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304864ab 1/**************************************************************************
2 * Copyright(c) 1998-1999, 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/* $Id$ */
17
18///////////////////////////////////////////////////////////////////////////////
19// //
20// particle id probability densities //
21// //
22// The AliPID class stores the probability densities for the different //
23// particle type hypotheses electron, muon, pion, kaon, proton, photon, //
24// pi0, neutron, K0 and electron conversion. These probability densities //
25// are determined from the detector response functions. //
26// The * and *= operators are overloaded for AliPID to combine the PIDs //
27// from different detectors. //
28// //
29// The Bayesian probability to be a particle of a given type can be //
30// calculated from the probability densities, if the a priori probabilities //
31// (or abundences, concentrations) of particle species are known. These //
32// priors can be given as argument to the GetProbability or GetMostProbable //
33// method or they can be set globally by calling the static method //
34// SetPriors(). //
35// //
36// The implementation of this class is based on the note ... //
37// by Iouri Belikov and Karel Safarik. //
38// //
39///////////////////////////////////////////////////////////////////////////////
40
a9bbb414 41#include <TClass.h>
42#include <TDatabasePDG.h>
43#include <TPDGCode.h>
304864ab 44
304864ab 45#include "AliLog.h"
a9bbb414 46#include "AliPID.h"
304864ab 47
90e48c0c 48#define M(PID) TDatabasePDG::Instance()->GetParticle(fgkParticleCode[(PID)])->Mass()
304864ab 49
50ClassImp(AliPID)
51
304864ab 52const char* AliPID::fgkParticleName[AliPID::kSPECIESN+1] = {
53 "electron",
54 "muon",
55 "pion",
56 "kaon",
57 "proton",
58 "photon",
59 "pi0",
60 "neutron",
61 "kaon0",
62 "eleCon",
63 "unknown"
64};
65
66const Int_t AliPID::fgkParticleCode[AliPID::kSPECIESN+1] = {
67 ::kElectron,
68 ::kMuonMinus,
69 ::kPiPlus,
70 ::kKPlus,
71 ::kProton,
72 ::kGamma,
73 ::kPi0,
74 ::kNeutron,
75 ::kK0,
76 ::kGamma,
77 0
78};
79
a9bbb414 80/*const*/ Float_t AliPID::fgkParticleMass[AliPID::kSPECIESN+1] = {
81 0,0,0,0,0,0,0,0,0,0,0
82 /*
90e48c0c 83 M(kElectron), // electron
84 M(kMuon), // muon
85 M(kPion), // pion
86 M(kKaon), // kaon
87 M(kProton), // proton
88 M(kPhoton), // photon
89 M(kPi0), // pi0
90 M(kNeutron), // neutron
91 M(kKaon0), // kaon0
92 M(kEleCon), // electron conversion
93 0.00000 // unknown
a9bbb414 94 */
90e48c0c 95};
304864ab 96
97Double_t AliPID::fgPrior[kSPECIESN] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
98
99
100//_______________________________________________________________________
90e48c0c 101AliPID::AliPID() :
102 TObject(),
103 fCharged(0)
304864ab 104{
a9bbb414 105 //
106 // Default constructor
107 //
108 Init();
109 // set default values (= equal probabilities)
110 for (Int_t i = 0; i < kSPECIESN; i++)
304864ab 111 fProbDensity[i] = 1./kSPECIESN;
304864ab 112}
113
114//_______________________________________________________________________
90e48c0c 115AliPID::AliPID(const Double_t* probDensity, Bool_t charged) :
116 TObject(),
117 fCharged(charged)
304864ab 118{
90e48c0c 119 //
a9bbb414 120 // Standard constructor
90e48c0c 121 //
a9bbb414 122 Init();
123 // set given probability densities
124 for (Int_t i = 0; i < kSPECIES; i++)
304864ab 125 fProbDensity[i] = probDensity[i];
a9bbb414 126
127 for (Int_t i = kSPECIES; i < kSPECIESN; i++)
304864ab 128 fProbDensity[i] = ((charged) ? 0 : probDensity[i]);
304864ab 129}
130
131//_______________________________________________________________________
90e48c0c 132AliPID::AliPID(const Float_t* probDensity, Bool_t charged) :
133 TObject(),
134 fCharged(charged)
304864ab 135{
90e48c0c 136 //
a9bbb414 137 // Standard constructor
90e48c0c 138 //
a9bbb414 139 Init();
140 // set given probability densities
141 for (Int_t i = 0; i < kSPECIES; i++)
304864ab 142 fProbDensity[i] = probDensity[i];
a9bbb414 143
144 for (Int_t i = kSPECIES; i < kSPECIESN; i++)
304864ab 145 fProbDensity[i] = ((charged) ? 0 : probDensity[i]);
304864ab 146}
147
148//_______________________________________________________________________
149AliPID::AliPID(const AliPID& pid) :
150 TObject(pid),
151 fCharged(pid.fCharged)
152{
90e48c0c 153 //
154 // copy constructor
155 //
a9bbb414 156 // We do not call init here, MUST already be done
157 for (Int_t i = 0; i < kSPECIESN; i++)
304864ab 158 fProbDensity[i] = pid.fProbDensity[i];
304864ab 159}
160
161//_______________________________________________________________________
162AliPID& AliPID::operator = (const AliPID& pid)
163{
164// assignment operator
165
166 fCharged = pid.fCharged;
167 for (Int_t i = 0; i < kSPECIESN; i++) {
168 fProbDensity[i] = pid.fProbDensity[i];
169 }
170 return *this;
171}
172
a9bbb414 173//_______________________________________________________________________
174void AliPID::Init()
175{
176 //
177 // Initialise the masses
178 //
179 // Initialise only once...
180 if(!fgkParticleMass[0])
181 for (Int_t i = 0; i < kSPECIESN; i++)
374ef46b 182 fgkParticleMass[i] = M(i);
a9bbb414 183}
304864ab 184
185//_____________________________________________________________________________
186Double_t AliPID::GetProbability(EParticleType iType,
187 const Double_t* prior) const
188{
a9bbb414 189 //
190 // Get the probability to be a particle of type "iType"
191 // assuming the a priori probabilities "prior"
192 //
304864ab 193 Double_t sum = 0.;
194 Int_t nSpecies = ((fCharged) ? kSPECIES : kSPECIESN);
195 for (Int_t i = 0; i < nSpecies; i++) {
196 sum += fProbDensity[i] * prior[i];
197 }
198 if (sum <= 0) {
199 AliError("Invalid probability densities or priors");
200 return -1;
201 }
202 return fProbDensity[iType] * prior[iType] / sum;
203}
204
205//_____________________________________________________________________________
206Double_t AliPID::GetProbability(EParticleType iType) const
207{
208// get the probability to be a particle of type "iType"
209// assuming the globaly set a priori probabilities
210
211 return GetProbability(iType, fgPrior);
212}
213
214//_____________________________________________________________________________
215void AliPID::GetProbabilities(Double_t* probabilities,
216 const Double_t* prior) const
217{
218// get the probabilities to be a particle of given type
219// assuming the a priori probabilities "prior"
220
221 Double_t sum = 0.;
222 Int_t nSpecies = ((fCharged) ? kSPECIES : kSPECIESN);
223 for (Int_t i = 0; i < nSpecies; i++) {
224 sum += fProbDensity[i] * prior[i];
225 }
226 if (sum <= 0) {
227 AliError("Invalid probability densities or priors");
228 for (Int_t i = 0; i < nSpecies; i++) probabilities[i] = -1;
229 return;
230 }
231 for (Int_t i = 0; i < nSpecies; i++) {
232 probabilities[i] = fProbDensity[i] * prior[i] / sum;
233 }
234}
235
236//_____________________________________________________________________________
237void AliPID::GetProbabilities(Double_t* probabilities) const
238{
239// get the probabilities to be a particle of given type
240// assuming the globaly set a priori probabilities
241
242 GetProbabilities(probabilities, fgPrior);
243}
244
245//_____________________________________________________________________________
246AliPID::EParticleType AliPID::GetMostProbable(const Double_t* prior) const
247{
248// get the most probable particle id hypothesis
249// assuming the a priori probabilities "prior"
250
251 Double_t max = 0.;
252 EParticleType id = kPion;
253 Int_t nSpecies = ((fCharged) ? kSPECIES : kSPECIESN);
254 for (Int_t i = 0; i < nSpecies; i++) {
255 Double_t prob = fProbDensity[i] * prior[i];
256 if (prob > max) {
257 max = prob;
258 id = EParticleType(i);
259 }
260 }
261 if (max == 0) {
262 AliError("Invalid probability densities or priors");
263 }
264 return id;
265}
266
267//_____________________________________________________________________________
268AliPID::EParticleType AliPID::GetMostProbable() const
269{
270// get the most probable particle id hypothesis
271// assuming the globaly set a priori probabilities
272
273 return GetMostProbable(fgPrior);
274}
275
276
277//_____________________________________________________________________________
278void AliPID::SetPriors(const Double_t* prior, Bool_t charged)
279{
280// use the given priors as global a priori probabilities
281
282 Double_t sum = 0;
283 for (Int_t i = 0; i < kSPECIESN; i++) {
284 if (charged && (i >= kSPECIES)) {
285 fgPrior[i] = 0;
286 } else {
287 if (prior[i] < 0) {
288 AliWarningClass(Form("negative prior (%g) for %ss. "
289 "Using 0 instead.", prior[i],
290 fgkParticleName[i]));
291 fgPrior[i] = 0;
292 } else {
293 fgPrior[i] = prior[i];
294 }
295 }
296 sum += prior[i];
297 }
298 if (sum == 0) {
299 AliWarningClass("all priors are zero.");
300 }
301}
302
303//_____________________________________________________________________________
304void AliPID::SetPrior(EParticleType iType, Double_t prior)
305{
306// use the given prior as global a priori probability for particles
307// of type "iType"
308
309 if (prior < 0) {
310 AliWarningClass(Form("negative prior (%g) for %ss. Using 0 instead.",
311 prior, fgkParticleName[iType]));
312 prior = 0;
313 }
314 fgPrior[iType] = prior;
315}
316
317
304864ab 318//_____________________________________________________________________________
319AliPID& AliPID::operator *= (const AliPID& pid)
320{
321// combine this probability densities with the one of "pid"
322
323 for (Int_t i = 0; i < kSPECIESN; i++) {
324 fProbDensity[i] *= pid.fProbDensity[i];
325 }
326 return *this;
327}
328
329//_____________________________________________________________________________
330AliPID operator * (const AliPID& pid1, const AliPID& pid2)
331{
332// combine the two probability densities
333
334 AliPID result;
335 result *= pid1;
336 result *= pid2;
337 return result;
338}