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7b54a483 | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-2009, 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 | #include "AliLog.h" | |
16 | #include "AliBtoJPSItoEleCDFfitFCN.h" | |
17 | ||
18 | //_________________________________________________________________________ | |
19 | // Class AliBtoJPSItoEleCDFfitFCN | |
20 | // Definition of main function used in | |
21 | // unbinned log-likelihood fit for | |
22 | // the channel B -> JPsi + X -> e+e- + X | |
23 | // | |
24 | // Origin: C.Di Giglio | |
25 | // Contact: Carmelo.Digiglio@ba.infn.it , Giuseppe.Bruno@ba.infn.it | |
26 | //_________________________________________________________________________ | |
27 | ||
28 | ClassImp(AliBtoJPSItoEleCDFfitFCN) | |
29 | ||
30 | //_________________________________________________________________________________________________ | |
31 | AliBtoJPSItoEleCDFfitFCN::AliBtoJPSItoEleCDFfitFCN() : | |
32 | fFPlus(0.), | |
33 | fFMinus(0.), | |
34 | fFSym(0.), | |
35 | fIntegral(0.), | |
36 | fhCsiMC(0x0), | |
37 | fMassWndHigh(0.), | |
38 | fMassWndLow(0.), | |
39 | fCrystalBallParam(kFALSE) | |
40 | { | |
41 | // | |
42 | // constructor | |
43 | // | |
44 | SetCrystalBallParam(kFALSE); | |
45 | SetMassWndHigh(0.2); | |
46 | SetMassWndLow(0.5); | |
47 | for(Int_t iPar = 0; iPar < 13; iPar++) fParameters[iPar] = 0.; | |
48 | fParameters[9] = 1.;fParameters[11] = 1.;fParameters[12] = 1.; | |
49 | for(Int_t index=0; index<7; index++) fResolutionConstants[index] = 0.; | |
50 | AliInfo("Instance of AliBtoJPSItoEleCDFfitFCN-class created"); | |
51 | } | |
52 | //_________________________________________________________________________________________________ | |
53 | AliBtoJPSItoEleCDFfitFCN::AliBtoJPSItoEleCDFfitFCN(const AliBtoJPSItoEleCDFfitFCN& source) : | |
54 | TNamed(source), | |
55 | fFPlus(source.fFPlus), | |
56 | fFMinus(source.fFMinus), | |
57 | fFSym(source.fFSym), | |
58 | fIntegral(source.fIntegral), | |
59 | fhCsiMC(source.fhCsiMC), | |
60 | fMassWndHigh(source.fMassWndHigh), | |
61 | fMassWndLow(source.fMassWndLow), | |
62 | fCrystalBallParam(source.fCrystalBallParam) | |
63 | { | |
64 | // | |
65 | // Copy constructor | |
66 | // | |
67 | for(Int_t iPar = 0; iPar < 13; iPar++) fParameters[iPar] = source.fParameters[iPar]; | |
68 | for(Int_t index=0; index<7; index++) fResolutionConstants[index] = source.fResolutionConstants[index]; | |
69 | } | |
70 | //_________________________________________________________________________________________________ | |
71 | AliBtoJPSItoEleCDFfitFCN& AliBtoJPSItoEleCDFfitFCN::operator=(const AliBtoJPSItoEleCDFfitFCN& source) | |
72 | { | |
73 | // | |
74 | // Assignment operator | |
75 | // | |
76 | if(&source == this) return *this; | |
77 | fFPlus = source.fFPlus; | |
78 | fFMinus = source.fFMinus; | |
79 | fFSym = source.fFSym; | |
80 | fIntegral = source.fIntegral; | |
81 | fhCsiMC = source.fhCsiMC; | |
82 | fCrystalBallParam = source.fCrystalBallParam; | |
83 | ||
84 | for(Int_t iPar = 0; iPar < 13; iPar++) fParameters[iPar] = source.fParameters[iPar]; | |
85 | for(Int_t index=0; index<7; index++) fResolutionConstants[index] = source.fResolutionConstants[index]; | |
86 | ||
87 | return *this; | |
88 | } | |
89 | //_________________________________________________________________________________________________ | |
90 | AliBtoJPSItoEleCDFfitFCN::~AliBtoJPSItoEleCDFfitFCN() | |
91 | { | |
92 | // | |
93 | // Default destructor | |
94 | // | |
95 | ||
96 | delete fhCsiMC; | |
97 | for(Int_t iPar = 0; iPar < 13; iPar++) fParameters[iPar] = 0.; | |
98 | for(Int_t index=0; index<7; index++) fResolutionConstants[index] = 0.; | |
99 | } | |
100 | //_________________________________________________________________________________________________ | |
101 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateLikelihood(const Double_t* pseudoproperdecaytime, | |
102 | const Double_t* invariantmass, const Int_t ncand) | |
103 | { | |
104 | // | |
105 | // This function evaluates the Likelihood fnction | |
106 | // It returns the -Log(of the likelihood function) | |
107 | // | |
108 | Double_t f = 0.; | |
109 | Double_t ret = 0.; | |
110 | ||
111 | for(Int_t i=0; i < ncand; i++) { | |
112 | f = EvaluateCDFfuncNorm(pseudoproperdecaytime[i],invariantmass[i]); | |
113 | if(f < 0.) { | |
114 | //AliWarning("One negative contributors in the Log(Likely) ! "); | |
115 | continue; | |
116 | } | |
117 | ret+=-1.*TMath::Log(f); | |
118 | } | |
119 | return ret; | |
120 | } | |
121 | //_________________________________________________________________________________________________ | |
122 | void AliBtoJPSItoEleCDFfitFCN::SetAllParameters(const Double_t* parameters) | |
123 | { | |
124 | // | |
125 | // Sets array of FCN parameters | |
126 | // | |
127 | for(Int_t index = 0; index < 13; index++) fParameters[index] = parameters[index]; | |
128 | } | |
129 | //_________________________________________________________________________________________________ | |
130 | void AliBtoJPSItoEleCDFfitFCN::ComputeIntegral() | |
131 | { | |
132 | // | |
133 | // this function compute the integral of the likelihood function | |
134 | // (theoretical function) in order to normalize it to unity | |
135 | // | |
136 | Double_t np = 50.0; //number of integration steps | |
137 | Double_t stepm;Double_t stepx; //integration step width in variable m,x | |
138 | Double_t mx;Double_t xx; | |
139 | Double_t xlow = -4000.; Double_t xup = 4000.; | |
140 | Double_t i; Double_t j; | |
141 | Double_t sumx = 0.0;Double_t intx = 0.0;Double_t intm = 0.0; | |
142 | stepm = (fMassWndHigh-fMassWndLow)/np; | |
143 | stepx = (xup-xlow)/np; | |
144 | ||
145 | for(i = 1.0; i <= np; i++) { | |
146 | Double_t summ = 0.0; | |
147 | xx = xlow + (i - .5)*stepx; | |
148 | for(j = 1.0; j <= np/2; j++) { | |
149 | mx = fMassWndLow + (j - .5)*stepm; | |
150 | summ += EvaluateCDFfunc(xx,mx); | |
151 | mx = fMassWndHigh - (j - .5)*stepm; | |
152 | summ += EvaluateCDFfunc(xx,mx); | |
153 | } | |
154 | intm = summ*stepm; | |
155 | sumx += intm; | |
156 | } | |
157 | intx = sumx*stepx; | |
158 | SetIntegral(intx); | |
159 | } | |
160 | //_________________________________________________________________________________________________ | |
161 | void AliBtoJPSItoEleCDFfitFCN::PrintStatus() | |
162 | { | |
163 | // | |
164 | // Print the parameters of the fits | |
165 | // | |
166 | printf("\n"); | |
167 | printf("actual value of fRadius---------------------------------------->> | %f \n", GetRadius()); | |
168 | printf("actual value of fTheta ---------------------------------------->> | %f \n", GetTheta()); | |
169 | printf("actual value of fPhi ------------------------------------------>> | %f \n", GetPhi()); | |
170 | printf("actual value of fFPlus ---------------------------------------->> | %f \n", GetFPlus()); | |
171 | printf("actual value of fFMinus --------------------------------------->> | %f \n", GetFMinus()); | |
172 | printf("actual value of fFSym ----------------------------------------->> | %f \n", GetFSym()); | |
173 | printf("actual value of fOneOvLamPlus --------------------------------->> | %f \n", GetLamPlus()); | |
174 | printf("actual value of fOneOvLamMinus -------------------------------->> | %f \n", GetLamMinus()); | |
175 | printf("actual value of fOneOvLamSym ---------------------------------->> | %f \n", GetLamSym()); | |
176 | printf("actual value of fMassBkgSlope --------------------------------->> | %f \n", GetMassSlope()); | |
177 | printf("actual value of fFractionJpsiFromBeauty ----------------------->> | %f \n", GetFractionJpsiFromBeauty()); | |
178 | printf("actual value of fFsig ----------------------------------------->> | %f \n", GetFsig()); | |
179 | if(fCrystalBallParam){ | |
180 | printf("actual value of fCrystalBallMmean ----------------------------->> | %f \n", GetCrystalBallMmean()); | |
181 | printf("actual value of fCrystalBallNexp ------------------------------>> | %f \n", GetCrystalBallNexp()); | |
182 | printf("actual value of fCrystalBallSigma ----------------------------->> | %f \n", GetCrystalBallSigma()); | |
183 | printf("actual value of fCrystalBallAlpha ----------------------------->> | %f \n", GetCrystalBallAlpha()); | |
184 | }else{ | |
185 | printf("actual value of fMpv ------------------------------------------>> | %f \n", GetCrystalBallMmean()); | |
186 | printf("actual value of fConstRovL ------------------------------------>> | %f \n", GetCrystalBallNexp()); | |
187 | printf("actual value of fSigmaL --------------------------------------->> | %f \n", GetCrystalBallSigma()); | |
188 | printf("actual value of fSigmaR --------------------------------------->> | %f \n", GetCrystalBallAlpha()); | |
189 | } | |
190 | printf("\n"); | |
191 | printf("Actual value of normalization integral for FCN ---------------->> | %f \n", GetIntegral()); | |
192 | printf("\n"); | |
193 | } | |
194 | //_________________________________________________________________________________________________ | |
195 | void AliBtoJPSItoEleCDFfitFCN::SetResolutionConstants(Int_t BinNum) | |
196 | { | |
197 | // This method must be update. | |
198 | // For the time beeing the values are hard-wired. | |
199 | // Implementations have to be done to set the values from outside (e.g. from a ConfigHF file) | |
200 | // | |
201 | switch(BinNum){ | |
202 | ||
203 | case(kallpt): | |
204 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*535.9 ; fResolutionConstants[4] = 1.171*5535.9 ;//from fit integrated in pt | |
205 | fResolutionConstants[1] = 0.0998*535.9; fResolutionConstants[3] = 0.1072 ; fResolutionConstants[5] = 0.04115 ; fResolutionConstants[6] = 1e-04; | |
206 | break; | |
207 | case(kptbin1): | |
208 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*1087 ; fResolutionConstants[4] = 1.171*1087 ;//from fit integrated in pt | |
209 | fResolutionConstants[1] = 0.04253*1087 ; fResolutionConstants[3] = 0.1482 ; fResolutionConstants[5] = 0.09778 ; fResolutionConstants[6] = 3.773e-04; | |
210 | break; | |
211 | case(kptbin2): | |
212 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*661.5 ; fResolutionConstants[4] = 1.171*661.5 ;//from fit integrated in pt | |
213 | fResolutionConstants[1] = 0.1*661.5 ; fResolutionConstants[3] = 0.2809 ; fResolutionConstants[5] = 0.09771 ; fResolutionConstants[6] = 1.916e-04; | |
214 | break; | |
215 | case(kptbin3): | |
216 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*502.8 ; fResolutionConstants[4] = 1.171*502.8 ;//from fit integrated in pt | |
217 | fResolutionConstants[1] = 0.1578*502.8 ; fResolutionConstants[3] = 0.3547 ; fResolutionConstants[5] = 0.09896 ; fResolutionConstants[6] = 5.241e-04; | |
218 | break; | |
219 | case(kptbin4): | |
220 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*502.8 ; fResolutionConstants[4] = 1.171*502.8 ;//from fit integrated in pt | |
221 | fResolutionConstants[1] = 0.2048*415.9 ; fResolutionConstants[3] = 0.4265 ; fResolutionConstants[5] = 0.09597 ; fResolutionConstants[6] = 6.469e-04; | |
222 | break; | |
223 | case(kptbin5): | |
224 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*502.8 ; fResolutionConstants[4] = 1.171*502.8 ;//from fit integrated in pt | |
225 | fResolutionConstants[1] = 0.2219*379.7 ; fResolutionConstants[3] = 0.5414 ; fResolutionConstants[5] = 0.07506 ; fResolutionConstants[6] = 7.465e-04; | |
226 | break; | |
227 | case(kptbin6): | |
228 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*502.8 ; fResolutionConstants[4] = 1.171*502.8 ;//from fit integrated in pt | |
229 | fResolutionConstants[1] = 0.2481*307. ; fResolutionConstants[3] = 0.8073 ; fResolutionConstants[5] = 0.09664 ; fResolutionConstants[6] = 8.481e-04; | |
230 | break; | |
231 | case(kptbin7): | |
232 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*502.8 ; fResolutionConstants[4] = 1.171*502.8 ;//from fit integrated in pt | |
233 | fResolutionConstants[1] = 0.262*283.5 ; fResolutionConstants[3] = 0.9639 ; fResolutionConstants[5] = 0.07943 ; fResolutionConstants[6] = 6.873e-04; | |
234 | break; | |
235 | case(kptbin8): | |
236 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*502.8 ; fResolutionConstants[4] = 1.171*502.8 ;//from fit integrated in pt | |
237 | fResolutionConstants[1] = 0.4514*204.8 ; fResolutionConstants[3] = 0.98 ; fResolutionConstants[5] = 0.1192 ; fResolutionConstants[6] = 8.646e-04; | |
238 | break; | |
239 | case(kptbin9): | |
240 | fResolutionConstants[0] = 0.326 ; fResolutionConstants[2] = 0.3622*502.8 ; fResolutionConstants[4] = 1.171*502.8 ;//from fit integrated in pt | |
241 | fResolutionConstants[1] = 0.525*181. ; fResolutionConstants[3] = 0.99 ; fResolutionConstants[5] = 0.1097 ; fResolutionConstants[6] = 9.637e-04; | |
242 | break; | |
243 | } | |
244 | } | |
245 | //_________________________________________________________________________________________________ | |
246 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFfunc(Double_t x, Double_t m) const | |
247 | { | |
248 | return fParameters[8]*EvaluateCDFfuncSignalPart(x,m) + (1. - fParameters[8])*EvaluateCDFfuncBkgPart(x,m); | |
249 | } | |
250 | //_________________________________________________________________________________________________ | |
251 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFfuncNorm(Double_t x, Double_t m) const | |
252 | { | |
253 | return EvaluateCDFfunc(x,m)/fIntegral; | |
254 | } | |
255 | //_________________________________________________________________________________________________ | |
256 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFfuncSignalPart(Double_t x, Double_t m) const | |
257 | { | |
258 | return EvaluateCDFDecayTimeSigDistr(x)*EvaluateCDFInvMassSigDistr(m); | |
259 | } | |
260 | //_________________________________________________________________________________________________ | |
261 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFDecayTimeSigDistr(Double_t x) const | |
262 | { | |
263 | // | |
264 | // Implementation of the Background part of the Likelyhood function | |
265 | // | |
266 | // | |
267 | Double_t retvalue = 0.; | |
268 | retvalue = fParameters[7]*FunB(x) + (1. - fParameters[7])*FunP(x); | |
269 | return retvalue; | |
270 | } | |
271 | //_________________________________________________________________________________________________ | |
272 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFInvMassSigDistr(Double_t m) const | |
273 | { | |
274 | // | |
275 | // Parametrization of signal part invariant mass distribution | |
276 | // It can be either Crystal Ball function or sum of two Landau | |
277 | // | |
278 | Double_t fitval = 0.; | |
279 | ||
280 | if(fCrystalBallParam){ | |
281 | Double_t fitvalCB = 0.; | |
282 | Double_t normFactorCB = 1.; | |
283 | Double_t arg = (m - fParameters[9])/fParameters[11]; | |
284 | Double_t numfactor = fParameters[10]; | |
285 | Double_t denomfactor = numfactor - TMath::Abs(fParameters[12]) - arg; | |
286 | ||
287 | if(arg <= -1*TMath::Abs(fParameters[12])){ | |
288 | Double_t exponent = fParameters[10]*TMath::Abs(fParameters[12]); | |
289 | Double_t numer = TMath::Exp(-0.5*fParameters[12]*fParameters[12])*TMath::Power(numfactor,exponent); | |
290 | Double_t denom = TMath::Power(denomfactor,exponent); | |
291 | fitvalCB += numer/denom; | |
292 | } | |
293 | if(arg > -1*TMath::Abs(fParameters[12])){ | |
294 | fitvalCB += TMath::Exp(-0.5*arg*arg); | |
295 | } | |
296 | fitval = normFactorCB*fitvalCB; | |
297 | return fitval; | |
298 | }else{ | |
299 | Double_t t=-1*m; | |
300 | Double_t tmpv=-1*fParameters[9]; | |
301 | fitval=TMath::Sqrt(TMath::Landau(t,tmpv,fParameters[11])); | |
302 | fitval += fParameters[10]*(TMath::Landau(m,fParameters[9],fParameters[12])); | |
303 | return fitval; | |
304 | } | |
305 | } | |
306 | //_________________________________________________________________________________________________ | |
307 | Double_t AliBtoJPSItoEleCDFfitFCN::FunB(Double_t x) const | |
308 | { | |
309 | // | |
310 | // Parameterisation of the fit function for the x part of the Background | |
311 | // | |
312 | Double_t np = 50.0; | |
313 | Double_t sc = 100.; | |
314 | Double_t sigma3 = fResolutionConstants[2]; | |
315 | Double_t xx; | |
316 | Double_t sum = 0.0; | |
317 | Double_t xlow,xupp; | |
318 | Double_t step; | |
319 | Double_t i; | |
320 | xlow = x - sc * sigma3 ; | |
321 | xupp = x + sc * sigma3 ; | |
322 | step = (xupp-xlow) / np; | |
323 | for(i=1.0; i<=np/2; i++) { | |
324 | xx = xlow + (i-.5) * step; | |
325 | sum += CsiMC(xx) * ResolutionFunc(xx-x); | |
326 | ||
327 | xx = xupp - (i-.5) * step; | |
328 | sum += CsiMC(xx) * ResolutionFunc(xx-x); | |
329 | } | |
330 | return (step * sum) ; | |
331 | } | |
332 | //_________________________________________________________________________________________________ | |
333 | Double_t AliBtoJPSItoEleCDFfitFCN::FunP(Double_t x) const | |
334 | // | |
335 | // Parameterisation of the Prompt part for the x distribution | |
336 | // | |
337 | { | |
338 | return ResolutionFunc(x); | |
339 | } | |
340 | //_________________________________________________________________________________________________ | |
341 | Double_t AliBtoJPSItoEleCDFfitFCN::CsiMC(Double_t x) const | |
342 | { | |
343 | // Distribution (template) of the x distribution for the x variable | |
344 | // for the J/psi coming from Beauty hadrons | |
345 | // | |
346 | Double_t returnvalue = 0.; | |
347 | returnvalue = fhCsiMC->GetBinContent(fhCsiMC->FindBin(x)); | |
348 | return returnvalue; | |
349 | } | |
350 | //_________________________________________________________________________________________________ | |
351 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFfuncBkgPart(Double_t x,Double_t m) const | |
352 | { | |
353 | // | |
354 | // Return the part of the likelihood function for the background hypothesis | |
355 | // | |
356 | return EvaluateCDFDecayTimeBkgDistr(x)*EvaluateCDFInvMassBkgDistr(m); | |
357 | } | |
358 | //_________________________________________________________________________________________________ | |
359 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFDecayTimeBkgDistr(Double_t x) const | |
360 | { | |
361 | // it returns the value of the probability to have a given x for the background | |
362 | // | |
363 | // | |
364 | Double_t ret = (1 - fParameters[0]*fParameters[0])*ResolutionFunc(x); | |
365 | ret += FunBkgPos(x); | |
366 | ret += FunBkgNeg(x); | |
367 | ret += FunBkgSym(x); | |
368 | return ret; | |
369 | } | |
370 | //_________________________________________________________________________________________________ | |
371 | Double_t AliBtoJPSItoEleCDFfitFCN::EvaluateCDFInvMassBkgDistr(Double_t m) const | |
372 | { | |
373 | // | |
374 | // it returns the value of the probability to have a given mass for the background | |
375 | // | |
376 | return 1/(fMassWndHigh-fMassWndLow)+fParameters[6]*(m-(fMassWndHigh+fMassWndLow)/2); | |
377 | } | |
378 | //_________________________________________________________________________________________________ | |
379 | Double_t AliBtoJPSItoEleCDFfitFCN::FunBkgPos(Double_t x) const | |
380 | { | |
381 | // | |
382 | // exponential with positive slopes for the background part (x) | |
383 | // | |
384 | Double_t np = 50.0; | |
385 | Double_t sc = 100.; | |
386 | Double_t sigma3 = fResolutionConstants[2]; | |
387 | Double_t xx; | |
388 | Double_t sum = 0.0; | |
389 | Double_t xlow,xupp; | |
390 | Double_t step; | |
391 | Double_t i; | |
392 | xlow = x - sc * sigma3 ; | |
393 | xupp = x + sc * sigma3 ; | |
394 | step = (xupp-xlow) / np; | |
395 | for(i=1.0; i<=np/2; i++) { | |
396 | xx = xlow + (i-.5) * step; | |
397 | if (xx > 0) sum += (fParameters[0]*TMath::Cos(fParameters[1]))*(fParameters[0]*TMath::Cos(fParameters[1]))*fParameters[3]*TMath::Exp(-1*xx*fParameters[3]) * ResolutionFunc(xx-x); | |
398 | ||
399 | xx = xupp - (i-.5) * step; | |
400 | if (xx > 0) sum += fParameters[0]*TMath::Cos(fParameters[1])*(fParameters[0]*TMath::Cos(fParameters[1]))*fParameters[3]*TMath::Exp(-1*xx*fParameters[3]) * ResolutionFunc(xx-x); | |
401 | } | |
402 | return (step * sum) ; | |
403 | } | |
404 | //_________________________________________________________________________________________________ | |
405 | Double_t AliBtoJPSItoEleCDFfitFCN::FunBkgNeg(Double_t x) const | |
406 | { | |
407 | // | |
408 | // exponential with negative slopes for the background part (x) | |
409 | // | |
410 | Double_t np = 50.0; | |
411 | Double_t sc = 100.; | |
412 | Double_t sigma3 = fResolutionConstants[2]; | |
413 | Double_t xx; | |
414 | Double_t sum = 0.0; | |
415 | Double_t xlow,xupp; | |
416 | Double_t step; | |
417 | Double_t i; | |
418 | xlow = x - sc * sigma3 ; | |
419 | xupp = x + sc * sigma3 ; | |
420 | step = (xupp-xlow) / np; | |
421 | for(i=1.0; i<=np/2; i++) { | |
422 | xx = xlow + (i-.5) * step; | |
423 | if (xx < 0) sum += (fParameters[0]*TMath::Sin(fParameters[1])*TMath::Sin(fParameters[2]))*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Sin(fParameters[2]))* | |
424 | fParameters[4]*TMath::Exp(xx*fParameters[4]) * ResolutionFunc(xx-x); | |
425 | xx = xupp - (i-.5) * step; | |
426 | if (xx < 0) sum += (fParameters[0]*TMath::Sin(fParameters[1])*TMath::Sin(fParameters[2]))*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Sin(fParameters[2]))* | |
427 | fParameters[4]*TMath::Exp(xx*fParameters[4]) * ResolutionFunc(xx-x); | |
428 | } | |
429 | return (step * sum) ; | |
430 | } | |
431 | //_________________________________________________________________________________________________ | |
432 | Double_t AliBtoJPSItoEleCDFfitFCN::FunBkgSym(Double_t x) const | |
433 | { | |
434 | // | |
435 | // exponential with both positive and negative slopes for the background part (x) | |
436 | // | |
437 | Double_t np = 50.0; | |
438 | Double_t sc = 100.; | |
439 | Double_t sigma3 = fResolutionConstants[2]; | |
440 | Double_t xx; | |
441 | Double_t sum1 = 0.0; | |
442 | Double_t sum2 = 0.0; | |
443 | Double_t xlow,xupp; | |
444 | Double_t step; | |
445 | Double_t i; | |
446 | xlow = x - sc * sigma3 ; | |
447 | xupp = x + sc * sigma3 ; | |
448 | step = (xupp-xlow) / np; | |
449 | for(i=1.0; i<=np/2; i++) { | |
450 | xx = xlow + (i-.5) * step; | |
451 | if (xx > 0) sum1 += 0.5*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))* | |
452 | fParameters[5]*TMath::Exp(-1*xx*fParameters[5]) * ResolutionFunc(xx-x); | |
453 | ||
454 | xx = xupp - (i-.5) * step; | |
455 | if (xx > 0) sum1 += 0.5*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))* | |
456 | fParameters[5]*TMath::Exp(-1*xx*fParameters[5]) * ResolutionFunc(xx-x); | |
457 | } | |
458 | for(i=1.0; i<=np/2; i++) { | |
459 | xx = xlow + (i-.5) * step; | |
460 | if (xx < 0) sum2 += 0.5*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))* | |
461 | fParameters[5]*TMath::Exp(xx*fParameters[5]) * ResolutionFunc(xx-x); | |
462 | ||
463 | xx = xupp - (i-.5) * step; | |
464 | if (xx < 0) sum2 += 0.5*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))*(fParameters[0]*TMath::Sin(fParameters[1])*TMath::Cos(fParameters[2]))* | |
465 | fParameters[5]*TMath::Exp(xx*fParameters[5]) * ResolutionFunc(xx-x); | |
466 | } | |
467 | return step*(sum1 + sum2) ; | |
468 | } | |
469 | //_________________________________________________________________________________________________ | |
470 | Double_t AliBtoJPSItoEleCDFfitFCN::ResolutionFunc(Double_t x) const | |
471 | { | |
472 | // | |
473 | //parametrization with 2 gaus + 1 exponential + 1 constant | |
474 | // | |
475 | Double_t arg=0; | |
476 | arg=x/fResolutionConstants[1]; | |
477 | Double_t ret=TMath::Exp(-0.5*arg*arg); | |
478 | arg=x/fResolutionConstants[2]; | |
479 | ret+=fResolutionConstants[3]*TMath::Exp(-0.5*arg*arg); | |
480 | arg=x/fResolutionConstants[4]; | |
481 | if(x > 0) { ret+=fResolutionConstants[5]*TMath::Exp(-arg); } | |
482 | if(x <= 0) { ret+=fResolutionConstants[5]*TMath::Exp(arg); } | |
483 | return fResolutionConstants[0]*(ret + fResolutionConstants[6]); | |
484 | } |