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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> | |
17 | #include "AliAODEvent.h" | |
25504150 | 18 | #include "AliAODMCParticle.h" |
a6c5a2e9 | 19 | #include "AliVertexingHFUtils.h" |
20 | ||
d947ea9c | 21 | /* $Id$ */ |
a6c5a2e9 | 22 | |
23 | /////////////////////////////////////////////////////////////////// | |
24 | // // | |
25 | // Class with functions useful for different D2H analyses // | |
26 | // - event plane resolution // | |
27 | // - <pt> calculation with side band subtraction // | |
25504150 | 28 | // - tracklet multiplicity calculation // |
a6c5a2e9 | 29 | // Origin: F.Prino, Torino, prino@to.infn.it // |
30 | // // | |
31 | /////////////////////////////////////////////////////////////////// | |
32 | ||
33 | ClassImp(AliVertexingHFUtils) | |
34 | ||
35 | //______________________________________________________________________ | |
36 | AliVertexingHFUtils::AliVertexingHFUtils():TObject(), | |
37 | fK(1), | |
38 | fSubRes(1.), | |
39 | fMinEtaForTracklets(-1.), | |
40 | fMaxEtaForTracklets(1.) | |
41 | { | |
42 | // Default contructor | |
43 | } | |
44 | ||
45 | ||
46 | //______________________________________________________________________ | |
47 | AliVertexingHFUtils::AliVertexingHFUtils(Int_t k): | |
48 | TObject(), | |
49 | fK(k), | |
50 | fSubRes(1.), | |
51 | fMinEtaForTracklets(-1.), | |
52 | fMaxEtaForTracklets(1.) | |
53 | { | |
54 | // Standard constructor | |
55 | } | |
56 | ||
57 | ||
58 | //______________________________________________________________________ | |
59 | Double_t AliVertexingHFUtils::Pol(Double_t x, Int_t k){ | |
60 | // compute chi from polynomial approximation | |
61 | Double_t c[5]; | |
62 | if(k==1){ | |
63 | c[0]=0.626657; c[1]=0.; c[2]=-0.09694; c[3]=0.02754; c[4]=-0.002283; | |
64 | } | |
65 | else if(k==2){ | |
66 | c[0]=0.; c[1]=0.25; c[2]=-0.011414; c[3]=-0.034726; c[4]=0.006815; | |
67 | } | |
68 | else return -1; | |
69 | 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; | |
70 | } | |
71 | ||
72 | //______________________________________________________________________ | |
73 | Double_t AliVertexingHFUtils:: ResolK1(Double_t x){ | |
74 | return TMath::Sqrt(TMath::Pi()/8)*x*TMath::Exp(-x*x/4)*(TMath::BesselI0(x*x/4)+TMath::BesselI1(x*x/4)); | |
75 | } | |
76 | ||
77 | ||
78 | //______________________________________________________________________ | |
79 | Double_t AliVertexingHFUtils::FindChi(Double_t res, Int_t k){ | |
80 | // compute chi variable (=v2*sqrt(N)) from external values | |
81 | ||
82 | Double_t x1=0; | |
83 | Double_t x2=15; | |
84 | Double_t y1,y2; | |
85 | if(k==1){ | |
86 | y1=ResolK1(x1)-res; | |
87 | y2=ResolK1(x2)-res; | |
88 | } | |
89 | else if(k==2){ | |
90 | y1=Pol(x1,2)-res; | |
91 | y2=Pol(x2,2)-res; | |
92 | } | |
93 | else return -1; | |
94 | ||
95 | if(y1*y2>0) return -1; | |
96 | if(y1==0) return y1; | |
97 | if(y2==0) return y2; | |
98 | Double_t xmed,ymed; | |
99 | Int_t jiter=0; | |
100 | while((x2-x1)>0.0001){ | |
101 | xmed=0.5*(x1+x2); | |
102 | if(k==1){ | |
103 | y1=ResolK1(x1)-res; | |
104 | y2=ResolK1(x2)-res; | |
105 | ymed=ResolK1(xmed)-res; | |
106 | } | |
107 | else if(k==2){ | |
108 | y1=Pol(x1,2)-res; | |
109 | y2=Pol(x2,2)-res; | |
110 | ymed=Pol(xmed,2)-res; | |
111 | } | |
112 | else return -1; | |
113 | if((y1*ymed)<0) x2=xmed; | |
114 | if((y2*ymed)<0)x1=xmed; | |
115 | if(ymed==0) return xmed; | |
116 | jiter++; | |
117 | } | |
118 | return 0.5*(x1+x2); | |
119 | } | |
120 | ||
121 | //______________________________________________________________________ | |
122 | Double_t AliVertexingHFUtils::GetFullEvResol(Double_t resSub, Int_t k){ | |
123 | // computes event plane resolution starting from sub event resolution | |
124 | Double_t chisub=FindChi(resSub,k); | |
125 | Double_t chifull=chisub*TMath::Sqrt(2); | |
126 | if(k==1) return ResolK1(chifull); | |
127 | else if(k==2) return Pol(chifull,2); | |
128 | else{ | |
129 | printf("k should be <=2\n"); | |
130 | return 1.; | |
131 | } | |
132 | } | |
133 | ||
134 | //______________________________________________________________________ | |
135 | Double_t AliVertexingHFUtils::GetFullEvResol(const TH1F* hSubEvCorr, Int_t k){ | |
136 | // computes event plane resolution starting from sub event correlation histogram | |
137 | if(!hSubEvCorr) return 1.; | |
138 | Double_t resSub=GetSubEvResol(hSubEvCorr); | |
139 | return GetFullEvResol(resSub,k); | |
140 | } | |
141 | //______________________________________________________________________ | |
142 | Double_t AliVertexingHFUtils::GetFullEvResolLowLim(const TH1F* hSubEvCorr, Int_t k){ | |
143 | // computes low limit event plane resolution starting from sub event correlation histogram | |
144 | if(!hSubEvCorr) return 1.; | |
145 | Double_t resSub=GetSubEvResolLowLim(hSubEvCorr); | |
146 | printf("%f\n",resSub); | |
147 | return GetFullEvResol(resSub,k); | |
148 | } | |
149 | //______________________________________________________________________ | |
150 | Double_t AliVertexingHFUtils::GetFullEvResolHighLim(const TH1F* hSubEvCorr, Int_t k){ | |
151 | // computes high limit event plane resolution starting from sub event correlation histogram | |
152 | if(!hSubEvCorr) return 1.; | |
153 | Double_t resSub=GetSubEvResolHighLim(hSubEvCorr); | |
154 | printf("%f\n",resSub); | |
155 | return GetFullEvResol(resSub,k); | |
156 | } | |
157 | //______________________________________________________________________ | |
158 | Int_t AliVertexingHFUtils::GetNumberOfTrackletsInEtaRange(AliAODEvent* ev, Double_t mineta, Double_t maxeta){ | |
159 | // counts tracklets in given eta range | |
160 | AliAODTracklets* tracklets=ev->GetTracklets(); | |
161 | Int_t nTr=tracklets->GetNumberOfTracklets(); | |
162 | Int_t count=0; | |
163 | for(Int_t iTr=0; iTr<nTr; iTr++){ | |
164 | Double_t theta=tracklets->GetTheta(iTr); | |
165 | Double_t eta=-TMath::Log(TMath::Tan(theta/2.)); | |
166 | if(eta>mineta && eta<maxeta) count++; | |
167 | } | |
168 | return count; | |
169 | } | |
86d84fa4 | 170 | //______________________________________________________________________ |
25504150 | 171 | Int_t AliVertexingHFUtils::GetGeneratedMultiplicityInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){ |
172 | // counts generated particles in fgiven eta range | |
173 | ||
174 | Int_t nChargedMC=0; | |
175 | for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){ | |
176 | AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i); | |
177 | Int_t charge = part->Charge(); | |
178 | Double_t eta = part->Eta(); | |
179 | if(charge!=0 && eta>mineta && eta<maxeta) nChargedMC++; | |
180 | } | |
181 | return nChargedMC; | |
182 | } | |
183 | //______________________________________________________________________ | |
184 | Int_t AliVertexingHFUtils::GetGeneratedPrimariesInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){ | |
185 | // counts generated primary particles in given eta range | |
186 | ||
187 | Int_t nChargedMC=0; | |
188 | for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){ | |
189 | AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i); | |
190 | Int_t charge = part->Charge(); | |
191 | Double_t eta = part->Eta(); | |
192 | if(charge!=0 && eta>mineta && eta<maxeta){ | |
193 | if(part->IsPrimary())nChargedMC++; | |
194 | } | |
195 | } | |
196 | return nChargedMC; | |
197 | } | |
198 | //______________________________________________________________________ | |
199 | Int_t AliVertexingHFUtils::GetGeneratedPhysicalPrimariesInEtaRange(TClonesArray* arrayMC, Double_t mineta, Double_t maxeta){ | |
200 | // counts generated primary particles in given eta range | |
201 | ||
202 | Int_t nChargedMC=0; | |
203 | for(Int_t i=0;i<arrayMC->GetEntriesFast();i++){ | |
204 | AliAODMCParticle *part=(AliAODMCParticle*)arrayMC->UncheckedAt(i); | |
205 | Int_t charge = part->Charge(); | |
206 | Double_t eta = part->Eta(); | |
207 | if(charge!=0 && eta>mineta && eta<maxeta){ | |
208 | if(part->IsPhysicalPrimary())nChargedMC++; | |
209 | } | |
210 | } | |
211 | return nChargedMC; | |
212 | } | |
213 | //______________________________________________________________________ | |
86d84fa4 | 214 | void 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){ |
215 | ||
216 | // Compute <pt> from 2D histogram M vs pt | |
217 | ||
218 | //Make 2D histos in the desired pt range | |
219 | Int_t start=hMassD->FindBin(ptmin); | |
220 | Int_t end=hMassD->FindBin(ptmax)-1; | |
221 | const Int_t nx=end-start; | |
222 | 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())); | |
223 | for(Int_t ix=start;ix<end;ix++){ | |
224 | for(Int_t iy=1;iy<=hMassD->GetNbinsY();iy++){ | |
225 | hMassDpt->SetBinContent(ix-start+1,iy,hMassD->GetBinContent(ix,iy)); | |
226 | hMassDpt->SetBinError(ix-start+1,iy,hMassD->GetBinError(ix,iy)); | |
227 | } | |
228 | } | |
229 | ||
230 | Double_t minMassSig=massFromFit-sigmaRangeForSig*sigmaFromFit; | |
231 | Double_t maxMassSig=massFromFit+sigmaRangeForSig*sigmaFromFit; | |
232 | Int_t minBinSig=hMassD->GetYaxis()->FindBin(minMassSig); | |
233 | Int_t maxBinSig=hMassD->GetYaxis()->FindBin(maxMassSig); | |
234 | Double_t minMassSigBin=hMassD->GetYaxis()->GetBinLowEdge(minBinSig); | |
235 | Double_t maxMassSigBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinSig)+hMassD->GetYaxis()->GetBinWidth(maxBinSig); | |
236 | // printf("Signal Fit Limits = %f %f\n",minMassSigBin,maxMassSigBin); | |
237 | ||
238 | Double_t maxMassBkgLow=massFromFit-sigmaRangeForBkg*sigmaFromFit; | |
239 | Int_t minBinBkgLow=2; | |
240 | Int_t maxBinBkgLow=hMassD->GetYaxis()->FindBin(maxMassBkgLow); | |
241 | Double_t minMassBkgLowBin=hMassD->GetYaxis()->GetBinLowEdge(minBinBkgLow); | |
242 | Double_t maxMassBkgLowBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinBkgLow)+hMassD->GetYaxis()->GetBinWidth(maxBinBkgLow); | |
243 | Double_t minMassBkgHi=massFromFit+sigmaRangeForBkg*sigmaFromFit; | |
244 | Int_t minBinBkgHi=hMassD->GetYaxis()->FindBin(minMassBkgHi); | |
245 | Int_t maxBinBkgHi=hMassD->GetNbinsY()-1; | |
246 | Double_t minMassBkgHiBin=hMassD->GetYaxis()->GetBinLowEdge(minBinBkgHi); | |
247 | Double_t maxMassBkgHiBin=hMassD->GetYaxis()->GetBinLowEdge(maxBinBkgHi)+hMassD->GetYaxis()->GetBinWidth(maxBinBkgHi); | |
248 | // printf("BKG Fit Limits = %f %f && %f %f\n",minMassBkgLowBin,maxMassBkgLowBin,minMassBkgHiBin,maxMassBkgHiBin); | |
249 | ||
250 | Double_t bkgSig=funcB2->Integral(minMassSigBin,maxMassSigBin); | |
251 | Double_t bkgLow=funcB2->Integral(minMassBkgLowBin,maxMassBkgLowBin); | |
252 | Double_t bkgHi=funcB2->Integral(minMassBkgHiBin,maxMassBkgHiBin); | |
253 | // printf("Background integrals = %f %f %f\n",bkgLow,bkgSig,bkgHi); | |
254 | ||
255 | TH1F* hMptBkgLo=(TH1F*)hMassDpt->ProjectionX("hPtBkgLoBin",minBinBkgLow,maxBinBkgLow); | |
256 | TH1F* hMptBkgHi=(TH1F*)hMassDpt->ProjectionX("hPtBkgHiBin",minBinBkgHi,maxBinBkgHi); | |
257 | TH1F* hMptSigReg=(TH1F*)hMassDpt->ProjectionX("hCPtBkgSigBin",minBinSig,maxBinSig); | |
258 | ||
259 | hMptBkgLo->Rebin(rebin); | |
260 | hMptBkgHi->Rebin(rebin); | |
261 | hMptSigReg->Rebin(rebin); | |
262 | ||
263 | hMptBkgLo->Sumw2(); | |
264 | hMptBkgHi->Sumw2(); | |
265 | TH1F* hMptBkgLoScal=(TH1F*)hMptBkgLo->Clone("hPtBkgLoScalBin"); | |
266 | hMptBkgLoScal->Scale(bkgSig/bkgLow); | |
267 | TH1F* hMptBkgHiScal=(TH1F*)hMptBkgHi->Clone("hPtBkgHiScalBin"); | |
268 | hMptBkgHiScal->Scale(bkgSig/bkgHi); | |
269 | ||
270 | TH1F* hMptBkgAver=0x0; | |
271 | hMptBkgAver=(TH1F*)hMptBkgLoScal->Clone("hPtBkgAverBin"); | |
272 | hMptBkgAver->Add(hMptBkgHiScal); | |
273 | hMptBkgAver->Scale(0.5); | |
274 | TH1F* hMptSig=(TH1F*)hMptSigReg->Clone("hCPtSigBin"); | |
275 | hMptSig->Add(hMptBkgAver,-1.); | |
276 | ||
277 | averagePt = hMptSig->GetMean(); | |
278 | errorPt = hMptSig->GetMeanError(); | |
279 | ||
280 | delete hMptBkgLo; | |
281 | delete hMptBkgHi; | |
282 | delete hMptSigReg; | |
283 | delete hMptBkgLoScal; | |
284 | delete hMptBkgHiScal; | |
285 | delete hMptBkgAver; | |
286 | delete hMassDpt; | |
287 | delete hMptSig; | |
288 | ||
289 | } |