+++ /dev/null
-/*************************************************************************
-* Copyright(c) 1998-2008, ALICE Experiment at CERN, All rights reserved. *
-* *
-* Author: The ALICE Off-line Project. *
-* Contributors are mentioned in the code where appropriate. *
-* *
-* Permission to use, copy, modify and distribute this software and its *
-* documentation strictly for non-commercial purposes is hereby granted *
-* without fee, provided that the above copyright notice appears in all *
-* copies and that both the copyright notice and this permission notice *
-* appear in the supporting documentation. The authors make no claims *
-* about the suitability of this software for any purpose. It is *
-* provided "as is" without express or implied warranty. *
-**************************************************************************/
-
-#define ALIFLOWANALYSISWITHSCALARPRODUCT_CXX
-
-#include "TFile.h"
-#include "TList.h"
-#include "TMath.h"
-#include "TString.h"
-#include "TProfile.h"
-#include "TVector2.h"
-#include "TH1D.h"
-#include "TH1F.h"
-#include "TH2D.h"
-
-#include "AliFlowCommonConstants.h"
-#include "AliFlowEventSimple.h"
-#include "AliFlowVector.h"
-#include "AliFlowTrackSimple.h"
-#include "AliFlowCommonHist.h"
-#include "AliFlowCommonHistResults.h"
-#include "AliFlowAnalysisWithScalarProduct.h"
-
-//////////////////////////////////////////////////////////////////////////////
-// AliFlowAnalysisWithScalarProduct:
-// Description: Maker to analyze Flow from the Scalar Product method.
-// authors: Naomi van del Kolk (kolk@nikhef.nl)
-// Ante Bilandzic (anteb@nikhef.nl)
-// mods: Carlos Perez (cperez@nikhef.nl)
-//////////////////////////////////////////////////////////////////////////////
-
-ClassImp(AliFlowAnalysisWithScalarProduct)
-
-//-----------------------------------------------------------------------
-AliFlowAnalysisWithScalarProduct::AliFlowAnalysisWithScalarProduct():
-fDebug(0),
-fUsePhiWeights(0),
-fApplyCorrectionForNUA(0),
-fHarmonic(2),
-fNormalizationType(1),
-fTotalQvector(3),
-fWeightsList(NULL),
-fHistList(NULL),
-fHistProConfig(NULL),
-fHistProQaQbNorm(NULL),
-fHistSumOfWeights(NULL),
-fHistProNUAq(NULL),
-fHistProQNorm(NULL),
-fHistProQaQb(NULL),
-fHistProQaQbM(NULL),
-fHistMaMb(NULL),
-fHistQNormQaQbNorm(NULL),
-fHistQaNormMa(NULL),
-fHistQbNormMb(NULL),
-fResolution(NULL),
-fHistQaQb(NULL),
-fHistQaQbCos(NULL),
-fCommonHists(NULL),
-fCommonHistsuQ(NULL),
-fCommonHistsRes(NULL)
-{
- //ctor
- for(int i=0; i!=2; ++i) {
- fPhiWeightsSub[i] = NULL;
- for(int j=0; j!=2; ++j) {
- fHistProUQ[i][j] = NULL;
- fHistProUQQaQb[i][j] = NULL;
- fHistProNUAu[i][j][0] = NULL;
- fHistProNUAu[i][j][1] = NULL;
- for(int k=0; k!=3; ++k)
- fHistSumOfWeightsu[i][j][k] = NULL;
- }
- }
-}
-//-----------------------------------------------------------------------
-AliFlowAnalysisWithScalarProduct::~AliFlowAnalysisWithScalarProduct()
-{
- //destructor
- delete fWeightsList;
- delete fHistList;
-}
-//-----------------------------------------------------------------------
-void AliFlowAnalysisWithScalarProduct::Init() {
- //Define all histograms
- printf("---Analysis with the Scalar Product Method--- Init\n");
- printf("--- fNormalizationType %d ---\n", fNormalizationType);
- //save old value and prevent histograms from being added to directory
- //to avoid name clashes in case multiple analaysis objects are used
- //in an analysis
- Bool_t oldHistAddStatus = TH1::AddDirectoryStatus();
- TH1::AddDirectory(kFALSE);
-
- fHistList = new TList();
- fHistList->SetName("cobjSP");
- fHistList->SetOwner();
-
- TList *uQRelated = new TList();
- uQRelated->SetName("uQ");
- uQRelated->SetOwner();
-
- TList *nuaRelated = new TList();
- nuaRelated->SetName("NUA");
- nuaRelated->SetOwner();
-
- TList *errorRelated = new TList();
- errorRelated->SetName("error");
- errorRelated->SetOwner();
-
- TList *tQARelated = new TList();
- tQARelated->SetName("QA");
- tQARelated->SetOwner();
-
- fCommonHists = new AliFlowCommonHist("AliFlowCommonHist_SP");
- (fCommonHists->GetHarmonic())->Fill(0.5,fHarmonic); // store harmonic
- fHistList->Add(fCommonHists);
-
- fCommonHistsuQ = new AliFlowCommonHist("AliFlowCommonHist_uQ");
- (fCommonHistsuQ->GetHarmonic())->Fill(0.5,fHarmonic); // store harmonic
- fHistList->Add(fCommonHistsuQ);
-
- fCommonHistsRes = new AliFlowCommonHistResults("AliFlowCommonHistResults_SP","",fHarmonic);
- fHistList->Add(fCommonHistsRes);
-
- fHistProConfig = new TProfile("FlowPro_Flags_SP","Flow_Flags_SP",4,0.5,4.5,"s");
- fHistProConfig->GetXaxis()->SetBinLabel(1,"fApplyCorrectionForNUA");
- fHistProConfig->GetXaxis()->SetBinLabel(2,"fNormalizationType");
- fHistProConfig->GetXaxis()->SetBinLabel(3,"fUsePhiWeights");
- fHistProConfig->GetXaxis()->SetBinLabel(4,"fHarmonic");
- fHistProConfig->Fill(1,fApplyCorrectionForNUA);
- fHistProConfig->Fill(2,fNormalizationType);
- fHistProConfig->Fill(3,fUsePhiWeights);
- fHistProConfig->Fill(4,fHarmonic);
- fHistList->Add(fHistProConfig);
-
- fHistProQaQbNorm = new TProfile("FlowPro_QaQbNorm_SP","FlowPro_QaQbNorm_SP", 1, 0.5, 1.5,"s");
- fHistProQaQbNorm->SetYTitle("<QaQb/Na/Nb>");
- errorRelated->Add(fHistProQaQbNorm);
-
- fHistProNUAq = new TProfile("FlowPro_NUAq_SP","FlowPro_NUAq_SP", 6, 0.5, 6.5,"s");
- fHistProNUAq->GetXaxis()->SetBinLabel( 1,"<<sin(#Phi_{a})>>");
- fHistProNUAq->GetXaxis()->SetBinLabel( 2,"<<cos(#Phi_{a})>>");
- fHistProNUAq->GetXaxis()->SetBinLabel( 3,"<<sin(#Phi_{b})>>");
- fHistProNUAq->GetXaxis()->SetBinLabel( 4,"<<cos(#Phi_{b})>>");
- fHistProNUAq->GetXaxis()->SetBinLabel( 5,"<<sin(#Phi_{t})>>");
- fHistProNUAq->GetXaxis()->SetBinLabel( 6,"<<cos(#Phi_{t})>>");
- nuaRelated->Add(fHistProNUAq);
-
- fHistSumOfWeights = new TH1D("Flow_SumOfWeights_SP","Flow_SumOfWeights_SP",2,0.5, 2.5);
- fHistSumOfWeights->GetXaxis()->SetBinLabel( 1,"#Sigma Na*Nb");
- fHistSumOfWeights->GetXaxis()->SetBinLabel( 2,"#Sigma (Na*Nb)^2");
- errorRelated->Add(fHistSumOfWeights);
-
- TString sPOI[2] = {"RP","POI"}; // backward compatibility
- TString sEta[2] = {"Pt","eta"}; // backward compatibility
- TString sTitle[2] = {"p_{T} [GeV]","#eta"};
- TString sWeights[3] = {"uQ","uQuQ","uQQaQb"};
- Int_t iNbins[2];
- Double_t dMin[2], dMax[2];
- iNbins[0] = AliFlowCommonConstants::GetMaster()->GetNbinsPt();
- iNbins[1] = AliFlowCommonConstants::GetMaster()->GetNbinsEta();
- dMin[0] = AliFlowCommonConstants::GetMaster()->GetPtMin();
- dMin[1] = AliFlowCommonConstants::GetMaster()->GetEtaMin();
- dMax[0] = AliFlowCommonConstants::GetMaster()->GetPtMax();
- dMax[1] = AliFlowCommonConstants::GetMaster()->GetEtaMax();
- for(Int_t iPOI=0; iPOI!=2; ++iPOI) for(Int_t iSpace=0; iSpace!=2; ++iSpace) {
- // uQ
- fHistProUQ[iPOI][iSpace] = new TProfile( Form( "FlowPro_UQ_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- Form( "FlowPro_UQ%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- iNbins[iSpace], dMin[iSpace], dMax[iSpace], "s");
- fHistProUQ[iPOI][iSpace]->SetXTitle(sTitle[iSpace].Data());
- fHistProUQ[iPOI][iSpace]->SetYTitle("<uQ>");
- uQRelated->Add(fHistProUQ[iPOI][iSpace]);
-
- // NUAu
- fHistProNUAu[iPOI][iSpace][0] = new TProfile( Form("FlowPro_NUAu_%s%s_IM_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- Form("FlowPro_NUAu_%s%s_IM_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
- fHistProNUAu[iPOI][iSpace][0]->SetXTitle(sTitle[iSpace].Data());
- nuaRelated->Add(fHistProNUAu[iPOI][iSpace][0]);
- fHistProNUAu[iPOI][iSpace][1] = new TProfile( Form("FlowPro_NUAu_%s%s_RE_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- Form("FlowPro_NUAu_%s%s_RE_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
- fHistProNUAu[iPOI][iSpace][1]->SetXTitle(sTitle[iSpace].Data());
- nuaRelated->Add(fHistProNUAu[iPOI][iSpace][1]);
-
- // uQ QaQb
- fHistProUQQaQb[iPOI][iSpace] = new TProfile( Form("FlowPro_UQQaQb_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- Form("FlowPro_UQQaQb_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
- iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
- fHistProUQQaQb[iPOI][iSpace]->SetXTitle(sTitle[iSpace].Data());
- fHistProUQQaQb[iPOI][iSpace]-> SetYTitle("<Qu QaQb>");
- errorRelated->Add(fHistProUQQaQb[iPOI][iSpace]);
-
- // uWeights
- for(Int_t i=0; i!=3; ++i) {
- fHistSumOfWeightsu[iPOI][iSpace][i] = new TH1D( Form("Flow_SumOfWeights_%s%s_%s_SP",sWeights[i].Data(),sPOI[iPOI].Data(),sEta[iSpace].Data()),
- Form("Flow_SumOfWeights_%s%s_%s_SP",sWeights[i].Data(),sPOI[iPOI].Data(),sEta[iSpace].Data()),
- iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
- fHistSumOfWeightsu[iPOI][iSpace][i]->SetYTitle(sWeights[i].Data());
- fHistSumOfWeightsu[iPOI][iSpace][i]->SetXTitle(sTitle[iSpace].Data());
- errorRelated->Add(fHistSumOfWeightsu[iPOI][iSpace][i]);
- }
- }
- //weights
- if(fUsePhiWeights) {
- if(!fWeightsList) {
- printf( "WARNING: fWeightsList is NULL in the Scalar Product method.\n" );
- exit(0);
- }
- fPhiWeightsSub[0] = dynamic_cast<TH1F*>
- (fWeightsList->FindObject("phi_weights_sub0"));
- if(!fPhiWeightsSub[0]) {
- printf( "WARNING: phi_weights_sub0 not found in the Scalar Product method.\n" );
- exit(0);
- }
- nuaRelated->Add( fPhiWeightsSub[0] );
- fPhiWeightsSub[1] = dynamic_cast<TH1F*>
- (fWeightsList->FindObject("phi_weights_sub1"));
- if(!fPhiWeightsSub[1]) {
- printf( "WARNING: phi_weights_sub1 not found in the Scalar Product method.\n" );
- exit(0);
- }
- nuaRelated->Add( fPhiWeightsSub[1] );
- }
-
-
- fHistProQNorm = new TProfile("FlowPro_QNorm_SP","FlowPro_QNorm_SP", 1,0.5,1.5,"s");
- fHistProQNorm->SetYTitle("<|Qa+Qb|>");
- tQARelated->Add(fHistProQNorm);
-
- fHistProQaQb = new TProfile("FlowPro_QaQb_SP","FlowPro_QaQb_SP", 1,0.5,1.5,"s");
- fHistProQaQb->SetYTitle("<QaQb>");
- tQARelated->Add(fHistProQaQb);
-
- fHistProQaQbM = new TProfile("FlowPro_QaQbvsM_SP","FlowPro_QaQbvsM_SP",1000,0.0,10000);
- fHistProQaQbM->SetYTitle("<QaQb>");
- fHistProQaQbM->SetXTitle("M");
- fHistProQaQbM->Sumw2();
- tQARelated->Add(fHistProQaQbM);
-
- fHistMaMb = new TH2D("Flow_MavsMb_SP","Flow_MavsMb_SP",100,0.,100.,100,0.,100.);
- fHistMaMb->SetYTitle("Ma");
- fHistMaMb->SetXTitle("Mb");
- tQARelated->Add(fHistMaMb);
-
- fHistQNormQaQbNorm = new TH2D("Flow_QNormvsQaQbNorm_SP","Flow_QNormvsQaQbNorm_SP",88,-1.1,1.1,22,0.,1.1);
- fHistQNormQaQbNorm->SetYTitle("|Q/Mq|");
- fHistQNormQaQbNorm->SetXTitle("QaQb/MaMb");
- tQARelated->Add(fHistQNormQaQbNorm);
-
- fHistQaNormMa = new TH2D("Flow_QaNormvsMa_SP","Flow_QaNormvsMa_SP",100,0.,100.,22,0.,1.1);
- fHistQaNormMa->SetYTitle("|Qa/Ma|");
- fHistQaNormMa->SetXTitle("Ma");
- tQARelated->Add(fHistQaNormMa);
-
- fHistQbNormMb = new TH2D("Flow_QbNormvsMb_SP","Flow_QbNormvsMb_SP",100,0.,100.,22,0.,1.1);
- fHistQbNormMb->SetYTitle("|Qb/Mb|");
- fHistQbNormMb->SetXTitle("Mb");
- tQARelated->Add(fHistQbNormMb);
-
- fResolution = new TH1D("Flow_resolution_SP","Flow_resolution_SP",100,-1.0,1.0);
- fResolution->SetYTitle("dN/d(Cos2(#phi_a - #phi_b))");
- fResolution->SetXTitle("Cos2(#phi_a - #phi_b)");
- tQARelated->Add(fResolution);
-
- fHistQaQb = new TH1D("Flow_QaQb_SP","Flow_QaQb_SP",200,-100.,100.);
- fHistQaQb->SetYTitle("dN/dQaQb");
- fHistQaQb->SetXTitle("dQaQb");
- tQARelated->Add(fHistQaQb);
-
- fHistQaQbCos = new TH1D("Flow_QaQbCos_SP","Flow_QaQbCos_SP",63,0.,TMath::Pi());
- fHistQaQbCos->SetYTitle("dN/d#phi");
- fHistQaQbCos->SetXTitle("#phi");
- tQARelated->Add(fHistQaQbCos);
-
- fHistList->Add(uQRelated);
- fHistList->Add(nuaRelated);
- fHistList->Add(errorRelated);
- fHistList->Add(tQARelated);
-
- TH1::AddDirectory(oldHistAddStatus);
-}
-
-//-----------------------------------------------------------------------
-void AliFlowAnalysisWithScalarProduct::Make(AliFlowEventSimple* anEvent) {
- // Scalar Product method
- if (!anEvent) return; // for coverity
-
- // Get Q vectors for the subevents
- AliFlowVector* vQarray = new AliFlowVector[2];
- if (fUsePhiWeights)
- anEvent->Get2Qsub(vQarray,fHarmonic,fWeightsList,kTRUE);
- else
- anEvent->Get2Qsub(vQarray,fHarmonic);
- // Subevent a
- AliFlowVector vQa = vQarray[0];
- // Subevent b
- AliFlowVector vQb = vQarray[1];
- delete [] vQarray;
-
- Double_t dMa = vQa.GetMult();
- if( dMa < 2 ) return;
- Double_t dMb = vQb.GetMult();
- if( dMb < 2 ) return;
- //fill control histograms
- if (fUsePhiWeights) {
- fCommonHists->FillControlHistograms(anEvent,fWeightsList,kTRUE);
- } else {
- fCommonHists->FillControlHistograms(anEvent);
- }
-
- //Normalizing: weight the Q vectors for the subevents
- Double_t dNa = fNormalizationType ? dMa: vQa.Mod(); // SP corresponds to true
- Double_t dNb = fNormalizationType ? dMb: vQb.Mod(); // SP corresponds to true
- Double_t dWa = fNormalizationType ? dMa: 1; // SP corresponds to true
- Double_t dWb = fNormalizationType ? dMb: 1; // SP corresponds to true
-
- //Scalar product of the two subevents vectors
- Double_t dQaQb = (vQa*vQb);
-
- //printf("==============\n");
- //printf("vQa: { %f, %f }\n",vQa.X(),vQa.Y());
- //printf("QaQb/|Qa||Qb|: %f\n",dQaQb/vQa.Mod()/vQb.Mod());
- //printf("QaQb/|Ma||Mb|: %f\n",dQaQb/dMa/dMb);
-
- // 01 10 11 <=== fTotalQVector
- // Q ?= Qa or Qb or QaQb
- AliFlowVector vQm;
- vQm.Set(0.0,0.0);
- Double_t dNq=0;
- if( (fTotalQvector%2)>0 ) { // 01 or 11
- vQm += vQa;
- dNq += dMa;
- }
- if( fTotalQvector>1 ) { // 10 or 11
- vQm += vQb;
- dNq += dMb;
- }
- Double_t dWq = fNormalizationType ? dNq: 1; // SP corresponds to true
- dNq = fNormalizationType ? dNq: vQm.Mod(); // SP corresponds to true
-
- //fill some EP control histograms
- fHistProQaQbNorm->Fill(1.,dQaQb/dNa/dNb,dWa*dWb); //Fill (QaQb/NaNb) with weight (WaWb).
- //needed for the error calculation:
- fHistSumOfWeights -> Fill(1.,dWa*dWb);
- fHistSumOfWeights -> Fill(2.,pow(dWa*dWb,2.));
- //needed for correcting non-uniform acceptance:
- fHistProNUAq->Fill(1.,vQa.Y()/dNa,dWa); // to get <<sin(phi_a)>>
- fHistProNUAq->Fill(2.,vQa.X()/dNa,dWa); // to get <<cos(phi_a)>>
- fHistProNUAq->Fill(3.,vQb.Y()/dNb,dWb); // to get <<sin(phi_b)>>
- fHistProNUAq->Fill(4.,vQb.X()/dNb,dWb); // to get <<cos(phi_b)>>
- fHistProNUAq->Fill(5.,vQm.Y()/dNq,dWq);
- fHistProNUAq->Fill(6.,vQm.X()/dNq,dWq);
-
- //loop over the tracks of the event
- AliFlowTrackSimple* pTrack = NULL;
- Int_t iNumberOfTracks = anEvent->NumberOfTracks();
- for (Int_t i=0;i<iNumberOfTracks;i++) {
- pTrack = anEvent->GetTrack(i) ;
- if (!pTrack) continue;
- Double_t dPhi = pTrack->Phi();
- Double_t dPt = pTrack->Pt();
- Double_t dEta = pTrack->Eta();
-
- //calculate vU
- TVector2 vU;
- Double_t dUX = TMath::Cos(fHarmonic*dPhi);
- Double_t dUY = TMath::Sin(fHarmonic*dPhi);
- vU.Set(dUX,dUY);
-
- // 01 10 11 <=== fTotalQVector
- // Q ?= Qa or Qb or QaQb
- vQm.Set(0.0,0.0); //start the loop fresh
- Double_t dMq=0;
- if( (fTotalQvector%2)>0 ) { // 01 or 11
- vQm += vQa;
- dMq += dMa;
- }
- if( fTotalQvector>1 ) { // 10 or 11
- vQm += vQb;
- dMq += dMb;
- }
-
- //remove track if in subevent
- for(Int_t inSubEvent=0; inSubEvent!=2; ++inSubEvent) {
- if( !pTrack->InSubevent( inSubEvent ) )
- continue;
- if(inSubEvent==0)
- if( (fTotalQvector%2)!=1 )
- continue;
- if(inSubEvent==1)
- if( fTotalQvector>0 )
- continue;
- Double_t dW=1;
- Double_t dPhiCenter = dPhi;
- //if phi weights are used
- if(fUsePhiWeights && fPhiWeightsSub[inSubEvent]) {
- Int_t iNBinsPhiSub = fPhiWeightsSub[inSubEvent]->GetNbinsX();
- Int_t phiBin = 1+(Int_t)(TMath::Floor(dPhi*iNBinsPhiSub/TMath::TwoPi()));
- dW = fPhiWeightsSub[inSubEvent]->GetBinContent(phiBin);
- dPhiCenter = fPhiWeightsSub[inSubEvent]->GetBinCenter(phiBin);
- }
- Double_t dQmX = vQm.X() - dW*(pTrack->Weight())* TMath::Cos(fHarmonic*dPhiCenter);
- Double_t dQmY = vQm.Y() - dW*(pTrack->Weight())* TMath::Sin(fHarmonic*dPhiCenter);
- vQm.Set(dQmX,dQmY);
- dMq = dMq-dW*pTrack->Weight();
- }
- dNq = fNormalizationType ? dMq : vQm.Mod();
- dWq = fNormalizationType ? dMq : 1;
-
- //Filling QA (for compatibility with previous version)
- fHistProQaQb->Fill(1,vQa*vQb,1);
- fHistProQaQbM->Fill(anEvent->GetNumberOfRPs()+0.5,(vQa*vQb)/dMa/dMb,dMa*dMb);
- fHistQaQbCos->Fill(TMath::ACos((vQa*vQb)/vQa.Mod()/vQb.Mod()));
- fResolution->Fill( TMath::Cos( vQa.Phi()-vQb.Phi() ) );
- fHistQaQb->Fill(vQa*vQb);
- fHistMaMb->Fill(dMb,dMa);
- fHistProQNorm->Fill(1,vQm.Mod()/dMq,dMq);
- fHistQNormQaQbNorm->Fill((vQa*vQb)/dMa/dMb,vQm.Mod()/dMq);
- fHistQaNormMa->Fill(dMa,vQa.Mod()/dMa);
- fHistQbNormMb->Fill(dMb,vQb.Mod()/dMb);
-
- Double_t dUQ = vU*vQm;
-
- //fill the profile histograms
- for(Int_t iPOI=0; iPOI!=2; ++iPOI) {
- if( (iPOI==0)&&(!pTrack->InRPSelection()) )
- continue;
- if( (iPOI==1)&&(!pTrack->InPOISelection()) )
- continue;
- fHistProUQ[iPOI][0]->Fill(dPt ,dUQ/dNq,dWq); //Fill (uQ/Nq') with weight (Nq')
- fHistProUQ[iPOI][1]->Fill(dEta,dUQ/dNq,dWq); //Fill (uQ/Nq') with weight (Nq')
- //needed for the error calculation:
- fHistProUQQaQb[iPOI][0]-> Fill(dPt ,dUQ/dNq*dQaQb/dNa/dNb,dWq*dWa*dWb); //Fill [Qu/Nq']*[QaQb/NaNb] with weight (Nq')NaNb
- fHistProUQQaQb[iPOI][1]-> Fill(dEta,dUQ/dNq*dQaQb/dNa/dNb,dWq*dWa*dWb); //Fill [Qu/Nq']*[QaQb/NaNb] with weight (Nq')NaNb
- fHistSumOfWeightsu[iPOI][0][0]->Fill(dPt ,dWq); // sum of Nq'
- fHistSumOfWeightsu[iPOI][0][1]->Fill(dPt ,pow(dWq,2.));// sum of Nq'^2
- fHistSumOfWeightsu[iPOI][0][2]->Fill(dPt ,dWq*dWa*dWb);// sum of Nq'*Na*Nb
- fHistSumOfWeightsu[iPOI][1][0]->Fill(dEta,dWq); // sum of Nq'
- fHistSumOfWeightsu[iPOI][1][1]->Fill(dEta,pow(dWq,2.));// sum of Nq'^2
- fHistSumOfWeightsu[iPOI][1][2]->Fill(dEta,dNq*dWa*dWb);// sum of Nq'*Na*Nb
- //NUA:
- fHistProNUAu[iPOI][0][0]->Fill(dPt,dUY,1.); //sin u
- fHistProNUAu[iPOI][0][1]->Fill(dPt,dUX,1.); //cos u
- fHistProNUAu[iPOI][1][0]->Fill(dEta,dUY,1.); //sin u
- fHistProNUAu[iPOI][1][1]->Fill(dEta,dUX,1.); //cos u
- }
- }//loop over tracks
-
-}
-
-//--------------------------------------------------------------------
-void AliFlowAnalysisWithScalarProduct::GetOutputHistograms(TList *outputListHistos){
- //get pointers to all output histograms (called before Finish())
- fHistList = outputListHistos;
-
- fCommonHists = (AliFlowCommonHist*) fHistList->FindObject("AliFlowCommonHist_SP");
- fCommonHistsuQ = (AliFlowCommonHist*) fHistList->FindObject("AliFlowCommonHist_uQ");
- fCommonHistsRes = (AliFlowCommonHistResults*) fHistList->FindObject("AliFlowCommonHistResults_SP");
- fHistProConfig = (TProfile*) fHistList->FindObject("FlowPro_Flags_SP");
- if(!fHistProConfig) printf("Error loading fHistProConfig\n");
- TList *uQ = (TList*) fHistList->FindObject("uQ");
- TList *nua = (TList*) fHistList->FindObject("NUA");
- TList *error = (TList*) fHistList->FindObject("error");
-
- fHistProQaQbNorm = (TProfile*) error->FindObject("FlowPro_QaQbNorm_SP");
- if(!fHistProQaQbNorm) printf("Error loading fHistProQaQbNorm\n");
- fHistProNUAq = (TProfile*) nua->FindObject("FlowPro_NUAq_SP");
- if(!fHistProNUAq) printf("Error loading fHistProNUAq\n");
- fHistSumOfWeights = (TH1D*) error->FindObject("Flow_SumOfWeights_SP");
- if(!fHistSumOfWeights) printf("Error loading fHistSumOfWeights\n");
-
- TString sPOI[2] = {"RP","POI"};
- TString sEta[2] = {"Pt","eta"};
- TString sWeights[3] = {"uQ","uQuQ","uQQaQb"};
- Int_t iNbins[2];
- Double_t dMin[2], dMax[2];
-
- iNbins[0] = AliFlowCommonConstants::GetMaster()->GetNbinsPt();
- iNbins[1] = AliFlowCommonConstants::GetMaster()->GetNbinsEta();
- dMin[0] = AliFlowCommonConstants::GetMaster()->GetPtMin();
- dMin[1] = AliFlowCommonConstants::GetMaster()->GetEtaMin();
- dMax[0] = AliFlowCommonConstants::GetMaster()->GetPtMax();
- dMax[1] = AliFlowCommonConstants::GetMaster()->GetEtaMax();
- for(Int_t iPOI=0; iPOI!=2; ++iPOI) for(Int_t iSpace=0; iSpace!=2; ++iSpace) {
- fHistProUQ[iPOI][iSpace] = (TProfile*) uQ->FindObject( Form( "FlowPro_UQ_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
- if(!fHistProUQ[iPOI][iSpace]) printf("Error loading fHistProUQ[%d][%d]\n",iPOI,iSpace);
- fHistProNUAu[iPOI][iSpace][0] = (TProfile*) nua->FindObject( Form("FlowPro_NUAu_%s%s_IM_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
- if(!fHistProNUAu[iPOI][iSpace][0]) printf("Error loading fHistProNUAu[%d][%d][0]\n",iPOI,iSpace);
- fHistProNUAu[iPOI][iSpace][1] = (TProfile*) nua->FindObject( Form("FlowPro_NUAu_%s%s_RE_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
- if(!fHistProNUAu[iPOI][iSpace][1]) printf("Error loading fHistProNUAu[%d][%d][1]\n",iPOI,iSpace);
- fHistProUQQaQb[iPOI][iSpace] = (TProfile*) error->FindObject( Form("FlowPro_UQQaQb_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
- for(Int_t i=0; i!=3; ++i){
- fHistSumOfWeightsu[iPOI][iSpace][i] = (TH1D*) error->FindObject( Form("Flow_SumOfWeights_%s%s_%s_SP",sWeights[i].Data(),sPOI[iPOI].Data(),sEta[iSpace].Data()) );
- if(!fHistSumOfWeightsu[iPOI][iSpace][i]) printf("Error loading fHistSumOfWeightsu[%d][%d][%d]\n",iPOI,iSpace,i);
- }
- }
- if(fHistProConfig) {
- fApplyCorrectionForNUA = (Int_t) fHistProConfig->GetBinContent(1);
- fNormalizationType = (Int_t) fHistProConfig->GetBinContent(2);
- fUsePhiWeights = (Int_t) fHistProConfig->GetBinContent(3);
- fHarmonic = (Int_t) fHistProConfig->GetBinContent(4);
- }
-}
-
-//--------------------------------------------------------------------
-void AliFlowAnalysisWithScalarProduct::Finish() {
- //calculate flow and fill the AliFlowCommonHistResults
- printf("AliFlowAnalysisWithScalarProduct::Finish()\n");
-
- // access harmonic:
- fApplyCorrectionForNUA = fHistProConfig->GetBinContent(1);
- fNormalizationType = fHistProConfig->GetBinContent(2);
- fHarmonic = fHistProConfig->GetBinContent(4);
-
- printf("*************************************\n");
- printf("*************************************\n");
- printf(" Integrated flow from \n");
- printf(" Scalar Product \n\n");
- if(!fNormalizationType)
- printf(" (BehaveAsEP) \n\n");
-
- //Calculate reference flow
- //----------------------------------
- //weighted average over (QaQb/NaNb) with weight (NaNb)
- Double_t dEntriesQaQb = fHistProQaQbNorm->GetEntries();
- if( dEntriesQaQb < 1 )
- return;
- Double_t dQaQb = fHistProQaQbNorm->GetBinContent(1);
- if( dQaQb < 0 )
- return;
- Double_t dSpreadQaQb = fHistProQaQbNorm->GetBinError(1);
-
- //NUA qq:
- Double_t dImQa = fHistProNUAq->GetBinContent(1);
- Double_t dReQa = fHistProNUAq->GetBinContent(2);
- Double_t dImQb = fHistProNUAq->GetBinContent(3);
- Double_t dReQb = fHistProNUAq->GetBinContent(4);
- if(fApplyCorrectionForNUA)
- dQaQb = dQaQb - dImQa*dImQb - dReQa*dReQb;
- printf("QaQb = %f +- %f\n", dQaQb, (dSpreadQaQb/TMath::Sqrt(dEntriesQaQb)) );
- Double_t dV = TMath::Sqrt(dQaQb);
-
- printf("ResSub = %f\n", dV );
- printf("fTotalQvector %d \n",fTotalQvector);
- if(!fNormalizationType) {
- if(fTotalQvector>2) {
- dV = ComputeResolution( TMath::Sqrt2()*FindXi(dV,1e-6) );
- printf("An estimate of the event plane resolution is: %f\n", dV );
- }
- }
- printf("ResTot = %f\n", dV );
- //statistical error of dQaQb:
- // statistical error = term1 * spread * term2:
- // term1 = sqrt{sum_{i=1}^{N} w^2}/(sum_{i=1}^{N} w)
- // term2 = 1/sqrt(1-term1^2)
- Double_t dSumOfLinearWeights = fHistSumOfWeights->GetBinContent(1);
- Double_t dSumOfQuadraticWeights = fHistSumOfWeights->GetBinContent(2);
- Double_t dTerm1 = 0.;
- Double_t dTerm2 = 0.;
- if(dSumOfLinearWeights)
- dTerm1 = pow(dSumOfQuadraticWeights,0.5)/dSumOfLinearWeights;
- if(1.-pow(dTerm1,2.) > 0.)
- dTerm2 = 1./pow(1-pow(dTerm1,2.),0.5);
- Double_t dStatErrorQaQb = dTerm1 * dSpreadQaQb * dTerm2;
- Double_t dVerr = 0.;
- if(dQaQb > 0.)
- dVerr = (1./(2.*pow(dQaQb,0.5)))*dStatErrorQaQb;
- fCommonHistsRes->FillIntegratedFlow(dV,dVerr);
- printf("v%d(subevents) = %f +- %f\n",fHarmonic,dV,dVerr);
-
- Int_t iNbins[2];
- iNbins[0] = AliFlowCommonConstants::GetMaster()->GetNbinsPt();
- iNbins[1] = AliFlowCommonConstants::GetMaster()->GetNbinsEta();
-
- //Calculate differential flow and integrated flow (RP, POI)
- //---------------------------------------------------------
- //v as a function of eta for RP selection
- for(Int_t iRFPorPOI=0; iRFPorPOI != 2; ++iRFPorPOI)
- for(Int_t iPTorETA=0; iPTorETA != 2; ++iPTorETA)
- for(Int_t b=1; b != iNbins[iPTorETA]+1; ++b) {
- Double_t duQpro = fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b);
- if(fApplyCorrectionForNUA)
- duQpro = duQpro
- - fHistProNUAu[iRFPorPOI][iPTorETA][1]->GetBinContent(b)*fHistProNUAq->GetBinContent(6)
- - fHistProNUAu[iRFPorPOI][iPTorETA][0]->GetBinContent(b)*fHistProNUAq->GetBinContent(5);
- Double_t dv2pro = -999.;
- if( TMath::Abs(dV!=0.) ) { dv2pro = duQpro/dV; }
- //calculate the statistical error
- Double_t dv2ProErr = CalculateStatisticalError(iRFPorPOI, iPTorETA, b, dStatErrorQaQb);
- if( (iRFPorPOI==0)&&(iPTorETA==0) )
- fCommonHistsRes->FillDifferentialFlowPtRP( b, dv2pro, dv2ProErr);
- if( (iRFPorPOI==0)&&(iPTorETA==1) )
- fCommonHistsRes->FillDifferentialFlowEtaRP( b, dv2pro, dv2ProErr);
- if( (iRFPorPOI==1)&&(iPTorETA==0) )
- fCommonHistsRes->FillDifferentialFlowPtPOI( b, dv2pro, dv2ProErr);
- if( (iRFPorPOI==1)&&(iPTorETA==1) )
- fCommonHistsRes->FillDifferentialFlowEtaPOI(b, dv2pro, dv2ProErr);
- //printf("POI %d | PT %d >>> %f +- %f\n",iRFPorPOI,iPTorETA,dv2pro,dv2ProErr);
- }
-
- printf("\n");
- printf("*************************************\n");
- printf("*************************************\n");
-}
-
-//-----------------------------------------------------------------------
-void AliFlowAnalysisWithScalarProduct::WriteHistograms(TDirectoryFile *outputFileName) const {
- //store the final results in output .root file
- outputFileName->Add(fHistList);
- outputFileName->Write(outputFileName->GetName(), TObject::kSingleKey);
-}
-
-//--------------------------------------------------------------------
-Double_t AliFlowAnalysisWithScalarProduct::CalculateStatisticalError(Int_t iRFPorPOI, Int_t iPTorETA, Int_t b, Double_t aStatErrorQaQb) const {
- //calculate the statistical error for differential flow for bin b
- Double_t duQproSpread = fHistProUQ[iRFPorPOI][iPTorETA]->GetBinError(b);
- Double_t sumOfMq = fHistSumOfWeightsu[iRFPorPOI][iPTorETA][0]->GetBinContent(b);
- Double_t sumOfMqSquared = fHistSumOfWeightsu[iRFPorPOI][iPTorETA][1]->GetBinContent(b);
- Double_t dQaQb = fHistProQaQbNorm->GetBinContent(1);
-
- //non-isotropic terms:
- if(fApplyCorrectionForNUA) {
- Double_t dImQa = fHistProNUAq->GetBinContent(1); // <<sin(phi_a)>>
- Double_t dReQa = fHistProNUAq->GetBinContent(2); // <<cos(phi_a)>>
- Double_t dImQb = fHistProNUAq->GetBinContent(3); // <<sin(phi_b)>>
- Double_t dReQb = fHistProNUAq->GetBinContent(4); // <<cos(phi_b)>>
- dQaQb = dQaQb - dImQa*dImQb - dReQa*dReQb;
- }
-
- Double_t dTerm1 = 0.;
- Double_t dTerm2 = 0.;
- if(sumOfMq) {
- dTerm1 = (pow(sumOfMqSquared,0.5)/sumOfMq);
- }
- if(1.-pow(dTerm1,2.)>0.) {
- dTerm2 = 1./pow(1.-pow(dTerm1,2.),0.5);
- }
- Double_t duQproErr = dTerm1*duQproSpread*dTerm2;
- // covariances:
- Double_t dTerm1Cov = fHistSumOfWeightsu[iRFPorPOI][iPTorETA][2]->GetBinContent(b);
- Double_t dTerm2Cov = fHistSumOfWeights->GetBinContent(1);
- Double_t dTerm3Cov = sumOfMq;
- Double_t dWeightedCovariance = 0.;
- if(dTerm2Cov*dTerm3Cov>0.) {
- Double_t dDenominator = 1.-dTerm1Cov/(dTerm2Cov*dTerm3Cov);
- Double_t dPrefactor = dTerm1Cov/(dTerm2Cov*dTerm3Cov);
- if(dDenominator!=0) {
- Double_t dCovariance = ( fHistProUQQaQb[iRFPorPOI][iPTorETA]->GetBinContent(b)-dQaQb*fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b))/dDenominator;
- dWeightedCovariance = dCovariance*dPrefactor;
- }
- }
- Double_t dv2ProErr = 0.; // final statitical error:
- if(dQaQb>0.) {
- Double_t dv2ProErrorSquared = (1./4.)*pow(dQaQb,-3.)*
- (pow(fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b),2.)*pow(aStatErrorQaQb,2.)
- + 4.*pow(dQaQb,2.)*pow(duQproErr,2.)
- - 4.*dQaQb*fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b)*dWeightedCovariance);
- if(dv2ProErrorSquared>0.) dv2ProErr = pow(dv2ProErrorSquared,0.5);
- }
- return dv2ProErr;
-}
-
-Double_t AliFlowAnalysisWithScalarProduct::ComputeResolution( Double_t x ) const {
- // Computes resolution for Event Plane method
- if(x > 51.3) {
- printf("Warning: Estimation of total resolution might be WRONG. Please check!");
- return 0.99981;
- }
- Double_t a = x*x/4;
- Double_t b = TMath::Exp(-a)*TMath::BesselI0(a)+TMath::Exp(-a)*TMath::BesselI1(a);
- return TMath::Sqrt(TMath::PiOver2())/2*x*b;
-}
-
-Double_t AliFlowAnalysisWithScalarProduct::FindXi( Double_t res, Double_t prec ) const {
- // Computes x(res) for Event Plane method
- if(res > 0.99981) {
- printf("Warning: Resolution for subEvent is high. You reached the precision limit.");
- return 51.3;
- }
- int nSteps =0;
- Double_t xtmp=0, xmin=0, xmax=51.3, rtmp=0, delta=2*prec;
- while( delta > prec ) {
- xtmp = 0.5*(xmin+xmax);
- rtmp = ComputeResolution(xtmp);
- delta = TMath::Abs( res-rtmp );
- if(rtmp>res) xmax = xtmp;
- if(rtmp<res) xmin = xtmp;
- nSteps++;
- }
- return xtmp;
-}
-