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7984e5f7 | 1 | // |
2 | // Utilities used in the forward multiplcity analysis | |
3 | // | |
4 | // | |
7e4038b5 | 5 | #include "AliForwardUtil.h" |
9d99b0dd | 6 | #include <AliAnalysisManager.h> |
7 | #include "AliAODForwardMult.h" | |
8 | #include <AliLog.h> | |
9 | #include <AliInputEventHandler.h> | |
10 | #include <AliESDEvent.h> | |
11 | #include <AliPhysicsSelection.h> | |
12 | #include <AliTriggerAnalysis.h> | |
13 | #include <AliMultiplicity.h> | |
7e4038b5 | 14 | #include <TH2D.h> |
9d99b0dd | 15 | #include <TH1I.h> |
7f759bb7 | 16 | #include <TF1.h> |
17 | #include <TFitResult.h> | |
7e4038b5 | 18 | #include <TMath.h> |
7f759bb7 | 19 | #include <TError.h> |
20 | ||
0bd4b00f | 21 | //==================================================================== |
22 | UShort_t | |
23 | AliForwardUtil::ParseCollisionSystem(const char* sys) | |
24 | { | |
7984e5f7 | 25 | // |
26 | // Parse a collision system spec given in a string. Known values are | |
27 | // | |
28 | // - "pp", "p-p" which returns kPP | |
29 | // - "PbPb", "Pb-Pb", "A-A", which returns kPbPb | |
30 | // - Everything else gives kUnknown | |
31 | // | |
32 | // Parameters: | |
33 | // sys Collision system spec | |
34 | // | |
35 | // Return: | |
36 | // Collision system id | |
37 | // | |
0bd4b00f | 38 | TString s(sys); |
39 | s.ToLower(); | |
40 | if (s.Contains("p-p") || s.Contains("pp")) return AliForwardUtil::kPP; | |
41 | if (s.Contains("pb-pb") || s.Contains("pbpb")) return AliForwardUtil::kPbPb; | |
42 | if (s.Contains("a-a") || s.Contains("aa")) return AliForwardUtil::kPbPb; | |
43 | return AliForwardUtil::kUnknown; | |
44 | } | |
45 | //____________________________________________________________________ | |
46 | const char* | |
47 | AliForwardUtil::CollisionSystemString(UShort_t sys) | |
48 | { | |
7984e5f7 | 49 | // |
50 | // Get a string representation of the collision system | |
51 | // | |
52 | // Parameters: | |
53 | // sys Collision system | |
54 | // - kPP -> "pp" | |
55 | // - kPbPb -> "PbPb" | |
56 | // - anything else gives "unknown" | |
57 | // | |
58 | // Return: | |
59 | // String representation of the collision system | |
60 | // | |
0bd4b00f | 61 | switch (sys) { |
62 | case AliForwardUtil::kPP: return "pp"; | |
63 | case AliForwardUtil::kPbPb: return "PbPb"; | |
64 | } | |
65 | return "unknown"; | |
66 | } | |
67 | //____________________________________________________________________ | |
68 | UShort_t | |
69 | AliForwardUtil::ParseCenterOfMassEnergy(UShort_t sys, Float_t v) | |
70 | { | |
7984e5f7 | 71 | // |
72 | // Parse the center of mass energy given as a float and return known | |
73 | // values as a unsigned integer | |
74 | // | |
75 | // Parameters: | |
76 | // sys Collision system (needed for AA) | |
77 | // cms Center of mass energy * total charge | |
78 | // | |
79 | // Return: | |
80 | // Center of mass energy per nucleon | |
81 | // | |
0bd4b00f | 82 | Float_t energy = v; |
83 | if (sys != AliForwardUtil::kPP) energy = energy / 208 * 82; | |
84 | if (TMath::Abs(energy - 900.) < 10) return 900; | |
85 | if (TMath::Abs(energy - 2400.) < 10) return 2400; | |
86 | if (TMath::Abs(energy - 2750.) < 10) return 2750; | |
87 | if (TMath::Abs(energy - 5500.) < 40) return 5500; | |
88 | if (TMath::Abs(energy - 7000.) < 10) return 7000; | |
89 | if (TMath::Abs(energy - 10000.) < 10) return 10000; | |
90 | if (TMath::Abs(energy - 14000.) < 10) return 14000; | |
91 | return 0; | |
92 | } | |
93 | //____________________________________________________________________ | |
94 | const char* | |
95 | AliForwardUtil::CenterOfMassEnergyString(UShort_t cms) | |
96 | { | |
7984e5f7 | 97 | // |
98 | // Get a string representation of the center of mass energy per nuclean | |
99 | // | |
100 | // Parameters: | |
101 | // cms Center of mass energy per nucleon | |
102 | // | |
103 | // Return: | |
104 | // String representation of the center of mass energy per nuclean | |
105 | // | |
0bd4b00f | 106 | return Form("%04dGeV", cms); |
107 | } | |
108 | //____________________________________________________________________ | |
109 | Short_t | |
110 | AliForwardUtil::ParseMagneticField(Float_t v) | |
111 | { | |
7984e5f7 | 112 | // |
113 | // Parse the magnetic field (in kG) as given by a floating point number | |
114 | // | |
115 | // Parameters: | |
116 | // field Magnetic field in kG | |
117 | // | |
118 | // Return: | |
119 | // Short integer value of magnetic field in kG | |
120 | // | |
0bd4b00f | 121 | if (TMath::Abs(v - 5.) < 1 ) return +5; |
122 | if (TMath::Abs(v + 5.) < 1 ) return -5; | |
123 | if (TMath::Abs(v) < 1) return 0; | |
124 | return 999; | |
125 | } | |
126 | //____________________________________________________________________ | |
127 | const char* | |
128 | AliForwardUtil::MagneticFieldString(Short_t f) | |
129 | { | |
7984e5f7 | 130 | // |
131 | // Get a string representation of the magnetic field | |
132 | // | |
133 | // Parameters: | |
134 | // field Magnetic field in kG | |
135 | // | |
136 | // Return: | |
137 | // String representation of the magnetic field | |
138 | // | |
0bd4b00f | 139 | return Form("%01dkG", f); |
140 | } | |
141 | ||
142 | ||
7f759bb7 | 143 | //==================================================================== |
144 | Int_t AliForwardUtil::fgConvolutionSteps = 100; | |
145 | Double_t AliForwardUtil::fgConvolutionNSigma = 5; | |
146 | namespace { | |
7984e5f7 | 147 | // |
148 | // The shift of the most probable value for the ROOT function TMath::Landau | |
149 | // | |
7f759bb7 | 150 | const Double_t mpshift = -0.22278298; |
7984e5f7 | 151 | // |
152 | // Integration normalisation | |
153 | // | |
7f759bb7 | 154 | const Double_t invSq2pi = 1. / TMath::Sqrt(2*TMath::Pi()); |
155 | ||
7984e5f7 | 156 | // |
157 | // Utility function to use in TF1 defintition | |
158 | // | |
7f759bb7 | 159 | Double_t landauGaus1(Double_t* xp, Double_t* pp) |
160 | { | |
161 | Double_t x = xp[0]; | |
c389303e | 162 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; |
163 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
164 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
165 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
166 | Double_t sigma_n = pp[AliForwardUtil::ELossFitter::kSigmaN]; | |
7f759bb7 | 167 | |
168 | return constant * AliForwardUtil::LandauGaus(x, delta, xi, sigma, sigma_n); | |
169 | } | |
170 | ||
7984e5f7 | 171 | // |
172 | // Utility function to use in TF1 defintition | |
173 | // | |
7f759bb7 | 174 | Double_t landauGausN(Double_t* xp, Double_t* pp) |
175 | { | |
176 | Double_t x = xp[0]; | |
c389303e | 177 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; |
178 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
179 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
180 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
181 | Double_t sigma_n = pp[AliForwardUtil::ELossFitter::kSigmaN]; | |
182 | Int_t n = Int_t(pp[AliForwardUtil::ELossFitter::kN]); | |
183 | Double_t* a = &(pp[AliForwardUtil::ELossFitter::kA]); | |
7f759bb7 | 184 | |
185 | return constant * AliForwardUtil::NLandauGaus(x, delta, xi, sigma, sigma_n, | |
186 | n, a); | |
187 | } | |
7984e5f7 | 188 | // |
189 | // Utility function to use in TF1 defintition | |
190 | // | |
0bd4b00f | 191 | Double_t landauGausI(Double_t* xp, Double_t* pp) |
192 | { | |
193 | Double_t x = xp[0]; | |
194 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; | |
195 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
196 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
197 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
198 | Double_t sigma_n = pp[AliForwardUtil::ELossFitter::kSigmaN]; | |
199 | Int_t i = Int_t(pp[AliForwardUtil::ELossFitter::kN]); | |
200 | ||
201 | return constant * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigma_n,i); | |
202 | } | |
7f759bb7 | 203 | |
204 | ||
205 | } | |
206 | //____________________________________________________________________ | |
207 | Double_t | |
208 | AliForwardUtil::Landau(Double_t x, Double_t delta, Double_t xi) | |
209 | { | |
7984e5f7 | 210 | // |
211 | // Calculate the shifted Landau | |
212 | // @f[ | |
213 | // f'_{L}(x;\Delta,\xi) = f_L(x;\Delta+0.22278298\xi) | |
214 | // @f] | |
215 | // | |
216 | // where @f$ f_{L}@f$ is the ROOT implementation of the Landau | |
217 | // distribution (known to have @f$ \Delta_{p}=-0.22278298@f$ for | |
218 | // @f$\Delta=0,\xi=1@f$. | |
219 | // | |
220 | // Parameters: | |
221 | // x Where to evaluate @f$ f'_{L}@f$ | |
222 | // delta Most probable value | |
223 | // xi The 'width' of the distribution | |
224 | // | |
225 | // Return: | |
226 | // @f$ f'_{L}(x;\Delta,\xi) @f$ | |
227 | // | |
7f759bb7 | 228 | return TMath::Landau(x, delta - xi * mpshift, xi); |
229 | } | |
230 | //____________________________________________________________________ | |
231 | Double_t | |
232 | AliForwardUtil::LandauGaus(Double_t x, Double_t delta, Double_t xi, | |
233 | Double_t sigma, Double_t sigma_n) | |
234 | { | |
7984e5f7 | 235 | // |
236 | // Calculate the value of a Landau convolved with a Gaussian | |
237 | // | |
238 | // @f[ | |
239 | // f(x;\Delta,\xi,\sigma') = \frac{1}{\sigma' \sqrt{2 \pi}} | |
240 | // \int_{-\infty}^{+\infty} d\Delta' f'_{L}(x;\Delta',\xi) | |
241 | // \exp{-\frac{(\Delta-\Delta')^2}{2\sigma'^2}} | |
242 | // @f] | |
243 | // | |
244 | // where @f$ f'_{L}@f$ is the Landau distribution, @f$ \Delta@f$ the | |
245 | // energy loss, @f$ \xi@f$ the width of the Landau, and | |
246 | // @f$ \sigma'^2=\sigma^2-\sigma_n^2 @f$. Here, @f$\sigma@f$ is the | |
247 | // variance of the Gaussian, and @f$\sigma_n@f$ is a parameter modelling | |
248 | // noise in the detector. | |
249 | // | |
250 | // Note that this function uses the constants fgConvolutionSteps and | |
251 | // fgConvolutionNSigma | |
252 | // | |
253 | // References: | |
254 | // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a> | |
255 | // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a> | |
256 | // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a> | |
257 | // | |
258 | // Parameters: | |
259 | // x where to evaluate @f$ f@f$ | |
260 | // delta @f$ \Delta@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$ | |
261 | // xi @f$ \xi@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$ | |
262 | // sigma @f$ \sigma@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$ | |
263 | // sigma_n @f$ \sigma_n@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$ | |
264 | // | |
265 | // Return: | |
266 | // @f$ f@f$ evaluated at @f$ x@f$. | |
267 | // | |
7f759bb7 | 268 | Double_t deltap = delta - xi * mpshift; |
269 | Double_t sigma2 = sigma_n*sigma_n + sigma*sigma; | |
c389303e | 270 | Double_t sigma1 = sigma_n == 0 ? sigma : TMath::Sqrt(sigma2); |
7f759bb7 | 271 | Double_t xlow = x - fgConvolutionNSigma * sigma1; |
c389303e | 272 | Double_t xhigh = x + fgConvolutionNSigma * sigma1; |
7f759bb7 | 273 | Double_t step = (xhigh - xlow) / fgConvolutionSteps; |
274 | Double_t sum = 0; | |
275 | ||
276 | for (Int_t i = 0; i <= fgConvolutionSteps/2; i++) { | |
c389303e | 277 | Double_t x1 = xlow + (i - .5) * step; |
278 | Double_t x2 = xhigh - (i - .5) * step; | |
7f759bb7 | 279 | |
280 | sum += TMath::Landau(x1, deltap, xi, kTRUE) * TMath::Gaus(x, x1, sigma1); | |
281 | sum += TMath::Landau(x2, deltap, xi, kTRUE) * TMath::Gaus(x, x2, sigma1); | |
282 | } | |
283 | return step * sum * invSq2pi / sigma1; | |
284 | } | |
285 | ||
0bd4b00f | 286 | //____________________________________________________________________ |
287 | Double_t | |
288 | AliForwardUtil::ILandauGaus(Double_t x, Double_t delta, Double_t xi, | |
289 | Double_t sigma, Double_t sigma_n, Int_t i) | |
290 | { | |
7984e5f7 | 291 | // |
292 | // Evaluate | |
293 | // @f[ | |
294 | // f_i(x;\Delta,\xi,\sigma') = f(x;\Delta_i,\xi_i,\sigma_i') | |
295 | // @f] | |
296 | // corresponding to @f$ i@f$ particles i.e., with the substitutions | |
297 | // @f{eqnarray*}{ | |
298 | // \Delta \rightarrow \Delta_i &=& i(\Delta + \xi\log(i)) | |
299 | // \xi \rightarrow \xi_i &=& i \xi | |
300 | // \sigma \rightarrow \sigma_i &=& \sqrt{i}\sigma | |
301 | // \sigma'^2 \rightarrow \sigma_i'^2 &=& \sigma_n^2 + \sigma_i^2 | |
302 | // @f} | |
303 | // | |
304 | // Parameters: | |
305 | // x Where to evaluate | |
306 | // delta @f$ \Delta@f$ | |
307 | // xi @f$ \xi@f$ | |
308 | // sigma @f$ \sigma@f$ | |
309 | // sigma_n @f$ \sigma_n@f$ | |
310 | // i @f$ i @f$ | |
311 | // | |
312 | // Return: | |
313 | // @f$ f_i @f$ evaluated | |
314 | // | |
0bd4b00f | 315 | Double_t delta_i = (i == 1 ? delta : i * (delta + xi * TMath::Log(i))); |
316 | Double_t xi_i = i * xi; | |
317 | Double_t sigma_i = (i == 1 ? sigma : TMath::Sqrt(Double_t(i))*sigma); | |
318 | if (sigma_i < 1e-10) { | |
319 | // Fall back to landau | |
320 | return AliForwardUtil::Landau(x, delta_i, xi_i); | |
321 | } | |
322 | return AliForwardUtil::LandauGaus(x, delta_i, xi_i, sigma_i, sigma_n); | |
323 | } | |
324 | ||
325 | //____________________________________________________________________ | |
326 | Double_t | |
327 | AliForwardUtil::IdLandauGausdPar(Double_t x, | |
328 | UShort_t par, Double_t dPar, | |
329 | Double_t delta, Double_t xi, | |
330 | Double_t sigma, Double_t sigma_n, | |
331 | Int_t i) | |
332 | { | |
7984e5f7 | 333 | // |
334 | // Numerically evaluate | |
335 | // @f[ | |
336 | // \left.\frac{\partial f_i}{\partial p_i}\right|_{x} | |
337 | // @f] | |
338 | // where @f$ p_i@f$ is the @f$ i^{\mbox{th}}@f$ parameter. The mapping | |
339 | // of the parameters is given by | |
340 | // | |
341 | // - 0: @f$\Delta@f$ | |
342 | // - 1: @f$\xi@f$ | |
343 | // - 2: @f$\sigma@f$ | |
344 | // - 3: @f$\sigma_n@f$ | |
345 | // | |
346 | // This is the partial derivative with respect to the parameter of | |
347 | // the response function corresponding to @f$ i@f$ particles i.e., | |
348 | // with the substitutions | |
349 | // @f[ | |
350 | // \Delta \rightarrow \Delta_i = i(\Delta + \xi\log(i)) | |
351 | // \xi \rightarrow \xi_i = i \xi | |
352 | // \sigma \rightarrow \sigma_i = \sqrt{i}\sigma | |
353 | // \sigma'^2 \rightarrow \sigma_i'^2 = \sigma_n^2 + \sigma_i^2 | |
354 | // @f] | |
355 | // | |
356 | // Parameters: | |
357 | // x Where to evaluate | |
358 | // ipar Parameter number | |
359 | // dp @f$ \epsilon\delta p_i@f$ for some value of @f$\epsilon@f$ | |
360 | // delta @f$ \Delta@f$ | |
361 | // xi @f$ \xi@f$ | |
362 | // sigma @f$ \sigma@f$ | |
363 | // sigma_n @f$ \sigma_n@f$ | |
364 | // i @f$ i@f$ | |
365 | // | |
366 | // Return: | |
367 | // @f$ f_i@f$ evaluated | |
368 | // | |
0bd4b00f | 369 | if (dPar == 0) return 0; |
370 | Double_t dp = dPar; | |
371 | Double_t d2 = dPar / 2; | |
372 | Double_t delta_i = i * (delta + xi * TMath::Log(i)); | |
373 | Double_t xi_i = i * xi; | |
374 | Double_t si = TMath::Sqrt(Double_t(i)); | |
375 | Double_t sigma_i = si*sigma; | |
376 | Double_t y1 = 0; | |
377 | Double_t y2 = 0; | |
378 | Double_t y3 = 0; | |
379 | Double_t y4 = 0; | |
380 | switch (par) { | |
381 | case 0: | |
382 | y1 = ILandauGaus(x, delta_i+i*dp, xi_i, sigma_i, sigma_n, i); | |
383 | y2 = ILandauGaus(x, delta_i+i*d2, xi_i, sigma_i, sigma_n, i); | |
384 | y3 = ILandauGaus(x, delta_i-i*d2, xi_i, sigma_i, sigma_n, i); | |
385 | y4 = ILandauGaus(x, delta_i-i*dp, xi_i, sigma_i, sigma_n, i); | |
386 | break; | |
387 | case 1: | |
388 | y1 = ILandauGaus(x, delta_i, xi_i+i*dp, sigma_i, sigma_n, i); | |
389 | y2 = ILandauGaus(x, delta_i, xi_i+i*d2, sigma_i, sigma_n, i); | |
390 | y3 = ILandauGaus(x, delta_i, xi_i-i*d2, sigma_i, sigma_n, i); | |
391 | y4 = ILandauGaus(x, delta_i, xi_i-i*dp, sigma_i, sigma_n, i); | |
392 | break; | |
393 | case 2: | |
394 | y1 = ILandauGaus(x, delta_i, xi_i, sigma_i+si*dp, sigma_n, i); | |
395 | y2 = ILandauGaus(x, delta_i, xi_i, sigma_i+si*d2, sigma_n, i); | |
396 | y3 = ILandauGaus(x, delta_i, xi_i, sigma_i-si*d2, sigma_n, i); | |
397 | y4 = ILandauGaus(x, delta_i, xi_i, sigma_i-si*dp, sigma_n, i); | |
398 | break; | |
399 | case 3: | |
400 | y1 = ILandauGaus(x, delta_i, xi_i, sigma_i, sigma_n+dp, i); | |
401 | y2 = ILandauGaus(x, delta_i, xi_i, sigma_i, sigma_n+d2, i); | |
402 | y3 = ILandauGaus(x, delta_i, xi_i, sigma_i, sigma_n-d2, i); | |
403 | y4 = ILandauGaus(x, delta_i, xi_i, sigma_i, sigma_n-dp, i); | |
404 | break; | |
405 | default: | |
406 | return 0; | |
407 | } | |
408 | ||
409 | Double_t d0 = y1 - y4; | |
410 | Double_t d1 = 2 * (y2 - y3); | |
411 | ||
412 | Double_t g = 1/(2*dp) * (4*d1 - d0) / 3; | |
413 | ||
414 | return g; | |
415 | } | |
416 | ||
7f759bb7 | 417 | //____________________________________________________________________ |
418 | Double_t | |
419 | AliForwardUtil::NLandauGaus(Double_t x, Double_t delta, Double_t xi, | |
420 | Double_t sigma, Double_t sigma_n, Int_t n, | |
421 | Double_t* a) | |
422 | { | |
7984e5f7 | 423 | // |
424 | // Evaluate | |
425 | // @f[ | |
426 | // f_N(x;\Delta,\xi,\sigma') = \sum_{i=1}^N a_i f_i(x;\Delta,\xi,\sigma'a) | |
427 | // @f] | |
428 | // | |
429 | // where @f$ f(x;\Delta,\xi,\sigma')@f$ is the convolution of a | |
430 | // Landau with a Gaussian (see LandauGaus). Note that | |
431 | // @f$ a_1 = 1@f$, @f$\Delta_i = i(\Delta_1 + \xi\log(i))@f$, | |
432 | // @f$\xi_i=i\xi_1@f$, and @f$\sigma_i'^2 = \sigma_n^2 + i\sigma_1^2@f$. | |
433 | // | |
434 | // References: | |
435 | // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a> | |
436 | // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a> | |
437 | // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a> | |
438 | // | |
439 | // Parameters: | |
440 | // x Where to evaluate @f$ f_N@f$ | |
441 | // delta @f$ \Delta_1@f$ | |
442 | // xi @f$ \xi_1@f$ | |
443 | // sigma @f$ \sigma_1@f$ | |
444 | // sigma_n @f$ \sigma_n@f$ | |
445 | // n @f$ N@f$ in the sum above. | |
446 | // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for | |
447 | // @f$ i > 1@f$ | |
448 | // | |
449 | // Return: | |
450 | // @f$ f_N(x;\Delta,\xi,\sigma')@f$ | |
451 | // | |
0bd4b00f | 452 | Double_t result = ILandauGaus(x, delta, xi, sigma, sigma_n, 1); |
453 | for (Int_t i = 2; i <= n; i++) | |
454 | result += a[i-2] * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigma_n,i); | |
7f759bb7 | 455 | return result; |
456 | } | |
0bd4b00f | 457 | namespace { |
458 | const Int_t kColors[] = { kRed+1, | |
459 | kPink+3, | |
460 | kMagenta+2, | |
461 | kViolet+2, | |
462 | kBlue+1, | |
463 | kAzure+3, | |
464 | kCyan+1, | |
465 | kTeal+2, | |
466 | kGreen+2, | |
467 | kSpring+3, | |
468 | kYellow+2, | |
469 | kOrange+2 }; | |
470 | } | |
471 | ||
472 | //____________________________________________________________________ | |
473 | TF1* | |
474 | AliForwardUtil::MakeNLandauGaus(Double_t c, | |
475 | Double_t delta, Double_t xi, | |
476 | Double_t sigma, Double_t sigma_n, Int_t n, | |
477 | Double_t* a, | |
478 | Double_t xmin, Double_t xmax) | |
479 | { | |
7984e5f7 | 480 | // |
481 | // Generate a TF1 object of @f$ f_N@f$ | |
482 | // | |
483 | // Parameters: | |
484 | // c Constant | |
485 | // delta @f$ \Delta@f$ | |
486 | // xi @f$ \xi_1@f$ | |
487 | // sigma @f$ \sigma_1@f$ | |
488 | // sigma_n @f$ \sigma_n@f$ | |
489 | // n @f$ N@f$ - how many particles to sum to | |
490 | // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for | |
491 | // @f$ i > 1@f$ | |
492 | // xmin Least value of range | |
493 | // xmax Largest value of range | |
494 | // | |
495 | // Return: | |
496 | // Newly allocated TF1 object | |
497 | // | |
0bd4b00f | 498 | Int_t npar = AliForwardUtil::ELossFitter::kN+n; |
499 | TF1* landaun = new TF1(Form("nlandau%d", n), &landauGausN,xmin,xmax,npar); | |
500 | // landaun->SetLineStyle(((n-2) % 10)+2); // start at dashed | |
501 | landaun->SetLineColor(kColors[((n-1) % 12)]); // start at red | |
502 | landaun->SetLineWidth(2); | |
503 | landaun->SetNpx(500); | |
504 | landaun->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "N"); | |
505 | ||
506 | // Set the initial parameters from the seed fit | |
507 | landaun->SetParameter(AliForwardUtil::ELossFitter::kC, c); | |
508 | landaun->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta); | |
509 | landaun->SetParameter(AliForwardUtil::ELossFitter::kXi, xi); | |
510 | landaun->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma); | |
511 | landaun->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigma_n); | |
512 | landaun->FixParameter(AliForwardUtil::ELossFitter::kN, n); | |
513 | ||
514 | // Set the range and name of the scale parameters | |
515 | for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit | |
516 | landaun->SetParameter(AliForwardUtil::ELossFitter::kA+i-2, a[i-2]); | |
517 | landaun->SetParName(AliForwardUtil::ELossFitter::kA+i-2, Form("a_{%d}", i)); | |
518 | } | |
519 | return landaun; | |
520 | } | |
521 | //____________________________________________________________________ | |
522 | TF1* | |
523 | AliForwardUtil::MakeILandauGaus(Double_t c, | |
524 | Double_t delta, Double_t xi, | |
525 | Double_t sigma, Double_t sigma_n, Int_t i, | |
526 | Double_t xmin, Double_t xmax) | |
527 | { | |
7984e5f7 | 528 | // |
529 | // Generate a TF1 object of @f$ f_I@f$ | |
530 | // | |
531 | // Parameters: | |
532 | // c Constant | |
533 | // delta @f$ \Delta@f$ | |
534 | // xi @f$ \xi_1@f$ | |
535 | // sigma @f$ \sigma_1@f$ | |
536 | // sigma_n @f$ \sigma_n@f$ | |
537 | // i @f$ i@f$ - the number of particles | |
538 | // xmin Least value of range | |
539 | // xmax Largest value of range | |
540 | // | |
541 | // Return: | |
542 | // Newly allocated TF1 object | |
543 | // | |
0bd4b00f | 544 | Int_t npar = AliForwardUtil::ELossFitter::kN+1; |
545 | TF1* landaui = new TF1(Form("ilandau%d", i), &landauGausI,xmin,xmax,npar); | |
546 | // landaui->SetLineStyle(((i-2) % 10)+2); // start at dashed | |
547 | landaui->SetLineColor(kColors[((i-1) % 12)]); // start at red | |
548 | landaui->SetLineWidth(1); | |
549 | landaui->SetNpx(500); | |
550 | landaui->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "i"); | |
551 | ||
552 | // Set the initial parameters from the seed fit | |
553 | landaui->SetParameter(AliForwardUtil::ELossFitter::kC, c); | |
554 | landaui->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta); | |
555 | landaui->SetParameter(AliForwardUtil::ELossFitter::kXi, xi); | |
556 | landaui->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma); | |
557 | landaui->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigma_n); | |
558 | landaui->FixParameter(AliForwardUtil::ELossFitter::kN, i); | |
559 | ||
560 | return landaui; | |
561 | } | |
7f759bb7 | 562 | |
563 | //==================================================================== | |
564 | AliForwardUtil::ELossFitter::ELossFitter(Double_t lowCut, | |
565 | Double_t maxRange, | |
566 | UShort_t minusBins) | |
567 | : fLowCut(lowCut), fMaxRange(maxRange), fMinusBins(minusBins), | |
568 | fFitResults(0), fFunctions(0) | |
569 | { | |
7984e5f7 | 570 | // |
571 | // Constructor | |
572 | // | |
573 | // Parameters: | |
574 | // lowCut Lower cut of spectrum - data below this cuts is ignored | |
575 | // maxRange Maximum range to fit to | |
576 | // minusBins The number of bins below maximum to use | |
577 | // | |
7f759bb7 | 578 | fFitResults.SetOwner(); |
579 | fFunctions.SetOwner(); | |
580 | } | |
581 | //____________________________________________________________________ | |
582 | AliForwardUtil::ELossFitter::~ELossFitter() | |
583 | { | |
7984e5f7 | 584 | // |
585 | // Destructor | |
586 | // | |
587 | // | |
7f759bb7 | 588 | fFitResults.Delete(); |
589 | fFunctions.Delete(); | |
590 | } | |
591 | //____________________________________________________________________ | |
592 | void | |
593 | AliForwardUtil::ELossFitter::Clear() | |
594 | { | |
7984e5f7 | 595 | // |
596 | // Clear internal arrays | |
597 | // | |
598 | // | |
7f759bb7 | 599 | fFitResults.Clear(); |
600 | fFunctions.Clear(); | |
601 | } | |
602 | //____________________________________________________________________ | |
603 | TF1* | |
604 | AliForwardUtil::ELossFitter::Fit1Particle(TH1* dist, Double_t sigman) | |
605 | { | |
7984e5f7 | 606 | // |
607 | // Fit a 1-particle signal to the passed energy loss distribution | |
608 | // | |
609 | // Note that this function clears the internal arrays first | |
610 | // | |
611 | // Parameters: | |
612 | // dist Data to fit the function to | |
613 | // sigman If larger than zero, the initial guess of the | |
614 | // detector induced noise. If zero or less, then this | |
615 | // parameter is ignored in the fit (fixed at 0) | |
616 | // | |
617 | // Return: | |
618 | // The function fitted to the data | |
619 | // | |
620 | ||
7f759bb7 | 621 | // Clear the cache |
622 | Clear(); | |
623 | ||
624 | // Find the fit range | |
625 | dist->GetXaxis()->SetRangeUser(fLowCut, fMaxRange); | |
626 | ||
7f759bb7 | 627 | // Get the bin with maximum |
628 | Int_t maxBin = dist->GetMaximumBin(); | |
629 | Double_t maxE = dist->GetBinLowEdge(maxBin); | |
630 | ||
631 | // Get the low edge | |
632 | dist->GetXaxis()->SetRangeUser(fLowCut, maxE); | |
633 | Int_t minBin = maxBin - fMinusBins; // dist->GetMinimumBin(); | |
634 | Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut); | |
635 | Double_t maxEE = dist->GetBinCenter(maxBin+2*fMinusBins); | |
636 | ||
637 | // Restore the range | |
638 | dist->GetXaxis()->SetRangeUser(0, fMaxRange); | |
639 | ||
640 | // Define the function to fit | |
0bd4b00f | 641 | TF1* landau1 = new TF1("landau1", landauGaus1, minE,maxEE,kSigmaN+1); |
7f759bb7 | 642 | |
643 | // Set initial guesses, parameter names, and limits | |
c389303e | 644 | landau1->SetParameters(1,0.5,0.07,0.1,sigman); |
7f759bb7 | 645 | landau1->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}"); |
c389303e | 646 | landau1->SetNpx(500); |
647 | landau1->SetParLimits(kDelta, minE, fMaxRange); | |
648 | landau1->SetParLimits(kXi, 0.00, fMaxRange); | |
649 | landau1->SetParLimits(kSigma, 0.01, 0.1); | |
650 | if (sigman <= 0) landau1->FixParameter(kSigmaN, 0); | |
651 | else landau1->SetParLimits(kSigmaN, 0, fMaxRange); | |
7f759bb7 | 652 | |
653 | // Do the fit, getting the result object | |
654 | TFitResultPtr r = dist->Fit(landau1, "RNQS", "", minE, maxEE); | |
c389303e | 655 | landau1->SetRange(minE, fMaxRange); |
7f759bb7 | 656 | fFitResults.AddAtAndExpand(new TFitResult(*r), 0); |
657 | fFunctions.AddAtAndExpand(landau1, 0); | |
658 | ||
659 | return landau1; | |
660 | } | |
661 | //____________________________________________________________________ | |
662 | TF1* | |
663 | AliForwardUtil::ELossFitter::FitNParticle(TH1* dist, UShort_t n, | |
664 | Double_t sigman) | |
665 | { | |
7984e5f7 | 666 | // |
667 | // Fit a N-particle signal to the passed energy loss distribution | |
668 | // | |
669 | // If there's no 1-particle fit present, it does that first | |
670 | // | |
671 | // Parameters: | |
672 | // dist Data to fit the function to | |
673 | // n Number of particle signals to fit | |
674 | // sigman If larger than zero, the initial guess of the | |
675 | // detector induced noise. If zero or less, then this | |
676 | // parameter is ignored in the fit (fixed at 0) | |
677 | // | |
678 | // Return: | |
679 | // The function fitted to the data | |
680 | // | |
681 | ||
7f759bb7 | 682 | // Get the seed fit result |
683 | TFitResult* r = static_cast<TFitResult*>(fFitResults.At(0)); | |
684 | TF1* f = static_cast<TF1*>(fFunctions.At(0)); | |
685 | if (!r || !f) { | |
686 | f = Fit1Particle(dist, sigman); | |
687 | r = static_cast<TFitResult*>(fFitResults.At(0)); | |
688 | if (!r || !f) { | |
689 | ::Warning("FitNLandau", "No first shot at landau fit"); | |
690 | return 0; | |
691 | } | |
692 | } | |
693 | ||
694 | // Get some parameters from seed fit | |
c389303e | 695 | Double_t delta1 = r->Parameter(kDelta); |
696 | Double_t xi1 = r->Parameter(kXi); | |
7f759bb7 | 697 | Double_t maxEi = n * (delta1 + xi1 * TMath::Log(n)) + 2 * n * xi1; |
698 | Double_t minE = f->GetXmin(); | |
699 | ||
0bd4b00f | 700 | // Array of weights |
701 | TArrayD a(n-1); | |
702 | for (UShort_t i = 2; i <= n; i++) | |
703 | a.fArray[i-2] = (n == 2 ? 0.05 : 0.000001); | |
7f759bb7 | 704 | // Make the fit function |
0bd4b00f | 705 | TF1* landaun = MakeNLandauGaus(r->Parameter(kC), |
706 | r->Parameter(kDelta), | |
707 | r->Parameter(kXi), | |
708 | r->Parameter(kSigma), | |
709 | r->Parameter(kSigmaN), | |
710 | n,a.fArray,minE,maxEi); | |
c389303e | 711 | landaun->SetParLimits(kDelta, minE, fMaxRange); // Delta |
712 | landaun->SetParLimits(kXi, 0.00, fMaxRange); // xi | |
713 | landaun->SetParLimits(kSigma, 0.01, 1); // sigma | |
714 | // Check if we're using the noise sigma | |
715 | if (sigman <= 0) landaun->FixParameter(kSigmaN, 0); | |
716 | else landaun->SetParLimits(kSigmaN, 0, fMaxRange); | |
7f759bb7 | 717 | |
718 | // Set the range and name of the scale parameters | |
719 | for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit | |
c389303e | 720 | landaun->SetParLimits(kA+i-2, 0,1); |
7f759bb7 | 721 | } |
722 | ||
723 | // Do the fit | |
724 | TFitResultPtr tr = dist->Fit(landaun, "RSQN", "", minE, maxEi); | |
725 | ||
c389303e | 726 | landaun->SetRange(minE, fMaxRange); |
7f759bb7 | 727 | fFitResults.AddAtAndExpand(new TFitResult(*tr), n-1); |
728 | fFunctions.AddAtAndExpand(landaun, n-1); | |
729 | ||
730 | return landaun; | |
731 | } | |
7e4038b5 | 732 | |
733 | //==================================================================== | |
734 | AliForwardUtil::Histos::~Histos() | |
735 | { | |
7984e5f7 | 736 | // |
737 | // Destructor | |
738 | // | |
7e4038b5 | 739 | if (fFMD1i) delete fFMD1i; |
740 | if (fFMD2i) delete fFMD2i; | |
741 | if (fFMD2o) delete fFMD2o; | |
742 | if (fFMD3i) delete fFMD3i; | |
743 | if (fFMD3o) delete fFMD3o; | |
744 | } | |
745 | ||
746 | //____________________________________________________________________ | |
747 | TH2D* | |
748 | AliForwardUtil::Histos::Make(UShort_t d, Char_t r, | |
749 | const TAxis& etaAxis) const | |
750 | { | |
7984e5f7 | 751 | // |
752 | // Make a histogram | |
753 | // | |
754 | // Parameters: | |
755 | // d Detector | |
756 | // r Ring | |
757 | // etaAxis Eta axis to use | |
758 | // | |
759 | // Return: | |
760 | // Newly allocated histogram | |
761 | // | |
7e4038b5 | 762 | Int_t ns = (r == 'I' || r == 'i') ? 20 : 40; |
763 | TH2D* hist = new TH2D(Form("FMD%d%c_cache", d, r), | |
764 | Form("FMD%d%c cache", d, r), | |
765 | etaAxis.GetNbins(), etaAxis.GetXmin(), | |
766 | etaAxis.GetXmax(), ns, 0, 2*TMath::Pi()); | |
767 | hist->SetXTitle("#eta"); | |
768 | hist->SetYTitle("#phi [radians]"); | |
769 | hist->SetZTitle("d^{2}N_{ch}/d#etad#phi"); | |
770 | hist->Sumw2(); | |
771 | hist->SetDirectory(0); | |
772 | ||
773 | return hist; | |
774 | } | |
775 | //____________________________________________________________________ | |
776 | void | |
777 | AliForwardUtil::Histos::Init(const TAxis& etaAxis) | |
778 | { | |
7984e5f7 | 779 | // |
780 | // Initialize the object | |
781 | // | |
782 | // Parameters: | |
783 | // etaAxis Eta axis to use | |
784 | // | |
7e4038b5 | 785 | fFMD1i = Make(1, 'I', etaAxis); |
786 | fFMD2i = Make(2, 'I', etaAxis); | |
787 | fFMD2o = Make(2, 'O', etaAxis); | |
788 | fFMD3i = Make(3, 'I', etaAxis); | |
789 | fFMD3o = Make(3, 'O', etaAxis); | |
790 | } | |
791 | //____________________________________________________________________ | |
792 | void | |
793 | AliForwardUtil::Histos::Clear(Option_t* option) | |
794 | { | |
7984e5f7 | 795 | // |
796 | // Clear data | |
797 | // | |
798 | // Parameters: | |
799 | // option Not used | |
800 | // | |
7e4038b5 | 801 | fFMD1i->Reset(option); |
802 | fFMD2i->Reset(option); | |
803 | fFMD2o->Reset(option); | |
804 | fFMD3i->Reset(option); | |
805 | fFMD3o->Reset(option); | |
806 | } | |
807 | ||
808 | //____________________________________________________________________ | |
809 | TH2D* | |
810 | AliForwardUtil::Histos::Get(UShort_t d, Char_t r) const | |
811 | { | |
7984e5f7 | 812 | // |
813 | // Get the histogram for a particular detector,ring | |
814 | // | |
815 | // Parameters: | |
816 | // d Detector | |
817 | // r Ring | |
818 | // | |
819 | // Return: | |
820 | // Histogram for detector,ring or nul | |
821 | // | |
7e4038b5 | 822 | switch (d) { |
823 | case 1: return fFMD1i; | |
824 | case 2: return (r == 'I' || r == 'i' ? fFMD2i : fFMD2o); | |
825 | case 3: return (r == 'I' || r == 'i' ? fFMD3i : fFMD3o); | |
826 | } | |
827 | return 0; | |
828 | } | |
9d99b0dd | 829 | //==================================================================== |
830 | TList* | |
831 | AliForwardUtil::RingHistos::DefineOutputList(TList* d) const | |
832 | { | |
7984e5f7 | 833 | // |
834 | // Define the outout list in @a d | |
835 | // | |
836 | // Parameters: | |
837 | // d Where to put the output list | |
838 | // | |
839 | // Return: | |
840 | // Newly allocated TList object or null | |
841 | // | |
9d99b0dd | 842 | if (!d) return 0; |
843 | TList* list = new TList; | |
844 | list->SetName(fName.Data()); | |
845 | d->Add(list); | |
846 | return list; | |
847 | } | |
848 | //____________________________________________________________________ | |
849 | TList* | |
850 | AliForwardUtil::RingHistos::GetOutputList(TList* d) const | |
851 | { | |
7984e5f7 | 852 | // |
853 | // Get our output list from the container @a d | |
854 | // | |
855 | // Parameters: | |
856 | // d where to get the output list from | |
857 | // | |
858 | // Return: | |
859 | // The found TList or null | |
860 | // | |
9d99b0dd | 861 | if (!d) return 0; |
862 | TList* list = static_cast<TList*>(d->FindObject(fName.Data())); | |
863 | return list; | |
864 | } | |
865 | ||
866 | //____________________________________________________________________ | |
867 | TH1* | |
868 | AliForwardUtil::RingHistos::GetOutputHist(TList* d, const char* name) const | |
869 | { | |
7984e5f7 | 870 | // |
871 | // Find a specific histogram in the source list @a d | |
872 | // | |
873 | // Parameters: | |
874 | // d (top)-container | |
875 | // name Name of histogram | |
876 | // | |
877 | // Return: | |
878 | // Found histogram or null | |
879 | // | |
9d99b0dd | 880 | return static_cast<TH1*>(d->FindObject(name)); |
881 | } | |
882 | ||
7e4038b5 | 883 | // |
884 | // EOF | |
885 | // |