);
 316   fHistQaNorm -> SetYTitle("dN/d(|Qa/Ma|)");
 317   fHistQaNorm -> SetXTitle("|Qa/Ma|");
 318   fHistList->Add(fHistQaNorm);
 319
 320   fHistQaNormvsMa = new TH2D("Flow_QaNormvsMa_SP","Flow_QaNormvsMa_SP",100,0.,100.,22,0.,1.1);
 321   fHistQaNormvsMa -> SetYTitle("|Qa/Ma|");
 322   fHistQaNormvsMa -> SetXTitle("Ma");
 323   fHistList->Add(fHistQaNormvsMa);
 324
 325   fHistQbNorm = new TH1D("Flow_QbNorm_SP","Flow_QbNorm_SP",22,0.,1.1);
 326   fHistQbNorm -> SetYTitle("dN/d(|Qb/Mb|)");
 327   fHistQbNorm -> SetXTitle("|Qb/Mb|");
 328   fHistList->Add(fHistQbNorm);
 329
 330   fHistQbNormvsMb = new TH2D("Flow_QbNormvsMb_SP","Flow_QbNormvsMb_SP",100,0.,100.,22,0.,1.1);
 331   fHistQbNormvsMb -> SetYTitle("|Qb/Mb|");
 332   fHistQbNormvsMb -> SetXTitle("|Mb|");
 333   fHistList->Add(fHistQbNormvsMb);
 334
 335   fHistMavsMb = new TH2D("Flow_MavsMb_SP","Flow_MavsMb_SP",100,0.,100.,100,0.,100.);
 336   fHistMavsMb -> SetYTitle("Ma");
 337   fHistMavsMb -> SetXTitle("Mb");
 338   fHistList->Add(fHistMavsMb);
 339
 340
 341   //weights
 342   if(fUsePhiWeights) {
 343     if(!fWeightsList) {
 344       cout<<"WARNING: fWeightsList is NULL in the Scalar Product method."<<endl;
 345       exit(0);
 346     }
 347     if(fWeightsList->FindObject("phi_weights_sub0"))  {
 348       fPhiWeightsSub0 = dynamic_cast<TH1F*>
 349         (fWeightsList->FindObject("phi_weights_sub0"));
 350       fHistList->Add(fPhiWeightsSub0);
 351     } else {
 352       cout<<"WARNING: histogram with phi weights is not accessible in Scalar Product"<<endl;
 353       exit(0);
 354     }
 355     if(fWeightsList->FindObject("phi_weights_sub1"))  {
 356       fPhiWeightsSub1 = dynamic_cast<TH1F*>
 357         (fWeightsList->FindObject("phi_weights_sub1"));
 358       fHistList->Add(fPhiWeightsSub1);
 359     } else {
 360       cout<<"WARNING: histogram with phi weights is not accessible in Scalar Product"<<endl;
 361       exit(0);
 362     }
 363
 364   } // end of if(fUsePhiWeights)
 365
 366   fEventNumber = 0;  //set number of events to zero
 367
 368   //store all boolean flags needed in Finish():
 369   this->StoreFlags();
 370
 371   TH1::AddDirectory(oldHistAddStatus);
 372 }
 373
 374 //-----------------------------------------------------------------------
 375 void AliFlowAnalysisWithScalarProduct::Make(AliFlowEventSimple* anEvent) {
 376
 377   //Calculate flow based on  <QaQb/MaMb> = <v^2>
 378
 379   //Fill histograms
 380   if (anEvent) {
 381
 382     //get Q vectors for the eta-subevents
 383     AliFlowVector* vQarray = new AliFlowVector[2];
 384     if (fUsePhiWeights) {
 385       anEvent->Get2Qsub(vQarray,2,fWeightsList,kTRUE);
 386     } else {
 387       anEvent->Get2Qsub(vQarray);
 388     }
 389     //subevent a
 390     AliFlowVector vQa = vQarray[0];
 391     //subevent b
 392     AliFlowVector vQb = vQarray[1];
 393
 394     //check that the subevents are not empty:
 395     Double_t dMa = vQa.GetMult();
 396     Double_t dMb = vQb.GetMult();
 397     if (dMa != 0 && dMb != 0) {
 398
 399
 400       //request that the subevent multiplicities are not too different
 401       Double_t dRelDiff = TMath::Abs((dMa - dMb)/(dMa + dMb));
 402       if (dRelDiff < fRelDiffMsub) {
 403
 404         //fill control histograms
 405         fCommonHists->FillControlHistograms(anEvent);
 406
 407         //fill some SP control histograms
 408         fHistProQaQb -> Fill(1.,vQa*vQb,1.); //Fill with weight 1 -> Weight with MaMb????
 409         fHistQaQbCos ->Fill(TMath::ACos((vQa/vQa.Mod())*(vQb/vQb.Mod())));  //Acos(Qa*Qb) = angle
 410         fHistResolution -> Fill(TMath::Cos( vQa.Phi()- vQb.Phi() ));  //vQa.Phi() returns 2*phi
 411         fHistQaQb -> Fill(vQa*vQb);
 412         fHistMavsMb -> Fill(dMb,dMa);
 413
 414         //get total Q vector = the sum of subevent a and subevent b
 415         AliFlowVector vQ = vQa + vQb;
 416         //needed to correct for non-uniform acceptance:
 417         if(dMa+dMb>0.)
 418         {
 419          fHistProNonIsotropicTermsQ->Fill(1.,vQ.Y()/(dMa+dMb),dMa+dMb);
 420          fHistProNonIsotropicTermsQ->Fill(2.,vQ.X()/(dMa+dMb),dMa+dMb);
 421         }
 422         //weight the Q vectors for the subevents by the multiplicity
 423         //Note: Weight Q only in the particle loop when it is clear if it should be (m-1) or M
 424         Double_t dQXa = vQa.X()/dMa;
 425         Double_t dQYa = vQa.Y()/dMa;
 426         vQa.Set(dQXa,dQYa);
 427
 428         Double_t dQXb = vQb.X()/dMb;
 429         Double_t dQYb = vQb.Y()/dMb;
 430         vQb.Set(dQXb,dQYb);
 431
 432         //scalar product of the two subevents
 433         Double_t dQaQb = (vQa*vQb);
 434         fHistProQaQbNorm -> Fill(1.,dQaQb,dMa*dMb);  //Fill (QaQb/MaMb) with weight (MaMb).
 435         //needed for the error calculation:
 436         fHistSumOfLinearWeights -> Fill(0.,dMa*dMb);
 437         fHistSumOfQuadraticWeights -> Fill(0.,pow(dMa*dMb,2.));
 438             //needed for correcting non-uniform acceptance:
 439             fHistProQaQbReImNorm->Fill(1.,dQYa,dMa); // to get <<sin(phi_a)>>
 440             fHistProQaQbReImNorm->Fill(2.,dQXa,dMa); // to get <<cos(phi_a)>>
 441             fHistProQaQbReImNorm->Fill(3.,dQYb,dMb); // to get <<sin(phi_b)>>
 442             fHistProQaQbReImNorm->Fill(4.,dQXb,dMb); // to get <<cos(phi_b)>>
 443
 444         //fill some SP control histograms
 445         fHistQaQbNorm ->Fill(vQa*vQb);
 446         fHistQaNorm ->Fill(vQa.Mod());
 447         fHistQaNormvsMa->Fill(dMa,vQa.Mod());
 448         fHistQbNorm ->Fill(vQb.Mod());
 449         fHistQbNormvsMb->Fill(dMb,vQb.Mod());
 450
 451         //loop over the tracks of the event
 452         AliFlowTrackSimple*   pTrack = NULL;
 453         Int_t iNumberOfTracks = anEvent->NumberOfTracks();
 454         Double_t dMq =  vQ.GetMult();
 455
 456         for (Int_t i=0;i<iNumberOfTracks;i++)
 457           {
 458             pTrack = anEvent->GetTrack(i) ;
 459             if (pTrack){
 460               Double_t dPhi = pTrack->Phi();
 461               //set default phi weight to 1
 462               Double_t dW = 1.;
 463               //phi weight of pTrack
 464               if(fUsePhiWeights && fPhiWeightsSub0 && fPhiWeightsSub1) {
 465                 if (pTrack->InSubevent(0) ) {
 466                   Int_t iNBinsPhiSub0 = fPhiWeightsSub0->GetNbinsX();
 467                   dW = fPhiWeightsSub0->GetBinContent(1+(Int_t)(TMath::Floor(dPhi*iNBinsPhiSub0/TMath::TwoPi())));
 468                 }
 469                 else if ( pTrack->InSubevent(1)) {
 470                   Int_t iNBinsPhiSub1 = fPhiWeightsSub1->GetNbinsX();
 471                   dW = fPhiWeightsSub1->GetBinContent(1+(Int_t)(TMath::Floor(dPhi*iNBinsPhiSub1/TMath::TwoPi())));
 472                 }
 473                 //bin = 1 + value*nbins/range
 474                 //TMath::Floor rounds to the lower integer
 475               }
 476
 477               //calculate vU
 478               TVector2 vU;
 479               Double_t dUX = TMath::Cos(2*dPhi);
 480               Double_t dUY = TMath::Sin(2*dPhi);
 481               vU.Set(dUX,dUY);
 482               Double_t dModulus = vU.Mod();
 483               if (dModulus!=0.) vU.Set(dUX/dModulus,dUY/dModulus);  // make length 1
 484               else cerr<<"dModulus is zero!"<<endl;
 485
 486               //redefine the Q vector and devide by its multiplicity
 487               TVector2 vQm;
 488               Double_t dQmX = 0.;
 489               Double_t dQmY = 0.;
 490               //subtract particle from the flowvector if used to define it
 491               if (pTrack->InSubevent(0) || pTrack->InSubevent(1)) {
 492                 dQmX = (vQ.X() - dW*(pTrack->Weight())*dUX)/(dMq-1);
 493                 dQmY = (vQ.Y() - dW*(pTrack->Weight())*dUY)/(dMq-1);
 494                 vQm.Set(dQmX,dQmY);
 495
 496                 //dUQ = scalar product of vU and vQm
 497                 Double_t dUQ = (vU * vQm);
 498                 Double_t dPt = pTrack->Pt();
 499                 Double_t dEta = pTrack->Eta();
 500                 //fill the profile histograms
 501                 if (pTrack->InRPSelection()) {
 502                   fHistProUQetaRP -> Fill(dEta,dUQ,(dMq-1)); //Fill (Qu/(Mq-1)) with weight (Mq-1)
 503                   //needed for the error calculation:
 504                   fHistProUQQaQbEtaRP -> Fill(dEta,dUQ*dQaQb,(dMq-1)*dMa*dMb); //Fill [Qu/(Mq-1)]*[QaQb/MaMb] with weight (Mq-1)MaMb
 505                   fHistProUQPtRP -> Fill(dPt,dUQ,(dMq-1));                     //Fill (Qu/(Mq-1)) with weight (Mq-1)
 506                   fHistProUQQaQbPtRP -> Fill(dPt,dUQ*dQaQb,(dMq-1)*dMa*dMb);   //Fill [Qu/(Mq-1)]*[QaQb/MaMb] with weight (Mq-1)MaMb
 507
 508                   fHistSumOfWeightsEtaRP[0]->Fill(dEta,(dMq-1));        // sum of Mq-1
 509                   fHistSumOfWeightsEtaRP[1]->Fill(dEta,pow((dMq-1),2.));// sum of (Mq-1)^2
 510                   fHistSumOfWeightsEtaRP[2]->Fill(dEta,(dMq-1)*dMa*dMb);// sum of (Mq-1)*MaMb
 511                   fHistSumOfWeightsPtRP[0]->Fill(dPt,(dMq-1));          // sum of Mq-1
 512                   fHistSumOfWeightsPtRP[1]->Fill(dPt,pow((dMq-1),2.));  // sum of (Mq-1)^2
 513                   fHistSumOfWeightsPtRP[2]->Fill(dPt,(dMq-1)*dMa*dMb);  // sum of (Mq-1)*MaMb
 514                   //nonisotropic terms:
 515                   fHistProNonIsotropicTermsU[0][0][0]->Fill(dPt,dUY,1.);
 516                   fHistProNonIsotropicTermsU[0][0][1]->Fill(dPt,dUX,1.);
 517                   fHistProNonIsotropicTermsU[0][1][0]->Fill(dEta,dUY,1.);
 518                   fHistProNonIsotropicTermsU[0][1][1]->Fill(dEta,dUX,1.);
 519                 }
 520                 if (pTrack->InPOISelection()) {
 521                   fHistProUQetaPOI -> Fill(dEta,dUQ,(dMq-1));//Fill (Qu/(Mq-1)) with weight (Mq-1)
 522                   //needed for the error calculation:
 523                   fHistProUQQaQbEtaPOI -> Fill(dEta,dUQ*dQaQb,(dMq-1)*dMa*dMb); //Fill [Qu/(Mq-1)]*[QaQb/MaMb] with weight (Mq-1)MaMb
 524                   fHistProUQPtPOI -> Fill(dPt,dUQ,(dMq-1));                     //Fill (Qu/(Mq-1)) with weight (Mq-1)
 525                   fHistProUQQaQbPtPOI -> Fill(dPt,dUQ*dQaQb,(dMq-1)*dMa*dMb);   //Fill [Qu/(Mq-1)]*[QaQb/MaMb] with weight (Mq-1)MaMb
 526
 527                   fHistSumOfWeightsEtaPOI[0]->Fill(dEta,(dMq-1));        // sum of Mq-1
 528                   fHistSumOfWeightsEtaPOI[1]->Fill(dEta,pow((dMq-1),2.));// sum of (Mq-1)^2
 529                   fHistSumOfWeightsEtaPOI[2]->Fill(dEta,(dMq-1)*dMa*dMb);// sum of (Mq-1)*MaMb
 530                   fHistSumOfWeightsPtPOI[0]->Fill(dPt,(dMq-1));          // sum of Mq-1
 531                   fHistSumOfWeightsPtPOI[1]->Fill(dPt,pow((dMq-1),2.)); // sum of (Mq-1)^2
 532                   fHistSumOfWeightsPtPOI[2]->Fill(dPt,(dMq-1)*dMa*dMb); // sum of (Mq-1)*MaMb
 533                   //nonisotropic terms:
 534                   fHistProNonIsotropicTermsU[1][0][0]->Fill(dPt,dUY,1.);
 535                   fHistProNonIsotropicTermsU[1][0][1]->Fill(dPt,dUX,1.);
 536                   fHistProNonIsotropicTermsU[1][1][0]->Fill(dEta,dUY,1.);
 537                   fHistProNonIsotropicTermsU[1][1][1]->Fill(dEta,dUX,1.);
 538                 }
 539
 540               } else { //do not subtract the particle from the flowvector
 541                 dQmX = vQ.X()/dMq;
 542                 dQmY = vQ.Y()/dMq;
 543                 vQm.Set(dQmX,dQmY);
 544
 545                 //dUQ = scalar product of vU and vQm
 546                 Double_t dUQ = (vU * vQm);
 547                 Double_t dPt = pTrack->Pt();
 548                 Double_t dEta = pTrack->Eta();
 549                 //fill the profile histograms
 550                 if (pTrack->InRPSelection()) {
 551                   fHistProUQetaRP -> Fill(dEta,dUQ,dMq);                   //Fill (Qu/Mq) with weight Mq
 552                   //needed for the error calculation:
 553                   fHistProUQQaQbEtaRP -> Fill(dEta,dUQ*dQaQb,dMq*dMa*dMb); //Fill [Qu/Mq]*[QaQb/MaMb] with weight Mq*MaMb
 554                   fHistProUQPtRP -> Fill(dPt,dUQ,dMq);                     //Fill (Qu/Mq) with weight Mq
 555                   fHistProUQQaQbPtRP -> Fill(dPt,dUQ*dQaQb,dMq*dMa*dMb);   //Fill [Qu/Mq]*[QaQb/MaMb] with weight Mq*MaMb
 556
 557                   fHistSumOfWeightsEtaRP[0]->Fill(dEta,dMq);        // sum of Mq
 558                   fHistSumOfWeightsEtaRP[1]->Fill(dEta,pow(dMq,2.));// sum of Mq^2
 559                   fHistSumOfWeightsEtaRP[2]->Fill(dEta,dMq*dMa*dMb);// sum of Mq*MaMb
 560                   fHistSumOfWeightsPtRP[0]->Fill(dPt,dMq);          // sum of Mq
 561                   fHistSumOfWeightsPtRP[1]->Fill(dPt,pow(dMq,2.));  // sum of Mq^2
 562                   fHistSumOfWeightsPtRP[2]->Fill(dPt,dMq*dMa*dMb);  // sum of Mq*MaMb
 563                   //nonisotropic terms:
 564                   fHistProNonIsotropicTermsU[0][0][0]->Fill(dPt,dUY,1.);
 565                   fHistProNonIsotropicTermsU[0][0][1]->Fill(dPt,dUX,1.);
 566                   fHistProNonIsotropicTermsU[0][1][0]->Fill(dEta,dUY,1.);
 567                   fHistProNonIsotropicTermsU[0][1][1]->Fill(dEta,dUX,1.);
 568                 }
 569                 if (pTrack->InPOISelection()) {
 570                   fHistProUQetaPOI -> Fill(dEta,dUQ,dMq); //Fill (Qu/Mq) with weight Mq
 571                   //needed for the error calculation:
 572                   fHistProUQQaQbEtaPOI -> Fill(dEta,dUQ*dQaQb,dMq*dMa*dMb); //Fill [Qu/Mq]*[QaQb/MaMb] with weight Mq*MaMb
 573                   fHistProUQPtPOI -> Fill(dPt,dUQ,dMq);                     //Fill (Qu/Mq) with weight Mq
 574                   fHistProUQQaQbPtPOI -> Fill(dPt,dUQ*dQaQb,dMq*dMa*dMb);   //Fill [Qu/Mq]*[QaQb/MaMb] with weight Mq*MaMb
 575
 576                   fHistSumOfWeightsEtaPOI[0]->Fill(dEta,dMq);        // sum of Mq
 577                   fHistSumOfWeightsEtaPOI[1]->Fill(dEta,pow(dMq,2.));// sum of Mq^2
 578                   fHistSumOfWeightsEtaPOI[2]->Fill(dEta,dMq*dMa*dMb);// sum of Mq*MaMb
 579                   fHistSumOfWeightsPtPOI[0]->Fill(dPt,dMq);          // sum of Mq
 580                   fHistSumOfWeightsPtPOI[1]->Fill(dPt,pow(dMq,2.));  // sum of Mq^2
 581                   fHistSumOfWeightsPtPOI[2]->Fill(dPt,dMq*dMa*dMb);  // sum of Mq*MaMb
 582                   //nonisotropic terms:
 583                   fHistProNonIsotropicTermsU[1][0][0]->Fill(dPt,dUY,1.);
 584                   fHistProNonIsotropicTermsU[1][0][1]->Fill(dPt,dUX,1.);
 585                   fHistProNonIsotropicTermsU[1][1][0]->Fill(dEta,dUY,1.);
 586                   fHistProNonIsotropicTermsU[1][1][1]->Fill(dEta,dUX,1.);
 587                 }
 588               }//track not in subevents
 589
 590             }//track
 591
 592           }//loop over tracks
 593
 594         fEventNumber++;
 595
 596       } //difference Ma and Mb
 597
 598     }// subevents not empty
 599     delete [] vQarray;
 600
 601   } //event
 602
 603 }//end of Make()
 604
 605 //--------------------------------------------------------------------
 606 void AliFlowAnalysisWithScalarProduct::GetOutputHistograms(TList *outputListHistos){
 607
 608   //get pointers to all output histograms (called before Finish())
 609
 610   if (outputListHistos) {
 611   //Get the common histograms from the output list
 612     AliFlowCommonHist *pCommonHist = dynamic_cast<AliFlowCommonHist*>
 613       (outputListHistos->FindObject("AliFlowCommonHistSP"));
 614     AliFlowCommonHistResults *pCommonHistResults = dynamic_cast<AliFlowCommonHistResults*>
 615       (outputListHistos->FindObject("AliFlowCommonHistResultsSP"));
 616     TProfile* pHistProQaQb     = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_QaQb_SP"));
 617     TProfile* pHistProQaQbNorm = dynamic_cast<TProfile*>(outputListHistos->FindObject("FlowPro_QaQbNorm_SP"));
 618     TProfile* pHistProQaQbReImNorm = dynamic_cast<TProfile*>(outputListHistos->FindObject("FlowPro_QaQbReImNorm_SP"));
 619     TProfile* pHistProNonIsotropicTermsQ = dynamic_cast<TProfile*>(outputListHistos->FindObject("FlowPro_NonIsotropicTermsQ_SP"));
 620     TH1D*     pHistSumOfLinearWeights    = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_SumOfLinearWeights_SP"));
 621     TH1D*     pHistSumOfQuadraticWeights = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_SumOfQuadraticWeights_SP"));
 622
 623     TProfile* pHistProFlags    = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_Flags_SP"));
 624     TProfile* pHistProUQetaRP  = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQetaRP_SP"));
 625     TProfile* pHistProUQetaPOI = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQetaPOI_SP"));
 626     TProfile* pHistProUQPtRP   = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQPtRP_SP"));
 627     TProfile* pHistProUQPtPOI  = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQPtPOI_SP"));
 628     TProfile* pHistProUQQaQbPtRP    = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQQaQbPtRP_SP"));
 629     TProfile* pHistProUQQaQbEtaRP   = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQQaQbEtaRP_SP"));
 630     TProfile* pHistProUQQaQbPtPOI   = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQQaQbPtPOI_SP"));
 631     TProfile* pHistProUQQaQbEtaPOI  = dynamic_cast<TProfile*>(outputListHistos->FindObject("Flow_UQQaQbEtaPOI_SP"));
 632     TString weightFlag[3] = {"w_Qu_","w_Qu^2_","w_QuQaQb_"};
 633     TH1D* pHistSumOfWeightsPtRP[3] = {NULL};
 634     TH1D* pHistSumOfWeightsEtaRP[3] = {NULL};
 635     TH1D* pHistSumOfWeightsPtPOI[3] = {NULL};
 636     TH1D* pHistSumOfWeightsEtaPOI[3] = {NULL};
 637     for(Int_t i=0;i<3;i++)
 638     {
 639      pHistSumOfWeightsPtRP[i]   = dynamic_cast<TH1D*>(outputListHistos->FindObject(Form("Flow_SumOfWeights%sPtRP_SP",weightFlag[i].Data())));
 640      pHistSumOfWeightsEtaRP[i]  = dynamic_cast<TH1D*>(outputListHistos->FindObject(Form("Flow_SumOfWeights%sEtaRP_SP",weightFlag[i].Data())));
 641      pHistSumOfWeightsPtPOI[i]  = dynamic_cast<TH1D*>(outputListHistos->FindObject(Form("Flow_SumOfWeights%sPtPOI_SP",weightFlag[i].Data())));
 642      pHistSumOfWeightsEtaPOI[i] = dynamic_cast<TH1D*>(outputListHistos->FindObject(Form("Flow_SumOfWeights%sEtaPOI_SP",weightFlag[i].Data())));
 643     }
 644     TString rpPoi[2] = {"RP","POI"};
 645     TString ptEta[2] = {"Pt","Eta"};
 646     TString sinCos[2] = {"sin","cos"};
 647     TProfile *pHistProNonIsotropicTermsU[2][2][2] = {{{NULL}}};
 648     for(Int_t rp=0;rp<2;rp++)
 649     {
 650      for(Int_t pe=0;pe<2;pe++)
 651      {
 652       for(Int_t sc=0;sc<2;sc++)
 653       {
 654        pHistProNonIsotropicTermsU[rp][pe][sc] = dynamic_cast<TProfile*>(outputListHistos->FindObject(Form("Flow_NonIsotropicTerms_%s_%s_%s_SP",rpPoi[rp].Data(),ptEta[pe].Data(),sinCos[sc].Data())));
 655       }
 656      }
 657     }
 658
 659     TH1D*     pHistQaQb     = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_QaQb_SP"));
 660     TH1D*     pHistQaQbNorm = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_QaQbNorm_SP"));
 661     TH1D*     pHistQaQbCos  = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_QaQbCos_SP"));
 662     TH1D*     pHistResolution = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_resolution_SP"));
 663     TH1D*     pHistQaNorm   = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_QaNorm_SP"));
 664     TH2D*     pHistQaNormvsMa   = dynamic_cast<TH2D*>(outputListHistos->FindObject("Flow_QaNormvsMa_SP"));
 665     TH1D*     pHistQbNorm   = dynamic_cast<TH1D*>(outputListHistos->FindObject("Flow_QbNorm_SP"));
 666     TH2D*     pHistQbNormvsMb   = dynamic_cast<TH2D*>(outputListHistos->FindObject("Flow_QbNormvsMb_SP"));
 667     TH2D*     pHistMavsMb = dynamic_cast<TH2D*>(outputListHistos->FindObject("Flow_MavsMb_SP"));
 668
 669     //pass the pointers to the task
 670     if (pCommonHist && pCommonHistResults && pHistProQaQb && pHistProQaQbNorm &&
 671             pHistProQaQbReImNorm && pHistProNonIsotropicTermsQ &&
 672         pHistSumOfLinearWeights && pHistSumOfQuadraticWeights &&
 673         pHistQaQb && pHistQaQbNorm && pHistQaQbCos && pHistResolution &&
 674         pHistQaNorm && pHistQaNormvsMa && pHistQbNorm && pHistQbNormvsMb &&
 675         pHistMavsMb && pHistProFlags &&
 676         pHistProUQetaRP && pHistProUQetaPOI &&
 677         pHistProUQPtRP && pHistProUQPtPOI &&
 678         pHistProUQQaQbPtRP && pHistProUQQaQbEtaRP &&
 679         pHistProUQQaQbPtPOI && pHistProUQQaQbEtaPOI) {
 680       this -> SetCommonHists(pCommonHist);
 681       this -> SetCommonHistsRes(pCommonHistResults);
 682       this -> SetHistProQaQb(pHistProQaQb);
 683       this -> SetHistProQaQbNorm(pHistProQaQbNorm);
 684       this -> SetHistProQaQbReImNorm(pHistProQaQbReImNorm);
 685       this -> SetHistProNonIsotropicTermsQ(pHistProNonIsotropicTermsQ);
 686       this -> SetHistSumOfLinearWeights(pHistSumOfLinearWeights);
 687       this -> SetHistSumOfQuadraticWeights(pHistSumOfQuadraticWeights);
 688       this -> SetHistQaQb(pHistQaQb);
 689       this -> SetHistQaQbNorm(pHistQaQbNorm);
 690       this -> SetHistQaQbCos(pHistQaQbCos);
 691       this -> SetHistResolution(pHistResolution);
 692       this -> SetHistQaNorm(pHistQaNorm);
 693       this -> SetHistQaNormvsMa(pHistQaNormvsMa);
 694       this -> SetHistQbNorm(pHistQbNorm);
 695       this -> SetHistQbNormvsMb(pHistQbNormvsMb);
 696       this -> SetHistMavsMb(pHistMavsMb);
 697       this -> SetHistProFlags(pHistProFlags);
 698       this -> SetHistProUQetaRP(pHistProUQetaRP);
 699       this -> SetHistProUQetaPOI(pHistProUQetaPOI);
 700       this -> SetHistProUQPtRP(pHistProUQPtRP);
 701       this -> SetHistProUQPtPOI(pHistProUQPtPOI);
 702       this -> SetHistProUQQaQbPtRP(pHistProUQQaQbPtRP);
 703       this -> SetHistProUQQaQbEtaRP(pHistProUQQaQbEtaRP);
 704       this -> SetHistProUQQaQbPtPOI(pHistProUQQaQbPtPOI);
 705       this -> SetHistProUQQaQbEtaPOI(pHistProUQQaQbEtaPOI);
 706
 707       for(Int_t i=0;i<3;i++) {
 708         if(pHistSumOfWeightsPtRP[i]) this -> SetHistSumOfWeightsPtRP(pHistSumOfWeightsPtRP[i],i);
 709         if(pHistSumOfWeightsEtaRP[i]) this -> SetHistSumOfWeightsEtaRP(pHistSumOfWeightsEtaRP[i],i);
 710         if(pHistSumOfWeightsPtPOI[i]) this -> SetHistSumOfWeightsPtPOI(pHistSumOfWeightsPtPOI[i],i);
 711         if(pHistSumOfWeightsEtaPOI[i]) this -> SetHistSumOfWeightsEtaPOI(pHistSumOfWeightsEtaPOI[i],i);
 712       }
 713       for(Int_t rp=0;rp<2;rp++)
 714       {
 715        for(Int_t pe=0;pe<2;pe++)
 716        {
 717         for(Int_t sc=0;sc<2;sc++)
 718         {
 719          if(pHistProNonIsotropicTermsU[rp][pe][sc]) this->SetHistProNonIsotropicTermsU(pHistProNonIsotropicTermsU[rp][pe][sc],rp,pe,sc);
 720         }
 721        }
 722       }
 723
 724     } else {
 725       cout<<"WARNING: Histograms needed to run Finish() in SP are not accessable!"<<endl; }
 726
 727   } // end of if(outputListHistos)
 728 }
 729
 730 //--------------------------------------------------------------------
 731 void AliFlowAnalysisWithScalarProduct::Finish() {
 732
 733   //calculate flow and fill the AliFlowCommonHistResults
 734   if (fDebug) cout<<"AliFlowAnalysisWithScalarProduct::Finish()"<<endl;
 735
 736   //access all boolean flags needed in Finish():
 737   this->AccessFlags();
 738
 739   cout<<endl;
 740   cout<<"SP"<<endl;
 741   for(Int_t b=1;b<=10;b++)
 742   {
 743    cout<<"b = "<<b<<": "<<fHistProUQPtRP->GetBinContent(b)<<endl;
 744   }
 745
 746
 747   cout<<"*************************************"<<endl;
 748   cout<<"*************************************"<<endl;
 749   cout<<"      Integrated flow from           "<<endl;
 750   cout<<"         Scalar product              "<<endl;
 751   cout<<endl;
 752
 753   Int_t iNbinsPt  = AliFlowCommonConstants::GetMaster()->GetNbinsPt();
 754   Int_t iNbinsEta = AliFlowCommonConstants::GetMaster()->GetNbinsEta();
 755
 756   //Calculate the event plane resolution
 757   //----------------------------------
 758   Double_t dCos2phi = fHistResolution->GetMean();
 759   if (dCos2phi > 0.0){
 760     Double_t dResolution = TMath::Sqrt(2*dCos2phi);
 761     cout<<"An estimate of the event plane resolution is: "<<dResolution<<endl;
 762     cout<<endl;
 763   }
 764
 765   //Calculate reference flow (noname)
 766   //----------------------------------
 767   //weighted average over (QaQb/MaMb) with weight (MaMb)
 768   Double_t dQaQb  = fHistProQaQbNorm->GetBinContent(1);
 769   //non-isotropic terms:
 770   Double_t dImQa = fHistProQaQbReImNorm->GetBinContent(1);
 771   Double_t dReQa = fHistProQaQbReImNorm->GetBinContent(2);
 772   Double_t dImQb = fHistProQaQbReImNorm->GetBinContent(3);
 773   Double_t dReQb = fHistProQaQbReImNorm->GetBinContent(4);
 774
 775   if(fApplyCorrectionForNUA)
 776   {
 777    dQaQb = dQaQb - dImQa*dImQb - dReQa*dReQb;
 778   }
 779
 780   Double_t dV = -999.;
 781   if(dQaQb>=0.)
 782   {
 783    dV = TMath::Sqrt(dQaQb);
 784   }
 785   //statistical error of dQaQb:
 786   //  statistical error = term1 * spread * term2:
 787   //  term1 = sqrt{sum_{i=1}^{N} w^2}/(sum_{i=1}^{N} w)
 788   //  term2 = 1/sqrt(1-term1^2)
 789   Double_t dSpreadQaQb = fHistProQaQbNorm->GetBinError(1);
 790   Double_t dSumOfLinearWeights = fHistSumOfLinearWeights->GetBinContent(1);
 791   Double_t dSumOfQuadraticWeights = fHistSumOfQuadraticWeights->GetBinContent(1);
 792   Double_t dTerm1 = 0.;
 793   Double_t dTerm2 = 0.;
 794   if(dSumOfLinearWeights) {
 795     dTerm1 = pow(dSumOfQuadraticWeights,0.5)/dSumOfLinearWeights;
 796   }
 797   if(1.-pow(dTerm1,2.) > 0.) {
 798     dTerm2 = 1./pow(1-pow(dTerm1,2.),0.5);
 799   }
 800   Double_t dStatErrorQaQb = dTerm1 * dSpreadQaQb * dTerm2;
 801   //calculate the statistical error
 802   Double_t dVerr = 0.;
 803   if(dQaQb > 0.) {
 804     dVerr = (1./(2.*pow(dQaQb,0.5)))*dStatErrorQaQb;
 805   }
 806   fCommonHistsRes->FillIntegratedFlow(dV,dVerr);
 807   cout<<"dV = "<<dV<<" +- "<<dVerr<<endl;
 808
 809   //Calculate differential flow and integrated flow (RP, POI)
 810   //---------------------------------------------------------
 811   //v as a function of eta for RP selection
 812   for(Int_t b=1;b<iNbinsEta+1;b++) {
 813     Double_t duQpro = fHistProUQetaRP->GetBinContent(b);
 814     if(fApplyCorrectionForNUA)
 815     {
 816      duQpro = duQpro
 817             - fHistProNonIsotropicTermsU[0][1][1]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(2)
 818             - fHistProNonIsotropicTermsU[0][1][0]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(1);
 819     }
 820     Double_t dv2pro = -999.;
 821     if (dV!=0.) { dv2pro = duQpro/dV; }
 822     //calculate the statistical error
 823     Double_t dv2ProErr = CalculateStatisticalError(b, dStatErrorQaQb, fHistProUQetaRP, fHistProUQQaQbEtaRP, fHistSumOfWeightsEtaRP);
 824     //fill TH1D
 825     fCommonHistsRes->FillDifferentialFlowEtaRP(b, dv2pro, dv2ProErr);
 826   } //loop over bins b
 827
 828
 829   //v as a function of eta for POI selection
 830   for(Int_t b=1;b<iNbinsEta+1;b++) {
 831     Double_t duQpro = fHistProUQetaPOI->GetBinContent(b);
 832     if(fApplyCorrectionForNUA)
 833     {
 834      duQpro = duQpro
 835             - fHistProNonIsotropicTermsU[1][1][1]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(2)
 836             - fHistProNonIsotropicTermsU[1][1][0]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(1);
 837     }
 838     Double_t dv2pro = -999.;
 839     if (dV!=0.) { dv2pro = duQpro/dV; }
 840     //calculate the statistical error
 841     Double_t dv2ProErr = CalculateStatisticalError(b, dStatErrorQaQb, fHistProUQetaPOI, fHistProUQQaQbEtaPOI, fHistSumOfWeightsEtaPOI);
 842
 843     //fill TH1D
 844     fCommonHistsRes->FillDifferentialFlowEtaPOI(b, dv2pro, dv2ProErr);
 845   } //loop over bins b
 846
 847
 848   //v as a function of Pt for RP selection
 849   TH1F* fHistPtRP = fCommonHists->GetHistPtRP(); //for calculating integrated flow
 850   Double_t dVRP = 0.;
 851   Double_t dSumRP = 0.;
 852   Double_t dErrVRP =0.;
 853
 854   for(Int_t b=1;b<iNbinsPt+1;b++) {
 855     Double_t duQpro = fHistProUQPtRP->GetBinContent(b);
 856     if(fApplyCorrectionForNUA)
 857     {
 858      duQpro = duQpro
 859             - fHistProNonIsotropicTermsU[0][0][1]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(2)
 860             - fHistProNonIsotropicTermsU[0][0][0]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(1);
 861     }
 862     Double_t dv2pro = -999.;
 863     if (dV!=0.) { dv2pro = duQpro/dV; }
 864     //calculate the statistical error
 865     Double_t dv2ProErr = CalculateStatisticalError(b, dStatErrorQaQb, fHistProUQPtRP, fHistProUQQaQbPtRP, fHistSumOfWeightsPtRP);
 866
 867     //fill TH1D
 868     fCommonHistsRes->FillDifferentialFlowPtRP(b, dv2pro, dv2ProErr);
 869
 870     //calculate integrated flow for RP selection
 871     if (fHistPtRP){
 872       Double_t dYieldPt = fHistPtRP->GetBinContent(b);
 873       dVRP += dv2pro*dYieldPt;
 874       dSumRP +=dYieldPt;
 875       dErrVRP += dYieldPt*dYieldPt*dv2ProErr*dv2ProErr;
 876     } else { cout<<"fHistPtRP is NULL"<<endl; }
 877   } //loop over bins b
 878
 879   if (dSumRP != 0.) {
 880     dVRP /= dSumRP; //the pt distribution should be normalised
 881     dErrVRP /= (dSumRP*dSumRP);
 882     dErrVRP = TMath::Sqrt(dErrVRP);
 883   }
 884   fCommonHistsRes->FillIntegratedFlowRP(dVRP,dErrVRP);
 885   cout<<"dV(RP) = "<<dVRP<<" +- "<<dErrVRP<<endl;
 886
 887
 888   //v as a function of Pt for POI selection
 889   TH1F* fHistPtPOI = fCommonHists->GetHistPtPOI(); //for calculating integrated flow
 890   Double_t dVPOI = 0.;
 891   Double_t dSumPOI = 0.;
 892   Double_t dErrVPOI =0.;
 893
 894   for(Int_t b=1;b<iNbinsPt+1;b++) {
 895     Double_t duQpro = fHistProUQPtPOI->GetBinContent(b);
 896     if(fApplyCorrectionForNUA)
 897     {
 898      duQpro = duQpro
 899             - fHistProNonIsotropicTermsU[1][0][1]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(2)
 900             - fHistProNonIsotropicTermsU[1][0][0]->GetBinContent(b)*fHistProNonIsotropicTermsQ->GetBinContent(1);
 901     }
 902     Double_t dv2pro = -999.;
 903     if (dV!=0.) { dv2pro = duQpro/dV; }
 904     //calculate the statistical error
 905     Double_t dv2ProErr = CalculateStatisticalError(b, dStatErrorQaQb, fHistProUQPtPOI, fHistProUQQaQbPtPOI, fHistSumOfWeightsPtPOI);
 906
 907     //fill TH1D
 908     fCommonHistsRes->FillDifferentialFlowPtPOI(b, dv2pro, dv2ProErr);
 909
 910     //calculate integrated flow for POI selection
 911     if (fHistPtPOI){
 912       Double_t dYieldPt = fHistPtPOI->GetBinContent(b);
 913       dVPOI += dv2pro*dYieldPt;
 914       dSumPOI +=dYieldPt;
 915       dErrVPOI += dYieldPt*dYieldPt*dv2ProErr*dv2ProErr;
 916     } else { cout<<"fHistPtPOI is NULL"<<endl; }
 917   } //loop over bins b
 918
 919   if (dSumPOI != 0.) {
 920     dVPOI /= dSumPOI; //the pt distribution should be normalised
 921     dErrVPOI /= (dSumPOI*dSumPOI);
 922     dErrVPOI = TMath::Sqrt(dErrVPOI);
 923   }
 924   fCommonHistsRes->FillIntegratedFlowPOI(dVPOI,dErrVPOI);
 925   cout<<"dV(POI) = "<<dVPOI<<" +- "<<dErrVPOI<<endl;
 926
 927   cout<<endl;
 928   cout<<"*************************************"<<endl;
 929   cout<<"*************************************"<<endl;
 930
 931   //cout<<".....finished"<<endl;
 932 }
 933
 934
 935 //--------------------------------------------------------------------
 936 Double_t AliFlowAnalysisWithScalarProduct::CalculateStatisticalError(Int_t b, Double_t aStatErrorQaQb, TProfile* pHistProUQ, TProfile* pHistProUQQaQb, TH1D** pHistSumOfWeights) {
 937   //calculate the statistical error for differential flow for bin b
 938   Double_t duQproSpread = pHistProUQ->GetBinError(b);
 939   Double_t sumOfMq = pHistSumOfWeights[0]->GetBinContent(b);
 940   Double_t sumOfMqSquared = pHistSumOfWeights[1]->GetBinContent(b);
 941   Double_t dQaQb = fHistProQaQbNorm->GetBinContent(1);
 942   Double_t dTerm1 = 0.;
 943   Double_t dTerm2 = 0.;
 944   if(sumOfMq) {
 945     dTerm1 = (pow(sumOfMqSquared,0.5)/sumOfMq);
 946   }
 947   if(1.-pow(dTerm1,2.)>0.) {
 948     dTerm2 = 1./pow(1.-pow(dTerm1,2.),0.5);
 949   }
 950   Double_t duQproErr = dTerm1*duQproSpread*dTerm2;
 951   // covariances:
 952   Double_t dTerm1Cov = pHistSumOfWeights[2]->GetBinContent(b);
 953   Double_t dTerm2Cov = fHistSumOfLinearWeights->GetBinContent(1);
 954   Double_t dTerm3Cov = sumOfMq;
 955   Double_t dWeightedCovariance = 0.;
 956   if(dTerm2Cov*dTerm3Cov>0.) {
 957     Double_t dDenominator = 1.-dTerm1Cov/(dTerm2Cov*dTerm3Cov);
 958     Double_t dPrefactor = dTerm1Cov/(dTerm2Cov*dTerm3Cov);
 959     if(dDenominator!=0) {
 960       Double_t dCovariance = (pHistProUQQaQb->GetBinContent(b)-dQaQb*pHistProUQ->GetBinContent(b))/dDenominator;
 961       dWeightedCovariance = dCovariance*dPrefactor;
 962     }
 963   }
 964
 965   Double_t dv2ProErr = 0.; // final statitical error:
 966   if(dQaQb>0.) {
 967     Double_t dv2ProErrorSquared = (1./4.)*pow(dQaQb,-3.)*
 968       (pow(pHistProUQ->GetBinContent(b),2.)*pow(aStatErrorQaQb,2.)
 969        + 4.*pow(dQaQb,2.)*pow(duQproErr,2.)
 970        - 4.*dQaQb*pHistProUQ->GetBinContent(b)*dWeightedCovariance);
 971     if(dv2ProErrorSquared>0.) dv2ProErr = pow(dv2ProErrorSquared,0.5);
 972   }
 973
 974   return dv2ProErr;
 975 }
 976
 977
 978 //--------------------------------------------------------------------
 979
 980 void AliFlowAnalysisWithScalarProduct::StoreFlags()
 981 {
 982  // Store all boolean flags needed in Finish() in profile fHistProFlags.
 983
 984  // Apply correction for non-uniform acceptance or not:
 985  fHistProFlags->Fill(0.5,fApplyCorrectionForNUA);
 986
 987 }
 988
 989 //--------------------------------------------------------------------
 990
 991 void AliFlowAnalysisWithScalarProduct::AccessFlags()
 992 {
 993  // Access all boolean flags needed in Finish() from profile fHistProFlags.
 994
 995  // Apply correction for non-uniform acceptance or not:
 996  fApplyCorrectionForNUA = (Bool_t) fHistProFlags->GetBinContent(1);
 997
 998 }
 999
1000 //--------------------------------------------------------------------