PWG2/FLOW/AliFlowCommon/AliFlowAnalysisWithQCumulants.h

   1 /*
   2  * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved.
   3  * See cxx source for full Copyright notice
   4  * $Id$
   5  */
   6
   7 /**********************************
   8  * flow analysis with Q-cumulants *
   9  *                                *
  10  * author: Ante Bilandzic         *
  11  *        (abilandzic@gmail.com)  *
  12  *********************************/
  13
  14 #ifndef ALIFLOWANALYSISWITHQCUMULANTS_H
  15 #define ALIFLOWANALYSISWITHQCUMULANTS_H
  16
  17 #include "AliFlowCommonConstants.h" // needed as include
  18 #include "TMatrixD.h"
  19 #include "TH2D.h"
  20 #include "TBits.h"
  21
  22 class TObjArray;
  23 class TList;
  24 class TFile;
  25 class TGraph;
  26
  27 class TH1;
  28 class TProfile;
  29 class TProfile2D;
  30 class TDirectoryFile;
  31
  32 class AliFlowEventSimple;
  33 class AliFlowVector;
  34
  35 class AliFlowCommonHist;
  36 class AliFlowCommonHistResults;
  37
  38 //================================================================================================================
  39
  40 class AliFlowAnalysisWithQCumulants{
  41  public:
  42   AliFlowAnalysisWithQCumulants();
  43   virtual ~AliFlowAnalysisWithQCumulants();
  44   // 0.) methods called in the constructor:
  45   virtual void InitializeArraysForIntFlow();
  46   virtual void InitializeArraysForDiffFlow();
  47   virtual void InitializeArraysForDistributions();
  48   virtual void InitializeArraysForVarious();
  49   virtual void InitializeArraysForNestedLoops();
  50   // 1.) method Init() and methods called within Init():
  51   virtual void Init();
  52     virtual void CrossCheckSettings();
  53     virtual void AccessConstants();
  54     virtual void BookAndNestAllLists();
  55     virtual void BookCommonHistograms();
  56     virtual void BookAndFillWeightsHistograms();
  57     virtual void BookEverythingForIntegratedFlow();
  58     virtual void BookEverythingForDifferentialFlow();
  59     virtual void BookEverythingForDistributions();
  60     virtual void BookEverythingForVarious();
  61     virtual void BookEverythingForNestedLoops();
  62     virtual void StoreIntFlowFlags();
  63     virtual void StoreDiffFlowFlags();
  64     virtual void StoreFlagsForDistributions();
  65     virtual void StoreHarmonic();
  66   // 2.) method Make() and methods called within Make():
  67   virtual void Make(AliFlowEventSimple *anEvent);
  68     // 2a.) common:
  69     virtual void CheckPointersUsedInMake();
  70     virtual void FillAverageMultiplicities(Int_t nRP);
  71     virtual void FillCommonControlHistograms(AliFlowEventSimple *anEvent);
  72     virtual void ResetEventByEventQuantities();
  73     // 2b.) integrated flow:
  74     virtual void CalculateIntFlowCorrelations();
  75     virtual void CalculateIntFlowCorrelationsUsingParticleWeights();
  76     virtual void CalculateIntFlowProductOfCorrelations();
  77     virtual void CalculateIntFlowSumOfEventWeights();
  78     virtual void CalculateIntFlowSumOfProductOfEventWeights();
  79     virtual void CalculateIntFlowCorrectionsForNUACosTerms();
  80     virtual void CalculateIntFlowCorrectionsForNUACosTermsUsingParticleWeights();
  81     virtual void CalculateIntFlowCorrectionsForNUASinTerms();
  82     virtual void CalculateIntFlowCorrectionsForNUASinTermsUsingParticleWeights();
  83     virtual void CalculateIntFlowProductOfCorrectionTermsForNUA();
  84     virtual void CalculateIntFlowSumOfEventWeightsNUA();
  85     virtual void CalculateIntFlowSumOfProductOfEventWeightsNUA();
  86     // ...
  87     virtual void EvaluateIntFlowCorrelationsWithNestedLoops(AliFlowEventSimple* const anEvent);
  88     virtual void EvaluateIntFlowCorrelationsWithNestedLoopsUsingParticleWeights(AliFlowEventSimple* const anEvent);
  89     virtual void EvaluateIntFlowCorrectionsForNUAWithNestedLoops(AliFlowEventSimple* const anEvent);
  90     virtual void EvaluateIntFlowCorrectionsForNUAWithNestedLoopsUsingParticleWeights(AliFlowEventSimple* const anEvent);
  91     // 2c.) differential flow:
  92     virtual void CalculateDiffFlowCorrelations(TString type, TString ptOrEta); // type = RP or POI
  93     virtual void CalculateDiffFlowCorrelationsUsingParticleWeights(TString type, TString ptOrEta); // type = RP or POI
  94     virtual void CalculateDiffFlowProductOfCorrelations(TString type, TString ptOrEta); // type = RP or POI
  95     virtual void CalculateDiffFlowSumOfEventWeights(TString type, TString ptOrEta); // type = RP or POI
  96     virtual void CalculateDiffFlowSumOfProductOfEventWeights(TString type, TString ptOrEta); // type = RP or POI
  97     virtual void CalculateDiffFlowCorrectionsForNUACosTerms(TString type, TString ptOrEta);
  98     virtual void CalculateDiffFlowCorrectionsForNUACosTermsUsingParticleWeights(TString type, TString ptOrEta);
  99     virtual void CalculateDiffFlowCorrectionsForNUASinTerms(TString type, TString ptOrEta);
 100     virtual void CalculateDiffFlowCorrectionsForNUASinTermsUsingParticleWeights(TString type, TString ptOrEta);
 101     // ...
 102     //virtual void CalculateCorrelationsForDifferentialFlow2D(TString type); // type = RP or POI
 103     virtual void EvaluateDiffFlowCorrelationsWithNestedLoops(AliFlowEventSimple* const anEvent, TString type, TString ptOrEta);
 104     virtual void EvaluateDiffFlowCorrelationsWithNestedLoopsUsingParticleWeights(AliFlowEventSimple* const anEvent, TString type, TString ptOrEta);
 105     virtual void EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoops(AliFlowEventSimple* const anEvent, TString type, TString ptOrEta);
 106     virtual void EvaluateDiffFlowCorrectionTermsForNUAWithNestedLoopsUsingParticleWeights(AliFlowEventSimple* const anEvent, TString type, TString ptOrEta);
 107     // 2d.) distributions of correlations:
 108     virtual void StoreDistributionsOfCorrelations();
 109     // 2e.) store phi distibution for one event to vizualize flow:
 110     virtual void StorePhiDistributionForOneEvent(AliFlowEventSimple* const anEvent);
 111   // 3.) method Finish() and methods called within Finish():
 112   virtual void Finish();
 113     virtual void CheckPointersUsedInFinish();
 114     // 3a.) integrated flow:
 115     virtual void FinalizeCorrelationsIntFlow();
 116     virtual void FinalizeCorrectionTermsForNUAIntFlow();
 117     virtual void CalculateCovariancesIntFlow();
 118     virtual void CalculateCovariancesNUAIntFlow();
 119     virtual void CalculateCumulantsIntFlow();
 120     virtual void CalculateReferenceFlow();
 121     virtual void FillCommonHistResultsIntFlow();
 122     // nua:
 123     virtual void CalculateQcumulantsCorrectedForNUAIntFlow();
 124     virtual void PrintFinalResultsForIntegratedFlow(TString type);
 125     virtual void CrossCheckIntFlowCorrelations();
 126     virtual void CrossCheckIntFlowExtraCorrelations(); // extra correlations which appear only when particle weights are used
 127     virtual void CrossCheckIntFlowCorrectionTermsForNUA();
 128     // 3b.) differential flow:
 129     virtual void FinalizeReducedCorrelations(TString type, TString ptOrEta);
 130     virtual void CalculateDiffFlowCovariances(TString type, TString ptOrEta);
 131     virtual void CalculateDiffFlowCumulants(TString type, TString ptOrEta);
 132     virtual void CalculateDiffFlow(TString type, TString ptOrEta);
 133     virtual void FinalizeCorrectionTermsForNUADiffFlow(TString type, TString ptOrEta);
 134     virtual void CalculateDiffFlowCumulantsCorrectedForNUA(TString type, TString ptOrEta);
 135     virtual void CalculateDiffFlowCorrectedForNUA(TString type, TString ptOrEta);
 136     virtual void CalculateFinalResultsForRPandPOIIntegratedFlow(TString type); // to be improved (add also possibility to integrate over eta yield)
 137     virtual void FillCommonHistResultsDiffFlow(TString type);
 138     virtual void CrossCheckDiffFlowCorrelations(TString type, TString ptOrEta);
 139     virtual void PrintNumberOfParticlesInSelectedBin();
 140     virtual void CrossCheckDiffFlowCorrectionTermsForNUA(TString type, TString ptOrEta);
 141
 142     // to be improved (removed):
 143     //virtual void FinalizeCorrelationsForDiffFlow(TString type, Bool_t useParticleWeights, TString eventWeights);
 144
 145   // 4.)  method GetOutputHistograms() and methods called within GetOutputHistograms():
 146   virtual void GetOutputHistograms(TList *outputListHistos);
 147     virtual void GetPointersForCommonHistograms();
 148     virtual void GetPointersForParticleWeightsHistograms();
 149     virtual void GetPointersForIntFlowHistograms();
 150     virtual void GetPointersForDiffFlowHistograms();
 151     virtual void GetPointersForNestedLoopsHistograms();
 152
 153   // 5.) other methods:
 154   TProfile* MakePtProjection(TProfile2D *profilePtEta) const;
 155   TProfile* MakeEtaProjection(TProfile2D *profilePtEta) const;
 156   virtual void WriteHistograms(TString outputFileName);
 157   virtual void WriteHistograms(TDirectoryFile *outputFileName);
 158
 159   // **** SETTERS and GETTERS ****
 160
 161   // 0.) base:
 162   void SetHistList(TList* const hlist) {this->fHistList = hlist;}
 163   TList* GetHistList() const {return this->fHistList;}
 164
 165   // 1.) common:
 166   void SetCommonHists(AliFlowCommonHist* const ch) {this->fCommonHists = ch;};
 167   AliFlowCommonHist* GetCommonHists() const {return this->fCommonHists;};
 168   void SetCommonHists2nd(AliFlowCommonHist* const ch2nd) {this->fCommonHists2nd = ch2nd;};
 169   AliFlowCommonHist* GetCommonHists2nd() const {return this->fCommonHists2nd;};
 170   void SetCommonHists4th(AliFlowCommonHist* const ch4th) {this->fCommonHists4th = ch4th;};
 171   AliFlowCommonHist* GetCommonHists4th() const {return this->fCommonHists4th;};
 172   void SetCommonHists6th(AliFlowCommonHist* const ch6th) {this->fCommonHists6th = ch6th;};
 173   AliFlowCommonHist* GetCommonHists6th() const {return this->fCommonHists6th;};
 174   void SetCommonHists8th(AliFlowCommonHist* const ch8th) {this->fCommonHists8th = ch8th;};
 175   AliFlowCommonHist* GetCommonHists8th() const {return this->fCommonHists8th;};
 176   void SetCommonHistsResults2nd(AliFlowCommonHistResults* const chr2nd) {this->fCommonHistsResults2nd = chr2nd;};
 177   AliFlowCommonHistResults* GetCommonHistsResults2nd() const {return this->fCommonHistsResults2nd;};
 178   void SetCommonHistsResults4th(AliFlowCommonHistResults* const chr4th) {this->fCommonHistsResults4th = chr4th;};
 179   AliFlowCommonHistResults* GetCommonHistsResults4th() const {return this->fCommonHistsResults4th;};
 180   void SetCommonHistsResults6th(AliFlowCommonHistResults* const chr6th) {this->fCommonHistsResults6th = chr6th;};
 181   AliFlowCommonHistResults* GetCommonHistsResults6th() const {return this->fCommonHistsResults6th;};
 182   void SetCommonHistsResults8th(AliFlowCommonHistResults* const chr8th) {this->fCommonHistsResults8th = chr8th;};
 183   AliFlowCommonHistResults* GetCommonHistsResults8th() const {return this->fCommonHistsResults8th;};
 184   void SetHarmonic(Int_t const harmonic) {this->fHarmonic = harmonic;};
 185   Int_t GetHarmonic() const {return this->fHarmonic;};
 186   void SetAnalysisLabel(const char *aLabel) {this->fAnalysisLabel->Append(*aLabel);}; // to be improved (Append(*aLabel) changed into Append(aLabel))
 187   TString *GetAnalysisLabel() const {return this->fAnalysisLabel;};
 188   void SetPrintFinalResults(Bool_t const printOrNot, Int_t const i) {this->fPrintFinalResults[i] = printOrNot;};
 189   Bool_t GetPrintFinalResults(Int_t i) const {return this->fPrintFinalResults[i];};
 190
 191   // 2a.) particle weights:
 192   void SetWeightsList(TList* const wlist) {this->fWeightsList = (TList*)wlist->Clone();}
 193   TList* GetWeightsList() const {return this->fWeightsList;}
 194   void SetUsePhiWeights(Bool_t const uPhiW) {this->fUsePhiWeights = uPhiW;};
 195   Bool_t GetUsePhiWeights() const {return this->fUsePhiWeights;};
 196   void SetUsePtWeights(Bool_t const uPtW) {this->fUsePtWeights = uPtW;};
 197   Bool_t GetUsePtWeights() const {return this->fUsePtWeights;};
 198   void SetUseEtaWeights(Bool_t const uEtaW) {this->fUseEtaWeights = uEtaW;};
 199   Bool_t GetUseEtaWeights() const {return this->fUseEtaWeights;};
 200   void SetUseParticleWeights(TProfile* const uPW) {this->fUseParticleWeights = uPW;};
 201   TProfile* GetUseParticleWeights() const {return this->fUseParticleWeights;};
 202   void SetPhiWeights(TH1F* const histPhiWeights) {this->fPhiWeights = histPhiWeights;};
 203   TH1F* GetPhiWeights() const {return this->fPhiWeights;};
 204   void SetPtWeights(TH1D* const histPtWeights) {this->fPtWeights = histPtWeights;};
 205   TH1D* GetPtWeights() const {return this->fPtWeights;};
 206   void SetEtaWeights(TH1D* const histEtaWeights) {this->fEtaWeights = histEtaWeights;};
 207   TH1D* GetEtaWeights() const {return this->fEtaWeights;};
 208
 209   // 2b.) event weights:
 210   void SetMultiplicityWeight(const char *multiplicityWeight) {*this->fMultiplicityWeight = multiplicityWeight;};
 211
 212   // 3.) Reference flow:
 213   // Flags:
 214   void SetIntFlowFlags(TProfile* const intFlowFlags) {this->fIntFlowFlags = intFlowFlags;};
 215   TProfile* GetIntFlowFlags() const {return this->fIntFlowFlags;};
 216   void SetApplyCorrectionForNUA(Bool_t const applyCorrectionForNUA) {this->fApplyCorrectionForNUA = applyCorrectionForNUA;};
 217   Bool_t GetApplyCorrectionForNUA() const {return this->fApplyCorrectionForNUA;};
 218   void SetApplyCorrectionForNUAVsM(Bool_t const applyCorrectionForNUAVsM) {this->fApplyCorrectionForNUAVsM = applyCorrectionForNUAVsM;};
 219   Bool_t GetApplyCorrectionForNUAVsM() const {return this->fApplyCorrectionForNUAVsM;};
 220   void SetnBinsMult(Int_t const nbm) {this->fnBinsMult = nbm;};
 221   Int_t GetnBinsMult() const {return this->fnBinsMult;};
 222   void SetMinMult(Double_t const minm) {this->fMinMult = minm;};
 223   Double_t GetMinMult() const {return this->fMinMult;};
 224   void SetMaxMult(Double_t const maxm) {this->fMaxMult = maxm;};
 225   Double_t GetMaxMult() const {return this->fMaxMult;};
 226   void SetPropagateErrorAlsoFromNIT(Bool_t const peafNIT) {this->fPropagateErrorAlsoFromNIT = peafNIT;};
 227   Bool_t GetPropagateErrorAlsoFromNIT() const {return this->fPropagateErrorAlsoFromNIT;};
 228   void SetCalculateCumulantsVsM(Bool_t const ccvm) {this->fCalculateCumulantsVsM = ccvm;};
 229   Bool_t GetCalculateCumulantsVsM() const {return this->fCalculateCumulantsVsM;};
 230   void SetMinimumBiasReferenceFlow(Bool_t const mmrf) {this->fMinimumBiasReferenceFlow = mmrf;};
 231   Bool_t GetMinimumBiasReferenceFlow() const {return this->fMinimumBiasReferenceFlow;};
 232   void SetForgetAboutCovariances(Bool_t const fac) {this->fForgetAboutCovariances = fac;};
 233   Bool_t GetForgetAboutCovariances() const {return this->fForgetAboutCovariances;};
 234   void SetStorePhiDistributionForOneEvent(Bool_t const spdfoe) {this->fStorePhiDistributionForOneEvent = spdfoe;};
 235   Bool_t GetStorePhiDistributionForOneEvent() const {return this->fStorePhiDistributionForOneEvent;};
 236   void SetPhiDistributionForOneEventSettings(Double_t const pdfoes, Int_t const i) {this->fPhiDistributionForOneEventSettings[i] = pdfoes;};
 237   Double_t GetPhiDistributionForOneEventSettings(Int_t const i) const {return this->fPhiDistributionForOneEventSettings[i];};
 238
 239   // Reference flow profiles:
 240   void SetAvMultiplicity(TProfile* const avMultiplicity) {this->fAvMultiplicity = avMultiplicity;};
 241   TProfile* GetAvMultiplicity() const {return this->fAvMultiplicity;};
 242   void SetIntFlowCorrelationsPro(TProfile* const intFlowCorrelationsPro) {this->fIntFlowCorrelationsPro = intFlowCorrelationsPro;};
 243   TProfile* GetIntFlowCorrelationsPro() const {return this->fIntFlowCorrelationsPro;};
 244   void SetIntFlowSquaredCorrelationsPro(TProfile* const ifscp) {this->fIntFlowSquaredCorrelationsPro = ifscp;};
 245   TProfile* GetIntFlowSquaredCorrelationsPro() const {return this->fIntFlowSquaredCorrelationsPro;};
 246   void SetIntFlowCorrelationsVsMPro(TProfile* const ifcvp, Int_t const ci) {this->fIntFlowCorrelationsVsMPro[ci] = ifcvp;};
 247   TProfile* GetIntFlowCorrelationsVsMPro(Int_t const ci) const {return this->fIntFlowCorrelationsVsMPro[ci];};
 248   void SetIntFlowSquaredCorrelationsVsMPro(TProfile* const ifscvp, Int_t const ci) {this->fIntFlowSquaredCorrelationsVsMPro[ci] = ifscvp;};
 249   TProfile* GetIntFlowSquaredCorrelationsVsMPro(Int_t const ci) const {return this->fIntFlowSquaredCorrelationsVsMPro[ci];};
 250   void SetIntFlowCorrelationsAllPro(TProfile* const intFlowCorrelationsAllPro) {this->fIntFlowCorrelationsAllPro = intFlowCorrelationsAllPro;};
 251   TProfile* GetIntFlowCorrelationsAllPro() const {return this->fIntFlowCorrelationsAllPro;};
 252   void SetIntFlowExtraCorrelationsPro(TProfile* const intFlowExtraCorrelationsPro) {this->fIntFlowExtraCorrelationsPro = intFlowExtraCorrelationsPro;};
 253   TProfile* GetIntFlowExtraCorrelationsPro() const {return this->fIntFlowExtraCorrelationsPro;};
 254   void SetIntFlowProductOfCorrelationsPro(TProfile* const intFlowProductOfCorrelationsPro) {this->fIntFlowProductOfCorrelationsPro = intFlowProductOfCorrelationsPro;};
 255   TProfile* GetIntFlowProductOfCorrelationsPro() const {return this->fIntFlowProductOfCorrelationsPro;};
 256   void SetIntFlowProductOfCorrelationsVsMPro(TProfile* const ifpocvm, Int_t const pi) {this->fIntFlowProductOfCorrelationsVsMPro[pi] = ifpocvm;};
 257   TProfile* GetIntFlowProductOfCorrelationsVsMPro(Int_t const pi) const {return this->fIntFlowProductOfCorrelationsVsMPro[pi];};
 258   void SetIntFlowProductOfCorrectionTermsForNUAPro(TProfile* const ifpoctfNUA) {this->fIntFlowProductOfCorrectionTermsForNUAPro = ifpoctfNUA;};
 259   TProfile* GetIntFlowProductOfCorrectionTermsForNUAPro() const {return this->fIntFlowProductOfCorrectionTermsForNUAPro;};
 260   void SetIntFlowCorrectionTermsForNUAPro(TProfile* const ifctfnp, Int_t const sc) {this->fIntFlowCorrectionTermsForNUAPro[sc] = ifctfnp;};
 261   TProfile* GetIntFlowCorrectionTermsForNUAPro(Int_t sc) const {return this->fIntFlowCorrectionTermsForNUAPro[sc];};
 262   void SetIntFlowCorrectionTermsForNUAVsMPro(TProfile* const ifctfnpvm, Int_t const sc, Int_t const ci) {this->fIntFlowCorrectionTermsForNUAVsMPro[sc][ci] = ifctfnpvm;};
 263   TProfile* GetIntFlowCorrectionTermsForNUAVsMPro(Int_t sc, Int_t ci) const {return this->fIntFlowCorrectionTermsForNUAVsMPro[sc][ci];};
 264   // integrated flow histograms holding all results:
 265   void SetIntFlowCorrelationsHist(TH1D* const intFlowCorrelationsHist) {this->fIntFlowCorrelationsHist = intFlowCorrelationsHist;};
 266   TH1D* GetIntFlowCorrelationsHist() const {return this->fIntFlowCorrelationsHist;};
 267   void SetIntFlowCorrelationsVsMHist(TH1D* const ifcvmh, Int_t const ci) {this->fIntFlowCorrelationsVsMHist[ci] = ifcvmh;};
 268   TH1D* GetIntFlowCorrelationsVsMHist(Int_t const ci) const {return this->fIntFlowCorrelationsVsMHist[ci];};
 269   void SetIntFlowCorrelationsAllHist(TH1D* const intFlowCorrelationsAllHist) {this->fIntFlowCorrelationsAllHist = intFlowCorrelationsAllHist;};
 270   TH1D* GetIntFlowCorrelationsAllHist() const {return this->fIntFlowCorrelationsAllHist;};
 271   void SetIntFlowCorrectionTermsForNUAHist(TH1D* const ifctfnh, Int_t const sc) {this->fIntFlowCorrectionTermsForNUAHist[sc] = ifctfnh;};
 272   TH1D* GetIntFlowCorrectionTermsForNUAHist(Int_t sc) const {return this->fIntFlowCorrectionTermsForNUAHist[sc];};
 273   void SetIntFlowCovariances(TH1D* const intFlowCovariances) {this->fIntFlowCovariances = intFlowCovariances;};
 274   TH1D* GetIntFlowCovariances() const {return this->fIntFlowCovariances;};
 275   void SetIntFlowSumOfEventWeights(TH1D* const intFlowSumOfEventWeights, Int_t const power) {this->fIntFlowSumOfEventWeights[power] = intFlowSumOfEventWeights;};
 276   TH1D* GetIntFlowSumOfEventWeights(Int_t power) const {return this->fIntFlowSumOfEventWeights[power];};
 277   void SetIntFlowSumOfProductOfEventWeights(TH1D* const intFlowSumOfProductOfEventWeights) {this->fIntFlowSumOfProductOfEventWeights = intFlowSumOfProductOfEventWeights;};
 278   TH1D* GetIntFlowSumOfProductOfEventWeights() const {return this->fIntFlowSumOfProductOfEventWeights;};
 279   void SetIntFlowCovariancesVsM(TH1D* const ifcvm, Int_t ci) {this->fIntFlowCovariancesVsM[ci] = ifcvm;};
 280   TH1D* GetIntFlowCovariancesVsM(Int_t ci) const {return this->fIntFlowCovariancesVsM[ci];};
 281   void SetIntFlowSumOfEventWeightsVsM(TH1D* const ifsoewvm, Int_t si, Int_t lc) {this->fIntFlowSumOfEventWeightsVsM[si][lc] = ifsoewvm;};
 282   TH1D* GetIntFlowSumOfEventWeightsVsM(Int_t si, Int_t lc) const {return this->fIntFlowSumOfEventWeightsVsM[si][lc];};
 283   void SetIntFlowSumOfProductOfEventWeightsVsM(TH1D* const ifsopoevm, Int_t si) {this->fIntFlowSumOfProductOfEventWeightsVsM[si] = ifsopoevm;};
 284   TH1D* GetIntFlowSumOfProductOfEventWeightsVsM(Int_t si) const {return this->fIntFlowSumOfProductOfEventWeightsVsM[si];};
 285   void SetIntFlowCovariancesNUA(TH1D* const intFlowCovariancesNUA) {this->fIntFlowCovariancesNUA = intFlowCovariancesNUA;};
 286   TH1D* GetIntFlowCovariancesNUA() const {return this->fIntFlowCovariancesNUA;};
 287   void SetIntFlowSumOfEventWeightsNUA(TH1D* const ifsoewNUA, Int_t const sc, Int_t const power) {this->fIntFlowSumOfEventWeightsNUA[sc][power] = ifsoewNUA;};
 288   TH1D* GetIntFlowSumOfEventWeightsNUA(Int_t sc, Int_t power) const {return this->fIntFlowSumOfEventWeightsNUA[sc][power];};
 289   void SetIntFlowSumOfProductOfEventWeightsNUA(TH1D* const ifsopoewNUA) {this->fIntFlowSumOfProductOfEventWeightsNUA = ifsopoewNUA;};
 290   TH1D* GetIntFlowSumOfProductOfEventWeightsNUA() const {return this->fIntFlowSumOfProductOfEventWeightsNUA;};
 291   void SetIntFlowQcumulants(TH1D* const intFlowQcumulants) {this->fIntFlowQcumulants = intFlowQcumulants;};
 292   TH1D* GetIntFlowQcumulants() const {return this->fIntFlowQcumulants;};
 293   void SetIntFlowQcumulantsVsM(TH1D* const intFlowQcumulantsVsM, Int_t co) {this->fIntFlowQcumulantsVsM[co] = intFlowQcumulantsVsM;};
 294   TH1D* GetIntFlowQcumulantsVsM(Int_t co) const {return this->fIntFlowQcumulantsVsM[co];};
 295   void SetIntFlowQcumulantsRebinnedInM(TH1D* const ifqcrim) {this->fIntFlowQcumulantsRebinnedInM = ifqcrim;};
 296   TH1D* GetIntFlowQcumulantsRebinnedInM() const {return this->fIntFlowQcumulantsRebinnedInM;};
 297   void SetIntFlowQcumulantsErrorSquaredRatio(TH1D* const ifqcesr) {this->fIntFlowQcumulantsErrorSquaredRatio = ifqcesr;};
 298   TH1D* GetIntFlowQcumulantsErrorSquaredRatio() const {return this->fIntFlowQcumulantsErrorSquaredRatio;};
 299   void SetIntFlow(TH1D* const intFlow) {this->fIntFlow = intFlow;};
 300   TH1D* GetIntFlow() const {return this->fIntFlow;};
 301   void SetIntFlowVsM(TH1D* const intFlowVsM, Int_t co) {this->fIntFlowVsM[co] = intFlowVsM;};
 302   TH1D* GetIntFlowVsM(Int_t co) const {return this->fIntFlowVsM[co];};
 303   void SetIntFlowRebinnedInM(TH1D* const ifrim) {this->fIntFlowRebinnedInM = ifrim;};
 304   TH1D* GetIntFlowRebinnedInM() const {return this->fIntFlowRebinnedInM;};
 305   void SetIntFlowDetectorBias(TH1D* const ifdb) {this->fIntFlowDetectorBias = ifdb;};
 306   TH1D* GetIntFlowDetectorBias() const {return this->fIntFlowDetectorBias;};
 307   void SetIntFlowDetectorBiasVsM(TH1D* const ifdbvm, Int_t ci) {this->fIntFlowDetectorBiasVsM[ci] = ifdbvm;};
 308   TH1D* GetIntFlowDetectorBiasVsM(Int_t ci) const {return this->fIntFlowDetectorBiasVsM[ci];};
 309   // 4.) differential flow:
 310   // flags:
 311   void SetDiffFlowFlags(TProfile* const diffFlowFlags) {this->fDiffFlowFlags = diffFlowFlags;};
 312   TProfile* GetDiffFlowFlags() const {return this->fDiffFlowFlags;};
 313   void SetCalculate2DFlow(Bool_t const calculate2DFlow) {this->fCalculate2DFlow = calculate2DFlow;};
 314   Bool_t GetCalculate2DFlow() const {return this->fCalculate2DFlow;};
 315   // profiles:
 316   // 1D:
 317   void SetDiffFlowCorrelationsPro(TProfile* const diffFlowCorrelationsPro, Int_t const i, Int_t const j, Int_t const k) {this->fDiffFlowCorrelationsPro[i][j][k] = diffFlowCorrelationsPro;};
 318   TProfile* GetDiffFlowCorrelationsPro(Int_t i, Int_t j, Int_t k) const {return this->fDiffFlowCorrelationsPro[i][j][k];};
 319   void SetDiffFlowSquaredCorrelationsPro(TProfile* const diffFlowSquaredCorrelationsPro, Int_t const i, Int_t const j, Int_t const k) {this->fDiffFlowSquaredCorrelationsPro[i][j][k] = diffFlowSquaredCorrelationsPro;};
 320   TProfile* GetDiffFlowSquaredCorrelationsPro(Int_t i, Int_t j, Int_t k) const {return this->fDiffFlowSquaredCorrelationsPro[i][j][k];};
 321   void SetDiffFlowProductOfCorrelationsPro(TProfile* const dfpocp, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fDiffFlowProductOfCorrelationsPro[i][j][k][l] = dfpocp;};
 322   TProfile* GetDiffFlowProductOfCorrelationsPro(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fDiffFlowProductOfCorrelationsPro[i][j][k][l];};
 323   void SetDiffFlowCorrectionTermsForNUAPro(TProfile* const dfctfnp, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fDiffFlowCorrectionTermsForNUAPro[i][j][k][l] = dfctfnp;};
 324   TProfile* GetDiffFlowCorrectionTermsForNUAPro(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fDiffFlowCorrectionTermsForNUAPro[i][j][k][l];};
 325   // 2D:
 326   void SetCorrelationsPro(TProfile2D* const correlPro, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fCorrelationsPro[i][j][k][l] = correlPro;};
 327   TProfile2D* GetCorrelationsPro(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fCorrelationsPro[i][j][k][l];};
 328   void SetProductsOfCorrelationsPro(TProfile2D* const proOfcorrelPro, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fProductsOfCorrelationsPro[i][j][k][l] = proOfcorrelPro;};
 329   TProfile2D* GetProductsOfCorrelationsPro(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fProductsOfCorrelationsPro[i][j][k][l];};
 330   void SetCorrectionTermsPro(TProfile2D* const correctTermsPro, Int_t const i, Int_t const j, Int_t const k, Int_t const l, Int_t const m) {this->fCorrectionTermsPro[i][j][k][l][m] = correctTermsPro;};
 331   TProfile2D* GetCorrectionTermsPro(Int_t i, Int_t j, Int_t k, Int_t l, Int_t m) const {return this->fCorrectionTermsPro[i][j][k][l][m];};
 332   // histograms:
 333   void SetDiffFlowCorrelationsHist(TH1D* const diffFlowCorrelationsHist, Int_t const i, Int_t const j, Int_t const k) {this->fDiffFlowCorrelationsHist[i][j][k] = diffFlowCorrelationsHist;};
 334   TH1D* GetDiffFlowCorrelationsHist(Int_t i, Int_t j, Int_t k) const {return this->fDiffFlowCorrelationsHist[i][j][k];};
 335   void SetDiffFlowCovariances(TH1D* const diffFlowCovariances, Int_t const i, Int_t const j, Int_t const k) {this->fDiffFlowCovariances[i][j][k] = diffFlowCovariances;};
 336   TH1D* GetDiffFlowCovariances(Int_t i, Int_t j, Int_t k) const {return this->fDiffFlowCovariances[i][j][k];};
 337   void SetDiffFlowCumulants(TH1D* const diffFlowCumulants, Int_t const i, Int_t const j, Int_t const k) {this->fDiffFlowCumulants[i][j][k] = diffFlowCumulants;};
 338   TH1D* GetDiffFlowCumulants(Int_t i, Int_t j, Int_t k) const {return this->fDiffFlowCumulants[i][j][k];};
 339   void SetDiffFlow(TH1D* const diffFlow, Int_t const i, Int_t const j, Int_t const k) {this->fDiffFlow[i][j][k] = diffFlow;};
 340   TH1D* GetDiffFlow(Int_t i, Int_t j, Int_t k) const {return this->fDiffFlow[i][j][k];};
 341   void SetDiffFlowSumOfEventWeights(TH1D* const dfsoew, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fDiffFlowSumOfEventWeights[i][j][k][l] = dfsoew;};
 342   TH1D* GetDiffFlowSumOfEventWeights(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fDiffFlowSumOfEventWeights[i][j][k][l];};
 343   void SetDiffFlowSumOfProductOfEventWeights(TH1D* const dfsopoew, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fDiffFlowSumOfProductOfEventWeights[i][j][k][l] = dfsopoew;};
 344   TH1D* GetDiffFlowSumOfProductOfEventWeights(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fDiffFlowSumOfProductOfEventWeights[i][j][k][l];};
 345   void SetDiffFlowCorrectionTermsForNUAHist(TH1D* const dfctfnh, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fDiffFlowCorrectionTermsForNUAHist[i][j][k][l] = dfctfnh;};
 346   TH1D* GetDiffFlowCorrectionTermsForNUAHist(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fDiffFlowCorrectionTermsForNUAHist[i][j][k][l];};
 347
 348   // 5.) distributions of correlations:
 349   // flags:
 350   void SetStoreDistributions(Bool_t const storeDistributions) {this->fStoreDistributions = storeDistributions;};
 351   Bool_t GetStoreDistributions() const {return this->fStoreDistributions;};
 352   // profile:
 353   void SetDistributionsFlags(TProfile* const distributionsFlags) {this->fDistributionsFlags = distributionsFlags;};
 354   TProfile* GetDistributionsFlags() const {return this->fDistributionsFlags;};
 355   // histograms:
 356   void SetDistributions(TH1D* const distributions, Int_t const i) {this->fDistributions[i] = distributions;};
 357   TH1D* GetDistributions(Int_t i) const {return this->fDistributions[i];};
 358   // min and max values of correlations (ci is correlations index [0=<2>,1=<4>,2=<6>,3=<8>]):
 359   void SetMinValueOfCorrelation(Int_t const ci, Double_t const minValue) {this->fMinValueOfCorrelation[ci] = minValue;};
 360   Double_t GetMinValueOfCorrelation(Int_t ci) const {return this->fMinValueOfCorrelation[ci];};
 361   void SetMaxValueOfCorrelation(Int_t const ci, Double_t const maxValue) {this->fMaxValueOfCorrelation[ci] = maxValue;};
 362   Double_t GetMaxValueOfCorrelation(Int_t ci) const {return this->fMaxValueOfCorrelation[ci];};
 363
 364   // x.) debugging and cross-checking:
 365   void SetNestedLoopsList(TList* const nllist) {this->fNestedLoopsList = nllist;};
 366   TList* GetNestedLoopsList() const {return this->fNestedLoopsList;};
 367   void SetEvaluateIntFlowNestedLoops(Bool_t const eifnl) {this->fEvaluateIntFlowNestedLoops = eifnl;};
 368   Bool_t GetEvaluateIntFlowNestedLoops() const {return this->fEvaluateIntFlowNestedLoops;};
 369   void SetEvaluateDiffFlowNestedLoops(Bool_t const edfnl) {this->fEvaluateDiffFlowNestedLoops = edfnl;};
 370   Bool_t GetEvaluateDiffFlowNestedLoops() const {return this->fEvaluateDiffFlowNestedLoops;};
 371   void SetMaxAllowedMultiplicity(Int_t const maxAllowedMultiplicity) {this->fMaxAllowedMultiplicity = maxAllowedMultiplicity;};
 372   Int_t GetMaxAllowedMultiplicity() const {return this->fMaxAllowedMultiplicity;};
 373   void SetEvaluateNestedLoops(TProfile* const enl) {this->fEvaluateNestedLoops = enl;};
 374   TProfile* GetEvaluateNestedLoops() const {return this->fEvaluateNestedLoops;};
 375   void SetIntFlowDirectCorrelations(TProfile* const ifdc) {this->fIntFlowDirectCorrelations = ifdc;};
 376   TProfile* GetIntFlowDirectCorrelations() const {return this->fIntFlowDirectCorrelations;};
 377   void SetIntFlowExtraDirectCorrelations(TProfile* const ifedc) {this->fIntFlowExtraDirectCorrelations = ifedc;};
 378   TProfile* GetIntFlowExtraDirectCorrelations() const {return this->fIntFlowExtraDirectCorrelations;};
 379   void SetIntFlowDirectCorrectionTermsForNUA(TProfile* const ifdctfn, Int_t const sc) {this->fIntFlowDirectCorrectionTermsForNUA[sc] = ifdctfn;};
 380   TProfile* GetIntFlowDirectCorrectionTermsForNUA(Int_t sc) const {return this->fIntFlowDirectCorrectionTermsForNUA[sc];};
 381   void SetCrossCheckInPtBinNo(Int_t const crossCheckInPtBinNo) {this->fCrossCheckInPtBinNo = crossCheckInPtBinNo;};
 382   Int_t GetCrossCheckInPtBinNo() const {return this->fCrossCheckInPtBinNo;};
 383   void SetCrossCheckInEtaBinNo(Int_t const crossCheckInEtaBinNo) {this->fCrossCheckInEtaBinNo = crossCheckInEtaBinNo;};
 384   Int_t GetCrossCheckInEtaBinNo() const {return this->fCrossCheckInEtaBinNo;};
 385   void SetNoOfParticlesInBin(TH1D* const noOfParticlesInBin) {this->fNoOfParticlesInBin = noOfParticlesInBin;};
 386   TH1D* GetNoOfParticlesInBin() const {return this->fNoOfParticlesInBin;};
 387   void SetDiffFlowDirectCorrelations(TProfile* const diffFlowDirectCorrelations,Int_t const i,Int_t const j,Int_t const k){this->fDiffFlowDirectCorrelations[i][j][k]=diffFlowDirectCorrelations;};
 388   TProfile* GetDiffFlowDirectCorrelations(Int_t i, Int_t j, Int_t k) const {return this->fDiffFlowDirectCorrelations[i][j][k];};
 389   void SetDiffFlowDirectCorrectionTermsForNUA(TProfile* const dfdctfn, Int_t const i, Int_t const j, Int_t const k, Int_t const l) {this->fDiffFlowDirectCorrectionTermsForNUA[i][j][k][l] = dfdctfn;};
 390   TProfile* GetDiffFlowDirectCorrectionTermsForNUA(Int_t i, Int_t j, Int_t k, Int_t l) const {return this->fDiffFlowDirectCorrectionTermsForNUA[i][j][k][l];};
 391
 392  private:
 393
 394   AliFlowAnalysisWithQCumulants(const AliFlowAnalysisWithQCumulants& afawQc);
 395   AliFlowAnalysisWithQCumulants& operator=(const AliFlowAnalysisWithQCumulants& afawQc);
 396
 397   // 0.) base:
 398   TList* fHistList; // base list to hold all output object
 399
 400   // 1.) common:
 401   AliFlowCommonHist *fCommonHists; // common control histograms (taking into account ALL events)
 402   AliFlowCommonHist *fCommonHists2nd; // common control histograms (taking into account only the events with 2 and more particles)
 403   AliFlowCommonHist *fCommonHists4th; // common control histograms (taking into account only the events with 4 and more particles)
 404   AliFlowCommonHist *fCommonHists6th; // common control histograms (taking into account only the events with 6 and more particles)
 405   AliFlowCommonHist *fCommonHists8th; // common control histograms (taking into account only the events with 8 and more particles)
 406   AliFlowCommonHistResults *fCommonHistsResults2nd; // final results for 2nd order int. and diff. flow for events with 2 and more particles
 407   AliFlowCommonHistResults *fCommonHistsResults4th; // final results for 4th order int. and diff. flow for events with 4 and more particles
 408   AliFlowCommonHistResults *fCommonHistsResults6th; // final results for 6th order int. and diff. flow for events with 6 and more particles
 409   AliFlowCommonHistResults *fCommonHistsResults8th; // final results for 8th order int. and diff. flow for events with 8 and more particles
 410   Int_t fnBinsPhi; // number of phi bins
 411   Double_t fPhiMin; // minimum phi
 412   Double_t fPhiMax; // maximum phi
 413   Double_t fPhiBinWidth; // bin width for phi histograms
 414   Int_t fnBinsPt; // number of pt bins
 415   Double_t fPtMin; // minimum pt
 416   Double_t fPtMax; // maximum pt
 417   Double_t fPtBinWidth; // bin width for pt histograms
 418   Int_t fnBinsEta; // number of eta bins
 419   Double_t fEtaMin; // minimum eta
 420   Double_t fEtaMax; // maximum eta
 421   Double_t fEtaBinWidth; // bin width for eta histograms
 422   Int_t fHarmonic; // harmonic
 423   TString *fAnalysisLabel; // analysis label (all histograms and output file will have this label)
 424   Bool_t fPrintFinalResults[4]; // print on the screen the final results (0=RF, 1=RP, 2=POI, 3=RF rebinned in M)
 425
 426   // 2a.) particle weights:
 427   TList *fWeightsList; // list to hold all histograms with particle weights: fUseParticleWeights, fPhiWeights, fPtWeights and fEtaWeights
 428   Bool_t fUsePhiWeights; // use phi weights
 429   Bool_t fUsePtWeights; // use pt weights
 430   Bool_t fUseEtaWeights; // use eta weights
 431   TProfile *fUseParticleWeights; // profile with three bins to hold values of fUsePhiWeights, fUsePtWeights and fUseEtaWeights
 432   TH1F *fPhiWeights; // histogram holding phi weights
 433   TH1D *fPtWeights; // histogram holding phi weights
 434   TH1D *fEtaWeights; // histogram holding phi weights
 435
 436   // 2b.) event weights:
 437   TString *fMultiplicityWeight; // event-by-event weights for multiparticle correlations
 438
 439   // 3.) integrated flow
 440   //  3a.) lists:
 441   TList *fIntFlowList; // list to hold all histograms and profiles relevant for integrated flow
 442   TList *fIntFlowProfiles; // list to hold all profiles relevant for integrated flow
 443   TList *fIntFlowResults; // list to hold all histograms with final results relevant for integrated flow
 444   //  3b.) flags:
 445   TProfile *fIntFlowFlags; // profile to hold all flags for integrated flow
 446   Bool_t fApplyCorrectionForNUA; // apply correction for non-uniform acceptance
 447   Bool_t fApplyCorrectionForNUAVsM; // apply correction for non-uniform acceptance versus M
 448   Int_t fnBinsMult; // number of multiplicity bins for flow analysis versus multiplicity
 449   Double_t fMinMult; // minimal multiplicity for flow analysis versus multiplicity
 450   Double_t fMaxMult; // maximal multiplicity for flow analysis versus multiplicity
 451   Bool_t fPropagateErrorAlsoFromNIT; // propagate error by taking into account also non-isotropic terms (not sure if resulting error then is correct - to be improved)
 452   Bool_t fCalculateCumulantsVsM; // calculate cumulants versus multiplicity
 453   Bool_t fMinimumBiasReferenceFlow; // store as reference flow in AliFlowCommonHistResults the minimum bias result (kFALSE by default)
 454   Bool_t fForgetAboutCovariances; // when propagating error forget about the covariances
 455   Bool_t fStorePhiDistributionForOneEvent; // store phi distribution for one event to illustrate flow
 456   Double_t fPhiDistributionForOneEventSettings[4]; // [v_min,v_max,refMult_min,refMult_max]
 457   //  3c.) event-by-event quantities:
 458   TMatrixD *fReQ; // fReQ[m][k] = sum_{i=1}^{M} w_{i}^{k} cos(m*phi_{i})
 459   TMatrixD *fImQ; // fImQ[m][k] = sum_{i=1}^{M} w_{i}^{k} sin(m*phi_{i})
 460   TMatrixD *fSMpk; // fSM[p][k] = (sum_{i=1}^{M} w_{i}^{k})^{p+1}
 461   TH1D *fIntFlowCorrelationsEBE; // 1st bin: <2>, 2nd bin: <4>, 3rd bin: <6>, 4th bin: <8>
 462   TH1D *fIntFlowEventWeightsForCorrelationsEBE; // 1st bin: eW_<2>, 2nd bin: eW_<4>, 3rd bin: eW_<6>, 4th bin: eW_<8>
 463   TH1D *fIntFlowCorrelationsAllEBE; // to be improved (add comment)
 464   TH1D *fIntFlowCorrectionTermsForNUAEBE[2]; // [0=sin terms,1=cos terms], NUA = non-uniform acceptance
 465   TH1D *fIntFlowEventWeightForCorrectionTermsForNUAEBE[2]; // [0=sin terms,1=cos terms], NUA = non-uniform acceptance
 466   Double_t fReferenceMultiplicityEBE; // reference multiplicity
 467   //  3d.) profiles:
 468   TProfile *fAvMultiplicity; // profile to hold average multiplicities and number of events for events with nRP>=0, nRP>=1, ... , and nRP>=8
 469   TProfile *fIntFlowCorrelationsPro; // average correlations <<2>>, <<4>>, <<6>> and <<8>> (with wrong errors!)
 470   TProfile *fIntFlowSquaredCorrelationsPro; // average correlations squared <<2>^2>, <<4>^2>, <<6>^2> and <<8>^2>
 471   TProfile *fIntFlowCorrelationsVsMPro[4]; // average correlations <<2>>, <<4>>, <<6>> and <<8>> versus multiplicity (error is wrong here!)
 472   TProfile *fIntFlowSquaredCorrelationsVsMPro[4]; // average correlations <<2>^2>, <<4>^2>, <<6>^2> and <<8>^2> versus multiplicity
 473   TProfile *fIntFlowCorrelationsAllPro; // average all correlations for integrated flow (with wrong errors!)
 474   TProfile *fIntFlowExtraCorrelationsPro; // when particle weights are used some extra correlations appear
 475   TProfile *fIntFlowProductOfCorrelationsPro; // average product of correlations <2>, <4>, <6> and <8>
 476   TProfile *fIntFlowProductOfCorrelationsVsMPro[6]; // average product of correlations <2>, <4>, <6> and <8>
 477                                                     // [0=<<2><4>>,1=<<2><6>>,2=<<2><8>>,3=<<4><6>>,4=<<4><8>>,5=<<6><8>>]
 478   TProfile *fIntFlowProductOfCorrectionTermsForNUAPro; // average product of correction terms for NUA
 479   TProfile *fIntFlowCorrectionTermsForNUAPro[2]; // average correction terms for non-uniform acceptance (with wrong errors!) [0=sin terms,1=cos terms]
 480   TProfile *fIntFlowCorrectionTermsForNUAVsMPro[2][4]; // average correction terms for non-uniform acceptance (with wrong errors!) [0=sin terms,1=cos terms][correction term index] vs multiplicity
 481   //  3e.) histograms with final results:
 482   TH1D *fIntFlowCorrelationsHist; // final results for average correlations <<2>>, <<4>>, <<6>> and <<8>> (with correct errors!)
 483   TH1D *fIntFlowCorrelationsVsMHist[4]; // average correlations <<2>>, <<4>>, <<6>> and <<8>> versus multiplicity (error is correct here!)
 484   TH1D *fIntFlowCorrelationsAllHist; // final results for all average correlations (with correct errors!)
 485   TH1D *fIntFlowCorrectionTermsForNUAHist[2];// final results for correction terms for non-uniform acceptance (with correct errors!) [0=sin terms,1=cos terms]
 486   TH1D *fIntFlowCovariances; // final result for covariances of correlations (multiplied with weight dependent prefactor)
 487   TH1D *fIntFlowSumOfEventWeights[2]; // sum of linear and quadratic event weights for <2>, <4>, <6> and <8>: [0=linear 1,1=quadratic]
 488   TH1D *fIntFlowSumOfProductOfEventWeights; // sum of products of event weights for correlations <2>, <4>, <6> and <8>
 489   TH1D *fIntFlowCovariancesVsM[6]; // final result for covariances of correlations (multiplied with weight dependent prefactor) versus M
 490                                    // [0=Cov(2,4),1=Cov(2,6),2=Cov(2,8),3=Cov(4,6),4=Cov(4,8),5=Cov(6,8)]
 491   TH1D *fIntFlowSumOfEventWeightsVsM[4][2]; // sum of linear and quadratic event weights for <2>, <4>, <6> and <8> versum multiplicity
 492                                             // [0=sum{w_{<2>}},1=sum{w_{<4>}},2=sum{w_{<6>}},3=sum{w_{<8>}}][0=linear 1,1=quadratic]
 493   TH1D *fIntFlowSumOfProductOfEventWeightsVsM[6]; // sum of products of event weights for correlations <2>, <4>, <6> and <8> vs M
 494                                                   // [0=sum{w_{<2>}w_{<4>}},1=sum{w_{<2>}w_{<6>}},2=sum{w_{<2>}w_{<8>}},
 495                                                   //  3=sum{w_{<4>}w_{<6>}},4=sum{w_{<4>}w_{<8>}},5=sum{w_{<6>}w_{<8>}}]
 496   TH1D *fIntFlowCovariancesNUA; // final result for covariances of all terms needed for NUA (multiplied with weight dependent prefactor)
 497   TH1D *fIntFlowSumOfEventWeightsNUA[2][2]; // sum of linear and quadratic event weights for NUA terms: [0=sin,1=cos][0=linear 1,1=quadratic]
 498   TH1D *fIntFlowSumOfProductOfEventWeightsNUA; // sum of products of event weights for NUA terms
 499   TH1D *fIntFlowQcumulants; // final results for integrated Q-cumulants QC{2}, QC{4}, QC{6} and QC{8}
 500   TH1D *fIntFlowQcumulantsVsM[4]; // final results for integrated Q-cumulants QC{2}, QC{4}, QC{6} and QC{8} versus multiplicity
 501   TH1D *fIntFlowQcumulantsRebinnedInM; // final results for reference Q-cumulants QC{2}, QC{4}, QC{6} and QC{8} rebinned in M
 502   TH1D *fIntFlowQcumulantsErrorSquaredRatio; // ratio between error squared: with/without non-isotropic terms
 503   TH1D *fIntFlow; // final results for integrated flow estimates v_n{2,QC}, v_n{4,QC}, v_n{6,QC} and v_n{8,QC}
 504   TH1D *fIntFlowVsM[4]; // final results for integrated flow estimates v_n{2,QC}, v_n{4,QC}, v_n{6,QC} and v_n{8,QC} versus multiplicity
 505   TH1D *fIntFlowRebinnedInM; // final results for ref. flow estimates v_n{2,QC}, v_n{4,QC}, v_n{6,QC} and v_n{8,QC} rebinned in M
 506   TH1D *fIntFlowDetectorBias; // bias coming from detector inefficiencies to <<2>>, <<4>>, <<6>> and <<8>> (corrected/measured)
 507   TH1D *fIntFlowDetectorBiasVsM[4]; // bias coming from detector inefficiencies to <<2>>, <<4>>, <<6>> and <<8>> vs M (corrected/measured)
 508   // 4.) differential flow
 509   //  4a.) lists:
 510   TList *fDiffFlowList; // list to hold list with all histograms (fDiffFlowResults) and list with profiles (fDiffFlowProfiles) relevant for differential flow
 511   TList *fDiffFlowProfiles; // list to hold all profiles relevant for differential flow
 512   TList *fDiffFlowResults; // list to hold all histograms with final results relevant for differential flow
 513   //    4aa.) nested list in list fDiffFlowProfiles:
 514   TList *fDiffFlowCorrelationsProList[2][2]; // list to hold profiles with all correlations for differential flow [0=RP,1=POI][0=pt,1=eta]
 515   TList *fDiffFlowProductOfCorrelationsProList[2][2]; // list to hold profiles with products of all correlations for differential flow [0=RP,1=POI][0=pt,1=eta]
 516   TList *fDiffFlowCorrectionsProList[2][2]; // list to hold profiles with correction term for NUA for differential flow [0=RP,1=POI][0=pt,1=eta]
 517   //    4ab.) nested list in list fDiffFlowResults:
 518   TList *fDiffFlowCorrelationsHistList[2][2]; // list to hold histograms with all correlations for differential flow [0=RP,1=POI][0=pt,1=eta]
 519   TList *fDiffFlowSumOfEventWeightsHistList[2][2][2]; // list to hold histograms with sum of linear/quadratic event weights [0=RP,1=POI][0=pt,1=eta][0=linear 1,1=quadratic]
 520   TList *fDiffFlowSumOfProductOfEventWeightsHistList[2][2]; // list to hold histograms with sum of products of event weights [0=RP,1=POI][0=pt,1=eta]
 521   TList *fDiffFlowCorrectionsHistList[2][2]; // list to hold histograms with correction term for NUA for differential flow [0=RP,1=POI][0=pt,1=eta]
 522   TList *fDiffFlowCovariancesHistList[2][2]; // list to hold histograms with all covariances for differential flow [0=RP,1=POI][0=pt,1=eta]
 523   TList *fDiffFlowCumulantsHistList[2][2]; // list to hold histograms with all cumulants for differential flow [0=RP,1=POI][0=pt,1=eta]
 524   TList *fDiffFlowHistList[2][2]; // list to hold histograms with final results for differential flow [0=RP,1=POI][0=pt,1=eta]
 525   //  4b.) flags:
 526   TProfile *fDiffFlowFlags; // profile to hold all flags for differential flow
 527   Bool_t fCalculate2DFlow; // calculate differential flow in (pt,eta) (Remark: this is very expensive in terms of CPU time)
 528   //  4c.) event-by-event quantities:
 529   // 1D:
 530   TProfile *fReRPQ1dEBE[3][2][4][9]; // real part [0=r,1=p,2=q][0=pt,1=eta][m][k]
 531   TProfile *fImRPQ1dEBE[3][2][4][9]; // imaginary part [0=r,1=p,2=q][0=pt,1=eta][m][k]
 532   TProfile *fs1dEBE[3][2][9]; // [0=r,1=p,2=q][0=pt,1=eta][k] // to be improved
 533   TH1D *fDiffFlowCorrelationsEBE[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][reduced correlation index]
 534   TH1D *fDiffFlowEventWeightsForCorrelationsEBE[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][event weights for reduced correlation index]
 535   TH1D *fDiffFlowCorrectionTermsForNUAEBE[2][2][2][10]; // [0=RP,1=POI][0=pt,1=eta][0=sin terms,1=cos terms][correction term index]
 536   // 2D:
 537   TProfile2D *fReRPQ2dEBE[3][4][9]; // real part of r_{m*n,k}(pt,eta), p_{m*n,k}(pt,eta) and q_{m*n,k}(pt,eta)
 538   TProfile2D *fImRPQ2dEBE[3][4][9]; // imaginary part of r_{m*n,k}(pt,eta), p_{m*n,k}(pt,eta) and q_{m*n,k}(pt,eta)
 539   TProfile2D *fs2dEBE[3][9]; // [t][k] // to be improved
 540   //  4d.) profiles:
 541   // 1D:
 542   TProfile *fDiffFlowCorrelationsPro[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][correlation index]
 543   TProfile *fDiffFlowSquaredCorrelationsPro[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][correlation index]
 544   TProfile *fDiffFlowProductOfCorrelationsPro[2][2][8][8]; // [0=RP,1=POI][0=pt,1=eta] [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] x
 545                                                            //                          [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>]
 546   TProfile *fDiffFlowCorrectionTermsForNUAPro[2][2][2][10]; // [0=RP,1=POI][0=pt,1=eta][0=sin terms,1=cos terms][correction term index]
 547
 548   //  4e.) histograms holding final results:
 549   // 1D:
 550   TH1D *fDiffFlowCorrelationsHist[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][correlation index]
 551   TH1D *fDiffFlowCovariances[2][2][5]; // [0=RP,1=POI][0=pW not used,1=pW used][0=exact eW,1=non-exact eW][0=pt,1=eta][index of covariances]
 552   TH1D *fDiffFlowCumulants[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][0=QC{2'},1=QC{4'},2=QC{6'},3=QC{8'}]
 553   TH1D *fDiffFlow[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][0=v'{2},1=v'{4},2=v'{6},3=v'{8}]
 554   TH1D *fDiffFlowSumOfEventWeights[2][2][2][4]; // [0=RP,1=POI][0=pt,1=eta][0=linear 1,1=quadratic][0=<2'>,1=<4'>,2=<6'>,3=<8'>]
 555   TH1D *fDiffFlowSumOfProductOfEventWeights[2][2][8][8]; // [0=RP,1=POI][0=pt,1=eta]  [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>] x
 556                                                          //                           [0=<2>,1=<2'>,2=<4>,3=<4'>,4=<6>,5=<6'>,6=<8>,7=<8'>]
 557   TH1D *fDiffFlowCorrectionTermsForNUAHist[2][2][2][10]; // [0=RP,1=POI][0=pt,1=eta][0=sin terms,1=cos terms][correction term index]
 558
 559   // 2D:
 560   TProfile2D *fCorrelationsPro[2][2][2][4]; // [0=RP,1=POI][0=pWeights not used,1=pWeights used][0=exact eWeights,1=non-exact eWeights][corr.'s index]
 561   TProfile2D *fProductsOfCorrelationsPro[2][2][2][5]; // [0=RP,1=POI][0=pW not used,1=pW used][0=exact eWeights,1=non-exact eWeights][products' index]
 562   TProfile2D *fCorrectionTermsPro[2][2][2][2][2]; // [0=RP,1=POI][0=pW not used,1=pW used][0=e eW,1=ne eW][0=sin terms,1=cos terms][corr. terms' index]
 563
 564   // 5.) distributions:
 565   TList *fDistributionsList; // list to hold all distributions of correlations
 566   TProfile *fDistributionsFlags; // profile to hold all flags for distributions of correlations
 567   Bool_t fStoreDistributions; // store or not distributions of correlations
 568   TH1D *fDistributions[4]; // [0=distribution of <2>,1=distribution of <4>,2=distribution of <6>,3=distribution of <8>]
 569   Double_t fMinValueOfCorrelation[4]; // min values of <2>, <4>, <6> and <8>
 570   Double_t fMaxValueOfCorrelation[4]; // max values of <2>, <4>, <6> and <8>
 571
 572   // 6.) various:
 573   TList *fVariousList; // list to hold various unclassified objects
 574   TH1D *fPhiDistributionForOneEvent; // store phi distribution for one event to illustrate flow
 575
 576   // x.) debugging and cross-checking:
 577   TList *fNestedLoopsList; // list to hold all profiles filled with nested loops
 578   Bool_t fEvaluateIntFlowNestedLoops; // evaluate nested loops relevant for integrated flow
 579   Bool_t fEvaluateDiffFlowNestedLoops; // evaluate nested loops relevant for differential flow
 580   Int_t fMaxAllowedMultiplicity; // nested loops will be evaluated only for events with multiplicity <= fMaxAllowedMultiplicity
 581   TProfile *fEvaluateNestedLoops; // profile with four bins: fEvaluateIntFlowNestedLoops, fEvaluateDiffFlowNestedLoops, fCrossCheckInPtBinNo and fCrossCheckInEtaBinNo
 582   // integrated flow:
 583   TProfile *fIntFlowDirectCorrelations; // multiparticle correlations relevant for int. flow calculated with nested loops
 584   TProfile *fIntFlowExtraDirectCorrelations; // when particle weights are used some extra correlations appear
 585   TProfile *fIntFlowDirectCorrectionTermsForNUA[2]; // average correction terms for non-uniform acceptance evaluated with nested loops [0=sin terms,1=cos terms]
 586   // differential flow:
 587   Int_t fCrossCheckInPtBinNo; // cross-check results for reduced correlations and corrections in this pt bin
 588   Int_t fCrossCheckInEtaBinNo; // cross-check results for reduced correlations and corrections in this eta bin
 589   TH1D *fNoOfParticlesInBin; // bin: 1 = # of RPs in pt bin, 2 = # of RPs in eta bin, 3 = # of POIs in pt bin, 4 = # of POIs in eta bin
 590   TProfile *fDiffFlowDirectCorrelations[2][2][4]; // [0=RP,1=POI][0=pt,1=eta][correlation index]
 591   TProfile *fDiffFlowDirectCorrectionTermsForNUA[2][2][2][10]; // [0=RP,1=POI][0=pt,1=eta][0=sin terms,1=cos terms][correction term index]
 592
 593   ClassDef(AliFlowAnalysisWithQCumulants, 0);
 594 };
 595
 596 //================================================================================================================
 597
 598 #endif
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