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cd286c84 | 1 | /************************************************************************** |
2 | * Author: Panos Christakoglou. * | |
3 | * Contributors are mentioned in the code where appropriate. * | |
4 | * * | |
5 | * Permission to use, copy, modify and distribute this software and its * | |
6 | * documentation strictly for non-commercial purposes is hereby granted * | |
7 | * without fee, provided that the above copyright notice appears in all * | |
8 | * copies and that both the copyright notice and this permission notice * | |
9 | * appear in the supporting documentation. The authors make no claims * | |
10 | * about the suitability of this software for any purpose. It is * | |
11 | * provided "as is" without express or implied warranty. * | |
12 | **************************************************************************/ | |
13 | ||
14 | /* $Id$ */ | |
15 | ||
16 | //----------------------------------------------------------------- | |
17 | // Balance Function class | |
18 | // This is the class to deal with the Balance Function analysis | |
19 | // Origin: Panos Christakoglou, UOA-CERN, Panos.Christakoglou@cern.ch | |
20 | //----------------------------------------------------------------- | |
21 | ||
22 | ||
cd286c84 | 23 | //ROOT |
24 | #include <Riostream.h> | |
cd286c84 | 25 | #include <TMath.h> |
26 | #include <TLorentzVector.h> | |
27 | ||
28 | #include "AliBalance.h" | |
29 | ||
30 | ClassImp(AliBalance) | |
31 | ||
32 | //----------------------------------------// | |
33 | AliBalance::AliBalance() | |
34 | { | |
93809d0d | 35 | // Default constructor |
cd286c84 | 36 | for(Int_t i = 0; i < MAXIMUM_NUMBER_OF_STEPS; i++) |
37 | { | |
38 | fNpp[i] = .0; | |
39 | fNnn[i] = .0; | |
40 | fNpn[i] = .0; | |
41 | fB[i] = 0.0; | |
42 | ferror[i] = 0.0; | |
43 | } | |
94d49dd3 | 44 | fNp = 0.0; |
45 | fNn = 0.0; | |
93809d0d | 46 | fP2Start = 0.0; |
47 | fP2Stop = 0.0; | |
48 | fP2Step = 0.0; | |
94d49dd3 | 49 | fAnalysisType = 0; |
50 | fNumberOfBins = 0; | |
51 | fNtrack = 0; | |
cd286c84 | 52 | fAnalyzedEvents = 0; |
53 | } | |
54 | ||
55 | //----------------------------------------// | |
93809d0d | 56 | AliBalance::AliBalance(Double_t p2Start, Double_t p2Stop, Int_t p2Bins) |
cd286c84 | 57 | { |
93809d0d | 58 | // Constructor |
59 | for(Int_t i = 0; i < MAXIMUM_NUMBER_OF_STEPS; i++) | |
60 | { | |
61 | fNpp[i] = .0; | |
62 | fNnn[i] = .0; | |
63 | fNpn[i] = .0; | |
64 | fB[i] = 0.0; | |
65 | ferror[i] = 0.0; | |
66 | } | |
67 | fNp = 0.0; | |
68 | fNn = 0.0; | |
69 | fAnalysisType = 0; | |
70 | fNtrack = 0; | |
71 | fAnalyzedEvents = 0; | |
72 | ||
73 | fP2Start = p2Start; | |
74 | fP2Stop = p2Stop; | |
75 | fNumberOfBins = p2Bins; | |
76 | fP2Step = TMath::Abs(fP2Start - fP2Stop) / (Double_t)fNumberOfBins; | |
cd286c84 | 77 | } |
78 | ||
79 | //----------------------------------------// | |
80 | AliBalance::~AliBalance() | |
81 | { | |
93809d0d | 82 | // Destructor |
cd286c84 | 83 | } |
84 | ||
85 | //----------------------------------------// | |
86 | void AliBalance::SetNumberOfBins(Int_t ibins) | |
87 | { | |
93809d0d | 88 | // Sets the number of bins for the analyzed interval |
89 | fNumberOfBins = ibins ; | |
cd286c84 | 90 | } |
91 | ||
92 | //----------------------------------------// | |
93809d0d | 93 | void AliBalance::SetInterval(Double_t p2Start, Double_t p2Stop) |
cd286c84 | 94 | { |
93809d0d | 95 | // Sets the analyzed interval. |
96 | // The analysis variable is set by SetAnalysisType | |
97 | fP2Start = p2Start; | |
98 | fP2Stop = p2Stop; | |
99 | fP2Step = TMath::Abs(p2Start - p2Stop) / (Double_t)fNumberOfBins; | |
cd286c84 | 100 | } |
101 | ||
102 | //----------------------------------------// | |
103 | void AliBalance::SetAnalysisType(Int_t iType) | |
104 | { | |
105 | //0:y - 1:eta - 2:Qlong - 3:Qout - 4:Qside - 5:Qinv - 6:phi | |
106 | this->fAnalysisType = iType; | |
107 | if(fAnalysisType==0) | |
108 | { | |
109 | cout<<" ====================== "<<endl; | |
110 | cout<<"||Analysis selected: y||"<<endl; | |
111 | cout<<" ====================== "<<endl; | |
112 | } | |
113 | else if(fAnalysisType==1) | |
114 | { | |
115 | cout<<" ======================== "<<endl; | |
116 | cout<<"||Analysis selected: eta||"<<endl; | |
117 | cout<<" ======================== "<<endl; | |
118 | } | |
119 | else if(fAnalysisType==2) | |
120 | { | |
121 | cout<<" ========================== "<<endl; | |
122 | cout<<"||Analysis selected: Qlong||"<<endl; | |
123 | cout<<" ========================== "<<endl; | |
124 | } | |
125 | else if(fAnalysisType==3) | |
126 | { | |
127 | cout<<" ========================= "<<endl; | |
128 | cout<<"||Analysis selected: Qout||"<<endl; | |
129 | cout<<" ========================= "<<endl; | |
130 | } | |
131 | else if(fAnalysisType==4) | |
132 | { | |
133 | cout<<" ========================== "<<endl; | |
134 | cout<<"||Analysis selected: Qside||"<<endl; | |
135 | cout<<" ========================== "<<endl; | |
136 | } | |
137 | else if(fAnalysisType==5) | |
138 | { | |
139 | cout<<" ========================= "<<endl; | |
140 | cout<<"||Analysis selected: Qinv||"<<endl; | |
141 | cout<<" ========================= "<<endl; | |
142 | } | |
143 | else if(fAnalysisType==6) | |
144 | { | |
145 | cout<<" ======================== "<<endl; | |
146 | cout<<"||Analysis selected: phi||"<<endl; | |
147 | cout<<" ======================== "<<endl; | |
148 | } | |
149 | else | |
150 | { | |
151 | cout<<"Selection of analysis mode failed!!!"<<endl; | |
152 | cout<<"Choices are: 0:y - 1:eta - 2:Qlong - 3:Qout - 4:Qside - 5:Qinv - 6:phi"<<endl; | |
153 | abort(); | |
154 | } | |
155 | } | |
156 | ||
157 | //----------------------------------------// | |
158 | void AliBalance::SetParticles(TLorentzVector *P, Double_t *charge, Int_t dim) | |
159 | { | |
93809d0d | 160 | // Sets a new particle with given 4-momentum and charge. |
161 | // dim is the size of the array of charges and corresponds | |
162 | // to the number of selected tracks. | |
cd286c84 | 163 | this->fV = P; |
164 | this->fCharge = charge; | |
165 | fNtrack = dim; | |
166 | } | |
167 | ||
168 | ||
169 | //----------------------------------------// | |
170 | void AliBalance::CalculateBalance() | |
171 | { | |
93809d0d | 172 | // Calculates the balance function |
cd286c84 | 173 | fAnalyzedEvents++; |
174 | Int_t i = 0 , j = 0; | |
175 | Int_t ibin = 0; | |
176 | ||
177 | for(i = 0; i < fNtrack; i++) | |
178 | { | |
179 | if(fCharge[i] > 0) | |
180 | fNp += 1.; | |
181 | if(fCharge[i] < 0) | |
182 | fNn += 1.; | |
183 | } | |
184 | ||
185 | //0:y - 1:eta - 2:Qlong - 3:Qout - 4:Qside - 5:Qinv - 6:phi | |
186 | if(fAnalysisType==0) | |
187 | { | |
188 | for(i = 1; i < fNtrack; i++) | |
189 | { | |
190 | for(j = 0; j < i; j++) | |
191 | { | |
192 | Double_t rap1 = 0.5*log((fV[i].E() - fV[i].Pz())/(fV[i].E() + fV[i].Pz())); | |
193 | Double_t rap2 = 0.5*log((fV[j].E() - fV[j].Pz())/(fV[j].E() + fV[j].Pz())); | |
194 | Double_t dy = TMath::Abs(rap1 - rap2); | |
93809d0d | 195 | ibin = Int_t(dy/fP2Step); |
cd286c84 | 196 | if((fCharge[i] > 0)&&(fCharge[j] > 0)) |
197 | fNpp[ibin] += 1.; | |
198 | if((fCharge[i] < 0)&&(fCharge[j] < 0)) | |
199 | fNnn[ibin] += 1.; | |
200 | if((fCharge[i] > 0)&&(fCharge[j] < 0)) | |
201 | fNpn[ibin] += 1.; | |
202 | if((fCharge[i] < 0)&&(fCharge[j] > 0)) | |
203 | fNpn[ibin] += 1.; | |
204 | } | |
205 | } | |
206 | }//case 0 | |
207 | if(fAnalysisType==1) | |
208 | { | |
209 | for(i = 1; i < fNtrack; i++) | |
210 | { | |
211 | for(j = 0; j < i; j++) | |
212 | { | |
93809d0d | 213 | Double_t p1 = sqrt(pow(fV[i].Px(),2) + pow(fV[i].Py(),2) + pow(fV[i].Pz(),2)); |
214 | Double_t p2 = sqrt(pow(fV[j].Px(),2) + pow(fV[j].Py(),2) + pow(fV[j].Pz(),2)); | |
215 | Double_t eta1 = 0.5*log((p1 - fV[i].Pz())/(p1 + fV[i].Pz())); | |
216 | Double_t eta2 = 0.5*log((p2 - fV[j].Pz())/(p2 + fV[j].Pz())); | |
cd286c84 | 217 | Double_t deta = TMath::Abs(eta1 - eta2); |
93809d0d | 218 | ibin = Int_t(deta/fP2Step); |
cd286c84 | 219 | if((fCharge[i] > 0)&&(fCharge[j] > 0)) |
220 | fNpp[ibin] += 1.; | |
221 | if((fCharge[i] < 0)&&(fCharge[j] < 0)) | |
222 | fNnn[ibin] += 1.; | |
223 | if((fCharge[i] > 0)&&(fCharge[j] < 0)) | |
224 | fNpn[ibin] += 1.; | |
225 | if((fCharge[i] < 0)&&(fCharge[j] > 0)) | |
226 | fNpn[ibin] += 1.; | |
227 | } | |
228 | } | |
229 | }//case 1 | |
230 | if(fAnalysisType==2) | |
231 | { | |
232 | for(i = 1; i < fNtrack; i++) | |
233 | { | |
234 | for(j = 0; j < i; j++) | |
235 | { | |
93809d0d | 236 | Double_t eTot = fV[i].E() + fV[j].E(); |
237 | Double_t pxTot = fV[i].Px() + fV[j].Px(); | |
238 | Double_t pyTot = fV[i].Py() + fV[j].Py(); | |
239 | Double_t pzTot = fV[i].Pz() + fV[j].Pz(); | |
240 | Double_t q0Tot = fV[i].E() - fV[j].E(); | |
241 | Double_t qzTot = fV[i].Pz() - fV[j].Pz(); | |
242 | Double_t snn = pow(eTot,2) - pow(pxTot,2) - pow(pyTot,2) - pow(pzTot,2); | |
243 | Double_t ptTot = sqrt( pow(pxTot,2) + pow(pyTot,2)); | |
244 | Double_t qLong = TMath::Abs(eTot*qzTot - pzTot*q0Tot)/sqrt(snn + pow(ptTot,2)); | |
245 | ibin = Int_t(qLong/fP2Step); | |
cd286c84 | 246 | //cout<<ibin<<endl; |
247 | if((fCharge[i] > 0)&&(fCharge[j] > 0)) | |
248 | fNpp[ibin] += 1.; | |
249 | if((fCharge[i] < 0)&&(fCharge[j] < 0)) | |
250 | fNnn[ibin] += 1.; | |
251 | if((fCharge[i] > 0)&&(fCharge[j] < 0)) | |
252 | fNpn[ibin] += 1.; | |
253 | if((fCharge[i] < 0)&&(fCharge[j] > 0)) | |
254 | fNpn[ibin] += 1.; | |
255 | } | |
256 | } | |
257 | }//case 2 | |
258 | if(fAnalysisType==3) | |
259 | { | |
260 | for(i = 1; i < fNtrack; i++) | |
261 | { | |
262 | for(j = 0; j < i; j++) | |
263 | { | |
93809d0d | 264 | Double_t eTot = fV[i].E() + fV[j].E(); |
265 | Double_t pxTot = fV[i].Px() + fV[j].Px(); | |
266 | Double_t pyTot = fV[i].Py() + fV[j].Py(); | |
267 | Double_t pzTot = fV[i].Pz() + fV[j].Pz(); | |
268 | Double_t qxTot = fV[i].Px() - fV[j].Px(); | |
269 | Double_t qyTot = fV[i].Py() - fV[j].Py(); | |
270 | Double_t snn = pow(eTot,2) - pow(pxTot,2) - pow(pyTot,2) - pow(pzTot,2); | |
271 | Double_t ptTot = sqrt( pow(pxTot,2) + pow(pyTot,2)); | |
272 | Double_t qOut = sqrt(snn/(snn + pow(ptTot,2))) * TMath::Abs(pxTot*qxTot + pyTot*qyTot)/ptTot; | |
273 | ibin = Int_t(qOut/fP2Step); | |
cd286c84 | 274 | //cout<<ibin<<endl; |
275 | if((fCharge[i] > 0)&&(fCharge[j] > 0)) | |
276 | fNpp[ibin] += 1.; | |
277 | if((fCharge[i] < 0)&&(fCharge[j] < 0)) | |
278 | fNnn[ibin] += 1.; | |
279 | if((fCharge[i] > 0)&&(fCharge[j] < 0)) | |
280 | fNpn[ibin] += 1.; | |
281 | if((fCharge[i] < 0)&&(fCharge[j] > 0)) | |
282 | fNpn[ibin] += 1.; | |
283 | } | |
284 | } | |
285 | }//case 3 | |
286 | if(fAnalysisType==4) | |
287 | { | |
288 | for(i = 1; i < fNtrack; i++) | |
289 | { | |
290 | for(j = 0; j < i; j++) | |
291 | { | |
93809d0d | 292 | Double_t pxTot = fV[i].Px() + fV[j].Px(); |
293 | Double_t pyTot = fV[i].Py() + fV[j].Py(); | |
294 | Double_t qxTot = fV[i].Px() - fV[j].Px(); | |
295 | Double_t qyTot = fV[i].Py() - fV[j].Py(); | |
296 | Double_t ptTot = sqrt( pow(pxTot,2) + pow(pyTot,2)); | |
297 | Double_t qSide = TMath::Abs(pxTot*qyTot - pyTot*qxTot)/ptTot; | |
298 | ibin = Int_t(qSide/fP2Step); | |
cd286c84 | 299 | //cout<<ibin<<endl; |
300 | if((fCharge[i] > 0)&&(fCharge[j] > 0)) | |
301 | fNpp[ibin] += 1.; | |
302 | if((fCharge[i] < 0)&&(fCharge[j] < 0)) | |
303 | fNnn[ibin] += 1.; | |
304 | if((fCharge[i] > 0)&&(fCharge[j] < 0)) | |
305 | fNpn[ibin] += 1.; | |
306 | if((fCharge[i] < 0)&&(fCharge[j] > 0)) | |
307 | fNpn[ibin] += 1.; | |
308 | } | |
309 | } | |
310 | }//case 4 | |
311 | if(fAnalysisType==5) | |
312 | { | |
313 | for(i = 1; i < fNtrack; i++) | |
314 | { | |
315 | for(j = 0; j < i; j++) | |
316 | { | |
93809d0d | 317 | Double_t q0Tot = fV[i].E() - fV[j].E(); |
318 | Double_t qxTot = fV[i].Px() - fV[j].Px(); | |
319 | Double_t qyTot = fV[i].Py() - fV[j].Py(); | |
320 | Double_t qzTot = fV[i].Pz() - fV[j].Pz(); | |
321 | Double_t qInv = sqrt(TMath::Abs(-pow(q0Tot,2) +pow(qxTot,2) +pow(qyTot,2) +pow(qzTot,2))); | |
322 | ibin = Int_t(qInv/fP2Step); | |
cd286c84 | 323 | //cout<<ibin<<endl; |
324 | if((fCharge[i] > 0)&&(fCharge[j] > 0)) | |
325 | fNpp[ibin] += 1.; | |
326 | if((fCharge[i] < 0)&&(fCharge[j] < 0)) | |
327 | fNnn[ibin] += 1.; | |
328 | if((fCharge[i] > 0)&&(fCharge[j] < 0)) | |
329 | fNpn[ibin] += 1.; | |
330 | if((fCharge[i] < 0)&&(fCharge[j] > 0)) | |
331 | fNpn[ibin] += 1.; | |
332 | } | |
333 | } | |
334 | }//case 5 | |
335 | if(fAnalysisType==6) | |
336 | { | |
337 | for(i = 1; i < fNtrack; i++) | |
338 | { | |
339 | for(j = 0; j < i; j++) | |
340 | { | |
341 | Double_t phi1 = TMath::ATan(fV[i].Py()/fV[i].Px())*180.0/TMath::Pi(); | |
342 | Double_t phi2 = TMath::ATan(fV[j].Py()/fV[j].Px())*180.0/TMath::Pi(); | |
343 | Double_t dphi = TMath::Abs(phi1 - phi2); | |
93809d0d | 344 | ibin = Int_t(dphi/fP2Step); |
cd286c84 | 345 | if((fCharge[i] > 0)&&(fCharge[j] > 0)) |
346 | fNpp[ibin] += 1.; | |
347 | if((fCharge[i] < 0)&&(fCharge[j] < 0)) | |
348 | fNnn[ibin] += 1.; | |
349 | if((fCharge[i] > 0)&&(fCharge[j] < 0)) | |
350 | fNpn[ibin] += 1.; | |
351 | if((fCharge[i] < 0)&&(fCharge[j] > 0)) | |
352 | fNpn[ibin] += 1.; | |
353 | } | |
354 | } | |
355 | }//case 6 | |
356 | } | |
357 | ||
358 | //----------------------------------------// | |
359 | Double_t AliBalance::GetBalance(Int_t p2) | |
360 | { | |
93809d0d | 361 | // Returns the value of the balance function in bin p2 |
362 | fB[p2] = 0.5*(((fNpn[p2] - 2.0*fNnn[p2])/fNn) + ((fNpn[p2] - 2.0*fNpp[p2])/fNp))/fP2Step; | |
cd286c84 | 363 | |
364 | return fB[p2]; | |
365 | } | |
366 | ||
367 | //----------------------------------------// | |
368 | Double_t AliBalance::GetError(Int_t p2) | |
369 | { | |
93809d0d | 370 | // Returns the error on the BF value for bin p2 |
371 | ferror[p2] = sqrt( Double_t(fNpp[p2])/(Double_t(fNp)*Double_t(fNp)) + Double_t(fNnn[p2])/(Double_t(fNn)*Double_t(fNn)) + Double_t(fNpn[p2])*pow((0.5/Double_t(fNp) + 0.5/Double_t(fNn)),2))/fP2Step; | |
cd286c84 | 372 | |
373 | return ferror[p2]; | |
374 | } | |
375 | ||
376 | //----------------------------------------// | |
377 | void AliBalance::PrintResults() | |
378 | { | |
93809d0d | 379 | // Prints the results |
cd286c84 | 380 | Double_t x[MAXIMUM_NUMBER_OF_STEPS]; |
381 | Double_t fSumXi = 0.0, fSumBi = 0.0, fSumBiXi = 0.0; | |
382 | Double_t fSumBiXi2 = 0.0, fSumBi2Xi2 = 0.0; | |
383 | Double_t fSumDeltaBi2 = 0.0, fSumXi2DeltaBi2 = 0.0; | |
93809d0d | 384 | Double_t deltaBalP2 = 0.0, integral = 0.0; |
385 | Double_t deltaErrorNew = 0.0; | |
cd286c84 | 386 | |
387 | cout<<"=================================================="<<endl; | |
388 | for(Int_t i = 0; i < fNumberOfBins; i++) | |
389 | { | |
93809d0d | 390 | x[i] = fP2Start + fP2Step*i + fP2Step/2 ; |
94d49dd3 | 391 | cout<<"B: "<<fB[i]<<"\t Error: "<<ferror[i]<<"\t bin: "<<x[i]<<endl; |
cd286c84 | 392 | } |
393 | cout<<"=================================================="<<endl; | |
394 | for(Int_t i = 1; i < fNumberOfBins; i++) | |
395 | { | |
396 | fSumXi += x[i]; | |
397 | fSumBi += fB[i]; | |
398 | fSumBiXi += fB[i]*x[i]; | |
399 | fSumBiXi2 += fB[i]*pow(x[i],2); | |
400 | fSumBi2Xi2 += pow(fB[i],2)*pow(x[i],2); | |
401 | fSumDeltaBi2 += pow(ferror[i],2) ; | |
402 | fSumXi2DeltaBi2 += pow(x[i],2) * pow(ferror[i],2) ; | |
403 | ||
93809d0d | 404 | deltaBalP2 += fP2Step*pow(ferror[i],2) ; |
405 | integral += fP2Step*fB[i] ; | |
cd286c84 | 406 | } |
407 | for(Int_t i = 1; i < fNumberOfBins; i++) | |
408 | { | |
93809d0d | 409 | deltaErrorNew += ferror[i]*(x[i]*fSumBi - fSumBiXi)/pow(fSumBi,2); |
cd286c84 | 410 | } |
93809d0d | 411 | Double_t integralError = sqrt(deltaBalP2) ; |
cd286c84 | 412 | |
93809d0d | 413 | Double_t delta = fSumBiXi / fSumBi ; |
414 | Double_t deltaError = (fSumBiXi / fSumBi) * sqrt(pow((sqrt(fSumXi2DeltaBi2)/fSumBiXi),2) + pow((fSumDeltaBi2/fSumBi),2) ) ; | |
cd286c84 | 415 | |
416 | cout<<"Analyzed events: "<<fAnalyzedEvents<<endl; | |
93809d0d | 417 | cout<<"Width: "<<delta<<"\t Error: "<<deltaError<<endl; |
418 | cout<<"New error: "<<deltaErrorNew<<endl; | |
419 | cout<<"Interval: "<<integral<<"\t Error: "<<integralError<<endl; | |
cd286c84 | 420 | cout<<"=================================================="<<endl; |
421 | } | |
422 |