1 /*************************************************************************
2 * Copyright(c) 1998-2008, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
16 #define ALIFLOWANALYSISWITHSCALARPRODUCT_CXX
28 #include "AliFlowCommonConstants.h"
29 #include "AliFlowEventSimple.h"
30 #include "AliFlowVector.h"
31 #include "AliFlowTrackSimple.h"
32 #include "AliFlowCommonHist.h"
33 #include "AliFlowCommonHistResults.h"
34 #include "AliFlowAnalysisWithScalarProduct.h"
36 //////////////////////////////////////////////////////////////////////////////
37 // AliFlowAnalysisWithScalarProduct:
38 // Description: Maker to analyze Flow from the Scalar Product method.
39 // authors: Naomi van del Kolk (kolk@nikhef.nl)
40 // Ante Bilandzic (anteb@nikhef.nl)
41 // mods: Carlos Perez (cperez@nikhef.nl)
42 //////////////////////////////////////////////////////////////////////////////
44 ClassImp(AliFlowAnalysisWithScalarProduct)
46 //-----------------------------------------------------------------------
47 AliFlowAnalysisWithScalarProduct::AliFlowAnalysisWithScalarProduct():
51 fApplyCorrectionForNUA(0),
53 fNormalizationType(1),
58 fHistProQaQbNorm(NULL),
59 fHistSumOfWeights(NULL),
65 fHistQNormQaQbNorm(NULL),
71 fHistNumberOfSubtractedDaughters(NULL),
77 for(int i=0; i!=2; ++i) {
78 fPhiWeightsSub[i] = NULL;
79 for(int j=0; j!=2; ++j) {
80 fHistProUQ[i][j] = NULL;
81 fHistProUQQaQb[i][j] = NULL;
82 fHistProNUAu[i][j][0] = NULL;
83 fHistProNUAu[i][j][1] = NULL;
84 for(int k=0; k!=3; ++k)
85 fHistSumOfWeightsu[i][j][k] = NULL;
89 //-----------------------------------------------------------------------
90 AliFlowAnalysisWithScalarProduct::~AliFlowAnalysisWithScalarProduct()
96 //-----------------------------------------------------------------------
97 void AliFlowAnalysisWithScalarProduct::Init() {
98 //Define all histograms
99 //printf("---Analysis with the Scalar Product Method--- Init\n");
100 //printf("--- fNormalizationType %d ---\n", fNormalizationType);
101 //save old value and prevent histograms from being added to directory
102 //to avoid name clashes in case multiple analaysis objects are used
104 Bool_t oldHistAddStatus = TH1::AddDirectoryStatus();
105 TH1::AddDirectory(kFALSE);
107 fHistList = new TList();
108 fHistList->SetName("cobjSP");
109 fHistList->SetOwner();
111 TList *uQRelated = new TList();
112 uQRelated->SetName("uQ");
113 uQRelated->SetOwner();
115 TList *nuaRelated = new TList();
116 nuaRelated->SetName("NUA");
117 nuaRelated->SetOwner();
119 TList *errorRelated = new TList();
120 errorRelated->SetName("error");
121 errorRelated->SetOwner();
123 TList *tQARelated = new TList();
124 tQARelated->SetName("QA");
125 tQARelated->SetOwner();
127 fCommonHists = new AliFlowCommonHist("AliFlowCommonHist_SP","AliFlowCommonHist",fMinimalBook);
128 (fCommonHists->GetHarmonic())->Fill(0.5,fHarmonic); // store harmonic
129 fHistList->Add(fCommonHists);
131 // fCommonHistsuQ = new AliFlowCommonHist("AliFlowCommonHist_uQ");
132 // (fCommonHistsuQ->GetHarmonic())->Fill(0.5,fHarmonic); // store harmonic
133 // fHistList->Add(fCommonHistsuQ);
135 fCommonHistsRes = new AliFlowCommonHistResults("AliFlowCommonHistResults_SP","",fHarmonic);
136 fHistList->Add(fCommonHistsRes);
138 fHistProConfig = new TProfile("FlowPro_Flags_SP","Flow_Flags_SP",4,0.5,4.5,"s");
139 fHistProConfig->GetXaxis()->SetBinLabel(1,"fApplyCorrectionForNUA");
140 fHistProConfig->GetXaxis()->SetBinLabel(2,"fNormalizationType");
141 fHistProConfig->GetXaxis()->SetBinLabel(3,"fUsePhiWeights");
142 fHistProConfig->GetXaxis()->SetBinLabel(4,"fHarmonic");
143 fHistProConfig->Fill(1,fApplyCorrectionForNUA);
144 fHistProConfig->Fill(2,fNormalizationType);
145 fHistProConfig->Fill(3,fUsePhiWeights);
146 fHistProConfig->Fill(4,fHarmonic);
147 fHistList->Add(fHistProConfig);
149 fHistProQaQbNorm = new TProfile("FlowPro_QaQbNorm_SP","FlowPro_QaQbNorm_SP", 1, 0.5, 1.5,"s");
150 fHistProQaQbNorm->SetYTitle("<QaQb/Na/Nb>");
151 errorRelated->Add(fHistProQaQbNorm);
153 fHistProNUAq = new TProfile("FlowPro_NUAq_SP","FlowPro_NUAq_SP", 6, 0.5, 6.5,"s");
154 fHistProNUAq->GetXaxis()->SetBinLabel( 1,"<<sin(#Phi_{a})>>");
155 fHistProNUAq->GetXaxis()->SetBinLabel( 2,"<<cos(#Phi_{a})>>");
156 fHistProNUAq->GetXaxis()->SetBinLabel( 3,"<<sin(#Phi_{b})>>");
157 fHistProNUAq->GetXaxis()->SetBinLabel( 4,"<<cos(#Phi_{b})>>");
158 fHistProNUAq->GetXaxis()->SetBinLabel( 5,"<<sin(#Phi_{t})>>");
159 fHistProNUAq->GetXaxis()->SetBinLabel( 6,"<<cos(#Phi_{t})>>");
160 nuaRelated->Add(fHistProNUAq);
162 fHistSumOfWeights = new TH1D("Flow_SumOfWeights_SP","Flow_SumOfWeights_SP",2,0.5, 2.5);
163 fHistSumOfWeights->GetXaxis()->SetBinLabel( 1,"#Sigma Na*Nb");
164 fHistSumOfWeights->GetXaxis()->SetBinLabel( 2,"#Sigma (Na*Nb)^2");
165 errorRelated->Add(fHistSumOfWeights);
167 TString sPOI[2] = {"RP","POI"}; // backward compatibility
168 TString sEta[2] = {"Pt","eta"}; // backward compatibility
169 TString sTitle[2] = {"p_{T} [GeV]","#eta"};
170 TString sWeights[3] = {"uQ","uQuQ","uQQaQb"};
172 Double_t dMin[2], dMax[2];
173 iNbins[0] = AliFlowCommonConstants::GetMaster()->GetNbinsPt();
174 iNbins[1] = AliFlowCommonConstants::GetMaster()->GetNbinsEta();
175 dMin[0] = AliFlowCommonConstants::GetMaster()->GetPtMin();
176 dMin[1] = AliFlowCommonConstants::GetMaster()->GetEtaMin();
177 dMax[0] = AliFlowCommonConstants::GetMaster()->GetPtMax();
178 dMax[1] = AliFlowCommonConstants::GetMaster()->GetEtaMax();
179 for(Int_t iPOI=0; iPOI!=2; ++iPOI)
180 for(Int_t iSpace=0; iSpace!=2; ++iSpace) {
182 fHistProUQ[iPOI][iSpace] = new TProfile( Form( "FlowPro_UQ_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
183 Form( "FlowPro_UQ%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
184 iNbins[iSpace], dMin[iSpace], dMax[iSpace], "s");
185 fHistProUQ[iPOI][iSpace]->SetXTitle(sTitle[iSpace].Data());
186 fHistProUQ[iPOI][iSpace]->SetYTitle("<uQ>");
187 uQRelated->Add(fHistProUQ[iPOI][iSpace]);
190 fHistProNUAu[iPOI][iSpace][0] = new TProfile( Form("FlowPro_NUAu_%s%s_IM_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
191 Form("FlowPro_NUAu_%s%s_IM_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
192 iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
193 fHistProNUAu[iPOI][iSpace][0]->SetXTitle(sTitle[iSpace].Data());
194 nuaRelated->Add(fHistProNUAu[iPOI][iSpace][0]);
195 fHistProNUAu[iPOI][iSpace][1] = new TProfile( Form("FlowPro_NUAu_%s%s_RE_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
196 Form("FlowPro_NUAu_%s%s_RE_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
197 iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
198 fHistProNUAu[iPOI][iSpace][1]->SetXTitle(sTitle[iSpace].Data());
199 nuaRelated->Add(fHistProNUAu[iPOI][iSpace][1]);
202 fHistProUQQaQb[iPOI][iSpace] = new TProfile( Form("FlowPro_UQQaQb_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
203 Form("FlowPro_UQQaQb_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ),
204 iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
205 fHistProUQQaQb[iPOI][iSpace]->SetXTitle(sTitle[iSpace].Data());
206 fHistProUQQaQb[iPOI][iSpace]-> SetYTitle("<Qu QaQb>");
207 errorRelated->Add(fHistProUQQaQb[iPOI][iSpace]);
210 for(Int_t i=0; i!=3; ++i) {
211 fHistSumOfWeightsu[iPOI][iSpace][i] = new TH1D( Form("Flow_SumOfWeights_%s%s_%s_SP",sWeights[i].Data(),sPOI[iPOI].Data(),sEta[iSpace].Data()),
212 Form("Flow_SumOfWeights_%s%s_%s_SP",sWeights[i].Data(),sPOI[iPOI].Data(),sEta[iSpace].Data()),
213 iNbins[iSpace], dMin[iSpace], dMax[iSpace]);
214 fHistSumOfWeightsu[iPOI][iSpace][i]->SetYTitle(sWeights[i].Data());
215 fHistSumOfWeightsu[iPOI][iSpace][i]->SetXTitle(sTitle[iSpace].Data());
216 errorRelated->Add(fHistSumOfWeightsu[iPOI][iSpace][i]);
222 printf( "WARNING: fWeightsList is NULL in the Scalar Product method.\n" );
225 fPhiWeightsSub[0] = dynamic_cast<TH1F*>
226 (fWeightsList->FindObject("phi_weights_sub0"));
227 if(!fPhiWeightsSub[0]) {
228 printf( "WARNING: phi_weights_sub0 not found in the Scalar Product method.\n" );
231 nuaRelated->Add( fPhiWeightsSub[0] );
232 fPhiWeightsSub[1] = dynamic_cast<TH1F*>
233 (fWeightsList->FindObject("phi_weights_sub1"));
234 if(!fPhiWeightsSub[1]) {
235 printf( "WARNING: phi_weights_sub1 not found in the Scalar Product method.\n" );
238 nuaRelated->Add( fPhiWeightsSub[1] );
242 fHistProQNorm = new TProfile("FlowPro_QNorm_SP","FlowPro_QNorm_SP", 1,0.5,1.5,"s");
243 fHistProQNorm->SetYTitle("<|Qa+Qb|>");
244 tQARelated->Add(fHistProQNorm);
246 fHistProQaQb = new TProfile("FlowPro_QaQb_SP","FlowPro_QaQb_SP", 1,0.5,1.5,"s");
247 fHistProQaQb->SetYTitle("<QaQb>");
248 tQARelated->Add(fHistProQaQb);
250 fHistProQaQbM = new TProfile("FlowPro_QaQbvsM_SP","FlowPro_QaQbvsM_SP",1000,0.0,10000);
251 fHistProQaQbM->SetYTitle("<QaQb>");
252 fHistProQaQbM->SetXTitle("M");
253 fHistProQaQbM->Sumw2();
254 tQARelated->Add(fHistProQaQbM);
256 fHistMaMb = new TH2D("Flow_MavsMb_SP","Flow_MavsMb_SP",100,0.,100.,100,0.,100.);
257 fHistMaMb->SetYTitle("Ma");
258 fHistMaMb->SetXTitle("Mb");
259 tQARelated->Add(fHistMaMb);
261 fHistQNormQaQbNorm = new TH2D("Flow_QNormvsQaQbNorm_SP","Flow_QNormvsQaQbNorm_SP",88,-1.1,1.1,22,0.,1.1);
262 fHistQNormQaQbNorm->SetYTitle("|Q/Mq|");
263 fHistQNormQaQbNorm->SetXTitle("QaQb/MaMb");
264 tQARelated->Add(fHistQNormQaQbNorm);
266 fHistQaNormMa = new TH2D("Flow_QaNormvsMa_SP","Flow_QaNormvsMa_SP",100,0.,100.,22,0.,1.1);
267 fHistQaNormMa->SetYTitle("|Qa/Ma|");
268 fHistQaNormMa->SetXTitle("Ma");
269 tQARelated->Add(fHistQaNormMa);
271 fHistQbNormMb = new TH2D("Flow_QbNormvsMb_SP","Flow_QbNormvsMb_SP",100,0.,100.,22,0.,1.1);
272 fHistQbNormMb->SetYTitle("|Qb/Mb|");
273 fHistQbNormMb->SetXTitle("Mb");
274 tQARelated->Add(fHistQbNormMb);
276 fResolution = new TH1D("Flow_resolution_SP","Flow_resolution_SP",100,-1.0,1.0);
277 fResolution->SetYTitle("dN/d(Cos2(#phi_a - #phi_b))");
278 fResolution->SetXTitle("Cos2(#phi_a - #phi_b)");
279 tQARelated->Add(fResolution);
281 fHistQaQb = new TH1D("Flow_QaQb_SP","Flow_QaQb_SP",200,-100.,100.);
282 fHistQaQb->SetYTitle("dN/dQaQb");
283 fHistQaQb->SetXTitle("dQaQb");
284 tQARelated->Add(fHistQaQb);
286 fHistQaQbCos = new TH1D("Flow_QaQbCos_SP","Flow_QaQbCos_SP",63,0.,TMath::Pi());
287 fHistQaQbCos->SetYTitle("dN/d#phi");
288 fHistQaQbCos->SetXTitle("#phi");
289 tQARelated->Add(fHistQaQbCos);
291 fHistNumberOfSubtractedDaughters = new TH1I("NumberOfSubtractedDaughtersInQ",";daughters;counts;Number of daughters subtracted from Q",5,0.,5.);
292 tQARelated->Add(fHistNumberOfSubtractedDaughters);
295 fHistList->Add(uQRelated);
296 fHistList->Add(nuaRelated);
297 fHistList->Add(errorRelated);
298 fHistList->Add(tQARelated);
300 TH1::AddDirectory(oldHistAddStatus);
303 //-----------------------------------------------------------------------
304 void AliFlowAnalysisWithScalarProduct::Make(AliFlowEventSimple* anEvent) {
305 // Scalar Product method
306 if (!anEvent) return; // for coverity
308 // Get Q vectors for the subevents
309 AliFlowVector* vQarray = new AliFlowVector[2];
311 anEvent->Get2Qsub(vQarray,fHarmonic,fWeightsList,kTRUE);
313 anEvent->Get2Qsub(vQarray,fHarmonic);
315 AliFlowVector vQa = vQarray[0];
317 AliFlowVector vQb = vQarray[1];
320 Double_t dMa = vQa.GetMult();
321 if( dMa < 2 ) return;
322 Double_t dMb = vQb.GetMult();
323 if( dMb < 2 ) return;
324 //fill control histograms
325 if (fUsePhiWeights) {
326 fCommonHists->FillControlHistograms(anEvent,fWeightsList,kTRUE);
328 fCommonHists->FillControlHistograms(anEvent);
331 //Normalizing: weight the Q vectors for the subevents
332 Double_t dNa = fNormalizationType ? dMa: vQa.Mod(); // SP corresponds to true
333 Double_t dNb = fNormalizationType ? dMb: vQb.Mod(); // SP corresponds to true
334 Double_t dWa = fNormalizationType ? dMa: 1; // SP corresponds to true
335 Double_t dWb = fNormalizationType ? dMb: 1; // SP corresponds to true
337 //Scalar product of the two subevents vectors
338 Double_t dQaQb = (vQa*vQb);
340 //printf("==============\n");
341 //printf("vQa: { %f, %f }\n",vQa.X(),vQa.Y());
342 //printf("QaQb/|Qa||Qb|: %f\n",dQaQb/vQa.Mod()/vQb.Mod());
343 //printf("QaQb/|Ma||Mb|: %f\n",dQaQb/dMa/dMb);
345 // 01 10 11 <=== fTotalQVector
346 // Q ?= Qa or Qb or QaQb
350 if( (fTotalQvector%2)>0 ) { // 01 or 11
354 if( fTotalQvector>1 ) { // 10 or 11
358 Double_t dWq = fNormalizationType ? dNq: 1; // SP corresponds to true
359 dNq = fNormalizationType ? dNq: vQm.Mod(); // SP corresponds to true
361 //fill some EP control histograms
362 fHistProQaQbNorm->Fill(1.,dQaQb/dNa/dNb,dWa*dWb); //Fill (QaQb/NaNb) with weight (WaWb).
363 //needed for the error calculation:
364 fHistSumOfWeights -> Fill(1.,dWa*dWb);
365 fHistSumOfWeights -> Fill(2.,pow(dWa*dWb,2.));
366 //needed for correcting non-uniform acceptance:
367 fHistProNUAq->Fill(1.,vQa.Y()/dNa,dWa); // to get <<sin(phi_a)>>
368 fHistProNUAq->Fill(2.,vQa.X()/dNa,dWa); // to get <<cos(phi_a)>>
369 fHistProNUAq->Fill(3.,vQb.Y()/dNb,dWb); // to get <<sin(phi_b)>>
370 fHistProNUAq->Fill(4.,vQb.X()/dNb,dWb); // to get <<cos(phi_b)>>
371 fHistProNUAq->Fill(5.,vQm.Y()/dNq,dWq);
372 fHistProNUAq->Fill(6.,vQm.X()/dNq,dWq);
374 //loop over the tracks of the event
375 AliFlowTrackSimple* pTrack = NULL;
376 Int_t iNumberOfTracks = anEvent->NumberOfTracks();
377 for (Int_t i=0;i<iNumberOfTracks;i++) {
378 pTrack = anEvent->GetTrack(i) ;
379 if (!pTrack) continue;
380 Double_t dPhi = pTrack->Phi();
381 Double_t dPt = pTrack->Pt();
382 Double_t dEta = pTrack->Eta();
386 Double_t dUX = TMath::Cos(fHarmonic*dPhi);
387 Double_t dUY = TMath::Sin(fHarmonic*dPhi);
390 // 01 10 11 <=== fTotalQVector
391 // Q ?= Qa or Qb or QaQb
392 vQm.Set(0.0,0.0); //start the loop fresh
394 if( (fTotalQvector%2)>0 ) { // 01 or 11
398 if( fTotalQvector>1 ) { // 10 or 11
403 //remove track if in subevent
404 for(Int_t inSubEvent=0; inSubEvent<2; ++inSubEvent) {
405 if( !pTrack->InSubevent( inSubEvent ) )
408 if( (fTotalQvector%2)!=1 )
411 if( fTotalQvector<2 )
414 //Double_t dPhiCenter = dPhi;
415 //if phi weights are used
416 if(fUsePhiWeights && fPhiWeightsSub[inSubEvent]) {
417 Int_t iNBinsPhiSub = fPhiWeightsSub[inSubEvent]->GetNbinsX();
418 Int_t phiBin = 1+(Int_t)(TMath::Floor(dPhi*iNBinsPhiSub/TMath::TwoPi()));
419 dW = fPhiWeightsSub[inSubEvent]->GetBinContent(phiBin);
420 //dPhiCenter = fPhiWeightsSub[inSubEvent]->GetBinCenter(phiBin);
422 //Double_t dQmX = vQm.X() - dW*(pTrack->Weight())* TMath::Cos(fHarmonic*dPhiCenter);
423 //Double_t dQmY = vQm.Y() - dW*(pTrack->Weight())* TMath::Sin(fHarmonic*dPhiCenter);
424 //vQm.Set(dQmX,dQmY);
426 //subtrack the track from the Q vector, but only if it was used to construct this
427 //Q vector: i.e. check wether it has the same tags and is in the same subevent
428 //this is especially important for the daughters (as for the mother it is already checked)
429 Int_t numberOfsubtractedDaughters=vQm.SubtractTrackWithDaughters(pTrack,dW);
432 fHistNumberOfSubtractedDaughters->Fill(numberOfsubtractedDaughters);
435 dMq = dMq-dW*pTrack->Weight();
437 dNq = fNormalizationType ? dMq : vQm.Mod();
438 dWq = fNormalizationType ? dMq : 1;
440 //Filling QA (for compatibility with previous version)
442 fHistProQaQb->Fill(1,vQa*vQb,1);
443 fHistProQaQbM->Fill(anEvent->GetNumberOfRPs()+0.5,(vQa*vQb)/dMa/dMb,dMa*dMb);
444 fHistQaQbCos->Fill(TMath::ACos((vQa*vQb)/vQa.Mod()/vQb.Mod()));
445 fResolution->Fill( TMath::Cos( vQa.Phi()-vQb.Phi() ) );
446 fHistQaQb->Fill(vQa*vQb);
447 fHistMaMb->Fill(dMb,dMa);
448 fHistProQNorm->Fill(1,vQm.Mod()/dMq,dMq);
449 fHistQNormQaQbNorm->Fill((vQa*vQb)/dMa/dMb,vQm.Mod()/dMq);
450 fHistQaNormMa->Fill(dMa,vQa.Mod()/dMa);
451 fHistQbNormMb->Fill(dMb,vQb.Mod()/dMb);
454 Double_t dUQ = vU*vQm;
456 //fill the profile histograms
457 for(Int_t iPOI=0; iPOI!=2; ++iPOI) {
458 if( (iPOI==0)&&(!pTrack->InRPSelection()) )
460 if( (iPOI==1)&&(!pTrack->InPOISelection(fPOItype)) )
462 fHistProUQ[iPOI][0]->Fill(dPt ,dUQ/dNq,dWq); //Fill (uQ/Nq') with weight (Nq')
463 fHistProUQ[iPOI][1]->Fill(dEta,dUQ/dNq,dWq); //Fill (uQ/Nq') with weight (Nq')
464 //needed for the error calculation:
465 fHistProUQQaQb[iPOI][0]-> Fill(dPt ,dUQ/dNq*dQaQb/dNa/dNb,dWq*dWa*dWb); //Fill [Qu/Nq']*[QaQb/NaNb] with weight (Nq')NaNb
466 fHistProUQQaQb[iPOI][1]-> Fill(dEta,dUQ/dNq*dQaQb/dNa/dNb,dWq*dWa*dWb); //Fill [Qu/Nq']*[QaQb/NaNb] with weight (Nq')NaNb
467 fHistSumOfWeightsu[iPOI][0][0]->Fill(dPt ,dWq); // sum of Nq'
468 fHistSumOfWeightsu[iPOI][0][1]->Fill(dPt ,pow(dWq,2.));// sum of Nq'^2
469 fHistSumOfWeightsu[iPOI][0][2]->Fill(dPt ,dWq*dWa*dWb);// sum of Nq'*Na*Nb
470 fHistSumOfWeightsu[iPOI][1][0]->Fill(dEta,dWq); // sum of Nq'
471 fHistSumOfWeightsu[iPOI][1][1]->Fill(dEta,pow(dWq,2.));// sum of Nq'^2
472 fHistSumOfWeightsu[iPOI][1][2]->Fill(dEta,dNq*dWa*dWb);// sum of Nq'*Na*Nb
474 fHistProNUAu[iPOI][0][0]->Fill(dPt,dUY,1.); //sin u
475 fHistProNUAu[iPOI][0][1]->Fill(dPt,dUX,1.); //cos u
476 fHistProNUAu[iPOI][1][0]->Fill(dEta,dUY,1.); //sin u
477 fHistProNUAu[iPOI][1][1]->Fill(dEta,dUX,1.); //cos u
483 //--------------------------------------------------------------------
484 void AliFlowAnalysisWithScalarProduct::GetOutputHistograms(TList *outputListHistos){
485 //get pointers to all output histograms (called before Finish())
486 fHistList = outputListHistos;
488 fCommonHists = (AliFlowCommonHist*) fHistList->FindObject("AliFlowCommonHist_SP");
489 // fCommonHistsuQ = (AliFlowCommonHist*) fHistList->FindObject("AliFlowCommonHist_uQ");
490 fCommonHistsRes = (AliFlowCommonHistResults*) fHistList->FindObject("AliFlowCommonHistResults_SP");
491 fHistProConfig = (TProfile*) fHistList->FindObject("FlowPro_Flags_SP");
492 if(!fHistProConfig) printf("Error loading fHistProConfig\n");
493 TList *uQ = (TList*) fHistList->FindObject("uQ");
494 TList *nua = (TList*) fHistList->FindObject("NUA");
495 TList *error = (TList*) fHistList->FindObject("error");
497 fHistProQaQbNorm = (TProfile*) error->FindObject("FlowPro_QaQbNorm_SP");
498 if(!fHistProQaQbNorm) printf("Error loading fHistProQaQbNorm\n");
499 fHistProNUAq = (TProfile*) nua->FindObject("FlowPro_NUAq_SP");
500 if(!fHistProNUAq) printf("Error loading fHistProNUAq\n");
501 fHistSumOfWeights = (TH1D*) error->FindObject("Flow_SumOfWeights_SP");
502 if(!fHistSumOfWeights) printf("Error loading fHistSumOfWeights\n");
504 TString sPOI[2] = {"RP","POI"};
505 TString sEta[2] = {"Pt","eta"};
506 TString sWeights[3] = {"uQ","uQuQ","uQQaQb"};
507 for(Int_t iPOI=0; iPOI!=2; ++iPOI) for(Int_t iSpace=0; iSpace!=2; ++iSpace) {
508 fHistProUQ[iPOI][iSpace] = (TProfile*) uQ->FindObject( Form( "FlowPro_UQ_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
509 if(!fHistProUQ[iPOI][iSpace]) printf("Error loading fHistProUQ[%d][%d]\n",iPOI,iSpace);
510 fHistProNUAu[iPOI][iSpace][0] = (TProfile*) nua->FindObject( Form("FlowPro_NUAu_%s%s_IM_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
511 if(!fHistProNUAu[iPOI][iSpace][0]) printf("Error loading fHistProNUAu[%d][%d][0]\n",iPOI,iSpace);
512 fHistProNUAu[iPOI][iSpace][1] = (TProfile*) nua->FindObject( Form("FlowPro_NUAu_%s%s_RE_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
513 if(!fHistProNUAu[iPOI][iSpace][1]) printf("Error loading fHistProNUAu[%d][%d][1]\n",iPOI,iSpace);
514 fHistProUQQaQb[iPOI][iSpace] = (TProfile*) error->FindObject( Form("FlowPro_UQQaQb_%s%s_SP", sEta[iSpace].Data(), sPOI[iPOI].Data() ) );
515 for(Int_t i=0; i!=3; ++i){
516 fHistSumOfWeightsu[iPOI][iSpace][i] = (TH1D*) error->FindObject( Form("Flow_SumOfWeights_%s%s_%s_SP",sWeights[i].Data(),sPOI[iPOI].Data(),sEta[iSpace].Data()) );
517 if(!fHistSumOfWeightsu[iPOI][iSpace][i]) printf("Error loading fHistSumOfWeightsu[%d][%d][%d]\n",iPOI,iSpace,i);
521 fApplyCorrectionForNUA = (Int_t) fHistProConfig->GetBinContent(1);
522 fNormalizationType = (Int_t) fHistProConfig->GetBinContent(2);
523 fUsePhiWeights = (Int_t) fHistProConfig->GetBinContent(3);
524 fHarmonic = (Int_t) fHistProConfig->GetBinContent(4);
528 //--------------------------------------------------------------------
529 void AliFlowAnalysisWithScalarProduct::Finish() {
530 //calculate flow and fill the AliFlowCommonHistResults
531 printf("AliFlowAnalysisWithScalarProduct::Finish()\n");
534 fApplyCorrectionForNUA = (Int_t)(fHistProConfig->GetBinContent(1));
535 fNormalizationType = (Int_t)(fHistProConfig->GetBinContent(2));
536 fHarmonic = (Int_t)(fHistProConfig->GetBinContent(4));
538 printf("*************************************\n");
539 printf("*************************************\n");
540 printf(" Integrated flow from \n");
541 printf(" Scalar Product \n\n");
542 if(!fNormalizationType)
543 printf(" (BehaveAsEP) \n\n");
545 //Calculate reference flow
546 //----------------------------------
547 //weighted average over (QaQb/NaNb) with weight (NaNb)
548 Double_t dEntriesQaQb = fHistProQaQbNorm->GetEntries();
549 if( dEntriesQaQb < 1 )
551 Double_t dQaQb = fHistProQaQbNorm->GetBinContent(1);
554 Double_t dSpreadQaQb = fHistProQaQbNorm->GetBinError(1);
557 Double_t dImQa = fHistProNUAq->GetBinContent(1);
558 Double_t dReQa = fHistProNUAq->GetBinContent(2);
559 Double_t dImQb = fHistProNUAq->GetBinContent(3);
560 Double_t dReQb = fHistProNUAq->GetBinContent(4);
561 if(fApplyCorrectionForNUA)
562 dQaQb = dQaQb - dImQa*dImQb - dReQa*dReQb;
563 printf("QaQb = %f +- %f\n", dQaQb, (dSpreadQaQb/TMath::Sqrt(dEntriesQaQb)) );
564 Double_t dV = TMath::Sqrt(dQaQb);
566 printf("ResSub = %f\n", dV );
567 printf("fTotalQvector %d \n",fTotalQvector);
568 if(!fNormalizationType) {
569 if(fTotalQvector>2) {
570 dV = ComputeResolution( TMath::Sqrt2()*FindXi(dV,1e-6) );
571 printf("An estimate of the event plane resolution is: %f\n", dV );
574 printf("ResTot = %f\n", dV );
575 //statistical error of dQaQb:
576 // statistical error = term1 * spread * term2:
577 // term1 = sqrt{sum_{i=1}^{N} w^2}/(sum_{i=1}^{N} w)
578 // term2 = 1/sqrt(1-term1^2)
579 Double_t dSumOfLinearWeights = fHistSumOfWeights->GetBinContent(1);
580 Double_t dSumOfQuadraticWeights = fHistSumOfWeights->GetBinContent(2);
581 Double_t dTerm1 = 0.;
582 Double_t dTerm2 = 0.;
583 if(dSumOfLinearWeights)
584 dTerm1 = pow(dSumOfQuadraticWeights,0.5)/dSumOfLinearWeights;
585 if(1.-pow(dTerm1,2.) > 0.)
586 dTerm2 = 1./pow(1-pow(dTerm1,2.),0.5);
587 Double_t dStatErrorQaQb = dTerm1 * dSpreadQaQb * dTerm2;
590 dVerr = (1./(2.*pow(dQaQb,0.5)))*dStatErrorQaQb;
591 fCommonHistsRes->FillIntegratedFlow(dV,dVerr);
592 printf("v%d(subevents) = %f +- %f\n",fHarmonic,dV,dVerr);
595 iNbins[0] = AliFlowCommonConstants::GetMaster()->GetNbinsPt();
596 iNbins[1] = AliFlowCommonConstants::GetMaster()->GetNbinsEta();
598 //Calculate differential flow and integrated flow (RP, POI)
599 //---------------------------------------------------------
600 //v as a function of eta for RP selection
601 for(Int_t iRFPorPOI=0; iRFPorPOI != 2; ++iRFPorPOI)
602 for(Int_t iPTorETA=0; iPTorETA != 2; ++iPTorETA)
603 for(Int_t b=1; b != iNbins[iPTorETA]+1; ++b) {
604 Double_t duQpro = fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b);
605 if(fApplyCorrectionForNUA)
607 - fHistProNUAu[iRFPorPOI][iPTorETA][1]->GetBinContent(b)*fHistProNUAq->GetBinContent(6)
608 - fHistProNUAu[iRFPorPOI][iPTorETA][0]->GetBinContent(b)*fHistProNUAq->GetBinContent(5);
609 Double_t dv2pro = -999.;
610 if( TMath::Abs(dV!=0.) ) { dv2pro = duQpro/dV; }
611 //calculate the statistical error
612 Double_t dv2ProErr = CalculateStatisticalError(iRFPorPOI, iPTorETA, b, dStatErrorQaQb);
613 if( (iRFPorPOI==0)&&(iPTorETA==0) )
614 fCommonHistsRes->FillDifferentialFlowPtRP( b, dv2pro, dv2ProErr);
615 if( (iRFPorPOI==0)&&(iPTorETA==1) )
616 fCommonHistsRes->FillDifferentialFlowEtaRP( b, dv2pro, dv2ProErr);
617 if( (iRFPorPOI==1)&&(iPTorETA==0) )
618 fCommonHistsRes->FillDifferentialFlowPtPOI( b, dv2pro, dv2ProErr);
619 if( (iRFPorPOI==1)&&(iPTorETA==1) )
620 fCommonHistsRes->FillDifferentialFlowEtaPOI(b, dv2pro, dv2ProErr);
621 //printf("POI %d | PT %d >>> %f +- %f\n",iRFPorPOI,iPTorETA,dv2pro,dv2ProErr);
625 printf("*************************************\n");
626 printf("*************************************\n");
629 //-----------------------------------------------------------------------
630 void AliFlowAnalysisWithScalarProduct::WriteHistograms(TDirectoryFile *outputFileName) const {
631 //store the final results in output .root file
632 outputFileName->Add(fHistList);
633 outputFileName->Write(outputFileName->GetName(), TObject::kSingleKey);
636 //--------------------------------------------------------------------
637 Double_t AliFlowAnalysisWithScalarProduct::CalculateStatisticalError(Int_t iRFPorPOI, Int_t iPTorETA, Int_t b, Double_t aStatErrorQaQb) const {
638 //calculate the statistical error for differential flow for bin b
639 Double_t duQproSpread = fHistProUQ[iRFPorPOI][iPTorETA]->GetBinError(b);
640 Double_t sumOfMq = fHistSumOfWeightsu[iRFPorPOI][iPTorETA][0]->GetBinContent(b);
641 Double_t sumOfMqSquared = fHistSumOfWeightsu[iRFPorPOI][iPTorETA][1]->GetBinContent(b);
642 Double_t dQaQb = fHistProQaQbNorm->GetBinContent(1);
644 //non-isotropic terms:
645 if(fApplyCorrectionForNUA) {
646 Double_t dImQa = fHistProNUAq->GetBinContent(1); // <<sin(phi_a)>>
647 Double_t dReQa = fHistProNUAq->GetBinContent(2); // <<cos(phi_a)>>
648 Double_t dImQb = fHistProNUAq->GetBinContent(3); // <<sin(phi_b)>>
649 Double_t dReQb = fHistProNUAq->GetBinContent(4); // <<cos(phi_b)>>
650 dQaQb = dQaQb - dImQa*dImQb - dReQa*dReQb;
653 Double_t dTerm1 = 0.;
654 Double_t dTerm2 = 0.;
656 dTerm1 = (pow(sumOfMqSquared,0.5)/sumOfMq);
658 if(1.-pow(dTerm1,2.)>0.) {
659 dTerm2 = 1./pow(1.-pow(dTerm1,2.),0.5);
661 Double_t duQproErr = dTerm1*duQproSpread*dTerm2;
663 Double_t dTerm1Cov = fHistSumOfWeightsu[iRFPorPOI][iPTorETA][2]->GetBinContent(b);
664 Double_t dTerm2Cov = fHistSumOfWeights->GetBinContent(1);
665 Double_t dTerm3Cov = sumOfMq;
666 Double_t dWeightedCovariance = 0.;
667 if(dTerm2Cov*dTerm3Cov>0.) {
668 Double_t dDenominator = 1.-dTerm1Cov/(dTerm2Cov*dTerm3Cov);
669 Double_t dPrefactor = dTerm1Cov/(dTerm2Cov*dTerm3Cov);
670 if(dDenominator!=0) {
671 Double_t dCovariance = ( fHistProUQQaQb[iRFPorPOI][iPTorETA]->GetBinContent(b)-dQaQb*fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b))/dDenominator;
672 dWeightedCovariance = dCovariance*dPrefactor;
675 Double_t dv2ProErr = 0.; // final statitical error:
677 Double_t dv2ProErrorSquared = (1./4.)*pow(dQaQb,-3.)*
678 (pow(fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b),2.)*pow(aStatErrorQaQb,2.)
679 + 4.*pow(dQaQb,2.)*pow(duQproErr,2.)
680 - 4.*dQaQb*fHistProUQ[iRFPorPOI][iPTorETA]->GetBinContent(b)*dWeightedCovariance);
681 if(dv2ProErrorSquared>0.) dv2ProErr = pow(dv2ProErrorSquared,0.5);
686 Double_t AliFlowAnalysisWithScalarProduct::ComputeResolution( Double_t x ) const {
687 // Computes resolution for Event Plane method
689 printf("Warning: Estimation of total resolution might be WRONG. Please check!");
693 Double_t b = TMath::Exp(-a)*TMath::BesselI0(a)+TMath::Exp(-a)*TMath::BesselI1(a);
694 return TMath::Sqrt(TMath::PiOver2())/2*x*b;
697 Double_t AliFlowAnalysisWithScalarProduct::FindXi( Double_t res, Double_t prec ) const {
698 // Computes x(res) for Event Plane method
700 printf("Warning: Resolution for subEvent is high. You reached the precision limit.");
704 Double_t xtmp=0, xmin=0, xmax=51.3, rtmp=0, delta=2*prec;
705 while( delta > prec ) {
706 xtmp = 0.5*(xmin+xmax);
707 rtmp = ComputeResolution(xtmp);
708 delta = TMath::Abs( res-rtmp );
709 if(rtmp>res) xmax = xtmp;
710 if(rtmp<res) xmin = xtmp;