#include "AliFlowEventSimple.h"
#include "AliFlowTrackSimple.h"
#include "AliFlowAnalysisWithQCumulants.h"
-#include "AliQCumulantsFunctions.h"
-
+#include "TArrayD.h"
#include "TRandom.h"
+#include "TF1.h"
class TH1;
+class TH2;
class TGraph;
class TPave;
class TLatex;
class AliFlowVector;
class TVector;
+
//================================================================================================================
+
ClassImp(AliFlowAnalysisWithQCumulants)
-AliFlowAnalysisWithQCumulants::AliFlowAnalysisWithQCumulants():
- fTrack(NULL),
+AliFlowAnalysisWithQCumulants::AliFlowAnalysisWithQCumulants():
+ // 0.) base:
fHistList(NULL),
- fDiffFlowList(NULL),
- fWeightsList(NULL),
- fAvMultIntFlowQC(NULL),
- fQvectorComponents(NULL),
- fIntFlowResultsQC(NULL),
- fDiffFlowResults2ndOrderQC(NULL),
- fDiffFlowResults4thOrderQC(NULL),
- fCovariances(NULL),
- fQvectorForEachEventX(NULL),//to be removed
- fQvectorForEachEventY(NULL),//to be removed
- fQCorrelations(NULL),
- fQProduct(NULL),
- fDirectCorrelations(NULL),
- fPtReq1nRP(NULL),
- fPtImq1nRP(NULL),
- fPtReq2nRP(NULL),
- fPtImq2nRP(NULL),
- f2PerPtBin1n1nRP(NULL),
- f2PerPtBin2n2nRP(NULL),
- f3PerPtBin2n1n1nRP(NULL),
- f3PerPtBin1n1n2nRP(NULL),
- f4PerPtBin1n1n1n1nRP(NULL),
- fEtaReq1nRP(NULL),
- fEtaImq1nRP(NULL),
- fEtaReq2nRP(NULL),
- fEtaImq2nRP(NULL),
- f2PerEtaBin1n1nRP(NULL),
- f2PerEtaBin2n2nRP(NULL),
- f3PerEtaBin2n1n1nRP(NULL),
- f3PerEtaBin1n1n2nRP(NULL),
- f4PerEtaBin1n1n1n1nRP(NULL),
- fPtReq1nPrimePOI(NULL),
- fPtImq1nPrimePOI(NULL),
- fPtReq2nPrimePOI(NULL),
- fPtImq2nPrimePOI(NULL),
- fmPrimePerPtBin(NULL),
- fPtReq1nPrimePrimePOI(NULL),
- fPtImq1nPrimePrimePOI(NULL),
- fPtReq2nPrimePrimePOI(NULL),
- fPtImq2nPrimePrimePOI(NULL),
- fmPrimePrimePerPtBin(NULL),
- fEtaReq1nPrimePOI(NULL),
- fEtaImq1nPrimePOI(NULL),
- fEtaReq2nPrimePOI(NULL),
- fEtaImq2nPrimePOI(NULL),
- fmPrimePerEtaBin(NULL),
- fEtaReq1nPrimePrimePOI(NULL),
- fEtaImq1nPrimePrimePOI(NULL),
- fEtaReq2nPrimePrimePOI(NULL),
- fEtaImq2nPrimePrimePOI(NULL),
- fmPrimePrimePerEtaBin(NULL),
- f2PerPtBin1n1nPOI(NULL),
- f2PerPtBin2n2nPOI(NULL),
- f3PerPtBin2n1n1nPOI(NULL),
- f3PerPtBin1n1n2nPOI(NULL),
- f4PerPtBin1n1n1n1nPOI(NULL),
- f2PerEtaBin1n1nPOI(NULL),
- f2PerEtaBin2n2nPOI(NULL),
- f3PerEtaBin2n1n1nPOI(NULL),
- f3PerEtaBin1n1n2nPOI(NULL),
- f4PerEtaBin1n1n1n1nPOI(NULL),
- fCommonHists2nd(NULL),
+ // 1.) common:
+ fCommonHists(NULL),
+ fCommonHists2nd(NULL),
fCommonHists4th(NULL),
fCommonHists6th(NULL),
fCommonHists8th(NULL),
fCommonHistsResults4th(NULL),
fCommonHistsResults6th(NULL),
fCommonHistsResults8th(NULL),
- f2pDistribution(NULL),
- f4pDistribution(NULL),
- f6pDistribution(NULL),
- f8pDistribution(NULL),
+ fnBinsPhi(0),
+ fPhiMin(0),
+ fPhiMax(0),
+ fPhiBinWidth(0),
fnBinsPt(0),
fPtMin(0),
fPtMax(0),
+ fPtBinWidth(0),
fnBinsEta(0),
fEtaMin(0),
fEtaMax(0),
- fEventCounter(0),
+ fEtaBinWidth(0),
+ fHarmonic(2),
+ fAnalysisLabel(NULL),
+ // 2.) weights:
+ fWeightsList(NULL),
fUsePhiWeights(kFALSE),
fUsePtWeights(kFALSE),
- fUseEtaWeights(kFALSE)
-{
- //constructor
- fHistList = new TList();
- fDiffFlowList = new TList();
- fDiffFlowList->SetName("DifferentialFlow");
- fWeightsList = new TList();
- fWeightsList->SetName("Weights");
+ fUseEtaWeights(kFALSE),
+ fUseParticleWeights(NULL),
+ fPhiWeights(NULL),
+ fPtWeights(NULL),
+ fEtaWeights(NULL),
+ // 3.) integrated flow:
+ fIntFlowList(NULL),
+ fIntFlowProfiles(NULL),
+ fIntFlowResults(NULL),
+ fReQ(NULL),
+ fImQ(NULL),
+ fSMpk(NULL),
+ fAvMultiplicity(NULL),
+ // 4.) differential flow:
+ fDiffFlowList(NULL),
+ fDiffFlowProfiles(NULL),
+ fDiffFlowResults(NULL),
+ // 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
- fnBinsPt = AliFlowCommonConstants::GetNbinsPt();
- fPtMin = AliFlowCommonConstants::GetPtMin();
- fPtMax = AliFlowCommonConstants::GetPtMax();
+ // 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();
+ fWeightsList->SetName("Weights");
+ fWeightsList->SetOwner(kTRUE);
+
+ // analysis label;
+ fAnalysisLabel = new TString();
+
+ // initialize all arrays:
+ this->InitializeArraysForIntFlow();
+ this->InitializeArraysForDiffFlow();
+ this->InitializeArraysForDistributions();
+
+ } // end of constructor
- fnBinsEta = AliFlowCommonConstants::GetNbinsEta();
- fEtaMin = AliFlowCommonConstants::GetEtaMin();
- fEtaMax = AliFlowCommonConstants::GetEtaMax();
-}
+
+//================================================================================================================
+
AliFlowAnalysisWithQCumulants::~AliFlowAnalysisWithQCumulants()
{
- //destructor
- delete fHistList;
- delete fDiffFlowList;
- delete fWeightsList;
-}
+ // destructor
+
+ delete fHistList;
+
+} // end of AliFlowAnalysisWithQCumulants::~AliFlowAnalysisWithQCumulants()
+
//================================================================================================================
+
void AliFlowAnalysisWithQCumulants::Init()
{
- //various output histograms
- //avarage multiplicity
- fAvMultIntFlowQC = new TProfile("fAvMultIntFlowQC","Average Multiplicity",1,0,1,"s");
- fAvMultIntFlowQC->SetXTitle("");
- fAvMultIntFlowQC->SetYTitle("");
- fAvMultIntFlowQC->SetLabelSize(0.06);
- fAvMultIntFlowQC->SetMarkerStyle(25);
- fAvMultIntFlowQC->SetLabelOffset(0.01);
- (fAvMultIntFlowQC->GetXaxis())->SetBinLabel(1,"Average Multiplicity");
- fHistList->Add(fAvMultIntFlowQC);
-
- //Q-vector stuff
- fQvectorComponents = new TProfile("fQvectorComponents","Avarage of Q-vector components",44,0.,44.,"s");
- fQvectorComponents->SetXTitle("");
- fQvectorComponents->SetYTitle("");
- //fHistList->Add(fQvectorComponents);
-
- //final results for integrated flow from Q-cumulants
- fIntFlowResultsQC = new TH1D("fIntFlowResultsQC","Integrated Flow from Q-cumulants",4,0,4);
- //fIntFlowResults->SetXTitle("");
- //fIntFlowResultsQC->SetYTitle("Integrated Flow");
- fIntFlowResultsQC->SetLabelSize(0.06);
- //fIntFlowResultsQC->SetTickLength(1);
- fIntFlowResultsQC->SetMarkerStyle(25);
- (fIntFlowResultsQC->GetXaxis())->SetBinLabel(1,"v_{n}{2}");
- (fIntFlowResultsQC->GetXaxis())->SetBinLabel(2,"v_{n}{4}");
- (fIntFlowResultsQC->GetXaxis())->SetBinLabel(3,"v_{n}{6}");
- (fIntFlowResultsQC->GetXaxis())->SetBinLabel(4,"v_{n}{8}");
- fHistList->Add(fIntFlowResultsQC);
-
- //final results for differential flow from 2nd order Q-cumulant
- fDiffFlowResults2ndOrderQC = new TH1D("fDiffFlowResults2ndOrderQC","Differential Flow from 2nd Order Q-cumulant",fnBinsPt,fPtMin,fPtMax);
- fDiffFlowResults2ndOrderQC->SetXTitle("p_{t} [GeV]");
- //fDiffFlowResults2ndOrderQC->SetYTitle("Differential Flow");
- fHistList->Add(fDiffFlowResults2ndOrderQC);
-
- //final results for differential flow from 4th order Q-cumulant
- fDiffFlowResults4thOrderQC = new TH1D("fDiffFlowResults4thOrderQC","Differential Flow from 4th Order Q-cumulant",fnBinsPt,fPtMin,fPtMax);
- fDiffFlowResults4thOrderQC->SetXTitle("p_{t} [GeV]");
- //fDiffFlowResults4thOrderQC->SetYTitle("Differential Flow");
- fHistList->Add(fDiffFlowResults4thOrderQC);
-
- //final results for covariances (1st bin: <2*4>-<2>*<4>, 2nd bin: <2*6>-<2>*<6>, ...)
- fCovariances = new TH1D("fCovariances","Covariances",6,0,6);
- //fCovariances->SetXTitle("");
- //fCovariances->SetYTitle("<covariance>");
- fCovariances->SetLabelSize(0.04);
- fCovariances->SetTickLength(1);
- fCovariances->SetMarkerStyle(25);
- (fCovariances->GetXaxis())->SetBinLabel(1,"Cov(2,4)");
- (fCovariances->GetXaxis())->SetBinLabel(2,"Cov(2,6)");
- (fCovariances->GetXaxis())->SetBinLabel(3,"Cov(2,8)");
- (fCovariances->GetXaxis())->SetBinLabel(4,"Cov(4,6)");
- (fCovariances->GetXaxis())->SetBinLabel(5,"Cov(4,8)");
- (fCovariances->GetXaxis())->SetBinLabel(6,"Cov(6,8)");
- fHistList->Add(fCovariances);
-
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
- // !!!! to be removed !!!!
- //profile containing the x-components of Q-vectors from all events
- fQvectorForEachEventX = new TProfile("fQvectorForEachEventX","x-components of Q-vectors",44000,1,44000,"s");
- fHistList->Add(fQvectorForEachEventX);
-
- //profile containing the y-components of Q-vectors from all events
- fQvectorForEachEventY = new TProfile("fQvectorForEachEventY","y-components of Q-vectors",44000,1,44000,"s");
- fHistList->Add(fQvectorForEachEventY);
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
-
- //multi-particle correlations calculated from Q-vectors
- fQCorrelations = new TProfile("fQCorrelations","multi-particle correlations from Q-vectors",32,0,32,"s");
- //fQCorrelations->SetXTitle("correlations");
- //fQCorrelations->SetYTitle("");
- fQCorrelations->SetTickLength(-0.01,"Y");
- fQCorrelations->SetMarkerStyle(25);
- fQCorrelations->SetLabelSize(0.03);
- fQCorrelations->SetLabelOffset(0.01,"Y");
-
- (fQCorrelations->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}");
-
- (fQCorrelations->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}");
-
- (fQCorrelations->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(13,"<<4>>_{2n,2n|2n,2n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(14,"<<4>>_{3n|n,n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|3n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(16,"<<4>>_{3n,n|2n,2n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(17,"<<4>>_{4n|2n,n,n}");
-
- (fQCorrelations->GetXaxis())->SetBinLabel(19,"<<5>>_{2n|n,n,n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(20,"<<5>>_{2n,2n|2n,n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(21,"<<5>>_{3n,n|2n,n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(22,"<<5>>_{4n|n,n,n,n}");
-
- (fQCorrelations->GetXaxis())->SetBinLabel(24,"<<6>>_{n,n,n|n,n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(25,"<<6>>_{2n,n,n|2n,n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(26,"<<6>>_{2n,2n|n,n,n,n}");
- (fQCorrelations->GetXaxis())->SetBinLabel(27,"<<6>>_{3n,n|n,n,n,n}");
-
- (fQCorrelations->GetXaxis())->SetBinLabel(29,"<<7>>_{2n,n,n|n,n,n,n}");
-
- (fQCorrelations->GetXaxis())->SetBinLabel(31,"<<8>>_{n,n,n,n|n,n,n,n}");
-
- fHistList->Add(fQCorrelations);
-
- //average products
- fQProduct = new TProfile("fQProduct","average of products",6,0,6,"s");
- fQProduct->SetTickLength(-0.01,"Y");
- fQProduct->SetMarkerStyle(25);
- fQProduct->SetLabelSize(0.03);
- fQProduct->SetLabelOffset(0.01,"Y");
- (fQProduct->GetXaxis())->SetBinLabel(1,"<<2*4>>");
- (fQProduct->GetXaxis())->SetBinLabel(2,"<<2*6>>");
- (fQProduct->GetXaxis())->SetBinLabel(3,"<<2*8>>");
- (fQProduct->GetXaxis())->SetBinLabel(4,"<<4*6>>");
- (fQProduct->GetXaxis())->SetBinLabel(5,"<<4*8>>");
- (fQProduct->GetXaxis())->SetBinLabel(6,"<<6*8>>");
- fQProduct->SetXTitle("");
- fQProduct->SetYTitle("");
- fHistList->Add(fQProduct);
-
- //multi-particle correlations calculated with nested loops (0..40 integrated flow; 40..80 differential flow)
- fDirectCorrelations = new TProfile("fDirectCorrelations","multi-particle correlations with nested loops",80,0,80,"s");
- fDirectCorrelations->SetXTitle("");
- fDirectCorrelations->SetYTitle("correlations");
- fHistList->Add(fDirectCorrelations);
-
- //fPtReq1nRP
- fPtReq1nRP = new TProfile("fPtReq1nRP","Re[q_n]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtReq1nRP->SetXTitle("p_{t} [GeV]");
- fPtReq1nRP->SetYTitle("Re[q_n]");
-
- //fPtImq1nRP
- fPtImq1nRP = new TProfile("fPtImq1nRP","Im[q_n]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtImq1nRP->SetXTitle("p_{t} [GeV]");
- fPtImq1nRP->SetYTitle("Im[q_n]");
-
- //fPtReq2nRP
- fPtReq2nRP = new TProfile("fPtReq2nRP","Re[q_2n]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtReq2nRP->SetXTitle("p_{t} [GeV]");
- fPtReq2nRP->SetYTitle("Im[D]");
-
- //fPtImq2nRP
- fPtImq2nRP = new TProfile("fPtImq2nRP","Im[q_2n]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtImq2nRP->SetXTitle("p_{t} [GeV]");
- fPtImq2nRP->SetYTitle("Im[q_2n]");
-
- //f2PerPtBin1n1nRP
- f2PerPtBin1n1nRP = new TProfile("f2PerPtBin1n1nRP","<2'>_{n|n}",fnBinsPt,fPtMin,fPtMax,"s");
- f2PerPtBin1n1nRP->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f2PerPtBin1n1nRP);
-
- //f2PerPtBin2n2nRP
- f2PerPtBin2n2nRP = new TProfile("f2PerPtBin2n2nRP","<2'>_{2n|2n}",fnBinsPt,fPtMin,fPtMax,"s");
- f2PerPtBin2n2nRP->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f2PerPtBin2n2nRP);
-
- //f3PerPtBin2n1n1nRP
- f3PerPtBin2n1n1nRP = new TProfile("f3PerPtBin2n1n1nRP","<3'>_{2n|n,n}",fnBinsPt,fPtMin,fPtMax,"s");
- f3PerPtBin2n1n1nRP->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f3PerPtBin2n1n1nRP);
-
- //f3PerPtBin1n1n2nRP
- f3PerPtBin1n1n2nRP = new TProfile("f3PerPtBin1n1n2nRP","<3'>_{n,n|2n}",fnBinsPt,fPtMin,fPtMax,"s");
- f3PerPtBin1n1n2nRP->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f3PerPtBin1n1n2nRP);
-
- //f4PerPtBin1n1n1n1nRP
- f4PerPtBin1n1n1n1nRP = new TProfile("f4PerPtBin1n1n1n1nRP","<4'>_{n,n|n,n}",fnBinsPt,fPtMin,fPtMax,"s");
- f4PerPtBin1n1n1n1nRP->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f4PerPtBin1n1n1n1nRP);
-
- //fEtaReq1nRP
- fEtaReq1nRP = new TProfile("fEtaReq1nRP","Re[q_n]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaReq1nRP->SetXTitle("#eta");
- fEtaReq1nRP->SetYTitle("Re[q_n]");
-
- //fEtaImq1nRP
- fEtaImq1nRP = new TProfile("fEtaImq1nRP","Im[q_n]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaImq1nRP->SetXTitle("#eta");
- fEtaImq1nRP->SetYTitle("Im[q_n]");
-
- //fEtaReq2nRP
- fEtaReq2nRP = new TProfile("fEtaReq2nRP","Re[q_2n]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaReq2nRP->SetXTitle("#eta");
- fEtaReq2nRP->SetYTitle("Im[D]");
-
- //fEtaImq2nRP
- fEtaImq2nRP = new TProfile("fEtaImq2nRP","Im[q_2n]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaImq2nRP->SetXTitle("#eta");
- fEtaImq2nRP->SetYTitle("Im[q_2n]");
-
- //f2PerEtaBin1n1nRP
- f2PerEtaBin1n1nRP = new TProfile("f2PerEtaBin1n1nRP","<2'>_{n|n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f2PerEtaBin1n1nRP->SetXTitle("#eta");
- fDiffFlowList->Add(f2PerEtaBin1n1nRP);
-
- //f2PerEtaBin2n2nRP
- f2PerEtaBin2n2nRP = new TProfile("f2PerEtaBin2n2nRP","<2'>_{2n|2n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f2PerEtaBin2n2nRP->SetXTitle("#eta");
- fDiffFlowList->Add(f2PerEtaBin2n2nRP);
-
- //f3PerEtaBin2n1n1nRP
- f3PerEtaBin2n1n1nRP = new TProfile("f3PerEtaBin2n1n1nRP","<3'>_{2n|n,n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f3PerEtaBin2n1n1nRP->SetXTitle("#eta");
- fDiffFlowList->Add(f3PerEtaBin2n1n1nRP);
-
- //f3PerEtaBin1n1n2nRP
- f3PerEtaBin1n1n2nRP = new TProfile("f3PerEtaBin1n1n2RP","<3'>_{n,n|2n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f3PerEtaBin1n1n2nRP->SetXTitle("#eta");
- fDiffFlowList->Add(f3PerEtaBin1n1n2nRP);
-
- //f4PerEtaBin1n1n1n1nRP
- f4PerEtaBin1n1n1n1nRP = new TProfile("f4PerEtaBin1n1n1n1nRP","<4'>_{n,n|n,n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f4PerEtaBin1n1n1n1nRP->SetXTitle("#eta");
- fDiffFlowList->Add(f4PerEtaBin1n1n1n1nRP);
-
- //fPtReq1nPrimePOI
- fPtReq1nPrimePOI = new TProfile("fPtReq1nPrimePOI","Re[q_{n}^{'}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtReq1nPrimePOI->SetXTitle("p_{t} [GeV]");
- fPtReq1nPrimePOI->SetYTitle("Re[q_{n}^{'}]");
-
- //fPtImq1nPrimePOI
- fPtImq1nPrimePOI = new TProfile("fPtImq1nPrimePOI","Im[q_{n}^{'}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtImq1nPrimePOI->SetXTitle("p_{t} [GeV]");
- fPtImq1nPrimePOI->SetYTitle("Im[q_{n}^{'}]");
-
- //fPtReq2nPrimePOI
- fPtReq2nPrimePOI = new TProfile("fPtReq2nPrimePOI","Re[q_{2n}^{'}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtReq2nPrimePOI->SetXTitle("p_{t} [GeV]");
- fPtReq2nPrimePOI->SetYTitle("Re[q_{2n}^{'}]");
-
- //fPtImq2nPrimePOI
- fPtImq2nPrimePOI = new TProfile("fPtImq2nPrimePOI","Im[q_{2n}^{'}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtImq2nPrimePOI->SetXTitle("p_{t} [GeV]");
- fPtImq2nPrimePOI->SetYTitle("Im[q_{2n}^{'}]");
-
- //fmPrimePerPtBin
- fmPrimePerPtBin = new TProfile("fmPrimePerPtBin","# of particles selected both as RP and POI per #p_{t} bin",fnBinsPt,fPtMin,fPtMax,"s");
- fmPrimePerPtBin->SetXTitle("p_{t} [GeV]");
- fmPrimePerPtBin->SetYTitle("Counts");
-
- //fPtReq1nPrimePrimePOI
- fPtReq1nPrimePrimePOI = new TProfile("fPtReq1nPrimePrimePOI","Re[q_{n}^{''}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtReq1nPrimePrimePOI->SetXTitle("p_{t} [GeV]");
- fPtReq1nPrimePrimePOI->SetYTitle("Re[q_{n}^{''}]");
-
- //fPtImq1nPrimePrimePOI
- fPtImq1nPrimePrimePOI = new TProfile("fPtImq1nPrimePrimePOI","Im[q_{n}^{''}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtImq1nPrimePrimePOI->SetXTitle("p_{t} [GeV]");
- fPtImq1nPrimePrimePOI->SetYTitle("Im[q_{n}^{''}]");
-
- //fPtReq2nPrimePrimePOI
- fPtReq2nPrimePrimePOI = new TProfile("fPtReq2nPrimePrimePOI","Re[q_{2n}^{''}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtReq2nPrimePrimePOI->SetXTitle("p_{t} [GeV]");
- fPtReq2nPrimePrimePOI->SetYTitle("Re[q_{2n}^{''}]");
-
- //fPtImq2nPrimePrimePOI
- fPtImq2nPrimePrimePOI = new TProfile("fPtImq2nPrimePrimePOI","Im[q_{2n}^{''}]",fnBinsPt,fPtMin,fPtMax,"s");
- fPtImq2nPrimePrimePOI->SetXTitle("p_{t} [GeV]");
- fPtImq2nPrimePrimePOI->SetYTitle("Im[q_{2n}^{''}]");
-
- //fmPrimePrimePerPtBin
- fmPrimePrimePerPtBin = new TProfile("fmPrimePrimePerPtBin","# of particles selected as POI and NOT as RP per #p_{t} bin",fnBinsPt,fPtMin,fPtMax,"s");
- fmPrimePrimePerPtBin->SetXTitle("p_{t} [GeV]");
- fmPrimePrimePerPtBin->SetYTitle("Counts");
-
- //fEtaReq1nPrimePOI
- fEtaReq1nPrimePOI = new TProfile("fEtaReq1nPrimePOI","Re[q_{n}^{'}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaReq1nPrimePOI->SetXTitle("#eta");
- fEtaReq1nPrimePOI->SetYTitle("Re[q_{n}^{'}]");
-
- //fEtaImq1nPrimePOI
- fEtaImq1nPrimePOI = new TProfile("fEtaImq1nPrimePOI","Im[q_{n}^{'}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaImq1nPrimePOI->SetXTitle("#eta");
- fEtaImq1nPrimePOI->SetYTitle("Im[q_{n}^{'}]");
-
- //fEtaReq2nPrimePOI
- fEtaReq2nPrimePOI = new TProfile("fEtaReq2nPrimePOI","Re[q_{2n}^{'}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaReq2nPrimePOI->SetXTitle("#eta");
- fEtaReq2nPrimePOI->SetYTitle("Re[q_{2n}^{'}]");
-
- //fEtaImq2nPrimePOI
- fEtaImq2nPrimePOI = new TProfile("fEtaImq2nPrimePOI","Im[q_{2n}^{'}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaImq2nPrimePOI->SetXTitle("#eta");
- fEtaImq2nPrimePOI->SetYTitle("Im[q_{2n}^{'}]");
-
- //fmPrimePerEtaBin
- fmPrimePerEtaBin = new TProfile("fmPrimePerEtaBin","# of particles selected both as RP and POI per #p_{t} bin",fnBinsEta,fEtaMin,fEtaMax,"s");
- fmPrimePerEtaBin->SetXTitle("#eta");
- fmPrimePerEtaBin->SetYTitle("Counts");
-
- //fEtaReq1nPrimePrimePOI
- fEtaReq1nPrimePrimePOI = new TProfile("fEtaReq1nPrimePrimePOI","Re[q_{n}^{''}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaReq1nPrimePrimePOI->SetXTitle("#eta");
- fEtaReq1nPrimePrimePOI->SetYTitle("Re[q_{n}^{''}]");
-
- //fEtaImq1nPrimePrimePOI
- fEtaImq1nPrimePrimePOI = new TProfile("fEtaImq1nPrimePrimePOI","Im[q_{n}^{''}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaImq1nPrimePrimePOI->SetXTitle("#eta");
- fEtaImq1nPrimePrimePOI->SetYTitle("Im[q_{n}^{''}]");
-
- //fEtaReq2nPrimePrimePOI
- fEtaReq2nPrimePrimePOI = new TProfile("fEtaReq2nPrimePrimePOI","Re[q_{2n}^{''}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaReq2nPrimePrimePOI->SetXTitle("#eta");
- fEtaReq2nPrimePrimePOI->SetYTitle("Re[q_{2n}^{''}]");
-
- //fEtaImq2nPrimePrimePOI
- fEtaImq2nPrimePrimePOI = new TProfile("fEtaImq2nPrimePrimePOI","Im[q_{2n}^{''}]",fnBinsEta,fEtaMin,fEtaMax,"s");
- fEtaImq2nPrimePrimePOI->SetXTitle("#eta");
- fEtaImq2nPrimePrimePOI->SetYTitle("Im[q_{2n}^{''}]");
-
- //fmPrimePrimePerEtaBin
- fmPrimePrimePerEtaBin = new TProfile("fmPrimePrimePerEtaBin","# of particles selected as POI and NOT as RP per #p_{t} bin",fnBinsEta,fEtaMin,fEtaMax,"s");
- fmPrimePrimePerEtaBin->SetXTitle("#eta");
- fmPrimePrimePerEtaBin->SetYTitle("Counts");
-
- //f2PerPtBin1n1nPOI
- f2PerPtBin1n1nPOI = new TProfile("f2PerPtBin1n1nPOI","<2'>_{n|n}",fnBinsPt,fPtMin,fPtMax,"s");
- f2PerPtBin1n1nPOI->SetXTitle("#eta");
- fDiffFlowList->Add(f2PerPtBin1n1nPOI);
-
- //f2PerPtBin2n2nPOI
- f2PerPtBin2n2nPOI = new TProfile("f2PerPtBin2n2nPOI","<2'>_{2n|2n}",fnBinsPt,fPtMin,fPtMax,"s");
- f2PerPtBin2n2nPOI->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f2PerPtBin2n2nPOI);
-
- //f3PerPtBin2n1n1nPOI
- f3PerPtBin2n1n1nPOI = new TProfile("f3PerPtBin2n1n1nPOI","<3'>_{2n|n,n}",fnBinsPt,fPtMin,fPtMax,"s");
- f3PerPtBin2n1n1nPOI->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f3PerPtBin2n1n1nPOI);
-
- //f3PerPtBin1n1n2nPOI
- f3PerPtBin1n1n2nPOI = new TProfile("f3PerPtBin1n1n2nPOI","<3'>_{n,n|2n}",fnBinsPt,fPtMin,fPtMax,"s");
- f3PerPtBin1n1n2nPOI->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f3PerPtBin1n1n2nPOI);
-
- //f4PerPtBin1n1n1n1nPOI
- f4PerPtBin1n1n1n1nPOI = new TProfile("f4PerPtBin1n1n1n1nPOI","<4'>_{n,n|n,n}",fnBinsPt,fPtMin,fPtMax,"s");
- f4PerPtBin1n1n1n1nPOI->SetXTitle("p_{t} [GeV]");
- fDiffFlowList->Add(f4PerPtBin1n1n1n1nPOI);
-
- //f2PerEtaBin1n1nPOI
- f2PerEtaBin1n1nPOI = new TProfile("f2PerEtaBin1n1nPOI","<2'>_{n|n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f2PerEtaBin1n1nPOI->SetXTitle("#eta");
- fDiffFlowList->Add(f2PerEtaBin1n1nPOI);
-
- //f2PerEtaBin2n2nPOI
- f2PerEtaBin2n2nPOI = new TProfile("f2PerEtaBin2n2nPOI","<2'>_{2n|2n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f2PerEtaBin2n2nPOI->SetXTitle("#eta");
- fDiffFlowList->Add(f2PerEtaBin2n2nPOI);
-
- //f3PerEtaBin2n1n1nPOI
- f3PerEtaBin2n1n1nPOI = new TProfile("f3PerEtaBin2n1n1nPOI","<3'>_{2n|n,n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f3PerEtaBin2n1n1nPOI->SetXTitle("#eta");
- fDiffFlowList->Add(f3PerEtaBin2n1n1nPOI);
-
- //f3PerEtaBin1n1n2nPOI
- f3PerEtaBin1n1n2nPOI = new TProfile("f3PerEtaBin1n1n2POI","<3'>_{n,n|2n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f3PerEtaBin1n1n2nPOI->SetXTitle("#eta");
- fDiffFlowList->Add(f3PerEtaBin1n1n2nPOI);
-
- //f4PerEtaBin1n1n1n1nPOI
- f4PerEtaBin1n1n1n1nPOI = new TProfile("f4PerEtaBin1n1n1n1nPOI","<4'>_{n,n|n,n}",fnBinsEta,fEtaMin,fEtaMax,"s");
- f4PerEtaBin1n1n1n1nPOI->SetXTitle("#eta");
- fDiffFlowList->Add(f4PerEtaBin1n1n1n1nPOI);
-
- //common control histogram (2nd order)
- fCommonHists2nd = new AliFlowCommonHist("AliFlowCommonHist2ndOrderQC");
- fHistList->Add(fCommonHists2nd);
-
- //common control histogram (4th order)
- fCommonHists4th = new AliFlowCommonHist("AliFlowCommonHist4thOrderQC");
- fHistList->Add(fCommonHists4th);
-
- //common control histogram (6th order)
- fCommonHists6th = new AliFlowCommonHist("AliFlowCommonHist6thOrderQC");
- fHistList->Add(fCommonHists6th);
-
- //common control histogram (8th order)
- fCommonHists8th = new AliFlowCommonHist("AliFlowCommonHist8thOrderQC");
- fHistList->Add(fCommonHists8th);
-
- //common histograms for final results (2nd order)
- fCommonHistsResults2nd = new AliFlowCommonHistResults("AliFlowCommonHistResults2ndOrderQC");
- fHistList->Add(fCommonHistsResults2nd);
-
- //common histograms for final results (4th order)
- fCommonHistsResults4th = new AliFlowCommonHistResults("AliFlowCommonHistResults4thOrderQC");
- fHistList->Add(fCommonHistsResults4th);
-
- //common histograms for final results (6th order)
- fCommonHistsResults6th = new AliFlowCommonHistResults("AliFlowCommonHistResults6thOrderQC");
- fHistList->Add(fCommonHistsResults6th);
-
- //common histograms for final results (8th order)
- fCommonHistsResults8th = new AliFlowCommonHistResults("AliFlowCommonHistResults8thOrderQC");
- fHistList->Add(fCommonHistsResults8th);
-
- //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);
+ // initialize all constants and book everything
+
+ // access constants:
+ this->AccessConstants();
+
+ // booking:
+ this->BookAndNestAllLists();
+ this->BookCommonHistograms();
+ this->BookAndFillWeightsHistograms();
+ this->BookEverythingForIntegratedFlow();
+ this->BookEverythingForDifferentialFlow();
+ this->BookEverythingForDistributions();
+ this->BookEverythingForNestedLoops();
+
+ // set harmonic in common control histograms (to be improved (should I do this somewhere else?)):
+ (fCommonHists->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::Init()
- //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);
-
- // add list fWeightsList with weights to the main list
- fHistList->Add(fWeightsList);
-
- // add list fDiffFlowList with histograms and profiles needed for differential flow to the main list
- fHistList->Add(fDiffFlowList);
-}//end of Init()
//================================================================================================================
+
void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
{
- // running over data
+ // running over data only in this method
- Int_t nPrim = anEvent->NumberOfTracks(); // nPrim = nRP + nPOI + rest
- Int_t nRP = anEvent->GetEventNSelTracksIntFlow(); // nRP = number of particles used to determine the reaction plane
+ // 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);
- Int_t n = 2; // int flow harmonic (to be improved)
+ 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 ****
+ // *******************************************************
- Double_t dPhi = 0.;
- Double_t dPt = 0.;
- Double_t dEta = 0.;
+ 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.
- Int_t nBinsPhi = 0;
-
- //needed for debugging: (to be improved - add explanation here)
- //Bool_t bNestedLoops=kTRUE;
- //if(!(bNestedLoops)||(nPrim>0&&nPrim<12))
- //{
- //if(nPrim>0&&nPrim<12)
- //{
+ AliFlowTrackSimple *aftsTrack = NULL;
+ for(Int_t i=0;i<nPrim;i++)
+ {
+ aftsTrack=anEvent->GetTrack(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)));
+ }
- //---------------------------------------------------------------------------------------------------------
- // weights:
- Bool_t useWeights = fUsePhiWeights||fUsePtWeights||fUseEtaWeights;
-
- TH1F *phiWeights = NULL; // histogram with phi weights
- TH1D *ptWeights = NULL; // histogram with pt weights
- TH1D *etaWeights = NULL; // histogram with eta weights
+ // 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);
+ }
+ }
- // to be improved: will in general weights be different for Q-vectors evaluated in different harmonics ???
- Double_t wPhi = 1.; // phi weight
- Double_t wPt = 1.; // pt weight
- Double_t wEta = 1.; // eta weight
+ // differential flow:
+ // (r_{m*m,k}(pt,eta)):
+ for(Int_t m=0;m<4;m++)
+ {
+ for(Int_t k=0;k<9;k++)
+ {
+ fReEBE[0][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.);
+ fImEBE[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++)
+ {
+ fs[0][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k),1.);
+ }
+
+ if(aftsTrack->InPOISelection())
+ {
+ // (q_{m*m,k}(pt,eta)):
+ for(Int_t m=0;m<4;m++)
+ {
+ for(Int_t k=0;k<9;k++)
+ {
+ fReEBE[2][m][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k)*TMath::Cos((m+1.)*n*dPhi),1.);
+ fImEBE[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++)
+ {
+ fs[2][k]->Fill(dPt,dEta,pow(wPhi*wPt*wEta,k),1.);
+ }
+
+ } // end of if(aftsTrack->InPOISelection())
+ } // end of if(pTrack->InRPSelection())
+
+ if(aftsTrack->InPOISelection())
+ {
+ dPhi = aftsTrack->Phi();
+ dPt = aftsTrack->Pt();
+ dEta = aftsTrack->Eta();
+
+ // p_n(m*n,0):
+ for(Int_t m=0;m<4;m++)
+ {
+ fReEBE[1][m][0]->Fill(dPt,dEta,TMath::Cos((m+1.)*n*dPhi),1.);
+ fImEBE[1][m][0]->Fill(dPt,dEta,TMath::Sin((m+1.)*n*dPhi),1.);
+ }
+
+ } // end of if(pTrack->InPOISelection() )
- Double_t dSumOfWeights = 0.;
- Double_t dSumOfWeightsToPower2 = 0.; // sum_{i=1}^{n} pow((wPhi*wPt*wEta)_i, 2)
- Double_t dSumOfWeightsToPower3 = 0.; // sum_{i=1}^{n} pow((wPhi*wPt*wEta)_i, 3)
- Double_t dSumOfWeightsToPower4 = 0.; // sum_{i=1}^{n} pow((wPhi*wPt*wEta)_i, 4)
- Double_t dSumOfWeightsToPower5 = 0.; // sum_{i=1}^{n} pow((wPhi*wPt*wEta)_i, 5)
- Double_t dSumOfWeightsToPower6 = 0.; // sum_{i=1}^{n} pow((wPhi*wPt*wEta)_i, 6)
- Double_t dSumOfWeightsToPower7 = 0.; // sum_{i=1}^{n} pow((wPhi*wPt*wEta)_i, 7)
- Double_t dSumOfWeightsToPower8 = 0.; // sum_{i=1}^{n} pow((wPhi*wPt*wEta)_i, 8)
-
- if(useWeights)
+ } else // to if(aftsTrack)
+ {
+ cout<<endl;
+ cout<<" WARNING: no particle! (i.e. aftsTrack is a NULL pointer in AFAWQC::Make().)"<<endl;
+ cout<<endl;
+ }
+ } // end of for(Int_t i=0;i<nPrim;i++)
+
+ // calculate the final expressions for S^{M}_{p,k}:
+ for(Int_t p=0;p<8;p++)
{
- if(!fWeightsList)
+ for(Int_t k=0;k<9;k++)
{
- cout<<" WARNING: fWeightsList is NULL pointer. "<<endl;
- exit(0);
- }
- if(fUsePhiWeights)
+ (*fSMpk)(p,k)=pow((*fSMpk)(p,k),p+1);
+ }
+ }
+
+ // *****************************
+ // **** CALL THE METHODS *******
+ // *****************************
+
+ if(!fEvaluateNestedLoopsForIntFlow)
+ {
+ // without weights:
+ if(nRP>1) this->CalculateCorrelationsForIntegratedFlow();
+ if(nRP>0) this->CalculateCorrectionsForNonUniformAcceptanceForIntFlowCosTerms();
+ if(nRP>0) this->CalculateCorrectionsForNonUniformAcceptanceForIntFlowSinTerms();
+ if(nRP>3) this->CalculateQProductsForIntFlow();
+ if(nRP>1) this->CalculateSumAndProductOfEventWeights();
+ // with weights:
+ if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)
{
- phiWeights = dynamic_cast<TH1F *>(fWeightsList->FindObject("phi_weights"));
- if(!phiWeights)
- {
- cout<<" WARNING: couldn't access the histogram with phi weights. "<<endl;
- exit(0);
- }
+ if(nRP>1) this->CalculateWeightedCorrelationsForIntegratedFlow();
+ if(nRP>3) this->CalculateWeightedQProductsForIntFlow();
}
- if(fUsePtWeights)
- {
- ptWeights = dynamic_cast<TH1D *>(fWeightsList->FindObject("pt_weights"));
- if(!ptWeights)
- {
- cout<<" WARNING: couldn't access the histogram with pt weights. "<<endl;
- exit(0);
- }
+ }
+
+ if(!fEvaluateNestedLoopsForDiffFlow)
+ {
+ // without weights:
+ if(nRP>1) this->CalculateCorrelationsForDifferentialFlow("RP");
+ if(nRP>1) this->CalculateCorrelationsForDifferentialFlow("POI");
+
+ // with weights:
+ if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)
+ {
+ if(nRP>1) this->CalculateWeightedCorrelationsForDifferentialFlow("RP");
+ if(nRP>1) this->CalculateWeightedCorrelationsForDifferentialFlow("POI");
}
- if(fUseEtaWeights)
+ }
+
+ // **************************************************************
+ // **** 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
{
- etaWeights = dynamic_cast<TH1D *>(fWeightsList->FindObject("eta_weights"));
- if(!etaWeights)
+ // without weights:
+ if(!(fUsePhiWeights||fUsePtWeights||fUseEtaWeights))
{
- cout<<" WARNING: couldn't access the histogram with eta weights. "<<endl;
- exit(0);
+ this->CalculateCorrelationsForIntegratedFlow();
+ this->CalculateCorrectionsForNonUniformAcceptanceForIntFlowCosTerms();
+ this->CalculateCorrectionsForNonUniformAcceptanceForIntFlowSinTerms();
}
- }
+ // with weights:
+ if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)
+ {
+ this->CalculateWeightedCorrelationsForIntegratedFlow();
+ }
+
+ this->EvaluateNestedLoopsForIntegratedFlow(anEvent);
+ }
}
- //---------------------------------------------------------------------------------------------------------
-
-
-
-
-
-
- //---------------------------------------------------------------------------------------------------------
- // non-weighted and weighted Q-vectors of an event built-up from RP particles evaluated in harmonics n, 2n, 3n and 4n:
- AliFlowVector afvQvector1n, afvQvector2n, afvQvector3n, afvQvector4n;
- AliFlowVector afvQvector1nWeighted;
-
- // non-weighted Q-vector in harmonic n:
- afvQvector1n.Set(0.,0.);
- afvQvector1n.SetMult(0);
- afvQvector1n = anEvent->GetQ(1*n);
-
- // weighted Q-vector in harmonic n:
- afvQvector1nWeighted = anEvent->GetQ(1*n,fWeightsList,fUsePhiWeights,fUsePtWeights,fUseEtaWeights);
- dSumOfWeights = afvQvector1nWeighted.GetMult(); // to be improved (the name of this method)
- dSumOfWeightsToPower2 = afvQvector1nWeighted.GetSumOfWeightsToPower2();
- dSumOfWeightsToPower3 = afvQvector1nWeighted.GetSumOfWeightsToPower3();
- dSumOfWeightsToPower4 = afvQvector1nWeighted.GetSumOfWeightsToPower4();
- dSumOfWeightsToPower5 = afvQvector1nWeighted.GetSumOfWeightsToPower5();
- dSumOfWeightsToPower6 = afvQvector1nWeighted.GetSumOfWeightsToPower6();
- dSumOfWeightsToPower7 = afvQvector1nWeighted.GetSumOfWeightsToPower7();
- dSumOfWeightsToPower8 = afvQvector1nWeighted.GetSumOfWeightsToPower8();
-
- // non-weighted Q-vector in harmonic 2n:
- afvQvector2n.Set(0.,0.);
- afvQvector2n.SetMult(0);
- afvQvector2n = anEvent->GetQ(2*n); // to be improved: weights
-
- // non-weighted Q-vector in harmonic 3n:
- afvQvector3n.Set(0.,0.);
- afvQvector3n.SetMult(0);
- afvQvector3n = anEvent->GetQ(3*n); // to be improved: weights
-
- // non-weighted Q-vector in harmonic 4n:
- afvQvector4n.Set(0.,0.);
- afvQvector4n.SetMult(0);
- afvQvector4n = anEvent->GetQ(4*n); // to be improved: weights
-
-
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
- // !!!! to be removed !!!!
- fQvectorForEachEventX->Fill(1.*(++fEventCounter),afvQvector1n.X());
- fQvectorForEachEventY->Fill(1.*(fEventCounter),afvQvector1n.Y());
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
-
-
-
- //---------------------------------------------------------------------------------------------------------
- //multiplicity of RP particles:
- Double_t dMult = afvQvector1n.GetMult(); // to be improved (name, this is actually weighted multiplicity)
+ 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->CalculateCorrelationsForDifferentialFlow("RP");
+ this->CalculateCorrelationsForDifferentialFlow("POI");
+ }
+ // with weights:
+ if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)
+ {
+ this->CalculateWeightedCorrelationsForDifferentialFlow("RP");
+ this->CalculateWeightedCorrelationsForDifferentialFlow("POI");
+ }
+
+ this->EvaluateNestedLoopsForDifferentialFlow(anEvent);
+ }
+ }
- fAvMultIntFlowQC->Fill(0.,dMult,1.); // to be removed (this info is also stored in one of control histograms)
+ // ********************************
+ // **** RESET E-B-E QUANTITIES ****
+ // ********************************
- //---------------------------------------------------------------------------------------------------------
- //
- // *******************
- // **** Q-vectors ****
- // *******************
- //
- Double_t reQ2nQ1nstarQ1nstar = pow(afvQvector1n.X(),2.)*afvQvector2n.X()+2.*afvQvector1n.X()*afvQvector1n.Y()*afvQvector2n.Y()-pow(afvQvector1n.Y(),2.)*afvQvector2n.X();//Re[Q_{2n} Q_{n}^* Q_{n}^*]
- //Double_t imQ2nQ1nstarQ1nstar = pow(Qvector1n.X(),2.)*Qvector2n.Y()-2.*Qvector1n.X()*Qvector1n.Y()*Qvector2n.X()-pow(Qvector1n.Y(),2.)*Qvector2n.Y();//Im[Q_{2n} Q_{n}^* Q_{n}^*]
- Double_t reQ1nQ1nQ2nstar = reQ2nQ1nstarQ1nstar;//Re[Q_{n} Q_{n} Q_{2n}^*] = Re[Q_{2n} Q_{n}^* Q_{n}^*]
- Double_t reQ3nQ1nQ2nstarQ2nstar = (pow(afvQvector2n.X(),2.)-pow(afvQvector2n.Y(),2.))*(afvQvector3n.X()*afvQvector1n.X()-afvQvector3n.Y()*afvQvector1n.Y())+2.*afvQvector2n.X()*afvQvector2n.Y()*(afvQvector3n.X()*afvQvector1n.Y()+afvQvector3n.Y()*afvQvector1n.X());
- //Double_t imQ3nQ1nQ2nstarQ2nstar = calculate and implement this (deleteMe)
- Double_t reQ2nQ2nQ3nstarQ1nstar = reQ3nQ1nQ2nstarQ2nstar;
- Double_t reQ4nQ2nstarQ2nstar = pow(afvQvector2n.X(),2.)*afvQvector4n.X()+2.*afvQvector2n.X()*afvQvector2n.Y()*afvQvector4n.Y()-pow(afvQvector2n.Y(),2.)*afvQvector4n.X();//Re[Q_{4n} Q_{2n}^* Q_{2n}^*]
- //Double_t imQ4nQ2nstarQ2nstar = calculate and implement this (deleteMe)
- Double_t reQ2nQ2nQ4nstar = reQ4nQ2nstarQ2nstar;
- Double_t reQ4nQ3nstarQ1nstar = afvQvector4n.X()*(afvQvector3n.X()*afvQvector1n.X()-afvQvector3n.Y()*afvQvector1n.Y())+afvQvector4n.Y()*(afvQvector3n.X()*afvQvector1n.Y()+afvQvector3n.Y()*afvQvector1n.X());//Re[Q_{4n} Q_{3n}^* Q_{n}^*]
- Double_t reQ3nQ1nQ4nstar = reQ4nQ3nstarQ1nstar;//Re[Q_{3n} Q_{n} Q_{4n}^*] = Re[Q_{4n} Q_{3n}^* Q_{n}^*]
- //Double_t imQ4nQ3nstarQ1nstar = calculate and implement this (deleteMe)
- Double_t reQ3nQ2nstarQ1nstar = afvQvector3n.X()*afvQvector2n.X()*afvQvector1n.X()-afvQvector3n.X()*afvQvector2n.Y()*afvQvector1n.Y()+afvQvector3n.Y()*afvQvector2n.X()*afvQvector1n.Y()+afvQvector3n.Y()*afvQvector2n.Y()*afvQvector1n.X();//Re[Q_{3n} Q_{2n}^* Q_{n}^*]
- Double_t reQ2nQ1nQ3nstar = reQ3nQ2nstarQ1nstar;//Re[Q_{2n} Q_{n} Q_{3n}^*] = Re[Q_{3n} Q_{2n}^* Q_{n}^*]
- //Double_t imQ3nQ2nstarQ1nstar; //calculate and implement this (deleteMe)
- Double_t reQ3nQ1nstarQ1nstarQ1nstar = afvQvector3n.X()*pow(afvQvector1n.X(),3)-3.*afvQvector1n.X()*afvQvector3n.X()*pow(afvQvector1n.Y(),2)+3.*afvQvector1n.Y()*afvQvector3n.Y()*pow(afvQvector1n.X(),2)-afvQvector3n.Y()*pow(afvQvector1n.Y(),3);//Re[Q_{3n} Q_{n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ3nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe)
- Double_t xQ2nQ1nQ2nstarQ1nstar = pow(afvQvector2n.Mod()*afvQvector1n.Mod(),2);//|Q_{2n}|^2 |Q_{n}|^2
- Double_t reQ4nQ2nstarQ1nstarQ1nstar = (afvQvector4n.X()*afvQvector2n.X()+afvQvector4n.Y()*afvQvector2n.Y())*(pow(afvQvector1n.X(),2)-pow(afvQvector1n.Y(),2))+2.*afvQvector1n.X()*afvQvector1n.Y()*(afvQvector4n.Y()*afvQvector2n.X()-afvQvector4n.X()*afvQvector2n.Y());//Re[Q_{4n} Q_{2n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ4nQ2nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe)
- Double_t reQ2nQ1nQ1nstarQ1nstarQ1nstar = (afvQvector2n.X()*afvQvector1n.X()-afvQvector2n.Y()*afvQvector1n.Y())*(pow(afvQvector1n.X(),3)-3.*afvQvector1n.X()*pow(afvQvector1n.Y(),2))+(afvQvector2n.X()*afvQvector1n.Y()+afvQvector1n.X()*afvQvector2n.Y())*(3.*afvQvector1n.Y()*pow(afvQvector1n.X(),2)-pow(afvQvector1n.Y(),3));//Re[Q_{2n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ2nQ1nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe)
- Double_t reQ2nQ2nQ2nstarQ1nstarQ1nstar = pow(afvQvector2n.Mod(),2.)*(afvQvector2n.X()*(pow(afvQvector1n.X(),2.)-pow(afvQvector1n.Y(),2.))+2.*afvQvector2n.Y()*afvQvector1n.X()*afvQvector1n.Y());//Re[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ2nQ2nQ2nstarQ1nstarQ1nstar = pow(Qvector2n.Mod(),2.)*(Qvector2n.Y()*(pow(Qvector1n.X(),2.)-pow(Qvector1n.Y(),2.))-2.*Qvector2n.X()*Qvector1n.X()*Qvector1n.Y());//Im[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*]
- Double_t reQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(afvQvector1n.X(),4.)*afvQvector4n.X()-6.*pow(afvQvector1n.X(),2.)*afvQvector4n.X()*pow(afvQvector1n.Y(),2.)+pow(afvQvector1n.Y(),4.)*afvQvector4n.X()+4.*pow(afvQvector1n.X(),3.)*afvQvector1n.Y()*afvQvector4n.Y()-4.*pow(afvQvector1n.Y(),3.)*afvQvector1n.X()*afvQvector4n.Y();//Re[Q_{4n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(Qvector1n.X(),4.)*Qvector4n.Y()-6.*pow(Qvector1n.X(),2.)*Qvector4n.Y()*pow(Qvector1n.Y(),2.)+pow(Qvector1n.Y(),4.)*Qvector4n.Y()+4.*pow(Qvector1n.Y(),3.)*Qvector1n.X()*Qvector4n.X()-4.*pow(Qvector1n.X(),3.)*Qvector1n.Y()*Qvector4n.X();//Im[Q_{4n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- Double_t reQ3nQ1nQ2nstarQ1nstarQ1nstar = pow(afvQvector1n.Mod(),2.)*(afvQvector1n.X()*afvQvector2n.X()*afvQvector3n.X()-afvQvector3n.X()*afvQvector1n.Y()*afvQvector2n.Y()+afvQvector2n.X()*afvQvector1n.Y()*afvQvector3n.Y()+afvQvector1n.X()*afvQvector2n.Y()*afvQvector3n.Y());//Re[Q_{3n} Q_{n} Q_{2n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ3nQ1nQ2nstarQ1nstarQ1nstar = pow(afvQvector1n.Mod(),2.)*(-afvQvector2n.X()*afvQvector3n.X()*afvQvector1n.Y()-afvQvector1n.X()*afvQvector3n.X()*afvQvector2n.Y()+afvQvector1n.X()*afvQvector2n.X()*afvQvector3n.Y()-afvQvector1n.Y()*afvQvector2n.Y()*afvQvector3n.Y());//Im[Q_{3n} Q_{n} Q_{2n}^* Q_{n}^* Q_{n}^*]
- Double_t reQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar = (pow(afvQvector1n.X(),2.)*afvQvector2n.X()-2.*afvQvector1n.X()*afvQvector2n.X()*afvQvector1n.Y()-afvQvector2n.X()*pow(afvQvector1n.Y(),2.)+afvQvector2n.Y()*pow(afvQvector1n.X(),2.)+2.*afvQvector1n.X()*afvQvector1n.Y()*afvQvector2n.Y()-pow(afvQvector1n.Y(),2.)*afvQvector2n.Y())*(pow(afvQvector1n.X(),2.)*afvQvector2n.X()+2.*afvQvector1n.X()*afvQvector2n.X()*afvQvector1n.Y()-afvQvector2n.X()*pow(afvQvector1n.Y(),2.)-afvQvector2n.Y()*pow(afvQvector1n.X(),2.)+2.*afvQvector1n.X()*afvQvector1n.Y()*afvQvector2n.Y()+pow(afvQvector1n.Y(),2.)*afvQvector2n.Y());//Re[Q_{2n} Q_{2n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ2nQ2nQ1nstarQ1nstarQ1nstarQ1nstar = 2.*(pow(afvQvector1n.X(),2.)*afvQvector2n.X()-afvQvector2n.X()*pow(afvQvector1n.Y(),2.)+2.*afvQvector1n.X()*afvQvector1n.Y()*afvQvector2n.Y())*(pow(afvQvector1n.X(),2.)*afvQvector2n.Y()-2.*afvQvector1n.X()*afvQvector1n.Y()*afvQvector2n.X()-pow(afvQvector1n.Y(),2.)*afvQvector2n.Y());//Im[Q_{2n} Q_{2n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- Double_t reQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow(afvQvector1n.Mod(),2.)*(pow(afvQvector1n.X(),3.)*afvQvector3n.X()-3.*afvQvector1n.X()*afvQvector3n.X()*pow(afvQvector1n.Y(),2.)+3.*pow(afvQvector1n.X(),2.)*afvQvector1n.Y()*afvQvector3n.Y()-pow(afvQvector1n.Y(),3.)*afvQvector3n.Y());//Re[Q_{3n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ3nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow(afvQvector1n.Mod(),2.)*(pow(afvQvector1n.Y(),3.)*afvQvector3n.X()-3.*afvQvector1n.Y()*afvQvector3n.X()*pow(afvQvector1n.X(),2.)-3.*pow(afvQvector1n.Y(),2.)*afvQvector1n.X()*afvQvector3n.Y()+pow(afvQvector1n.X(),3.)*afvQvector3n.Y());//Im[Q_{3n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- Double_t xQ2nQ1nQ1nQ2nstarQ1nstarQ1nstar = pow(afvQvector2n.Mod(),2.)*pow(afvQvector1n.Mod(),4.);//|Q_{2n}|^2 |Q_{n}|^4
- Double_t reQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow(afvQvector1n.Mod(),4.)*(pow(afvQvector1n.X(),2.)*afvQvector2n.X()-afvQvector2n.X()*pow(afvQvector1n.Y(),2.)+2.*afvQvector1n.X()*afvQvector1n.Y()*afvQvector2n.Y());//Re[Q_{2n} Q_{n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- //Double_t imQ2nQ1nQ1nQ1nstarQ1nstarQ1nstarQ1nstar = pow(afvQvector1n.Mod(),4.)*(pow(afvQvector1n.X(),2.)*afvQvector2n.Y()-afvQvector2n.Y()*pow(afvQvector1n.Y(),2.)-2.*afvQvector1n.X()*afvQvector2n.X()*afvQvector1n.Y());//Re[Q_{2n} Q_{n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^* Q_{n}^*]
- //---------------------------------------------------------------------------------------------------------
-
- //---------------------------------------------------------------------------------------------------------
- //
- // **************************************
- // **** multi-particle correlations: ****
- // **************************************
- //
- // Remark 1: multi-particle correlations calculated with Q-vectors are stored in fQCorrelations.
- // Remark 2: binning of fQCorrelations is organized as follows:
- //
- // 1st bin: <2>_{n|n} = two1n1n
- // 2nd bin: <2>_{2n|2n} = two2n2n
- // 3rd bin: <2>_{3n|3n} = two3n3n
- // 4th bin: <2>_{4n|4n} = two4n4n
- // 5th bin: -- EMPTY --
- // 6th bin: <3>_{2n|n,n} = three2n1n1n
- // 7th bin: <3>_{3n|2n,n} = three3n2n1n
- // 8th bin: <3>_{4n|2n,2n} = three4n2n2n
- // 9th bin: <3>_{4n|3n,n} = three4n3n1n
- //10th bin: -- EMPTY --
- //11th bin: <4>_{n,n|n,n} = four1n1n1n1n
- //12th bin: <4>_{2n,n|2n,n} = four2n1n2n1n
- //13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n
- //14th bin: <4>_{3n|n,n,n} = four3n1n1n1n
- //15th bin: <4>_{3n,n|3n,n} = four3n1n3n1n
- //16th bin: <4>_{3n,n|2n,2n} = four3n1n2n2n
- //17th bin: <4>_{4n|2n,n,n} = four4n2n1n1n
- //18th bin: -- EMPTY --
- //19th bin: <5>_{2n|n,n,n,n} = five2n1n1n1n1n
- //20th bin: <5>_{2n,2n|2n,n,n} = five2n2n2n1n1n
- //21st bin: <5>_{3n,n|2n,n,n} = five3n1n2n1n1n
- //22nd bin: <5>_{4n|n,n,n,n} = five4n1n1n1n1n
- //23rd bin: -- EMPTY --
- //24th bin: <6>_{n,n,n|n,n,n} = six1n1n1n1n1n1n
- //25th bin: <6>_{2n,n,n|2n,n,n} = six2n1n1n2n1n1n
- //26th bin: <6>_{2n,2n|n,n,n,n} = six2n2n1n1n1n1n
- //27th bin: <6>_{3n,n|n,n,n,n} = six3n1n1n1n1n1n
- //28th bin: -- EMPTY --
- //29th bin: <7>_{2n,n,n|n,n,n,n} = seven2n1n1n1n1n1n1n
- //30th bin: -- EMPTY --
- //31st bin: <8>_{n,n,n,n|n,n,n,n} = eight1n1n1n1n1n1n1n1n
-
-
- // binning of fQProduct (all correlations are evaluated in harmonic n):
- // 1st bin: <2>*<4>
- // 2nd bin: <2>*<6>
- // 3rd bin: <2>*<8>
- // 4th bin: <4>*<6>
- // 5th bin: <4>*<8>
- // 6th bin: <6>*<8>
-
- // 2-particle
- Double_t two1n1n = 0., two2n2n = 0., two3n3n = 0., two4n4n = 0.;
+ // integrated flow:
+ fReQ->Zero();
+ fImQ->Zero();
+ fSMpk->Zero();
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++)
+ {
+ fQCorrelationsEBE[pW]->Reset();
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ fQCorrectionsEBE[pW][sc]->Reset();
+ }
+ }
- if(nRP>1)
+ // differential flow:
+ for(Int_t t=0;t<3;t++) // type (RP, POI, POI&&RP)
{
- //fill the common control histogram (2nd order):
- fCommonHists2nd->FillControlHistograms(anEvent);
-
- if(pow(dSumOfWeights,2.)-dSumOfWeightsToPower2 != 0)
+ for(Int_t m=0;m<4;m++) // multiple of harmonic
{
- two1n1n = (pow(afvQvector1nWeighted.Mod(),2.)-dSumOfWeightsToPower2)/(pow(dSumOfWeights,2.)-dSumOfWeightsToPower2); // <2>_{n|n} = <cos(n*(phi1-phi2))>
+ for(Int_t k=0;k<9;k++) // power of weight
+ {
+ if(fReEBE[t][m][k]) fReEBE[t][m][k]->Reset();
+ if(fImEBE[t][m][k]) fImEBE[t][m][k]->Reset();
+ }
}
-
- // to be improved: Eqs. with weights needed for two2n2n, two3n3n and two4n4n
- two2n2n = (pow(afvQvector2n.Mod(),2.)-dMult)/(dMult*(dMult-1.)); // <2>_{2n|2n} = <cos(2n*(phi1-phi2))>
- two3n3n = (pow(afvQvector3n.Mod(),2.)-dMult)/(dMult*(dMult-1.)); // <2>_{3n|3n} = <cos(3n*(phi1-phi2))>
- two4n4n = (pow(afvQvector4n.Mod(),2.)-dMult)/(dMult*(dMult-1.)); // <2>_{4n|4n} = <cos(4n*(phi1-phi2))>
-
- fQCorrelations->Fill(0.,two1n1n,pow(dSumOfWeights,2.)-dSumOfWeightsToPower2); // OK
- fQCorrelations->Fill(1.,two2n2n,dMult*(dMult-1.)); // to be improved
- fQCorrelations->Fill(2.,two3n3n,dMult*(dMult-1.)); // to be improved
- fQCorrelations->Fill(3.,two4n4n,dMult*(dMult-1.)); // to be improved
-
- f2pDistribution->Fill(two1n1n,pow(dSumOfWeights,2.)-dSumOfWeightsToPower2); // OK
}
- //3-particle
- Double_t three2n1n1n=0., three3n2n1n=0., three4n2n2n=0., three4n3n1n=0.;
- if(dMult>2)
- {
- three2n1n1n = (reQ2nQ1nstarQ1nstar-2.*pow(afvQvector1n.Mod(),2.)-pow(afvQvector2n.Mod(),2.)+2.*dMult)/(dMult*(dMult-1.)*(dMult-2.)); //Re[<3>_{2n|n,n}] = Re[<3>_{n,n|2n}] = <cos(n*(2.*phi1-phi2-phi3))>
- three3n2n1n = (reQ3nQ2nstarQ1nstar-pow(afvQvector3n.Mod(),2.)-pow(afvQvector2n.Mod(),2.)-pow(afvQvector1n.Mod(),2.)+2.*dMult)/(dMult*(dMult-1.)*(dMult-2.)); //Re[<3>_{3n|2n,n}] = Re[<3>_{2n,n|3n}] = <cos(n*(3.*phi1-2.*phi2-phi3))>
- three4n2n2n = (reQ4nQ2nstarQ2nstar-2.*pow(afvQvector2n.Mod(),2.)-pow(afvQvector4n.Mod(),2.)+2.*dMult)/(dMult*(dMult-1.)*(dMult-2.)); //Re[<3>_{4n|2n,2n}] = Re[<3>_{2n,2n|4n}] = <cos(n*(4.*phi1-2.*phi2-2.*phi3))>
- three4n3n1n = (reQ4nQ3nstarQ1nstar-pow(afvQvector4n.Mod(),2.)-pow(afvQvector3n.Mod(),2.)-pow(afvQvector1n.Mod(),2.)+2.*dMult)/(dMult*(dMult-1.)*(dMult-2.)); //Re[<3>_{4n|3n,n}] = Re[<3>_{3n,n|4n}] = <cos(n*(4.*phi1-3.*phi2-phi3))>
-
- fQCorrelations->Fill(5.,three2n1n1n,dMult*(dMult-1.)*(dMult-2.));
- fQCorrelations->Fill(6.,three3n2n1n,dMult*(dMult-1.)*(dMult-2.));
- fQCorrelations->Fill(7.,three4n2n2n,dMult*(dMult-1.)*(dMult-2.));
- fQCorrelations->Fill(8.,three4n3n1n,dMult*(dMult-1.)*(dMult-2.));
+ 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(fs[t][k]) fs[t][k]->Reset();
+ }
}
- //4-particle
- Double_t four1n1n1n1n=0., four2n2n2n2n=0., four2n1n2n1n=0., four3n1n1n1n=0., four4n2n1n1n=0., four3n1n2n2n=0., four3n1n3n1n=0.;
- if(dMult>3)
- {
- //fill the common control histogram (4th order):
- fCommonHists4th->FillControlHistograms(anEvent);
+} // end of AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
- four1n1n1n1n = (2.*dMult*(dMult-3.)+pow(afvQvector1n.Mod(),4.)-4.*(dMult-2.)*pow(afvQvector1n.Mod(),2.)-2.*reQ2nQ1nstarQ1nstar+pow(afvQvector2n.Mod(),2.))/(dMult*(dMult-1)*(dMult-2.)*(dMult-3.));//<4>_{n,n|n,n}
- four2n2n2n2n = (2.*dMult*(dMult-3.)+pow(afvQvector2n.Mod(),4.)-4.*(dMult-2.)*pow(afvQvector2n.Mod(),2.)-2.*reQ4nQ2nstarQ2nstar+pow(afvQvector4n.Mod(),2.))/(dMult*(dMult-1)*(dMult-2.)*(dMult-3.));//<4>_{2n,2n|2n,2n}
- four2n1n2n1n = (xQ2nQ1nQ2nstarQ1nstar-2.*reQ3nQ2nstarQ1nstar-2.*reQ2nQ1nstarQ1nstar)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))-((dMult-5.)*pow(afvQvector1n.Mod(),2.)+(dMult-4.)*pow(afvQvector2n.Mod(),2.)-pow(afvQvector3n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))+(dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.));//Re[<4>_{2n,n|2n,n}]
- four3n1n1n1n = (reQ3nQ1nstarQ1nstarQ1nstar-3.*reQ3nQ2nstarQ1nstar-3.*reQ2nQ1nstarQ1nstar)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))+(2.*pow(afvQvector3n.Mod(),2.)+3.*pow(afvQvector2n.Mod(),2.)+6.*pow(afvQvector1n.Mod(),2.)-6.*dMult)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));//Re[<4>_{3n|n,n,n}]
- four4n2n1n1n = (reQ4nQ2nstarQ1nstarQ1nstar-2.*reQ4nQ3nstarQ1nstar-reQ4nQ2nstarQ2nstar-2.*reQ3nQ2nstarQ1nstar)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))-(reQ2nQ1nstarQ1nstar-2.*pow(afvQvector4n.Mod(),2.)-2.*pow(afvQvector3n.Mod(),2.)-3.*pow(afvQvector2n.Mod(),2.)-4.*pow(afvQvector1n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))-(6.)/((dMult-1.)*(dMult-2.)*(dMult-3.));//Re[<4>_{4n|2n,n,n}]
- four3n1n2n2n = (reQ3nQ1nQ2nstarQ2nstar-reQ4nQ2nstarQ2nstar-reQ3nQ1nQ4nstar-2.*reQ3nQ2nstarQ1nstar)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))-(2.*reQ1nQ1nQ2nstar-pow(afvQvector4n.Mod(),2.)-2.*pow(afvQvector3n.Mod(),2.)-4.*pow(afvQvector2n.Mod(),2.)-4.*pow(afvQvector1n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))-(6.)/((dMult-1.)*(dMult-2.)*(dMult-3.));//Re[<4>_{3n,n|2n,2n}]
- four3n1n3n1n = (pow(afvQvector3n.Mod(),2.)*pow(afvQvector1n.Mod(),2.)-2.*reQ4nQ3nstarQ1nstar-2.*reQ3nQ2nstarQ1nstar)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))+(pow(afvQvector4n.Mod(),2.)-(dMult-4.)*pow(afvQvector3n.Mod(),2.)+pow(afvQvector2n.Mod(),2.)-(dMult-4.)*pow(afvQvector1n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.))+(dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.));//<4>_{3n,n|3n,n}
- //four_3n1n3n1n = Q3nQ1nQ3nstarQ1nstar/(M*(M-1.)*(M-2.)*(M-3.))-(2.*three_3n2n1n+2.*three_4n3n1n)/(M-3.)-(two_4n4n+M*two_3n3n+two_2n2n+M*two_1n1n)/((M-2.)*(M-3.))-M/((M-1.)*(M-2.)*(M-3.));//<4>_{3n,n|3n,n}
-
- fQCorrelations->Fill(10.,four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
- fQCorrelations->Fill(11.,four2n1n2n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
- fQCorrelations->Fill(12.,four2n2n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
- fQCorrelations->Fill(13.,four3n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
- fQCorrelations->Fill(14.,four3n1n3n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
- fQCorrelations->Fill(15.,four3n1n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
- fQCorrelations->Fill(16.,four4n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
-
- f4pDistribution->Fill(four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
-
- fQProduct->Fill(0.,two1n1n*four1n1n1n1n,dMult*(dMult-1.)*dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
- }
- //5-particle
- Double_t five2n1n1n1n1n=0., five2n2n2n1n1n=0., five3n1n2n1n1n=0., 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(afvQvector3n.Mod(),2.)+3.*pow(afvQvector2n.Mod()*afvQvector1n.Mod(),2.)-3.*(dMult-4.)*pow(afvQvector2n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.))-3.*(pow(afvQvector1n.Mod(),4.)-2.*(2*dMult-5.)*pow(afvQvector1n.Mod(),2.)+2.*dMult*(dMult-4.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));//Re[<5>_{2n,n|n,n,n}]
-
- 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(afvQvector4n.Mod(),2.)+4.*pow(afvQvector3n.Mod(),2.)+1.*pow(afvQvector2n.Mod(),4.)-2.*(3.*dMult-10.)*pow(afvQvector2n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.))-(4.*pow(afvQvector1n.Mod(),2.)*pow(afvQvector2n.Mod(),2.)-4.*(dMult-5.)*pow(afvQvector1n.Mod(),2.)+4.*dMult*(dMult-6.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));//Re[<5>_{2n,2n|2n,n,n}]
+//================================================================================================================================
- //five_2n2n2n1n1n = reQ2nQ2nQ2nstarQ1nstarQ1nstar/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-(4.*four_2n1n2n1n+2.*four_3n1n2n2n+1.*four_2n2n2n2n+four_4n2n1n1n)/(M-4.)-(2.*three_4n3n1n+three_4n2n2n+three_4n2n2n+2.*three_3n2n1n)/((M-3.)*(M-4.))-(4.*three_3n2n1n+(2.*M-1.)*three_2n1n1n+2.*three_2n1n1n)/((M-3.)*(M-4.))-(two_4n4n+2.*two_3n3n+4.*(M-1.)*two_2n2n+2.*(2.*M-1.)*two_1n1n)/((M-2.)*(M-3.)*(M-4.))-(2.*M-1.)/((M-1.)*(M-2.)*(M-3.)*(M-4.)); //OK!
-
- 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(afvQvector4n.Mod(),2.)+8.*pow(afvQvector3n.Mod(),2.)+12.*pow(afvQvector2n.Mod(),2.)+24.*pow(afvQvector1n.Mod(),2.)-24.*dMult)/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));//Re[<5>_{4n|n,n,n,n}]
-
- //five_4n1n1n1n1n = reQ4nQ1nstarQ1nstarQ1nstarQ1nstar/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.)) - (4.*four_3n1n1n1n+6.*four_4n2n1n1n)/(M-4.) - (6.*three_2n1n1n + 12.*three_3n2n1n + 4.*three_4n3n1n + 3.*three_4n2n2n)/((M-3.)*(M-4.)) - (4.*two_1n1n + 6.*two_2n2n + 4.*two_3n3n + 1.*two_4n4n)/((M-2.)*(M-3.)*(M-4.)) - 1./((M-1.)*(M-2.)*(M-3.)*(M-4.)); //OK!
-
- 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(afvQvector4n.Mod(),2.)-2.*(dMult-5.)*pow(afvQvector3n.Mod(),2.)+2.*pow(afvQvector3n.Mod(),2.)*pow(afvQvector1n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.))+(2.*(dMult-6.)*pow(afvQvector2n.Mod(),2.)-2.*pow(afvQvector2n.Mod(),2.)*pow(afvQvector1n.Mod(),2.)-pow(afvQvector1n.Mod(),4.)+2.*(3.*dMult-11.)*pow(afvQvector1n.Mod(),2.))/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.))-4.*(dMult-6.)/((dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));//Re[<5>_{3n,n|2n,n,n}]
-
- //five3n1n2n1n1n = reQ3nQ1nQ2nstarQ1nstarQ1nstar/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - (four4n2n1n1n+four1n1n1n1n+four3n1n1n1n+2.*four2n1n2n1n+2.*three3n2n1n+2.*four3n1n3n1n+four3n1n2n2n)/(dMult-4.) - (2.*three4n3n1n+three4n2n2n+6.*three3n2n1n+three4n3n1n+2.*three3n2n1n+3.*three2n1n1n+2.*three2n1n1n+4.*two1n1n+2.*two2n2n+2.*two3n3n)/((dMult-3.)*(dMult-4.)) - (5.*two1n1n + 4.*two2n2n + 3.*two3n3n + 1.*two4n4n + 2.)/((dMult-2.)*(dMult-3.)*(dMult-4.)) - 1./((dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) ;//Re[<5>_{3n,n|2n,n,n}] //OK!
-
- //five3n1n2n1n1n = reQ3nQ1nQ2nstarQ1nstarQ1nstar/(dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) - (four4n2n1n1n+four1n1n1n1n+four3n1n1n1n+2.*four2n1n2n1n+2.*four3n1n3n1n+four3n1n2n2n)/(dMult-4.) - (2.*three4n3n1n+three4n2n2n+2.*dMult*three3n2n1n+three4n3n1n+2.*three3n2n1n+3.*three2n1n1n+2.*three2n1n1n)/((dMult-3.)*(dMult-4.)) - ((4.*dMult-3.)*two1n1n + 2.*dMult*two2n2n + (2.*dMult-1.)*two3n3n + two4n4n)/((dMult-2.)*(dMult-3.)*(dMult-4.)) - (2.*dMult-1.)/((dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)) ;//Re[<5>_{3n,n|2n,n,n}] //OK!
-
- fQCorrelations->Fill(18.,five2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
- fQCorrelations->Fill(19.,five2n2n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
- fQCorrelations->Fill(20.,five3n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
- fQCorrelations->Fill(21.,five4n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
- }
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
- // !!!! to be removed: temporary fix !!!!
- two1n1n = (pow(afvQvector1n.Mod(),2.)-dMult)/(dMult*(dMult-1.));
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
-
- //6-particle
- Double_t six1n1n1n1n1n1n=0., six2n2n1n1n1n1n=0., six3n1n1n1n1n1n=0., six2n1n1n2n1n1n=0.;
- if(dMult>5)
- {
- //fill the common control histogram (6th order):
- fCommonHists6th->FillControlHistograms(anEvent);
-
- six1n1n1n1n1n1n = (pow(afvQvector1n.Mod(),6.)+9.*xQ2nQ1nQ2nstarQ1nstar-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(afvQvector3n.Mod(),2.))/(dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5))-9.*(pow(afvQvector1n.Mod(),4.)+pow(afvQvector2n.Mod(),2.))/(dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-5))+(18.*pow(afvQvector1n.Mod(),2.))/(dMult*(dMult-1)*(dMult-3)*(dMult-4))-(6.)/((dMult-1)*(dMult-2)*(dMult-3));//<6>_{n,n,n|n,n,n}
-
- six2n1n1n2n1n1n = (xQ2nQ1nQ1nQ2nstarQ1nstarQ1nstar-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.));//<6>_{2n,n,n|2n,n,n}
-
- 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.));//<6>_{2n,2n,n|n,n,n}
-
- 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.));//<6>_{3n,n|n,n,n,n}
-
- fQCorrelations->Fill(23.,six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
- fQCorrelations->Fill(24.,six2n1n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
- fQCorrelations->Fill(25.,six2n2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
- fQCorrelations->Fill(26.,six3n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
+void AliFlowAnalysisWithQCumulants::Finish()
+{
+ // calculate the final results
- f6pDistribution->Fill(six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
-
- fQProduct->Fill(1.,two1n1n*six1n1n1n1n1n1n,dMult*(dMult-1.)*dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
- fQProduct->Fill(3.,four1n1n1n1n*six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
- }
-
- //7-particle
- Double_t seven2n1n1n1n1n1n1n=0.;
- if(dMult>6)
+ // 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();
+
+ // **************************
+ // **** ACCESS THE FLAGS ****
+ // **************************
+
+ fUsePhiWeights = (Int_t)fUseParticleWeights->GetBinContent(1);
+ fUsePtWeights = (Int_t)fUseParticleWeights->GetBinContent(2);
+ fUseEtaWeights = (Int_t)fUseParticleWeights->GetBinContent(3);
+ fEvaluateNestedLoopsForIntFlow = (Int_t)fEvaluateNestedLoops->GetBinContent(1);
+ fEvaluateNestedLoopsForDiffFlow = (Int_t)fEvaluateNestedLoops->GetBinContent(2);
+
+ // *********************************************************
+ // **** CALCULATE THE FINAL RESULTS FOR INTEGRATED FLOW ****
+ // *********************************************************
+
+ // without weights:
+ this->FinalizeCorrelationsForIntFlow(kFALSE,"exact");
+ this->CalculateFinalCorrectionsForNonUniformAcceptanceForCumulantsForIntFlow(kFALSE,"exact");
+ this->CalculateCovariancesForIntFlow(kFALSE,"exact");
+ this->CalculateCumulantsForIntFlow(kFALSE,"exact");
+ this->ApplyCorrectionForNonUniformAcceptanceToCumulantsForIntFlow(kFALSE,"exact");
+ this->CalculateIntFlow(kFALSE,"exact",kFALSE); // pW = 0, eW = 0, not corrected for non-uniform acceptance
+ this->CalculateIntFlow(kFALSE,"exact",kTRUE); // pW = 0, eW = 0, corrected for non-uniform acceptance
+
+ // with weights:
+ if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)
{
- 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.));
-
- fQCorrelations->Fill(28.,seven2n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.));
+ this->FinalizeCorrelationsForIntFlow(kTRUE,"exact");
+ // this->CalculateFinalCorrectionsForNonUniformAcceptanceForCumulantsForIntFlow(kTRUE,"exact");
+ this->CalculateCovariancesForIntFlow(kTRUE,"exact");
+ this->CalculateCumulantsForIntFlow(kTRUE,"exact");
+ // this->ApplyCorrectionForNonUniformAcceptanceToCumulantsForIntFlow(kTRUE,"exact");
+ this->CalculateIntFlow(kTRUE,"exact",kFALSE); // weighted and not corrected for non-uniform acceptance
+ // this->CalculateIntFlow(kTRUE,"exact",kTRUE); // weighted and corrected for non-uniform acceptance
}
- //8-particle
- Double_t eight1n1n1n1n1n1n1n1n=0.;
- if(dMult>7)
- {
- //fill the common control histogram (8th order):
- fCommonHists8th->FillControlHistograms(anEvent);
-
- eight1n1n1n1n1n1n1n1n = (pow(afvQvector1n.Mod(),8)-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.));
-
- fQCorrelations->Fill(30.,eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.));
-
- f8pDistribution->Fill(eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.));
- }
- //---------------------------------------------------------------------------------------------------------
-
+ // ***************************************************************
+ // **** STORE AND PRINT THE FINAL RESULTS FOR INTEGRATED FLOW ****
+ // ***************************************************************
+ if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)
+ {
+ this->FillCommonHistResultsIntFlow(kTRUE,"exact",kFALSE); // weighted and not corrected for non-uniform acceptance
+ // this->FillCommonHistResultsIntFlow(kTRUE,kTRUE); // weighted and corrected for non-uniform acceptance (to be improved (enabled))
+ // this->PrintQuantifyingCorrectionsForNonUniformAcceptance(kTRUE,"exact"); // (to be improved (enabled))
+ } else
+ {
+ this->FillCommonHistResultsIntFlow(kFALSE,"exact",kTRUE); // non-weighted and corrected for non-uniform acceptance
+ this->PrintQuantifyingCorrectionsForNonUniformAcceptance(kFALSE,"exact");
+ }
+ this->PrintFinalResultsForIntegratedFlow("NONAME"); // to be improved (name)
- //---------------------------------------------------------------------------------------------------------
- // DIFFERENTIAL FLOW
+ // ***********************************************************
+ // **** CALCULATE THE FINAL RESULTS FOR DIFFERENTIAL FLOW ****
+ // ***********************************************************
- Double_t dQ1nx = afvQvector1n.X();
- Double_t dQ1ny = afvQvector1n.Y();
- Double_t dQ1nxW = afvQvector1nWeighted.X();
- Double_t dQ1nyW = afvQvector1nWeighted.Y();
- Double_t dQ2nx = afvQvector2n.X();
- Double_t dQ2ny = afvQvector2n.Y();
+ // without weights:
+ this->FinalizeCorrelationsForDiffFlow("RP",kFALSE,"exact");
+ this->FinalizeCorrelationsForDiffFlow("POI",kFALSE,"exact");
+ this->CalculateCumulantsForDiffFlow("RP",kFALSE,"exact");
+ this->CalculateCumulantsForDiffFlow("POI",kFALSE,"exact");
+ this->CalculateDiffFlow("RP",kFALSE,"exact");
+ this->CalculateDiffFlow("POI",kFALSE,"exact");
+ this->CalculateFinalResultsForRPandPOIIntegratedFlow("RP",kFALSE,"exact");
+ this->CalculateFinalResultsForRPandPOIIntegratedFlow("POI",kFALSE,"exact");
- Double_t dBinWidthPt=0.,dBinWidthEta=0.;
- if(fnBinsPt)
- {
- dBinWidthPt=1.*(fPtMax-fPtMin)/fnBinsPt;
- }
- if(fnBinsEta)
+ // with weights:
+ if(fUsePhiWeights||fUsePtWeights||fUseEtaWeights)
{
- dBinWidthEta=1.*(fEtaMax-fEtaMin)/fnBinsEta;
+ this->FinalizeCorrelationsForDiffFlow("RP",kTRUE,"exact");
+ this->FinalizeCorrelationsForDiffFlow("POI",kTRUE,"exact");
+ this->CalculateCumulantsForDiffFlow("RP",kTRUE,"exact");
+ this->CalculateCumulantsForDiffFlow("POI",kTRUE,"exact");
+ this->CalculateDiffFlow("RP",kTRUE,"exact");
+ this->CalculateDiffFlow("POI",kTRUE,"exact");
+ this->CalculateFinalResultsForRPandPOIIntegratedFlow("RP",kTRUE,"exact");
+ this->CalculateFinalResultsForRPandPOIIntegratedFlow("POI",kTRUE,"exact");
}
- //RP:
- Double_t qxPtRP=0.,qyPtRP=0.,q2xPtRP=0.,q2yPtRP=0.,mPtRP=0.;//add comments for these variables (deleteMe)
- Double_t qxEtaRP=0.,qyEtaRP=0.,q2xEtaRP=0.,q2yEtaRP=0.,mEtaRP=0.;//add comments for these variables (deleteMe)
+
+ //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)
+
- Double_t dSumOfWeightsUpTomPtRP = 0.; // sum_{i=1}^{m} w_{i}
- Double_t dSumOfWeightsUpTomEtaRP = 0.; // sum_{i=1}^{m} w_{i}
+ // *****************************************************************
+ // **** 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",kFALSE,"exact",kFALSE);
+ this->FillCommonHistResultsDiffFlow("POI",kFALSE,"exact",kFALSE);
+ }
- TProfile *mPerBinPtRP = new TProfile("mPerBinPtRP","#sum_{i=1}^{m} w_{i}''",fnBinsPt,fPtMin,fPtMax,"s");
- TProfile *mPerBinEtaRP = new TProfile("mPerBinEtaRP","#sum_{i=1}^{m} w_{i}''",fnBinsEta,fEtaMin,fEtaMax,"s");
+ this->PrintFinalResultsForIntegratedFlow("RP");
+ this->PrintFinalResultsForIntegratedFlow("POI");
- for(Int_t i=0;i<nPrim;i++) // loop over all particles
- {
- fTrack=anEvent->GetTrack(i);
- if(fTrack && fTrack->UseForIntegratedFlow()) // checking RP condition
- {
- // get azimuthal angle, momentum and pseudorapidity of a particle:
- dPhi = fTrack->Phi();
- dPt = fTrack->Pt();
- dEta = fTrack->Eta();
- // pt:
- fPtReq1nRP->Fill(dPt,cos(n*dPhi),1.);
- fPtImq1nRP->Fill(dPt,sin(n*dPhi),1.);
- fPtReq2nRP->Fill(dPt,cos(2.*n*dPhi),1.);
- fPtImq2nRP->Fill(dPt,sin(2.*n*dPhi),1.);
- // eta:
- fEtaReq1nRP->Fill(dEta,cos(n*dPhi),1.);
- fEtaImq1nRP->Fill(dEta,sin(n*dPhi),1.);
- fEtaReq2nRP->Fill(dEta,cos(2.*n*dPhi),1.);
- fEtaImq2nRP->Fill(dEta,sin(2.*n*dPhi),1.);
- // phi weights:
- if(fUsePhiWeights)
- {
- nBinsPhi = phiWeights->GetNbinsX();
- if(nBinsPhi)
- {
- wPhi = phiWeights->GetBinContent(1+(Int_t)(TMath::Floor(dPhi*nBinsPhi/TMath::TwoPi())));
- }
- }
- // pt weights:
- if(fUsePtWeights)
- {
- if(dBinWidthPt)
- {
- wPt = ptWeights->GetBinContent(1+(Int_t)(TMath::Floor((dPt-fPtMin)/dBinWidthPt)));
- }
- }
- // eta weights:
- if(fUseEtaWeights)
- {
- if(dBinWidthEta)
- {
- wEta=etaWeights->GetBinContent(1+(Int_t)(TMath::Floor((dEta-fEtaMin)/dBinWidthEta)));
- }
- }
- // sum_{i=1}^{m} w_{i}:
- mPerBinPtRP->Fill(dPt,wPhi*wPt*wEta,1.);
- mPerBinEtaRP->Fill(dEta,wPhi*wPt*wEta,1.);
- }
- }
-
- //Pt:
- Double_t twoDiffPt1n1nRP=0.,twoDiffPt2n2nRP=0.,threeDiffPt2n1n1nRP=0.,threeDiffPt1n1n2nRP=0.,fourDiffPt1n1n1n1nRP=0.;
-
- for(Int_t bin=1;bin<(fnBinsPt+1);bin++)//loop over pt-bins
- {
- qxPtRP = (fPtReq1nRP->GetBinContent(bin))*(fPtReq1nRP->GetBinEntries(bin));
- qyPtRP = (fPtImq1nRP->GetBinContent(bin))*(fPtImq1nRP->GetBinEntries(bin));
- q2xPtRP = (fPtReq2nRP->GetBinContent(bin))*(fPtReq2nRP->GetBinEntries(bin));
- q2yPtRP = (fPtImq2nRP->GetBinContent(bin))*(fPtImq2nRP->GetBinEntries(bin));
- mPtRP = fPtReq1nRP->GetBinEntries(bin);
- dSumOfWeightsUpTomPtRP = (mPerBinPtRP->GetBinContent(bin))*(mPerBinPtRP->GetBinEntries(bin));
-
- if(mPtRP*dSumOfWeights-dSumOfWeightsUpTomPtRP)
- {
- //twoDiffPt1n1nRP = (qxPtRP*dQ1nx+qyPtRP*dQ1ny-mPtRP)/(mPtRP*(dMult-1.)); // OK without weights
- //f2PerPtBin1n1nRP->Fill(fPtMin+(bin-1)*dBinWidthPt,twoDiffPt1n1nRP,mPtRP*(dMult-1.));//<2'>_{n|n} // OK without weights
-
- twoDiffPt1n1nRP = (qxPtRP*dQ1nxW+qyPtRP*dQ1nyW-dSumOfWeightsUpTomPtRP)/(mPtRP*dSumOfWeights-dSumOfWeightsUpTomPtRP); // OK without weights
- f2PerPtBin1n1nRP->Fill(fPtMin+(bin-1)*dBinWidthPt,twoDiffPt1n1nRP,mPtRP*dSumOfWeights-dSumOfWeightsUpTomPtRP);//<2'>_{n|n} // OK without weights
- }
-
- if(mPtRP>0&&dMult>1)
- {
- twoDiffPt2n2nRP = (q2xPtRP*dQ2nx+q2yPtRP*dQ2ny-mPtRP)/(mPtRP*(dMult-1.));
- f2PerPtBin2n2nRP->Fill(fPtMin+(bin-1)*dBinWidthPt,twoDiffPt2n2nRP,mPtRP*(dMult-1.));//<2'>_{2n|2n}
- }
-
- if(mPtRP>0&&dMult>2)
- {
- threeDiffPt2n1n1nRP = (q2xPtRP*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yPtRP*dQ1nx*dQ1ny-2.*(qxPtRP*dQ1nx+qyPtRP*dQ1ny)-(q2xPtRP*dQ2nx+q2yPtRP*dQ2ny)+2.*mPtRP)/(mPtRP*(dMult-1.)*(dMult-2.));
- f3PerPtBin2n1n1nRP->Fill(fPtMin+(bin-1)*dBinWidthPt,threeDiffPt2n1n1nRP,mPtRP*(dMult-1.)*(dMult-2.));//Re[<3'>_{2n|n,n}]
-
- threeDiffPt1n1n2nRP = (dQ2nx*(qxPtRP*dQ1nx-qyPtRP*dQ1ny)+dQ2ny*(qxPtRP*dQ1ny+qyPtRP*dQ1nx)-2.*(qxPtRP*dQ1nx+qyPtRP*dQ1ny)-(q2xPtRP*dQ2nx+q2yPtRP*dQ2ny)+2.*mPtRP)/(mPtRP*(dMult-1.)*(dMult-2.));
- f3PerPtBin1n1n2nRP->Fill(fPtMin+(bin-1)*dBinWidthPt,threeDiffPt1n1n2nRP,mPtRP*(dMult-1.)*(dMult-2.));//Re[<3'>_{n,n|2n}]
- }
-
- if(mPtRP>0&&dMult>3)
- {
- fourDiffPt1n1n1n1nRP = ((dQ1nx*dQ1nx+dQ1ny*dQ1ny)*(qxPtRP*dQ1nx+qyPtRP*dQ1ny)-(q2xPtRP*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yPtRP*dQ1nx*dQ1ny)-(dQ2nx*(qxPtRP*dQ1nx-qyPtRP*dQ1ny)+dQ2ny*(qxPtRP*dQ1ny+qyPtRP*dQ1nx))+(q2xPtRP*dQ2nx+q2yPtRP*dQ2ny)-2.*(dMult-3.)*(qxPtRP*dQ1nx+qyPtRP*dQ1ny)-2.*mPtRP*(dQ1nx*dQ1nx+dQ1ny*dQ1ny)+2.*(dQ1nx*qxPtRP+dQ1ny*qyPtRP)+2.*mPtRP*(dMult-3.))/(mPtRP*(dMult-1.)*(dMult-2.)*(dMult-3.));
- f4PerPtBin1n1n1n1nRP->Fill(fPtMin+(bin-1)*dBinWidthPt,fourDiffPt1n1n1n1nRP,mPtRP*(dMult-1.)*(dMult-2.)*(dMult-3.));//Re[<4'>_{n,n|n,n}]
- }
- }//end of for(Int_t bin=1;bin<(fnBinsPt+1);bin++)//loop over pt-bins
-
- fPtReq1nRP->Reset();
- fPtImq1nRP->Reset();
- fPtReq2nRP->Reset();
- fPtImq2nRP->Reset();
-
- mPerBinPtRP->Reset();
+ // *****************************************************************************************
+ // **** COMPARE RESULTS FROM NESTED LOOPS vs RESULTS FROM Q-VECTORS FOR INTEGRATED FLOW ****
+ // *****************************************************************************************
- //Eta:
- Double_t twoDiffEta1n1nRP=0.,twoDiffEta2n2nRP=0.,threeDiffEta2n1n1nRP=0.,threeDiffEta1n1n2nRP=0.,fourDiffEta1n1n1n1nRP=0.;
+ if(fEvaluateNestedLoopsForIntFlow)
+ {
+ this->CompareResultsFromNestedLoopsAndFromQVectorsForIntFlow(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);
+ }
- for(Int_t bin=1;bin<(fnBinsEta+1);bin++)//loop over eta-bins
- {
- qxEtaRP = (fEtaReq1nRP->GetBinContent(bin))*(fEtaReq1nRP->GetBinEntries(bin));
- qyEtaRP = (fEtaImq1nRP->GetBinContent(bin))*(fEtaImq1nRP->GetBinEntries(bin));
- q2xEtaRP = (fEtaReq2nRP->GetBinContent(bin))*(fEtaReq2nRP->GetBinEntries(bin));
- q2yEtaRP = (fEtaImq2nRP->GetBinContent(bin))*(fEtaImq2nRP->GetBinEntries(bin));
- mEtaRP = fEtaReq1nRP->GetBinEntries(bin);
- dSumOfWeightsUpTomEtaRP = (mPerBinEtaRP->GetBinContent(bin))*(mPerBinEtaRP->GetBinEntries(bin));
-
- if(mEtaRP*dSumOfWeights-dSumOfWeightsUpTomEtaRP)
- {
- //twoDiffEta1n1nRP = (qxEtaRP*dQ1nx+qyEtaRP*dQ1ny-mEtaRP)/(mEtaRP*(dMult-1.)); // OK without weights
- //f2PerEtaBin1n1nRP->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta1n1nRP,mEtaRP*(dMult-1.));//<2'>_{n|n} // OK without weights
-
- twoDiffEta1n1nRP = (qxEtaRP*dQ1nxW+qyEtaRP*dQ1nyW-dSumOfWeightsUpTomEtaRP)/(mEtaRP*dSumOfWeights-dSumOfWeightsUpTomEtaRP); // OK without weights
- f2PerEtaBin1n1nRP->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta1n1nRP,mEtaRP*dSumOfWeights-dSumOfWeightsUpTomEtaRP);//<2'>_{n|n} // OK without weights
- }
-
- if(mEtaRP>0&&dMult>1)
- {
- twoDiffEta2n2nRP = (q2xEtaRP*dQ2nx+q2yEtaRP*dQ2ny-mEtaRP)/(mEtaRP*(dMult-1.));
- f2PerEtaBin2n2nRP->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta2n2nRP,mEtaRP*(dMult-1.));//<2'>_{2n|2n}
- }
+ if(fEvaluateNestedLoopsForDiffFlow)
+ {
+ this->CompareResultsFromNestedLoopsAndFromQVectorsForDiffFlow(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);
+ }
+
+} // end of AliFlowAnalysisWithQCumulants::Finish()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForIntFlowCosTerms()
+{
+ // 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: <<cos(n*(phi1))>> = cosP1n
+ // 2nd bin: <<cos(n*(phi1+phi2))>> = cosP1nP1n
+ // 3rd bin: <<cos(n*(phi1-phi2-phi3))>> = cosP1nM1nM1n
+ // ...
+ // --------------------------------------------------------------------------------------------------------------------
- if(mEtaRP>0&&dMult>2)
- {
- threeDiffEta2n1n1nRP = (q2xEtaRP*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yEtaRP*dQ1nx*dQ1ny-2.*(qxEtaRP*dQ1nx+qyEtaRP*dQ1ny)-(q2xEtaRP*dQ2nx+q2yEtaRP*dQ2ny)+2.*mEtaRP)/(mEtaRP*(dMult-1.)*(dMult-2.));
- f3PerEtaBin2n1n1nRP->Fill(fEtaMin+(bin-1)*dBinWidthEta,threeDiffEta2n1n1nRP,mEtaRP*(dMult-1.)*(dMult-2.));//Re[<3'>_{2n|n,n}]
+ // 1-particle:
+ Double_t cosP1n = 0.; // <<cos(n*(phi1))>>
- threeDiffEta1n1n2nRP = (dQ2nx*(qxEtaRP*dQ1nx-qyEtaRP*dQ1ny)+dQ2ny*(qxEtaRP*dQ1ny+qyEtaRP*dQ1nx)-2.*(qxEtaRP*dQ1nx+qyEtaRP*dQ1ny)-(q2xEtaRP*dQ2nx+q2yEtaRP*dQ2ny)+2.*mEtaRP)/(mEtaRP*(dMult-1.)*(dMult-2.));
- f3PerEtaBin1n1n2nRP->Fill(fEtaMin+(bin-1)*dBinWidthEta,threeDiffEta1n1n2nRP,mEtaRP*(dMult-1.)*(dMult-2.));//Re[<3'>_{n,n|2n}]
- }
+ if(dMult>0)
+ {
+ cosP1n = dReQ1n/dMult;
- if(mEtaRP>0&&dMult>3)
- {
- fourDiffEta1n1n1n1nRP = ((dQ1nx*dQ1nx+dQ1ny*dQ1ny)*(qxEtaRP*dQ1nx+qyEtaRP*dQ1ny)-(q2xEtaRP*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yEtaRP*dQ1nx*dQ1ny)-(dQ2nx*(qxEtaRP*dQ1nx-qyEtaRP*dQ1ny)+dQ2ny*(qxEtaRP*dQ1ny+qyEtaRP*dQ1nx))+(q2xEtaRP*dQ2nx+q2yEtaRP*dQ2ny)-2.*(dMult-3.)*(qxEtaRP*dQ1nx+qyEtaRP*dQ1ny)-2.*mEtaRP*(dQ1nx*dQ1nx+dQ1ny*dQ1ny)+2.*(dQ1nx*qxEtaRP+dQ1ny*qyEtaRP)+2.*mEtaRP*(dMult-3.))/(mEtaRP*(dMult-1.)*(dMult-2.)*(dMult-3.));
- f4PerEtaBin1n1n1n1nRP->Fill(fEtaMin+(bin-1)*dBinWidthEta,fourDiffEta1n1n1n1nRP,mEtaRP*(dMult-1.)*(dMult-2.)*(dMult-3.));//Re[<4'>_{n,n|n,n}]
- }
- }//end of for(Int_t bin=1;bin<(fnBinsEta+1);bin++)//loop over eta-bins
+ // average non-weighted 1-particle correction (cos terms) for non-uniform acceptance for single event:
+ fQCorrectionsEBE[0][1]->SetBinContent(1,cosP1n);
- fEtaReq1nRP->Reset();
- fEtaImq1nRP->Reset();
- fEtaReq2nRP->Reset();
- fEtaImq2nRP->Reset();
-
- mPerBinEtaRP->Reset();
-
- //POI:
- Double_t qxPrimePtPOI=0.,qyPrimePtPOI=0.,q2xPrimePtPOI=0.,q2yPrimePtPOI=0.,mPrimePtPOI=0.;//add comments for these variables (deleteMe)
- Double_t qxPrimePrimePtPOI=0.,qyPrimePrimePtPOI=0.,q2xPrimePrimePtPOI=0.,q2yPrimePrimePtPOI=0.,mPrimePrimePtPOI=0.;//add comments for these variables (deleteMe)
- Double_t qxPrimeEtaPOI=0.,qyPrimeEtaPOI=0.,q2xPrimeEtaPOI=0.,q2yPrimeEtaPOI=0.,mPrimeEtaPOI=0.;//add comments for these variables (deleteMe)
- Double_t qxPrimePrimeEtaPOI=0.,qyPrimePrimeEtaPOI=0.,q2xPrimePrimeEtaPOI=0.,q2yPrimePrimeEtaPOI=0.,mPrimePrimeEtaPOI=0.;//add comments for the
-
- Double_t dSumOfWeightsUpTomPrimePrimePtPOI = 0.; // sum_{i=1}^{m''} w_{i}
- Double_t dSumOfWeightsUpTomPrimePrimeEtaPOI = 0.; // sum_{i=1}^{m''} w_{i}
+ // final average non-weighted 1-particle correction (cos terms) for non-uniform acceptance for all events:
+ fQCorrections[0][0][1]->Fill(0.5,cosP1n,dMult);
+ }
- TProfile *mPrimePrimePerBinPtPOI = new TProfile("mPrimePrimePerBinPtPOI","#sum_{i=1}^{m''} w_{i}''",fnBinsPt,fPtMin,fPtMax,"s");
- TProfile *mPrimePrimePerBinEtaPOI = new TProfile("mPrimePrimePerBinEtaPOI","#sum_{i=1}^{m''} w_{i}''",fnBinsEta,fEtaMin,fEtaMax,"s");
-
- for(Int_t i=0;i<nPrim;i++) // loop over all particles (to be improved: do the calculations for RPs and POIs in the same loop)
- {
- fTrack=anEvent->GetTrack(i);
- if(fTrack)
- {
- if(fTrack->UseForDifferentialFlow()) // checking if particle is POI
- {
- if(fTrack->UseForIntegratedFlow()) // checking if particle is both POI and RP
- {
- // get azimuthal angle, momentum and pseudorapidity of a particle:
- dPhi = fTrack->Phi();
- dPt = fTrack->Pt();
- dEta = fTrack->Eta();
- // pt:
- fPtReq1nPrimePrimePOI->Fill(dPt,cos(n*dPhi),1.);
- fPtImq1nPrimePrimePOI->Fill(dPt,sin(n*dPhi),1.);
- fPtReq2nPrimePrimePOI->Fill(dPt,cos(2.*n*dPhi),1.);
- fPtImq2nPrimePrimePOI->Fill(dPt,sin(2.*n*dPhi),1.);
- // eta:
- fEtaReq1nPrimePrimePOI->Fill(dEta,cos(n*dPhi),1.);
- fEtaImq1nPrimePrimePOI->Fill(dEta,sin(n*dPhi),1.);
- fEtaReq2nPrimePrimePOI->Fill(dEta,cos(2.*n*dPhi),1.);
- fEtaImq2nPrimePrimePOI->Fill(dEta,sin(2.*n*dPhi),1.);
- // phi weights:
- if(fUsePhiWeights)
- {
- nBinsPhi = phiWeights->GetNbinsX();
- if(nBinsPhi)
- {
- wPhi = phiWeights->GetBinContent(1+(Int_t)(TMath::Floor(dPhi*nBinsPhi/TMath::TwoPi())));
- }
- }
- // pt weights:
- if(fUsePtWeights)
- {
- if(dBinWidthPt)
- {
- wPt = ptWeights->GetBinContent(1+(Int_t)(TMath::Floor((dPt-fPtMin)/dBinWidthPt)));
- }
- }
- // eta weights:
- if(fUseEtaWeights)
- {
- if(dBinWidthEta)
- {
- wEta=etaWeights->GetBinContent(1+(Int_t)(TMath::Floor((dEta-fEtaMin)/dBinWidthEta)));
- }
- }
- // sum_{i=1}^{m''} w_{i}:
- mPrimePrimePerBinPtPOI->Fill(dPt,wPhi*wPt*wEta,1.);
- mPrimePrimePerBinEtaPOI->Fill(dEta,wPhi*wPt*wEta,1.);
- }else if(!(fTrack->UseForIntegratedFlow())) // checking if particles is POI and not RP
- {
- // get azimuthal angle, momentum and pseudorapidity of a particle:
- dPhi = fTrack->Phi();
- dPt = fTrack->Pt();
- dEta = fTrack->Eta();
- // pt:
- fPtReq1nPrimePOI->Fill(dPt,cos(n*dPhi),1.);
- fPtImq1nPrimePOI->Fill(dPt,sin(n*dPhi),1.);
- fPtReq2nPrimePOI->Fill(dPt,cos(2.*n*dPhi),1.);
- fPtImq2nPrimePOI->Fill(dPt,sin(2.*n*dPhi),1.);
- // eta:
- fEtaReq1nPrimePOI->Fill(dEta,cos(n*dPhi),1.);
- fEtaImq1nPrimePOI->Fill(dEta,sin(n*dPhi),1.);
- fEtaReq2nPrimePOI->Fill(dEta,cos(2.*n*dPhi),1.);
- fEtaImq2nPrimePOI->Fill(dEta,sin(2.*n*dPhi),1.);
- } // end of else if(!(fTrack->UseForIntegratedFlow())) // checking if particles is POI and not RP
- } // end of if(fTrack->UseForDifferentialFlow()) // checking if particle is POI
- } // end of if(fTrack}
- } // end of for(Int_t i=0;i<nPrim;i++)
-
- // Pt, POI:
- Double_t twoDiffPt1n1nPOI=0.,twoDiffPt2n2nPOI=0.,fourDiffPt1n1n1n1nPOI=0.;
+ // 2-particle:
+ Double_t cosP1nP1n = 0.; // <<cos(n*(phi1+phi2))>>
- for(Int_t bin=1;bin<(fnBinsPt+1);bin++) // loop over pt-bins
- {
- // q':
- qxPrimePtPOI = (fPtReq1nPrimePOI->GetBinContent(bin))*(fPtReq1nPrimePOI->GetBinEntries(bin));
- qyPrimePtPOI = (fPtImq1nPrimePOI->GetBinContent(bin))*(fPtImq1nPrimePOI->GetBinEntries(bin));
- q2xPrimePtPOI = (fPtReq2nPrimePOI->GetBinContent(bin))*(fPtReq2nPrimePOI->GetBinEntries(bin));
- q2yPrimePtPOI = (fPtImq2nPrimePOI->GetBinContent(bin))*(fPtImq2nPrimePOI->GetBinEntries(bin));
- mPrimePtPOI = fPtReq1nPrimePOI->GetBinEntries(bin);
- // q'':
- qxPrimePrimePtPOI = (fPtReq1nPrimePrimePOI->GetBinContent(bin))*(fPtReq1nPrimePrimePOI->GetBinEntries(bin));
- qyPrimePrimePtPOI = (fPtImq1nPrimePrimePOI->GetBinContent(bin))*(fPtImq1nPrimePrimePOI->GetBinEntries(bin));
- q2xPrimePrimePtPOI = (fPtReq2nPrimePrimePOI->GetBinContent(bin))*(fPtReq2nPrimePrimePOI->GetBinEntries(bin));
- q2yPrimePrimePtPOI = (fPtImq2nPrimePrimePOI->GetBinContent(bin))*(fPtImq2nPrimePrimePOI->GetBinEntries(bin));
- mPrimePrimePtPOI = fPtReq1nPrimePrimePOI->GetBinEntries(bin);
- dSumOfWeightsUpTomPrimePrimePtPOI = (mPrimePrimePerBinPtPOI->GetBinContent(bin))*(mPrimePrimePerBinPtPOI->GetBinEntries(bin));
-
- if((mPrimePrimePtPOI+mPrimePtPOI)*dSumOfWeights-dSumOfWeightsUpTomPrimePrimePtPOI)
- {
- //twoDiffPt1n1nPOI = (qxPrimePrimePtPOI*dQ1nx+qyPrimePrimePtPOI*dQ1ny-mPrimePrimePtPOI+qxPrimePtPOI*dQ1nx+qyPrimePtPOI*dQ1ny)/(mPrimePrimePtPOI*(dMult-1)+mPrimePtPOI*dMult); // OK without weights
-
- twoDiffPt1n1nPOI = (qxPrimePrimePtPOI*dQ1nxW+qyPrimePrimePtPOI*dQ1nyW-dSumOfWeightsUpTomPrimePrimePtPOI+qxPrimePtPOI*dQ1nxW+qyPrimePtPOI*dQ1nyW)/((mPrimePrimePtPOI+mPrimePtPOI)*dSumOfWeights-dSumOfWeightsUpTomPrimePrimePtPOI);
-
- //f2PerPtBin1n1nPOI->Fill(fPtMin+(bin-1)*dBinWidthPt,twoDiffPt1n1nPOI,mPrimePrimePtPOI*(dMult-1)+mPrimePtPOI*dMult);//<2'>_{n|n} //OK without weights
-
- f2PerPtBin1n1nPOI->Fill(fPtMin+(bin-1)*dBinWidthPt,twoDiffPt1n1nPOI,(mPrimePrimePtPOI+mPrimePtPOI)*dSumOfWeights-dSumOfWeightsUpTomPrimePrimePtPOI); // <2'>_{n|n}
-
- twoDiffPt2n2nPOI = (q2xPrimePrimePtPOI*dQ2nx+q2yPrimePrimePtPOI*dQ2ny-mPrimePrimePtPOI+q2xPrimePtPOI*dQ2nx+q2yPrimePtPOI*dQ2ny)/(mPrimePrimePtPOI*(dMult-1)+mPrimePtPOI*dMult); // to be improved: didn't check how it changed with weights
- f2PerPtBin2n2nPOI->Fill(fPtMin+(bin-1)*dBinWidthPt,twoDiffPt2n2nPOI,mPrimePrimePtPOI*(dMult-1)+mPrimePtPOI*dMult);//<2'>_{2n|2n}
- }//end of if((mPrimePtPOI+mPrimePrimePtPOI>0)&&dMult>0)
+ if(dMult>1)
+ {
+ cosP1nP1n = (pow(dReQ1n,2)-pow(dImQ1n,2)-dReQ2n)/(dMult*(dMult-1));
- /*
- to be improved: correct Eqs. needed here)
- if(mPtPOI>0&&dMult>3)
- {
- threeDiffPt2n1n1nPOI = (q2xPtPOI*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yPtPOI*dQ1nx*dQ1ny-2.*(qxPtPOI*dQ1nx+qyPtPOI*dQ1ny)-(q2xPtPOI*dQ2nx+q2yPtPOI*dQ2ny)+2.*mPtPOI)/(mPtPOI*(dMult-1.)*(dMult-2.));//to be improved (correct formula needed)
- //f3PePOItBin2n1n1nPOI->Fill(fPtMin+(bin-1)*dBinWidthPt,threeDiffPt2n1n1nPOI,mPtPOI*(dMult-1.)*(dMult-2.));//Re[<3'>_{2n|n,n}]
-
- threeDiffPt1n1n2nPOI = (dQ2nx*(qxPtPOI*dQ1nx-qyPtPOI*dQ1ny)+dQ2ny*(qxPtPOI*dQ1ny+qyPtPOI*dQ1nx)-2.*(qxPtPOI*dQ1nx+qyPtPOI*dQ1ny)-(q2xPtPOI*dQ2nx+q2yPtPOI*dQ2ny)+2.*mPtPOI)/(mPtPOI*(dMult-1.)*(dMult-2.));//to be improved (correct formula needed)
- //f3PePOItBin1n1n2nPOI->Fill(fPtMin+(bin-1)*dBinWidthPt,threeDiffPt1n1n2nPOI,mPtPOI*(dMult-1.)*(dMult-2.));//Re[<3'>_{n,n|2n}]
- }
- */
+ // average non-weighted 2-particle correction (cos terms) for non-uniform acceptance for single event:
+ fQCorrectionsEBE[0][1]->SetBinContent(2,cosP1nP1n);
- //if((mPrimePtPOI+mPrimePrimePtPOI>0)&&dMult>2)//to be improved (dMult>2 or dMult>3)
- if(!(mPrimePtPOI==0&&mPrimePrimePtPOI==0)&&!(mPrimePtPOI==0&&(dMult==1||dMult==2||dMult==3))&&!(mPrimePrimePtPOI==0&&(dMult==0||dMult==1||dMult==2)))//to be improved
- {
- fourDiffPt1n1n1n1nPOI=((dQ1nx*dQ1nx+dQ1ny*dQ1ny)*(qxPrimePtPOI*dQ1nx+qyPrimePtPOI*dQ1ny)-2.*(dMult-1)*(qxPrimePtPOI*dQ1nx+qyPrimePtPOI*dQ1ny)-(dQ2nx*(qxPrimePtPOI*dQ1nx-qyPrimePtPOI*dQ1ny)+dQ2ny*(qxPrimePtPOI*dQ1ny+qyPrimePtPOI*dQ1nx))+(dQ1nx*dQ1nx+dQ1ny*dQ1ny)*(qxPrimePrimePtPOI*dQ1nx+qyPrimePrimePtPOI*dQ1ny)-(q2xPrimePrimePtPOI*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yPrimePrimePtPOI*dQ1nx*dQ1ny)-(dQ2nx*(qxPrimePrimePtPOI*dQ1nx-qyPrimePrimePtPOI*dQ1ny)+dQ2ny*(qxPrimePrimePtPOI*dQ1ny+qyPrimePrimePtPOI*dQ1nx))+(q2xPrimePrimePtPOI*dQ2nx+q2yPrimePrimePtPOI*dQ2ny)-2.*(dMult-3.)*(qxPrimePrimePtPOI*dQ1nx+qyPrimePrimePtPOI*dQ1ny)-2.*mPrimePrimePtPOI*(dQ1nx*dQ1nx+dQ1ny*dQ1ny)+2.*(dQ1nx*qxPrimePrimePtPOI+dQ1ny*qyPrimePrimePtPOI)+2.*mPrimePrimePtPOI*(dMult-3.))/(mPrimePtPOI*dMult*(dMult-1)*(dMult-2)+mPrimePrimePtPOI*(dMult-1)*(dMult-2)*(dMult-3));
-
- f4PerPtBin1n1n1n1nPOI->Fill(fPtMin+(bin-1)*dBinWidthPt,fourDiffPt1n1n1n1nPOI,mPrimePtPOI*dMult*(dMult-1)*(dMult-2)+mPrimePrimePtPOI*(dMult-1)*(dMult-2)*(dMult-3));//Re[<4'>_{n,n|n,n}]
- }//end of if((mPrimePtPOI+mPrimePrimePtPOI>0)&&dMult>2)
- }//end of for(Int_t bin=1;bin<(fnBinsPt+1);bin++)//loop over pt-bins
-
- fPtReq1nPrimePOI->Reset();
- fPtImq1nPrimePOI->Reset();
- fPtReq2nPrimePOI->Reset();
- fPtImq2nPrimePOI->Reset();
-
- fPtReq1nPrimePrimePOI->Reset();
- fPtImq1nPrimePrimePOI->Reset();
- fPtReq2nPrimePrimePOI->Reset();
- fPtImq2nPrimePrimePOI->Reset();
+ // final average non-weighted 2-particle correction (cos terms) for non-uniform acceptance for all events:
+ fQCorrections[0][0][1]->Fill(1.5,cosP1nP1n,dMult*(dMult-1));
+ }
- mPrimePrimePerBinPtPOI->Reset();
-
- //Eta:
- //Double_t twoDiffEta1n1nPOI=0.,twoDiffEta2n2nPOI=0.,threeDiffEta2n1n1nPOI=0.,threeDiffEta1n1n2nPOI=0.,fourDiffEta1n1n1n1nPOI=0.;
- Double_t twoDiffEta1n1nPOI=0.,twoDiffEta2n2nPOI=0.,fourDiffEta1n1n1n1nPOI=0.;
+ // 3-particle:
+ Double_t cosP1nM1nM1n = 0.; // <<cos(n*(phi1-phi2-phi3))>>
- for(Int_t bin=1;bin<(fnBinsEta+1);bin++)//loop over eta-bins
- {
- //q'
- qxPrimeEtaPOI = (fEtaReq1nPrimePOI->GetBinContent(bin))*(fEtaReq1nPrimePOI->GetBinEntries(bin));
- qyPrimeEtaPOI = (fEtaImq1nPrimePOI->GetBinContent(bin))*(fEtaImq1nPrimePOI->GetBinEntries(bin));
- q2xPrimeEtaPOI = (fEtaReq2nPrimePOI->GetBinContent(bin))*(fEtaReq2nPrimePOI->GetBinEntries(bin));
- q2yPrimeEtaPOI = (fEtaImq2nPrimePOI->GetBinContent(bin))*(fEtaImq2nPrimePOI->GetBinEntries(bin));
- mPrimeEtaPOI = fEtaReq1nPrimePOI->GetBinEntries(bin);
- //q''
- qxPrimePrimeEtaPOI = (fEtaReq1nPrimePrimePOI->GetBinContent(bin))*(fEtaReq1nPrimePrimePOI->GetBinEntries(bin));
- qyPrimePrimeEtaPOI = (fEtaImq1nPrimePrimePOI->GetBinContent(bin))*(fEtaImq1nPrimePrimePOI->GetBinEntries(bin));
- q2xPrimePrimeEtaPOI = (fEtaReq2nPrimePrimePOI->GetBinContent(bin))*(fEtaReq2nPrimePrimePOI->GetBinEntries(bin));
- q2yPrimePrimeEtaPOI = (fEtaImq2nPrimePrimePOI->GetBinContent(bin))*(fEtaImq2nPrimePrimePOI->GetBinEntries(bin));
- mPrimePrimeEtaPOI = fEtaReq1nPrimePrimePOI->GetBinEntries(bin);
- dSumOfWeightsUpTomPrimePrimeEtaPOI = (mPrimePrimePerBinEtaPOI->GetBinContent(bin))*(mPrimePrimePerBinEtaPOI->GetBinEntries(bin));
-
- if((mPrimePrimeEtaPOI+mPrimeEtaPOI)*dSumOfWeights-dSumOfWeightsUpTomPrimePrimeEtaPOI)//to be improved (dMult>1 or dMult>0)
- {
- //twoDiffEta1n1nPOI = (qxPrimePrimeEtaPOI*dQ1nx+qyPrimePrimeEtaPOI*dQ1ny-mPrimePrimeEtaPOI+qxPrimeEtaPOI*dQ1nx+qyPrimeEtaPOI*dQ1ny)/(mPrimePrimeEtaPOI*(dMult-1)+mPrimeEtaPOI*dMult); // OK without weights
- //f2PerEtaBin1n1nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta1n1nPOI,mPrimePrimeEtaPOI*(dMult-1)+mPrimeEtaPOI*dMult);//<2'>_{n|n} // OK without weights
-
- twoDiffEta1n1nPOI = (qxPrimePrimeEtaPOI*dQ1nxW+qyPrimePrimeEtaPOI*dQ1nyW-dSumOfWeightsUpTomPrimePrimeEtaPOI+qxPrimeEtaPOI*dQ1nxW+qyPrimeEtaPOI*dQ1nyW)/((mPrimePrimeEtaPOI+mPrimeEtaPOI)*dSumOfWeights-dSumOfWeightsUpTomPrimePrimeEtaPOI);
- f2PerEtaBin1n1nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta1n1nPOI,(mPrimePrimeEtaPOI+mPrimeEtaPOI)*dSumOfWeights-dSumOfWeightsUpTomPrimePrimeEtaPOI); // <2'>_{n|n}
-
- twoDiffEta2n2nPOI = (q2xPrimePrimeEtaPOI*dQ2nx+q2yPrimePrimeEtaPOI*dQ2ny-mPrimePrimeEtaPOI+q2xPrimeEtaPOI*dQ2nx+q2yPrimeEtaPOI*dQ2ny)/(mPrimePrimeEtaPOI*(dMult-1)+mPrimeEtaPOI*dMult);
- f2PerEtaBin2n2nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta2n2nPOI,mPrimePrimeEtaPOI*(dMult-1)+mPrimeEtaPOI*dMult);//<2'>_{2n|2n}
- }//end of if((mPrimeEtaPOI+mPrimePrimeEtaPOI>0)&&dMult>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));
- /*
- to be improved: correct Eqs. needed here)
- if(mEtaPOI>0&&dMult>3)
- {
- threeDiffEta2n1n1nPOI = (q2xEtaPOI*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yEtaPOI*dQ1nx*dQ1ny-2.*(qxEtaPOI*dQ1nx+qyEtaPOI*dQ1ny)-(q2xEtaPOI*dQ2nx+q2yEtaPOI*dQ2ny)+2.*mEtaPOI)/(mEtaPOI*(dMult-1.)*(dMult-2.));//to be improved (correct formula)
- //f3PePOItBin2n1n1nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,threeDiffEta2n1n1nPOI,mEtaPOI*(dMult-1.)*(dMult-2.));//Re[<3'>_{2n|n,n}]
-
- threeDiffEta1n1n2nPOI = (dQ2nx*(qxEtaPOI*dQ1nx-qyEtaPOI*dQ1ny)+dQ2ny*(qxEtaPOI*dQ1ny+qyEtaPOI*dQ1nx)-2.*(qxEtaPOI*dQ1nx+qyEtaPOI*dQ1ny)-(q2xEtaPOI*dQ2nx+q2yEtaPOI*dQ2ny)+2.*mEtaPOI)/(mEtaPOI*(dMult-1.)*(dMult-2.));//to be improved (correct formula)
- //f3PePOItBin1n1n2nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,threeDiffEta1n1n2nPOI,mEtaPOI*(dMult-1.)*(dMult-2.));//Re[<3'>_{n,n|2n}]
- }
- */
+ // average non-weighted 3-particle correction (cos terms) for non-uniform acceptance for single event:
+ fQCorrectionsEBE[0][1]->SetBinContent(3,cosP1nM1nM1n);
- //if((mPrimeEtaPOI+mPrimePrimeEtaPOI>0)&&dMult>2)//to be improved (dMult>2 or dMult>3)
- if(!(mPrimeEtaPOI==0&&mPrimePrimeEtaPOI==0)&&!(mPrimeEtaPOI==0&&(dMult==1||dMult==2||dMult==3))&&!(mPrimePrimeEtaPOI==0&&(dMult==0||dMult==1||dMult==2)))
- {
- fourDiffEta1n1n1n1nPOI=((dQ1nx*dQ1nx+dQ1ny*dQ1ny)*(qxPrimeEtaPOI*dQ1nx+qyPrimeEtaPOI*dQ1ny)-2.*(dMult-1)*(qxPrimeEtaPOI*dQ1nx+qyPrimeEtaPOI*dQ1ny)-(dQ2nx*(qxPrimeEtaPOI*dQ1nx-qyPrimeEtaPOI*dQ1ny)+dQ2ny*(qxPrimeEtaPOI*dQ1ny+qyPrimeEtaPOI*dQ1nx))+(dQ1nx*dQ1nx+dQ1ny*dQ1ny)*(qxPrimePrimeEtaPOI*dQ1nx+qyPrimePrimeEtaPOI*dQ1ny)-(q2xPrimePrimeEtaPOI*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yPrimePrimeEtaPOI*dQ1nx*dQ1ny)-(dQ2nx*(qxPrimePrimeEtaPOI*dQ1nx-qyPrimePrimeEtaPOI*dQ1ny)+dQ2ny*(qxPrimePrimeEtaPOI*dQ1ny+qyPrimePrimeEtaPOI*dQ1nx))+(q2xPrimePrimeEtaPOI*dQ2nx+q2yPrimePrimeEtaPOI*dQ2ny)-2.*(dMult-3.)*(qxPrimePrimeEtaPOI*dQ1nx+qyPrimePrimeEtaPOI*dQ1ny)-2.*mPrimePrimeEtaPOI*(dQ1nx*dQ1nx+dQ1ny*dQ1ny)+2.*(dQ1nx*qxPrimePrimeEtaPOI+dQ1ny*qyPrimePrimeEtaPOI)+2.*mPrimePrimeEtaPOI*(dMult-3.))/(mPrimeEtaPOI*dMult*(dMult-1)*(dMult-2)+mPrimePrimeEtaPOI*(dMult-1)*(dMult-2)*(dMult-3));
-
- f4PerEtaBin1n1n1n1nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,fourDiffEta1n1n1n1nPOI,mPrimeEtaPOI*dMult*(dMult-1)*(dMult-2)+mPrimePrimeEtaPOI*(dMult-1)*(dMult-2)*(dMult-3));//Re[<4'>_{n,n|n,n}]
- }//end of if((mPrimeEtaPOI+mPrimePrimeEtaPOI>0)&&dMult>2)
- }//end of for(Int_t bin=1;bin<(fnBinsEta+1);bin++)//loop over eta-bins
-
- fEtaReq1nPrimePOI->Reset();
- fEtaImq1nPrimePOI->Reset();
- fEtaReq2nPrimePOI->Reset();
- fEtaImq2nPrimePOI->Reset();
-
- fEtaReq1nPrimePrimePOI->Reset();
- fEtaImq1nPrimePrimePOI->Reset();
- fEtaReq2nPrimePrimePOI->Reset();
- fEtaImq2nPrimePrimePOI->Reset();
-
- mPrimePrimePerBinEtaPOI->Reset();
+ // final average non-weighted 3-particle correction (cos terms) for non-uniform acceptance for all events:
+ fQCorrections[0][0][1]->Fill(2.5,cosP1nM1nM1n,dMult*(dMult-1)*(dMult-2));
+ }
-//---------------------------------------------------------------------------------------------------------
-
+} // end of AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForIntFlowCosTerms()
- delete mPerBinPtRP;
- delete mPerBinEtaRP;
- delete mPrimePrimePerBinPtPOI;
- delete mPrimePrimePerBinEtaPOI;
+//================================================================================================================================
-
-
-
-
-
-
-
-/*
- //Eta:
- Double_t twoDiffEta1n1nPOI=0.,twoDiffEta2n2nPOI=0.,threeDiffEta2n1n1nPOI=0.,threeDiffEta1n1n2nPOI=0.,fourDiffEta1n1n1n1nPOI=0.;
+void AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForIntFlowSinTerms()
+{
+ // 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: <<sin(n*(phi1))>> = sinP1n
+ // 2nd bin: <<sin(n*(phi1+phi2))>> = sinP1nP1n
+ // 3rd bin: <<sin(n*(phi1-phi2-phi3))>> = sinP1nM1nM1n
+ // ...
+ // --------------------------------------------------------------------------------------------------------------------
+
+ // 1-particle:
+ Double_t sinP1n = 0.; // <sin(n*(phi1))>
+
+ if(dMult>0)
+ {
+ sinP1n = dImQ1n/dMult;
+
+ // average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for single event:
+ fQCorrectionsEBE[0][0]->SetBinContent(1,sinP1n);
+
+ // final average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for all events:
+ fQCorrections[0][0][0]->Fill(0.5,sinP1n,dMult);
+ }
- for(Int_t bin=1;bin<(fnBinsEta+1);bin++)//loop over eta-bins
- {
- qxEtaPOI = (fEtaReq1nPOI->GetBinContent(bin))*(fEtaReq1nPOI->GetBinEntries(bin));
- qyEtaPOI = (fEtaImq1nPOI->GetBinContent(bin))*(fEtaImq1nPOI->GetBinEntries(bin));
- q2xEtaPOI = (fEtaReq2nPOI->GetBinContent(bin))*(fEtaReq2nPOI->GetBinEntries(bin));
- q2yEtaPOI = (fEtaImq2nPOI->GetBinContent(bin))*(fEtaImq2nPOI->GetBinEntries(bin));
- mEtaPOI = fEtaReq1nPOI->GetBinEntries(bin);
+ // 2-particle:
+ Double_t sinP1nP1n = 0.; // <<sin(n*(phi1+phi2))>>
+
+ 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:
+ fQCorrectionsEBE[0][0]->SetBinContent(2,sinP1nP1n);
- if(mEtaPOI>0&&dMult>1)
- {
- twoDiffEta1n1nPOI = (qxEtaPOI*dQ1nx+qyEtaPOI*dQ1ny-dOverlapEta)/((mEtaPOI-dOverlapEta)*dMult+dOverlapEta*(dMult-1.));
- f2PerEtaBin1n1nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta1n1nPOI,(mEtaPOI-dOverlapEta)*dMult+dOverlapEta*(dMult-1.));//<2'>_{n|n}
-
- twoDiffEta2n2nPOI = (q2xEtaPOI*dQ2nx+q2yEtaPOI*dQ2ny-dOverlapEta)/((mEtaPOI-dOverlapEta)*dMult+dOverlapEta*(dMult-1.));
- f2PerEtaBin2n2nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,twoDiffEta2n2nPOI,(mEtaPOI-dOverlapEta)*dMult+dOverlapEta*(dMult-1.));//<2'>_{2n|2n}
- }
+ // final average non-weighted 1-particle correction (sin terms) for non-uniform acceptance for all events:
+ fQCorrections[0][0][0]->Fill(1.5,sinP1nP1n,dMult*(dMult-1));
+ }
+
+ // 3-particle:
+ Double_t sinP1nM1nM1n = 0.; // <<sin(n*(phi1-phi2-phi3))>>
+
+ if(dMult>2)
+ {
+ sinP1nM1nM1n = (-dImQ1n*(pow(dReQ1n,2)+pow(dImQ1n,2))+dReQ1n*dImQ2n-dImQ1n*dReQ2n+2.*(dMult-1)*dImQ1n)
+ / (dMult*(dMult-1)*(dMult-2));
- if(mEtaPOI>0&&dMult>2)
- {
- threeDiffEta2n1n1nPOI = (q2xEtaPOI*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yEtaPOI*dQ1nx*dQ1ny-2.*(qxEtaPOI*dQ1nx+qyEtaPOI*dQ1ny)-(q2xEtaPOI*dQ2nx+q2yEtaPOI*dQ2ny)+2.*mEtaPOI)/(mEtaPOI*(dMult-1.)*(dMult-2.));//to be improved (correct formula)
- //f3PerEtaBin2n1n1nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,threeDiffEta2n1n1nPOI,mEtaPOI*(dMult-1.)*(dMult-2.));//Re[<3'>_{2n|n,n}]
-
- threeDiffEta1n1n2nPOI = (dQ2nx*(qxEtaPOI*dQ1nx-qyEtaPOI*dQ1ny)+dQ2ny*(qxEtaPOI*dQ1ny+qyEtaPOI*dQ1nx)-2.*(qxEtaPOI*dQ1nx+qyEtaPOI*dQ1ny)-(q2xEtaPOI*dQ2nx+q2yEtaPOI*dQ2ny)+2.*mEtaPOI)/(mEtaPOI*(dMult-1.)*(dMult-2.));//to be improved (correct formula)
- //f3PerEtaBin1n1n2nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,threeDiffEta1n1n2nPOI,mEtaPOI*(dMult-1.)*(dMult-2.));//Re[<3'>_{n,n|2n}]
- }
+ // average non-weighted 3-particle correction (sin terms) for non-uniform acceptance for single event:
+ fQCorrectionsEBE[0][0]->SetBinContent(3,sinP1nM1nM1n);
- if(mEtaPOI>0&&dMult>3)
- {
- fourDiffEta1n1n1n1nPOI = ((dQ1nx*dQ1nx+dQ1ny*dQ1ny)*(qxEtaPOI*dQ1nx+qyEtaPOI*dQ1ny)-(q2xEtaPOI*(dQ1nx*dQ1nx-dQ1ny*dQ1ny)+2.*q2yEtaPOI*dQ1nx*dQ1ny)-(dQ2nx*(qxEtaPOI*dQ1nx-qyEtaPOI*dQ1ny)+dQ2ny*(qxEtaPOI*dQ1ny+qyEtaPOI*dQ1nx))+(q2xEtaPOI*dQ2nx+q2yEtaPOI*dQ2ny)-2.*(dMult-3.)*(qxEtaPOI*dQ1nx+qyEtaPOI*dQ1ny)-2.*mEtaPOI*(dQ1nx*dQ1nx+dQ1ny*dQ1ny)+2.*(dQ1nx*qxEtaPOI+dQ1ny*qyEtaPOI)+2.*mEtaPOI*(dMult-3.))/(mEtaPOI*(dMult-1.)*(dMult-2.)*(dMult-3.));//to be improved (correct formula)
- //f4PerEtaBin1n1n1n1nPOI->Fill(fEtaMin+(bin-1)*dBinWidthEta,fourDiffEta1n1n1n1nPOI,mEtaPOI*(dMult-1.)*(dMult-2.)*(dMult-3.));//Re[<4'>_{n,n|n,n}]
- }
-
+ // final average non-weighted 3-particle correction (sin terms) for non-uniform acceptance for all events:
+ fQCorrections[0][0][0]->Fill(2.5,sinP1nM1nM1n,dMult*(dMult-1)*(dMult-2));
}
-
- fEtaReq1nPOI->Reset();
- fEtaImq1nPOI->Reset();
- fEtaReq2nPOI->Reset();
- fEtaImq2nPOI->Reset();
-*/
-
-
-
-
-
-
-
-
-
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateCorrectionsForNonUniformAcceptanceForIntFlowSinTerms()
+//================================================================================================================================
+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)
+//================================================================================================================================
- //if(bNestedLoops)to be improved
- //{ to be improved
- //--------------------------------------------------------------------------------------------------------------------------------
- //
- // **********************
- // **** NESTED LOOPS ****
- // **********************
- //
- // Remark 1: multi-particle correlations calculated with nested loops are stored in fDirectCorrelations.
- // Remark 2: binning of fDirectCorrelations: bins 0..40 - correlations needed for integrated flow; bins 40..80 - correlations needed for differential flow (taking as an example bin 0.5 < pt < 0.6)
- //
- // binning details of fDirectCorrelations (integrated flow):
- //
- // 1st bin: <2>_{n|n} = two1n1n
- // 2nd bin: <2>_{2n|2n} = two2n2n
- // 3rd bin: <2>_{3n|3n} = two3n3n
- // 4th bin: <2>_{4n|4n} = two4n4n
- // 5th bin: -- EMPTY --
- // 6th bin: <3>_{2n|n,n} = three2n1n1n
- // 7th bin: <3>_{3n|2n,n} = three3n2n1n
- // 8th bin: <3>_{4n|2n,2n} = three4n2n2n
- // 9th bin: <3>_{4n|3n,n} = three4n3n1n
- //10th bin: -- EMPTY --
- //11th bin: <4>_{n,n|n,n} = four1n1n1n1n
- //12th bin: <4>_{2n,n|2n,n} = four2n1n2n1n
- //13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n
- //14th bin: <4>_{3n|n,n,n} = four3n1n1n1n
- //15th bin: <4>_{3n,n|3n,n} = four3n1n3n1n
- //16th bin: <4>_{3n,n|2n,2n} = four3n1n2n2n
- //17th bin: <4>_{4n|2n,n,n} = four4n2n1n1n
- //18th bin: -- EMPTY --
- //19th bin: <5>_{2n|n,n,n,n} = five2n1n1n1n1n
- //20th bin: <5>_{2n,2n|2n,n,n} = five2n2n2n1n1n
- //21st bin: <5>_{3n,n|2n,n,n} = five3n1n2n1n1n
- //22nd bin: <5>_{4n|n,n,n,n} = five4n1n1n1n1n
- //23rd bin: -- EMPTY --
- //24th bin: <6>_{n,n,n|n,n,n} = six1n1n1n1n1n1n
- //25th bin: <6>_{2n,n,n|2n,n,n} = six2n1n1n2n1n1n
- //26th bin: <6>_{2n,2n|n,n,n,n} = six2n2n1n1n1n1n
- //27th bin: <6>_{3n,n|n,n,n,n} = six3n1n1n1n1n1n
- //28th bin: -- EMPTY --
- //29th bin: <7>_{2n,n,n|n,n,n,n} = seven2n1n1n1n1n1n1n
- //30th bin: -- EMPTY --
- //31st bin: <8>_{n,n,n,n|n,n,n,n} = eight1n1n1n1n1n1n1n1n
+void AliFlowAnalysisWithQCumulants::EvaluateNestedLoopsForDifferentialFlow(AliFlowEventSimple* anEvent)
+{
+ // evaluate the nested loops relevant for differential flow (needed for cross-checking the results)
- Double_t phi1=0., phi2=0., phi3=0., phi4=0., phi5=0., phi6=0., phi7=0., phi8=0.;
-
- //<2>_{k*n|k*n} (k=1,2,3 and 4)
- for(Int_t i1=0;i1<dMult;i1++)
+ 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 = <cos(n*(psi1-phi2))>
+ // ---- bins 21-40: 3-particle correlations ----
+ // ---- bins 41-60: 4-particle correlations ----
+ // 41st bin: <4'>_{1n,1n|1n,1n} = fourPrime1n1n1n1n = <cos(n*(psi1+phi2-phi3-phi4))>
+ //......................................................................................
+
+ // Remark 5: binning of fDirectCorrelationsDiffFlow is organized as follows:
+ //......................................................................................
+ // ---- bins 1-20: 2-particle correlations ----
+ // 1st bin: twoPrime1n1nW0W1 = <w2 cos(n*(psi1-phi2))>
+ // ---- bins 21-40: 3-particle correlations ----
+ // ---- bins 41-60: 4-particle correlations ----
+ // 41st bin: fourPrime1n1n1n1nW0W1W1W1 = <w2 w3 w4 cos(n*(psi1+phi2-phi3-phi4))>
+ //......................................................................................
+
+ // 2'-particle:
+ for(Int_t i1=0;i1<nPrim;i1++)
{
- fTrack=anEvent->GetTrack(i1);
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<dMult;i2++)
+ aftsTrack=anEvent->GetTrack(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.); // <<cos(n*(psi1))>>
+ fDirectCorrectionsDiffFlowSin->Fill(0.,sin(1.*n*(psi1)),1.); // <<sin(n*(psi1))>>
+
+ for(Int_t i2=0;i2<nPrim;i2++)
{
if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- phi2=fTrack->Phi();
- fDirectCorrelations->Fill(0.,cos(n*(phi1-phi2)),1); //<2>_{n|n}
- fDirectCorrelations->Fill(1.,cos(2.*n*(phi1-phi2)),1); //<2>_{2n|2n}
- fDirectCorrelations->Fill(2.,cos(3.*n*(phi1-phi2)),1); //<2>_{3n|3n}
- fDirectCorrelations->Fill(3.,cos(4.*n*(phi1-phi2)),1); //<2>_{4n|4n}
- }
- }
-
- //<3>_{2n|n,n}, <3>_{3n|2n,n}, <3>_{4n|2n,2n} and <3>_{4n|3n,n}
- for(Int_t i1=0;i1<dMult;i1++)
+ aftsTrack=anEvent->GetTrack(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.); // <cos(n*(psi1-phi2))>
+ //.....................................................................................
+ // weighted:
+ //.....................................................................................
+ if(fUsePhiWeights) fDirectCorrelationsDiffFlowW->Fill(0.,cos(1.*n*(psi1-phi2)),wPhi2); // <w2 cos(n*(psi1-phi2))>
+ //.....................................................................................
+
+ //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<nPrim;i2++)
+ }//end of for(Int_t i1=0;i1<nPrim;i1++)
+
+
+
+ /*
+
+ //<3'>_{2n|n,n}
+ for(Int_t i1=0;i1<nPrim;i1++)
{
- fTrack=anEvent->GetTrack(i1);
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<dMult;i2++)
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
{
if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- phi2=fTrack->Phi();
- for(Int_t i3=0;i3<dMult;i3++)
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
{
if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- phi3=fTrack->Phi();
- fDirectCorrelations->Fill(5.,cos(2*n*phi1-n*(phi2+phi3)),1); //<3>_{2n|n,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}
- }
- }
- }
-
- //<4>_{n,n|n,n}, <4>_{2n,n|2n,n}, <4>_{2n,2n|2n,2n}, <4>_{3n|n,n,n}, <4>_{3n,n|3n,n}, <4>_{3n,n|2n,2n} and <4>_{4n|2n,n,n}
- for(Int_t i1=0;i1<dMult;i1++)
- {
- fTrack=anEvent->GetTrack(i1);
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<dMult;i2++)
- {
- if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- phi2=fTrack->Phi();
- for(Int_t i3=0;i3<dMult;i3++)
- {
- if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- phi3=fTrack->Phi();
- for(Int_t i4=0;i4<dMult;i4++)
- {
- if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- phi4=fTrack->Phi();
- 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}
- }
- }
- }
- }
-
- //<5>_{2n,n,n,n,n}, //<5>_{2n,2n|2n,n,n}, <5>_{3n,n|2n,n,n} and <5>_{4n|n,n,n,n}
- for(Int_t i1=0;i1<dMult;i1++)
- {
- //cout<<"i1 = "<<i1<<endl;
- fTrack=anEvent->GetTrack(i1);
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<dMult;i2++)
- {
- if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- phi2=fTrack->Phi();
- for(Int_t i3=0;i3<dMult;i3++)
- {
- if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- phi3=fTrack->Phi();
- for(Int_t i4=0;i4<dMult;i4++)
- {
- if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- phi4=fTrack->Phi();
- for(Int_t i5=0;i5<dMult;i5++)
- {
- if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- phi5=fTrack->Phi();
- fDirectCorrelations->Fill(18.,cos(2.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5),1); //<5>_{2n,n|n,n,n}
- fDirectCorrelations->Fill(19.,cos(2.*n*phi1+2.*n*phi2-2.*n*phi3-n*phi4-n*phi5),1); //<5>_{2n,2n|2n,n,n}
- fDirectCorrelations->Fill(20.,cos(3.*n*phi1+n*phi2-2.*n*phi3-n*phi4-n*phi5),1); //<5>_{3n,n|2n,n,n}
- fDirectCorrelations->Fill(21.,cos(4.*n*phi1-n*phi2-n*phi3-n*phi4-n*phi5),1); //<5>_{4n|n,n,n,n}
- }
- }
- }
- }
- }
-
- //<6>_{n,n,n,n,n,n}, <6>_{2n,n,n|2n,n,n}, <6>_{2n,2n|n,n,n,n} and <6>_{3n,n|n,n,n,n}
- for(Int_t i1=0;i1<dMult;i1++)
- {
- //cout<<"i1 = "<<i1<<endl;
- fTrack=anEvent->GetTrack(i1);
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<dMult;i2++)
- {
- if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- phi2=fTrack->Phi();
- for(Int_t i3=0;i3<dMult;i3++)
- {
- if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- phi3=fTrack->Phi();
- for(Int_t i4=0;i4<dMult;i4++)
- {
- if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- phi4=fTrack->Phi();
- for(Int_t i5=0;i5<dMult;i5++)
- {
- if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- phi5=fTrack->Phi();
- for(Int_t i6=0;i6<dMult;i6++)
- {
- if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
- fTrack=anEvent->GetTrack(i6);
- phi6=fTrack->Phi();
- fDirectCorrelations->Fill(23.,cos(n*phi1+n*phi2+n*phi3-n*phi4-n*phi5-n*phi6),1); //<6>_{n,n,n|n,n,n}
- fDirectCorrelations->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}
- fDirectCorrelations->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}
- fDirectCorrelations->Fill(26.,cos(3.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5-n*phi6),1); //<6>_{3n,n|n,n,n,n}
- }
- }
- }
- }
- }
- }
-
- //<7>_{2n,n,n|n,n,n,n}
- for(Int_t i1=0;i1<dMult;i1++)
- {
- //cout<<"i1 = "<<i1<<endl;
- fTrack=anEvent->GetTrack(i1);
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<dMult;i2++)
- {
- if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- phi2=fTrack->Phi();
- for(Int_t i3=0;i3<dMult;i3++)
- {
- if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- phi3=fTrack->Phi();
- for(Int_t i4=0;i4<dMult;i4++)
- {
- if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- phi4=fTrack->Phi();
- for(Int_t i5=0;i5<dMult;i5++)
- {
- if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- phi5=fTrack->Phi();
- for(Int_t i6=0;i6<dMult;i6++)
- {
- if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
- fTrack=anEvent->GetTrack(i6);
- phi6=fTrack->Phi();
- for(Int_t i7=0;i7<dMult;i7++)
- {
- if(i7==i1||i7==i2||i7==i3||i7==i4||i7==i5||i7==i6)continue;
- fTrack=anEvent->GetTrack(i7);
- phi7=fTrack->Phi();
- fDirectCorrelations->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}
- }
- }
- }
- }
- }
- }
- }
-
- //<8>_{n,n,n,n|n,n,n,n}
- for(Int_t i1=0;i1<dMult;i1++)
- {
- cout<<"i1 = "<<i1<<endl;
- fTrack=anEvent->GetTrack(i1);
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<dMult;i2++)
- {
- if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- phi2=fTrack->Phi();
- for(Int_t i3=0;i3<dMult;i3++)
- {
- if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- phi3=fTrack->Phi();
- for(Int_t i4=0;i4<dMult;i4++)
- {
- if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- phi4=fTrack->Phi();
- for(Int_t i5=0;i5<dMult;i5++)
- {
- if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- phi5=fTrack->Phi();
- for(Int_t i6=0;i6<dMult;i6++)
- {
- if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
- fTrack=anEvent->GetTrack(i6);
- phi6=fTrack->Phi();
- for(Int_t i7=0;i7<dMult;i7++)
- {
- if(i7==i1||i7==i2||i7==i3||i7==i4||i7==i5||i7==i6)continue;
- fTrack=anEvent->GetTrack(i7);
- phi7=fTrack->Phi();
- for(Int_t i8=0;i8<dMult;i8++)
- {
- if(i8==i1||i8==i2||i8==i3||i8==i4||i8==i5||i8==i6||i8==i7)continue;
- fTrack=anEvent->GetTrack(i8);
- phi8=fTrack->Phi();
- fDirectCorrelations->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}
- }
- }
- }
- }
- }
- }
- }
- }
-
- // binning details of fDirectCorrelations (differential flow):
- //
- //41st bin: <2'>_{n|n}
- //42nd bin: <2'>_{2n|2n}
- //43rd bin: <2'>_{3n|3n}
- //44th bin: <2'>_{4n|4n}
- //46th bin: <3'>_{2n|n,n}
- //47th bin: <3'>_{n,n|2n}
- //51st bin: <4'>_{n,n|n,n}
- //56th bin: <5'>_{2n,n|n,n,n}
- //61st bin: <6'>_{n,n,n|n,n,n}
- //66th bin: <7'>_{2n,n,n|n,n,n,n}
- //71st bin: <8'>_{n,n,n,n|n,n,n,n}
-
-
- //<2'>_{n|n}
- for(Int_t i1=0;i1<nPrim;i1++)
- {
- fTrack=anEvent->GetTrack(i1);
- if(!((fTrack->Pt()>=0.5&&fTrack->Pt()<0.6)&&(fTrack->UseForDifferentialFlow())))continue;//POI condition
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<nPrim;i2++)
- {
- if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi2=fTrack->Phi();
- //cout<<"1st = "<<i1<<" "<< (anEvent->GetTrack(i1))->Eta() << " " << (anEvent->GetTrack(i1))->Pt()<<endl;
- //cout<<"2nd = "<<i2<<" "<< (anEvent->GetTrack(i2))->Eta() << " " << (anEvent->GetTrack(i2))->Pt()<<endl;
- //fill the fDirectCorrelations:
- fDirectCorrelations->Fill(40.,cos(1.*n*(phi1-phi2)),1);//<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<nPrim;i2++)
- }//end of for(Int_t i1=0;i1<nPrim;i1++)
-
- //<3'>_{2n|n,n}
- for(Int_t i1=0;i1<nPrim;i1++)
- {
- fTrack=anEvent->GetTrack(i1);
- if(!((fTrack->Pt()>=0.5&&fTrack->Pt()<0.6)&&(fTrack->UseForDifferentialFlow())))continue;//POI condition
- phi1=fTrack->Phi();
- for(Int_t i2=0;i2<nPrim;i2++)
- {
- if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi2=fTrack->Phi();
- for(Int_t i3=0;i3<nPrim;i3++)
- {
- if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi3=fTrack->Phi();
- //fill the fDirectCorrelations:
- fDirectCorrelations->Fill(45.,cos(n*(2.*phi1-phi2-phi3)),1);//<3'>_{2n|n,n}
- fDirectCorrelations->Fill(46.,cos(n*(phi1+phi2-2.*phi3)),1);//<3'>_{n,n|2n}
+ aftsTrack=anEvent->GetTrack(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); // <w1 w2 w3 cos(n(phi2-phi3))>
+ //fDirectCorrelations->Fill(102.,cos(n*(phi1-phi3)),pow(wPhi2,2.)*wPhi3); // <w2^2 w3 cos(n(psi1-phi2))>
+
+ // 3-p
+ //fDirectCorrelations->Fill(110.,cos(n*(2.*phi1-phi2-phi3)),wPhi1*wPhi2*wPhi3); // <w1 w2 w3 cos(n(2psi1-phi2-phi3))>
+ //fDirectCorrelations->Fill(111.,cos(n*(phi1+phi2-2.*phi3)),wPhi2*pow(wPhi3,2.)); // <w2 w3^2 cos(n(psi1+phi2-2.*phi3))>
+
+
+ //fDirectCorrelations->Fill(46.,cos(n*(phi1+phi2-2.*phi3)),1);//<3'>_{n,n|2n}
}//end of for(Int_t i3=0;i3<nPrim;i3++)
}//end of for(Int_t i2=0;i2<nPrim;i2++)
- }//end of for(Int_t i1=0;i1<nPrim;i1++)
-
- //<4'>_{n,n|n,n}
+ }//end of for(Int_t i1=0;i1<nPrim;i1++)
+ */
+
+ // 4'-particle:
for(Int_t i1=0;i1<nPrim;i1++)
{
- fTrack=anEvent->GetTrack(i1);
- if(!((fTrack->Pt()>=0.5&&fTrack->Pt()<0.6)&&(fTrack->UseForDifferentialFlow())))continue;//POI condition
- phi1=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
{
if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi2=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
{
if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi3=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(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;i4<nPrim;i4++)
{
if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi4=fTrack->Phi();
- //fill the fDirectCorrelations:
- fDirectCorrelations->Fill(50.,cos(n*(phi1+phi2-phi3-phi4)),1);//<4'>_{n,n|n,n}
+ aftsTrack=anEvent->GetTrack(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.); // <cos(n(psi1+phi1-phi2-phi3))>
+ //.........................................................................................................................
+ // weighted:
+ //...............................................................................................................................
+ if(fUsePhiWeights) fDirectCorrelationsDiffFlowW->Fill(40.,cos(n*(psi1+phi2-phi3-phi4)),wPhi2*wPhi3*wPhi4); // <w2 w3 w4 cos(n(psi1+phi2-phi3-phi4))>
+ //...............................................................................................................................
+
}//end of for(Int_t i4=0;i4<nPrim;i4++)
}//end of for(Int_t i3=0;i3<nPrim;i3++)
}//end of for(Int_t i2=0;i2<nPrim;i2++)
}//end of for(Int_t i1=0;i1<nPrim;i1++)
-
-
-
-
-
-
-
-
-
-
- */
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
- /*
-
-
-
+ /*
//<5'>_{2n,n|n,n,n}
for(Int_t i1=0;i1<nPrim;i1++)
{
- fTrack=anEvent->GetTrack(i1);
- if(!((fTrack->Pt()>=0.5&&fTrack->Pt()<0.6)&&(fTrack->UseForDifferentialFlow())))continue;//POI condition
- phi1=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i1);
+ if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition
+ phi1=aftsTrack->Phi();
for(Int_t i2=0;i2<nPrim;i2++)
{
if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi2=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i2);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi2=aftsTrack->Phi();
for(Int_t i3=0;i3<nPrim;i3++)
{
if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi3=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i3);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi3=aftsTrack->Phi();
for(Int_t i4=0;i4<nPrim;i4++)
{
if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi4=fTrack->Phi();//
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi4=aftsTrack->Phi();//
for(Int_t i5=0;i5<nPrim;i5++)
{
if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi5=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(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}
+ //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<nPrim;i5++)
}//end of for(Int_t i4=0;i4<nPrim;i4++)
}//end of for(Int_t i3=0;i3<nPrim;i3++)
}//end of for(Int_t i2=0;i2<nPrim;i2++)
}//end of for(Int_t i1=0;i1<nPrim;i1++)
+
+
+ */
+ /*
+
+
+
//<6'>_{n,n,n|n,n,n}
for(Int_t i1=0;i1<nPrim;i1++)
{
- fTrack=anEvent->GetTrack(i1);
- if(!((fTrack->Pt()>=0.5&&fTrack->Pt()<0.6)&&(fTrack->UseForDifferentialFlow())))continue;//POI condition
- phi1=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i1);
+ if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition
+ phi1=aftsTrack->Phi();
for(Int_t i2=0;i2<nPrim;i2++)
{
if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi2=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i2);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi2=aftsTrack->Phi();
for(Int_t i3=0;i3<nPrim;i3++)
{
if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi3=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i3);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi3=aftsTrack->Phi();
for(Int_t i4=0;i4<nPrim;i4++)
{
if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi4=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi4=aftsTrack->Phi();
for(Int_t i5=0;i5<nPrim;i5++)
{
if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi5=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i5);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi5=aftsTrack->Phi();
for(Int_t i6=0;i6<nPrim;i6++)
{
if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
- fTrack=anEvent->GetTrack(i6);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi6=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(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}
+ //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<nPrim;i6++)
}//end of for(Int_t i5=0;i5<nPrim;i5++)
}//end of for(Int_t i4=0;i4<nPrim;i4++)
}//end of for(Int_t i3=0;i3<nPrim;i3++)
}//end of for(Int_t i2=0;i2<nPrim;i2++)
}//end of for(Int_t i1=0;i1<nPrim;i1++)
+
+ */
+ /*
+
+
//<7'>_{2n,n,n|n,n,n,n}
for(Int_t i1=0;i1<nPrim;i1++)
{
- fTrack=anEvent->GetTrack(i1);
- if(!((fTrack->Pt()>=0.5&&fTrack->Pt()<0.6)&&(fTrack->UseForDifferentialFlow())))continue;//POI condition
- phi1=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i1);
+ if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition
+ phi1=aftsTrack->Phi();
for(Int_t i2=0;i2<nPrim;i2++)
{
if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi2=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i2);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi2=aftsTrack->Phi();
for(Int_t i3=0;i3<nPrim;i3++)
{
if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi3=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i3);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi3=aftsTrack->Phi();
for(Int_t i4=0;i4<nPrim;i4++)
{
if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi4=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi4=aftsTrack->Phi();
for(Int_t i5=0;i5<nPrim;i5++)
{
if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi5=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i5);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi5=aftsTrack->Phi();
for(Int_t i6=0;i6<nPrim;i6++)
{
if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
- fTrack=anEvent->GetTrack(i6);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi6=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i6);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi6=aftsTrack->Phi();
for(Int_t i7=0;i7<nPrim;i7++)
{
if(i7==i1||i7==i2||i7==i3||i7==i4||i7==i5||i7==i6)continue;
- fTrack=anEvent->GetTrack(i7);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi7=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(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}
+ //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<nPrim;i7++)
}//end of for(Int_t i6=0;i6<nPrim;i6++)
}//end of for(Int_t i5=0;i5<nPrim;i5++)
}//end of for(Int_t i3=0;i3<nPrim;i3++)
}//end of for(Int_t i2=0;i2<nPrim;i2++)
}//end of for(Int_t i1=0;i1<nPrim;i1++)
+
+
+ */
+ /*
+
+
+
//<8'>_{n,n,n,n|n,n,n,n}
for(Int_t i1=0;i1<nPrim;i1++)
{
- fTrack=anEvent->GetTrack(i1);
- if(!((fTrack->Pt()>=0.5&&fTrack->Pt()<0.6)&&(fTrack->UseForDifferentialFlow())))continue;//POI condition
- phi1=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i1);
+ if(!((aftsTrack->Pt()>=0.5&&aftsTrack->Pt()<0.6)&&(aftsTrack->InPOISelection())))continue;//POI condition
+ phi1=aftsTrack->Phi();
for(Int_t i2=0;i2<nPrim;i2++)
{
if(i2==i1)continue;
- fTrack=anEvent->GetTrack(i2);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi2=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i2);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi2=aftsTrack->Phi();
for(Int_t i3=0;i3<nPrim;i3++)
{
if(i3==i1||i3==i2)continue;
- fTrack=anEvent->GetTrack(i3);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi3=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i3);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi3=aftsTrack->Phi();
for(Int_t i4=0;i4<nPrim;i4++)
{
if(i4==i1||i4==i2||i4==i3)continue;
- fTrack=anEvent->GetTrack(i4);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi4=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi4=aftsTrack->Phi();
for(Int_t i5=0;i5<nPrim;i5++)
{
if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
- fTrack=anEvent->GetTrack(i5);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi5=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i5);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi5=aftsTrack->Phi();
for(Int_t i6=0;i6<nPrim;i6++)
{
if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
- fTrack=anEvent->GetTrack(i6);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi6=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i6);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi6=aftsTrack->Phi();
for(Int_t i7=0;i7<nPrim;i7++)
{
if(i7==i1||i7==i2||i7==i3||i7==i4||i7==i5||i7==i6)continue;
- fTrack=anEvent->GetTrack(i7);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi7=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(i7);
+ if(!(aftsTrack->InRPSelection()))continue;//RP condition
+ phi7=aftsTrack->Phi();
for(Int_t i8=0;i8<nPrim;i8++)
{
if(i8==i1||i8==i2||i8==i3||i8==i4||i8==i5||i8==i6||i8==i7)continue;
- fTrack=anEvent->GetTrack(i8);
- if(!(fTrack->UseForIntegratedFlow()))continue;//RP condition
- phi8=fTrack->Phi();
+ aftsTrack=anEvent->GetTrack(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}
+ //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;i8<nPrim;i8++)
}//end of for(Int_t i7=0;i7<nPrim;i7++)
}//end of for(Int_t i6=0;i6<nPrim;i6++)
- */
+ */
+
-//--------------------------------------------------------------------------------------------------------------------------------
+
+} // end of AliFlowAnalysisWithQCumulants::EvaluateNestedLoopsForDifferentialFlow(AliFlowEventSimple* anEvent)
- //}//end of if(nPrim>0&&nPrim<12)
-}//end of Make()
-//================================================================================================================
+//================================================================================================================================
-void AliFlowAnalysisWithQCumulants::Finish()
-{
- //calculate the final results
- AliQCumulantsFunctions finalResults(fIntFlowResultsQC,fDiffFlowResults2ndOrderQC,fDiffFlowResults4thOrderQC,fCovariances,fAvMultIntFlowQC,fQvectorComponents,fQCorrelations, fQProduct,fDirectCorrelations,f2PerPtBin1n1nRP,f2PerPtBin2n2nRP,f3PerPtBin2n1n1nRP,f3PerPtBin1n1n2nRP,f4PerPtBin1n1n1n1nRP, f2PerEtaBin1n1nRP,f2PerEtaBin2n2nRP,f3PerEtaBin2n1n1nRP,f3PerEtaBin1n1n2nRP,f4PerEtaBin1n1n1n1nRP,f2PerPtBin1n1nPOI,f2PerPtBin2n2nPOI,f3PerPtBin2n1n1nPOI,f3PerPtBin1n1n2nPOI,f4PerPtBin1n1n1n1nPOI, f2PerEtaBin1n1nPOI,f2PerEtaBin2n2nPOI,f3PerEtaBin2n1n1nPOI,f3PerEtaBin1n1n2nPOI,f4PerEtaBin1n1n1n1nPOI,fCommonHists2nd,fCommonHists4th, fCommonHists6th, fCommonHists8th,fCommonHistsResults2nd, fCommonHistsResults4th,fCommonHistsResults6th,fCommonHistsResults8th);
- finalResults.Calculate();
-
-
- /*
+void AliFlowAnalysisWithQCumulants::GetOutputHistograms(TList *outputListHistos)
+{
+ // get pointers to all output histograms (called before Finish())
+ if(outputListHistos)
+ {
+ // 1.) common control histograms and common histograms for final results:
+ AliFlowCommonHist *commonHist = dynamic_cast<AliFlowCommonHist*>(outputListHistos->FindObject("AliFlowCommonHistQC"));
+ if(commonHist) this->SetCommonHists(commonHist);
+ AliFlowCommonHist *commonHist2nd = dynamic_cast<AliFlowCommonHist*>(outputListHistos->FindObject("AliFlowCommonHist2ndOrderQC"));
+ if(commonHist2nd) this->SetCommonHists2nd(commonHist2nd);
+ AliFlowCommonHist *commonHist4th = dynamic_cast<AliFlowCommonHist*>(outputListHistos->FindObject("AliFlowCommonHist4thOrderQC"));
+ if(commonHist4th) this->SetCommonHists4th(commonHist4th);
+ AliFlowCommonHist *commonHist6th = dynamic_cast<AliFlowCommonHist*>(outputListHistos->FindObject("AliFlowCommonHist6thOrderQC"));
+ if(commonHist6th) this->SetCommonHists6th(commonHist6th);
+ AliFlowCommonHist *commonHist8th = dynamic_cast<AliFlowCommonHist*>(outputListHistos->FindObject("AliFlowCommonHist8thOrderQC"));
+ if(commonHist8th) this->SetCommonHists8th(commonHist8th);
+ AliFlowCommonHistResults *commonHistRes2nd = dynamic_cast<AliFlowCommonHistResults*>
+ (outputListHistos->FindObject("AliFlowCommonHistResults2ndOrderQC"));
+ if(commonHistRes2nd) this->SetCommonHistsResults2nd(commonHistRes2nd);
+ AliFlowCommonHistResults *commonHistRes4th = dynamic_cast<AliFlowCommonHistResults*>
+ (outputListHistos->FindObject("AliFlowCommonHistResults4thOrderQC"));
+ if(commonHistRes4th) this->SetCommonHistsResults4th(commonHistRes4th);
+ AliFlowCommonHistResults *commonHistRes6th = dynamic_cast<AliFlowCommonHistResults*>
+ (outputListHistos->FindObject("AliFlowCommonHistResults6thOrderQC"));
+ if(commonHistRes6th) this->SetCommonHistsResults6th(commonHistRes6th);
+ AliFlowCommonHistResults *commonHistRes8th = dynamic_cast<AliFlowCommonHistResults*>
+ (outputListHistos->FindObject("AliFlowCommonHistResults8thOrderQC"));
+ if(commonHistRes8th) this->SetCommonHistsResults8th(commonHistRes8th);
+
+ // 2.) weights:
+ TList *weightsList = dynamic_cast<TList*>(outputListHistos->FindObject("Weights"));
+ if(weightsList) this->SetWeightsList(weightsList);
+ Bool_t bUsePhiWeights = kFALSE;
+ Bool_t bUsePtWeights = kFALSE;
+ Bool_t bUseEtaWeights = kFALSE;
+ TProfile *useParticleWeights = dynamic_cast<TProfile*>(weightsList->FindObject("fUseParticleWeights"));
+ if(useParticleWeights)
+ {
+ this->SetUseParticleWeights(useParticleWeights);
+ bUsePhiWeights = (Int_t)useParticleWeights->GetBinContent(1);
+ bUsePtWeights = (Int_t)useParticleWeights->GetBinContent(2);
+ bUseEtaWeights = (Int_t)useParticleWeights->GetBinContent(3);
+ }
+
+ // 3.) integrated flow:
+ TList *intFlowList = NULL;
+ TList *intFlowProfiles = NULL;
+ TList *intFlowResults = NULL;
+
+ intFlowList = dynamic_cast<TList*>(outputListHistos->FindObject("Integrated Flow"));
+ if(intFlowList)
+ {
+ intFlowProfiles = dynamic_cast<TList*>(intFlowList->FindObject("Profiles"));
+ intFlowResults = dynamic_cast<TList*>(intFlowList->FindObject("Results"));
+ } else
+ {
+ cout<<"WARNING: intFlowList is NULL in AFAWQC::GOH() !!!!"<<endl;
+ }
+
+ // profiles:
+ if(intFlowProfiles)
+ {
+ // average multiplicities:
+ TProfile *avMultiplicity = dynamic_cast<TProfile*>(intFlowProfiles->FindObject("fAvMultiplicity"));
+ if(avMultiplicity)
+ {
+ this->SetAvMultiplicity(avMultiplicity);
+ } else
+ {
+ cout<<"WARNING: avMultiplicity is NULL in AFAWQC::GOH() !!!!"<<endl;
+ }
+ // flags: (to be improved (united with other flags in this method))
+ TString pWeightsFlag[2] = {"pWeights not used","pWeights used"};
+ TString eWeightsFlag[2] = {"exact eWeights","non-exact eWeights"};
+ //TString nuaFlag[2] = {"not corrected","corrected"};
+ TString sinCosFlag[2] = {"sin","cos"};
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
- // !!!! to be removed !!!!
-
- TCanvas* qvectorPlot = new TCanvas("qvectorPlot","Q-vector Plot",1000,1000);
-
- qvectorPlot->cd(1);
-
- TH1D* style = new TH1D("style","Q-vectors",100,-244,244);
- (style->GetYaxis())->SetRangeUser(-244,244);
-
- style->Draw();
+ for(Int_t pW=0;pW<1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights);pW++)
+ {
+ for(Int_t eW=0;eW<1;eW++)
+ {
+ // correlations (profiles):
+ TProfile *qCorrelations = dynamic_cast<TProfile*>(intFlowProfiles->FindObject(Form("fQCorrelations: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(qCorrelations)
+ {
+ this->SetQCorrelations(qCorrelations,pW,eW);
+ } else
+ {
+ cout<<"WARNING: qCorrelations is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // products (profiles):
+ TProfile *qProducts = dynamic_cast<TProfile*>(intFlowProfiles->FindObject(Form("fQProducts: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(qProducts)
+ {
+ this->SetQProducts(qProducts,pW,eW);
+ } else
+ {
+ cout<<"WARNING: qProducts is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // corrections (profiles):
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ TProfile *qCorrections = dynamic_cast<TProfile*>(intFlowProfiles->FindObject((Form("fQCorrections: %s, %s, %s terms",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),sinCosFlag[sc].Data()))));
+ if(qCorrections)
+ {
+ this->SetQCorrections(qCorrections,pW,eW,sc);
+ } else
+ {
+ cout<<"WARNING: qCorrections is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"sc = "<<sc<<endl;
+ }
+ } // end of for(Int_t sc=0;sc<2;sc++)
+ } // end of for(Int_t eW=0;eW<1;eW++)
+ } // end of for(Int_t pW=0;pW<1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights);pW++)
+ } else // to if(intFlowProfiles)
+ {
+ cout<<"WARNING: intFlowProfiles is NULL in AFAWQC::GOH() !!!!"<<endl;
+ }
+
+ // results:
+ if(intFlowResults)
+ {
+ for(Int_t pW=0;pW<1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights);pW++)
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // flags: (to be improved (united with other flags in this method))
+ TString pWeightsFlag[2] = {"pWeights not used","pWeights used"};
+ TString eWeightsFlag[2] = {"exact eWeights","non-exact eWeights"};
+ TString nuaFlag[2] = {"not corrected","corrected"};
+ TString powerFlag[2] = {"linear","quadratic"};
+ //TString sinCosFlag[2] = {"sin","cos"};
+ // correlations (results):
+ TH1D *correlations = dynamic_cast<TH1D*>(intFlowResults->FindObject(Form("fCorrelations: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(correlations)
+ {
+ this->SetCorrelations(correlations,pW,eW);
+ } else
+ {
+ cout<<"WARNING: correlations is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // corrections (results):
+ TH1D *corrections = dynamic_cast<TH1D*>(intFlowResults->FindObject(Form("fCorrections: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(corrections)
+ {
+ this->SetCorrections(corrections,pW,eW);
+ } else
+ {
+ cout<<"WARNING: corrections is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // covariances (results):
+ TH1D *covariances = dynamic_cast<TH1D*>(intFlowResults->FindObject(Form("fCovariances: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(covariances)
+ {
+ this->SetCovariances(covariances,pW,eW);
+ } else
+ {
+ cout<<"WARNING: covariances is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // sum of linear and quadratic event weights (results):
+ for(Int_t power=0;power<2;power++)
+ {
+ TH1D *sumOfEventWeights = dynamic_cast<TH1D*>(intFlowResults->FindObject(Form("fSumOfEventWeights: %s, %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),powerFlag[power].Data())));
+ if(sumOfEventWeights)
+ {
+ this->SetSumOfEventWeights(sumOfEventWeights,pW,eW,power);
+ } else
+ {
+ cout<<"WARNING: sumOfEventWeights is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"power = "<<power<<endl;
+ }
+ } // end of for(Int_t power=0;power<2;power++)
+ // products of event weights (results):
+ TH1D *productOfEventWeights = dynamic_cast<TH1D*>(intFlowResults->FindObject(Form("fProductOfEventWeights: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(productOfEventWeights)
+ {
+ this->SetProductOfEventWeights(productOfEventWeights,pW,eW);
+ } else
+ {
+ cout<<"WARNING: productOfEventWeights is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ // integrated Q-cumulants:
+ TH1D *cumulants = dynamic_cast<TH1D*>(intFlowResults->FindObject(Form("fCumulants: %s, %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data())));
+ if(cumulants)
+ {
+ this->SetCumulants(cumulants,pW,eW,nua);
+ } else
+ {
+ cout<<"WARNING: cumulants is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ }
+ // integrated flow estimates from Q-cumulants:
+ TH1D *intFlow = dynamic_cast<TH1D*>(intFlowResults->FindObject(Form("fIntFlow: %s, %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data())));
+ if(intFlow)
+ {
+ this->SetIntFlow(intFlow,pW,eW,nua);
+ } else
+ {
+ cout<<"WARNING: intFlow is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ }
+ } // end of for(Int_t nua=0;nua<2;nua++)
+ } // end of for(Int_t eW=0;eW<1;eW++)
+ } // end of for(Int_t pW=0;pW<1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights);pW++)
+ } else // to if(intFlowResults)
+ {
+ cout<<"WARNING: intFlowResults is NULL in AFAWQC::GOH() !!!!"<<endl;
+ }
+
+ // differential flow:
+ TString typeFlag[2] = {"RP","POI"};
+ TString pWeightsFlag[2] = {"not used","used"};
+ TString eWeightsFlag[2] = {"exact","non-exact"};
+ TString sinCosFlag[2] = {"sin","cos"};
+ TString nuaFlag[2] = {"not corrected","corrected"}; // nua = non-uniform acceptance
+ TString ptEtaFlag[2] = {"p_{t}","#eta"};
+ // base list fDiffFlowList "Differential Flow":
+ TList *diffFlowList = NULL;
+ diffFlowList = dynamic_cast<TList*>(outputListHistos->FindObject("Differential Flow"));
+ // list holding nested lists containing profiles:
+ TList *diffFlowListProfiles = NULL;
+ // list holding nested lists containing 2D and 1D histograms with final results:
+ TList *diffFlowListResults = NULL;
+ if(diffFlowList)
+ {
+ diffFlowListProfiles = dynamic_cast<TList*>(diffFlowList->FindObject("Profiles"));
+ diffFlowListResults = dynamic_cast<TList*>(diffFlowList->FindObject("Results"));
+ } else
+ {
+ cout<<"WARNING: diffFlowList is NULL in AFAWQC::GOH() !!!!"<<endl;
+ }
- Int_t nBins=fQvectorForEachEventX->GetNbinsX();
- Double_t qxxx=0.,qyyy=0.;
- //cout<<"nBins = "<<nBins<<endl;
- //cout<<fQvectorForEachEventX->GetBinEntries(4)<<endl;
- //cout<<fQvectorForEachEventY->GetBinEntries(4)<<endl;
-
- for(Int_t b=1;b<nBins+1;b++)
- {
- if(fQvectorForEachEventX->GetBinEntries(b)==1 && fQvectorForEachEventY->GetBinEntries(b)==1)
+ // nested list in the list of profiles fDiffFlowListProfiles "Profiles":
+ TList *dfpType[2] = {NULL};
+ TList *dfpParticleWeights[2][2] = {{NULL}};
+ TList *dfpEventWeights[2][2][2] = {{{NULL}}};
+ TList *diffFlowCorrelations[2][2][2] = {{{NULL}}};
+ TList *diffFlowProductsOfCorrelations[2][2][2] = {{{NULL}}};
+ TList *diffFlowCorrectionTerms[2][2][2][2] = {{{{NULL}}}};
+
+ if(diffFlowListProfiles)
{
- qxxx=fQvectorForEachEventX->GetBinContent(b);
- qyyy=fQvectorForEachEventY->GetBinContent(b);
- //cout<<qxxx<<" "<<qyyy<<endl;
- TArrow *qvector = new TArrow(0.0,0.0,qxxx,qyyy,0.0144,"|>");
- qvector->SetAngle(40);
- qvector->SetLineWidth(2);
- qvector->Draw("");
- }
- }
-
- //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
-
- */
-
-}
-
-//================================================================================================================
-
-void AliFlowAnalysisWithQCumulants::WriteHistograms(TString outputFileName)
-{
- //store the final results in output .root file
- TFile *output = new TFile(outputFileName.Data(),"RECREATE");
- output->WriteObject(fHistList, "cobjQC","SingleKey");
- delete output;
+ for(Int_t t=0;t<2;t++)
+ {
+ dfpType[t] = dynamic_cast<TList*>(diffFlowListProfiles->FindObject(typeFlag[t].Data()));
+ if(dfpType[t])
+ {
+ for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ {
+ dfpParticleWeights[t][pW] = dynamic_cast<TList*>(dfpType[t]->FindObject(Form("%s, pWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data())));
+ if(dfpParticleWeights[t][pW])
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ dfpEventWeights[t][pW][eW] = dynamic_cast<TList*>(dfpParticleWeights[t][pW]->FindObject(Form("%s, pWeights %s, eWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(dfpEventWeights[t][pW][eW])
+ {
+ // correlations:
+ diffFlowCorrelations[t][pW][eW] = dynamic_cast<TList*>(dfpEventWeights[t][pW][eW]->FindObject(Form("Correlations (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ // products of correlations:
+ diffFlowProductsOfCorrelations[t][pW][eW] = dynamic_cast<TList*>(dfpEventWeights[t][pW][eW]->FindObject(Form("Products of correlations (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ // correction terms:
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ diffFlowCorrectionTerms[t][pW][eW][sc] = dynamic_cast<TList*>(dfpEventWeights[t][pW][eW]->FindObject(Form("Corrections for NUA (%s, pWeights %s, eWeights %s, %s terms)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),sinCosFlag[sc].Data())));
+ //this->SetDiffFlowCorrectionTerms(diffFlowCorrectionTerms[t][pW][sc],t,pW,sc);
+ }
+ } else // to if(dfpEventWeights[t][pW][eW])
+ {
+ cout<<"WARNING: dfpEventWeights[t][pW][eW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ } // end of for(Int_t eW=0;eW<2;eW++)
+ } else // to if(dfpParticleWeights[t][pW])
+ {
+ cout<<"WARNING: dfpParticleWeights[t][pW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ }
+ } // end of for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ } else // if(dfpType[t])
+ {
+ cout<<"WARNING: dfpType[t] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ }
+ } // end of for(Int_t t=0;t<2;t++)
+ } else // to if(diffFlowListProfiles)
+ {
+ cout<<"WARNING: diffFlowListProfiles is NULL in AFAWQC::GOH() !!!!"<<endl;
+ }
+
+ TProfile2D *correlationsPro[2][2][2][4] = {{{{NULL}}}};
+ TProfile2D *productsOfCorrelationsPro[2][2][2][5] = {{{{NULL}}}};
+ TProfile2D *correctionTermsPro[2][2][2][2][2] = {{{{{NULL}}}}};
+
+ TString correlationName[4] = {"<2'>","<4'>","<6'>","<8'>"};
+ TString cumulantName[4] = {"QC{2'}","QC{4'}","QC{6'}","QC{8'}"};
+ TString productOfCorrelationsName[5] = {"<2><2'>","<2><4'>","<4><2'>","<4><4'>","<2'><4'>"};
+ TString correctionsSinTermsName[2] = {"sin(1)","sin(2)"};
+ TString correctionsCosTermsName[2] = {"cos(1)","cos(2)"};
+ TString correctionName[4] = {"corr. to QC{2'}","corr. to QC{4'}","corr. to QC{6'}","corr. to QC{8'}"};
+ TString covarianceName[4] = {"Cov(2,2')","Cov(2,4')","Cov(2',4')","Cov(4,2')"}; // to be improved (reorganized)
+ TString flowName[4] = {"v'{2}","v'{4}","v'{6}","v'{8}"};
+
+ for(Int_t t=0;t<2;t++)
+ {
+ for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // correlations:
+ if(diffFlowCorrelations[t][pW][eW])
+ {
+ for(Int_t correlationIndex=0;correlationIndex<4;correlationIndex++)
+ {
+ correlationsPro[t][pW][eW][correlationIndex] = dynamic_cast<TProfile2D*>(diffFlowCorrelations[t][pW][eW]->FindObject(correlationName[correlationIndex].Data()));
+ if(correlationsPro[t][pW][eW][correlationIndex])
+ {
+ this->SetCorrelationsPro(correlationsPro[t][pW][eW][correlationIndex],t,pW,eW,correlationIndex);
+ } else // to if(correlationsPro[t][pW][ew][correlationIndex])
+ {
+ cout<<"WARNING: correlationsPro[t][pW][eW][correlationIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"ci = "<<correlationIndex<<endl;
+ }
+ }
+ } else // to if(diffFlowCorrelations[t][pW][eW])
+ {
+ cout<<"WARNING: diffFlowCorrelations[t][pW][eW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // products of correlations:
+ if(diffFlowProductsOfCorrelations[t][pW][eW])
+ {
+ for(Int_t productOfCorrelationsIndex=0;productOfCorrelationsIndex<5;productOfCorrelationsIndex++)
+ {
+ productsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex] = dynamic_cast<TProfile2D*>(diffFlowProductsOfCorrelations[t][pW][eW]->FindObject(productOfCorrelationsName[productOfCorrelationsIndex].Data()));
+ if(productsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex])
+ {
+ this->SetProductsOfCorrelationsPro(productsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex],t,pW,eW,productOfCorrelationsIndex);
+ } else // to if(productsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex])
+ {
+ cout<<"WARNING: productsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"ci = "<<productOfCorrelationsIndex<<endl;
+ }
+ }
+ } else // to if(diffFlowProductsOfCorrelations[t][pW][eW])
+ {
+ cout<<"WARNING: diffFlowProductsOfCorrelations[t][pW][eW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // correction terms:
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ if(diffFlowCorrectionTerms[t][pW][eW][sc])
+ {
+ for(Int_t correctionIndex=0;correctionIndex<2;correctionIndex++)
+ {
+ if(sc==0)
+ {
+ correctionTermsPro[t][pW][eW][sc][correctionIndex] = dynamic_cast<TProfile2D*>(diffFlowCorrectionTerms[t][pW][eW][sc]->FindObject(correctionsSinTermsName[correctionIndex].Data()));
+ if(correctionTermsPro[t][pW][eW][sc][correctionIndex])
+ {
+ this->SetCorrectionTermsPro(correctionTermsPro[t][pW][eW][sc][correctionIndex],t,pW,eW,sc,correctionIndex);
+ } else
+ {
+ cout<<"WARNING: correctionTermsPro[t][pW][eW][sc][correctionIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"sc = "<<sc<<endl;
+ cout<<"ci = "<<correctionIndex<<endl;
+ }
+ }
+ if(sc==1)
+ {
+ correctionTermsPro[t][pW][eW][sc][correctionIndex] = dynamic_cast<TProfile2D*>(diffFlowCorrectionTerms[t][pW][eW][sc]->FindObject(correctionsCosTermsName[correctionIndex].Data()));
+ if(correctionTermsPro[t][pW][eW][sc][correctionIndex])
+ {
+ this->SetCorrectionTermsPro(correctionTermsPro[t][pW][eW][sc][correctionIndex],t,pW,eW,sc,correctionIndex);
+ } else
+ {
+ cout<<"WARNING: correctionTermsPro[t][pW][eW][sc][correctionIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"sc = "<<sc<<endl;
+ cout<<"ci = "<<correctionIndex<<endl;
+ }
+ }
+ } // end of for(Int_t correctionIndex=0;correctionIndex<2;correctionIndex++)
+ } else // to if(diffFlowCorrectionTerms[t][pW][eW][sc])
+ {
+ cout<<"WARNING: diffFlowCorrectionTerms[t][pW][eW][sc] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"sc = "<<sc<<endl;
+ }
+ } // end of for(Int_t sc=0;sc<2;sc++)
+ } // end of for(Int_t eW=0;eW<2;eW++)
+ } // end of for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ } // end of for(Int_t t=0;t<2;t++)
+
+ // nested list in the list of results fDiffFlowListResults "Results":
+ TList *dfrType[2] = {NULL};
+ TList *dfrParticleWeights[2][2] = {{NULL}};
+ TList *dfrEventWeights[2][2][2] = {{{NULL}}};
+ TList *dfrCorrections[2][2][2][2] = {{{{NULL}}}};
+ TList *diffFlowFinalCorrelations[2][2][2] = {{{NULL}}};
+ TList *diffFlowFinalCorrections[2][2][2] = {{{NULL}}};
+ TList *diffFlowFinalCovariances[2][2][2] = {{{NULL}}};
+ TList *diffFlowFinalCumulants[2][2][2][2] = {{{{NULL}}}};
+ TList *diffFlowFinalFlow[2][2][2][2] = {{{{NULL}}}};
+
+ if(diffFlowListResults)
+ {
+ for(Int_t t=0;t<2;t++)
+ {
+ dfrType[t] = dynamic_cast<TList*>(diffFlowListResults->FindObject(typeFlag[t].Data()));
+ if(dfrType[t])
+ {
+ for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ {
+ dfrParticleWeights[t][pW] = dynamic_cast<TList*>(dfrType[t]->FindObject(Form("%s, pWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data())));
+ if(dfrParticleWeights[t][pW])
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ dfrEventWeights[t][pW][eW] = dynamic_cast<TList*>(dfrParticleWeights[t][pW]->FindObject(Form("%s, pWeights %s, eWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ if(dfrEventWeights[t][pW][eW])
+ {
+ diffFlowFinalCorrelations[t][pW][eW] = dynamic_cast<TList*>(dfrEventWeights[t][pW][eW]->FindObject(Form("Correlations (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ diffFlowFinalCorrections[t][pW][eW] = dynamic_cast<TList*>(dfrEventWeights[t][pW][eW]->FindObject(Form("Corrections (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ diffFlowFinalCovariances[t][pW][eW] = dynamic_cast<TList*>(dfrEventWeights[t][pW][eW]->FindObject(Form("Covariances (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data())));
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ dfrCorrections[t][pW][eW][nua] = dynamic_cast<TList*>(dfrEventWeights[t][pW][eW]->FindObject(Form("%s, pWeights %s, eWeights %s, %s for NUA",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data())));
+ if(dfrCorrections[t][pW][eW][nua])
+ {
+ diffFlowFinalCumulants[t][pW][eW][nua] = dynamic_cast<TList*>(dfrCorrections[t][pW][eW][nua]->FindObject(Form("Cumulants (%s, pWeights %s, eWeights %s, %s for NUA)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data())));
+ diffFlowFinalFlow[t][pW][eW][nua] = dynamic_cast<TList*>(dfrCorrections[t][pW][eW][nua]->FindObject(Form("Differential Flow (%s, pWeights %s, eWeights %s, %s for NUA)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data())));
+ } else // to if(dfrCorrections[t][pW][eW][nua])
+ {
+ cout<<"WARNING: dfrCorrections[t][pW][eW][nua] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ }
+ } // end of for(Int_t nua=0;nua<2;nua++)
+ } else // to if(dfrEventWeights[t][pW][eW])
+ {
+ cout<<"WARNING: dfrEventWeights[t][pW][eW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ } // end of for(Int_t eW=0;eW<2;eW++)
+ } else // to if(dfrParticleWeights[t][pW])
+ {
+ cout<<"WARNING: dfrParticleWeights[t][pW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ }
+ } // end of for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ } else // to if(dfrType[t])
+ {
+ cout<<"WARNING: dfrType[t] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ }
+ } // end of for(Int_t t=0;t<2;t++)
+ } else // to if(diffFlowListResults)
+ {
+ cout<<"WARNING: diffFlowListResults is NULL in AFAWQC::GOH() !!!!"<<endl;
+ }
+
+ TH2D *finalCorrelations2D[2][2][2][4] = {{{{NULL}}}};
+ TH1D *finalCorrelations1D[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH2D *finalCumulants2D[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH1D *finalCumulantsPt[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH1D *finalCumulantsEta[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH2D *finalCorrections2D[2][2][2][4] = {{{{NULL}}}};
+ TH1D *finalCorrections1D[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH2D *finalCovariances2D[2][2][2][4] = {{{{NULL}}}};
+ TH1D *finalCovariances1D[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH2D *finalFlow2D[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH1D *finalFlowPt[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH1D *finalFlowEta[2][2][2][2][4] = {{{{{NULL}}}}};
+ TH2D *nonEmptyBins2D[2] = {NULL};
+ TH1D *nonEmptyBins1D[2][2] = {{NULL}};
+
+ for(Int_t t=0;t<2;t++)
+ {
+ // 2D:
+ nonEmptyBins2D[t] = dynamic_cast<TH2D*>(dfrType[t]->FindObject(Form("%s, (p_{t},#eta)",typeFlag[t].Data())));
+ if(nonEmptyBins2D[t])
+ {
+ this->SetNonEmptyBins2D(nonEmptyBins2D[t],t);
+ } else
+ {
+ cout<<"WARNING: nonEmptyBins2D[t] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ }
+ // 1D:
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ nonEmptyBins1D[t][pe] = dynamic_cast<TH1D*>(dfrType[t]->FindObject(Form("%s, %s",typeFlag[t].Data(),ptEtaFlag[pe].Data())));
+ if(nonEmptyBins1D[t][pe])
+ {
+ this->SetNonEmptyBins1D(nonEmptyBins1D[t][pe],t,pe);
+ } else
+ {
+ cout<<"WARNING: nonEmptyBins1D[t][pe] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pe = "<<pe<<endl;
+ }
+ }
+
+ for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // correlations:
+ if(diffFlowFinalCorrelations[t][pW][eW])
+ {
+ for(Int_t correlationIndex=0;correlationIndex<4;correlationIndex++)
+ {
+ // 2D:
+ finalCorrelations2D[t][pW][eW][correlationIndex] = dynamic_cast<TH2D*>(diffFlowFinalCorrelations[t][pW][eW]->FindObject(Form("%s, (p_{t},#eta)",correlationName[correlationIndex].Data())));
+ if(finalCorrelations2D[t][pW][eW][correlationIndex])
+ {
+ this->SetFinalCorrelations2D(finalCorrelations2D[t][pW][eW][correlationIndex],t,pW,eW,correlationIndex);
+ } else
+ {
+ cout<<"WARNING: finalCorrelations2D[t][pW][eW][correlationIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"ci = "<<correlationIndex<<endl;
+ }
+ // 1D
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ if(pe==0)
+ {
+ finalCorrelations1D[t][pW][eW][pe][correlationIndex] = dynamic_cast<TH1D*>(diffFlowFinalCorrelations[t][pW][eW]->FindObject(Form("%s, (p_{t})",correlationName[correlationIndex].Data())));
+ }
+ if(pe==1)
+ {
+ finalCorrelations1D[t][pW][eW][pe][correlationIndex] = dynamic_cast<TH1D*>(diffFlowFinalCorrelations[t][pW][eW]->FindObject(Form("%s, (#eta)",correlationName[correlationIndex].Data())));
+ }
+ if(finalCorrelations1D[t][pW][eW][pe][correlationIndex])
+ {
+ this->SetFinalCorrelations1D(finalCorrelations1D[t][pW][eW][pe][correlationIndex],t,pW,eW,pe,correlationIndex);
+ } else
+ {
+ cout<<"WARNING: finalCorrelations1D[t][pW][eW][pe][correlationIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"pe = "<<pe<<endl;
+ cout<<"ci = "<<correlationIndex<<endl;
+ }
+ } // end of for(Int_t pe=0;pe<2;pe++)
+ } // end of for(Int_t correlationIndex=0;correlationIndex<4;correlationIndex++)
+ } else // to if(diffFlowFinalCorrelations[t][pW][eW])
+ {
+ cout<<"WARNING: diffFlowFinalCorrelations[t][pW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // corrections:
+ if(diffFlowFinalCorrections[t][pW][eW])
+ {
+ for(Int_t correctionIndex=0;correctionIndex<4;correctionIndex++)
+ {
+ // 2D:
+ finalCorrections2D[t][pW][eW][correctionIndex] = dynamic_cast<TH2D*>(diffFlowFinalCorrections[t][pW][eW]->FindObject(Form("%s, (p_{t},#eta)",correctionName[correctionIndex].Data())));
+ if(finalCorrections2D[t][pW][eW][correctionIndex])
+ {
+ this->SetFinalCorrections2D(finalCorrections2D[t][pW][eW][correctionIndex],t,pW,eW,correctionIndex);
+ } else
+ {
+ cout<<"WARNING: finalCorrections2D[t][pW][eW][correctionIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"ci = "<<correctionIndex<<endl;
+ }
+ // 1D
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ if(pe==0)
+ {
+ finalCorrections1D[t][pW][eW][pe][correctionIndex] = dynamic_cast<TH1D*>(diffFlowFinalCorrections[t][pW][eW]->FindObject(Form("%s, (p_{t})",correctionName[correctionIndex].Data())));
+ }
+ if(pe==1)
+ {
+ finalCorrections1D[t][pW][eW][pe][correctionIndex] = dynamic_cast<TH1D*>(diffFlowFinalCorrections[t][pW][eW]->FindObject(Form("%s, (#eta)",correctionName[correctionIndex].Data())));
+ }
+ if(finalCorrections1D[t][pW][eW][pe][correctionIndex])
+ {
+ this->SetFinalCorrections1D(finalCorrections1D[t][pW][eW][pe][correctionIndex],t,pW,eW,pe,correctionIndex);
+ } else
+ {
+ cout<<"WARNING: finalCorrections1D[t][pW][eW][pe][correctionIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"pe = "<<pe<<endl;
+ cout<<"ci = "<<correctionIndex<<endl;
+ }
+ } // end of for(Int_t pe=0;pe<2;pe++)
+ } // end of for(Int_t correctionIndex=0;correctionIndex<4;correctionIndex++)
+ } else // to if(diffFlowFinalCorrections[t][pW][eW])
+ {
+ cout<<"WARNING: diffFlowFinalCorrections[t][pW][eW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+ // covariances:
+ if(diffFlowFinalCovariances[t][pW][eW])
+ {
+ for(Int_t covarianceIndex=0;covarianceIndex<4;covarianceIndex++)
+ {
+ // 2D:
+ finalCovariances2D[t][pW][eW][covarianceIndex] = dynamic_cast<TH2D*>(diffFlowFinalCovariances[t][pW][eW]->FindObject(Form("%s, (p_{t},#eta)",covarianceName[covarianceIndex].Data())));
+ if(finalCovariances2D[t][pW][eW][covarianceIndex])
+ {
+ this->SetFinalCovariances2D(finalCovariances2D[t][pW][eW][covarianceIndex],t,pW,eW,covarianceIndex);
+ } else
+ {
+ cout<<"WARNING: finalCovariances2D[t][pW][eW][nua][covarianceIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"ci = "<<covarianceIndex<<endl;
+ }
+ // 1D:
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ if(pe==0)
+ {
+ finalCovariances1D[t][pW][eW][pe][covarianceIndex] = dynamic_cast<TH1D*>(diffFlowFinalCovariances[t][pW][eW]->FindObject(Form("%s, (p_{t})",covarianceName[covarianceIndex].Data())));
+ }
+ if(pe==1)
+ {
+ finalCovariances1D[t][pW][eW][pe][covarianceIndex] = dynamic_cast<TH1D*>(diffFlowFinalCovariances[t][pW][eW]->FindObject(Form("%s, (#eta)",covarianceName[covarianceIndex].Data())));
+ }
+ if(finalCovariances1D[t][pW][eW][pe][covarianceIndex])
+ {
+ this->SetFinalCovariances1D(finalCovariances1D[t][pW][eW][pe][covarianceIndex],t,pW,eW,pe,covarianceIndex);
+ } else
+ {
+ cout<<"WARNING: finalCovariances1D[t][pW][eW][pe][covarianceIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"pe = "<<pe<<endl;
+ cout<<"ci = "<<covarianceIndex<<endl;
+ }
+ } // end of for(Int_t pe=0;pe<2;pe++)
+ } // end of for(Int_t covarianceIndex=0;covarianceIndex<4;covarianceIndex++)
+ } else // to if(diffFlowFinalCovariances[t][pW][eW])
+ {
+ cout<<"WARNING: diffFlowFinalCovariances[t][pW][eW] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ }
+
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ // cumulants:
+ if(diffFlowFinalCumulants[t][pW][eW][nua])
+ {
+ for(Int_t cumulantIndex=0;cumulantIndex<4;cumulantIndex++)
+ {
+ // 2D:
+ finalCumulants2D[t][pW][eW][nua][cumulantIndex] = dynamic_cast<TH2D*>(diffFlowFinalCumulants[t][pW][eW][nua]->FindObject(Form("%s, (p_{t},#eta)",cumulantName[cumulantIndex].Data())));
+ if(finalCumulants2D[t][pW][eW][nua][cumulantIndex])
+ {
+ this->SetFinalCumulants2D(finalCumulants2D[t][pW][eW][nua][cumulantIndex],t,pW,eW,nua,cumulantIndex);
+ } else
+ {
+ cout<<"WARNING: finalCumulants2D[t][pW][eW][nua][cumulantIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"ci = "<<cumulantIndex<<endl;
+ }
+ // pt:
+ finalCumulantsPt[t][pW][eW][nua][cumulantIndex] = dynamic_cast<TH1D*>(diffFlowFinalCumulants[t][pW][eW][nua]->FindObject(Form("%s, (p_{t})",cumulantName[cumulantIndex].Data())));
+ if(finalCumulantsPt[t][pW][eW][nua][cumulantIndex])
+ {
+ this->SetFinalCumulantsPt(finalCumulantsPt[t][pW][eW][nua][cumulantIndex],t,pW,eW,nua,cumulantIndex);
+ } else
+ {
+ cout<<"WARNING: finalCumulantsPt[t][pW][eW][nua][cumulantIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"ci = "<<cumulantIndex<<endl;
+ }
+ // eta:
+ finalCumulantsEta[t][pW][eW][nua][cumulantIndex] = dynamic_cast<TH1D*>(diffFlowFinalCumulants[t][pW][eW][nua]->FindObject(Form("%s, (#eta)",cumulantName[cumulantIndex].Data())));
+ if(finalCumulantsEta[t][pW][eW][nua][cumulantIndex])
+ {
+ this->SetFinalCumulantsEta(finalCumulantsEta[t][pW][eW][nua][cumulantIndex],t,pW,eW,nua,cumulantIndex);
+ } else
+ {
+ cout<<"WARNING: finalCumulantsEta[t][pW][eW][nua][cumulantIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"ci = "<<cumulantIndex<<endl;
+ }
+ } // end of for(Int_t cumulantIndex=0;cumulantIndex<4;cumulantIndex++)
+ } else // to if(diffFlowFinalCumulants[t][pW][eW][nua])
+ {
+ cout<<"WARNING: diffFlowFinalCumulants[t][pW][eW][nua] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ }
+ // flow:
+ if(diffFlowFinalFlow[t][pW][eW][nua])
+ {
+ for(Int_t flowIndex=0;flowIndex<4;flowIndex++)
+ {
+ // 2D:
+ finalFlow2D[t][pW][eW][nua][flowIndex] = dynamic_cast<TH2D*>(diffFlowFinalFlow[t][pW][eW][nua]->FindObject(Form("%s, (p_{t},#eta)",flowName[flowIndex].Data())));
+ if(finalFlow2D[t][pW][eW][nua][flowIndex])
+ {
+ this->SetFinalFlow2D(finalFlow2D[t][pW][eW][nua][flowIndex],t,pW,eW,nua,flowIndex);
+ } else
+ {
+ cout<<"WARNING: finalFlow2D[t][pW][eW][nua][flowIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"ci = "<<flowIndex<<endl;
+ }
+ // pt:
+ finalFlowPt[t][pW][eW][nua][flowIndex] = dynamic_cast<TH1D*>(diffFlowFinalFlow[t][pW][eW][nua]->FindObject(Form("%s, (p_{t})",flowName[flowIndex].Data())));
+ if(finalFlowPt[t][pW][eW][nua][flowIndex])
+ {
+ this->SetFinalFlowPt(finalFlowPt[t][pW][eW][nua][flowIndex],t,pW,eW,nua,flowIndex);
+ } else
+ {
+ cout<<"WARNING: finalFlow1D[t][pW][nua][flowIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"ci = "<<flowIndex<<endl;
+ }
+ // eta:
+ finalFlowEta[t][pW][eW][nua][flowIndex] = dynamic_cast<TH1D*>(diffFlowFinalFlow[t][pW][eW][nua]->FindObject(Form("%s, (#eta)",flowName[flowIndex].Data())));
+ if(finalFlowEta[t][pW][eW][nua][flowIndex])
+ {
+ this->SetFinalFlowEta(finalFlowEta[t][pW][eW][nua][flowIndex],t,pW,eW,nua,flowIndex);
+ } else
+ {
+ cout<<"WARNING: finalFlow1D[t][pW][nua][flowIndex] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"ci = "<<flowIndex<<endl;
+ }
+ } // end of for(Int_t flowIndex=0;flowIndex<4;flowIndex++)
+ } else // to if(diffFlowFinalFlow[t][pW][eW][nua])
+ {
+ cout<<"WARNING: diffFlowFinalFlow[t][pW][eW][nua] is NULL in AFAWQC::GOH() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ }
+ } // end of for(Int_t nua=0;nua<2;nua++)
+ } // end of for(Int_t eW=0;eW<2;eW++)
+ } // end of for(Int_t pW=0;pW<(1+(Int_t)(bUsePhiWeights||bUsePtWeights||bUseEtaWeights));pW++)
+ } // end of for(Int_t t=0;t<2;t++)
+
+ // x.) nested loops:
+ TList *nestedLoopsList = dynamic_cast<TList*>(outputListHistos->FindObject("Nested Loops"));
+ if(nestedLoopsList) this->SetNestedLoopsList(nestedLoopsList);
+ TProfile *evaluateNestedLoops = dynamic_cast<TProfile*>(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<TProfile*>(nestedLoopsList->FindObject("fDirectCorrelation"));
+ if(directCorrelations) this->SetDirectCorrelations(directCorrelations);
+ TProfile *directCorrectionsCos = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrectionsCos"));
+ if(directCorrectionsCos) this->SetDirectCorrectionsCos(directCorrectionsCos);
+ TProfile *directCorrectionsSin = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrectionsSin"));
+ if(directCorrectionsSin) this->SetDirectCorrectionsSin(directCorrectionsSin);
+ if(bUsePhiWeights||bUsePtWeights||bUseEtaWeights)
+ {
+ TProfile *directCorrelationsW = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrelationW"));
+ if(directCorrelationsW) this->SetDirectCorrelationsW(directCorrelationsW);
+ TProfile *directCorrectionsCosW = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrectionsCosW"));
+ if(directCorrectionsCosW) this->SetDirectCorrectionsCosW(directCorrectionsCosW);
+ TProfile *directCorrectionsSinW = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrectionsSinW"));
+ if(directCorrectionsSinW) this->SetDirectCorrectionsSinW(directCorrectionsSinW);
+ }
+ }
+
+ if(bEvaluateNestedLoopsForDiffFlow)
+ {
+ TProfile *directCorrelationsDiffFlow = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrelationsDiffFlow"));
+ if(directCorrelationsDiffFlow) this->SetDirectCorrelationsDiffFlow(directCorrelationsDiffFlow);
+ TProfile *directCorrectionsDiffFlowCos = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowCos"));
+ if(directCorrectionsDiffFlowCos) this->SetDirectCorrectionsDiffFlowCos(directCorrectionsDiffFlowCos);
+ TProfile *directCorrectionsDiffFlowSin = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowSin"));
+ if(directCorrectionsDiffFlowSin) this->SetDirectCorrectionsDiffFlowSin(directCorrectionsDiffFlowSin);
+ if(bUsePhiWeights||bUsePtWeights||bUseEtaWeights)
+ {
+ TProfile *directCorrelationsDiffFlowW = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrelationsDiffFlowW"));
+ if(directCorrelationsDiffFlowW) this->SetDirectCorrelationsDiffFlowW(directCorrelationsDiffFlowW);
+ TProfile *directCorrectionsDiffFlowCosW = dynamic_cast<TProfile*>(nestedLoopsList->FindObject("fDirectCorrectionsDiffFlowCosW"));
+ if(directCorrectionsDiffFlowCosW) this->SetDirectCorrectionsDiffFlowCosW(directCorrectionsDiffFlowCosW);
+ TProfile *directCorrectionsDiffFlowSinW = dynamic_cast<TProfile*>(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::CalculateFinalCorrectionsForNonUniformAcceptanceForCumulantsForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+{
+ // calculate final corrections for non-uniform acceptance for QC{2}, QC{4}, QC{6} and QC{8}
+
+ // corrections for non-uniform acceptance (NUA) 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() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"sc = "<<sc<<endl;
+ exit(0);
+ }
+ }
+
+ // measured 2-, 4-, 6- and 8-particle azimuthal correlations (biased with non-uniform acceptance!):
+ Double_t two = fQCorrelations[pW][eW]->GetBinContent(1); // <<2>>
+ //Double_t four = fQCorrelations[pW][eW]->GetBinContent(11); // <<4>>
+ //Double_t six = fQCorrelations[pW][eW]->GetBinContent(24); // <<6>>
+ //Double_t eight = fQCorrelations[pW][eW]->GetBinContent(31); // <<8>>
+
+ // correction terms to QC{2}:
+ // <<cos(n*phi1)>>^2
+ Double_t two1stTerm = pow(fQCorrections[pW][eW][1]->GetBinContent(1),2);
+ // <<sin(n*phi1)>>^2
+ Double_t two2ndTerm = pow(fQCorrections[pW][eW][0]->GetBinContent(1),2);
+ // final corrections for non-uniform acceptance to QC{2}:
+ Double_t correctionQC2 = -1.*two1stTerm-1.*two2ndTerm;
+ fCorrections[pW][eW]->SetBinContent(1,correctionQC2);
+
+ // correction terms to QC{4}:
+ // <<cos(n*phi1)>> <<cos(n*(phi1-phi2-phi3))>>
+ Double_t four1stTerm = fQCorrections[pW][eW][1]->GetBinContent(1)*fQCorrections[pW][eW][1]->GetBinContent(3);
+ // <<sin(n*phi1)>> <<sin(n*(phi1-phi2-phi3))>>
+ Double_t four2ndTerm = fQCorrections[pW][eW][0]->GetBinContent(1)*fQCorrections[pW][eW][0]->GetBinContent(3);
+ // <<cos(n*(phi1+phi2))>>^2
+ Double_t four3rdTerm = pow(fQCorrections[pW][eW][1]->GetBinContent(2),2);
+ // <<sin(n*(phi1+phi2))>>^2
+ Double_t four4thTerm = pow(fQCorrections[pW][eW][0]->GetBinContent(2),2);
+ // <<cos(n*(phi1+phi2))>> (<<cos(n*phi1)>>^2 - <<sin(n*phi1)>>^2)
+ Double_t four5thTerm = fQCorrections[pW][eW][1]->GetBinContent(2)
+ * (pow(fQCorrections[pW][eW][1]->GetBinContent(1),2)-pow(fQCorrections[pW][eW][0]->GetBinContent(1),2));
+ // <<sin(n*(phi1+phi2))>> <<cos(n*phi1)>> <<sin(n*phi1)>>
+ Double_t four6thTerm = fQCorrections[pW][eW][0]->GetBinContent(2)
+ * fQCorrections[pW][eW][1]->GetBinContent(1)
+ * fQCorrections[pW][eW][0]->GetBinContent(1);
+ // <<cos(n*(phi1-phi2))>> (<<cos(n*phi1)>>^2 + <<sin(n*phi1)>>^2)
+ Double_t four7thTerm = two*(pow(fQCorrections[pW][eW][1]->GetBinContent(1),2)+pow(fQCorrections[pW][eW][0]->GetBinContent(1),2));
+ // (<<cos(n*phi1)>>^2 + <<sin(n*phi1)>>^2)^2
+ Double_t four8thTerm = pow(pow(fQCorrections[pW][eW][1]->GetBinContent(1),2)+pow(fQCorrections[pW][eW][0]->GetBinContent(1),2),2);
+ // final correction to QC{4}:
+ Double_t correctionQC4 = -4.*four1stTerm+4.*four2ndTerm-four3rdTerm-four4thTerm
+ + 4.*four5thTerm+8.*four6thTerm+8.*four7thTerm-6.*four8thTerm;
+ fCorrections[pW][eW]->SetBinContent(2,correctionQC4);
+
+ // ... to be improved (continued for 6th and 8th order)
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateFinalCorrectionsForNonUniformAcceptanceForCumulantsForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+
+
+//================================================================================================================================
+
+
+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: <<cos(n*psi)>><<cos(n*phi)>>:
+ 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() !!!! "<<endl;
+ cout<<" Corrections for non-uniform acceptance for differential flow are not correct."<<endl;
+ }
+
+ // 2nd term: <<sin(n*psi)>><<sin(n*phi)>>:
+ 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() !!!! "<<endl;
+ cout<<" Corrections for non-uniform acceptance for differential flow are not correct."<<endl;
+ }
+ } else if(type == "RP")
+ {
+ // **** corrections for non-uniform acceptance for 2nd order QC' for RP's ****
+
+ // 1st term: <<cos(n*psi)>><<cos(n*phi)>>:
+ 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() !!!! "<<endl;
+ cout<<" Corrections for non-uniform acceptance for differential flow are not correct."<<endl;
+ }
+ // 2nd term: <<sin(n*psi)>><<sin(n*phi)>>:
+ 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() !!!! "<<endl;
+ cout<<" Corrections for non-uniform acceptance for differential flow are not correct."<<endl;
+ }
+ } else // to else if(type == "RP")
+ {
+ cout<<"WARNING: Type must be either POI or RP in QC::CFCFNUAFDF() !!!! "<<endl;
+ cout<<" Corrections for non-uniform acceptance for differential flow were not calculated."<<endl;
+ }
+ } else // to if(!(useParticleWeights))
+ {
+ // ...
+ }
+ */
+} // end of AliFlowAnalysisWithQCumulants::CalculateFinalCorrectionsForNonUniformAcceptanceForDifferentialFlow(Bool_t useParticleWeights,TString type)
+
+
+//==================================================================================================================================
+
+/*
+void AliFlowAnalysisWithQCumulants::CalculateFinalResultsForDifferentialFlow(
+ TH2D *flowPtEta, TH1D *flowPt, TH1D *flowEta,
+ TProfile2D *profile2ndPtEta, TProfile2D *profile4thPtEta,
+ TProfile2D *profile6thPtEta, TProfile2D *profile8thPtEta)
+{
+ // calculate and store the final results for integrated flow
+
+ TString *namePtEta = new TString();
+ TString *type = new TString();
+ TString *order2nd = new TString();
+ TString *order4th = new TString();
+ TString *order6th = new TString();
+ TString *order8th = new TString();
+ TString *pW = new TString();
+
+ if(profile2ndPtEta) *namePtEta = profile2ndPtEta->GetName();
+ if(namePtEta->Contains("POI")) *type = "POI";
+ if(namePtEta->Contains("RP")) *type = "RP";
+ if(namePtEta->Contains("W")) *pW = "W";
+ if(namePtEta->Contains("2")) *order2nd = "2";
+ if(profile4thPtEta) *namePtEta = profile4thPtEta->GetName();
+ if(namePtEta->Contains("4")) *order4th = "4";
+
+ if(profile6thPtEta) *namePtEta = profile6thPtEta->GetName();
+ if(namePtEta->Contains("6")) *order6th = "6";
+
+ if(profile8thPtEta) *namePtEta = profile8thPtEta->GetName();
+ if(namePtEta->Contains("8")) *order8th = "8";
+
+ TProfile *profile2ndPt = NULL;
+ TProfile *profile4thPt = NULL;
+ TProfile *profile6thPt = NULL;
+ TProfile *profile8thPt = NULL;
+
+ TProfile *profile2ndEta = NULL;
+ TProfile *profile4thEta = NULL;
+ TProfile *profile6thEta = NULL;
+ TProfile *profile8thEta = NULL;
+
+ if(*order2nd == "2")
+ {
+ profile2ndPt = new TProfile(*(this->MakePtProjection(profile2ndPtEta)));
+ profile2ndEta = new TProfile(*(this->MakeEtaProjection(profile2ndPtEta)));
+ if(*order4th == "4")
+ {
+ profile4thPt = new TProfile(*(this->MakePtProjection(profile4thPtEta)));
+ profile4thEta = new TProfile(*(this->MakeEtaProjection(profile4thPtEta)));
+ if(*order6th == "6")
+ {
+ profile6thPt = new TProfile(*(this->MakePtProjection(profile6thPtEta)));
+ profile6thEta = new TProfile(*(this->MakeEtaProjection(profile6thPtEta)));
+ if(*order8th == "8")
+ {
+ profile8thPt = new TProfile(*(this->MakePtProjection(profile8thPtEta)));
+ profile8thEta = new TProfile(*(this->MakeEtaProjection(profile8thPtEta)));
+ }
+ }
+ }
+ }
+
+ Int_t nBinsPt = profile2ndPt->GetNbinsX();
+ Int_t nBinsEta = profile2ndEta->GetNbinsX();
+
+ Double_t dV2 = 0.;
+ Double_t dV4 = 0.;
+ Double_t dV6 = 0.;
+ Double_t dV8 = 0.;
+
+ if(!(*pW == "W"))
+ {
+ dV2 = fIntFlowResultsQC->GetBinContent(1);
+ dV4 = fIntFlowResultsQC->GetBinContent(2);
+ dV6 = fIntFlowResultsQC->GetBinContent(3);
+ dV8 = fIntFlowResultsQC->GetBinContent(4);
+ }
+ else if(*pW == "W")
+ {
+ dV2 = fIntFlowResultsQCW->GetBinContent(1);
+ dV4 = fIntFlowResultsQCW->GetBinContent(2);
+ dV6 = fIntFlowResultsQCW->GetBinContent(3);
+ dV8 = fIntFlowResultsQCW->GetBinContent(4);
+ }
+
+ // 3D (pt,eta):
+ Double_t twoPrimePtEta = 0.; // <<2'>> (pt,eta)
+ Double_t fourPrimePtEta = 0.; // <<4'>> (pt,eta)
+ //Double_t sixPrimePtEta = 0.; // <<6'>> (pt,eta)
+ //Double_t eightPrimePtEta = 0.; // <<8'>> (pt,eta)
+ Double_t secondOrderDiffFlowCumulantPtEta = 0.; // d_n{2,Q} (pt,eta)
+ Double_t fourthOrderDiffFlowCumulantPtEta = 0.; // d_n{4,Q} (pt,eta)
+ //Double_t sixthOrderDiffFlowCumulantPtEta = 0.; // d_n{6,Q} (pt,eta)
+ //Double_t eightOrderDiffFlowCumulantPtEta = 0.; // d_n{8,Q} (pt,eta)2nd
+ Double_t dv2PtEta = 0.; // v'_n{2} (pt,eta)
+ Double_t dv4PtEta = 0.; // v'_n{4} (pt,eta)
+ //Double_t dv6PtEta = 0.; // v'_n{6} (pt,eta)
+ //Double_t dv8PtEta = 0.; // v'_n{8} (pt,eta)
+
+ // 2D (pt):
+ Double_t twoPrimePt = 0.; // <<2'>> (pt)
+ Double_t fourPrimePt = 0.; // <<4'>> (pt)
+ //Double_t sixPrimePt = 0.; // <<6'>> (pt)
+ //Double_t eightPrimePt = 0.; // <<8'>> (pt)
+ Double_t secondOrderDiffFlowCumulantPt = 0.; // d_n{2,Q} (pt)
+ Double_t fourthOrderDiffFlowCumulantPt = 0.; // d_n{4,Q} (pt)
+ //Double_t sixthOrderDiffFlowCumulantPt = 0.; // d_n{6,Q} (pt)
+ //Double_t eightOrderDiffFlowCumulantPt = 0.; // d_n{8,Q} (pt)
+ Double_t dv2Pt = 0.; // v'_n{2} (pt)
+ Double_t dv4Pt = 0.; // v'_n{4} (pt)
+ //Double_t dv6Pt = 0.; // v'_n{6} (pt)
+ //Double_t dv8Pt = 0.; // v'_n{8} (pt)
+
+ // 2D (eta):
+ Double_t twoPrimeEta = 0.; // <<2'>> (eta)
+ Double_t fourPrimeEta = 0.; // <<4>> (eta)
+ //Double_t sixPrimeEta = 0.; // <<6>> (eta)
+ //Double_t eightPrimeEta = 0.; // <<8'>> (eta)
+ Double_t secondOrderDiffFlowCumulantEta = 0.; // d_n{2,Q} (eta)
+ Double_t fourthOrderDiffFlowCumulantEta = 0.; // d_n{4,Q} (eta)
+ //Double_t sixthOrderDiffFlowCumulantEta = 0.; // d_n{6,Q} (eta)
+ //Double_t eightOrderDiffFlowCumulantEta = 0.; // d_n{8,Q} (eta)
+ Double_t dv2Eta = 0.; // v'_n{2} (eta)
+ Double_t dv4Eta = 0.; // v'_n{4} (eta)
+ //Double_t dv6Eta = 0.; // v'_n{6} (eta)
+ //Double_t dv8Eta = 0.; // v'_n{8} (eta)
+
+
+ // looping over (pt,eta) bins to calculate v'(pt,eta)
+ for(Int_t p=1;p<nBinsPt+1;p++)
+ {
+ for(Int_t e=1;e<nBinsEta+1;e++)
+ {
+
+ // 2nd order:
+ twoPrimePtEta = profile2ndPtEta->GetBinContent(profile2ndPtEta->GetBin(p,e));
+ secondOrderDiffFlowCumulantPtEta = twoPrimePtEta;
+
+
+ //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+ // to be improved (applying correction for NUA):
+ if(namePtEta->Contains("POI"))
+ {
+ if(f2pFinalCorrectionsForNUAPtEtaPOI) secondOrderDiffFlowCumulantPtEta = twoPrimePtEta
+ - f2pFinalCorrectionsForNUAPtEtaPOI->GetBinContent(f2pFinalCorrectionsForNUAPtEtaPOI->GetBin(p,e)) ;
+ } else if (namePtEta->Contains("RP"))
+ {
+ if(f2pFinalCorrectionsForNUAPtEtaRP) secondOrderDiffFlowCumulantPtEta = twoPrimePtEta
+ - f2pFinalCorrectionsForNUAPtEtaRP->GetBinContent(f2pFinalCorrectionsForNUAPtEtaRP->GetBin(p,e));
+ }
+ //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+
+
+ if(dV2)
+ {
+ dv2PtEta = secondOrderDiffFlowCumulantPtEta/dV2;
+ if(*order2nd == "2")
+ {
+ flowPtEta->SetBinContent(p,e,dv2PtEta);
+ }
+ }
+
+ // 4th order:
+ if(*order4th == "4" || *order6th == "6" || *order8th == "8")
+ {
+ fourPrimePtEta = profile4thPtEta->GetBinContent(profile4thPtEta->GetBin(p,e));
+ fourthOrderDiffFlowCumulantPtEta = fourPrimePtEta - 2.*twoPrimePtEta*pow(dV2,2.); // to be improved (correlations instead of pow(dV2,2.))
+ if(dV4)
+ {
+ dv4PtEta = -fourthOrderDiffFlowCumulantPtEta/pow(dV4,3);
+ if(*order4th == "4")
+ {
+ flowPtEta->SetBinContent(p,e,dv4PtEta);
+ }
+ }
+ }
+
+ } // end of for(Int_t e=1;e<nBinsEta+1;e++)
+ } // end of for(Int_t p=1;p<nBinsPt+1;p++)
+
+
+ // looping over (pt) bins to calcualate v'(pt)
+ for(Int_t p=1;p<nBinsPt+1;p++)
+ {
+
+ // 2nd order:
+ twoPrimePt = profile2ndPt->GetBinContent(p);
+ secondOrderDiffFlowCumulantPt = twoPrimePt;
+
+
+ //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+ // to be improved (applying correction for NUA):
+ if(namePtEta->Contains("POI"))
+ {
+ if(f2pFinalCorrectionsForNUAPtPOI) secondOrderDiffFlowCumulantPt = twoPrimePt
+ - f2pFinalCorrectionsForNUAPtPOI->GetBinContent(p) ;
+ } else if (namePtEta->Contains("RP"))
+ {
+ if(f2pFinalCorrectionsForNUAPtRP) secondOrderDiffFlowCumulantPt = twoPrimePt
+ - f2pFinalCorrectionsForNUAPtRP->GetBinContent(p);
+ }
+ //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+
+
+ if(dV2)
+ {
+ dv2Pt = secondOrderDiffFlowCumulantPt/dV2;
+ if(*order2nd == "2")
+ {
+ flowPt->SetBinContent(p,dv2Pt);
+ }
+
+ // common control histos: (to be improved fill only once. now they are filled first without weights and then with weights):
+ if(namePtEta->Contains("POI") && *order2nd == "2")
+ {
+ fCommonHistsResults2nd->FillDifferentialFlowPtPOI(p,dv2Pt,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+ else if(namePtEta->Contains("RP") && *order2nd == "2")
+ {
+ fCommonHistsResults2nd->FillDifferentialFlowPtRP(p,dv2Pt,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+
+ }
+
+ // 4th order:
+ if(*order4th == "4" || *order6th == "6" || *order8th == "8")
+ {
+ fourPrimePt = profile4thPt->GetBinContent(profile4thPt->GetBin(p));
+ fourthOrderDiffFlowCumulantPt = fourPrimePt - 2.*twoPrimePt*pow(dV2,2.); // to be improved (correlations instead of pow(dV2,2.))
+ if(dV4)
+ {
+ dv4Pt = -fourthOrderDiffFlowCumulantPt/pow(dV4,3);
+ if(*order4th == "4")
+ {
+ flowPt->SetBinContent(p,dv4Pt);
+ }
+
+ // common control histos: (to be improved):
+ if(namePtEta->Contains("POI") && *order4th == "4")
+ {
+ fCommonHistsResults4th->FillDifferentialFlowPtPOI(p,dv4Pt,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+ else if(namePtEta->Contains("RP") && *order4th == "4" )
+ {
+ fCommonHistsResults4th->FillDifferentialFlowPtRP(p,dv4Pt,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+
+ }
+ }
+
+ } // end of for(Int_t p=1;p<nBinsPt+1;p++)
+
+
+ // looping over (eta) bins to calcualate v'(eta)
+ for(Int_t e=1;e<nBinsEta+1;e++)
+ {
+
+ // 2nd order:
+ twoPrimeEta = profile2ndEta->GetBinContent(e);
+ secondOrderDiffFlowCumulantEta = twoPrimeEta;
+
+
+ //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+ // to be improved (applying correction for NUA):
+ if(namePtEta->Contains("POI"))
+ {
+ if(f2pFinalCorrectionsForNUAEtaPOI) secondOrderDiffFlowCumulantEta = twoPrimeEta
+ - f2pFinalCorrectionsForNUAEtaPOI->GetBinContent(e) ;
+ } else if (namePtEta->Contains("RP"))
+ {
+ if(f2pFinalCorrectionsForNUAEtaRP) secondOrderDiffFlowCumulantEta = twoPrimeEta
+ - f2pFinalCorrectionsForNUAEtaRP->GetBinContent(e);
+ }
+ //xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+
+
+ if(dV2)
+ {
+ dv2Eta = secondOrderDiffFlowCumulantEta/dV2;
+ if(*order2nd == "2")
+ {
+ flowEta->SetBinContent(e,dv2Eta);
+ }
+
+ // common control histos: (to be improved):
+ if(namePtEta->Contains("POI") && *order2nd == "2")
+ {
+ fCommonHistsResults2nd->FillDifferentialFlowEtaPOI(e,dv2Eta,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+ else if(namePtEta->Contains("RP") && *order2nd == "2")
+ {
+ fCommonHistsResults2nd->FillDifferentialFlowEtaRP(e,dv2Eta,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+
+
+ }
+
+ // 4th order:
+ if(*order4th == "4" || *order6th == "6" || *order8th == "8")
+ {
+ fourPrimeEta = profile4thEta->GetBinContent(profile4thEta->GetBin(e));
+ fourthOrderDiffFlowCumulantEta = fourPrimeEta - 2.*twoPrimeEta*pow(dV2,2.); // to be improved (correlations instead of pow(dV2,2.))
+ if(dV4)
+ {
+ dv4Eta = -fourthOrderDiffFlowCumulantEta/pow(dV4,3);
+ if(*order4th == "4")
+ {
+ flowEta->SetBinContent(e,dv4Eta);
+ }
+
+ // common control histos: (to be improved):
+ if(namePtEta->Contains("POI") && *order4th == "4")
+ {
+ fCommonHistsResults4th->FillDifferentialFlowEtaPOI(e,dv4Eta,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+ else if(namePtEta->Contains("RP") && *order4th == "4")
+ {
+ fCommonHistsResults4th->FillDifferentialFlowEtaRP(e,dv4Eta,0.); //to be improved (errors && bb or bb+1 ?)
+ }
+
+ }
+ }
+
+ } // end of for(Int_t e=1;e<nBinsEta+1;e++)
+
+ delete namePtEta;
+ delete type;
+ delete order2nd;
+ delete order4th;
+ delete order6th;
+ delete order8th;
+ delete pW;
+ delete profile2ndPt;
+ delete profile4thPt;
+ delete profile6thPt;
+ delete profile8thPt;
+ delete profile2ndEta;
+ delete profile4thEta;
+ delete profile6thEta;
+ delete profile8thEta;
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateFinalResultsForDifferentialFlow(Bool_t useParticleWeights, TString type)
+*/
+
+//================================================================================================================================
+
+
+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"<<endl;
+ cout<<" is NULL in AFAWQC::PFRFIF() !!!!"<<endl;
+ }
+ } else
+ {
+ cout<<"WARNING: type in not from {NONAME, RP, POI} in AFAWQC::PFRFIF() !!!!"<<endl;
+ exit(0);
+ }
+
+ Double_t dVn[4] = {0.}; // array to hold Vn{2}, Vn{4}, Vn{6} and Vn{8}
+ Double_t dVnErr[4] = {0.}; // array to hold errors of Vn{2}, Vn{4}, Vn{6} and Vn{8}
+
+ if(type == "NONAME")
+ {
+ dVn[0] = (fCommonHistsResults2nd->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<<endl;
+ cout<<"*************************************"<<endl;
+ cout<<"*************************************"<<endl;
+ cout<<title.Data()<<endl;
+ cout<<subtitle.Data()<<endl;
+ cout<<endl;
+
+ for(Int_t i=0;i<4;i++)
+ {
+ if(dVn[i]>=0.)
+ {
+ cout<<" v_"<<n<<"{"<<2*(i+1)<<"} = "<<dVn[i]<<" +/- "<<dVnErr[i]<<endl;
+ }
+ else
+ {
+ cout<<" v_"<<n<<"{"<<2*(i+1)<<"} = Im"<<endl;
+ }
+ }
+
+ cout<<endl;
+ /*
+ if(type == "NONAME")
+ {
+ cout<<" nEvts = "<<nEvtsNoName<<", AvM = "<<dMultNoName<<endl; // to be improved
+ }
+ else if (type == "RP")
+ {
+ cout<<" nEvts = "<<nEvtsRP<<", AvM = "<<dMultRP<<endl; // to be improved
+ }
+ else if (type == "POI")
+ {
+ cout<<" nEvts = "<<nEvtsPOI<<", AvM = "<<dMultPOI<<endl; // to be improved
+ }
+ */
+ cout<<"*************************************"<<endl;
+ cout<<"*************************************"<<endl;
+ cout<<endl;
+
+}// end of AliFlowAnalysisWithQCumulants::PrintFinalResultsForIntegratedFlow(TString type="NONAME");
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CompareResultsFromNestedLoopsAndFromQVectorsForDiffFlow(Bool_t useParticleWeights)
+{
+ // compare correlations needed for diff. flow calculated with nested loops and those calculated from Q-vectors
+
+ cout<<endl;
+ cout<<" *************************************"<<endl;
+ cout<<" **** cross-checking the formulas ****"<<endl;
+ cout<<" **** for differential flow ****"<<endl;
+ cout<<" **** ****"<<endl;
+ cout<<" **** (pt,eta) bin: ****"<<endl;
+ cout<<" **** 1.1 < pt < 1.2 GeV ****"<<endl;
+ cout<<" **** -0.55 < eta < -0.525 ****"<<endl;
+ cout<<" *************************************"<<endl;
+ cout<<endl;
+
+ if(!useParticleWeights)
+ {
+ cout<<"<cos(n(psi1-phi2))> from Q-vectors = "<<fCorrelationsPro[0][0][0][0]->GetBinContent(fCorrelationsPro[0][0][0][0]->GetBin(12,19))<<endl;
+ cout<<"<cos(n(psi1-phi2))> from nested loops = "<<fDirectCorrelationsDiffFlow->GetBinContent(1)<<endl;
+ cout<<endl;
+ cout<<"<cos(n(psi1+phi2-phi3-phi4))> from Q-vectors = "<<fCorrelationsPro[0][0][0][1]->GetBinContent(fCorrelationsPro[0][0][0][1]->GetBin(12,19))<<endl;
+ cout<<"<cos(n(psi1+phi2-phi3-phi4))> from nested loops = "<<fDirectCorrelationsDiffFlow->GetBinContent(41)<<endl;
+ cout<<endl;
+ cout<<"****************************************************"<<endl;
+ cout<<"****************************************************"<<endl;
+ cout<<endl;
+ /*
+ cout<<"<cos(n(psi1))> from Q-vectors = "<<fCorrectionsCosP1nPsiPtEtaPOI->GetBinContent(fCorrectionsCosP1nPsiPtEtaPOI->GetBin(12,19))<<endl;
+ cout<<"<cos(n(psi1))> from nested loops = "<<fDirectCorrectionsDiffFlowCos->GetBinContent(1)<<endl;
+ cout<<endl;
+ cout<<"<sin(n(psi1))> from Q-vectors = "<<fCorrectionsSinP1nPsiPtEtaPOI->GetBinContent(fCorrectionsSinP1nPsiPtEtaPOI->GetBin(12,19))<<endl;
+ cout<<"<sin(n(psi1))> from nested loops = "<<fDirectCorrectionsDiffFlowSin->GetBinContent(1)<<endl;
+ cout<<endl;
+ */
+ }
+
+ if(useParticleWeights)
+ {
+ cout<<"<w2 cos(n(psi1-phi2))> from Q-vectors (RP) = "<<fCorrelationsPro[0][1][0][0]->GetBinContent(fCorrelationsPro[0][1][0][0]->GetBin(12,19))<<endl;
+ cout<<"<w2 cos(n(psi1-phi2))> from Q-vectors (POI) = "<<fCorrelationsPro[1][1][0][0]->GetBinContent(fCorrelationsPro[1][1][0][0]->GetBin(12,19))<<endl;
+ cout<<"<w2 cos(n(psi1-phi2))> from nested loops = "<<fDirectCorrelationsDiffFlowW->GetBinContent(1)<<endl;
+ cout<<endl;
+ cout<<"<w2 w3 w4 cos(n(psi1+phi2-phi3-phi4))> from Q-vectors (RP) = "<<fCorrelationsPro[0][1][0][1]->GetBinContent(fCorrelationsPro[0][1][0][1]->GetBin(12,19))<<endl;
+ cout<<"<w2 w3 w4 cos(n(psi1+phi2-phi3-phi4))> from Q-vectors (POI) = "<<fCorrelationsPro[1][1][0][1]->GetBinContent(fCorrelationsPro[1][1][0][1]->GetBin(12,19))<<endl;
+ cout<<"<w2 w3 w4 cos(n(psi1+phi2-phi3-phi4))> from nested loops = "<<fDirectCorrelationsDiffFlowW->GetBinContent(41)<<endl;
+ cout<<endl;
+ }
+
+} // end of void AliFlowAnalysisWithQCumulants::CompareResultsFromNestedLoopsAndFromQVectorsForDiffFlow()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::WriteHistograms(TString outputFileName)
+{
+ //store the final results in output .root file
+ TFile *output = new TFile(outputFileName.Data(),"RECREATE");
+ //output->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
+
+ // common control histogram (ALL events)
+ fCommonHists = new AliFlowCommonHist("AliFlowCommonHistQC");
+ fHistList->Add(fCommonHists);
+
+ // common control histogram (for events with 2 and more particles)
+ fCommonHists2nd = new AliFlowCommonHist("AliFlowCommonHist2ndOrderQC");
+ fHistList->Add(fCommonHists2nd);
+
+ // common control histogram (for events with 4 and more particles)
+ fCommonHists4th = new AliFlowCommonHist("AliFlowCommonHist4thOrderQC");
+ fHistList->Add(fCommonHists4th);
+
+ // common control histogram (for events with 6 and more particles)
+ fCommonHists6th = new AliFlowCommonHist("AliFlowCommonHist6thOrderQC");
+ fHistList->Add(fCommonHists6th);
+
+ // common control histogram (for events with 8 and more particles)
+ fCommonHists8th = new AliFlowCommonHist("AliFlowCommonHist8thOrderQC");
+ fHistList->Add(fCommonHists8th);
+
+ // common histograms for final results (calculated for events with 2 and more particles)
+ fCommonHistsResults2nd = new AliFlowCommonHistResults("AliFlowCommonHistResults2ndOrderQC");
+ fHistList->Add(fCommonHistsResults2nd);
+
+ // common histograms for final results (calculated for events with 4 and more particles)
+ fCommonHistsResults4th = new AliFlowCommonHistResults("AliFlowCommonHistResults4thOrderQC");
+ fHistList->Add(fCommonHistsResults4th);
+
+ // common histograms for final results (calculated for events with 6 and more particles)
+ fCommonHistsResults6th = new AliFlowCommonHistResults("AliFlowCommonHistResults6thOrderQC");
+ fHistList->Add(fCommonHistsResults6th);
+
+ // common histograms for final results (calculated for events with 8 and more particles)
+ fCommonHistsResults8th = new AliFlowCommonHistResults("AliFlowCommonHistResults8thOrderQC");
+ 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() !!!!"<<endl;
+ exit(0);
+ }
+
+ fUseParticleWeights = new TProfile("fUseParticleWeights","1 = weight used, 0 = weight not 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<TH1F*>(fWeightsList->FindObject("phi_weights"));
+ if(fPhiWeights->GetBinWidth(1) != fPhiBinWidth)
+ {
+ cout<<"WARNING: fPhiWeights->GetBinWidth(1) != fPhiBinWidth in AFAWQC::BAFWH() !!!! "<<endl;
+ cout<<" This indicates inconsistent binning in phi histograms throughout the code."<<endl;
+ exit(0);
+ }
+ } else
+ {
+ cout<<"WARNING: fWeightsList->FindObject(\"phi_weights\") is NULL in AFAWQC::BAFWH() !!!!"<<endl;
+ exit(0);
+ }
+ } // end of if(fUsePhiWeights)
+
+ if(fUsePtWeights)
+ {
+ if(fWeightsList->FindObject("pt_weights"))
+ {
+ fPtWeights = dynamic_cast<TH1D*>(fWeightsList->FindObject("pt_weights"));
+ if(fPtWeights->GetBinWidth(1) != fPtBinWidth)
+ {
+ cout<<"WARNING: fPtWeights->GetBinWidth(1) != fPtBinWidth in AFAWQC::BAFWH() !!!! "<<endl;
+ cout<<" This indicates insconsistent binning in pt histograms throughout the code."<<endl;
+ exit(0);
+ }
+ } else
+ {
+ cout<<"WARNING: fWeightsList->FindObject(\"pt_weights\") is NULL in AFAWQC::BAFWH() !!!!"<<endl;
+ exit(0);
+ }
+ } // end of if(fUsePtWeights)
+
+ if(fUseEtaWeights)
+ {
+ if(fWeightsList->FindObject("eta_weights"))
+ {
+ fEtaWeights = dynamic_cast<TH1D*>(fWeightsList->FindObject("eta_weights"));
+ if(fEtaWeights->GetBinWidth(1) != fEtaBinWidth)
+ {
+ cout<<"WARNING: fEtaWeights->GetBinWidth(1) != fEtaBinWidth in AFAWQC::BAFWH() !!!! "<<endl;
+ cout<<" This indicates insconsistent binning in eta histograms throughout the code."<<endl;
+ exit(0);
+ }
+ } else
+ {
+ cout<<"WARNING: fUseEtaWeights && fWeightsList->FindObject(\"eta_weights\") is NULL in AFAWQC::BAFWH() !!!!"<<endl;
+ exit(0);
+ }
+ } // end of if(fUseEtaWeights)
+
+} // end of AliFlowAnalysisWithQCumulants::BookAndFillWeightsHistograms()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::BookEverythingForIntegratedFlow()
+{
+ // book all objects for integrated flow
+
+ // a) common;
+ // b) profiles;
+ // c) results;
+
+ // ****************
+ // **** COMMON ****
+ // ****************
+
+ // 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);
+
+ // profile to hold average multiplicities and number of events for events with nRP>=0, nRP>=1, ... , and nRP>=8
+ fAvMultiplicity = new TProfile("fAvMultiplicity","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);
+
+ TString pWeightsFlag[2] = {"pWeights not used","pWeights used"};
+ TString eWeightsFlag[2] = {"exact eWeights","non-exact eWeights"};
+ TString nuaFlag[2] = {"not corrected","corrected"};
+ TString sinCosFlag[2] = {"sin","cos"};
+ TString powerFlag[2] = {"linear","quadratic"};
+
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++)
+ {
+ // ***************
+ // **** E-B-E ****
+ // ***************
+
+ // average multiparticle correlations for single event calculated from Q-vectors
+ // (Remark: binning is organized in the same way as in fQCorrelations[pW][eW] bellow):
+ fQCorrelationsEBE[pW] = new TH1D(Form("fQCorrelationsEBE: %s",pWeightsFlag[pW].Data()),Form("Average multi-particle correlations for single event calculated from Q-vectors (%s)",pWeightsFlag[pW].Data()),32,0,32);
+
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ // correction terms for non-uniform acceptance for single event calculated from Q-vectors
+ // (Remark: binning is organized in the same way as in fQCorrections[pW][sc]):
+ fQCorrectionsEBE[pW][sc] = new TH1D(Form("fQCorrectionsEBE: %s, %s terms",pWeightsFlag[pW].Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance for single event (%s, %s terms)",pWeightsFlag[pW].Data(),sinCosFlag[sc].Data()),10,0,10);
+ }
+
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // ******************
+ // **** PROFILES ****
+ // ******************
+
+ // final average multiparticle correlations for all events calculated from Q-vectors:
+ fQCorrelations[pW][eW] = new TProfile(Form("fQCorrelations: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),Form("Final average multi-particle correlations calculated from Q-vectors (%s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),32,0,32,"s");
+ fQCorrelations[pW][eW]->SetTickLength(-0.01,"Y");
+ fQCorrelations[pW][eW]->SetMarkerStyle(25);
+ fQCorrelations[pW][eW]->SetLabelSize(0.03);
+ fQCorrelations[pW][eW]->SetLabelOffset(0.01,"Y");
+ // 2-p correlations:
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}");
+ // 3-p correlations:
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}");
+ // 4-p correlations:
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(13,"<<4>>_{2n,2n|2n,2n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(14,"<<4>>_{3n|n,n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|3n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(16,"<<4>>_{3n,n|2n,2n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(17,"<<4>>_{4n|2n,n,n}");
+ // 5-p correlations:
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(19,"<<5>>_{2n|n,n,n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(20,"<<5>>_{2n,2n|2n,n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(21,"<<5>>_{3n,n|2n,n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(22,"<<5>>_{4n|n,n,n,n}");
+ // 6-p correlations:
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(24,"<<6>>_{n,n,n|n,n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(25,"<<6>>_{2n,n,n|2n,n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(26,"<<6>>_{2n,2n|n,n,n,n}");
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(27,"<<6>>_{3n,n|n,n,n,n}");
+ // 7-p correlations:
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(29,"<<7>>_{2n,n,n|n,n,n,n}");
+ // 8-p correlations:
+ (fQCorrelations[pW][eW]->GetXaxis())->SetBinLabel(31,"<<8>>_{n,n,n,n|n,n,n,n}");
+ // add fQCorrelations[0] to the list fIntFlowList:
+ fIntFlowProfiles->Add(fQCorrelations[pW][eW]);
+
+ // averages <<2><4>>, <<2><6>>, <<4><6>>, etc, needed to calculate covariances:
+ fQProducts[pW][eW] = new TProfile(Form("fQProducts: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),Form("Averages of products (%s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),6,0,6);
+ fQProducts[pW][eW]->SetTickLength(-0.01,"Y");
+ fQProducts[pW][eW]->SetMarkerStyle(25);
+ fQProducts[pW][eW]->SetLabelSize(0.05);
+ fQProducts[pW][eW]->SetLabelOffset(0.01,"Y");
+ (fQProducts[pW][eW]->GetXaxis())->SetBinLabel(1,"<<2><4>>");
+ (fQProducts[pW][eW]->GetXaxis())->SetBinLabel(2,"<<2><6>>");
+ (fQProducts[pW][eW]->GetXaxis())->SetBinLabel(3,"<<2><8>>");
+ (fQProducts[pW][eW]->GetXaxis())->SetBinLabel(4,"<<4><6>>");
+ (fQProducts[pW][eW]->GetXaxis())->SetBinLabel(5,"<<4><8>>");
+ (fQProducts[pW][eW]->GetXaxis())->SetBinLabel(6,"<<6><8>>");
+ fIntFlowProfiles->Add(fQProducts[pW][eW]);
+
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ // final average correction terms for non-uniform acceptance calculated from Q-vectors:
+ fQCorrections[pW][eW][sc] = new TProfile(Form("fQCorrections: %s, %s, %s terms",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),sinCosFlag[sc].Data()),Form("Correction terms for non-uniform acceptance (%s, %s, %s terms)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),sinCosFlag[sc].Data()),10,0,10,"s");
+ fQCorrections[pW][eW][sc]->SetTickLength(-0.01,"Y");
+ fQCorrections[pW][eW][sc]->SetMarkerStyle(25);
+ fQCorrections[pW][eW][sc]->SetLabelSize(0.03);
+ fQCorrections[pW][eW][sc]->SetLabelOffset(0.01,"Y");
+ // .........................................................................
+ // 1-p terms:
+ (fQCorrections[pW][eW][sc]->GetXaxis())->SetBinLabel(1,Form("%s(n(#phi_{1}))>",sinCosFlag[sc].Data()));
+ // 2-p terms:
+ // 3-p terms:
+ // ...
+ // .........................................................................
+ // add fQCorrectionsCos to the list fIntFlowList:
+ fIntFlowProfiles->Add(fQCorrections[pW][eW][sc]);
+ } // end of for(Int_t sc=0;sc<2;sc++)
+
+ // *****************
+ // **** RESULTS ****
+ // *****************
+
+ // final results for average multi-particle correlations with correct statistical errors:
+ fCorrelations[pW][eW] = new TH1D(Form("fCorrelations: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),Form("Average multi-particle correlations (%s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),32,0,32);
+ fCorrelations[pW][eW]->SetTickLength(-0.01,"Y");
+ fCorrelations[pW][eW]->SetMarkerStyle(25);
+ fCorrelations[pW][eW]->SetLabelSize(0.03);
+ fCorrelations[pW][eW]->SetLabelOffset(0.01,"Y");
+ // 2-p correlations:
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}");
+ // 3-p correlations:
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}");
+ // 4-p correlations:
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(13,"<<4>>_{2n,2n|2n,2n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(14,"<<4>>_{3n|n,n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|3n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(16,"<<4>>_{3n,n|2n,2n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(17,"<<4>>_{4n|2n,n,n}");
+ // 5-p correlations:
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(19,"<<5>>_{2n|n,n,n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(20,"<<5>>_{2n,2n|2n,n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(21,"<<5>>_{3n,n|2n,n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(22,"<<5>>_{4n|n,n,n,n}");
+ // 6-p correlations:
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(24,"<<6>>_{n,n,n|n,n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(25,"<<6>>_{2n,n,n|2n,n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(26,"<<6>>_{2n,2n|n,n,n,n}");
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(27,"<<6>>_{3n,n|n,n,n,n}");
+ // 7-p correlations:
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(29,"<<7>>_{2n,n,n|n,n,n,n}");
+ // 8-p correlations:
+ (fCorrelations[pW][eW]->GetXaxis())->SetBinLabel(31,"<<8>>_{n,n,n,n|n,n,n,n}");
+ // add fCorrelations to the list fIntFlowList:
+ fIntFlowResults->Add(fCorrelations[pW][eW]);
+
+ // final corrections for non-uniform acceptance for QC{2}, QC{4}, QC{6} and QC{8}:
+ fCorrections[pW][eW] = new TH1D(Form("fCorrections: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),Form("Corrections for non-uniform acceptance for Q-cumulants (%s, %s)",eWeightsFlag[eW].Data()),4,0,4);
+ fCorrections[pW][eW]->SetLabelSize(0.05);
+ fCorrections[pW][eW]->SetMarkerStyle(25);
+ (fCorrections[pW][eW]->GetXaxis())->SetBinLabel(1,"corr. for QC{2}");
+ (fCorrections[pW][eW]->GetXaxis())->SetBinLabel(2,"corr. for QC{4}");
+ (fCorrections[pW][eW]->GetXaxis())->SetBinLabel(3,"corr. for QC{6}");
+ (fCorrections[pW][eW]->GetXaxis())->SetBinLabel(4,"corr. for QC{8}");
+ // add fCorrections[pW] to list fIntFlowResults:
+ fIntFlowResults->Add(fCorrections[pW][eW]);
+
+ // final results for covariances:
+ fCovariances[pW][eW] = new TH1D(Form("fCovariances: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),Form("Covariances (%s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),6,0,6);
+ fCovariances[pW][eW]->SetLabelSize(0.05);
+ fCovariances[pW][eW]->SetMarkerStyle(25);
+ (fCovariances[pW][eW]->GetXaxis())->SetBinLabel(1,"Cov(2,4)");
+ (fCovariances[pW][eW]->GetXaxis())->SetBinLabel(2,"Cov(2,6)");
+ (fCovariances[pW][eW]->GetXaxis())->SetBinLabel(3,"Cov(2,8)");
+ (fCovariances[pW][eW]->GetXaxis())->SetBinLabel(4,"Cov(4,6)");
+ (fCovariances[pW][eW]->GetXaxis())->SetBinLabel(5,"Cov(4,8)");
+ (fCovariances[pW][eW]->GetXaxis())->SetBinLabel(6,"Cov(6,8)");
+ // add fCovariances[pW][eW] to list fIntFlowResults:
+ fIntFlowResults->Add(fCovariances[pW][eW]);
+
+ // final results for sum of event weights:
+ for(Int_t power=0;power<2;power++)
+ {
+ fSumOfEventWeights[pW][eW][power] = new TH1D(Form("fSumOfEventWeights: %s, %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),powerFlag[power].Data()),Form("SumOfEventWeights (%s, %s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),powerFlag[power].Data()),4,0,4);
+ fSumOfEventWeights[pW][eW][power]->SetLabelSize(0.05);
+ fSumOfEventWeights[pW][eW][power]->SetMarkerStyle(25);
+ (fSumOfEventWeights[pW][eW][power]->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>}");
+ (fSumOfEventWeights[pW][eW][power]->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<4>}");
+ (fSumOfEventWeights[pW][eW][power]->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<6>}");
+ (fSumOfEventWeights[pW][eW][power]->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<8>}");
+ // add fSumOfEventWeights[pW][eW] to list fIntFlowResults:
+ fIntFlowResults->Add(fSumOfEventWeights[pW][eW][power]);
+ }
+
+ // final results for sum of product of event weights:
+ fProductOfEventWeights[pW][eW] = new TH1D(Form("fProductOfEventWeights: %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),Form("ProductOfEventWeights (%s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()),6,0,6);
+ fProductOfEventWeights[pW][eW]->SetLabelSize(0.05);
+ fProductOfEventWeights[pW][eW]->SetMarkerStyle(25);
+ (fProductOfEventWeights[pW][eW]->GetXaxis())->SetBinLabel(1,"#sum_{i=1}^{N} w_{<2>} w_{<4>}");
+ (fProductOfEventWeights[pW][eW]->GetXaxis())->SetBinLabel(2,"#sum_{i=1}^{N} w_{<2>} w_{<6>}");
+ (fProductOfEventWeights[pW][eW]->GetXaxis())->SetBinLabel(3,"#sum_{i=1}^{N} w_{<2>} w_{<8>}");
+ (fProductOfEventWeights[pW][eW]->GetXaxis())->SetBinLabel(4,"#sum_{i=1}^{N} w_{<4>} w_{<6>}");
+ (fProductOfEventWeights[pW][eW]->GetXaxis())->SetBinLabel(5,"#sum_{i=1}^{N} w_{<4>} w_{<8>}");
+ (fProductOfEventWeights[pW][eW]->GetXaxis())->SetBinLabel(6,"#sum_{i=1}^{N} w_{<6>} w_{<8>}");
+ // add fProductOfEventWeights[pW][eW] to list fIntFlowResults:
+ fIntFlowResults->Add(fProductOfEventWeights[pW][eW]);
+
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ // integrated Q-cumulants:
+ fCumulants[pW][eW][nua] = new TH1D(Form("fCumulants: %s, %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()),Form("Q-cumulants (%s, %s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()),4,0,4);
+ fCumulants[pW][eW][nua]->SetLabelSize(0.05);
+ fCumulants[pW][eW][nua]->SetMarkerStyle(25);
+ (fCumulants[pW][eW][nua]->GetXaxis())->SetBinLabel(1,"QC{2}");
+ (fCumulants[pW][eW][nua]->GetXaxis())->SetBinLabel(2,"QC{4}");
+ (fCumulants[pW][eW][nua]->GetXaxis())->SetBinLabel(3,"QC{6}");
+ (fCumulants[pW][eW][nua]->GetXaxis())->SetBinLabel(4,"QC{8}");
+ // add fCumulants[pW][nua] to list fIntFlowResults:
+ fIntFlowResults->Add(fCumulants[pW][eW][nua]);
+
+ // integrated flow from Q-cumulants:
+ fIntFlow[pW][eW][nua] = new TH1D(Form("fIntFlow: %s, %s, %s",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()),Form("Integrated flow from Q-cumulants (%s, %s, %s)",pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()),4,0,4);
+ fIntFlow[pW][eW][nua]->SetLabelSize(0.05);
+ fIntFlow[pW][eW][nua]->SetMarkerStyle(25);
+ (fIntFlow[pW][eW][nua]->GetXaxis())->SetBinLabel(1,"v_{2}{2,QC}");
+ (fIntFlow[pW][eW][nua]->GetXaxis())->SetBinLabel(2,"v_{2}{4,QC}");
+ (fIntFlow[pW][eW][nua]->GetXaxis())->SetBinLabel(3,"v_{2}{6,QC}");
+ (fIntFlow[pW][eW][nua]->GetXaxis())->SetBinLabel(4,"v_{2}{8,QC}");
+ // add fIntFlow[pW][nua] to list fIntFlowResults:
+ fIntFlowResults->Add(fIntFlow[pW][eW][nua]);
+
+ } // end of for(Int_t nua=0;nua<2;nua++)
+ } // end of for(Int_t eW=0;eW<2;eW++)
+ } // end of for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++)
+
+
+
+ /*
+ // 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,"<w_{1}w_{2}cos(n(#phi_{1}-#phi_{2}))>");
+ (fQCorrelations[1]->GetXaxis())->SetBinLabel(2,"<w_{1}^{2}w_{2}^{2}cos(2n(#phi_{1}-#phi_{2}))>");
+ (fQCorrelations[1]->GetXaxis())->SetBinLabel(3,"<w_{1}^{3}w_{2}^{3}cos(3n(#phi_{1}-#phi_{2}))>");
+ (fQCorrelations[1]->GetXaxis())->SetBinLabel(4,"<w_{1}^{4}w_{2}^{4}cos(4n(#phi_{1}-#phi_{2}))>");
+ (fQCorrelations[1]->GetXaxis())->SetBinLabel(5,"<w_{1}^{3}w_{2}cos(n(#phi_{1}-#phi_{2}))>");
+ (fQCorrelations[1]->GetXaxis())->SetBinLabel(6,"<w_{1}^{2}w_{2}w_{3}cos(n(#phi_{1}-#phi_{2}))>");
+ // 3-particle correlations:
+ (fQCorrelations[1]->GetXaxis())->SetBinLabel(21,"<w_{1}w_{2}w_{3}^{2}cos(n(2#phi_{1}-#phi_{2}-#phi_{3}))>");
+ // 4-particle correlations:
+ (fQCorrelations[1]->GetXaxis())->SetBinLabel(41,"<w_{1}w_{2}w_{3}w_{4}cos(n(#phi_{1}+#phi_{2}-#phi_{3}-#phi_{4}))>");
+ // add fQCorrelations[1] to the list fIntFlowList:
+ fIntFlowList->Add(fQCorrelations[1]);
+ */
+
+
+} // end of AliFlowAnalysisWithQCumulants::BookEverythingForIntegratedFlow()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::BookEverythingForNestedLoops()
+{
+ // book all profiles relevant for calculations with nested loops
+
+ fEvaluateNestedLoops = new TProfile("fEvaluateNestedLoops","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);
+ // add fEvaluateNestedLoops to the list fNestedLoopsList:
+ fNestedLoopsList->Add(fEvaluateNestedLoops);
+
+ 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);
+ }
+ }
+
+ 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::CalculateCorrelationsForIntegratedFlow()
+{
+ // 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 = <cos(n*(2.*phi1-phi2-phi3))>
+ // 7th bin: <3>_{3n|2n,1n} = three3n2n1n = <cos(n*(3.*phi1-2.*phi2-phi3))>
+ // 8th bin: <3>_{4n|2n,2n} = three4n2n2n = <cos(n*(4.*phi1-2.*phi2-2.*phi3))>
+ // 9th bin: <3>_{4n|3n,1n} = three4n3n1n = <cos(n*(4.*phi1-3.*phi2-phi3))>
+ // 10th bin: ---- EMPTY ----
+ // 11th bin: <4>_{1n,1n|1n,1n} = four1n1n1n1n = <cos(n*(phi1+phi2-phi3-phi4))>
+ // 12th bin: <4>_{2n,1n|2n,1n} = four2n1n2n1n = <cos(2.*n*(phi1+phi2-phi3-phi4))>
+ // 13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n = <cos(n*(2.*phi1+phi2-2.*phi3-phi4))>
+ // 14th bin: <4>_{3n|1n,1n,1n} = four3n1n1n1n = <cos(n*(3.*phi1-phi2-phi3-phi4))>
+ // 15th bin: <4>_{3n,1n|3n,1n} = four3n1n3n1n = <cos(n*(4.*phi1-2.*phi2-phi3-phi4))>
+ // 16th bin: <4>_{3n,1n|2n,2n} = four3n1n2n2n = <cos(n*(3.*phi1+phi2-2.*phi3-2.*phi4))>
+ // 17th bin: <4>_{4n|2n,1n,1n} = four4n2n1n1n = <cos(n*(3.*phi1+phi2-3.*phi3-phi4))>
+ // 18th bin: ---- EMPTY ----
+ // 19th bin: <5>_{2n|1n,1n,1n,1n} = five2n1n1n1n1n = <cos(n*(2.*phi1+phi2-phi3-phi4-phi5))>
+ // 20th bin: <5>_{2n,2n|2n,1n,1n} = five2n2n2n1n1n = <cos(n*(2.*phi1+2.*phi2-2.*phi3-phi4-phi5))>
+ // 21st bin: <5>_{3n,1n|2n,1n,1n} = five3n1n2n1n1n = <cos(n*(3.*phi1+phi2-2.*phi3-phi4-phi5))>
+ // 22nd bin: <5>_{4n|1n,1n,1n,1n} = five4n1n1n1n1n = <cos(n*(4.*phi1-phi2-phi3-phi4-phi5))>
+ // 23rd bin: ---- EMPTY ----
+ // 24th bin: <6>_{1n,1n,1n|1n,1n,1n} = six1n1n1n1n1n1n = <cos(n*(phi1+phi2+phi3-phi4-phi5-phi6))>
+ // 25th bin: <6>_{2n,1n,1n|2n,1n,1n} = six2n1n1n2n1n1n = <cos(n*(2.*phi1+2.*phi2-phi3-phi4-phi5-phi6))>
+ // 26th bin: <6>_{2n,2n|1n,1n,1n,1n} = six2n2n1n1n1n1n = <cos(n*(3.*phi1+phi2-phi3-phi4-phi5-phi6))>
+ // 27th bin: <6>_{3n,1n|1n,1n,1n,1n} = six3n1n1n1n1n1n = <cos(n*(2.*phi1+phi2+phi3-2.*phi4-phi5-phi6))>
+ // 28th bin: ---- EMPTY ----
+ // 29th bin: <7>_{2n,1n,1n|1n,1n,1n,1n} = seven2n1n1n1n1n1n1n = <cos(n*(2.*phi1+phi2+phi3-phi4-phi5-phi6-phi7))>
+ // 30th bin: ---- EMPTY ----
+ // 31st bin: <8>_{1n,1n,1n,1n|1n,1n,1n,1n} = eight1n1n1n1n1n1n1n1n = <cos(n*(phi1+phi2+phi3+phi4-phi5-phi6-phi7-phi8))>
+ // --------------------------------------------------------------------------------------------------------------------
+
+ // 2-particle:
+ Double_t two1n1n = 0.; // <cos(n*(phi1-phi2))>
+ Double_t two2n2n = 0.; // <cos(2n*(phi1-phi2))>
+ Double_t two3n3n = 0.; // <cos(3n*(phi1-phi2))>
+ Double_t two4n4n = 0.; // <cos(4n*(phi1-phi2))>
+
+ 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 non-weighted 2-particle correlations for single event:
+ fQCorrelationsEBE[0]->SetBinContent(1,two1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(2,two2n2n);
+ fQCorrelationsEBE[0]->SetBinContent(3,two3n3n);
+ fQCorrelationsEBE[0]->SetBinContent(4,two4n4n);
+
+ // final average non-weighted 2-particle correlations for all events:
+ fQCorrelations[0][0]->Fill(0.5,two1n1n,dMult*(dMult-1.));
+ fQCorrelations[0][0]->Fill(1.5,two2n2n,dMult*(dMult-1.));
+ fQCorrelations[0][0]->Fill(2.5,two3n3n,dMult*(dMult-1.));
+ fQCorrelations[0][0]->Fill(3.5,two4n4n,dMult*(dMult-1.));
+
+ // distribution of <cos(n*(phi1-phi2))>:
+ //f2pDistribution->Fill(two1n1n,dMult*(dMult-1.));
+ } // end of if(dMult>1)
+
+ // 3-particle:
+ Double_t three2n1n1n = 0.; // <cos(n*(2.*phi1-phi2-phi3))>
+ Double_t three3n2n1n = 0.; // <cos(n*(3.*phi1-2.*phi2-phi3))>
+ Double_t three4n2n2n = 0.; // <cos(n*(4.*phi1-2.*phi2-2.*phi3))>
+ Double_t three4n3n1n = 0.; // <cos(n*(4.*phi1-3.*phi2-phi3))>
+
+ 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 non-weighted 3-particle correlations for single event:
+ fQCorrelationsEBE[0]->SetBinContent(6,three2n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(7,three3n2n1n);
+ fQCorrelationsEBE[0]->SetBinContent(8,three4n2n2n);
+ fQCorrelationsEBE[0]->SetBinContent(9,three4n3n1n);
+
+ // final average non-weighted 3-particle correlations for all events:
+ fQCorrelations[0][0]->Fill(5.5,three2n1n1n,dMult*(dMult-1.)*(dMult-2.));
+ fQCorrelations[0][0]->Fill(6.5,three3n2n1n,dMult*(dMult-1.)*(dMult-2.));
+ fQCorrelations[0][0]->Fill(7.5,three4n2n2n,dMult*(dMult-1.)*(dMult-2.));
+ fQCorrelations[0][0]->Fill(8.5,three4n3n1n,dMult*(dMult-1.)*(dMult-2.));
+ } // end of if(dMult>2)
+
+ // 4-particle:
+ Double_t four1n1n1n1n = 0.; // <cos(n*(phi1+phi2-phi3-phi4))>
+ Double_t four2n2n2n2n = 0.; // <cos(2.*n*(phi1+phi2-phi3-phi4))>
+ Double_t four2n1n2n1n = 0.; // <cos(n*(2.*phi1+phi2-2.*phi3-phi4))>
+ Double_t four3n1n1n1n = 0.; // <cos(n*(3.*phi1-phi2-phi3-phi4))>
+ Double_t four4n2n1n1n = 0.; // <cos(n*(4.*phi1-2.*phi2-phi3-phi4))>
+ Double_t four3n1n2n2n = 0.; // <cos(n*(3.*phi1+phi2-2.*phi3-2.*phi4))>
+ Double_t four3n1n3n1n = 0.; // <cos(n*(3.*phi1+phi2-3.*phi3-phi4))>
+
+ 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 non-weighted 4-particle correlations for single event:
+ fQCorrelationsEBE[0]->SetBinContent(11,four1n1n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(12,four2n1n2n1n);
+ fQCorrelationsEBE[0]->SetBinContent(13,four2n2n2n2n);
+ fQCorrelationsEBE[0]->SetBinContent(14,four3n1n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(15,four3n1n3n1n);
+ fQCorrelationsEBE[0]->SetBinContent(16,four3n1n2n2n);
+ fQCorrelationsEBE[0]->SetBinContent(17,four4n2n1n1n);
+
+ // final average non-weighted 4-particle correlations for all events:
+ fQCorrelations[0][0]->Fill(10.5,four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+ fQCorrelations[0][0]->Fill(11.5,four2n1n2n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+ fQCorrelations[0][0]->Fill(12.5,four2n2n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+ fQCorrelations[0][0]->Fill(13.5,four3n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+ fQCorrelations[0][0]->Fill(14.5,four3n1n3n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+ fQCorrelations[0][0]->Fill(15.5,four3n1n2n2n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+ fQCorrelations[0][0]->Fill(16.5,four4n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+
+ // distribution of <cos(n*(phi1+phi2-phi3-phi4))>
+ //f4pDistribution->Fill(four1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.));
+
+ } // end of if(dMult>3)
+
+ // 5-particle:
+ Double_t five2n1n1n1n1n = 0.; // <cos(n*(2.*phi1+phi2-phi3-phi4-phi5))>
+ Double_t five2n2n2n1n1n = 0.; // <cos(n*(2.*phi1+2.*phi2-2.*phi3-phi4-phi5))>
+ Double_t five3n1n2n1n1n = 0.; // <cos(n*(3.*phi1+phi2-2.*phi3-phi4-phi5))>
+ Double_t five4n1n1n1n1n = 0.; // <cos(n*(4.*phi1-phi2-phi3-phi4-phi5))>
+
+ 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 non-weighted 5-particle correlations for single event:
+ fQCorrelationsEBE[0]->SetBinContent(19,five2n1n1n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(20,five2n2n2n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(21,five3n1n2n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(22,five4n1n1n1n1n);
+
+ // final average non-weighted 5-particle correlations for all events:
+ fQCorrelations[0][0]->Fill(18.5,five2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
+ fQCorrelations[0][0]->Fill(19.5,five2n2n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
+ fQCorrelations[0][0]->Fill(20.5,five3n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
+ fQCorrelations[0][0]->Fill(21.5,five4n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.));
+ } // end of if(dMult>4)
+
+ // 6-particle:
+ Double_t six1n1n1n1n1n1n = 0.; // <cos(n*(phi1+phi2+phi3-phi4-phi5-phi6))>
+ Double_t six2n2n1n1n1n1n = 0.; // <cos(n*(2.*phi1+2.*phi2-phi3-phi4-phi5-phi6))>
+ Double_t six3n1n1n1n1n1n = 0.; // <cos(n*(3.*phi1+phi2-phi3-phi4-phi5-phi6))>
+ Double_t six2n1n1n2n1n1n = 0.; // <cos(n*(2.*phi1+phi2+phi3-2.*phi4-phi5-phi6))>
+
+ 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 non-weighted 6-particle correlations for single event:
+ fQCorrelationsEBE[0]->SetBinContent(24,six1n1n1n1n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(25,six2n1n1n2n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(26,six2n2n1n1n1n1n);
+ fQCorrelationsEBE[0]->SetBinContent(27,six3n1n1n1n1n1n);
+
+ // final average non-weighted 6-particle correlations for all events:
+ fQCorrelations[0][0]->Fill(23.5,six1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
+ fQCorrelations[0][0]->Fill(24.5,six2n1n1n2n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
+ fQCorrelations[0][0]->Fill(25.5,six2n2n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
+ fQCorrelations[0][0]->Fill(26.5,six3n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.));
+
+ // distribution of <cos(n*(phi1+phi2+phi3-phi4-phi5-phi6))>
+ //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.; // <cos(n*(2.*phi1+phi2+phi3-phi4-phi5-phi6-phi7))>
+
+ 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 non-weighted 7-particle correlations for single event:
+ fQCorrelationsEBE[0]->SetBinContent(29,seven2n1n1n1n1n1n1n);
+
+ // final average non-weighted 7-particle correlations for all events:
+ fQCorrelations[0][0]->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.; // <cos(n*(phi1+phi2+phi3+phi4-phi5-phi6-phi7-phi8))>
+ 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 non-weighted 8-particle correlations for single event:
+ fQCorrelationsEBE[0]->SetBinContent(31,eight1n1n1n1n1n1n1n1n);
+
+ // final average non-weighted 8-particle correlations for all events:
+ fQCorrelations[0][0]->Fill(30.5,eight1n1n1n1n1n1n1n1n,dMult*(dMult-1.)*(dMult-2.)*(dMult-3.)*(dMult-4.)*(dMult-5.)*(dMult-6.)*(dMult-7.));
+
+ // distribution of <cos(n*(phi1+phi2+phi3+phi4-phi5-phi6-phi7-phi8))>
+ //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::CalculateCorrelationsForIntegratedFlow()
+
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+
+
+//================================================================================================================================
+
+
+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 = <cos(n*(2.*phi1-phi2-phi3))>
+ // 7th bin: <3>_{3n|2n,1n} = three3n2n1n = <cos(n*(3.*phi1-2.*phi2-phi3))>
+ // 8th bin: <3>_{4n|2n,2n} = three4n2n2n = <cos(n*(4.*phi1-2.*phi2-2.*phi3))>
+ // 9th bin: <3>_{4n|3n,1n} = three4n3n1n = <cos(n*(4.*phi1-3.*phi2-phi3))>
+ // 10th bin: ---- EMPTY ----
+ // 11th bin: <4>_{1n,1n|1n,1n} = four1n1n1n1n = <cos(n*(phi1+phi2-phi3-phi4))>
+ // 12th bin: <4>_{2n,1n|2n,1n} = four2n1n2n1n = <cos(2.*n*(phi1+phi2-phi3-phi4))>
+ // 13th bin: <4>_{2n,2n|2n,2n} = four2n2n2n2n = <cos(n*(2.*phi1+phi2-2.*phi3-phi4))>
+ // 14th bin: <4>_{3n|1n,1n,1n} = four3n1n1n1n = <cos(n*(3.*phi1-phi2-phi3-phi4))>
+ // 15th bin: <4>_{3n,1n|3n,1n} = four3n1n3n1n = <cos(n*(4.*phi1-2.*phi2-phi3-phi4))>
+ // 16th bin: <4>_{3n,1n|2n,2n} = four3n1n2n2n = <cos(n*(3.*phi1+phi2-2.*phi3-2.*phi4))>
+ // 17th bin: <4>_{4n|2n,1n,1n} = four4n2n1n1n = <cos(n*(3.*phi1+phi2-3.*phi3-phi4))>
+ // 18th bin: ---- EMPTY ----
+ // 19th bin: <5>_{2n|1n,1n,1n,1n} = five2n1n1n1n1n = <cos(n*(2.*phi1+phi2-phi3-phi4-phi5))>
+ // 20th bin: <5>_{2n,2n|2n,1n,1n} = five2n2n2n1n1n = <cos(n*(2.*phi1+2.*phi2-2.*phi3-phi4-phi5))>
+ // 21st bin: <5>_{3n,1n|2n,1n,1n} = five3n1n2n1n1n = <cos(n*(3.*phi1+phi2-2.*phi3-phi4-phi5))>
+ // 22nd bin: <5>_{4n|1n,1n,1n,1n} = five4n1n1n1n1n = <cos(n*(4.*phi1-phi2-phi3-phi4-phi5))>
+ // 23rd bin: ---- EMPTY ----
+ // 24th bin: <6>_{1n,1n,1n|1n,1n,1n} = six1n1n1n1n1n1n = <cos(n*(phi1+phi2+phi3-phi4-phi5-phi6))>
+ // 25th bin: <6>_{2n,1n,1n|2n,1n,1n} = six2n1n1n2n1n1n = <cos(n*(2.*phi1+2.*phi2-phi3-phi4-phi5-phi6))>
+ // 26th bin: <6>_{2n,2n|1n,1n,1n,1n} = six2n2n1n1n1n1n = <cos(n*(3.*phi1+phi2-phi3-phi4-phi5-phi6))>
+ // 27th bin: <6>_{3n,1n|1n,1n,1n,1n} = six3n1n1n1n1n1n = <cos(n*(2.*phi1+phi2+phi3-2.*phi4-phi5-phi6))>
+ // 28th bin: ---- EMPTY ----
+ // 29th bin: <7>_{2n,1n,1n|1n,1n,1n,1n} = seven2n1n1n1n1n1n1n = <cos(n*(2.*phi1+phi2+phi3-phi4-phi5-phi6-phi7))>
+ // 30th bin: ---- EMPTY ----
+ // 31st bin: <8>_{1n,1n,1n,1n|1n,1n,1n,1n} = eight1n1n1n1n1n1n1n1n = <cos(n*(phi1+phi2+phi3+phi4-phi5-phi6-phi7-phi8))>
+
+ // 4.) Binning of fDirectCorrelationsW is organized as follows:
+ // ..............................................................................................
+ // ---- bins 1-20: 2-particle correlations ----
+ // 1st bin: two1n1nW1W1 = <w1 w2 cos(n*(phi1-phi2))>
+ // 2nd bin: two2n2nW2W2 = <w1^2 w2^2 cos(2n*(phi1-phi2))>
+ // 3rd bin: two3n3nW3W3 = <w1^3 w2^3 cos(3n*(phi1-phi2))>
+ // 4th bin: two4n4nW4W4 = <w1^4 w2^4 cos(4n*(phi1-phi2))>
+ // 5th bin: two1n1nW3W1 = <w1^3 w2 cos(n*(phi1-phi2))>
+ // 6th bin: two1n1nW1W1W2 = <w1 w2 w3^2 cos(n*(phi1-phi2))>
+ // ---- bins 21-40: 3-particle correlations ----
+ // 21st bin: three2n1n1nW2W1W1 = <w1^2 w2 w3 cos(n*(2phi1-phi2-phi3))>
+ // ---- bins 41-60: 4-particle correlations ----
+ // 41st bin: four1n1n1n1nW1W1W1W1 = <w1 w2 w3 w4 cos(n*(phi1+phi2-phi3-phi4))>
+ // ---- 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: <<cos(n*(phi1))>> = cosP1n
+ // 2nd bin: <<cos(n*(phi1+phi2))>> = cosP1nP1n
+ // 3rd bin: <<cos(n*(phi1-phi2-phi3))>> = cosP1nM1nM1n
+ // ...
+ // ..............................................................................................
+
+ // 6.) Binning of fDirectCorrectionsSin is organized as follows:
+ // ..............................................................................................
+ // 1st bin: <<sin(n*(phi1))>> = sinP1n
+ // 2nd bin: <<sin(n*(phi1+phi2))>> = sinP1nP1n
+ // 3rd bin: <<sin(n*(phi1-phi2-phi3))>> = 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;i1<nPrim;i1++)
+ {
+ aftsTrack=anEvent->GetTrack(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.); // <cos(n*phi1)>
+ fDirectCorrectionsSin->Fill(0.5,sin(n*phi1),1.); // <sin(n*phi1)>
+ // weighted:
+ // fDirectCorrectionsCosW->Fill(0.5,???,1); // to be improved (continued)
+ // fDirectCorrectionsSinW->Fill(0.5,???,1); // to be improved (continued)
+
+ for(Int_t i2=0;i2<nPrim;i2++)
+ {
+ if(i2==i1)continue;
+ aftsTrack=anEvent->GetTrack(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.); // <cos(n*(phi1-phi2))>
+ fDirectCorrelations->Fill(1.5,cos(2.*n*(phi1-phi2)),1.); // <cos(2n*(phi1-phi2))>
+ fDirectCorrelations->Fill(2.5,cos(3.*n*(phi1-phi2)),1.); // <cos(3n*(phi1-phi2))>
+ fDirectCorrelations->Fill(3.5,cos(4.*n*(phi1-phi2)),1.); // <cos(4n*(phi1-phi2))>
+
+ // weighted correlations:
+ // ................................................................................................................
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(0.5,cos(n*(phi1-phi2)),wPhi1*wPhi2); // <w1 w2 cos( n*(phi1-phi2))>
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(1.5,cos(2.*n*(phi1-phi2)),pow(wPhi1,2)*pow(wPhi2,2)); // <w1^2 w2^2 cos(2n*(phi1-phi2))>
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(2.5,cos(3.*n*(phi1-phi2)),pow(wPhi1,3)*pow(wPhi2,3)); // <w1^3 w2^3 cos(3n*(phi1-phi2))>
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(3.5,cos(4.*n*(phi1-phi2)),pow(wPhi1,4)*pow(wPhi2,4)); // <w1^4 w2^4 cos(4n*(phi1-phi2))>
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(4.5,cos(n*(phi1-phi2)),pow(wPhi1,3)*wPhi2); // <w1^3 w2 cos(n*(phi1-phi2))>
+ // ...
+ // ................................................................................................................
+
+ // non-weighted corrections for non-uniform acceptance (cos terms)
+ // ................................................................................................................
+ fDirectCorrectionsCos->Fill(1.5,cos(n*(phi1+phi2)),1.); // <<cos(n*(phi1+phi2))>>
+ // ...
+ // ................................................................................................................
+
+ // non-weighted corrections for non-uniform acceptance (sin terms)
+ // ................................................................................................................
+ fDirectCorrectionsSin->Fill(1.5,sin(n*(phi1+phi2)),1.); // <<sin(n*(phi1+phi2))>>
+ // ...
+ // ................................................................................................................
+
+ // 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;i2<nPrim;i2++)
+ } // end of for(Int_t i1=0;i1<nPrim;i1++)
+
+ // 3-particle correlations:
+ for(Int_t i1=0;i1<nPrim;i1++)
+ {
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
+ {
+ if(i2==i1)continue;
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
+ {
+ if(i3==i1||i3==i2)continue;
+ aftsTrack=anEvent->GetTrack(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)); // <w1 w2 w3^2 cos(n*(phi1-phi2))>
+ // 3-p:
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(20.,cos(2.*n*phi1-n*(phi2+phi3)),pow(wPhi1,2)*wPhi2*wPhi3); // <w1^2 w2 w3 cos(n*(2phi1-phi2-phi3))>
+ // ...
+ // ..............................................................................................................................
+
+ // non-weighted corrections for non-uniform acceptance (cos terms)
+ // ................................................................................................................
+ fDirectCorrectionsCos->Fill(2.,cos(n*(phi1-phi2-phi3)),1.); // <<cos(n*(phi1-phi2-phi3))>>
+ // ...
+ // ................................................................................................................
+
+ // non-weighted corrections for non-uniform acceptance (sin terms)
+ // ................................................................................................................
+ fDirectCorrectionsSin->Fill(2.,sin(n*(phi1-phi2-phi3)),1.); // <<sin(n*(phi1-phi2-phi3))>>
+ // ...
+ // ................................................................................................................
+
+ // weighted corrections for non-uniform acceptance (cos terms)
+ // ................................................................................................................
+ // ...
+ // ................................................................................................................
+
+ // weighted corrections for non-uniform acceptance (sin terms)
+ // ................................................................................................................
+ // ...
+ // ................................................................................................................
+
+ } // end of for(Int_t i3=0;i3<nPrim;i3++)
+ } // end of for(Int_t i2=0;i2<nPrim;i2++)
+ } // end of for(Int_t i1=0;i1<nPrim;i1++)
+
+ // 4-particle correlations:
+ for(Int_t i1=0;i1<nPrim;i1++)
+ {
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
+ {
+ if(i2==i1)continue;
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
+ {
+ if(i3==i1||i3==i2)continue;
+ aftsTrack=anEvent->GetTrack(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;i4<nPrim;i4++)
+ {
+ if(i4==i1||i4==i2||i4==i3)continue;
+ aftsTrack=anEvent->GetTrack(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<nPrim;i1++)
+ {
+ //cout<<"i1 = "<<i1<<endl;
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
+ {
+ if(i2==i1)continue;
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
+ {
+ if(i3==i1||i3==i2)continue;
+ aftsTrack=anEvent->GetTrack(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;i4<nPrim;i4++)
+ {
+ if(i4==i1||i4==i2||i4==i3)continue;
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi4=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i5=0;i5<nPrim;i5++)
+ {
+ if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
+ aftsTrack=anEvent->GetTrack(i5);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi5=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi5 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi5*fnBinsPhi/TMath::TwoPi())));
+
+ // non-weighted:
+ //------------------------------------------------------------------------------------------------------
+ fDirectCorrelations->Fill(18.,cos(2.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5),1.); //<5>_{2n,n|n,n,n}
+ fDirectCorrelations->Fill(19.,cos(2.*n*phi1+2.*n*phi2-2.*n*phi3-n*phi4-n*phi5),1.); //<5>_{2n,2n|2n,n,n}
+ fDirectCorrelations->Fill(20.,cos(3.*n*phi1+n*phi2-2.*n*phi3-n*phi4-n*phi5),1.); //<5>_{3n,n|2n,n,n}
+ fDirectCorrelations->Fill(21.,cos(4.*n*phi1-n*phi2-n*phi3-n*phi4-n*phi5),1.); //<5>_{4n|n,n,n,n}
+ //------------------------------------------------------------------------------------------------------
+
+ // weighted:
+ //..............................................................................................................
+ // 5-p:
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(60.,cos(2.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5),pow(wPhi1,2)*wPhi2*wPhi3*wPhi4*wPhi5);
+ //..............................................................................................................
+
+ }
+ }
+ }
+ }
+ }
+
+ // 6-particle correlations:
+ for(Int_t i1=0;i1<nPrim;i1++)
+ {
+ //cout<<"i1 = "<<i1<<endl;
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
+ {
+ if(i2==i1)continue;
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
+ {
+ if(i3==i1||i3==i2)continue;
+ aftsTrack=anEvent->GetTrack(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;i4<nPrim;i4++)
+ {
+ if(i4==i1||i4==i2||i4==i3)continue;
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi4=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i5=0;i5<nPrim;i5++)
+ {
+ if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
+ aftsTrack=anEvent->GetTrack(i5);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi5=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi5 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi5*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i6=0;i6<nPrim;i6++)
+ {
+ if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
+ aftsTrack=anEvent->GetTrack(i6);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi6=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi6 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi6*fnBinsPhi/TMath::TwoPi())));
+
+ // non-weighted:
+ //-----------------------------------------------------------------------------------------------------------
+ fDirectCorrelations->Fill(23.,cos(n*phi1+n*phi2+n*phi3-n*phi4-n*phi5-n*phi6),1.); //<6>_{n,n,n|n,n,n}
+ fDirectCorrelations->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}
+ fDirectCorrelations->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}
+ fDirectCorrelations->Fill(26.,cos(3.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5-n*phi6),1.); //<6>_{3n,n|n,n,n,n}
+ //-----------------------------------------------------------------------------------------------------------
+
+ // weighted:
+ //.................................................................................................................
+ // 6-p:
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(80.,cos(n*phi1+n*phi2+n*phi3-n*phi4-n*phi5-n*phi6),wPhi1*wPhi2*wPhi3*wPhi4*wPhi5*wPhi6);
+ //.................................................................................................................
+
+ }
+ }
+ }
+ }
+ }
+ }
+
+ // 7-particle correlations:
+ for(Int_t i1=0;i1<nPrim;i1++)
+ {
+ //cout<<"i1 = "<<i1<<endl;
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
+ {
+ if(i2==i1)continue;
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
+ {
+ if(i3==i1||i3==i2)continue;
+ aftsTrack=anEvent->GetTrack(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;i4<nPrim;i4++)
+ {
+ if(i4==i1||i4==i2||i4==i3)continue;
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi4=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i5=0;i5<nPrim;i5++)
+ {
+ if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
+ aftsTrack=anEvent->GetTrack(i5);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi5=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi5 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi5*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i6=0;i6<nPrim;i6++)
+ {
+ if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
+ aftsTrack=anEvent->GetTrack(i6);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi6=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi6 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi6*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i7=0;i7<nPrim;i7++)
+ {
+ if(i7==i1||i7==i2||i7==i3||i7==i4||i7==i5||i7==i6)continue;
+ aftsTrack=anEvent->GetTrack(i7);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi7=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi7 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi7*fnBinsPhi/TMath::TwoPi())));
+
+ // non-weighted:
+ //---------------------------------------------------------------------------------------------------------------
+ fDirectCorrelations->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}
+ //---------------------------------------------------------------------------------------------------------------
+
+ // weighted:
+ //..........................................................................................................................................
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(100.,cos(2.*n*phi1+n*phi2+n*phi3-n*phi4-n*phi5-n*phi6-n*phi7),
+ pow(wPhi1,2.)*wPhi2*wPhi3*wPhi4*wPhi5*wPhi6*wPhi7);
+ //..........................................................................................................................................
+
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+
+ cout<<endl;
+
+ // 8-particle correlations:
+ for(Int_t i1=0;i1<nPrim;i1++)
+ {
+ cout<<"i1 = "<<i1<<endl;
+ aftsTrack=anEvent->GetTrack(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;i2<nPrim;i2++)
+ {
+ if(i2==i1)continue;
+ aftsTrack=anEvent->GetTrack(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;i3<nPrim;i3++)
+ {
+ if(i3==i1||i3==i2)continue;
+ aftsTrack=anEvent->GetTrack(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;i4<nPrim;i4++)
+ {
+ if(i4==i1||i4==i2||i4==i3)continue;
+ aftsTrack=anEvent->GetTrack(i4);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi4=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi4 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi4*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i5=0;i5<nPrim;i5++)
+ {
+ if(i5==i1||i5==i2||i5==i3||i5==i4)continue;
+ aftsTrack=anEvent->GetTrack(i5);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi5=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi5 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi5*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i6=0;i6<nPrim;i6++)
+ {
+ if(i6==i1||i6==i2||i6==i3||i6==i4||i6==i5)continue;
+ aftsTrack=anEvent->GetTrack(i6);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi6=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi6 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi6*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i7=0;i7<nPrim;i7++)
+ {
+ if(i7==i1||i7==i2||i7==i3||i7==i4||i7==i5||i7==i6)continue;
+ aftsTrack=anEvent->GetTrack(i7);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi7=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi7 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi7*fnBinsPhi/TMath::TwoPi())));
+ for(Int_t i8=0;i8<nPrim;i8++)
+ {
+ if(i8==i1||i8==i2||i8==i3||i8==i4||i8==i5||i8==i6||i8==i7)continue;
+ aftsTrack=anEvent->GetTrack(i8);
+ if(!(aftsTrack->InRPSelection())) continue;
+ phi8=aftsTrack->Phi();
+ if(fUsePhiWeights && fPhiWeights) wPhi8 = fPhiWeights->GetBinContent(1+(Int_t)(TMath::Floor(phi8*fnBinsPhi/TMath::TwoPi())));
+
+ // non-weighted:
+ //--------------------------------------------------------------------------------------------------------------------
+ fDirectCorrelations->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}
+ //--------------------------------------------------------------------------------------------------------------------
+
+ // weighted:
+ //...........................................................................................................................................
+ if(fUsePhiWeights) fDirectCorrelationsW->Fill(120.,cos(n*phi1+n*phi2+n*phi3+n*phi4-n*phi5-n*phi6-n*phi7-n*phi8),
+ wPhi1*wPhi2*wPhi3*wPhi4*wPhi5*wPhi6*wPhi7*wPhi8);
+ //...........................................................................................................................................
+
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+
+} // end of AliFlowAnalysisWithQCumulants::EvaluateNestedLoopsForIntegratedFlow(AliFlowEventSimple* anEvent)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CompareResultsFromNestedLoopsAndFromQVectorsForIntFlow(Bool_t useParticleWeights)
+{
+ // compare results needed for int. flow calculated with nested loops and with those calculated from Q-vectors
+
+ cout<<endl;
+ cout<<endl;
+ cout<<" *************************************"<<endl;
+ cout<<" **** cross-checking the formulas ****"<<endl;
+ cout<<" **** for integrated flow ****"<<endl;
+ cout<<" *************************************"<<endl;
+ cout<<endl;
+ cout<<endl;
+
+ if(!(useParticleWeights))
+ {
+ cout<<" **** results for non-weighted correlations: ****"<<endl;
+ cout<<endl;
+ cout<<"<2>_{1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(1)<<endl;
+ cout<<"<2>_{1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(1)<<endl;
+ cout<<endl;
+ cout<<"<2>_{2n,2n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(2)<<endl;
+ cout<<"<2>_{2n,2n} from nested loops = "<<fDirectCorrelations->GetBinContent(2)<<endl;
+ cout<<endl;
+ cout<<"<2>_{3n,3n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(3)<<endl;
+ cout<<"<2>_{3n,3n} from nested loops = "<<fDirectCorrelations->GetBinContent(3)<<endl;
+ cout<<endl;
+ cout<<"<2>_{4n,4n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(4)<<endl;
+ cout<<"<2>_{4n,4n} from nested loops = "<<fDirectCorrelations->GetBinContent(4)<<endl;
+ cout<<endl;
+ cout<<"<3>_{2n|1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(6)<<endl;
+ cout<<"<3>_{2n|1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(6)<<endl;
+ cout<<endl;
+ cout<<"<3>_{3n|2n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(7)<<endl;
+ cout<<"<3>_{3n|2n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(7)<<endl;
+ cout<<endl;
+ cout<<"<3>_{4n,2n,2n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(8)<<endl;
+ cout<<"<3>_{4n,2n,2n} from nested loops = "<<fDirectCorrelations->GetBinContent(8)<<endl;
+ cout<<endl;
+ cout<<"<3>_{4n,3n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(9)<<endl;
+ cout<<"<3>_{4n,3n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(9)<<endl;
+ cout<<endl;
+ cout<<"<4>_{1n,1n|1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(11)<<endl;
+ cout<<"<4>_{1n,1n|1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(11)<<endl;
+ cout<<endl;
+ cout<<"<4>_{2n,1n|2n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(12)<<endl;
+ cout<<"<4>_{2n,1n|2n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(12)<<endl;
+ cout<<endl;
+ cout<<"<4>_{2n,2n|2n,2n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(13)<<endl;
+ cout<<"<4>_{2n,2n|2n,2n} from nested loops = "<<fDirectCorrelations->GetBinContent(13)<<endl;
+ cout<<endl;
+ cout<<"<4>_{3n|1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(14)<<endl;
+ cout<<"<4>_{3n|1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(14)<<endl;
+ cout<<endl;
+ cout<<"<4>_{3n,1n|3n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(15)<<endl;
+ cout<<"<4>_{3n,1n|3n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(15)<<endl;
+ cout<<endl;
+ cout<<"<4>_{3n,1n|2n,2n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(16)<<endl;
+ cout<<"<4>_{3n,1n|2n,2n} from nested loops = "<<fDirectCorrelations->GetBinContent(16)<<endl;
+ cout<<endl;
+ cout<<"<4>_{4n|2n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(17)<<endl;
+ cout<<"<4>_{4n|2n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(17)<<endl;
+ cout<<endl;
+ cout<<"<5>_{2n,1n|1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(19)<<endl;
+ cout<<"<5>_{2n,1n|1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(19)<<endl;
+ cout<<endl;
+ cout<<"<5>_{2n,2n|2n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(20)<<endl;
+ cout<<"<5>_{2n,2n|2n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(20)<<endl;
+ cout<<endl;
+ cout<<"<5>_{3n,1n|2n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(21)<<endl;
+ cout<<"<5>_{3n,1n|2n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(21)<<endl;
+ cout<<endl;
+ cout<<"<5>_{4n|1n,1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(22)<<endl;
+ cout<<"<5>_{4n|1n,1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(22)<<endl;
+ cout<<endl;
+ cout<<"<6>_{1n,1n,1n|1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(24)<<endl;
+ cout<<"<6>_{1n,1n,1n|1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(24)<<endl;
+ cout<<endl;
+ cout<<"<6>_{2n,1n,1n|2n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(25)<<endl;
+ cout<<"<6>_{2n,1n,1n|2n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(25)<<endl;
+ cout<<endl;
+ cout<<"<6>_{2n,2n|1n,1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(26)<<endl;
+ cout<<"<6>_{2n,2n|1n,1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(26)<<endl;
+ cout<<endl;
+ cout<<"<6>_{3n,1n|1n,1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(27)<<endl;
+ cout<<"<6>_{3n,1n|1n,1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(27)<<endl;
+ cout<<endl;
+ cout<<"<7>_{2n,1n,1n|1n,1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(29)<<endl;
+ cout<<"<7>_{2n,1n,1n|1n,1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(29)<<endl;
+ cout<<endl;
+ cout<<"<8>_{1n,1n,1n,1n|1n,1n,1n,1n} from Q-vectors = "<<fQCorrelations[0][0]->GetBinContent(31)<<endl;
+ cout<<"<8>_{1n,1n,1n,1n|1n,1n,1n,1n} from nested loops = "<<fDirectCorrelations->GetBinContent(31)<<endl;
+ cout<<endl;
+ cout<<endl;
+ cout<<" **** results for non-weighted correction terms: ****"<<endl;
+ cout<<endl;
+ //.........................................................................................
+ cout<<"<cos(n*phi1)> from Q-vectors = "<<fQCorrections[0][0][1]->GetBinContent(1)<<endl;
+ cout<<"<cos(n*phi1)> from nested loops = "<<fDirectCorrectionsCos->GetBinContent(1)<<endl;
+ cout<<endl;
+ cout<<"<sin(n*phi1)> from Q-vectors = "<<fQCorrections[0][0][0]->GetBinContent(1)<<endl;
+ cout<<"<sin(n*phi1)> from nested loops = "<<fDirectCorrectionsSin->GetBinContent(1)<<endl;
+ cout<<endl;
+ cout<<"<cos(n*(phi1+phi2))> from Q-vectors = "<<fQCorrections[0][0][1]->GetBinContent(2)<<endl;
+ cout<<"<cos(n*(phi1+phi2))> from nested loops = "<<fDirectCorrectionsCos->GetBinContent(2)<<endl;
+ cout<<endl;
+ cout<<"<sin(n*(phi1+phi2))> from Q-vectors = "<<fQCorrections[0][0][0]->GetBinContent(2)<<endl;
+ cout<<"<sin(n*(phi1+phi2))> from nested loops = "<<fDirectCorrectionsSin->GetBinContent(2)<<endl;
+ cout<<endl;
+ cout<<"<cos(n*(phi1-phi2-phi3))> from Q-vectors = "<<fQCorrections[0][0][1]->GetBinContent(3)<<endl;
+ cout<<"<cos(n*(phi1-phi2-phi3))> from nested loops = "<<fDirectCorrectionsCos->GetBinContent(3)<<endl;
+ cout<<endl;
+ cout<<"<sin(n*(phi1-phi2-phi3))> from Q-vectors = "<<fQCorrections[0][0][0]->GetBinContent(3)<<endl;
+ cout<<"<sin(n*(phi1-phi2-phi3))> from nested loops = "<<fDirectCorrectionsSin->GetBinContent(3)<<endl;
+ cout<<endl;
+ //.........................................................................................
+ }
+
+ if(useParticleWeights)
+ {
+ cout<<" **** results for weighted correlations: ****"<<endl;
+ cout<<endl;
+ //.........................................................................................
+ cout<<"<w1 w2 cos(n*(phi1-phi2))> from Q-vectors = "<<fQCorrelations[1][0]->GetBinContent(1)<<endl;
+ cout<<"<<w1 w2 cos(n*(phi1-phi2))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(1)<<endl;
+ cout<<endl;
+ cout<<"<w1^2 w2^2 cos(2n*(phi1-phi2))> from Q-vectors = "<<fQCorrelations[1][0]->GetBinContent(2)<<endl;
+ cout<<"<w1^2 w2^2 cos(2n*(phi1-phi2))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(2)<<endl;
+ cout<<endl;
+ cout<<"<w1^3 w2^3 cos(3n*(phi1-phi2))> from Q-vectors = "<<fQCorrelations[1][0]->GetBinContent(3)<<endl;
+ cout<<"<w1^3 w2^3 cos(3n*(phi1-phi2))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(3)<<endl;
+ cout<<endl;
+ cout<<"<w1^4 w2^4 cos(4n*(phi1-phi2))> from Q-vectors = "<<fQCorrelations[1][0]->GetBinContent(4)<<endl;
+ cout<<"<w1^4 w2^4 cos(4n*(phi1-phi2))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(4)<<endl;
+ cout<<endl;
+ /*
+ cout<<"<w1^3 w2 cos(n*(phi1-phi2))> from Q-vectors = "<<fQCorrelationsW->GetBinContent(5)<<endl;
+ cout<<"<w1^3 w2 cos(n*(phi1-phi2))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(5)<<endl;
+ cout<<endl;
+ cout<<"<w1 w2 w3^2 cos(n*(phi1-phi2))> from Q-vectors = "<<fQCorrelationsW->GetBinContent(6)<<endl;
+ cout<<"<w1 w2 w3^2 cos(n*(phi1-phi2))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(6)<<endl;
+ cout<<endl;
+ cout<<"<w1^2 w2 w3 cos(n*(2phi1-phi2-phi3))> from Q-vectors = "<<fQCorrelationsW->GetBinContent(21)<<endl;
+ cout<<"<w1^2 w2 w3 cos(n*(2phi1-phi2-phi3))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(21)<<endl;
+ cout<<endl;
+ */
+ cout<<"<w1 w2 w3 w4 cos(n*(phi1+phi2-phi3-phi4))> from Q-vectors = "<<fQCorrelations[1][0]->GetBinContent(11)<<endl;
+ cout<<"<w1 w2 w3 w4 cos(n*(phi1+phi2-phi3-phi4))> from nested loops = "<<fDirectCorrelationsW->GetBinContent(41)<<endl;
+ cout<<endl;
+ //.........................................................................................
+ //cout<<endl;
+ //cout<<endl;
+ //cout<<" **** results for weighted correction terms: ****"<<endl;
+ //cout<<endl;
+ //.........................................................................................
+ }
+
+} // end of AliFlowAnalysisWithQCumulants::CompareResultsFromNestedLoopsAndFromQVectorsForIntFlow(Bool_t useParticleWeights)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateQProductsForIntFlow()
+{
+ // calculate averages like <<2><4>>, <<2><6>>, <<4><6>>, etc. which are needed to calculate covariances
+
+ // binning of fQProducts 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 twoEBE = 0.; // <2>
+ Double_t fourEBE = 0.; // <4>
+ Double_t sixEBE = 0.; // <6>
+ Double_t eightEBE = 0.; // <8>
+
+ twoEBE = fQCorrelationsEBE[0]->GetBinContent(1);
+ fourEBE = fQCorrelationsEBE[0]->GetBinContent(11);
+ if(dMult>5)
+ {
+ sixEBE = fQCorrelationsEBE[0]->GetBinContent(24);
+ if(dMult>7)
+ {
+ eightEBE = fQCorrelationsEBE[0]->GetBinContent(31);
+ }
+ }
+
+ // <2><4>
+ if(dMult>3)
+ {
+ fQProducts[0][0]->Fill(0.5,twoEBE*fourEBE,dMult*(dMult-1)*dMult*(dMult-1)*(dMult-2)*(dMult-3));
+ }
+
+ // <2><6>
+ if(dMult>5)
+ {
+ fQProducts[0][0]->Fill(1.5,twoEBE*sixEBE,dMult*(dMult-1)*dMult*(dMult-1)*(dMult-2)*(dMult-3)*(dMult-4)*(dMult-5));
+ }
+
+ // <2><8>
+ if(dMult>7)
+ {
+ fQProducts[0][0]->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)
+ {
+ fQProducts[0][0]->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)
+ {
+ fQProducts[0][0]->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)
+ {
+ fQProducts[0][0]->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::CalculateQProductsForIntFlow()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateCovariancesForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+{
+ // calculate covariances Cov(2,4), Cov(2,6), etc (needed to propagate errors for integrated flow)
+
+ // binning of fCovariances[pW] is organized as follows:
+ //
+ // 1st bin: <<2><4>>-<<2>><<4>>
+ // 2nd bin: <<2><6>>-<<2>><<6>>
+ // 3rd bin: <<2><8>>-<<2>><<8>>
+ // 4th bin: <<4><6>>-<<4>><<6>>
+ // 5th bin: <<4><8>>-<<4>><<8>>
+ // 6th bin: <<6><8>>-<<6>><<8>>
+
+ // shortcuts for flags:
+ Int_t pW = (Int_t)(useParticleWeights);
+ Int_t eW = -1;
+
+ if(eventWeights == "exact")
+ {
+ eW = 0;
+ }
+
+ for(Int_t power=0;power<2;power++)
+ {
+ if(!(fQCorrelations[pW][eW] && fQProducts[pW][eW] && fCovariances[pW][eW] && fSumOfEventWeights[pW][eW][power] && fProductOfEventWeights[pW][eW]))
+ {
+ cout<<"WARNING: fQCorrelations[pW][eW] && fQProducts[pW][eW] && fCovariances[pW][eW] && fSumOfEventWeights[pW][eW][power] && fProductOfEventWeights[pW][eW] is NULL in AFAWQC::CCFIF() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"power = "<<power<<endl;
+ exit(0);
+ }
+ }
+
+ // average 2-, 4-, 6- and 8-particle azimuthal correlations for all events:
+ Double_t two = fCorrelations[pW][eW]->GetBinContent(1); // <<2>>
+ Double_t four = fCorrelations[pW][eW]->GetBinContent(11); // <<4>>
+ Double_t six = fCorrelations[pW][eW]->GetBinContent(24); // <<6>>
+ Double_t eight = fCorrelations[pW][eW]->GetBinContent(31); // <<8>>
+ // average products of 2-, 4-, 6- and 8-particle azimuthal correlations:
+ Double_t product24 = fQProducts[pW][eW]->GetBinContent(1); // <<2><4>>
+ Double_t product26 = fQProducts[pW][eW]->GetBinContent(2); // <<2><6>>
+ Double_t product28 = fQProducts[pW][eW]->GetBinContent(3); // <<2><8>>
+ Double_t product46 = fQProducts[pW][eW]->GetBinContent(4); // <<4><6>>
+ Double_t product48 = fQProducts[pW][eW]->GetBinContent(5); // <<4><8>>
+ Double_t product68 = fQProducts[pW][eW]->GetBinContent(6); // <<6><8>>
+ // denominator in the expression for the unbiased estimator for covariance:
+ Double_t denom24 = 0.;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(1) && fSumOfEventWeights[pW][eW][0]->GetBinContent(2))
+ {
+ denom24 = 1-(fProductOfEventWeights[pW][eW]->GetBinContent(1))/
+ (fSumOfEventWeights[pW][eW][0]->GetBinContent(1) * fSumOfEventWeights[pW][eW][0]->GetBinContent(2));
+ }
+ Double_t denom26 = 0.;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(1) && fSumOfEventWeights[pW][eW][0]->GetBinContent(3))
+ {
+ denom26 = 1-(fProductOfEventWeights[pW][eW]->GetBinContent(2))/
+ (fSumOfEventWeights[pW][eW][0]->GetBinContent(1) * fSumOfEventWeights[pW][eW][0]->GetBinContent(3));
+ }
+ Double_t denom28 = 0.;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(1) && fSumOfEventWeights[pW][eW][0]->GetBinContent(4))
+ {
+ denom28 = 1-(fProductOfEventWeights[pW][eW]->GetBinContent(3))/
+ (fSumOfEventWeights[pW][eW][0]->GetBinContent(1) * fSumOfEventWeights[pW][eW][0]->GetBinContent(4));
+ }
+ Double_t denom46 = 0.;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(2) && fSumOfEventWeights[pW][eW][0]->GetBinContent(3))
+ {
+ denom46 = 1-(fProductOfEventWeights[pW][eW]->GetBinContent(4))/
+ (fSumOfEventWeights[pW][eW][0]->GetBinContent(2) * fSumOfEventWeights[pW][eW][0]->GetBinContent(3));
+ }
+ Double_t denom48 = 0.;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(2) && fSumOfEventWeights[pW][eW][0]->GetBinContent(4))
+ {
+ denom48 = 1-(fProductOfEventWeights[pW][eW]->GetBinContent(5))/
+ (fSumOfEventWeights[pW][eW][0]->GetBinContent(2) * fSumOfEventWeights[pW][eW][0]->GetBinContent(4));
+ }
+ Double_t denom68 = 0.;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(3) && fSumOfEventWeights[pW][eW][0]->GetBinContent(4))
+ {
+ denom68 = 1-(fProductOfEventWeights[pW][eW]->GetBinContent(6))/
+ (fSumOfEventWeights[pW][eW][0]->GetBinContent(3) * fSumOfEventWeights[pW][eW][0]->GetBinContent(4));
+ }
+
+ // final covariances:
+ Double_t cov24 = 0.;
+ if(denom24)
+ {
+ cov24 = (product24-two*four)/denom24; // Cov(<2>,<4>)
+ fCovariances[pW][eW]->SetBinContent(1,cov24);
+ }
+ Double_t cov26 = 0.;
+ if(denom26)
+ {
+ cov26 = (product26-two*six)/denom26; // Cov(<2>,<6>)
+ fCovariances[pW][eW]->SetBinContent(2,cov26);
+ }
+ Double_t cov28 = 0.;
+ if(denom28)
+ {
+ cov28 = (product28-two*eight)/denom28; // Cov(<2>,<8>)
+ fCovariances[pW][eW]->SetBinContent(3,cov28);
+ }
+ Double_t cov46 = 0.;
+ if(denom46)
+ {
+ cov46 = (product46-four*six)/denom46; // Cov(<4>,<6>)
+ fCovariances[pW][eW]->SetBinContent(4,cov46);
+ }
+ Double_t cov48 = 0.;
+ if(denom48)
+ {
+ cov48 = (product48-four*eight)/denom48; // Cov(<4>,<8>)
+ fCovariances[pW][eW]->SetBinContent(5,cov48);
+ }
+ Double_t cov68 = 0.;
+ if(denom68)
+ {
+ cov68 = (product68-six*eight)/denom68; // Cov(<6>,<8>)
+ fCovariances[pW][eW]->SetBinContent(6,cov68);
+ }
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateCovariancesForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::FinalizeCorrelationsForIntFlow(Bool_t useParticleWeights, TString eventWeights) // to be improved (there is better way to implement this method)
+{
+ // From fQCorrelations[pW][eW] access measured correlations and spread, calculate statistical errors and store the
+ // final results and statistical errors for correlations in fCorrelations[pW][eW] (binning is the same as in fQCorrelations[pW][eW]).
+
+ // shortcuts for flags:
+ Int_t pW = (Int_t)(useParticleWeights);
+
+ Int_t eW = -1;
+
+ if(eventWeights == "exact")
+ {
+ eW = 0;
+ }
+
+ for(Int_t power=0;power<2;power++)
+ {
+ if(!(fQCorrelations[pW][eW] && fCorrelations[pW][eW] && fSumOfEventWeights[pW][eW][power]))
+ {
+ cout<<"WARNING: fQCorrelations[pW][eW] && fCorrelations[pW][eW] && fSumOfEventWeights[pW][eW][power] is NULL in AFAWQC::FCFIF() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"power = "<<power<<endl;
+ exit(0);
+ }
+ }
+
+ // <<2>>:
+ Double_t correlation2p = fQCorrelations[pW][eW]->GetBinContent(1);
+ Double_t spread2p = fQCorrelations[pW][eW]->GetBinError(1);
+ Double_t sumOfEventWeightsLinear2p = fSumOfEventWeights[pW][eW][0]->GetBinContent(1);
+ Double_t sumOfEventWeightsQuadratic2p = fSumOfEventWeights[pW][eW][1]->GetBinContent(1);
+ // stat.error = termA * spread * termB:
+ // termB = 1/sqrt(1-termA^2)
+ Double_t termA2p = 0.;
+ Double_t termB2p = 0.;
+ Double_t statError2p = 0.;
+ if(sumOfEventWeightsLinear2p)
+ {
+ termA2p = pow(sumOfEventWeightsQuadratic2p,0.5)/sumOfEventWeightsLinear2p;
+ } else
+ {
+ cout<<"WARNING: sumOfEventWeightsLinear2p == 0 in in AFAWQC::FCFIF() !!!!"<<endl;
+ }
+
+ if(1-pow(termA2p,2.) > 0)
+ {
+ termB2p = 1./pow(1-pow(termA2p,2.),0.5);
+ } else
+ {
+ cout<<"WARNING: 1-pow(termA2p,2.) <= 0 in in AFAWQC::FCFIF() !!!!"<<endl;
+ }
+
+ statError2p = termA2p*spread2p*termB2p;
+ fCorrelations[pW][eW]->SetBinContent(1,correlation2p);
+ fCorrelations[pW][eW]->SetBinError(1,statError2p);
+
+ // <<4>>:
+ Double_t correlation4p = fQCorrelations[pW][eW]->GetBinContent(11);
+ Double_t spread4p = fQCorrelations[pW][eW]->GetBinError(11);
+ Double_t sumOfEventWeightsLinear4p = fSumOfEventWeights[pW][eW][0]->GetBinContent(2);
+ Double_t sumOfEventWeightsQuadratic4p = fSumOfEventWeights[pW][eW][1]->GetBinContent(2);
+ Double_t termA4p = 0.;
+ Double_t termB4p = 0.;
+ Double_t statError4p = 0.;
+ if(sumOfEventWeightsLinear4p)
+ {
+ termA4p = pow(sumOfEventWeightsQuadratic4p,0.5)/sumOfEventWeightsLinear4p;
+ } else
+ {
+ cout<<"WARNING: sumOfEventWeightsLinear4p == 0 in in AFAWQC::FCFIF() !!!!"<<endl;
+ }
+ if(1-pow(termA4p,2.) > 0)
+ {
+ termB4p = 1./pow(1-pow(termA4p,2.),0.5);
+ } else
+ {
+ cout<<"WARNING: 1-pow(termA4p,2.) <= 0 in in AFAWQC::FCFIF() !!!!"<<endl;
+ }
+
+ statError4p = termA4p*spread4p*termB4p;
+ fCorrelations[pW][eW]->SetBinContent(11,correlation4p);
+ fCorrelations[pW][eW]->SetBinError(11,statError4p);
+
+ // <<6>>:
+ Double_t correlation6p = fQCorrelations[pW][eW]->GetBinContent(24);
+ Double_t spread6p = fQCorrelations[pW][eW]->GetBinError(24);
+ Double_t sumOfEventWeightsLinear6p = fSumOfEventWeights[pW][eW][0]->GetBinContent(3);
+ Double_t sumOfEventWeightsQuadratic6p = fSumOfEventWeights[pW][eW][1]->GetBinContent(3);
+ Double_t termA6p = 0.;
+ Double_t termB6p = 0.;
+ Double_t statError6p = 0.;
+ if(sumOfEventWeightsLinear6p)
+ {
+ termA6p = pow(sumOfEventWeightsQuadratic6p,0.5)/sumOfEventWeightsLinear6p;
+ } else
+ {
+ cout<<"WARNING: sumOfEventWeightsLinear6p == 0 in in AFAWQC::FCFIF() !!!!"<<endl;
+ }
+ if(1-pow(termA6p,2.) > 0)
+ {
+ termB6p = 1./pow(1-pow(termA6p,2.),0.5);
+ } else
+ {
+ cout<<"WARNING: 1-pow(termA6p,2.) <= 0 in in AFAWQC::FCFIF() !!!!"<<endl;
+ }
+
+ statError6p = termA6p*spread6p*termB6p;
+ fCorrelations[pW][eW]->SetBinContent(24,correlation6p);
+ fCorrelations[pW][eW]->SetBinError(24,statError6p);
+
+ // <<8>>
+ Double_t correlation8p = fQCorrelations[pW][eW]->GetBinContent(31);
+ // ...
+ fCorrelations[pW][eW]->SetBinContent(31,correlation8p);
+ // ...
+
+} // end of AliFlowAnalysisWithQCumulants::FinalizeCorrelationsForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+
+
+//================================================================================================================================
+
+
+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() !!!!"<<endl;
+ exit(0);
+ }
+
+ if(nRP<0)
+ {
+ cout<<"WARNING: nRP<0 in in AFAWQC::FAM() !!!!"<<endl;
+ exit(0);
+ }
+
+ for(Int_t i=0;i<9;i++)
+ {
+ if(nRP>=i) fAvMultiplicity->Fill(i+0.5,nRP,1);
+ }
+
+} // end of AliFlowAnalysisWithQCumulants::FillAverageMultiplicities(nRP)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateCumulantsForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+{
+ // calculate cumulants from measured correlations and store results in fCumulants[pW][eW][0].
+ // (Remark: these cumulants are biased by non-uniform acceptance, corrected cumulants are stored in fCumulants[pW][eW][1].)
+
+ // Binning of fCumulants[pW][nua] is organized as follows:
+ // 1st bin: QC{2}
+ // 2nd bin: QC{4}
+ // 3rd bin: QC{6}
+ // 4th bin: QC{8}
+
+ // shortcuts for the flags:
+ Int_t pW = (Int_t)(useParticleWeights); // (0=weights not used, 1=weights used)
+
+ Int_t eW = -1;
+
+ if(eventWeights == "exact")
+ {
+ eW = 0;
+ }
+
+ if(!(fCorrelations[pW][eW] && fCovariances[pW][eW] && fCumulants[pW][eW][0] && fAvMultiplicity))
+ {
+ cout<<"WARNING: fCorrelations[pW][eW] && fCovariances[pW][eW] && fCumulants[pW][eW][0] && fAvMultiplicity is NULL in AFAWQC::CCFIF() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ exit(0);
+ }
+
+ // correlations:
+ Double_t two = fCorrelations[pW][eW]->GetBinContent(1); // <<2>>
+ Double_t four = fCorrelations[pW][eW]->GetBinContent(11); // <<4>>
+ Double_t six = fCorrelations[pW][eW]->GetBinContent(24); // <<6>>
+ Double_t eight = fCorrelations[pW][eW]->GetBinContent(31); // <<8>>
+ // stat. error of correlations:
+ Double_t twoError = fCorrelations[pW][eW]->GetBinError(1); // stat. error of <<2>>
+ Double_t fourError = fCorrelations[pW][eW]->GetBinError(11); // stat. error of <<4>>
+ Double_t sixError = fCorrelations[pW][eW]->GetBinError(24); // stat. error of <<6>>
+ //Double_t eightError = fQCorrelations[pW]->GetBinError(31); // stat. error of <<8>>
+ // spread of correlations:
+ Double_t twoSpread = 0.; // spread of <<2>>
+ Double_t fourSpread = 0.; // spread of <<6>>
+ Double_t sixSpread = 0.; // spread of <<8>>
+ //Double_t eightSpread = 0.;
+ // stat. error = prefactor * spread:
+ Double_t twoPrefactor = 0;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(1))
+ {
+ twoPrefactor = pow(fSumOfEventWeights[pW][eW][1]->GetBinContent(1),0.5)/fSumOfEventWeights[pW][eW][0]->GetBinContent(1);
+ if(twoPrefactor) twoSpread = twoError/twoPrefactor;
+ }
+ Double_t fourPrefactor = 0;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(2))
+ {
+ fourPrefactor = pow(fSumOfEventWeights[pW][eW][1]->GetBinContent(2),0.5)/fSumOfEventWeights[pW][eW][0]->GetBinContent(2);
+ if(fourPrefactor) fourSpread = fourError/fourPrefactor;
+ }
+ Double_t sixPrefactor = 0;
+ if(fSumOfEventWeights[pW][eW][0]->GetBinContent(3))
+ {
+ sixPrefactor = pow(fSumOfEventWeights[pW][eW][1]->GetBinContent(3),0.5)/fSumOfEventWeights[pW][eW][0]->GetBinContent(3);
+ if(sixPrefactor) sixSpread = sixError/sixPrefactor;
+ }
+ // ... 8th
+ // covariances:
+ Double_t cov24 = fCovariances[pW][eW]->GetBinContent(1); // Cov(<2>,<4>)
+ Double_t cov26 = fCovariances[pW][eW]->GetBinContent(2); // Cov(<2>,<6>)
+ //Double_t cov28 = fCovariances[pW]->GetBinContent(3); // Cov(<2>,<8>)
+ Double_t cov46 = fCovariances[pW][eW]->GetBinContent(4); // Cov(<4>,<6>)
+ //Double_t cov48 = fCovariances[pW]->GetBinContent(5); // Cov(<4>,<8>)
+ //Double_t cov68 = fCovariances[pW]->GetBinContent(6); // Cov(<6>,<8>)
+ // 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.);
+
+ // stat. error of cumulants:
+ Double_t qc2Error = 0; // stat. error of QC{2}
+ Double_t qc4Error = 0; // stat. error of QC{4}
+ Double_t qc6Error = 0; // stat. error of QC{6}
+ // Double_t qc8Error = 0; // stat. error of QC{8} // to be improved (calculated)
+ // spread of cumulants:
+ //Double_t qc2Spread = 0; // spread of QC{2}
+ Double_t qc4Spread = 0; // spread of QC{4}
+ Double_t qc6Spread = 0; // spread of QC{6}
+ // Double_t qc8Spread = 0; // spread of QC{8} // to be improved (calculated)
+
+ qc2Error = twoError; // final stat. error of QC{2}
+
+ if(16.*pow(two,2.)*pow(twoSpread,2.)+pow(fourSpread,2.)-8.*two*cov24 >= 0.)
+ {
+ qc4Spread = pow(16.*pow(two,2.)*pow(twoSpread,2.)+pow(fourSpread,2.)-8.*two*cov24,0.5);
+ } else
+ {
+ cout<<"WARNING: spread of QC{4} is imaginary !!!!"<<endl;
+ }
+
+ qc4Error = fourPrefactor*qc4Spread; // final stat. error of QC{4}
+
+ if(81.*pow(4.*pow(two,2.)-four,2.)*pow(twoSpread,2.)
+ + 81.*pow(two,2.)*pow(fourSpread,2.)+pow(sixSpread,2.)
+ - 162.*(4.*pow(two,2.)-four)*two*cov24
+ + 18.*(4.*pow(two,2.)-four)*cov26
+ - 18.*two*cov46 >= 0.)
+ {
+ qc6Spread = pow(81.*pow(4.*pow(two,2.)-four,2.)*pow(twoSpread,2.)
+ + 81.*pow(two,2.)*pow(fourSpread,2.)+pow(sixSpread,2.)
+ - 162.*(4.*pow(two,2.)-four)*two*cov24
+ + 18.*(4.*pow(two,2.)-four)*cov26
+ - 18.*two*cov46,0.5);
+ } else
+ {
+ cout<<"WARNING: stat. error of QC{6} is imaginary !!!!"<<endl;
+ }
+
+ qc6Error = sixPrefactor*qc6Spread; // final stat. error of QC{6}
+
+ // store the results and statistical errors for cumulants:
+ fCumulants[pW][eW][0]->SetBinContent(1,qc2);
+ fCumulants[pW][eW][0]->SetBinError(1,qc2Error);
+ fCumulants[pW][eW][0]->SetBinContent(2,qc4);
+ fCumulants[pW][eW][0]->SetBinError(2,qc4Error);
+ fCumulants[pW][eW][0]->SetBinContent(3,qc6);
+ fCumulants[pW][eW][0]->SetBinError(3,qc6Error);
+ fCumulants[pW][eW][0]->SetBinContent(4,qc8);
+ // fCumulants[pW]->SetBinError(4,qc8Error); // to be improved (calculated)
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateCumulantsForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateIntFlow(Bool_t useParticleWeights, TString eventWeights, Bool_t correctedForNUA)
+{
+ // calculate final results for integrated flow
+
+ // Results for integrated flow are stored in fInfFlow[pW][nua]. Binning of fIntFlow[pW][nua] is organized as follows:
+ // 1st bin: v{2}
+ // 2nd bin: v{4}
+ // 3rd bin: v{6}
+ // 4th bin: v{8}
+
+ // shortcuts for the flags:
+ Int_t pW = (Int_t)(useParticleWeights); // 0=pWeights not useed, 1=pWeights used
+ Int_t nua = (Int_t)(correctedForNUA); // 0=not corrected for NUA, 1=corrected for NUA
+ Int_t eW = -1;
+
+ if(eventWeights = "exact")
+ {
+ eW = 0;
+ }
+
+ if(!(fCumulants[pW][eW][nua] && fIntFlow[pW][eW][nua]))
+ {
+ cout<<"WARNING: fCumulants[pW][eW][nua] && fIntFlow[pW][eW][nua] is NULL in AFAWQC::CIF() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ exit(0);
+ }
+
+ // cumulants:
+ Double_t qc2 = fCumulants[pW][eW][nua]->GetBinContent(1); // QC{2}
+ Double_t qc4 = fCumulants[pW][eW][nua]->GetBinContent(2); // QC{4}
+ Double_t qc6 = fCumulants[pW][eW][nua]->GetBinContent(3); // QC{6}
+ Double_t qc8 = fCumulants[pW][eW][nua]->GetBinContent(4); // QC{8}
+
+ // cumulants' statistical errors:
+ Double_t qc2Error = fCumulants[pW][eW][nua]->GetBinError(1); // error of QC{2}
+ Double_t qc4Error = fCumulants[pW][eW][nua]->GetBinError(2); // error of QC{4}
+ Double_t qc6Error = fCumulants[pW][eW][nua]->GetBinError(3); // error of QC{6}
+ //Double_t qc8Error = fCumulants[pW][nua]->GetBinError(4); // error of QC{8}
+
+ // integrated flow estimates:
+ Double_t v2 = 0.; // v{2}
+ Double_t v4 = 0.; // v{4}
+ Double_t v6 = 0.; // v{6}
+ Double_t v8 = 0.; // v{8}
+
+ // calculate integrated flow estimates from 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.; // error of v{2}
+ Double_t v4Error = 0.; // error of v{4}
+ Double_t v6Error = 0.; // error of v{6}
+ Double_t v8Error = 0.; // error of v{8}
+
+ // calculate statistical errors for integrated flow estimates:
+ if(qc2>0.) v2Error = (1./(2.*pow(qc2,0.5)))*qc2Error;
+ if(qc4<0.) v4Error = (1./(4.*pow(-1.*qc4,3./4.)))*qc4Error;
+ if(qc6>0.) v6Error = (1./(6.*pow(2.,1./3.)*pow(qc6,5./6.)))*qc6Error;
+ if(qc8<0.) v8Error = 0.; // to be improved (calculated)
+
+ // store final results and statistical errors for integrated flow:
+ fIntFlow[pW][eW][nua]->SetBinContent(1,v2);
+ fIntFlow[pW][eW][nua]->SetBinError(1,v2Error);
+ fIntFlow[pW][eW][nua]->SetBinContent(2,v4);
+ fIntFlow[pW][eW][nua]->SetBinError(2,v4Error);
+ fIntFlow[pW][eW][nua]->SetBinContent(3,v6);
+ fIntFlow[pW][eW][nua]->SetBinError(3,v6Error);
+ fIntFlow[pW][eW][nua]->SetBinContent(4,v8);
+ fIntFlow[pW][eW][nua]->SetBinError(4,v8Error);
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateIntFlow(Bool_t useParticleWeights, TString eventWeights, Bool_t correctedForNUA)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::FillCommonHistResultsIntFlow(Bool_t useParticleWeights, TString eventWeights, Bool_t correctedForNUA)
+{
+ // fill in AliFlowCommonHistResults histograms relevant for 'NONAME' integrated flow (to be improved (name))
+
+ // shortcuts for the flags:
+ Int_t pW = (Int_t)(useParticleWeights); // 0=pWeights not useed, 1=pWeights used
+ Int_t nua = (Int_t)(correctedForNUA); // 0=not corrected for NUA, 1=corrected for NUA
+ Int_t eW = -1;
+
+ if(eventWeights == "exact")
+ {
+ eW = 0;
+ }
+
+ if(!fIntFlow[pW][eW][nua])
+ {
+ cout<<"WARNING: fIntFlow[pW][eW][nua] is NULL in AFAWQC::FCHRIF() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ exit(0);
+ }
+
+ if(!(fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th))
+ {
+ cout<<"WARNING: fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th"<<endl;
+ cout<<" is NULL in AFAWQC::FCHRIF() !!!!"<<endl;
+ exit(0);
+ }
+
+ Double_t v2 = fIntFlow[pW][eW][nua]->GetBinContent(1);
+ Double_t v4 = fIntFlow[pW][eW][nua]->GetBinContent(2);
+ Double_t v6 = fIntFlow[pW][eW][nua]->GetBinContent(3);
+ Double_t v8 = fIntFlow[pW][eW][nua]->GetBinContent(4);
+
+ Double_t v2Error = fIntFlow[pW][eW][nua]->GetBinError(1);
+ Double_t v4Error = fIntFlow[pW][eW][nua]->GetBinError(2);
+ Double_t v6Error = fIntFlow[pW][eW][nua]->GetBinError(3);
+ Double_t v8Error = fIntFlow[pW][eW][nua]->GetBinError(4);
+
+ fCommonHistsResults2nd->FillIntegratedFlow(v2,v2Error);
+ fCommonHistsResults4th->FillIntegratedFlow(v4,v4Error);
+ fCommonHistsResults6th->FillIntegratedFlow(v6,v6Error);
+ fCommonHistsResults8th->FillIntegratedFlow(v8,v8Error);
+
+} // end of AliFlowAnalysisWithQCumulants::FillCommonHistResultsIntFlow(Bool_t useParticleWeights, TString eventWeights, Bool_t correctedForNUA)
+
+
+//================================================================================================================================
+
+
+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() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ exit(0);
+ }
+
+ // non-corrected cumulants:
+ Double_t qc2 = fCumulants[pW][eW][0]->GetBinContent(1);
+ Double_t qc4 = fCumulants[pW][eW][0]->GetBinContent(2);
+ Double_t qc6 = fCumulants[pW][eW][0]->GetBinContent(3);
+ Double_t qc8 = fCumulants[pW][eW][0]->GetBinContent(4);
+ // statistical error of non-corrected cumulants:
+ Double_t qc2Error = fCumulants[pW][eW][0]->GetBinError(1);
+ Double_t qc4Error = fCumulants[pW][eW][0]->GetBinError(2);
+ Double_t qc6Error = fCumulants[pW][eW][0]->GetBinError(3);
+ Double_t qc8Error = fCumulants[pW][eW][0]->GetBinError(4);
+ // corrections for non-uniform acceptance:
+ Double_t qc2Correction = fCorrections[pW][eW]->GetBinContent(1);
+ Double_t qc4Correction = fCorrections[pW][eW]->GetBinContent(2);
+ Double_t qc6Correction = fCorrections[pW][eW]->GetBinContent(3);
+ Double_t qc8Correction = fCorrections[pW][eW]->GetBinContent(4);
+ // corrected cumulants:
+ Double_t qc2Corrected = qc2 + qc2Correction;
+ Double_t qc4Corrected = qc4 + qc4Correction;
+ Double_t qc6Corrected = qc6 + qc6Correction;
+ Double_t qc8Corrected = qc8 + qc8Correction;
+
+ // ... to be improved (I need here also to correct error of QCs for NUA.
+ // For simplicity sake I assume at the moment that this correction is negliglible, but it will be added eventually...)
+
+ // store corrected results and statistical errors for cumulants:
+ fCumulants[pW][eW][1]->SetBinContent(1,qc2Corrected);
+ fCumulants[pW][eW][1]->SetBinContent(2,qc4Corrected);
+ fCumulants[pW][eW][1]->SetBinContent(3,qc6Corrected);
+ fCumulants[pW][eW][1]->SetBinContent(4,qc8Corrected);
+ fCumulants[pW][eW][1]->SetBinError(1,qc2Error); // to be improved (correct also qc2Error for NUA)
+ fCumulants[pW][eW][1]->SetBinError(2,qc4Error); // to be improved (correct also qc4Error for NUA)
+ fCumulants[pW][eW][1]->SetBinError(3,qc6Error); // to be improved (correct also qc6Error for NUA)
+ fCumulants[pW][eW][1]->SetBinError(4,qc8Error); // to be improved (correct also qc8Error for NUA)
+
+} // end of AliFlowAnalysisWithQCumulants::ApplyCorrectionForNonUniformAcceptanceToCumulantsForIntFlow(Bool_t useParticleWeights, TString eventWeights)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::PrintQuantifyingCorrectionsForNonUniformAcceptance(Bool_t useParticleWeights, TString eventWeights)
+{
+ // print on the screen QC{n,biased}/QC{n,corrected}
+
+ // 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]))
+ {
+ cout<<"WARNING: fCumulants[pW][eW][0] && fCumulants[pW][eW][1] is NULL in AFAWQC::PQCFNUA() !!!!"<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ exit(0);
+ }
+
+ cout<<endl;
+ cout<<" Quantifying the bias to Q-cumulants from"<<endl;
+ cout<<" non-uniform acceptance of the detector:"<<endl;
+ cout<<endl;
+
+ if(fCumulants[pW][eW][1]->GetBinContent(1))
+ {
+ cout<<" QC{2,biased}/QC{2,corrected} = "<<(fCumulants[pW][eW][0]->GetBinContent(1))/(fCumulants[pW][eW][1]->GetBinContent(1))<<endl;
+ }
+ if(fCumulants[pW][eW][1]->GetBinContent(2))
+ {
+ cout<<" QC{4,biased}/QC{4,corrected} = "<<fCumulants[pW][eW][0]->GetBinContent(2)/fCumulants[pW][eW][1]->GetBinContent(2)<<endl;
+ }
+
+ cout<<endl;
+
+} // end of AliFlowAnalysisWithQCumulants::PrintQuantifyingCorrectionsForNonUniformAcceptance(Bool_t useParticleWeights, TString eventWeights)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateWeightedCorrelationsForIntegratedFlow()
+{
+ // calculate all weighted correlations needed for integrated flow and store them in 1D profile fQCorrelations[1][eW] and fQExtraCorrelations[1][eW]
+
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ if(!(fQCorrelationsEBE[1] && fQCorrelations[1][eW]))
+ {
+ cout<<"WARNING: fQCorrelationsEBE[1] && fQCorrelations[1][eW] is NULL in AFAWQC::CWCFIF() !!!!"<<endl;
+ cout<<"eW = "<<eW<<endl;
+ exit(0);
+ }
+ }
+
+ // Remark 1: binning of fQCorrelations[W] is organized as follows:
+ //..............................................................................................
+ // ---- bins 1-20: 2-particle correlations ----
+ // 1st bin: two1n1nW1W1 = <w1 w2 cos(n*(phi1-phi2))>
+ // 2nd bin: two2n2nW2W2 = <w1^2 w2^2 cos(2n*(phi1-phi2))>
+ // 3rd bin: two3n3nW3W3 = <w1^3 w2^3 cos(3n*(phi1-phi2))>
+ // 4th bin: two4n4nW4W4 = <w1^4 w2^4 cos(4n*(phi1-phi2))>
+ // 5th bin: two1n1nW3W1 = <w1^3 w2 cos(n*(phi1-phi2))>
+ // 6th bin: two1n1nW1W1W2 = <w1 w2 w3^2 cos(n*(phi1-phi2))>
+ // ---- bins 21-40: 3-particle correlations ----
+ // 21st bin: three2n1n1nW2W1W1 = <w1^2 w2 w3 cos(n*(2phi1-phi2-phi3))>
+ // ---- bins 41-60: 4-particle correlations ----
+ // 41st bin: four1n1n1n1nW1W1W1W1 = <w1 w2 w3 w4 cos(n*(phi1+phi2-phi3-phi4))>
+ // ---- bins 61-80: 5-particle correlations ----
+ // ---- bins 81-100: 6-particle correlations ----
+ // ---- bins 101-120: 7-particle correlations ----
+ // ---- bins 121-140: 8-particle correlations ----
+ //..............................................................................................
+
+ // 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
+ //..............................................................................................
+
+ // ***********************************************
+ // **** weighted multi-particle correlations: ****
+ // ***********************************************
+ //..............................................................................................
+ // weighted 2-particle correlations:
+ Double_t two1n1nW1W1 = 0.; // <w1 w2 cos(n*(phi1-phi2))>
+ Double_t two2n2nW2W2 = 0.; // <w1^2 w2^2 cos(2n*(phi1-phi2))>
+ Double_t two3n3nW3W3 = 0.; // <w1^3 w2^3 cos(3n*(phi1-phi2))>
+ Double_t two4n4nW4W4 = 0.; // <w1^4 w2^4 cos(4n*(phi1-phi2))>
+ Double_t two1n1nW3W1 = 0.; // <w1^3 w2 cos(n*(phi1-phi2))>
+ Double_t two1n1nW1W1W2 = 0.; // <w1 w2 w3^2 cos(n*(phi1-phi2))>
+
+ if(dMult>1)
+ {
+ if(dM11)
+ {
+ two1n1nW1W1 = (pow(dReQ1n1k,2)+pow(dImQ1n1k,2)-(*fSMpk)(0,2))/dM11;
+
+ // average weighted correlation <w1 w2 cos(n*(phi1-phi2))> for single event:
+ fQCorrelationsEBE[1]->SetBinContent(1,two1n1nW1W1);
+
+ // average weighted correlation <w1 w2 cos(n*(phi1-phi2))> for all events:
+ //fQCorrelationsW->Fill(0.,two1n1nW1W1,dM11);
+ fQCorrelations[1][0]->Fill(0.5,two1n1nW1W1,dM11);
+ }
+ if(dM22)
+ {
+ two2n2nW2W2 = (pow(dReQ2n2k,2)+pow(dImQ2n2k,2)-(*fSMpk)(0,4))/dM22;
+ //fQCorrelationsW->Fill(1.,two2n2nW2W2,dM22);
+ fQCorrelations[1][0]->Fill(1.5,two2n2nW2W2,dM22);
+ }
+ if(dM33)
+ {
+ two3n3nW3W3 = (pow(dReQ3n3k,2)+pow(dImQ3n3k,2)-(*fSMpk)(0,6))/dM33;
+ //fQCorrelationsW->Fill(2.,two3n3nW3W3,dM33);
+ fQCorrelations[1][0]->Fill(2.5,two3n3nW3W3,dM33);
+ }
+ if(dM44)
+ {
+ two4n4nW4W4 = (pow(dReQ4n4k,2)+pow(dImQ4n4k,2)-(*fSMpk)(0,8))/dM44;
+ //fQCorrelationsW->Fill(3.,two4n4nW4W4,dM44);
+ fQCorrelations[1][0]->Fill(3.5,two4n4nW4W4,dM44);
+ }
+ if(dM31)
+ {
+ two1n1nW3W1 = (dReQ1n3k*dReQ1n1k+dImQ1n3k*dImQ1n1k-(*fSMpk)(0,4))/dM31;
+ //fQCorrelationsW->Fill(4.,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;
+ //fQCorrelationsW->Fill(5.,two1n1nW1W1W2,dM211);
+ }
+ } // end of if(dMult>1)
+ //..............................................................................................
+
+ //..............................................................................................
+ // weighted 3-particle correlations:
+ Double_t three2n1n1nW2W1W1 = 0.; // <w1^2 w2 w3 cos(n*(2phi1-phi2-phi3))>
+
+ 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;
+ //fQCorrelationsW->Fill(20.,three2n1n1nW2W1W1,dM211);
+ }
+ } // end of if(dMult>2)
+ //..............................................................................................
+
+ //..............................................................................................
+ // weighted 4-particle correlations:
+ Double_t four1n1n1n1nW1W1W1W1 = 0.; // <w1 w2 w3 w4 cos(n*(phi1+phi2-phi3-phi4))>
+ 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 weighted correlation <w1 w2 w3 w4 cos(n*(phi1+phi2-phi3-phi4))> for single event:
+ fQCorrelationsEBE[1]->SetBinContent(11,four1n1n1n1nW1W1W1W1);
+
+ // average weighted correlation <w1 w2 w3 w4 cos(n*(phi1+phi2-phi3-phi4))> for all events:
+ //fQCorrelationsW->Fill(40.,four1n1n1n1nW1W1W1W1,dM1111);
+
+ fQCorrelations[1][0]->Fill(10.5,four1n1n1n1nW1W1W1W1,dM1111);
+ }
+ } // end of if(dMult>3)
+ //..............................................................................................
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateWeightedCorrelationsForIntegratedFlow()
+
+
+//================================================================================================================================
+
+
+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 needed to calculate the integrated flow
+
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++) // not weighted or weighted
+ {
+ fQCorrelationsEBE[pW] = NULL;
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ fQCorrectionsEBE[pW][sc] = NULL;
+ }
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // profiles:
+ fQCorrelations[pW][eW] = NULL;
+ fQProducts[pW][eW] = NULL;
+ for(Int_t sc=0;sc<2;sc++) // sin or cos terms
+ {
+ fQCorrections[pW][eW][sc] = NULL;
+ }
+ // histograms with results:
+ fCorrelations[pW][eW] = NULL;
+ fCovariances[pW][eW] = NULL;
+ fCorrections[pW][eW] = NULL;
+ fProductOfEventWeights[pW][eW] = NULL;
+ for(Int_t power=0;power<2;power++)
+ {
+ fSumOfEventWeights[pW][eW][power] = NULL;
+ }
+ for(Int_t nua=0;nua<2;nua++) // not corrected or corrected
+ {
+ fCumulants[pW][eW][nua] = NULL;
+ fIntFlow[pW][eW][nua] = NULL;
+ }
+ }
+ }
+
+} // end of void AliFlowAnalysisWithQCumulants::InitializeArraysForIntFlow()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::InitializeArraysForDiffFlow()
+{
+ // initialize all arrays needed to calcualted differential flow
+
+ // nested lists in fDiffFlowProfiles:
+ for(Int_t t=0;t<2;t++)
+ {
+ fDFPType[t] = NULL;
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++)
+ {
+ 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;
+ }
+ }
+ }
+ }
+
+ // profiles in nested lists in fDiffFlowProfiles:
+ for(Int_t t=0;t<2;t++) // type: RP or POI
+ {
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++) // particle weights: not used or used
+ {
+ 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;
+ }
+ }
+ }
+ }
+ }
+
+ // nested lists in fDiffFlowResults:
+ for(Int_t t=0;t<2;t++)
+ {
+ fDFRType[t] = NULL;
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++)
+ {
+ fDFRParticleWeights[t][pW] = NULL;
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ fDFREventWeights[t][pW][eW] = NULL;
+ fDiffFlowFinalCorrelations[t][pW][eW] = NULL;
+ fDiffFlowFinalCorrections[t][pW][eW] = NULL;
+ fDiffFlowFinalCovariances[t][pW][eW] = NULL;
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ fDFRCorrections[t][pW][eW][nua] = NULL;
+ fDiffFlowFinalCumulants[t][pW][eW][nua] = NULL;
+ fDiffFlowFinalFlow[t][pW][eW][nua] = NULL;
+ }
+ }
+ }
+ }
+
+ // 2D and 1D histograms in nested lists in fDiffFlowResults:
+ for(Int_t t=0;t<2;t++)
+ {
+ fNonEmptyBins2D[t] = NULL;
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ fNonEmptyBins1D[t][pe] = NULL;
+ }
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++)
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // correlations:
+ for(Int_t correlationIndex=0;correlationIndex<4;correlationIndex++)
+ {
+ fFinalCorrelations2D[t][pW][eW][correlationIndex] = NULL;
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ fFinalCorrelations1D[t][pW][eW][pe][correlationIndex] = NULL;
+ }
+ }
+ // corrections:
+ for(Int_t correctionIndex=0;correctionIndex<4;correctionIndex++)
+ {
+ fFinalCorrections2D[t][pW][eW][correctionIndex] = NULL;
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ fFinalCorrections1D[t][pW][eW][pe][correctionIndex] = NULL;
+ }
+ }
+ // covariances:
+ for(Int_t covarianceIndex=0;covarianceIndex<4;covarianceIndex++)
+ {
+ fFinalCovariances2D[t][pW][eW][covarianceIndex] = NULL;
+ for(Int_t pe=0;pe<2;pe++)
+ {
+ fFinalCovariances1D[t][pW][eW][pe][covarianceIndex] = NULL;
+ }
+ }
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ // cumulants:
+ for(Int_t cumulantIndex=0;cumulantIndex<4;cumulantIndex++)
+ {
+ fFinalCumulants2D[t][pW][eW][nua][cumulantIndex] = NULL;
+ fFinalCumulantsPt[t][pW][eW][nua][cumulantIndex] = NULL;
+ fFinalCumulantsEta[t][pW][eW][nua][cumulantIndex] = NULL;
+ }
+ // final flow:
+ for(Int_t finalFlowIndex=0;finalFlowIndex<4;finalFlowIndex++)
+ {
+ fFinalFlow2D[t][pW][eW][nua][finalFlowIndex] = NULL;
+ fFinalFlowPt[t][pW][eW][nua][finalFlowIndex] = NULL;
+ fFinalFlowEta[t][pW][eW][nua][finalFlowIndex] = NULL;
+ }
+ }
+ }
+ }
+ }
+
+ 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
+ {
+ fReEBE[t][m][k] = NULL;
+ fImEBE[t][m][k] = NULL;
+ fs[t][k] = NULL; // to be improved (this doesn't need to be within loop over m)
+ }
+ }
+ }
+
+} // end of AliFlowAnalysisWithQCumulants::InitializeArraysForDiffFlow()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::BookEverythingForDifferentialFlow()
+{
+ // organize and book everything needed for differential flow
+
+ // book and nest all lists belonging to the list fDiffFlowProfiles "Profiles":
+ TList list; // to be improved (do I need this here?)
+ list.SetOwner(kTRUE); // to be improved (do I need this here?)
+ TString typeFlag[2] = {"RP","POI"}; // to be improved (do I need this here?)
+ TString pWeightsFlag[2] = {"not used","used"}; // to be improved (do I need this here?)
+ TString eWeightsFlag[2] = {"exact","non-exact"}; // to be improved (do I need this here?)
+ //TString sinCosFlag[2] = {"sin","cos"}; // to be improved (do I need this here?)
+ TString nuaFlag[2] = {"not corrected","corrected"}; // nua = non-uniform acceptance // to be improved (do I need this here?)
+
+ // book all 2D profiles and add to appropriate lists:
+ TProfile2D styleProfile("","",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax);
+ styleProfile.SetXTitle("p_{t}");
+ styleProfile.SetYTitle("#eta");
+ TString correlationName[4] = {"<2'>","<4'>","<6'>","<8'>"};
+ TString cumulantName[4] = {"QC{2'}","QC{4'}","QC{6'}","QC{8'}"};
+ TString productOfCorrelationsName[5] = {"<2><2'>","<2><4'>","<4><2'>","<4><4'>","<2'><4'>"};
+ TString correctionsSinTermsName[2] = {"sin(1)","sin(2)"};
+ TString correctionsCosTermsName[2] = {"cos(1)","cos(2)"};
+ TString correctionName[4] = {"corr. to QC{2'}","corr. to QC{4'}","corr. to QC{6'}","corr. to QC{8'}"};
+ TString covarianceName[4] = {"Cov(2,2')","Cov(2,4')","Cov(2',4')","Cov(4,2')"}; // to be improved (reorganized)
+ TString flowName[4] = {"v'{2}","v'{4}","v'{6}","v'{8}"};
+
+ for(Int_t t=0;t<2;t++) // type: RP or POI
+ {
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++) // weights: not used or used
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // correlations:
+ for(Int_t correlationIndex=0;correlationIndex<4;correlationIndex++)
+ {
+ fCorrelationsPro[t][pW][eW][correlationIndex] = (TProfile2D*)styleProfile.Clone(correlationName[correlationIndex].Data());
+ fCorrelationsPro[t][pW][eW][correlationIndex]->SetTitle(correlationName[correlationIndex].Data());
+ fDiffFlowCorrelations[t][pW][eW]->Add(fCorrelationsPro[t][pW][eW][correlationIndex]);
+ }
+ // products of correlations:
+ for(Int_t productOfCorrelationsIndex=0;productOfCorrelationsIndex<5;productOfCorrelationsIndex++)
+ {
+ fProductsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex] = (TProfile2D*)styleProfile.Clone(productOfCorrelationsName[productOfCorrelationsIndex].Data());
+ fProductsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex]->SetTitle(productOfCorrelationsName[productOfCorrelationsIndex].Data());
+ fDiffFlowProductsOfCorrelations[t][pW][eW]->Add(fProductsOfCorrelationsPro[t][pW][eW][productOfCorrelationsIndex]);
+ }
+ // correction terms:
+ for(Int_t sc=0;sc<2;sc++)
+ {
+ for(Int_t correctionsIndex=0;correctionsIndex<2;correctionsIndex++)
+ {
+ if(sc==0)
+ {
+ fCorrectionTermsPro[t][pW][eW][sc][correctionsIndex] = (TProfile2D*)styleProfile.Clone(correctionsSinTermsName[correctionsIndex].Data());
+ fCorrectionTermsPro[t][pW][eW][sc][correctionsIndex]->SetTitle(correctionsSinTermsName[correctionsIndex].Data());
+ fDiffFlowCorrectionTerms[t][pW][eW][sc]->Add(fCorrectionTermsPro[t][pW][eW][sc][correctionsIndex]);
+ }
+ if(sc==1)
+ {
+ fCorrectionTermsPro[t][pW][eW][sc][correctionsIndex] = (TProfile2D*)styleProfile.Clone(correctionsCosTermsName[correctionsIndex].Data());
+ fCorrectionTermsPro[t][pW][eW][sc][correctionsIndex]->SetTitle(correctionsCosTermsName[correctionsIndex].Data());
+ fDiffFlowCorrectionTerms[t][pW][eW][sc]->Add(fCorrectionTermsPro[t][pW][eW][sc][correctionsIndex]);
+ }
+ }
+ }
+ }
+ }
+ }
+
+ // book all 2D and 1D histograms for final results and store them in appropriate lists:
+ TH2D styleHistPtEta("","",fnBinsPt,fPtMin,fPtMax,fnBinsEta,fEtaMin,fEtaMax);
+ styleHistPtEta.SetXTitle("p_{t}");
+ styleHistPtEta.SetYTitle("#eta");
+ TH1D styleHistPt("","",fnBinsPt,fPtMin,fPtMax);
+ styleHistPt.SetXTitle("p_{t}");
+ TH1D styleHistEta("","",fnBinsEta,fEtaMin,fEtaMax);
+ styleHistEta.SetXTitle("#eta");
+ for(Int_t t=0;t<2;t++) // RP or POI
+ {
+ // 2D:
+ fNonEmptyBins2D[t] = (TH2D*)styleHistPtEta.Clone(Form("%s, (p_{t},#eta)",typeFlag[t].Data()));
+ fNonEmptyBins2D[t]->SetTitle(Form("Non-empty bins: %s (p_{t},#eta)",typeFlag[t].Data()));
+ fDFRType[t]->Add(fNonEmptyBins2D[t]);
+ // 1D:
+ fNonEmptyBins1D[t][0] = (TH1D*)styleHistPt.Clone(Form("%s, p_{t}",typeFlag[t].Data()));
+ fNonEmptyBins1D[t][0]->SetTitle(Form("Non-empty bins: %s (p_{t})",typeFlag[t].Data()));
+ fDFRType[t]->Add(fNonEmptyBins1D[t][0]);
+ fNonEmptyBins1D[t][1] = (TH1D*)styleHistEta.Clone(Form("%s, #eta",typeFlag[t].Data()));
+ fNonEmptyBins1D[t][1]->SetTitle(Form("Non-empty bins: %s (#eta)",typeFlag[t].Data()));
+ fDFRType[t]->Add(fNonEmptyBins1D[t][1]);
+
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++) // particle weights not used or used
+ {
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ // correlations:
+ for(Int_t correlationIndex=0;correlationIndex<4;correlationIndex++)
+ {
+ // 2D:
+ fFinalCorrelations2D[t][pW][eW][correlationIndex] = (TH2D*)styleHistPtEta.Clone(Form("%s, (p_{t},#eta)",correlationName[correlationIndex].Data()));
+ fFinalCorrelations2D[t][pW][eW][correlationIndex]->SetTitle(Form("%s (p_{t},#eta): %s, pWeights %s, eWeights %s",correlationName[correlationIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCorrelations[t][pW][eW]->Add(fFinalCorrelations2D[t][pW][eW][correlationIndex]);
+ // 1D:
+ for(Int_t pe=0;pe<2;pe++) // pt or eta:
+ {
+ if(pe==0)
+ {
+ fFinalCorrelations1D[t][pW][eW][pe][correlationIndex] = (TH1D*)styleHistPt.Clone(Form("%s, (p_{t})",correlationName[correlationIndex].Data()));
+ fFinalCorrelations1D[t][pW][eW][pe][correlationIndex]->SetTitle(Form("%s (p_{t}): %s, pWeights %s, eWeights %s",correlationName[correlationIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCorrelations[t][pW][eW]->Add(fFinalCorrelations1D[t][pW][eW][pe][correlationIndex]);
+ }
+ if(pe==1)
+ {
+ fFinalCorrelations1D[t][pW][eW][pe][correlationIndex] = (TH1D*)styleHistEta.Clone(Form("%s, (#eta)",correlationName[correlationIndex].Data()));
+ fFinalCorrelations1D[t][pW][eW][pe][correlationIndex]->SetTitle(Form("%s (#eta): %s, pWeights %s, eWeights %s",correlationName[correlationIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCorrelations[t][pW][eW]->Add(fFinalCorrelations1D[t][pW][eW][pe][correlationIndex]);
+ }
+ }
+ }
+ // corrections:
+ for(Int_t correctionIndex=0;correctionIndex<4;correctionIndex++)
+ {
+ // 2D:
+ fFinalCorrections2D[t][pW][eW][correctionIndex] = (TH2D*)styleHistPtEta.Clone(Form("%s, (p_{t},#eta)",correctionName[correctionIndex].Data()));
+ fFinalCorrections2D[t][pW][eW][correctionIndex]->SetTitle(Form("%s (p_{t},#eta): %s, pWeights %s, eWeights %s",correctionName[correctionIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCorrections[t][pW][eW]->Add(fFinalCorrections2D[t][pW][eW][correctionIndex]);
+ // 1D:
+ for(Int_t pe=0;pe<2;pe++) // pt or eta:
+ {
+ if(pe==0)
+ {
+ fFinalCorrections1D[t][pW][eW][pe][correctionIndex] = (TH1D*)styleHistPt.Clone(Form("%s, (p_{t})",correctionName[correctionIndex].Data()));
+ fFinalCorrections1D[t][pW][eW][pe][correctionIndex]->SetTitle(Form("%s (p_{t}): %s, pWeights %s, eWeights %s",correctionName[correctionIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCorrections[t][pW][eW]->Add(fFinalCorrections1D[t][pW][eW][pe][correctionIndex]);
+ }
+ if(pe==1)
+ {
+ fFinalCorrections1D[t][pW][eW][pe][correctionIndex] = (TH1D*)styleHistEta.Clone(Form("%s, (#eta)",correctionName[correctionIndex].Data()));
+ fFinalCorrections1D[t][pW][eW][pe][correctionIndex]->SetTitle(Form("%s (#eta): %s, pWeights %s, eWeights %s",correctionName[correctionIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCorrections[t][pW][eW]->Add(fFinalCorrections1D[t][pW][eW][pe][correctionIndex]);
+ }
+ }
+ }
+ // covariances:
+ for(Int_t covarianceIndex=0;covarianceIndex<4;covarianceIndex++)
+ {
+ // 2D:
+ fFinalCovariances2D[t][pW][eW][covarianceIndex] = (TH2D*)styleHistPtEta.Clone(Form("%s, (p_{t},#eta)",covarianceName[covarianceIndex].Data()));
+ fFinalCovariances2D[t][pW][eW][covarianceIndex]->SetTitle(Form("%s (p_{t},#eta): %s, pWeights %s, eWeights %s",covarianceName[covarianceIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCovariances[t][pW][eW]->Add(fFinalCovariances2D[t][pW][eW][covarianceIndex]);
+ // 1D:
+ for(Int_t pe=0;pe<2;pe++) // pt or eta:
+ {
+ if(pe==0)
+ {
+ fFinalCovariances1D[t][pW][eW][pe][covarianceIndex] = (TH1D*)styleHistPt.Clone(Form("%s, (p_{t})",covarianceName[covarianceIndex].Data()));
+ fFinalCovariances1D[t][pW][eW][pe][covarianceIndex]->SetTitle(Form("%s (p_{t}): %s, pWeights %s, eWeights %s",covarianceName[covarianceIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCovariances[t][pW][eW]->Add(fFinalCovariances1D[t][pW][eW][pe][covarianceIndex]);
+ }
+ if(pe==1)
+ {
+ fFinalCovariances1D[t][pW][eW][pe][covarianceIndex] = (TH1D*)styleHistEta.Clone(Form("%s, (#eta)",covarianceName[covarianceIndex].Data()));
+ fFinalCovariances1D[t][pW][eW][pe][covarianceIndex]->SetTitle(Form("%s (#eta): %s, pWeights %s, eWeights %s",covarianceName[covarianceIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDiffFlowFinalCovariances[t][pW][eW]->Add(fFinalCovariances1D[t][pW][eW][pe][covarianceIndex]);
+ }
+ }
+ }
+ for(Int_t nua=0;nua<2;nua++) // corrected or not
+ {
+ // cumulants:
+ for(Int_t cumulantIndex=0;cumulantIndex<4;cumulantIndex++)
+ {
+ // 2D:
+ fFinalCumulants2D[t][pW][eW][nua][cumulantIndex] = (TH2D*)styleHistPtEta.Clone(Form("%s, (p_{t},#eta)",cumulantName[cumulantIndex].Data()));
+ fFinalCumulants2D[t][pW][eW][nua][cumulantIndex]->SetTitle(Form("%s (p_{t},#eta): %s, pWeights %s, eWeights %s, %s for NUA",cumulantName[cumulantIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDiffFlowFinalCumulants[t][pW][eW][nua]->Add(fFinalCumulants2D[t][pW][eW][nua][cumulantIndex]);
+ // pt:
+ fFinalCumulantsPt[t][pW][eW][nua][cumulantIndex] = (TH1D*)styleHistPt.Clone(Form("%s, (p_{t})",cumulantName[cumulantIndex].Data()));
+ fFinalCumulantsPt[t][pW][eW][nua][cumulantIndex]->SetTitle(Form("%s (p_{t}): %s, pWeights %s, eWeights %s, %s for NUA",cumulantName[cumulantIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDiffFlowFinalCumulants[t][pW][eW][nua]->Add(fFinalCumulantsPt[t][pW][eW][nua][cumulantIndex]);
+ // eta:
+ fFinalCumulantsEta[t][pW][eW][nua][cumulantIndex] = (TH1D*)styleHistEta.Clone(Form("%s, (#eta)",cumulantName[cumulantIndex].Data()));
+ fFinalCumulantsEta[t][pW][eW][nua][cumulantIndex]->SetTitle(Form("%s (#eta): %s, pWeights %s, eWeights %s, %s for NUA",cumulantName[cumulantIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDiffFlowFinalCumulants[t][pW][eW][nua]->Add(fFinalCumulantsEta[t][pW][eW][nua][cumulantIndex]);
+ }
+ // flow:
+ for(Int_t flowIndex=0;flowIndex<4;flowIndex++)
+ {
+ // 2D:
+ fFinalFlow2D[t][pW][eW][nua][flowIndex] = (TH2D*)styleHistPtEta.Clone(Form("%s, (p_{t},#eta)",flowName[flowIndex].Data()));
+ fFinalFlow2D[t][pW][eW][nua][flowIndex]->SetTitle(Form("%s (p_{t},#eta): %s, pWeights %s, eWeights %s, %s for NUA",flowName[flowIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDiffFlowFinalFlow[t][pW][eW][nua]->Add(fFinalFlow2D[t][pW][eW][nua][flowIndex]);
+ // pt:
+ fFinalFlowPt[t][pW][eW][nua][flowIndex] = (TH1D*)styleHistPt.Clone(Form("%s, (p_{t})",flowName[flowIndex].Data()));
+ fFinalFlowPt[t][pW][eW][nua][flowIndex]->SetTitle(Form("%s (p_{t}): %s, pWeights %s, eWeights %s, %s for NUA",flowName[flowIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDiffFlowFinalFlow[t][pW][eW][nua]->Add(fFinalFlowPt[t][pW][eW][nua][flowIndex]);
+ // eta:
+ fFinalFlowEta[t][pW][eW][nua][flowIndex] = (TH1D*)styleHistEta.Clone(Form("%s, (#eta)",flowName[flowIndex].Data()));
+ fFinalFlowEta[t][pW][eW][nua][flowIndex]->SetTitle(Form("%s (#eta): %s, pWeights %s, eWeights %s, %s for NUA",flowName[flowIndex].Data(),typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDiffFlowFinalFlow[t][pW][eW][nua]->Add(fFinalFlowEta[t][pW][eW][nua][flowIndex]);
+ }
+ }
+ }
+ }
+ }
+
+ // 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 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)
+
+ 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++)
+ {
+ fReEBE[t][m][k] = (TProfile2D*)styleRe.Clone(Form("typeFlag%dmultiple%dpower%dRe",t,m,k));
+ fImEBE[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++)
+ {
+ fs[t][k] = (TProfile2D*)styleS.Clone(Form("typeFlag%dpower%d",t,k));
+ }
+ }
+
+} // end of AliFlowAnalysisWithQCumulants::BookEverythingForDifferentialFlow()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateCorrelationsForDifferentialFlow(TString type)
+{
+ // calculate all reduced correlations needed for differential flow for each (pt,eta) bin:
+
+ Int_t typeFlag = -1;
+
+ // reduced correlations ares stored in fCorrelationsPro[t][pW][index] and are indexed as follows:
+ // index:
+ // 0: <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 = fReEBE[2][0][0]->GetBinContent(fReEBE[2][0][0]->GetBin(p,e))
+ * fReEBE[2][0][0]->GetBinEntries(fReEBE[2][0][0]->GetBin(p,e));
+ q1n0kIm = fImEBE[2][0][0]->GetBinContent(fImEBE[2][0][0]->GetBin(p,e))
+ * fImEBE[2][0][0]->GetBinEntries(fImEBE[2][0][0]->GetBin(p,e));
+ q2n0kRe = fReEBE[2][1][0]->GetBinContent(fReEBE[2][1][0]->GetBin(p,e))
+ * fReEBE[2][1][0]->GetBinEntries(fReEBE[2][1][0]->GetBin(p,e));
+ q2n0kIm = fImEBE[2][1][0]->GetBinContent(fImEBE[2][1][0]->GetBin(p,e))
+ * fImEBE[2][1][0]->GetBinEntries(fImEBE[2][1][0]->GetBin(p,e));
+
+ mq = fReEBE[2][0][0]->GetBinEntries(fReEBE[2][0][0]->GetBin(p,e)); // to be improved (cross-checked by accessing other profiles here)
+
+ if(type == "POI")
+ {
+ // p_{m*n,0}:
+ p1n0kRe = fReEBE[1][0][0]->GetBinContent(fReEBE[1][0][0]->GetBin(p,e))
+ * fReEBE[1][0][0]->GetBinEntries(fReEBE[1][0][0]->GetBin(p,e));
+ p1n0kIm = fImEBE[1][0][0]->GetBinContent(fImEBE[1][0][0]->GetBin(p,e))
+ * fImEBE[1][0][0]->GetBinEntries(fImEBE[1][0][0]->GetBin(p,e));
+
+ mp = fReEBE[1][0][0]->GetBinEntries(fReEBE[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::CalculateCorrelationsForDifferentialFlow()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateWeightedCorrelationsForDifferentialFlow(TString type)
+{
+ // calculate all weighted correlations needed for differential flow
+
+ // 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 (pt,eta) bins and calculating weighted 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,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")
+ {
+ // p_{m*n,0}:
+ p1n0kRe = fReEBE[1][0][0]->GetBinContent(fReEBE[1][0][0]->GetBin(p,e))
+ * fReEBE[1][0][0]->GetBinEntries(fReEBE[1][0][0]->GetBin(p,e));
+ p1n0kIm = fImEBE[1][0][0]->GetBinContent(fImEBE[1][0][0]->GetBin(p,e))
+ * fImEBE[1][0][0]->GetBinEntries(fImEBE[1][0][0]->GetBin(p,e));
+
+ mp = fReEBE[1][0][0]->GetBinEntries(fReEBE[1][0][0]->GetBin(p,e));
+
+ // q_{m*n,k}:
+ q1n2kRe = fReEBE[2][0][2]->GetBinContent(fReEBE[2][0][2]->GetBin(p,e))
+ * fReEBE[2][0][2]->GetBinEntries(fReEBE[2][0][2]->GetBin(p,e));
+ q1n2kIm = fImEBE[2][0][2]->GetBinContent(fImEBE[2][0][2]->GetBin(p,e))
+ * fImEBE[2][0][2]->GetBinEntries(fImEBE[2][0][2]->GetBin(p,e));
+ q2n1kRe = fReEBE[2][1][1]->GetBinContent(fReEBE[2][1][1]->GetBin(p,e))
+ * fReEBE[2][1][1]->GetBinEntries(fReEBE[2][1][1]->GetBin(p,e));
+ q2n1kIm = fImEBE[2][1][1]->GetBinContent(fImEBE[2][1][1]->GetBin(p,e))
+ * fImEBE[2][1][1]->GetBinEntries(fImEBE[2][1][1]->GetBin(p,e));
+
+ // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation)
+ s1p1k = pow(fs[2][1]->GetBinContent(fs[2][1]->GetBin(p,e)),1.);
+ s1p2k = pow(fs[2][2]->GetBinContent(fs[2][2]->GetBin(p,e)),1.);
+ s1p3k = pow(fs[2][3]->GetBinContent(fs[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 = fReEBE[0][0][0]->GetBinContent(fReEBE[0][0][0]->GetBin(p,e))
+ * fReEBE[0][0][0]->GetBinEntries(fReEBE[0][0][0]->GetBin(p,e));
+ p1n0kIm = fImEBE[0][0][0]->GetBinContent(fImEBE[0][0][0]->GetBin(p,e))
+ * fImEBE[0][0][0]->GetBinEntries(fImEBE[0][0][0]->GetBin(p,e));
+
+ mp = fReEBE[0][0][0]->GetBinEntries(fReEBE[0][0][0]->GetBin(p,e));
+
+ // q_{m*n,k}:
+ q1n2kRe = fReEBE[0][0][2]->GetBinContent(fReEBE[0][0][2]->GetBin(p,e))
+ * fReEBE[0][0][2]->GetBinEntries(fReEBE[0][0][2]->GetBin(p,e));
+ q1n2kIm = fImEBE[0][0][2]->GetBinContent(fImEBE[0][0][2]->GetBin(p,e))
+ * fImEBE[0][0][2]->GetBinEntries(fImEBE[0][0][2]->GetBin(p,e));
+ q2n1kRe = fReEBE[0][1][1]->GetBinContent(fReEBE[0][1][1]->GetBin(p,e))
+ * fReEBE[0][1][1]->GetBinEntries(fReEBE[0][1][1]->GetBin(p,e));
+ q2n1kIm = fImEBE[0][1][1]->GetBinContent(fImEBE[0][1][1]->GetBin(p,e))
+ * fImEBE[0][1][1]->GetBinEntries(fImEBE[0][1][1]->GetBin(p,e));
+
+ // s_{1,1}, s_{1,2} and s_{1,3} // to be improved (add explanation)
+ s1p1k = pow(fs[0][1]->GetBinContent(fs[0][1]->GetBin(p,e)),1.);
+ s1p2k = pow(fs[0][2]->GetBinContent(fs[0][2]->GetBin(p,e)),1.);
+ s1p3k = pow(fs[0][3]->GetBinContent(fs[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::CalculateWeightedCorrelationsForDifferentialFlow(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() !!!!"<<endl;
+ exit(0);
+ }
+
+ if(!useParticleWeights)
+ {
+ pWeightsFlag = 0;
+ } else
+ {
+ pWeightsFlag = 1;
+ }
+
+ if(eventWeights == "exact")
+ {
+ eWeightsFlag = 0;
+ }
+
+ // shortcuts:
+ Int_t t = typeFlag;
+ Int_t pW = pWeightsFlag;
+ Int_t eW = eWeightsFlag;
+
+ // from 2D histogram fNonEmptyBins2D make two 1D histograms fNonEmptyBins1D in pt and eta (to be improved (i.e. moved somewhere else))
+ // pt:
+ for(Int_t p=1;p<fnBinsPt;p++)
+ {
+ Double_t contentPt = 0.;
+ for(Int_t e=1;e<=fnBinsEta;e++)
+ {
+ contentPt += (fNonEmptyBins2D[t]->GetBinContent(fNonEmptyBins2D[t]->GetBin(p,e)));
+ }
+ fNonEmptyBins1D[t][0]->SetBinContent(p,contentPt);
+ }
+ // eta:
+ for(Int_t e=1;e<fnBinsEta;e++)
+ {
+ Double_t contentEta = 0.;
+ for(Int_t p=1;p<=fnBinsPt;p++)
+ {
+ contentEta += (fNonEmptyBins2D[t]->GetBinContent(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::CalculateCumulantsForDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights)
+{
+ // 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 ...
+
+ 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::CCFDF() !!!!"<<endl;
+ exit(0);
+ }
+
+ if(!useParticleWeights)
+ {
+ pWeightsFlag = 0;
+ } else
+ {
+ pWeightsFlag = 1;
+ }
+
+ if(eventWeights == "exact")
+ {
+ eWeightsFlag = 0;
+ }
+
+ // shortcuts:
+ Int_t t = typeFlag;
+ Int_t pW = pWeightsFlag;
+ Int_t eW = eWeightsFlag;
+
+ // correlation <<2>>:
+ Double_t two = fQCorrelations[pW][eW]->GetBinContent(1);
+
+ // 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++)
+
+ // 1D (pt):
+ // to be improved (see documentation if I can do all this without looping)
+ // to be improved (treat pt and eta in one go)
+ // to be improved (combine loops over nua for 2D and 1D)
+ for(Int_t p=1;p<=fnBinsPt;p++)
+ {
+ // reduced correlations:
+ Double_t twoPrime = fFinalCorrelations1D[t][pW][eW][0][0]->GetBinContent(p); // <<2'>>(pt)
+ Double_t fourPrime = fFinalCorrelations1D[t][pW][eW][0][1]->GetBinContent(p); // <<4'>>(pt)
+ // spread of reduced correlations:
+ Double_t twoPrimeError = fFinalCorrelations1D[t][pW][eW][0][0]->GetBinError(p); // sigma_2'/sqrt{N_2'}(pt)
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ // QC{2'}:
+ Double_t qc2Prime = twoPrime; // QC{2'}
+ Double_t qc2PrimeError = twoPrimeError; // sigma_{d_n{2}}/sqrt{N_2'} // to be improved
+ fFinalCumulantsPt[t][pW][eW][nua][0]->SetBinContent(p,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>>
+ fFinalCumulantsPt[t][pW][eW][nua][1]->SetBinContent(p,qc4Prime);
+ } // end of for(Int_t nua=0;nua<2;nua++)
+ } // end of for(Int_t p=1;p<=fnBinsPt;p++)
+
+
+ // 1D (eta):
+ // to be improved (see documentation if I can do all this without looping)
+ // to be improved (treat pt and eta in one go)
+ // to be improved (combine loops over nua for 2D and 1D)
+ for(Int_t e=1;e<=fnBinsEta;e++)
+ {
+ // reduced correlations:
+ Double_t twoPrime = fFinalCorrelations1D[t][pW][eW][1][0]->GetBinContent(e); // <<2'>>(eta)
+ Double_t fourPrime = fFinalCorrelations1D[t][pW][eW][1][1]->GetBinContent(e); // <<4'>>(eta)
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ // QC{2'}:
+ Double_t qc2Prime = twoPrime; // QC{2'}
+ fFinalCumulantsEta[t][pW][eW][nua][0]->SetBinContent(e,qc2Prime);
+ // QC{4'}:
+ Double_t qc4Prime = fourPrime - 2.*twoPrime*two; // QC{4'} = <<4'>> - 2*<<2'>><<2>>
+ fFinalCumulantsEta[t][pW][eW][nua][1]->SetBinContent(e,qc4Prime);
+ } // end of for(Int_t nua=0;nua<2;nua++)
+ } // end of for(Int_t e=1;e<=fnBinsEta;e++)
+
+
+} // end of void AliFlowAnalysisWithQCumulants::CalculateCumulantsForDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights);
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights)
+{
+ // calculate differential flow from differential cumulants and previously obtained integrated flow:
+
+ 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::CDF() !!!!"<<endl;
+ exit(0);
+ }
+
+ if(!useParticleWeights)
+ {
+ pWeightsFlag = 0;
+ } else
+ {
+ pWeightsFlag = 1;
+ }
+
+ if(eventWeights == "exact")
+ {
+ eWeightsFlag = 0;
+ }
+
+ // shortcuts:
+ Int_t t = typeFlag;
+ Int_t pW = pWeightsFlag;
+ Int_t eW = eWeightsFlag;
+
+ // integrated flow:
+ Double_t v2 = 0.;
+ Double_t v4 = 0.;
+
+ if(pW == 0)
+ {
+ v2 = fIntFlow[pW][eW][1]->GetBinContent(1);
+ v4 = fIntFlow[pW][eW][1]->GetBinContent(2);
+ }
+
+ if(pW == 1)
+ {
+ v2 = fIntFlow[pW][eW][0]->GetBinContent(1);
+ v4 = fIntFlow[pW][eW][0]->GetBinContent(2);
+ }
+
+ // 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++)
+
+ // 1D (pt): // to be improved (combined with eta, combined nua loop with 2D)
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ for(Int_t p=1;p<=fnBinsPt;p++)
+ {
+ // differential cumulants:
+ Double_t qc2Prime = fFinalCumulantsPt[t][pW][eW][nua][0]->GetBinContent(p); // QC{2'}
+ Double_t qc4Prime = fFinalCumulantsPt[t][pW][eW][nua][1]->GetBinContent(p); // QC{4'}
+ // differential flow:
+ Double_t v2Prime = 0.;
+ Double_t v4Prime = 0.;
+ if(v2)
+ {
+ v2Prime = qc2Prime/v2;
+ fFinalFlowPt[t][pW][eW][nua][0]->SetBinContent(p,v2Prime);
+ }
+ if(v4)
+ {
+ v4Prime = -qc4Prime/pow(v4,3.);
+ fFinalFlowPt[t][pW][eW][nua][1]->SetBinContent(p,v4Prime);
+ }
+ } // end of for(Int_t p=1;p<=fnBinsPt;p++)
+ } // end of for(Int_t nua=0;nua<2;nua++)
+
+ // 1D (eta): // to be improved (combined with pt, combined nua loop with 2D)
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ for(Int_t e=1;e<=fnBinsEta;e++)
+ {
+ // differential cumulants:
+ Double_t qc2Prime = fFinalCumulantsEta[t][pW][eW][nua][0]->GetBinContent(e); // QC{2'}
+ Double_t qc4Prime = fFinalCumulantsEta[t][pW][eW][nua][1]->GetBinContent(e); // QC{4'}
+ // differential flow:
+ Double_t v2Prime = 0.;
+ Double_t v4Prime = 0.;
+ if(v2)
+ {
+ v2Prime = qc2Prime/v2;
+ fFinalFlowEta[t][pW][eW][nua][0]->SetBinContent(e,v2Prime);
+ }
+ if(v4)
+ {
+ v4Prime = -qc4Prime/pow(v4,3.);
+ fFinalFlowEta[t][pW][eW][nua][1]->SetBinContent(e,v4Prime);
+ }
+ } // end of for(Int_t e=1;e<=fnBinsEta;e++)
+ } // end of for(Int_t nua=0;nua<2;nua++)
+
+} // end of AliFlowAnalysisWithQCumulants::CalculateDiffFlow(TString type, Bool_t useParticleWeights)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::CalculateFinalResultsForRPandPOIIntegratedFlow(TString type, Bool_t useParticleWeights, TString eventWeights)
+{
+ // calculate final results for integrated flow of RPs and POIs
+
+ 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::CDF() !!!!"<<endl;
+ exit(0);
+ }
+
+ if(!useParticleWeights)
+ {
+ pWeightsFlag = 0;
+ } else
+ {
+ pWeightsFlag = 1;
+ }
+
+ if(eventWeights == "exact")
+ {
+ eWeightsFlag = 0;
+ }
+
+ // shortcuts:
+ Int_t t = typeFlag;
+ Int_t pW = pWeightsFlag;
+ Int_t eW = eWeightsFlag;
+
+ // pt yield:
+ TH1F *yield2ndPt = NULL;
+ TH1F *yield4thPt = NULL;
+ TH1F *yield6thPt = NULL;
+ TH1F *yield8thPt = NULL;
+
+ if(type == "POI")
+ {
+ yield2ndPt = (TH1F*)(fCommonHists2nd->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 improve (nua = 0 is hardwired)
+ flow2ndPt = (TH1D*)fFinalFlowPt[t][pW][eW][0][0]->Clone();
+ flow4thPt = (TH1D*)fFinalFlowPt[t][pW][eW][0][1]->Clone();
+ flow6thPt = (TH1D*)fFinalFlowPt[t][pW][eW][0][2]->Clone();
+ flow8thPt = (TH1D*)fFinalFlowPt[t][pW][eW][0][3]->Clone();
+
+ Double_t dvn2nd = 0., dvn4th = 0., dvn6th = 0., dvn8th = 0.; // differential flow
+ Double_t dVn2nd = 0., dVn4th = 0., dVn6th = 0., dVn8th = 0.; // integrated flow
+ //Double_t dSd2nd = 0., dSd4th = 0., dSd6th = 0., dSd8th = 0.; // error on integrated flow (to be improved - calculation needed)
+
+ 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;p<nBinsPt+1;p++)
+ {
+ dvn2nd = flow2ndPt->GetBinContent(p);
+ dvn4th = flow4thPt->GetBinContent(p);
+ dvn6th = flow6thPt->GetBinContent(p);
+ dvn8th = flow8thPt->GetBinContent(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;
+
+ // ... to be improved - errors needed to be calculated
+
+ } // end of for(Int_t p=1;p<nBinsPt+1;p++)
+
+ // normalizing the results for integrated flow:
+
+
+
+
+
+ if(dSum2nd) dVn2nd/=dSum2nd;
+ if(dSum4th) dVn4th/=dSum4th;
+ //if(dSum6th) dVn6th/=dSum6th;
+ //if(dSum8th) dVn8th/=dSum8th;
+
+ /*
+ // storing the results for integrated flow:
+ if(!(useParticleWeights))
+ {
+ if(type == "POI")
+ {
+ // 2nd:
+ fIntFlowResultsPOIQC->SetBinContent(1,dVn2nd);
+ fIntFlowResultsPOIQC->SetBinError(1,dSd2nd);
+ // 4th:
+ fIntFlowResultsPOIQC->SetBinContent(2,dVn4th);
+ fIntFlowResultsPOIQC->SetBinError(2,dSd4th);
+ // 6th:
+ fIntFlowResultsPOIQC->SetBinContent(3,dVn6th);
+ fIntFlowResultsPOIQC->SetBinError(3,dSd6th);
+ // 8th:
+ fIntFlowResultsPOIQC->SetBinContent(4,dVn8th);
+ fIntFlowResultsPOIQC->SetBinError(4,dSd8th);
+ }
+ else if (type == "RP")
+ {
+ // 2nd:
+ fIntFlowResultsRPQC->SetBinContent(1,dVn2nd);
+ fIntFlowResultsRPQC->SetBinError(1,dSd2nd);
+ // 4th:
+ fIntFlowResultsRPQC->SetBinContent(2,dVn4th);
+ fIntFlowResultsRPQC->SetBinError(2,dSd4th);
+ // 6th:
+ fIntFlowResultsRPQC->SetBinContent(3,dVn6th);
+ fIntFlowResultsRPQC->SetBinError(3,dSd6th);
+ // 8th:
+ fIntFlowResultsRPQC->SetBinContent(4,dVn8th);
+ fIntFlowResultsRPQC->SetBinError(4,dSd8th);
+ }
+ }
+ else if (useParticleWeights)
+ {
+ if(type == "POI")
+ {
+ // 2nd:
+ fIntFlowResultsPOIQCW->SetBinContent(1,dVn2nd);
+ fIntFlowResultsPOIQCW->SetBinError(1,dSd2nd);
+ // 4th:
+ fIntFlowResultsPOIQCW->SetBinContent(2,dVn4th);
+ fIntFlowResultsPOIQCW->SetBinError(2,dSd4th);
+ // 6th:
+ fIntFlowResultsPOIQCW->SetBinContent(3,dVn6th);
+ fIntFlowResultsPOIQCW->SetBinError(3,dSd6th);
+ // 8th:
+ fIntFlowResultsPOIQCW->SetBinContent(4,dVn8th);
+ fIntFlowResultsPOIQCW->SetBinError(4,dSd8th);
+ }
+ else if (type == "RP")
+ {
+ // 2nd:
+ fIntFlowResultsRPQCW->SetBinContent(1,dVn2nd);
+ fIntFlowResultsRPQCW->SetBinError(1,dSd2nd);
+ // 4th:
+ fIntFlowResultsRPQCW->SetBinContent(2,dVn4th);
+ fIntFlowResultsRPQCW->SetBinError(2,dSd4th);
+ // 6th:
+ fIntFlowResultsRPQCW->SetBinContent(3,dVn6th);
+ fIntFlowResultsRPQCW->SetBinError(3,dSd6th);
+ // 8th:
+ fIntFlowResultsRPQCW->SetBinContent(4,dVn8th);
+ fIntFlowResultsRPQCW->SetBinError(4,dSd8th);
+ }
+ }
+ */
+
+ // storing the results for integrated flow in common histos:
+ // to be improved - now they are being filled twice ...
+ if(type == "POI")
+ {
+ fCommonHistsResults2nd->FillIntegratedFlowPOI(dVn2nd,0.); // to be improved (errors)
+ fCommonHistsResults4th->FillIntegratedFlowPOI(dVn4th,0.); // to be improved (errors)
+ fCommonHistsResults6th->FillIntegratedFlowPOI(dVn6th,0.); // to be improved (errors)
+ fCommonHistsResults8th->FillIntegratedFlowPOI(dVn8th,0.); // to be improved (errors)
+ }
+ else if (type == "RP")
+ {
+ fCommonHistsResults2nd->FillIntegratedFlowRP(dVn2nd,0.); // to be improved (errors)
+ fCommonHistsResults4th->FillIntegratedFlowRP(dVn4th,0.); // to be improved (errors)
+ 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, Bool_t useParticleWeights, TString eventWeights)
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::InitializeArraysForDistributions()
+{
+ // initialize arrays used for distributions:
+
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++) // non-weighted or weighted
+ {
+ 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 in fHistList
+
+ // booking and nesting:
+ fHistList->Add(fWeightsList);
+
+ fIntFlowList = new TList();
+ fIntFlowList->SetName("Integrated Flow");
+ fIntFlowList->SetOwner(kTRUE);
+ fHistList->Add(fIntFlowList);
+
+ fIntFlowResults = new TList();
+ fIntFlowResults->SetName("Results");
+ fIntFlowResults->SetOwner(kTRUE);
+ fIntFlowList->Add(fIntFlowResults);
+
+ fIntFlowProfiles = new TList();
+ fIntFlowProfiles->SetName("Profiles");
+ fIntFlowProfiles->SetOwner(kTRUE);
+ fIntFlowList->Add(fIntFlowProfiles);
+
+ fDiffFlowList = new TList();
+ fDiffFlowList->SetName("Differential Flow");
+ fDiffFlowList->SetOwner(kTRUE);
+ fHistList->Add(fDiffFlowList);
+
+ fDiffFlowProfiles = new TList();
+ fDiffFlowProfiles->SetName("Profiles");
+ fDiffFlowProfiles->SetOwner(kTRUE);
+ fDiffFlowList->Add(fDiffFlowProfiles);
+
+ fDiffFlowResults = new TList();
+ fDiffFlowResults->SetName("Results");
+ fDiffFlowResults->SetOwner(kTRUE);
+ fDiffFlowList->Add(fDiffFlowResults);
+
+ fDistributionsList = new TList();
+ fDistributionsList->SetName("Distributions");
+ fDistributionsList->SetOwner(kTRUE);
+ fHistList->Add(fDistributionsList);
+
+ fNestedLoopsList = new TList();
+ fNestedLoopsList->SetName("Nested Loops");
+ fNestedLoopsList->SetOwner(kTRUE);
+ fHistList->Add(fNestedLoopsList);
+
+ // flags for naming nested lists:
+ TList list;
+ list.SetOwner(kTRUE);
+ TString typeFlag[2] = {"RP","POI"};
+ TString pWeightsFlag[2] = {"not used","used"};
+ TString eWeightsFlag[2] = {"exact","non-exact"};
+ TString nuaFlag[2] = {"not corrected","corrected"}; // nua = non-uniform acceptance
+ TString sinCosFlag[2] = {"sin","cos"};
+
+ // nested lists in fDiffFlowProfiles (Differential Flow/Profiles):
+ for(Int_t t=0;t<2;t++) // type: RP or POI
+ {
+ fDFPType[t] = (TList*)list.Clone();
+ fDFPType[t]->SetName(Form("%s",typeFlag[t].Data()));
+ fDiffFlowProfiles->Add(fDFPType[t]);
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++) // weights: not used or used
+ {
+ fDFPParticleWeights[t][pW] = (TList*)list.Clone();
+ fDFPParticleWeights[t][pW]->SetName(Form("%s, pWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data()));
+ fDFPType[t]->Add(fDFPParticleWeights[t][pW]);
+ for(Int_t eW=0;eW<2;eW++)
+ {
+ fDFPEventWeights[t][pW][eW] = (TList*)list.Clone();
+ fDFPEventWeights[t][pW][eW]->SetName(Form("%s, pWeights %s, eWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDFPParticleWeights[t][pW]->Add(fDFPEventWeights[t][pW][eW]);
+ // correlations:
+ fDiffFlowCorrelations[t][pW][eW] = (TList*)list.Clone();
+ fDiffFlowCorrelations[t][pW][eW]->SetName(Form("Correlations (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDFPEventWeights[t][pW][eW]->Add(fDiffFlowCorrelations[t][pW][eW]);
+ // products of correlations:
+ fDiffFlowProductsOfCorrelations[t][pW][eW] = (TList*)list.Clone();
+ fDiffFlowProductsOfCorrelations[t][pW][eW]->SetName(Form("Products of correlations (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDFPEventWeights[t][pW][eW]->Add(fDiffFlowProductsOfCorrelations[t][pW][eW]);
+ // correction terms:
+ for(Int_t sc=0;sc<2;sc++) // corrections for NUA: sin or cos terms
+ {
+ fDiffFlowCorrectionTerms[t][pW][eW][sc] = (TList*)list.Clone();
+ fDiffFlowCorrectionTerms[t][pW][eW][sc]->SetName(Form("Corrections for NUA (%s, pWeights %s, eWeights %s, %s terms)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),sinCosFlag[sc].Data()));
+ fDFPEventWeights[t][pW][eW]->Add(fDiffFlowCorrectionTerms[t][pW][eW][sc]);
+ }
+ }
+ }
+ }
+
+ // nested lists in fDiffFlowResults (Differential Flow/Results):
+ for(Int_t t=0;t<2;t++) // RP or POI
+ {
+ fDFRType[t] = (TList*)list.Clone();
+ fDFRType[t]->SetName(Form("%s",typeFlag[t].Data()));
+ fDiffFlowResults->Add(fDFRType[t]);
+ for(Int_t pW=0;pW<1+(Int_t)(fUsePhiWeights||fUsePtWeights||fUseEtaWeights);pW++) // particle weights not used or used
+ {
+ fDFRParticleWeights[t][pW] = (TList*)list.Clone();
+ fDFRParticleWeights[t][pW]->SetName(Form("%s, pWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data()));
+ fDFRType[t]->Add(fDFRParticleWeights[t][pW]);
+ for(Int_t eW=0;eW<2;eW++) // event weights: exact ot non-exact // to be improved (terminology)
+ {
+ fDFREventWeights[t][pW][eW] = (TList*)list.Clone();
+ fDFREventWeights[t][pW][eW]->SetName(Form("%s, pWeights %s, eWeights %s",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDFRParticleWeights[t][pW]->Add(fDFREventWeights[t][pW][eW]);
+ // final correlations:
+ fDiffFlowFinalCorrelations[t][pW][eW] = (TList*)list.Clone();
+ fDiffFlowFinalCorrelations[t][pW][eW]->SetName(Form("Correlations (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDFREventWeights[t][pW][eW]->Add(fDiffFlowFinalCorrelations[t][pW][eW]);
+ // final covariances:
+ fDiffFlowFinalCovariances[t][pW][eW] = (TList*)list.Clone();
+ fDiffFlowFinalCovariances[t][pW][eW]->SetName(Form("Covariances (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDFREventWeights[t][pW][eW]->Add(fDiffFlowFinalCovariances[t][pW][eW]);
+ // final corrections:
+ fDiffFlowFinalCorrections[t][pW][eW] = (TList*)list.Clone();
+ fDiffFlowFinalCorrections[t][pW][eW]->SetName(Form("Corrections (%s, pWeights %s, eWeights %s)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data()));
+ fDFREventWeights[t][pW][eW]->Add(fDiffFlowFinalCorrections[t][pW][eW]);
+ for(Int_t nua=0;nua<2;nua++)
+ {
+ fDFRCorrections[t][pW][eW][nua] = (TList*)list.Clone();
+ fDFRCorrections[t][pW][eW][nua]->SetName(Form("%s, pWeights %s, eWeights %s, %s for NUA",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDFREventWeights[t][pW][eW]->Add(fDFRCorrections[t][pW][eW][nua]);
+ // final cumulants:
+ fDiffFlowFinalCumulants[t][pW][eW][nua] = (TList*)list.Clone();
+ fDiffFlowFinalCumulants[t][pW][eW][nua]->SetName(Form("Cumulants (%s, pWeights %s, eWeights %s, %s for NUA)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDFRCorrections[t][pW][eW][nua]->Add(fDiffFlowFinalCumulants[t][pW][eW][nua]);
+ // final differential flow:
+ fDiffFlowFinalFlow[t][pW][eW][nua] = (TList*)list.Clone();
+ fDiffFlowFinalFlow[t][pW][eW][nua]->SetName(Form("Differential Flow (%s, pWeights %s, eWeights %s, %s for NUA)",typeFlag[t].Data(),pWeightsFlag[pW].Data(),eWeightsFlag[eW].Data(),nuaFlag[nua].Data()));
+ fDFRCorrections[t][pW][eW][nua]->Add(fDiffFlowFinalFlow[t][pW][eW][nua]);
+ }
+ }
+ }
+ }
+
+} // end of void AliFlowAnalysisWithQCumulants::BookAndNestAllLists()
+
+
+//================================================================================================================================
+
+
+void AliFlowAnalysisWithQCumulants::FillCommonHistResultsDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights, Bool_t correctedForNUA)
+{
+ // fill common result histograms for differential flow
+
+ // shortcuts for the flags:
+ Int_t t = 0; // 0=RP, 1=POI
+ Int_t pW = (Int_t)(useParticleWeights); // 0=weights not useed, 1=weights used
+ Int_t eW = -1;
+ Int_t nua = (Int_t)(correctedForNUA); // 0=not corrected for NUA, 1=corrected for NUA
+
+ if(type == "POI")
+ {
+ t = 1;
+ }
+
+ if(eventWeights == "exact")
+ {
+ eW = 0;
+ }
+
+ for(Int_t o=0;o<4;o++) // order
+ {
+ if(!fFinalFlowPt[t][pW][eW][nua][o])
+ {
+ cout<<"WARNING: fFinalFlowPt[t][pW][eW][nua][o] is NULL in AFAWQC::FCHRIF() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"o = "<<o<<endl;
+ exit(0);
+ }
+ if(!fFinalFlowEta[t][pW][eW][nua][o])
+ {
+ cout<<"WARNING: fFinalFlowEta[t][pW][eW][nua][o] is NULL in AFAWQC::FCHRIF() !!!!"<<endl;
+ cout<<"t = "<<t<<endl;
+ cout<<"pW = "<<pW<<endl;
+ cout<<"eW = "<<eW<<endl;
+ cout<<"nua = "<<nua<<endl;
+ cout<<"o = "<<o<<endl;
+ exit(0);
+ }
+ }
+
+ if(!(fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th))
+ {
+ cout<<"WARNING: fCommonHistsResults2nd && fCommonHistsResults4th && fCommonHistsResults6th && fCommonHistsResults8th"<<endl;
+ cout<<" is NULL in AFAWQC::FCHRIF() !!!!"<<endl;
+ exit(0);
+ }
+
+ // pt:
+ for(Int_t p=1;p<=fnBinsPt;p++)
+ {
+ Double_t v2 = fFinalFlowPt[t][pW][eW][nua][0]->GetBinContent(p);
+ Double_t v4 = fFinalFlowPt[t][pW][eW][nua][1]->GetBinContent(p);
+ Double_t v6 = fFinalFlowPt[t][pW][eW][nua][2]->GetBinContent(p);
+ Double_t v8 = fFinalFlowPt[t][pW][eW][nua][3]->GetBinContent(p);
+
+ //Double_t v2Error = fFinalFlow1D[t][pW][nua][0][0]->GetBinError(p);
+ //Double_t v4Error = fFinalFlow1D[t][pW][nua][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,v2,0.);
+ fCommonHistsResults4th->FillDifferentialFlowPtRP(p,v4,0.);
+ fCommonHistsResults6th->FillDifferentialFlowPtRP(p,v6,0.);
+ fCommonHistsResults8th->FillDifferentialFlowPtRP(p,v8,0.);
+ } else if(type == "POI")
+ {
+ fCommonHistsResults2nd->FillDifferentialFlowPtPOI(p,v2,0.);
+ fCommonHistsResults4th->FillDifferentialFlowPtPOI(p,v4,0.);
+ 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 = fFinalFlowEta[t][pW][eW][nua][0]->GetBinContent(e);
+ Double_t v4 = fFinalFlowEta[t][pW][eW][nua][1]->GetBinContent(e);
+ Double_t v6 = fFinalFlowEta[t][pW][eW][nua][2]->GetBinContent(e);
+ Double_t v8 = fFinalFlowEta[t][pW][eW][nua][3]->GetBinContent(e);
+
+ //Double_t v2Error = fFinalFlow1D[t][pW][nua][1][0]->GetBinError(e);
+ //Double_t v4Error = fFinalFlow1D[t][pW][nua][1][1]->GetBinError(e);
+ //Double_t v6Error = fFinalFlow1D[t][pW][nua][1][2]->GetBinError(e);
+ //Double_t v8Error = fFinalFlow1D[t][pW][nua][1][3]->GetBinError(e);
+
+ if(type == "RP")
+ {
+ fCommonHistsResults2nd->FillDifferentialFlowEtaRP(e,v2,0.);
+ fCommonHistsResults4th->FillDifferentialFlowEtaRP(e,v4,0.);
+ fCommonHistsResults6th->FillDifferentialFlowEtaRP(e,v6,0.);
+ fCommonHistsResults8th->FillDifferentialFlowEtaRP(e,v8,0.);
+ } else if(type == "POI")
+ {
+ fCommonHistsResults2nd->FillDifferentialFlowEtaPOI(e,v2,0.);
+ fCommonHistsResults4th->FillDifferentialFlowEtaPOI(e,v4,0.);
+ 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::CalculateSumAndProductOfEventWeights()
+{
+ // 1.) calculate sum of linear and quadratic event weights;
+ // 2.) calculate products of event weights
+
+ Double_t dMult = (*fSMpk)(0,0); // multiplicity (number of particles used to determine the reaction plane)
+
+ 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++)
+ {
+ for(Int_t c=0;c<4;c++)
+ {
+ fSumOfEventWeights[0][0][p]->Fill(c+0.5,pow(eventWeight[c],p+1));
+ }
+ }
+
+ // to be improved (hardwired pW and eW):
+ fProductOfEventWeights[0][0]->Fill(0.5,eventWeight[0]*eventWeight[1]);
+ fProductOfEventWeights[0][0]->Fill(1.5,eventWeight[0]*eventWeight[2]);
+ fProductOfEventWeights[0][0]->Fill(2.5,eventWeight[0]*eventWeight[3]);
+ fProductOfEventWeights[0][0]->Fill(3.5,eventWeight[1]*eventWeight[2]);
+ fProductOfEventWeights[0][0]->Fill(4.5,eventWeight[1]*eventWeight[3]);
+ fProductOfEventWeights[0][0]->Fill(5.5,eventWeight[2]*eventWeight[3]);
+
+} // end of void AliFlowAnalysisWithQCumulants::CalculateSumAndProductOfEventWeights()
+//================================================================================================================================
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff