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[u/mrichter/AliRoot.git] / PWGHF / vertexingHF / AliVertexingHFUtils.cxx
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a6c5a2e9 1/**************************************************************************
2 * Copyright(c) 2007-2009, ALICE Experiment at CERN, All rights reserved. *
3 * *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
6 * *
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 **************************************************************************/
15
16#include <TMath.h>
686e4710 17#include <TRandom.h>
b176db3b 18#include <TProfile.h>
19#include <TClonesArray.h>
20#include <TH1F.h>
21#include <TH2F.h>
22#include <TF1.h>
a6c5a2e9 23#include "AliAODEvent.h"
b176db3b 24#include "AliAODMCHeader.h"
25504150 25#include "AliAODMCParticle.h"
b176db3b 26#include "AliAODRecoDecayHF.h"
a6c5a2e9 27#include "AliVertexingHFUtils.h"
28
d947ea9c 29/* $Id$ */
a6c5a2e9 30
31///////////////////////////////////////////////////////////////////
32// //
33// Class with functions useful for different D2H analyses //
34// - event plane resolution //
35// - <pt> calculation with side band subtraction //
25504150 36// - tracklet multiplicity calculation //
a6c5a2e9 37// Origin: F.Prino, Torino, prino@to.infn.it //
38// //
39///////////////////////////////////////////////////////////////////
40
41ClassImp(AliVertexingHFUtils)
42
43//______________________________________________________________________
44AliVertexingHFUtils::AliVertexingHFUtils():TObject(),
45 fK(1),
46 fSubRes(1.),
47 fMinEtaForTracklets(-1.),
48 fMaxEtaForTracklets(1.)
49{
50 // Default contructor
51}
52
53
54//______________________________________________________________________
55AliVertexingHFUtils::AliVertexingHFUtils(Int_t k):
56 TObject(),
57 fK(k),
58 fSubRes(1.),
59 fMinEtaForTracklets(-1.),
60 fMaxEtaForTracklets(1.)
61{
62 // Standard constructor
63}
64
65
66//______________________________________________________________________
67Double_t AliVertexingHFUtils::Pol(Double_t x, Int_t k){
68 // compute chi from polynomial approximation
69 Double_t c[5];
70 if(k==1){
71 c[0]=0.626657; c[1]=0.; c[2]=-0.09694; c[3]=0.02754; c[4]=-0.002283;
72 }
73 else if(k==2){
74 c[0]=0.; c[1]=0.25; c[2]=-0.011414; c[3]=-0.034726; c[4]=0.006815;
75 }
76 else return -1;
77 return c[0]*x+c[1]*x*x+c[2]*x*x*x+c[3]*x*x*x*x+c[4]*x*x*x*x*x;
78}
79
80//______________________________________________________________________
81Double_t AliVertexingHFUtils:: ResolK1(Double_t x){
82 return TMath::Sqrt(TMath::Pi()/8)*x*TMath::Exp(-x*x/4)*(TMath::BesselI0(x*x/4)+TMath::BesselI1(x*x/4));
83}
84
85
86//______________________________________________________________________
87Double_t AliVertexingHFUtils::FindChi(Double_t res, Int_t k){
88 // compute chi variable (=v2*sqrt(N)) from external values
89
90 Double_t x1=0;
91 Double_t x2=15;
92 Double_t y1,y2;
93 if(k==1){
94 y1=ResolK1(x1)-res;
95 y2=ResolK1(x2)-res;
96 }
97 else if(k==2){
98 y1=Pol(x1,2)-res;
99 y2=Pol(x2,2)-res;
100 }
101 else return -1;
102
103 if(y1*y2>0) return -1;
104 if(y1==0) return y1;
105 if(y2==0) return y2;
106 Double_t xmed,ymed;
107 Int_t jiter=0;
108 while((x2-x1)>0.0001){
109 xmed=0.5*(x1+x2);
110 if(k==1){
111 y1=ResolK1(x1)-res;
112 y2=ResolK1(x2)-res;
113 ymed=ResolK1(xmed)-res;
114 }
115 else if(k==2){
116 y1=Pol(x1,2)-res;
117 y2=Pol(x2,2)-res;
118 ymed=Pol(xmed,2)-res;
119 }
120 else return -1;
121 if((y1*ymed)<0) x2=xmed;
122 if((y2*ymed)<0)x1=xmed;
123 if(ymed==0) return xmed;
124 jiter++;
125 }
126 return 0.5*(x1+x2);
127}
128
129//______________________________________________________________________
130Double_t AliVertexingHFUtils::GetFullEvResol(Double_t resSub, Int_t k){
131 // computes event plane resolution starting from sub event resolution
132 Double_t chisub=FindChi(resSub,k);
133 Double_t chifull=chisub*TMath::Sqrt(2);
134 if(k==1) return ResolK1(chifull);
135 else if(k==2) return Pol(chifull,2);
136 else{
137 printf("k should be <=2\n");
138 return 1.;
139 }
140}
141
142//______________________________________________________________________
143Double_t AliVertexingHFUtils::GetFullEvResol(const TH1F* hSubEvCorr, Int_t k){
144 // computes event plane resolution starting from sub event correlation histogram
145 if(!hSubEvCorr) return 1.;
146 Double_t resSub=GetSubEvResol(hSubEvCorr);
147 return GetFullEvResol(resSub,k);
148}
149//______________________________________________________________________
150Double_t AliVertexingHFUtils::GetFullEvResolLowLim(const TH1F* hSubEvCorr, Int_t k){
151 // computes low limit event plane resolution starting from sub event correlation histogram
152 if(!hSubEvCorr) return 1.;
153 Double_t resSub=GetSubEvResolLowLim(hSubEvCorr);
154 printf("%f\n",resSub);
155 return GetFullEvResol(resSub,k);
156}
157//______________________________________________________________________
158Double_t AliVertexingHFUtils::GetFullEvResolHighLim(const TH1F* hSubEvCorr, Int_t k){
159 // computes high limit event plane resolution starting from sub event correlation histogram
160 if(!hSubEvCorr) return 1.;
161 Double_t resSub=GetSubEvResolHighLim(hSubEvCorr);
162 printf("%f\n",resSub);
163 return GetFullEvResol(resSub,k);
164}
165//______________________________________________________________________
166Int_t AliVertexingHFUtils::GetNumberOfTrackletsInEtaRange(AliAODEvent* ev, Double_t mineta, Double_t maxeta){
167 // counts tracklets in given eta range
168 AliAODTracklets* tracklets=ev->GetTracklets();
169 Int_t nTr=tracklets->GetNumberOfTracklets();
170 Int_t count=0;
171 for(Int_t iTr=0; iTr<nTr; iTr++){
172 Double_t theta=tracklets->GetTheta(iTr);
173 Double_t eta=-TMath::Log(TMath::Tan(theta/2.));
174 if(eta>mineta && eta<maxeta) count++;
175 }
176 return count;
177}
86d84fa4 178//______________________________________________________________________
25504150 179Int_t AliVertexingHFUtils::GetGeneratedMultiplicityInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){
180 // counts generated particles in fgiven eta range
181
182 Int_t nChargedMC=0;
183 for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){
184 AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i);
185 Int_t charge = part->Charge();
186 Double_t eta = part->Eta();
187 if(charge!=0 && eta>mineta && eta<maxeta) nChargedMC++;
188 }
189 return nChargedMC;
190}
191//______________________________________________________________________
192Int_t AliVertexingHFUtils::GetGeneratedPrimariesInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){
193 // counts generated primary particles in given eta range
194
195 Int_t nChargedMC=0;
196 for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){
197 AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i);
198 Int_t charge = part->Charge();
199 Double_t eta = part->Eta();
200 if(charge!=0 && eta>mineta && eta<maxeta){
201 if(part->IsPrimary())nChargedMC++;
202 }
203 }
204 return nChargedMC;
205}
206//______________________________________________________________________
207Int_t AliVertexingHFUtils::GetGeneratedPhysicalPrimariesInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){
208 // counts generated primary particles in given eta range
209
210 Int_t nChargedMC=0;
211 for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){
212 AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i);
213 Int_t charge = part->Charge();
214 Double_t eta = part->Eta();
215 if(charge!=0 && eta>mineta && eta<maxeta){
216 if(part->IsPhysicalPrimary())nChargedMC++;
217 }
218 }
219 return nChargedMC;
220}
221//______________________________________________________________________
86d84fa4 222void AliVertexingHFUtils::AveragePt(Float_t& averagePt, Float_t& errorPt,Float_t ptmin,Float_t ptmax, TH2F* hMassD, Float_t massFromFit, Float_t sigmaFromFit, TF1* funcB2, Float_t sigmaRangeForSig,Float_t sigmaRangeForBkg, Int_t rebin){
223
224 // Compute <pt> from 2D histogram M vs pt
225
226 //Make 2D histos in the desired pt range
227 Int_t start=hMassD->FindBin(ptmin);
228 Int_t end=hMassD->FindBin(ptmax)-1;
229 const Int_t nx=end-start;
230 TH2F *hMassDpt=new TH2F("hptmass","hptmass",nx,ptmin,ptmax,hMassD->GetNbinsY(),hMassD->GetYaxis()->GetBinLowEdge(1),hMassD->GetYaxis()->GetBinLowEdge(hMassD->GetNbinsY())+hMassD->GetYaxis()->GetBinWidth(hMassD->GetNbinsY()));
231 for(Int_t ix=start;ix<end;ix++){
232 for(Int_t iy=1;iy<=hMassD->GetNbinsY();iy++){
233 hMassDpt->SetBinContent(ix-start+1,iy,hMassD->GetBinContent(ix,iy));
234 hMassDpt->SetBinError(ix-start+1,iy,hMassD->GetBinError(ix,iy));
235 }
236 }
237
238 Double_t minMassSig=massFromFit-sigmaRangeForSig*sigmaFromFit;
239 Double_t maxMassSig=massFromFit+sigmaRangeForSig*sigmaFromFit;
240 Int_t minBinSig=hMassD->GetYaxis()->FindBin(minMassSig);
241 Int_t maxBinSig=hMassD->GetYaxis()->FindBin(maxMassSig);
242 Double_t minMassSigBin=hMassD->GetYaxis()->GetBinLowEdge(minBinSig);
243 Double_t maxMassSigBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinSig)+hMassD->GetYaxis()->GetBinWidth(maxBinSig);
244 // printf("Signal Fit Limits = %f %f\n",minMassSigBin,maxMassSigBin);
245
246 Double_t maxMassBkgLow=massFromFit-sigmaRangeForBkg*sigmaFromFit;
247 Int_t minBinBkgLow=2;
248 Int_t maxBinBkgLow=hMassD->GetYaxis()->FindBin(maxMassBkgLow);
249 Double_t minMassBkgLowBin=hMassD->GetYaxis()->GetBinLowEdge(minBinBkgLow);
250 Double_t maxMassBkgLowBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinBkgLow)+hMassD->GetYaxis()->GetBinWidth(maxBinBkgLow);
251 Double_t minMassBkgHi=massFromFit+sigmaRangeForBkg*sigmaFromFit;
252 Int_t minBinBkgHi=hMassD->GetYaxis()->FindBin(minMassBkgHi);
253 Int_t maxBinBkgHi=hMassD->GetNbinsY()-1;
254 Double_t minMassBkgHiBin=hMassD->GetYaxis()->GetBinLowEdge(minBinBkgHi);
255 Double_t maxMassBkgHiBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinBkgHi)+hMassD->GetYaxis()->GetBinWidth(maxBinBkgHi);
256 // printf("BKG Fit Limits = %f %f && %f %f\n",minMassBkgLowBin,maxMassBkgLowBin,minMassBkgHiBin,maxMassBkgHiBin);
257
258 Double_t bkgSig=funcB2->Integral(minMassSigBin,maxMassSigBin);
259 Double_t bkgLow=funcB2->Integral(minMassBkgLowBin,maxMassBkgLowBin);
260 Double_t bkgHi=funcB2->Integral(minMassBkgHiBin,maxMassBkgHiBin);
261 // printf("Background integrals = %f %f %f\n",bkgLow,bkgSig,bkgHi);
262
263 TH1F* hMptBkgLo=(TH1F*)hMassDpt->ProjectionX("hPtBkgLoBin",minBinBkgLow,maxBinBkgLow);
264 TH1F* hMptBkgHi=(TH1F*)hMassDpt->ProjectionX("hPtBkgHiBin",minBinBkgHi,maxBinBkgHi);
265 TH1F* hMptSigReg=(TH1F*)hMassDpt->ProjectionX("hCPtBkgSigBin",minBinSig,maxBinSig);
266
267 hMptBkgLo->Rebin(rebin);
268 hMptBkgHi->Rebin(rebin);
269 hMptSigReg->Rebin(rebin);
270
271 hMptBkgLo->Sumw2();
272 hMptBkgHi->Sumw2();
273 TH1F* hMptBkgLoScal=(TH1F*)hMptBkgLo->Clone("hPtBkgLoScalBin");
274 hMptBkgLoScal->Scale(bkgSig/bkgLow);
275 TH1F* hMptBkgHiScal=(TH1F*)hMptBkgHi->Clone("hPtBkgHiScalBin");
276 hMptBkgHiScal->Scale(bkgSig/bkgHi);
277
278 TH1F* hMptBkgAver=0x0;
279 hMptBkgAver=(TH1F*)hMptBkgLoScal->Clone("hPtBkgAverBin");
280 hMptBkgAver->Add(hMptBkgHiScal);
281 hMptBkgAver->Scale(0.5);
282 TH1F* hMptSig=(TH1F*)hMptSigReg->Clone("hCPtSigBin");
283 hMptSig->Add(hMptBkgAver,-1.);
284
285 averagePt = hMptSig->GetMean();
286 errorPt = hMptSig->GetMeanError();
287
288 delete hMptBkgLo;
289 delete hMptBkgHi;
290 delete hMptSigReg;
291 delete hMptBkgLoScal;
292 delete hMptBkgHiScal;
293 delete hMptBkgAver;
294 delete hMassDpt;
295 delete hMptSig;
296
15917f37 297}
298//____________________________________________________________________________
299Double_t AliVertexingHFUtils::GetTrueImpactParameterDzero(AliAODMCHeader *mcHeader, TClonesArray* arrayMC, AliAODMCParticle *partD) {
300 // true impact parameter calculation for Dzero
301
302 if(!partD || !arrayMC || !mcHeader) return 99999.;
303 Int_t code=partD->GetPdgCode();
304 if(TMath::Abs(code)!=421) return 99999.;
305
306 Double_t vtxTrue[3];
307 mcHeader->GetVertex(vtxTrue);
308 Double_t origD[3];
309 partD->XvYvZv(origD);
310 Short_t charge=partD->Charge();
311 Double_t pXdauTrue[2],pYdauTrue[2],pZdauTrue[2];
312 for(Int_t iDau=0; iDau<2; iDau++){
313 pXdauTrue[iDau]=0.;
314 pYdauTrue[iDau]=0.;
315 pZdauTrue[iDau]=0.;
316 }
317
318 Int_t nDau=partD->GetNDaughters();
319 Int_t labelFirstDau = partD->GetDaughter(0);
320 if(nDau==2){
321 for(Int_t iDau=0; iDau<2; iDau++){
322 Int_t ind = labelFirstDau+iDau;
323 AliAODMCParticle* part = dynamic_cast<AliAODMCParticle*>(arrayMC->At(ind));
324 if(!part){
325 printf("Daughter particle not found in MC array");
326 return 99999.;
327 }
328 pXdauTrue[iDau]=part->Px();
329 pYdauTrue[iDau]=part->Py();
330 pZdauTrue[iDau]=part->Pz();
331 }
332 }else{
333 return 99999.;
334 }
335
48efc6ad 336 Double_t d0dummy[2]={0.,0.};
15917f37 337 AliAODRecoDecayHF aodDvsMC(vtxTrue,origD,2,charge,pXdauTrue,pYdauTrue,pZdauTrue,d0dummy);
338 return aodDvsMC.ImpParXY();
339
86d84fa4 340}
b176db3b 341//____________________________________________________________________________
342Double_t AliVertexingHFUtils::GetTrueImpactParameterDplus(AliAODMCHeader *mcHeader, TClonesArray* arrayMC, AliAODMCParticle *partD) {
343 // true impact parameter calculation for Dplus
344
345 if(!partD || !arrayMC || !mcHeader) return 99999.;
346 Int_t code=partD->GetPdgCode();
347 if(TMath::Abs(code)!=411) return 99999.;
348
349 Double_t vtxTrue[3];
350 mcHeader->GetVertex(vtxTrue);
351 Double_t origD[3];
352 partD->XvYvZv(origD);
353 Short_t charge=partD->Charge();
354 Double_t pXdauTrue[3],pYdauTrue[3],pZdauTrue[3];
355 for(Int_t iDau=0; iDau<3; iDau++){
356 pXdauTrue[iDau]=0.;
357 pYdauTrue[iDau]=0.;
358 pZdauTrue[iDau]=0.;
359 }
360
361 Int_t nDau=partD->GetNDaughters();
362 Int_t labelFirstDau = partD->GetDaughter(0);
363 if(nDau==3){
364 for(Int_t iDau=0; iDau<3; iDau++){
365 Int_t ind = labelFirstDau+iDau;
366 AliAODMCParticle* part = dynamic_cast<AliAODMCParticle*>(arrayMC->At(ind));
367 if(!part){
368 printf("Daughter particle not found in MC array");
369 return 99999.;
370 }
371 pXdauTrue[iDau]=part->Px();
372 pYdauTrue[iDau]=part->Py();
373 pZdauTrue[iDau]=part->Pz();
374 }
375 }else if(nDau==2){
376 Int_t theDau=0;
377 for(Int_t iDau=0; iDau<2; iDau++){
378 Int_t ind = labelFirstDau+iDau;
379 AliAODMCParticle* part = dynamic_cast<AliAODMCParticle*>(arrayMC->At(ind));
380 if(!part){
381 printf("Daughter particle not found in MC array");
382 return 99999.;
383 }
384 Int_t pdgCode=TMath::Abs(part->GetPdgCode());
385 if(pdgCode==211 || pdgCode==321){
386 pXdauTrue[theDau]=part->Px();
387 pYdauTrue[theDau]=part->Py();
388 pZdauTrue[theDau]=part->Pz();
389 ++theDau;
390 }else{
391 Int_t nDauRes=part->GetNDaughters();
392 if(nDauRes==2){
393 Int_t labelFirstDauRes = part->GetDaughter(0);
394 for(Int_t iDauRes=0; iDauRes<2; iDauRes++){
395 Int_t indDR = labelFirstDauRes+iDauRes;
396 AliAODMCParticle* partDR = dynamic_cast<AliAODMCParticle*>(arrayMC->At(indDR));
397 if(!partDR){
398 printf("Daughter particle not found in MC array");
399 return 99999.;
400 }
401
402 Int_t pdgCodeDR=TMath::Abs(partDR->GetPdgCode());
403 if(pdgCodeDR==211 || pdgCodeDR==321){
404 pXdauTrue[theDau]=partDR->Px();
405 pYdauTrue[theDau]=partDR->Py();
406 pZdauTrue[theDau]=partDR->Pz();
407 ++theDau;
408 }
409 }
410 }
411 }
412 }
413 if(theDau!=3){
414 printf("Wrong number of decay prongs");
415 return 99999.;
416 }
417 }
418
419 Double_t d0dummy[3]={0.,0.,0.};
420 AliAODRecoDecayHF aodDvsMC(vtxTrue,origD,3,charge,pXdauTrue,pYdauTrue,pZdauTrue,d0dummy);
421 return aodDvsMC.ImpParXY();
422
423}
424
425
426
686e4710 427//____________________________________________________________________________
428Double_t AliVertexingHFUtils::GetCorrectedNtracklets(TProfile* estimatorAvg, Double_t uncorrectedNacc, Double_t vtxZ, Double_t refMult) {
429 //
430 // Correct the number of accepted tracklets based on a TProfile Hist
431 //
432 //
433
434 if(TMath::Abs(vtxZ)>10.0){
435 printf("ERROR: Z vertex out of range for correction of multiplicity\n");
436 return uncorrectedNacc;
437 }
438
439 if(!estimatorAvg){
440 printf("ERROR: Missing TProfile for correction of multiplicity\n");
441 return uncorrectedNacc;
442 }
443
444 Double_t localAvg = estimatorAvg->GetBinContent(estimatorAvg->FindBin(vtxZ));
445
446 Double_t deltaM = uncorrectedNacc*(refMult/localAvg - 1);
447
448 Double_t correctedNacc = uncorrectedNacc + (deltaM>0 ? 1 : -1) * gRandom->Poisson(TMath::Abs(deltaM));
449
450 return correctedNacc;
451}
452