X-Git-Url: http://git.uio.no/git/?a=blobdiff_plain;f=PWG2%2FFLOW%2FAliFlowCommon%2FAliFlowAnalysisWithQCumulants.cxx;h=073d3f89353e64e5368aff9fae1fc74243d4cccc;hb=85d2ee8d3c6f05e0e72c8896a94b71451022ff0c;hp=8a0abaaa0d868593aff8a352fc1d6c43e515d829;hpb=a3e797b147661f55cb1185ff37c0e2351fd1f425;p=u%2Fmrichter%2FAliRoot.git diff --git a/PWG2/FLOW/AliFlowCommon/AliFlowAnalysisWithQCumulants.cxx b/PWG2/FLOW/AliFlowCommon/AliFlowAnalysisWithQCumulants.cxx index 8a0abaaa0d8..073d3f89353 100644 --- a/PWG2/FLOW/AliFlowCommon/AliFlowAnalysisWithQCumulants.cxx +++ b/PWG2/FLOW/AliFlowCommon/AliFlowAnalysisWithQCumulants.cxx @@ -1,8538 +1,12285 @@ -/************************************************************************* -* Copyright(c) 1998-2008, ALICE Experiment at CERN, All rights reserved. * -* * -* Author: The ALICE Off-line Project. * -* Contributors are mentioned in the code where appropriate. * -* * -* Permission to use, copy, modify and distribute this software and its * -* documentation strictly for non-commercial purposes is hereby granted * -* without fee, provided that the above copyright notice appears in all * -* copies and that both the copyright notice and this permission notice * -* appear in the supporting documentation. The authors make no claims * -* about the suitability of this software for any purpose. It is * -* provided "as is" without express or implied warranty. * -**************************************************************************/ - -/********************************** - * flow analysis with Q-cumulants * - * * - * author: Ante Bilandzic * - * (anteb@nikhef.nl) * - *********************************/ - -#define AliFlowAnalysisWithQCumulants_cxx - -#include "Riostream.h" -#include "AliFlowCommonConstants.h" -#include "AliFlowCommonHist.h" -#include "AliFlowCommonHistResults.h" -#include "TChain.h" -#include "TFile.h" -#include "TList.h" -#include "TGraph.h" -#include "TParticle.h" -#include "TRandom3.h" -#include "TStyle.h" -#include "TProfile.h" -#include "TProfile2D.h" -#include "TProfile3D.h" -#include "TMath.h" -#include "TArrow.h" -#include "TPaveLabel.h" -#include "TCanvas.h" -#include "AliFlowEventSimple.h" -#include "AliFlowTrackSimple.h" -#include "AliFlowAnalysisWithQCumulants.h" -#include "TArrayD.h" -#include "TRandom.h" -#include "TF1.h" - -class TH1; -class TH2; -class TGraph; -class TPave; -class TLatex; -class TMarker; -class TRandom3; -class TObjArray; -class TList; -class TCanvas; -class TSystem; -class TROOT; -class AliFlowVector; -class TVector; - - -//================================================================================================================ - - -ClassImp(AliFlowAnalysisWithQCumulants) - -AliFlowAnalysisWithQCumulants::AliFlowAnalysisWithQCumulants(): - // 0.) base: - fHistList(NULL), - // 1.) common: - fCommonHists(NULL), - fCommonHists2nd(NULL), - fCommonHists4th(NULL), - fCommonHists6th(NULL), - fCommonHists8th(NULL), - fCommonHistsResults2nd(NULL), - fCommonHistsResults4th(NULL), - fCommonHistsResults6th(NULL), - fCommonHistsResults8th(NULL), - fnBinsPhi(0), - fPhiMin(0), - fPhiMax(0), - fPhiBinWidth(0), - fnBinsPt(0), - fPtMin(0), - fPtMax(0), - fPtBinWidth(0), - fnBinsEta(0), - fEtaMin(0), - fEtaMax(0), - fEtaBinWidth(0), - fHarmonic(2), - fAnalysisLabel(NULL), - // 2.) weights: - fWeightsList(NULL), - fUsePhiWeights(kFALSE), - fUsePtWeights(kFALSE), - fUseEtaWeights(kFALSE), - fUseParticleWeights(NULL), - fPhiWeights(NULL), - fPtWeights(NULL), - fEtaWeights(NULL), - // 3.) integrated flow: - fIntFlowList(NULL), - fIntFlowProfiles(NULL), - fIntFlowResults(NULL), - fIntFlowFlags(NULL), - fApplyCorrectionForNUA(kTRUE), - fReQ(NULL), - fImQ(NULL), - fSMpk(NULL), - fIntFlowCorrelationsEBE(NULL), - fIntFlowCorrelationsAllEBE(NULL), - fAvMultiplicity(NULL), - fIntFlowCorrelationsPro(NULL), - fIntFlowCorrelationsAllPro(NULL), - fIntFlowProductOfCorrelationsPro(NULL), - fIntFlowCorrelationsHist(NULL), - fIntFlowCorrelationsAllHist(NULL), - fIntFlowCovariances(NULL), - fIntFlowSumOfProductOfEventWeights(NULL), - fIntFlowQcumulants(NULL), - fIntFlow(NULL), - // 4.) differential flow: - fDiffFlowList(NULL), - fDiffFlowProfiles(NULL), - fDiffFlowResults(NULL), - fDiffFlowFlags(NULL), - fCalculate2DFlow(kFALSE), - // 5.) distributions: - fDistributionsList(NULL), - // x.) debugging and cross-checking: - fNestedLoopsList(NULL), - fEvaluateNestedLoopsForIntFlow(kFALSE), - fEvaluateNestedLoopsForDiffFlow(kFALSE), - fEvaluateNestedLoops(NULL), - fDirectCorrelations(NULL), - fDirectCorrectionsCos(NULL), - fDirectCorrectionsSin(NULL), - fDirectCorrelationsDiffFlow(NULL), - fDirectCorrectionsDiffFlowCos(NULL), - fDirectCorrectionsDiffFlowSin(NULL), - fDirectCorrelationsW(NULL), - fDirectCorrectionsCosW(NULL), - fDirectCorrectionsSinW(NULL), - fDirectCorrelationsDiffFlowW(NULL), - fDirectCorrectionsDiffFlowCosW(NULL), - fDirectCorrectionsDiffFlowSinW(NULL) - { - // constructor - - // base list to hold all output objects: - fHistList = new TList(); - fHistList->SetName("cobjQC"); - fHistList->SetOwner(kTRUE); - - // list to hold histograms with phi, pt and eta weights: - fWeightsList = new TList(); - - // analysis label; - fAnalysisLabel = new TString(); - - // initialize all arrays: - this->InitializeArraysForIntFlow(); - this->InitializeArraysForDiffFlow(); - this->InitializeArraysForDistributions(); - - } // end of constructor - - -//================================================================================================================ - - -AliFlowAnalysisWithQCumulants::~AliFlowAnalysisWithQCumulants() -{ - // destructor - - delete fHistList; - -} // end of AliFlowAnalysisWithQCumulants::~AliFlowAnalysisWithQCumulants() - - -//================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::Init() -{ - // a) Access all common constants; - // b) Book all objects; - // c) Store flags for integrated and differential flow; - // d) Store harmonic which will be estimated. - - // a) Access all common constants: - this->AccessConstants(); - - // b) Book all objects: - this->BookAndFillWeightsHistograms(); - this->BookAndNestAllLists(); - this->BookCommonHistograms(); - this->BookEverythingForIntegratedFlow(); - this->BookEverythingForDifferentialFlow(); - this->BookEverythingForDistributions(); - this->BookEverythingForNestedLoops(); - - // c) Store flags for integrated and differential flow: - this->StoreIntFlowFlags(); - this->StoreDiffFlowFlags(); - - // d) Store harmonic which will be estimated: - this->StoreHarmonic(); - -} // end of void AliFlowAnalysisWithQCumulants::Init() - - -//================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent) -{ - // running over data only in this method - - // a) fill the common control histograms and call method to fill fAvMultiplicity; - // b) loop over data to calculate e-b-e quantities; - // c) call the methods; - // d) debugging and cross-checking (evaluate nested loops); - // e) reset e-b-e quantities. - - Double_t dPhi = 0.; // azimuthal angle in the laboratory frame - Double_t dPt = 0.; // transverse momentum - Double_t dEta = 0.; // pseudorapidity - - Double_t wPhi = 1.; // phi weight - Double_t wPt = 1.; // pt weight - Double_t wEta = 1.; // eta weight - - // ******************************************** - // **** FILL THE COMMON CONTROL HISTOGRAMS **** - // ******************************************** - - Int_t nRP = anEvent->GetEventNSelTracksRP(); // number of RPs (i.e. number of particles used to determine the reaction plane) - - fCommonHists->FillControlHistograms(anEvent); - - if(nRP>1) - { - fCommonHists2nd->FillControlHistograms(anEvent); - if(nRP>3) - { - fCommonHists4th->FillControlHistograms(anEvent); - if(nRP>5) - { - fCommonHists6th->FillControlHistograms(anEvent); - if(nRP>7) - { - fCommonHists8th->FillControlHistograms(anEvent); - } // end of if(nRP>7) - } // end of if(nRP>5) - } // end of if(nRP>3) - } // end of if(nRP>1) - - this->FillAverageMultiplicities(nRP); - - // ******************************************************* - // **** LOOP OVER DATA AND CALCULATE E-B-E QUANTITIES **** - // ******************************************************* - - Int_t nPrim = anEvent->NumberOfTracks(); // nPrim = total number of primary tracks, i.e. nPrim = nRP + nPOI + rest, where: - // nRP = # of particles used to determine the reaction plane; - // nPOI = # of particles of interest for a detailed flow analysis; - // rest = # of particles which are not niether RPs nor POIs. - - AliFlowTrackSimple *aftsTrack = NULL; - - for(Int_t i=0;iGetTrack(i); - if(aftsTrack) - { - if(!(aftsTrack->InRPSelection() || aftsTrack->InPOISelection())) continue; // consider only tracks which are RPs or POIs - Int_t n = fHarmonic; // shortcut for the harmonic - if(aftsTrack->InRPSelection()) // RP condition: - { - dPhi = aftsTrack->Phi(); - dPt = aftsTrack->Pt(); - dEta = aftsTrack->Eta(); - if(fUsePhiWeights && fPhiWeights && fnBinsPhi) // determine phi weight for this particle: - { - wPhi = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(dPhi*fnBinsPhi/TMath::TwoPi()))); - } - if(fUsePtWeights && fPtWeights && fnBinsPt) // determine pt weight for this particle: - { - wPt = fPtWeights->GetBinContent(1+(Int_t)(TMath::Floor((dPt-fPtMin)/fPtBinWidth))); - } - if(fUseEtaWeights && fEtaWeights && fEtaBinWidth) // determine eta weight for this particle: - { - wEta = fEtaWeights->GetBinContent(1+(Int_t)(TMath::Floor((dEta-fEtaMin)/fEtaBinWidth))); - } - - // integrated flow: - // calculate Re[Q_{m*n,k}] and Im[Q_{m*n,k}], m = 1,2,3,4, for this event: - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - (*fReQ)(m,k)+=pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1)*n*dPhi); - (*fImQ)(m,k)+=pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1)*n*dPhi); - } - } - // calculate S^{M}_{p,k} for this event - // Remark: final calculation of S^{M}_{p,k} follows after the loop over data bellow: - for(Int_t p=0;p<8;p++) - { - for(Int_t k=0;k<9;k++) - { - (*fSMpk)(p,k)+=pow(wPhi*wPt*wEta,k); - } - } - - // differential flow: - // 1D (pt): - // (r_{m*m,k}(pt)): - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - fReRPQ1dEBE[0][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ1dEBE[0][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); - } - } - - // s_{k}(pt) for RPs // to be improved (clarified) - // Remark: final calculation of s_{p,k}(pt) follows after the loop over data bellow: - for(Int_t k=0;k<9;k++) - { - fs1dEBE[0][0][k]->Fill(dPt,pow(wPhi*wPt*wEta,k),1.); - } - // 1D (eta): - // (r_{m*m,k}(eta)): - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - fReRPQ1dEBE[0][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ1dEBE[0][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); - } - } - // s_{k}(eta) for RPs // to be improved (clarified) - // Remark: final calculation of s_{p,k}(eta) follows after the loop over data bellow: - for(Int_t k=0;k<9;k++) - { - fs1dEBE[0][1][k]->Fill(dEta,pow(wPhi*wPt*wEta,k),1.); - } - - - - /* - // 2D (pt,eta): - if(fCalculate2DFlow) - { - // (r_{m*m,k}(pt,eta)): - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - fReRPQ2dEBE[0][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ2dEBE[0][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); - } - } - // s_{k}(pt,eta) for RPs // to be improved (clarified) - // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: - for(Int_t k=0;k<9;k++) - { - fs2dEBE[0][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k),1.); - } - } // end of if(fCalculate2DFlow) - */ - - - - if(aftsTrack->InPOISelection()) - { - // 1D (pt): - // (q_{m*m,k}(pt)): - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - fReRPQ1dEBE[2][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ1dEBE[2][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); - } - } - // s_{k}(pt) for RP&&POIs // to be improved (clarified) - // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: - for(Int_t k=0;k<9;k++) - { - fs1dEBE[2][0][k]->Fill(dPt,pow(wPhi*wPt*wEta,k),1.); - } - // 1D (eta): - // (q_{m*m,k}(eta)): - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - fReRPQ1dEBE[2][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ1dEBE[2][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); - } - } - // s_{k}(eta) for RP&&POIs // to be improved (clarified) - // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: - for(Int_t k=0;k<9;k++) - { - fs1dEBE[2][1][k]->Fill(dEta,pow(wPhi*wPt*wEta,k),1.); - } - - /* - // 2D (pt,eta) - if(fCalculate2DFlow) - { - // (q_{m*m,k}(pt,eta)): - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - fReRPQ2dEBE[2][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ2dEBE[2][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); - } - } - // s_{k}(pt,eta) for RP&&POIs // to be improved (clarified) - // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: - for(Int_t k=0;k<9;k++) - { - fs2dEBE[2][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k),1.); - } - } // end of if(fCalculate2DFlow) - */ - - } // end of if(aftsTrack->InPOISelection()) - - - - } // end of if(pTrack->InRPSelection()) - - - - if(aftsTrack->InPOISelection()) - { - dPhi = aftsTrack->Phi(); - dPt = aftsTrack->Pt(); - dEta = aftsTrack->Eta(); - - // 1D (pt) - // p_n(m*n,0): - for(Int_t m=0;m<4;m++) - { - fReRPQ1dEBE[1][0][m][0]->Fill(dPt,TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ1dEBE[1][0][m][0]->Fill(dPt,TMath::Sin((m+1.)*n*dPhi),1.); - } - // 1D (eta) - // p_n(m*n,0): - for(Int_t m=0;m<4;m++) - { - fReRPQ1dEBE[1][1][m][0]->Fill(dEta,TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ1dEBE[1][1][m][0]->Fill(dEta,TMath::Sin((m+1.)*n*dPhi),1.); - } - - - /* - // 2D (pt,eta): - if(fCalculate2DFlow) - { - // p_n(m*n,0): - for(Int_t m=0;m<4;m++) - { - fReRPQ2dEBE[1][m][0]->Fill(dPt,dEta,TMath::Cos((m+1.)*n*dPhi),1.); - fImRPQ2dEBE[1][m][0]->Fill(dPt,dEta,TMath::Sin((m+1.)*n*dPhi),1.); - } - } // end of if(fCalculate2DFlow) - */ - - - } // end of if(pTrack->InPOISelection() ) - - - } else // to if(aftsTrack) - { - cout<1) this->CalculateIntFlowCorrelations(); - if(nRP>3) this->CalculateIntFlowProductOfCorrelations(); - if(nRP>1) this->CalculateIntFlowSumOfEventWeights(); - if(nRP>1) this->CalculateIntFlowSumOfProductOfEventWeights(); - if(fApplyCorrectionForNUA) - { - if(nRP>0) this->CalculateIntFlowCorrectionsForNUASinTerms(); - if(nRP>0) this->CalculateIntFlowCorrectionsForNUACosTerms(); - } - // with weights: - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) - { - //if(nRP>1) this->CalculateWeightedCorrelationsForIntegratedFlow(); - //if(nRP>3) this->CalculateWeightedQProductsForIntFlow(); - } - } - - // differential flow: - if(!fEvaluateNestedLoopsForDiffFlow) - { - // 1D differential flow (without usage of particle weights): - if(nRP>1) - { - this->CalculateReducedCorrelations1D("RP","Pt"); - this->CalculateReducedCorrelations1D("RP","Eta"); - this->CalculateReducedCorrelations1D("POI","Pt"); - this->CalculateReducedCorrelations1D("POI","Eta"); - this->CalculateDiffFlowProductOfCorrelations("RP","Pt"); - this->CalculateDiffFlowProductOfCorrelations("RP","Eta"); - this->CalculateDiffFlowProductOfCorrelations("POI","Pt"); - this->CalculateDiffFlowProductOfCorrelations("POI","Eta"); - this->CalculateDiffFlowSumOfEventWeights("RP","Pt"); - this->CalculateDiffFlowSumOfEventWeights("RP","Eta"); - this->CalculateDiffFlowSumOfEventWeights("POI","Pt"); - this->CalculateDiffFlowSumOfEventWeights("POI","Eta"); - this->CalculateDiffFlowSumOfProductOfEventWeights("RP","Pt"); - this->CalculateDiffFlowSumOfProductOfEventWeights("RP","Eta"); - this->CalculateDiffFlowSumOfProductOfEventWeights("POI","Pt"); - this->CalculateDiffFlowSumOfProductOfEventWeights("POI","Eta"); - } - - // with weights: - // ... - - /* - // 2D differential flow - if(fCalculate2DFlow) - { - // without weights: - if(nRP>1) this->CalculateCorrelationsForDifferentialFlow2D("RP"); - if(nRP>1) this->CalculateCorrelationsForDifferentialFlow2D("POI"); - - // with weights: - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) - { - if(nRP>1) this->CalculateWeightedCorrelationsForDifferentialFlow2D("RP"); - if(nRP>1) this->CalculateWeightedCorrelationsForDifferentialFlow2D("POI"); - } - } // end of if(fCalculate2DFlow) - */ - - } - - // ************************************************************** - // **** DEBUGGING AND CROSS-CHECKING (EVALUATE NESTED LOOPS) **** - // ************************************************************** - - if(fEvaluateNestedLoopsForIntFlow) - { - if(nPrim>0 && nPrim<15) // only for these multiplicities it is feasible to evaluate 8 nested loops in short time - { - // without weights: - if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) - { - this->CalculateIntFlowCorrelations(); - this->CalculateIntFlowCorrectionsForNUASinTerms(); - this->CalculateIntFlowCorrectionsForNUACosTerms(); - } - // with weights: - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) - { - this->CalculateWeightedCorrelationsForIntegratedFlow(); - } - - this->EvaluateNestedLoopsForIntegratedFlow(anEvent); - } - } - - if(fEvaluateNestedLoopsForDiffFlow) - { - if(nPrim>0 && nPrim<15) // only for these multiplicities it is feasible to evaluate 8 nested loops in short time - { - // without weights: - if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) - { - this->CalculateCorrelationsForDifferentialFlow2D("RP"); - this->CalculateCorrelationsForDifferentialFlow2D("POI"); - } - // with weights: - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) - { - this->CalculateWeightedCorrelationsForDifferentialFlow2D("RP"); - this->CalculateWeightedCorrelationsForDifferentialFlow2D("POI"); - } - - this->EvaluateNestedLoopsForDifferentialFlow(anEvent); - } - } - - // ******************************** - // **** RESET E-B-E QUANTITIES **** - // ******************************** - - // integrated flow: - fReQ->Zero(); - fImQ->Zero(); - fSMpk->Zero(); - fIntFlowCorrelationsEBE->Reset(); - fIntFlowCorrelationsAllEBE->Reset(); - - if(fApplyCorrectionForNUA) - { - for(Int_t sc=0;sc<2;sc++) - { - fIntFlowCorrectionTermsForNUAEBE[sc]->Reset(); - } - } - - // differential flow: - // 1D: - for(Int_t t=0;t<3;t++) // type (RP, POI, POI&&RP) - { - for(Int_t pe=0;pe<2;pe++) // 1D in pt or eta - { - for(Int_t m=0;m<4;m++) // multiple of harmonic - { - for(Int_t k=0;k<9;k++) // power of weight - { - if(fReRPQ1dEBE[t][pe][m][k]) fReRPQ1dEBE[t][pe][m][k]->Reset(); - if(fImRPQ1dEBE[t][pe][m][k]) fImRPQ1dEBE[t][pe][m][k]->Reset(); - } - } - } - } - - for(Int_t t=0;t<3;t++) // type (0 = RP, 1 = POI, 2 = RP&&POI ) - { - for(Int_t pe=0;pe<2;pe++) // 1D in pt or eta - { - for(Int_t k=0;k<9;k++) - { - if(fs1dEBE[t][pe][k]) fs1dEBE[t][pe][k]->Reset(); - } - } - } - - // e-b-e reduced correlations: - for(Int_t t=0;t<2;t++) // type (0 = RP, 1 = POI) - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t rci=0;rci<4;rci++) // reduced correlation index - { - if(fDiffFlowCorrelationsEBE[t][pe][rci]) fDiffFlowCorrelationsEBE[t][pe][rci]->Reset(); - } - } - } - - // 2D (pt,eta) - if(fCalculate2DFlow) - { - for(Int_t t=0;t<3;t++) // type (RP, POI, POI&&RP) - { - for(Int_t m=0;m<4;m++) // multiple of harmonic - { - for(Int_t k=0;k<9;k++) // power of weight - { - if(fReRPQ2dEBE[t][m][k]) fReRPQ2dEBE[t][m][k]->Reset(); - if(fImRPQ2dEBE[t][m][k]) fImRPQ2dEBE[t][m][k]->Reset(); - } - } - } - for(Int_t t=0;t<3;t++) // type (0 = RP, 1 = POI, 2 = RP&&POI ) - { - for(Int_t k=0;k<9;k++) - { - if(fs2dEBE[t][k]) fs2dEBE[t][k]->Reset(); - } - } - } // end of if(fCalculate2DFlow) - -} // end of AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::Finish() -{ - // Calculate the final results. - // a) acces the constants; - // b) access the flags; - // c) calculate the final results for integrated flow (without and with weights); - // d) store in AliFlowCommonHistResults and print the final results for integrated flow; - // e) calculate the final results for differential flow (without and with weights); - // f) print the final results for integrated flow obtained from differential flow (to be improved (terminology)); - // g) COMPARE RESULTS FROM NESTED LOOPS vs RESULTS FROM Q-VECTORS FOR INTEGRATED FLOW - - // ****************************** - // **** ACCESS THE CONSTANTS **** - // ****************************** - - this->AccessConstants(); - - if(fCommonHists && fCommonHists->GetHarmonic()) +/************************************************************************* +* Copyright(c) 1998-2008, ALICE Experiment at CERN, All rights reserved. * +* * +* Author: The ALICE Off-line Project. * +* Contributors are mentioned in the code where appropriate. * +* * +* Permission to use, copy, modify and distribute this software and its * +* documentation strictly for non-commercial purposes is hereby granted * +* without fee, provided that the above copyright notice appears in all * +* copies and that both the copyright notice and this permission notice * +* appear in the supporting documentation. The authors make no claims * +* about the suitability of this software for any purpose. It is * +* provided "as is" without express or implied warranty. * +**************************************************************************/ + +/********************************** + * flow analysis with Q-cumulants * + * * + * author: Ante Bilandzic * + * (abilandzic@gmail.com) * + *********************************/ + +#define AliFlowAnalysisWithQCumulants_cxx + +#include "Riostream.h" +#include "AliFlowCommonConstants.h" +#include "AliFlowCommonHist.h" +#include "AliFlowCommonHistResults.h" +#include "TChain.h" + +#include "TFile.h" +#include "TList.h" +#include "TGraph.h" +#include "TParticle.h" +#include "TRandom3.h" +#include "TStyle.h" +#include "TProfile.h" +#include "TProfile2D.h" +#include "TProfile3D.h" +#include "TMath.h" +#include "TArrow.h" +#include "TPaveLabel.h" +#include "TCanvas.h" +#include "AliFlowEventSimple.h" +#include "AliFlowTrackSimple.h" +#include "AliFlowAnalysisWithQCumulants.h" +#include "TArrayD.h" +#include "TRandom.h" +#include "TF1.h" + +class TH1; +class TH2; +class TGraph; +class TPave; +class TLatex; +class TMarker; +class TRandom3; +class TObjArray; +class TList; +class TCanvas; +class TSystem; +class TROOT; +class AliFlowVector; +class TVector; + + +//================================================================================================================ + + +ClassImp(AliFlowAnalysisWithQCumulants) + +AliFlowAnalysisWithQCumulants::AliFlowAnalysisWithQCumulants(): + // 0.) base: + fHistList(NULL), + // 1.) common: + fCommonHists(NULL), + fCommonHists2nd(NULL), + fCommonHists4th(NULL), + fCommonHists6th(NULL), + fCommonHists8th(NULL), + fCommonHistsResults2nd(NULL), + fCommonHistsResults4th(NULL), + fCommonHistsResults6th(NULL), + fCommonHistsResults8th(NULL), + fnBinsPhi(0), + fPhiMin(0), + fPhiMax(0), + fPhiBinWidth(0), + fnBinsPt(0), + fPtMin(0), + fPtMax(0), + fPtBinWidth(0), + fnBinsEta(0), + fEtaMin(0), + fEtaMax(0), + fEtaBinWidth(0), + fHarmonic(2), + fAnalysisLabel(NULL), + // 2a.) particle weights: + fWeightsList(NULL), + fUsePhiWeights(kFALSE), + fUsePtWeights(kFALSE), + fUseEtaWeights(kFALSE), + fUseParticleWeights(NULL), + fPhiWeights(NULL), + fPtWeights(NULL), + fEtaWeights(NULL), + // 2b.) event weights: + fMultiplicityWeight(NULL), + // 3.) integrated flow: + fIntFlowList(NULL), + fIntFlowProfiles(NULL), + fIntFlowResults(NULL), + fIntFlowFlags(NULL), + fApplyCorrectionForNUA(kTRUE), + fnBinsMult(10000), + fMinMult(0.), + fMaxMult(10000.), + fReQ(NULL), + fImQ(NULL), + fSMpk(NULL), + fIntFlowCorrelationsEBE(NULL), + fIntFlowEventWeightsForCorrelationsEBE(NULL), + fIntFlowCorrelationsAllEBE(NULL), + fAvMultiplicity(NULL), + fIntFlowCorrelationsPro(NULL), + fIntFlowCorrelationsAllPro(NULL), + fIntFlowExtraCorrelationsPro(NULL), + fIntFlowProductOfCorrelationsPro(NULL), + fIntFlowProductOfCorrectionTermsForNUAPro(NULL), + fIntFlowCorrelationsHist(NULL), + fIntFlowCorrelationsAllHist(NULL), + fIntFlowCovariances(NULL), + fIntFlowSumOfProductOfEventWeights(NULL), + fIntFlowCovariancesNUA(NULL), + fIntFlowSumOfProductOfEventWeightsNUA(NULL), + fIntFlowQcumulants(NULL), + fIntFlow(NULL), + // 4.) differential flow: + fDiffFlowList(NULL), + fDiffFlowProfiles(NULL), + fDiffFlowResults(NULL), + fDiffFlowFlags(NULL), + fCalculate2DFlow(kFALSE), + // 5.) distributions: + fDistributionsList(NULL), + fDistributionsFlags(NULL), + fStoreDistributions(kFALSE), + // x.) debugging and cross-checking: + fNestedLoopsList(NULL), + fEvaluateIntFlowNestedLoops(kFALSE), + fEvaluateDiffFlowNestedLoops(kFALSE), + fMaxAllowedMultiplicity(10), + fEvaluateNestedLoops(NULL), + fIntFlowDirectCorrelations(NULL), + fIntFlowExtraDirectCorrelations(NULL), + fCrossCheckInPtBinNo(10), + fCrossCheckInEtaBinNo(20), + fNoOfParticlesInBin(NULL) + { + // constructor + + // base list to hold all output objects: + fHistList = new TList(); + fHistList->SetName("cobjQC"); + fHistList->SetOwner(kTRUE); + + // list to hold histograms with phi, pt and eta weights: + fWeightsList = new TList(); + + // multiplicity weight: + fMultiplicityWeight = new TString("combinations"); + + // analysis label; + fAnalysisLabel = new TString(); + + // initialize all arrays: + this->InitializeArraysForIntFlow(); + this->InitializeArraysForDiffFlow(); + this->InitializeArraysForDistributions(); + this->InitializeArraysForNestedLoops(); + + } // end of constructor + + +//================================================================================================================ + + +AliFlowAnalysisWithQCumulants::~AliFlowAnalysisWithQCumulants() +{ + // destructor + + delete fHistList; + +} // end of AliFlowAnalysisWithQCumulants::~AliFlowAnalysisWithQCumulants() + + +//================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::Init() +{ + // a) Cross check if the settings make sense before starting the QC adventure; + // b) Access all common constants; + // c) Book all objects; + // d) Store flags for integrated and differential flow; + // e) Store flags for distributions of corelations; + // f) Store harmonic which will be estimated. + + //save old value and prevent histograms from being added to directory + //to avoid name clashes in case multiple analaysis objects are used + //in an analysis + Bool_t oldHistAddStatus = TH1::AddDirectoryStatus(); + TH1::AddDirectory(kFALSE); + + // a) Cross check if the settings make sense before starting the QC adventure; + this->CrossCheckSettings(); + // b) Access all common constants: + this->AccessConstants(); + // c) Book all objects: + this->BookAndFillWeightsHistograms(); + this->BookAndNestAllLists(); + this->BookCommonHistograms(); + this->BookEverythingForIntegratedFlow(); + this->BookEverythingForDifferentialFlow(); + this->BookEverythingForDistributions(); + this->BookEverythingForNestedLoops(); + // d) Store flags for integrated and differential flow: + this->StoreIntFlowFlags(); + this->StoreDiffFlowFlags(); + // e) Store flags for distributions of corelations: + this->StoreFlagsForDistributions(); + // f) Store harmonic which will be estimated: + this->StoreHarmonic(); + + TH1::AddDirectory(oldHistAddStatus); +} // end of void AliFlowAnalysisWithQCumulants::Init() + + +//================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent) +{ + // Running over data only in this method. + + // a) Fill the common control histograms and call the method to fill fAvMultiplicity; + // b) Loop over data and calculate e-b-e quantities; + // c) Call all the methods; + // d) Debugging and cross-checking (evaluate nested loops); + // e) Reset all event by event quantities. + + Double_t dPhi = 0.; // azimuthal angle in the laboratory frame + Double_t dPt = 0.; // transverse momentum + Double_t dEta = 0.; // pseudorapidity + + Double_t wPhi = 1.; // phi weight + Double_t wPt = 1.; // pt weight + Double_t wEta = 1.; // eta weight + + Int_t nRP = anEvent->GetEventNSelTracksRP(); // number of RPs (i.e. number of particles used to determine the reaction plane) + + // a) Fill the common control histograms and call the method to fill fAvMultiplicity: + this->FillCommonControlHistograms(anEvent); + this->FillAverageMultiplicities(nRP); + + // b) Loop over data and calculate e-b-e quantities: + Int_t nPrim = anEvent->NumberOfTracks(); // nPrim = total number of primary tracks, i.e. nPrim = nRP + nPOI + rest, where: + // nRP = # of particles used to determine the reaction plane; + // nPOI = # of particles of interest for a detailed flow analysis; + // rest = # of particles which are not niether RPs nor POIs. + + AliFlowTrackSimple *aftsTrack = NULL; + + for(Int_t i=0;iGetTrack(i); + if(aftsTrack) + { + if(!(aftsTrack->InRPSelection() || aftsTrack->InPOISelection())) continue; // consider only tracks which are RPs or POIs + Int_t n = fHarmonic; // shortcut for the harmonic + if(aftsTrack->InRPSelection()) // RP condition: + { + dPhi = aftsTrack->Phi(); + dPt = aftsTrack->Pt(); + dEta = aftsTrack->Eta(); + if(fUsePhiWeights && fPhiWeights && fnBinsPhi) // determine phi weight for this particle: + { + wPhi = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(dPhi*fnBinsPhi/TMath::TwoPi()))); + } + if(fUsePtWeights && fPtWeights && fnBinsPt) // determine pt weight for this particle: + { + wPt = fPtWeights->GetBinContent(1+(Int_t)(TMath::Floor((dPt-fPtMin)/fPtBinWidth))); + } + if(fUseEtaWeights && fEtaWeights && fEtaBinWidth) // determine eta weight for this particle: + { + wEta = fEtaWeights->GetBinContent(1+(Int_t)(TMath::Floor((dEta-fEtaMin)/fEtaBinWidth))); + } + + // integrated flow: + // calculate Re[Q_{m*n,k}] and Im[Q_{m*n,k}], m = 1,2,3,4, for this event: + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + (*fReQ)(m,k)+=pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1)*n*dPhi); + (*fImQ)(m,k)+=pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1)*n*dPhi); + } + } + // calculate S^{M}_{p,k} for this event + // Remark: final calculation of S^{M}_{p,k} follows after the loop over data bellow: + for(Int_t p=0;p<8;p++) + { + for(Int_t k=0;k<9;k++) + { + (*fSMpk)(p,k)+=pow(wPhi*wPt*wEta,k); + } + } + + // differential flow: + // 1D (pt): + // (r_{m*m,k}(pt)): + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + fReRPQ1dEBE[0][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ1dEBE[0][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); + } + } + + // s_{k}(pt) for RPs // to be improved (clarified) + // Remark: final calculation of s_{p,k}(pt) follows after the loop over data bellow: + for(Int_t k=0;k<9;k++) + { + fs1dEBE[0][0][k]->Fill(dPt,pow(wPhi*wPt*wEta,k),1.); + } + // 1D (eta): + // (r_{m*m,k}(eta)): + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + fReRPQ1dEBE[0][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ1dEBE[0][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); + } + } + // s_{k}(eta) for RPs // to be improved (clarified) + // Remark: final calculation of s_{p,k}(eta) follows after the loop over data bellow: + for(Int_t k=0;k<9;k++) + { + fs1dEBE[0][1][k]->Fill(dEta,pow(wPhi*wPt*wEta,k),1.); + } + + + + /* + // 2D (pt,eta): + if(fCalculate2DFlow) + { + // (r_{m*m,k}(pt,eta)): + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + fReRPQ2dEBE[0][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ2dEBE[0][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); + } + } + // s_{k}(pt,eta) for RPs // to be improved (clarified) + // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: + for(Int_t k=0;k<9;k++) + { + fs2dEBE[0][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k),1.); + } + } // end of if(fCalculate2DFlow) + */ + + + + if(aftsTrack->InPOISelection()) + { + // 1D (pt): + // (q_{m*m,k}(pt)): + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + fReRPQ1dEBE[2][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ1dEBE[2][0][m][k]->Fill(dPt,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); + } + } + // s_{k}(pt) for RP&&POIs // to be improved (clarified) + // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: + for(Int_t k=0;k<9;k++) + { + fs1dEBE[2][0][k]->Fill(dPt,pow(wPhi*wPt*wEta,k),1.); + } + // 1D (eta): + // (q_{m*m,k}(eta)): + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + fReRPQ1dEBE[2][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ1dEBE[2][1][m][k]->Fill(dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); + } + } + // s_{k}(eta) for RP&&POIs // to be improved (clarified) + // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: + for(Int_t k=0;k<9;k++) + { + fs1dEBE[2][1][k]->Fill(dEta,pow(wPhi*wPt*wEta,k),1.); + } + + /* + // 2D (pt,eta) + if(fCalculate2DFlow) + { + // (q_{m*m,k}(pt,eta)): + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + fReRPQ2dEBE[2][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ2dEBE[2][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Sin((m+1.)*n*dPhi),1.); + } + } + // s_{k}(pt,eta) for RP&&POIs // to be improved (clarified) + // Remark: final calculation of s_{p,k}(pt,eta) follows after the loop over data bellow: + for(Int_t k=0;k<9;k++) + { + fs2dEBE[2][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k),1.); + } + } // end of if(fCalculate2DFlow) + */ + + } // end of if(aftsTrack->InPOISelection()) + + + + } // end of if(pTrack->InRPSelection()) + + + + if(aftsTrack->InPOISelection()) + { + dPhi = aftsTrack->Phi(); + dPt = aftsTrack->Pt(); + dEta = aftsTrack->Eta(); + + // 1D (pt) + // p_n(m*n,0): + for(Int_t m=0;m<4;m++) + { + fReRPQ1dEBE[1][0][m][0]->Fill(dPt,TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ1dEBE[1][0][m][0]->Fill(dPt,TMath::Sin((m+1.)*n*dPhi),1.); + } + // 1D (eta) + // p_n(m*n,0): + for(Int_t m=0;m<4;m++) + { + fReRPQ1dEBE[1][1][m][0]->Fill(dEta,TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ1dEBE[1][1][m][0]->Fill(dEta,TMath::Sin((m+1.)*n*dPhi),1.); + } + + + /* + // 2D (pt,eta): + if(fCalculate2DFlow) + { + // p_n(m*n,0): + for(Int_t m=0;m<4;m++) + { + fReRPQ2dEBE[1][m][0]->Fill(dPt,dEta,TMath::Cos((m+1.)*n*dPhi),1.); + fImRPQ2dEBE[1][m][0]->Fill(dPt,dEta,TMath::Sin((m+1.)*n*dPhi),1.); + } + } // end of if(fCalculate2DFlow) + */ + + + } // end of if(pTrack->InPOISelection() ) + + + } else // to if(aftsTrack) + { + cout<1) this->CalculateIntFlowCorrelations(); // without using particle weights + } else // to if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + if(nRP>1) this->CalculateIntFlowCorrelationsUsingParticleWeights(); // with using particle weights + } + + if(nRP>3) this->CalculateIntFlowProductOfCorrelations(); + if(nRP>1) this->CalculateIntFlowSumOfEventWeights(); + if(nRP>1) this->CalculateIntFlowSumOfProductOfEventWeights(); + if(fApplyCorrectionForNUA) + { + if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + if(nRP>0) this->CalculateIntFlowCorrectionsForNUASinTerms(); + if(nRP>0) this->CalculateIntFlowCorrectionsForNUACosTerms(); + } else // to if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + if(nRP>0) this->CalculateIntFlowCorrectionsForNUASinTermsUsingParticleWeights(); + if(nRP>0) this->CalculateIntFlowCorrectionsForNUACosTermsUsingParticleWeights(); + } + + if(nRP>0) this->CalculateIntFlowProductOfCorrectionTermsForNUA(); + if(nRP>0) this->CalculateIntFlowSumOfEventWeightsNUA(); + if(nRP>0) this->CalculateIntFlowSumOfProductOfEventWeightsNUA(); + } // end of if(fApplyCorrectionForNUA) + } // end of if(!fEvaluateIntFlowNestedLoops) + + // differential flow: + if(!fEvaluateDiffFlowNestedLoops) + { + if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + // without using particle weights: + this->CalculateDiffFlowCorrelations("RP","Pt"); + this->CalculateDiffFlowCorrelations("RP","Eta"); + this->CalculateDiffFlowCorrelations("POI","Pt"); + this->CalculateDiffFlowCorrelations("POI","Eta"); + if(fApplyCorrectionForNUA) + { + this->CalculateDiffFlowCorrectionsForNUASinTerms("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTerms("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUASinTerms("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTerms("POI","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("POI","Eta"); + } // end of if(fApplyCorrectionForNUA) + } else // to if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + // with using particle weights: + this->CalculateDiffFlowCorrelationsUsingParticleWeights("RP","Pt"); + this->CalculateDiffFlowCorrelationsUsingParticleWeights("RP","Eta"); + this->CalculateDiffFlowCorrelationsUsingParticleWeights("POI","Pt"); + this->CalculateDiffFlowCorrelationsUsingParticleWeights("POI","Eta"); + if(fApplyCorrectionForNUA) + { + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("POI","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("POI","Eta"); + } // end of if(fApplyCorrectionForNUA) + } + + // whether or not using particle weights the following is calculated in the same way: + this->CalculateDiffFlowProductOfCorrelations("RP","Pt"); + this->CalculateDiffFlowProductOfCorrelations("RP","Eta"); + this->CalculateDiffFlowProductOfCorrelations("POI","Pt"); + this->CalculateDiffFlowProductOfCorrelations("POI","Eta"); + this->CalculateDiffFlowSumOfEventWeights("RP","Pt"); + this->CalculateDiffFlowSumOfEventWeights("RP","Eta"); + this->CalculateDiffFlowSumOfEventWeights("POI","Pt"); + this->CalculateDiffFlowSumOfEventWeights("POI","Eta"); + this->CalculateDiffFlowSumOfProductOfEventWeights("RP","Pt"); + this->CalculateDiffFlowSumOfProductOfEventWeights("RP","Eta"); + this->CalculateDiffFlowSumOfProductOfEventWeights("POI","Pt"); + this->CalculateDiffFlowSumOfProductOfEventWeights("POI","Eta"); + } // end of if(!fEvaluateDiffFlowNestedLoops) + + + + // with weights: + // ... + + /* + // 2D differential flow + if(fCalculate2DFlow) + { + // without weights: + if(nRP>1) this->CalculateCorrelationsForDifferentialFlow2D("RP"); + if(nRP>1) this->CalculateCorrelationsForDifferentialFlow2D("POI"); + + // with weights: + if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + { + if(nRP>1) this->CalculateWeightedCorrelationsForDifferentialFlow2D("RP"); + if(nRP>1) this->CalculateWeightedCorrelationsForDifferentialFlow2D("POI"); + } + } // end of if(fCalculate2DFlow) + */ + + // distributions of correlations: + if(fStoreDistributions) + { + this->StoreDistributionsOfCorrelations(); + } + + // d) Debugging and cross-checking (evaluate nested loops): + // d1) cross-checking results for integrated flow: + if(fEvaluateIntFlowNestedLoops) + { + if(nPrim>0 && nPrim<=fMaxAllowedMultiplicity) // by default fMaxAllowedMultiplicity = 10 + { + // without using particle weights: + if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + // correlations: + this->CalculateIntFlowCorrelations(); // from Q-vectors + this->EvaluateIntFlowCorrelationsWithNestedLoops(anEvent); // from nested loops (to be improved: do I have to pass here anEvent or not?) + // correction for non-uniform acceptance: + this->CalculateIntFlowCorrectionsForNUASinTerms(); // from Q-vectors (sin terms) + this->CalculateIntFlowCorrectionsForNUACosTerms(); // from Q-vectors (cos terms) + this->EvaluateIntFlowCorrectionsForNUAWithNestedLoops(anEvent); // from nested loops (both sin and cos terms) + } + // using particle weights: + if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + { + // correlations: + this->CalculateIntFlowCorrelationsUsingParticleWeights(); // from Q-vectors + this->EvaluateIntFlowCorrelationsWithNestedLoopsUsingParticleWeights(anEvent); // from nested loops (to be improved: do I have to pass here anEvent or not?) + // correction for non-uniform acceptance: + this->CalculateIntFlowCorrectionsForNUASinTermsUsingParticleWeights(); // from Q-vectors (sin terms) + this->CalculateIntFlowCorrectionsForNUACosTermsUsingParticleWeights(); // from Q-vectors (cos terms) + this->EvaluateIntFlowCorrectionsForNUAWithNestedLoopsUsingParticleWeights(anEvent); // from nested loops (both sin and cos terms) + } + } else if (nPrim>fMaxAllowedMultiplicity) // to if(nPrim>0 && nPrim<=fMaxAllowedMultiplicity) + { + cout<0 && nPrim<=fMaxAllowedMultiplicity) // by default fMaxAllowedMultiplicity = 10 + { + // without using particle weights: + if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + // reduced correlations: + // Q-vectors: + this->CalculateDiffFlowCorrelations("RP","Pt"); + this->CalculateDiffFlowCorrelations("RP","Eta"); + this->CalculateDiffFlowCorrelations("POI","Pt"); + this->CalculateDiffFlowCorrelations("POI","Eta"); + // nested loops: + this->EvaluateDiffFlowCorrelationsWithNestedLoops(anEvent,"RP","Pt"); + this->EvaluateDiffFlowCorrelationsWithNestedLoops(anEvent,"RP","Eta"); + this->EvaluateDiffFlowCorrelationsWithNestedLoops(anEvent,"POI","Pt"); + this->EvaluateDiffFlowCorrelationsWithNestedLoops(anEvent,"POI","Eta"); + // reduced corrections for non-uniform acceptance: + // Q-vectors: + this->CalculateDiffFlowCorrectionsForNUASinTerms("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTerms("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUASinTerms("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTerms("POI","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTerms("POI","Eta"); + // nested loops: + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoops(anEvent,"RP","Pt"); + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoops(anEvent,"RP","Eta"); + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoops(anEvent,"POI","Pt"); + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoops(anEvent,"POI","Eta"); + } // end of if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + // using particle weights: + if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + { + this->CalculateDiffFlowCorrelationsUsingParticleWeights("RP","Pt"); + this->CalculateDiffFlowCorrelationsUsingParticleWeights("RP","Eta"); + this->CalculateDiffFlowCorrelationsUsingParticleWeights("POI","Pt"); + this->CalculateDiffFlowCorrelationsUsingParticleWeights("POI","Eta"); + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights("POI","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("RP","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("RP","Eta"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("POI","Pt"); + this->CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights("POI","Eta"); + this->EvaluateDiffFlowCorrelationsWithNestedLoopsUsingParticleWeights(anEvent,"RP","Pt"); + this->EvaluateDiffFlowCorrelationsWithNestedLoopsUsingParticleWeights(anEvent,"RP","Eta"); + this->EvaluateDiffFlowCorrelationsWithNestedLoopsUsingParticleWeights(anEvent,"POI","Pt"); + this->EvaluateDiffFlowCorrelationsWithNestedLoopsUsingParticleWeights(anEvent,"POI","Eta"); + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoopsUsingParticleWeights(anEvent,"RP","Pt"); + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoopsUsingParticleWeights(anEvent,"RP","Eta"); + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoopsUsingParticleWeights(anEvent,"POI","Pt"); + this->EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoopsUsingParticleWeights(anEvent,"POI","Eta"); + } // end of if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + } // end of if(nPrim>0 && nPrim<=fMaxAllowedMultiplicity) // by default fMaxAllowedMultiplicity = 10 + } // end of if(fEvaluateDiffFlowNestedLoops) + + // e) Reset all event by event quantities: + this->ResetEventByEventQuantities(); + +} // end of AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::Finish() +{ + // Calculate the final results. + // a) acces the constants; + // b) access the flags; + // c) calculate the final results for integrated flow (without and with weights); + // d) store in AliFlowCommonHistResults and print the final results for integrated flow; + // e) calculate the final results for differential flow (without and with weights); + // f) print the final results for integrated flow obtained from differential flow (to be improved (terminology)); + // g) cross-check the results: results from Q-vectors vs results from nested loops + + // ****************************** + // **** ACCESS THE CONSTANTS **** + // ****************************** + + this->AccessConstants(); + + if(fCommonHists && fCommonHists->GetHarmonic()) { fHarmonic = (Int_t)(fCommonHists->GetHarmonic())->GetBinContent(1); // to be improved (moved somewhere else) } - - // ************************** - // **** ACCESS THE FLAGS **** - // ************************** - fUsePhiWeights = (Int_t)fUseParticleWeights->GetBinContent(1); - fUsePtWeights = (Int_t)fUseParticleWeights->GetBinContent(2); - fUseEtaWeights = (Int_t)fUseParticleWeights->GetBinContent(3); - fApplyCorrectionForNUA = (Int_t)fIntFlowFlags->GetBinContent(3); - fEvaluateNestedLoopsForIntFlow = (Int_t)fEvaluateNestedLoops->GetBinContent(1); - fEvaluateNestedLoopsForDiffFlow = (Int_t)fEvaluateNestedLoops->GetBinContent(2); - - // ********************************************************* - // **** CALCULATE THE FINAL RESULTS FOR INTEGRATED FLOW **** - // ********************************************************* - - // without weights: - this->FinalizeCorrelationsIntFlow(); - this->CalculateCovariancesIntFlow(); - this->CalculateCumulantsIntFlow(); - this->CalculateIntFlow(); - - if(fApplyCorrectionForNUA) // to be improved (reorganized) - { - this->FinalizeCorrectionTermsForNUAIntFlow(); - this->CalculateQcumulantsCorrectedForNUAIntFlow(); - this->CalculateIntFlowCorrectedForNUA(); - } - - //this->ApplyCorrectionForNonUniformAcceptanceToCumulantsForIntFlow(kFALSE,"exact"); - - // with weights: - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) - { - //this->FinalizeCorrelationsIntFlow(); - // this->CalculateCorrectionsForNUAForIntQcumulants(kTRUE,"exact"); - //this->CalculateCovariancesIntFlow(kTRUE,"exact"); - //this->CalculateCumulantsIntFlow(); - // this->ApplyCorrectionForNonUniformAcceptanceToCumulantsForIntFlow(kTRUE,"exact"); - //this->CalculateIntFlow(); - // this->CalculateIntFlow(kTRUE,"exact",kTRUE); // weighted and corrected for non-uniform acceptance - } - - // *************************************************************** - // **** STORE AND PRINT THE FINAL RESULTS FOR INTEGRATED FLOW **** - // *************************************************************** - - this->FillCommonHistResultsIntFlow(); - - this->PrintFinalResultsForIntegratedFlow("NONAME"); // to be improved (name) - - // *********************************************************** - // **** CALCULATE THE FINAL RESULTS FOR DIFFERENTIAL FLOW **** - // *********************************************************** - - // without weights: - this->FinalizeReducedCorrelations("RP","Pt"); - this->FinalizeReducedCorrelations("RP","Eta"); - this->FinalizeReducedCorrelations("POI","Pt"); - this->FinalizeReducedCorrelations("POI","Eta"); - this->CalculateDiffFlowCovariances("RP","Pt"); - this->CalculateDiffFlowCovariances("RP","Eta"); - this->CalculateDiffFlowCovariances("POI","Pt"); - this->CalculateDiffFlowCovariances("POI","Eta"); - this->CalculateDiffFlowCumulants("RP","Pt"); - this->CalculateDiffFlowCumulants("RP","Eta"); - this->CalculateDiffFlowCumulants("POI","Pt"); - this->CalculateDiffFlowCumulants("POI","Eta"); - this->CalculateDiffFlow("RP","Pt"); - this->CalculateDiffFlow("RP","Eta"); - this->CalculateDiffFlow("POI","Pt"); - this->CalculateDiffFlow("POI","Eta"); - this->CalculateFinalResultsForRPandPOIIntegratedFlow("RP"); - this->CalculateFinalResultsForRPandPOIIntegratedFlow("POI"); - //this->FinalizeCorrelationsForDiffFlow("RP",kFALSE,"exact"); - //this->FinalizeCorrelationsForDiffFlow("POI",kFALSE,"exact"); - - // with weights: - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) - { - //this->FinalizeCorrelationsForDiffFlow("RP",kTRUE,"exact"); - //this->FinalizeCorrelationsForDiffFlow("POI",kTRUE,"exact"); - //this->CalculateDiffFlowCumulants("RP",kTRUE,"exact"); - //this->CalculateDiffFlowCumulants("POI",kTRUE,"exact"); - //this->CalculateDiffFlow("RP",kTRUE,"exact"); - //this->CalculateDiffFlow("POI",kTRUE,"exact"); - //this->CalculateFinalResultsForRPandPOIIntegratedFlow("RP",kTRUE,"exact"); - //this->CalculateFinalResultsForRPandPOIIntegratedFlow("POI",kTRUE,"exact"); - } - - - //this->CalculateFinalCorrectionsForNonUniformAcceptanceForDifferentialFlow(kFALSE,"POI"); // to be improved (to calculate also when weights are used) - //this->CalculateFinalCorrectionsForNonUniformAcceptanceForDifferentialFlow(kFALSE,"RP"); // to be improved (to calculate also when weights are used) - - - // ***************************************************************** - // **** STORE AND PRINT THE FINAL RESULTS FOR DIFFERENTIAL FLOW **** - // ***************************************************************** - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) - { - //this->FillCommonHistResultsDiffFlow("RP",kTRUE,"exact",kFALSE); - //this->FillCommonHistResultsDiffFlow("POI",kTRUE,"exact",kFALSE); - } else - { - this->FillCommonHistResultsDiffFlow("RP"); - this->FillCommonHistResultsDiffFlow("POI"); - } - - this->PrintFinalResultsForIntegratedFlow("RP"); - this->PrintFinalResultsForIntegratedFlow("POI"); - - // ***************************************************************************************** - // **** COMPARE RESULTS FROM NESTED LOOPS vs RESULTS FROM Q-VECTORS FOR INTEGRATED FLOW **** - // ***************************************************************************************** - - if(fEvaluateNestedLoopsForIntFlow) - { - this->CompareResultsFromNestedLoopsAndFromQVectorsForIntFlow(fUsePhiWeights||fUsePtWeights||fUseEtaWeights); - } - - if(fEvaluateNestedLoopsForDiffFlow) - { - this->CompareResultsFromNestedLoopsAndFromQVectorsForDiffFlow(fUsePhiWeights||fUsePtWeights||fUseEtaWeights); - } - -} // end of AliFlowAnalysisWithQCumulants::Finish() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUACosTerms() -{ - // calculate corrections for non-uniform acceptance of the detector for no-name integrated flow (cos terms) - - // multiplicity: - Double_t dMult = (*fSMpk)(0,0); - - // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - Double_t dReQ1n = (*fReQ)(0,0); - Double_t dReQ2n = (*fReQ)(1,0); - //Double_t dReQ3n = (*fReQ)(2,0); - //Double_t dReQ4n = (*fReQ)(3,0); - Double_t dImQ1n = (*fImQ)(0,0); - Double_t dImQ2n = (*fImQ)(1,0); - //Double_t dImQ3n = (*fImQ)(2,0); - //Double_t dImQ4n = (*fImQ)(3,0); - - // ************************************************************* - // **** corrections for non-uniform acceptance (cos terms): **** - // ************************************************************* - // - // Remark 1: corrections for non-uniform acceptance (cos terms) calculated with non-weighted Q-vectors - // are stored in 1D profile fQCorrectionsCos. - // Remark 2: binning of fQCorrectionsCos is organized as follows: - // -------------------------------------------------------------------------------------------------------------------- - // 1st bin: <> = cosP1n - // 2nd bin: <> = cosP1nP1n - // 3rd bin: <> = cosP1nM1nM1n - // ... - // -------------------------------------------------------------------------------------------------------------------- - - // 1-particle: - Double_t cosP1n = 0.; // <> - - if(dMult>0) - { - cosP1n = dReQ1n/dMult; - - // average non-weighted 1-particle correction (cos terms) for non-uniform acceptance for single event: - fIntFlowCorrectionTermsForNUAEBE[1]->SetBinContent(1,cosP1n); - - // final average non-weighted 1-particle correction (cos terms) for non-uniform acceptance for all events: - fIntFlowCorrectionTermsForNUAPro[1]->Fill(0.5,cosP1n,dMult); - } - - // 2-particle: - Double_t cosP1nP1n = 0.; // <> - - if(dMult>1) - { - cosP1nP1n = (pow(dReQ1n,2)-pow(dImQ1n,2)-dReQ2n)/(dMult*(dMult-1)); - - // average non-weighted 2-particle correction (cos terms) for non-uniform acceptance for single event: - fIntFlowCorrectionTermsForNUAEBE[1]->SetBinContent(2,cosP1nP1n); - - // final average non-weighted 2-particle correction (cos terms) for non-uniform acceptance for all events: - fIntFlowCorrectionTermsForNUAPro[1]->Fill(1.5,cosP1nP1n,dMult*(dMult-1)); - } - - // 3-particle: - Double_t cosP1nM1nM1n = 0.; // <> - - if(dMult>2) - { - cosP1nM1nM1n = (dReQ1n*(pow(dReQ1n,2)+pow(dImQ1n,2))-dReQ1n*dReQ2n-dImQ1n*dImQ2n-2.*(dMult-1)*dReQ1n) - / (dMult*(dMult-1)*(dMult-2)); - - // average non-weighted 3-particle correction (cos terms) for non-uniform acceptance for single event: - fIntFlowCorrectionTermsForNUAEBE[1]->SetBinContent(3,cosP1nM1nM1n); - - // final average non-weighted 3-particle correction (cos terms) for non-uniform acceptance for all events: - fIntFlowCorrectionTermsForNUAPro[1]->Fill(2.5,cosP1nM1nM1n,dMult*(dMult-1)*(dMult-2)); - } - -} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUACosTerms() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUASinTerms() -{ - // calculate corrections for non-uniform acceptance of the detector for no-name integrated flow (sin terms) - - // multiplicity: - Double_t dMult = (*fSMpk)(0,0); - - // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - Double_t dReQ1n = (*fReQ)(0,0); - Double_t dReQ2n = (*fReQ)(1,0); - //Double_t dReQ3n = (*fReQ)(2,0); - //Double_t dReQ4n = (*fReQ)(3,0); - Double_t dImQ1n = (*fImQ)(0,0); - Double_t dImQ2n = (*fImQ)(1,0); - //Double_t dImQ3n = (*fImQ)(2,0); - //Double_t dImQ4n = (*fImQ)(3,0); - - // ************************************************************* - // **** corrections for non-uniform acceptance (sin terms): **** - // ************************************************************* - // - // Remark 1: corrections for non-uniform acceptance (sin terms) calculated with non-weighted Q-vectors - // are stored in 1D profile fQCorrectionsSin. - // Remark 2: binning of fQCorrectionsSin is organized as follows: - // -------------------------------------------------------------------------------------------------------------------- - // 1st bin: <> = sinP1n - // 2nd bin: <> = sinP1nP1n - // 3rd bin: <> = sinP1nM1nM1n - // ... - // -------------------------------------------------------------------------------------------------------------------- - - // 1-particle: - Double_t sinP1n = 0.; // - - if(dMult>0) - { - sinP1n = dImQ1n/dMult; - - // average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for single event: - fIntFlowCorrectionTermsForNUAEBE[0]->SetBinContent(1,sinP1n); - - // final average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for all events: - fIntFlowCorrectionTermsForNUAPro[0]->Fill(0.5,sinP1n,dMult); - } - - // 2-particle: - Double_t sinP1nP1n = 0.; // <> - - if(dMult>1) - { - sinP1nP1n = (2.*dReQ1n*dImQ1n-dImQ2n)/(dMult*(dMult-1)); - - // average non-weighted 2-particle correction (sin terms) for non-uniform acceptance for single event: - fIntFlowCorrectionTermsForNUAEBE[0]->SetBinContent(2,sinP1nP1n); - - // final average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for all events: - fIntFlowCorrectionTermsForNUAPro[0]->Fill(1.5,sinP1nP1n,dMult*(dMult-1)); - } - - // 3-particle: - Double_t sinP1nM1nM1n = 0.; // <> - - if(dMult>2) - { - sinP1nM1nM1n = (-dImQ1n*(pow(dReQ1n,2)+pow(dImQ1n,2))+dReQ1n*dImQ2n-dImQ1n*dReQ2n+2.*(dMult-1)*dImQ1n) - / (dMult*(dMult-1)*(dMult-2)); - - // average non-weighted 3-particle correction (sin terms) for non-uniform acceptance for single event: - fIntFlowCorrectionTermsForNUAEBE[0]->SetBinContent(3,sinP1nM1nM1n); - - // final average non-weighted 3-particle correction (sin terms) for non-uniform acceptance for all events: - fIntFlowCorrectionTermsForNUAPro[0]->Fill(2.5,sinP1nM1nM1n,dMult*(dMult-1)*(dMult-2)); - } - -} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUASinTerms() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForDifferentialFlowCosTerms(TString type) -{ - // calculate corrections for non-uniform acceptance of the detector for differential flow (cos terms) - - // multiplicity: - //Double_t dMult = (*fSMpk)(0,0); - - // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - //Double_t dReQ1n = (*fReQ)(0,0); - //Double_t dReQ2n = (*fReQ)(1,0); - //Double_t dReQ3n = (*fReQ)(2,0); - //Double_t dReQ4n = (*fReQ)(3,0); - //Double_t dImQ1n = (*fImQ)(0,0); - //Double_t dImQ2n = (*fImQ)(1,0); - //Double_t dImQ3n = (*fImQ)(2,0); - //Double_t dImQ4n = (*fImQ)(3,0); - - // looping over all (pt,eta) bins and calculating correlations needed for differential flow: - for(Int_t p=1;p<=fnBinsPt;p++) - { - for(Int_t e=1;e<=fnBinsEta;e++) - { - // real and imaginary parts of q_n (non-weighted Q-vector evaluated only for POIs in harmonic n for each (pt,eta) bin): - //Double_t dReqnPtEta = 0.; - //Double_t dImqnPtEta = 0.; - - // number of POIs in each (pt,eta) bin: - Double_t dmPtEta = 0.; - - // real and imaginary parts of q''_{n}, q''_{2n}, ... - // (non-weighted Q-vectors evaluated only for particles which are both RPs and POIs in harmonic n, 2n, ... for each (pt,eta) bin): - //Double_t dReqPrimePrime1nPtEta = 0.; - //Double_t dImqPrimePrime1nPtEta = 0.; - //Double_t dReqPrimePrime2nPtEta = 0.; - //Double_t dImqPrimePrime2nPtEta = 0.; - - // number of particles which are both RPs and POIs in each (pt,eta) bin: - //Double_t dmPrimePrimePtEta = 0.; - - if(type == "POI") - { - // q''_{n}, q''_{2n}: - //............................................................................................... - //dReqPrimePrime1nPtEta = fReqPrimePrime1nPtEta->GetBinContent(fReqPrimePrime1nPtEta->GetBin(p,e)); - //dImqPrimePrime1nPtEta = fImqPrimePrime1nPtEta->GetBinContent(fImqPrimePrime1nPtEta->GetBin(p,e)); - //dReqPrimePrime2nPtEta = fReqPrimePrime2nPtEta->GetBinContent(fReqPrimePrime2nPtEta->GetBin(p,e)); - //dImqPrimePrime2nPtEta = fImqPrimePrime2nPtEta->GetBinContent(fImqPrimePrime2nPtEta->GetBin(p,e)); - //............................................................................................... - - // m'': - //dmPrimePrimePtEta = fmPrimePrimePtEta->GetBinContent(fmPrimePrimePtEta->GetBin(p,e)); - - // q'_{n}: - //dReqnPtEta = fReqnPtEta->GetBinContent(fReqnPtEta->GetBin(p,e)); - //dImqnPtEta = fImqnPtEta->GetBinContent(fImqnPtEta->GetBin(p,e)); - //dmPtEta = fmPtEta->GetBinContent(fmPtEta->GetBin(p,e)); - } - else if(type == "RP") - { - // q_RP{n}, q_RP{2n}: - //............................................................................................... - //dReqPrimePrime1nPtEta = fReqRP1nPtEta->GetBinContent(fReqRP1nPtEta->GetBin(p,e)); - //dImqPrimePrime1nPtEta = fImqRP1nPtEta->GetBinContent(fImqRP1nPtEta->GetBin(p,e)); - //dReqPrimePrime2nPtEta = fReqRP2nPtEta->GetBinContent(fReqRP2nPtEta->GetBin(p,e)); - //dImqPrimePrime2nPtEta = fImqRP2nPtEta->GetBinContent(fImqRP2nPtEta->GetBin(p,e)); - //............................................................................................... - - // m'': - //dmPrimePrimePtEta = fmRPPtEta->GetBinContent(fmRPPtEta->GetBin(p,e)); - - //dReqnPtEta = fReqRP1nPtEta->GetBinContent(fReqRP1nPtEta->GetBin(p,e)); // not a bug ;-) - //dImqnPtEta = fImqRP1nPtEta->GetBinContent(fImqRP1nPtEta->GetBin(p,e)); // not a bug ;-) - //dmPtEta = fmRPPtEta->GetBinContent(fmRPPtEta->GetBin(p,e)); // not a bug ;-) - } - - // 1'-p correction: - //Double_t oneCosP1nPsiPtEta = 0.; - - if(dmPtEta) - { - //oneCosP1nPsiPtEta = dReqnPtEta/dmPtEta; - - // fill the 2D profile to get the average 1'-p correction for each (pt, eta) bin: - if(type == "POI") - { - //fCorrectionsCosP1nPsiPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth, - // oneCosP1nPsiPtEta,dmPtEta); - } - else if(type == "RP") - { - //fCorrectionsCosP1nPsiPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth, - // oneCosP1nPsiPtEta,dmPtEta); - } - } // end of if(dmPtEta*dMult-dmPrimePrimePtEta) - - /* - - // 4'-particle correlation: - Double_t four1n1n1n1nPtEta = 0.; - if((dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)) // to be improved (introduce a new variable for this expression) - { - four1n1n1n1nPtEta = ((pow(dReQ1n,2.)+pow(dImQ1n,2.))*(dReqnPtEta*dReQ1n+dImqnPtEta*dImQ1n) - - dReqPrimePrime2nPtEta*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) - - 2.*dImqPrimePrime2nPtEta*dReQ1n*dImQ1n - - dReqnPtEta*(dReQ1n*dReQ2n+dImQ1n*dImQ2n) - + dImqnPtEta*(dImQ1n*dReQ2n-dReQ1n*dImQ2n) - - 2.*dMult*(dReqnPtEta*dReQ1n+dImqnPtEta*dImQ1n) - - 2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*dmPrimePrimePtEta - + 6.*(dReqPrimePrime1nPtEta*dReQ1n+dImqPrimePrime1nPtEta*dImQ1n) - + 1.*(dReqPrimePrime2nPtEta*dReQ2n+dImqPrimePrime2nPtEta*dImQ2n) - + 2.*(dReqnPtEta*dReQ1n+dImqnPtEta*dImQ1n) - + 2.*dmPrimePrimePtEta*dMult - - 6.*dmPrimePrimePtEta) - / ((dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - // fill the 2D profile to get the average correlation for each (pt, eta) bin: - if(type == "POI") - { - f4pPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - (dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)); - } - else if(type == "RP") - { - f4pPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - (dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)); - } - } // end of if((dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - // +dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - */ - - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - -} // end of AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForDifferentialFlowCosTerms(TString type) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForDifferentialFlowSinTerms(TString type) -{ - // calculate corrections for non-uniform acceptance of the detector for differential flow (sin terms) - - // multiplicity: - //Double_t dMult = (*fSMpk)(0,0); - - // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - //Double_t dReQ1n = (*fReQ)(0,0); - //Double_t dReQ2n = (*fReQ)(1,0); - //Double_t dReQ3n = (*fReQ)(2,0); - //Double_t dReQ4n = (*fReQ)(3,0); - //Double_t dImQ1n = (*fImQ)(0,0); - //Double_t dImQ2n = (*fImQ)(1,0); - //Double_t dImQ3n = (*fImQ)(2,0); - //Double_t dImQ4n = (*fImQ)(3,0); - - // looping over all (pt,eta) bins and calculating correlations needed for differential flow: - for(Int_t p=1;p<=fnBinsPt;p++) - { - for(Int_t e=1;e<=fnBinsEta;e++) - { - // real and imaginary parts of q_n (non-weighted Q-vector evaluated only for POIs in harmonic n for each (pt,eta) bin): - //Double_t dReqnPtEta = 0.; - //Double_t dImqnPtEta = 0.; - - // number of POIs in each (pt,eta) bin: - Double_t dmPtEta = 0.; - - // real and imaginary parts of q''_{n}, q''_{2n}, ... - // (non-weighted Q-vectors evaluated only for particles which are both RPs and POIs in harmonic n, 2n, ... for each (pt,eta) bin): - //Double_t dReqPrimePrime1nPtEta = 0.; - //Double_t dImqPrimePrime1nPtEta = 0.; - //Double_t dReqPrimePrime2nPtEta = 0.; - //Double_t dImqPrimePrime2nPtEta = 0.; - - // number of particles which are both RPs and POIs in each (pt,eta) bin: - //Double_t dmPrimePrimePtEta = 0.; - - if(type == "POI") - { - // q''_{n}, q''_{2n}: - //............................................................................................... - //dReqPrimePrime1nPtEta = fReqPrimePrime1nPtEta->GetBinContent(fReqPrimePrime1nPtEta->GetBin(p,e)); - //dImqPrimePrime1nPtEta = fImqPrimePrime1nPtEta->GetBinContent(fImqPrimePrime1nPtEta->GetBin(p,e)); - //dReqPrimePrime2nPtEta = fReqPrimePrime2nPtEta->GetBinContent(fReqPrimePrime2nPtEta->GetBin(p,e)); - //dImqPrimePrime2nPtEta = fImqPrimePrime2nPtEta->GetBinContent(fImqPrimePrime2nPtEta->GetBin(p,e)); - //............................................................................................... - - // m'': - //dmPrimePrimePtEta = fmPrimePrimePtEta->GetBinContent(fmPrimePrimePtEta->GetBin(p,e)); - - // q'_{n}: - //dReqnPtEta = fReqnPtEta->GetBinContent(fReqnPtEta->GetBin(p,e)); - //dImqnPtEta = fImqnPtEta->GetBinContent(fImqnPtEta->GetBin(p,e)); - //dmPtEta = fmPtEta->GetBinContent(fmPtEta->GetBin(p,e)); - } - else if(type == "RP") - { - // q_RP{n}, q_RP{2n}: - //............................................................................................... - //dReqPrimePrime1nPtEta = fReqRP1nPtEta->GetBinContent(fReqRP1nPtEta->GetBin(p,e)); - //dImqPrimePrime1nPtEta = fImqRP1nPtEta->GetBinContent(fImqRP1nPtEta->GetBin(p,e)); - //dReqPrimePrime2nPtEta = fReqRP2nPtEta->GetBinContent(fReqRP2nPtEta->GetBin(p,e)); - //dImqPrimePrime2nPtEta = fImqRP2nPtEta->GetBinContent(fImqRP2nPtEta->GetBin(p,e)); - //............................................................................................... - - // m'': - //dmPrimePrimePtEta = fmRPPtEta->GetBinContent(fmRPPtEta->GetBin(p,e)); - - //dReqnPtEta = fReqRP1nPtEta->GetBinContent(fReqRP1nPtEta->GetBin(p,e)); // not a bug ;-) - //dImqnPtEta = fImqRP1nPtEta->GetBinContent(fImqRP1nPtEta->GetBin(p,e)); // not a bug ;-) - //dmPtEta = fmRPPtEta->GetBinContent(fmRPPtEta->GetBin(p,e)); // not a bug ;-) - } - - // 1'-p correction: - //Double_t oneSinP1nPsiPtEta = 0.; - - if(dmPtEta) - { - //oneSinP1nPsiPtEta = dImqnPtEta/dmPtEta; - - // fill the 2D profile to get the average 1'-p correction for each (pt, eta) bin: - if(type == "POI") - { - //fCorrectionsSinP1nPsiPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth, - // oneSinP1nPsiPtEta,dmPtEta); - } - else if(type == "RP") - { - //fCorrectionsSinP1nPsiPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth, - // oneSinP1nPsiPtEta,dmPtEta); - } - } // end of if(dmPtEta*dMult-dmPrimePrimePtEta) - - /* - - // 4'-particle correlation: - Double_t four1n1n1n1nPtEta = 0.; - if((dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)) // to be improved (introduce a new variable for this expression) - { - four1n1n1n1nPtEta = ((pow(dReQ1n,2.)+pow(dImQ1n,2.))*(dReqnPtEta*dReQ1n+dImqnPtEta*dImQ1n) - - dReqPrimePrime2nPtEta*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) - - 2.*dImqPrimePrime2nPtEta*dReQ1n*dImQ1n - - dReqnPtEta*(dReQ1n*dReQ2n+dImQ1n*dImQ2n) - + dImqnPtEta*(dImQ1n*dReQ2n-dReQ1n*dImQ2n) - - 2.*dMult*(dReqnPtEta*dReQ1n+dImqnPtEta*dImQ1n) - - 2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*dmPrimePrimePtEta - + 6.*(dReqPrimePrime1nPtEta*dReQ1n+dImqPrimePrime1nPtEta*dImQ1n) - + 1.*(dReqPrimePrime2nPtEta*dReQ2n+dImqPrimePrime2nPtEta*dImQ2n) - + 2.*(dReqnPtEta*dReQ1n+dImqnPtEta*dImQ1n) - + 2.*dmPrimePrimePtEta*dMult - - 6.*dmPrimePrimePtEta) - / ((dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - // fill the 2D profile to get the average correlation for each (pt, eta) bin: - if(type == "POI") - { - f4pPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - (dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)); - } - else if(type == "RP") - { - f4pPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - (dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - + dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)); - } - } // end of if((dmPtEta-dmPrimePrimePtEta)*dMult*(dMult-1.)*(dMult-2.) - // +dmPrimePrimePtEta*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - */ - - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - -} // end of AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForDifferentialFlowSinTerms(TString type) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::EvaluateNestedLoopsForDifferentialFlow(AliFlowEventSimple* anEvent) -{ - // evaluate the nested loops relevant for differential flow (needed for cross-checking the results) - - Int_t nPrim = anEvent->NumberOfTracks(); - AliFlowTrackSimple *aftsTrack = NULL; - - Double_t psi1=0., phi2=0., phi3=0., phi4=0.;// phi5=0., phi6=0., phi7=0., phi8=0.; - Double_t wPhi1=1., wPhi2=1., wPhi3=1., wPhi4=1.;// wPhi5=1., wPhi6=1., wPhi7=1., wPhi8=1.; - - Int_t n = fHarmonic; // to be improved - - // ******************************************** - // **** NESTED LOOPS FOR DIFFERENTIAL FLOW **** - // ******************************************** - - // Remark 1: (pt,eta) bin in which the cross-checking will be performed is given by 1.1 < pt < 1.2 GeV and -0.55 < eta < -0.525 - - // Remark 2: multi-particle correlations needed for diff. flow calculated with nested loops without weights are stored in 1D profile - // fDirectCorrelationsDiffFlow - - // Remark 3: multi-particle correlations needed for diff. flow calculated with nested loops with weights are stored in 1D profile - // fDirectCorrelationsDiffFlowW; - - // Remark 4: binning of fDirectCorrelationsDiffFlow is organized as follows: - //...................................................................................... - // ---- bins 1-20: 2-particle correlations ---- - // 1st bin: <2'>_{1n|1n} = twoPrime1n1n = - // ---- bins 21-40: 3-particle correlations ---- - // ---- bins 41-60: 4-particle correlations ---- - // 41st bin: <4'>_{1n,1n|1n,1n} = fourPrime1n1n1n1n = - //...................................................................................... - - // Remark 5: binning of fDirectCorrelationsDiffFlow is organized as follows: - //...................................................................................... - // ---- bins 1-20: 2-particle correlations ---- - // 1st bin: twoPrime1n1nW0W1 = - // ---- bins 21-40: 3-particle correlations ---- - // ---- bins 41-60: 4-particle correlations ---- - // 41st bin: fourPrime1n1n1n1nW0W1W1W1 = - //...................................................................................... - - // 2'-particle: - for(Int_t i1=0;i1GetTrack(i1); - // POI condition (first particle in the correlator must be POI): - if(!((aftsTrack->Pt()>=1.1 && aftsTrack->Pt()<1.2) && (aftsTrack->Eta()>=-0.55 && aftsTrack->Eta()<-0.525) && (aftsTrack->InPOISelection())))continue; - psi1=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(psi1*fnBinsPhi/TMath::TwoPi()))); - - fDirectCorrectionsDiffFlowCos->Fill(0.,cos(1.*n*(psi1)),1.); // <> - fDirectCorrectionsDiffFlowSin->Fill(0.,sin(1.*n*(psi1)),1.); // <> - - for(Int_t i2=0;i2GetTrack(i2); - // RP condition (!(first) particle in the correlator must be RP): - if(!(aftsTrack->InRPSelection()))continue; - phi2=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); - - // non-weighted: - //..................................................................................... - fDirectCorrelationsDiffFlow->Fill(0.,cos(1.*n*(psi1-phi2)),1.); // - //..................................................................................... - // weighted: - //..................................................................................... - if(fUsePhiWeights) fDirectCorrelationsDiffFlowW->Fill(0.,cos(1.*n*(psi1-phi2)),wPhi2); // - //..................................................................................... - - //fDirectCorrelations->Fill(103.,cos(1.*n*(phi1-phi2)),pow(wPhi1,2)*wPhi2);//<2'>_{n,n} - //fDirectCorrelations->Fill(104.,cos(2.*n*(phi1-phi2)),wPhi1*pow(wPhi2,2));//<2'>_{n,n} - //fDirectCorrelations->Fill(105.,cos(1.*n*(phi1-phi2)),pow(wPhi2,3));//<2'>_{n,n} - //fDirectCorrelations->Fill(41.,cos(2.*n*(phi1-phi2)),1);//<2'>_{2n,2n} - //fDirectCorrelations->Fill(42.,cos(3.*n*(phi1-phi2)),1);//<2'>_{3n,3n} - //fDirectCorrelations->Fill(43.,cos(4.*n*(phi1-phi2)),1);//<2'>_{4n,4n} - - }//end of for(Int_t i2=0;i2_{2n|n,n} - for(Int_t i1=0;i1GetTrack(i1); - if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition - psi1=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(psi1*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi2=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i3=0;i3GetTrack(i3); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi3=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); - //fill the fDirectCorrelations: - - // 2-p - //fDirectCorrelations->Fill(101.,cos(n*(phi2-phi3)),wPhi1*wPhi2*wPhi3); // - //fDirectCorrelations->Fill(102.,cos(n*(phi1-phi3)),pow(wPhi2,2.)*wPhi3); // - - // 3-p - //fDirectCorrelations->Fill(110.,cos(n*(2.*phi1-phi2-phi3)),wPhi1*wPhi2*wPhi3); // - //fDirectCorrelations->Fill(111.,cos(n*(phi1+phi2-2.*phi3)),wPhi2*pow(wPhi3,2.)); // - - - //fDirectCorrelations->Fill(46.,cos(n*(phi1+phi2-2.*phi3)),1);//<3'>_{n,n|2n} - }//end of for(Int_t i3=0;i3GetTrack(i1); - // POI condition (first particle in the correlator must be POI): - if(!((aftsTrack->Pt()>=1.1 && aftsTrack->Pt()<1.2) && (aftsTrack->Eta()>=-0.55 && aftsTrack->Eta()<-0.525) && (aftsTrack->InPOISelection())))continue; - psi1=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(psi1*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i2=0;i2GetTrack(i2); - // RP condition (!(first) particle in the correlator must be RP): - if(!(aftsTrack->InRPSelection()))continue; - phi2=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i3=0;i3GetTrack(i3); - // RP condition (!(first) particle in the correlator must be RP): - if(!(aftsTrack->InRPSelection()))continue; - phi3=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i4=0;i4GetTrack(i4); - // RP condition (!(first) particle in the correlator must be RP): - if(!(aftsTrack->InRPSelection()))continue; - phi4=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi()))); - - // non-weighted: - //......................................................................................................................... - fDirectCorrelationsDiffFlow->Fill(40.,cos(n*(psi1+phi2-phi3-phi4)),1.); // - //......................................................................................................................... - // weighted: - //............................................................................................................................... - if(fUsePhiWeights) fDirectCorrelationsDiffFlowW->Fill(40.,cos(n*(psi1+phi2-phi3-phi4)),wPhi2*wPhi3*wPhi4); // - //............................................................................................................................... - - }//end of for(Int_t i4=0;i4_{2n,n|n,n,n} - for(Int_t i1=0;i1GetTrack(i1); - if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition - phi1=aftsTrack->Phi(); - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi2=aftsTrack->Phi(); - for(Int_t i3=0;i3GetTrack(i3); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi3=aftsTrack->Phi(); - for(Int_t i4=0;i4GetTrack(i4); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi4=aftsTrack->Phi();// - for(Int_t i5=0;i5GetTrack(i5); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi5=aftsTrack->Phi(); - //fill the fDirectCorrelations:if(bNestedLoops) - //fDirectCorrelations->Fill(55.,cos(2.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5),1);//<5'>_{2n,n|n,n,n} - }//end of for(Int_t i5=0;i5_{n,n,n|n,n,n} - for(Int_t i1=0;i1GetTrack(i1); - if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition - phi1=aftsTrack->Phi(); - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi2=aftsTrack->Phi(); - for(Int_t i3=0;i3GetTrack(i3); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi3=aftsTrack->Phi(); - for(Int_t i4=0;i4GetTrack(i4); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi4=aftsTrack->Phi(); - for(Int_t i5=0;i5GetTrack(i5); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi5=aftsTrack->Phi(); - for(Int_t i6=0;i6GetTrack(i6); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi6=aftsTrack->Phi(); - //fill the fDirectCorrelations: - //fDirectCorrelations->Fill(60.,cos(n*(phi1+phi2+phi3-phi4-phi5-phi6)),1);//<6'>_{n,n,n|n,n,n} - }//end of for(Int_t i6=0;i6_{2n,n,n|n,n,n,n} - for(Int_t i1=0;i1GetTrack(i1); - if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition - phi1=aftsTrack->Phi(); - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi2=aftsTrack->Phi(); - for(Int_t i3=0;i3GetTrack(i3); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi3=aftsTrack->Phi(); - for(Int_t i4=0;i4GetTrack(i4); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi4=aftsTrack->Phi(); - for(Int_t i5=0;i5GetTrack(i5); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi5=aftsTrack->Phi(); - for(Int_t i6=0;i6GetTrack(i6); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi6=aftsTrack->Phi(); - for(Int_t i7=0;i7GetTrack(i7); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi7=aftsTrack->Phi(); - //fill the fDirectCorrelations: - //fDirectCorrelations->Fill(65.,cos(2.*n*phi1+n*phi2+n*phi3-n*phi4-n*phi5-n*phi6-n*phi7),1);//<7'>_{2n,n,n|n,n,n,n} - }//end of for(Int_t i7=0;i7_{n,n,n,n|n,n,n,n} - for(Int_t i1=0;i1GetTrack(i1); - if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition - phi1=aftsTrack->Phi(); - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi2=aftsTrack->Phi(); - for(Int_t i3=0;i3GetTrack(i3); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi3=aftsTrack->Phi(); - for(Int_t i4=0;i4GetTrack(i4); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi4=aftsTrack->Phi(); - for(Int_t i5=0;i5GetTrack(i5); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi5=aftsTrack->Phi(); - for(Int_t i6=0;i6GetTrack(i6); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi6=aftsTrack->Phi(); - for(Int_t i7=0;i7GetTrack(i7); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi7=aftsTrack->Phi(); - for(Int_t i8=0;i8GetTrack(i8); - if(!(aftsTrack->InRPSelection()))continue;//RP condition - phi8=aftsTrack->Phi(); - //fill the fDirectCorrelations: - //fDirectCorrelations->Fill(70.,cos(n*(phi1+phi2+phi3+phi4-phi5-phi6-phi7-phi8)),1);//<8'>_{n,n,n,n|n,n,n,n} - }//end of for(Int_t i8=0;i8GetPointersForCommonHistograms(outputListHistos); // to be improved (no need to pass here argument, use setter for base list instead) - this->GetPointersForParticleWeightsHistograms(outputListHistos); // to be improved (no need to pass here argument, use setter for base list instead) - this->GetPointersForIntFlowHistograms(outputListHistos); // to be improved (no need to pass here argument, use setter for base list instead) - this->GetPointersForDiffFlowHistograms(outputListHistos); // to be improved (no need to pass here argument, use setter for base list instead) - this->GetPointersForNestedLoopsHistograms(outputListHistos); // to be improved (no need to pass here argument, use setter for base list instead) - } - - - /* - - // x.) nested loops: - TList *nestedLoopsList = dynamic_cast(outputListHistos->FindObject("Nested Loops")); - if(nestedLoopsList) this->SetNestedLoopsList(nestedLoopsList); - TProfile *evaluateNestedLoops = dynamic_cast(nestedLoopsList->FindObject("fEvaluateNestedLoops")); - Bool_t bEvaluateNestedLoopsForIntFlow = kFALSE; - Bool_t bEvaluateNestedLoopsForDiffFlow = kFALSE; - if(evaluateNestedLoops) - { - this->SetEvaluateNestedLoops(evaluateNestedLoops); - bEvaluateNestedLoopsForIntFlow = (Int_t)evaluateNestedLoops->GetBinContent(1); - bEvaluateNestedLoopsForDiffFlow = (Int_t)evaluateNestedLoops->GetBinContent(2); - } - - if(bEvaluateNestedLoopsForIntFlow) - { - TProfile *directCorrelations = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelation")); - if(directCorrelations) this->SetDirectCorrelations(directCorrelations); - TProfile *directCorrectionsCos = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsCos")); - if(directCorrectionsCos) this->SetDirectCorrectionsCos(directCorrectionsCos); - TProfile *directCorrectionsSin = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsSin")); - if(directCorrectionsSin) this->SetDirectCorrectionsSin(directCorrectionsSin); - if(bUsePhiWeights||bUsePtWeights||bUseEtaWeights) - { - TProfile *directCorrelationsW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelationW")); - if(directCorrelationsW) this->SetDirectCorrelationsW(directCorrelationsW); - TProfile *directCorrectionsCosW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsCosW")); - if(directCorrectionsCosW) this->SetDirectCorrectionsCosW(directCorrectionsCosW); - TProfile *directCorrectionsSinW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsSinW")); - if(directCorrectionsSinW) this->SetDirectCorrectionsSinW(directCorrectionsSinW); - } - } - - if(bEvaluateNestedLoopsForDiffFlow) - { - TProfile *directCorrelationsDiffFlow = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelationsDiffFlow")); - if(directCorrelationsDiffFlow) this->SetDirectCorrelationsDiffFlow(directCorrelationsDiffFlow); - TProfile *directCorrectionsDiffFlowCos = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowCos")); - if(directCorrectionsDiffFlowCos) this->SetDirectCorrectionsDiffFlowCos(directCorrectionsDiffFlowCos); - TProfile *directCorrectionsDiffFlowSin = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowSin")); - if(directCorrectionsDiffFlowSin) this->SetDirectCorrectionsDiffFlowSin(directCorrectionsDiffFlowSin); - if(bUsePhiWeights||bUsePtWeights||bUseEtaWeights) - { - TProfile *directCorrelationsDiffFlowW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelationsDiffFlowW")); - if(directCorrelationsDiffFlowW) this->SetDirectCorrelationsDiffFlowW(directCorrelationsDiffFlowW); - TProfile *directCorrectionsDiffFlowCosW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowCosW")); - if(directCorrectionsDiffFlowCosW) this->SetDirectCorrectionsDiffFlowCosW(directCorrectionsDiffFlowCosW); - TProfile *directCorrectionsDiffFlowSinW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowSinW")); - if(directCorrectionsDiffFlowSinW) this->SetDirectCorrectionsDiffFlowSinW(directCorrectionsDiffFlowSinW); - } - } - - } - - */ - - - -} - - -//================================================================================================================================ - - -TProfile* AliFlowAnalysisWithQCumulants::MakePtProjection(TProfile2D *profilePtEta) const -{ - // project 2D profile onto pt axis to get 1D profile - - Int_t nBinsPt = profilePtEta->GetNbinsX(); - Double_t dPtMin = (profilePtEta->GetXaxis())->GetXmin(); - Double_t dPtMax = (profilePtEta->GetXaxis())->GetXmax(); - - Int_t nBinsEta = profilePtEta->GetNbinsY(); - - TProfile *profilePt = new TProfile("","",nBinsPt,dPtMin,dPtMax); - - for(Int_t p=1;p<=nBinsPt;p++) - { - Double_t contentPt = 0.; - Double_t entryPt = 0.; - Double_t spreadPt = 0.; - Double_t sum1 = 0.; - Double_t sum2 = 0.; - Double_t sum3 = 0.; - for(Int_t e=1;e<=nBinsEta;e++) - { - contentPt += (profilePtEta->GetBinContent(profilePtEta->GetBin(p,e))) - * (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); - entryPt += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); - - sum1 += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))) - * (pow(profilePtEta->GetBinError(profilePtEta->GetBin(p,e)),2.) - + pow(profilePtEta->GetBinContent(profilePtEta->GetBin(p,e)),2.)); - sum2 += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); - sum3 += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))) - * (profilePtEta->GetBinContent(profilePtEta->GetBin(p,e))); - } - if(sum2>0. && sum1/sum2-pow(sum3/sum2,2.) > 0.) - { - spreadPt = pow(sum1/sum2-pow(sum3/sum2,2.),0.5); - } - profilePt->SetBinContent(p,contentPt); - profilePt->SetBinEntries(p,entryPt); - { - profilePt->SetBinError(p,spreadPt); - } - - } - - return profilePt; - -} // end of TProfile* AliFlowAnalysisWithQCumulants::MakePtProjection(TProfile2D *profilePtEta) - - -//================================================================================================================================ - - -TProfile* AliFlowAnalysisWithQCumulants::MakeEtaProjection(TProfile2D *profilePtEta) const -{ - // project 2D profile onto eta axis to get 1D profile - - Int_t nBinsEta = profilePtEta->GetNbinsY(); - Double_t dEtaMin = (profilePtEta->GetYaxis())->GetXmin(); - Double_t dEtaMax = (profilePtEta->GetYaxis())->GetXmax(); - - Int_t nBinsPt = profilePtEta->GetNbinsX(); - - TProfile *profileEta = new TProfile("","",nBinsEta,dEtaMin,dEtaMax); - - for(Int_t e=1;e<=nBinsEta;e++) - { - Double_t contentEta = 0.; - Double_t entryEta = 0.; - for(Int_t p=1;p<=nBinsPt;p++) - { - contentEta += (profilePtEta->GetBinContent(profilePtEta->GetBin(p,e))) - * (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); - entryEta += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); - } - profileEta->SetBinContent(e,contentEta); - profileEta->SetBinEntries(e,entryEta); - } - - return profileEta; - -} // end of TProfile* AliFlowAnalysisWithQCumulants::MakeEtaProjection(TProfile2D *profilePtEta) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateFinalCorrectionsForNonUniformAcceptanceForDifferentialFlow(Bool_t useParticleWeights,TString type) -{ - - useParticleWeights=kFALSE; - type="ac"; - - // calculate final corrections due to non-uniform acceptance of the detector to reduced multi-particle correlations - /* - if(!(useParticleWeights)) - { - if(type == "POI") - { - // **** corrections for non-uniform acceptance for 2nd order QC' for POI's **** - - // 1st term: <><>: - if(fCorrectionsCosP1nPsiPtEtaPOI && fQCorrectionsCos) - { - // pt,eta: - if(f2pFinalCorrectionsForNUAPtEtaPOI) f2pFinalCorrectionsForNUAPtEtaPOI->Reset(); // to be improved - TH2D *correctionPtEta1stTerm = new TH2D(*(fCorrectionsCosP1nPsiPtEtaPOI->ProjectionXY("","e"))); - correctionPtEta1stTerm->Scale(fQCorrectionsCos->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtEtaPOI) f2pFinalCorrectionsForNUAPtEtaPOI->Add(correctionPtEta1stTerm); // to be improved (if condition goes somewhere else) - delete correctionPtEta1stTerm; - // pt: - if(f2pFinalCorrectionsForNUAPtPOI) f2pFinalCorrectionsForNUAPtPOI->Reset(); // to be improved - TH1D *correctionPt1stTerm = new TH1D(*((this->MakePtProjection(fCorrectionsCosP1nPsiPtEtaPOI))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionPt1stTerm->Scale(fQCorrectionsCos->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtPOI) f2pFinalCorrectionsForNUAPtPOI->Add(correctionPt1stTerm); // to be improved (if condition goes somewhere else) - delete correctionPt1stTerm; - // eta: - if(f2pFinalCorrectionsForNUAEtaPOI) f2pFinalCorrectionsForNUAEtaPOI->Reset(); // to be improved - TH1D *correctionEta1stTerm = new TH1D(*((this->MakeEtaProjection(fCorrectionsCosP1nPsiPtEtaPOI))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionEta1stTerm->Scale(fQCorrectionsCos->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAEtaPOI) f2pFinalCorrectionsForNUAEtaPOI->Add(correctionEta1stTerm); // to be improved (if condition goes somewhere else) - delete correctionEta1stTerm; - } else - { - cout<<"WARNING: (fCorrectionsCosP1nPsiPtEtaPOI && fQCorrectionsCos && f2pFinalCorrectionsForNUAPtEtaPOI) is NULL in QC::CFCFNUAFDF() !!!! "<><>: - if(fCorrectionsSinP1nPsiPtEtaPOI && fQCorrectionsSin) - { - // pt,eta: - TH2D *correctionPtEta2ndTerm = new TH2D(*(fCorrectionsSinP1nPsiPtEtaPOI->ProjectionXY("","e"))); - correctionPtEta2ndTerm->Scale(fQCorrectionsSin->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtEtaPOI) f2pFinalCorrectionsForNUAPtEtaPOI->Add(correctionPtEta2ndTerm); // to be improved (if condition goes somewhere else) - delete correctionPtEta2ndTerm; - // pt: - TH1D *correctionPt2ndTerm = new TH1D(*((this->MakePtProjection(fCorrectionsSinP1nPsiPtEtaPOI))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionPt2ndTerm->Scale(fQCorrectionsSin->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtPOI) f2pFinalCorrectionsForNUAPtPOI->Add(correctionPt2ndTerm); // to be improved (if condition goes somewhere else) - delete correctionPt2ndTerm; - // eta: - TH1D *correctionEta2ndTerm = new TH1D(*((this->MakeEtaProjection(fCorrectionsSinP1nPsiPtEtaPOI))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionEta2ndTerm->Scale(fQCorrectionsSin->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAEtaPOI) f2pFinalCorrectionsForNUAEtaPOI->Add(correctionEta2ndTerm); // to be improved (if condition goes somewhere else) - delete correctionEta2ndTerm; - } else - { - cout<<"WARNING: (fCorrectionsSinP1nPsiPtEtaPOI && fQCorrectionsSin) is NULL in QC::CFCFNUAFDF() !!!! "<><>: - if(fCorrectionsCosP1nPsiPtEtaRP && fQCorrectionsCos) - { - // pt,eta: - if(f2pFinalCorrectionsForNUAPtEtaRP) f2pFinalCorrectionsForNUAPtEtaRP->Reset(); // to be improved - TH2D *correctionPtEta1stTerm = new TH2D(*(fCorrectionsCosP1nPsiPtEtaRP->ProjectionXY("","e"))); - correctionPtEta1stTerm->Scale(fQCorrectionsCos->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtEtaRP) f2pFinalCorrectionsForNUAPtEtaRP->Add(correctionPtEta1stTerm); // to be improved (if condition goes somewhere else) - delete correctionPtEta1stTerm; - // pt: - if(f2pFinalCorrectionsForNUAPtRP) f2pFinalCorrectionsForNUAPtRP->Reset(); // to be improved - TH1D *correctionPt1stTerm = new TH1D(*((this->MakePtProjection(fCorrectionsCosP1nPsiPtEtaRP))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionPt1stTerm->Scale(fQCorrectionsCos->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtRP) f2pFinalCorrectionsForNUAPtRP->Add(correctionPt1stTerm); // to be improved (if condition goes somewhere else) - delete correctionPt1stTerm; - // eta: - if(f2pFinalCorrectionsForNUAEtaRP) f2pFinalCorrectionsForNUAEtaRP->Reset(); // to be improved - TH1D *correctionEta1stTerm = new TH1D(*((this->MakeEtaProjection(fCorrectionsCosP1nPsiPtEtaRP))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionEta1stTerm->Scale(fQCorrectionsCos->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAEtaRP) f2pFinalCorrectionsForNUAEtaRP->Add(correctionEta1stTerm); // to be improved (if condition goes somewhere else) - delete correctionEta1stTerm; - } else - { - cout<<"WARNING: (fCorrectionsCosP1nPsiPtEtaRP && fQCorrectionsCos) is NULL in QC::CFCFNUAFDF() !!!! "<><>: - if(fCorrectionsSinP1nPsiPtEtaRP && fQCorrectionsSin) - { - // pt,eta: - TH2D *correctionPtEta2ndTerm = new TH2D(*(fCorrectionsSinP1nPsiPtEtaRP->ProjectionXY("","e"))); - correctionPtEta2ndTerm->Scale(fQCorrectionsSin->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtEtaRP) f2pFinalCorrectionsForNUAPtEtaRP->Add(correctionPtEta2ndTerm); // to be improved (if condition goes somewhere else) - delete correctionPtEta2ndTerm; - // pt: - TH1D *correctionPt2ndTerm = new TH1D(*((this->MakePtProjection(fCorrectionsSinP1nPsiPtEtaRP))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionPt2ndTerm->Scale(fQCorrectionsSin->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAPtRP) f2pFinalCorrectionsForNUAPtRP->Add(correctionPt2ndTerm); // to be improved (if condition goes somewhere else) - delete correctionPt2ndTerm; - // eta: - TH1D *correctionEta2ndTerm = new TH1D(*((this->MakeEtaProjection(fCorrectionsSinP1nPsiPtEtaRP))->ProjectionX("","e"))); // to be improved: are errors propagated correctly here? - correctionEta2ndTerm->Scale(fQCorrectionsSin->GetBinContent(1)); // to be improved: are errors propagated correctly here? - if(f2pFinalCorrectionsForNUAEtaRP) f2pFinalCorrectionsForNUAEtaRP->Add(correctionEta2ndTerm); // to be improved (if condition goes somewhere else) - delete correctionEta2ndTerm; - } else - { - cout<<"WARNING: (fCorrectionsSinP1nPsiPtEtaRP && fQCorrectionsSin) is NULL in QC::CFCFNUAFDF() !!!! "<GetHistIntFlow())->GetBinContent(1); - dVnErr[0] = (fCommonHistsResults2nd->GetHistIntFlow())->GetBinError(1); - dVn[1] = (fCommonHistsResults4th->GetHistIntFlow())->GetBinContent(1); - dVnErr[1] = (fCommonHistsResults4th->GetHistIntFlow())->GetBinError(1); - dVn[2] = (fCommonHistsResults6th->GetHistIntFlow())->GetBinContent(1); - dVnErr[2] = (fCommonHistsResults6th->GetHistIntFlow())->GetBinError(1); - dVn[3] = (fCommonHistsResults8th->GetHistIntFlow())->GetBinContent(1); - dVnErr[3] = (fCommonHistsResults8th->GetHistIntFlow())->GetBinError(1); - } else if(type == "RP") - { - dVn[0] = (fCommonHistsResults2nd->GetHistIntFlowRP())->GetBinContent(1); - dVnErr[0] = (fCommonHistsResults2nd->GetHistIntFlowRP())->GetBinError(1); - dVn[1] = (fCommonHistsResults4th->GetHistIntFlowRP())->GetBinContent(1); - dVnErr[1] = (fCommonHistsResults4th->GetHistIntFlowRP())->GetBinError(1); - dVn[2] = (fCommonHistsResults6th->GetHistIntFlowRP())->GetBinContent(1); - dVnErr[2] = (fCommonHistsResults6th->GetHistIntFlowRP())->GetBinError(1); - dVn[3] = (fCommonHistsResults8th->GetHistIntFlowRP())->GetBinContent(1); - dVnErr[3] = (fCommonHistsResults8th->GetHistIntFlowRP())->GetBinError(1); - } else if(type == "POI") - { - dVn[0] = (fCommonHistsResults2nd->GetHistIntFlowPOI())->GetBinContent(1); - dVnErr[0] = (fCommonHistsResults2nd->GetHistIntFlowPOI())->GetBinError(1); - dVn[1] = (fCommonHistsResults4th->GetHistIntFlowPOI())->GetBinContent(1); - dVnErr[1] = (fCommonHistsResults4th->GetHistIntFlowPOI())->GetBinError(1); - dVn[2] = (fCommonHistsResults6th->GetHistIntFlowPOI())->GetBinContent(1); - dVnErr[2] = (fCommonHistsResults6th->GetHistIntFlowPOI())->GetBinError(1); - dVn[3] = (fCommonHistsResults8th->GetHistIntFlowPOI())->GetBinContent(1); - dVnErr[3] = (fCommonHistsResults8th->GetHistIntFlowPOI())->GetBinError(1); - } - - TString title = " flow estimates from Q-cumulants"; - TString subtitle = " ("; - - if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) - { - subtitle.Append(type); - subtitle.Append(", without weights)"); - } else - { - subtitle.Append(type); - subtitle.Append(", with weights)"); - } - - cout<=0.) - { - cout<<" v_"< from Q-vectors = "<GetBinContent(fCorrelationsPro[0][0][0][0]->GetBin(12,19))< from nested loops = "<GetBinContent(1)< from Q-vectors = "<GetBinContent(fCorrelationsPro[0][0][0][1]->GetBin(12,19))< from nested loops = "<GetBinContent(41)< from Q-vectors = "<GetBinContent(fCorrectionsCosP1nPsiPtEtaPOI->GetBin(12,19))< from nested loops = "<GetBinContent(1)< from Q-vectors = "<GetBinContent(fCorrectionsSinP1nPsiPtEtaPOI->GetBin(12,19))< from nested loops = "<GetBinContent(1)< from Q-vectors (RP) = "<GetBinContent(fCorrelationsPro[0][1][0][0]->GetBin(12,19))< from Q-vectors (POI) = "<GetBinContent(fCorrelationsPro[1][1][0][0]->GetBin(12,19))< from nested loops = "<GetBinContent(1)< from Q-vectors (RP) = "<GetBinContent(fCorrelationsPro[0][1][0][1]->GetBin(12,19))< from Q-vectors (POI) = "<GetBinContent(fCorrelationsPro[1][1][0][1]->GetBin(12,19))< from nested loops = "<GetBinContent(41)<WriteObject(fHistList, "cobjQC","SingleKey"); - fHistList->Write(fHistList->GetName(), TObject::kSingleKey); - delete output; -} - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::BookCommonHistograms() -{ - // Book common control histograms and common histograms for final results. + + // ************************** + // **** ACCESS THE FLAGS **** // to be improved (moved somewhere else) + // ************************** + fUsePhiWeights = (Int_t)fUseParticleWeights->GetBinContent(1); + fUsePtWeights = (Int_t)fUseParticleWeights->GetBinContent(2); + fUseEtaWeights = (Int_t)fUseParticleWeights->GetBinContent(3); + fApplyCorrectionForNUA = (Int_t)fIntFlowFlags->GetBinContent(3); + fPrintFinalResults[0] = (Int_t)fIntFlowFlags->GetBinContent(4); + fPrintFinalResults[1] = (Int_t)fIntFlowFlags->GetBinContent(5); + fPrintFinalResults[2] = (Int_t)fIntFlowFlags->GetBinContent(6); + fEvaluateIntFlowNestedLoops = (Int_t)fEvaluateNestedLoops->GetBinContent(1); + fEvaluateDiffFlowNestedLoops = (Int_t)fEvaluateNestedLoops->GetBinContent(2); + fCrossCheckInPtBinNo = (Int_t)fEvaluateNestedLoops->GetBinContent(3); + fCrossCheckInEtaBinNo = (Int_t)fEvaluateNestedLoops->GetBinContent(4); + + // ********************************************************* + // **** CALCULATE THE FINAL RESULTS FOR INTEGRATED FLOW **** + // ********************************************************* + + this->FinalizeCorrelationsIntFlow(); + this->CalculateCovariancesIntFlow(); + this->CalculateCumulantsIntFlow(); + this->CalculateIntFlow(); + + if(fApplyCorrectionForNUA) // to be improved (reorganized, etc) + { + this->FinalizeCorrectionTermsForNUAIntFlow(); + // this->CalculateCovariancesNUAIntFlow(); // to be improved (enabled eventually) + this->CalculateQcumulantsCorrectedForNUAIntFlow(); + this->CalculateIntFlowCorrectedForNUA(); + } + + // *************************************************************** + // **** STORE AND PRINT THE FINAL RESULTS FOR INTEGRATED FLOW **** + // *************************************************************** + + this->FillCommonHistResultsIntFlow(); + + if(fPrintFinalResults[0]) + { + this->PrintFinalResultsForIntegratedFlow("NONAME"); // to be improved (name) + } + + // *********************************************************** + // **** CALCULATE THE FINAL RESULTS FOR DIFFERENTIAL FLOW **** + // *********************************************************** + + this->FinalizeReducedCorrelations("RP","Pt"); + this->FinalizeReducedCorrelations("RP","Eta"); + this->FinalizeReducedCorrelations("POI","Pt"); + this->FinalizeReducedCorrelations("POI","Eta"); + this->CalculateDiffFlowCovariances("RP","Pt"); + this->CalculateDiffFlowCovariances("RP","Eta"); + this->CalculateDiffFlowCovariances("POI","Pt"); + this->CalculateDiffFlowCovariances("POI","Eta"); + this->CalculateDiffFlowCumulants("RP","Pt"); + this->CalculateDiffFlowCumulants("RP","Eta"); + this->CalculateDiffFlowCumulants("POI","Pt"); + this->CalculateDiffFlowCumulants("POI","Eta"); + this->CalculateDiffFlow("RP","Pt"); + this->CalculateDiffFlow("RP","Eta"); + this->CalculateDiffFlow("POI","Pt"); + this->CalculateDiffFlow("POI","Eta"); + + if(fApplyCorrectionForNUA) // to be improved (reorganized, etc) + { + this->FinalizeCorrectionTermsForNUADiffFlow("RP","Pt"); + this->FinalizeCorrectionTermsForNUADiffFlow("RP","Eta"); + this->FinalizeCorrectionTermsForNUADiffFlow("POI","Pt"); + this->FinalizeCorrectionTermsForNUADiffFlow("POI","Eta"); + this->CalculateDiffFlowCumulantsCorrectedForNUA("RP","Pt"); + this->CalculateDiffFlowCumulantsCorrectedForNUA("RP","Eta"); + this->CalculateDiffFlowCumulantsCorrectedForNUA("POI","Pt"); + this->CalculateDiffFlowCumulantsCorrectedForNUA("POI","Eta"); + this->CalculateDiffFlowCorrectedForNUA("RP","Pt"); + this->CalculateDiffFlowCorrectedForNUA("RP","Eta"); + this->CalculateDiffFlowCorrectedForNUA("POI","Pt"); + this->CalculateDiffFlowCorrectedForNUA("POI","Eta"); + } + + this->CalculateFinalResultsForRPandPOIIntegratedFlow("RP"); + this->CalculateFinalResultsForRPandPOIIntegratedFlow("POI"); + + // ***************************************************************** + // **** STORE AND PRINT THE FINAL RESULTS FOR DIFFERENTIAL FLOW **** + // ***************************************************************** + this->FillCommonHistResultsDiffFlow("RP"); + this->FillCommonHistResultsDiffFlow("POI"); + + if(fPrintFinalResults[1]) + { + this->PrintFinalResultsForIntegratedFlow("RP"); + } + if(fPrintFinalResults[2]) + { + this->PrintFinalResultsForIntegratedFlow("POI"); + } + // g) cross-check the results: results from Q-vectors vs results from nested loops + + // g1) integrated flow: + if(fEvaluateIntFlowNestedLoops) + { + this->CrossCheckIntFlowCorrelations(); + this->CrossCheckIntFlowCorrectionTermsForNUA(); + if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) this->CrossCheckIntFlowExtraCorrelations(); + } // end of if(fEvaluateIntFlowNestedLoops) + + // g2) differential flow: + if(fEvaluateDiffFlowNestedLoops) + { + // correlations: + this->PrintNumberOfParticlesInSelectedBin(); + this->CrossCheckDiffFlowCorrelations("RP","Pt"); + this->CrossCheckDiffFlowCorrelations("RP","Eta"); + this->CrossCheckDiffFlowCorrelations("POI","Pt"); + this->CrossCheckDiffFlowCorrelations("POI","Eta"); + // correction terms for non-uniform acceptance: + this->CrossCheckDiffFlowCorrectionTermsForNUA("RP","Pt"); + this->CrossCheckDiffFlowCorrectionTermsForNUA("RP","Eta"); + this->CrossCheckDiffFlowCorrectionTermsForNUA("POI","Pt"); + this->CrossCheckDiffFlowCorrectionTermsForNUA("POI","Eta"); + } // end of if(fEvaluateDiffFlowNestedLoops) + +} // end of AliFlowAnalysisWithQCumulants::Finish() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUACosTerms() +{ + // calculate corrections for non-uniform acceptance of the detector for no-name integrated flow (cos terms) + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n = (*fReQ)(0,0); + Double_t dReQ2n = (*fReQ)(1,0); + //Double_t dReQ3n = (*fReQ)(2,0); + //Double_t dReQ4n = (*fReQ)(3,0); + Double_t dImQ1n = (*fImQ)(0,0); + Double_t dImQ2n = (*fImQ)(1,0); + //Double_t dImQ3n = (*fImQ)(2,0); + //Double_t dImQ4n = (*fImQ)(3,0); + + // ************************************************************* + // **** corrections for non-uniform acceptance (cos terms): **** + // ************************************************************* + // + // Remark 1: corrections for non-uniform acceptance (cos terms) calculated with non-weighted Q-vectors + // are stored in 1D profile fQCorrectionsCos. + // Remark 2: binning of fIntFlowCorrectionTermsForNUAPro[1] is organized as follows: + // -------------------------------------------------------------------------------------------------------------------- + // 1st bin: <> = cosP1n + // 2nd bin: <> = cosP1nP1n + // 3rd bin: <> = cosP1nM1nM1n + // 4th bin: <> = cosP2nM1n + // -------------------------------------------------------------------------------------------------------------------- + + // 1-particle: + Double_t cosP1n = 0.; // <> + + if(dMult>0) + { + cosP1n = dReQ1n/dMult; + + // average non-weighted 1-particle correction (cos terms) for non-uniform acceptance for single event: + fIntFlowCorrectionTermsForNUAEBE[1]->SetBinContent(1,cosP1n); + // event weights for NUA terms: + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->SetBinContent(1,dMult); + + // final average non-weighted 1-particle correction (cos terms) for non-uniform acceptance for all events: + fIntFlowCorrectionTermsForNUAPro[1]->Fill(0.5,cosP1n,dMult); + } + + // 2-particle: + Double_t cosP1nP1n = 0.; // <> + Double_t cosP2nM1n = 0.; // <> + + if(dMult>1) + { + cosP1nP1n = (pow(dReQ1n,2)-pow(dImQ1n,2)-dReQ2n)/(dMult*(dMult-1)); + cosP2nM1n = (dReQ2n*dReQ1n+dImQ2n*dImQ1n-dReQ1n)/(dMult*(dMult-1)); + + // average non-weighted 2-particle correction (cos terms) for non-uniform acceptance for single event: + fIntFlowCorrectionTermsForNUAEBE[1]->SetBinContent(2,cosP1nP1n); + fIntFlowCorrectionTermsForNUAEBE[1]->SetBinContent(4,cosP2nM1n); + // event weights for NUA terms: + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->SetBinContent(2,dMult*(dMult-1)); + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->SetBinContent(4,dMult*(dMult-1)); + + // final average non-weighted 2-particle correction (cos terms) for non-uniform acceptance for all events: + fIntFlowCorrectionTermsForNUAPro[1]->Fill(1.5,cosP1nP1n,dMult*(dMult-1)); + fIntFlowCorrectionTermsForNUAPro[1]->Fill(3.5,cosP2nM1n,dMult*(dMult-1)); + } + + // 3-particle: + Double_t cosP1nM1nM1n = 0.; // <> + + if(dMult>2) + { + cosP1nM1nM1n = (dReQ1n*(pow(dReQ1n,2)+pow(dImQ1n,2))-dReQ1n*dReQ2n-dImQ1n*dImQ2n-2.*(dMult-1)*dReQ1n) + / (dMult*(dMult-1)*(dMult-2)); + + // average non-weighted 3-particle correction (cos terms) for non-uniform acceptance for single event: + fIntFlowCorrectionTermsForNUAEBE[1]->SetBinContent(3,cosP1nM1nM1n); + // event weights for NUA terms: + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->SetBinContent(3,dMult*(dMult-1)*(dMult-2)); + + // final average non-weighted 3-particle correction (cos terms) for non-uniform acceptance for all events: + fIntFlowCorrectionTermsForNUAPro[1]->Fill(2.5,cosP1nM1nM1n,dMult*(dMult-1)*(dMult-2)); + } + +} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUACosTerms() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUASinTerms() +{ + // calculate corrections for non-uniform acceptance of the detector for no-name integrated flow (sin terms) + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n = (*fReQ)(0,0); + Double_t dReQ2n = (*fReQ)(1,0); + //Double_t dReQ3n = (*fReQ)(2,0); + //Double_t dReQ4n = (*fReQ)(3,0); + Double_t dImQ1n = (*fImQ)(0,0); + Double_t dImQ2n = (*fImQ)(1,0); + //Double_t dImQ3n = (*fImQ)(2,0); + //Double_t dImQ4n = (*fImQ)(3,0); + + // ************************************************************* + // **** corrections for non-uniform acceptance (sin terms): **** + // ************************************************************* + // + // Remark 1: corrections for non-uniform acceptance (sin terms) calculated with non-weighted Q-vectors + // are stored in 1D profile fQCorrectionsSin. + // Remark 2: binning of fIntFlowCorrectionTermsForNUAPro[0] is organized as follows: + // -------------------------------------------------------------------------------------------------------------------- + // 1st bin: <> = sinP1n + // 2nd bin: <> = sinP1nP1n + // 3rd bin: <> = sinP1nM1nM1n + // 4th bin: <> = sinP2nM1n + // -------------------------------------------------------------------------------------------------------------------- + + // 1-particle: + Double_t sinP1n = 0.; // + + if(dMult>0) + { + sinP1n = dImQ1n/dMult; + + // average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for single event: + fIntFlowCorrectionTermsForNUAEBE[0]->SetBinContent(1,sinP1n); + // event weights for NUA terms: + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->SetBinContent(1,dMult); + + // final average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for all events: + fIntFlowCorrectionTermsForNUAPro[0]->Fill(0.5,sinP1n,dMult); + } + + // 2-particle: + Double_t sinP1nP1n = 0.; // <> + Double_t sinP2nM1n = 0.; // <> + if(dMult>1) + { + sinP1nP1n = (2.*dReQ1n*dImQ1n-dImQ2n)/(dMult*(dMult-1)); + sinP2nM1n = (dImQ2n*dReQ1n-dReQ2n*dImQ1n-dImQ1n)/(dMult*(dMult-1)); + + // average non-weighted 2-particle correction (sin terms) for non-uniform acceptance for single event: + fIntFlowCorrectionTermsForNUAEBE[0]->SetBinContent(2,sinP1nP1n); + fIntFlowCorrectionTermsForNUAEBE[0]->SetBinContent(4,sinP2nM1n); + // event weights for NUA terms: + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->SetBinContent(2,dMult*(dMult-1)); + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->SetBinContent(4,dMult*(dMult-1)); + + // final average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for all events: + fIntFlowCorrectionTermsForNUAPro[0]->Fill(1.5,sinP1nP1n,dMult*(dMult-1)); + fIntFlowCorrectionTermsForNUAPro[0]->Fill(3.5,sinP2nM1n,dMult*(dMult-1)); + } + + // 3-particle: + Double_t sinP1nM1nM1n = 0.; // <> + + if(dMult>2) + { + sinP1nM1nM1n = (-dImQ1n*(pow(dReQ1n,2)+pow(dImQ1n,2))+dReQ1n*dImQ2n-dImQ1n*dReQ2n+2.*(dMult-1)*dImQ1n) + / (dMult*(dMult-1)*(dMult-2)); + + // average non-weighted 3-particle correction (sin terms) for non-uniform acceptance for single event: + fIntFlowCorrectionTermsForNUAEBE[0]->SetBinContent(3,sinP1nM1nM1n); + // event weights for NUA terms: + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->SetBinContent(3,dMult*(dMult-1)*(dMult-2)); + + // final average non-weighted 3-particle correction (sin terms) for non-uniform acceptance for all events: + fIntFlowCorrectionTermsForNUAPro[0]->Fill(2.5,sinP1nM1nM1n,dMult*(dMult-1)*(dMult-2)); + } + +} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrectionsForNUASinTerms() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::GetOutputHistograms(TList *outputListHistos) +{ + // a) Get pointers for common control and common result histograms and profiles. + // b) Get pointers for histograms with particle weights. + // c) Get pointers for histograms and profiles relevant for integrated flow. + // d) Get pointers for histograms and profiles relevant for differental flow. + // e) Get pointers for histograms and profiles holding results obtained with nested loops. + + if(outputListHistos) + { + this->SetHistList(outputListHistos); + if(!fHistList) + { + cout<GetPointersForCommonHistograms(); + this->GetPointersForParticleWeightsHistograms(); + this->GetPointersForIntFlowHistograms(); + this->GetPointersForDiffFlowHistograms(); + this->GetPointersForNestedLoopsHistograms(); + } else + { + cout<GetNbinsX(); + Double_t dPtMin = (profilePtEta->GetXaxis())->GetXmin(); + Double_t dPtMax = (profilePtEta->GetXaxis())->GetXmax(); + + Int_t nBinsEta = profilePtEta->GetNbinsY(); + + TProfile *profilePt = new TProfile("","",nBinsPt,dPtMin,dPtMax); + + for(Int_t p=1;p<=nBinsPt;p++) + { + Double_t contentPt = 0.; + Double_t entryPt = 0.; + Double_t spreadPt = 0.; + Double_t sum1 = 0.; + Double_t sum2 = 0.; + Double_t sum3 = 0.; + for(Int_t e=1;e<=nBinsEta;e++) + { + contentPt += (profilePtEta->GetBinContent(profilePtEta->GetBin(p,e))) + * (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); + entryPt += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); + + sum1 += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))) + * (pow(profilePtEta->GetBinError(profilePtEta->GetBin(p,e)),2.) + + pow(profilePtEta->GetBinContent(profilePtEta->GetBin(p,e)),2.)); + sum2 += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); + sum3 += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))) + * (profilePtEta->GetBinContent(profilePtEta->GetBin(p,e))); + } + if(sum2>0. && sum1/sum2-pow(sum3/sum2,2.) > 0.) + { + spreadPt = pow(sum1/sum2-pow(sum3/sum2,2.),0.5); + } + profilePt->SetBinContent(p,contentPt); + profilePt->SetBinEntries(p,entryPt); + { + profilePt->SetBinError(p,spreadPt); + } + + } + + return profilePt; + +} // end of TProfile* AliFlowAnalysisWithQCumulants::MakePtProjection(TProfile2D *profilePtEta) + + +//================================================================================================================================ + + +TProfile* AliFlowAnalysisWithQCumulants::MakeEtaProjection(TProfile2D *profilePtEta) const +{ + // project 2D profile onto eta axis to get 1D profile + + Int_t nBinsEta = profilePtEta->GetNbinsY(); + Double_t dEtaMin = (profilePtEta->GetYaxis())->GetXmin(); + Double_t dEtaMax = (profilePtEta->GetYaxis())->GetXmax(); + + Int_t nBinsPt = profilePtEta->GetNbinsX(); + + TProfile *profileEta = new TProfile("","",nBinsEta,dEtaMin,dEtaMax); + + for(Int_t e=1;e<=nBinsEta;e++) + { + Double_t contentEta = 0.; + Double_t entryEta = 0.; + for(Int_t p=1;p<=nBinsPt;p++) + { + contentEta += (profilePtEta->GetBinContent(profilePtEta->GetBin(p,e))) + * (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); + entryEta += (profilePtEta->GetBinEntries(profilePtEta->GetBin(p,e))); + } + profileEta->SetBinContent(e,contentEta); + profileEta->SetBinEntries(e,entryEta); + } + + return profileEta; + +} // end of TProfile* AliFlowAnalysisWithQCumulants::MakeEtaProjection(TProfile2D *profilePtEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::PrintFinalResultsForIntegratedFlow(TString type) +{ + // printing on the screen the final results for integrated flow (NONAME, POI and RP) // to be improved (NONAME) + + Int_t n = fHarmonic; + + if(type == "NONAME" || type == "RP" || type == "POI") + { + if(!(fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th)) + { + cout<<"WARNING: fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th"<GetHistIntFlow())->GetBinContent(1); + dVnErr[0] = (fCommonHistsResults2nd->GetHistIntFlow())->GetBinError(1); + dVn[1] = (fCommonHistsResults4th->GetHistIntFlow())->GetBinContent(1); + dVnErr[1] = (fCommonHistsResults4th->GetHistIntFlow())->GetBinError(1); + dVn[2] = (fCommonHistsResults6th->GetHistIntFlow())->GetBinContent(1); + dVnErr[2] = (fCommonHistsResults6th->GetHistIntFlow())->GetBinError(1); + dVn[3] = (fCommonHistsResults8th->GetHistIntFlow())->GetBinContent(1); + dVnErr[3] = (fCommonHistsResults8th->GetHistIntFlow())->GetBinError(1); + } else if(type == "RP") + { + dVn[0] = (fCommonHistsResults2nd->GetHistIntFlowRP())->GetBinContent(1); + dVnErr[0] = (fCommonHistsResults2nd->GetHistIntFlowRP())->GetBinError(1); + dVn[1] = (fCommonHistsResults4th->GetHistIntFlowRP())->GetBinContent(1); + dVnErr[1] = (fCommonHistsResults4th->GetHistIntFlowRP())->GetBinError(1); + dVn[2] = (fCommonHistsResults6th->GetHistIntFlowRP())->GetBinContent(1); + dVnErr[2] = (fCommonHistsResults6th->GetHistIntFlowRP())->GetBinError(1); + dVn[3] = (fCommonHistsResults8th->GetHistIntFlowRP())->GetBinContent(1); + dVnErr[3] = (fCommonHistsResults8th->GetHistIntFlowRP())->GetBinError(1); + } else if(type == "POI") + { + dVn[0] = (fCommonHistsResults2nd->GetHistIntFlowPOI())->GetBinContent(1); + dVnErr[0] = (fCommonHistsResults2nd->GetHistIntFlowPOI())->GetBinError(1); + dVn[1] = (fCommonHistsResults4th->GetHistIntFlowPOI())->GetBinContent(1); + dVnErr[1] = (fCommonHistsResults4th->GetHistIntFlowPOI())->GetBinError(1); + dVn[2] = (fCommonHistsResults6th->GetHistIntFlowPOI())->GetBinContent(1); + dVnErr[2] = (fCommonHistsResults6th->GetHistIntFlowPOI())->GetBinError(1); + dVn[3] = (fCommonHistsResults8th->GetHistIntFlowPOI())->GetBinContent(1); + dVnErr[3] = (fCommonHistsResults8th->GetHistIntFlowPOI())->GetBinError(1); + } + + TString title = " flow estimates from Q-cumulants"; + TString subtitle = " ("; + + if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) + { + subtitle.Append(type); + subtitle.Append(", without weights)"); + } else + { + subtitle.Append(type); + subtitle.Append(", with weights)"); + } + + cout<=0.) + { + cout<<" v_"<WriteObject(fHistList, "cobjQC","SingleKey"); + fHistList->Write(fHistList->GetName(), TObject::kSingleKey); + delete output; +} + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::WriteHistograms(TDirectoryFile *outputFileName) +{ + //store the final results in output .root file + fHistList->SetName("cobjQC"); + fHistList->SetOwner(kTRUE); + outputFileName->Add(fHistList); + outputFileName->Write(outputFileName->GetName(), TObject::kSingleKey); +} + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::BookCommonHistograms() +{ + // Book common control histograms and common histograms for final results. // common control histogram (ALL events) - TString commonHistsName = "AliFlowCommonHistQC"; + TString commonHistsName = "AliFlowCommonHistQC"; commonHistsName += fAnalysisLabel->Data(); - fCommonHists = new AliFlowCommonHist(commonHistsName.Data()); - fHistList->Add(fCommonHists); - // common control histogram (for events with 2 and more particles) - TString commonHists2ndOrderName = "AliFlowCommonHist2ndOrderQC"; + fCommonHists = new AliFlowCommonHist(commonHistsName.Data()); + fHistList->Add(fCommonHists); + // common control histogram (for events with 2 and more particles) + TString commonHists2ndOrderName = "AliFlowCommonHist2ndOrderQC"; commonHists2ndOrderName += fAnalysisLabel->Data(); - fCommonHists2nd = new AliFlowCommonHist(commonHists2ndOrderName.Data()); - fHistList->Add(fCommonHists2nd); - // common control histogram (for events with 4 and more particles) - TString commonHists4thOrderName = "AliFlowCommonHist4thOrderQC"; + fCommonHists2nd = new AliFlowCommonHist(commonHists2ndOrderName.Data()); + fHistList->Add(fCommonHists2nd); + // common control histogram (for events with 4 and more particles) + TString commonHists4thOrderName = "AliFlowCommonHist4thOrderQC"; commonHists4thOrderName += fAnalysisLabel->Data(); - fCommonHists4th = new AliFlowCommonHist(commonHists4thOrderName.Data()); - fHistList->Add(fCommonHists4th); - // common control histogram (for events with 6 and more particles) - TString commonHists6thOrderName = "AliFlowCommonHist6thOrderQC"; + fCommonHists4th = new AliFlowCommonHist(commonHists4thOrderName.Data()); + fHistList->Add(fCommonHists4th); + // common control histogram (for events with 6 and more particles) + TString commonHists6thOrderName = "AliFlowCommonHist6thOrderQC"; commonHists6thOrderName += fAnalysisLabel->Data(); - fCommonHists6th = new AliFlowCommonHist(commonHists6thOrderName.Data()); - fHistList->Add(fCommonHists6th); - // common control histogram (for events with 8 and more particles) - TString commonHists8thOrderName = "AliFlowCommonHist8thOrderQC"; + fCommonHists6th = new AliFlowCommonHist(commonHists6thOrderName.Data()); + fHistList->Add(fCommonHists6th); + // common control histogram (for events with 8 and more particles) + TString commonHists8thOrderName = "AliFlowCommonHist8thOrderQC"; commonHists8thOrderName += fAnalysisLabel->Data(); - fCommonHists8th = new AliFlowCommonHist(commonHists8thOrderName.Data()); - fHistList->Add(fCommonHists8th); - // common histograms for final results (calculated for events with 2 and more particles) - TString commonHistResults2ndOrderName = "AliFlowCommonHistResults2ndOrderQC"; + fCommonHists8th = new AliFlowCommonHist(commonHists8thOrderName.Data()); + fHistList->Add(fCommonHists8th); + // common histograms for final results (calculated for events with 2 and more particles) + TString commonHistResults2ndOrderName = "AliFlowCommonHistResults2ndOrderQC"; commonHistResults2ndOrderName += fAnalysisLabel->Data(); - fCommonHistsResults2nd = new AliFlowCommonHistResults(commonHistResults2ndOrderName.Data()); - fHistList->Add(fCommonHistsResults2nd); - // common histograms for final results (calculated for events with 4 and more particles) - TString commonHistResults4thOrderName = "AliFlowCommonHistResults4thOrderQC"; + fCommonHistsResults2nd = new AliFlowCommonHistResults(commonHistResults2ndOrderName.Data()); + fHistList->Add(fCommonHistsResults2nd); + // common histograms for final results (calculated for events with 4 and more particles) + TString commonHistResults4thOrderName = "AliFlowCommonHistResults4thOrderQC"; commonHistResults4thOrderName += fAnalysisLabel->Data(); - fCommonHistsResults4th = new AliFlowCommonHistResults(commonHistResults4thOrderName.Data()); - fHistList->Add(fCommonHistsResults4th); - // common histograms for final results (calculated for events with 6 and more particles) - TString commonHistResults6thOrderName = "AliFlowCommonHistResults6thOrderQC"; + fCommonHistsResults4th = new AliFlowCommonHistResults(commonHistResults4thOrderName.Data()); + fHistList->Add(fCommonHistsResults4th); + // common histograms for final results (calculated for events with 6 and more particles) + TString commonHistResults6thOrderName = "AliFlowCommonHistResults6thOrderQC"; commonHistResults6thOrderName += fAnalysisLabel->Data(); - fCommonHistsResults6th = new AliFlowCommonHistResults(commonHistResults6thOrderName.Data()); + fCommonHistsResults6th = new AliFlowCommonHistResults(commonHistResults6thOrderName.Data()); fHistList->Add(fCommonHistsResults6th); - // common histograms for final results (calculated for events with 8 and more particles) - TString commonHistResults8thOrderName = "AliFlowCommonHistResults8thOrderQC"; + // common histograms for final results (calculated for events with 8 and more particles) + TString commonHistResults8thOrderName = "AliFlowCommonHistResults8thOrderQC"; commonHistResults8thOrderName += fAnalysisLabel->Data(); - fCommonHistsResults8th = new AliFlowCommonHistResults(commonHistResults8thOrderName.Data()); - fHistList->Add(fCommonHistsResults8th); - -} // end of void AliFlowAnalysisWithQCumulants::BookCommonHistograms() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::BookAndFillWeightsHistograms() -{ - // book and fill histograms which hold phi, pt and eta weights - - if(!fWeightsList) - { - cout<<"WARNING: fWeightsList is NULL in AFAWQC::BAFWH() !!!!"<Data(); - fUseParticleWeights = new TProfile(fUseParticleWeightsName.Data(),"0 = particle weight not used, 1 = particle weight used ",3,0,3); - fUseParticleWeights->SetLabelSize(0.06); - (fUseParticleWeights->GetXaxis())->SetBinLabel(1,"w_{#phi}"); - (fUseParticleWeights->GetXaxis())->SetBinLabel(2,"w_{p_{T}}"); - (fUseParticleWeights->GetXaxis())->SetBinLabel(3,"w_{#eta}"); - fUseParticleWeights->Fill(0.5,(Int_t)fUsePhiWeights); - fUseParticleWeights->Fill(1.5,(Int_t)fUsePtWeights); - fUseParticleWeights->Fill(2.5,(Int_t)fUseEtaWeights); - fWeightsList->Add(fUseParticleWeights); - - if(fUsePhiWeights) - { - if(fWeightsList->FindObject("phi_weights")) - { - fPhiWeights = dynamic_cast(fWeightsList->FindObject("phi_weights")); - if(fPhiWeights->GetBinWidth(1) != fPhiBinWidth) - { - cout<<"WARNING: fPhiWeights->GetBinWidth(1) != fPhiBinWidth in AFAWQC::BAFWH() !!!! "<FindObject(\"phi_weights\") is NULL in AFAWQC::BAFWH() !!!!"<FindObject("pt_weights")) - { - fPtWeights = dynamic_cast(fWeightsList->FindObject("pt_weights")); - if(fPtWeights->GetBinWidth(1) != fPtBinWidth) - { - cout<<"WARNING: fPtWeights->GetBinWidth(1) != fPtBinWidth in AFAWQC::BAFWH() !!!! "<FindObject(\"pt_weights\") is NULL in AFAWQC::BAFWH() !!!!"<FindObject("eta_weights")) - { - fEtaWeights = dynamic_cast(fWeightsList->FindObject("eta_weights")); - if(fEtaWeights->GetBinWidth(1) != fEtaBinWidth) - { - cout<<"WARNING: fEtaWeights->GetBinWidth(1) != fEtaBinWidth in AFAWQC::BAFWH() !!!! "<FindObject(\"eta_weights\") is NULL in AFAWQC::BAFWH() !!!!"<Data(); - fIntFlowFlags = new TProfile(intFlowFlagsName.Data(),"Flags for Integrated Flow",3,0,3); - fIntFlowFlags->SetTickLength(-0.01,"Y"); - fIntFlowFlags->SetMarkerStyle(25); - fIntFlowFlags->SetLabelSize(0.05); - fIntFlowFlags->SetLabelOffset(0.02,"Y"); - (fIntFlowFlags->GetXaxis())->SetBinLabel(1,"Particle Weights"); - (fIntFlowFlags->GetXaxis())->SetBinLabel(2,"Event Weights"); - (fIntFlowFlags->GetXaxis())->SetBinLabel(3,"Corrected for NUA?"); - fIntFlowList->Add(fIntFlowFlags); - - // b) Book event-by-event quantities: - // Re[Q_{m*n,k}], Im[Q_{m*n,k}] and S_{p,k}^M: - fReQ = new TMatrixD(4,9); - fImQ = new TMatrixD(4,9); - fSMpk = new TMatrixD(8,9); - // average correlations <2>, <4>, <6> and <8> for single event (bining is the same as in fIntFlowCorrelationsPro and fIntFlowCorrelationsHist): - TString intFlowCorrelationsEBEName = "fIntFlowCorrelationsEBE"; - intFlowCorrelationsEBEName += fAnalysisLabel->Data(); - fIntFlowCorrelationsEBE = new TH1D(intFlowCorrelationsEBEName.Data(),intFlowCorrelationsEBEName.Data(),4,0,4); - // average all correlations for single event (bining is the same as in fIntFlowCorrelationsAllPro and fIntFlowCorrelationsAllHist): - TString intFlowCorrelationsAllEBEName = "fIntFlowCorrelationsAllEBE"; - intFlowCorrelationsAllEBEName += fAnalysisLabel->Data(); - fIntFlowCorrelationsAllEBE = new TH1D(intFlowCorrelationsAllEBEName.Data(),intFlowCorrelationsAllEBEName.Data(),32,0,32); - // average correction terms for non-uniform acceptance for single event - // (binning is the same as in fIntFlowCorrectionTermsForNUAPro[2] and fIntFlowCorrectionTermsForNUAHist[2]): - TString fIntFlowCorrectionTermsForNUAEBEName = "fIntFlowCorrectionTermsForNUAEBE"; - fIntFlowCorrectionTermsForNUAEBEName += fAnalysisLabel->Data(); - for(Int_t sc=0;sc<2;sc++) // sin or cos terms - { - fIntFlowCorrectionTermsForNUAEBE[sc] = new TH1D(Form("%s: %s terms",fIntFlowCorrectionTermsForNUAEBEName.Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10); - } - - // c) Book profiles: // to be improved (comment) - // profile to hold average multiplicities and number of events for events with nRP>=0, nRP>=1, ... , and nRP>=8: - TString avMultiplicityName = "fAvMultiplicity"; - avMultiplicityName += fAnalysisLabel->Data(); - fAvMultiplicity = new TProfile(avMultiplicityName.Data(),"Average Multiplicities of RPs",9,0,9); - fAvMultiplicity->SetTickLength(-0.01,"Y"); - fAvMultiplicity->SetMarkerStyle(25); - fAvMultiplicity->SetLabelSize(0.05); - fAvMultiplicity->SetLabelOffset(0.02,"Y"); - fAvMultiplicity->SetYTitle("Average Multiplicity"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(1,"all evts"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(2,"n_{RP} #geq 1"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(3,"n_{RP} #geq 2"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(4,"n_{RP} #geq 3"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(5,"n_{RP} #geq 4"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(6,"n_{RP} #geq 5"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(7,"n_{RP} #geq 6"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(8,"n_{RP} #geq 7"); - (fAvMultiplicity->GetXaxis())->SetBinLabel(9,"n_{RP} #geq 8"); - fIntFlowProfiles->Add(fAvMultiplicity); - // average correlations <<2>>, <<4>>, <<6>> and <<8>> for all events (with wrong errors!): - TString intFlowCorrelationsProName = "fIntFlowCorrelationsPro"; - intFlowCorrelationsProName += fAnalysisLabel->Data(); - fIntFlowCorrelationsPro = new TProfile(intFlowCorrelationsProName.Data(),"Average correlations for all events",4,0,4,"s"); - fIntFlowCorrelationsPro->SetTickLength(-0.01,"Y"); - fIntFlowCorrelationsPro->SetMarkerStyle(25); - fIntFlowCorrelationsPro->SetLabelSize(0.06); - fIntFlowCorrelationsPro->SetLabelOffset(0.01,"Y"); - (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(1,"<<2>>"); - (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(2,"<<4>>"); - (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(3,"<<6>>"); - (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(4,"<<8>>"); - fIntFlowProfiles->Add(fIntFlowCorrelationsPro); - // average all correlations for all events (with wrong errors!): - TString intFlowCorrelationsAllProName = "fIntFlowCorrelationsAllPro"; - intFlowCorrelationsAllProName += fAnalysisLabel->Data(); - fIntFlowCorrelationsAllPro = new TProfile(intFlowCorrelationsAllProName.Data(),"Average correlations for all events",32,0,32,"s"); - fIntFlowCorrelationsAllPro->SetTickLength(-0.01,"Y"); - fIntFlowCorrelationsAllPro->SetMarkerStyle(25); - fIntFlowCorrelationsAllPro->SetLabelSize(0.03); - fIntFlowCorrelationsAllPro->SetLabelOffset(0.01,"Y"); - // 2-p correlations: - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}"); - // 3-p correlations: - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}"); - // 4-p correlations: - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(13,"<<4>>_{2n,2n|2n,2n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(14,"<<4>>_{3n|n,n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|3n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(16,"<<4>>_{3n,n|2n,2n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(17,"<<4>>_{4n|2n,n,n}"); - // 5-p correlations: - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(19,"<<5>>_{2n|n,n,n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(20,"<<5>>_{2n,2n|2n,n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(21,"<<5>>_{3n,n|2n,n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(22,"<<5>>_{4n|n,n,n,n}"); - // 6-p correlations: - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(24,"<<6>>_{n,n,n|n,n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(25,"<<6>>_{2n,n,n|2n,n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(26,"<<6>>_{2n,2n|n,n,n,n}"); - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(27,"<<6>>_{3n,n|n,n,n,n}"); - // 7-p correlations: - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(29,"<<7>>_{2n,n,n|n,n,n,n}"); - // 8-p correlations: - (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(31,"<<8>>_{n,n,n,n|n,n,n,n}"); - fIntFlowProfiles->Add(fIntFlowCorrelationsAllPro); - // average product of correlations <2>, <4>, <6> and <8>: - TString intFlowProductOfCorrelationsProName = "fIntFlowProductOfCorrelationsPro"; - intFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); - fIntFlowProductOfCorrelationsPro = new TProfile(intFlowProductOfCorrelationsProName.Data(),"Average products of correlations",6,0,6); - fIntFlowProductOfCorrelationsPro->SetTickLength(-0.01,"Y"); - fIntFlowProductOfCorrelationsPro->SetMarkerStyle(25); - fIntFlowProductOfCorrelationsPro->SetLabelSize(0.05); - fIntFlowProductOfCorrelationsPro->SetLabelOffset(0.01,"Y"); - (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(1,"<<2><4>>"); - (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(2,"<<2><6>>"); - (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(3,"<<2><8>>"); - (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(4,"<<4><6>>"); - (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(5,"<<4><8>>"); - (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(6,"<<6><8>>"); - fIntFlowProfiles->Add(fIntFlowProductOfCorrelationsPro); - // average correction terms for non-uniform acceptance (with wrong errors!): - for(Int_t sc=0;sc<2;sc++) // sin or cos terms - { - TString intFlowCorrectionTermsForNUAProName = "fIntFlowCorrectionTermsForNUAPro"; - intFlowCorrectionTermsForNUAProName += fAnalysisLabel->Data(); - fIntFlowCorrectionTermsForNUAPro[sc] = new TProfile(Form("%s: %s terms",intFlowCorrectionTermsForNUAProName.Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10,"s"); - fIntFlowCorrectionTermsForNUAPro[sc]->SetTickLength(-0.01,"Y"); - fIntFlowCorrectionTermsForNUAPro[sc]->SetMarkerStyle(25); - fIntFlowCorrectionTermsForNUAPro[sc]->SetLabelSize(0.03); - fIntFlowCorrectionTermsForNUAPro[sc]->SetLabelOffset(0.01,"Y"); - // ......................................................................... - // 1-p terms: - (fIntFlowCorrectionTermsForNUAPro[sc]->GetXaxis())->SetBinLabel(1,Form("%s(n(#phi_{1}))>",sinCosFlag[sc].Data())); - // 2-p terms: - // 3-p terms: - // ... - // ......................................................................... - fIntFlowProfiles->Add(fIntFlowCorrectionTermsForNUAPro[sc]); - } // end of for(Int_t sc=0;sc<2;sc++) - - // d) Book histograms holding the final results: - // average correlations <<2>>, <<4>>, <<6>> and <<8>> for all events (with correct errors!): - TString intFlowCorrelationsHistName = "fIntFlowCorrelationsHist"; - intFlowCorrelationsHistName += fAnalysisLabel->Data(); - fIntFlowCorrelationsHist = new TH1D(intFlowCorrelationsHistName.Data(),"Average correlations for all events",4,0,4); - fIntFlowCorrelationsHist->SetTickLength(-0.01,"Y"); - fIntFlowCorrelationsHist->SetMarkerStyle(25); - fIntFlowCorrelationsHist->SetLabelSize(0.06); - fIntFlowCorrelationsHist->SetLabelOffset(0.01,"Y"); - (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(1,"<<2>>"); - (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(2,"<<4>>"); - (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(3,"<<6>>"); - (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(4,"<<8>>"); - fIntFlowResults->Add(fIntFlowCorrelationsHist); - // average all correlations for all events (with correct errors!): - TString intFlowCorrelationsAllHistName = "fIntFlowCorrelationsAllHist"; - intFlowCorrelationsAllHistName += fAnalysisLabel->Data(); - fIntFlowCorrelationsAllHist = new TH1D(intFlowCorrelationsAllHistName.Data(),"Average correlations for all events",32,0,32); - fIntFlowCorrelationsAllHist->SetTickLength(-0.01,"Y"); - fIntFlowCorrelationsAllHist->SetMarkerStyle(25); - fIntFlowCorrelationsAllHist->SetLabelSize(0.03); - fIntFlowCorrelationsAllHist->SetLabelOffset(0.01,"Y"); - // 2-p correlations: - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}"); - // 3-p correlations: - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}"); - // 4-p correlations: - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(13,"<<4>>_{2n,2n|2n,2n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(14,"<<4>>_{3n|n,n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|3n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(16,"<<4>>_{3n,n|2n,2n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(17,"<<4>>_{4n|2n,n,n}"); - // 5-p correlations: - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(19,"<<5>>_{2n|n,n,n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(20,"<<5>>_{2n,2n|2n,n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(21,"<<5>>_{3n,n|2n,n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(22,"<<5>>_{4n|n,n,n,n}"); - // 6-p correlations: - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(24,"<<6>>_{n,n,n|n,n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(25,"<<6>>_{2n,n,n|2n,n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(26,"<<6>>_{2n,2n|n,n,n,n}"); - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(27,"<<6>>_{3n,n|n,n,n,n}"); - // 7-p correlations: - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(29,"<<7>>_{2n,n,n|n,n,n,n}"); - // 8-p correlations: - (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(31,"<<8>>_{n,n,n,n|n,n,n,n}"); - fIntFlowResults->Add(fIntFlowCorrelationsAllHist); - // average correction terms for non-uniform acceptance (with correct errors!): - for(Int_t sc=0;sc<2;sc++) // sin or cos terms - { - TString intFlowCorrectionTermsForNUAHistName = "fIntFlowCorrectionTermsForNUAHist"; - intFlowCorrectionTermsForNUAHistName += fAnalysisLabel->Data(); - fIntFlowCorrectionTermsForNUAHist[sc] = new TH1D(Form("%s: %s terms",intFlowCorrectionTermsForNUAHistName.Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10); - fIntFlowCorrectionTermsForNUAHist[sc]->SetTickLength(-0.01,"Y"); - fIntFlowCorrectionTermsForNUAHist[sc]->SetMarkerStyle(25); - fIntFlowCorrectionTermsForNUAHist[sc]->SetLabelSize(0.03); - fIntFlowCorrectionTermsForNUAHist[sc]->SetLabelOffset(0.01,"Y"); - // ......................................................................... - // 1-p terms: - (fIntFlowCorrectionTermsForNUAHist[sc]->GetXaxis())->SetBinLabel(1,Form("%s(n(#phi_{1}))>",sinCosFlag[sc].Data())); - // 2-p terms: - // 3-p terms: - // ... - // ......................................................................... - fIntFlowResults->Add(fIntFlowCorrectionTermsForNUAHist[sc]); - } // end of for(Int_t sc=0;sc<2;sc++) - // covariances (multiplied with weight dependent prefactor): - TString intFlowCovariancesName = "fIntFlowCovariances"; - intFlowCovariancesName += fAnalysisLabel->Data(); - fIntFlowCovariances = new TH1D(intFlowCovariancesName.Data(),"Covariances (multiplied with weight dependent prefactor)",6,0,6); - fIntFlowCovariances->SetLabelSize(0.04); - fIntFlowCovariances->SetMarkerStyle(25); - (fIntFlowCovariances->GetXaxis())->SetBinLabel(1,"Cov(<2>,<4>)"); - (fIntFlowCovariances->GetXaxis())->SetBinLabel(2,"Cov(<2>,<6>)"); - (fIntFlowCovariances->GetXaxis())->SetBinLabel(3,"Cov(<2>,<8>)"); - (fIntFlowCovariances->GetXaxis())->SetBinLabel(4,"Cov(<4>,<6>)"); - (fIntFlowCovariances->GetXaxis())->SetBinLabel(5,"Cov(<4>,<8>)"); - (fIntFlowCovariances->GetXaxis())->SetBinLabel(6,"Cov(<6>,<8>)"); - fIntFlowResults->Add(fIntFlowCovariances); - // sum of linear and quadratic event weights for <2>, <4>, <6> and <8>: - TString intFlowSumOfEventWeightsName = "fIntFlowSumOfEventWeights"; - intFlowSumOfEventWeightsName += fAnalysisLabel->Data(); - for(Int_t power=0;power<2;power++) - { - fIntFlowSumOfEventWeights[power] = new TH1D(Form("%s: %s",intFlowSumOfEventWeightsName.Data(),powerFlag[power].Data()),Form("Sum of %s event weights for correlations",powerFlag[power].Data()),4,0,4); - fIntFlowSumOfEventWeights[power]->SetLabelSize(0.05); - fIntFlowSumOfEventWeights[power]->SetMarkerStyle(25); - if(power == 0) - { - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>}"); - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<4>}"); - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<6>}"); - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<8>}"); - } else if (power == 1) - { - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>}^{2}"); - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<4>}^{2}"); - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<6>}^{2}"); - (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<8>}^{2}"); - } - fIntFlowResults->Add(fIntFlowSumOfEventWeights[power]); - } - // sum of products of event weights for correlations <2>, <4>, <6> and <8>: - TString intFlowSumOfProductOfEventWeightsName = "fIntFlowSumOfProductOfEventWeights"; - intFlowSumOfProductOfEventWeightsName += fAnalysisLabel->Data(); - fIntFlowSumOfProductOfEventWeights = new TH1D(intFlowSumOfProductOfEventWeightsName.Data(),"Sum of product of event weights for correlations",6,0,6); - fIntFlowSumOfProductOfEventWeights->SetLabelSize(0.05); - fIntFlowSumOfProductOfEventWeights->SetMarkerStyle(25); - (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>} w_{<4>}"); - (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<2>} w_{<6>}"); - (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<2>} w_{<8>}"); - (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<4>} w_{<6>}"); - (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(5,"#sum_{i=1}^{N} w_{<4>} w_{<8>}"); - (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(6,"#sum_{i=1}^{N} w_{<6>} w_{<8>}"); - fIntFlowResults->Add(fIntFlowSumOfProductOfEventWeights); - // final results for integrated Q-cumulants: - TString intFlowQcumulantsName = "fIntFlowQcumulants"; - intFlowQcumulantsName += fAnalysisLabel->Data(); - fIntFlowQcumulants = new TH1D(intFlowQcumulantsName.Data(),"Integrated Q-cumulants",4,0,4); - fIntFlowQcumulants->SetLabelSize(0.05); - fIntFlowQcumulants->SetMarkerStyle(25); - (fIntFlowQcumulants->GetXaxis())->SetBinLabel(1,"QC{2}"); - (fIntFlowQcumulants->GetXaxis())->SetBinLabel(2,"QC{4}"); - (fIntFlowQcumulants->GetXaxis())->SetBinLabel(3,"QC{6}"); - (fIntFlowQcumulants->GetXaxis())->SetBinLabel(4,"QC{8}"); - fIntFlowResults->Add(fIntFlowQcumulants); - // final integrated flow estimates from Q-cumulants: - TString intFlowName = "fIntFlow"; - intFlowName += fAnalysisLabel->Data(); - // integrated flow from Q-cumulants: - fIntFlow = new TH1D(intFlowName.Data(),"Integrated flow estimates from Q-cumulants",4,0,4); - fIntFlow->SetLabelSize(0.05); - fIntFlow->SetMarkerStyle(25); - (fIntFlow->GetXaxis())->SetBinLabel(1,"v_{2}{2,QC}"); - (fIntFlow->GetXaxis())->SetBinLabel(2,"v_{2}{4,QC}"); - (fIntFlow->GetXaxis())->SetBinLabel(3,"v_{2}{6,QC}"); - (fIntFlow->GetXaxis())->SetBinLabel(4,"v_{2}{8,QC}"); - fIntFlowResults->Add(fIntFlow); - - /* // to be improved (removed): - // final average weighted multi-particle correlations for all events calculated from Q-vectors - fQCorrelations[1] = new TProfile("Weighted correlations","final average multi-particle correlations from weighted Q-vectors",200,0,200,"s"); - fQCorrelations[1]->SetTickLength(-0.01,"Y"); - fQCorrelations[1]->SetMarkerStyle(25); - fQCorrelations[1]->SetLabelSize(0.03); - fQCorrelations[1]->SetLabelOffset(0.01,"Y"); - // 2-particle correlations: - (fQCorrelations[1]->GetXaxis())->SetBinLabel(1,""); - (fQCorrelations[1]->GetXaxis())->SetBinLabel(2,""); - (fQCorrelations[1]->GetXaxis())->SetBinLabel(3,""); - (fQCorrelations[1]->GetXaxis())->SetBinLabel(4,""); - (fQCorrelations[1]->GetXaxis())->SetBinLabel(5,""); - (fQCorrelations[1]->GetXaxis())->SetBinLabel(6,""); - // 3-particle correlations: - (fQCorrelations[1]->GetXaxis())->SetBinLabel(21,""); - // 4-particle correlations: - (fQCorrelations[1]->GetXaxis())->SetBinLabel(41,""); - // add fQCorrelations[1] to the list fIntFlowList: - fIntFlowList->Add(fQCorrelations[1]); - */ - -} // end of AliFlowAnalysisWithQCumulants::BookEverythingForIntegratedFlow() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::BookEverythingForNestedLoops() -{ - // Book all objects relevant for calculations with nested loops. - - // to be improved: hardwired names for some objects here - - TString evaluateNestedLoopsName = "fEvaluateNestedLoops"; - evaluateNestedLoopsName += fAnalysisLabel->Data(); - fEvaluateNestedLoops = new TProfile(evaluateNestedLoopsName.Data(),"1 = evaluate, 0 = do not evaluate",2,0,2); - fEvaluateNestedLoops->SetLabelSize(0.05); - (fEvaluateNestedLoops->GetXaxis())->SetBinLabel(1,"Nested Loops (Int. Flow)"); - (fEvaluateNestedLoops->GetXaxis())->SetBinLabel(2,"Nested Loops (Diff. Flow)"); - fEvaluateNestedLoops->Fill(0.5,(Int_t)fEvaluateNestedLoopsForIntFlow); - fEvaluateNestedLoops->Fill(1.5,(Int_t)fEvaluateNestedLoopsForDiffFlow); - fNestedLoopsList->Add(fEvaluateNestedLoops); - // nested loops for integrated flow: - if(fEvaluateNestedLoopsForIntFlow) - { - fDirectCorrelations = new TProfile("fDirectCorrelations","multi-particle correlations with nested loops",100,0,100,"s"); - fNestedLoopsList->Add(fDirectCorrelations); - fDirectCorrectionsCos = new TProfile("fDirectCorrectionsCos"," corrections for non-uniform acceptance (cos terms)",100,0,100,"s"); - fNestedLoopsList->Add(fDirectCorrectionsCos); - fDirectCorrectionsSin = new TProfile("fDirectCorrectionsSin"," corrections for non-uniform acceptance (sin terms)",100,0,100,"s"); - fNestedLoopsList->Add(fDirectCorrectionsSin); - if(fUsePhiWeights) // Remark: cross-checking performed only with phi-weights (this is sufficient) - { - fDirectCorrelationsW = new TProfile("fDirectCorrelationsW","multi-particle correlations with nested loops",200,0,200,"s"); - fNestedLoopsList->Add(fDirectCorrelationsW); - fDirectCorrectionsCosW = new TProfile("fDirectCorrectionsCosW"," corrections for non-uniform acceptance (cos terms)",100,0,100,"s"); - fNestedLoopsList->Add(fDirectCorrectionsCosW); - fDirectCorrectionsSinW = new TProfile("fDirectCorrectionsSinW"," corrections for non-uniform acceptance (sin terms)",100,0,100,"s"); - fNestedLoopsList->Add(fDirectCorrectionsSinW); - } - } - // nested loops for differential flow: - if(fEvaluateNestedLoopsForDiffFlow) - { - fDirectCorrelationsDiffFlow = new TProfile("fDirectCorrelationsDiffFlow","multi-particle correlations with nested loops",200,0,200,"s"); - fNestedLoopsList->Add(fDirectCorrelationsDiffFlow); - fDirectCorrectionsDiffFlowCos = new TProfile("fDirectCorrectionsDiffFlowCos", - "corrections for non-uniform acceptance (cos terms) with nested loops",200,0,200,"s"); - fNestedLoopsList->Add(fDirectCorrectionsDiffFlowCos); - fDirectCorrectionsDiffFlowSin = new TProfile("fDirectCorrectionsDiffFlowSin", - "corrections for non-uniform acceptance (sin terms) with nested loops",200,0,200,"s"); - fNestedLoopsList->Add(fDirectCorrectionsDiffFlowSin); - if(fUsePhiWeights) // Remark: cross-checking performed only with phi-weights (this is sufficient) - { - fDirectCorrelationsDiffFlowW = new TProfile("fDirectCorrelationsDiffFlowW","multi-particle correlations with nested loops",200,0,200,"s"); - fNestedLoopsList->Add(fDirectCorrelationsDiffFlowW); - fDirectCorrectionsDiffFlowCosW = new TProfile("fDirectCorrectionsDiffFlowCosW", - "corrections for non-uniform acceptance (cos terms) with nested loops",200,0,200,"s"); - fNestedLoopsList->Add(fDirectCorrectionsDiffFlowCosW); - fDirectCorrectionsDiffFlowSinW = new TProfile("fDirectCorrectionsDiffFlowSinW", - "corrections for non-uniform acceptance (sin terms) with nested loops",200,0,200,"s"); - fNestedLoopsList->Add(fDirectCorrectionsDiffFlowSinW); - } - } - -} // end of AliFlowAnalysisWithQCumulants::BookEverythingForNestedLoops() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrelations() -{ - // calculate all correlations needed for integrated flow - - // multiplicity: - Double_t dMult = (*fSMpk)(0,0); - - // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - Double_t dReQ1n = (*fReQ)(0,0); - Double_t dReQ2n = (*fReQ)(1,0); - Double_t dReQ3n = (*fReQ)(2,0); - Double_t dReQ4n = (*fReQ)(3,0); - Double_t dImQ1n = (*fImQ)(0,0); - Double_t dImQ2n = (*fImQ)(1,0); - Double_t dImQ3n = (*fImQ)(2,0); - Double_t dImQ4n = (*fImQ)(3,0); - - // real and imaginary parts of some expressions involving various combinations of Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - // (these expression appear in the Eqs. for the multi-particle correlations bellow) - - // Re[Q_{2n} Q_{n}^* Q_{n}^*] - Double_t reQ2nQ1nstarQ1nstar = pow(dReQ1n,2.)*dReQ2n + 2.*dReQ1n*dImQ1n*dImQ2n - pow(dImQ1n,2.)*dReQ2n; - - // Im[Q_{2n} Q_{n}^* Q_{n}^*] - //Double_t imQ2nQ1nstarQ1nstar = pow(dReQ1n,2.)*dImQ2n-2.*dReQ1n*dImQ1n*dReQ2n-pow(dImQ1n,2.)*dImQ2n; - - // Re[Q_{n} Q_{n} Q_{2n}^*] = Re[Q_{2n} Q_{n}^* Q_{n}^*] - Double_t reQ1nQ1nQ2nstar = reQ2nQ1nstarQ1nstar; - - // Re[Q_{3n} Q_{n} Q_{2n}^* Q_{2n}^*] - Double_t reQ3nQ1nQ2nstarQ2nstar = (pow(dReQ2n,2.)-pow(dImQ2n,2.))*(dReQ3n*dReQ1n-dImQ3n*dImQ1n) - + 2.*dReQ2n*dImQ2n*(dReQ3n*dImQ1n+dImQ3n*dReQ1n); - - // Im[Q_{3n} Q_{n} Q_{2n}^* Q_{2n}^*] - //Double_t imQ3nQ1nQ2nstarQ2nstar = calculate and implement this (deleteMe) - - // Re[Q_{2n} Q_{2n} Q_{3n}^* Q_{1n}^*] = Re[Q_{3n} Q_{n} Q_{2n}^* Q_{2n}^*] - Double_t reQ2nQ2nQ3nstarQ1nstar = reQ3nQ1nQ2nstarQ2nstar; - - // Re[Q_{4n} Q_{2n}^* Q_{2n}^*] - Double_t reQ4nQ2nstarQ2nstar = pow(dReQ2n,2.)*dReQ4n+2.*dReQ2n*dImQ2n*dImQ4n-pow(dImQ2n,2.)*dReQ4n; - - // Im[Q_{4n} Q_{2n}^* Q_{2n}^*] - //Double_t imQ4nQ2nstarQ2nstar = calculate and implement this (deleteMe) - - // Re[Q_{2n} Q_{2n} Q_{4n}^*] = Re[Q_{4n} Q_{2n}^* Q_{2n}^*] - Double_t reQ2nQ2nQ4nstar = reQ4nQ2nstarQ2nstar; - - // Re[Q_{4n} Q_{3n}^* Q_{n}^*] - Double_t reQ4nQ3nstarQ1nstar = dReQ4n*(dReQ3n*dReQ1n-dImQ3n*dImQ1n)+dImQ4n*(dReQ3n*dImQ1n+dImQ3n*dReQ1n); - - // Re[Q_{3n} Q_{n} Q_{4n}^*] = Re[Q_{4n} Q_{3n}^* Q_{n}^*] - Double_t reQ3nQ1nQ4nstar = reQ4nQ3nstarQ1nstar; - - // Im[Q_{4n} Q_{3n}^* Q_{n}^*] - //Double_t imQ4nQ3nstarQ1nstar = calculate and implement this (deleteMe) - - // Re[Q_{3n} Q_{2n}^* Q_{n}^*] - Double_t reQ3nQ2nstarQ1nstar = dReQ3n*dReQ2n*dReQ1n-dReQ3n*dImQ2n*dImQ1n+dImQ3n*dReQ2n*dImQ1n - + dImQ3n*dImQ2n*dReQ1n; - - // Re[Q_{2n} Q_{n} Q_{3n}^*] = Re[Q_{3n} Q_{2n}^* Q_{n}^*] - Double_t reQ2nQ1nQ3nstar = reQ3nQ2nstarQ1nstar; - - // Im[Q_{3n} Q_{2n}^* Q_{n}^*] - //Double_t imQ3nQ2nstarQ1nstar; //calculate and implement this (deleteMe) - - // Re[Q_{3n} Q_{n}^* Q_{n}^* Q_{n}^*] - Double_t reQ3nQ1nstarQ1nstarQ1nstar = dReQ3n*pow(dReQ1n,3)-3.*dReQ1n*dReQ3n*pow(dImQ1n,2) - + 3.*dImQ1n*dImQ3n*pow(dReQ1n,2)-dImQ3n*pow(dImQ1n,3); - - // Im[Q_{3n} Q_{n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ3nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe) - - // |Q_{2n}|^2 |Q_{n}|^2 - Double_t dQ2nQ1nQ2nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.)); - - // Re[Q_{4n} Q_{2n}^* Q_{n}^* Q_{n}^*] - Double_t reQ4nQ2nstarQ1nstarQ1nstar = (dReQ4n*dReQ2n+dImQ4n*dImQ2n)*(pow(dReQ1n,2)-pow(dImQ1n,2)) - + 2.*dReQ1n*dImQ1n*(dImQ4n*dReQ2n-dReQ4n*dImQ2n); - - // Im[Q_{4n} Q_{2n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ4nQ2nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe) - - // Re[Q_{2n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^*] - Double_t reQ2nQ1nQ1nstarQ1nstarQ1nstar = (dReQ2n*dReQ1n-dImQ2n*dImQ1n)*(pow(dReQ1n,3)-3.*dReQ1n*pow(dImQ1n,2)) - + (dReQ2n*dImQ1n+dReQ1n*dImQ2n)*(3.*dImQ1n*pow(dReQ1n,2)-pow(dImQ1n,3)); - - // Im[Q_{2n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ2nQ1nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe) - - // Re[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*] - Double_t reQ2nQ2nQ2nstarQ1nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.)) - * (dReQ2n*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) + 2.*dImQ2n*dReQ1n*dImQ1n); - - // Im[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ2nQ2nQ2nstarQ1nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.)) - // * (dImQ2n*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) - 2.*dReQ2n*dReQ1n*dImQ1n); - - // Re[Q_{4n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - Double_t reQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(dReQ1n,4.)*dReQ4n-6.*pow(dReQ1n,2.)*dReQ4n*pow(dImQ1n,2.) - + pow(dImQ1n,4.)*dReQ4n+4.*pow(dReQ1n,3.)*dImQ1n*dImQ4n - - 4.*pow(dImQ1n,3.)*dReQ1n*dImQ4n; - - // Im[Q_{4n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(dReQ1n,4.)*dImQ4n-6.*pow(dReQ1n,2.)*dImQ4n*pow(dImQ1n,2.) - // + pow(dImQ1n,4.)*dImQ4n+4.*pow(dImQ1n,3.)*dReQ1n*dReQ4n - // - 4.*pow(dReQ1n,3.)*dImQ1n*dReQ4n; - - // Re[Q_{3n} Q_{n} Q_{2n}^* Q_{n}^* Q_{n}^*] - Double_t reQ3nQ1nQ2nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) - * (dReQ1n*dReQ2n*dReQ3n-dReQ3n*dImQ1n*dImQ2n+dReQ2n*dImQ1n*dImQ3n+dReQ1n*dImQ2n*dImQ3n); - - // Im[Q_{3n} Q_{n} Q_{2n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ3nQ1nQ2nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) - // * (-dReQ2n*dReQ3n*dImQ1n-dReQ1n*dReQ3n*dImQ2n+dReQ1n*dReQ2n*dImQ3n-dImQ1n*dImQ2n*dImQ3n); - - - // Re[Q_{2n} Q_{2n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - Double_t reQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)*dReQ2n-2.*dReQ1n*dReQ2n*dImQ1n-dReQ2n*pow(dImQ1n,2.) - + dImQ2n*pow(dReQ1n,2.)+2.*dReQ1n*dImQ1n*dImQ2n-pow(dImQ1n,2.)*dImQ2n) - * (pow(dReQ1n,2.)*dReQ2n+2.*dReQ1n*dReQ2n*dImQ1n-dReQ2n*pow(dImQ1n,2.) - - dImQ2n*pow(dReQ1n,2.)+2.*dReQ1n*dImQ1n*dImQ2n+pow(dImQ1n,2.)*dImQ2n); - - // Im[Q_{2n} Q_{2n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar = 2.*(pow(dReQ1n,2.)*dReQ2n-dReQ2n*pow(dImQ1n,2.) - // + 2.*dReQ1n*dImQ1n*dImQ2n)*(pow(dReQ1n,2.)*dImQ2n - // - 2.*dReQ1n*dImQ1n*dReQ2n-pow(dImQ1n,2.)*dImQ2n); - - // Re[Q_{3n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - Double_t reQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) - * (pow(dReQ1n,3.)*dReQ3n-3.*dReQ1n*dReQ3n*pow(dImQ1n,2.) - + 3.*pow(dReQ1n,2.)*dImQ1n*dImQ3n-pow(dImQ1n,3.)*dImQ3n); - - // Im[Q_{3n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) - // * (pow(dImQ1n,3.)*dReQ3n-3.*dImQ1n*dReQ3n*pow(dReQ1n,2.) - // - 3.*pow(dImQ1n,2.)*dReQ1n*dImQ3n+pow(dReQ1n,3.)*dImQ3n); - - // |Q_{2n}|^2 |Q_{n}|^4 - Double_t dQ2nQ1nQ1nQ2nstarQ1nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.))*pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.); - - // Re[Q_{2n} Q_{n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - Double_t reQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) - * (pow(dReQ1n,2.)*dReQ2n-dReQ2n*pow(dImQ1n,2.) - + 2.*dReQ1n*dImQ1n*dImQ2n); - - // Im[Q_{2n} Q_{n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] - //Double_t imQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) - // * (pow(dReQ1n,2.)*dImQ2n-dImQ2n*pow(dImQ1n,2.) - // - 2.*dReQ1n*dReQ2n*dImQ1n); - - - - - // ************************************** - // **** multi-particle correlations: **** - // ************************************** - // - // Remark 1: multi-particle correlations calculated with non-weighted Q-vectors are stored in 1D profile fQCorrelations[0]. - // Remark 2: binning of fQCorrelations[0] is organized as follows: - // -------------------------------------------------------------------------------------------------------------------- - // 1st bin: <2>_{1n|1n} = two1n1n = cos(n*(phi1-phi2))> - // 2nd bin: <2>_{2n|2n} = two2n2n = cos(2n*(phi1-phi2))> - // 3rd bin: <2>_{3n|3n} = two3n3n = cos(3n*(phi1-phi2))> - // 4th bin: <2>_{4n|4n} = two4n4n = cos(4n*(phi1-phi2))> - // 5th bin: ---- EMPTY ---- - // 6th bin: <3>_{2n|1n,1n} = three2n1n1n = - // 7th bin: <3>_{3n|2n,1n} = three3n2n1n = - // 8th bin: <3>_{4n|2n,2n} = three4n2n2n = - // 9th bin: <3>_{4n|3n,1n} = three4n3n1n = - // 10th bin: ---- EMPTY ---- - // 11th bin: <4>_{1n,1n|1n,1n} = four1n1n1n1n = - // 12th bin: <4>_{2n,1n|2n,1n} = four2n1n2n1n = - // 13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n = - // 14th bin: <4>_{3n|1n,1n,1n} = four3n1n1n1n = - // 15th bin: <4>_{3n,1n|3n,1n} = four3n1n3n1n = - // 16th bin: <4>_{3n,1n|2n,2n} = four3n1n2n2n = - // 17th bin: <4>_{4n|2n,1n,1n} = four4n2n1n1n = - // 18th bin: ---- EMPTY ---- - // 19th bin: <5>_{2n|1n,1n,1n,1n} = five2n1n1n1n1n = - // 20th bin: <5>_{2n,2n|2n,1n,1n} = five2n2n2n1n1n = - // 21st bin: <5>_{3n,1n|2n,1n,1n} = five3n1n2n1n1n = - // 22nd bin: <5>_{4n|1n,1n,1n,1n} = five4n1n1n1n1n = - // 23rd bin: ---- EMPTY ---- - // 24th bin: <6>_{1n,1n,1n|1n,1n,1n} = six1n1n1n1n1n1n = - // 25th bin: <6>_{2n,1n,1n|2n,1n,1n} = six2n1n1n2n1n1n = - // 26th bin: <6>_{2n,2n|1n,1n,1n,1n} = six2n2n1n1n1n1n = - // 27th bin: <6>_{3n,1n|1n,1n,1n,1n} = six3n1n1n1n1n1n = - // 28th bin: ---- EMPTY ---- - // 29th bin: <7>_{2n,1n,1n|1n,1n,1n,1n} = seven2n1n1n1n1n1n1n = - // 30th bin: ---- EMPTY ---- - // 31st bin: <8>_{1n,1n,1n,1n|1n,1n,1n,1n} = eight1n1n1n1n1n1n1n1n = - // -------------------------------------------------------------------------------------------------------------------- - - // 2-particle: - Double_t two1n1n = 0.; // - Double_t two2n2n = 0.; // - Double_t two3n3n = 0.; // - Double_t two4n4n = 0.; // - - if(dMult>1) - { - two1n1n = (pow(dReQ1n,2.)+pow(dImQ1n,2.)-dMult)/(dMult*(dMult-1.)); - two2n2n = (pow(dReQ2n,2.)+pow(dImQ2n,2.)-dMult)/(dMult*(dMult-1.)); - two3n3n = (pow(dReQ3n,2.)+pow(dImQ3n,2.)-dMult)/(dMult*(dMult-1.)); - two4n4n = (pow(dReQ4n,2.)+pow(dImQ4n,2.)-dMult)/(dMult*(dMult-1.)); - - // average 2-particle correlations for single event: - fIntFlowCorrelationsAllEBE->SetBinContent(1,two1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(2,two2n2n); - fIntFlowCorrelationsAllEBE->SetBinContent(3,two3n3n); - fIntFlowCorrelationsAllEBE->SetBinContent(4,two4n4n); - - // average 2-particle correlations for all events: - fIntFlowCorrelationsAllPro->Fill(0.5,two1n1n,dMult*(dMult-1.)); - fIntFlowCorrelationsAllPro->Fill(1.5,two2n2n,dMult*(dMult-1.)); - fIntFlowCorrelationsAllPro->Fill(2.5,two3n3n,dMult*(dMult-1.)); - fIntFlowCorrelationsAllPro->Fill(3.5,two4n4n,dMult*(dMult-1.)); - - // store separetately <2> (to be improved: do I really need this?) - fIntFlowCorrelationsEBE->SetBinContent(1,two1n1n); - fIntFlowCorrelationsPro->Fill(0.5,two1n1n,dMult*(dMult-1.)); - - // distribution of : - //f2pDistribution->Fill(two1n1n,dMult*(dMult-1.)); - } // end of if(dMult>1) - - // 3-particle: - Double_t three2n1n1n = 0.; // - Double_t three3n2n1n = 0.; // - Double_t three4n2n2n = 0.; // - Double_t three4n3n1n = 0.; // - - if(dMult>2) - { - three2n1n1n = (reQ2nQ1nstarQ1nstar-2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) - - (pow(dReQ2n,2.)+pow(dImQ2n,2.))+2.*dMult) - / (dMult*(dMult-1.)*(dMult-2.)); - three3n2n1n = (reQ3nQ2nstarQ1nstar-(pow(dReQ3n,2.)+pow(dImQ3n,2.)) - - (pow(dReQ2n,2.)+pow(dImQ2n,2.)) - - (pow(dReQ1n,2.)+pow(dImQ1n,2.))+2.*dMult) - / (dMult*(dMult-1.)*(dMult-2.)); - three4n2n2n = (reQ4nQ2nstarQ2nstar-2.*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) - - (pow(dReQ4n,2.)+pow(dImQ4n,2.))+2.*dMult) - / (dMult*(dMult-1.)*(dMult-2.)); - three4n3n1n = (reQ4nQ3nstarQ1nstar-(pow(dReQ4n,2.)+pow(dImQ4n,2.)) - - (pow(dReQ3n,2.)+pow(dImQ3n,2.)) - - (pow(dReQ1n,2.)+pow(dImQ1n,2.))+2.*dMult) - / (dMult*(dMult-1.)*(dMult-2.)); - - // average 3-particle correlations for single event: - fIntFlowCorrelationsAllEBE->SetBinContent(6,three2n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(7,three3n2n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(8,three4n2n2n); - fIntFlowCorrelationsAllEBE->SetBinContent(9,three4n3n1n); - - // average 3-particle correlations for all events: - fIntFlowCorrelationsAllPro->Fill(5.5,three2n1n1n,dMult*(dMult-1.)*(dMult-2.)); - fIntFlowCorrelationsAllPro->Fill(6.5,three3n2n1n,dMult*(dMult-1.)*(dMult-2.)); - fIntFlowCorrelationsAllPro->Fill(7.5,three4n2n2n,dMult*(dMult-1.)*(dMult-2.)); - fIntFlowCorrelationsAllPro->Fill(8.5,three4n3n1n,dMult*(dMult-1.)*(dMult-2.)); - } // end of if(dMult>2) - - // 4-particle: - Double_t four1n1n1n1n = 0.; // - Double_t four2n2n2n2n = 0.; // - Double_t four2n1n2n1n = 0.; // - Double_t four3n1n1n1n = 0.; // - Double_t four4n2n1n1n = 0.; // - Double_t four3n1n2n2n = 0.; // - Double_t four3n1n3n1n = 0.; // - - if(dMult>3) - { - four1n1n1n1n = (2.*dMult*(dMult-3.)+pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.)-4.*(dMult-2.)*(pow(dReQ1n,2.) - + pow(dImQ1n,2.))-2.*reQ2nQ1nstarQ1nstar+(pow(dReQ2n,2.)+pow(dImQ2n,2.))) - / (dMult*(dMult-1)*(dMult-2.)*(dMult-3.)); - four2n2n2n2n = (2.*dMult*(dMult-3.)+pow((pow(dReQ2n,2.)+pow(dImQ2n,2.)),2.)-4.*(dMult-2.)*(pow(dReQ2n,2.) - + pow(dImQ2n,2.))-2.*reQ4nQ2nstarQ2nstar+(pow(dReQ4n,2.)+pow(dImQ4n,2.))) - / (dMult*(dMult-1)*(dMult-2.)*(dMult-3.)); - four2n1n2n1n = (dQ2nQ1nQ2nstarQ1nstar-2.*reQ3nQ2nstarQ1nstar-2.*reQ2nQ1nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - ((dMult-5.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) - + (dMult-4.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.))-(pow(dReQ3n,2.)+pow(dImQ3n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - + (dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.)); - four3n1n1n1n = (reQ3nQ1nstarQ1nstarQ1nstar-3.*reQ3nQ2nstarQ1nstar-3.*reQ2nQ1nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - + (2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.))+3.*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) - + 6.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))-6.*dMult) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - four4n2n1n1n = (reQ4nQ2nstarQ1nstarQ1nstar-2.*reQ4nQ3nstarQ1nstar-reQ4nQ2nstarQ2nstar-2.*reQ3nQ2nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - (reQ2nQ1nstarQ1nstar-2.*(pow(dReQ4n,2.)+pow(dImQ4n,2.))-2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) - - 3.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))-4.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - 6./((dMult-1.)*(dMult-2.)*(dMult-3.)); - four3n1n2n2n = (reQ3nQ1nQ2nstarQ2nstar-reQ4nQ2nstarQ2nstar-reQ3nQ1nQ4nstar-2.*reQ3nQ2nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - (2.*reQ1nQ1nQ2nstar-(pow(dReQ4n,2.)+pow(dImQ4n,2.))-2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) - - 4.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))-4.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - 6./((dMult-1.)*(dMult-2.)*(dMult-3.)); - four3n1n3n1n = ((pow(dReQ3n,2.)+pow(dImQ3n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) - - 2.*reQ4nQ3nstarQ1nstar-2.*reQ3nQ2nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - + ((pow(dReQ4n,2.)+pow(dImQ4n,2.))-(dMult-4.)*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) - + (pow(dReQ2n,2.)+pow(dImQ2n,2.))-(dMult-4.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) - + (dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.)); - - // average 4-particle correlations for single event: - fIntFlowCorrelationsAllEBE->SetBinContent(11,four1n1n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(12,four2n1n2n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(13,four2n2n2n2n); - fIntFlowCorrelationsAllEBE->SetBinContent(14,four3n1n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(15,four3n1n3n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(16,four3n1n2n2n); - fIntFlowCorrelationsAllEBE->SetBinContent(17,four4n2n1n1n); - - // average 4-particle correlations for all events: - fIntFlowCorrelationsAllPro->Fill(10.5,four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - fIntFlowCorrelationsAllPro->Fill(11.5,four2n1n2n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - fIntFlowCorrelationsAllPro->Fill(12.5,four2n2n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - fIntFlowCorrelationsAllPro->Fill(13.5,four3n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - fIntFlowCorrelationsAllPro->Fill(14.5,four3n1n3n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - fIntFlowCorrelationsAllPro->Fill(15.5,four3n1n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - fIntFlowCorrelationsAllPro->Fill(16.5,four4n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - // store separetately <4> (to be improved: do I really need this?) - fIntFlowCorrelationsEBE->SetBinContent(2,four1n1n1n1n); - fIntFlowCorrelationsPro->Fill(1.5,four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - // distribution of - //f4pDistribution->Fill(four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - } // end of if(dMult>3) - - // 5-particle: - Double_t five2n1n1n1n1n = 0.; // - Double_t five2n2n2n1n1n = 0.; // - Double_t five3n1n2n1n1n = 0.; // - Double_t five4n1n1n1n1n = 0.; // - - if(dMult>4) - { - five2n1n1n1n1n = (reQ2nQ1nQ1nstarQ1nstarQ1nstar-reQ3nQ1nstarQ1nstarQ1nstar+6.*reQ3nQ2nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - (reQ2nQ1nQ3nstar+3.*(dMult-6.)*reQ2nQ1nstarQ1nstar+3.*reQ1nQ1nQ2nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - (2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) - + 3.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) - - 3.*(dMult-4.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - 3.*(pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) - - 2.*(2*dMult-5.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))+2.*dMult*(dMult-4.)) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - - five2n2n2n1n1n = (reQ2nQ2nQ2nstarQ1nstarQ1nstar-reQ4nQ2nstarQ1nstarQ1nstar-2.*reQ2nQ2nQ3nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - + 2.*(reQ4nQ2nstarQ2nstar+4.*reQ3nQ2nstarQ1nstar+reQ3nQ1nQ4nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - + (reQ2nQ2nQ4nstar-2.*(dMult-5.)*reQ2nQ1nstarQ1nstar+2.*reQ1nQ1nQ2nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - (2.*(pow(dReQ4n,2.)+pow(dImQ4n,2.))+4.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) - + 1.*pow((pow(dReQ2n,2.)+pow(dImQ2n,2.)),2.) - - 2.*(3.*dMult-10.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - (4.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) - - 4.*(dMult-5.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))+4.*dMult*(dMult-6.)) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - - five4n1n1n1n1n = (reQ4nQ1nstarQ1nstarQ1nstarQ1nstar-6.*reQ4nQ2nstarQ1nstarQ1nstar-4.*reQ3nQ1nstarQ1nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - + (8.*reQ4nQ3nstarQ1nstar+3.*reQ4nQ2nstarQ2nstar+12.*reQ3nQ2nstarQ1nstar+12.*reQ2nQ1nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - (6.*(pow(dReQ4n,2.)+pow(dImQ4n,2.))+8.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) - + 12.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))+24.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))-24.*dMult) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - - five3n1n2n1n1n = (reQ3nQ1nQ2nstarQ1nstarQ1nstar-reQ4nQ2nstarQ1nstarQ1nstar-reQ3nQ1nstarQ1nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - (reQ3nQ1nQ2nstarQ2nstar-3.*reQ4nQ3nstarQ1nstar-reQ4nQ2nstarQ2nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - ((2.*dMult-13.)*reQ3nQ2nstarQ1nstar-reQ3nQ1nQ4nstar-9.*reQ2nQ1nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - (2.*reQ1nQ1nQ2nstar+2.*(pow(dReQ4n,2.)+pow(dImQ4n,2.)) - - 2.*(dMult-5.)*(pow(dReQ3n,2.)+pow(dImQ3n,2.))+2.*(pow(dReQ3n,2.) - + pow(dImQ3n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - + (2.*(dMult-6.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) - - 2.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) - - pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) - + 2.*(3.*dMult-11.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - - 4.*(dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - - // average 5-particle correlations for single event: - fIntFlowCorrelationsAllEBE->SetBinContent(19,five2n1n1n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(20,five2n2n2n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(21,five3n1n2n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(22,five4n1n1n1n1n); - - // average 5-particle correlations for all events: - fIntFlowCorrelationsAllPro->Fill(18.5,five2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - fIntFlowCorrelationsAllPro->Fill(19.5,five2n2n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - fIntFlowCorrelationsAllPro->Fill(20.5,five3n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - fIntFlowCorrelationsAllPro->Fill(21.5,five4n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); - } // end of if(dMult>4) - - // 6-particle: - Double_t six1n1n1n1n1n1n = 0.; // - Double_t six2n2n1n1n1n1n = 0.; // - Double_t six3n1n1n1n1n1n = 0.; // - Double_t six2n1n1n2n1n1n = 0.; // - - if(dMult>5) - { - six1n1n1n1n1n1n = (pow(pow(dReQ1n,2.)+pow(dImQ1n,2.),3.)+9.*dQ2nQ1nQ2nstarQ1nstar-6.*reQ2nQ1nQ1nstarQ1nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)) - + 4.*(reQ3nQ1nstarQ1nstarQ1nstar-3.*reQ3nQ2nstarQ1nstar) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)) - + 2.*(9.*(dMult-4.)*reQ2nQ1nstarQ1nstar+2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)) - - 9.*(pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.)+(pow(dReQ2n,2.)+pow(dImQ2n,2.))) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-5.)) - + (18.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) - / (dMult*(dMult-1)*(dMult-3)*(dMult-4)) - - 6./((dMult-1.)*(dMult-2.)*(dMult-3.)); - - six2n1n1n2n1n1n = (dQ2nQ1nQ1nQ2nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.) - * (2.*five2n2n2n1n1n+4.*five2n1n1n1n1n+4.*five3n1n2n1n1n+4.*four2n1n2n1n+1.*four1n1n1n1n) - - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(4.*four1n1n1n1n+4.*two1n1n - + 2.*three2n1n1n+2.*three2n1n1n+4.*four3n1n1n1n+8.*three2n1n1n+2.*four4n2n1n1n - + 4.*four2n1n2n1n+2.*two2n2n+8.*four2n1n2n1n+4.*four3n1n3n1n+8.*three3n2n1n - + 4.*four3n1n2n2n+4.*four1n1n1n1n+4.*four2n1n2n1n+1.*four2n2n2n2n) - - dMult*(dMult-1.)*(dMult-2.)*(2.*three2n1n1n+8.*two1n1n+4.*two1n1n+2. - + 4.*two1n1n+4.*three2n1n1n+2.*two2n2n+4.*three2n1n1n+8.*three3n2n1n - + 8.*two2n2n+4.*three4n3n1n+4.*two3n3n+4.*three3n2n1n+4.*two1n1n - + 8.*three2n1n1n+4.*two1n1n+4.*three3n2n1n+4.*three2n1n1n+2.*two2n2n - + 4.*three3n2n1n+2.*three4n2n2n)-dMult*(dMult-1.) - * (4.*two1n1n+4.+4.*two1n1n+2.*two2n2n+1.+4.*two1n1n+4.*two2n2n+4.*two3n3n - + 1.+2.*two2n2n+1.*two4n4n)-dMult) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); // to be improved (direct formula needed) - - six2n2n1n1n1n1n = (reQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.) - * (five4n1n1n1n1n+8.*five2n1n1n1n1n+6.*five2n2n2n1n1n)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.) - * (4.*four3n1n1n1n+6.*four4n2n1n1n+12.*three2n1n1n+12.*four1n1n1n1n+24.*four2n1n2n1n - + 4.*four3n1n2n2n+3.*four2n2n2n2n)-dMult*(dMult-1.)*(dMult-2.)*(6.*three2n1n1n+12.*three3n2n1n - + 4.*three4n3n1n+3.*three4n2n2n+8.*three2n1n1n+24.*two1n1n+12.*two2n2n+12.*three2n1n1n+8.*three3n2n1n - + 1.*three4n2n2n)-dMult*(dMult-1.)*(4.*two1n1n+6.*two2n2n+4.*two3n3n+1.*two4n4n+2.*two2n2n+8.*two1n1n+6.)-dMult) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); // to be improved (direct formula needed) - - six3n1n1n1n1n1n = (reQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.) - * (five4n1n1n1n1n+4.*five2n1n1n1n1n+6.*five3n1n2n1n1n+4.*four3n1n1n1n) - - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(4.*four3n1n1n1n+6.*four4n2n1n1n+6.*four1n1n1n1n - + 12.*three2n1n1n+12.*four2n1n2n1n+6.*four3n1n1n1n+12.*three3n2n1n+4.*four3n1n3n1n+3.*four3n1n2n2n) - - dMult*(dMult-1.)*(dMult-2.)*(6.*three2n1n1n+12.*three3n2n1n+4.*three4n3n1n+3.*three4n2n2n+4.*two1n1n - + 12.*two1n1n+6.*three2n1n1n+12.*three2n1n1n+4.*three3n2n1n+12.*two2n2n+4.*three3n2n1n+4.*two3n3n+1.*three4n3n1n - + 6.*three3n2n1n)-dMult*(dMult-1.)*(4.*two1n1n+6.*two2n2n+4.*two3n3n+1.*two4n4n+1.*two1n1n+4.+6.*two1n1n+4.*two2n2n - + 1.*two3n3n)-dMult)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); // to be improved (direct formula needed) - - // average 6-particle correlations for single event: - fIntFlowCorrelationsAllEBE->SetBinContent(24,six1n1n1n1n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(25,six2n1n1n2n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(26,six2n2n1n1n1n1n); - fIntFlowCorrelationsAllEBE->SetBinContent(27,six3n1n1n1n1n1n); - - // average 6-particle correlations for all events: - fIntFlowCorrelationsAllPro->Fill(23.5,six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); - fIntFlowCorrelationsAllPro->Fill(24.5,six2n1n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); - fIntFlowCorrelationsAllPro->Fill(25.5,six2n2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); - fIntFlowCorrelationsAllPro->Fill(26.5,six3n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); - - // store separetately <6> (to be improved: do I really need this?) - fIntFlowCorrelationsEBE->SetBinContent(3,six1n1n1n1n1n1n); - fIntFlowCorrelationsPro->Fill(2.5,six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); - - // distribution of - //f6pDistribution->Fill(six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); - } // end of if(dMult>5) - - // 7-particle: - Double_t seven2n1n1n1n1n1n1n = 0.; // - - if(dMult>6) - { - seven2n1n1n1n1n1n1n = (reQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.) - * (2.*six3n1n1n1n1n1n+4.*six1n1n1n1n1n1n+1.*six2n2n1n1n1n1n+6.*six2n1n1n2n1n1n+8.*five2n1n1n1n1n) - - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(1.*five4n1n1n1n1n +8.*five2n1n1n1n1n+8.*four3n1n1n1n - + 12.*five3n1n2n1n1n+4.*five2n1n1n1n1n+3.*five2n2n2n1n1n+6.*five2n2n2n1n1n+6.*four1n1n1n1n+24.*four1n1n1n1n - + 12.*five2n1n1n1n1n+12.*five2n1n1n1n1n+12.*three2n1n1n+24.*four2n1n2n1n+4.*five3n1n2n1n1n+4.*five2n1n1n1n1n) - - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(4.*four3n1n1n1n+6.*four4n2n1n1n+12.*four1n1n1n1n+24.*three2n1n1n - + 24.*four2n1n2n1n+12.*four3n1n1n1n+24.*three3n2n1n+8.*four3n1n3n1n+6.*four3n1n2n2n+6.*three2n1n1n+12.*four1n1n1n1n - + 12.*four2n1n2n1n+6.*three2n1n1n+12.*four2n1n2n1n+4.*four3n1n2n2n+3.*four2n2n2n2n+4.*four1n1n1n1n+6.*three2n1n1n - + 24.*two1n1n+24.*four1n1n1n1n+4.*four3n1n1n1n+24.*two1n1n+24.*three2n1n1n+12.*two2n2n+24.*three2n1n1n+12.*four2n1n2n1n - + 8.*three3n2n1n+8.*four2n1n2n1n+1.*four4n2n1n1n)-dMult*(dMult-1.)*(dMult-2.)*(6.*three2n1n1n+1.*three2n1n1n+8.*two1n1n - + 12.*three3n2n1n+24.*two1n1n+12.*three2n1n1n+4.*three2n1n1n+8.*two1n1n+4.*three4n3n1n+24.*three2n1n1n+8.*three3n2n1n - + 12.*two1n1n+12.*two1n1n+3.*three4n2n2n+24.*two2n2n+6.*two2n2n+12.+12.*three3n2n1n+8.*two3n3n+12.*three2n1n1n+24.*two1n1n - + 4.*three3n2n1n+8.*three3n2n1n+2.*three4n3n1n+12.*two1n1n+8.*three2n1n1n+4.*three2n1n1n+2.*three3n2n1n+6.*two2n2n+8.*two2n2n - + 1.*three4n2n2n+4.*three3n2n1n+6.*three2n1n1n)-dMult*(dMult-1.)*(4.*two1n1n+2.*two1n1n+6.*two2n2n+8.+1.*two2n2n+4.*two3n3n - + 12.*two1n1n+4.*two1n1n+1.*two4n4n+8.*two2n2n+6.+2.*two3n3n+4.*two1n1n+1.*two2n2n)-dMult) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)); // to be improved (direct formula needed) - - // average 7-particle correlations for single event: - fIntFlowCorrelationsAllEBE->SetBinContent(29,seven2n1n1n1n1n1n1n); - - // average 7-particle correlations for all events: - fIntFlowCorrelationsAllPro->Fill(28.5,seven2n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)); - } // end of if(dMult>6) - - // 8-particle: - Double_t eight1n1n1n1n1n1n1n1n = 0.; // - if(dMult>7) - { - eight1n1n1n1n1n1n1n1n = (pow(pow(dReQ1n,2.)+pow(dImQ1n,2.),4.)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.) - * (12.*seven2n1n1n1n1n1n1n+16.*six1n1n1n1n1n1n)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.) - * (8.*six3n1n1n1n1n1n+48.*six1n1n1n1n1n1n+6.*six2n2n1n1n1n1n+96.*five2n1n1n1n1n+72.*four1n1n1n1n+36.*six2n1n1n2n1n1n) - - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(2.*five4n1n1n1n1n+32.*five2n1n1n1n1n+36.*four1n1n1n1n - + 32.*four3n1n1n1n+48.*five2n1n1n1n1n+48.*five3n1n2n1n1n+144.*five2n1n1n1n1n+288.*four1n1n1n1n+36.*five2n2n2n1n1n - + 144.*three2n1n1n+96.*two1n1n+144.*four2n1n2n1n)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.) - * (8.*four3n1n1n1n+48.*four1n1n1n1n+12.*four4n2n1n1n+96.*four2n1n2n1n+96.*three2n1n1n+72.*three2n1n1n+144.*two1n1n - + 16.*four3n1n3n1n+48.*four3n1n1n1n+144.*four1n1n1n1n+72.*four1n1n1n1n+96.*three3n2n1n+24.*four3n1n2n2n+144.*four2n1n2n1n - + 288.*two1n1n+288.*three2n1n1n+9.*four2n2n2n2n+72.*two2n2n+24.)-dMult*(dMult-1.)*(dMult-2.)*(12.*three2n1n1n+16.*two1n1n - + 24.*three3n2n1n+48.*three2n1n1n+96.*two1n1n+8.*three4n3n1n+32.*three3n2n1n+96.*three2n1n1n+144.*two1n1n+6.*three4n2n2n - + 96.*two2n2n+36.*two2n2n+72.+48.*three3n2n1n+16.*two3n3n+72.*three2n1n1n+144.*two1n1n)-dMult*(dMult-1.)*(8.*two1n1n - + 12.*two2n2n+16.+8.*two3n3n+48.*two1n1n+1.*two4n4n+16.*two2n2n+18.)-dMult) - / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.)); // to be improved (direct formula needed) - - // average 8-particle correlations for single event: - fIntFlowCorrelationsAllEBE->SetBinContent(31,eight1n1n1n1n1n1n1n1n); - - // average 8-particle correlations for all events: - fIntFlowCorrelationsAllPro->Fill(30.5,eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.)); - - // store separetately <8> (to be improved: do I really need this?) - fIntFlowCorrelationsEBE->SetBinContent(4,eight1n1n1n1n1n1n1n1n); - fIntFlowCorrelationsPro->Fill(3.5,eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.)); - - // distribution of - //f8pDistribution->Fill(eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.)); - } // end of if(dMult>7) - -} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrelations() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::EvaluateNestedLoopsForIntegratedFlow(AliFlowEventSimple* anEvent) -{ - // 1.) Evaluate with nested loops the relevant correlations for integrated flow without and with using the particle weights. - // Results are stored in profiles fDirectCorrelations and fDirectCorrelationsW, respectively. - - // 2.) Evaluate with nested loops corrections for non-uniform acceptance relevant for integrated flow, - // without and with using the particle weights. - // Without weights: cos terms are stored in profile fDirectCorrectionsCos, and sin terms in profile fDirectCorrectionsSin. - // With weights: cos terms are stored in profile fDirectCorrectionsCosW, and sin terms in profile fDirectCorrectionsSinW. - - // 3.) Binning of fDirectCorrelations is organized as follows: - // - // 1st bin: <2>_{1n|1n} = two1n1n = cos(n*(phi1-phi2))> - // 2nd bin: <2>_{2n|2n} = two2n2n = cos(2n*(phi1-phi2))> - // 3rd bin: <2>_{3n|3n} = two3n3n = cos(3n*(phi1-phi2))> - // 4th bin: <2>_{4n|4n} = two4n4n = cos(4n*(phi1-phi2))> - // 5th bin: ---- EMPTY ---- - // 6th bin: <3>_{2n|1n,1n} = three2n1n1n = - // 7th bin: <3>_{3n|2n,1n} = three3n2n1n = - // 8th bin: <3>_{4n|2n,2n} = three4n2n2n = - // 9th bin: <3>_{4n|3n,1n} = three4n3n1n = - // 10th bin: ---- EMPTY ---- - // 11th bin: <4>_{1n,1n|1n,1n} = four1n1n1n1n = - // 12th bin: <4>_{2n,1n|2n,1n} = four2n1n2n1n = - // 13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n = - // 14th bin: <4>_{3n|1n,1n,1n} = four3n1n1n1n = - // 15th bin: <4>_{3n,1n|3n,1n} = four3n1n3n1n = - // 16th bin: <4>_{3n,1n|2n,2n} = four3n1n2n2n = - // 17th bin: <4>_{4n|2n,1n,1n} = four4n2n1n1n = - // 18th bin: ---- EMPTY ---- - // 19th bin: <5>_{2n|1n,1n,1n,1n} = five2n1n1n1n1n = - // 20th bin: <5>_{2n,2n|2n,1n,1n} = five2n2n2n1n1n = - // 21st bin: <5>_{3n,1n|2n,1n,1n} = five3n1n2n1n1n = - // 22nd bin: <5>_{4n|1n,1n,1n,1n} = five4n1n1n1n1n = - // 23rd bin: ---- EMPTY ---- - // 24th bin: <6>_{1n,1n,1n|1n,1n,1n} = six1n1n1n1n1n1n = - // 25th bin: <6>_{2n,1n,1n|2n,1n,1n} = six2n1n1n2n1n1n = - // 26th bin: <6>_{2n,2n|1n,1n,1n,1n} = six2n2n1n1n1n1n = - // 27th bin: <6>_{3n,1n|1n,1n,1n,1n} = six3n1n1n1n1n1n = - // 28th bin: ---- EMPTY ---- - // 29th bin: <7>_{2n,1n,1n|1n,1n,1n,1n} = seven2n1n1n1n1n1n1n = - // 30th bin: ---- EMPTY ---- - // 31st bin: <8>_{1n,1n,1n,1n|1n,1n,1n,1n} = eight1n1n1n1n1n1n1n1n = - - // 4.) Binning of fDirectCorrelationsW is organized as follows: - // .............................................................................................. - // ---- bins 1-20: 2-particle correlations ---- - // 1st bin: two1n1nW1W1 = - // 2nd bin: two2n2nW2W2 = - // 3rd bin: two3n3nW3W3 = - // 4th bin: two4n4nW4W4 = - // 5th bin: two1n1nW3W1 = - // 6th bin: two1n1nW1W1W2 = - // ---- bins 21-40: 3-particle correlations ---- - // 21st bin: three2n1n1nW2W1W1 = - // ---- bins 41-60: 4-particle correlations ---- - // 41st bin: four1n1n1n1nW1W1W1W1 = - // ---- bins 61-80: 5-particle correlations ---- - // ---- bins 81-100: 6-particle correlations ---- - // ---- bins 101-120: 7-particle correlations ---- - // ---- bins 121-140: 8-particle correlations ---- - // .............................................................................................. - - // 5.) Binning of fDirectCorrectionsCos is organized as follows: - // .............................................................................................. - // 1st bin: <> = cosP1n - // 2nd bin: <> = cosP1nP1n - // 3rd bin: <> = cosP1nM1nM1n - // ... - // .............................................................................................. - - // 6.) Binning of fDirectCorrectionsSin is organized as follows: - // .............................................................................................. - // 1st bin: <> = sinP1n - // 2nd bin: <> = sinP1nP1n - // 3rd bin: <> = sinP1nM1nM1n - // ... - // .............................................................................................. - - // 7.) Binning of fDirectCorrectionsCosW is organized as follows: - // .............................................................................................. - // ... - // .............................................................................................. - - // 8.) Binning of fDirectCorrectionsSinW is organized as follows: - // .............................................................................................. - // ... - // .............................................................................................. - - Int_t nPrim = anEvent->NumberOfTracks(); - AliFlowTrackSimple *aftsTrack = NULL; - - Double_t phi1=0., phi2=0., phi3=0., phi4=0., phi5=0., phi6=0., phi7=0., phi8=0.; - Double_t wPhi1=1., wPhi2=1., wPhi3=1., wPhi4=1., wPhi5=1., wPhi6=1., wPhi7=1., wPhi8=1.; - - Int_t n = fHarmonic; - - // 2-particle correlations and 1- and 2-particle correction terms: - for(Int_t i1=0;i1GetTrack(i1); - if(!(aftsTrack->InRPSelection())) continue; - phi1=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); - - // corrections for non-uniform acceptance: - // non-weighted: - fDirectCorrectionsCos->Fill(0.5,cos(n*phi1),1.); // - fDirectCorrectionsSin->Fill(0.5,sin(n*phi1),1.); // - // weighted: - // fDirectCorrectionsCosW->Fill(0.5,???,1); // to be improved (continued) - // fDirectCorrectionsSinW->Fill(0.5,???,1); // to be improved (continued) - - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection())) continue; - phi2=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); - - // non-weighted correlations: - fDirectCorrelations->Fill(0.5,cos(n*(phi1-phi2)),1.); // - fDirectCorrelations->Fill(1.5,cos(2.*n*(phi1-phi2)),1.); // - fDirectCorrelations->Fill(2.5,cos(3.*n*(phi1-phi2)),1.); // - fDirectCorrelations->Fill(3.5,cos(4.*n*(phi1-phi2)),1.); // - - // weighted correlations: - // ................................................................................................................ - if(fUsePhiWeights) fDirectCorrelationsW->Fill(0.5,cos(n*(phi1-phi2)),wPhi1*wPhi2); // - if(fUsePhiWeights) fDirectCorrelationsW->Fill(1.5,cos(2.*n*(phi1-phi2)),pow(wPhi1,2)*pow(wPhi2,2)); // - if(fUsePhiWeights) fDirectCorrelationsW->Fill(2.5,cos(3.*n*(phi1-phi2)),pow(wPhi1,3)*pow(wPhi2,3)); // - if(fUsePhiWeights) fDirectCorrelationsW->Fill(3.5,cos(4.*n*(phi1-phi2)),pow(wPhi1,4)*pow(wPhi2,4)); // - if(fUsePhiWeights) fDirectCorrelationsW->Fill(4.5,cos(n*(phi1-phi2)),pow(wPhi1,3)*wPhi2); // - // ... - // ................................................................................................................ - - // non-weighted corrections for non-uniform acceptance (cos terms) - // ................................................................................................................ - fDirectCorrectionsCos->Fill(1.5,cos(n*(phi1+phi2)),1.); // <> - // ... - // ................................................................................................................ - - // non-weighted corrections for non-uniform acceptance (sin terms) - // ................................................................................................................ - fDirectCorrectionsSin->Fill(1.5,sin(n*(phi1+phi2)),1.); // <> - // ... - // ................................................................................................................ - - // weighted corrections for non-uniform acceptance (cos terms) - // ................................................................................................................ - // fDirectCorrectionsCosW->Fill(1.5,???,1.); // to be improved (continued) - // ... - // ................................................................................................................ - - // non-weighted corrections for non-uniform acceptance (sin terms) - // ................................................................................................................ - // fDirectCorrectionsSinW->Fill(1.5,???,1.); // to be improved (continued) - // ... - // ................................................................................................................ - - } // end of for(Int_t i2=0;i2GetTrack(i1); - if(!(aftsTrack->InRPSelection())) continue; - phi1=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection())) continue; - phi2=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i3=0;i3GetTrack(i3); - if(!(aftsTrack->InRPSelection())) continue; - phi3=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); - - // non-weighted correlations: - fDirectCorrelations->Fill(5.,cos(2.*n*phi1-n*(phi2+phi3)),1.); //<3>_{2n|nn,n} - fDirectCorrelations->Fill(6.,cos(3.*n*phi1-2.*n*phi2-n*phi3),1.); //<3>_{3n|2n,n} - fDirectCorrelations->Fill(7.,cos(4.*n*phi1-2.*n*phi2-2.*n*phi3),1.); //<3>_{4n|2n,2n} - fDirectCorrelations->Fill(8.,cos(4.*n*phi1-3.*n*phi2-n*phi3),1.); //<3>_{4n|3n,n} - - // weighted correlations: - // .............................................................................................................................. - // 2-p: - if(fUsePhiWeights) fDirectCorrelationsW->Fill(5.,cos(n*(phi1-phi2)),wPhi1*wPhi2*pow(wPhi3,2)); // - // 3-p: - if(fUsePhiWeights) fDirectCorrelationsW->Fill(20.,cos(2.*n*phi1-n*(phi2+phi3)),pow(wPhi1,2)*wPhi2*wPhi3); // - // ... - // .............................................................................................................................. - - // non-weighted corrections for non-uniform acceptance (cos terms) - // ................................................................................................................ - fDirectCorrectionsCos->Fill(2.,cos(n*(phi1-phi2-phi3)),1.); // <> - // ... - // ................................................................................................................ - - // non-weighted corrections for non-uniform acceptance (sin terms) - // ................................................................................................................ - fDirectCorrectionsSin->Fill(2.,sin(n*(phi1-phi2-phi3)),1.); // <> - // ... - // ................................................................................................................ - - // weighted corrections for non-uniform acceptance (cos terms) - // ................................................................................................................ - // ... - // ................................................................................................................ - - // weighted corrections for non-uniform acceptance (sin terms) - // ................................................................................................................ - // ... - // ................................................................................................................ - - } // end of for(Int_t i3=0;i3GetTrack(i1); - if(!(aftsTrack->InRPSelection())) continue; - phi1=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i2=0;i2GetTrack(i2); - if(!(aftsTrack->InRPSelection())) continue; - phi2=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i3=0;i3GetTrack(i3); - if(!(aftsTrack->InRPSelection())) continue; - phi3=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); - for(Int_t i4=0;i4GetTrack(i4); - if(!(aftsTrack->InRPSelection())) continue; - phi4=aftsTrack->Phi(); - if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi()))); - - // non-weighted: - fDirectCorrelations->Fill(10.,cos(n*phi1+n*phi2-n*phi3-n*phi4),1.); // <4>_{n,n|n,n} - fDirectCorrelations->Fill(11.,cos(2.*n*phi1+n*phi2-2.*n*phi3-n*phi4),1.); // <4>_{2n,n|2n,n} - fDirectCorrelations->Fill(12.,cos(2.*n*phi1+2*n*phi2-2.*n*phi3-2.*n*phi4),1.); // <4>_{2n,2n|2n,2n} - fDirectCorrelations->Fill(13.,cos(3.*n*phi1-n*phi2-n*phi3-n*phi4),1.); // <4>_{3n|n,n,n} - fDirectCorrelations->Fill(14.,cos(3.*n*phi1+n*phi2-3.*n*phi3-n*phi4),1.); // <4>_{3n,n|3n,n} - fDirectCorrelations->Fill(15.,cos(3.*n*phi1+n*phi2-2.*n*phi3-2.*n*phi4),1.); // <4>_{3n,n|2n,2n} - fDirectCorrelations->Fill(16.,cos(4.*n*phi1-2.*n*phi2-n*phi3-n*phi4),1.); // <4>_{4n|2n,n,n} - - // weighted: - //....................................................................................... - // 4-p: - if(fUsePhiWeights) fDirectCorrelationsW->Fill(40.,cos(n*phi1+n*phi2-n*phi3-n*phi4),wPhi1*wPhi2*wPhi3*wPhi4); - // ... - //....................................................................................... - - } - } - } - } - - // 5-particle correlations: - for(Int_t i1=0;i1_{1n,1n} from Q-vectors = "<GetBinContent(1)<_{1n,1n} from nested loops = "<GetBinContent(1)<_{2n,2n} from Q-vectors = "<GetBinContent(2)<_{2n,2n} from nested loops = "<GetBinContent(2)<_{3n,3n} from Q-vectors = "<GetBinContent(3)<_{3n,3n} from nested loops = "<GetBinContent(3)<_{4n,4n} from Q-vectors = "<GetBinContent(4)<_{4n,4n} from nested loops = "<GetBinContent(4)<_{2n|1n,1n} from Q-vectors = "<GetBinContent(6)<_{2n|1n,1n} from nested loops = "<GetBinContent(6)<_{3n|2n,1n} from Q-vectors = "<GetBinContent(7)<_{3n|2n,1n} from nested loops = "<GetBinContent(7)<_{4n,2n,2n} from Q-vectors = "<GetBinContent(8)<_{4n,2n,2n} from nested loops = "<GetBinContent(8)<_{4n,3n,1n} from Q-vectors = "<GetBinContent(9)<_{4n,3n,1n} from nested loops = "<GetBinContent(9)<_{1n,1n|1n,1n} from Q-vectors = "<GetBinContent(11)<_{1n,1n|1n,1n} from nested loops = "<GetBinContent(11)<_{2n,1n|2n,1n} from Q-vectors = "<GetBinContent(12)<_{2n,1n|2n,1n} from nested loops = "<GetBinContent(12)<_{2n,2n|2n,2n} from Q-vectors = "<GetBinContent(13)<_{2n,2n|2n,2n} from nested loops = "<GetBinContent(13)<_{3n|1n,1n,1n} from Q-vectors = "<GetBinContent(14)<_{3n|1n,1n,1n} from nested loops = "<GetBinContent(14)<_{3n,1n|3n,1n} from Q-vectors = "<GetBinContent(15)<_{3n,1n|3n,1n} from nested loops = "<GetBinContent(15)<_{3n,1n|2n,2n} from Q-vectors = "<GetBinContent(16)<_{3n,1n|2n,2n} from nested loops = "<GetBinContent(16)<_{4n|2n,1n,1n} from Q-vectors = "<GetBinContent(17)<_{4n|2n,1n,1n} from nested loops = "<GetBinContent(17)<_{2n,1n|1n,1n,1n} from Q-vectors = "<GetBinContent(19)<_{2n,1n|1n,1n,1n} from nested loops = "<GetBinContent(19)<_{2n,2n|2n,1n,1n} from Q-vectors = "<GetBinContent(20)<_{2n,2n|2n,1n,1n} from nested loops = "<GetBinContent(20)<_{3n,1n|2n,1n,1n} from Q-vectors = "<GetBinContent(21)<_{3n,1n|2n,1n,1n} from nested loops = "<GetBinContent(21)<_{4n|1n,1n,1n,1n} from Q-vectors = "<GetBinContent(22)<_{4n|1n,1n,1n,1n} from nested loops = "<GetBinContent(22)<_{1n,1n,1n|1n,1n,1n} from Q-vectors = "<GetBinContent(24)<_{1n,1n,1n|1n,1n,1n} from nested loops = "<GetBinContent(24)<_{2n,1n,1n|2n,1n,1n} from Q-vectors = "<GetBinContent(25)<_{2n,1n,1n|2n,1n,1n} from nested loops = "<GetBinContent(25)<_{2n,2n|1n,1n,1n,1n} from Q-vectors = "<GetBinContent(26)<_{2n,2n|1n,1n,1n,1n} from nested loops = "<GetBinContent(26)<_{3n,1n|1n,1n,1n,1n} from Q-vectors = "<GetBinContent(27)<_{3n,1n|1n,1n,1n,1n} from nested loops = "<GetBinContent(27)<_{2n,1n,1n|1n,1n,1n,1n} from Q-vectors = "<GetBinContent(29)<_{2n,1n,1n|1n,1n,1n,1n} from nested loops = "<GetBinContent(29)<_{1n,1n,1n,1n|1n,1n,1n,1n} from Q-vectors = "<GetBinContent(31)<_{1n,1n,1n,1n|1n,1n,1n,1n} from nested loops = "<GetBinContent(31)< from Q-vectors = "<GetBinContent(1)< from nested loops = "<GetBinContent(1)< from Q-vectors = "<GetBinContent(1)< from nested loops = "<GetBinContent(1)< from Q-vectors = "<GetBinContent(2)< from nested loops = "<GetBinContent(2)< from Q-vectors = "<GetBinContent(2)< from nested loops = "<GetBinContent(2)< from Q-vectors = "<GetBinContent(3)< from nested loops = "<GetBinContent(3)< from Q-vectors = "<GetBinContent(3)< from nested loops = "<GetBinContent(3)< from Q-vectors = "<GetBinContent(1)< from nested loops = "<GetBinContent(1)< from Q-vectors = "<GetBinContent(2)< from nested loops = "<GetBinContent(2)< from Q-vectors = "<GetBinContent(3)< from nested loops = "<GetBinContent(3)< from Q-vectors = "<GetBinContent(4)< from nested loops = "<GetBinContent(4)< from Q-vectors = "<GetBinContent(5)< from nested loops = "<GetBinContent(5)< from Q-vectors = "<GetBinContent(6)< from nested loops = "<GetBinContent(6)< from Q-vectors = "<GetBinContent(21)< from nested loops = "<GetBinContent(21)< from Q-vectors = "<GetBinContent(11)< from nested loops = "<GetBinContent(41)<<4>> - // 2nd bin: <<2><6>> - // 3rd bin: <<2><8>> - // 4th bin: <<4><6>> - // 5th bin: <<4><8>> - // 6th bin: <<6><8>> - - Double_t dMult = (*fSMpk)(0,0); // multiplicity - - Double_t twoEBE = 0.; // <2> - Double_t fourEBE = 0.; // <4> - Double_t sixEBE = 0.; // <6> - Double_t eightEBE = 0.; // <8> - - // to be improved (this can be implemented better) - if(dMult>1) - { - twoEBE = fIntFlowCorrelationsEBE->GetBinContent(1); - if(dMult>3) - { - fourEBE = fIntFlowCorrelationsEBE->GetBinContent(2); - if(dMult>5) - { - sixEBE = fIntFlowCorrelationsEBE->GetBinContent(3); - if(dMult>7) - { - eightEBE = fIntFlowCorrelationsEBE->GetBinContent(4); - } - } - } - } - - // <<2><4>> - if(dMult>3) - { - fIntFlowProductOfCorrelationsPro->Fill(0.5,twoEBE*fourEBE,dMult*(dMult-1)*dMult*(dMult-1)*(dMult-2)*(dMult-3)); - } - - // <<2><6>> - if(dMult>5) - { - fIntFlowProductOfCorrelationsPro->Fill(1.5,twoEBE*sixEBE,dMult*(dMult-1)*dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)); - } - - // <<2><8>> - if(dMult>7) - { - fIntFlowProductOfCorrelationsPro->Fill(2.5,twoEBE*eightEBE,dMult*(dMult-1)*dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)*(dMult-6)*(dMult-7)); - } - - // <<4><6>> - if(dMult>5) - { - fIntFlowProductOfCorrelationsPro->Fill(3.5,fourEBE*sixEBE,dMult*(dMult-1)*(dMult-2)*(dMult-3)*dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)); - } - - // <<4><8>> - if(dMult>7) - { - fIntFlowProductOfCorrelationsPro->Fill(4.5,fourEBE*eightEBE,dMult*(dMult-1)*(dMult-2)*(dMult-3)* - dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)*(dMult-6)*(dMult-7)); - } - - // <<6><8>> - if(dMult>7) - { - fIntFlowProductOfCorrelationsPro->Fill(5.5,sixEBE*eightEBE,dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)* - dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)*(dMult-6)*(dMult-7)); - } - -} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowProductOfCorrelations() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateCovariancesIntFlow() -{ - // a) Calculate unbiased estimators Cov(<2>,<4>), Cov(<2>,<6>), Cov(<2>,<8>), Cov(<4>,<6>), Cov(<4>,<8>) and Cov(<6>,<8>) - // for covariances V_(<2>,<4>), V_(<2>,<6>), V_(<2>,<8>), V_(<4>,<6>), V_(<4>,<8>) and V_(<6>,<8>). - // b) Store in histogram fIntFlowCovariances for instance the following: - // - // Cov(<2>,<4>) * (sum_{i=1}^{N} w_{<2>}_i w_{<4>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<4>}_j)] - // - // where N is the number of events, w_{<2>} is event weight for <2> and w_{<4>} is event weight for <4>. - // c) Binning of fIntFlowCovariances is organized as follows: - // - // 1st bin: Cov(<2>,<4>) * (sum_{i=1}^{N} w_{<2>}_i w_{<4>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<4>}_j)] - // 2nd bin: Cov(<2>,<6>) * (sum_{i=1}^{N} w_{<2>}_i w_{<6>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<6>}_j)] - // 3rd bin: Cov(<2>,<8>) * (sum_{i=1}^{N} w_{<2>}_i w_{<8>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<8>}_j)] - // 4th bin: Cov(<4>,<6>) * (sum_{i=1}^{N} w_{<4>}_i w_{<6>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<6>}_j)] - // 5th bin: Cov(<4>,<8>) * (sum_{i=1}^{N} w_{<4>}_i w_{<8>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<8>}_j)] - // 6th bin: Cov(<6>,<8>) * (sum_{i=1}^{N} w_{<6>}_i w_{<8>}_i )/[(sum_{i=1}^{N} w_{<6>}_i) * (sum_{j=1}^{N} w_{<8>}_j)] - - for(Int_t power=0;power<2;power++) - { - if(!(fIntFlowCorrelationsPro && fIntFlowProductOfCorrelationsPro - && fIntFlowSumOfEventWeights[power] && fIntFlowSumOfProductOfEventWeights - && fIntFlowCovariances)) - { - cout<<"WARNING: fIntFlowCorrelationsPro && fIntFlowProductOfCorrelationsPro "< 0.) - { - termB = 1./pow(1-pow(termA,2.),0.5); - } else - { - cout<<"WARNING: 1.-pow(termA,2.) <= 0 in AFAWQC::FCIF() !!!!"<SetBinContent(ci,correlation); - fIntFlowCorrelationsHist->SetBinError(ci,statisticalError); - } // end of for(Int_t ci=1;ci<=4;ci++) // correlation index - -} // end of AliFlowAnalysisWithQCumulants::FinalizeCorrelationsIntFlow() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::FillAverageMultiplicities(Int_t nRP) -{ - // Fill profile fAverageMultiplicity to hold average multiplicities and number of events for events with nRP>=0, nRP>=1, ... , and nRP>=8 - - // Binning of fAverageMultiplicity is organized as follows: - // 1st bin: all events (including the empty ones) - // 2nd bin: event with # of RPs greater or equal to 1 - // 3rd bin: event with # of RPs greater or equal to 2 - // 4th bin: event with # of RPs greater or equal to 3 - // 5th bin: event with # of RPs greater or equal to 4 - // 6th bin: event with # of RPs greater or equal to 5 - // 7th bin: event with # of RPs greater or equal to 6 - // 8th bin: event with # of RPs greater or equal to 7 - // 9th bin: event with # of RPs greater or equal to 8 - - if(!fAvMultiplicity) - { - cout<<"WARNING: fAvMultiplicity is NULL in AFAWQC::FAM() !!!!"<=i) fAvMultiplicity->Fill(i+0.5,nRP,1); - } - -} // end of AliFlowAnalysisWithQCumulants::FillAverageMultiplicities(nRP) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateCumulantsIntFlow() -{ - // a) Calculate Q-cumulants from the measured multiparticle correlations. - // b) Propagate the statistical errors of measured multiparticle correlations to statistical errors of Q-cumulants. - // c) REMARK: Q-cumulants calculated in this method are biased by non-uniform acceptance of detector !!!! - // Method ApplyCorrectionForNonUniformAcceptance* (to be improved: finalize the name here) - // is called afterwards to correct for this bias. - // d) Store the results and statistical error of Q-cumulants in histogram fCumulants. - // Binning of fCumulants is organized as follows: - // - // 1st bin: QC{2} - // 2nd bin: QC{4} - // 3rd bin: QC{6} - // 4th bin: QC{8} - - if(!(fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants)) - { - cout<<"WARNING: fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants is NULL in AFAWQC::CCIF() !!!!"<GetBinContent(1); // <<2>> - Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> - Double_t six = fIntFlowCorrelationsHist->GetBinContent(3); // <<6>> - Double_t eight = fIntFlowCorrelationsHist->GetBinContent(4); // <<8>> - - // statistical errors of average 2-, 4-, 6- and 8-particle azimuthal correlations: - Double_t twoError = fIntFlowCorrelationsHist->GetBinError(1); // statistical error of <2> - Double_t fourError = fIntFlowCorrelationsHist->GetBinError(2); // statistical error of <4> - Double_t sixError = fIntFlowCorrelationsHist->GetBinError(3); // statistical error of <6> - Double_t eightError = fIntFlowCorrelationsHist->GetBinError(4); // statistical error of <8> - - // covariances (multiplied by prefactor depending on weights - see comments in CalculateCovariancesIntFlow()): - Double_t wCov24 = fIntFlowCovariances->GetBinContent(1); // Cov(<2>,<4>) * prefactor(w_<2>,w_<4>) - Double_t wCov26 = fIntFlowCovariances->GetBinContent(2); // Cov(<2>,<6>) * prefactor(w_<2>,w_<6>) - Double_t wCov28 = fIntFlowCovariances->GetBinContent(3); // Cov(<2>,<8>) * prefactor(w_<2>,w_<8>) - Double_t wCov46 = fIntFlowCovariances->GetBinContent(4); // Cov(<4>,<6>) * prefactor(w_<4>,w_<6>) - Double_t wCov48 = fIntFlowCovariances->GetBinContent(5); // Cov(<4>,<8>) * prefactor(w_<4>,w_<8>) - Double_t wCov68 = fIntFlowCovariances->GetBinContent(6); // Cov(<6>,<8>) * prefactor(w_<6>,w_<8>) - - // Q-cumulants: - Double_t qc2 = 0.; // QC{2} - Double_t qc4 = 0.; // QC{4} - Double_t qc6 = 0.; // QC{6} - Double_t qc8 = 0.; // QC{8} - if(two) qc2 = two; - if(four) qc4 = four-2.*pow(two,2.); - if(six) qc6 = six-9.*two*four+12.*pow(two,3.); - if(eight) qc8 = eight-16.*two*six-18.*pow(four,2.)+144.*pow(two,2.)*four-144.*pow(two,4.); - - // statistical errors of Q-cumulants: - Double_t qc2Error = 0.; - Double_t qc4Error = 0.; - Double_t qc6Error = 0.; - Double_t qc8Error = 0.; - - // squared statistical errors of Q-cumulants: - //Double_t qc2ErrorSquared = 0.; - Double_t qc4ErrorSquared = 0.; - Double_t qc6ErrorSquared = 0.; - Double_t qc8ErrorSquared = 0.; - - // statistical error of QC{2}: - qc2Error = twoError; - - // statistical error of QC{4}: - qc4ErrorSquared = 16.*pow(two,2.)*pow(twoError,2)+pow(fourError,2.) - - 8.*two*wCov24; - if(qc4ErrorSquared>=0.) - { - qc4Error = pow(qc4ErrorSquared,0.5); - } else - { - cout<<"WARNING: Statistical error of QC{4} is imaginary !!!!"<=0.) - { - qc6Error = pow(qc6ErrorSquared,0.5); - } else - { - cout<<"WARNING: Statistical error of QC{6} is imaginary !!!!"<=0.) - { - qc8Error = pow(qc8ErrorSquared,0.5); - } else - { - cout<<"WARNING: Statistical error of QC{8} is imaginary !!!!"<SetBinContent(1,qc2); - fIntFlowQcumulants->SetBinError(1,qc2Error); - fIntFlowQcumulants->SetBinContent(2,qc4); - fIntFlowQcumulants->SetBinError(2,qc4Error); - fIntFlowQcumulants->SetBinContent(3,qc6); - fIntFlowQcumulants->SetBinError(3,qc6Error); - fIntFlowQcumulants->SetBinContent(4,qc8); - fIntFlowQcumulants->SetBinError(4,qc8Error); - -} // end of AliFlowAnalysisWithQCumulants::CalculateCumulantsIntFlow() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateIntFlow() -{ - // a) Calculate the final results for integrated flow estimates from Q-cumulants. - // b) Propagate the statistical errors of measured multiparticle correlations to statistical errors of integrated flow estimates. - // c) Store the results and statistical errors of integrated flow estimates in histogram fIntFlow. - // Binning of fIntFlow is organized as follows: - // - // 1st bin: v{2,QC} - // 2nd bin: v{4,QC} - // 3rd bin: v{6,QC} - // 4th bin: v{8,QC} - - if(!(fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants && fIntFlow)) - { - cout<<"WARNING: fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants && fIntFlow is NULL in AFAWQC::CCIF() !!!!"<GetBinContent(1); // QC{2} - Double_t qc4 = fIntFlowQcumulants->GetBinContent(2); // QC{4} - Double_t qc6 = fIntFlowQcumulants->GetBinContent(3); // QC{6} - Double_t qc8 = fIntFlowQcumulants->GetBinContent(4); // QC{8} - - // correlations: - Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); // <<2>> - Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> - Double_t six = fIntFlowCorrelationsHist->GetBinContent(3); // <<6>> - Double_t eight = fIntFlowCorrelationsHist->GetBinContent(4); // <<8>> - - // statistical errors of average 2-, 4-, 6- and 8-particle azimuthal correlations: - Double_t twoError = fIntFlowCorrelationsHist->GetBinError(1); // statistical error of <2> - Double_t fourError = fIntFlowCorrelationsHist->GetBinError(2); // statistical error of <4> - Double_t sixError = fIntFlowCorrelationsHist->GetBinError(3); // statistical error of <6> - Double_t eightError = fIntFlowCorrelationsHist->GetBinError(4); // statistical error of <8> - - // covariances (multiplied by prefactor depending on weights - see comments in CalculateCovariancesIntFlow()): - Double_t wCov24 = fIntFlowCovariances->GetBinContent(1); // Cov(<2>,<4>) * prefactor(w_<2>,w_<4>) - Double_t wCov26 = fIntFlowCovariances->GetBinContent(2); // Cov(<2>,<6>) * prefactor(w_<2>,w_<6>) - Double_t wCov28 = fIntFlowCovariances->GetBinContent(3); // Cov(<2>,<8>) * prefactor(w_<2>,w_<8>) - Double_t wCov46 = fIntFlowCovariances->GetBinContent(4); // Cov(<4>,<6>) * prefactor(w_<4>,w_<6>) - Double_t wCov48 = fIntFlowCovariances->GetBinContent(5); // Cov(<4>,<8>) * prefactor(w_<4>,w_<8>) - Double_t wCov68 = fIntFlowCovariances->GetBinContent(6); // Cov(<6>,<8>) * prefactor(w_<6>,w_<8>) - - // integrated flow estimates: - Double_t v2 = 0.; // v{2,QC} - Double_t v4 = 0.; // v{4,QC} - Double_t v6 = 0.; // v{6,QC} - Double_t v8 = 0.; // v{8,QC} - - // calculate integrated flow estimates from Q-cumulants: - if(qc2>=0.) v2 = pow(qc2,1./2.); - if(qc4<=0.) v4 = pow(-1.*qc4,1./4.); - if(qc6>=0.) v6 = pow((1./4.)*qc6,1./6.); - if(qc8<=0.) v8 = pow((-1./33.)*qc8,1./8.); - - // statistical errors of integrated flow estimates: - Double_t v2Error = 0.; // statistical error of v{2,QC} - Double_t v4Error = 0.; // statistical error of v{4,QC} - Double_t v6Error = 0.; // statistical error of v{6,QC} - Double_t v8Error = 0.; // statistical error of v{8,QC} - - // squares of statistical errors of integrated flow estimates: - Double_t v2ErrorSquared = 0.; // squared statistical error of v{2,QC} - Double_t v4ErrorSquared = 0.; // squared statistical error of v{4,QC} - Double_t v6ErrorSquared = 0.; // squared statistical error of v{6,QC} - Double_t v8ErrorSquared = 0.; // squared statistical error of v{8,QC} - - // calculate squared statistical errors of integrated flow estimates: - if(two != 0.) - { - v2ErrorSquared = (1./(4.*two))*pow(twoError,2.); - } - if(2.*pow(two,2.)-four > 0.) - { - v4ErrorSquared = (1./pow(2.*pow(two,2.)-four,3./2.))* - (pow(two,2.)*pow(twoError,2.)+(1./16.)*pow(fourError,2.)-(1./2.)*two*wCov24); - } - if(six-9.*four*two+12.*pow(two,3.) > 0.) - { - v6ErrorSquared = ((1./2.)*(1./pow(2.,2./3.))*(1./pow(six-9.*four*two+12.*pow(two,3.),5./3.)))* - ((9./2.)*pow(4.*pow(two,2.)-four,2.)*pow(twoError,2.) - + (9./2.)*pow(two,2.)*pow(fourError,2.)+(1./18.)*pow(sixError,2.) - - 9.*two*(4.*pow(two,2.)-four)*wCov24+(4.*pow(two,2.)-four)*wCov26-two*wCov46); - } - if(-1.*eight+16.*six*two+18.*pow(four,2.)-144.*four*pow(two,2.)+144.*pow(two,4.) > 0.) - { - v8ErrorSquared = (4./pow(33,1./4.))*(1./pow(-1.*eight+16.*six*two+18.*pow(four,2.)-144.*four*pow(two,2.)+144.*pow(two,4.),7./4.))* - (pow(36.*pow(two,3.)-18.*four*two+six,2.)*pow(twoError,2.) - + (81./16.)*pow(4.*pow(two,2.)-four,2.)*pow(fourError,2.) - + pow(two,2.)*pow(sixError,2.) - + (1./256.)*pow(eightError,2.) - - (9./2.)*(36.*pow(two,3.)-18.*four*two+six)*(4.*pow(two,2.)-four)*wCov24 - + 2.*two*(36.*pow(two,3.)-18.*four*two+six)*wCov26 - - (1./8.)*(36.*pow(two,3.)-18.*four*two+six)*wCov28 - - (9./2.)*two*(4.*pow(two,2.)-four)*wCov46 - + (9./32.)*(4.*pow(two,2.)-four)*wCov48 - - (1./8.)*two*wCov68); - } - - // calculate statistical errors of integrated flow estimates: - if(v2ErrorSquared >= 0.) - { - v2Error = pow(v2ErrorSquared,0.5); - } else - { - cout<<"WARNING: Statistical error of v{2,QC} is imaginary !!!!"<= 0.) - { - v4Error = pow(v4ErrorSquared,0.5); - } else - { - cout<<"WARNING: Statistical error of v{4,QC} is imaginary !!!!"<= 0.) - { - v6Error = pow(v6ErrorSquared,0.5); - } else - { - cout<<"WARNING: Statistical error of v{6,QC} is imaginary !!!!"<= 0.) - { - v8Error = pow(v8ErrorSquared,0.5); - } else - { - cout<<"WARNING: Statistical error of v{8,QC} is imaginary !!!!"<SetBinContent(1,v2); - fIntFlow->SetBinError(1,v2Error); - fIntFlow->SetBinContent(2,v4); - fIntFlow->SetBinError(2,v4Error); - fIntFlow->SetBinContent(3,v6); - fIntFlow->SetBinError(3,v6Error); - fIntFlow->SetBinContent(4,v8); - fIntFlow->SetBinError(4,v8Error); - -} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlow() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::FillCommonHistResultsIntFlow() -{ - // Fill in AliFlowCommonHistResults histograms relevant for 'NONAME' integrated flow (to be improved (name)) - - if(!fIntFlow) - { - cout<<"WARNING: fIntFlow is NULL in AFAWQC::FCHRIF() !!!!"<GetBinContent(1); - Double_t v4 = fIntFlow->GetBinContent(2); - Double_t v6 = fIntFlow->GetBinContent(3); - Double_t v8 = fIntFlow->GetBinContent(4); - - Double_t v2Error = fIntFlow->GetBinError(1); - Double_t v4Error = fIntFlow->GetBinError(2); - Double_t v6Error = fIntFlow->GetBinError(3); - Double_t v8Error = fIntFlow->GetBinError(4); - - fCommonHistsResults2nd->FillIntegratedFlow(v2,v2Error); // to be improved (hardwired 2nd in the name) - fCommonHistsResults4th->FillIntegratedFlow(v4,v4Error); // to be improved (hardwired 4th in the name) - fCommonHistsResults6th->FillIntegratedFlow(v6,v6Error); // to be improved (hardwired 6th in the name) - fCommonHistsResults8th->FillIntegratedFlow(v8,v8Error); // to be improved (hardwired 8th in the name) - -} // end of AliFlowAnalysisWithQCumulants::FillCommonHistResultsIntFlow() - - -//================================================================================================================================ - - -/* -void AliFlowAnalysisWithQCumulants::ApplyCorrectionForNonUniformAcceptanceToCumulantsForIntFlow(Bool_t useParticleWeights, TString eventWeights) -{ - // apply correction for non-uniform acceptance to cumulants for integrated flow - // (Remark: non-corrected cumulants are accessed from fCumulants[pW][0], corrected cumulants are stored in fCumulants[pW][1]) - - // shortcuts for the flags: - Int_t pW = (Int_t)(useParticleWeights); // 0=pWeights not used, 1=pWeights used - Int_t eW = -1; - - if(eventWeights == "exact") - { - eW = 0; - } - - if(!(fCumulants[pW][eW][0] && fCumulants[pW][eW][1] && fCorrections[pW][eW])) - { - cout<<"WARNING: fCumulants[pW][eW][0] && fCumulants[pW][eW][1] && fCorrections[pW][eW] is NULL in AFAWQC::ACFNUATCFIF() !!!!"<GetBinContent(1)) - { - cout<<" QC{2,biased}/QC{2,corrected} = "<<(fCumulants[pW][eW][0]->GetBinContent(1))/(fCumulants[pW][eW][1]->GetBinContent(1))<GetBinContent(2)) - { - cout<<" QC{4,biased}/QC{4,corrected} = "<GetBinContent(2)/fCumulants[pW][eW][1]->GetBinContent(2)< - // 1: <4'> - - // multiplicity: - Double_t dMult = (*fSMpk)(0,0); - - // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - Double_t dReQ1n = (*fReQ)(0,0); - Double_t dReQ2n = (*fReQ)(1,0); - //Double_t dReQ3n = (*fReQ)(2,0); - //Double_t dReQ4n = (*fReQ)(3,0); - Double_t dImQ1n = (*fImQ)(0,0); - Double_t dImQ2n = (*fImQ)(1,0); - //Double_t dImQ3n = (*fImQ)(2,0); - //Double_t dImQ4n = (*fImQ)(3,0); - - // looping over all (pt,eta) bins and calculating correlations needed for differential flow: - for(Int_t p=1;p<=fnBinsPt;p++) - { - for(Int_t e=1;e<=fnBinsEta;e++) - { - // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular (pt,eta) bin): - Double_t p1n0kRe = 0.; - Double_t p1n0kIm = 0.; - - // number of POIs in particular (pt,eta) bin: - Double_t mp = 0.; - - // real and imaginary parts of q_{m*n,0} (non-weighted Q-vector evaluated for particles which are both RPs and POIs in particular (pt,eta) bin): - Double_t q1n0kRe = 0.; - Double_t q1n0kIm = 0.; - Double_t q2n0kRe = 0.; - Double_t q2n0kIm = 0.; - - // number of particles which are both RPs and POIs in particular (pt,eta) bin: - Double_t mq = 0.; - - // q_{m*n,0}: - q1n0kRe = fReEBE2D[2][0][0]->GetBinContent(fReEBE2D[2][0][0]->GetBin(p,e)) - * fReEBE2D[2][0][0]->GetBinEntries(fReEBE2D[2][0][0]->GetBin(p,e)); - q1n0kIm = fImEBE2D[2][0][0]->GetBinContent(fImEBE2D[2][0][0]->GetBin(p,e)) - * fImEBE2D[2][0][0]->GetBinEntries(fImEBE2D[2][0][0]->GetBin(p,e)); - q2n0kRe = fReEBE2D[2][1][0]->GetBinContent(fReEBE2D[2][1][0]->GetBin(p,e)) - * fReEBE2D[2][1][0]->GetBinEntries(fReEBE2D[2][1][0]->GetBin(p,e)); - q2n0kIm = fImEBE2D[2][1][0]->GetBinContent(fImEBE2D[2][1][0]->GetBin(p,e)) - * fImEBE2D[2][1][0]->GetBinEntries(fImEBE2D[2][1][0]->GetBin(p,e)); - - mq = fReEBE2D[2][0][0]->GetBinEntries(fReEBE2D[2][0][0]->GetBin(p,e)); // to be improved (cross-checked by accessing other profiles here) - - if(type == "POI") - { - // p_{m*n,0}: - p1n0kRe = fReEBE2D[1][0][0]->GetBinContent(fReEBE2D[1][0][0]->GetBin(p,e)) - * fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); - p1n0kIm = fImEBE2D[1][0][0]->GetBinContent(fImEBE2D[1][0][0]->GetBin(p,e)) - * fImEBE2D[1][0][0]->GetBinEntries(fImEBE2D[1][0][0]->GetBin(p,e)); - - mp = fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); // to be improved (cross-checked by accessing other profiles here) - - typeFlag = 1; - } - else if(type == "RP") - { - // p_{m*n,0} = q_{m*n,0}: - p1n0kRe = q1n0kRe; - p1n0kIm = q1n0kIm; - mp = mq; - - typeFlag = 0; - } - - // count events with non-empty (pt,eta) bin: - if(mp>0) - { - fNonEmptyBins2D[typeFlag]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,1); - } - - // 2'-particle correlation for particular (pt,eta) bin: - Double_t two1n1nPtEta = 0.; - if(mp*dMult-mq) - { - two1n1nPtEta = (p1n0kRe*dReQ1n+p1n0kIm*dImQ1n-mq) - / (mp*dMult-mq); - - // fill the 2D profile to get the average correlation for each (pt,eta) bin: - if(type == "POI") - { - //f2pPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); - - fCorrelationsPro[1][0][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); - } - else if(type == "RP") - { - //f2pPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); - fCorrelationsPro[0][0][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); - } - } // end of if(mp*dMult-mq) - - // 4'-particle correlation: - Double_t four1n1n1n1nPtEta = 0.; - if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) // to be improved (introduce a new variable for this expression) - { - four1n1n1n1nPtEta = ((pow(dReQ1n,2.)+pow(dImQ1n,2.))*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) - - q2n0kRe*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) - - 2.*q2n0kIm*dReQ1n*dImQ1n - - p1n0kRe*(dReQ1n*dReQ2n+dImQ1n*dImQ2n) - + p1n0kIm*(dImQ1n*dReQ2n-dReQ1n*dImQ2n) - - 2.*dMult*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) - - 2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*mq - + 6.*(q1n0kRe*dReQ1n+q1n0kIm*dImQ1n) - + 1.*(q2n0kRe*dReQ2n+q2n0kIm*dImQ2n) - + 2.*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) - + 2.*mq*dMult - - 6.*mq) - / ((mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - // fill the 2D profile to get the average correlation for each (pt, eta) bin: - if(type == "POI") - { - //f4pPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - // (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - // + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - fCorrelationsPro[1][0][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - } - else if(type == "RP") - { - //f4pPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - // (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - // + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - fCorrelationsPro[0][0][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, - (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - } - } // end of if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) - // +mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - - - - */ - - - -} // end of AliFlowAnalysisWithQCumulants::CalculateCorrelationsForDifferentialFlow2D() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateWeightedCorrelationsForDifferentialFlow2D(TString type) -{ - // calculate all weighted correlations needed for differential flow - - if(type == "RP") // to be improved (removed) - { - cout<GetBinContent(fReEBE2D[1][0][0]->GetBin(p,e)) - * fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); - p1n0kIm = fImEBE2D[1][0][0]->GetBinContent(fImEBE2D[1][0][0]->GetBin(p,e)) - * fImEBE2D[1][0][0]->GetBinEntries(fImEBE2D[1][0][0]->GetBin(p,e)); - - mp = fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); - - // q_{m*n,k}: - q1n2kRe = fReEBE2D[2][0][2]->GetBinContent(fReEBE2D[2][0][2]->GetBin(p,e)) - * fReEBE2D[2][0][2]->GetBinEntries(fReEBE2D[2][0][2]->GetBin(p,e)); - q1n2kIm = fImEBE2D[2][0][2]->GetBinContent(fImEBE2D[2][0][2]->GetBin(p,e)) - * fImEBE2D[2][0][2]->GetBinEntries(fImEBE2D[2][0][2]->GetBin(p,e)); - q2n1kRe = fReEBE2D[2][1][1]->GetBinContent(fReEBE2D[2][1][1]->GetBin(p,e)) - * fReEBE2D[2][1][1]->GetBinEntries(fReEBE2D[2][1][1]->GetBin(p,e)); - q2n1kIm = fImEBE2D[2][1][1]->GetBinContent(fImEBE2D[2][1][1]->GetBin(p,e)) - * fImEBE2D[2][1][1]->GetBinEntries(fImEBE2D[2][1][1]->GetBin(p,e)); - - // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) - s1p1k = pow(fs2D[2][1]->GetBinContent(fs2D[2][1]->GetBin(p,e)),1.); - s1p2k = pow(fs2D[2][2]->GetBinContent(fs2D[2][2]->GetBin(p,e)),1.); - s1p3k = pow(fs2D[2][3]->GetBinContent(fs2D[2][3]->GetBin(p,e)),1.); - - // M0111 from Eq. (118) in QC2c (to be improved (notation)): - dM0111 = mp*(dSM3p1k-3.*dSM1p1k*dSM1p2k+2.*dSM1p3k) - - 3.*(s1p1k*(dSM2p1k-dSM1p2k) - + 2.*(s1p3k-s1p2k*dSM1p1k)); - } - else if(type == "RP") - { - p1n0kRe = fReEBE2D[0][0][0]->GetBinContent(fReEBE2D[0][0][0]->GetBin(p,e)) - * fReEBE2D[0][0][0]->GetBinEntries(fReEBE2D[0][0][0]->GetBin(p,e)); - p1n0kIm = fImEBE2D[0][0][0]->GetBinContent(fImEBE2D[0][0][0]->GetBin(p,e)) - * fImEBE2D[0][0][0]->GetBinEntries(fImEBE2D[0][0][0]->GetBin(p,e)); - - mp = fReEBE2D[0][0][0]->GetBinEntries(fReEBE2D[0][0][0]->GetBin(p,e)); - - // q_{m*n,k}: - q1n2kRe = fReEBE2D[0][0][2]->GetBinContent(fReEBE2D[0][0][2]->GetBin(p,e)) - * fReEBE2D[0][0][2]->GetBinEntries(fReEBE2D[0][0][2]->GetBin(p,e)); - q1n2kIm = fImEBE2D[0][0][2]->GetBinContent(fImEBE2D[0][0][2]->GetBin(p,e)) - * fImEBE2D[0][0][2]->GetBinEntries(fImEBE2D[0][0][2]->GetBin(p,e)); - q2n1kRe = fReEBE2D[0][1][1]->GetBinContent(fReEBE2D[0][1][1]->GetBin(p,e)) - * fReEBE2D[0][1][1]->GetBinEntries(fReEBE2D[0][1][1]->GetBin(p,e)); - q2n1kIm = fImEBE2D[0][1][1]->GetBinContent(fImEBE2D[0][1][1]->GetBin(p,e)) - * fImEBE2D[0][1][1]->GetBinEntries(fImEBE2D[0][1][1]->GetBin(p,e)); - - // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) - s1p1k = pow(fs2D[0][1]->GetBinContent(fs2D[0][1]->GetBin(p,e)),1.); - s1p2k = pow(fs2D[0][2]->GetBinContent(fs2D[0][2]->GetBin(p,e)),1.); - s1p3k = pow(fs2D[0][3]->GetBinContent(fs2D[0][3]->GetBin(p,e)),1.); - - // M0111 from Eq. (118) in QC2c (to be improved (notation)): - dM0111 = mp*(dSM3p1k-3.*dSM1p1k*dSM1p2k+2.*dSM1p3k) - - 3.*(s1p1k*(dSM2p1k-dSM1p2k) - + 2.*(s1p3k-s1p2k*dSM1p1k)); - //............................................................................................... - } - - // 2'-particle correlation: - Double_t two1n1nW0W1PtEta = 0.; - if(mp*dSM1p1k-s1p1k) - { - two1n1nW0W1PtEta = (p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k-s1p1k) - / (mp*dSM1p1k-s1p1k); - - // fill the 2D profile to get the average correlation for each (pt, eta) bin: - if(type == "POI") - { - //f2pPtEtaPOIW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta, - // mp*dSM1p1k-s1p1k); - fCorrelationsPro[1][1][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta,mp*dSM1p1k-s1p1k); - } - else if(type == "RP") - { - //f2pPtEtaRPW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta, - // mp*dSM1p1k-s1p1k); - fCorrelationsPro[0][1][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta,mp*dSM1p1k-s1p1k); - } - } // end of if(mp*dMult-dmPrimePrimePtEta) - - // 4'-particle correlation: - Double_t four1n1n1n1nW0W1W1W1PtEta = 0.; - if(dM0111) - { - four1n1n1n1nW0W1W1W1PtEta = ((pow(dReQ1n1k,2.)+pow(dImQ1n1k,2.))*(p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k) - - q2n1kRe*(pow(dReQ1n1k,2.)-pow(dImQ1n1k,2.)) - - 2.*q2n1kIm*dReQ1n1k*dImQ1n1k - - p1n0kRe*(dReQ1n1k*dReQ2n2k+dImQ1n1k*dImQ2n2k) - + p1n0kIm*(dImQ1n1k*dReQ2n2k-dReQ1n1k*dImQ2n2k) - - 2.*dSM1p2k*(p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k) - - 2.*(pow(dReQ1n1k,2.)+pow(dImQ1n1k,2.))*s1p1k - + 6.*(q1n2kRe*dReQ1n1k+q1n2kIm*dImQ1n1k) - + 1.*(q2n1kRe*dReQ2n2k+q2n1kIm*dImQ2n2k) - + 2.*(p1n0kRe*dReQ1n3k+p1n0kIm*dImQ1n3k) - + 2.*s1p1k*dSM1p2k - - 6.*s1p3k) - / dM0111; // to be imropoved (notation of dM0111) - - // fill the 2D profile to get the average correlation for each (pt, eta) bin: - if(type == "POI") - { - //f4pPtEtaPOIW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); - fCorrelationsPro[1][1][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); - } - else if(type == "RP") - { - //f4pPtEtaRPW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); - fCorrelationsPro[0][1][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); - } - } // end of if(dM0111) - - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - - - */ - - -} // end of AliFlowAnalysisWithQCumulants::CalculateWeightedCorrelationsForDifferentialFlow2D(TString type) - - -//================================================================================================================================ - - -/* -void AliFlowAnalysisWithQCumulants::FinalizeCorrelationsForDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights) -{ - // 1.) Access average for 2D correlations from profiles and store them in 2D final results histograms; - // 2.) Access spread for 2D correlations from profiles, calculate error and store it in 2D final results histograms; - // 3.) Make projections along pt and eta axis and store results and errors in 1D final results histograms. - - Int_t typeFlag = -1; - Int_t pWeightsFlag = -1; - Int_t eWeightsFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } else - { - cout<<"WARNING: type must be either RP or POI in AFAWQC::FCFDF() !!!!"<GetBinContent(fNonEmptyBins2D[t]->GetBin(p,e))); - } - fNonEmptyBins1D[t][0]->SetBinContent(p,contentPt); - } - // eta: - for(Int_t e=1;eGetBinContent(fNonEmptyBins2D[t]->GetBin(p,e))); - } - fNonEmptyBins1D[t][1]->SetBinContent(e,contentEta); - } - - // from 2D profile in (pt,eta) make two 1D profiles in (pt) and (eta): - TProfile *profile[2][4]; // [0=pt,1=eta][correlation index] // to be improved (do not hardwire the correlation index) - - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t ci=0;ci<4;ci++) // correlation index - { - if(pe==0) profile[pe][ci] = this->MakePtProjection(fCorrelationsPro[t][pW][eW][ci]); - if(pe==1) profile[pe][ci] = this->MakeEtaProjection(fCorrelationsPro[t][pW][eW][ci]); - } - } - - // transfer 2D profile into 2D histogram: - // to be improved (see in documentation if there is a method to transfer values from 2D profile into 2D histogram) - for(Int_t ci=0;ci<4;ci++) - { - for(Int_t p=1;p<=fnBinsPt;p++) - { - for(Int_t e=1;e<=fnBinsEta;e++) - { - Double_t correlation = fCorrelationsPro[t][pW][eW][ci]->GetBinContent(fCorrelationsPro[t][pW][eW][ci]->GetBin(p,e)); - Double_t spread = fCorrelationsPro[t][pW][eW][ci]->GetBinError(fCorrelationsPro[t][pW][eW][ci]->GetBin(p,e)); - Double_t nEvts = fNonEmptyBins2D[t]->GetBinContent(fNonEmptyBins2D[t]->GetBin(p,e)); - Double_t error = 0.; - fFinalCorrelations2D[t][pW][eW][ci]->SetBinContent(fFinalCorrelations2D[t][pW][eW][ci]->GetBin(p,e),correlation); - if(nEvts>0) - { - error = spread/pow(nEvts,0.5); - fFinalCorrelations2D[t][pW][eW][ci]->SetBinError(fFinalCorrelations2D[t][pW][eW][ci]->GetBin(p,e),error); - } - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - } // end of for(Int_t ci=0;ci<4;ci++) - - // transfer 1D profile into 1D histogram (pt): - // to be improved (see in documentation if there is a method to transfer values from 1D profile into 1D histogram) - for(Int_t ci=0;ci<4;ci++) - { - for(Int_t p=1;p<=fnBinsPt;p++) - { - if(profile[0][ci]) - { - Double_t correlation = profile[0][ci]->GetBinContent(p); - Double_t spread = profile[0][ci]->GetBinError(p); - Double_t nEvts = fNonEmptyBins1D[t][0]->GetBinContent(p); - Double_t error = 0.; - fFinalCorrelations1D[t][pW][eW][0][ci]->SetBinContent(p,correlation); - if(nEvts>0) - { - error = spread/pow(nEvts,0.5); - fFinalCorrelations1D[t][pW][eW][0][ci]->SetBinError(p,error); - } - } - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - } // end of for(Int_t ci=0;ci<4;ci++) - - // transfer 1D profile into 1D histogram (eta): - // to be improved (see in documentation if there is a method to transfer values from 1D profile into 1D histogram) - for(Int_t ci=0;ci<4;ci++) - { - for(Int_t e=1;e<=fnBinsEta;e++) - { - if(profile[1][ci]) - { - Double_t correlation = profile[1][ci]->GetBinContent(e); - fFinalCorrelations1D[t][pW][eW][1][ci]->SetBinContent(e,correlation); - } - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t ci=0;ci<4;ci++) - -} // end of void AliFlowAnalysisWithQCumulants::FinalizeCorrelationsForDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights) -*/ - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCumulants(TString type, TString ptOrEta) -{ - // calcualate cumulants for differential flow from measured correlations - // Remark: cumulants calculated here are NOT corrected for non-uniform acceptance. This correction is applied in the method ... - // to be improved (description) - - Int_t typeFlag = -1; - Int_t ptEtaFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } - - if(ptOrEta == "Pt") - { - ptEtaFlag = 0; - } else if(ptOrEta == "Eta") - { - ptEtaFlag = 1; - } - - // shortcuts: - Int_t t = typeFlag; - Int_t pe = ptEtaFlag; - - // common: - Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; - - // correlation <<2>>: - Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); - - // 1D: - for(Int_t b=1;b<=nBinsPtEta[pe];b++) - { - // reduced correlations: - Double_t twoPrime = fDiffFlowCorrelationsHist[t][pe][0]->GetBinContent(b); // <<2'>>(pt) - Double_t fourPrime = fDiffFlowCorrelationsHist[t][pe][1]->GetBinContent(b); // <<4'>>(pt) - // final statistical error of reduced correlations: - //Double_t twoPrimeError = fFinalCorrelations1D[t][pW][eW][0][0]->GetBinError(p); - // QC{2'}: - Double_t qc2Prime = twoPrime; // QC{2'} - //Double_t qc2PrimeError = twoPrimeError; // final stat. error of QC{2'} - fDiffFlowCumulants[t][pe][0]->SetBinContent(b,qc2Prime); - //fFinalCumulantsPt[t][pW][eW][nua][0]->SetBinError(p,qc2PrimeError); - // QC{4'}: - Double_t qc4Prime = fourPrime - 2.*twoPrime*two; // QC{4'} = <<4'>> - 2*<<2'>><<2>> - fDiffFlowCumulants[t][pe][1]->SetBinContent(b,qc4Prime); - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - - - /* - // 2D (pt,eta): - // to be improved (see documentation if I can do all this without looping) - for(Int_t p=1;p<=fnBinsPt;p++) - { - for(Int_t e=1;e<=fnBinsEta;e++) - { - // reduced correlations: - Double_t twoPrime = fFinalCorrelations2D[t][pW][eW][0]->GetBinContent(fFinalCorrelations2D[t][pW][eW][0]->GetBin(p,e)); // <<2'>>(pt,eta) - Double_t fourPrime = fFinalCorrelations2D[t][pW][eW][1]->GetBinContent(fFinalCorrelations2D[t][pW][eW][1]->GetBin(p,e)); // <<4'>>(pt,eta) - for(Int_t nua=0;nua<2;nua++) - { - // QC{2'}: - Double_t qc2Prime = twoPrime; // QC{2'} = <<2'>> - fFinalCumulants2D[t][pW][eW][nua][0]->SetBinContent(fFinalCumulants2D[t][pW][eW][nua][0]->GetBin(p,e),qc2Prime); - // QC{4'}: - Double_t qc4Prime = fourPrime - 2.*twoPrime*two; // QC{4'} = <<4'>> - 2*<<2'>><<2>> - fFinalCumulants2D[t][pW][eW][nua][1]->SetBinContent(fFinalCumulants2D[t][pW][eW][nua][1]->GetBin(p,e),qc4Prime); - } // end of for(Int_t nua=0;nua<2;nua++) - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - */ - -} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCumulants(TString type, Bool_t useParticleWeights, TString eventWeights); - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateFinalResultsForRPandPOIIntegratedFlow(TString type) -{ - // calculate final results for integrated flow of RPs and POIs - - Int_t typeFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } else - { - cout<<"WARNING: type must be either RP or POI in AFAWQC::CDF() !!!!"<GetHistPtPOI())->Clone(); - yield4thPt = (TH1F*)(fCommonHists4th->GetHistPtPOI())->Clone(); - yield6thPt = (TH1F*)(fCommonHists6th->GetHistPtPOI())->Clone(); - yield8thPt = (TH1F*)(fCommonHists8th->GetHistPtPOI())->Clone(); - } - else if(type == "RP") - { - yield2ndPt = (TH1F*)(fCommonHists2nd->GetHistPtRP())->Clone(); - yield4thPt = (TH1F*)(fCommonHists4th->GetHistPtRP())->Clone(); - yield6thPt = (TH1F*)(fCommonHists6th->GetHistPtRP())->Clone(); - yield8thPt = (TH1F*)(fCommonHists8th->GetHistPtRP())->Clone(); - } - - Int_t nBinsPt = yield2ndPt->GetNbinsX(); - - TH1D *flow2ndPt = NULL; - TH1D *flow4thPt = NULL; - TH1D *flow6thPt = NULL; - TH1D *flow8thPt = NULL; - - // to be improved (hardwired pt index) - flow2ndPt = (TH1D*)fDiffFlow[t][0][0]->Clone(); - flow4thPt = (TH1D*)fDiffFlow[t][0][1]->Clone(); - flow6thPt = (TH1D*)fDiffFlow[t][0][2]->Clone(); - flow8thPt = (TH1D*)fDiffFlow[t][0][3]->Clone(); - - Double_t dvn2nd = 0., dvn4th = 0., dvn6th = 0., dvn8th = 0.; // differential flow - Double_t dErrvn2nd = 0., dErrvn4th = 0., dErrvn6th = 0., dErrvn8th = 0.; // error on differential flow - - Double_t dVn2nd = 0., dVn4th = 0., dVn6th = 0., dVn8th = 0.; // integrated flow - Double_t dErrVn2nd = 0., dErrVn4th = 0., dErrVn6th = 0., dErrVn8th = 0.; // error on integrated flow - - Double_t dYield2nd = 0., dYield4th = 0., dYield6th = 0., dYield8th = 0.; // pt yield - Double_t dSum2nd = 0., dSum4th = 0., dSum6th = 0., dSum8th = 0.; // needed for normalizing integrated flow - - // looping over pt bins: - for(Int_t p=1;pGetBinContent(p); - dvn4th = flow4thPt->GetBinContent(p); - dvn6th = flow6thPt->GetBinContent(p); - dvn8th = flow8thPt->GetBinContent(p); - - dErrvn2nd = flow2ndPt->GetBinError(p); - dErrvn4th = flow4thPt->GetBinError(p); - dErrvn6th = flow6thPt->GetBinError(p); - dErrvn8th = flow8thPt->GetBinError(p); - - dYield2nd = yield2ndPt->GetBinContent(p); - dYield4th = yield4thPt->GetBinContent(p); - dYield6th = yield6thPt->GetBinContent(p); - dYield8th = yield8thPt->GetBinContent(p); - - dVn2nd += dvn2nd*dYield2nd; - dVn4th += dvn4th*dYield4th; - dVn6th += dvn6th*dYield6th; - dVn8th += dvn8th*dYield8th; - - dSum2nd += dYield2nd; - dSum4th += dYield4th; - dSum6th += dYield6th; - dSum8th += dYield8th; - - dErrVn2nd += dYield2nd*dYield2nd*dErrvn2nd*dErrvn2nd; // ro be improved (check this relation) - dErrVn4th += dYield4th*dYield4th*dErrvn4th*dErrvn4th; - dErrVn6th += dYield6th*dYield6th*dErrvn6th*dErrvn6th; - dErrVn8th += dYield8th*dYield8th*dErrvn8th*dErrvn8th; - - } // end of for(Int_t p=1;pFillIntegratedFlowPOI(dVn2nd,dErrVn2nd); - fCommonHistsResults4th->FillIntegratedFlowPOI(dVn4th,dErrVn4th); - fCommonHistsResults6th->FillIntegratedFlowPOI(dVn6th,0.); // to be improved (errors) - fCommonHistsResults8th->FillIntegratedFlowPOI(dVn8th,0.); // to be improved (errors) - } - else if (type == "RP") - { - fCommonHistsResults2nd->FillIntegratedFlowRP(dVn2nd,dErrVn2nd); - fCommonHistsResults4th->FillIntegratedFlowRP(dVn4th,dErrVn4th); - fCommonHistsResults6th->FillIntegratedFlowRP(dVn6th,0.); // to be improved (errors) - fCommonHistsResults8th->FillIntegratedFlowRP(dVn8th,0.); // to be improved (errors) - } - - delete flow2ndPt; - delete flow4thPt; - //delete flow6thPt; - //delete flow8thPt; - - delete yield2ndPt; - delete yield4thPt; - delete yield6thPt; - delete yield8thPt; - -} // end of AliFlowAnalysisWithQCumulants::CalculateFinalResultsForRPandPOIIntegratedFlow(TString type) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::InitializeArraysForDistributions() -{ - // initialize arrays used for distributions: - - /* - - for(Int_t pW=0;pW<2;pW++) // particle weights not used (0) or used (1) - { - for(Int_t eW=0;eW<2;eW++) - { - for(Int_t di=0;di<4;di++) // distribution index - { - fDistributions[pW][eW][di] = NULL; - } - } - } - - */ - -} // end of void AliFlowAnalysisWithQCumulants::InitializeArraysForDistributions() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::BookEverythingForDistributions() -{ - // book all histograms for distributions - - /* - //weighted <2>_{n|n} distribution - f2pDistribution = new TH1D("f2pDistribution","<2>_{n|n} distribution",100000,-0.02,0.1); - f2pDistribution->SetXTitle("<2>_{n|n}"); - f2pDistribution->SetYTitle("Counts"); - fHistList->Add(f2pDistribution); - - //weighted <4>_{n,n|n,n} distribution - f4pDistribution = new TH1D("f4pDistribution","<4>_{n,n|n,n} distribution",100000,-0.00025,0.002); - f4pDistribution->SetXTitle("<4>_{n,n|n,n}"); - f4pDistribution->SetYTitle("Counts"); - fHistList->Add(f4pDistribution); - - //weighted <6>_{n,n,n|n,n,n} distribution - f6pDistribution = new TH1D("f6pDistribution","<6>_{n,n,n|n,n,n} distribution",100000,-0.000005,0.000025); - f6pDistribution->SetXTitle("<6>_{n,n,n|n,n,n}"); - f6pDistribution->SetYTitle("Counts"); - fHistList->Add(f6pDistribution); - - //weighted <8>_{n,n,n,n|n,n,n,n} distribution - f8pDistribution = new TH1D("f8pDistribution","<8>_{n,n,n,n|n,n,n,n} distribution",100000,-0.000000001,0.00000001); - f8pDistribution->SetXTitle("<8>_{n,n,n,n|n,n,n,n}"); - f8pDistribution->SetYTitle("Counts"); - fHistList->Add(f8pDistribution); - */ - -} // end of void AliFlowAnalysisWithQCumulants::BookEverythingForDistributions() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::BookAndNestAllLists() -{ - // Book and nest all lists nested in the base list fHistList. - // a) Book and nest lists for integrated flow; - // b) Book and nest lists for differential flow; - // c) Book and nest list for particle weights; - // d) Book and nest list for distributions; - // e) Book and nest list for nested loops; - - // a) Book and nest all lists for integrated flow: - // base list for integrated flow: - fIntFlowList = new TList(); - fIntFlowList->SetName("Integrated Flow"); - fIntFlowList->SetOwner(kTRUE); - fHistList->Add(fIntFlowList); - // list holding profiles: - fIntFlowProfiles = new TList(); - fIntFlowProfiles->SetName("Profiles"); - fIntFlowProfiles->SetOwner(kTRUE); - fIntFlowList->Add(fIntFlowProfiles); - // list holding histograms with results: - fIntFlowResults = new TList(); - fIntFlowResults->SetName("Results"); - fIntFlowResults->SetOwner(kTRUE); - fIntFlowList->Add(fIntFlowResults); - - // b) Book and nest lists for differential flow; - fDiffFlowList = new TList(); - fDiffFlowList->SetName("Differential Flow"); - fDiffFlowList->SetOwner(kTRUE); - fHistList->Add(fDiffFlowList); - // list holding profiles: - fDiffFlowProfiles = new TList(); - fDiffFlowProfiles->SetName("Profiles"); - fDiffFlowProfiles->SetOwner(kTRUE); - fDiffFlowList->Add(fDiffFlowProfiles); - // list holding histograms with results: - fDiffFlowResults = new TList(); - fDiffFlowResults->SetName("Results"); - fDiffFlowResults->SetOwner(kTRUE); - fDiffFlowList->Add(fDiffFlowResults); - // flags used for naming nested lists in list fDiffFlowProfiles and fDiffFlowResults: - TList list; - list.SetOwner(kTRUE); - TString typeFlag[2] = {"RP","POI"}; - TString ptEtaFlag[2] = {"p_{T}","#eta"}; - TString powerFlag[2] = {"linear","quadratic"}; - // nested lists in fDiffFlowProfiles (~/Differential Flow/Profiles): - for(Int_t t=0;t<2;t++) // type: RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - // list holding profiles with correlations: - fDiffFlowCorrelationsProList[t][pe] = (TList*)list.Clone(); - fDiffFlowCorrelationsProList[t][pe]->SetName(Form("Profiles with correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowProfiles->Add(fDiffFlowCorrelationsProList[t][pe]); - // list holding profiles with products of correlations: - fDiffFlowProductOfCorrelationsProList[t][pe] = (TList*)list.Clone(); - fDiffFlowProductOfCorrelationsProList[t][pe]->SetName(Form("Profiles with products of correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowProfiles->Add(fDiffFlowProductOfCorrelationsProList[t][pe]); - // list holding profiles with correlations: - fDiffFlowCorrectionsProList[t][pe] = (TList*)list.Clone(); - fDiffFlowCorrectionsProList[t][pe]->SetName(Form("Profiles with correction terms for NUA (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowProfiles->Add(fDiffFlowCorrectionsProList[t][pe]); - } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta - } // end of for(Int_t t=0;t<2;t++) // type: RP or POI - // nested lists in fDiffFlowResults (~/Differential Flow/Results): - for(Int_t t=0;t<2;t++) // type: RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - // list holding histograms with correlations: - fDiffFlowCorrelationsHistList[t][pe] = (TList*)list.Clone(); - fDiffFlowCorrelationsHistList[t][pe]->SetName(Form("Correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowResults->Add(fDiffFlowCorrelationsHistList[t][pe]); - for(Int_t power=0;power<2;power++) - { - // list holding histograms with sums of event weights: - fDiffFlowSumOfEventWeightsHistList[t][pe][power] = (TList*)list.Clone(); - fDiffFlowSumOfEventWeightsHistList[t][pe][power]->SetName(Form("Sum of %s event weights (%s, %s)",powerFlag[power].Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowResults->Add(fDiffFlowSumOfEventWeightsHistList[t][pe][power]); - } // end of for(Int_t power=0;power<2;power++) - // list holding histograms with sums of products of event weights: - fDiffFlowSumOfProductOfEventWeightsHistList[t][pe] = (TList*)list.Clone(); - fDiffFlowSumOfProductOfEventWeightsHistList[t][pe]->SetName(Form("Sum of products of event weights (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowResults->Add(fDiffFlowSumOfProductOfEventWeightsHistList[t][pe]); - // list holding histograms with covariances of correlations: - fDiffFlowCovariancesHistList[t][pe] = (TList*)list.Clone(); - fDiffFlowCovariancesHistList[t][pe]->SetName(Form("Covariances of correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowResults->Add(fDiffFlowCovariancesHistList[t][pe]); - // list holding histograms with differential Q-cumulants: - fDiffFlowCumulantsHistList[t][pe] = (TList*)list.Clone(); - fDiffFlowCumulantsHistList[t][pe]->SetName(Form("Differential Q-cumulants (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowResults->Add(fDiffFlowCumulantsHistList[t][pe]); - // list holding histograms with differential flow estimates from Q-cumulants: - fDiffFlowHistList[t][pe] = (TList*)list.Clone(); - fDiffFlowHistList[t][pe]->SetName(Form("Differential flow (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); - fDiffFlowResults->Add(fDiffFlowHistList[t][pe]); - } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta - } // end of for(Int_t t=0;t<2;t++) // type: RP or POI - - // c) Book and nest list for particle weights: - fWeightsList->SetName("Weights"); - fWeightsList->SetOwner(kTRUE); - fHistList->Add(fWeightsList); - - // d) Book and nest list for distributions: - fDistributionsList = new TList(); - fDistributionsList->SetName("Distributions"); - fDistributionsList->SetOwner(kTRUE); - fHistList->Add(fDistributionsList); - - // e) Book and nest list for nested loops: - fNestedLoopsList = new TList(); - fNestedLoopsList->SetName("Nested Loops"); - fNestedLoopsList->SetOwner(kTRUE); - fHistList->Add(fNestedLoopsList); - -} // end of void AliFlowAnalysisWithQCumulants::BookAndNestAllLists() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::FillCommonHistResultsDiffFlow(TString type) -{ - // fill common result histograms for differential flow - - Int_t typeFlag = -1; - //Int_t ptEtaFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } - - // shortcuts: - Int_t t = typeFlag; - //Int_t pe = ptEtaFlag; - - // to be improved (implement protection here) - - if(!(fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th)) - { - cout<<"WARNING: fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th"<GetBinContent(p); - Double_t v4 = fDiffFlow[t][0][1]->GetBinContent(p); - Double_t v6 = fDiffFlow[t][0][2]->GetBinContent(p); - Double_t v8 = fDiffFlow[t][0][3]->GetBinContent(p); - - Double_t v2Error = fDiffFlow[t][0][0]->GetBinError(p); - Double_t v4Error = fDiffFlow[t][0][1]->GetBinError(p); - //Double_t v6Error = fFinalFlow1D[t][pW][nua][0][2]->GetBinError(p); - //Double_t v8Error = fFinalFlow1D[t][pW][nua][0][3]->GetBinError(p); - - if(type == "RP") - { - fCommonHistsResults2nd->FillDifferentialFlowPtRP(p,v2,v2Error); - fCommonHistsResults4th->FillDifferentialFlowPtRP(p,v4,v4Error); - fCommonHistsResults6th->FillDifferentialFlowPtRP(p,v6,0.); - fCommonHistsResults8th->FillDifferentialFlowPtRP(p,v8,0.); - } else if(type == "POI") - { - fCommonHistsResults2nd->FillDifferentialFlowPtPOI(p,v2,v2Error); - fCommonHistsResults4th->FillDifferentialFlowPtPOI(p,v4,v4Error); - fCommonHistsResults6th->FillDifferentialFlowPtPOI(p,v6,0.); - fCommonHistsResults8th->FillDifferentialFlowPtPOI(p,v8,0.); - } - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - - // eta: - for(Int_t e=1;e<=fnBinsEta;e++) - { - Double_t v2 = fDiffFlow[t][1][0]->GetBinContent(e); - Double_t v4 = fDiffFlow[t][1][1]->GetBinContent(e); - Double_t v6 = fDiffFlow[t][1][2]->GetBinContent(e); - Double_t v8 = fDiffFlow[t][1][3]->GetBinContent(e); - - Double_t v2Error = fDiffFlow[t][1][0]->GetBinError(e); - Double_t v4Error = fDiffFlow[t][1][1]->GetBinError(e); - //Double_t v6Error = fDiffFlow[t][1][2]->GetBinError(e); - //Double_t v8Error = fDiffFlow[t][1][3]->GetBinError(e); - - if(type == "RP") - { - fCommonHistsResults2nd->FillDifferentialFlowEtaRP(e,v2,v2Error); - fCommonHistsResults4th->FillDifferentialFlowEtaRP(e,v4,v4Error); - fCommonHistsResults6th->FillDifferentialFlowEtaRP(e,v6,0.); - fCommonHistsResults8th->FillDifferentialFlowEtaRP(e,v8,0.); - } else if(type == "POI") - { - fCommonHistsResults2nd->FillDifferentialFlowEtaPOI(e,v2,v2Error); - fCommonHistsResults4th->FillDifferentialFlowEtaPOI(e,v4,v4Error); - fCommonHistsResults6th->FillDifferentialFlowEtaPOI(e,v6,0.); - fCommonHistsResults8th->FillDifferentialFlowEtaPOI(e,v8,0.); - } - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - -} // end of void AliFlowAnalysisWithQCumulants::FillCommonHistResultsDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights, Bool_t correctedForNUA) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::AccessConstants() -{ - // access needed common constants from AliFlowCommonConstants - - fnBinsPhi = AliFlowCommonConstants::GetNbinsPhi(); - fPhiMin = AliFlowCommonConstants::GetPhiMin(); - fPhiMax = AliFlowCommonConstants::GetPhiMax(); - if(fnBinsPhi) fPhiBinWidth = (fPhiMax-fPhiMin)/fnBinsPhi; - fnBinsPt = AliFlowCommonConstants::GetNbinsPt(); - fPtMin = AliFlowCommonConstants::GetPtMin(); - fPtMax = AliFlowCommonConstants::GetPtMax(); - if(fnBinsPt) fPtBinWidth = (fPtMax-fPtMin)/fnBinsPt; - fnBinsEta = AliFlowCommonConstants::GetNbinsEta(); - fEtaMin = AliFlowCommonConstants::GetEtaMin(); - fEtaMax = AliFlowCommonConstants::GetEtaMax(); - if(fnBinsEta) fEtaBinWidth = (fEtaMax-fEtaMin)/fnBinsEta; - -} // end of void AliFlowAnalysisWithQCumulants::AccessConstants() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfEventWeights() -{ - // Calculate sum of linear and quadratic event weights for correlations - - Double_t dMult = (*fSMpk)(0,0); // multiplicity - - Double_t eventWeight[4] = {0}; - eventWeight[0] = dMult*(dMult-1); // event weight for <2> - eventWeight[1] = dMult*(dMult-1)*(dMult-2)*(dMult-3); // event weight for <4> - eventWeight[2] = dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5); // event weight for <6> - eventWeight[3] = dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)*(dMult-6)*(dMult-7); // event weight for <8> - - for(Int_t p=0;p<2;p++) // power-1 - { - for(Int_t ci=0;ci<4;ci++) // correlation index - { - fIntFlowSumOfEventWeights[p]->Fill(ci+0.5,pow(eventWeight[ci],p+1)); - } - } - -} // end of void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfEventWeights() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfProductOfEventWeights() -{ - // Calculate sum of product of event weights for correlations - - Double_t dMult = (*fSMpk)(0,0); // multiplicity - - Double_t eventWeight[4] = {0}; - eventWeight[0] = dMult*(dMult-1); // event weight for <2> - eventWeight[1] = dMult*(dMult-1)*(dMult-2)*(dMult-3); // event weight for <4> - eventWeight[2] = dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5); // event weight for <6> - eventWeight[3] = dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)*(dMult-6)*(dMult-7); // event weight for <8> - - fIntFlowSumOfProductOfEventWeights->Fill(0.5,eventWeight[0]*eventWeight[1]); - fIntFlowSumOfProductOfEventWeights->Fill(1.5,eventWeight[0]*eventWeight[2]); - fIntFlowSumOfProductOfEventWeights->Fill(2.5,eventWeight[0]*eventWeight[3]); - fIntFlowSumOfProductOfEventWeights->Fill(3.5,eventWeight[1]*eventWeight[2]); - fIntFlowSumOfProductOfEventWeights->Fill(4.5,eventWeight[1]*eventWeight[3]); - fIntFlowSumOfProductOfEventWeights->Fill(5.5,eventWeight[2]*eventWeight[3]); - -} // end of void AliFlowAnalysisWithQCumulants::CalculateIntFlowIntFlowSumOfProductOfEventWeights() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateReducedCorrelations1D(TString type, TString ptOrEta) -{ - // calculate reduced correlations for RPs or POIs in pt or eta bins - - // multiplicity: - Double_t dMult = (*fSMpk)(0,0); - - // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: - Double_t dReQ1n = (*fReQ)(0,0); - Double_t dReQ2n = (*fReQ)(1,0); - //Double_t dReQ3n = (*fReQ)(2,0); - //Double_t dReQ4n = (*fReQ)(3,0); - Double_t dImQ1n = (*fImQ)(0,0); - Double_t dImQ2n = (*fImQ)(1,0); - //Double_t dImQ3n = (*fImQ)(2,0); - //Double_t dImQ4n = (*fImQ)(3,0); - - // reduced correlations are stored in fDiffFlowCorrelationsPro[0=RP,1=POI][0=pt,1=eta][correlation index]. Correlation index runs as follows: - // - // 0: <<2'>> - // 1: <<4'>> - // 2: <<6'>> - // 3: <<8'>> - - Int_t t = -1; // type flag - Int_t pe = -1; // ptEta flag - - if(type == "RP") - { - t = 0; - } else if(type == "POI") - { - t = 1; - } - - if(ptOrEta == "Pt") - { - pe = 0; - } else if(ptOrEta == "Eta") - { - pe = 1; - } - - Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; - Double_t minPtEta[2] = {fPtMin,fEtaMin}; - //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; - Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; - - // looping over all bins and calculating reduced correlations: - for(Int_t b=1;b<=nBinsPtEta[pe];b++) - { - // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular pt or eta bin): - Double_t p1n0kRe = 0.; - Double_t p1n0kIm = 0.; - - // number of POIs in particular pt or eta bin: - Double_t mp = 0.; - - // real and imaginary parts of q_{m*n,0} (non-weighted Q-vector evaluated for particles which are both RPs and POIs in particular pt or eta bin): - Double_t q1n0kRe = 0.; - Double_t q1n0kIm = 0.; - Double_t q2n0kRe = 0.; - Double_t q2n0kIm = 0.; - - // number of particles which are both RPs and POIs in particular pt or eta bin: - Double_t mq = 0.; - - if(type == "POI") - { - // q_{m*n,0}: - q1n0kRe = fReRPQ1dEBE[2][pe][0][0]->GetBinContent(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)) - * fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); - q1n0kIm = fImRPQ1dEBE[2][pe][0][0]->GetBinContent(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)) - * fImRPQ1dEBE[2][pe][0][0]->GetBinEntries(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)); - q2n0kRe = fReRPQ1dEBE[2][pe][1][0]->GetBinContent(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)) - * fReRPQ1dEBE[2][pe][1][0]->GetBinEntries(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)); - q2n0kIm = fImRPQ1dEBE[2][pe][1][0]->GetBinContent(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)) - * fImRPQ1dEBE[2][pe][1][0]->GetBinEntries(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)); - - mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + fCommonHistsResults8th = new AliFlowCommonHistResults(commonHistResults8thOrderName.Data()); + fHistList->Add(fCommonHistsResults8th); + +} // end of void AliFlowAnalysisWithQCumulants::BookCommonHistograms() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::BookAndFillWeightsHistograms() +{ + // book and fill histograms which hold phi, pt and eta weights + + if(!fWeightsList) + { + cout<<"WARNING: fWeightsList is NULL in AFAWQC::BAFWH() !!!!"<Data(); + fUseParticleWeights = new TProfile(fUseParticleWeightsName.Data(),"0 = particle weight not used, 1 = particle weight used ",3,0,3); + fUseParticleWeights->SetLabelSize(0.06); + (fUseParticleWeights->GetXaxis())->SetBinLabel(1,"w_{#phi}"); + (fUseParticleWeights->GetXaxis())->SetBinLabel(2,"w_{p_{T}}"); + (fUseParticleWeights->GetXaxis())->SetBinLabel(3,"w_{#eta}"); + fUseParticleWeights->Fill(0.5,(Int_t)fUsePhiWeights); + fUseParticleWeights->Fill(1.5,(Int_t)fUsePtWeights); + fUseParticleWeights->Fill(2.5,(Int_t)fUseEtaWeights); + fWeightsList->Add(fUseParticleWeights); + + if(fUsePhiWeights) + { + if(fWeightsList->FindObject("phi_weights")) + { + fPhiWeights = dynamic_cast(fWeightsList->FindObject("phi_weights")); + if(TMath::Abs(fPhiWeights->GetBinWidth(1)-fPhiBinWidth)>pow(10.,-6.)) + { + cout<FindObject(\"phi_weights\") is NULL in AFAWQC::BAFWH() !!!!"<FindObject("pt_weights")) + { + fPtWeights = dynamic_cast(fWeightsList->FindObject("pt_weights")); + if(TMath::Abs(fPtWeights->GetBinWidth(1)-fPtBinWidth)>pow(10.,-6.)) + { + cout<FindObject(\"pt_weights\") is NULL in AFAWQC::BAFWH() !!!!"<FindObject("eta_weights")) + { + fEtaWeights = dynamic_cast(fWeightsList->FindObject("eta_weights")); + if(TMath::Abs(fEtaWeights->GetBinWidth(1)-fEtaBinWidth)>pow(10.,-6.)) + { + cout<FindObject(\"eta_weights\") is NULL in AFAWQC::BAFWH() !!!!"<Data(); + fIntFlowFlags = new TProfile(intFlowFlagsName.Data(),"Flags for Integrated Flow",6,0,6); + fIntFlowFlags->SetTickLength(-0.01,"Y"); + fIntFlowFlags->SetMarkerStyle(25); + fIntFlowFlags->SetLabelSize(0.05); + fIntFlowFlags->SetLabelOffset(0.02,"Y"); + fIntFlowFlags->GetXaxis()->SetBinLabel(1,"Particle Weights"); + fIntFlowFlags->GetXaxis()->SetBinLabel(2,"Event Weights"); + fIntFlowFlags->GetXaxis()->SetBinLabel(3,"Corrected for NUA?"); + fIntFlowFlags->GetXaxis()->SetBinLabel(4,"Print NONAME results"); + fIntFlowFlags->GetXaxis()->SetBinLabel(5,"Print RP results"); + fIntFlowFlags->GetXaxis()->SetBinLabel(6,"Print POI results"); + fIntFlowList->Add(fIntFlowFlags); + + // b) Book event-by-event quantities: + // Re[Q_{m*n,k}], Im[Q_{m*n,k}] and S_{p,k}^M: + fReQ = new TMatrixD(4,9); + fImQ = new TMatrixD(4,9); + fSMpk = new TMatrixD(8,9); + // average correlations <2>, <4>, <6> and <8> for single event (bining is the same as in fIntFlowCorrelationsPro and fIntFlowCorrelationsHist): + TString intFlowCorrelationsEBEName = "fIntFlowCorrelationsEBE"; + intFlowCorrelationsEBEName += fAnalysisLabel->Data(); + fIntFlowCorrelationsEBE = new TH1D(intFlowCorrelationsEBEName.Data(),intFlowCorrelationsEBEName.Data(),4,0,4); + // weights for average correlations <2>, <4>, <6> and <8> for single event: + TString intFlowEventWeightsForCorrelationsEBEName = "fIntFlowEventWeightsForCorrelationsEBE"; + intFlowEventWeightsForCorrelationsEBEName += fAnalysisLabel->Data(); + fIntFlowEventWeightsForCorrelationsEBE = new TH1D(intFlowEventWeightsForCorrelationsEBEName.Data(),intFlowEventWeightsForCorrelationsEBEName.Data(),4,0,4); + // average all correlations for single event (bining is the same as in fIntFlowCorrelationsAllPro and fIntFlowCorrelationsAllHist): + TString intFlowCorrelationsAllEBEName = "fIntFlowCorrelationsAllEBE"; + intFlowCorrelationsAllEBEName += fAnalysisLabel->Data(); + fIntFlowCorrelationsAllEBE = new TH1D(intFlowCorrelationsAllEBEName.Data(),intFlowCorrelationsAllEBEName.Data(),32,0,32); + // average correction terms for non-uniform acceptance for single event + // (binning is the same as in fIntFlowCorrectionTermsForNUAPro[2] and fIntFlowCorrectionTermsForNUAHist[2]): + TString fIntFlowCorrectionTermsForNUAEBEName = "fIntFlowCorrectionTermsForNUAEBE"; + fIntFlowCorrectionTermsForNUAEBEName += fAnalysisLabel->Data(); + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + fIntFlowCorrectionTermsForNUAEBE[sc] = new TH1D(Form("%s: %s terms",fIntFlowCorrectionTermsForNUAEBEName.Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10); + } + // event weights for terms for non-uniform acceptance: + TString fIntFlowEventWeightForCorrectionTermsForNUAEBEName = "fIntFlowEventWeightForCorrectionTermsForNUAEBE"; + fIntFlowEventWeightForCorrectionTermsForNUAEBEName += fAnalysisLabel->Data(); + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + fIntFlowEventWeightForCorrectionTermsForNUAEBE[sc] = new TH1D(Form("%s: %s terms",fIntFlowEventWeightForCorrectionTermsForNUAEBEName.Data(),sinCosFlag[sc].Data()),Form("Event weights for terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10); + } + // c) Book profiles: // to be improved (comment) + // profile to hold average multiplicities and number of events for events with nRP>=0, nRP>=1, ... , and nRP>=8: + TString avMultiplicityName = "fAvMultiplicity"; + avMultiplicityName += fAnalysisLabel->Data(); + fAvMultiplicity = new TProfile(avMultiplicityName.Data(),"Average Multiplicities of RPs",9,0,9); + fAvMultiplicity->SetTickLength(-0.01,"Y"); + fAvMultiplicity->SetMarkerStyle(25); + fAvMultiplicity->SetLabelSize(0.05); + fAvMultiplicity->SetLabelOffset(0.02,"Y"); + fAvMultiplicity->SetYTitle("Average Multiplicity"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(1,"all evts"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(2,"n_{RP} #geq 1"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(3,"n_{RP} #geq 2"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(4,"n_{RP} #geq 3"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(5,"n_{RP} #geq 4"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(6,"n_{RP} #geq 5"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(7,"n_{RP} #geq 6"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(8,"n_{RP} #geq 7"); + (fAvMultiplicity->GetXaxis())->SetBinLabel(9,"n_{RP} #geq 8"); + fIntFlowProfiles->Add(fAvMultiplicity); + // average correlations <<2>>, <<4>>, <<6>> and <<8>> for all events (with wrong errors!): + TString intFlowCorrelationsProName = "fIntFlowCorrelationsPro"; + intFlowCorrelationsProName += fAnalysisLabel->Data(); + fIntFlowCorrelationsPro = new TProfile(intFlowCorrelationsProName.Data(),"Average correlations for all events",4,0,4,"s"); + fIntFlowCorrelationsPro->SetTickLength(-0.01,"Y"); + fIntFlowCorrelationsPro->SetMarkerStyle(25); + fIntFlowCorrelationsPro->SetLabelSize(0.06); + fIntFlowCorrelationsPro->SetLabelOffset(0.01,"Y"); + (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(1,"<<2>>"); + (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(2,"<<4>>"); + (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(3,"<<6>>"); + (fIntFlowCorrelationsPro->GetXaxis())->SetBinLabel(4,"<<8>>"); + fIntFlowProfiles->Add(fIntFlowCorrelationsPro); + // average correlations <<2>>, <<4>>, <<6>> and <<8>> versus multiplicity for all events (error is biased estimator): + TString correlationFlag[4] = {"<<2>>","<<4>>","<<6>>","<<8>>"}; + for(Int_t ci=0;ci<4;ci++) // correlation index + { + TString intFlowCorrelationsVsMProName = "fIntFlowCorrelationsVsMPro"; + intFlowCorrelationsVsMProName += fAnalysisLabel->Data(); + fIntFlowCorrelationsVsMPro[ci] = new TProfile(Form("%s, %s",intFlowCorrelationsVsMProName.Data(),correlationFlag[ci].Data()), + Form("%s vs multiplicity",correlationFlag[ci].Data()), + fnBinsMult,fMinMult,fMaxMult,"s"); + fIntFlowCorrelationsVsMPro[ci]->GetYaxis()->SetTitle(correlationFlag[ci].Data()); + fIntFlowCorrelationsVsMPro[ci]->GetXaxis()->SetTitle("M"); + fIntFlowProfiles->Add(fIntFlowCorrelationsVsMPro[ci]); + } // end of for(Int_t ci=0;ci<4;ci++) // correlation index + // averaged all correlations for all events (with wrong errors!): + TString intFlowCorrelationsAllProName = "fIntFlowCorrelationsAllPro"; + intFlowCorrelationsAllProName += fAnalysisLabel->Data(); + fIntFlowCorrelationsAllPro = new TProfile(intFlowCorrelationsAllProName.Data(),"Average correlations for all events",32,0,32,"s"); + fIntFlowCorrelationsAllPro->SetTickLength(-0.01,"Y"); + fIntFlowCorrelationsAllPro->SetMarkerStyle(25); + fIntFlowCorrelationsAllPro->SetLabelSize(0.03); + fIntFlowCorrelationsAllPro->SetLabelOffset(0.01,"Y"); + // 2-p correlations: + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}"); + // 3-p correlations: + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}"); + // 4-p correlations: + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(13,"<<4>>_{2n,2n|2n,2n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(14,"<<4>>_{3n|n,n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|3n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(16,"<<4>>_{3n,n|2n,2n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(17,"<<4>>_{4n|2n,n,n}"); + // 5-p correlations: + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(19,"<<5>>_{2n|n,n,n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(20,"<<5>>_{2n,2n|2n,n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(21,"<<5>>_{3n,n|2n,n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(22,"<<5>>_{4n|n,n,n,n}"); + // 6-p correlations: + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(24,"<<6>>_{n,n,n|n,n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(25,"<<6>>_{2n,n,n|2n,n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(26,"<<6>>_{2n,2n|n,n,n,n}"); + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(27,"<<6>>_{3n,n|n,n,n,n}"); + // 7-p correlations: + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(29,"<<7>>_{2n,n,n|n,n,n,n}"); + // 8-p correlations: + (fIntFlowCorrelationsAllPro->GetXaxis())->SetBinLabel(31,"<<8>>_{n,n,n,n|n,n,n,n}"); + fIntFlowProfiles->Add(fIntFlowCorrelationsAllPro); + // when particle weights are used some extra correlations appear: + if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + { + TString intFlowExtraCorrelationsProName = "fIntFlowExtraCorrelationsPro"; + intFlowExtraCorrelationsProName += fAnalysisLabel->Data(); + fIntFlowExtraCorrelationsPro = new TProfile(intFlowExtraCorrelationsProName.Data(),"Average extra correlations for all events",100,0,100,"s"); + fIntFlowExtraCorrelationsPro->SetTickLength(-0.01,"Y"); + fIntFlowExtraCorrelationsPro->SetMarkerStyle(25); + fIntFlowExtraCorrelationsPro->SetLabelSize(0.03); + fIntFlowExtraCorrelationsPro->SetLabelOffset(0.01,"Y"); + // extra 2-p correlations: + (fIntFlowExtraCorrelationsPro->GetXaxis())->SetBinLabel(1,"<>"); + (fIntFlowExtraCorrelationsPro->GetXaxis())->SetBinLabel(2,"<>"); + fIntFlowProfiles->Add(fIntFlowExtraCorrelationsPro); + } // end of if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + // average product of correlations <2>, <4>, <6> and <8>: + TString intFlowProductOfCorrelationsProName = "fIntFlowProductOfCorrelationsPro"; + intFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); + fIntFlowProductOfCorrelationsPro = new TProfile(intFlowProductOfCorrelationsProName.Data(),"Average products of correlations",6,0,6); + fIntFlowProductOfCorrelationsPro->SetTickLength(-0.01,"Y"); + fIntFlowProductOfCorrelationsPro->SetMarkerStyle(25); + fIntFlowProductOfCorrelationsPro->SetLabelSize(0.05); + fIntFlowProductOfCorrelationsPro->SetLabelOffset(0.01,"Y"); + (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(1,"<<2><4>>"); + (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(2,"<<2><6>>"); + (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(3,"<<2><8>>"); + (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(4,"<<4><6>>"); + (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(5,"<<4><8>>"); + (fIntFlowProductOfCorrelationsPro->GetXaxis())->SetBinLabel(6,"<<6><8>>"); + fIntFlowProfiles->Add(fIntFlowProductOfCorrelationsPro); + // average product of correlations <2>, <4>, <6> and <8> versus multiplicity + // [0=<<2><4>>,1=<<2><6>>,2=<<2><8>>,3=<<4><6>>,4=<<4><8>>,5=<<6><8>>] + TString intFlowProductOfCorrelationsVsMProName = "fIntFlowProductOfCorrelationsVsMPro"; + intFlowProductOfCorrelationsVsMProName += fAnalysisLabel->Data(); + TString productFlag[6] = {"<<2><4>>","<<2><6>>","<<2><8>>","<<4><6>>","<<4><8>>","<<6><8>>"}; + for(Int_t pi=0;pi<6;pi++) + { + fIntFlowProductOfCorrelationsVsMPro[pi] = new TProfile(Form("%s, %s",intFlowProductOfCorrelationsVsMProName.Data(),productFlag[pi].Data()), + Form("%s versus multiplicity",productFlag[pi].Data()), + fnBinsMult,fMinMult,fMaxMult); + fIntFlowProductOfCorrelationsVsMPro[pi]->GetXaxis()->SetTitle("M"); + fIntFlowProfiles->Add(fIntFlowProductOfCorrelationsVsMPro[pi]); + } // end of for(Int_t pi=0;pi<6;pi++) + // average product of correction terms for NUA: + TString intFlowProductOfCorrectionTermsForNUAProName = "fIntFlowProductOfCorrectionTermsForNUAPro"; + intFlowProductOfCorrectionTermsForNUAProName += fAnalysisLabel->Data(); + fIntFlowProductOfCorrectionTermsForNUAPro = new TProfile(intFlowProductOfCorrectionTermsForNUAProName.Data(),"Average products of correction terms for NUA",27,0,27); + fIntFlowProductOfCorrectionTermsForNUAPro->SetTickLength(-0.01,"Y"); + fIntFlowProductOfCorrectionTermsForNUAPro->SetMarkerStyle(25); + fIntFlowProductOfCorrectionTermsForNUAPro->SetLabelSize(0.05); + fIntFlowProductOfCorrectionTermsForNUAPro->SetLabelOffset(0.01,"Y"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(1,"<<2>>"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(2,"<<2>>"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(3,"<>"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(4,"Cov(<2>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(5,"Cov(<2>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(6,"Cov(<2>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(7,"Cov(<2>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(8,"Cov(<4>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(9,"Cov(<4>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(10,"Cov(<4>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(11,"Cov(<4>,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(12,"Cov(<4>,>)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(13,"Cov(<4>,>)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(14,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(15,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(16,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(17,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(18,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(19,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(20,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(21,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(22,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(23,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(24,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(25,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(26,"Cov(,)"); + (fIntFlowProductOfCorrectionTermsForNUAPro->GetXaxis())->SetBinLabel(27,"Cov(,)"); + fIntFlowProfiles->Add(fIntFlowProductOfCorrectionTermsForNUAPro); + // average correction terms for non-uniform acceptance (with wrong errors!): + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + TString intFlowCorrectionTermsForNUAProName = "fIntFlowCorrectionTermsForNUAPro"; + intFlowCorrectionTermsForNUAProName += fAnalysisLabel->Data(); + fIntFlowCorrectionTermsForNUAPro[sc] = new TProfile(Form("%s: %s terms",intFlowCorrectionTermsForNUAProName.Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10,"s"); + fIntFlowCorrectionTermsForNUAPro[sc]->SetTickLength(-0.01,"Y"); + fIntFlowCorrectionTermsForNUAPro[sc]->SetMarkerStyle(25); + fIntFlowCorrectionTermsForNUAPro[sc]->SetLabelSize(0.03); + fIntFlowCorrectionTermsForNUAPro[sc]->SetLabelOffset(0.01,"Y"); + (fIntFlowCorrectionTermsForNUAPro[sc]->GetXaxis())->SetBinLabel(1,Form("<<%s(n(phi1))>>",sinCosFlag[sc].Data())); + (fIntFlowCorrectionTermsForNUAPro[sc]->GetXaxis())->SetBinLabel(2,Form("<<%s(n(phi1+phi2))>>",sinCosFlag[sc].Data())); + (fIntFlowCorrectionTermsForNUAPro[sc]->GetXaxis())->SetBinLabel(3,Form("<<%s(n(phi1-phi2-phi3))>>",sinCosFlag[sc].Data())); + (fIntFlowCorrectionTermsForNUAPro[sc]->GetXaxis())->SetBinLabel(4,Form("<<%s(n(2phi1-phi2))>>",sinCosFlag[sc].Data())); + fIntFlowProfiles->Add(fIntFlowCorrectionTermsForNUAPro[sc]); + } // end of for(Int_t sc=0;sc<2;sc++) + + // d) Book histograms holding the final results: + // average correlations <<2>>, <<4>>, <<6>> and <<8>> for all events (with correct errors!): + TString intFlowCorrelationsHistName = "fIntFlowCorrelationsHist"; + intFlowCorrelationsHistName += fAnalysisLabel->Data(); + fIntFlowCorrelationsHist = new TH1D(intFlowCorrelationsHistName.Data(),"Average correlations for all events",4,0,4); + fIntFlowCorrelationsHist->SetTickLength(-0.01,"Y"); + fIntFlowCorrelationsHist->SetMarkerStyle(25); + fIntFlowCorrelationsHist->SetLabelSize(0.06); + fIntFlowCorrelationsHist->SetLabelOffset(0.01,"Y"); + (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(1,"<<2>>"); + (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(2,"<<4>>"); + (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(3,"<<6>>"); + (fIntFlowCorrelationsHist->GetXaxis())->SetBinLabel(4,"<<8>>"); + fIntFlowResults->Add(fIntFlowCorrelationsHist); + // average correlations <<2>>, <<4>>, <<6>> and <<8>> for all events (with correct errors!) vs M: + for(Int_t ci=0;ci<4;ci++) // correlation index + { + TString intFlowCorrelationsVsMHistName = "fIntFlowCorrelationsVsMHist"; + intFlowCorrelationsVsMHistName += fAnalysisLabel->Data(); + fIntFlowCorrelationsVsMHist[ci] = new TH1D(Form("%s, %s",intFlowCorrelationsVsMHistName.Data(),correlationFlag[ci].Data()), + Form("%s vs multiplicity",correlationFlag[ci].Data()), + fnBinsMult,fMinMult,fMaxMult); + fIntFlowCorrelationsVsMHist[ci]->GetYaxis()->SetTitle(correlationFlag[ci].Data()); + fIntFlowCorrelationsVsMHist[ci]->GetXaxis()->SetTitle("M"); + fIntFlowResults->Add(fIntFlowCorrelationsVsMHist[ci]); + } // end of for(Int_t ci=0;ci<4;ci++) // correlation index + // average all correlations for all events (with correct errors!): + TString intFlowCorrelationsAllHistName = "fIntFlowCorrelationsAllHist"; + intFlowCorrelationsAllHistName += fAnalysisLabel->Data(); + fIntFlowCorrelationsAllHist = new TH1D(intFlowCorrelationsAllHistName.Data(),"Average correlations for all events",32,0,32); + fIntFlowCorrelationsAllHist->SetTickLength(-0.01,"Y"); + fIntFlowCorrelationsAllHist->SetMarkerStyle(25); + fIntFlowCorrelationsAllHist->SetLabelSize(0.03); + fIntFlowCorrelationsAllHist->SetLabelOffset(0.01,"Y"); + // 2-p correlations: + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}"); + // 3-p correlations: + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}"); + // 4-p correlations: + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(13,"<<4>>_{2n,2n|2n,2n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(14,"<<4>>_{3n|n,n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|3n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(16,"<<4>>_{3n,n|2n,2n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(17,"<<4>>_{4n|2n,n,n}"); + // 5-p correlations: + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(19,"<<5>>_{2n|n,n,n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(20,"<<5>>_{2n,2n|2n,n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(21,"<<5>>_{3n,n|2n,n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(22,"<<5>>_{4n|n,n,n,n}"); + // 6-p correlations: + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(24,"<<6>>_{n,n,n|n,n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(25,"<<6>>_{2n,n,n|2n,n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(26,"<<6>>_{2n,2n|n,n,n,n}"); + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(27,"<<6>>_{3n,n|n,n,n,n}"); + // 7-p correlations: + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(29,"<<7>>_{2n,n,n|n,n,n,n}"); + // 8-p correlations: + (fIntFlowCorrelationsAllHist->GetXaxis())->SetBinLabel(31,"<<8>>_{n,n,n,n|n,n,n,n}"); + fIntFlowResults->Add(fIntFlowCorrelationsAllHist); + // average correction terms for non-uniform acceptance (with correct errors!): + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + TString intFlowCorrectionTermsForNUAHistName = "fIntFlowCorrectionTermsForNUAHist"; + intFlowCorrectionTermsForNUAHistName += fAnalysisLabel->Data(); + fIntFlowCorrectionTermsForNUAHist[sc] = new TH1D(Form("%s: %s terms",intFlowCorrectionTermsForNUAHistName.Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10); + fIntFlowCorrectionTermsForNUAHist[sc]->SetTickLength(-0.01,"Y"); + fIntFlowCorrectionTermsForNUAHist[sc]->SetMarkerStyle(25); + fIntFlowCorrectionTermsForNUAHist[sc]->SetLabelSize(0.03); + fIntFlowCorrectionTermsForNUAHist[sc]->SetLabelOffset(0.01,"Y"); + // ......................................................................... + // 1-p terms: + (fIntFlowCorrectionTermsForNUAHist[sc]->GetXaxis())->SetBinLabel(1,Form("%s(n(#phi_{1}))>",sinCosFlag[sc].Data())); + // 2-p terms: + // 3-p terms: + // ... + // ......................................................................... + fIntFlowResults->Add(fIntFlowCorrectionTermsForNUAHist[sc]); + } // end of for(Int_t sc=0;sc<2;sc++) + // covariances (multiplied with weight dependent prefactor): + TString intFlowCovariancesName = "fIntFlowCovariances"; + intFlowCovariancesName += fAnalysisLabel->Data(); + fIntFlowCovariances = new TH1D(intFlowCovariancesName.Data(),"Covariances (multiplied with weight dependent prefactor)",6,0,6); + fIntFlowCovariances->SetLabelSize(0.04); + fIntFlowCovariances->SetMarkerStyle(25); + (fIntFlowCovariances->GetXaxis())->SetBinLabel(1,"Cov(<2>,<4>)"); + (fIntFlowCovariances->GetXaxis())->SetBinLabel(2,"Cov(<2>,<6>)"); + (fIntFlowCovariances->GetXaxis())->SetBinLabel(3,"Cov(<2>,<8>)"); + (fIntFlowCovariances->GetXaxis())->SetBinLabel(4,"Cov(<4>,<6>)"); + (fIntFlowCovariances->GetXaxis())->SetBinLabel(5,"Cov(<4>,<8>)"); + (fIntFlowCovariances->GetXaxis())->SetBinLabel(6,"Cov(<6>,<8>)"); + fIntFlowResults->Add(fIntFlowCovariances); + // sum of linear and quadratic event weights for <2>, <4>, <6> and <8>: + TString intFlowSumOfEventWeightsName = "fIntFlowSumOfEventWeights"; + intFlowSumOfEventWeightsName += fAnalysisLabel->Data(); + for(Int_t power=0;power<2;power++) + { + fIntFlowSumOfEventWeights[power] = new TH1D(Form("%s: %s",intFlowSumOfEventWeightsName.Data(),powerFlag[power].Data()),Form("Sum of %s event weights for correlations",powerFlag[power].Data()),4,0,4); + fIntFlowSumOfEventWeights[power]->SetLabelSize(0.05); + fIntFlowSumOfEventWeights[power]->SetMarkerStyle(25); + if(power == 0) + { + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>}"); + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<4>}"); + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<6>}"); + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<8>}"); + } else if (power == 1) + { + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>}^{2}"); + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<4>}^{2}"); + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<6>}^{2}"); + (fIntFlowSumOfEventWeights[power]->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<8>}^{2}"); + } + fIntFlowResults->Add(fIntFlowSumOfEventWeights[power]); + } + // sum of products of event weights for correlations <2>, <4>, <6> and <8>: + TString intFlowSumOfProductOfEventWeightsName = "fIntFlowSumOfProductOfEventWeights"; + intFlowSumOfProductOfEventWeightsName += fAnalysisLabel->Data(); + fIntFlowSumOfProductOfEventWeights = new TH1D(intFlowSumOfProductOfEventWeightsName.Data(),"Sum of product of event weights for correlations",6,0,6); + fIntFlowSumOfProductOfEventWeights->SetLabelSize(0.05); + fIntFlowSumOfProductOfEventWeights->SetMarkerStyle(25); + (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>} w_{<4>}"); + (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<2>} w_{<6>}"); + (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<2>} w_{<8>}"); + (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<4>} w_{<6>}"); + (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(5,"#sum_{i=1}^{N} w_{<4>} w_{<8>}"); + (fIntFlowSumOfProductOfEventWeights->GetXaxis())->SetBinLabel(6,"#sum_{i=1}^{N} w_{<6>} w_{<8>}"); + fIntFlowResults->Add(fIntFlowSumOfProductOfEventWeights); + // final result for covariances of correlations (multiplied with weight dependent prefactor) versus M + // [0=Cov(2,4),1=Cov(2,6),2=Cov(2,8),3=Cov(4,6),4=Cov(4,8),5=Cov(6,8)]: + TString intFlowCovariancesVsMName = "fIntFlowCovariancesVsM"; + intFlowCovariancesVsMName += fAnalysisLabel->Data(); + TString covarianceFlag[6] = {"Cov(<2>,<4>)","Cov(<2>,<6>)","Cov(<2>,<8>)","Cov(<4>,<6>)","Cov(<4>,<8>)","Cov(<6>,<8>)"}; + for(Int_t ci=0;ci<6;ci++) + { + fIntFlowCovariancesVsM[ci] = new TH1D(Form("%s, %s",intFlowCovariancesVsMName.Data(),covarianceFlag[ci].Data()), + Form("%s vs multiplicity",covarianceFlag[ci].Data()), + fnBinsMult,fMinMult,fMaxMult); + fIntFlowCovariancesVsM[ci]->GetYaxis()->SetTitle(covarianceFlag[ci].Data()); + fIntFlowCovariancesVsM[ci]->GetXaxis()->SetTitle("M"); + fIntFlowResults->Add(fIntFlowCovariancesVsM[ci]); + } + // sum of linear and quadratic event weights for <2>, <4>, <6> and <8> versus multiplicity + // [0=sum{w_{<2>}},1=sum{w_{<4>}},2=sum{w_{<6>}},3=sum{w_{<8>}}][0=linear 1,1=quadratic]: + TString intFlowSumOfEventWeightsVsMName = "fIntFlowSumOfEventWeightsVsM"; + intFlowSumOfEventWeightsVsMName += fAnalysisLabel->Data(); + TString sumFlag[2][4] = {{"#sum_{i=1}^{N} w_{<2>}","#sum_{i=1}^{N} w_{<4>}","#sum_{i=1}^{N} w_{<6>}","#sum_{i=1}^{N} w_{<8>}"}, + {"#sum_{i=1}^{N} w_{<2>}^{2}","#sum_{i=1}^{N} w_{<4>}^{2}","#sum_{i=1}^{N} w_{<6>}^{2}","#sum_{i=1}^{N} w_{<8>}^{2}"}}; + for(Int_t si=0;si<4;si++) + { + for(Int_t power=0;power<2;power++) + { + fIntFlowSumOfEventWeightsVsM[si][power] = new TH1D(Form("%s, %s",intFlowSumOfEventWeightsVsMName.Data(),sumFlag[power][si].Data()), + Form("%s vs multiplicity",sumFlag[power][si].Data()), + fnBinsMult,fMinMult,fMaxMult); + fIntFlowSumOfEventWeightsVsM[si][power]->GetYaxis()->SetTitle(sumFlag[power][si].Data()); + fIntFlowSumOfEventWeightsVsM[si][power]->GetXaxis()->SetTitle("M"); + fIntFlowResults->Add(fIntFlowSumOfEventWeightsVsM[si][power]); + } // end of for(Int_t power=0;power<2;power++) + } // end of for(Int_t si=0;si<4;si++) + // sum of products of event weights for correlations <2>, <4>, <6> and <8> vs M + // [0=sum{w_{<2>}w_{<4>}},1=sum{w_{<2>}w_{<6>}},2=sum{w_{<2>}w_{<8>}}, + // 3=sum{w_{<4>}w_{<6>}},4=sum{w_{<4>}w_{<8>}},5=sum{w_{<6>}w_{<8>}}]: + TString intFlowSumOfProductOfEventWeightsVsMName = "fIntFlowSumOfProductOfEventWeightsVsM"; + intFlowSumOfProductOfEventWeightsVsMName += fAnalysisLabel->Data(); + TString sopowFlag[6] = {"#sum_{i=1}^{N} w_{<2>} w_{<4>}","#sum_{i=1}^{N} w_{<2>} w_{<6>}","#sum_{i=1}^{N} w_{<2>} w_{<8>}", + "#sum_{i=1}^{N} w_{<4>} w_{<6>}","#sum_{i=1}^{N} w_{<4>} w_{<8>}","#sum_{i=1}^{N} w_{<6>} w_{<8>}"}; + for(Int_t pi=0;pi<6;pi++) + { + fIntFlowSumOfProductOfEventWeightsVsM[pi] = new TH1D(Form("%s, %s",intFlowSumOfProductOfEventWeightsVsMName.Data(),sopowFlag[pi].Data()), + Form("%s versus multiplicity",sopowFlag[pi].Data()), + fnBinsMult,fMinMult,fMaxMult); + fIntFlowSumOfProductOfEventWeightsVsM[pi]->GetXaxis()->SetTitle("M"); + fIntFlowSumOfProductOfEventWeightsVsM[pi]->GetYaxis()->SetTitle(sopowFlag[pi].Data()); + fIntFlowResults->Add(fIntFlowSumOfProductOfEventWeightsVsM[pi]); + } // end of for(Int_t pi=0;pi<6;pi++) + // covariances of NUA terms (multiplied with weight dependent prefactor): + TString intFlowCovariancesNUAName = "fIntFlowCovariancesNUA"; + intFlowCovariancesNUAName += fAnalysisLabel->Data(); + fIntFlowCovariancesNUA = new TH1D(intFlowCovariancesNUAName.Data(),"Covariances for NUA (multiplied with weight dependent prefactor)",27,0,27); + fIntFlowCovariancesNUA->SetLabelSize(0.04); + fIntFlowCovariancesNUA->SetMarkerStyle(25); + fIntFlowCovariancesNUA->GetXaxis()->SetLabelSize(0.02); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(1,"Cov(<2>,"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(2,"Cov(<2>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(3,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(4,"Cov(<2>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(5,"Cov(<2>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(6,"Cov(<2>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(7,"Cov(<2>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(8,"Cov(<4>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(9,"Cov(<4>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(10,"Cov(<4>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(11,"Cov(<4>,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(12,"Cov(<4>,>)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(13,"Cov(<4>,>)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(14,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(15,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(16,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(17,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(18,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(19,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(20,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(21,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(22,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(23,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(24,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(25,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(26,"Cov(,)"); + (fIntFlowCovariancesNUA->GetXaxis())->SetBinLabel(27,"Cov(,)"); + fIntFlowResults->Add(fIntFlowCovariancesNUA); + // sum of linear and quadratic event weights for NUA terms: + TString intFlowSumOfEventWeightsNUAName = "fIntFlowSumOfEventWeightsNUA"; + intFlowSumOfEventWeightsNUAName += fAnalysisLabel->Data(); + for(Int_t sc=0;sc<2;sc++) + { + for(Int_t power=0;power<2;power++) + { + fIntFlowSumOfEventWeightsNUA[sc][power] = new TH1D(Form("%s: %s, %s",intFlowSumOfEventWeightsNUAName.Data(),powerFlag[power].Data(),sinCosFlag[sc].Data()),Form("Sum of %s event weights for NUA %s terms",powerFlag[power].Data(),sinCosFlag[sc].Data()),3,0,3); + fIntFlowSumOfEventWeightsNUA[sc][power]->SetLabelSize(0.05); + fIntFlowSumOfEventWeightsNUA[sc][power]->SetMarkerStyle(25); + if(power == 0) + { + (fIntFlowSumOfEventWeightsNUA[sc][power]->GetXaxis())->SetBinLabel(1,Form("#sum_{i=1}^{N} w_{<%s(#phi)>}",sinCosFlag[sc].Data())); + (fIntFlowSumOfEventWeightsNUA[sc][power]->GetXaxis())->SetBinLabel(2,Form("#sum_{i=1}^{N} w_{<%s(#phi_{1}+#phi_{2})>}",sinCosFlag[sc].Data())); + (fIntFlowSumOfEventWeightsNUA[sc][power]->GetXaxis())->SetBinLabel(3,Form("#sum_{i=1}^{N} w_{<%s(#phi_{1}-#phi_{2}-#phi_{3})>}",sinCosFlag[sc].Data())); + } else if(power == 1) + { + (fIntFlowSumOfEventWeightsNUA[sc][power]->GetXaxis())->SetBinLabel(1,Form("#sum_{i=1}^{N} w_{<%s(#phi)>}^{2}",sinCosFlag[sc].Data())); + (fIntFlowSumOfEventWeightsNUA[sc][power]->GetXaxis())->SetBinLabel(2,Form("#sum_{i=1}^{N} w_{<%s(#phi_{1}+#phi_{2})>}^{2}",sinCosFlag[sc].Data())); + (fIntFlowSumOfEventWeightsNUA[sc][power]->GetXaxis())->SetBinLabel(3,Form("#sum_{i=1}^{N} w_{<%s(#phi_{1}-#phi_{2}-#phi_{3})>}^{2}",sinCosFlag[sc].Data())); + } + fIntFlowResults->Add(fIntFlowSumOfEventWeightsNUA[sc][power]); + } + } + // sum of products of event weights for NUA terms: + TString intFlowSumOfProductOfEventWeightsNUAName = "fIntFlowSumOfProductOfEventWeightsNUA"; + intFlowSumOfProductOfEventWeightsNUAName += fAnalysisLabel->Data(); + fIntFlowSumOfProductOfEventWeightsNUA = new TH1D(intFlowSumOfProductOfEventWeightsNUAName.Data(),"Sum of product of event weights for NUA terms",27,0,27); + fIntFlowSumOfProductOfEventWeightsNUA->SetLabelSize(0.05); + fIntFlowSumOfProductOfEventWeightsNUA->SetMarkerStyle(25); + (fIntFlowSumOfProductOfEventWeightsNUA->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>} w_{}"); + (fIntFlowSumOfProductOfEventWeightsNUA->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<2>} w_{}"); + (fIntFlowSumOfProductOfEventWeightsNUA->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{} w_{}"); + // .... + // to be improved - add labels for remaining bins + // .... + fIntFlowResults->Add(fIntFlowSumOfProductOfEventWeightsNUA); + // final results for integrated Q-cumulants: + TString intFlowQcumulantsName = "fIntFlowQcumulants"; + intFlowQcumulantsName += fAnalysisLabel->Data(); + fIntFlowQcumulants = new TH1D(intFlowQcumulantsName.Data(),"Integrated Q-cumulants",4,0,4); + fIntFlowQcumulants->SetLabelSize(0.05); + fIntFlowQcumulants->SetMarkerStyle(25); + (fIntFlowQcumulants->GetXaxis())->SetBinLabel(1,"QC{2}"); + (fIntFlowQcumulants->GetXaxis())->SetBinLabel(2,"QC{4}"); + (fIntFlowQcumulants->GetXaxis())->SetBinLabel(3,"QC{6}"); + (fIntFlowQcumulants->GetXaxis())->SetBinLabel(4,"QC{8}"); + fIntFlowResults->Add(fIntFlowQcumulants); + // final results for integrated Q-cumulants versus multiplicity: + TString intFlowQcumulantsVsMName = "fIntFlowQcumulantsVsM"; + intFlowQcumulantsVsMName += fAnalysisLabel->Data(); + TString cumulantFlag[4] = {"QC{2}","QC{4}","QC{6}","QC{8}"}; + for(Int_t co=0;co<4;co++) // cumulant order + { + fIntFlowQcumulantsVsM[co] = new TH1D(Form("%s, %s",intFlowQcumulantsVsMName.Data(),cumulantFlag[co].Data()), + Form("%s vs multipicity",cumulantFlag[co].Data()), + fnBinsMult,fMinMult,fMaxMult); + fIntFlowQcumulantsVsM[co]->GetXaxis()->SetTitle("M"); + fIntFlowQcumulantsVsM[co]->GetYaxis()->SetTitle(cumulantFlag[co].Data()); + fIntFlowResults->Add(fIntFlowQcumulantsVsM[co]); + } // end of for(Int_t co=0;co<4;co++) // cumulant order + // final integrated flow estimates from Q-cumulants: + TString intFlowName = "fIntFlow"; + intFlowName += fAnalysisLabel->Data(); + // integrated flow from Q-cumulants: + fIntFlow = new TH1D(intFlowName.Data(),"Integrated flow estimates from Q-cumulants",4,0,4); + fIntFlow->SetLabelSize(0.05); + fIntFlow->SetMarkerStyle(25); + (fIntFlow->GetXaxis())->SetBinLabel(1,"v_{2}{2,QC}"); // to be improved (harwired harmonic) + (fIntFlow->GetXaxis())->SetBinLabel(2,"v_{2}{4,QC}"); // to be improved (harwired harmonic) + (fIntFlow->GetXaxis())->SetBinLabel(3,"v_{2}{6,QC}"); // to be improved (harwired harmonic) + (fIntFlow->GetXaxis())->SetBinLabel(4,"v_{2}{8,QC}"); // to be improved (harwired harmonic) + fIntFlowResults->Add(fIntFlow); + // integrated flow from Q-cumulants: versus multiplicity: + TString intFlowVsMName = "fIntFlowVsM"; + intFlowVsMName += fAnalysisLabel->Data(); + TString flowFlag[4] = {"v_{2}{2,QC}","v_{2}{4,QC}","v_{2}{6,QC}","v_{2}{8,QC}"}; // to be improved (harwired harmonic) + for(Int_t co=0;co<4;co++) // cumulant order + { + fIntFlowVsM[co] = new TH1D(Form("%s, %s",intFlowVsMName.Data(),flowFlag[co].Data()), + Form("%s vs multipicity",flowFlag[co].Data()), + fnBinsMult,fMinMult,fMaxMult); + fIntFlowVsM[co]->GetXaxis()->SetTitle("M"); + fIntFlowVsM[co]->GetYaxis()->SetTitle(flowFlag[co].Data()); + fIntFlowResults->Add(fIntFlowVsM[co]); + } // end of for(Int_t co=0;co<4;co++) // cumulant order + + /* // to be improved (removed): + // final average weighted multi-particle correlations for all events calculated from Q-vectors + fQCorrelations[1] = new TProfile("Weighted correlations","final average multi-particle correlations from weighted Q-vectors",200,0,200,"s"); + fQCorrelations[1]->SetTickLength(-0.01,"Y"); + fQCorrelations[1]->SetMarkerStyle(25); + fQCorrelations[1]->SetLabelSize(0.03); + fQCorrelations[1]->SetLabelOffset(0.01,"Y"); + // 2-particle correlations: + (fQCorrelations[1]->GetXaxis())->SetBinLabel(1,""); + (fQCorrelations[1]->GetXaxis())->SetBinLabel(2,""); + (fQCorrelations[1]->GetXaxis())->SetBinLabel(3,""); + (fQCorrelations[1]->GetXaxis())->SetBinLabel(4,""); + (fQCorrelations[1]->GetXaxis())->SetBinLabel(5,""); + (fQCorrelations[1]->GetXaxis())->SetBinLabel(6,""); + // 3-particle correlations: + (fQCorrelations[1]->GetXaxis())->SetBinLabel(21,""); + // 4-particle correlations: + (fQCorrelations[1]->GetXaxis())->SetBinLabel(41,""); + // add fQCorrelations[1] to the list fIntFlowList: + fIntFlowList->Add(fQCorrelations[1]); + */ + +} // end of AliFlowAnalysisWithQCumulants::BookEverythingForIntegratedFlow() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::InitializeArraysForNestedLoops() +{ + // Initialize arrays of all objects relevant for calculations with nested loops. + + // integrated flow: + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + fIntFlowDirectCorrectionTermsForNUA[sc] = NULL; + } + + // differential flow: + // correlations: + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t ci=0;ci<4;ci++) // correlation index + { + fDiffFlowDirectCorrelations[t][pe][ci] = NULL; + } // end of for(Int_t ci=0;ci<4;ci++) // correlation index + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + // correction terms for non-uniform acceptance: + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowDirectCorrectionTermsForNUA[t][pe][sc][cti] = NULL; + } + } + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + + +} // end of void AliFlowAnalysisWithQCumulants::InitializeArraysForNestedLoops() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::BookEverythingForNestedLoops() +{ + // Book all objects relevant for calculations with nested loops. + + TString sinCosFlag[2] = {"sin","cos"}; // to be improved (should I promote this to data members?) + TString typeFlag[2] = {"RP","POI"}; // to be improved (should I promote this to data members?) + TString ptEtaFlag[2] = {"p_{T}","#eta"}; // to be improved (should I promote this to data members?) + TString reducedCorrelationIndex[4] = {"<2'>","<4'>","<6'>","<8'>"}; // to be improved (should I promote this to data members?) + Double_t lowerPtEtaEdge[2] = {fPtMin+(fCrossCheckInPtBinNo-1)*fPtBinWidth,fEtaMin+(fCrossCheckInEtaBinNo-1)*fEtaBinWidth}; + Double_t upperPtEtaEdge[2] = {fPtMin+fCrossCheckInPtBinNo*fPtBinWidth,fEtaMin+fCrossCheckInEtaBinNo*fEtaBinWidth}; + + TString evaluateNestedLoopsName = "fEvaluateNestedLoops"; + evaluateNestedLoopsName += fAnalysisLabel->Data(); + fEvaluateNestedLoops = new TProfile(evaluateNestedLoopsName.Data(),"Flags for nested loops",4,0,4); + fEvaluateNestedLoops->SetLabelSize(0.03); + (fEvaluateNestedLoops->GetXaxis())->SetBinLabel(1,"fEvaluateIntFlowNestedLoops"); + (fEvaluateNestedLoops->GetXaxis())->SetBinLabel(2,"fEvaluateDiffFlowNestedLoops"); + (fEvaluateNestedLoops->GetXaxis())->SetBinLabel(3,"fCrossCheckInPtBinNo"); + (fEvaluateNestedLoops->GetXaxis())->SetBinLabel(4,"fCrossCheckInEtaBinNo"); + fEvaluateNestedLoops->Fill(0.5,(Int_t)fEvaluateIntFlowNestedLoops); + fEvaluateNestedLoops->Fill(1.5,(Int_t)fEvaluateDiffFlowNestedLoops); + fEvaluateNestedLoops->Fill(2.5,fCrossCheckInPtBinNo); + fEvaluateNestedLoops->Fill(3.5,fCrossCheckInEtaBinNo); + fNestedLoopsList->Add(fEvaluateNestedLoops); + // nested loops for integrated flow: + if(fEvaluateIntFlowNestedLoops) + { + // correlations: + TString intFlowDirectCorrelationsName = "fIntFlowDirectCorrelations"; + intFlowDirectCorrelationsName += fAnalysisLabel->Data(); + fIntFlowDirectCorrelations = new TProfile(intFlowDirectCorrelationsName.Data(),"Multiparticle correlations calculated with nested loops (for int. flow)",32,0,32,"s"); + fNestedLoopsList->Add(fIntFlowDirectCorrelations); + if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + { + TString intFlowExtraDirectCorrelationsName = "fIntFlowExtraDirectCorrelations"; + intFlowExtraDirectCorrelationsName += fAnalysisLabel->Data(); + fIntFlowExtraDirectCorrelations = new TProfile(intFlowExtraDirectCorrelationsName.Data(),"Extra multiparticle correlations calculated with nested loops (for int. flow)",100,0,100,"s"); + fNestedLoopsList->Add(fIntFlowExtraDirectCorrelations); + } // end of if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) + // correction terms for non-uniform acceptance: + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + TString intFlowDirectCorrectionTermsForNUAName = "fIntFlowDirectCorrectionTermsForNUA"; + intFlowDirectCorrectionTermsForNUAName += fAnalysisLabel->Data(); + fIntFlowDirectCorrectionTermsForNUA[sc] = new TProfile(Form("%s: %s terms",intFlowDirectCorrectionTermsForNUAName.Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s terms)",sinCosFlag[sc].Data()),10,0,10,"s"); + fNestedLoopsList->Add(fIntFlowDirectCorrectionTermsForNUA[sc]); + } // end of for(Int_t sc=0;sc<2;sc++) + } // end of if(fEvaluateIntFlowNestedLoops) + + // nested loops for differential flow: + if(fEvaluateDiffFlowNestedLoops) + { + // reduced correlations: + TString diffFlowDirectCorrelationsName = "fDiffFlowDirectCorrelations"; + diffFlowDirectCorrelationsName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t rci=0;rci<4;rci++) // reduced correlation index + { + // reduced correlations: + fDiffFlowDirectCorrelations[t][pe][rci] = new TProfile(Form("%s, %s, %s, %s",diffFlowDirectCorrelationsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),Form("%s, %s, %s, %s",diffFlowDirectCorrelationsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),1,lowerPtEtaEdge[pe],upperPtEtaEdge[pe],"s"); + fDiffFlowDirectCorrelations[t][pe][rci]->SetXTitle(ptEtaFlag[pe].Data()); + fNestedLoopsList->Add(fDiffFlowDirectCorrelations[t][pe][rci]); // to be improved (add dedicated list to hold reduced correlations) + } // end of for(Int_t rci=0;rci<4;rci++) // correlation index + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + // correction terms for non-uniform acceptance: + TString diffFlowDirectCorrectionTermsForNUAName = "fDiffFlowDirectCorrectionTermsForNUA"; + diffFlowDirectCorrectionTermsForNUAName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // typeFlag (0 = RP, 1 = POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t sc=0;sc<2;sc++) // sin or cos + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowDirectCorrectionTermsForNUA[t][pe][sc][cti] = new TProfile(Form("%s, %s, %s, %s, cti = %d",diffFlowDirectCorrectionTermsForNUAName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),sinCosFlag[sc].Data(),cti+1),Form("%s, %s, %s, %s, cti = %d",diffFlowDirectCorrectionTermsForNUAName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),sinCosFlag[sc].Data(),cti+1),1,lowerPtEtaEdge[pe],upperPtEtaEdge[pe],"s"); + fNestedLoopsList->Add(fDiffFlowDirectCorrectionTermsForNUA[t][pe][sc][cti]); + } + } + } } - else if(type == "RP") - { - // q_{m*n,0}: - q1n0kRe = fReRPQ1dEBE[0][pe][0][0]->GetBinContent(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)) - * fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); - q1n0kIm = fImRPQ1dEBE[0][pe][0][0]->GetBinContent(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)) - * fImRPQ1dEBE[0][pe][0][0]->GetBinEntries(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)); - q2n0kRe = fReRPQ1dEBE[0][pe][1][0]->GetBinContent(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)) - * fReRPQ1dEBE[0][pe][1][0]->GetBinEntries(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)); - q2n0kIm = fImRPQ1dEBE[0][pe][1][0]->GetBinContent(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)) - * fImRPQ1dEBE[0][pe][1][0]->GetBinEntries(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)); - - mq = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + // number of RPs and POIs in selected pt and eta bins for cross-checkings: + TString noOfParticlesInBinName = "fNoOfParticlesInBin"; + fNoOfParticlesInBin = new TH1D(noOfParticlesInBinName.Data(),"Number of RPs and POIs in selected p_{T} and #eta bin",4,0,4); + fNoOfParticlesInBin->GetXaxis()->SetBinLabel(1,"# of RPs in p_{T} bin"); + fNoOfParticlesInBin->GetXaxis()->SetBinLabel(2,"# of RPs in #eta bin"); + fNoOfParticlesInBin->GetXaxis()->SetBinLabel(3,"# of POIs in p_{T} bin"); + fNoOfParticlesInBin->GetXaxis()->SetBinLabel(4,"# of POIs in #eta bin"); + fNestedLoopsList->Add(fNoOfParticlesInBin); + } // end of if(fEvaluateDiffFlowNestedLoops) + +} // end of AliFlowAnalysisWithQCumulants::BookEverythingForNestedLoops() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrelations() +{ + // calculate all correlations needed for integrated flow + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n = (*fReQ)(0,0); + Double_t dReQ2n = (*fReQ)(1,0); + Double_t dReQ3n = (*fReQ)(2,0); + Double_t dReQ4n = (*fReQ)(3,0); + Double_t dImQ1n = (*fImQ)(0,0); + Double_t dImQ2n = (*fImQ)(1,0); + Double_t dImQ3n = (*fImQ)(2,0); + Double_t dImQ4n = (*fImQ)(3,0); + + // real and imaginary parts of some expressions involving various combinations of Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + // (these expression appear in the Eqs. for the multi-particle correlations bellow) + + // Re[Q_{2n} Q_{n}^* Q_{n}^*] + Double_t reQ2nQ1nstarQ1nstar = pow(dReQ1n,2.)*dReQ2n + 2.*dReQ1n*dImQ1n*dImQ2n - pow(dImQ1n,2.)*dReQ2n; + + // Im[Q_{2n} Q_{n}^* Q_{n}^*] + //Double_t imQ2nQ1nstarQ1nstar = pow(dReQ1n,2.)*dImQ2n-2.*dReQ1n*dImQ1n*dReQ2n-pow(dImQ1n,2.)*dImQ2n; + + // Re[Q_{n} Q_{n} Q_{2n}^*] = Re[Q_{2n} Q_{n}^* Q_{n}^*] + Double_t reQ1nQ1nQ2nstar = reQ2nQ1nstarQ1nstar; + + // Re[Q_{3n} Q_{n} Q_{2n}^* Q_{2n}^*] + Double_t reQ3nQ1nQ2nstarQ2nstar = (pow(dReQ2n,2.)-pow(dImQ2n,2.))*(dReQ3n*dReQ1n-dImQ3n*dImQ1n) + + 2.*dReQ2n*dImQ2n*(dReQ3n*dImQ1n+dImQ3n*dReQ1n); + + // Im[Q_{3n} Q_{n} Q_{2n}^* Q_{2n}^*] + //Double_t imQ3nQ1nQ2nstarQ2nstar = calculate and implement this (deleteMe) + + // Re[Q_{2n} Q_{2n} Q_{3n}^* Q_{1n}^*] = Re[Q_{3n} Q_{n} Q_{2n}^* Q_{2n}^*] + Double_t reQ2nQ2nQ3nstarQ1nstar = reQ3nQ1nQ2nstarQ2nstar; + + // Re[Q_{4n} Q_{2n}^* Q_{2n}^*] + Double_t reQ4nQ2nstarQ2nstar = pow(dReQ2n,2.)*dReQ4n+2.*dReQ2n*dImQ2n*dImQ4n-pow(dImQ2n,2.)*dReQ4n; + + // Im[Q_{4n} Q_{2n}^* Q_{2n}^*] + //Double_t imQ4nQ2nstarQ2nstar = calculate and implement this (deleteMe) + + // Re[Q_{2n} Q_{2n} Q_{4n}^*] = Re[Q_{4n} Q_{2n}^* Q_{2n}^*] + Double_t reQ2nQ2nQ4nstar = reQ4nQ2nstarQ2nstar; + + // Re[Q_{4n} Q_{3n}^* Q_{n}^*] + Double_t reQ4nQ3nstarQ1nstar = dReQ4n*(dReQ3n*dReQ1n-dImQ3n*dImQ1n)+dImQ4n*(dReQ3n*dImQ1n+dImQ3n*dReQ1n); + + // Re[Q_{3n} Q_{n} Q_{4n}^*] = Re[Q_{4n} Q_{3n}^* Q_{n}^*] + Double_t reQ3nQ1nQ4nstar = reQ4nQ3nstarQ1nstar; + + // Im[Q_{4n} Q_{3n}^* Q_{n}^*] + //Double_t imQ4nQ3nstarQ1nstar = calculate and implement this (deleteMe) + + // Re[Q_{3n} Q_{2n}^* Q_{n}^*] + Double_t reQ3nQ2nstarQ1nstar = dReQ3n*dReQ2n*dReQ1n-dReQ3n*dImQ2n*dImQ1n+dImQ3n*dReQ2n*dImQ1n + + dImQ3n*dImQ2n*dReQ1n; + + // Re[Q_{2n} Q_{n} Q_{3n}^*] = Re[Q_{3n} Q_{2n}^* Q_{n}^*] + Double_t reQ2nQ1nQ3nstar = reQ3nQ2nstarQ1nstar; + + // Im[Q_{3n} Q_{2n}^* Q_{n}^*] + //Double_t imQ3nQ2nstarQ1nstar; //calculate and implement this (deleteMe) + + // Re[Q_{3n} Q_{n}^* Q_{n}^* Q_{n}^*] + Double_t reQ3nQ1nstarQ1nstarQ1nstar = dReQ3n*pow(dReQ1n,3)-3.*dReQ1n*dReQ3n*pow(dImQ1n,2) + + 3.*dImQ1n*dImQ3n*pow(dReQ1n,2)-dImQ3n*pow(dImQ1n,3); + + // Im[Q_{3n} Q_{n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ3nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe) + + // |Q_{2n}|^2 |Q_{n}|^2 + Double_t dQ2nQ1nQ2nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.)); + + // Re[Q_{4n} Q_{2n}^* Q_{n}^* Q_{n}^*] + Double_t reQ4nQ2nstarQ1nstarQ1nstar = (dReQ4n*dReQ2n+dImQ4n*dImQ2n)*(pow(dReQ1n,2)-pow(dImQ1n,2)) + + 2.*dReQ1n*dImQ1n*(dImQ4n*dReQ2n-dReQ4n*dImQ2n); + + // Im[Q_{4n} Q_{2n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ4nQ2nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe) + + // Re[Q_{2n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^*] + Double_t reQ2nQ1nQ1nstarQ1nstarQ1nstar = (dReQ2n*dReQ1n-dImQ2n*dImQ1n)*(pow(dReQ1n,3)-3.*dReQ1n*pow(dImQ1n,2)) + + (dReQ2n*dImQ1n+dReQ1n*dImQ2n)*(3.*dImQ1n*pow(dReQ1n,2)-pow(dImQ1n,3)); + + // Im[Q_{2n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ2nQ1nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe) + + // Re[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*] + Double_t reQ2nQ2nQ2nstarQ1nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.)) + * (dReQ2n*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) + 2.*dImQ2n*dReQ1n*dImQ1n); + + // Im[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ2nQ2nQ2nstarQ1nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.)) + // * (dImQ2n*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) - 2.*dReQ2n*dReQ1n*dImQ1n); + + // Re[Q_{4n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + Double_t reQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(dReQ1n,4.)*dReQ4n-6.*pow(dReQ1n,2.)*dReQ4n*pow(dImQ1n,2.) + + pow(dImQ1n,4.)*dReQ4n+4.*pow(dReQ1n,3.)*dImQ1n*dImQ4n + - 4.*pow(dImQ1n,3.)*dReQ1n*dImQ4n; + + // Im[Q_{4n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(dReQ1n,4.)*dImQ4n-6.*pow(dReQ1n,2.)*dImQ4n*pow(dImQ1n,2.) + // + pow(dImQ1n,4.)*dImQ4n+4.*pow(dImQ1n,3.)*dReQ1n*dReQ4n + // - 4.*pow(dReQ1n,3.)*dImQ1n*dReQ4n; + + // Re[Q_{3n} Q_{n} Q_{2n}^* Q_{n}^* Q_{n}^*] + Double_t reQ3nQ1nQ2nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) + * (dReQ1n*dReQ2n*dReQ3n-dReQ3n*dImQ1n*dImQ2n+dReQ2n*dImQ1n*dImQ3n+dReQ1n*dImQ2n*dImQ3n); + + // Im[Q_{3n} Q_{n} Q_{2n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ3nQ1nQ2nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) + // * (-dReQ2n*dReQ3n*dImQ1n-dReQ1n*dReQ3n*dImQ2n+dReQ1n*dReQ2n*dImQ3n-dImQ1n*dImQ2n*dImQ3n); + + + // Re[Q_{2n} Q_{2n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + Double_t reQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)*dReQ2n-2.*dReQ1n*dReQ2n*dImQ1n-dReQ2n*pow(dImQ1n,2.) + + dImQ2n*pow(dReQ1n,2.)+2.*dReQ1n*dImQ1n*dImQ2n-pow(dImQ1n,2.)*dImQ2n) + * (pow(dReQ1n,2.)*dReQ2n+2.*dReQ1n*dReQ2n*dImQ1n-dReQ2n*pow(dImQ1n,2.) + - dImQ2n*pow(dReQ1n,2.)+2.*dReQ1n*dImQ1n*dImQ2n+pow(dImQ1n,2.)*dImQ2n); + + // Im[Q_{2n} Q_{2n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar = 2.*(pow(dReQ1n,2.)*dReQ2n-dReQ2n*pow(dImQ1n,2.) + // + 2.*dReQ1n*dImQ1n*dImQ2n)*(pow(dReQ1n,2.)*dImQ2n + // - 2.*dReQ1n*dImQ1n*dReQ2n-pow(dImQ1n,2.)*dImQ2n); + + // Re[Q_{3n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + Double_t reQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) + * (pow(dReQ1n,3.)*dReQ3n-3.*dReQ1n*dReQ3n*pow(dImQ1n,2.) + + 3.*pow(dReQ1n,2.)*dImQ1n*dImQ3n-pow(dImQ1n,3.)*dImQ3n); + + // Im[Q_{3n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = (pow(dReQ1n,2.)+pow(dImQ1n,2.)) + // * (pow(dImQ1n,3.)*dReQ3n-3.*dImQ1n*dReQ3n*pow(dReQ1n,2.) + // - 3.*pow(dImQ1n,2.)*dReQ1n*dImQ3n+pow(dReQ1n,3.)*dImQ3n); + + // |Q_{2n}|^2 |Q_{n}|^4 + Double_t dQ2nQ1nQ1nQ2nstarQ1nstarQ1nstar = (pow(dReQ2n,2.)+pow(dImQ2n,2.))*pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.); + + // Re[Q_{2n} Q_{n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + Double_t reQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) + * (pow(dReQ1n,2.)*dReQ2n-dReQ2n*pow(dImQ1n,2.) + + 2.*dReQ1n*dImQ1n*dImQ2n); + + // Im[Q_{2n} Q_{n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*] + //Double_t imQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) + // * (pow(dReQ1n,2.)*dImQ2n-dImQ2n*pow(dImQ1n,2.) + // - 2.*dReQ1n*dReQ2n*dImQ1n); + + + + + // ************************************** + // **** multi-particle correlations: **** + // ************************************** + // + // Remark 1: multi-particle correlations calculated with non-weighted Q-vectors are stored in 1D profile fQCorrelations[0]. // to be improved (wrong profiles) + // Remark 2: binning of fQCorrelations[0] is organized as follows: // to be improved (wrong profiles) + // -------------------------------------------------------------------------------------------------------------------- + // 1st bin: <2>_{1n|1n} = two1n1n = cos(n*(phi1-phi2))> + // 2nd bin: <2>_{2n|2n} = two2n2n = cos(2n*(phi1-phi2))> + // 3rd bin: <2>_{3n|3n} = two3n3n = cos(3n*(phi1-phi2))> + // 4th bin: <2>_{4n|4n} = two4n4n = cos(4n*(phi1-phi2))> + // 5th bin: ---- EMPTY ---- + // 6th bin: <3>_{2n|1n,1n} = three2n1n1n = + // 7th bin: <3>_{3n|2n,1n} = three3n2n1n = + // 8th bin: <3>_{4n|2n,2n} = three4n2n2n = + // 9th bin: <3>_{4n|3n,1n} = three4n3n1n = + // 10th bin: ---- EMPTY ---- + // 11th bin: <4>_{1n,1n|1n,1n} = four1n1n1n1n = + // 12th bin: <4>_{2n,1n|2n,1n} = four2n1n2n1n = + // 13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n = + // 14th bin: <4>_{3n|1n,1n,1n} = four3n1n1n1n = + // 15th bin: <4>_{3n,1n|3n,1n} = four3n1n3n1n = + // 16th bin: <4>_{3n,1n|2n,2n} = four3n1n2n2n = + // 17th bin: <4>_{4n|2n,1n,1n} = four4n2n1n1n = + // 18th bin: ---- EMPTY ---- + // 19th bin: <5>_{2n|1n,1n,1n,1n} = five2n1n1n1n1n = + // 20th bin: <5>_{2n,2n|2n,1n,1n} = five2n2n2n1n1n = + // 21st bin: <5>_{3n,1n|2n,1n,1n} = five3n1n2n1n1n = + // 22nd bin: <5>_{4n|1n,1n,1n,1n} = five4n1n1n1n1n = + // 23rd bin: ---- EMPTY ---- + // 24th bin: <6>_{1n,1n,1n|1n,1n,1n} = six1n1n1n1n1n1n = + // 25th bin: <6>_{2n,1n,1n|2n,1n,1n} = six2n1n1n2n1n1n = + // 26th bin: <6>_{2n,2n|1n,1n,1n,1n} = six2n2n1n1n1n1n = + // 27th bin: <6>_{3n,1n|1n,1n,1n,1n} = six3n1n1n1n1n1n = + // 28th bin: ---- EMPTY ---- + // 29th bin: <7>_{2n,1n,1n|1n,1n,1n,1n} = seven2n1n1n1n1n1n1n = + // 30th bin: ---- EMPTY ---- + // 31st bin: <8>_{1n,1n,1n,1n|1n,1n,1n,1n} = eight1n1n1n1n1n1n1n1n = + // -------------------------------------------------------------------------------------------------------------------- + + // 2-particle: + Double_t two1n1n = 0.; // + Double_t two2n2n = 0.; // + Double_t two3n3n = 0.; // + Double_t two4n4n = 0.; // + + if(dMult>1) + { + two1n1n = (pow(dReQ1n,2.)+pow(dImQ1n,2.)-dMult)/(dMult*(dMult-1.)); + two2n2n = (pow(dReQ2n,2.)+pow(dImQ2n,2.)-dMult)/(dMult*(dMult-1.)); + two3n3n = (pow(dReQ3n,2.)+pow(dImQ3n,2.)-dMult)/(dMult*(dMult-1.)); + two4n4n = (pow(dReQ4n,2.)+pow(dImQ4n,2.)-dMult)/(dMult*(dMult-1.)); + + // average 2-particle correlations for single event: + fIntFlowCorrelationsAllEBE->SetBinContent(1,two1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(2,two2n2n); + fIntFlowCorrelationsAllEBE->SetBinContent(3,two3n3n); + fIntFlowCorrelationsAllEBE->SetBinContent(4,two4n4n); + + // average 2-particle correlations for all events: + fIntFlowCorrelationsAllPro->Fill(0.5,two1n1n,dMult*(dMult-1.)); + fIntFlowCorrelationsAllPro->Fill(1.5,two2n2n,dMult*(dMult-1.)); + fIntFlowCorrelationsAllPro->Fill(2.5,two3n3n,dMult*(dMult-1.)); + fIntFlowCorrelationsAllPro->Fill(3.5,two4n4n,dMult*(dMult-1.)); + + // store separetately <2> (to be improved: do I really need this?) + fIntFlowCorrelationsEBE->SetBinContent(1,two1n1n); // <2> + + // to be improved (this can be implemented better): + Double_t mWeight2p = 0.; + if(!strcmp(fMultiplicityWeight->Data(),"combinations")) + { + mWeight2p = dMult*(dMult-1.); + } else if(!strcmp(fMultiplicityWeight->Data(),"unit")) + { + mWeight2p = 1.; + } else if(!strcmp(fMultiplicityWeight->Data(),"multiplicity")) + { + mWeight2p = dMult; + } + + fIntFlowEventWeightsForCorrelationsEBE->SetBinContent(1,mWeight2p); // eW_<2> + fIntFlowCorrelationsPro->Fill(0.5,two1n1n,mWeight2p); + fIntFlowCorrelationsVsMPro[0]->Fill(dMult+0.5,two1n1n,mWeight2p); + + // distribution of : + //f2pDistribution->Fill(two1n1n,dMult*(dMult-1.)); + } // end of if(dMult>1) + + // 3-particle: + Double_t three2n1n1n = 0.; // + Double_t three3n2n1n = 0.; // + Double_t three4n2n2n = 0.; // + Double_t three4n3n1n = 0.; // + + if(dMult>2) + { + three2n1n1n = (reQ2nQ1nstarQ1nstar-2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) + - (pow(dReQ2n,2.)+pow(dImQ2n,2.))+2.*dMult) + / (dMult*(dMult-1.)*(dMult-2.)); + three3n2n1n = (reQ3nQ2nstarQ1nstar-(pow(dReQ3n,2.)+pow(dImQ3n,2.)) + - (pow(dReQ2n,2.)+pow(dImQ2n,2.)) + - (pow(dReQ1n,2.)+pow(dImQ1n,2.))+2.*dMult) + / (dMult*(dMult-1.)*(dMult-2.)); + three4n2n2n = (reQ4nQ2nstarQ2nstar-2.*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) + - (pow(dReQ4n,2.)+pow(dImQ4n,2.))+2.*dMult) + / (dMult*(dMult-1.)*(dMult-2.)); + three4n3n1n = (reQ4nQ3nstarQ1nstar-(pow(dReQ4n,2.)+pow(dImQ4n,2.)) + - (pow(dReQ3n,2.)+pow(dImQ3n,2.)) + - (pow(dReQ1n,2.)+pow(dImQ1n,2.))+2.*dMult) + / (dMult*(dMult-1.)*(dMult-2.)); + + // average 3-particle correlations for single event: + fIntFlowCorrelationsAllEBE->SetBinContent(6,three2n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(7,three3n2n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(8,three4n2n2n); + fIntFlowCorrelationsAllEBE->SetBinContent(9,three4n3n1n); + + // average 3-particle correlations for all events: + fIntFlowCorrelationsAllPro->Fill(5.5,three2n1n1n,dMult*(dMult-1.)*(dMult-2.)); + fIntFlowCorrelationsAllPro->Fill(6.5,three3n2n1n,dMult*(dMult-1.)*(dMult-2.)); + fIntFlowCorrelationsAllPro->Fill(7.5,three4n2n2n,dMult*(dMult-1.)*(dMult-2.)); + fIntFlowCorrelationsAllPro->Fill(8.5,three4n3n1n,dMult*(dMult-1.)*(dMult-2.)); + } // end of if(dMult>2) + + // 4-particle: + Double_t four1n1n1n1n = 0.; // + Double_t four2n2n2n2n = 0.; // + Double_t four2n1n2n1n = 0.; // + Double_t four3n1n1n1n = 0.; // + Double_t four4n2n1n1n = 0.; // + Double_t four3n1n2n2n = 0.; // + Double_t four3n1n3n1n = 0.; // + + if(dMult>3) + { + four1n1n1n1n = (2.*dMult*(dMult-3.)+pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.)-4.*(dMult-2.)*(pow(dReQ1n,2.) + + pow(dImQ1n,2.))-2.*reQ2nQ1nstarQ1nstar+(pow(dReQ2n,2.)+pow(dImQ2n,2.))) + / (dMult*(dMult-1)*(dMult-2.)*(dMult-3.)); + four2n2n2n2n = (2.*dMult*(dMult-3.)+pow((pow(dReQ2n,2.)+pow(dImQ2n,2.)),2.)-4.*(dMult-2.)*(pow(dReQ2n,2.) + + pow(dImQ2n,2.))-2.*reQ4nQ2nstarQ2nstar+(pow(dReQ4n,2.)+pow(dImQ4n,2.))) + / (dMult*(dMult-1)*(dMult-2.)*(dMult-3.)); + four2n1n2n1n = (dQ2nQ1nQ2nstarQ1nstar-2.*reQ3nQ2nstarQ1nstar-2.*reQ2nQ1nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + - ((dMult-5.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) + + (dMult-4.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.))-(pow(dReQ3n,2.)+pow(dImQ3n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + + (dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.)); + four3n1n1n1n = (reQ3nQ1nstarQ1nstarQ1nstar-3.*reQ3nQ2nstarQ1nstar-3.*reQ2nQ1nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + + (2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.))+3.*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) + + 6.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))-6.*dMult) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + four4n2n1n1n = (reQ4nQ2nstarQ1nstarQ1nstar-2.*reQ4nQ3nstarQ1nstar-reQ4nQ2nstarQ2nstar-2.*reQ3nQ2nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + - (reQ2nQ1nstarQ1nstar-2.*(pow(dReQ4n,2.)+pow(dImQ4n,2.))-2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) + - 3.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))-4.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + - 6./((dMult-1.)*(dMult-2.)*(dMult-3.)); + four3n1n2n2n = (reQ3nQ1nQ2nstarQ2nstar-reQ4nQ2nstarQ2nstar-reQ3nQ1nQ4nstar-2.*reQ3nQ2nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + - (2.*reQ1nQ1nQ2nstar-(pow(dReQ4n,2.)+pow(dImQ4n,2.))-2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) + - 4.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))-4.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + - 6./((dMult-1.)*(dMult-2.)*(dMult-3.)); + four3n1n3n1n = ((pow(dReQ3n,2.)+pow(dImQ3n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) + - 2.*reQ4nQ3nstarQ1nstar-2.*reQ3nQ2nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + + ((pow(dReQ4n,2.)+pow(dImQ4n,2.))-(dMult-4.)*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) + + (pow(dReQ2n,2.)+pow(dImQ2n,2.))-(dMult-4.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)) + + (dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.)); + + // average 4-particle correlations for single event: + fIntFlowCorrelationsAllEBE->SetBinContent(11,four1n1n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(12,four2n1n2n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(13,four2n2n2n2n); + fIntFlowCorrelationsAllEBE->SetBinContent(14,four3n1n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(15,four3n1n3n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(16,four3n1n2n2n); + fIntFlowCorrelationsAllEBE->SetBinContent(17,four4n2n1n1n); + + // average 4-particle correlations for all events: + fIntFlowCorrelationsAllPro->Fill(10.5,four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + fIntFlowCorrelationsAllPro->Fill(11.5,four2n1n2n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + fIntFlowCorrelationsAllPro->Fill(12.5,four2n2n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + fIntFlowCorrelationsAllPro->Fill(13.5,four3n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + fIntFlowCorrelationsAllPro->Fill(14.5,four3n1n3n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + fIntFlowCorrelationsAllPro->Fill(15.5,four3n1n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + fIntFlowCorrelationsAllPro->Fill(16.5,four4n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + + // store separetately <4> (to be improved: do I really need this?) + fIntFlowCorrelationsEBE->SetBinContent(2,four1n1n1n1n); // <4> + + // to be improved (this can be implemented better): + Double_t mWeight4p = 0.; + if(!strcmp(fMultiplicityWeight->Data(),"combinations")) + { + mWeight4p = dMult*(dMult-1.)*(dMult-2.)*(dMult-3.); + } else if(!strcmp(fMultiplicityWeight->Data(),"unit")) + { + mWeight4p = 1.; + } else if(!strcmp(fMultiplicityWeight->Data(),"multiplicity")) + { + mWeight4p = dMult; + } + + fIntFlowEventWeightsForCorrelationsEBE->SetBinContent(2,mWeight4p); // eW_<4> + fIntFlowCorrelationsPro->Fill(1.5,four1n1n1n1n,mWeight4p); + fIntFlowCorrelationsVsMPro[1]->Fill(dMult+0.5,four1n1n1n1n,mWeight4p); + + // distribution of + //f4pDistribution->Fill(four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)); + + } // end of if(dMult>3) + + // 5-particle: + Double_t five2n1n1n1n1n = 0.; // + Double_t five2n2n2n1n1n = 0.; // + Double_t five3n1n2n1n1n = 0.; // + Double_t five4n1n1n1n1n = 0.; // + + if(dMult>4) + { + five2n1n1n1n1n = (reQ2nQ1nQ1nstarQ1nstarQ1nstar-reQ3nQ1nstarQ1nstarQ1nstar+6.*reQ3nQ2nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - (reQ2nQ1nQ3nstar+3.*(dMult-6.)*reQ2nQ1nstarQ1nstar+3.*reQ1nQ1nQ2nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - (2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) + + 3.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) + - 3.*(dMult-4.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - 3.*(pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) + - 2.*(2*dMult-5.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))+2.*dMult*(dMult-4.)) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + + five2n2n2n1n1n = (reQ2nQ2nQ2nstarQ1nstarQ1nstar-reQ4nQ2nstarQ1nstarQ1nstar-2.*reQ2nQ2nQ3nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + + 2.*(reQ4nQ2nstarQ2nstar+4.*reQ3nQ2nstarQ1nstar+reQ3nQ1nQ4nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + + (reQ2nQ2nQ4nstar-2.*(dMult-5.)*reQ2nQ1nstarQ1nstar+2.*reQ1nQ1nQ2nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - (2.*(pow(dReQ4n,2.)+pow(dImQ4n,2.))+4.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) + + 1.*pow((pow(dReQ2n,2.)+pow(dImQ2n,2.)),2.) + - 2.*(3.*dMult-10.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - (4.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) + - 4.*(dMult-5.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))+4.*dMult*(dMult-6.)) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + + five4n1n1n1n1n = (reQ4nQ1nstarQ1nstarQ1nstarQ1nstar-6.*reQ4nQ2nstarQ1nstarQ1nstar-4.*reQ3nQ1nstarQ1nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + + (8.*reQ4nQ3nstarQ1nstar+3.*reQ4nQ2nstarQ2nstar+12.*reQ3nQ2nstarQ1nstar+12.*reQ2nQ1nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - (6.*(pow(dReQ4n,2.)+pow(dImQ4n,2.))+8.*(pow(dReQ3n,2.)+pow(dImQ3n,2.)) + + 12.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))+24.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))-24.*dMult) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + + five3n1n2n1n1n = (reQ3nQ1nQ2nstarQ1nstarQ1nstar-reQ4nQ2nstarQ1nstarQ1nstar-reQ3nQ1nstarQ1nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - (reQ3nQ1nQ2nstarQ2nstar-3.*reQ4nQ3nstarQ1nstar-reQ4nQ2nstarQ2nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - ((2.*dMult-13.)*reQ3nQ2nstarQ1nstar-reQ3nQ1nQ4nstar-9.*reQ2nQ1nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - (2.*reQ1nQ1nQ2nstar+2.*(pow(dReQ4n,2.)+pow(dImQ4n,2.)) + - 2.*(dMult-5.)*(pow(dReQ3n,2.)+pow(dImQ3n,2.))+2.*(pow(dReQ3n,2.) + + pow(dImQ3n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + + (2.*(dMult-6.)*(pow(dReQ2n,2.)+pow(dImQ2n,2.)) + - 2.*(pow(dReQ2n,2.)+pow(dImQ2n,2.))*(pow(dReQ1n,2.)+pow(dImQ1n,2.)) + - pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.) + + 2.*(3.*dMult-11.)*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) + - 4.*(dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + + // average 5-particle correlations for single event: + fIntFlowCorrelationsAllEBE->SetBinContent(19,five2n1n1n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(20,five2n2n2n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(21,five3n1n2n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(22,five4n1n1n1n1n); + + // average 5-particle correlations for all events: + fIntFlowCorrelationsAllPro->Fill(18.5,five2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + fIntFlowCorrelationsAllPro->Fill(19.5,five2n2n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + fIntFlowCorrelationsAllPro->Fill(20.5,five3n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + fIntFlowCorrelationsAllPro->Fill(21.5,five4n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)); + } // end of if(dMult>4) + + // 6-particle: + Double_t six1n1n1n1n1n1n = 0.; // + Double_t six2n2n1n1n1n1n = 0.; // + Double_t six3n1n1n1n1n1n = 0.; // + Double_t six2n1n1n2n1n1n = 0.; // + + if(dMult>5) + { + six1n1n1n1n1n1n = (pow(pow(dReQ1n,2.)+pow(dImQ1n,2.),3.)+9.*dQ2nQ1nQ2nstarQ1nstar-6.*reQ2nQ1nQ1nstarQ1nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)) + + 4.*(reQ3nQ1nstarQ1nstarQ1nstar-3.*reQ3nQ2nstarQ1nstar) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)) + + 2.*(9.*(dMult-4.)*reQ2nQ1nstarQ1nstar+2.*(pow(dReQ3n,2.)+pow(dImQ3n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)) + - 9.*(pow((pow(dReQ1n,2.)+pow(dImQ1n,2.)),2.)+(pow(dReQ2n,2.)+pow(dImQ2n,2.))) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-5.)) + + (18.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))) + / (dMult*(dMult-1)*(dMult-3)*(dMult-4)) + - 6./((dMult-1.)*(dMult-2.)*(dMult-3.)); + + six2n1n1n2n1n1n = (dQ2nQ1nQ1nQ2nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.) + * (2.*five2n2n2n1n1n+4.*five2n1n1n1n1n+4.*five3n1n2n1n1n+4.*four2n1n2n1n+1.*four1n1n1n1n) + - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(4.*four1n1n1n1n+4.*two1n1n + + 2.*three2n1n1n+2.*three2n1n1n+4.*four3n1n1n1n+8.*three2n1n1n+2.*four4n2n1n1n + + 4.*four2n1n2n1n+2.*two2n2n+8.*four2n1n2n1n+4.*four3n1n3n1n+8.*three3n2n1n + + 4.*four3n1n2n2n+4.*four1n1n1n1n+4.*four2n1n2n1n+1.*four2n2n2n2n) + - dMult*(dMult-1.)*(dMult-2.)*(2.*three2n1n1n+8.*two1n1n+4.*two1n1n+2. + + 4.*two1n1n+4.*three2n1n1n+2.*two2n2n+4.*three2n1n1n+8.*three3n2n1n + + 8.*two2n2n+4.*three4n3n1n+4.*two3n3n+4.*three3n2n1n+4.*two1n1n + + 8.*three2n1n1n+4.*two1n1n+4.*three3n2n1n+4.*three2n1n1n+2.*two2n2n + + 4.*three3n2n1n+2.*three4n2n2n)-dMult*(dMult-1.) + * (4.*two1n1n+4.+4.*two1n1n+2.*two2n2n+1.+4.*two1n1n+4.*two2n2n+4.*two3n3n + + 1.+2.*two2n2n+1.*two4n4n)-dMult) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); // to be improved (direct formula needed) + + six2n2n1n1n1n1n = (reQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.) + * (five4n1n1n1n1n+8.*five2n1n1n1n1n+6.*five2n2n2n1n1n)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.) + * (4.*four3n1n1n1n+6.*four4n2n1n1n+12.*three2n1n1n+12.*four1n1n1n1n+24.*four2n1n2n1n + + 4.*four3n1n2n2n+3.*four2n2n2n2n)-dMult*(dMult-1.)*(dMult-2.)*(6.*three2n1n1n+12.*three3n2n1n + + 4.*three4n3n1n+3.*three4n2n2n+8.*three2n1n1n+24.*two1n1n+12.*two2n2n+12.*three2n1n1n+8.*three3n2n1n + + 1.*three4n2n2n)-dMult*(dMult-1.)*(4.*two1n1n+6.*two2n2n+4.*two3n3n+1.*two4n4n+2.*two2n2n+8.*two1n1n+6.)-dMult) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); // to be improved (direct formula needed) + + six3n1n1n1n1n1n = (reQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.) + * (five4n1n1n1n1n+4.*five2n1n1n1n1n+6.*five3n1n2n1n1n+4.*four3n1n1n1n) + - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(4.*four3n1n1n1n+6.*four4n2n1n1n+6.*four1n1n1n1n + + 12.*three2n1n1n+12.*four2n1n2n1n+6.*four3n1n1n1n+12.*three3n2n1n+4.*four3n1n3n1n+3.*four3n1n2n2n) + - dMult*(dMult-1.)*(dMult-2.)*(6.*three2n1n1n+12.*three3n2n1n+4.*three4n3n1n+3.*three4n2n2n+4.*two1n1n + + 12.*two1n1n+6.*three2n1n1n+12.*three2n1n1n+4.*three3n2n1n+12.*two2n2n+4.*three3n2n1n+4.*two3n3n+1.*three4n3n1n + + 6.*three3n2n1n)-dMult*(dMult-1.)*(4.*two1n1n+6.*two2n2n+4.*two3n3n+1.*two4n4n+1.*two1n1n+4.+6.*two1n1n+4.*two2n2n + + 1.*two3n3n)-dMult)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); // to be improved (direct formula needed) + + // average 6-particle correlations for single event: + fIntFlowCorrelationsAllEBE->SetBinContent(24,six1n1n1n1n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(25,six2n1n1n2n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(26,six2n2n1n1n1n1n); + fIntFlowCorrelationsAllEBE->SetBinContent(27,six3n1n1n1n1n1n); + + // average 6-particle correlations for all events: + fIntFlowCorrelationsAllPro->Fill(23.5,six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); + fIntFlowCorrelationsAllPro->Fill(24.5,six2n1n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); + fIntFlowCorrelationsAllPro->Fill(25.5,six2n2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); + fIntFlowCorrelationsAllPro->Fill(26.5,six3n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); + + // store separetately <6> (to be improved: do I really need this?) + fIntFlowCorrelationsEBE->SetBinContent(3,six1n1n1n1n1n1n); // <6> + + // to be improved (this can be implemented better): + Double_t mWeight6p = 0.; + if(!strcmp(fMultiplicityWeight->Data(),"combinations")) + { + mWeight6p = dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.); + } else if(!strcmp(fMultiplicityWeight->Data(),"unit")) + { + mWeight6p = 1.; + } else if(!strcmp(fMultiplicityWeight->Data(),"multiplicity")) + { + mWeight6p = dMult; + } + + fIntFlowEventWeightsForCorrelationsEBE->SetBinContent(3,mWeight6p); // eW_<6> + fIntFlowCorrelationsPro->Fill(2.5,six1n1n1n1n1n1n,mWeight6p); + fIntFlowCorrelationsVsMPro[2]->Fill(dMult+0.5,six1n1n1n1n1n1n,mWeight6p); + + // distribution of + //f6pDistribution->Fill(six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)); + } // end of if(dMult>5) + + // 7-particle: + Double_t seven2n1n1n1n1n1n1n = 0.; // + + if(dMult>6) + { + seven2n1n1n1n1n1n1n = (reQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.) + * (2.*six3n1n1n1n1n1n+4.*six1n1n1n1n1n1n+1.*six2n2n1n1n1n1n+6.*six2n1n1n2n1n1n+8.*five2n1n1n1n1n) + - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(1.*five4n1n1n1n1n +8.*five2n1n1n1n1n+8.*four3n1n1n1n + + 12.*five3n1n2n1n1n+4.*five2n1n1n1n1n+3.*five2n2n2n1n1n+6.*five2n2n2n1n1n+6.*four1n1n1n1n+24.*four1n1n1n1n + + 12.*five2n1n1n1n1n+12.*five2n1n1n1n1n+12.*three2n1n1n+24.*four2n1n2n1n+4.*five3n1n2n1n1n+4.*five2n1n1n1n1n) + - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(4.*four3n1n1n1n+6.*four4n2n1n1n+12.*four1n1n1n1n+24.*three2n1n1n + + 24.*four2n1n2n1n+12.*four3n1n1n1n+24.*three3n2n1n+8.*four3n1n3n1n+6.*four3n1n2n2n+6.*three2n1n1n+12.*four1n1n1n1n + + 12.*four2n1n2n1n+6.*three2n1n1n+12.*four2n1n2n1n+4.*four3n1n2n2n+3.*four2n2n2n2n+4.*four1n1n1n1n+6.*three2n1n1n + + 24.*two1n1n+24.*four1n1n1n1n+4.*four3n1n1n1n+24.*two1n1n+24.*three2n1n1n+12.*two2n2n+24.*three2n1n1n+12.*four2n1n2n1n + + 8.*three3n2n1n+8.*four2n1n2n1n+1.*four4n2n1n1n)-dMult*(dMult-1.)*(dMult-2.)*(6.*three2n1n1n+1.*three2n1n1n+8.*two1n1n + + 12.*three3n2n1n+24.*two1n1n+12.*three2n1n1n+4.*three2n1n1n+8.*two1n1n+4.*three4n3n1n+24.*three2n1n1n+8.*three3n2n1n + + 12.*two1n1n+12.*two1n1n+3.*three4n2n2n+24.*two2n2n+6.*two2n2n+12.+12.*three3n2n1n+8.*two3n3n+12.*three2n1n1n+24.*two1n1n + + 4.*three3n2n1n+8.*three3n2n1n+2.*three4n3n1n+12.*two1n1n+8.*three2n1n1n+4.*three2n1n1n+2.*three3n2n1n+6.*two2n2n+8.*two2n2n + + 1.*three4n2n2n+4.*three3n2n1n+6.*three2n1n1n)-dMult*(dMult-1.)*(4.*two1n1n+2.*two1n1n+6.*two2n2n+8.+1.*two2n2n+4.*two3n3n + + 12.*two1n1n+4.*two1n1n+1.*two4n4n+8.*two2n2n+6.+2.*two3n3n+4.*two1n1n+1.*two2n2n)-dMult) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)); // to be improved (direct formula needed) + + // average 7-particle correlations for single event: + fIntFlowCorrelationsAllEBE->SetBinContent(29,seven2n1n1n1n1n1n1n); + + // average 7-particle correlations for all events: + fIntFlowCorrelationsAllPro->Fill(28.5,seven2n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)); + } // end of if(dMult>6) + + // 8-particle: + Double_t eight1n1n1n1n1n1n1n1n = 0.; // + if(dMult>7) + { + eight1n1n1n1n1n1n1n1n = (pow(pow(dReQ1n,2.)+pow(dImQ1n,2.),4.)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.) + * (12.*seven2n1n1n1n1n1n1n+16.*six1n1n1n1n1n1n)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.) + * (8.*six3n1n1n1n1n1n+48.*six1n1n1n1n1n1n+6.*six2n2n1n1n1n1n+96.*five2n1n1n1n1n+72.*four1n1n1n1n+36.*six2n1n1n2n1n1n) + - dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(2.*five4n1n1n1n1n+32.*five2n1n1n1n1n+36.*four1n1n1n1n + + 32.*four3n1n1n1n+48.*five2n1n1n1n1n+48.*five3n1n2n1n1n+144.*five2n1n1n1n1n+288.*four1n1n1n1n+36.*five2n2n2n1n1n + + 144.*three2n1n1n+96.*two1n1n+144.*four2n1n2n1n)-dMult*(dMult-1.)*(dMult-2.)*(dMult-3.) + * (8.*four3n1n1n1n+48.*four1n1n1n1n+12.*four4n2n1n1n+96.*four2n1n2n1n+96.*three2n1n1n+72.*three2n1n1n+144.*two1n1n + + 16.*four3n1n3n1n+48.*four3n1n1n1n+144.*four1n1n1n1n+72.*four1n1n1n1n+96.*three3n2n1n+24.*four3n1n2n2n+144.*four2n1n2n1n + + 288.*two1n1n+288.*three2n1n1n+9.*four2n2n2n2n+72.*two2n2n+24.)-dMult*(dMult-1.)*(dMult-2.)*(12.*three2n1n1n+16.*two1n1n + + 24.*three3n2n1n+48.*three2n1n1n+96.*two1n1n+8.*three4n3n1n+32.*three3n2n1n+96.*three2n1n1n+144.*two1n1n+6.*three4n2n2n + + 96.*two2n2n+36.*two2n2n+72.+48.*three3n2n1n+16.*two3n3n+72.*three2n1n1n+144.*two1n1n)-dMult*(dMult-1.)*(8.*two1n1n + + 12.*two2n2n+16.+8.*two3n3n+48.*two1n1n+1.*two4n4n+16.*two2n2n+18.)-dMult) + / (dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.)); // to be improved (direct formula needed) + + // average 8-particle correlations for single event: + fIntFlowCorrelationsAllEBE->SetBinContent(31,eight1n1n1n1n1n1n1n1n); + + // average 8-particle correlations for all events: + fIntFlowCorrelationsAllPro->Fill(30.5,eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.)); + + // store separetately <8> (to be improved: do I really need this?) + fIntFlowCorrelationsEBE->SetBinContent(4,eight1n1n1n1n1n1n1n1n); // <8> + + // to be improved (this can be implemented better): + Double_t mWeight8p = 0.; + if(!strcmp(fMultiplicityWeight->Data(),"combinations")) + { + mWeight8p = dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.); + } else if(!strcmp(fMultiplicityWeight->Data(),"unit")) + { + mWeight8p = 1.; + } else if(!strcmp(fMultiplicityWeight->Data(),"multiplicity")) + { + mWeight8p = dMult; + } + + fIntFlowEventWeightsForCorrelationsEBE->SetBinContent(4,mWeight8p); // eW_<8> + fIntFlowCorrelationsPro->Fill(3.5,eight1n1n1n1n1n1n1n1n,mWeight8p); + fIntFlowCorrelationsVsMPro[3]->Fill(dMult+0.5,eight1n1n1n1n1n1n1n1n,mWeight8p); + + // distribution of + //f8pDistribution->Fill(eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.)); + } // end of if(dMult>7) + +} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrelations() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowProductOfCorrelations() +{ + // Calculate averages of products of correlations for integrated flow. + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + Int_t counter = 0; + + for(Int_t ci1=1;ci1<4;ci1++) + { + for(Int_t ci2=ci1+1;ci2<=4;ci2++) + { + fIntFlowProductOfCorrelationsPro->Fill(0.5+counter, + fIntFlowCorrelationsEBE->GetBinContent(ci1)* + fIntFlowCorrelationsEBE->GetBinContent(ci2), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci1)* + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci2)); + // products versus multiplicity: // [0=<<2><4>>,1=<<2><6>>,2=<<2><8>>,3=<<4><6>>,4=<<4><8>>,5=<<6><8>>] + fIntFlowProductOfCorrelationsVsMPro[counter]->Fill(dMult+0.5, + fIntFlowCorrelationsEBE->GetBinContent(ci1)* + fIntFlowCorrelationsEBE->GetBinContent(ci2), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci1)* + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci2)); + counter++; } - - if(type == "POI") - { - // p_{m*n,0}: - p1n0kRe = fReRPQ1dEBE[1][pe][0][0]->GetBinContent(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)) - * fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); - p1n0kIm = fImRPQ1dEBE[1][pe][0][0]->GetBinContent(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)) - * fImRPQ1dEBE[1][pe][0][0]->GetBinEntries(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)); - - mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) - - t = 1; // typeFlag = RP or POI - } - else if(type == "RP") - { - // p_{m*n,0} = q_{m*n,0}: - p1n0kRe = q1n0kRe; - p1n0kIm = q1n0kIm; - - mp = mq; - - t = 0; // typeFlag = RP or POI - } - - // 2'-particle correlation for particular (pt,eta) bin: - Double_t two1n1nPtEta = 0.; - if(mp*dMult-mq) - { - two1n1nPtEta = (p1n0kRe*dReQ1n+p1n0kIm*dImQ1n-mq) - / (mp*dMult-mq); - - if(type == "POI") - { - // fill profile to get <<2'>> for POIs - fDiffFlowCorrelationsPro[1][pe][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],two1n1nPtEta,mp*dMult-mq); - // histogram to store <2'> for POIs e-b-e (needed in some other methods): - fDiffFlowCorrelationsEBE[1][pe][0]->SetBinContent(b,two1n1nPtEta); - } - else if(type == "RP") - { - // profile to get <<2'>> for RPs: - fDiffFlowCorrelationsPro[0][pe][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],two1n1nPtEta,mp*dMult-mq); - // histogram to store <2'> for RPs e-b-e (needed in some other methods): - fDiffFlowCorrelationsEBE[0][pe][0]->SetBinContent(b,two1n1nPtEta); - } - } // end of if(mp*dMult-mq) - - // 4'-particle correlation: - Double_t four1n1n1n1nPtEta = 0.; - if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) // to be improved (introduce a new variable for this expression) - { - four1n1n1n1nPtEta = ((pow(dReQ1n,2.)+pow(dImQ1n,2.))*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) - - q2n0kRe*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) - - 2.*q2n0kIm*dReQ1n*dImQ1n - - p1n0kRe*(dReQ1n*dReQ2n+dImQ1n*dImQ2n) - + p1n0kIm*(dImQ1n*dReQ2n-dReQ1n*dImQ2n) - - 2.*dMult*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) - - 2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*mq - + 6.*(q1n0kRe*dReQ1n+q1n0kIm*dImQ1n) - + 1.*(q2n0kRe*dReQ2n+q2n0kIm*dImQ2n) - + 2.*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) - + 2.*mq*dMult - - 6.*mq) - / ((mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - - if(type == "POI") - { - // profile to get <<4'>> for POIs: - fDiffFlowCorrelationsPro[1][pe][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],four1n1n1n1nPtEta, - (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - // histogram to store <4'> for POIs e-b-e (needed in some other methods): - fDiffFlowCorrelationsEBE[1][pe][1]->SetBinContent(b,four1n1n1n1nPtEta); - } - else if(type == "RP") - { - // profile to get <<4'>> for RPs: - fDiffFlowCorrelationsPro[0][pe][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],four1n1n1n1nPtEta, - (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); - // histogram to store <4'> for RPs e-b-e (needed in some other methods): - fDiffFlowCorrelationsEBE[0][pe][1]->SetBinContent(b,four1n1n1n1nPtEta); - } - } // end of if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) - // +mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) - - } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) - - -} // end of void AliFlowAnalysisWithQCumulants::CalculateReducedCorrelations1D(TString type, TString ptOrEta); - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfEventWeights(TString type, TString ptOrEta) -{ - // Calculate sums of various event weights for reduced correlations. - // (These quantitites are needed in expressions for unbiased estimators relevant for the statistical errors.) - - Int_t typeFlag = -1; - Int_t ptEtaFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } - - if(ptOrEta == "Pt") - { - ptEtaFlag = 0; - } else if(ptOrEta == "Eta") - { - ptEtaFlag = 1; - } - - // shortcuts: - Int_t t = typeFlag; - Int_t pe = ptEtaFlag; - - // binning: - Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; - Double_t minPtEta[2] = {fPtMin,fEtaMin}; - //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; - Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; - - for(Int_t rpq=0;rpq<3;rpq++) - { - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - if(!fReRPQ1dEBE[rpq][pe][m][k]) - { - cout<<"WARNING: fReRPQ1dEBE[rpq][pe][m][k] is NULL in AFAWQC::CSAPOEWFDF() !!!!"<GetBinEntries(b); - mp = mq; // trick to use the very same Eqs. bellow both for RP's and POI's diff. flow - } else if(type == "POI") - { - mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(b); - mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(b); - } - - // event weight for <2'>: - dw2 = mp*dMult-mq; - fDiffFlowSumOfEventWeights[t][pe][0][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2); - fDiffFlowSumOfEventWeights[t][pe][1][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw2,2.)); - - // event weight for <4'>: - dw4 = (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.); - fDiffFlowSumOfEventWeights[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4); - fDiffFlowSumOfEventWeights[t][pe][1][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw4,2.)); - - // event weight for <6'>: - //dw6 = ...; - //fDiffFlowSumOfEventWeights[t][pe][0][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6); - //fDiffFlowSumOfEventWeights[t][pe][t][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw6,2.)); - - // event weight for <8'>: - //dw8 = ...; - //fDiffFlowSumOfEventWeights[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw8); - //fDiffFlowSumOfEventWeights[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw8,2.)); - } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) - -} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfEventWeights() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfProductOfEventWeights(TString type, TString ptOrEta) -{ - // Calculate sum of products of various event weights for both types of correlations (the ones for int. and diff. flow). - // (These quantitites are needed in expressions for unbiased estimators relevant for the statistical errors.) - // - // Important: To fill fDiffFlowSumOfProductOfEventWeights[][][][] use bellow table (i,j) with following constraints: - // 1.) i,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] x [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] - - Int_t typeFlag = -1; - Int_t ptEtaFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } - - if(ptOrEta == "Pt") - { - ptEtaFlag = 0; - } else if(ptOrEta == "Eta") - { - ptEtaFlag = 1; - } - - // shortcuts: - Int_t t = typeFlag; - Int_t pe = ptEtaFlag; - - // binning: - Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; - Double_t minPtEta[2] = {fPtMin,fEtaMin}; - //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; - Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; - - // protection: - for(Int_t rpq=0;rpq<3;rpq++) - { - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - if(!fReRPQ1dEBE[rpq][pe][m][k]) - { - cout<<"WARNING: fReRPQ1dEBE[rpq][pe][m][k] is NULL in AFAWQC::CSAPOEWFDF() !!!!"<GetBinEntries(b); - mp = mq; // trick to use the very same Eqs. bellow both for RP's and POI's diff. flow - } else if(type == "POI") - { - mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(b); - mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(b); - } - - // event weight for <2'>: - dw2 = mp*dMult-mq; - fDiffFlowSumOfProductOfEventWeights[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw2); // storing product of even weights for <2> and <2'> - fDiffFlowSumOfProductOfEventWeights[t][pe][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dW4); // storing product of even weights for <4> and <2'> - fDiffFlowSumOfProductOfEventWeights[t][pe][1][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dW6); // storing product of even weights for <6> and <2'> - fDiffFlowSumOfProductOfEventWeights[t][pe][1][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dW8); // storing product of even weights for <8> and <2'> - - // event weight for <4'>: - dw4 = (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.); - fDiffFlowSumOfProductOfEventWeights[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw4); // storing product of even weights for <2> and <4'> - fDiffFlowSumOfProductOfEventWeights[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dw4); // storing product of even weights for <2'> and <4'> - fDiffFlowSumOfProductOfEventWeights[t][pe][2][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW4*dw4); // storing product of even weights for <4> and <4'> - fDiffFlowSumOfProductOfEventWeights[t][pe][3][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dW6); // storing product of even weights for <6> and <4'> - fDiffFlowSumOfProductOfEventWeights[t][pe][3][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dW8); // storing product of even weights for <8> and <4'> - - // event weight for <6'>: - //dw6 = ...; - //fDiffFlowSumOfProductOfEventWeights[t][pe][0][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw6); // storing product of even weights for <2> and <6'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][1][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dw6); // storing product of even weights for <2'> and <6'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][2][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW4*dw6); // storing product of even weights for <4> and <6'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][3][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dw6); // storing product of even weights for <4'> and <6'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][4][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW6*dw6); // storing product of even weights for <6> and <6'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][5][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6*dW8); // storing product of even weights for <6'> and <8> - //fDiffFlowSumOfProductOfEventWeights[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6*dw8); // storing product of even weights for <6'> and <8'> - - // event weight for <8'>: - //dw8 = ...; - //fDiffFlowSumOfProductOfEventWeights[t][pe][0][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw8); // storing product of even weights for <2> and <8'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][1][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dw8); // storing product of even weights for <2'> and <8'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][2][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW4*dw8); // storing product of even weights for <4> and <8'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][3][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dw8); // storing product of even weights for <4'> and <8'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][4][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW6*dw8); // storing product of even weights for <6> and <8'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6*dw8); // storing product of even weights for <6'> and <8'> - //fDiffFlowSumOfProductOfEventWeights[t][pe][6][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW8*dw8); // storing product of even weights for <8> and <8'> - - // Table: - // [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] x [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] - - } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) - - - -} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfProductOfEventWeights(TString type, TString ptOrEta) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::FinalizeReducedCorrelations(TString type, TString ptOrEta) -{ - // Transfer profiles into histograms and calculate statistical errors correctly. - - Int_t typeFlag = -1; - Int_t ptEtaFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } - - if(ptOrEta == "Pt") - { - ptEtaFlag = 0; - } else if(ptOrEta == "Eta") - { - ptEtaFlag = 1; - } - - // shortcuts: - Int_t t = typeFlag; - Int_t pe = ptEtaFlag; - - for(Int_t rci=0;rci<4;rci++) - { - if(!fDiffFlowCorrelationsPro[t][pe][rci]) - { - cout<<"WARNING: fDiffFlowCorrelationsPro[t][pe][rci] is NULL in AFAWQC::FRC() !!!!"< - Double_t fourEBE = 0.; // <4> - Double_t sixEBE = 0.; // <6> - Double_t eightEBE = 0.; // <8> - - if(dMult>1) - { - twoEBE = fIntFlowCorrelationsEBE->GetBinContent(1); - if(dMult>3) - { - fourEBE = fIntFlowCorrelationsEBE->GetBinContent(2); - if(dMult>5) - { - sixEBE = fIntFlowCorrelationsEBE->GetBinContent(3); - if(dMult>7) - { - eightEBE = fIntFlowCorrelationsEBE->GetBinContent(4); - } - } - } - } - - // event weights for correlations: - Double_t dW2 = dMult*(dMult-1); // event weight for <2> - Double_t dW4 = dMult*(dMult-1)*(dMult-2)*(dMult-3); // event weight for <4> - Double_t dW6 = dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5); // event weight for <6> - Double_t dW8 = dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5)*(dMult-6)*(dMult-7); // event weight for <8> - - // e-b-e reduced correlations: - Double_t twoReducedEBE = 0.; // <2'> - Double_t fourReducedEBE = 0.; // <4'> - Double_t sixReducedEBE = 0.; // <6'> - Double_t eightReducedEBE = 0.; // <8'> - - // event weights for reduced correlations: - Double_t dw2 = 0.; // event weight for <2'> - Double_t dw4 = 0.; // event weight for <4'> - //Double_t dw6 = 0.; // event weight for <6'> - //Double_t dw8 = 0.; // event weight for <8'> - - // looping over bins: - for(Int_t b=1;b<=nBinsPtEta[pe];b++) - { - // e-b-e reduced correlations: - twoReducedEBE = fDiffFlowCorrelationsEBE[t][pe][0]->GetBinContent(b); - fourReducedEBE = fDiffFlowCorrelationsEBE[t][pe][1]->GetBinContent(b); - sixReducedEBE = fDiffFlowCorrelationsEBE[t][pe][2]->GetBinContent(b); - eightReducedEBE = fDiffFlowCorrelationsEBE[t][pe][3]->GetBinContent(b); - - // to be improved (I should not do this here again) - if(type == "RP") - { - mq = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(b); - mp = mq; // trick to use the very same Eqs. bellow both for RP's and POI's diff. flow - } else if(type == "POI") - { - mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(b); - mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(b); - } - - // event weights for reduced correlations: - dw2 = mp*dMult-mq; // weight for <2'> - dw4 = (mp-mq)*dMult*(dMult-1.)*(dMult-2.) - + mq*(dMult-1.)*(dMult-2.)*(dMult-3.); // weight for <4'> - //dw6 = ... - //dw8 = ... - - // storing all products: - fDiffFlowProductOfCorrelationsPro[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*twoReducedEBE,dW2*dw2); // storing <2><2'> - fDiffFlowProductOfCorrelationsPro[t][pe][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*twoReducedEBE,dW4*dw2); // storing <4><2'> - fDiffFlowProductOfCorrelationsPro[t][pe][1][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*twoReducedEBE,dW6*dw2); // storing <6><2'> - fDiffFlowProductOfCorrelationsPro[t][pe][1][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],eightEBE*twoReducedEBE,dW8*dw2); // storing <8><2'> - - // event weight for <4'>: - fDiffFlowProductOfCorrelationsPro[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*fourReducedEBE,dW2*dw4); // storing <2><4'> - fDiffFlowProductOfCorrelationsPro[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoReducedEBE*fourReducedEBE,dw2*dw4); // storing <2'><4'> - fDiffFlowProductOfCorrelationsPro[t][pe][2][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*fourReducedEBE,dW4*dw4); // storing <4><4'> - fDiffFlowProductOfCorrelationsPro[t][pe][3][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*fourReducedEBE,dW6*dw4); // storing <6><4'> - fDiffFlowProductOfCorrelationsPro[t][pe][3][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],eightEBE*fourReducedEBE,dW8*dw4); // storing <8><4'> - - // event weight for <6'>: - //dw6 = ...; - //fDiffFlowProductOfCorrelationsPro[t][pe][0][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*sixReducedEBE,dW2*dw6); // storing <2><6'> - //fDiffFlowProductOfCorrelationsPro[t][pe][1][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoReducedEBE*sixReducedEBE,dw2*dw6); // storing <2'><6'> - //fDiffFlowProductOfCorrelationsPro[t][pe][2][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*sixReducedEBE,dW4*dw6); // storing <4><6'> - //fDiffFlowProductOfCorrelationsPro[t][pe][3][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourReducedEBE*sixReducedEBE,dw4*dw6); // storing <4'><6'> - //fDiffFlowProductOfCorrelationsPro[t][pe][4][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*sixReducedEBE,dW6*dw6); // storing <6><6'> - //fDiffFlowProductOfCorrelationsPro[t][pe][5][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixReducedEBE*eightEBE,dw6*dW8); // storing <6'><8> - //fDiffFlowProductOfCorrelationsPro[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixReducedEBE*eightReducedEBE,dw6*dw8); // storing <6'><8'> - - // event weight for <8'>: - //dw8 = ...; - //fDiffFlowProductOfCorrelationsPro[t][pe][0][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*eightReducedEBE,dW2*dw8); // storing <2><8'> - //fDiffFlowProductOfCorrelationsPro[t][pe][1][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoReducedEBE*eightReducedEBE,dw2*dw8); // storing <2'><8'> - //fDiffFlowProductOfCorrelationsPro[t][pe][2][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*eightReducedEBE,dW4*dw8); // storing <4><8'> - //fDiffFlowProductOfCorrelationsPro[t][pe][3][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourReducedEBE*eightReducedEBE,dw4*dw8); // storing <4'><8'> - //fDiffFlowProductOfCorrelationsPro[t][pe][4][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*eightReducedEBE,dW6*dw8); // storing <6><8'> - //fDiffFlowProductOfCorrelationsPro[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixReducedEBE*eightReducedEBE,dw6*dw8); // storing <6'><8'> - //fDiffFlowProductOfCorrelationsPro[t][pe][6][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],eightEBE*eightReducedEBE,dW8*dw8); // storing <8><8'> - } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++ - -} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowProductOfCorrelations(TString type, TString ptOrEta) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCovariances(TString type, TString ptOrEta) // to be improved (reimplemented) -{ - // a) Calculate unbiased estimators Cov(<2>,<2'>), Cov(<2>,<4'>), Cov(<4>,<2'>), Cov(<4>,<4'>) and Cov(<2'>,<4'>) - // for covariances V(<2>,<2'>), V(<2>,<4'>), V(<4>,<2'>), V(<4>,<4'>) and V(<2'>,<4'>). - // b) Store in histogram fDiffFlowCovariances[t][pe][index] for instance the following: - // - // Cov(<2>,<2'>) * (sum_{i=1}^{N} w_{<2>}_i w_{<2'>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<2'>}_j)] - // - // where N is the number of events, w_{<2>} is event weight for <2> and w_{<2'>} is event weight for <2'>. - // c) Binning of fDiffFlowCovariances[t][pe][index] is organized as follows: - // - // 1st bin: Cov(<2>,<2'>) * (sum_{i=1}^{N} w_{<2>}_i w_{<2'>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<2'>}_j)] - // 2nd bin: Cov(<2>,<4'>) * (sum_{i=1}^{N} w_{<2>}_i w_{<4'>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<4'>}_j)] - // 3rd bin: Cov(<4>,<2'>) * (sum_{i=1}^{N} w_{<4>}_i w_{<2'>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<2'>}_j)] - // 4th bin: Cov(<4>,<4'>) * (sum_{i=1}^{N} w_{<4>}_i w_{<4'>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<4'>}_j)] - // 5th bin: Cov(<2'>,<4'>) * (sum_{i=1}^{N} w_{<2'>}_i w_{<4'>}_i )/[(sum_{i=1}^{N} w_{<2'>}_i) * (sum_{j=1}^{N} w_{<4'>}_j)] - // ... - - Int_t typeFlag = -1; - Int_t ptEtaFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } - - if(ptOrEta == "Pt") - { - ptEtaFlag = 0; - } else if(ptOrEta == "Eta") - { - ptEtaFlag = 1; - } - - // shortcuts: - Int_t t = typeFlag; - Int_t pe = ptEtaFlag; - - // common: - Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; - //Double_t minPtEta[2] = {fPtMin,fEtaMin}; - //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; - //Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; - - // average correlations: - Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); // <<2>> - Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> - //Double_t six = fIntFlowCorrelationsHist->GetBinContent(3); // <<6>> - //Double_t eight = fIntFlowCorrelationsHist->GetBinContent(4); // <<8>> - - // sum of weights for correlation: - Double_t sumOfWeightsForTwo = fIntFlowSumOfEventWeights[0]->GetBinContent(1); // sum_{i=1}^{N} w_{<2>} - Double_t sumOfWeightsForFour = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // sum_{i=1}^{N} w_{<4>} - //Double_t sumOfWeightsForSix = fIntFlowSumOfEventWeights[0]->GetBinContent(3); // sum_{i=1}^{N} w_{<6>} - //Double_t sumOfWeightsForEight = fIntFlowSumOfEventWeights[0]->GetBinContent(4); // sum_{i=1}^{N} w_{<8>} - - // average reduced correlations: - Double_t twoReduced = 0.; // <<2'>> - Double_t fourReduced = 0.; // <<4'>> - //Double_t sixReduced = 0.; // <<6'>> - //Double_t eightReduced = 0.; // <<8'>> - - // sum of weights for reduced correlation: - Double_t sumOfWeightsForTwoReduced = 0.; // sum_{i=1}^{N} w_{<2'>} - Double_t sumOfWeightsForFourReduced = 0.; // sum_{i=1}^{N} w_{<4'>} - //Double_t sumOfWeightsForSixReduced = 0.; // sum_{i=1}^{N} w_{<6'>} - //Double_t sumOfWeightsForEightReduced = 0.; // sum_{i=1}^{N} w_{<8'>} - - // product of weights for reduced correlation: - Double_t productOfWeightsForTwoTwoReduced = 0.; // sum_{i=1}^{N} w_{<2>}w_{<2'>} - Double_t productOfWeightsForTwoFourReduced = 0.; // sum_{i=1}^{N} w_{<2>}w_{<4'>} - Double_t productOfWeightsForFourTwoReduced = 0.; // sum_{i=1}^{N} w_{<4>}w_{<2'>} - Double_t productOfWeightsForFourFourReduced = 0.; // sum_{i=1}^{N} w_{<4>}w_{<4'>} - Double_t productOfWeightsForTwoReducedFourReduced = 0.; // sum_{i=1}^{N} w_{<2'>}w_{<4'>} - // ... - - // products for differential flow: - Double_t twoTwoReduced = 0; // <<2><2'>> - Double_t twoFourReduced = 0; // <<2><4'>> - Double_t fourTwoReduced = 0; // <<4><2'>> - Double_t fourFourReduced = 0; // <<4><4'>> - Double_t twoReducedFourReduced = 0; // <<2'><4'>> - - // denominators in the expressions for the unbiased estimators for covariances: - // denominator = 1 - term1/(term2*term3) - // prefactor = term1/(term2*term3) - Double_t denominator = 0.; - Double_t prefactor = 0.; - Double_t term1 = 0.; - Double_t term2 = 0.; - Double_t term3 = 0.; - - // unbiased estimators for covariances for differential flow: - Double_t covTwoTwoReduced = 0.; // Cov(<2>,<2'>) - Double_t wCovTwoTwoReduced = 0.; // Cov(<2>,<2'>) * prefactor(w_{<2>},w_{<2'>}) - Double_t covTwoFourReduced = 0.; // Cov(<2>,<4'>) - Double_t wCovTwoFourReduced = 0.; // Cov(<2>,<4'>) * prefactor(w_{<2>},w_{<4'>}) - Double_t covFourTwoReduced = 0.; // Cov(<4>,<2'>) - Double_t wCovFourTwoReduced = 0.; // Cov(<4>,<2'>) * prefactor(w_{<4>},w_{<2'>}) - Double_t covFourFourReduced = 0.; // Cov(<4>,<4'>) - Double_t wCovFourFourReduced = 0.; // Cov(<4>,<4'>) * prefactor(w_{<4>},w_{<4'>}) - Double_t covTwoReducedFourReduced = 0.; // Cov(<2'>,<4'>) - Double_t wCovTwoReducedFourReduced = 0.; // Cov(<2'>,<4'>) * prefactor(w_{<2'>},w_{<4'>}) - - for(Int_t b=1;b<=nBinsPtEta[pe];b++) - { - // average reduced corelations: - twoReduced = fDiffFlowCorrelationsHist[t][pe][0]->GetBinContent(b); - fourReduced = fDiffFlowCorrelationsHist[t][pe][1]->GetBinContent(b); - // average products: - twoTwoReduced = fDiffFlowProductOfCorrelationsPro[t][pe][0][1]->GetBinContent(b); - twoFourReduced = fDiffFlowProductOfCorrelationsPro[t][pe][0][3]->GetBinContent(b); - fourTwoReduced = fDiffFlowProductOfCorrelationsPro[t][pe][1][2]->GetBinContent(b); - fourFourReduced = fDiffFlowProductOfCorrelationsPro[t][pe][2][3]->GetBinContent(b); - twoReducedFourReduced = fDiffFlowProductOfCorrelationsPro[t][pe][1][3]->GetBinContent(b); - // sum of weights for reduced correlations: - sumOfWeightsForTwoReduced = fDiffFlowSumOfEventWeights[t][pe][0][0]->GetBinContent(b); - sumOfWeightsForFourReduced = fDiffFlowSumOfEventWeights[t][pe][0][1]->GetBinContent(b); - // products of weights for correlations: - productOfWeightsForTwoTwoReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][0][1]->GetBinContent(b); - productOfWeightsForTwoFourReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][0][3]->GetBinContent(b); - productOfWeightsForFourTwoReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][1][2]->GetBinContent(b); - productOfWeightsForFourFourReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][2][3]->GetBinContent(b); - productOfWeightsForTwoReducedFourReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][1][3]->GetBinContent(b); - // denominator for the unbiased estimator for covariances: 1 - term1/(term2*term3) - // prefactor (multiplies Cov's) = term1/(term2*term3) - // <2>,<2'>: - term1 = productOfWeightsForTwoTwoReduced; - term2 = sumOfWeightsForTwo; - term3 = sumOfWeightsForTwoReduced; - if(term2*term3>0.) - { - denominator = 1.-term1/(term2*term3); - prefactor = term1/(term2*term3); - if(denominator!=0.) - { - covTwoTwoReduced = (twoTwoReduced-two*twoReduced)/denominator; - wCovTwoTwoReduced = covTwoTwoReduced*prefactor; - fDiffFlowCovariances[t][pe][0]->SetBinContent(b,wCovTwoTwoReduced); - } - } - // <2>,<4'>: - term1 = productOfWeightsForTwoFourReduced; - term2 = sumOfWeightsForTwo; - term3 = sumOfWeightsForFourReduced; - if(term2*term3>0.) - { - denominator = 1.-term1/(term2*term3); - prefactor = term1/(term2*term3); - if(denominator!=0.) - { - covTwoFourReduced = (twoFourReduced-two*fourReduced)/denominator; - wCovTwoFourReduced = covTwoFourReduced*prefactor; - fDiffFlowCovariances[t][pe][1]->SetBinContent(b,wCovTwoFourReduced); - } - } - // <4>,<2'>: - term1 = productOfWeightsForFourTwoReduced; - term2 = sumOfWeightsForFour; - term3 = sumOfWeightsForTwoReduced; - if(term2*term3>0.) - { - denominator = 1.-term1/(term2*term3); - prefactor = term1/(term2*term3); - if(denominator!=0.) - { - covFourTwoReduced = (fourTwoReduced-four*twoReduced)/denominator; - wCovFourTwoReduced = covFourTwoReduced*prefactor; - fDiffFlowCovariances[t][pe][2]->SetBinContent(b,wCovFourTwoReduced); - } - } - // <4>,<4'>: - term1 = productOfWeightsForFourFourReduced; - term2 = sumOfWeightsForFour; - term3 = sumOfWeightsForFourReduced; - if(term2*term3>0.) - { - denominator = 1.-term1/(term2*term3); - prefactor = term1/(term2*term3); - if(denominator!=0.) - { - covFourFourReduced = (fourFourReduced-four*fourReduced)/denominator; - wCovFourFourReduced = covFourFourReduced*prefactor; - fDiffFlowCovariances[t][pe][3]->SetBinContent(b,wCovFourFourReduced); - } - } - // <2'>,<4'>: - term1 = productOfWeightsForTwoReducedFourReduced; - term2 = sumOfWeightsForTwoReduced; - term3 = sumOfWeightsForFourReduced; - if(term2*term3>0.) - { - denominator = 1.-term1/(term2*term3); - prefactor = term1/(term2*term3); - if(denominator!=0.) - { - covTwoReducedFourReduced = (twoReducedFourReduced-twoReduced*fourReduced)/denominator; - wCovTwoReducedFourReduced = covTwoReducedFourReduced*prefactor; - fDiffFlowCovariances[t][pe][4]->SetBinContent(b,wCovTwoReducedFourReduced); - } - } - - } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) - - - -} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCovariances(TString type, TString ptOrEta) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::CalculateDiffFlow(TString type, TString ptOrEta) -{ - // calculate differential flow from differential cumulants and previously obtained integrated flow: (to be improved: description) - - Int_t typeFlag = -1; - Int_t ptEtaFlag = -1; - - if(type == "RP") - { - typeFlag = 0; - } else if(type == "POI") - { - typeFlag = 1; - } - - if(ptOrEta == "Pt") - { - ptEtaFlag = 0; - } else if(ptOrEta == "Eta") - { - ptEtaFlag = 1; - } - - // shortcuts: - Int_t t = typeFlag; - Int_t pe = ptEtaFlag; - - // common: - Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; - - // correlations: - Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); // <<2>> - Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> - - // statistical errors of correlations: - Double_t twoError = fIntFlowCorrelationsHist->GetBinError(1); - Double_t fourError = fIntFlowCorrelationsHist->GetBinError(2); - - // reduced correlations: - Double_t twoReduced = 0.; // <<2'>> - Double_t fourReduced = 0.; // <<4'>> - - // statistical errors of reduced correlations: - Double_t twoReducedError = 0.; - Double_t fourReducedError = 0.; - - // covariances: - Double_t wCovTwoFour = fIntFlowCovariances->GetBinContent(1);// // Cov(<2>,<4>) * prefactor(<2>,<4>) - Double_t wCovTwoTwoReduced = 0.; // Cov(<2>,<2'>) * prefactor(<2>,<2'>) - Double_t wCovTwoFourReduced = 0.; // Cov(<2>,<4'>) * prefactor(<2>,<4'>) - Double_t wCovFourTwoReduced = 0.; // Cov(<4>,<2'>) * prefactor(<4>,<2'>) - Double_t wCovFourFourReduced = 0.; // Cov(<4>,<4'>) * prefactor(<4>,<4'>) - Double_t wCovTwoReducedFourReduced = 0.; // Cov(<2'>,<4'>) * prefactor(<2'>,<4'>) - - // differential flow: - Double_t v2Prime = 0.; // v'{2} - Double_t v4Prime = 0.; // v'{4} - - // statistical error of differential flow: - Double_t v2PrimeError = 0.; - Double_t v4PrimeError = 0.; - - // squared statistical error of differential flow: - Double_t v2PrimeErrorSquared = 0.; - Double_t v4PrimeErrorSquared = 0.; - - // loop over pt or eta bins: - for(Int_t b=1;b<=nBinsPtEta[pe];b++) - { - // reduced correlations and statistical errors: - twoReduced = fDiffFlowCorrelationsHist[t][pe][0]->GetBinContent(b); - twoReducedError = fDiffFlowCorrelationsHist[t][pe][0]->GetBinError(b); - fourReduced = fDiffFlowCorrelationsHist[t][pe][1]->GetBinContent(b); - fourReducedError = fDiffFlowCorrelationsHist[t][pe][1]->GetBinError(b); - // covariances: - wCovTwoTwoReduced = fDiffFlowCovariances[t][pe][0]->GetBinContent(b); - wCovTwoFourReduced = fDiffFlowCovariances[t][pe][1]->GetBinContent(b); - wCovFourTwoReduced = fDiffFlowCovariances[t][pe][2]->GetBinContent(b); - wCovFourFourReduced = fDiffFlowCovariances[t][pe][3]->GetBinContent(b); - wCovTwoReducedFourReduced = fDiffFlowCovariances[t][pe][4]->GetBinContent(b); - // differential flow: - // v'{2}: - if(two>0.) - { - v2Prime = twoReduced/pow(two,0.5); - v2PrimeErrorSquared = (1./4.)*pow(two,-3.)* - (pow(twoReduced,2.)*pow(twoError,2.) - + 4.*pow(two,2.)*pow(twoReducedError,2.) - - 4.*two*twoReduced*wCovTwoTwoReduced); - - - if(v2PrimeErrorSquared>0.) v2PrimeError = pow(v2PrimeErrorSquared,0.5); - fDiffFlow[t][pe][0]->SetBinContent(b,v2Prime); - fDiffFlow[t][pe][0]->SetBinError(b,v2PrimeError); - } - // differential flow: - // v'{4} - if(2.*pow(two,2.)-four > 0.) - { - v4Prime = (2.*two*twoReduced-fourReduced)/pow(2.*pow(two,2.)-four,3./4.); - v4PrimeErrorSquared = pow(2.*pow(two,2.)-four,-7./2.)* - (pow(2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced,2.)*pow(twoError,2.) - + (9./16.)*pow(2.*two*twoReduced-fourReduced,2.)*pow(fourError,2.) - + 4.*pow(two,2.)*pow(2.*pow(two,2.)-four,2.)*pow(twoReducedError,2.) - + pow(2.*pow(two,2.)-four,2.)*pow(fourReducedError,2.) - - (3./2.)*(2.*two*twoReduced-fourReduced) - * (2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced)*wCovTwoFour - - 4.*two*(2.*pow(two,2.)-four) - * (2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced)*wCovTwoTwoReduced - + 2.*(2.*pow(two,2.)-four) - * (2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced)*wCovTwoFourReduced - + 3.*two*(2.*pow(two,2.)-four)*(2.*two*twoReduced-fourReduced)*wCovFourTwoReduced - - (3./2.)*(2.*pow(two,2.)-four)*(2.*two*twoReduced-fourReduced)*wCovFourFourReduced - - 4.*two*pow(2.*pow(two,2.)-four,2.)*wCovTwoReducedFourReduced); - if(v4PrimeErrorSquared>0.) v4PrimeError = pow(v4PrimeErrorSquared,0.5); - fDiffFlow[t][pe][1]->SetBinContent(b,v4Prime); - fDiffFlow[t][pe][1]->SetBinError(b,v4PrimeError); - } - - } // end of for(Int_t b=1;b<=fnBinsPtEta[pe];b++) - - - - - /* - // 2D: - for(Int_t nua=0;nua<2;nua++) - { - for(Int_t p=1;p<=fnBinsPt;p++) - { - for(Int_t e=1;e<=fnBinsEta;e++) - { - // differential cumulants: - Double_t qc2Prime = fFinalCumulants2D[t][pW][eW][nua][0]->GetBinContent(fFinalCumulants2D[t][pW][eW][nua][0]->GetBin(p,e)); // QC{2'} - Double_t qc4Prime = fFinalCumulants2D[t][pW][eW][nua][1]->GetBinContent(fFinalCumulants2D[t][pW][eW][nua][1]->GetBin(p,e)); // QC{4'} - // differential flow: - Double_t v2Prime = 0.; - Double_t v4Prime = 0.; - if(v2) - { - v2Prime = qc2Prime/v2; - fFinalFlow2D[t][pW][eW][nua][0]->SetBinContent(fFinalFlow2D[t][pW][eW][nua][0]->GetBin(p,e),v2Prime); - } - if(v4) - { - v4Prime = -qc4Prime/pow(v4,3.); - fFinalFlow2D[t][pW][eW][nua][1]->SetBinContent(fFinalFlow2D[t][pW][eW][nua][1]->GetBin(p,e),v4Prime); - } - } // end of for(Int_t e=1;e<=fnBinsEta;e++) - } // end of for(Int_t p=1;p<=fnBinsPt;p++) - } // end of for(Int_t nua=0;nua<2;nua++) - */ - -} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlow(TString type, Bool_t useParticleWeights) - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::StoreIntFlowFlags() -{ - // a) Store all flags for integrated flow in profile fIntFlowFlags. - - if(!fIntFlowFlags) - { - cout<<"WARNING: fIntFlowFlags is NULL in AFAWQC::SFFIF() !!!!"<Fill(0.5,(Int_t)fUsePhiWeights||fUsePtWeights||fUseEtaWeights); // particle weights used or not - //fIntFlowFlags->Fill(1.5,""); // which event weight was used? // to be improved - fIntFlowFlags->Fill(2.5,(Int_t)fApplyCorrectionForNUA); // corrected for non-uniform acceptance or not - -} // end of void AliFlowAnalysisWithQCumulants::StoreIntFlowFlags() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::StoreDiffFlowFlags() -{ - // Store all flags for differential flow in the profile fDiffFlowFlags. - - if(!fDiffFlowFlags) - { - cout<<"WARNING: fDiffFlowFlags is NULL in AFAWQC::SFFDF() !!!!"<Fill(0.5,fUsePhiWeights||fUsePtWeights||fUseEtaWeights); // particle weights used or not - //fDiffFlowFlags->Fill(1.5,""); // which event weight was used? // to be improved - fDiffFlowFlags->Fill(2.5,fApplyCorrectionForNUA); // corrected for non-uniform acceptance or not - fDiffFlowFlags->Fill(3.5,fCalculate2DFlow); // calculate also 2D differential flow in (pt,eta) or not - -} // end of void AliFlowAnalysisWithQCumulants::StoreDiffFlowFlags() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::GetPointersForCommonHistograms(TList *outputListHistos) -{ - // Access all pointers to common control and common result histograms and profiles. - - if(outputListHistos) - { - TString commonHistsName = "AliFlowCommonHistQC"; - commonHistsName += fAnalysisLabel->Data(); - AliFlowCommonHist *commonHist = dynamic_cast(outputListHistos->FindObject(commonHistsName.Data())); - if(commonHist) this->SetCommonHists(commonHist); - TString commonHists2ndOrderName = "AliFlowCommonHist2ndOrderQC"; - commonHists2ndOrderName += fAnalysisLabel->Data(); - AliFlowCommonHist *commonHist2nd = dynamic_cast(outputListHistos->FindObject(commonHists2ndOrderName.Data())); - if(commonHist2nd) this->SetCommonHists2nd(commonHist2nd); - TString commonHists4thOrderName = "AliFlowCommonHist4thOrderQC"; - commonHists4thOrderName += fAnalysisLabel->Data(); - AliFlowCommonHist *commonHist4th = dynamic_cast(outputListHistos->FindObject(commonHists4thOrderName.Data())); - if(commonHist4th) this->SetCommonHists4th(commonHist4th); - TString commonHists6thOrderName = "AliFlowCommonHist6thOrderQC"; - commonHists6thOrderName += fAnalysisLabel->Data(); - AliFlowCommonHist *commonHist6th = dynamic_cast(outputListHistos->FindObject(commonHists6thOrderName.Data())); - if(commonHist6th) this->SetCommonHists6th(commonHist6th); - TString commonHists8thOrderName = "AliFlowCommonHist8thOrderQC"; - commonHists8thOrderName += fAnalysisLabel->Data(); - AliFlowCommonHist *commonHist8th = dynamic_cast(outputListHistos->FindObject(commonHists8thOrderName.Data())); - if(commonHist8th) this->SetCommonHists8th(commonHist8th); - TString commonHistResults2ndOrderName = "AliFlowCommonHistResults2ndOrderQC"; - commonHistResults2ndOrderName += fAnalysisLabel->Data(); - AliFlowCommonHistResults *commonHistRes2nd = dynamic_cast - (outputListHistos->FindObject(commonHistResults2ndOrderName.Data())); - if(commonHistRes2nd) this->SetCommonHistsResults2nd(commonHistRes2nd); - TString commonHistResults4thOrderName = "AliFlowCommonHistResults4thOrderQC"; - commonHistResults4thOrderName += fAnalysisLabel->Data(); - AliFlowCommonHistResults *commonHistRes4th = dynamic_cast - (outputListHistos->FindObject(commonHistResults4thOrderName.Data())); - if(commonHistRes4th) this->SetCommonHistsResults4th(commonHistRes4th); - TString commonHistResults6thOrderName = "AliFlowCommonHistResults6thOrderQC"; - commonHistResults6thOrderName += fAnalysisLabel->Data(); - AliFlowCommonHistResults *commonHistRes6th = dynamic_cast - (outputListHistos->FindObject(commonHistResults6thOrderName.Data())); - if(commonHistRes6th) this->SetCommonHistsResults6th(commonHistRes6th); - TString commonHistResults8thOrderName = "AliFlowCommonHistResults8thOrderQC"; - commonHistResults8thOrderName += fAnalysisLabel->Data(); - AliFlowCommonHistResults *commonHistRes8th = dynamic_cast - (outputListHistos->FindObject(commonHistResults8thOrderName.Data())); - if(commonHistRes8th) this->SetCommonHistsResults8th(commonHistRes8th); - } else - { - cout<<"WARNING: outputListHistos is NULL in AFAWQC::GPFCH() !!!!"<(outputListHistos->FindObject("Weights")); - if(weightsList) this->SetWeightsList(weightsList); - Bool_t bUsePhiWeights = kFALSE; - Bool_t bUsePtWeights = kFALSE; - Bool_t bUseEtaWeights = kFALSE; - TString fUseParticleWeightsName = "fUseParticleWeightsQC"; // to be improved (hirdwired label QC) - fUseParticleWeightsName += fAnalysisLabel->Data(); - TProfile *useParticleWeights = dynamic_cast(weightsList->FindObject(fUseParticleWeightsName.Data())); - if(useParticleWeights) - { - this->SetUseParticleWeights(useParticleWeights); - bUsePhiWeights = (Int_t)useParticleWeights->GetBinContent(1); - bUsePtWeights = (Int_t)useParticleWeights->GetBinContent(2); - bUseEtaWeights = (Int_t)useParticleWeights->GetBinContent(3); - } - } else - { - cout<<"WARNING: outputListHistos is NULL in AFAWQC::GPFPWH() !!!!"<(outputListHistos->FindObject("Integrated Flow")); - if(!intFlowList) - { - cout<<"WARNING: intFlowList is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TProfile *intFlowFlags = dynamic_cast(intFlowList->FindObject(intFlowFlagsName.Data())); - Bool_t bApplyCorrectionForNUA = kFALSE; - if(intFlowFlags) - { - this->SetIntFlowFlags(intFlowFlags); - bApplyCorrectionForNUA = (Int_t)intFlowFlags->GetBinContent(3); - this->SetApplyCorrectionForNUA(bApplyCorrectionForNUA); - } else - { - cout<<"WARNING: intFlowFlags is NULL in FAWQC::GPFIFH() !!!!"<(intFlowList->FindObject("Profiles")); - if(intFlowProfiles) - { - // average multiplicities: - TString avMultiplicityName = "fAvMultiplicity"; - avMultiplicityName += fAnalysisLabel->Data(); - TProfile *avMultiplicity = dynamic_cast(intFlowProfiles->FindObject(avMultiplicityName.Data())); - if(avMultiplicity) - { - this->SetAvMultiplicity(avMultiplicity); - } else - { - cout<<"WARNING: avMultiplicity is NULL in AFAWQC::GPFIFH() !!!!"<>, <<4>>, <<6>> and <<8>> (with wrong errors!): - TString intFlowCorrelationsProName = "fIntFlowCorrelationsPro"; - intFlowCorrelationsProName += fAnalysisLabel->Data(); - TProfile *intFlowCorrelationsPro = dynamic_cast(intFlowProfiles->FindObject(intFlowCorrelationsProName.Data())); - if(intFlowCorrelationsPro) - { - this->SetIntFlowCorrelationsPro(intFlowCorrelationsPro); - } else - { - cout<<"WARNING: intFlowCorrelationsPro is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TProfile *intFlowCorrelationsAllPro = dynamic_cast(intFlowProfiles->FindObject(intFlowCorrelationsAllProName.Data())); - if(intFlowCorrelationsAllPro) - { - this->SetIntFlowCorrelationsAllPro(intFlowCorrelationsAllPro); - } else - { - cout<<"WARNING: intFlowCorrelationsAllPro is NULL in AFAWQC::GPFIFH() !!!!"<, <4>, <6> and <8>: - TString intFlowProductOfCorrelationsProName = "fIntFlowProductOfCorrelationsPro"; - intFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); - TProfile *intFlowProductOfCorrelationsPro = dynamic_cast(intFlowProfiles->FindObject(intFlowProductOfCorrelationsProName.Data())); - if(intFlowProductOfCorrelationsPro) - { - this->SetIntFlowProductOfCorrelationsPro(intFlowProductOfCorrelationsPro); - } else - { - cout<<"WARNING: intFlowProductOfCorrelationsPro is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TProfile *intFlowCorrectionTermsForNUAPro = dynamic_cast(intFlowProfiles->FindObject((Form("%s: %s terms",intFlowCorrectionTermsForNUAProName.Data(),sinCosFlag[sc].Data())))); - if(intFlowCorrectionTermsForNUAPro) - { - this->SetIntFlowCorrectionTermsForNUAPro(intFlowCorrectionTermsForNUAPro,sc); - } else - { - cout<<"WARNING: intFlowCorrectionTermsForNUAPro is NULL in AFAWQC::GPFIFH() !!!!"<(intFlowList->FindObject("Results")); - if(intFlowResults) - { - // average correlations <<2>>, <<4>>, <<6>> and <<8>> (with correct errors!): - TString intFlowCorrelationsHistName = "fIntFlowCorrelationsHist"; - intFlowCorrelationsHistName += fAnalysisLabel->Data(); - TH1D *intFlowCorrelationsHist = dynamic_cast(intFlowResults->FindObject(intFlowCorrelationsHistName.Data())); - if(intFlowCorrelationsHist) - { - this->SetIntFlowCorrelationsHist(intFlowCorrelationsHist); - } else - { - cout<<"WARNING: intFlowCorrelationsHist is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TH1D *intFlowCorrelationsAllHist = dynamic_cast(intFlowResults->FindObject(intFlowCorrelationsAllHistName.Data())); - if(intFlowCorrelationsAllHist) - { - this->SetIntFlowCorrelationsAllHist(intFlowCorrelationsAllHist); - } else - { - cout<<"WARNING: intFlowCorrelationsAllHist is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - for(Int_t sc=0;sc<2;sc++) - { - TH1D *intFlowCorrectionTermsForNUAHist = dynamic_cast(intFlowResults->FindObject((Form("%s: %s terms",intFlowCorrectionTermsForNUAHistName.Data(),sinCosFlag[sc].Data())))); - if(intFlowCorrectionTermsForNUAHist) - { - this->SetIntFlowCorrectionTermsForNUAHist(intFlowCorrectionTermsForNUAHist,sc); - } else - { - cout<<"WARNING: intFlowCorrectionTermsForNUAHist is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TH1D *intFlowCovariances = dynamic_cast(intFlowResults->FindObject(intFlowCovariancesName.Data())); - if(intFlowCovariances) - { - this->SetIntFlowCovariances(intFlowCovariances); - } else - { - cout<<"WARNING: intFlowCovariances is NULL in AFAWQC::GPFIFH() !!!!"<, <4>, <6> and <8>: - TString intFlowSumOfEventWeightsName = "fIntFlowSumOfEventWeights"; - intFlowSumOfEventWeightsName += fAnalysisLabel->Data(); - for(Int_t power=0;power<2;power++) - { - TH1D *intFlowSumOfEventWeights = dynamic_cast(intFlowResults->FindObject(Form("%s: %s",intFlowSumOfEventWeightsName.Data(),powerFlag[power].Data()))); - if(intFlowSumOfEventWeights) - { - this->SetIntFlowSumOfEventWeights(intFlowSumOfEventWeights,power); - } else - { - cout<<"WARNING: intFlowSumOfEventWeights is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TH1D *intFlowSumOfProductOfEventWeights = dynamic_cast(intFlowResults->FindObject(intFlowSumOfProductOfEventWeightsName.Data())); - if(intFlowSumOfProductOfEventWeights) - { - this->SetIntFlowSumOfProductOfEventWeights(intFlowSumOfProductOfEventWeights); - } else - { - cout<<"WARNING: intFlowSumOfProductOfEventWeights is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TH1D *intFlowQcumulants = dynamic_cast(intFlowResults->FindObject(intFlowQcumulantsName.Data())); - if(intFlowQcumulants) - { - this->SetIntFlowQcumulants(intFlowQcumulants); - } else - { - cout<<"WARNING: intFlowQcumulants is NULL in AFAWQC::GPFIFH() !!!!"<Data(); - TH1D *intFlow = dynamic_cast(intFlowResults->FindObject(intFlowName.Data())); - if(intFlow) - { - this->SetIntFlow(intFlow); - } else - { - cout<<"WARNING: intFlow is NULL in AFAWQC::GPFIFH() !!!!"<","<4'>","<6'>","<8'>"}; - TString mixedCorrelationIndex[8] = {"<2>","<2'>","<4>","<4'>","<6>","<6'>","<8>","<8'>"}; - TString covarianceName[5] = {"Cov(<2>,<2'>)","Cov(<2>,<4'>)","Cov(<4>,<2'>)","Cov(<4>,<4'>)","Cov(<2'>,<4'>)"}; - - // b) Get pointer to base list for differential flow fDiffFlowList and nested lists fDiffFlowListProfiles and fDiffFlowListResults: - TList *diffFlowList = NULL; - diffFlowList = dynamic_cast(outputListHistos->FindObject("Differential Flow")); - if(!diffFlowList) - { - cout<<"WARNING: diffFlowList is NULL in AFAWQC::GPFDFH() !!!!"<(diffFlowList->FindObject("Profiles")); - if(!diffFlowListProfiles) - { - cout<<"WARNING: diffFlowListProfiles is NULL in AFAWQC::GPFDFH() !!!!"<(diffFlowList->FindObject("Results")); - if(!diffFlowListResults) - { - cout<<"WARNING: diffFlowListResults is NULL in AFAWQC::GPFDFH() !!!!"<Data(); - TProfile *diffFlowFlags = dynamic_cast(diffFlowList->FindObject(diffFlowFlagsName.Data())); - Bool_t bCalculate2DFlow = kFALSE; - if(diffFlowFlags) - { - this->SetDiffFlowFlags(diffFlowFlags); - bCalculate2DFlow = (Int_t)diffFlowFlags->GetBinContent(4); - this->SetCalculate2DFlow(bCalculate2DFlow); // to be improved (shoul I call this setter somewhere else?) - } - - // d) Get pointers to all nested lists in fDiffFlowListProfiles and to profiles which they hold; - // correlations: - TList *diffFlowCorrelationsProList[2][2] = {{NULL}}; - TString diffFlowCorrelationsProName = "fDiffFlowCorrelationsPro"; - diffFlowCorrelationsProName += fAnalysisLabel->Data(); - TProfile *diffFlowCorrelationsPro[2][2][4] = {{{NULL}}}; - // products of correlations: - TList *diffFlowProductOfCorrelationsProList[2][2] = {{NULL}}; - TString diffFlowProductOfCorrelationsProName = "fDiffFlowProductOfCorrelationsPro"; - diffFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); - TProfile *diffFlowProductOfCorrelationsPro[2][2][8][8] = {{{{NULL}}}}; - // corrections: - TList *diffFlowCorrectionsProList[2][2] = {{NULL}}; - // ... - for(Int_t t=0;t<2;t++) - { - for(Int_t pe=0;pe<2;pe++) - { - diffFlowCorrelationsProList[t][pe] = dynamic_cast(diffFlowListProfiles->FindObject(Form("Profiles with correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data()))); - if(!diffFlowCorrelationsProList[t][pe]) - { - cout<<"WARNING: diffFlowCorrelationsProList[t][pe] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCorrelationsPro(diffFlowCorrelationsPro[t][pe][ci],t,pe,ci); - } else - { - cout<<"WARNING: diffFlowCorrelationsPro[t][pe][ci] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowProductOfCorrelationsPro(diffFlowProductOfCorrelationsPro[t][pe][mci1][mci2],t,pe,mci1,mci2); - } else - { - cout<<"WARNING: diffFlowCorrelationsPro[t][pe][ci] is NULL in AFAWQC::GPFDFH() !!!!"<Data(); - TH1D *diffFlowCorrelationsHist[2][2][4] = {{{NULL}}}; - // differential Q-cumulants: - TList *diffFlowCumulantsHistList[2][2] = {{NULL}}; - TString diffFlowCumulantsName = "fDiffFlowCumulants"; - diffFlowCumulantsName += fAnalysisLabel->Data(); - TH1D *diffFlowCumulants[2][2][4] = {{{NULL}}}; - // differential flow estimates from Q-cumulants: - TList *diffFlowHistList[2][2] = {{NULL}}; - TString diffFlowName = "fDiffFlow"; - diffFlowName += fAnalysisLabel->Data(); - TH1D *diffFlow[2][2][4] = {{{NULL}}}; - // differential covariances: - TList *diffFlowCovariancesHistList[2][2] = {{NULL}}; - TString diffFlowCovariancesName = "fDiffFlowCovariances"; - diffFlowCovariancesName += fAnalysisLabel->Data(); - TH1D *diffFlowCovariances[2][2][5] = {{{NULL}}}; - for(Int_t t=0;t<2;t++) // type: RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - // reduced correlations: - diffFlowCorrelationsHistList[t][pe] = dynamic_cast(diffFlowListResults->FindObject(Form("Correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data()))); - if(!diffFlowCorrelationsHistList[t][pe]) - { - cout<<"WARNING: diffFlowCorrelationsHistList[t][pe] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCorrelationsHist(diffFlowCorrelationsHist[t][pe][index],t,pe,index); - } else - { - cout<<"WARNING: diffFlowCorrelationsHist[t][pe][index] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCumulants(diffFlowCumulants[t][pe][index],t,pe,index); - } else - { - cout<<"WARNING: diffFlowCumulants[t][pe][index] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlow(diffFlow[t][pe][index],t,pe,index); - } else - { - cout<<"WARNING: diffFlow[t][pe][index] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCovariances(diffFlowCovariances[t][pe][covIndex],t,pe,covIndex); - } else - { - cout<<"WARNING: diffFlowCovariances[t][pe][covIndex] is NULL in AFAWQC::GPFDFH() !!!!"<Data(); - TH1D *diffFlowSumOfEventWeights[2][2][2][4] = {{{{NULL}}}}; - for(Int_t t=0;t<2;t++) // type is RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t p=0;p<2;p++) // power of event weights is either 1 or 2 - { - diffFlowSumOfEventWeightsHistList[t][pe][p] = dynamic_cast(diffFlowListResults->FindObject(Form("Sum of %s event weights (%s, %s)",powerFlag[p].Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data()))); - if(!diffFlowSumOfEventWeightsHistList[t][pe][p]) - { - cout<<"WARNING: diffFlowSumOfEventWeightsHistList[t][pe][p] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowSumOfEventWeights(diffFlowSumOfEventWeights[t][pe][p][ew],t,pe,p,ew); - } else - { - cout<<"WARNING: diffFlowSumOfEventWeights[t][pe][p][ew] is NULL in AFAWQC::GPFDFH() !!!!"<Data(); - TH1D *diffFlowSumOfProductOfEventWeights[2][2][8][8] = {{{{NULL}}}}; - for(Int_t t=0;t<2;t++) // type is RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - diffFlowSumOfProductOfEventWeightsHistList[t][pe] = dynamic_cast(diffFlowListResults->FindObject(Form("Sum of products of event weights (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data()))); - if(!diffFlowSumOfProductOfEventWeightsHistList[t][pe]) - { - cout<<"WARNING: diffFlowSumOfProductOfEventWeightsHistList[t][pe] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowSumOfProductOfEventWeights(diffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2],t,pe,mci1,mci2); - } else - { - cout<<"WARNING: diffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2] is NULL in AFAWQC::GPFDFH() !!!!"<","<4'>","<6'>","<8'>"}; - TString mixedCorrelationIndex[8] = {"<2>","<2'>","<4>","<4'>","<6>","<6'>","<8>","<8'>"}; - TString covarianceName[5] = {"Cov(<2>,<2'>)","Cov(<2>,<4'>)","Cov(<4>,<2'>)","Cov(<4>,<4'>)","Cov(<2'>,<4'>)"}; - Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; - Double_t minPtEta[2] = {fPtMin,fEtaMin}; - Double_t maxPtEta[2] = {fPtMax,fEtaMax}; - - // b) Book profile to hold all flags for differential flow: - TString diffFlowFlagsName = "fDiffFlowFlags"; - diffFlowFlagsName += fAnalysisLabel->Data(); - fDiffFlowFlags = new TProfile(diffFlowFlagsName.Data(),"Flags for Differential Flow",4,0,4); - fDiffFlowFlags->SetTickLength(-0.01,"Y"); - fDiffFlowFlags->SetMarkerStyle(25); - fDiffFlowFlags->SetLabelSize(0.05); - fDiffFlowFlags->SetLabelOffset(0.02,"Y"); - (fDiffFlowFlags->GetXaxis())->SetBinLabel(1,"Particle Weights"); - (fDiffFlowFlags->GetXaxis())->SetBinLabel(2,"Event Weights"); - (fDiffFlowFlags->GetXaxis())->SetBinLabel(3,"Corrected for NUA?"); - (fDiffFlowFlags->GetXaxis())->SetBinLabel(4,"Calculated 2D flow?"); - fDiffFlowList->Add(fDiffFlowFlags); - - // c) Book e-b-e quantities: - // Event-by-event r_{m*n,k}(pt,eta), p_{m*n,k}(pt,eta) and q_{m*n,k}(pt,eta) - // Explanantion of notation: - // 1.) n is harmonic, m is multiple of harmonic; - // 2.) k is power of particle weight; - // 3.) r_{m*n,k}(pt,eta) = Q-vector evaluated in harmonic m*n for RPs in particular (pt,eta) bin (i-th RP is weighted with w_i^k); - // 4.) p_{m*n,k}(pt,eta) = Q-vector evaluated in harmonic m*n for POIs in particular (pt,eta) bin - // (if i-th POI is also RP, than it is weighted with w_i^k); - // 5.) q_{m*n,k}(pt,eta) = Q-vector evaluated in harmonic m*n for particles which are both RPs and POIs in particular (pt,eta) bin - // (i-th RP&&POI is weighted with w_i^k) - - // 1D: - for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP && POI ) - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t m=0;m<4;m++) // multiple of harmonic - { - for(Int_t k=0;k<9;k++) // power of particle weight - { - fReRPQ1dEBE[t][pe][m][k] = new TProfile(Form("TypeFlag%dpteta%dmultiple%dpower%dRe",t,pe,m,k), - Form("TypeFlag%dpteta%dmultiple%dpower%dRe",t,pe,m,k),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fImRPQ1dEBE[t][pe][m][k] = new TProfile(Form("TypeFlag%dpteta%dmultiple%dpower%dIm",t,pe,m,k), - Form("TypeFlag%dpteta%dmultiple%dpower%dIm",t,pe,m,k),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - } - } - } - } - // to be improved (add explanation of fs1dEBE[t][pe][k]): - for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP&&POI ) - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t k=0;k<9;k++) // power of particle weight - { - fs1dEBE[t][pe][k] = new TProfile(Form("TypeFlag%dpteta%dmultiple%d",t,pe,k), - Form("TypeFlag%dpteta%dmultiple%d",t,pe,k),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - } - } - } - // 2D: - TProfile2D styleRe("typeMultiplePowerRe","typeMultiplePowerRe",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax); - TProfile2D styleIm("typeMultiplePowerIm","typeMultiplePowerIm",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax); - for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP&&POI ) - { - for(Int_t m=0;m<4;m++) - { - for(Int_t k=0;k<9;k++) - { - fReRPQ2dEBE[t][m][k] = (TProfile2D*)styleRe.Clone(Form("typeFlag%dmultiple%dpower%dRe",t,m,k)); - fImRPQ2dEBE[t][m][k] = (TProfile2D*)styleIm.Clone(Form("typeFlag%dmultiple%dpower%dIm",t,m,k)); - } - } - } - TProfile2D styleS("typePower","typePower",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax); - for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP&&POI ) - { - for(Int_t k=0;k<9;k++) - { - fs2dEBE[t][k] = (TProfile2D*)styleS.Clone(Form("typeFlag%dpower%d",t,k)); - } - } - // reduced correlations e-b-e: - TString diffFlowCorrelationsEBEName = "fDiffFlowCorrelationsEBE"; - diffFlowCorrelationsEBEName += fAnalysisLabel->Data(); - for(Int_t t=0;t<2;t++) // type: RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t rci=0;rci<4;rci++) // reduced correlation index - { - fDiffFlowCorrelationsEBE[t][pe][rci] = new TH1D(Form("%s, %s, %s, %s",diffFlowCorrelationsEBEName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),Form("%s, %s, %s, %s",diffFlowCorrelationsEBEName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - } // end of for(Int_t ci=0;ci<4;ci++) // correlation index - } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta - } // end of for(Int_t t=0;t<2;t++) // type: RP or POI - - // d) Book profiles; - // reduced correlations: - TString diffFlowCorrelationsProName = "fDiffFlowCorrelationsPro"; - diffFlowCorrelationsProName += fAnalysisLabel->Data(); - for(Int_t t=0;t<2;t++) // type: RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t rci=0;rci<4;rci++) // reduced correlation index - { - // reduced correlations: - fDiffFlowCorrelationsPro[t][pe][rci] = new TProfile(Form("%s, %s, %s, %s",diffFlowCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),Form("%s, %s, %s, %s",diffFlowCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe],"s"); - fDiffFlowCorrelationsPro[t][pe][rci]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowCorrelationsProList[t][pe]->Add(fDiffFlowCorrelationsPro[t][pe][rci]); // to be improved (add dedicated list to hold reduced correlations) - } // end of for(Int_t rci=0;rci<4;rci++) // correlation index - } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta - } // end of for(Int_t t=0;t<2;t++) // type: RP or POI - - // e) Book histograms holding final results. - // reduced correlations: - TString diffFlowCorrelationsHistName = "fDiffFlowCorrelationsHist"; - diffFlowCorrelationsHistName += fAnalysisLabel->Data(); - // differential covariances: - TString diffFlowCovariancesName = "fDiffFlowCovariances"; - diffFlowCovariancesName += fAnalysisLabel->Data(); - // differential Q-cumulants: - TString diffFlowCumulantsName = "fDiffFlowCumulants"; - diffFlowCumulantsName += fAnalysisLabel->Data(); - // differential flow: - TString diffFlowName = "fDiffFlow"; - diffFlowName += fAnalysisLabel->Data(); - for(Int_t t=0;t<2;t++) // type: RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t index=0;index<4;index++) - { - // reduced correlations: - fDiffFlowCorrelationsHist[t][pe][index] = new TH1D(Form("%s, %s, %s, %s",diffFlowCorrelationsHistName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[index].Data()),Form("%s, %s, %s, %s",diffFlowCorrelationsHistName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[index].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fDiffFlowCorrelationsHist[t][pe][index]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowCorrelationsHistList[t][pe]->Add(fDiffFlowCorrelationsHist[t][pe][index]); - // differential Q-cumulants: - fDiffFlowCumulants[t][pe][index] = new TH1D(Form("%s, %s, %s, %s",diffFlowCumulantsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialCumulantIndex[index].Data()),Form("%s, %s, %s, %s",diffFlowCumulantsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialCumulantIndex[index].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fDiffFlowCumulants[t][pe][index]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowCumulantsHistList[t][pe]->Add(fDiffFlowCumulants[t][pe][index]); - // differential flow estimates from Q-cumulants: - fDiffFlow[t][pe][index] = new TH1D(Form("%s, %s, %s, %s",diffFlowName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialFlowIndex[index].Data()),Form("%s, %s, %s, %s",diffFlowName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialFlowIndex[index].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fDiffFlow[t][pe][index]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowHistList[t][pe]->Add(fDiffFlow[t][pe][index]); - } // end of for(Int_t index=0;index<4;index++) - for(Int_t covIndex=0;covIndex<5;covIndex++) // covariance index - { - // differential covariances: - fDiffFlowCovariances[t][pe][covIndex] = new TH1D(Form("%s, %s, %s, %s",diffFlowCovariancesName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),covarianceName[covIndex].Data()),Form("%s, %s, %s, %s",diffFlowCovariancesName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),covarianceName[covIndex].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fDiffFlowCovariances[t][pe][covIndex]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowCovariancesHistList[t][pe]->Add(fDiffFlowCovariances[t][pe][covIndex]); - } // end of for(Int_t covIndex=0;covIndex<5;covIndex++) // covariance index - // products of both types of correlations: - TString diffFlowProductOfCorrelationsProName = "fDiffFlowProductOfCorrelationsPro"; - diffFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); - for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index - { - for(Int_t mci2=mci1+1;mci2<8;mci2++) // mixed correlation index - { - fDiffFlowProductOfCorrelationsPro[t][pe][mci1][mci2] = new TProfile(Form("%s, %s, %s, %s, %s",diffFlowProductOfCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),Form("%s, %s, %s, %s #times %s",diffFlowProductOfCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fDiffFlowProductOfCorrelationsPro[t][pe][mci1][mci2]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowProductOfCorrelationsProList[t][pe]->Add(fDiffFlowProductOfCorrelationsPro[t][pe][mci1][mci2]); - if(mci1%2 == 0) mci2++; // products which DO NOT include reduced correlations are not stored here - } // end of for(Int_t mci2=mci1+1;mci2<8;mci2++) // mixed correlation index - } // end of for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index - } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta - } // end of for(Int_t t=0;t<2;t++) // type: RP or POI - // sums of event weights for reduced correlations: - TString diffFlowSumOfEventWeightsName = "fDiffFlowSumOfEventWeights"; - diffFlowSumOfEventWeightsName += fAnalysisLabel->Data(); - for(Int_t t=0;t<2;t++) // type is RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t p=0;p<2;p++) // power of weights is either 1 or 2 - { - for(Int_t ew=0;ew<4;ew++) // index of reduced correlation - { - fDiffFlowSumOfEventWeights[t][pe][p][ew] = new TH1D(Form("%s, %s, %s, %s, %s",diffFlowSumOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),powerFlag[p].Data(),reducedCorrelationIndex[ew].Data()),Form("%s, %s, %s, power = %s, %s",diffFlowSumOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),powerFlag[p].Data(),reducedCorrelationIndex[ew].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fDiffFlowSumOfEventWeights[t][pe][p][ew]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowSumOfEventWeightsHistList[t][pe][p]->Add(fDiffFlowSumOfEventWeights[t][pe][p][ew]); // to be improved (add dedicated list to hold all this) - } - } - } - } - // sum of products of event weights for both types of correlations: - TString diffFlowSumOfProductOfEventWeightsName = "fDiffFlowSumOfProductOfEventWeights"; - diffFlowSumOfProductOfEventWeightsName += fAnalysisLabel->Data(); - for(Int_t t=0;t<2;t++) // type is RP or POI - { - for(Int_t pe=0;pe<2;pe++) // pt or eta - { - for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index - { - for(Int_t mci2=mci1+1;mci2<8;mci2++) // mixed correlation index - { - fDiffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2] = new TH1D(Form("%s, %s, %s, %s, %s",diffFlowSumOfProductOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),Form("%s, %s, %s, %s #times %s",diffFlowSumOfProductOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); - fDiffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2]->SetXTitle(ptEtaFlag[pe].Data()); - fDiffFlowSumOfProductOfEventWeightsHistList[t][pe]->Add(fDiffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2]); - if(mci1%2 == 0) mci2++; // products which DO NOT include reduced correlations are not stored here - } - } - } - } - -} // end of AliFlowAnalysisWithQCumulants::BookEverythingForDifferentialFlow() - - -//================================================================================================================================ - -/* -void AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNUAForIntQcumulants() // to be improved (do I really need this method?) -{ - // Calculate final corrections for non-uniform acceptance for Q-cumulants. - - // Corrections for non-uniform acceptance are stored in histogram fCorrectionsForNUA, - // binning of fCorrectionsForNUA is organized as follows: - // - // 1st bin: correction to QC{2} - // 2nd bin: correction to QC{4} - // 3rd bin: correction to QC{6} - // 4th bin: correction to QC{8} - - // shortcuts flags: - Int_t pW = (Int_t)(useParticleWeights); - - Int_t eW = -1; - - if(eventWeights == "exact") - { - eW = 0; - } - - for(Int_t sc=0;sc<2;sc++) // sin or cos terms flag - { - if(!(fQCorrelations[pW][eW] && fQCorrections[pW][eW][sc] && fCorrections[pW][eW])) - { - cout<<"WARNING: fQCorrelations[pW][eW] && fQCorrections[pW][eW][sc] && fCorrections[pW][eW] is NULL in AFAWQC::CFCFNUAFIF() !!!!"< 0.) - { - termB = 1./pow(1-pow(termA,2.),0.5); - } else - { - cout<<"WARNING: 1.-pow(termA,2.) <= 0 in AFAWQC::FCIF() !!!!"<SetBinContent(ci,correction); - //fIntFlowCorrectionTermsForNUAHist[sc]->SetBinError(ci,statisticalError); - } // end of for(Int_t ci=1;ci<=10;ci++) // correction term index - } // end of for(Int sc=0;sc<2;sc++) // sin or cos correction terms - -} // end of void AliFlowAnalysisWithQCumulants::FinalizeCorrectionTermsForNUAIntFlow() - - -//================================================================================================================================ - - -void AliFlowAnalysisWithQCumulants::GetPointersForNestedLoopsHistograms(TList *outputListHistos) -{ - // Get pointers to all objects relevant for calculations with nested loops. - - // to be improved: harwired names for some objects here (fix this in paralel with method BookEverythingForNestedLoops()) - - if(outputListHistos) - { - TList *nestedLoopsList = dynamic_cast(outputListHistos->FindObject("Nested Loops")); - if(nestedLoopsList) - { - this->SetNestedLoopsList(nestedLoopsList); - } else - { - cout<<"WARNING: nestedLoopsList is NULL in AFAWQC::GPFNLH() !!!!"<Data(); - TProfile *evaluateNestedLoops = dynamic_cast(nestedLoopsList->FindObject(evaluateNestedLoopsName.Data())); - Bool_t bEvaluateNestedLoopsForIntFlow = kFALSE; - Bool_t bEvaluateNestedLoopsForDiffFlow = kFALSE; - if(evaluateNestedLoops) - { - this->SetEvaluateNestedLoops(evaluateNestedLoops); - bEvaluateNestedLoopsForIntFlow = (Int_t)evaluateNestedLoops->GetBinContent(1); - bEvaluateNestedLoopsForDiffFlow = (Int_t)evaluateNestedLoops->GetBinContent(2); - } - // nested loops relevant for integrated flow: - if(bEvaluateNestedLoopsForIntFlow) - { - TProfile *directCorrelations = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelation")); - if(directCorrelations) this->SetDirectCorrelations(directCorrelations); - TProfile *directCorrectionsCos = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsCos")); - if(directCorrectionsCos) this->SetDirectCorrectionsCos(directCorrectionsCos); - TProfile *directCorrectionsSin = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsSin")); - if(directCorrectionsSin) this->SetDirectCorrectionsSin(directCorrectionsSin); - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) // to be improved (this is a weak point, because now this method MUST be called after GPFWG where these booleans are set) - { - TProfile *directCorrelationsW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelationW")); - if(directCorrelationsW) this->SetDirectCorrelationsW(directCorrelationsW); - TProfile *directCorrectionsCosW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsCosW")); - if(directCorrectionsCosW) this->SetDirectCorrectionsCosW(directCorrectionsCosW); - TProfile *directCorrectionsSinW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsSinW")); - if(directCorrectionsSinW) this->SetDirectCorrectionsSinW(directCorrectionsSinW); - } - } - // nested loops relevant for differential flow: - if(bEvaluateNestedLoopsForDiffFlow) - { - TProfile *directCorrelationsDiffFlow = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelationsDiffFlow")); - if(directCorrelationsDiffFlow) this->SetDirectCorrelationsDiffFlow(directCorrelationsDiffFlow); - TProfile *directCorrectionsDiffFlowCos = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowCos")); - if(directCorrectionsDiffFlowCos) this->SetDirectCorrectionsDiffFlowCos(directCorrectionsDiffFlowCos); - TProfile *directCorrectionsDiffFlowSin = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowSin")); - if(directCorrectionsDiffFlowSin) this->SetDirectCorrectionsDiffFlowSin(directCorrectionsDiffFlowSin); - if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights) // to be improved (this is a weak point, because now this method MUST be called after GPFWG where these booleans are set) - { - TProfile *directCorrelationsDiffFlowW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrelationsDiffFlowW")); - if(directCorrelationsDiffFlowW) this->SetDirectCorrelationsDiffFlowW(directCorrelationsDiffFlowW); - TProfile *directCorrectionsDiffFlowCosW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowCosW")); - if(directCorrectionsDiffFlowCosW) this->SetDirectCorrectionsDiffFlowCosW(directCorrectionsDiffFlowCosW); - TProfile *directCorrectionsDiffFlowSinW = dynamic_cast(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowSinW")); - if(directCorrectionsDiffFlowSinW) this->SetDirectCorrectionsDiffFlowSinW(directCorrectionsDiffFlowSinW); - } - } // end of if(bEvaluateNestedLoopsForDiffFlow) - } else - { - cout<<"WARNING: outputListHistos is NULL in AFAWQC::GPFNLH() !!!!"<GetHarmonic())->Fill(0.5,fHarmonic); - (fCommonHists2nd->GetHarmonic())->Fill(0.5,fHarmonic); - (fCommonHists4th->GetHarmonic())->Fill(0.5,fHarmonic); - (fCommonHists6th->GetHarmonic())->Fill(0.5,fHarmonic); - (fCommonHists8th->GetHarmonic())->Fill(0.5,fHarmonic); - -} // end of void AliFlowAnalysisWithQCumulants::StoreHarmonic() - - - + } + +} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowProductOfCorrelations() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowProductOfCorrectionTermsForNUA() +{ + // Calculate averages of products of correction terms for NUA. + + // a) Binning of fIntFlowProductOfCorrectionTermsForNUAPro is organized as follows: + // 1st bin: <<2>> + // 2nd bin: <<2>> + // 3rd bin: <> + // 4th bin: <<2>> + // 5th bin: <<2>> + // 6th bin: <<2>> + // 7th bin: <<2>> + // 8th bin: <<4>> + // 9th bin: <<4>> + // 10th bin: <<4>> + // 11th bin: <<4>> + // 12th bin: <<4>> + // 13th bin: <<4>> + // 14th bin: <> + // 15th bin: <> + // 16th bin: <> + // 17th bin: <> + // 18th bin: <> + // 19th bin: <> + // 20th bin: <> + // 21st bin: <> + // 22nd bin: <> + // 23rd bin: <> + // 24th bin: <> + // 25th bin: <> + // 26th bin: <> + // 27th bin: <> + + // <<2>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(0.5, + fIntFlowCorrelationsEBE->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(1), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)); + // <<2>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(1.5, + fIntFlowCorrelationsEBE->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(1), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(2.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(1), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)); + // <<2>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(3.5, + fIntFlowCorrelationsEBE->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(2), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // <<2>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(4.5, + fIntFlowCorrelationsEBE->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(2), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // <<2>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(5.5, + fIntFlowCorrelationsEBE->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(3), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // <<2>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(6.5, + fIntFlowCorrelationsEBE->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(3), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // <<4>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(7.5, + fIntFlowCorrelationsEBE->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(1), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)); + // <<4>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(8.5, + fIntFlowCorrelationsEBE->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(1), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)); + // <<4>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(9.5, + fIntFlowCorrelationsEBE->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(2), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // <<4>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(10.5, + fIntFlowCorrelationsEBE->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(2), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // <<4>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(11.5, + fIntFlowCorrelationsEBE->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(3), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // <<4>>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(12.5, + fIntFlowCorrelationsEBE->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(3), + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(13.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(2), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(14.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(2), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(15.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(16.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(17.5, + fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(2), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(18.5, + fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(2), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(19.5, + fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(20.5, + fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(1)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(21.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(2), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(22.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(23.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(24.5, + fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(25.5, + fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(2)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // <>: + fIntFlowProductOfCorrectionTermsForNUAPro->Fill(26.5, + fIntFlowCorrectionTermsForNUAEBE[1]->GetBinContent(3)*fIntFlowCorrectionTermsForNUAEBE[0]->GetBinContent(3), + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3) + *fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + +} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowProductOfCorrectionTermsForNUA() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateCovariancesIntFlow() +{ + // a) Calculate unbiased estimators Cov(<2>,<4>), Cov(<2>,<6>), Cov(<2>,<8>), Cov(<4>,<6>), Cov(<4>,<8>) and Cov(<6>,<8>) + // for covariances V_(<2>,<4>), V_(<2>,<6>), V_(<2>,<8>), V_(<4>,<6>), V_(<4>,<8>) and V_(<6>,<8>). + // b) Store in histogram fIntFlowCovariances for instance the following: + // + // Cov(<2>,<4>) * (sum_{i=1}^{N} w_{<2>}_i w_{<4>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<4>}_j)] + // + // where N is the number of events, w_{<2>} is event weight for <2> and w_{<4>} is event weight for <4>. + // c) Binning of fIntFlowCovariances is organized as follows: + // + // 1st bin: Cov(<2>,<4>) * (sum_{i=1}^{N} w_{<2>}_i w_{<4>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<4>}_j)] + // 2nd bin: Cov(<2>,<6>) * (sum_{i=1}^{N} w_{<2>}_i w_{<6>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<6>}_j)] + // 3rd bin: Cov(<2>,<8>) * (sum_{i=1}^{N} w_{<2>}_i w_{<8>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<8>}_j)] + // 4th bin: Cov(<4>,<6>) * (sum_{i=1}^{N} w_{<4>}_i w_{<6>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<6>}_j)] + // 5th bin: Cov(<4>,<8>) * (sum_{i=1}^{N} w_{<4>}_i w_{<8>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<8>}_j)] + // 6th bin: Cov(<6>,<8>) * (sum_{i=1}^{N} w_{<6>}_i w_{<8>}_i )/[(sum_{i=1}^{N} w_{<6>}_i) * (sum_{j=1}^{N} w_{<8>}_j)] + + for(Int_t power=0;power<2;power++) + { + if(!(fIntFlowCorrelationsPro && fIntFlowProductOfCorrelationsPro + && fIntFlowSumOfEventWeights[power] && fIntFlowSumOfProductOfEventWeights + && fIntFlowCovariances)) + { + cout<<"WARNING: fIntFlowCorrelationsPro && fIntFlowProductOfCorrelationsPro "<SetBinContent(1,wPrefactor1*covariance1); + + // Cov(<2>,): + Double_t product2 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(2); // <<2>> + Double_t term1st2 = fIntFlowCorrelationsPro->GetBinContent(1); // <<2>> + Double_t term2nd2 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(1); // <> + Double_t sumOfW1st2 = fIntFlowSumOfEventWeights[0]->GetBinContent(1); // W_{<2>} + Double_t sumOfW2nd2 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(1); // W_{} + Double_t sumOfWW2 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(2); // W_{<2>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator2 = product2 - term1st2*term2nd2; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator2 = 1.-sumOfWW2/(sumOfW1st2*sumOfW2nd2); + // covariance: + Double_t covariance2 = numerator2/denominator2; + // weight dependent prefactor for covariance: + Double_t wPrefactor2 = sumOfWW2/(sumOfW1st2*sumOfW2nd2); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(2,wPrefactor2*covariance2); + + // Cov(,): + Double_t product3 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(3); // <> + Double_t term1st3 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(1); // <> + Double_t term2nd3 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(1); // <> + Double_t sumOfW1st3 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd3 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(1); // W_{} + Double_t sumOfWW3 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(3); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator3 = product3 - term1st3*term2nd3; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator3 = 1.-sumOfWW3/(sumOfW1st3*sumOfW2nd3); + // covariance: + Double_t covariance3 = numerator3/denominator3; + // weight dependent prefactor for covariance: + Double_t wPrefactor3 = sumOfWW3/(sumOfW1st3*sumOfW2nd3); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(3,wPrefactor3*covariance3); + + // Cov(<2>,): + Double_t product4 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(4); // <<2>> + Double_t term1st4 = fIntFlowCorrelationsPro->GetBinContent(1); // <<2>> + Double_t term2nd4 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t sumOfW1st4 = fIntFlowSumOfEventWeights[0]->GetBinContent(1); // W_{<2>} + Double_t sumOfW2nd4 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfWW4 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(4); // W_{<2>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator4 = product4 - term1st4*term2nd4; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator4 = 1.-sumOfWW4/(sumOfW1st4*sumOfW2nd4); + // covariance: + Double_t covariance4 = numerator4/denominator4; + // weight dependent prefactor for covariance: + Double_t wPrefactor4 = sumOfWW4/(sumOfW1st4*sumOfW2nd4); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(4,wPrefactor4*covariance4); + + // Cov(<2>,): + Double_t product5 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(5); // <<2>> + Double_t term1st5 = fIntFlowCorrelationsPro->GetBinContent(1); // <<2>> + Double_t term2nd5 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(2); // <> + Double_t sumOfW1st5 = fIntFlowSumOfEventWeights[0]->GetBinContent(1); // W_{<2>} + Double_t sumOfW2nd5 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(2); // W_{} + Double_t sumOfWW5 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(5); // W_{<2>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator5 = product5 - term1st5*term2nd5; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator5 = 1.-sumOfWW5/(sumOfW1st5*sumOfW2nd5); + // covariance: + Double_t covariance5 = numerator5/denominator5; + // weight dependent prefactor for covariance: + Double_t wPrefactor5 = sumOfWW5/(sumOfW1st5*sumOfW2nd5); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(5,wPrefactor5*covariance5); + + // Cov(<2>,): + Double_t product6 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(6); // <<2>> + Double_t term1st6 = fIntFlowCorrelationsPro->GetBinContent(1); // <<2>> + Double_t term2nd6 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(3); // <> + Double_t sumOfW1st6 = fIntFlowSumOfEventWeights[0]->GetBinContent(1); // W_{<2>} + Double_t sumOfW2nd6 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(3); // W_{} + Double_t sumOfWW6 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(6); // W_{<2>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator6 = product6 - term1st6*term2nd6; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator6 = 1.-sumOfWW6/(sumOfW1st6*sumOfW2nd6); + // covariance: + Double_t covariance6 = numerator6/denominator6; + // weight dependent prefactor for covariance: + Double_t wPrefactor6 = sumOfWW6/(sumOfW1st6*sumOfW2nd6); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(6,wPrefactor6*covariance6); + + // Cov(<2>,): + Double_t product7 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(7); // <<2>> + Double_t term1st7 = fIntFlowCorrelationsPro->GetBinContent(1); // <<2>> + Double_t term2nd7 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(3); // <> + Double_t sumOfW1st7 = fIntFlowSumOfEventWeights[0]->GetBinContent(1); // W_{<2>} + Double_t sumOfW2nd7 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(3); // W_{} + Double_t sumOfWW7 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(7); // W_{<2>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator7 = product7 - term1st7*term2nd7; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator7 = 1.-sumOfWW7/(sumOfW1st7*sumOfW2nd7); + // covariance: + Double_t covariance7 = numerator7/denominator7; + // weight dependent prefactor for covariance: + Double_t wPrefactor7 = sumOfWW7/(sumOfW1st7*sumOfW2nd7); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(7,wPrefactor7*covariance7); + + // Cov(<4>,): + Double_t product8 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(8); // <<4>> + Double_t term1st8 = fIntFlowCorrelationsPro->GetBinContent(2); // <<4>> + Double_t term2nd8 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(1); // <> + Double_t sumOfW1st8 = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // W_{<4>} + Double_t sumOfW2nd8 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(1); // W_{} + Double_t sumOfWW8 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(8); // W_{<4>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator8 = product8 - term1st8*term2nd8; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator8 = 1.-sumOfWW8/(sumOfW1st8*sumOfW2nd8); + // covariance: + Double_t covariance8 = numerator8/denominator8; + // weight dependent prefactor for covariance: + Double_t wPrefactor8 = sumOfWW8/(sumOfW1st8*sumOfW2nd8); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(8,wPrefactor8*covariance8); + + // Cov(<4>,): + Double_t product9 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(9); // <<4>> + Double_t term1st9 = fIntFlowCorrelationsPro->GetBinContent(2); // <<4>> + Double_t term2nd9 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(1); // <> + Double_t sumOfW1st9 = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // W_{<4>} + Double_t sumOfW2nd9 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(1); // W_{} + Double_t sumOfWW9 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(9); // W_{<4>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator9 = product9 - term1st9*term2nd9; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator9 = 1.-sumOfWW9/(sumOfW1st9*sumOfW2nd9); + // covariance: + Double_t covariance9 = numerator9/denominator9; + // weight dependent prefactor for covariance: + Double_t wPrefactor9 = sumOfWW9/(sumOfW1st9*sumOfW2nd9); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(9,wPrefactor9*covariance9); + + // Cov(<4>,): + Double_t product10 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(10); // <<4>> + Double_t term1st10 = fIntFlowCorrelationsPro->GetBinContent(2); // <<4>> + Double_t term2nd10 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t sumOfW1st10 = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // W_{<4>} + Double_t sumOfW2nd10 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfWW10 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(10); // W_{<4>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator10 = product10 - term1st10*term2nd10; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator10 = 1.-sumOfWW10/(sumOfW1st10*sumOfW2nd10); + // covariance: + Double_t covariance10 = numerator10/denominator10; + // weight dependent prefactor for covariance: + Double_t wPrefactor10 = sumOfWW10/(sumOfW1st10*sumOfW2nd10); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(10,wPrefactor10*covariance10); + + // Cov(<4>,): + Double_t product11 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(11); // <<4>> + Double_t term1st11 = fIntFlowCorrelationsPro->GetBinContent(2); // <<4>> + Double_t term2nd11 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(2); // <> + Double_t sumOfW1st11 = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // W_{<4>} + Double_t sumOfW2nd11 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(2); // W_{} + Double_t sumOfWW11 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(11); // W_{<4>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator11 = product11 - term1st11*term2nd11; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator11 = 1.-sumOfWW11/(sumOfW1st11*sumOfW2nd11); + // covariance: + Double_t covariance11 = numerator11/denominator11; + // weight dependent prefactor for covariance: + Double_t wPrefactor11 = sumOfWW11/(sumOfW1st11*sumOfW2nd11); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(11,wPrefactor11*covariance11); + + // Cov(<4>,): + Double_t product12 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(12); // <<4>> + Double_t term1st12 = fIntFlowCorrelationsPro->GetBinContent(2); // <<4>> + Double_t term2nd12 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(3); // <> + Double_t sumOfW1st12 = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // W_{<4>} + Double_t sumOfW2nd12 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(3); // W_{} + Double_t sumOfWW12 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(12); // W_{<4>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator12 = product12 - term1st12*term2nd12; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator12 = 1.-sumOfWW12/(sumOfW1st12*sumOfW2nd12); + // covariance: + Double_t covariance12 = numerator12/denominator12; + // weight dependent prefactor for covariance: + Double_t wPrefactor12 = sumOfWW12/(sumOfW1st12*sumOfW2nd12); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(12,wPrefactor12*covariance12); + + // Cov(<4>,): + Double_t product13 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(13); // <<4>> + Double_t term1st13 = fIntFlowCorrelationsPro->GetBinContent(2); // <<4>> + Double_t term2nd13 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(3); // <> + Double_t sumOfW1st13 = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // W_{<4>} + Double_t sumOfW2nd13 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(3); // W_{} + Double_t sumOfWW13 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(13); // W_{<4>} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator13 = product13 - term1st13*term2nd13; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator13 = 1.-sumOfWW13/(sumOfW1st13*sumOfW2nd13); + // covariance: + Double_t covariance13 = numerator13/denominator13; + // weight dependent prefactor for covariance: + Double_t wPrefactor13 = sumOfWW13/(sumOfW1st13*sumOfW2nd13); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(13,wPrefactor13*covariance13); + + // Cov(,): + Double_t product14 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(14); // <> + Double_t term1st14 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(1); // <> + Double_t term2nd14 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t sumOfW1st14 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd14 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfWW14 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(14); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator14 = product14 - term1st14*term2nd14; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator14 = 1.-sumOfWW14/(sumOfW1st14*sumOfW2nd14); + // covariance: + Double_t covariance14 = numerator14/denominator14; + // weight dependent prefactor for covariance: + Double_t wPrefactor14 = sumOfWW14/(sumOfW1st14*sumOfW2nd14); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(14,wPrefactor14*covariance14); + + // Cov(,): + Double_t product15 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(15); // <> + Double_t term1st15 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(1); // <> + Double_t term2nd15 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(2); // <> + Double_t sumOfW1st15 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd15 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(2); // W_{} + Double_t sumOfWW15 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(15); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator15 = product15 - term1st15*term2nd15; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator15 = 1.-sumOfWW15/(sumOfW1st15*sumOfW2nd15); + // covariance: + Double_t covariance15 = numerator15/denominator15; + // weight dependent prefactor for covariance: + Double_t wPrefactor15 = sumOfWW15/(sumOfW1st15*sumOfW2nd15); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(15,wPrefactor15*covariance15); + + // Cov(,): + Double_t product16 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(16); // <> + Double_t term1st16 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(1); // <> + Double_t term2nd16 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(3); // <> + Double_t sumOfW1st16 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd16 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(3); // W_{} + Double_t sumOfWW16 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(16); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator16 = product16 - term1st16*term2nd16; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator16 = 1.-sumOfWW16/(sumOfW1st16*sumOfW2nd16); + // covariance: + Double_t covariance16 = numerator16/denominator16; + // weight dependent prefactor for covariance: + Double_t wPrefactor16 = sumOfWW16/(sumOfW1st16*sumOfW2nd16); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(16,wPrefactor16*covariance16); + + // Cov(,): + Double_t product17 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(17); // <> + Double_t term1st17 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(1); // <> + Double_t term2nd17 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(3); // <> + Double_t sumOfW1st17 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd17 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(3); // W_{} + Double_t sumOfWW17 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(17); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator17 = product17 - term1st17*term2nd17; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator17 = 1.-sumOfWW17/(sumOfW1st17*sumOfW2nd17); + // covariance: + Double_t covariance17 = numerator17/denominator17; + // weight dependent prefactor for covariance: + Double_t wPrefactor17 = sumOfWW17/(sumOfW1st17*sumOfW2nd17); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(17,wPrefactor17*covariance17); + + // Cov(,): + Double_t product18 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(18); // <> + Double_t term1st18 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(1); // <> + Double_t term2nd18 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t sumOfW1st18 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd18 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfWW18 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(18); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator18 = product18 - term1st18*term2nd18; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator18 = 1.-sumOfWW18/(sumOfW1st18*sumOfW2nd18); + // covariance: + Double_t covariance18 = numerator18/denominator18; + // weight dependent prefactor for covariance: + Double_t wPrefactor18 = sumOfWW18/(sumOfW1st18*sumOfW2nd18); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(18,wPrefactor18*covariance18); + + // Cov(,): + Double_t product19 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(19); // <> + Double_t term1st19 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(1); // <> + Double_t term2nd19 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(2); // <> + Double_t sumOfW1st19 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd19 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(2); // W_{} + Double_t sumOfWW19 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(19); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator19 = product19 - term1st19*term2nd19; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator19 = 1.-sumOfWW19/(sumOfW1st19*sumOfW2nd19); + // covariance: + Double_t covariance19 = numerator19/denominator19; + // weight dependent prefactor for covariance: + Double_t wPrefactor19 = sumOfWW19/(sumOfW1st19*sumOfW2nd19); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(19,wPrefactor19*covariance19); + + // Cov(,): + Double_t product20 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(20); // <> + Double_t term1st20 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(1); // <> + Double_t term2nd20 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(3); // <> + Double_t sumOfW1st20 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd20 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(3); // W_{} + Double_t sumOfWW20 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(20); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator20 = product20 - term1st20*term2nd20; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator20 = 1.-sumOfWW20/(sumOfW1st20*sumOfW2nd20); + // covariance: + Double_t covariance20 = numerator20/denominator20; + // weight dependent prefactor for covariance: + Double_t wPrefactor20 = sumOfWW20/(sumOfW1st20*sumOfW2nd20); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(20,wPrefactor20*covariance20); + + // Cov(,): + Double_t product21 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(21); // <> + Double_t term1st21 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(1); // <> + Double_t term2nd21 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(3); // <> + Double_t sumOfW1st21 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(1); // W_{} + Double_t sumOfW2nd21 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(3); // W_{} + Double_t sumOfWW21 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(21); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator21 = product21 - term1st21*term2nd21; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator21 = 1.-sumOfWW21/(sumOfW1st21*sumOfW2nd21); + // covariance: + Double_t covariance21 = numerator21/denominator21; + // weight dependent prefactor for covariance: + Double_t wPrefactor21 = sumOfWW21/(sumOfW1st21*sumOfW2nd21); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(21,wPrefactor21*covariance21); + + // Cov(,): + Double_t product22 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(22); // <> + Double_t term1st22 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t term2nd22 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(2); // <> + Double_t sumOfW1st22 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfW2nd22 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(2); // W_{} + Double_t sumOfWW22 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(22); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator22 = product22 - term1st22*term2nd22; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator22 = 1.-sumOfWW22/(sumOfW1st22*sumOfW2nd22); + // covariance: + Double_t covariance22 = numerator22/denominator22; + // weight dependent prefactor for covariance: + Double_t wPrefactor22 = sumOfWW22/(sumOfW1st22*sumOfW2nd22); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(22,wPrefactor22*covariance22); + + // Cov(,): + Double_t product23 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(23); // <> + Double_t term1st23 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t term2nd23 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(3); // <> + Double_t sumOfW1st23 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfW2nd23 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(3); // W_{} + Double_t sumOfWW23 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(23); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator23 = product23 - term1st23*term2nd23; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator23 = 1.-sumOfWW23/(sumOfW1st23*sumOfW2nd23); + // covariance: + Double_t covariance23 = numerator23/denominator23; + // weight dependent prefactor for covariance: + Double_t wPrefactor23 = sumOfWW23/(sumOfW1st23*sumOfW2nd23); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(23,wPrefactor23*covariance23); + + // Cov(,): + Double_t product24 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(24); // <> + Double_t term1st24 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t term2nd24 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(3); // <> + Double_t sumOfW1st24 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfW2nd24 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(3); // W_{} + Double_t sumOfWW24 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(24); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator24 = product24 - term1st24*term2nd24; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator24 = 1.-sumOfWW24/(sumOfW1st24*sumOfW2nd24); + // covariance: + Double_t covariance24 = numerator24/denominator24; + // weight dependent prefactor for covariance: + Double_t wPrefactor24 = sumOfWW24/(sumOfW1st24*sumOfW2nd24); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(24,wPrefactor24*covariance24); + + // Cov(,): + Double_t product25 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(25); // <> + Double_t term1st25 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(2); // <> + Double_t term2nd25 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(3); // <> + Double_t sumOfW1st25 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(2); // W_{} + Double_t sumOfW2nd25 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(3); // W_{} + Double_t sumOfWW25 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(25); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator25 = product25 - term1st25*term2nd25; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator25 = 1.-sumOfWW25/(sumOfW1st25*sumOfW2nd25); + // covariance: + Double_t covariance25 = numerator25/denominator25; + // weight dependent prefactor for covariance: + Double_t wPrefactor25 = sumOfWW25/(sumOfW1st25*sumOfW2nd25); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(25,wPrefactor25*covariance25); + + // Cov(,): + Double_t product26 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(26); // <> + Double_t term1st26 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(2); // <> + Double_t term2nd26 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(3); // <> + Double_t sumOfW1st26 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(2); // W_{} + Double_t sumOfW2nd26 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(3); // W_{} + Double_t sumOfWW26 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(26); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator26 = product26 - term1st26*term2nd26; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator26 = 1.-sumOfWW26/(sumOfW1st26*sumOfW2nd26); + // covariance: + Double_t covariance26 = numerator26/denominator26; + // weight dependent prefactor for covariance: + Double_t wPrefactor26 = sumOfWW26/(sumOfW1st26*sumOfW2nd26); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(26,wPrefactor26*covariance26); + + // Cov(,): + Double_t product27 = fIntFlowProductOfCorrectionTermsForNUAPro->GetBinContent(27); // <> + Double_t term1st27 = fIntFlowCorrectionTermsForNUAPro[1]->GetBinContent(2); // <> + Double_t term2nd27 = fIntFlowCorrectionTermsForNUAPro[0]->GetBinContent(3); // <> + Double_t sumOfW1st27 = fIntFlowSumOfEventWeightsNUA[1][0]->GetBinContent(2); // W_{} + Double_t sumOfW2nd27 = fIntFlowSumOfEventWeightsNUA[0][0]->GetBinContent(3); // W_{} + Double_t sumOfWW27 = fIntFlowSumOfProductOfEventWeightsNUA->GetBinContent(27); // W_{} * W_{} + // numerator in the expression for the the unbiased estimator for covariance: + Double_t numerator27 = product27 - term1st27*term2nd27; + // denominator in the expression for the the unbiased estimator for covariance: + Double_t denominator27 = 1.-sumOfWW27/(sumOfW1st27*sumOfW2nd27); + // covariance: + Double_t covariance27 = numerator27/denominator27; + // weight dependent prefactor for covariance: + Double_t wPrefactor27 = sumOfWW27/(sumOfW1st27*sumOfW2nd27); + // finally, store "weighted" covariance: + fIntFlowCovariancesNUA->SetBinContent(27,wPrefactor27*covariance27); + +} // end of AliFlowAnalysisWithQCumulants::CalculateCovariancesNUAIntFlow() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::FinalizeCorrelationsIntFlow() +{ + // From profile fIntFlowCorrelationsPro access measured correlations and spread, + // correctly calculate the statistical errors and store the final results and + // statistical errors for correlations in histogram fIntFlowCorrelationsHist. + // + // Remark: Statistical error of correlation is calculated as: + // + // statistical error = termA * spread * termB: + // termA = sqrt{sum_{i=1}^{N} w^2}/(sum_{i=1}^{N} w) + // termB = 1/sqrt(1-termA^2) + + for(Int_t power=0;power<2;power++) + { + if(!(fIntFlowCorrelationsHist && fIntFlowCorrelationsPro && fIntFlowSumOfEventWeights[power])) + { + cout<<"WARNING: fIntFlowCorrelationsHist && fIntFlowCorrelationsPro && fIntFlowSumOfEventWeights[power] is NULL in AFAWQC::FCIF() !!!!"< 0.) + { + termB = 1./pow(1-pow(termA,2.),0.5); + } else + { + cout<<"WARNING: 1.-pow(termA,2.) <= 0 in AFAWQC::FCIF() !!!!"<SetBinContent(ci,correlation); + fIntFlowCorrelationsHist->SetBinError(ci,statisticalError); + } // end of for(Int_t ci=1;ci<=4;ci++) // correlation index + + // versus multiplicity: + for(Int_t ci=0;ci<=3;ci++) // correlation index + { + Int_t nBins = fIntFlowCorrelationsVsMPro[ci]->GetNbinsX(); + for(Int_t b=1;b<=nBins;b++) // looping over multiplicity bins + { + Double_t correlationVsM = fIntFlowCorrelationsVsMPro[ci]->GetBinContent(b); + Double_t spreadVsM = fIntFlowCorrelationsVsMPro[ci]->GetBinError(b); + Double_t sumOfLinearEventWeightsVsM = fIntFlowSumOfEventWeightsVsM[ci][0]->GetBinContent(b); + Double_t sumOfQuadraticEventWeightsVsM = fIntFlowSumOfEventWeightsVsM[ci][1]->GetBinContent(b); + Double_t termAVsM = 0.; + Double_t termBVsM = 0.; + if(sumOfLinearEventWeightsVsM) + { + termAVsM = pow(sumOfQuadraticEventWeightsVsM,0.5)/sumOfLinearEventWeightsVsM; + } else + { + //cout<<"WARNING: sumOfLinearEventWeightsVsM == 0 in AFAWQC::FCIF() !!!!"< 0.) + { + termBVsM = 1./pow(1-pow(termAVsM,2.),0.5); + } else + { + //cout<<"WARNING: 1.-pow(termAVsM,2.) <= 0 in AFAWQC::FCIF() !!!!"<SetBinContent(b,correlationVsM); + fIntFlowCorrelationsVsMHist[ci]->SetBinError(b,statisticalErrorVsM); + } // end of for(Int_t b=1;b<=nBins;b++) + } // end of for(Int_t ci=1;ci<=4;ci++) // correlation index + +} // end of AliFlowAnalysisWithQCumulants::FinalizeCorrelationsIntFlow() + +//================================================================================================================================ + +void AliFlowAnalysisWithQCumulants::FillAverageMultiplicities(Int_t nRP) +{ + // Fill profile fAverageMultiplicity to hold average multiplicities and number of events for events with nRP>=0, nRP>=1, ... , and nRP>=8 + + // Binning of fAverageMultiplicity is organized as follows: + // 1st bin: all events (including the empty ones) + // 2nd bin: event with # of RPs greater or equal to 1 + // 3rd bin: event with # of RPs greater or equal to 2 + // 4th bin: event with # of RPs greater or equal to 3 + // 5th bin: event with # of RPs greater or equal to 4 + // 6th bin: event with # of RPs greater or equal to 5 + // 7th bin: event with # of RPs greater or equal to 6 + // 8th bin: event with # of RPs greater or equal to 7 + // 9th bin: event with # of RPs greater or equal to 8 + + if(!fAvMultiplicity) + { + cout<<"WARNING: fAvMultiplicity is NULL in AFAWQC::FAM() !!!!"<=i) fAvMultiplicity->Fill(i+0.5,nRP,1); + } + +} // end of AliFlowAnalysisWithQCumulants::FillAverageMultiplicities(nRP) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateCumulantsIntFlow() +{ + // a) Calculate Q-cumulants from the measured multiparticle correlations. + // b) Propagate the statistical errors of measured multiparticle correlations to statistical errors of Q-cumulants. + // c) REMARK: Q-cumulants calculated in this method are biased by non-uniform acceptance of detector !!!! + // Method ApplyCorrectionForNonUniformAcceptance* (to be improved: finalize the name here) + // is called afterwards to correct for this bias. + // d) Store the results and statistical error of Q-cumulants in histogram fCumulants. + // Binning of fCumulants is organized as follows: + // + // 1st bin: QC{2} + // 2nd bin: QC{4} + // 3rd bin: QC{6} + // 4th bin: QC{8} + + if(!(fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants)) + { + cout<<"WARNING: fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants is NULL in AFAWQC::CCIF() !!!!"<GetBinContent(1); // <<2>> + Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> + Double_t six = fIntFlowCorrelationsHist->GetBinContent(3); // <<6>> + Double_t eight = fIntFlowCorrelationsHist->GetBinContent(4); // <<8>> + + // statistical errors of average 2-, 4-, 6- and 8-particle azimuthal correlations: + Double_t twoError = fIntFlowCorrelationsHist->GetBinError(1); // statistical error of <2> + Double_t fourError = fIntFlowCorrelationsHist->GetBinError(2); // statistical error of <4> + Double_t sixError = fIntFlowCorrelationsHist->GetBinError(3); // statistical error of <6> + Double_t eightError = fIntFlowCorrelationsHist->GetBinError(4); // statistical error of <8> + + // covariances (multiplied by prefactor depending on weights - see comments in CalculateCovariancesIntFlow()): + Double_t wCov24 = fIntFlowCovariances->GetBinContent(1); // Cov(<2>,<4>) * prefactor(w_<2>,w_<4>) + Double_t wCov26 = fIntFlowCovariances->GetBinContent(2); // Cov(<2>,<6>) * prefactor(w_<2>,w_<6>) + Double_t wCov28 = fIntFlowCovariances->GetBinContent(3); // Cov(<2>,<8>) * prefactor(w_<2>,w_<8>) + Double_t wCov46 = fIntFlowCovariances->GetBinContent(4); // Cov(<4>,<6>) * prefactor(w_<4>,w_<6>) + Double_t wCov48 = fIntFlowCovariances->GetBinContent(5); // Cov(<4>,<8>) * prefactor(w_<4>,w_<8>) + Double_t wCov68 = fIntFlowCovariances->GetBinContent(6); // Cov(<6>,<8>) * prefactor(w_<6>,w_<8>) + + // Q-cumulants: + Double_t qc2 = 0.; // QC{2} + Double_t qc4 = 0.; // QC{4} + Double_t qc6 = 0.; // QC{6} + Double_t qc8 = 0.; // QC{8} + if(two) qc2 = two; + if(four) qc4 = four-2.*pow(two,2.); + if(six) qc6 = six-9.*two*four+12.*pow(two,3.); + if(eight) qc8 = eight-16.*two*six-18.*pow(four,2.)+144.*pow(two,2.)*four-144.*pow(two,4.); + + // statistical errors of Q-cumulants: + Double_t qc2Error = 0.; + Double_t qc4Error = 0.; + Double_t qc6Error = 0.; + Double_t qc8Error = 0.; + + // squared statistical errors of Q-cumulants: + //Double_t qc2ErrorSquared = 0.; + Double_t qc4ErrorSquared = 0.; + Double_t qc6ErrorSquared = 0.; + Double_t qc8ErrorSquared = 0.; + + // statistical error of QC{2}: + qc2Error = twoError; + + // statistical error of QC{4}: + qc4ErrorSquared = 16.*pow(two,2.)*pow(twoError,2)+pow(fourError,2.) + - 8.*two*wCov24; + if(qc4ErrorSquared>0.) + { + qc4Error = pow(qc4ErrorSquared,0.5); + } else + { + cout<<"WARNING: Statistical error of QC{4} is imaginary !!!!"<0.) + { + qc6Error = pow(qc6ErrorSquared,0.5); + } else + { + cout<<"WARNING: Statistical error of QC{6} is imaginary !!!!"<0.) + { + qc8Error = pow(qc8ErrorSquared,0.5); + } else + { + cout<<"WARNING: Statistical error of QC{8} is imaginary !!!!"<SetBinContent(1,qc2); + fIntFlowQcumulants->SetBinError(1,qc2Error); + fIntFlowQcumulants->SetBinContent(2,qc4); + fIntFlowQcumulants->SetBinError(2,qc4Error); + fIntFlowQcumulants->SetBinContent(3,qc6); + fIntFlowQcumulants->SetBinError(3,qc6Error); + fIntFlowQcumulants->SetBinContent(4,qc8); + fIntFlowQcumulants->SetBinError(4,qc8Error); + + // versus multiplicity: + Int_t nBins = fIntFlowCorrelationsVsMPro[0]->GetNbinsX(); // to be improved (hardwired 0) + for(Int_t b=1;b<=nBins;b++) + { + // correlations: + two = fIntFlowCorrelationsVsMHist[0]->GetBinContent(b); // <<2>> + four = fIntFlowCorrelationsVsMHist[1]->GetBinContent(b); // <<4>> + six = fIntFlowCorrelationsVsMHist[2]->GetBinContent(b); // <<6>> + eight = fIntFlowCorrelationsVsMHist[3]->GetBinContent(b); // <<8>> + + // statistical errors of average 2-, 4-, 6- and 8-particle azimuthal correlations: + twoError = fIntFlowCorrelationsVsMHist[0]->GetBinError(b); // statistical error of <2> + fourError = fIntFlowCorrelationsVsMHist[1]->GetBinError(b); // statistical error of <4> + sixError = fIntFlowCorrelationsVsMHist[2]->GetBinError(b); // statistical error of <6> + eightError = fIntFlowCorrelationsVsMHist[3]->GetBinError(b); // statistical error of <8> + + // covariances (multiplied by prefactor depending on weights - see comments in CalculateCovariancesIntFlow()): + wCov24 = fIntFlowCovariancesVsM[0]->GetBinContent(b); // Cov(<2>,<4>) * prefactor(w_<2>,w_<4>) + wCov26 = fIntFlowCovariancesVsM[1]->GetBinContent(b); // Cov(<2>,<6>) * prefactor(w_<2>,w_<6>) + wCov28 = fIntFlowCovariancesVsM[2]->GetBinContent(b); // Cov(<2>,<8>) * prefactor(w_<2>,w_<8>) + wCov46 = fIntFlowCovariancesVsM[3]->GetBinContent(b); // Cov(<4>,<6>) * prefactor(w_<4>,w_<6>) + wCov48 = fIntFlowCovariancesVsM[4]->GetBinContent(b); // Cov(<4>,<8>) * prefactor(w_<4>,w_<8>) + wCov68 = fIntFlowCovariancesVsM[5]->GetBinContent(b); // Cov(<6>,<8>) * prefactor(w_<6>,w_<8>) + + // Q-cumulants: + qc2 = 0.; // QC{2} + qc4 = 0.; // QC{4} + qc6 = 0.; // QC{6} + qc8 = 0.; // QC{8} + if(two) qc2 = two; + if(four) qc4 = four-2.*pow(two,2.); + if(six) qc6 = six-9.*two*four+12.*pow(two,3.); + if(eight) qc8 = eight-16.*two*six-18.*pow(four,2.)+144.*pow(two,2.)*four-144.*pow(two,4.); + + // statistical errors of Q-cumulants: + qc2Error = 0.; + qc4Error = 0.; + qc6Error = 0.; + qc8Error = 0.; + + // squared statistical errors of Q-cumulants: + //Double_t qc2ErrorSquared = 0.; + qc4ErrorSquared = 0.; + qc6ErrorSquared = 0.; + qc8ErrorSquared = 0.; + + // statistical error of QC{2}: + qc2Error = twoError; + + // statistical error of QC{4}: + qc4ErrorSquared = 16.*pow(two,2.)*pow(twoError,2)+pow(fourError,2.) + - 8.*two*wCov24; + if(qc4ErrorSquared>0.) + { + qc4Error = pow(qc4ErrorSquared,0.5); + } else + { + // cout<<"WARNING: Statistical error of QC{4} is imaginary in multiplicity bin "<0.) + { + qc6Error = pow(qc6ErrorSquared,0.5); + } else + { + // cout<<"WARNING: Statistical error of QC{6} is imaginary in multiplicity bin "<0.) + { + qc8Error = pow(qc8ErrorSquared,0.5); + } else + { + // cout<<"WARNING: Statistical error of QC{8} is imaginary in multiplicity bin "<SetBinContent(b,qc2); + fIntFlowQcumulantsVsM[0]->SetBinError(b,qc2Error); + fIntFlowQcumulantsVsM[1]->SetBinContent(b,qc4); + fIntFlowQcumulantsVsM[1]->SetBinError(b,qc4Error); + fIntFlowQcumulantsVsM[2]->SetBinContent(b,qc6); + fIntFlowQcumulantsVsM[2]->SetBinError(b,qc6Error); + fIntFlowQcumulantsVsM[3]->SetBinContent(b,qc8); + fIntFlowQcumulantsVsM[3]->SetBinError(b,qc8Error); + } // end of for(Int_t b=1;b<=nBins;b++) + +} // end of AliFlowAnalysisWithQCumulants::CalculateCumulantsIntFlow() + +//================================================================================================================================ + +void AliFlowAnalysisWithQCumulants::CalculateIntFlow() +{ + // a) Calculate the final results for reference flow estimates from Q-cumulants. + // b) Propagate the statistical errors of measured multiparticle correlations to statistical errors of reference flow estimates. + // c) Store the results and statistical errors of reference flow estimates in histogram fIntFlow. + // Binning of fIntFlow is organized as follows: + // + // 1st bin: v{2,QC} + // 2nd bin: v{4,QC} + // 3rd bin: v{6,QC} + // 4th bin: v{8,QC} + + if(!(fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants && fIntFlow)) + { + cout<<"WARNING: fIntFlowCorrelationsHist && fIntFlowCovariances && fIntFlowQcumulants && fIntFlow is NULL in AFAWQC::CCIF() !!!!"<GetBinContent(1); // QC{2} + Double_t qc4 = fIntFlowQcumulants->GetBinContent(2); // QC{4} + Double_t qc6 = fIntFlowQcumulants->GetBinContent(3); // QC{6} + Double_t qc8 = fIntFlowQcumulants->GetBinContent(4); // QC{8} + + // correlations: + Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); // <<2>> + Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> + Double_t six = fIntFlowCorrelationsHist->GetBinContent(3); // <<6>> + Double_t eight = fIntFlowCorrelationsHist->GetBinContent(4); // <<8>> + + // statistical errors of average 2-, 4-, 6- and 8-particle azimuthal correlations: + Double_t twoError = fIntFlowCorrelationsHist->GetBinError(1); // statistical error of <2> + Double_t fourError = fIntFlowCorrelationsHist->GetBinError(2); // statistical error of <4> + Double_t sixError = fIntFlowCorrelationsHist->GetBinError(3); // statistical error of <6> + Double_t eightError = fIntFlowCorrelationsHist->GetBinError(4); // statistical error of <8> + + // covariances (multiplied by prefactor depending on weights - see comments in CalculateCovariancesIntFlow()): + Double_t wCov24 = fIntFlowCovariances->GetBinContent(1); // Cov(<2>,<4>) * prefactor(w_<2>,w_<4>) + Double_t wCov26 = fIntFlowCovariances->GetBinContent(2); // Cov(<2>,<6>) * prefactor(w_<2>,w_<6>) + Double_t wCov28 = fIntFlowCovariances->GetBinContent(3); // Cov(<2>,<8>) * prefactor(w_<2>,w_<8>) + Double_t wCov46 = fIntFlowCovariances->GetBinContent(4); // Cov(<4>,<6>) * prefactor(w_<4>,w_<6>) + Double_t wCov48 = fIntFlowCovariances->GetBinContent(5); // Cov(<4>,<8>) * prefactor(w_<4>,w_<8>) + Double_t wCov68 = fIntFlowCovariances->GetBinContent(6); // Cov(<6>,<8>) * prefactor(w_<6>,w_<8>) + + // integrated flow estimates: + Double_t v2 = 0.; // v{2,QC} + Double_t v4 = 0.; // v{4,QC} + Double_t v6 = 0.; // v{6,QC} + Double_t v8 = 0.; // v{8,QC} + + // calculate integrated flow estimates from Q-cumulants: + if(qc2>=0.) v2 = pow(qc2,1./2.); + if(qc4<=0.) v4 = pow(-1.*qc4,1./4.); + if(qc6>=0.) v6 = pow((1./4.)*qc6,1./6.); + if(qc8<=0.) v8 = pow((-1./33.)*qc8,1./8.); + + // statistical errors of integrated flow estimates: + Double_t v2Error = 0.; // statistical error of v{2,QC} + Double_t v4Error = 0.; // statistical error of v{4,QC} + Double_t v6Error = 0.; // statistical error of v{6,QC} + Double_t v8Error = 0.; // statistical error of v{8,QC} + + // squares of statistical errors of integrated flow estimates: + Double_t v2ErrorSquared = 0.; // squared statistical error of v{2,QC} + Double_t v4ErrorSquared = 0.; // squared statistical error of v{4,QC} + Double_t v6ErrorSquared = 0.; // squared statistical error of v{6,QC} + Double_t v8ErrorSquared = 0.; // squared statistical error of v{8,QC} + + // calculate squared statistical errors of integrated flow estimates: + if(two > 0.) + { + v2ErrorSquared = (1./(4.*two))*pow(twoError,2.); + } + if(2.*pow(two,2.)-four > 0.) + { + v4ErrorSquared = (1./pow(2.*pow(two,2.)-four,3./2.))* + (pow(two,2.)*pow(twoError,2.)+(1./16.)*pow(fourError,2.)-(1./2.)*two*wCov24); + } + if(six-9.*four*two+12.*pow(two,3.) > 0.) + { + v6ErrorSquared = ((1./2.)*(1./pow(2.,2./3.))*(1./pow(six-9.*four*two+12.*pow(two,3.),5./3.)))* + ((9./2.)*pow(4.*pow(two,2.)-four,2.)*pow(twoError,2.) + + (9./2.)*pow(two,2.)*pow(fourError,2.)+(1./18.)*pow(sixError,2.) + - 9.*two*(4.*pow(two,2.)-four)*wCov24+(4.*pow(two,2.)-four)*wCov26-two*wCov46); + } + if(-1.*eight+16.*six*two+18.*pow(four,2.)-144.*four*pow(two,2.)+144.*pow(two,4.) > 0.) + { + v8ErrorSquared = (4./pow(33,1./4.))*(1./pow(-1.*eight+16.*six*two+18.*pow(four,2.)-144.*four*pow(two,2.)+144.*pow(two,4.),7./4.))* + (pow(36.*pow(two,3.)-18.*four*two+six,2.)*pow(twoError,2.) + + (81./16.)*pow(4.*pow(two,2.)-four,2.)*pow(fourError,2.) + + pow(two,2.)*pow(sixError,2.) + + (1./256.)*pow(eightError,2.) + - (9./2.)*(36.*pow(two,3.)-18.*four*two+six)*(4.*pow(two,2.)-four)*wCov24 + + 2.*two*(36.*pow(two,3.)-18.*four*two+six)*wCov26 + - (1./8.)*(36.*pow(two,3.)-18.*four*two+six)*wCov28 + - (9./2.)*two*(4.*pow(two,2.)-four)*wCov46 + + (9./32.)*(4.*pow(two,2.)-four)*wCov48 + - (1./8.)*two*wCov68); + } + + // calculate statistical errors of integrated flow estimates: + if(v2ErrorSquared > 0.) + { + v2Error = pow(v2ErrorSquared,0.5); + } else + { + cout<<"WARNING: Statistical error of v{2,QC} is imaginary !!!!"< 0.) + { + v4Error = pow(v4ErrorSquared,0.5); + } else + { + cout<<"WARNING: Statistical error of v{4,QC} is imaginary !!!!"< 0.) + { + v6Error = pow(v6ErrorSquared,0.5); + } else + { + cout<<"WARNING: Statistical error of v{6,QC} is imaginary !!!!"< 0.) + { + v8Error = pow(v8ErrorSquared,0.5); + } else + { + cout<<"WARNING: Statistical error of v{8,QC} is imaginary !!!!"<SetBinContent(1,v2); + fIntFlow->SetBinError(1,v2Error); + fIntFlow->SetBinContent(2,v4); + fIntFlow->SetBinError(2,v4Error); + fIntFlow->SetBinContent(3,v6); + fIntFlow->SetBinError(3,v6Error); + fIntFlow->SetBinContent(4,v8); + fIntFlow->SetBinError(4,v8Error); + + // versus multiplicity: + Int_t nBins = fIntFlowCorrelationsVsMPro[0]->GetNbinsX(); // to be improved (hardwired 0) + for(Int_t b=1;b<=nBins;b++) + { + // Q-cumulants: + qc2 = fIntFlowQcumulantsVsM[0]->GetBinContent(b); // QC{2} + qc4 = fIntFlowQcumulantsVsM[1]->GetBinContent(b); // QC{4} + qc6 = fIntFlowQcumulantsVsM[2]->GetBinContent(b); // QC{6} + qc8 = fIntFlowQcumulantsVsM[3]->GetBinContent(b); // QC{8} + + // correlations: + two = fIntFlowCorrelationsVsMHist[0]->GetBinContent(b); // <<2>> + four = fIntFlowCorrelationsVsMHist[1]->GetBinContent(b); // <<4>> + six = fIntFlowCorrelationsVsMHist[2]->GetBinContent(b); // <<6>> + eight = fIntFlowCorrelationsVsMHist[3]->GetBinContent(b); // <<8>> + + // statistical errors of average 2-, 4-, 6- and 8-particle azimuthal correlations: + twoError = fIntFlowCorrelationsVsMHist[0]->GetBinError(b); // statistical error of <2> + fourError = fIntFlowCorrelationsVsMHist[1]->GetBinError(b); // statistical error of <4> + sixError = fIntFlowCorrelationsVsMHist[2]->GetBinError(b); // statistical error of <6> + eightError = fIntFlowCorrelationsVsMHist[3]->GetBinError(b); // statistical error of <8> + + // covariances (multiplied by prefactor depending on weights - see comments in CalculateCovariancesIntFlow()): + wCov24 = fIntFlowCovariancesVsM[0]->GetBinContent(b); // Cov(<2>,<4>) * prefactor(w_<2>,w_<4>) + wCov26 = fIntFlowCovariancesVsM[1]->GetBinContent(b); // Cov(<2>,<6>) * prefactor(w_<2>,w_<6>) + wCov28 = fIntFlowCovariancesVsM[2]->GetBinContent(b); // Cov(<2>,<8>) * prefactor(w_<2>,w_<8>) + wCov46 = fIntFlowCovariancesVsM[3]->GetBinContent(b); // Cov(<4>,<6>) * prefactor(w_<4>,w_<6>) + wCov48 = fIntFlowCovariancesVsM[4]->GetBinContent(b); // Cov(<4>,<8>) * prefactor(w_<4>,w_<8>) + wCov68 = fIntFlowCovariancesVsM[5]->GetBinContent(b); // Cov(<6>,<8>) * prefactor(w_<6>,w_<8>) + + // integrated flow estimates: + v2 = 0.; // v{2,QC} + v4 = 0.; // v{4,QC} + v6 = 0.; // v{6,QC} + v8 = 0.; // v{8,QC} + + // calculate integrated flow estimates from Q-cumulants: + if(qc2>=0.) v2 = pow(qc2,1./2.); + if(qc4<=0.) v4 = pow(-1.*qc4,1./4.); + if(qc6>=0.) v6 = pow((1./4.)*qc6,1./6.); + if(qc8<=0.) v8 = pow((-1./33.)*qc8,1./8.); + + // statistical errors of integrated flow estimates: + v2Error = 0.; // statistical error of v{2,QC} + v4Error = 0.; // statistical error of v{4,QC} + v6Error = 0.; // statistical error of v{6,QC} + v8Error = 0.; // statistical error of v{8,QC} + + // squares of statistical errors of integrated flow estimates: + v2ErrorSquared = 0.; // squared statistical error of v{2,QC} + v4ErrorSquared = 0.; // squared statistical error of v{4,QC} + v6ErrorSquared = 0.; // squared statistical error of v{6,QC} + v8ErrorSquared = 0.; // squared statistical error of v{8,QC} + + // calculate squared statistical errors of integrated flow estimates: + if(two > 0.) + { + v2ErrorSquared = (1./(4.*two))*pow(twoError,2.); + } + if(2.*pow(two,2.)-four > 0.) + { + v4ErrorSquared = (1./pow(2.*pow(two,2.)-four,3./2.))* + (pow(two,2.)*pow(twoError,2.)+(1./16.)*pow(fourError,2.)-(1./2.)*two*wCov24); + } + if(six-9.*four*two+12.*pow(two,3.) > 0.) + { + v6ErrorSquared = ((1./2.)*(1./pow(2.,2./3.))*(1./pow(six-9.*four*two+12.*pow(two,3.),5./3.)))* + ((9./2.)*pow(4.*pow(two,2.)-four,2.)*pow(twoError,2.) + + (9./2.)*pow(two,2.)*pow(fourError,2.)+(1./18.)*pow(sixError,2.) + - 9.*two*(4.*pow(two,2.)-four)*wCov24+(4.*pow(two,2.)-four)*wCov26-two*wCov46); + } + if(-1.*eight+16.*six*two+18.*pow(four,2.)-144.*four*pow(two,2.)+144.*pow(two,4.) > 0.) + { + v8ErrorSquared = (4./pow(33,1./4.))*(1./pow(-1.*eight+16.*six*two+18.*pow(four,2.)-144.*four*pow(two,2.)+144.*pow(two,4.),7./4.))* + (pow(36.*pow(two,3.)-18.*four*two+six,2.)*pow(twoError,2.) + + (81./16.)*pow(4.*pow(two,2.)-four,2.)*pow(fourError,2.) + + pow(two,2.)*pow(sixError,2.) + + (1./256.)*pow(eightError,2.) + - (9./2.)*(36.*pow(two,3.)-18.*four*two+six)*(4.*pow(two,2.)-four)*wCov24 + + 2.*two*(36.*pow(two,3.)-18.*four*two+six)*wCov26 + - (1./8.)*(36.*pow(two,3.)-18.*four*two+six)*wCov28 + - (9./2.)*two*(4.*pow(two,2.)-four)*wCov46 + + (9./32.)*(4.*pow(two,2.)-four)*wCov48 + - (1./8.)*two*wCov68); + } + + // calculate statistical errors of integrated flow estimates: + if(v2ErrorSquared > 0.) + { + v2Error = pow(v2ErrorSquared,0.5); + } else + { + // cout<<"WARNING: Statistical error of v{2,QC} is imaginary !!!!"< 0.) + { + v4Error = pow(v4ErrorSquared,0.5); + } else + { + // cout<<"WARNING: Statistical error of v{4,QC} is imaginary !!!!"< 0.) + { + v6Error = pow(v6ErrorSquared,0.5); + } else + { + // cout<<"WARNING: Statistical error of v{6,QC} is imaginary !!!!"< 0.) + { + v8Error = pow(v8ErrorSquared,0.5); + } else + { + // cout<<"WARNING: Statistical error of v{8,QC} is imaginary !!!!"<SetBinContent(b,v2); + fIntFlowVsM[0]->SetBinError(b,v2Error); + fIntFlowVsM[1]->SetBinContent(b,v4); + fIntFlowVsM[1]->SetBinError(b,v4Error); + fIntFlowVsM[2]->SetBinContent(b,v6); + fIntFlowVsM[2]->SetBinError(b,v6Error); + fIntFlowVsM[3]->SetBinContent(b,v8); + fIntFlowVsM[3]->SetBinError(b,v8Error); + } // end of for(Int_t b=1;b<=nBins;b++) + +} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlow() + +//================================================================================================================================ + +void AliFlowAnalysisWithQCumulants::FillCommonHistResultsIntFlow() +{ + // Fill in AliFlowCommonHistResults histograms relevant for 'NONAME' integrated flow (to be improved (name)) + + if(!fIntFlow) + { + cout<<"WARNING: fIntFlow is NULL in AFAWQC::FCHRIF() !!!!"<GetBinContent(1); + Double_t v4 = fIntFlow->GetBinContent(2); + Double_t v6 = fIntFlow->GetBinContent(3); + Double_t v8 = fIntFlow->GetBinContent(4); + + Double_t v2Error = fIntFlow->GetBinError(1); + Double_t v4Error = fIntFlow->GetBinError(2); + Double_t v6Error = fIntFlow->GetBinError(3); + Double_t v8Error = fIntFlow->GetBinError(4); + + fCommonHistsResults2nd->FillIntegratedFlow(v2,v2Error); // to be improved (hardwired 2nd in the name) + fCommonHistsResults4th->FillIntegratedFlow(v4,v4Error); // to be improved (hardwired 4th in the name) + if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)) // to be improved (calculate also 6th and 8th order) + { + fCommonHistsResults6th->FillIntegratedFlow(v6,v6Error); // to be improved (hardwired 6th in the name) + fCommonHistsResults8th->FillIntegratedFlow(v8,v8Error); // to be improved (hardwired 8th in the name) + } + +} // end of AliFlowAnalysisWithQCumulants::FillCommonHistResultsIntFlow() + + +//================================================================================================================================ + + +/* +void AliFlowAnalysisWithQCumulants::ApplyCorrectionForNonUniformAcceptanceToCumulantsForIntFlow(Bool_t useParticleWeights, TString eventWeights) +{ + // apply correction for non-uniform acceptance to cumulants for integrated flow + // (Remark: non-corrected cumulants are accessed from fCumulants[pW][0], corrected cumulants are stored in fCumulants[pW][1]) + + // shortcuts for the flags: + Int_t pW = (Int_t)(useParticleWeights); // 0=pWeights not used, 1=pWeights used + Int_t eW = -1; + + if(eventWeights == "exact") + { + eW = 0; + } + + if(!(fCumulants[pW][eW][0] && fCumulants[pW][eW][1] && fCorrections[pW][eW])) + { + cout<<"WARNING: fCumulants[pW][eW][0] && fCumulants[pW][eW][1] && fCorrections[pW][eW] is NULL in AFAWQC::ACFNUATCFIF() !!!!"<GetBinContent(1)) + { + cout<<" QC{2,biased}/QC{2,corrected} = "<<(fCumulants[pW][eW][0]->GetBinContent(1))/(fCumulants[pW][eW][1]->GetBinContent(1))<GetBinContent(2)) + { + cout<<" QC{4,biased}/QC{4,corrected} = "<GetBinContent(2)/fCumulants[pW][eW][1]->GetBinContent(2)<_{1n|1n} = two1n1nW1W1 = + // 2nd bin: <2>_{2n|2n} = two2n2nW2W2 = + // 3rd bin: <2>_{3n|3n} = two3n3nW3W3 = + // 4th bin: <2>_{4n|4n} = two4n4nW4W4 = + // 5th bin: ---- EMPTY ---- + // 6th bin: <3>_{2n|1n,1n} = three2n1n1nW2W1W1 = + // 7th bin: <3>_{3n|2n,1n} = ... + // 8th bin: <3>_{4n|2n,2n} = ... + // 9th bin: <3>_{4n|3n,1n} = ... + // 10th bin: ---- EMPTY ---- + // 11th bin: <4>_{1n,1n|1n,1n} = four1n1n1n1nW1W1W1W1 = + // 12th bin: <4>_{2n,1n|2n,1n} = ... + // 13th bin: <4>_{2n,2n|2n,2n} = ... + // 14th bin: <4>_{3n|1n,1n,1n} = ... + // 15th bin: <4>_{3n,1n|3n,1n} = ... + // 16th bin: <4>_{3n,1n|2n,2n} = ... + // 17th bin: <4>_{4n|2n,1n,1n} = ... + // 18th bin: ---- EMPTY ---- + // 19th bin: <5>_{2n|1n,1n,1n,1n} = ... + // 20th bin: <5>_{2n,2n|2n,1n,1n} = ... + // 21st bin: <5>_{3n,1n|2n,1n,1n} = ... + // 22nd bin: <5>_{4n|1n,1n,1n,1n} = ... + // 23rd bin: ---- EMPTY ---- + // 24th bin: <6>_{1n,1n,1n|1n,1n,1n} = ... + // 25th bin: <6>_{2n,1n,1n|2n,1n,1n} = ... + // 26th bin: <6>_{2n,2n|1n,1n,1n,1n} = ... + // 27th bin: <6>_{3n,1n|1n,1n,1n,1n} = ... + // 28th bin: ---- EMPTY ---- + // 29th bin: <7>_{2n,1n,1n|1n,1n,1n,1n} = ... + // 30th bin: ---- EMPTY ---- + // 31st bin: <8>_{1n,1n,1n,1n|1n,1n,1n,1n} = ... + + // Remark 2: When particle weights are used there are some extra correlations. They are stored in + // fIntFlowExtraCorrelationsPro binning of which is organized as follows: + + // 1st bin: two1n1nW3W1 = + // 2nd bin: two1n1nW1W1W2 = + + // multiplicity (number of particles used to determine the reaction plane) + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n1k = (*fReQ)(0,1); + Double_t dReQ2n2k = (*fReQ)(1,2); + Double_t dReQ3n3k = (*fReQ)(2,3); + Double_t dReQ4n4k = (*fReQ)(3,4); + Double_t dReQ1n3k = (*fReQ)(0,3); + Double_t dImQ1n1k = (*fImQ)(0,1); + Double_t dImQ2n2k = (*fImQ)(1,2); + Double_t dImQ3n3k = (*fImQ)(2,3); + Double_t dImQ4n4k = (*fImQ)(3,4); + Double_t dImQ1n3k = (*fImQ)(0,3); + + // dMs are variables introduced in order to simplify some Eqs. bellow: + //.............................................................................................. + Double_t dM11 = (*fSMpk)(1,1)-(*fSMpk)(0,2); // dM11 = sum_{i,j=1,i!=j}^M w_i w_j + Double_t dM22 = (*fSMpk)(1,2)-(*fSMpk)(0,4); // dM22 = sum_{i,j=1,i!=j}^M w_i^2 w_j^2 + Double_t dM33 = (*fSMpk)(1,3)-(*fSMpk)(0,6); // dM33 = sum_{i,j=1,i!=j}^M w_i^3 w_j^3 + Double_t dM44 = (*fSMpk)(1,4)-(*fSMpk)(0,8); // dM44 = sum_{i,j=1,i!=j}^M w_i^4 w_j^4 + Double_t dM31 = (*fSMpk)(0,3)*(*fSMpk)(0,1)-(*fSMpk)(0,4); // dM31 = sum_{i,j=1,i!=j}^M w_i^3 w_j + Double_t dM211 = (*fSMpk)(0,2)*(*fSMpk)(1,1)-2.*(*fSMpk)(0,3)*(*fSMpk)(0,1) + - (*fSMpk)(1,2)+2.*(*fSMpk)(0,4); // dM211 = sum_{i,j,k=1,i!=j!=k}^M w_i^2 w_j w_k + Double_t dM1111 = (*fSMpk)(3,1)-6.*(*fSMpk)(0,2)*(*fSMpk)(1,1) + + 8.*(*fSMpk)(0,3)*(*fSMpk)(0,1) + + 3.*(*fSMpk)(1,2)-6.*(*fSMpk)(0,4); // dM1111 = sum_{i,j,k,l=1,i!=j!=k!=l}^M w_i w_j w_k w_l + //.............................................................................................. + + // 2-particle correlations: + Double_t two1n1nW1W1 = 0.; // + Double_t two2n2nW2W2 = 0.; // + Double_t two3n3nW3W3 = 0.; // + Double_t two4n4nW4W4 = 0.; // + if(dMult>1) + { + if(dM11) + { + two1n1nW1W1 = (pow(dReQ1n1k,2)+pow(dImQ1n1k,2)-(*fSMpk)(0,2))/dM11; + // average correlation for single event: + fIntFlowCorrelationsEBE->SetBinContent(1,two1n1nW1W1); + fIntFlowEventWeightsForCorrelationsEBE->SetBinContent(1,dM11); + // average correlation for all events: + fIntFlowCorrelationsPro->Fill(0.5,two1n1nW1W1,dM11); + fIntFlowCorrelationsAllPro->Fill(0.5,two1n1nW1W1,dM11); + } + if(dM22) + { + two2n2nW2W2 = (pow(dReQ2n2k,2)+pow(dImQ2n2k,2)-(*fSMpk)(0,4))/dM22; + // ... + // average correlation for all events: + fIntFlowCorrelationsAllPro->Fill(1.5,two2n2nW2W2,dM22); + } + if(dM33) + { + two3n3nW3W3 = (pow(dReQ3n3k,2)+pow(dImQ3n3k,2)-(*fSMpk)(0,6))/dM33; + // ... + // average correlation for all events: + fIntFlowCorrelationsAllPro->Fill(2.5,two3n3nW3W3,dM33); + } + if(dM44) + { + two4n4nW4W4 = (pow(dReQ4n4k,2)+pow(dImQ4n4k,2)-(*fSMpk)(0,8))/dM44; + // ... + // average correlation for all events: + fIntFlowCorrelationsAllPro->Fill(3.5,two4n4nW4W4,dM44); + } + } // end of if(dMult>1) + + // extra 2-particle correlations: + Double_t two1n1nW3W1 = 0.; // + Double_t two1n1nW1W1W2 = 0.; // + if(dMult>1) + { + if(dM31) + { + two1n1nW3W1 = (dReQ1n3k*dReQ1n1k+dImQ1n3k*dImQ1n1k-(*fSMpk)(0,4))/dM31; + fIntFlowExtraCorrelationsPro->Fill(0.5,two1n1nW3W1,dM31); + } + if(dM211) + { + two1n1nW1W1W2 = ((*fSMpk)(0,2)*(pow(dReQ1n1k,2)+pow(dImQ1n1k,2)-(*fSMpk)(0,2)) + - 2.*(dReQ1n3k*dReQ1n1k+dImQ1n3k*dImQ1n1k + - (*fSMpk)(0,4)))/dM211; + fIntFlowExtraCorrelationsPro->Fill(1.5,two1n1nW1W1W2,dM211); + } + } // end of if(dMult>1) + //.............................................................................................. + + //.............................................................................................. + // 3-particle correlations: + Double_t three2n1n1nW2W1W1 = 0.; // + + if(dMult>2) + { + if(dM211) + { + three2n1n1nW2W1W1 = (pow(dReQ1n1k,2.)*dReQ2n2k+2.*dReQ1n1k*dImQ1n1k*dImQ2n2k-pow(dImQ1n1k,2.)*dReQ2n2k + - 2.*(dReQ1n3k*dReQ1n1k+dImQ1n3k*dImQ1n1k) + - pow(dReQ2n2k,2)-pow(dImQ2n2k,2) + + 2.*(*fSMpk)(0,4))/dM211; + fIntFlowCorrelationsAllPro->Fill(5.5,three2n1n1nW2W1W1,dM211); + } + } // end of if(dMult>2) + //.............................................................................................. + + //.............................................................................................. + // 4-particle correlations: + Double_t four1n1n1n1nW1W1W1W1 = 0.; // + if(dMult>3) + { + if(dM1111) + { + four1n1n1n1nW1W1W1W1 = (pow(pow(dReQ1n1k,2.)+pow(dImQ1n1k,2.),2) + - 2.*(pow(dReQ1n1k,2.)*dReQ2n2k+2.*dReQ1n1k*dImQ1n1k*dImQ2n2k-pow(dImQ1n1k,2.)*dReQ2n2k) + + 8.*(dReQ1n3k*dReQ1n1k+dImQ1n3k*dImQ1n1k) + + (pow(dReQ2n2k,2)+pow(dImQ2n2k,2)) + - 4.*(*fSMpk)(0,2)*(pow(dReQ1n1k,2)+pow(dImQ1n1k,2)) + - 6.*(*fSMpk)(0,4)+2.*(*fSMpk)(1,2))/dM1111; + + // average correlation for single event: + fIntFlowCorrelationsEBE->SetBinContent(2,four1n1n1n1nW1W1W1W1); + fIntFlowEventWeightsForCorrelationsEBE->SetBinContent(2,dM1111); + // average correlation for all events: + fIntFlowCorrelationsPro->Fill(1.5,four1n1n1n1nW1W1W1W1,dM1111); + fIntFlowCorrelationsAllPro->Fill(10.5,four1n1n1n1nW1W1W1W1,dM1111); + } + } // end of if(dMult>3) + //.............................................................................................. + +} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlowCorrelationsUsingParticleWeights() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateWeightedQProductsForIntFlow() // to be improved (completed) +{ + // calculate averages like <<2><4>>, <<2><6>>, <<4><6>>, etc. which are needed to calculate covariances + // Remark: here we take weighted correlations! + + /* + + // binning of fQProductsW is organized as follows: + // + // 1st bin: <2><4> + // 2nd bin: <2><6> + // 3rd bin: <2><8> + // 4th bin: <4><6> + // 5th bin: <4><8> + // 6th bin: <6><8> + + Double_t dMult = (*fSMpk)(0,0); // multiplicity (number of particles used to determine the reaction plane) + + Double_t dM11 = (*fSMpk)(1,1)-(*fSMpk)(0,2); // dM11 = sum_{i,j=1,i!=j}^M w_i w_j + Double_t dM1111 = (*fSMpk)(3,1)-6.*(*fSMpk)(0,2)*(*fSMpk)(1,1) + + 8.*(*fSMpk)(0,3)*(*fSMpk)(0,1) + + 3.*(*fSMpk)(1,2)-6.*(*fSMpk)(0,4); // dM1111 = sum_{i,j,k,l=1,i!=j!=k!=l}^M w_i w_j w_k w_l + + Double_t twoEBEW = 0.; // <2> + Double_t fourEBEW = 0.; // <4> + + twoEBEW = fQCorrelationsEBE[1]->GetBinContent(1); + fourEBEW = fQCorrelationsEBE[1]->GetBinContent(11); + + // <2><4> + if(dMult>3) + { + fQProducts[1][0]->Fill(0.5,twoEBEW*fourEBEW,dM11*dM1111); + } + + */ + +} // end of AliFlowAnalysisWithQCumulants::CalculateWeightedQProductsForIntFlow() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::InitializeArraysForIntFlow() +{ + // Initialize all arrays used to calculate integrated flow. + + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + fIntFlowCorrectionTermsForNUAEBE[sc] = NULL; + fIntFlowEventWeightForCorrectionTermsForNUAEBE[sc] = NULL; + fIntFlowCorrectionTermsForNUAPro[sc] = NULL; + fIntFlowCorrectionTermsForNUAHist[sc] = NULL; + for(Int_t power=0;power<2;power++) // linear or quadratic + { + fIntFlowSumOfEventWeightsNUA[sc][power] = NULL; + } + } + for(Int_t power=0;power<2;power++) // linear or quadratic + { + fIntFlowSumOfEventWeights[power] = NULL; + } + for(Int_t i=0;i<3;i++) // print on the screen the final results (0=NONAME, 1=RP, 2=POI) + { + fPrintFinalResults[i] = kTRUE; + } + for(Int_t ci=0;ci<4;ci++) // correlation index or cumulant order + { + fIntFlowCorrelationsVsMPro[ci] = NULL; + fIntFlowCorrelationsVsMHist[ci] = NULL; + fIntFlowQcumulantsVsM[ci] = NULL; + fIntFlowVsM[ci] = NULL; + for(Int_t lc=0;lc<2;lc++) + { + fIntFlowSumOfEventWeightsVsM[ci][lc] = NULL; + } + } + for(Int_t pi=0;pi<6;pi++) // product or covariance index + { + fIntFlowProductOfCorrelationsVsMPro[pi] = NULL; + fIntFlowCovariancesVsM[pi] = NULL; + fIntFlowSumOfProductOfEventWeightsVsM[pi] = NULL; + } + +} // end of void AliFlowAnalysisWithQCumulants::InitializeArraysForIntFlow() + +//================================================================================================================================ + +void AliFlowAnalysisWithQCumulants::InitializeArraysForDiffFlow() +{ + // Initialize all arrays needed to calculate differential flow. + // a) Initialize lists holding profiles; + // b) Initialize lists holding histograms; + // c) Initialize event-by-event quantities; + // d) Initialize profiles; + // e) Initialize histograms holding final results. + + // a) Initialize lists holding profiles; + for(Int_t t=0;t<2;t++) // type (RP, POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + fDiffFlowCorrelationsProList[t][pe] = NULL; + fDiffFlowProductOfCorrelationsProList[t][pe] = NULL; + fDiffFlowCorrectionsProList[t][pe] = NULL; + } + } + + // b) Initialize lists holding histograms; + for(Int_t t=0;t<2;t++) // type (RP, POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + fDiffFlowCorrelationsHistList[t][pe] = NULL; + for(Int_t power=0;power<2;power++) + { + fDiffFlowSumOfEventWeightsHistList[t][pe][power] = NULL; + } // end of for(Int_t power=0;power<2;power++) + fDiffFlowSumOfProductOfEventWeightsHistList[t][pe] = NULL; + fDiffFlowCorrectionsHistList[t][pe] = NULL; + fDiffFlowCovariancesHistList[t][pe] = NULL; + fDiffFlowCumulantsHistList[t][pe] = NULL; + fDiffFlowHistList[t][pe] = NULL; + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // enf of for(Int_t t=0;t<2;t++) // type (RP, POI) + + // c) Initialize event-by-event quantities: + // 1D: + for(Int_t t=0;t<3;t++) // type (RP, POI, POI&&RP) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t m=0;m<4;m++) // multiple of harmonic + { + for(Int_t k=0;k<9;k++) // power of weight + { + fReRPQ1dEBE[t][pe][m][k] = NULL; + fImRPQ1dEBE[t][pe][m][k] = NULL; + fs1dEBE[t][pe][k] = NULL; // to be improved (this doesn't need to be within loop over m) + } + } + } + } + // 1D: + for(Int_t t=0;t<2;t++) // type (RP or POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowCorrectionTermsForNUAEBE[t][pe][sc][cti] = NULL; + } + } + } + } + // 2D: + for(Int_t t=0;t<3;t++) // type (RP, POI, POI&&RP) + { + for(Int_t m=0;m<4;m++) // multiple of harmonic + { + for(Int_t k=0;k<9;k++) // power of weight + { + fReRPQ2dEBE[t][m][k] = NULL; + fImRPQ2dEBE[t][m][k] = NULL; + fs2dEBE[t][k] = NULL; // to be improved (this doesn't need to be within loop over m) + } + } + } + + // d) Initialize profiles: + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t ci=0;ci<4;ci++) // correlation index + { + fDiffFlowCorrelationsPro[t][pe][ci] = NULL; + } // end of for(Int_t ci=0;ci<4;ci++) + for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index + { + for(Int_t mci2=0;mci2<8;mci2++) // mixed correlation index + { + fDiffFlowProductOfCorrelationsPro[t][pe][mci1][mci2] = NULL; + } // end of for(Int_t mci2=0;mci2<8;mci2++) // mixed correlation index + } // end of for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index + // correction terms for nua: + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowCorrectionTermsForNUAPro[t][pe][sc][cti] = NULL; + } + } + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + + // e) Initialize histograms holding final results. + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t ci=0;ci<4;ci++) // correlation index + { + fDiffFlowCorrelationsHist[t][pe][ci] = NULL; + fDiffFlowCumulants[t][pe][ci] = NULL; + fDiffFlow[t][pe][ci] = NULL; + } // end of for(Int_t ci=0;ci<4;ci++) + for(Int_t covarianceIndex=0;covarianceIndex<5;covarianceIndex++) + { + fDiffFlowCovariances[t][pe][covarianceIndex] = NULL; + } // end of for(Int_t covarianceIndex=0;covarianceIndex<5;covarianceIndex++) + // correction terms for nua: + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowCorrectionTermsForNUAHist[t][pe][sc][cti] = NULL; + } + } + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + + // sum of event weights for reduced correlations: + for(Int_t t=0;t<2;t++) // type = RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t p=0;p<2;p++) // power of weight is 1 or 2 + { + for(Int_t ew=0;ew<4;ew++) // event weight index for reduced correlations + { + fDiffFlowSumOfEventWeights[t][pe][p][ew] = NULL; + } + } + } + } + // product of event weights for both types of correlations: + for(Int_t t=0;t<2;t++) // type = RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index + { + for(Int_t mci2=0;mci2<8;mci2++) // mixed correlation index + { + fDiffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2] = NULL; + } + } + } + } + + + + + /* + + // nested lists in fDiffFlowProfiles: + for(Int_t t=0;t<2;t++) + { + fDFPType[t] = NULL; + for(Int_t pW=0;pW<2;pW++) // particle weights not used (0) or used (1) + { + fDFPParticleWeights[t][pW] = NULL; + for(Int_t eW=0;eW<2;eW++) + { + fDFPEventWeights[t][pW][eW] = NULL; + fDiffFlowCorrelations[t][pW][eW] = NULL; + fDiffFlowProductsOfCorrelations[t][pW][eW] = NULL; + for(Int_t sc=0;sc<2;sc++) + { + fDiffFlowCorrectionTerms[t][pW][eW][sc] = NULL; + } + } + } + } + + + */ + + + + /* + for(Int_t pW=0;pW<2;pW++) // particle weights not used (0) or used (1) + { + for(Int_t eW=0;eW<2;eW++) + { + // correlations: + for(Int_t correlationIndex=0;correlationIndex<4;correlationIndex++) + { + fCorrelationsPro[t][pW][eW][correlationIndex] = NULL; + } + // products of correlations: + for(Int_t productOfCorrelationsIndex=0;productOfCorrelationsIndex<6;productOfCorrelationsIndex++) + { + fProductsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex] = NULL; + } + // correction terms: + for(Int_t sc=0;sc<2;sc++) + { + for(Int_t correctionsIndex=0;correctionsIndex<2;correctionsIndex++) + { + fCorrectionTermsPro[t][pW][eW][sc][correctionsIndex] = NULL; + } + } + } + } + */ + +} // end of AliFlowAnalysisWithQCumulants::InitializeArraysForDiffFlow() + + +//================================================================================================================================ + /* + + +void AliFlowAnalysisWithQCumulants::CalculateCorrelationsForDifferentialFlow2D(TString type) +{ + // calculate all reduced correlations needed for differential flow for each (pt,eta) bin: + + if(type == "RP") // to be improved (removed) + { + cout< + // 1: <4'> + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n = (*fReQ)(0,0); + Double_t dReQ2n = (*fReQ)(1,0); + //Double_t dReQ3n = (*fReQ)(2,0); + //Double_t dReQ4n = (*fReQ)(3,0); + Double_t dImQ1n = (*fImQ)(0,0); + Double_t dImQ2n = (*fImQ)(1,0); + //Double_t dImQ3n = (*fImQ)(2,0); + //Double_t dImQ4n = (*fImQ)(3,0); + + // looping over all (pt,eta) bins and calculating correlations needed for differential flow: + for(Int_t p=1;p<=fnBinsPt;p++) + { + for(Int_t e=1;e<=fnBinsEta;e++) + { + // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular (pt,eta) bin): + Double_t p1n0kRe = 0.; + Double_t p1n0kIm = 0.; + + // number of POIs in particular (pt,eta) bin: + Double_t mp = 0.; + + // real and imaginary parts of q_{m*n,0} (non-weighted Q-vector evaluated for particles which are both RPs and POIs in particular (pt,eta) bin): + Double_t q1n0kRe = 0.; + Double_t q1n0kIm = 0.; + Double_t q2n0kRe = 0.; + Double_t q2n0kIm = 0.; + + // number of particles which are both RPs and POIs in particular (pt,eta) bin: + Double_t mq = 0.; + + // q_{m*n,0}: + q1n0kRe = fReEBE2D[2][0][0]->GetBinContent(fReEBE2D[2][0][0]->GetBin(p,e)) + * fReEBE2D[2][0][0]->GetBinEntries(fReEBE2D[2][0][0]->GetBin(p,e)); + q1n0kIm = fImEBE2D[2][0][0]->GetBinContent(fImEBE2D[2][0][0]->GetBin(p,e)) + * fImEBE2D[2][0][0]->GetBinEntries(fImEBE2D[2][0][0]->GetBin(p,e)); + q2n0kRe = fReEBE2D[2][1][0]->GetBinContent(fReEBE2D[2][1][0]->GetBin(p,e)) + * fReEBE2D[2][1][0]->GetBinEntries(fReEBE2D[2][1][0]->GetBin(p,e)); + q2n0kIm = fImEBE2D[2][1][0]->GetBinContent(fImEBE2D[2][1][0]->GetBin(p,e)) + * fImEBE2D[2][1][0]->GetBinEntries(fImEBE2D[2][1][0]->GetBin(p,e)); + + mq = fReEBE2D[2][0][0]->GetBinEntries(fReEBE2D[2][0][0]->GetBin(p,e)); // to be improved (cross-checked by accessing other profiles here) + + if(type == "POI") + { + // p_{m*n,0}: + p1n0kRe = fReEBE2D[1][0][0]->GetBinContent(fReEBE2D[1][0][0]->GetBin(p,e)) + * fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); + p1n0kIm = fImEBE2D[1][0][0]->GetBinContent(fImEBE2D[1][0][0]->GetBin(p,e)) + * fImEBE2D[1][0][0]->GetBinEntries(fImEBE2D[1][0][0]->GetBin(p,e)); + + mp = fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); // to be improved (cross-checked by accessing other profiles here) + + typeFlag = 1; + } + else if(type == "RP") + { + // p_{m*n,0} = q_{m*n,0}: + p1n0kRe = q1n0kRe; + p1n0kIm = q1n0kIm; + mp = mq; + + typeFlag = 0; + } + + // count events with non-empty (pt,eta) bin: + if(mp>0) + { + fNonEmptyBins2D[typeFlag]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,1); + } + + // 2'-particle correlation for particular (pt,eta) bin: + Double_t two1n1nPtEta = 0.; + if(mp*dMult-mq) + { + two1n1nPtEta = (p1n0kRe*dReQ1n+p1n0kIm*dImQ1n-mq) + / (mp*dMult-mq); + + // fill the 2D profile to get the average correlation for each (pt,eta) bin: + if(type == "POI") + { + //f2pPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); + + fCorrelationsPro[1][0][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); + } + else if(type == "RP") + { + //f2pPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); + fCorrelationsPro[0][0][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nPtEta,mp*dMult-mq); + } + } // end of if(mp*dMult-mq) + + // 4'-particle correlation: + Double_t four1n1n1n1nPtEta = 0.; + if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) // to be improved (introduce a new variable for this expression) + { + four1n1n1n1nPtEta = ((pow(dReQ1n,2.)+pow(dImQ1n,2.))*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) + - q2n0kRe*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) + - 2.*q2n0kIm*dReQ1n*dImQ1n + - p1n0kRe*(dReQ1n*dReQ2n+dImQ1n*dImQ2n) + + p1n0kIm*(dImQ1n*dReQ2n-dReQ1n*dImQ2n) + - 2.*dMult*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) + - 2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*mq + + 6.*(q1n0kRe*dReQ1n+q1n0kIm*dImQ1n) + + 1.*(q2n0kRe*dReQ2n+q2n0kIm*dImQ2n) + + 2.*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) + + 2.*mq*dMult + - 6.*mq) + / ((mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + + // fill the 2D profile to get the average correlation for each (pt, eta) bin: + if(type == "POI") + { + //f4pPtEtaPOI->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, + // (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + // + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + + fCorrelationsPro[1][0][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, + (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + } + else if(type == "RP") + { + //f4pPtEtaRP->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, + // (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + // + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + + fCorrelationsPro[0][0][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nPtEta, + (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + } + } // end of if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) + // +mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) + + } // end of for(Int_t e=1;e<=fnBinsEta;e++) + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + + + + + +} // end of AliFlowAnalysisWithQCumulants::CalculateCorrelationsForDifferentialFlow2D() + + + + + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateWeightedCorrelationsForDifferentialFlow2D(TString type) +{ + // calculate all weighted correlations needed for differential flow + + if(type == "RP") // to be improved (removed) + { + cout<GetBinContent(fReEBE2D[1][0][0]->GetBin(p,e)) + * fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); + p1n0kIm = fImEBE2D[1][0][0]->GetBinContent(fImEBE2D[1][0][0]->GetBin(p,e)) + * fImEBE2D[1][0][0]->GetBinEntries(fImEBE2D[1][0][0]->GetBin(p,e)); + + mp = fReEBE2D[1][0][0]->GetBinEntries(fReEBE2D[1][0][0]->GetBin(p,e)); + + // q_{m*n,k}: + q1n2kRe = fReEBE2D[2][0][2]->GetBinContent(fReEBE2D[2][0][2]->GetBin(p,e)) + * fReEBE2D[2][0][2]->GetBinEntries(fReEBE2D[2][0][2]->GetBin(p,e)); + q1n2kIm = fImEBE2D[2][0][2]->GetBinContent(fImEBE2D[2][0][2]->GetBin(p,e)) + * fImEBE2D[2][0][2]->GetBinEntries(fImEBE2D[2][0][2]->GetBin(p,e)); + q2n1kRe = fReEBE2D[2][1][1]->GetBinContent(fReEBE2D[2][1][1]->GetBin(p,e)) + * fReEBE2D[2][1][1]->GetBinEntries(fReEBE2D[2][1][1]->GetBin(p,e)); + q2n1kIm = fImEBE2D[2][1][1]->GetBinContent(fImEBE2D[2][1][1]->GetBin(p,e)) + * fImEBE2D[2][1][1]->GetBinEntries(fImEBE2D[2][1][1]->GetBin(p,e)); + + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + s1p1k = pow(fs2D[2][1]->GetBinContent(fs2D[2][1]->GetBin(p,e)),1.); + s1p2k = pow(fs2D[2][2]->GetBinContent(fs2D[2][2]->GetBin(p,e)),1.); + s1p3k = pow(fs2D[2][3]->GetBinContent(fs2D[2][3]->GetBin(p,e)),1.); + + // M0111 from Eq. (118) in QC2c (to be improved (notation)): + dM0111 = mp*(dSM3p1k-3.*dSM1p1k*dSM1p2k+2.*dSM1p3k) + - 3.*(s1p1k*(dSM2p1k-dSM1p2k) + + 2.*(s1p3k-s1p2k*dSM1p1k)); + } + else if(type == "RP") + { + p1n0kRe = fReEBE2D[0][0][0]->GetBinContent(fReEBE2D[0][0][0]->GetBin(p,e)) + * fReEBE2D[0][0][0]->GetBinEntries(fReEBE2D[0][0][0]->GetBin(p,e)); + p1n0kIm = fImEBE2D[0][0][0]->GetBinContent(fImEBE2D[0][0][0]->GetBin(p,e)) + * fImEBE2D[0][0][0]->GetBinEntries(fImEBE2D[0][0][0]->GetBin(p,e)); + + mp = fReEBE2D[0][0][0]->GetBinEntries(fReEBE2D[0][0][0]->GetBin(p,e)); + + // q_{m*n,k}: + q1n2kRe = fReEBE2D[0][0][2]->GetBinContent(fReEBE2D[0][0][2]->GetBin(p,e)) + * fReEBE2D[0][0][2]->GetBinEntries(fReEBE2D[0][0][2]->GetBin(p,e)); + q1n2kIm = fImEBE2D[0][0][2]->GetBinContent(fImEBE2D[0][0][2]->GetBin(p,e)) + * fImEBE2D[0][0][2]->GetBinEntries(fImEBE2D[0][0][2]->GetBin(p,e)); + q2n1kRe = fReEBE2D[0][1][1]->GetBinContent(fReEBE2D[0][1][1]->GetBin(p,e)) + * fReEBE2D[0][1][1]->GetBinEntries(fReEBE2D[0][1][1]->GetBin(p,e)); + q2n1kIm = fImEBE2D[0][1][1]->GetBinContent(fImEBE2D[0][1][1]->GetBin(p,e)) + * fImEBE2D[0][1][1]->GetBinEntries(fImEBE2D[0][1][1]->GetBin(p,e)); + + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + s1p1k = pow(fs2D[0][1]->GetBinContent(fs2D[0][1]->GetBin(p,e)),1.); + s1p2k = pow(fs2D[0][2]->GetBinContent(fs2D[0][2]->GetBin(p,e)),1.); + s1p3k = pow(fs2D[0][3]->GetBinContent(fs2D[0][3]->GetBin(p,e)),1.); + + // M0111 from Eq. (118) in QC2c (to be improved (notation)): + dM0111 = mp*(dSM3p1k-3.*dSM1p1k*dSM1p2k+2.*dSM1p3k) + - 3.*(s1p1k*(dSM2p1k-dSM1p2k) + + 2.*(s1p3k-s1p2k*dSM1p1k)); + //............................................................................................... + } + + // 2'-particle correlation: + Double_t two1n1nW0W1PtEta = 0.; + if(mp*dSM1p1k-s1p1k) + { + two1n1nW0W1PtEta = (p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k-s1p1k) + / (mp*dSM1p1k-s1p1k); + + // fill the 2D profile to get the average correlation for each (pt, eta) bin: + if(type == "POI") + { + //f2pPtEtaPOIW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta, + // mp*dSM1p1k-s1p1k); + fCorrelationsPro[1][1][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta,mp*dSM1p1k-s1p1k); + } + else if(type == "RP") + { + //f2pPtEtaRPW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta, + // mp*dSM1p1k-s1p1k); + fCorrelationsPro[0][1][0][0]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,two1n1nW0W1PtEta,mp*dSM1p1k-s1p1k); + } + } // end of if(mp*dMult-dmPrimePrimePtEta) + + // 4'-particle correlation: + Double_t four1n1n1n1nW0W1W1W1PtEta = 0.; + if(dM0111) + { + four1n1n1n1nW0W1W1W1PtEta = ((pow(dReQ1n1k,2.)+pow(dImQ1n1k,2.))*(p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k) + - q2n1kRe*(pow(dReQ1n1k,2.)-pow(dImQ1n1k,2.)) + - 2.*q2n1kIm*dReQ1n1k*dImQ1n1k + - p1n0kRe*(dReQ1n1k*dReQ2n2k+dImQ1n1k*dImQ2n2k) + + p1n0kIm*(dImQ1n1k*dReQ2n2k-dReQ1n1k*dImQ2n2k) + - 2.*dSM1p2k*(p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k) + - 2.*(pow(dReQ1n1k,2.)+pow(dImQ1n1k,2.))*s1p1k + + 6.*(q1n2kRe*dReQ1n1k+q1n2kIm*dImQ1n1k) + + 1.*(q2n1kRe*dReQ2n2k+q2n1kIm*dImQ2n2k) + + 2.*(p1n0kRe*dReQ1n3k+p1n0kIm*dImQ1n3k) + + 2.*s1p1k*dSM1p2k + - 6.*s1p3k) + / dM0111; // to be imropoved (notation of dM0111) + + // fill the 2D profile to get the average correlation for each (pt, eta) bin: + if(type == "POI") + { + //f4pPtEtaPOIW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); + fCorrelationsPro[1][1][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); + } + else if(type == "RP") + { + //f4pPtEtaRPW->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); + fCorrelationsPro[0][1][0][1]->Fill(fPtMin+(p-1)*fPtBinWidth,fEtaMin+(e-1)*fEtaBinWidth,four1n1n1n1nW0W1W1W1PtEta,dM0111); + } + } // end of if(dM0111) + + } // end of for(Int_t e=1;e<=fnBinsEta;e++) + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + + + + +} // end of AliFlowAnalysisWithQCumulants::CalculateWeightedCorrelationsForDifferentialFlow2D(TString type) + + +//================================================================================================================================ + + */ + +/* +void AliFlowAnalysisWithQCumulants::FinalizeCorrelationsForDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights) +{ + // 1.) Access average for 2D correlations from profiles and store them in 2D final results histograms; + // 2.) Access spread for 2D correlations from profiles, calculate error and store it in 2D final results histograms; + // 3.) Make projections along pt and eta axis and store results and errors in 1D final results histograms. + + Int_t typeFlag = -1; + Int_t pWeightsFlag = -1; + Int_t eWeightsFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } else + { + cout<<"WARNING: type must be either RP or POI in AFAWQC::FCFDF() !!!!"<GetBinContent(fNonEmptyBins2D[t]->GetBin(p,e))); + } + fNonEmptyBins1D[t][0]->SetBinContent(p,contentPt); + } + // eta: + for(Int_t e=1;eGetBinContent(fNonEmptyBins2D[t]->GetBin(p,e))); + } + fNonEmptyBins1D[t][1]->SetBinContent(e,contentEta); + } + + // from 2D profile in (pt,eta) make two 1D profiles in (pt) and (eta): + TProfile *profile[2][4]; // [0=pt,1=eta][correlation index] // to be improved (do not hardwire the correlation index) + + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t ci=0;ci<4;ci++) // correlation index + { + if(pe==0) profile[pe][ci] = this->MakePtProjection(fCorrelationsPro[t][pW][eW][ci]); + if(pe==1) profile[pe][ci] = this->MakeEtaProjection(fCorrelationsPro[t][pW][eW][ci]); + } + } + + // transfer 2D profile into 2D histogram: + // to be improved (see in documentation if there is a method to transfer values from 2D profile into 2D histogram) + for(Int_t ci=0;ci<4;ci++) + { + for(Int_t p=1;p<=fnBinsPt;p++) + { + for(Int_t e=1;e<=fnBinsEta;e++) + { + Double_t correlation = fCorrelationsPro[t][pW][eW][ci]->GetBinContent(fCorrelationsPro[t][pW][eW][ci]->GetBin(p,e)); + Double_t spread = fCorrelationsPro[t][pW][eW][ci]->GetBinError(fCorrelationsPro[t][pW][eW][ci]->GetBin(p,e)); + Double_t nEvts = fNonEmptyBins2D[t]->GetBinContent(fNonEmptyBins2D[t]->GetBin(p,e)); + Double_t error = 0.; + fFinalCorrelations2D[t][pW][eW][ci]->SetBinContent(fFinalCorrelations2D[t][pW][eW][ci]->GetBin(p,e),correlation); + if(nEvts>0) + { + error = spread/pow(nEvts,0.5); + fFinalCorrelations2D[t][pW][eW][ci]->SetBinError(fFinalCorrelations2D[t][pW][eW][ci]->GetBin(p,e),error); + } + } // end of for(Int_t e=1;e<=fnBinsEta;e++) + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + } // end of for(Int_t ci=0;ci<4;ci++) + + // transfer 1D profile into 1D histogram (pt): + // to be improved (see in documentation if there is a method to transfer values from 1D profile into 1D histogram) + for(Int_t ci=0;ci<4;ci++) + { + for(Int_t p=1;p<=fnBinsPt;p++) + { + if(profile[0][ci]) + { + Double_t correlation = profile[0][ci]->GetBinContent(p); + Double_t spread = profile[0][ci]->GetBinError(p); + Double_t nEvts = fNonEmptyBins1D[t][0]->GetBinContent(p); + Double_t error = 0.; + fFinalCorrelations1D[t][pW][eW][0][ci]->SetBinContent(p,correlation); + if(nEvts>0) + { + error = spread/pow(nEvts,0.5); + fFinalCorrelations1D[t][pW][eW][0][ci]->SetBinError(p,error); + } + } + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + } // end of for(Int_t ci=0;ci<4;ci++) + + // transfer 1D profile into 1D histogram (eta): + // to be improved (see in documentation if there is a method to transfer values from 1D profile into 1D histogram) + for(Int_t ci=0;ci<4;ci++) + { + for(Int_t e=1;e<=fnBinsEta;e++) + { + if(profile[1][ci]) + { + Double_t correlation = profile[1][ci]->GetBinContent(e); + fFinalCorrelations1D[t][pW][eW][1][ci]->SetBinContent(e,correlation); + } + } // end of for(Int_t e=1;e<=fnBinsEta;e++) + } // end of for(Int_t ci=0;ci<4;ci++) + +} // end of void AliFlowAnalysisWithQCumulants::FinalizeCorrelationsForDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights) +*/ + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCumulants(TString type, TString ptOrEta) +{ + // calcualate cumulants for differential flow from measured correlations + // Remark: cumulants calculated here are NOT corrected for non-uniform acceptance. This correction is applied in the method ... + // to be improved (description) + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + // common: + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + + // correlation <<2>>: + Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); + + // 1D: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // reduced correlations: + Double_t twoPrime = fDiffFlowCorrelationsHist[t][pe][0]->GetBinContent(b); // <<2'>>(pt) + Double_t fourPrime = fDiffFlowCorrelationsHist[t][pe][1]->GetBinContent(b); // <<4'>>(pt) + // final statistical error of reduced correlations: + //Double_t twoPrimeError = fFinalCorrelations1D[t][pW][eW][0][0]->GetBinError(p); + // QC{2'}: + Double_t qc2Prime = twoPrime; // QC{2'} + //Double_t qc2PrimeError = twoPrimeError; // final stat. error of QC{2'} + fDiffFlowCumulants[t][pe][0]->SetBinContent(b,qc2Prime); + //fFinalCumulantsPt[t][pW][eW][nua][0]->SetBinError(p,qc2PrimeError); + // QC{4'}: + Double_t qc4Prime = fourPrime - 2.*twoPrime*two; // QC{4'} = <<4'>> - 2*<<2'>><<2>> + fDiffFlowCumulants[t][pe][1]->SetBinContent(b,qc4Prime); + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + + + /* + // 2D (pt,eta): + // to be improved (see documentation if I can do all this without looping) + for(Int_t p=1;p<=fnBinsPt;p++) + { + for(Int_t e=1;e<=fnBinsEta;e++) + { + // reduced correlations: + Double_t twoPrime = fFinalCorrelations2D[t][pW][eW][0]->GetBinContent(fFinalCorrelations2D[t][pW][eW][0]->GetBin(p,e)); // <<2'>>(pt,eta) + Double_t fourPrime = fFinalCorrelations2D[t][pW][eW][1]->GetBinContent(fFinalCorrelations2D[t][pW][eW][1]->GetBin(p,e)); // <<4'>>(pt,eta) + for(Int_t nua=0;nua<2;nua++) + { + // QC{2'}: + Double_t qc2Prime = twoPrime; // QC{2'} = <<2'>> + fFinalCumulants2D[t][pW][eW][nua][0]->SetBinContent(fFinalCumulants2D[t][pW][eW][nua][0]->GetBin(p,e),qc2Prime); + // QC{4'}: + Double_t qc4Prime = fourPrime - 2.*twoPrime*two; // QC{4'} = <<4'>> - 2*<<2'>><<2>> + fFinalCumulants2D[t][pW][eW][nua][1]->SetBinContent(fFinalCumulants2D[t][pW][eW][nua][1]->GetBin(p,e),qc4Prime); + } // end of for(Int_t nua=0;nua<2;nua++) + } // end of for(Int_t e=1;e<=fnBinsEta;e++) + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + */ + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCumulants(TString type, Bool_t useParticleWeights, TString eventWeights); + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateFinalResultsForRPandPOIIntegratedFlow(TString type) +{ + // calculate final results for integrated flow of RPs and POIs + + Int_t typeFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } else + { + cout<<"WARNING: type must be either RP or POI in AFAWQC::CDF() !!!!"<GetHistPtPOI())->Clone(); + yield4thPt = (TH1F*)(fCommonHists4th->GetHistPtPOI())->Clone(); + yield6thPt = (TH1F*)(fCommonHists6th->GetHistPtPOI())->Clone(); + yield8thPt = (TH1F*)(fCommonHists8th->GetHistPtPOI())->Clone(); + } + else if(type == "RP") + { + yield2ndPt = (TH1F*)(fCommonHists2nd->GetHistPtRP())->Clone(); + yield4thPt = (TH1F*)(fCommonHists4th->GetHistPtRP())->Clone(); + yield6thPt = (TH1F*)(fCommonHists6th->GetHistPtRP())->Clone(); + yield8thPt = (TH1F*)(fCommonHists8th->GetHistPtRP())->Clone(); + } + + Int_t nBinsPt = yield2ndPt->GetNbinsX(); + + TH1D *flow2ndPt = NULL; + TH1D *flow4thPt = NULL; + TH1D *flow6thPt = NULL; + TH1D *flow8thPt = NULL; + + // to be improved (hardwired pt index) + flow2ndPt = (TH1D*)fDiffFlow[t][0][0]->Clone(); + flow4thPt = (TH1D*)fDiffFlow[t][0][1]->Clone(); + flow6thPt = (TH1D*)fDiffFlow[t][0][2]->Clone(); + flow8thPt = (TH1D*)fDiffFlow[t][0][3]->Clone(); + + Double_t dvn2nd = 0., dvn4th = 0., dvn6th = 0., dvn8th = 0.; // differential flow + Double_t dErrvn2nd = 0., dErrvn4th = 0., dErrvn6th = 0., dErrvn8th = 0.; // error on differential flow + + Double_t dVn2nd = 0., dVn4th = 0., dVn6th = 0., dVn8th = 0.; // integrated flow + Double_t dErrVn2nd = 0., dErrVn4th = 0., dErrVn6th = 0., dErrVn8th = 0.; // error on integrated flow + + Double_t dYield2nd = 0., dYield4th = 0., dYield6th = 0., dYield8th = 0.; // pt yield + Double_t dSum2nd = 0., dSum4th = 0., dSum6th = 0., dSum8th = 0.; // needed for normalizing integrated flow + + // looping over pt bins: + for(Int_t p=1;pGetBinContent(p); + dvn4th = flow4thPt->GetBinContent(p); + dvn6th = flow6thPt->GetBinContent(p); + dvn8th = flow8thPt->GetBinContent(p); + + dErrvn2nd = flow2ndPt->GetBinError(p); + dErrvn4th = flow4thPt->GetBinError(p); + dErrvn6th = flow6thPt->GetBinError(p); + dErrvn8th = flow8thPt->GetBinError(p); + + dYield2nd = yield2ndPt->GetBinContent(p); + dYield4th = yield4thPt->GetBinContent(p); + dYield6th = yield6thPt->GetBinContent(p); + dYield8th = yield8thPt->GetBinContent(p); + + dVn2nd += dvn2nd*dYield2nd; + dVn4th += dvn4th*dYield4th; + dVn6th += dvn6th*dYield6th; + dVn8th += dvn8th*dYield8th; + + dSum2nd += dYield2nd; + dSum4th += dYield4th; + dSum6th += dYield6th; + dSum8th += dYield8th; + + dErrVn2nd += dYield2nd*dYield2nd*dErrvn2nd*dErrvn2nd; // ro be improved (check this relation) + dErrVn4th += dYield4th*dYield4th*dErrvn4th*dErrvn4th; + dErrVn6th += dYield6th*dYield6th*dErrvn6th*dErrvn6th; + dErrVn8th += dYield8th*dYield8th*dErrvn8th*dErrvn8th; + + } // end of for(Int_t p=1;pFillIntegratedFlowPOI(dVn2nd,dErrVn2nd); + fCommonHistsResults4th->FillIntegratedFlowPOI(dVn4th,dErrVn4th); + fCommonHistsResults6th->FillIntegratedFlowPOI(dVn6th,0.); // to be improved (errors) + fCommonHistsResults8th->FillIntegratedFlowPOI(dVn8th,0.); // to be improved (errors) + } + else if (type == "RP") + { + fCommonHistsResults2nd->FillIntegratedFlowRP(dVn2nd,dErrVn2nd); + fCommonHistsResults4th->FillIntegratedFlowRP(dVn4th,dErrVn4th); + fCommonHistsResults6th->FillIntegratedFlowRP(dVn6th,0.); // to be improved (errors) + fCommonHistsResults8th->FillIntegratedFlowRP(dVn8th,0.); // to be improved (errors) + } + + delete flow2ndPt; + delete flow4thPt; + //delete flow6thPt; + //delete flow8thPt; + + delete yield2ndPt; + delete yield4thPt; + delete yield6thPt; + delete yield8thPt; + +} // end of AliFlowAnalysisWithQCumulants::CalculateFinalResultsForRPandPOIIntegratedFlow(TString type) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::InitializeArraysForDistributions() +{ + // Initialize all arrays used for distributions. + + // a) Initialize arrays of histograms used to hold distributions of correlations; + // b) Initialize array to hold min and max values of correlations. + + // a) Initialize arrays of histograms used to hold distributions of correlations: + for(Int_t di=0;di<4;di++) // distribution index + { + fDistributions[di] = NULL; + } + + // b) Initialize default min and max values of correlations: + // (Remark: The default values bellow were chosen for v2=5% and M=500) + fMinValueOfCorrelation[0] = -0.01; // <2>_min + fMaxValueOfCorrelation[0] = 0.04; // <2>_max + fMinValueOfCorrelation[1] = -0.00002; // <4>_min + fMaxValueOfCorrelation[1] = 0.00015; // <4>_max + fMinValueOfCorrelation[2] = -0.0000003; // <6>_min + fMaxValueOfCorrelation[2] = 0.0000006; // <6>_max + fMinValueOfCorrelation[3] = -0.000000006; // <8>_min + fMaxValueOfCorrelation[3] = 0.000000003; // <8>_max + +} // end of void AliFlowAnalysisWithQCumulants::InitializeArraysForDistributions() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::BookEverythingForDistributions() +{ + // a) Book profile to hold all flags for distributions of correlations; + // b) Book all histograms to hold distributions of correlations. + + TString correlationIndex[4] = {"<2>","<4>","<6>","<8>"}; // to be improved (should I promote this to data members?) + + // a) Book profile to hold all flags for distributions of correlations: + TString distributionsFlagsName = "fDistributionsFlags"; + distributionsFlagsName += fAnalysisLabel->Data(); + fDistributionsFlags = new TProfile(distributionsFlagsName.Data(),"Flags for Distributions of Correlations",9,0,9); + fDistributionsFlags->SetTickLength(-0.01,"Y"); + fDistributionsFlags->SetMarkerStyle(25); + fDistributionsFlags->SetLabelSize(0.05); + fDistributionsFlags->SetLabelOffset(0.02,"Y"); + fDistributionsFlags->GetXaxis()->SetBinLabel(1,"Store or not?"); + fDistributionsFlags->GetXaxis()->SetBinLabel(2,"<2>_{min}"); + fDistributionsFlags->GetXaxis()->SetBinLabel(3,"<2>_{max}"); + fDistributionsFlags->GetXaxis()->SetBinLabel(4,"<4>_{min}"); + fDistributionsFlags->GetXaxis()->SetBinLabel(5,"<4>_{max}"); + fDistributionsFlags->GetXaxis()->SetBinLabel(6,"<6>_{min}"); + fDistributionsFlags->GetXaxis()->SetBinLabel(7,"<6>_{max}"); + fDistributionsFlags->GetXaxis()->SetBinLabel(8,"<8>_{min}"); + fDistributionsFlags->GetXaxis()->SetBinLabel(9,"<8>_{max}"); + fDistributionsList->Add(fDistributionsFlags); + + // b) Book all histograms to hold distributions of correlations. + if(fStoreDistributions) + { + TString distributionsName = "fDistributions"; + distributionsName += fAnalysisLabel->Data(); + for(Int_t di=0;di<4;di++) // distribution index + { + fDistributions[di] = new TH1D(Form("Distribution of %s",correlationIndex[di].Data()),Form("Distribution of %s",correlationIndex[di].Data()),10000,fMinValueOfCorrelation[di],fMaxValueOfCorrelation[di]); + fDistributions[di]->SetXTitle(correlationIndex[di].Data()); + fDistributionsList->Add(fDistributions[di]); + } // end of for(Int_t di=0;di<4;di++) // distribution index + } // end of if(fStoreDistributions) + +} // end of void AliFlowAnalysisWithQCumulants::BookEverythingForDistributions() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::StoreFlagsForDistributions() +{ + // Store all flags for distributiuons of correlations in profile fDistributionsFlags. + + if(!fDistributionsFlags) + { + cout<<"WARNING: fDistributionsFlags is NULL in AFAWQC::SDF() !!!!"<Fill(0.5,(Int_t)fStoreDistributions); // histos with distributions of correlations stored or not in the output file + // store min and max values of correlations: + for(Int_t di=0;di<4;di++) // distribution index + { + fDistributionsFlags->Fill(1.5+2.*(Double_t)di,fMinValueOfCorrelation[di]); + fDistributionsFlags->Fill(2.5+2.*(Double_t)di,fMaxValueOfCorrelation[di]); + } + +} // end of void AliFlowAnalysisWithQCumulants::StoreFlagsForDistributions() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::StoreDistributionsOfCorrelations() +{ + // Store distributions of correlations. + + if(!(fIntFlowCorrelationsEBE && fIntFlowEventWeightsForCorrelationsEBE)) + { + cout<<"WARNING: fIntFlowCorrelationsEBE && fIntFlowEventWeightsForCorrelationsEBE"<SetOwner(kTRUE); + fHistList->Add(fIntFlowList); + // list holding profiles: + fIntFlowProfiles = new TList(); + fIntFlowProfiles->SetName("Profiles"); + fIntFlowProfiles->SetOwner(kTRUE); + fIntFlowList->Add(fIntFlowProfiles); + // list holding histograms with results: + fIntFlowResults = new TList(); + fIntFlowResults->SetName("Results"); + fIntFlowResults->SetOwner(kTRUE); + fIntFlowList->Add(fIntFlowResults); + + // b) Book and nest lists for differential flow; + fDiffFlowList = new TList(); + fDiffFlowList->SetName("Differential Flow"); + fDiffFlowList->SetOwner(kTRUE); + fHistList->Add(fDiffFlowList); + // list holding profiles: + fDiffFlowProfiles = new TList(); + fDiffFlowProfiles->SetName("Profiles"); + fDiffFlowProfiles->SetOwner(kTRUE); + fDiffFlowList->Add(fDiffFlowProfiles); + // list holding histograms with results: + fDiffFlowResults = new TList(); + fDiffFlowResults->SetName("Results"); + fDiffFlowResults->SetOwner(kTRUE); + fDiffFlowList->Add(fDiffFlowResults); + // flags used for naming nested lists in list fDiffFlowProfiles and fDiffFlowResults: + TList list; + list.SetOwner(kTRUE); + TString typeFlag[2] = {"RP","POI"}; + TString ptEtaFlag[2] = {"p_{T}","#eta"}; + TString powerFlag[2] = {"linear","quadratic"}; + // nested lists in fDiffFlowProfiles (~/Differential Flow/Profiles): + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + // list holding profiles with correlations: + fDiffFlowCorrelationsProList[t][pe] = (TList*)list.Clone(); + fDiffFlowCorrelationsProList[t][pe]->SetName(Form("Profiles with correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowProfiles->Add(fDiffFlowCorrelationsProList[t][pe]); + // list holding profiles with products of correlations: + fDiffFlowProductOfCorrelationsProList[t][pe] = (TList*)list.Clone(); + fDiffFlowProductOfCorrelationsProList[t][pe]->SetName(Form("Profiles with products of correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowProfiles->Add(fDiffFlowProductOfCorrelationsProList[t][pe]); + // list holding profiles with corrections: + fDiffFlowCorrectionsProList[t][pe] = (TList*)list.Clone(); + fDiffFlowCorrectionsProList[t][pe]->SetName(Form("Profiles with correction terms for NUA (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowProfiles->Add(fDiffFlowCorrectionsProList[t][pe]); + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + // nested lists in fDiffFlowResults (~/Differential Flow/Results): + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + // list holding histograms with correlations: + fDiffFlowCorrelationsHistList[t][pe] = (TList*)list.Clone(); + fDiffFlowCorrelationsHistList[t][pe]->SetName(Form("Correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowResults->Add(fDiffFlowCorrelationsHistList[t][pe]); + // list holding histograms with corrections: + fDiffFlowCorrectionsHistList[t][pe] = (TList*)list.Clone(); + fDiffFlowCorrectionsHistList[t][pe]->SetName(Form("Histograms with correction terms for NUA (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowResults->Add(fDiffFlowCorrectionsHistList[t][pe]); + for(Int_t power=0;power<2;power++) + { + // list holding histograms with sums of event weights: + fDiffFlowSumOfEventWeightsHistList[t][pe][power] = (TList*)list.Clone(); + fDiffFlowSumOfEventWeightsHistList[t][pe][power]->SetName(Form("Sum of %s event weights (%s, %s)",powerFlag[power].Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowResults->Add(fDiffFlowSumOfEventWeightsHistList[t][pe][power]); + } // end of for(Int_t power=0;power<2;power++) + // list holding histograms with sums of products of event weights: + fDiffFlowSumOfProductOfEventWeightsHistList[t][pe] = (TList*)list.Clone(); + fDiffFlowSumOfProductOfEventWeightsHistList[t][pe]->SetName(Form("Sum of products of event weights (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowResults->Add(fDiffFlowSumOfProductOfEventWeightsHistList[t][pe]); + // list holding histograms with covariances of correlations: + fDiffFlowCovariancesHistList[t][pe] = (TList*)list.Clone(); + fDiffFlowCovariancesHistList[t][pe]->SetName(Form("Covariances of correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowResults->Add(fDiffFlowCovariancesHistList[t][pe]); + // list holding histograms with differential Q-cumulants: + fDiffFlowCumulantsHistList[t][pe] = (TList*)list.Clone(); + fDiffFlowCumulantsHistList[t][pe]->SetName(Form("Differential Q-cumulants (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowResults->Add(fDiffFlowCumulantsHistList[t][pe]); + // list holding histograms with differential flow estimates from Q-cumulants: + fDiffFlowHistList[t][pe] = (TList*)list.Clone(); + fDiffFlowHistList[t][pe]->SetName(Form("Differential flow (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data())); + fDiffFlowResults->Add(fDiffFlowHistList[t][pe]); + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + + // c) Book and nest list for particle weights: + fWeightsList->SetName("Weights"); + fWeightsList->SetOwner(kTRUE); + fHistList->Add(fWeightsList); + + // d) Book and nest list for distributions: + fDistributionsList = new TList(); + fDistributionsList->SetName("Distributions"); + fDistributionsList->SetOwner(kTRUE); + fHistList->Add(fDistributionsList); + + // e) Book and nest list for nested loops: + fNestedLoopsList = new TList(); + fNestedLoopsList->SetName("Nested Loops"); + fNestedLoopsList->SetOwner(kTRUE); + fHistList->Add(fNestedLoopsList); + +} // end of void AliFlowAnalysisWithQCumulants::BookAndNestAllLists() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::FillCommonHistResultsDiffFlow(TString type) +{ + // fill common result histograms for differential flow + + Int_t typeFlag = -1; + //Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + //Int_t pe = ptEtaFlag; + + // to be improved (implement protection here) + + if(!(fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th)) + { + cout<<"WARNING: fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th"<GetBinContent(p); + Double_t v4 = fDiffFlow[t][0][1]->GetBinContent(p); + Double_t v6 = fDiffFlow[t][0][2]->GetBinContent(p); + Double_t v8 = fDiffFlow[t][0][3]->GetBinContent(p); + + Double_t v2Error = fDiffFlow[t][0][0]->GetBinError(p); + Double_t v4Error = fDiffFlow[t][0][1]->GetBinError(p); + //Double_t v6Error = fFinalFlow1D[t][pW][nua][0][2]->GetBinError(p); + //Double_t v8Error = fFinalFlow1D[t][pW][nua][0][3]->GetBinError(p); + + if(type == "RP") + { + fCommonHistsResults2nd->FillDifferentialFlowPtRP(p,v2,v2Error); + fCommonHistsResults4th->FillDifferentialFlowPtRP(p,v4,v4Error); + fCommonHistsResults6th->FillDifferentialFlowPtRP(p,v6,0.); + fCommonHistsResults8th->FillDifferentialFlowPtRP(p,v8,0.); + } else if(type == "POI") + { + fCommonHistsResults2nd->FillDifferentialFlowPtPOI(p,v2,v2Error); + fCommonHistsResults4th->FillDifferentialFlowPtPOI(p,v4,v4Error); + fCommonHistsResults6th->FillDifferentialFlowPtPOI(p,v6,0.); + fCommonHistsResults8th->FillDifferentialFlowPtPOI(p,v8,0.); + } + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + + // eta: + for(Int_t e=1;e<=fnBinsEta;e++) + { + Double_t v2 = fDiffFlow[t][1][0]->GetBinContent(e); + Double_t v4 = fDiffFlow[t][1][1]->GetBinContent(e); + Double_t v6 = fDiffFlow[t][1][2]->GetBinContent(e); + Double_t v8 = fDiffFlow[t][1][3]->GetBinContent(e); + + Double_t v2Error = fDiffFlow[t][1][0]->GetBinError(e); + Double_t v4Error = fDiffFlow[t][1][1]->GetBinError(e); + //Double_t v6Error = fDiffFlow[t][1][2]->GetBinError(e); + //Double_t v8Error = fDiffFlow[t][1][3]->GetBinError(e); + + if(type == "RP") + { + fCommonHistsResults2nd->FillDifferentialFlowEtaRP(e,v2,v2Error); + fCommonHistsResults4th->FillDifferentialFlowEtaRP(e,v4,v4Error); + fCommonHistsResults6th->FillDifferentialFlowEtaRP(e,v6,0.); + fCommonHistsResults8th->FillDifferentialFlowEtaRP(e,v8,0.); + } else if(type == "POI") + { + fCommonHistsResults2nd->FillDifferentialFlowEtaPOI(e,v2,v2Error); + fCommonHistsResults4th->FillDifferentialFlowEtaPOI(e,v4,v4Error); + fCommonHistsResults6th->FillDifferentialFlowEtaPOI(e,v6,0.); + fCommonHistsResults8th->FillDifferentialFlowEtaPOI(e,v8,0.); + } + } // end of for(Int_t e=1;e<=fnBinsEta;e++) + +} // end of void AliFlowAnalysisWithQCumulants::FillCommonHistResultsDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights, Bool_t correctedForNUA) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::AccessConstants() +{ + // Access needed common constants from AliFlowCommonConstants + + fnBinsPhi = AliFlowCommonConstants::GetMaster()->GetNbinsPhi(); + fPhiMin = AliFlowCommonConstants::GetMaster()->GetPhiMin(); + fPhiMax = AliFlowCommonConstants::GetMaster()->GetPhiMax(); + if(fnBinsPhi) fPhiBinWidth = (fPhiMax-fPhiMin)/fnBinsPhi; + fnBinsPt = AliFlowCommonConstants::GetMaster()->GetNbinsPt(); + fPtMin = AliFlowCommonConstants::GetMaster()->GetPtMin(); + fPtMax = AliFlowCommonConstants::GetMaster()->GetPtMax(); + if(fnBinsPt) fPtBinWidth = (fPtMax-fPtMin)/fnBinsPt; + fnBinsEta = AliFlowCommonConstants::GetMaster()->GetNbinsEta(); + fEtaMin = AliFlowCommonConstants::GetMaster()->GetEtaMin(); + fEtaMax = AliFlowCommonConstants::GetMaster()->GetEtaMax(); + if(fnBinsEta) fEtaBinWidth = (fEtaMax-fEtaMin)/fnBinsEta; + +} // end of void AliFlowAnalysisWithQCumulants::AccessConstants() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CrossCheckSettings() +{ + // a) Cross check if the choice for multiplicity weights make sense; + + // a) Cross check if the choice for multiplicity weights make sense: + if(strcmp(fMultiplicityWeight->Data(),"combinations") && + strcmp(fMultiplicityWeight->Data(),"unit") && + strcmp(fMultiplicityWeight->Data(),"multiplicity")) + { + cout<<"WARNING (QC): Multiplicity weight can be either \"combinations\", \"unit\""<Data()<<"\"."<Fill(ci+0.5,pow(fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci+1),p+1)); + fIntFlowSumOfEventWeightsVsM[ci][p]->Fill(dMult+0.5,pow(fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci+1),p+1)); + } + } + +} // end of void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfEventWeights() + +//================================================================================================================================ + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfEventWeightsNUA() +{ + // Calculate sum of linear and quadratic event weights for NUA terms. + + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + for(Int_t p=0;p<2;p++) // power-1 + { + for(Int_t ci=0;ci<3;ci++) // nua term index + { + fIntFlowSumOfEventWeightsNUA[sc][p]->Fill(ci+0.5,pow(fIntFlowEventWeightForCorrectionTermsForNUAEBE[sc]->GetBinContent(ci+1),p+1)); + } + } + } + +} // end of void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfEventWeightsNUA() + +//================================================================================================================================ + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfProductOfEventWeights() +{ + // Calculate sum of product of event weights for correlations. + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + Int_t counter = 0; + + for(Int_t ci1=1;ci1<4;ci1++) + { + for(Int_t ci2=ci1+1;ci2<=4;ci2++) + { + fIntFlowSumOfProductOfEventWeights->Fill(0.5+counter, + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci1)* + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci2)); + fIntFlowSumOfProductOfEventWeightsVsM[counter]->Fill(dMult+0.5, + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci1)* + fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(ci2)); + counter++; + } + } + +} // end of void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfProductOfEventWeights() + +//================================================================================================================================ + +void AliFlowAnalysisWithQCumulants::CalculateIntFlowSumOfProductOfEventWeightsNUA() +{ + // Calculate sum of product of event weights for NUA terms. + + // w_{<2>} * w_{}: + fIntFlowSumOfProductOfEventWeightsNUA->Fill(0.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)); + // w_{<2>} * w_{}: + fIntFlowSumOfProductOfEventWeightsNUA->Fill(1.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)); + // w_{ * w_{}: + fIntFlowSumOfProductOfEventWeightsNUA->Fill(2.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)); + // w_{<2>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(3.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // w_{<2>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(4.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // w_{<2>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(5.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // w_{<2>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(6.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // w_{<4>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(7.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)); + // w_{<4>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(8.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)); + // w_{<4>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(9.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // w_{<4>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(10.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // w_{<4>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(11.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // w_{<4>} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(12.5,fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(13.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(14.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(15.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(16.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(17.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(18.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(19.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(20.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(1)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(21.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(22.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(23.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(24.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(25.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(2)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + // w_{} * w{} + fIntFlowSumOfProductOfEventWeightsNUA->Fill(26.5,fIntFlowEventWeightForCorrectionTermsForNUAEBE[1]->GetBinContent(3)* + fIntFlowEventWeightForCorrectionTermsForNUAEBE[0]->GetBinContent(3)); + +} // end of void AliFlowAnalysisWithQCumulants::CalculateIntFlowIntFlowSumOfProductOfEventWeightsNUA() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrelations(TString type, TString ptOrEta) +{ + // calculate reduced correlations for RPs or POIs in pt or eta bins + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n = (*fReQ)(0,0); + Double_t dReQ2n = (*fReQ)(1,0); + //Double_t dReQ3n = (*fReQ)(2,0); + //Double_t dReQ4n = (*fReQ)(3,0); + Double_t dImQ1n = (*fImQ)(0,0); + Double_t dImQ2n = (*fImQ)(1,0); + //Double_t dImQ3n = (*fImQ)(2,0); + //Double_t dImQ4n = (*fImQ)(3,0); + + // reduced correlations are stored in fDiffFlowCorrelationsPro[0=RP,1=POI][0=pt,1=eta][correlation index]. Correlation index runs as follows: + // + // 0: <<2'>> + // 1: <<4'>> + // 2: <<6'>> + // 3: <<8'>> + + Int_t t = -1; // type flag + Int_t pe = -1; // ptEta flag + + if(type == "RP") + { + t = 0; + } else if(type == "POI") + { + t = 1; + } + + if(ptOrEta == "Pt") + { + pe = 0; + } else if(ptOrEta == "Eta") + { + pe = 1; + } + + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // looping over all bins and calculating reduced correlations: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular pt or eta bin): + Double_t p1n0kRe = 0.; + Double_t p1n0kIm = 0.; + + // number of POIs in particular pt or eta bin: + Double_t mp = 0.; + + // real and imaginary parts of q_{m*n,0} (non-weighted Q-vector evaluated for particles which are both RPs and POIs in particular pt or eta bin): + Double_t q1n0kRe = 0.; + Double_t q1n0kIm = 0.; + Double_t q2n0kRe = 0.; + Double_t q2n0kIm = 0.; + + // number of particles which are both RPs and POIs in particular pt or eta bin: + Double_t mq = 0.; + + if(type == "POI") + { + // q_{m*n,0}: + q1n0kRe = fReRPQ1dEBE[2][pe][0][0]->GetBinContent(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); + q1n0kIm = fImRPQ1dEBE[2][pe][0][0]->GetBinContent(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[2][pe][0][0]->GetBinEntries(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)); + q2n0kRe = fReRPQ1dEBE[2][pe][1][0]->GetBinContent(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)) + * fReRPQ1dEBE[2][pe][1][0]->GetBinEntries(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)); + q2n0kIm = fImRPQ1dEBE[2][pe][1][0]->GetBinContent(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)) + * fImRPQ1dEBE[2][pe][1][0]->GetBinEntries(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)); + + mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + } + else if(type == "RP") + { + // q_{m*n,0}: + q1n0kRe = fReRPQ1dEBE[0][pe][0][0]->GetBinContent(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); + q1n0kIm = fImRPQ1dEBE[0][pe][0][0]->GetBinContent(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][0]->GetBinEntries(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)); + q2n0kRe = fReRPQ1dEBE[0][pe][1][0]->GetBinContent(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][1][0]->GetBinEntries(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)); + q2n0kIm = fImRPQ1dEBE[0][pe][1][0]->GetBinContent(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][1][0]->GetBinEntries(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)); + + mq = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + } + + if(type == "POI") + { + // p_{m*n,0}: + p1n0kRe = fReRPQ1dEBE[1][pe][0][0]->GetBinContent(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[1][pe][0][0]->GetBinContent(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[1][pe][0][0]->GetBinEntries(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)); + + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + + t = 1; // typeFlag = RP or POI + } + else if(type == "RP") + { + // p_{m*n,0} = q_{m*n,0}: + p1n0kRe = q1n0kRe; + p1n0kIm = q1n0kIm; + + mp = mq; + + t = 0; // typeFlag = RP or POI + } + + // 2'-particle correlation for particular (pt,eta) bin: + Double_t two1n1nPtEta = 0.; + if(mp*dMult-mq) + { + two1n1nPtEta = (p1n0kRe*dReQ1n+p1n0kIm*dImQ1n-mq) + / (mp*dMult-mq); + + if(type == "POI") // to be improved (I do not this if) + { + // fill profile to get <<2'>> for POIs + fDiffFlowCorrelationsPro[1][pe][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],two1n1nPtEta,mp*dMult-mq); + // histogram to store <2'> for POIs e-b-e (needed in some other methods): + fDiffFlowCorrelationsEBE[1][pe][0]->SetBinContent(b,two1n1nPtEta); + fDiffFlowEventWeightsForCorrelationsEBE[1][pe][0]->SetBinContent(b,mp*dMult-mq); + } + else if(type == "RP") // to be improved (I do not this if) + { + // profile to get <<2'>> for RPs: + fDiffFlowCorrelationsPro[0][pe][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],two1n1nPtEta,mp*dMult-mq); + // histogram to store <2'> for RPs e-b-e (needed in some other methods): + fDiffFlowCorrelationsEBE[0][pe][0]->SetBinContent(b,two1n1nPtEta); + fDiffFlowEventWeightsForCorrelationsEBE[0][pe][0]->SetBinContent(b,mp*dMult-mq); + } + } // end of if(mp*dMult-mq) + + // 4'-particle correlation: + Double_t four1n1n1n1nPtEta = 0.; + if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) // to be improved (introduce a new variable for this expression) + { + four1n1n1n1nPtEta = ((pow(dReQ1n,2.)+pow(dImQ1n,2.))*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) + - q2n0kRe*(pow(dReQ1n,2.)-pow(dImQ1n,2.)) + - 2.*q2n0kIm*dReQ1n*dImQ1n + - p1n0kRe*(dReQ1n*dReQ2n+dImQ1n*dImQ2n) + + p1n0kIm*(dImQ1n*dReQ2n-dReQ1n*dImQ2n) + - 2.*dMult*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) + - 2.*(pow(dReQ1n,2.)+pow(dImQ1n,2.))*mq + + 6.*(q1n0kRe*dReQ1n+q1n0kIm*dImQ1n) + + 1.*(q2n0kRe*dReQ2n+q2n0kIm*dImQ2n) + + 2.*(p1n0kRe*dReQ1n+p1n0kIm*dImQ1n) + + 2.*mq*dMult + - 6.*mq) + / ((mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + + if(type == "POI") + { + // profile to get <<4'>> for POIs: + fDiffFlowCorrelationsPro[1][pe][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],four1n1n1n1nPtEta, + (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + // histogram to store <4'> for POIs e-b-e (needed in some other methods): + fDiffFlowCorrelationsEBE[1][pe][1]->SetBinContent(b,four1n1n1n1nPtEta); + fDiffFlowEventWeightsForCorrelationsEBE[1][pe][1]->SetBinContent(b,(mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + } + else if(type == "RP") + { + // profile to get <<4'>> for RPs: + fDiffFlowCorrelationsPro[0][pe][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],four1n1n1n1nPtEta, + (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + // histogram to store <4'> for RPs e-b-e (needed in some other methods): + fDiffFlowCorrelationsEBE[0][pe][1]->SetBinContent(b,four1n1n1n1nPtEta); + fDiffFlowEventWeightsForCorrelationsEBE[0][pe][1]->SetBinContent(b,(mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.)); + } + } // end of if((mp-mq)*dMult*(dMult-1.)*(dMult-2.) + // +mq*(dMult-1.)*(dMult-2.)*(dMult-3.)) + + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrelations(TString type, TString ptOrEta); + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfEventWeights(TString type, TString ptOrEta) +{ + // Calculate sums of various event weights for reduced correlations. + // (These quantitites are needed in expressions for unbiased estimators relevant for the statistical errors.) + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + // binning: + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + for(Int_t rpq=0;rpq<3;rpq++) + { + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + if(!fReRPQ1dEBE[rpq][pe][m][k]) + { + cout<<"WARNING: fReRPQ1dEBE[rpq][pe][m][k] is NULL in AFAWQC::CSAPOEWFDF() !!!!"<GetBinEntries(b); + mp = mq; // trick to use the very same Eqs. bellow both for RP's and POI's diff. flow + } else if(type == "POI") + { + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(b); + mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(b); + } + + // event weight for <2'>: + dw2 = mp*dMult-mq; + fDiffFlowSumOfEventWeights[t][pe][0][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2); + fDiffFlowSumOfEventWeights[t][pe][1][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw2,2.)); + + // event weight for <4'>: + dw4 = (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.); + fDiffFlowSumOfEventWeights[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4); + fDiffFlowSumOfEventWeights[t][pe][1][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw4,2.)); + + // event weight for <6'>: + //dw6 = ...; + //fDiffFlowSumOfEventWeights[t][pe][0][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6); + //fDiffFlowSumOfEventWeights[t][pe][t][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw6,2.)); + + // event weight for <8'>: + //dw8 = ...; + //fDiffFlowSumOfEventWeights[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw8); + //fDiffFlowSumOfEventWeights[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],pow(dw8,2.)); + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfEventWeights() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfProductOfEventWeights(TString type, TString ptOrEta) +{ + // Calculate sum of products of various event weights for both types of correlations (the ones for int. and diff. flow). + // (These quantitites are needed in expressions for unbiased estimators relevant for the statistical errors.) + // + // Important: To fill fDiffFlowSumOfProductOfEventWeights[][][][] use bellow table (i,j) with following constraints: + // 1.) i,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] x [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + // binning: + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // protection: + for(Int_t rpq=0;rpq<3;rpq++) + { + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + if(!fReRPQ1dEBE[rpq][pe][m][k]) + { + cout<<"WARNING: fReRPQ1dEBE[rpq][pe][m][k] is NULL in AFAWQC::CSAPOEWFDF() !!!!"<GetBinEntries(b); + mp = mq; // trick to use the very same Eqs. bellow both for RP's and POI's diff. flow + } else if(type == "POI") + { + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(b); + mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(b); + } + + // event weight for <2'>: + dw2 = mp*dMult-mq; + fDiffFlowSumOfProductOfEventWeights[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw2); // storing product of even weights for <2> and <2'> + fDiffFlowSumOfProductOfEventWeights[t][pe][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dW4); // storing product of even weights for <4> and <2'> + fDiffFlowSumOfProductOfEventWeights[t][pe][1][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dW6); // storing product of even weights for <6> and <2'> + fDiffFlowSumOfProductOfEventWeights[t][pe][1][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dW8); // storing product of even weights for <8> and <2'> + + // event weight for <4'>: + dw4 = (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.); + fDiffFlowSumOfProductOfEventWeights[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw4); // storing product of even weights for <2> and <4'> + fDiffFlowSumOfProductOfEventWeights[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dw4); // storing product of even weights for <2'> and <4'> + fDiffFlowSumOfProductOfEventWeights[t][pe][2][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW4*dw4); // storing product of even weights for <4> and <4'> + fDiffFlowSumOfProductOfEventWeights[t][pe][3][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dW6); // storing product of even weights for <6> and <4'> + fDiffFlowSumOfProductOfEventWeights[t][pe][3][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dW8); // storing product of even weights for <8> and <4'> + + // event weight for <6'>: + //dw6 = ...; + //fDiffFlowSumOfProductOfEventWeights[t][pe][0][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw6); // storing product of even weights for <2> and <6'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][1][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dw6); // storing product of even weights for <2'> and <6'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][2][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW4*dw6); // storing product of even weights for <4> and <6'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][3][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dw6); // storing product of even weights for <4'> and <6'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][4][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW6*dw6); // storing product of even weights for <6> and <6'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][5][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6*dW8); // storing product of even weights for <6'> and <8> + //fDiffFlowSumOfProductOfEventWeights[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6*dw8); // storing product of even weights for <6'> and <8'> + + // event weight for <8'>: + //dw8 = ...; + //fDiffFlowSumOfProductOfEventWeights[t][pe][0][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW2*dw8); // storing product of even weights for <2> and <8'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][1][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw2*dw8); // storing product of even weights for <2'> and <8'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][2][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW4*dw8); // storing product of even weights for <4> and <8'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][3][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw4*dw8); // storing product of even weights for <4'> and <8'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][4][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW6*dw8); // storing product of even weights for <6> and <8'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dw6*dw8); // storing product of even weights for <6'> and <8'> + //fDiffFlowSumOfProductOfEventWeights[t][pe][6][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],dW8*dw8); // storing product of even weights for <8> and <8'> + + // Table: + // [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] x [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] + + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + + + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowSumOfProductOfEventWeights(TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::FinalizeReducedCorrelations(TString type, TString ptOrEta) +{ + // Transfer profiles into histograms and calculate statistical errors correctly. + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + for(Int_t rci=0;rci<4;rci++) + { + if(!fDiffFlowCorrelationsPro[t][pe][rci]) + { + cout<<"WARNING: fDiffFlowCorrelationsPro[t][pe][rci] is NULL in AFAWQC::FRC() !!!!"<GetBinContent(1); // <2> + Double_t fourEBE = fIntFlowCorrelationsEBE->GetBinContent(2); // <4> + Double_t sixEBE = fIntFlowCorrelationsEBE->GetBinContent(3); // <6> + Double_t eightEBE = fIntFlowCorrelationsEBE->GetBinContent(4); // <8> + + // event weights for correlations: + Double_t dW2 = fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(1); // event weight for <2> + Double_t dW4 = fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(2); // event weight for <4> + Double_t dW6 = fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(3); // event weight for <6> + Double_t dW8 = fIntFlowEventWeightsForCorrelationsEBE->GetBinContent(4); // event weight for <8> + + // e-b-e reduced correlations: + Double_t twoReducedEBE = 0.; // <2'> + Double_t fourReducedEBE = 0.; // <4'> + Double_t sixReducedEBE = 0.; // <6'> + Double_t eightReducedEBE = 0.; // <8'> + + // event weights for reduced correlations: + Double_t dw2 = 0.; // event weight for <2'> + Double_t dw4 = 0.; // event weight for <4'> + //Double_t dw6 = 0.; // event weight for <6'> + //Double_t dw8 = 0.; // event weight for <8'> + + // looping over bins: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // e-b-e reduced correlations: + twoReducedEBE = fDiffFlowCorrelationsEBE[t][pe][0]->GetBinContent(b); + fourReducedEBE = fDiffFlowCorrelationsEBE[t][pe][1]->GetBinContent(b); + sixReducedEBE = fDiffFlowCorrelationsEBE[t][pe][2]->GetBinContent(b); + eightReducedEBE = fDiffFlowCorrelationsEBE[t][pe][3]->GetBinContent(b); + + /* + // to be improved (I should not do this here again) + if(type == "RP") + { + mq = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(b); + mp = mq; // trick to use the very same Eqs. bellow both for RP's and POI's diff. flow + } else if(type == "POI") + { + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(b); + mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(b); + } + + // event weights for reduced correlations: + dw2 = mp*dMult-mq; // weight for <2'> + dw4 = (mp-mq)*dMult*(dMult-1.)*(dMult-2.) + + mq*(dMult-1.)*(dMult-2.)*(dMult-3.); // weight for <4'> + //dw6 = ... + //dw8 = ... + + */ + + dw2 = fDiffFlowEventWeightsForCorrelationsEBE[t][pe][0]->GetBinContent(b); + dw4 = fDiffFlowEventWeightsForCorrelationsEBE[t][pe][1]->GetBinContent(b); + + // storing all products: + fDiffFlowProductOfCorrelationsPro[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*twoReducedEBE,dW2*dw2); // storing <2><2'> + fDiffFlowProductOfCorrelationsPro[t][pe][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*twoReducedEBE,dW4*dw2); // storing <4><2'> + fDiffFlowProductOfCorrelationsPro[t][pe][1][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*twoReducedEBE,dW6*dw2); // storing <6><2'> + fDiffFlowProductOfCorrelationsPro[t][pe][1][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],eightEBE*twoReducedEBE,dW8*dw2); // storing <8><2'> + + // event weight for <4'>: + fDiffFlowProductOfCorrelationsPro[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*fourReducedEBE,dW2*dw4); // storing <2><4'> + fDiffFlowProductOfCorrelationsPro[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoReducedEBE*fourReducedEBE,dw2*dw4); // storing <2'><4'> + fDiffFlowProductOfCorrelationsPro[t][pe][2][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*fourReducedEBE,dW4*dw4); // storing <4><4'> + fDiffFlowProductOfCorrelationsPro[t][pe][3][4]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*fourReducedEBE,dW6*dw4); // storing <6><4'> + fDiffFlowProductOfCorrelationsPro[t][pe][3][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],eightEBE*fourReducedEBE,dW8*dw4); // storing <8><4'> + + // event weight for <6'>: + //dw6 = ...; + //fDiffFlowProductOfCorrelationsPro[t][pe][0][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*sixReducedEBE,dW2*dw6); // storing <2><6'> + //fDiffFlowProductOfCorrelationsPro[t][pe][1][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoReducedEBE*sixReducedEBE,dw2*dw6); // storing <2'><6'> + //fDiffFlowProductOfCorrelationsPro[t][pe][2][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*sixReducedEBE,dW4*dw6); // storing <4><6'> + //fDiffFlowProductOfCorrelationsPro[t][pe][3][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourReducedEBE*sixReducedEBE,dw4*dw6); // storing <4'><6'> + //fDiffFlowProductOfCorrelationsPro[t][pe][4][5]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*sixReducedEBE,dW6*dw6); // storing <6><6'> + //fDiffFlowProductOfCorrelationsPro[t][pe][5][6]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixReducedEBE*eightEBE,dw6*dW8); // storing <6'><8> + //fDiffFlowProductOfCorrelationsPro[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixReducedEBE*eightReducedEBE,dw6*dw8); // storing <6'><8'> + + // event weight for <8'>: + //dw8 = ...; + //fDiffFlowProductOfCorrelationsPro[t][pe][0][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoEBE*eightReducedEBE,dW2*dw8); // storing <2><8'> + //fDiffFlowProductOfCorrelationsPro[t][pe][1][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],twoReducedEBE*eightReducedEBE,dw2*dw8); // storing <2'><8'> + //fDiffFlowProductOfCorrelationsPro[t][pe][2][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourEBE*eightReducedEBE,dW4*dw8); // storing <4><8'> + //fDiffFlowProductOfCorrelationsPro[t][pe][3][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],fourReducedEBE*eightReducedEBE,dw4*dw8); // storing <4'><8'> + //fDiffFlowProductOfCorrelationsPro[t][pe][4][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixEBE*eightReducedEBE,dW6*dw8); // storing <6><8'> + //fDiffFlowProductOfCorrelationsPro[t][pe][5][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sixReducedEBE*eightReducedEBE,dw6*dw8); // storing <6'><8'> + //fDiffFlowProductOfCorrelationsPro[t][pe][6][7]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],eightEBE*eightReducedEBE,dW8*dw8); // storing <8><8'> + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++ + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowProductOfCorrelations(TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCovariances(TString type, TString ptOrEta) // to be improved (reimplemented) +{ + // a) Calculate unbiased estimators Cov(<2>,<2'>), Cov(<2>,<4'>), Cov(<4>,<2'>), Cov(<4>,<4'>) and Cov(<2'>,<4'>) + // for covariances V(<2>,<2'>), V(<2>,<4'>), V(<4>,<2'>), V(<4>,<4'>) and V(<2'>,<4'>). + // b) Store in histogram fDiffFlowCovariances[t][pe][index] for instance the following: + // + // Cov(<2>,<2'>) * (sum_{i=1}^{N} w_{<2>}_i w_{<2'>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<2'>}_j)] + // + // where N is the number of events, w_{<2>} is event weight for <2> and w_{<2'>} is event weight for <2'>. + // c) Binning of fDiffFlowCovariances[t][pe][index] is organized as follows: + // + // 1st bin: Cov(<2>,<2'>) * (sum_{i=1}^{N} w_{<2>}_i w_{<2'>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<2'>}_j)] + // 2nd bin: Cov(<2>,<4'>) * (sum_{i=1}^{N} w_{<2>}_i w_{<4'>}_i )/[(sum_{i=1}^{N} w_{<2>}_i) * (sum_{j=1}^{N} w_{<4'>}_j)] + // 3rd bin: Cov(<4>,<2'>) * (sum_{i=1}^{N} w_{<4>}_i w_{<2'>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<2'>}_j)] + // 4th bin: Cov(<4>,<4'>) * (sum_{i=1}^{N} w_{<4>}_i w_{<4'>}_i )/[(sum_{i=1}^{N} w_{<4>}_i) * (sum_{j=1}^{N} w_{<4'>}_j)] + // 5th bin: Cov(<2'>,<4'>) * (sum_{i=1}^{N} w_{<2'>}_i w_{<4'>}_i )/[(sum_{i=1}^{N} w_{<2'>}_i) * (sum_{j=1}^{N} w_{<4'>}_j)] + // ... + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + // common: + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + //Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + //Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // average correlations: + Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); // <<2>> + Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> + //Double_t six = fIntFlowCorrelationsHist->GetBinContent(3); // <<6>> + //Double_t eight = fIntFlowCorrelationsHist->GetBinContent(4); // <<8>> + + // sum of weights for correlation: + Double_t sumOfWeightsForTwo = fIntFlowSumOfEventWeights[0]->GetBinContent(1); // sum_{i=1}^{N} w_{<2>} + Double_t sumOfWeightsForFour = fIntFlowSumOfEventWeights[0]->GetBinContent(2); // sum_{i=1}^{N} w_{<4>} + //Double_t sumOfWeightsForSix = fIntFlowSumOfEventWeights[0]->GetBinContent(3); // sum_{i=1}^{N} w_{<6>} + //Double_t sumOfWeightsForEight = fIntFlowSumOfEventWeights[0]->GetBinContent(4); // sum_{i=1}^{N} w_{<8>} + + // average reduced correlations: + Double_t twoReduced = 0.; // <<2'>> + Double_t fourReduced = 0.; // <<4'>> + //Double_t sixReduced = 0.; // <<6'>> + //Double_t eightReduced = 0.; // <<8'>> + + // sum of weights for reduced correlation: + Double_t sumOfWeightsForTwoReduced = 0.; // sum_{i=1}^{N} w_{<2'>} + Double_t sumOfWeightsForFourReduced = 0.; // sum_{i=1}^{N} w_{<4'>} + //Double_t sumOfWeightsForSixReduced = 0.; // sum_{i=1}^{N} w_{<6'>} + //Double_t sumOfWeightsForEightReduced = 0.; // sum_{i=1}^{N} w_{<8'>} + + // product of weights for reduced correlation: + Double_t productOfWeightsForTwoTwoReduced = 0.; // sum_{i=1}^{N} w_{<2>}w_{<2'>} + Double_t productOfWeightsForTwoFourReduced = 0.; // sum_{i=1}^{N} w_{<2>}w_{<4'>} + Double_t productOfWeightsForFourTwoReduced = 0.; // sum_{i=1}^{N} w_{<4>}w_{<2'>} + Double_t productOfWeightsForFourFourReduced = 0.; // sum_{i=1}^{N} w_{<4>}w_{<4'>} + Double_t productOfWeightsForTwoReducedFourReduced = 0.; // sum_{i=1}^{N} w_{<2'>}w_{<4'>} + // ... + + // products for differential flow: + Double_t twoTwoReduced = 0; // <<2><2'>> + Double_t twoFourReduced = 0; // <<2><4'>> + Double_t fourTwoReduced = 0; // <<4><2'>> + Double_t fourFourReduced = 0; // <<4><4'>> + Double_t twoReducedFourReduced = 0; // <<2'><4'>> + + // denominators in the expressions for the unbiased estimators for covariances: + // denominator = 1 - term1/(term2*term3) + // prefactor = term1/(term2*term3) + Double_t denominator = 0.; + Double_t prefactor = 0.; + Double_t term1 = 0.; + Double_t term2 = 0.; + Double_t term3 = 0.; + + // unbiased estimators for covariances for differential flow: + Double_t covTwoTwoReduced = 0.; // Cov(<2>,<2'>) + Double_t wCovTwoTwoReduced = 0.; // Cov(<2>,<2'>) * prefactor(w_{<2>},w_{<2'>}) + Double_t covTwoFourReduced = 0.; // Cov(<2>,<4'>) + Double_t wCovTwoFourReduced = 0.; // Cov(<2>,<4'>) * prefactor(w_{<2>},w_{<4'>}) + Double_t covFourTwoReduced = 0.; // Cov(<4>,<2'>) + Double_t wCovFourTwoReduced = 0.; // Cov(<4>,<2'>) * prefactor(w_{<4>},w_{<2'>}) + Double_t covFourFourReduced = 0.; // Cov(<4>,<4'>) + Double_t wCovFourFourReduced = 0.; // Cov(<4>,<4'>) * prefactor(w_{<4>},w_{<4'>}) + Double_t covTwoReducedFourReduced = 0.; // Cov(<2'>,<4'>) + Double_t wCovTwoReducedFourReduced = 0.; // Cov(<2'>,<4'>) * prefactor(w_{<2'>},w_{<4'>}) + + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // average reduced corelations: + twoReduced = fDiffFlowCorrelationsHist[t][pe][0]->GetBinContent(b); + fourReduced = fDiffFlowCorrelationsHist[t][pe][1]->GetBinContent(b); + // average products: + twoTwoReduced = fDiffFlowProductOfCorrelationsPro[t][pe][0][1]->GetBinContent(b); + twoFourReduced = fDiffFlowProductOfCorrelationsPro[t][pe][0][3]->GetBinContent(b); + fourTwoReduced = fDiffFlowProductOfCorrelationsPro[t][pe][1][2]->GetBinContent(b); + fourFourReduced = fDiffFlowProductOfCorrelationsPro[t][pe][2][3]->GetBinContent(b); + twoReducedFourReduced = fDiffFlowProductOfCorrelationsPro[t][pe][1][3]->GetBinContent(b); + // sum of weights for reduced correlations: + sumOfWeightsForTwoReduced = fDiffFlowSumOfEventWeights[t][pe][0][0]->GetBinContent(b); + sumOfWeightsForFourReduced = fDiffFlowSumOfEventWeights[t][pe][0][1]->GetBinContent(b); + // products of weights for correlations: + productOfWeightsForTwoTwoReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][0][1]->GetBinContent(b); + productOfWeightsForTwoFourReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][0][3]->GetBinContent(b); + productOfWeightsForFourTwoReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][1][2]->GetBinContent(b); + productOfWeightsForFourFourReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][2][3]->GetBinContent(b); + productOfWeightsForTwoReducedFourReduced = fDiffFlowSumOfProductOfEventWeights[t][pe][1][3]->GetBinContent(b); + // denominator for the unbiased estimator for covariances: 1 - term1/(term2*term3) + // prefactor (multiplies Cov's) = term1/(term2*term3) + // <2>,<2'>: + term1 = productOfWeightsForTwoTwoReduced; + term2 = sumOfWeightsForTwo; + term3 = sumOfWeightsForTwoReduced; + if(term2*term3>0.) + { + denominator = 1.-term1/(term2*term3); + prefactor = term1/(term2*term3); + if(TMath::Abs(denominator)>1e-6) + { + covTwoTwoReduced = (twoTwoReduced-two*twoReduced)/denominator; + wCovTwoTwoReduced = covTwoTwoReduced*prefactor; + fDiffFlowCovariances[t][pe][0]->SetBinContent(b,wCovTwoTwoReduced); + } + } + // <2>,<4'>: + term1 = productOfWeightsForTwoFourReduced; + term2 = sumOfWeightsForTwo; + term3 = sumOfWeightsForFourReduced; + if(term2*term3>0.) + { + denominator = 1.-term1/(term2*term3); + prefactor = term1/(term2*term3); + if(TMath::Abs(denominator)>1e-6) + { + covTwoFourReduced = (twoFourReduced-two*fourReduced)/denominator; + wCovTwoFourReduced = covTwoFourReduced*prefactor; + fDiffFlowCovariances[t][pe][1]->SetBinContent(b,wCovTwoFourReduced); + } + } + // <4>,<2'>: + term1 = productOfWeightsForFourTwoReduced; + term2 = sumOfWeightsForFour; + term3 = sumOfWeightsForTwoReduced; + if(term2*term3>0.) + { + denominator = 1.-term1/(term2*term3); + prefactor = term1/(term2*term3); + if(TMath::Abs(denominator)>1e-6) + { + covFourTwoReduced = (fourTwoReduced-four*twoReduced)/denominator; + wCovFourTwoReduced = covFourTwoReduced*prefactor; + fDiffFlowCovariances[t][pe][2]->SetBinContent(b,wCovFourTwoReduced); + } + } + // <4>,<4'>: + term1 = productOfWeightsForFourFourReduced; + term2 = sumOfWeightsForFour; + term3 = sumOfWeightsForFourReduced; + if(term2*term3>0.) + { + denominator = 1.-term1/(term2*term3); + prefactor = term1/(term2*term3); + if(TMath::Abs(denominator)>1e-6) + { + covFourFourReduced = (fourFourReduced-four*fourReduced)/denominator; + wCovFourFourReduced = covFourFourReduced*prefactor; + fDiffFlowCovariances[t][pe][3]->SetBinContent(b,wCovFourFourReduced); + } + } + // <2'>,<4'>: + term1 = productOfWeightsForTwoReducedFourReduced; + term2 = sumOfWeightsForTwoReduced; + term3 = sumOfWeightsForFourReduced; + if(term2*term3>0.) + { + denominator = 1.-term1/(term2*term3); + prefactor = term1/(term2*term3); + if(TMath::Abs(denominator)>1e-6) + { + covTwoReducedFourReduced = (twoReducedFourReduced-twoReduced*fourReduced)/denominator; + wCovTwoReducedFourReduced = covTwoReducedFourReduced*prefactor; + fDiffFlowCovariances[t][pe][4]->SetBinContent(b,wCovTwoReducedFourReduced); + } + } + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCovariances(TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlow(TString type, TString ptOrEta) +{ + // calculate differential flow from differential cumulants and previously obtained integrated flow: (to be improved: description) + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + // common: + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + + // correlations: + Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); // <<2>> + Double_t four = fIntFlowCorrelationsHist->GetBinContent(2); // <<4>> + + // statistical errors of correlations: + Double_t twoError = fIntFlowCorrelationsHist->GetBinError(1); + Double_t fourError = fIntFlowCorrelationsHist->GetBinError(2); + + // reduced correlations: + Double_t twoReduced = 0.; // <<2'>> + Double_t fourReduced = 0.; // <<4'>> + + // statistical errors of reduced correlations: + Double_t twoReducedError = 0.; + Double_t fourReducedError = 0.; + + // covariances: + Double_t wCovTwoFour = fIntFlowCovariances->GetBinContent(1);// // Cov(<2>,<4>) * prefactor(<2>,<4>) + Double_t wCovTwoTwoReduced = 0.; // Cov(<2>,<2'>) * prefactor(<2>,<2'>) + Double_t wCovTwoFourReduced = 0.; // Cov(<2>,<4'>) * prefactor(<2>,<4'>) + Double_t wCovFourTwoReduced = 0.; // Cov(<4>,<2'>) * prefactor(<4>,<2'>) + Double_t wCovFourFourReduced = 0.; // Cov(<4>,<4'>) * prefactor(<4>,<4'>) + Double_t wCovTwoReducedFourReduced = 0.; // Cov(<2'>,<4'>) * prefactor(<2'>,<4'>) + + // differential flow: + Double_t v2Prime = 0.; // v'{2} + Double_t v4Prime = 0.; // v'{4} + + // statistical error of differential flow: + Double_t v2PrimeError = 0.; + Double_t v4PrimeError = 0.; + + // squared statistical error of differential flow: + Double_t v2PrimeErrorSquared = 0.; + Double_t v4PrimeErrorSquared = 0.; + + // loop over pt or eta bins: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // reduced correlations and statistical errors: + twoReduced = fDiffFlowCorrelationsHist[t][pe][0]->GetBinContent(b); + twoReducedError = fDiffFlowCorrelationsHist[t][pe][0]->GetBinError(b); + fourReduced = fDiffFlowCorrelationsHist[t][pe][1]->GetBinContent(b); + fourReducedError = fDiffFlowCorrelationsHist[t][pe][1]->GetBinError(b); + // covariances: + wCovTwoTwoReduced = fDiffFlowCovariances[t][pe][0]->GetBinContent(b); + wCovTwoFourReduced = fDiffFlowCovariances[t][pe][1]->GetBinContent(b); + wCovFourTwoReduced = fDiffFlowCovariances[t][pe][2]->GetBinContent(b); + wCovFourFourReduced = fDiffFlowCovariances[t][pe][3]->GetBinContent(b); + wCovTwoReducedFourReduced = fDiffFlowCovariances[t][pe][4]->GetBinContent(b); + // differential flow: + // v'{2}: + if(two>0.) + { + v2Prime = twoReduced/pow(two,0.5); + v2PrimeErrorSquared = (1./4.)*pow(two,-3.)* + (pow(twoReduced,2.)*pow(twoError,2.) + + 4.*pow(two,2.)*pow(twoReducedError,2.) + - 4.*two*twoReduced*wCovTwoTwoReduced); + + + if(v2PrimeErrorSquared>0.) v2PrimeError = pow(v2PrimeErrorSquared,0.5); + fDiffFlow[t][pe][0]->SetBinContent(b,v2Prime); + if(TMath::Abs(v2Prime)>1.e-44)fDiffFlow[t][pe][0]->SetBinError(b,v2PrimeError); + } + // differential flow: + // v'{4} + if(2.*pow(two,2.)-four > 0.) + { + v4Prime = (2.*two*twoReduced-fourReduced)/pow(2.*pow(two,2.)-four,3./4.); + v4PrimeErrorSquared = pow(2.*pow(two,2.)-four,-7./2.)* + (pow(2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced,2.)*pow(twoError,2.) + + (9./16.)*pow(2.*two*twoReduced-fourReduced,2.)*pow(fourError,2.) + + 4.*pow(two,2.)*pow(2.*pow(two,2.)-four,2.)*pow(twoReducedError,2.) + + pow(2.*pow(two,2.)-four,2.)*pow(fourReducedError,2.) + - (3./2.)*(2.*two*twoReduced-fourReduced) + * (2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced)*wCovTwoFour + - 4.*two*(2.*pow(two,2.)-four) + * (2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced)*wCovTwoTwoReduced + + 2.*(2.*pow(two,2.)-four) + * (2.*pow(two,2.)*twoReduced-3.*two*fourReduced+2.*four*twoReduced)*wCovTwoFourReduced + + 3.*two*(2.*pow(two,2.)-four)*(2.*two*twoReduced-fourReduced)*wCovFourTwoReduced + - (3./2.)*(2.*pow(two,2.)-four)*(2.*two*twoReduced-fourReduced)*wCovFourFourReduced + - 4.*two*pow(2.*pow(two,2.)-four,2.)*wCovTwoReducedFourReduced); + if(v4PrimeErrorSquared>0.) v4PrimeError = pow(v4PrimeErrorSquared,0.5); + fDiffFlow[t][pe][1]->SetBinContent(b,v4Prime); + if(TMath::Abs(v4Prime)>1.e-44)fDiffFlow[t][pe][1]->SetBinError(b,v4PrimeError); + } + + } // end of for(Int_t b=1;b<=fnBinsPtEta[pe];b++) + + + + + /* + // 2D: + for(Int_t nua=0;nua<2;nua++) + { + for(Int_t p=1;p<=fnBinsPt;p++) + { + for(Int_t e=1;e<=fnBinsEta;e++) + { + // differential cumulants: + Double_t qc2Prime = fFinalCumulants2D[t][pW][eW][nua][0]->GetBinContent(fFinalCumulants2D[t][pW][eW][nua][0]->GetBin(p,e)); // QC{2'} + Double_t qc4Prime = fFinalCumulants2D[t][pW][eW][nua][1]->GetBinContent(fFinalCumulants2D[t][pW][eW][nua][1]->GetBin(p,e)); // QC{4'} + // differential flow: + Double_t v2Prime = 0.; + Double_t v4Prime = 0.; + if(v2) + { + v2Prime = qc2Prime/v2; + fFinalFlow2D[t][pW][eW][nua][0]->SetBinContent(fFinalFlow2D[t][pW][eW][nua][0]->GetBin(p,e),v2Prime); + } + if(v4) + { + v4Prime = -qc4Prime/pow(v4,3.); + fFinalFlow2D[t][pW][eW][nua][1]->SetBinContent(fFinalFlow2D[t][pW][eW][nua][1]->GetBin(p,e),v4Prime); + } + } // end of for(Int_t e=1;e<=fnBinsEta;e++) + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + } // end of for(Int_t nua=0;nua<2;nua++) + */ + +} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlow(TString type, Bool_t useParticleWeights) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::StoreIntFlowFlags() +{ + // a) Store all flags for integrated flow in profile fIntFlowFlags. + + if(!fIntFlowFlags) + { + cout<<"WARNING: fIntFlowFlags is NULL in AFAWQC::SFFIF() !!!!"<Fill(0.5,(Int_t)fUsePhiWeights||fUsePtWeights||fUseEtaWeights); + // which event weights were used: + if(strcmp(fMultiplicityWeight->Data(),"combinations")) + { + fIntFlowFlags->Fill(1.5,0); // 0 = "combinations" (default) + } else if(strcmp(fMultiplicityWeight->Data(),"unit")) + { + fIntFlowFlags->Fill(1.5,1); // 1 = "unit" + } else if(strcmp(fMultiplicityWeight->Data(),"multiplicity")) + { + fIntFlowFlags->Fill(1.5,2); // 2 = "multiplicity" + } + // corrected for non-uniform acceptance or not: + fIntFlowFlags->Fill(2.5,(Int_t)fApplyCorrectionForNUA); + fIntFlowFlags->Fill(3.5,(Int_t)fPrintFinalResults[0]); + fIntFlowFlags->Fill(4.5,(Int_t)fPrintFinalResults[1]); + fIntFlowFlags->Fill(5.5,(Int_t)fPrintFinalResults[2]); + +} // end of void AliFlowAnalysisWithQCumulants::StoreIntFlowFlags() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::StoreDiffFlowFlags() +{ + // Store all flags for differential flow in the profile fDiffFlowFlags. + + if(!fDiffFlowFlags) + { + cout<<"WARNING: fDiffFlowFlags is NULL in AFAWQC::SFFDF() !!!!"<Fill(0.5,fUsePhiWeights||fUsePtWeights||fUseEtaWeights); // particle weights used or not + //fDiffFlowFlags->Fill(1.5,""); // which event weight was used? // to be improved + fDiffFlowFlags->Fill(2.5,fApplyCorrectionForNUA); // corrected for non-uniform acceptance or not + fDiffFlowFlags->Fill(3.5,fCalculate2DFlow); // calculate also 2D differential flow in (pt,eta) or not + +} // end of void AliFlowAnalysisWithQCumulants::StoreDiffFlowFlags() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::GetPointersForCommonHistograms() +{ + // Access all pointers to common control and common result histograms and profiles. + + TString commonHistsName = "AliFlowCommonHistQC"; + commonHistsName += fAnalysisLabel->Data(); + AliFlowCommonHist *commonHist = dynamic_cast(fHistList->FindObject(commonHistsName.Data())); + if(commonHist) this->SetCommonHists(commonHist); + TString commonHists2ndOrderName = "AliFlowCommonHist2ndOrderQC"; + commonHists2ndOrderName += fAnalysisLabel->Data(); + AliFlowCommonHist *commonHist2nd = dynamic_cast(fHistList->FindObject(commonHists2ndOrderName.Data())); + if(commonHist2nd) this->SetCommonHists2nd(commonHist2nd); + TString commonHists4thOrderName = "AliFlowCommonHist4thOrderQC"; + commonHists4thOrderName += fAnalysisLabel->Data(); + AliFlowCommonHist *commonHist4th = dynamic_cast(fHistList->FindObject(commonHists4thOrderName.Data())); + if(commonHist4th) this->SetCommonHists4th(commonHist4th); + TString commonHists6thOrderName = "AliFlowCommonHist6thOrderQC"; + commonHists6thOrderName += fAnalysisLabel->Data(); + AliFlowCommonHist *commonHist6th = dynamic_cast(fHistList->FindObject(commonHists6thOrderName.Data())); + if(commonHist6th) this->SetCommonHists6th(commonHist6th); + TString commonHists8thOrderName = "AliFlowCommonHist8thOrderQC"; + commonHists8thOrderName += fAnalysisLabel->Data(); + AliFlowCommonHist *commonHist8th = dynamic_cast(fHistList->FindObject(commonHists8thOrderName.Data())); + if(commonHist8th) this->SetCommonHists8th(commonHist8th); + TString commonHistResults2ndOrderName = "AliFlowCommonHistResults2ndOrderQC"; + commonHistResults2ndOrderName += fAnalysisLabel->Data(); + AliFlowCommonHistResults *commonHistRes2nd = dynamic_cast (fHistList->FindObject(commonHistResults2ndOrderName.Data())); + if(commonHistRes2nd) this->SetCommonHistsResults2nd(commonHistRes2nd); + TString commonHistResults4thOrderName = "AliFlowCommonHistResults4thOrderQC"; + commonHistResults4thOrderName += fAnalysisLabel->Data(); + AliFlowCommonHistResults *commonHistRes4th = dynamic_cast + (fHistList->FindObject(commonHistResults4thOrderName.Data())); + if(commonHistRes4th) this->SetCommonHistsResults4th(commonHistRes4th); + TString commonHistResults6thOrderName = "AliFlowCommonHistResults6thOrderQC"; + commonHistResults6thOrderName += fAnalysisLabel->Data(); + AliFlowCommonHistResults *commonHistRes6th = dynamic_cast + (fHistList->FindObject(commonHistResults6thOrderName.Data())); + if(commonHistRes6th) this->SetCommonHistsResults6th(commonHistRes6th); + TString commonHistResults8thOrderName = "AliFlowCommonHistResults8thOrderQC"; + commonHistResults8thOrderName += fAnalysisLabel->Data(); + AliFlowCommonHistResults *commonHistRes8th = dynamic_cast + (fHistList->FindObject(commonHistResults8thOrderName.Data())); + if(commonHistRes8th) this->SetCommonHistsResults8th(commonHistRes8th); + +} // end of void AliFlowAnalysisWithQCumulants::GetPointersForCommonHistograms() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::GetPointersForParticleWeightsHistograms() +{ + // Get pointers for histograms with particle weights. + + TList *weightsList = dynamic_cast(fHistList->FindObject("Weights")); + if(weightsList) this->SetWeightsList(weightsList); + TString fUseParticleWeightsName = "fUseParticleWeightsQC"; // to be improved (hirdwired label QC) + fUseParticleWeightsName += fAnalysisLabel->Data(); + TProfile *useParticleWeights = dynamic_cast(weightsList->FindObject(fUseParticleWeightsName.Data())); + if(useParticleWeights) + { + this->SetUseParticleWeights(useParticleWeights); + fUsePhiWeights = (Int_t)fUseParticleWeights->GetBinContent(1); + fUsePtWeights = (Int_t)fUseParticleWeights->GetBinContent(2); + fUseEtaWeights = (Int_t)fUseParticleWeights->GetBinContent(3); + } +} // end of void AliFlowAnalysisWithQCumulants::GetPointersForParticleWeightsHistograms(); + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::GetPointersForIntFlowHistograms() +{ + // Get pointers for histograms and profiles relevant for integrated flow: + // a) Get pointer to base list for integrated flow holding profile fIntFlowFlags and lists fIntFlowProfiles and fIntFlowResults. + // b) Get pointer to profile fIntFlowFlags holding all flags for integrated flow. + // c) Get pointer to list fIntFlowProfiles and pointers to all objects that she holds. + // d) Get pointer to list fIntFlowResults and pointers to all objects that she holds. + + TString sinCosFlag[2] = {"sin","cos"}; // to be improved (should I promote this to data member?) + TString powerFlag[2] = {"linear","quadratic"}; // to be improved (should I promote this to data member?) + TString correlationFlag[4] = {"<<2>>","<<4>>","<<6>>","<<8>>"}; // to be improved (should I promote this to data member?) + + // a) Get pointer to base list for integrated flow holding profile fIntFlowFlags and lists fIntFlowProfiles and fIntFlowResults: + TList *intFlowList = NULL; + intFlowList = dynamic_cast(fHistList->FindObject("Integrated Flow")); + if(!intFlowList) + { + cout<<"WARNING: intFlowList is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TProfile *intFlowFlags = dynamic_cast(intFlowList->FindObject(intFlowFlagsName.Data())); + Bool_t bApplyCorrectionForNUA = kFALSE; + if(intFlowFlags) + { + this->SetIntFlowFlags(intFlowFlags); + bApplyCorrectionForNUA = (Int_t)intFlowFlags->GetBinContent(3); + this->SetApplyCorrectionForNUA(bApplyCorrectionForNUA); + } else + { + cout<<"WARNING: intFlowFlags is NULL in FAWQC::GPFIFH() !!!!"<(intFlowList->FindObject("Profiles")); + if(intFlowProfiles) + { + // average multiplicities: + TString avMultiplicityName = "fAvMultiplicity"; + avMultiplicityName += fAnalysisLabel->Data(); + TProfile *avMultiplicity = dynamic_cast(intFlowProfiles->FindObject(avMultiplicityName.Data())); + if(avMultiplicity) + { + this->SetAvMultiplicity(avMultiplicity); + } else + { + cout<<"WARNING: avMultiplicity is NULL in AFAWQC::GPFIFH() !!!!"<>, <<4>>, <<6>> and <<8>> (with wrong errors!): + TString intFlowCorrelationsProName = "fIntFlowCorrelationsPro"; + intFlowCorrelationsProName += fAnalysisLabel->Data(); + TProfile *intFlowCorrelationsPro = dynamic_cast(intFlowProfiles->FindObject(intFlowCorrelationsProName.Data())); + if(intFlowCorrelationsPro) + { + this->SetIntFlowCorrelationsPro(intFlowCorrelationsPro); + } else + { + cout<<"WARNING: intFlowCorrelationsPro is NULL in AFAWQC::GPFIFH() !!!!"<>, <<4>>, <<6>> and <<8>> versus multiplicity for all events (error is wrong here): + TString intFlowCorrelationsVsMProName = "fIntFlowCorrelationsVsMPro"; + intFlowCorrelationsVsMProName += fAnalysisLabel->Data(); + for(Int_t ci=0;ci<4;ci++) // correlation index + { + TProfile *intFlowCorrelationsVsMPro = dynamic_cast + (intFlowProfiles->FindObject(Form("%s, %s",intFlowCorrelationsVsMProName.Data(),correlationFlag[ci].Data()))); + if(intFlowCorrelationsVsMPro) + { + this->SetIntFlowCorrelationsVsMPro(intFlowCorrelationsVsMPro,ci); + } else + { + cout<<"WARNING: "<Data(); + TProfile *intFlowCorrelationsAllPro = dynamic_cast(intFlowProfiles->FindObject(intFlowCorrelationsAllProName.Data())); + if(intFlowCorrelationsAllPro) + { + this->SetIntFlowCorrelationsAllPro(intFlowCorrelationsAllPro); + } else + { + cout<<"WARNING: intFlowCorrelationsAllPro is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TProfile *intFlowExtraCorrelationsPro = dynamic_cast(intFlowProfiles->FindObject(intFlowExtraCorrelationsProName.Data())); + if(intFlowExtraCorrelationsPro) + { + this->SetIntFlowExtraCorrelationsPro(intFlowExtraCorrelationsPro); + } else + { + cout<<"WARNING: intFlowExtraCorrelationsPro is NULL in AFAWQC::GPFIFH() !!!!"<, <4>, <6> and <8>: + TString intFlowProductOfCorrelationsProName = "fIntFlowProductOfCorrelationsPro"; + intFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); + TProfile *intFlowProductOfCorrelationsPro = dynamic_cast(intFlowProfiles->FindObject(intFlowProductOfCorrelationsProName.Data())); + if(intFlowProductOfCorrelationsPro) + { + this->SetIntFlowProductOfCorrelationsPro(intFlowProductOfCorrelationsPro); + } else + { + cout<<"WARNING: intFlowProductOfCorrelationsPro is NULL in AFAWQC::GPFIFH() !!!!"<, <4>, <6> and <8> versus multiplicity + // [0=<<2><4>>,1=<<2><6>>,2=<<2><8>>,3=<<4><6>>,4=<<4><8>>,5=<<6><8>>] + TString intFlowProductOfCorrelationsVsMProName = "fIntFlowProductOfCorrelationsVsMPro"; + intFlowProductOfCorrelationsVsMProName += fAnalysisLabel->Data(); + TString productFlag[6] = {"<<2><4>>","<<2><6>>","<<2><8>>","<<4><6>>","<<4><8>>","<<6><8>>"}; + for(Int_t pi=0;pi<6;pi++) + { + TProfile *intFlowProductOfCorrelationsVsMPro = dynamic_cast(intFlowProfiles->FindObject(Form("%s, %s",intFlowProductOfCorrelationsVsMProName.Data(),productFlag[pi].Data()))); + if(intFlowProductOfCorrelationsVsMPro) + { + this->SetIntFlowProductOfCorrelationsVsMPro(intFlowProductOfCorrelationsVsMPro,pi); + } else + { + cout<<"WARNING: "<Data(); + TProfile *intFlowCorrectionTermsForNUAPro = dynamic_cast(intFlowProfiles->FindObject((Form("%s: %s terms",intFlowCorrectionTermsForNUAProName.Data(),sinCosFlag[sc].Data())))); + if(intFlowCorrectionTermsForNUAPro) + { + this->SetIntFlowCorrectionTermsForNUAPro(intFlowCorrectionTermsForNUAPro,sc); + } else + { + cout<<"WARNING: intFlowCorrectionTermsForNUAPro is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TProfile *intFlowProductOfCorrectionTermsForNUAPro = dynamic_cast(intFlowProfiles->FindObject(intFlowProductOfCorrectionTermsForNUAProName.Data())); + if(intFlowProductOfCorrectionTermsForNUAPro) + { + this->SetIntFlowProductOfCorrectionTermsForNUAPro(intFlowProductOfCorrectionTermsForNUAPro); + } else + { + cout<<"WARNING: intFlowProductOfCorrectionTermsForNUAPro is NULL in AFAWQC::GPFIFH() !!!!"<(intFlowList->FindObject("Results")); + if(intFlowResults) + { + // average correlations <<2>>, <<4>>, <<6>> and <<8>> (with correct errors!): + TString intFlowCorrelationsHistName = "fIntFlowCorrelationsHist"; + intFlowCorrelationsHistName += fAnalysisLabel->Data(); + TH1D *intFlowCorrelationsHist = dynamic_cast(intFlowResults->FindObject(intFlowCorrelationsHistName.Data())); + if(intFlowCorrelationsHist) + { + this->SetIntFlowCorrelationsHist(intFlowCorrelationsHist); + } else + { + cout<<"WARNING: intFlowCorrelationsHist is NULL in AFAWQC::GPFIFH() !!!!"<>, <<4>>, <<6>> and <<8>> (with correct errors!) vs M: + TString intFlowCorrelationsVsMHistName = "fIntFlowCorrelationsVsMHist"; + intFlowCorrelationsVsMHistName += fAnalysisLabel->Data(); + for(Int_t ci=0;ci<4;ci++) // correlation index + { + TH1D *intFlowCorrelationsVsMHist = dynamic_cast + (intFlowResults->FindObject(Form("%s, %s",intFlowCorrelationsVsMHistName.Data(),correlationFlag[ci].Data()))); + if(intFlowCorrelationsVsMHist) + { + this->SetIntFlowCorrelationsVsMHist(intFlowCorrelationsVsMHist,ci); + } else + { + cout<<"WARNING: "<Data(); + TH1D *intFlowCorrelationsAllHist = dynamic_cast(intFlowResults->FindObject(intFlowCorrelationsAllHistName.Data())); + if(intFlowCorrelationsAllHist) + { + this->SetIntFlowCorrelationsAllHist(intFlowCorrelationsAllHist); + } else + { + cout<<"WARNING: intFlowCorrelationsAllHist is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + for(Int_t sc=0;sc<2;sc++) + { + TH1D *intFlowCorrectionTermsForNUAHist = dynamic_cast(intFlowResults->FindObject((Form("%s: %s terms",intFlowCorrectionTermsForNUAHistName.Data(),sinCosFlag[sc].Data())))); + if(intFlowCorrectionTermsForNUAHist) + { + this->SetIntFlowCorrectionTermsForNUAHist(intFlowCorrectionTermsForNUAHist,sc); + } else + { + cout<<"WARNING: intFlowCorrectionTermsForNUAHist is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TH1D *intFlowCovariances = dynamic_cast(intFlowResults->FindObject(intFlowCovariancesName.Data())); + if(intFlowCovariances) + { + this->SetIntFlowCovariances(intFlowCovariances); + } else + { + cout<<"WARNING: intFlowCovariances is NULL in AFAWQC::GPFIFH() !!!!"<, <4>, <6> and <8>: + TString intFlowSumOfEventWeightsName = "fIntFlowSumOfEventWeights"; + intFlowSumOfEventWeightsName += fAnalysisLabel->Data(); + for(Int_t power=0;power<2;power++) + { + TH1D *intFlowSumOfEventWeights = dynamic_cast(intFlowResults->FindObject(Form("%s: %s",intFlowSumOfEventWeightsName.Data(),powerFlag[power].Data()))); + if(intFlowSumOfEventWeights) + { + this->SetIntFlowSumOfEventWeights(intFlowSumOfEventWeights,power); + } else + { + cout<<"WARNING: intFlowSumOfEventWeights is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TH1D *intFlowSumOfProductOfEventWeights = dynamic_cast(intFlowResults->FindObject(intFlowSumOfProductOfEventWeightsName.Data())); + if(intFlowSumOfProductOfEventWeights) + { + this->SetIntFlowSumOfProductOfEventWeights(intFlowSumOfProductOfEventWeights); + } else + { + cout<<"WARNING: intFlowSumOfProductOfEventWeights is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TString covarianceFlag[6] = {"Cov(<2>,<4>)","Cov(<2>,<6>)","Cov(<2>,<8>)","Cov(<4>,<6>)","Cov(<4>,<8>)","Cov(<6>,<8>)"}; + for(Int_t ci=0;ci<6;ci++) + { + TH1D *intFlowCovariancesVsM = dynamic_cast(intFlowResults->FindObject(Form("%s, %s",intFlowCovariancesVsMName.Data(),covarianceFlag[ci].Data()))); + if(intFlowCovariancesVsM) + { + this->SetIntFlowCovariancesVsM(intFlowCovariancesVsM,ci); + } else + { + cout<<"WARNING: "<, <4>, <6> and <8> versus multiplicity + // [0=sum{w_{<2>}},1=sum{w_{<4>}},2=sum{w_{<6>}},3=sum{w_{<8>}}][0=linear 1,1=quadratic]: + TString intFlowSumOfEventWeightsVsMName = "fIntFlowSumOfEventWeightsVsM"; + intFlowSumOfEventWeightsVsMName += fAnalysisLabel->Data(); + TString sumFlag[2][4] = {{"#sum_{i=1}^{N} w_{<2>}","#sum_{i=1}^{N} w_{<4>}","#sum_{i=1}^{N} w_{<6>}","#sum_{i=1}^{N} w_{<8>}"}, + {"#sum_{i=1}^{N} w_{<2>}^{2}","#sum_{i=1}^{N} w_{<4>}^{2}","#sum_{i=1}^{N} w_{<6>}^{2}","#sum_{i=1}^{N} w_{<8>}^{2}"}}; + for(Int_t si=0;si<4;si++) + { + for(Int_t power=0;power<2;power++) + { + TH1D *intFlowSumOfEventWeightsVsM = dynamic_cast(intFlowResults->FindObject(Form("%s, %s",intFlowSumOfEventWeightsVsMName.Data(),sumFlag[power][si].Data()))); + if(intFlowSumOfEventWeightsVsM) + { + this->SetIntFlowSumOfEventWeightsVsM(intFlowSumOfEventWeightsVsM,si,power); + } else + { + cout<<"WARNING: "<, <4>, <6> and <8> vs M + // [0=sum{w_{<2>}w_{<4>}},1=sum{w_{<2>}w_{<6>}},2=sum{w_{<2>}w_{<8>}}, + // 3=sum{w_{<4>}w_{<6>}},4=sum{w_{<4>}w_{<8>}},5=sum{w_{<6>}w_{<8>}}]: + TString intFlowSumOfProductOfEventWeightsVsMName = "fIntFlowSumOfProductOfEventWeightsVsM"; + intFlowSumOfProductOfEventWeightsVsMName += fAnalysisLabel->Data(); + TString sopowFlag[6] = {"#sum_{i=1}^{N} w_{<2>} w_{<4>}","#sum_{i=1}^{N} w_{<2>} w_{<6>}","#sum_{i=1}^{N} w_{<2>} w_{<8>}", + "#sum_{i=1}^{N} w_{<4>} w_{<6>}","#sum_{i=1}^{N} w_{<4>} w_{<8>}","#sum_{i=1}^{N} w_{<6>} w_{<8>}"}; + for(Int_t pi=0;pi<6;pi++) + { + TH1D *intFlowSumOfProductOfEventWeightsVsM = dynamic_cast(intFlowResults->FindObject(Form("%s, %s",intFlowSumOfProductOfEventWeightsVsMName.Data(),sopowFlag[pi].Data()))); + if(intFlowSumOfProductOfEventWeightsVsM) + { + this->SetIntFlowSumOfProductOfEventWeightsVsM(intFlowSumOfProductOfEventWeightsVsM,pi); + } else + { + cout<<"WARNING: "<Data(); + TH1D *intFlowCovariancesNUA = dynamic_cast(intFlowResults->FindObject(intFlowCovariancesNUAName.Data())); + if(intFlowCovariancesNUA) + { + this->SetIntFlowCovariancesNUA(intFlowCovariancesNUA); + } else + { + cout<<"WARNING: intFlowCovariancesNUA is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + for(Int_t sc=0;sc<2;sc++) + { + for(Int_t power=0;power<2;power++) + { + TH1D *intFlowSumOfEventWeightsNUA = dynamic_cast(intFlowResults->FindObject(Form("%s: %s, %s",intFlowSumOfEventWeightsNUAName.Data(),powerFlag[power].Data(),sinCosFlag[sc].Data()))); + if(intFlowSumOfEventWeightsNUA) + { + this->SetIntFlowSumOfEventWeightsNUA(intFlowSumOfEventWeightsNUA,sc,power); + } else + { + cout<<"WARNING: intFlowSumOfEventWeightsNUA is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TH1D *intFlowSumOfProductOfEventWeightsNUA = dynamic_cast(intFlowResults->FindObject(intFlowSumOfProductOfEventWeightsNUAName.Data())); + if(intFlowSumOfProductOfEventWeightsNUA) + { + this->SetIntFlowSumOfProductOfEventWeightsNUA(intFlowSumOfProductOfEventWeightsNUA); + } else + { + cout<<"WARNING: intFlowSumOfProductOfEventWeightsNUA is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TH1D *intFlowQcumulants = dynamic_cast(intFlowResults->FindObject(intFlowQcumulantsName.Data())); + if(intFlowQcumulants) + { + this->SetIntFlowQcumulants(intFlowQcumulants); + } else + { + cout<<"WARNING: intFlowQcumulants is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TString cumulantFlag[4] = {"QC{2}","QC{4}","QC{6}","QC{8}"}; + for(Int_t co=0;co<4;co++) // cumulant order + { + TH1D *intFlowQcumulantsVsM = dynamic_cast + (intFlowResults->FindObject(Form("%s, %s",intFlowQcumulantsVsMName.Data(),cumulantFlag[co].Data()))); + if(intFlowQcumulantsVsM) + { + this->SetIntFlowQcumulantsVsM(intFlowQcumulantsVsM,co); + } else + { + cout<<"WARNING: "<Data(); + TH1D *intFlow = dynamic_cast(intFlowResults->FindObject(intFlowName.Data())); + if(intFlow) + { + this->SetIntFlow(intFlow); + } else + { + cout<<"WARNING: intFlow is NULL in AFAWQC::GPFIFH() !!!!"<Data(); + TString flowFlag[4] = {"v_{2}{2,QC}","v_{2}{4,QC}","v_{2}{6,QC}","v_{2}{8,QC}"}; // to be improved (harwired harmonic) + for(Int_t co=0;co<4;co++) // cumulant order + { + TH1D *intFlowVsM = dynamic_cast + (intFlowResults->FindObject(Form("%s, %s",intFlowVsMName.Data(),flowFlag[co].Data()))); + if(intFlowVsM) + { + this->SetIntFlowVsM(intFlowVsM,co); + } else + { + cout<<"WARNING: "<","<4'>","<6'>","<8'>"}; + TString mixedCorrelationIndex[8] = {"<2>","<2'>","<4>","<4'>","<6>","<6'>","<8>","<8'>"}; + TString covarianceName[5] = {"Cov(<2>,<2'>)","Cov(<2>,<4'>)","Cov(<4>,<2'>)","Cov(<4>,<4'>)","Cov(<2'>,<4'>)"}; + + // b) Get pointer to base list for differential flow fDiffFlowList and nested lists fDiffFlowListProfiles and fDiffFlowListResults: + TList *diffFlowList = NULL; + diffFlowList = dynamic_cast(fHistList->FindObject("Differential Flow")); + if(!diffFlowList) + { + cout<<"WARNING: diffFlowList is NULL in AFAWQC::GPFDFH() !!!!"<(diffFlowList->FindObject("Profiles")); + if(!diffFlowListProfiles) + { + cout<<"WARNING: diffFlowListProfiles is NULL in AFAWQC::GPFDFH() !!!!"<(diffFlowList->FindObject("Results")); + if(!diffFlowListResults) + { + cout<<"WARNING: diffFlowListResults is NULL in AFAWQC::GPFDFH() !!!!"<Data(); + TProfile *diffFlowFlags = dynamic_cast(diffFlowList->FindObject(diffFlowFlagsName.Data())); + Bool_t bCalculate2DFlow = kFALSE; + if(diffFlowFlags) + { + this->SetDiffFlowFlags(diffFlowFlags); + bCalculate2DFlow = (Int_t)diffFlowFlags->GetBinContent(4); + this->SetCalculate2DFlow(bCalculate2DFlow); // to be improved (shoul I call this setter somewhere else?) + } + + // d) Get pointers to all nested lists in fDiffFlowListProfiles and to profiles which they hold; + // correlations: + TList *diffFlowCorrelationsProList[2][2] = {{NULL}}; + TString diffFlowCorrelationsProName = "fDiffFlowCorrelationsPro"; + diffFlowCorrelationsProName += fAnalysisLabel->Data(); + TProfile *diffFlowCorrelationsPro[2][2][4] = {{{NULL}}}; + // products of correlations: + TList *diffFlowProductOfCorrelationsProList[2][2] = {{NULL}}; + TString diffFlowProductOfCorrelationsProName = "fDiffFlowProductOfCorrelationsPro"; + diffFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); + TProfile *diffFlowProductOfCorrelationsPro[2][2][8][8] = {{{{NULL}}}}; + // corrections: + TList *diffFlowCorrectionsProList[2][2] = {{NULL}}; + TString diffFlowCorrectionTermsForNUAProName = "fDiffFlowCorrectionTermsForNUAPro"; + diffFlowCorrectionTermsForNUAProName += fAnalysisLabel->Data(); + TProfile *diffFlowCorrectionTermsForNUAPro[2][2][2][10] = {{{{NULL}}}}; + for(Int_t t=0;t<2;t++) + { + for(Int_t pe=0;pe<2;pe++) + { + diffFlowCorrelationsProList[t][pe] = dynamic_cast(diffFlowListProfiles->FindObject(Form("Profiles with correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data()))); + if(!diffFlowCorrelationsProList[t][pe]) + { + cout<<"WARNING: diffFlowCorrelationsProList[t][pe] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCorrelationsPro(diffFlowCorrelationsPro[t][pe][ci],t,pe,ci); + } else + { + cout<<"WARNING: diffFlowCorrelationsPro[t][pe][ci] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowProductOfCorrelationsPro(diffFlowProductOfCorrelationsPro[t][pe][mci1][mci2],t,pe,mci1,mci2); + } else + { + cout<<"WARNING: diffFlowCorrelationsPro[t][pe][ci] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCorrectionTermsForNUAPro(diffFlowCorrectionTermsForNUAPro[t][pe][sc][cti],t,pe,sc,cti); + } else + { + cout<<"WARNING: diffFlowCorrectionTermsForNUAPro[t][pe][sc][cti] is NULL in AFAWQC::GPFDFH() !!!!"<Data(); + TH1D *diffFlowCorrelationsHist[2][2][4] = {{{NULL}}}; + // corrections for NUA: + TList *diffFlowCorrectionsHistList[2][2] = {{NULL}}; + TString diffFlowCorrectionTermsForNUAHistName = "fDiffFlowCorrectionTermsForNUAHist"; + diffFlowCorrectionTermsForNUAHistName += fAnalysisLabel->Data(); + TH1D *diffFlowCorrectionTermsForNUAHist[2][2][2][10] = {{{{NULL}}}}; + // differential Q-cumulants: + TList *diffFlowCumulantsHistList[2][2] = {{NULL}}; + TString diffFlowCumulantsName = "fDiffFlowCumulants"; + diffFlowCumulantsName += fAnalysisLabel->Data(); + TH1D *diffFlowCumulants[2][2][4] = {{{NULL}}}; + // differential flow estimates from Q-cumulants: + TList *diffFlowHistList[2][2] = {{NULL}}; + TString diffFlowName = "fDiffFlow"; + diffFlowName += fAnalysisLabel->Data(); + TH1D *diffFlow[2][2][4] = {{{NULL}}}; + // differential covariances: + TList *diffFlowCovariancesHistList[2][2] = {{NULL}}; + TString diffFlowCovariancesName = "fDiffFlowCovariances"; + diffFlowCovariancesName += fAnalysisLabel->Data(); + TH1D *diffFlowCovariances[2][2][5] = {{{NULL}}}; + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + // reduced correlations: + diffFlowCorrelationsHistList[t][pe] = dynamic_cast(diffFlowListResults->FindObject(Form("Correlations (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data()))); + if(!diffFlowCorrelationsHistList[t][pe]) + { + cout<<"WARNING: diffFlowCorrelationsHistList[t][pe] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCorrelationsHist(diffFlowCorrelationsHist[t][pe][index],t,pe,index); + } else + { + cout<<"WARNING: diffFlowCorrelationsHist[t][pe][index] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCorrectionTermsForNUAHist(diffFlowCorrectionTermsForNUAHist[t][pe][sc][cti],t,pe,sc,cti); + } else + { + cout<<"WARNING: diffFlowCorrectionTermsForNUAHist[t][pe][sc][cti] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCumulants(diffFlowCumulants[t][pe][index],t,pe,index); + } else + { + cout<<"WARNING: diffFlowCumulants[t][pe][index] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlow(diffFlow[t][pe][index],t,pe,index); + } else + { + cout<<"WARNING: diffFlow[t][pe][index] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowCovariances(diffFlowCovariances[t][pe][covIndex],t,pe,covIndex); + } else + { + cout<<"WARNING: diffFlowCovariances[t][pe][covIndex] is NULL in AFAWQC::GPFDFH() !!!!"<Data(); + TH1D *diffFlowSumOfEventWeights[2][2][2][4] = {{{{NULL}}}}; + for(Int_t t=0;t<2;t++) // type is RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t p=0;p<2;p++) // power of event weights is either 1 or 2 + { + diffFlowSumOfEventWeightsHistList[t][pe][p] = dynamic_cast(diffFlowListResults->FindObject(Form("Sum of %s event weights (%s, %s)",powerFlag[p].Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data()))); + if(!diffFlowSumOfEventWeightsHistList[t][pe][p]) + { + cout<<"WARNING: diffFlowSumOfEventWeightsHistList[t][pe][p] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowSumOfEventWeights(diffFlowSumOfEventWeights[t][pe][p][ew],t,pe,p,ew); + } else + { + cout<<"WARNING: diffFlowSumOfEventWeights[t][pe][p][ew] is NULL in AFAWQC::GPFDFH() !!!!"<Data(); + TH1D *diffFlowSumOfProductOfEventWeights[2][2][8][8] = {{{{NULL}}}}; + for(Int_t t=0;t<2;t++) // type is RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + diffFlowSumOfProductOfEventWeightsHistList[t][pe] = dynamic_cast(diffFlowListResults->FindObject(Form("Sum of products of event weights (%s, %s)",typeFlag[t].Data(),ptEtaFlag[pe].Data()))); + if(!diffFlowSumOfProductOfEventWeightsHistList[t][pe]) + { + cout<<"WARNING: diffFlowSumOfProductOfEventWeightsHistList[t][pe] is NULL in AFAWQC::GPFDFH() !!!!"<SetDiffFlowSumOfProductOfEventWeights(diffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2],t,pe,mci1,mci2); + } else + { + cout<<"WARNING: diffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2] is NULL in AFAWQC::GPFDFH() !!!!"<","<4'>","<6'>","<8'>"}; + TString mixedCorrelationIndex[8] = {"<2>","<2'>","<4>","<4'>","<6>","<6'>","<8>","<8'>"}; + TString covarianceName[5] = {"Cov(<2>,<2'>)","Cov(<2>,<4'>)","Cov(<4>,<2'>)","Cov(<4>,<4'>)","Cov(<2'>,<4'>)"}; + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + + // b) Book profile to hold all flags for differential flow: + TString diffFlowFlagsName = "fDiffFlowFlags"; + diffFlowFlagsName += fAnalysisLabel->Data(); + fDiffFlowFlags = new TProfile(diffFlowFlagsName.Data(),"Flags for Differential Flow",4,0,4); + fDiffFlowFlags->SetTickLength(-0.01,"Y"); + fDiffFlowFlags->SetMarkerStyle(25); + fDiffFlowFlags->SetLabelSize(0.05); + fDiffFlowFlags->SetLabelOffset(0.02,"Y"); + (fDiffFlowFlags->GetXaxis())->SetBinLabel(1,"Particle Weights"); + (fDiffFlowFlags->GetXaxis())->SetBinLabel(2,"Event Weights"); + (fDiffFlowFlags->GetXaxis())->SetBinLabel(3,"Corrected for NUA?"); + (fDiffFlowFlags->GetXaxis())->SetBinLabel(4,"Calculated 2D flow?"); + fDiffFlowList->Add(fDiffFlowFlags); + + // c) Book e-b-e quantities: + // Event-by-event r_{m*n,k}(pt,eta), p_{m*n,k}(pt,eta) and q_{m*n,k}(pt,eta) + // Explanantion of notation: + // 1.) n is harmonic, m is multiple of harmonic; + // 2.) k is power of particle weight; + // 3.) r_{m*n,k}(pt,eta) = Q-vector evaluated in harmonic m*n for RPs in particular (pt,eta) bin (i-th RP is weighted with w_i^k); + // 4.) p_{m*n,k}(pt,eta) = Q-vector evaluated in harmonic m*n for POIs in particular (pt,eta) bin + // (if i-th POI is also RP, than it is weighted with w_i^k); + // 5.) q_{m*n,k}(pt,eta) = Q-vector evaluated in harmonic m*n for particles which are both RPs and POIs in particular (pt,eta) bin + // (i-th RP&&POI is weighted with w_i^k) + + // 1D: + for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP && POI ) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t m=0;m<4;m++) // multiple of harmonic + { + for(Int_t k=0;k<9;k++) // power of particle weight + { + fReRPQ1dEBE[t][pe][m][k] = new TProfile(Form("TypeFlag%dpteta%dmultiple%dpower%dRe",t,pe,m,k), + Form("TypeFlag%dpteta%dmultiple%dpower%dRe",t,pe,m,k),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fImRPQ1dEBE[t][pe][m][k] = new TProfile(Form("TypeFlag%dpteta%dmultiple%dpower%dIm",t,pe,m,k), + Form("TypeFlag%dpteta%dmultiple%dpower%dIm",t,pe,m,k),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + } + } + } + } + // to be improved (add explanation of fs1dEBE[t][pe][k]): + for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP&&POI ) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t k=0;k<9;k++) // power of particle weight + { + fs1dEBE[t][pe][k] = new TProfile(Form("TypeFlag%dpteta%dmultiple%d",t,pe,k), + Form("TypeFlag%dpteta%dmultiple%d",t,pe,k),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + } + } + } + // correction terms for nua: + for(Int_t t=0;t<2;t++) // typeFlag (0 = RP, 1 = POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t sc=0;sc<2;sc++) // sin or cos + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowCorrectionTermsForNUAEBE[t][pe][sc][cti] = new TH1D(Form("typeFlag%d pteta%d sincos%d cti%d",t,pe,sc,cti), + Form("typeFlag%d pteta%d sincos%d cti%d",t,pe,sc,cti),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + } + } + } + } + // 2D: + TProfile2D styleRe("typeMultiplePowerRe","typeMultiplePowerRe",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax); + TProfile2D styleIm("typeMultiplePowerIm","typeMultiplePowerIm",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax); + for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP&&POI ) + { + for(Int_t m=0;m<4;m++) + { + for(Int_t k=0;k<9;k++) + { + fReRPQ2dEBE[t][m][k] = (TProfile2D*)styleRe.Clone(Form("typeFlag%dmultiple%dpower%dRe",t,m,k)); + fImRPQ2dEBE[t][m][k] = (TProfile2D*)styleIm.Clone(Form("typeFlag%dmultiple%dpower%dIm",t,m,k)); + } + } + } + TProfile2D styleS("typePower","typePower",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax); + for(Int_t t=0;t<3;t++) // typeFlag (0 = RP, 1 = POI, 2 = RP&&POI ) + { + for(Int_t k=0;k<9;k++) + { + fs2dEBE[t][k] = (TProfile2D*)styleS.Clone(Form("typeFlag%dpower%d",t,k)); + } + } + // reduced correlations e-b-e: + TString diffFlowCorrelationsEBEName = "fDiffFlowCorrelationsEBE"; + diffFlowCorrelationsEBEName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t rci=0;rci<4;rci++) // reduced correlation index + { + fDiffFlowCorrelationsEBE[t][pe][rci] = new TH1D(Form("%s, %s, %s, %s",diffFlowCorrelationsEBEName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),Form("%s, %s, %s, %s",diffFlowCorrelationsEBEName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + } // end of for(Int_t ci=0;ci<4;ci++) // correlation index + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + // event weights for reduced correlations e-b-e: + TString diffFlowEventWeightsForCorrelationsEBEName = "fDiffFlowEventWeightsForCorrelationsEBE"; + diffFlowEventWeightsForCorrelationsEBEName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t rci=0;rci<4;rci++) // event weight for reduced correlation index + { + fDiffFlowEventWeightsForCorrelationsEBE[t][pe][rci] = new TH1D(Form("%s, %s, %s, eW for %s",diffFlowEventWeightsForCorrelationsEBEName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),Form("%s, %s, %s, eW for %s",diffFlowEventWeightsForCorrelationsEBEName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + } // end of for(Int_t ci=0;ci<4;ci++) // correlation index + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + + // d) Book profiles; + // reduced correlations: + TString diffFlowCorrelationsProName = "fDiffFlowCorrelationsPro"; + diffFlowCorrelationsProName += fAnalysisLabel->Data(); + // corrections terms: + TString diffFlowCorrectionTermsForNUAProName = "fDiffFlowCorrectionTermsForNUAPro"; + diffFlowCorrectionTermsForNUAProName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t rci=0;rci<4;rci++) // reduced correlation index + { + // reduced correlations: + fDiffFlowCorrelationsPro[t][pe][rci] = new TProfile(Form("%s, %s, %s, %s",diffFlowCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),Form("%s, %s, %s, %s",diffFlowCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[rci].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe],"s"); + fDiffFlowCorrelationsPro[t][pe][rci]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowCorrelationsProList[t][pe]->Add(fDiffFlowCorrelationsPro[t][pe][rci]); // to be improved (add dedicated list to hold reduced correlations) + } // end of for(Int_t rci=0;rci<4;rci++) // correlation index + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + // correction terms for nua: + for(Int_t t=0;t<2;t++) // typeFlag (0 = RP, 1 = POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t sc=0;sc<2;sc++) // sin or cos + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowCorrectionTermsForNUAPro[t][pe][sc][cti] = new TProfile(Form("%s, %s, %s, %s, cti = %d",diffFlowCorrectionTermsForNUAProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),sinCosFlag[sc].Data(),cti+1),Form("%s, %s, %s, %s, cti = %d",diffFlowCorrectionTermsForNUAProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),sinCosFlag[sc].Data(),cti+1),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowCorrectionsProList[t][pe]->Add(fDiffFlowCorrectionTermsForNUAPro[t][pe][sc][cti]); + } + } + } + } + // e) Book histograms holding final results. + // reduced correlations: + TString diffFlowCorrelationsHistName = "fDiffFlowCorrelationsHist"; + diffFlowCorrelationsHistName += fAnalysisLabel->Data(); + // corrections terms: + TString diffFlowCorrectionTermsForNUAHistName = "fDiffFlowCorrectionTermsForNUAHist"; + diffFlowCorrectionTermsForNUAHistName += fAnalysisLabel->Data(); + // differential covariances: + TString diffFlowCovariancesName = "fDiffFlowCovariances"; + diffFlowCovariancesName += fAnalysisLabel->Data(); + // differential Q-cumulants: + TString diffFlowCumulantsName = "fDiffFlowCumulants"; + diffFlowCumulantsName += fAnalysisLabel->Data(); + // differential flow: + TString diffFlowName = "fDiffFlow"; + diffFlowName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // type: RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t index=0;index<4;index++) + { + // reduced correlations: + fDiffFlowCorrelationsHist[t][pe][index] = new TH1D(Form("%s, %s, %s, %s",diffFlowCorrelationsHistName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[index].Data()),Form("%s, %s, %s, %s",diffFlowCorrelationsHistName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[index].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowCorrelationsHist[t][pe][index]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowCorrelationsHistList[t][pe]->Add(fDiffFlowCorrelationsHist[t][pe][index]); + // differential Q-cumulants: + fDiffFlowCumulants[t][pe][index] = new TH1D(Form("%s, %s, %s, %s",diffFlowCumulantsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialCumulantIndex[index].Data()),Form("%s, %s, %s, %s",diffFlowCumulantsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialCumulantIndex[index].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowCumulants[t][pe][index]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowCumulantsHistList[t][pe]->Add(fDiffFlowCumulants[t][pe][index]); + // differential flow estimates from Q-cumulants: + fDiffFlow[t][pe][index] = new TH1D(Form("%s, %s, %s, %s",diffFlowName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialFlowIndex[index].Data()),Form("%s, %s, %s, %s",diffFlowName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),differentialFlowIndex[index].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlow[t][pe][index]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowHistList[t][pe]->Add(fDiffFlow[t][pe][index]); + } // end of for(Int_t index=0;index<4;index++) + for(Int_t covIndex=0;covIndex<5;covIndex++) // covariance index + { + // differential covariances: + fDiffFlowCovariances[t][pe][covIndex] = new TH1D(Form("%s, %s, %s, %s",diffFlowCovariancesName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),covarianceName[covIndex].Data()),Form("%s, %s, %s, %s",diffFlowCovariancesName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),covarianceName[covIndex].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowCovariances[t][pe][covIndex]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowCovariancesHistList[t][pe]->Add(fDiffFlowCovariances[t][pe][covIndex]); + } // end of for(Int_t covIndex=0;covIndex<5;covIndex++) // covariance index + // products of both types of correlations: + TString diffFlowProductOfCorrelationsProName = "fDiffFlowProductOfCorrelationsPro"; + diffFlowProductOfCorrelationsProName += fAnalysisLabel->Data(); + for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index + { + for(Int_t mci2=mci1+1;mci2<8;mci2++) // mixed correlation index + { + fDiffFlowProductOfCorrelationsPro[t][pe][mci1][mci2] = new TProfile(Form("%s, %s, %s, %s, %s",diffFlowProductOfCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),Form("%s, %s, %s, %s #times %s",diffFlowProductOfCorrelationsProName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowProductOfCorrelationsPro[t][pe][mci1][mci2]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowProductOfCorrelationsProList[t][pe]->Add(fDiffFlowProductOfCorrelationsPro[t][pe][mci1][mci2]); + if(mci1%2 == 0) mci2++; // products which DO NOT include reduced correlations are not stored here + } // end of for(Int_t mci2=mci1+1;mci2<8;mci2++) // mixed correlation index + } // end of for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index + } // end of for(Int_t pe=0;pe<2;pe++) // pt or eta + } // end of for(Int_t t=0;t<2;t++) // type: RP or POI + // sums of event weights for reduced correlations: + TString diffFlowSumOfEventWeightsName = "fDiffFlowSumOfEventWeights"; + diffFlowSumOfEventWeightsName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // type is RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t p=0;p<2;p++) // power of weights is either 1 or 2 + { + for(Int_t ew=0;ew<4;ew++) // index of reduced correlation + { + fDiffFlowSumOfEventWeights[t][pe][p][ew] = new TH1D(Form("%s, %s, %s, %s, %s",diffFlowSumOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),powerFlag[p].Data(),reducedCorrelationIndex[ew].Data()),Form("%s, %s, %s, power = %s, %s",diffFlowSumOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),powerFlag[p].Data(),reducedCorrelationIndex[ew].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowSumOfEventWeights[t][pe][p][ew]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowSumOfEventWeightsHistList[t][pe][p]->Add(fDiffFlowSumOfEventWeights[t][pe][p][ew]); // to be improved (add dedicated list to hold all this) + } + } + } + } + // sum of products of event weights for both types of correlations: + TString diffFlowSumOfProductOfEventWeightsName = "fDiffFlowSumOfProductOfEventWeights"; + diffFlowSumOfProductOfEventWeightsName += fAnalysisLabel->Data(); + for(Int_t t=0;t<2;t++) // type is RP or POI + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t mci1=0;mci1<8;mci1++) // mixed correlation index + { + for(Int_t mci2=mci1+1;mci2<8;mci2++) // mixed correlation index + { + fDiffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2] = new TH1D(Form("%s, %s, %s, %s, %s",diffFlowSumOfProductOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),Form("%s, %s, %s, %s #times %s",diffFlowSumOfProductOfEventWeightsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),mixedCorrelationIndex[mci1].Data(),mixedCorrelationIndex[mci2].Data()),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2]->SetXTitle(ptEtaFlag[pe].Data()); + fDiffFlowSumOfProductOfEventWeightsHistList[t][pe]->Add(fDiffFlowSumOfProductOfEventWeights[t][pe][mci1][mci2]); + if(mci1%2 == 0) mci2++; // products which DO NOT include reduced correlations are not stored here + } + } + } + } + // correction terms for nua: + for(Int_t t=0;t<2;t++) // typeFlag (0 = RP, 1 = POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t sc=0;sc<2;sc++) // sin or cos + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowCorrectionTermsForNUAHist[t][pe][sc][cti] = new TH1D(Form("%s, %s, %s, %s, cti = %d",diffFlowCorrectionTermsForNUAHistName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),sinCosFlag[sc].Data(),cti+1),Form("%s, %s, %s, %s, cti = %d",diffFlowCorrectionTermsForNUAHistName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),sinCosFlag[sc].Data(),cti+1),nBinsPtEta[pe],minPtEta[pe],maxPtEta[pe]); + fDiffFlowCorrectionsHistList[t][pe]->Add(fDiffFlowCorrectionTermsForNUAHist[t][pe][sc][cti]); + } + } + } + } + +} // end of AliFlowAnalysisWithQCumulants::BookEverythingForDifferentialFlow() + + +//================================================================================================================================ + +/* +void AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNUAForIntQcumulants() // to be improved (do I really need this method?) +{ + // Calculate final corrections for non-uniform acceptance for Q-cumulants. + + // Corrections for non-uniform acceptance are stored in histogram fCorrectionsForNUA, + // binning of fCorrectionsForNUA is organized as follows: + // + // 1st bin: correction to QC{2} + // 2nd bin: correction to QC{4} + // 3rd bin: correction to QC{6} + // 4th bin: correction to QC{8} + + // shortcuts flags: + Int_t pW = (Int_t)(useParticleWeights); + + Int_t eW = -1; + + if(eventWeights == "exact") + { + eW = 0; + } + + for(Int_t sc=0;sc<2;sc++) // sin or cos terms flag + { + if(!(fQCorrelations[pW][eW] && fQCorrections[pW][eW][sc] && fCorrections[pW][eW])) + { + cout<<"WARNING: fQCorrelations[pW][eW] && fQCorrections[pW][eW][sc] && fCorrections[pW][eW] is NULL in AFAWQC::CFCFNUAFIF() !!!!"<=0.) + { + fIntFlow->SetBinError(2,pow(err4thSquared,0.5)); // to be improved (enabled eventually) + } else + { + cout<<"WARNING: Statistical error of v{4,QC} (with non-isotropic terms included) is imaginary !!!! "<GetBinContent(ci); + Double_t spread = fIntFlowCorrectionTermsForNUAPro[sc]->GetBinError(ci); + Double_t sumOfLinearEventWeights = fIntFlowSumOfEventWeightsNUA[sc][0]->GetBinContent(ci); + Double_t sumOfQuadraticEventWeights = fIntFlowSumOfEventWeightsNUA[sc][1]->GetBinContent(ci); + Double_t termA = 0.; + Double_t termB = 0.; + if(sumOfLinearEventWeights) + { + termA = pow(sumOfQuadraticEventWeights,0.5)/sumOfLinearEventWeights; + } else + { + cout<<"WARNING: sumOfLinearEventWeights == 0 in AFAWQC::FCTFNIF() !!!!"< 0.) + { + termB = 1./pow(1-pow(termA,2.),0.5); + } else + { + cout<<"WARNING: 1.-pow(termA,2.) <= 0 in AFAWQC::FCTFNIF() !!!!"<SetBinContent(ci,correction); + fIntFlowCorrectionTermsForNUAHist[sc]->SetBinError(ci,statisticalError); + } // end of for(Int_t ci=1;ci<=10;ci++) // correction term index + } // end of for(Int sc=0;sc<2;sc++) // sin or cos correction terms + +} // end of void AliFlowAnalysisWithQCumulants::FinalizeCorrectionTermsForNUAIntFlow() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::GetPointersForNestedLoopsHistograms() +{ + // Get pointers to all objects relevant for calculations with nested loops. + + TList *nestedLoopsList = dynamic_cast(fHistList->FindObject("Nested Loops")); + if(nestedLoopsList) + { + this->SetNestedLoopsList(nestedLoopsList); + } else + { + cout<<"WARNING: nestedLoopsList is NULL in AFAWQC::GPFNLH() !!!!"<","<4'>","<6'>","<8'>"}; // to be improved (should I promote this to data members?) + + TString evaluateNestedLoopsName = "fEvaluateNestedLoops"; + evaluateNestedLoopsName += fAnalysisLabel->Data(); + TProfile *evaluateNestedLoops = dynamic_cast(nestedLoopsList->FindObject(evaluateNestedLoopsName.Data())); + Bool_t bEvaluateIntFlowNestedLoops = kFALSE; + Bool_t bEvaluateDiffFlowNestedLoops = kFALSE; + if(evaluateNestedLoops) + { + this->SetEvaluateNestedLoops(evaluateNestedLoops); + bEvaluateIntFlowNestedLoops = (Int_t)evaluateNestedLoops->GetBinContent(1); + bEvaluateDiffFlowNestedLoops = (Int_t)evaluateNestedLoops->GetBinContent(2); + } + // nested loops relevant for integrated flow: + if(bEvaluateIntFlowNestedLoops) + { + // correlations: + TString intFlowDirectCorrelationsName = "fIntFlowDirectCorrelations"; + intFlowDirectCorrelationsName += fAnalysisLabel->Data(); + TProfile *intFlowDirectCorrelations = dynamic_cast(nestedLoopsList->FindObject(intFlowDirectCorrelationsName.Data())); + if(intFlowDirectCorrelations) + { + this->SetIntFlowDirectCorrelations(intFlowDirectCorrelations); + } else + { + cout<<"WARNING: intFlowDirectCorrelations is NULL in AFAWQC::GPFNLH() !!!!"<Data(); + TProfile *intFlowExtraDirectCorrelations = dynamic_cast(nestedLoopsList->FindObject(intFlowExtraDirectCorrelationsName.Data())); + if(intFlowExtraDirectCorrelations) + { + this->SetIntFlowExtraDirectCorrelations(intFlowExtraDirectCorrelations); + } else + { + cout<<"WARNING: intFlowExtraDirectCorrelations is NULL in AFAWQC::GPFNLH() !!!!"<Data(); + TProfile *intFlowDirectCorrectionTermsForNUA[2] = {NULL}; + for(Int_t sc=0;sc<2;sc++) // sin or cos terms + { + intFlowDirectCorrectionTermsForNUA[sc] = dynamic_cast(nestedLoopsList->FindObject(Form("%s: %s terms",intFlowDirectCorrectionTermsForNUAName.Data(),sinCosFlag[sc].Data()))); + if(intFlowDirectCorrectionTermsForNUA[sc]) + { + this->SetIntFlowDirectCorrectionTermsForNUA(intFlowDirectCorrectionTermsForNUA[sc],sc); + } else + { + cout<<"WARNING: intFlowDirectCorrectionTermsForNUA[sc] is NULL in AFAWQC::GPFNLH() !!!!"<Data(); + TProfile *diffFlowDirectCorrelations[2][2][4] = {{{NULL}}}; + for(Int_t t=0;t<2;t++) + { + for(Int_t pe=0;pe<2;pe++) + { + for(Int_t ci=0;ci<4;ci++) // correlation index + { + diffFlowDirectCorrelations[t][pe][ci] = dynamic_cast(nestedLoopsList->FindObject(Form("%s, %s, %s, %s",diffFlowDirectCorrelationsName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),reducedCorrelationIndex[ci].Data()))); + if(diffFlowDirectCorrelations[t][pe][ci]) + { + this->SetDiffFlowDirectCorrelations(diffFlowDirectCorrelations[t][pe][ci],t,pe,ci); + } else + { + cout<<"WARNING: diffFlowDirectCorrelations[t][pe][ci] is NULL in AFAWQC::GPFDFH() !!!!"<Data(); + TProfile *diffFlowDirectCorrectionTermsForNUA[2][2][2][10] = {{{{NULL}}}}; + for(Int_t t=0;t<2;t++) + { + for(Int_t pe=0;pe<2;pe++) + { + // correction terms for NUA: + for(Int_t sc=0;sc<2;sc++) // sin or cos + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + diffFlowDirectCorrectionTermsForNUA[t][pe][sc][cti] = dynamic_cast(nestedLoopsList->FindObject(Form("%s, %s, %s, %s, cti = %d",diffFlowDirectCorrectionTermsForNUAName.Data(),typeFlag[t].Data(),ptEtaFlag[pe].Data(),sinCosFlag[sc].Data(),cti+1))); + if(diffFlowDirectCorrectionTermsForNUA[t][pe][sc][cti]) + { + this->SetDiffFlowDirectCorrectionTermsForNUA(diffFlowDirectCorrectionTermsForNUA[t][pe][sc][cti],t,pe,sc,cti); + } else + { + cout<<"WARNING: diffFlowDirectCorrectionTermsForNUA[t][pe][sc][cti] is NULL in AFAWQC::GPFDFH() !!!!"<(nestedLoopsList->FindObject(noOfParticlesInBinName.Data())); + if(noOfParticlesInBin) + { + this->SetNoOfParticlesInBin(noOfParticlesInBin); + } else + { + cout<GetHarmonic())->Fill(0.5,fHarmonic); + (fCommonHists2nd->GetHarmonic())->Fill(0.5,fHarmonic); + (fCommonHists4th->GetHarmonic())->Fill(0.5,fHarmonic); + (fCommonHists6th->GetHarmonic())->Fill(0.5,fHarmonic); + (fCommonHists8th->GetHarmonic())->Fill(0.5,fHarmonic); + +} // end of void AliFlowAnalysisWithQCumulants::StoreHarmonic() + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrelationsUsingParticleWeights(TString type, TString ptOrEta) // type = RP or POI +{ + // Calculate all correlations needed for differential flow using particle weights. + + Int_t t = -1; // type flag + Int_t pe = -1; // ptEta flag + + if(type == "RP") + { + t = 0; + } else if(type == "POI") + { + t = 1; + } + + if(ptOrEta == "Pt") + { + pe = 0; + } else if(ptOrEta == "Eta") + { + pe = 1; + } + + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // real and imaginary parts of weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n1k = (*fReQ)(0,1); + Double_t dReQ2n2k = (*fReQ)(1,2); + Double_t dReQ1n3k = (*fReQ)(0,3); + //Double_t dReQ4n4k = (*fReQ)(3,4); + Double_t dImQ1n1k = (*fImQ)(0,1); + Double_t dImQ2n2k = (*fImQ)(1,2); + Double_t dImQ1n3k = (*fImQ)(0,3); + //Double_t dImQ4n4k = (*fImQ)(3,4); + + // S^M_{p,k} (see .h file for the definition of fSMpk): + Double_t dSM1p1k = (*fSMpk)(0,1); + Double_t dSM1p2k = (*fSMpk)(0,2); + Double_t dSM1p3k = (*fSMpk)(0,3); + Double_t dSM2p1k = (*fSMpk)(1,1); + Double_t dSM3p1k = (*fSMpk)(2,1); + + // looping over all bins and calculating reduced correlations: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular (pt,eta) bin): + Double_t p1n0kRe = 0.; + Double_t p1n0kIm = 0.; + + // number of POIs in particular (pt,eta) bin): + Double_t mp = 0.; + + // real and imaginary parts of q_{m*n,k}: + // (weighted Q-vector evaluated for particles which are both RPs and POIs in particular (pt,eta) bin) + Double_t q1n2kRe = 0.; + Double_t q1n2kIm = 0.; + Double_t q2n1kRe = 0.; + Double_t q2n1kIm = 0.; + + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + Double_t s1p1k = 0.; + Double_t s1p2k = 0.; + Double_t s1p3k = 0.; + + // M0111 from Eq. (118) in QC2c (to be improved (notation)) + Double_t dM0111 = 0.; + + if(type == "POI") + { + p1n0kRe = fReRPQ1dEBE[1][pe][0][0]->GetBinContent(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[1][pe][0][0]->GetBinContent(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[1][pe][0][0]->GetBinEntries(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)); + + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + + t = 1; // typeFlag = RP or POI + + // q_{m*n,k}: (Remark: m=1 is 0, k=0 iz zero (to be improved!)) + q1n2kRe = fReRPQ1dEBE[2][pe][0][2]->GetBinContent(fReRPQ1dEBE[2][pe][0][2]->GetBin(b)) + * fReRPQ1dEBE[2][pe][0][2]->GetBinEntries(fReRPQ1dEBE[2][pe][0][2]->GetBin(b)); + q1n2kIm = fImRPQ1dEBE[2][pe][0][2]->GetBinContent(fImRPQ1dEBE[2][pe][0][2]->GetBin(b)) + * fImRPQ1dEBE[2][pe][0][2]->GetBinEntries(fImRPQ1dEBE[2][pe][0][2]->GetBin(b)); + q2n1kRe = fReRPQ1dEBE[2][pe][1][1]->GetBinContent(fReRPQ1dEBE[2][pe][1][1]->GetBin(b)) + * fReRPQ1dEBE[2][pe][1][1]->GetBinEntries(fReRPQ1dEBE[2][pe][1][1]->GetBin(b)); + q2n1kIm = fImRPQ1dEBE[2][pe][1][1]->GetBinContent(fImRPQ1dEBE[2][pe][1][1]->GetBin(b)) + * fImRPQ1dEBE[2][pe][1][1]->GetBinEntries(fImRPQ1dEBE[2][pe][1][1]->GetBin(b)); + + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + s1p1k = pow(fs1dEBE[2][pe][1]->GetBinContent(b)*fs1dEBE[2][pe][1]->GetBinEntries(b),1.); + s1p2k = pow(fs1dEBE[2][pe][2]->GetBinContent(b)*fs1dEBE[2][pe][2]->GetBinEntries(b),1.); + s1p3k = pow(fs1dEBE[2][pe][3]->GetBinContent(b)*fs1dEBE[2][pe][3]->GetBinEntries(b),1.); + + // M0111 from Eq. (118) in QC2c (to be improved (notation)): + dM0111 = mp*(dSM3p1k-3.*dSM1p1k*dSM1p2k+2.*dSM1p3k) + - 3.*(s1p1k*(dSM2p1k-dSM1p2k) + + 2.*(s1p3k-s1p2k*dSM1p1k)); + } + else if(type == "RP") + { + // q_{m*n,k}: (Remark: m=1 is 0, k=0 iz zero (to be improved!)) + q1n2kRe = fReRPQ1dEBE[0][pe][0][2]->GetBinContent(fReRPQ1dEBE[0][pe][0][2]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][2]->GetBinEntries(fReRPQ1dEBE[0][pe][0][2]->GetBin(b)); + q1n2kIm = fImRPQ1dEBE[0][pe][0][2]->GetBinContent(fImRPQ1dEBE[0][pe][0][2]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][2]->GetBinEntries(fImRPQ1dEBE[0][pe][0][2]->GetBin(b)); + q2n1kRe = fReRPQ1dEBE[0][pe][1][1]->GetBinContent(fReRPQ1dEBE[0][pe][1][1]->GetBin(b)) + * fReRPQ1dEBE[0][pe][1][1]->GetBinEntries(fReRPQ1dEBE[0][pe][1][1]->GetBin(b)); + q2n1kIm = fImRPQ1dEBE[0][pe][1][1]->GetBinContent(fImRPQ1dEBE[0][pe][1][1]->GetBin(b)) + * fImRPQ1dEBE[0][pe][1][1]->GetBinEntries(fImRPQ1dEBE[0][pe][1][1]->GetBin(b)); + + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + s1p1k = pow(fs1dEBE[0][pe][1]->GetBinContent(b)*fs1dEBE[0][pe][1]->GetBinEntries(b),1.); + s1p2k = pow(fs1dEBE[0][pe][2]->GetBinContent(b)*fs1dEBE[0][pe][2]->GetBinEntries(b),1.); + s1p3k = pow(fs1dEBE[0][pe][3]->GetBinContent(b)*fs1dEBE[0][pe][3]->GetBinEntries(b),1.); + + // to be improved (cross-checked): + p1n0kRe = fReRPQ1dEBE[0][pe][0][0]->GetBinContent(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[0][pe][0][0]->GetBinContent(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][0]->GetBinEntries(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)); + + mp = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + + t = 0; // typeFlag = RP or POI + + // M0111 from Eq. (118) in QC2c (to be improved (notation)): + dM0111 = mp*(dSM3p1k-3.*dSM1p1k*dSM1p2k+2.*dSM1p3k) + - 3.*(s1p1k*(dSM2p1k-dSM1p2k) + + 2.*(s1p3k-s1p2k*dSM1p1k)); + //............................................................................................... + } + + // 2'-particle correlation: + Double_t two1n1nW0W1 = 0.; + if(mp*dSM1p1k-s1p1k) + { + two1n1nW0W1 = (p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k-s1p1k) + / (mp*dSM1p1k-s1p1k); + + // fill profile to get <<2'>> + fDiffFlowCorrelationsPro[t][pe][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],two1n1nW0W1,mp*dSM1p1k-s1p1k); + // histogram to store <2'> e-b-e (needed in some other methods): + fDiffFlowCorrelationsEBE[t][pe][0]->SetBinContent(b,two1n1nW0W1); + fDiffFlowEventWeightsForCorrelationsEBE[t][pe][0]->SetBinContent(b,mp*dSM1p1k-s1p1k); + } // end of if(mp*dSM1p1k-s1p1k) + + // 4'-particle correlation: + Double_t four1n1n1n1nW0W1W1W1 = 0.; + if(dM0111) + { + four1n1n1n1nW0W1W1W1 = ((pow(dReQ1n1k,2.)+pow(dImQ1n1k,2.))*(p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k) + - q2n1kRe*(pow(dReQ1n1k,2.)-pow(dImQ1n1k,2.)) + - 2.*q2n1kIm*dReQ1n1k*dImQ1n1k + - p1n0kRe*(dReQ1n1k*dReQ2n2k+dImQ1n1k*dImQ2n2k) + + p1n0kIm*(dImQ1n1k*dReQ2n2k-dReQ1n1k*dImQ2n2k) + - 2.*dSM1p2k*(p1n0kRe*dReQ1n1k+p1n0kIm*dImQ1n1k) + - 2.*(pow(dReQ1n1k,2.)+pow(dImQ1n1k,2.))*s1p1k + + 6.*(q1n2kRe*dReQ1n1k+q1n2kIm*dImQ1n1k) + + 1.*(q2n1kRe*dReQ2n2k+q2n1kIm*dImQ2n2k) + + 2.*(p1n0kRe*dReQ1n3k+p1n0kIm*dImQ1n3k) + + 2.*s1p1k*dSM1p2k + - 6.*s1p3k) + / dM0111; // to be improved (notation of dM0111) + + // fill profile to get <<4'>> + fDiffFlowCorrelationsPro[t][pe][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],four1n1n1n1nW0W1W1W1,dM0111); + // histogram to store <4'> e-b-e (needed in some other methods): + fDiffFlowCorrelationsEBE[t][pe][1]->SetBinContent(b,four1n1n1n1nW0W1W1W1); + fDiffFlowEventWeightsForCorrelationsEBE[t][pe][1]->SetBinContent(b,dM0111); + } // end of if(dM0111) + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrelationsUsingParticleWeights(TString type, TString ptOrEta); // type = RP or POI + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::FillCommonControlHistograms(AliFlowEventSimple *anEvent) +{ + // Fill common control histograms. + + Int_t nRP = anEvent->GetEventNSelTracksRP(); // number of RPs (i.e. number of particles used to determine the reaction plane) + fCommonHists->FillControlHistograms(anEvent); + if(nRP>1) + { + fCommonHists2nd->FillControlHistograms(anEvent); + if(nRP>3) + { + fCommonHists4th->FillControlHistograms(anEvent); + if(nRP>5) + { + fCommonHists6th->FillControlHistograms(anEvent); + if(nRP>7) + { + fCommonHists8th->FillControlHistograms(anEvent); + } // end of if(nRP>7) + } // end of if(nRP>5) + } // end of if(nRP>3) + } // end of if(nRP>1) + +} // end of void AliFlowAnalysisWithQCumulants::FillCommonControlHistograms(AliFlowEventSimple *anEvent) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::ResetEventByEventQuantities() +{ + // Reset all event by event quantities. + + // integrated flow: + fReQ->Zero(); + fImQ->Zero(); + fSMpk->Zero(); + fIntFlowCorrelationsEBE->Reset(); + fIntFlowEventWeightsForCorrelationsEBE->Reset(); + fIntFlowCorrelationsAllEBE->Reset(); + + if(fApplyCorrectionForNUA) + { + for(Int_t sc=0;sc<2;sc++) + { + fIntFlowCorrectionTermsForNUAEBE[sc]->Reset(); + fIntFlowEventWeightForCorrectionTermsForNUAEBE[sc]->Reset(); + } + } + + // differential flow: + // 1D: + for(Int_t t=0;t<3;t++) // type (RP, POI, POI&&RP) + { + for(Int_t pe=0;pe<2;pe++) // 1D in pt or eta + { + for(Int_t m=0;m<4;m++) // multiple of harmonic + { + for(Int_t k=0;k<9;k++) // power of weight + { + if(fReRPQ1dEBE[t][pe][m][k]) fReRPQ1dEBE[t][pe][m][k]->Reset(); + if(fImRPQ1dEBE[t][pe][m][k]) fImRPQ1dEBE[t][pe][m][k]->Reset(); + } + } + } + } + + for(Int_t t=0;t<3;t++) // type (0 = RP, 1 = POI, 2 = RP&&POI ) + { + for(Int_t pe=0;pe<2;pe++) // 1D in pt or eta + { + for(Int_t k=0;k<9;k++) + { + if(fs1dEBE[t][pe][k]) fs1dEBE[t][pe][k]->Reset(); + } + } + } + + // e-b-e reduced correlations: + for(Int_t t=0;t<2;t++) // type (0 = RP, 1 = POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t rci=0;rci<4;rci++) // reduced correlation index + { + if(fDiffFlowCorrelationsEBE[t][pe][rci]) fDiffFlowCorrelationsEBE[t][pe][rci]->Reset(); + if(fDiffFlowEventWeightsForCorrelationsEBE[t][pe][rci]) fDiffFlowEventWeightsForCorrelationsEBE[t][pe][rci]->Reset(); + } + } + } + + // correction terms for NUA: + for(Int_t t=0;t<2;t++) // type (0 = RP, 1 = POI) + { + for(Int_t pe=0;pe<2;pe++) // pt or eta + { + for(Int_t sc=0;sc<2;sc++) // sin or cos + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + fDiffFlowCorrectionTermsForNUAEBE[t][pe][sc][cti]->Reset(); + } + } + } + } + + // 2D (pt,eta) + if(fCalculate2DFlow) + { + for(Int_t t=0;t<3;t++) // type (RP, POI, POI&&RP) + { + for(Int_t m=0;m<4;m++) // multiple of harmonic + { + for(Int_t k=0;k<9;k++) // power of weight + { + if(fReRPQ2dEBE[t][m][k]) fReRPQ2dEBE[t][m][k]->Reset(); + if(fImRPQ2dEBE[t][m][k]) fImRPQ2dEBE[t][m][k]->Reset(); + } + } + } + for(Int_t t=0;t<3;t++) // type (0 = RP, 1 = POI, 2 = RP&&POI ) + { + for(Int_t k=0;k<9;k++) + { + if(fs2dEBE[t][k]) fs2dEBE[t][k]->Reset(); + } + } + } // end of if(fCalculate2DFlow) + +} // end of void AliFlowAnalysisWithQCumulants::ResetEventByEventQuantities(); + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectionsForNUASinTerms(TString type, TString ptOrEta) +{ + // Calculate correction terms for non-uniform acceptance for differential flow (sin terms). + + // Results are stored in fDiffFlowCorrectionTermsForNUAPro[t][pe][0][cti], where cti runs as follows: + // 0: <> + // 1: <> + // 2: <> + // 3: <>: + // 4: + // 5: + // 6: + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n = (*fReQ)(0,0); + Double_t dReQ2n = (*fReQ)(1,0); + //Double_t dReQ3n = (*fReQ)(2,0); + //Double_t dReQ4n = (*fReQ)(3,0); + Double_t dImQ1n = (*fImQ)(0,0); + Double_t dImQ2n = (*fImQ)(1,0); + //Double_t dImQ3n = (*fImQ)(2,0); + //Double_t dImQ4n = (*fImQ)(3,0); + + Int_t t = -1; // type flag + Int_t pe = -1; // ptEta flag + + if(type == "RP") + { + t = 0; + } else if(type == "POI") + { + t = 1; + } + + if(ptOrEta == "Pt") + { + pe = 0; + } else if(ptOrEta == "Eta") + { + pe = 1; + } + + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // looping over all bins and calculating correction terms: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular pt or eta bin): + Double_t p1n0kRe = 0.; + Double_t p1n0kIm = 0.; + + // number of POIs in particular pt or eta bin: + Double_t mp = 0.; + + // real and imaginary parts of q_{m*n,0} (non-weighted Q-vector evaluated for particles which are both RPs and POIs in particular pt or eta bin): + Double_t q1n0kRe = 0.; + Double_t q1n0kIm = 0.; + Double_t q2n0kRe = 0.; + Double_t q2n0kIm = 0.; + + // number of particles which are both RPs and POIs in particular pt or eta bin: + Double_t mq = 0.; + + if(type == "POI") + { + // q_{m*n,0}: + q1n0kRe = fReRPQ1dEBE[2][pe][0][0]->GetBinContent(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); + q1n0kIm = fImRPQ1dEBE[2][pe][0][0]->GetBinContent(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[2][pe][0][0]->GetBinEntries(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)); + q2n0kRe = fReRPQ1dEBE[2][pe][1][0]->GetBinContent(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)) + * fReRPQ1dEBE[2][pe][1][0]->GetBinEntries(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)); + q2n0kIm = fImRPQ1dEBE[2][pe][1][0]->GetBinContent(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)) + * fImRPQ1dEBE[2][pe][1][0]->GetBinEntries(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)); + + mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + } + else if(type == "RP") + { + // q_{m*n,0}: + q1n0kRe = fReRPQ1dEBE[0][pe][0][0]->GetBinContent(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); + q1n0kIm = fImRPQ1dEBE[0][pe][0][0]->GetBinContent(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][0]->GetBinEntries(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)); + q2n0kRe = fReRPQ1dEBE[0][pe][1][0]->GetBinContent(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][1][0]->GetBinEntries(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)); + q2n0kIm = fImRPQ1dEBE[0][pe][1][0]->GetBinContent(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][1][0]->GetBinEntries(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)); + + mq = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + } + if(type == "POI") + { + // p_{m*n,0}: + p1n0kRe = fReRPQ1dEBE[1][pe][0][0]->GetBinContent(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[1][pe][0][0]->GetBinContent(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[1][pe][0][0]->GetBinEntries(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)); + + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + + t = 1; // typeFlag = RP or POI + } + else if(type == "RP") + { + // p_{m*n,0} = q_{m*n,0}: + p1n0kRe = q1n0kRe; + p1n0kIm = q1n0kIm; + + mp = mq; + + t = 0; // typeFlag = RP or POI + } + + // <>: + Double_t sinP1nPsi = 0.; + if(mp) + { + sinP1nPsi = p1n0kIm/mp; + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsi,mp); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][0]->SetBinContent(b,sinP1nPsi); + } // end of if(mp) + + // <>: + Double_t sinP1nPsiP1nPhi = 0.; + if(mp*dMult-mq) + { + sinP1nPsiP1nPhi = (p1n0kRe*dImQ1n+p1n0kIm*dReQ1n-q2n0kIm)/(mp*dMult-mq); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsiP1nPhi,mp*dMult-mq); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][1]->SetBinContent(b,sinP1nPsiP1nPhi); + } // end of if(mp*dMult-mq) + + // <>: + Double_t sinP1nPsi1P1nPhi2MPhi3 = 0.; + if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + { + sinP1nPsi1P1nPhi2MPhi3 = (p1n0kIm*(pow(dImQ1n,2.)+pow(dReQ1n,2.)-dMult) + - 1.*(q2n0kIm*dReQ1n-q2n0kRe*dImQ1n) + - mq*dImQ1n+2.*q1n0kIm) + / (mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsi1P1nPhi2MPhi3,mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][2]->SetBinContent(b,sinP1nPsi1P1nPhi2MPhi3); + } // end of if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + + // <>: + Double_t sinP1nPsi1M1nPhi2MPhi3 = 0.; + if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + { + sinP1nPsi1M1nPhi2MPhi3 = (p1n0kIm*(pow(dReQ1n,2.)-pow(dImQ1n,2.))-2.*p1n0kRe*dReQ1n*dImQ1n + - 1.*(p1n0kIm*dReQ2n-p1n0kRe*dImQ2n) + + 2.*mq*dImQ1n-2.*q1n0kIm) + / (mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsi1M1nPhi2MPhi3,mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][3]->SetBinContent(b,sinP1nPsi1M1nPhi2MPhi3); + } // end of if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + +} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectionsForNUASinTerms(TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectionsForNUACosTerms(TString type, TString ptOrEta) +{ + // Calculate correction terms for non-uniform acceptance for differential flow (cos terms). + + // Results are stored in fDiffFlowCorrectionTermsForNUAPro[t][pe][1][cti], where cti runs as follows: + // 0: <> + // 1: <> + // 2: <> + // 3: <> + // 4: + // 5: + // 6: + + // multiplicity: + Double_t dMult = (*fSMpk)(0,0); + + // real and imaginary parts of non-weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n = (*fReQ)(0,0); + Double_t dReQ2n = (*fReQ)(1,0); + //Double_t dReQ3n = (*fReQ)(2,0); + //Double_t dReQ4n = (*fReQ)(3,0); + Double_t dImQ1n = (*fImQ)(0,0); + Double_t dImQ2n = (*fImQ)(1,0); + //Double_t dImQ3n = (*fImQ)(2,0); + //Double_t dImQ4n = (*fImQ)(3,0); + + Int_t t = -1; // type flag + Int_t pe = -1; // ptEta flag + + if(type == "RP") + { + t = 0; + } else if(type == "POI") + { + t = 1; + } + + if(ptOrEta == "Pt") + { + pe = 0; + } else if(ptOrEta == "Eta") + { + pe = 1; + } + + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // looping over all bins and calculating correction terms: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular pt or eta bin): + Double_t p1n0kRe = 0.; + Double_t p1n0kIm = 0.; + + // number of POIs in particular pt or eta bin: + Double_t mp = 0.; + + // real and imaginary parts of q_{m*n,0} (non-weighted Q-vector evaluated for particles which are both RPs and POIs in particular pt or eta bin): + Double_t q1n0kRe = 0.; + Double_t q1n0kIm = 0.; + Double_t q2n0kRe = 0.; + Double_t q2n0kIm = 0.; + + // number of particles which are both RPs and POIs in particular pt or eta bin: + Double_t mq = 0.; + + if(type == "POI") + { + // q_{m*n,0}: + q1n0kRe = fReRPQ1dEBE[2][pe][0][0]->GetBinContent(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); + q1n0kIm = fImRPQ1dEBE[2][pe][0][0]->GetBinContent(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[2][pe][0][0]->GetBinEntries(fImRPQ1dEBE[2][pe][0][0]->GetBin(b)); + q2n0kRe = fReRPQ1dEBE[2][pe][1][0]->GetBinContent(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)) + * fReRPQ1dEBE[2][pe][1][0]->GetBinEntries(fReRPQ1dEBE[2][pe][1][0]->GetBin(b)); + q2n0kIm = fImRPQ1dEBE[2][pe][1][0]->GetBinContent(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)) + * fImRPQ1dEBE[2][pe][1][0]->GetBinEntries(fImRPQ1dEBE[2][pe][1][0]->GetBin(b)); + + mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + } + else if(type == "RP") + { + // q_{m*n,0}: + q1n0kRe = fReRPQ1dEBE[0][pe][0][0]->GetBinContent(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); + q1n0kIm = fImRPQ1dEBE[0][pe][0][0]->GetBinContent(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][0]->GetBinEntries(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)); + q2n0kRe = fReRPQ1dEBE[0][pe][1][0]->GetBinContent(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][1][0]->GetBinEntries(fReRPQ1dEBE[0][pe][1][0]->GetBin(b)); + q2n0kIm = fImRPQ1dEBE[0][pe][1][0]->GetBinContent(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][1][0]->GetBinEntries(fImRPQ1dEBE[0][pe][1][0]->GetBin(b)); + + mq = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + } + if(type == "POI") + { + // p_{m*n,0}: + p1n0kRe = fReRPQ1dEBE[1][pe][0][0]->GetBinContent(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[1][pe][0][0]->GetBinContent(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[1][pe][0][0]->GetBinEntries(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)); + + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + + t = 1; // typeFlag = RP or POI + } + else if(type == "RP") + { + // p_{m*n,0} = q_{m*n,0}: + p1n0kRe = q1n0kRe; + p1n0kIm = q1n0kIm; + + mp = mq; + + t = 0; // typeFlag = RP or POI + } + + // <>: + Double_t cosP1nPsi = 0.; + if(mp) + { + cosP1nPsi = p1n0kRe/mp; + + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsi,mp); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][0]->SetBinContent(b,cosP1nPsi); + } // end of if(mp) + + // <>: + Double_t cosP1nPsiP1nPhi = 0.; + if(mp*dMult-mq) + { + cosP1nPsiP1nPhi = (p1n0kRe*dReQ1n-p1n0kIm*dImQ1n-q2n0kRe)/(mp*dMult-mq); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsiP1nPhi,mp*dMult-mq); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][1]->SetBinContent(b,cosP1nPsiP1nPhi); + } // end of if(mp*dMult-mq) + + // <>: + Double_t cosP1nPsi1P1nPhi2MPhi3 = 0.; + if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + { + cosP1nPsi1P1nPhi2MPhi3 = (p1n0kRe*(pow(dImQ1n,2.)+pow(dReQ1n,2.)-dMult) + - 1.*(q2n0kRe*dReQ1n+q2n0kIm*dImQ1n) + - mq*dReQ1n+2.*q1n0kRe) + / (mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsi1P1nPhi2MPhi3,mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][2]->SetBinContent(b,cosP1nPsi1P1nPhi2MPhi3); + } // end of if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + + // <>: + Double_t cosP1nPsi1M1nPhi2MPhi3 = 0.; + if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + { + cosP1nPsi1M1nPhi2MPhi3 = (p1n0kRe*(pow(dReQ1n,2.)-pow(dImQ1n,2.))+2.*p1n0kIm*dReQ1n*dImQ1n + - 1.*(p1n0kRe*dReQ2n+p1n0kIm*dImQ2n) + - 2.*mq*dReQ1n+2.*q1n0kRe) + / (mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsi1M1nPhi2MPhi3,mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][3]->SetBinContent(b,cosP1nPsi1M1nPhi2MPhi3); + } // end of if(mq*(dMult-1.)*(dMult-2.)+(mp-mq)*dMult*(dMult-1.)) + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + +} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectionsForNUACosTerms(TString type, TString ptOrEta) + + +//================================================================================================================================== + + +void AliFlowAnalysisWithQCumulants::FinalizeCorrectionTermsForNUADiffFlow(TString type, TString ptOrEta) +{ + // Transfer prolfiles into histogams and correctly propagate the error (to be improved: description) + + // to be improved: debugged - I do not correctly transfer all profiles into histos (bug appears only after merging) + + Int_t t = -1; // type flag + Int_t pe = -1; // ptEta flag + + if(type == "RP") + { + t = 0; + } else if(type == "POI") + { + t = 1; + } + + if(ptOrEta == "Pt") + { + pe = 0; + } else if(ptOrEta == "Eta") + { + pe = 1; + } + + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + //Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + //Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + for(Int_t sc=0;sc<2;sc++) // sin or cos + { + for(Int_t cti=0;cti<9;cti++) // correction term index + { + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + Double_t correctionTerm = fDiffFlowCorrectionTermsForNUAPro[t][pe][sc][cti]->GetBinContent(b); + fDiffFlowCorrectionTermsForNUAHist[t][pe][sc][cti]->SetBinContent(b,correctionTerm); + // to be improved (propagate error correctly) + // ... + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + } // correction term index + } // end of for(Int_t sc=0;sc<2;sc++) // sin or cos + +}// end of void AliFlowAnalysisWithQCumulants::FinalizeCorrectionTermsForNUADiffFlow(TString type, TString ptOrEta) + + +//================================================================================================================================== + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCumulantsCorrectedForNUA(TString type, TString ptOrEta) +{ + // Calculate generalized differential flow Q-cumulants (corrected for non-uniform acceptance) + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + // common: + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + + // 2-particle correlation: + Double_t two = fIntFlowCorrelationsHist->GetBinContent(1); // <<2>> + // sin term coming from integrated flow: + Double_t sinP1nPhi = fIntFlowCorrectionTermsForNUAHist[0]->GetBinContent(1); // <> + Double_t sinP1nPhi1P1nPhi2 = fIntFlowCorrectionTermsForNUAHist[0]->GetBinContent(2); // <> + Double_t sinP1nPhi1M1nPhi2M1nPhi3 = fIntFlowCorrectionTermsForNUAHist[0]->GetBinContent(3); // <> + // cos term coming from integrated flow: + Double_t cosP1nPhi = fIntFlowCorrectionTermsForNUAHist[1]->GetBinContent(1); // <> + Double_t cosP1nPhi1P1nPhi2 = fIntFlowCorrectionTermsForNUAHist[1]->GetBinContent(2); // <> + Double_t cosP1nPhi1M1nPhi2M1nPhi3 = fIntFlowCorrectionTermsForNUAHist[1]->GetBinContent(3); // <> + + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + Double_t twoPrime = fDiffFlowCorrelationsHist[t][pe][0]->GetBinContent(b); // <<2'>> + Double_t fourPrime = fDiffFlowCorrelationsHist[t][pe][1]->GetBinContent(b); // <<4'>> + Double_t sinP1nPsi = fDiffFlowCorrectionTermsForNUAHist[t][pe][0][0]->GetBinContent(b); // <> + Double_t cosP1nPsi = fDiffFlowCorrectionTermsForNUAHist[t][pe][1][0]->GetBinContent(b); // <> + Double_t sinP1nPsi1P1nPhi2 = fDiffFlowCorrectionTermsForNUAHist[t][pe][0][1]->GetBinContent(b); // <> + Double_t cosP1nPsi1P1nPhi2 = fDiffFlowCorrectionTermsForNUAHist[t][pe][1][1]->GetBinContent(b); // <> + Double_t sinP1nPsi1P1nPhi2M1nPhi3 = fDiffFlowCorrectionTermsForNUAHist[t][pe][0][2]->GetBinContent(b); // <> + Double_t cosP1nPsi1P1nPhi2M1nPhi3 = fDiffFlowCorrectionTermsForNUAHist[t][pe][1][2]->GetBinContent(b); // <> + Double_t sinP1nPsi1M1nPhi2M1nPhi3 = fDiffFlowCorrectionTermsForNUAHist[t][pe][0][3]->GetBinContent(b); // <> + Double_t cosP1nPsi1M1nPhi2M1nPhi3 = fDiffFlowCorrectionTermsForNUAHist[t][pe][1][3]->GetBinContent(b); // <> + // generalized QC{2'}: + Double_t qc2Prime = twoPrime - sinP1nPsi*sinP1nPhi - cosP1nPsi*cosP1nPhi; + fDiffFlowCumulants[t][pe][0]->SetBinContent(b,qc2Prime); + // generalized QC{4'}: + Double_t qc4Prime = fourPrime-2.*twoPrime*two + - cosP1nPsi*cosP1nPhi1M1nPhi2M1nPhi3 + + sinP1nPsi*sinP1nPhi1M1nPhi2M1nPhi3 + - cosP1nPhi*cosP1nPsi1M1nPhi2M1nPhi3 + + sinP1nPhi*sinP1nPsi1M1nPhi2M1nPhi3 + - 2.*cosP1nPhi*cosP1nPsi1P1nPhi2M1nPhi3 + - 2.*sinP1nPhi*sinP1nPsi1P1nPhi2M1nPhi3 + - cosP1nPsi1P1nPhi2*cosP1nPhi1P1nPhi2 + - sinP1nPsi1P1nPhi2*sinP1nPhi1P1nPhi2 + + 2.*cosP1nPhi1P1nPhi2*(cosP1nPsi*cosP1nPhi-sinP1nPsi*sinP1nPhi) + + 2.*sinP1nPhi1P1nPhi2*(cosP1nPsi*sinP1nPhi+sinP1nPsi*cosP1nPhi) + + 4.*two*(cosP1nPsi*cosP1nPhi+sinP1nPsi*sinP1nPhi) + + 2.*cosP1nPsi1P1nPhi2*(pow(cosP1nPhi,2.)-pow(sinP1nPhi,2.)) + + 4.*sinP1nPsi1P1nPhi2*cosP1nPhi*sinP1nPhi + + 4.*twoPrime*(pow(cosP1nPhi,2.)+pow(sinP1nPhi,2.)) + - 6.*(pow(cosP1nPhi,2.)-pow(sinP1nPhi,2.)) + * (cosP1nPsi*cosP1nPhi-sinP1nPsi*sinP1nPhi) + - 12.*cosP1nPhi*sinP1nPhi + * (sinP1nPsi*cosP1nPhi+cosP1nPsi*sinP1nPhi); + fDiffFlowCumulants[t][pe][1]->SetBinContent(b,qc4Prime); + } // end of for(Int_t p=1;p<=fnBinsPt;p++) + +} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlowCumulantsCorrectedForNUA(TString type, TString ptOrEta) + + +//================================================================================================================================== + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectedForNUA(TString type, TString ptOrEta) +{ + // Calculate differential flow corrected for non-uniform acceptance. + + // to be improved (rewritten completely) + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + // common: + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + + // to be improved: access here generalized QC{2} and QC{4} instead: + Double_t dV2 = fIntFlow->GetBinContent(1); + Double_t dV4 = fIntFlow->GetBinContent(2); + + // loop over pt or eta bins: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // generalized QC{2'}: + Double_t gQC2Prime = fDiffFlowCumulants[t][pe][0]->GetBinContent(b); + // v'{2}: + if(dV2>0) + { + Double_t v2Prime = gQC2Prime/dV2; + fDiffFlow[t][pe][0]->SetBinContent(b,v2Prime); + } + // generalized QC{4'}: + Double_t gQC4Prime = fDiffFlowCumulants[t][pe][1]->GetBinContent(b); + // v'{4}: + if(dV4>0) + { + Double_t v4Prime = -gQC4Prime/pow(dV4,3.); + fDiffFlow[t][pe][1]->SetBinContent(b,v4Prime); + } + } // end of for(Int_t b=1;b<=fnBinsPtEta[pe];b++) + +} // end of void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectedForNUA(TString type, TString ptOrEta); + + +//================================================================================================================================== + + +void AliFlowAnalysisWithQCumulants::EvaluateIntFlowCorrelationsWithNestedLoops(AliFlowEventSimple * const anEvent) +{ + // Evaluate with nested loops multiparticle correlations for integrated flow (without using the particle weights). + + // Remark: Results are stored in profile fIntFlowDirectCorrelations whose binning is organized as follows: + // + // 1st bin: <2>_{1n|1n} = two1n1n = cos(n*(phi1-phi2))> + // 2nd bin: <2>_{2n|2n} = two2n2n = cos(2n*(phi1-phi2))> + // 3rd bin: <2>_{3n|3n} = two3n3n = cos(3n*(phi1-phi2))> + // 4th bin: <2>_{4n|4n} = two4n4n = cos(4n*(phi1-phi2))> + // 5th bin: ---- EMPTY ---- + // 6th bin: <3>_{2n|1n,1n} = three2n1n1n = + // 7th bin: <3>_{3n|2n,1n} = three3n2n1n = + // 8th bin: <3>_{4n|2n,2n} = three4n2n2n = + // 9th bin: <3>_{4n|3n,1n} = three4n3n1n = + // 10th bin: ---- EMPTY ---- + // 11th bin: <4>_{1n,1n|1n,1n} = four1n1n1n1n = + // 12th bin: <4>_{2n,1n|2n,1n} = four2n1n2n1n = + // 13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n = + // 14th bin: <4>_{3n|1n,1n,1n} = four3n1n1n1n = + // 15th bin: <4>_{3n,1n|3n,1n} = four3n1n3n1n = + // 16th bin: <4>_{3n,1n|2n,2n} = four3n1n2n2n = + // 17th bin: <4>_{4n|2n,1n,1n} = four4n2n1n1n = + // 18th bin: ---- EMPTY ---- + // 19th bin: <5>_{2n|1n,1n,1n,1n} = five2n1n1n1n1n = + // 20th bin: <5>_{2n,2n|2n,1n,1n} = five2n2n2n1n1n = + // 21st bin: <5>_{3n,1n|2n,1n,1n} = five3n1n2n1n1n = + // 22nd bin: <5>_{4n|1n,1n,1n,1n} = five4n1n1n1n1n = + // 23rd bin: ---- EMPTY ---- + // 24th bin: <6>_{1n,1n,1n|1n,1n,1n} = six1n1n1n1n1n1n = + // 25th bin: <6>_{2n,1n,1n|2n,1n,1n} = six2n1n1n2n1n1n = + // 26th bin: <6>_{2n,2n|1n,1n,1n,1n} = six2n2n1n1n1n1n = + // 27th bin: <6>_{3n,1n|1n,1n,1n,1n} = six3n1n1n1n1n1n = + // 28th bin: ---- EMPTY ---- + // 29th bin: <7>_{2n,1n,1n|1n,1n,1n,1n} = seven2n1n1n1n1n1n1n = + // 30th bin: ---- EMPTY ---- + // 31st bin: <8>_{1n,1n,1n,1n|1n,1n,1n,1n} = eight1n1n1n1n1n1n1n1n = + + Int_t nPrim = anEvent->NumberOfTracks(); + AliFlowTrackSimple *aftsTrack = NULL; + Double_t phi1=0., phi2=0., phi3=0., phi4=0., phi5=0., phi6=0., phi7=0., phi8=0.; + Int_t n = fHarmonic; + Int_t eventNo = (Int_t)fAvMultiplicity->GetBinEntries(1); // to be improved (is this casting safe in general?) + Double_t dMult = (*fSMpk)(0,0); + cout<fMaxAllowedMultiplicity) + { + cout<<"... skipping this event (multiplicity too high) ..."<=2 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(nPrim==2) cout<Fill(0.5,cos(n*(phi1-phi2)),1.); // + fIntFlowDirectCorrelations->Fill(1.5,cos(2.*n*(phi1-phi2)),1.); // + fIntFlowDirectCorrelations->Fill(2.5,cos(3.*n*(phi1-phi2)),1.); // + fIntFlowDirectCorrelations->Fill(3.5,cos(4.*n*(phi1-phi2)),1.); // + } // end of for(Int_t i2=0;i2=2) + + // 3-particle correlations: + if(nPrim>=3 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(nPrim==3) cout<Fill(5.,cos(2.*n*phi1-n*(phi2+phi3)),1.); //<3>_{2n|nn,n} + fIntFlowDirectCorrelations->Fill(6.,cos(3.*n*phi1-2.*n*phi2-n*phi3),1.); //<3>_{3n|2n,n} + fIntFlowDirectCorrelations->Fill(7.,cos(4.*n*phi1-2.*n*phi2-2.*n*phi3),1.); //<3>_{4n|2n,2n} + fIntFlowDirectCorrelations->Fill(8.,cos(4.*n*phi1-3.*n*phi2-n*phi3),1.); //<3>_{4n|3n,n} + } // end of for(Int_t i3=0;i3=3) + + // 4-particle correlations: + if(nPrim>=4 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + for(Int_t i4=0;i4GetTrack(i4); + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + if(nPrim==4) cout<Fill(10.,cos(n*phi1+n*phi2-n*phi3-n*phi4),1.); // <4>_{n,n|n,n} + fIntFlowDirectCorrelations->Fill(11.,cos(2.*n*phi1+n*phi2-2.*n*phi3-n*phi4),1.); // <4>_{2n,n|2n,n} + fIntFlowDirectCorrelations->Fill(12.,cos(2.*n*phi1+2*n*phi2-2.*n*phi3-2.*n*phi4),1.); // <4>_{2n,2n|2n,2n} + fIntFlowDirectCorrelations->Fill(13.,cos(3.*n*phi1-n*phi2-n*phi3-n*phi4),1.); // <4>_{3n|n,n,n} + fIntFlowDirectCorrelations->Fill(14.,cos(3.*n*phi1+n*phi2-3.*n*phi3-n*phi4),1.); // <4>_{3n,n|3n,n} + fIntFlowDirectCorrelations->Fill(15.,cos(3.*n*phi1+n*phi2-2.*n*phi3-2.*n*phi4),1.); // <4>_{3n,n|2n,2n} + fIntFlowDirectCorrelations->Fill(16.,cos(4.*n*phi1-2.*n*phi2-n*phi3-n*phi4),1.); // <4>_{4n|2n,n,n} + } // end of for(Int_t i4=0;i4=) + + // 5-particle correlations: + if(nPrim>=5 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + for(Int_t i4=0;i4GetTrack(i4); + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + for(Int_t i5=0;i5GetTrack(i5); + if(!(aftsTrack->InRPSelection())) continue; + phi5=aftsTrack->Phi(); + if(nPrim==5) cout<Fill(18.,cos(2.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5),1.); //<5>_{2n,n|n,n,n} + fIntFlowDirectCorrelations->Fill(19.,cos(2.*n*phi1+2.*n*phi2-2.*n*phi3-n*phi4-n*phi5),1.); //<5>_{2n,2n|2n,n,n} + fIntFlowDirectCorrelations->Fill(20.,cos(3.*n*phi1+n*phi2-2.*n*phi3-n*phi4-n*phi5),1.); //<5>_{3n,n|2n,n,n} + fIntFlowDirectCorrelations->Fill(21.,cos(4.*n*phi1-n*phi2-n*phi3-n*phi4-n*phi5),1.); //<5>_{4n|n,n,n,n} + } // end of for(Int_t i5=0;i5=5) + + // 6-particle correlations: + if(nPrim>=6 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + for(Int_t i4=0;i4GetTrack(i4); + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + for(Int_t i5=0;i5GetTrack(i5); + if(!(aftsTrack->InRPSelection())) continue; + phi5=aftsTrack->Phi(); + for(Int_t i6=0;i6GetTrack(i6); + if(!(aftsTrack->InRPSelection())) continue; + phi6=aftsTrack->Phi(); + if(nPrim==6) cout<Fill(23.,cos(n*phi1+n*phi2+n*phi3-n*phi4-n*phi5-n*phi6),1.); //<6>_{n,n,n|n,n,n} + fIntFlowDirectCorrelations->Fill(24.,cos(2.*n*phi1+n*phi2+n*phi3-2.*n*phi4-n*phi5-n*phi6),1.); //<6>_{2n,n,n|2n,n,n} + fIntFlowDirectCorrelations->Fill(25.,cos(2.*n*phi1+2.*n*phi2-n*phi3-n*phi4-n*phi5-n*phi6),1.); //<6>_{2n,2n|n,n,n,n} + fIntFlowDirectCorrelations->Fill(26.,cos(3.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5-n*phi6),1.); //<6>_{3n,n|n,n,n,n} + } // end of for(Int_t i6=0;i6=6) + + // 7-particle correlations: + if(nPrim>=7 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + for(Int_t i4=0;i4GetTrack(i4); + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + for(Int_t i5=0;i5GetTrack(i5); + if(!(aftsTrack->InRPSelection())) continue; + phi5=aftsTrack->Phi(); + for(Int_t i6=0;i6GetTrack(i6); + if(!(aftsTrack->InRPSelection())) continue; + phi6=aftsTrack->Phi(); + for(Int_t i7=0;i7GetTrack(i7); + if(!(aftsTrack->InRPSelection())) continue; + phi7=aftsTrack->Phi(); + if(nPrim==7) cout<Fill(28.,cos(2.*n*phi1+n*phi2+n*phi3-n*phi4-n*phi5-n*phi6-n*phi7),1.); // <7>_{2n,n,n|n,n,n,n} + } // end of for(Int_t i7=0;i7=7) + + // 8-particle correlations: + if(nPrim>=8 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + for(Int_t i4=0;i4GetTrack(i4); + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + for(Int_t i5=0;i5GetTrack(i5); + if(!(aftsTrack->InRPSelection())) continue; + phi5=aftsTrack->Phi(); + for(Int_t i6=0;i6GetTrack(i6); + if(!(aftsTrack->InRPSelection())) continue; + phi6=aftsTrack->Phi(); + for(Int_t i7=0;i7GetTrack(i7); + if(!(aftsTrack->InRPSelection())) continue; + phi7=aftsTrack->Phi(); + for(Int_t i8=0;i8GetTrack(i8); + if(!(aftsTrack->InRPSelection())) continue; + phi8=aftsTrack->Phi(); + cout<Fill(30.,cos(n*phi1+n*phi2+n*phi3+n*phi4-n*phi5-n*phi6-n*phi7-n*phi8),1.); // <8>_{n,n,n,n|n,n,n,n} + } // end of for(Int_t i8=0;i8=8) + + cout<GetXaxis())->GetBinLabel(ci), "") == 0) continue; // to be improved (access finalized histogram here) + cout<<(fIntFlowCorrelationsAllPro->GetXaxis())->GetBinLabel(ci)<<":"<GetXaxis())->GetBinLabel(ci), "") == 0) continue; // to be improved (access finalized histogram here) + cout<<(fIntFlowCorrectionTermsForNUAPro[sc]->GetXaxis())->GetBinLabel(ci)<<":"<fMaxAllowedMultiplicity) + { + cout<<"... skipping this event (multiplicity too high) ..."<=2 && nPrim<=fMaxAllowedMultiplicity) + { + // 2 nested loops multiparticle correlations using particle weights: + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + if(nPrim==2) cout<Fill(0.5,cos(n*(phi1-phi2)),wPhi1*wPhi2); // + if(fUsePhiWeights) fIntFlowDirectCorrelations->Fill(1.5,cos(2.*n*(phi1-phi2)),pow(wPhi1,2)*pow(wPhi2,2)); // + if(fUsePhiWeights) fIntFlowDirectCorrelations->Fill(2.5,cos(3.*n*(phi1-phi2)),pow(wPhi1,3)*pow(wPhi2,3)); // + if(fUsePhiWeights) fIntFlowDirectCorrelations->Fill(3.5,cos(4.*n*(phi1-phi2)),pow(wPhi1,4)*pow(wPhi2,4)); // + // extra correlations: + // 2-p extra correlations (do not appear if particle weights are not used): + if(fUsePhiWeights) fIntFlowExtraDirectCorrelations->Fill(0.5,cos(n*(phi1-phi2)),pow(wPhi1,3)*wPhi2); // + // ... + } // end of for(Int_t i2=0;i2=2) + + if(nPrim>=3 && nPrim<=fMaxAllowedMultiplicity) + { + // 3 nested loops multiparticle correlations using particle weights: + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); + if(nPrim==3) cout<Fill(5.5,cos(2.*n*phi1-n*(phi2+phi3)),pow(wPhi1,2)*wPhi2*wPhi3); // + // ... + // extra correlations: + // 2-p extra correlations (do not appear if particle weights are not used): + if(fUsePhiWeights) fIntFlowExtraDirectCorrelations->Fill(1.5,cos(n*(phi1-phi2)),wPhi1*wPhi2*pow(wPhi3,2)); // + // ... + // 3-p extra correlations (do not appear if particle weights are not used): + // ... + } // end of for(Int_t i3=0;i3=3) + + if(nPrim>=4 && nPrim<=fMaxAllowedMultiplicity) + { + // 4 nested loops multiparticle correlations using particle weights: + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i4=0;i4GetTrack(i4); + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi()))); + if(nPrim>=4) cout<Fill(10.5,cos(n*phi1+n*phi2-n*phi3-n*phi4),wPhi1*wPhi2*wPhi3*wPhi4); + // extra correlations: + // 2-p extra correlations (do not appear if particle weights are not used): + // ... + // 3-p extra correlations (do not appear if particle weights are not used): + // ... + // 4-p extra correlations (do not appear if particle weights are not used): + // ... + } // end of for(Int_t i4=0;i4=4) + + cout<GetXaxis())->GetBinLabel(eci), "") == 0) continue; + cout<<(fIntFlowExtraCorrelationsPro->GetXaxis())->GetBinLabel(eci)<<":"<fMaxAllowedMultiplicity) + { + cout<<"... skipping this event (multiplicity too high) ..."<=1 && nPrim<=fMaxAllowedMultiplicity) + { + // 1-particle correction terms for non-uniform acceptance: + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(nPrim==1) cout<Fill(0.5,sin(n*phi1),1.); // + // cos terms: + fIntFlowDirectCorrectionTermsForNUA[1]->Fill(0.5,cos(n*phi1),1.); // + } // end of for(Int_t i1=0;i1=1) + + if(nPrim>=2 && nPrim<=fMaxAllowedMultiplicity) + { + // 2-particle correction terms for non-uniform acceptance: + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(nPrim==2) cout<Fill(1.5,sin(n*(phi1+phi2)),1.); // <> + fIntFlowDirectCorrectionTermsForNUA[0]->Fill(3.5,sin(n*(2*phi1-phi2)),1.); // <> + // cos terms: + fIntFlowDirectCorrectionTermsForNUA[1]->Fill(1.5,cos(n*(phi1+phi2)),1.); // <> + fIntFlowDirectCorrectionTermsForNUA[1]->Fill(3.5,cos(n*(2*phi1-phi2)),1.); // <> + } // end of for(Int_t i2=0;i2=2) + + if(nPrim>=3 && nPrim<=fMaxAllowedMultiplicity) + { + // 3-particle correction terms for non-uniform acceptance: + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(nPrim>=3) cout<Fill(2.5,sin(n*(phi1-phi2-phi3)),1.); // <> + // cos terms: + fIntFlowDirectCorrectionTermsForNUA[1]->Fill(2.5,cos(n*(phi1-phi2-phi3)),1.); // <> + } // end of for(Int_t i3=0;i3=3) + + cout<,1=<4'>,2=<6'>,3=<8'>] + // Remark 3: <2'> = + // <4'> = + // ... + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + Double_t lowerPtEtaEdge[2] = {fPtMin+(fCrossCheckInPtBinNo-1)*fPtBinWidth,fEtaMin+(fCrossCheckInEtaBinNo-1)*fEtaBinWidth}; + Double_t upperPtEtaEdge[2] = {fPtMin+fCrossCheckInPtBinNo*fPtBinWidth,fEtaMin+fCrossCheckInEtaBinNo*fEtaBinWidth}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + Int_t nPrim = anEvent->NumberOfTracks(); + AliFlowTrackSimple *aftsTrack = NULL; + + Double_t psi1=0., phi2=0., phi3=0., phi4=0.;// phi5=0., phi6=0., phi7=0., phi8=0.; + + Int_t n = fHarmonic; + + // 2'-particle correlations: + for(Int_t i1=0;i1GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection()))continue; + phi2=aftsTrack->Phi(); + // 2'-particle correlations: + fDiffFlowDirectCorrelations[t][pe][0]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(1.*n*(psi1-phi2)),1.); // GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + // to be improved : where to store it? ->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(2.*phi1-phi2-phi3)),1.); // + }//end of for(Int_t i3=0;i3GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + for(Int_t i4=0;i4GetTrack(i4); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + // 4'-particle correlations: + fDiffFlowDirectCorrelations[t][pe][1]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1+phi2-phi3-phi4)),1.); // + }//end of for(Int_t i4=0;i4GetTrack(i); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + if(t==1)t++; + fNoOfParticlesInBin->Fill(t+pe+0.5); + } + +} // end of void AliFlowAnalysisWithQCumulants::EvaluateDiffFlowCorrelationsWithNestedLoops(AliFlowEventSimple* anEvent, TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CrossCheckDiffFlowCorrelations(TString type, TString ptOrEta) +{ + // Compare correlations needed for diff. flow calculated with nested loops and those calculated from Q-vectors + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + TString rpORpoiString[2] = {"RP ","POI"}; // to be improved (name in the same way as in the other methods, eventually promote to data member) + TString ptORetaString[2] = {"pt","eta"}; // to be improved (name in the same way as in the other methods, eventually promote to data member) + TString reducedCorrelations[4] = {"<>","<>","",""}; // to be improved (access this from pro or hist) + Double_t lowerPtEtaEdge[2] = {fPtMin+(fCrossCheckInPtBinNo-1)*fPtBinWidth,fEtaMin+(fCrossCheckInEtaBinNo-1)*fEtaBinWidth}; + Double_t upperPtEtaEdge[2] = {fPtMin+fCrossCheckInPtBinNo*fPtBinWidth,fEtaMin+fCrossCheckInEtaBinNo*fEtaBinWidth}; + + Int_t crossCheckInPtEtaBinNo[2] = {fCrossCheckInPtBinNo,fCrossCheckInEtaBinNo}; + + + cout<NumberOfTracks(); + AliFlowTrackSimple *aftsTrack = NULL; + + Double_t psi1=0., phi2=0., phi3=0., phi4=0.;// phi5=0., phi6=0., phi7=0., phi8=0.; + Double_t wPhi2=1., wPhi3=1., wPhi4=1.;// wPhi5=1., wPhi6=1., wPhi7=1., wPhi8=1.; + + Int_t n = fHarmonic; + + // 2'-particle correlations: + for(Int_t i1=0;i1GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + // 2'-particle correlations: + fDiffFlowDirectCorrelations[t][pe][0]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(1.*n*(psi1-phi2)),wPhi2); // GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i3=0;i3GetTrack(i3); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i4=0;i4GetTrack(i4); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi()))); + // 4'-particle correlations : + fDiffFlowDirectCorrelations[t][pe][1]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1+phi2-phi3-phi4)),wPhi2*wPhi3*wPhi4); + }//end of for(Int_t i4=0;i4GetTrack(i); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + if(t==1)t++; + fNoOfParticlesInBin->Fill(t+pe+0.5); + } + +} // end of void AliFlowAnalysisWithQCumulants::EvaluateDiffFlowCorrelationsWithNestedLoopsUsingParticleWeights(AliFlowEventSimple* anEvent, TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoops(AliFlowEventSimple * const anEvent, TString type, TString ptOrEta) +{ + // Evaluate with nested loops correction terms for non-uniform acceptance (both sin and cos terms) relevant for differential flow. + + // Remark 1: Reduced correction terms for non-uniform acceptance are evaluated in pt bin number fCrossCheckInPtBinNo + // and eta bin number fCrossCheckInEtaBinNo both for RPs and POIs. + // Remark 2: Results are stored in 1 bin profiles fDiffFlowDirectCorrections[t][pe][sc][cti], where first three indices runs as: + // [0=RP,1=POI][0=Pt,1=Eta][0=sin terms,1=cos terms], whilst the cti (correction term index) runs as follows: + // cti: + // 0: <> + // 1: <> + // 2: <> + // 3: <> + // 4: + // 5: + // 6: + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + Double_t lowerPtEtaEdge[2] = {fPtMin+(fCrossCheckInPtBinNo-1)*fPtBinWidth,fEtaMin+(fCrossCheckInEtaBinNo-1)*fEtaBinWidth}; + Double_t upperPtEtaEdge[2] = {fPtMin+fCrossCheckInPtBinNo*fPtBinWidth,fEtaMin+fCrossCheckInEtaBinNo*fEtaBinWidth}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + Int_t nPrim = anEvent->NumberOfTracks(); + AliFlowTrackSimple *aftsTrack = NULL; + + Double_t psi1=0., phi2=0., phi3=0.;// phi4=0.;// phi5=0., phi6=0., phi7=0., phi8=0.; + + Int_t n = fHarmonic; + + // 1-particle correction terms: + for(Int_t i1=0;i1GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + // sin terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][0]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*psi1),1.); // <> + // cos terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][0]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*psi1),1.); // <> + }//end of for(Int_t i1=0;i1GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + // sin terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][1]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*(psi1+phi2)),1.); // <> + // cos terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][1]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1+phi2)),1.); // <> + }//end of for(Int_t i2=0;i2GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + for(Int_t i3=0;i3GetTrack(i3); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + // sin terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][2]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*(psi1+phi2-phi3)),1.); // <> + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][3]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*(psi1-phi2-phi3)),1.); // <> + // cos terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][2]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1+phi2-phi3)),1.); // <> + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][3]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1-phi2-phi3)),1.); // <> + }//end of for(Int_t i3=0;i3>","<>","<>","<>"}; // to be improved (access this from pro or hist) + TString reducedCorrectionCosTerms[4] = {"<>","<>","<>","<>"}; // to be improved (access this from pro or hist) + Double_t lowerPtEtaEdge[2] = {fPtMin+(fCrossCheckInPtBinNo-1)*fPtBinWidth,fEtaMin+(fCrossCheckInEtaBinNo-1)*fEtaBinWidth}; + Double_t upperPtEtaEdge[2] = {fPtMin+fCrossCheckInPtBinNo*fPtBinWidth,fEtaMin+fCrossCheckInEtaBinNo*fEtaBinWidth}; + + Int_t crossCheckInPtEtaBinNo[2] = {fCrossCheckInPtBinNo,fCrossCheckInEtaBinNo}; + + cout<fMaxAllowedMultiplicity) + { + cout<<"... skipping this event (multiplicity too high) ..."<=1 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); + // 1-particle correction terms using particle weights: + if(fUsePhiWeights) fIntFlowDirectCorrectionTermsForNUA[0]->Fill(0.5,sin(n*phi1),wPhi1); // + if(fUsePhiWeights) fIntFlowDirectCorrectionTermsForNUA[1]->Fill(0.5,cos(n*phi1),wPhi1); // + } // end of for(Int_t i1=0;i1=1 && nPrim<=fMaxAllowedMultiplicity) + + // 2-particle correction terms using particle weights: + if(nPrim>=2 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + if(nPrim==2) cout<Fill(1.5,sin(n*(phi1+phi2)),wPhi1*wPhi2); // + if(fUsePhiWeights) fIntFlowDirectCorrectionTermsForNUA[1]->Fill(1.5,cos(n*(phi1+phi2)),wPhi1*wPhi2); // + } // end of for(Int_t i2=0;i2=2) + + // 3-particle correction terms using particle weights: + if(nPrim>=3 && nPrim<=fMaxAllowedMultiplicity) + { + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); + if(nPrim==3) cout<Fill(2.5,sin(n*(phi1-phi2-phi3)),wPhi1*wPhi2*wPhi3); // + if(fUsePhiWeights) fIntFlowDirectCorrectionTermsForNUA[1]->Fill(2.5,cos(n*(phi1-phi2-phi3)),wPhi1*wPhi2*wPhi3); // + } // end of for(Int_t i3=0;i3=3) + + /* + + if(nPrim>=4 && nPrim<=fMaxAllowedMultiplicity) + { + // 4 nested loops multiparticle correlations using particle weights: + for(Int_t i1=0;i1GetTrack(i1); + if(!(aftsTrack->InRPSelection())) continue; + phi1=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi1 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi1*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i2=0;i2GetTrack(i2); + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i3=0;i3GetTrack(i3); + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i4=0;i4GetTrack(i4); + if(!(aftsTrack->InRPSelection())) continue; + phi4=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi()))); + if(nPrim>=4) cout<Fill(10.5,cos(n*phi1+n*phi2-n*phi3-n*phi4),wPhi1*wPhi2*wPhi3*wPhi4); + // extra correlations: + // 2-p extra correlations (do not appear if particle weights are not used): + // ... + // 3-p extra correlations (do not appear if particle weights are not used): + // ... + // 4-p extra correlations (do not appear if particle weights are not used): + // ... + } // end of for(Int_t i4=0;i4=4) + + */ + + cout<> + // 1: <> + // 2: <> + // 3: <> + // 4: + // 5: + // 6: + + // real and imaginary parts of weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n1k = (*fReQ)(0,1); + Double_t dReQ2n2k = (*fReQ)(1,2); + //Double_t dReQ1n3k = (*fReQ)(0,3); + //Double_t dReQ4n4k = (*fReQ)(3,4); + Double_t dImQ1n1k = (*fImQ)(0,1); + Double_t dImQ2n2k = (*fImQ)(1,2); + //Double_t dImQ1n3k = (*fImQ)(0,3); + //Double_t dImQ4n4k = (*fImQ)(3,4); + + // S^M_{p,k} (see .h file for the definition of fSMpk): + Double_t dSM1p1k = (*fSMpk)(0,1); + Double_t dSM1p2k = (*fSMpk)(0,2); + Double_t dSM2p1k = (*fSMpk)(1,1); + + Int_t t = -1; // type flag + Int_t pe = -1; // ptEta flag + + if(type == "RP") + { + t = 0; + } else if(type == "POI") + { + t = 1; + } + + if(ptOrEta == "Pt") + { + pe = 0; + } else if(ptOrEta == "Eta") + { + pe = 1; + } + + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // looping over all bins and calculating correction terms: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular pt or eta bin): + Double_t p1n0kRe = 0.; + Double_t p1n0kIm = 0.; + + // number of POIs in particular pt or eta bin: + Double_t mp = 0.; + + // real and imaginary parts of q_{m*n,0} (weighted Q-vector evaluated for particles which are both RPs and POIs in particular pt or eta bin): + Double_t q1n2kRe = 0.; + Double_t q1n2kIm = 0.; + Double_t q2n1kRe = 0.; + Double_t q2n1kIm = 0.; + + // s_{1,1}, s_{1,2} // to be improved (add explanation) + Double_t s1p1k = 0.; + Double_t s1p2k = 0.; + + // number of particles which are both RPs and POIs in particular pt or eta bin: + Double_t mq = 0.; + + // M0111 from Eq. (118) in QC2c (to be improved (notation)) + Double_t dM01 = 0.; + Double_t dM011 = 0.; + + if(type == "POI") + { + // q_{m*n,k}: + q1n2kRe = fReRPQ1dEBE[2][pe][0][2]->GetBinContent(fReRPQ1dEBE[2][pe][0][2]->GetBin(b)) + * fReRPQ1dEBE[2][pe][0][2]->GetBinEntries(fReRPQ1dEBE[2][pe][0][2]->GetBin(b)); + q1n2kIm = fImRPQ1dEBE[2][pe][0][2]->GetBinContent(fImRPQ1dEBE[2][pe][0][2]->GetBin(b)) + * fImRPQ1dEBE[2][pe][0][2]->GetBinEntries(fImRPQ1dEBE[2][pe][0][2]->GetBin(b)); + q2n1kRe = fReRPQ1dEBE[2][pe][1][1]->GetBinContent(fReRPQ1dEBE[2][pe][1][1]->GetBin(b)) + * fReRPQ1dEBE[2][pe][1][1]->GetBinEntries(fReRPQ1dEBE[2][pe][1][1]->GetBin(b)); + q2n1kIm = fImRPQ1dEBE[2][pe][1][1]->GetBinContent(fImRPQ1dEBE[2][pe][1][1]->GetBin(b)) + * fImRPQ1dEBE[2][pe][1][1]->GetBinEntries(fImRPQ1dEBE[2][pe][1][1]->GetBin(b)); + mq = fReRPQ1dEBE[2][pe][1][1]->GetBinEntries(fReRPQ1dEBE[2][pe][1][1]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + + s1p1k = pow(fs1dEBE[2][pe][1]->GetBinContent(b)*fs1dEBE[2][pe][1]->GetBinEntries(b),1.); + s1p2k = pow(fs1dEBE[2][pe][2]->GetBinContent(b)*fs1dEBE[2][pe][2]->GetBinEntries(b),1.); + }else if(type == "RP") + { + // q_{m*n,k}: (Remark: m=1 is 0, k=0 iz zero (to be improved!)) + q1n2kRe = fReRPQ1dEBE[0][pe][0][2]->GetBinContent(fReRPQ1dEBE[0][pe][0][2]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][2]->GetBinEntries(fReRPQ1dEBE[0][pe][0][2]->GetBin(b)); + q1n2kIm = fImRPQ1dEBE[0][pe][0][2]->GetBinContent(fImRPQ1dEBE[0][pe][0][2]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][2]->GetBinEntries(fImRPQ1dEBE[0][pe][0][2]->GetBin(b)); + q2n1kRe = fReRPQ1dEBE[0][pe][1][1]->GetBinContent(fReRPQ1dEBE[0][pe][1][1]->GetBin(b)) + * fReRPQ1dEBE[0][pe][1][1]->GetBinEntries(fReRPQ1dEBE[0][pe][1][1]->GetBin(b)); + q2n1kIm = fImRPQ1dEBE[0][pe][1][1]->GetBinContent(fImRPQ1dEBE[0][pe][1][1]->GetBin(b)) + * fImRPQ1dEBE[0][pe][1][1]->GetBinEntries(fImRPQ1dEBE[0][pe][1][1]->GetBin(b)); + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + s1p1k = pow(fs1dEBE[0][pe][1]->GetBinContent(b)*fs1dEBE[0][pe][1]->GetBinEntries(b),1.); + s1p2k = pow(fs1dEBE[0][pe][2]->GetBinContent(b)*fs1dEBE[0][pe][2]->GetBinEntries(b),1.); + //s1p3k = pow(fs1dEBE[0][pe][3]->GetBinContent(b)*fs1dEBE[0][pe][3]->GetBinEntries(b),1.); + + mq = fReRPQ1dEBE[0][pe][1][1]->GetBinEntries(fReRPQ1dEBE[0][pe][1][1]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + } + + if(type == "POI") + { + // p_{m*n,k}: + p1n0kRe = fReRPQ1dEBE[1][pe][0][0]->GetBinContent(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[1][pe][0][0]->GetBinContent(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[1][pe][0][0]->GetBinEntries(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)); + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + // M01 from Eq. (118) in QC2c (to be improved (notation)): + dM01 = mp*dSM1p1k-s1p1k; + dM011 = mp*(dSM2p1k-dSM1p2k) + - 2.*(s1p1k*dSM1p1k-s1p2k); + + // typeFlag = RP (0) or POI (1): + t = 1; + } else if(type == "RP") + { + // to be improved (cross-checked): + p1n0kRe = fReRPQ1dEBE[0][pe][0][0]->GetBinContent(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[0][pe][0][0]->GetBinContent(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][0]->GetBinEntries(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)); + mp = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + // M01 from Eq. (118) in QC2c (to be improved (notation)): + dM01 = mp*dSM1p1k-s1p1k; + dM011 = mp*(dSM2p1k-dSM1p2k) + - 2.*(s1p1k*dSM1p1k-s1p2k); + // typeFlag = RP (0) or POI (1): + t = 0; + } + + // <>: + Double_t cosP1nPsi = 0.; + if(mp) + { + cosP1nPsi = p1n0kRe/mp; + + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsi,mp); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][0]->SetBinContent(b,cosP1nPsi); + } // end of if(mp) + + // <>: + Double_t cosP1nPsiP1nPhiW2 = 0.; + if(dM01) + { + cosP1nPsiP1nPhiW2 = (p1n0kRe*dReQ1n1k-p1n0kIm*dImQ1n1k-q2n1kRe)/(dM01); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsiP1nPhiW2,dM01); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][1]->SetBinContent(b,cosP1nPsiP1nPhiW2); + } // end of if(dM01) + + // <>: + Double_t cosP1nPsi1P1nPhi2MPhi3W2W3 = 0.; + if(dM011) + { + cosP1nPsi1P1nPhi2MPhi3W2W3 = (p1n0kRe*(pow(dImQ1n1k,2.)+pow(dReQ1n1k,2.)) + - p1n0kRe*dSM1p2k + - q2n1kRe*dReQ1n1k-q2n1kIm*dImQ1n1k + - s1p1k*dReQ1n1k + + 2.*q1n2kRe) + / dM011; + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsi1P1nPhi2MPhi3W2W3,dM011); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][2]->SetBinContent(b,cosP1nPsi1P1nPhi2MPhi3W2W3); + } // end of if(dM011) + + // <>: + Double_t cosP1nPsi1M1nPhi2MPhi3W2W3 = 0.; + if(dM011) + { + cosP1nPsi1M1nPhi2MPhi3W2W3 = (p1n0kRe*(pow(dReQ1n1k,2.)-pow(dImQ1n1k,2.))+2.*p1n0kIm*dReQ1n1k*dImQ1n1k + - 1.*(p1n0kRe*dReQ2n2k+p1n0kIm*dImQ2n2k) + - 2.*s1p1k*dReQ1n1k + + 2.*q1n2kRe) + / dM011; + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][1][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],cosP1nPsi1M1nPhi2MPhi3W2W3,dM011); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][1][3]->SetBinContent(b,cosP1nPsi1M1nPhi2MPhi3W2W3); + } // end of if(dM011) + + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + +} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights(TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights(TString type, TString ptOrEta) +{ + // Calculate correction terms for non-uniform acceptance for differential flow (sin terms). + + // Results are stored in fDiffFlowCorrectionTermsForNUAPro[t][pe][0][cti], where cti runs as follows: + // 0: <> + // 1: <> + // 2: <> + // 3: <>: + // 4: + // 5: + // 6: + + // real and imaginary parts of weighted Q-vectors evaluated in harmonics n, 2n, 3n and 4n: + Double_t dReQ1n1k = (*fReQ)(0,1); + Double_t dReQ2n2k = (*fReQ)(1,2); + //Double_t dReQ1n3k = (*fReQ)(0,3); + //Double_t dReQ4n4k = (*fReQ)(3,4); + Double_t dImQ1n1k = (*fImQ)(0,1); + Double_t dImQ2n2k = (*fImQ)(1,2); + //Double_t dImQ1n3k = (*fImQ)(0,3); + //Double_t dImQ4n4k = (*fImQ)(3,4); + + // S^M_{p,k} (see .h file for the definition of fSMpk): + Double_t dSM1p1k = (*fSMpk)(0,1); + Double_t dSM1p2k = (*fSMpk)(0,2); + Double_t dSM2p1k = (*fSMpk)(1,1); + + Int_t t = -1; // type flag + Int_t pe = -1; // ptEta flag + + if(type == "RP") + { + t = 0; + } else if(type == "POI") + { + t = 1; + } + + if(ptOrEta == "Pt") + { + pe = 0; + } else if(ptOrEta == "Eta") + { + pe = 1; + } + + Int_t nBinsPtEta[2] = {fnBinsPt,fnBinsEta}; + Double_t minPtEta[2] = {fPtMin,fEtaMin}; + //Double_t maxPtEta[2] = {fPtMax,fEtaMax}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + // looping over all bins and calculating correction terms: + for(Int_t b=1;b<=nBinsPtEta[pe];b++) + { + // real and imaginary parts of p_{m*n,0} (non-weighted Q-vector evaluated for POIs in particular pt or eta bin): + Double_t p1n0kRe = 0.; + Double_t p1n0kIm = 0.; + + // number of POIs in particular pt or eta bin: + Double_t mp = 0.; + + // real and imaginary parts of q_{m*n,0} (weighted Q-vector evaluated for particles which are both RPs and POIs in particular pt or eta bin): + Double_t q1n2kRe = 0.; + Double_t q1n2kIm = 0.; + Double_t q2n1kRe = 0.; + Double_t q2n1kIm = 0.; + + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + Double_t s1p1k = 0.; + Double_t s1p2k = 0.; + + // number of particles which are both RPs and POIs in particular pt or eta bin: + Double_t mq = 0.; + + // M0111 from Eq. (118) in QC2c (to be improved (notation)) + Double_t dM01 = 0.; + Double_t dM011 = 0.; + + if(type == "POI") + { + // q_{m*n,k}: + q1n2kRe = fReRPQ1dEBE[2][pe][0][2]->GetBinContent(fReRPQ1dEBE[2][pe][0][2]->GetBin(b)) + * fReRPQ1dEBE[2][pe][0][2]->GetBinEntries(fReRPQ1dEBE[2][pe][0][2]->GetBin(b)); + q1n2kIm = fImRPQ1dEBE[2][pe][0][2]->GetBinContent(fImRPQ1dEBE[2][pe][0][2]->GetBin(b)) + * fImRPQ1dEBE[2][pe][0][2]->GetBinEntries(fImRPQ1dEBE[2][pe][0][2]->GetBin(b)); + q2n1kRe = fReRPQ1dEBE[2][pe][1][1]->GetBinContent(fReRPQ1dEBE[2][pe][1][1]->GetBin(b)) + * fReRPQ1dEBE[2][pe][1][1]->GetBinEntries(fReRPQ1dEBE[2][pe][1][1]->GetBin(b)); + q2n1kIm = fImRPQ1dEBE[2][pe][1][1]->GetBinContent(fImRPQ1dEBE[2][pe][1][1]->GetBin(b)) + * fImRPQ1dEBE[2][pe][1][1]->GetBinEntries(fImRPQ1dEBE[2][pe][1][1]->GetBin(b)); + mq = fReRPQ1dEBE[2][pe][0][0]->GetBinEntries(fReRPQ1dEBE[2][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + + s1p1k = pow(fs1dEBE[2][pe][1]->GetBinContent(b)*fs1dEBE[2][pe][1]->GetBinEntries(b),1.); + s1p2k = pow(fs1dEBE[2][pe][2]->GetBinContent(b)*fs1dEBE[2][pe][2]->GetBinEntries(b),1.); + }else if(type == "RP") + { + // q_{m*n,k}: (Remark: m=1 is 0, k=0 iz zero (to be improved!)) + q1n2kRe = fReRPQ1dEBE[0][pe][0][2]->GetBinContent(fReRPQ1dEBE[0][pe][0][2]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][2]->GetBinEntries(fReRPQ1dEBE[0][pe][0][2]->GetBin(b)); + q1n2kIm = fImRPQ1dEBE[0][pe][0][2]->GetBinContent(fImRPQ1dEBE[0][pe][0][2]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][2]->GetBinEntries(fImRPQ1dEBE[0][pe][0][2]->GetBin(b)); + q2n1kRe = fReRPQ1dEBE[0][pe][1][1]->GetBinContent(fReRPQ1dEBE[0][pe][1][1]->GetBin(b)) + * fReRPQ1dEBE[0][pe][1][1]->GetBinEntries(fReRPQ1dEBE[0][pe][1][1]->GetBin(b)); + q2n1kIm = fImRPQ1dEBE[0][pe][1][1]->GetBinContent(fImRPQ1dEBE[0][pe][1][1]->GetBin(b)) + * fImRPQ1dEBE[0][pe][1][1]->GetBinEntries(fImRPQ1dEBE[0][pe][1][1]->GetBin(b)); + // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation) + s1p1k = pow(fs1dEBE[0][pe][1]->GetBinContent(b)*fs1dEBE[0][pe][1]->GetBinEntries(b),1.); + s1p2k = pow(fs1dEBE[0][pe][2]->GetBinContent(b)*fs1dEBE[0][pe][2]->GetBinEntries(b),1.); + //s1p3k = pow(fs1dEBE[0][pe][3]->GetBinContent(b)*fs1dEBE[0][pe][3]->GetBinEntries(b),1.); + } + + if(type == "POI") + { + // p_{m*n,k}: + p1n0kRe = fReRPQ1dEBE[1][pe][0][0]->GetBinContent(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[1][pe][0][0]->GetBinContent(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[1][pe][0][0]->GetBinEntries(fImRPQ1dEBE[1][pe][0][0]->GetBin(b)); + mp = fReRPQ1dEBE[1][pe][0][0]->GetBinEntries(fReRPQ1dEBE[1][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + // M01 from Eq. (118) in QC2c (to be improved (notation)): + dM01 = mp*dSM1p1k-s1p1k; + dM011 = mp*(dSM2p1k-dSM1p2k) + - 2.*(s1p1k*dSM1p1k-s1p2k); + // typeFlag = RP (0) or POI (1): + t = 1; + } else if(type == "RP") + { + // to be improved (cross-checked): + p1n0kRe = fReRPQ1dEBE[0][pe][0][0]->GetBinContent(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); + p1n0kIm = fImRPQ1dEBE[0][pe][0][0]->GetBinContent(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)) + * fImRPQ1dEBE[0][pe][0][0]->GetBinEntries(fImRPQ1dEBE[0][pe][0][0]->GetBin(b)); + mp = fReRPQ1dEBE[0][pe][0][0]->GetBinEntries(fReRPQ1dEBE[0][pe][0][0]->GetBin(b)); // to be improved (cross-checked by accessing other profiles here) + // M01 from Eq. (118) in QC2c (to be improved (notation)): + dM01 = mp*dSM1p1k-s1p1k; + dM011 = mp*(dSM2p1k-dSM1p2k) + - 2.*(s1p1k*dSM1p1k-s1p2k); + // typeFlag = RP (0) or POI (1): + t = 0; + } + + // <>: + Double_t sinP1nPsi = 0.; + if(mp) + { + sinP1nPsi = p1n0kIm/mp; + + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][0]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsi,mp); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][0]->SetBinContent(b,sinP1nPsi); + } // end of if(mp) + + // <>: + Double_t sinP1nPsiP1nPhiW2 = 0.; + if(dM01) + { + sinP1nPsiP1nPhiW2 = (p1n0kRe*dImQ1n1k+p1n0kIm*dReQ1n1k-q2n1kIm)/(dM01); + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][1]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsiP1nPhiW2,dM01); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][1]->SetBinContent(b,sinP1nPsiP1nPhiW2); + } // end of if(mp*dMult-mq) + + // <>: + Double_t sinP1nPsi1P1nPhi2MPhi3W2W3 = 0.; + if(dM011) + { + sinP1nPsi1P1nPhi2MPhi3W2W3 = (p1n0kIm*(pow(dImQ1n1k,2.)+pow(dReQ1n1k,2.)) + - p1n0kIm*dSM1p2k + + q2n1kRe*dImQ1n1k-q2n1kIm*dReQ1n1k + - s1p1k*dImQ1n1k + + 2.*q1n2kIm) + / dM011; + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][2]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsi1P1nPhi2MPhi3W2W3,dM011); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][2]->SetBinContent(b,sinP1nPsi1P1nPhi2MPhi3W2W3); + } // end of if(dM011) + + // <>: + Double_t sinP1nPsi1M1nPhi2MPhi3W2W3 = 0.; + if(dM011) + { + sinP1nPsi1M1nPhi2MPhi3W2W3 = (p1n0kIm*(pow(dReQ1n1k,2.)-pow(dImQ1n1k,2.))-2.*p1n0kRe*dReQ1n1k*dImQ1n1k + + 1.*(p1n0kRe*dImQ2n2k-p1n0kIm*dReQ2n2k) + + 2.*s1p1k*dImQ1n1k + - 2.*q1n2kIm) + / dM011; + // fill profile for <>: + fDiffFlowCorrectionTermsForNUAPro[t][pe][0][3]->Fill(minPtEta[pe]+(b-1)*binWidthPtEta[pe],sinP1nPsi1M1nPhi2MPhi3W2W3,dM011); + // histogram to store e-b-e (needed in some other methods): + fDiffFlowCorrectionTermsForNUAEBE[t][pe][0][3]->SetBinContent(b,sinP1nPsi1M1nPhi2MPhi3W2W3); + } // end of if(dM011) + + } // end of for(Int_t b=1;b<=nBinsPtEta[pe];b++) + +} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights(TString type, TString ptOrEta) + + +//================================================================================================================================ + + +void AliFlowAnalysisWithQCumulants::EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoopsUsingParticleWeights(AliFlowEventSimple * const anEvent, TString type, TString ptOrEta) +{ + // Evaluate with nested loops correction terms for non-uniform acceptance + // with using particle weights (both sin and cos terms) relevant for differential flow. + + // Remark 1: "w1" in expressions bellow is a particle weight used only for particles which were + // flagged both as POI and RP. + // Remark 2: Reduced correction terms for non-uniform acceptance are evaluated in pt bin number fCrossCheckInPtBinNo + // and eta bin number fCrossCheckInEtaBinNo both for RPs and POIs. + // Remark 3: Results are stored in 1 bin profiles fDiffFlowDirectCorrections[t][pe][sc][cti], where first three indices runs as: + // [0=RP,1=POI][0=Pt,1=Eta][0=sin terms,1=cos terms], whilst the cti (correction term index) runs as follows: + // cti: + // 0: <> + // 1: <> + // 2: <> + // 3: <> + // 4: + // 5: + // 6: + + Int_t typeFlag = -1; + Int_t ptEtaFlag = -1; + if(type == "RP") + { + typeFlag = 0; + } else if(type == "POI") + { + typeFlag = 1; + } + if(ptOrEta == "Pt") + { + ptEtaFlag = 0; + } else if(ptOrEta == "Eta") + { + ptEtaFlag = 1; + } + // shortcuts: + Int_t t = typeFlag; + Int_t pe = ptEtaFlag; + + Double_t lowerPtEtaEdge[2] = {fPtMin+(fCrossCheckInPtBinNo-1)*fPtBinWidth,fEtaMin+(fCrossCheckInEtaBinNo-1)*fEtaBinWidth}; + Double_t upperPtEtaEdge[2] = {fPtMin+fCrossCheckInPtBinNo*fPtBinWidth,fEtaMin+fCrossCheckInEtaBinNo*fEtaBinWidth}; + Double_t binWidthPtEta[2] = {fPtBinWidth,fEtaBinWidth}; + + Int_t nPrim = anEvent->NumberOfTracks(); + AliFlowTrackSimple *aftsTrack = NULL; + + Double_t psi1=0., phi2=0., phi3=0.;// phi4=0.;// phi5=0., phi6=0., phi7=0., phi8=0.; + Double_t wPhi2=1., wPhi3=1.; + + Int_t n = fHarmonic; + + // 1'-particle correction terms: + for(Int_t i1=0;i1GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + // sin terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][0]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*psi1),1.); // <> + // cos terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][0]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*psi1),1.); // <> + }//end of for(Int_t i1=0;i1GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + // sin terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][1]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*(psi1+phi2)),wPhi2); // <> + // cos terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][1]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1+phi2)),wPhi2); // <> + }//end of for(Int_t i2=0;i2GetTrack(i1); + // POI condition (first particle in the correlator must be POI): // to be improved (this can be implemented much better) + if(typeFlag==1) // this is diff flow of POIs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InPOISelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InPOISelection())))continue; + } + } else // this is diff flow of RPs + { + if(ptOrEta == "Pt") + { + if(!((aftsTrack->Pt()>=lowerPtEtaEdge[pe] && aftsTrack->Pt()InRPSelection())))continue; + } else if (ptOrEta == "Eta") + { + if(!((aftsTrack->Eta()>=lowerPtEtaEdge[pe] && aftsTrack->Eta()InRPSelection())))continue; + } + } + psi1=aftsTrack->Phi(); + for(Int_t i2=0;i2GetTrack(i2); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi2=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi2 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi2*fnBinsPhi/TMath::TwoPi()))); + for(Int_t i3=0;i3GetTrack(i3); + // RP condition (!(first) particle in the correlator must be RP): + if(!(aftsTrack->InRPSelection())) continue; + phi3=aftsTrack->Phi(); + if(fUsePhiWeights && fPhiWeights) wPhi3 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi3*fnBinsPhi/TMath::TwoPi()))); + // sin terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][2]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*(psi1+phi2-phi3)),wPhi2*wPhi3); // <> + fDiffFlowDirectCorrectionTermsForNUA[t][pe][0][3]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,sin(n*(psi1-phi2-phi3)),wPhi2*wPhi3); // <> + // cos terms: + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][2]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1+phi2-phi3)),wPhi2*wPhi3); // <> + fDiffFlowDirectCorrectionTermsForNUA[t][pe][1][3]->Fill(lowerPtEtaEdge[pe]+binWidthPtEta[pe]/2.,cos(n*(psi1-phi2-phi3)),wPhi2*wPhi3); // <> + }//end of for(Int_t i3=0;i3