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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> |
f53fb4f6 | 20 | #include <TROOT.h> |
7f759bb7 | 21 | |
0bd4b00f | 22 | //==================================================================== |
23 | UShort_t | |
24 | AliForwardUtil::ParseCollisionSystem(const char* sys) | |
25 | { | |
7984e5f7 | 26 | // |
27 | // Parse a collision system spec given in a string. Known values are | |
28 | // | |
0151a6c6 | 29 | // - "ppb", "p-pb", "pa", "p-a" which returns kPPb |
30 | // - "pp", "p-p" which returns kPP | |
31 | // - "PbPb", "Pb-Pb", "A-A", which returns kPbPb | |
7984e5f7 | 32 | // - Everything else gives kUnknown |
33 | // | |
34 | // Parameters: | |
35 | // sys Collision system spec | |
36 | // | |
37 | // Return: | |
38 | // Collision system id | |
39 | // | |
0bd4b00f | 40 | TString s(sys); |
41 | s.ToLower(); | |
0151a6c6 | 42 | // we do pA first to avoid pp catch on ppb string (AH) |
43 | if (s.Contains("p-pb") || s.Contains("ppb")) return AliForwardUtil::kPPb; | |
44 | if (s.Contains("p-a") || s.Contains("pa")) return AliForwardUtil::kPPb; | |
45 | if (s.Contains("p-p") || s.Contains("pp")) return AliForwardUtil::kPP; | |
46 | if (s.Contains("pb-pb") || s.Contains("pbpb")) return AliForwardUtil::kPbPb; | |
47 | if (s.Contains("a-a") || s.Contains("aa")) return AliForwardUtil::kPbPb; | |
0bd4b00f | 48 | return AliForwardUtil::kUnknown; |
49 | } | |
50 | //____________________________________________________________________ | |
51 | const char* | |
52 | AliForwardUtil::CollisionSystemString(UShort_t sys) | |
53 | { | |
7984e5f7 | 54 | // |
55 | // Get a string representation of the collision system | |
56 | // | |
57 | // Parameters: | |
58 | // sys Collision system | |
59 | // - kPP -> "pp" | |
60 | // - kPbPb -> "PbPb" | |
61 | // - anything else gives "unknown" | |
62 | // | |
63 | // Return: | |
64 | // String representation of the collision system | |
65 | // | |
0bd4b00f | 66 | switch (sys) { |
67 | case AliForwardUtil::kPP: return "pp"; | |
68 | case AliForwardUtil::kPbPb: return "PbPb"; | |
0151a6c6 | 69 | case AliForwardUtil::kPPb: return "pPb"; |
0bd4b00f | 70 | } |
71 | return "unknown"; | |
72 | } | |
73 | //____________________________________________________________________ | |
74 | UShort_t | |
cc83fca2 | 75 | AliForwardUtil::ParseCenterOfMassEnergy(UShort_t /* sys */, Float_t v) |
0bd4b00f | 76 | { |
7984e5f7 | 77 | // |
78 | // Parse the center of mass energy given as a float and return known | |
79 | // values as a unsigned integer | |
80 | // | |
81 | // Parameters: | |
82 | // sys Collision system (needed for AA) | |
83 | // cms Center of mass energy * total charge | |
84 | // | |
85 | // Return: | |
86 | // Center of mass energy per nucleon | |
87 | // | |
0bd4b00f | 88 | Float_t energy = v; |
cc83fca2 | 89 | // Below no longer needed apparently |
90 | // if (sys == AliForwardUtil::kPbPb) energy = energy / 208 * 82; | |
0bd4b00f | 91 | if (TMath::Abs(energy - 900.) < 10) return 900; |
92 | if (TMath::Abs(energy - 2400.) < 10) return 2400; | |
e58000b7 | 93 | if (TMath::Abs(energy - 2750.) < 20) return 2750; |
0151a6c6 | 94 | if (TMath::Abs(energy - 4400.) < 10) return 4400; |
0bd4b00f | 95 | if (TMath::Abs(energy - 5500.) < 40) return 5500; |
96 | if (TMath::Abs(energy - 7000.) < 10) return 7000; | |
4bcdcbc1 | 97 | if (TMath::Abs(energy - 8000.) < 10) return 8000; |
0bd4b00f | 98 | if (TMath::Abs(energy - 10000.) < 10) return 10000; |
99 | if (TMath::Abs(energy - 14000.) < 10) return 14000; | |
100 | return 0; | |
101 | } | |
102 | //____________________________________________________________________ | |
103 | const char* | |
104 | AliForwardUtil::CenterOfMassEnergyString(UShort_t cms) | |
105 | { | |
7984e5f7 | 106 | // |
107 | // Get a string representation of the center of mass energy per nuclean | |
108 | // | |
109 | // Parameters: | |
110 | // cms Center of mass energy per nucleon | |
111 | // | |
112 | // Return: | |
113 | // String representation of the center of mass energy per nuclean | |
114 | // | |
0bd4b00f | 115 | return Form("%04dGeV", cms); |
116 | } | |
117 | //____________________________________________________________________ | |
118 | Short_t | |
119 | AliForwardUtil::ParseMagneticField(Float_t v) | |
120 | { | |
7984e5f7 | 121 | // |
122 | // Parse the magnetic field (in kG) as given by a floating point number | |
123 | // | |
124 | // Parameters: | |
125 | // field Magnetic field in kG | |
126 | // | |
127 | // Return: | |
128 | // Short integer value of magnetic field in kG | |
129 | // | |
0bd4b00f | 130 | if (TMath::Abs(v - 5.) < 1 ) return +5; |
131 | if (TMath::Abs(v + 5.) < 1 ) return -5; | |
132 | if (TMath::Abs(v) < 1) return 0; | |
133 | return 999; | |
134 | } | |
135 | //____________________________________________________________________ | |
136 | const char* | |
137 | AliForwardUtil::MagneticFieldString(Short_t f) | |
138 | { | |
7984e5f7 | 139 | // |
140 | // Get a string representation of the magnetic field | |
141 | // | |
142 | // Parameters: | |
143 | // field Magnetic field in kG | |
144 | // | |
145 | // Return: | |
146 | // String representation of the magnetic field | |
147 | // | |
0bd4b00f | 148 | return Form("%01dkG", f); |
149 | } | |
6f4a5c0d | 150 | //_____________________________________________________________________ |
151 | Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring, UShort_t sec, UShort_t strip, Double_t zvtx) | |
152 | { | |
153 | //Calculate eta from strip with vertex (redundant with AliESDFMD::Eta but support displaced vertices) | |
154 | ||
155 | //Get max R of ring | |
156 | Double_t maxR = 0; | |
157 | Double_t minR = 0; | |
158 | Bool_t inner = false; | |
159 | switch (ring) { | |
160 | case 'i': case 'I': maxR = 17.2; minR = 4.5213; inner = true; break; | |
161 | case 'o': case 'O': maxR = 28.0; minR = 15.4; inner = false; break; | |
162 | default: | |
163 | return -99999; | |
164 | } | |
165 | ||
166 | Double_t rad = maxR- minR; | |
167 | Double_t nStrips = (ring == 'I' ? 512 : 256); | |
168 | Double_t segment = rad / nStrips; | |
169 | Double_t r = minR + segment*strip; | |
170 | Int_t hybrid = sec / 2; | |
171 | ||
172 | Double_t z = 0; | |
173 | switch (det) { | |
174 | case 1: z = 320.266; break; | |
175 | case 2: z = (inner ? 83.666 : 74.966); break; | |
176 | case 3: z = (inner ? -63.066 : -74.966); break; | |
177 | default: return -999999; | |
178 | } | |
179 | if ((hybrid % 2) == 0) z -= .5; | |
180 | ||
181 | Double_t theta = TMath::ATan2(r,z-zvtx); | |
182 | Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta)); | |
183 | ||
184 | return eta; | |
185 | } | |
0bd4b00f | 186 | |
187 | ||
7f759bb7 | 188 | //==================================================================== |
189 | Int_t AliForwardUtil::fgConvolutionSteps = 100; | |
190 | Double_t AliForwardUtil::fgConvolutionNSigma = 5; | |
191 | namespace { | |
7984e5f7 | 192 | // |
193 | // The shift of the most probable value for the ROOT function TMath::Landau | |
194 | // | |
7f759bb7 | 195 | const Double_t mpshift = -0.22278298; |
7984e5f7 | 196 | // |
197 | // Integration normalisation | |
198 | // | |
7f759bb7 | 199 | const Double_t invSq2pi = 1. / TMath::Sqrt(2*TMath::Pi()); |
200 | ||
7984e5f7 | 201 | // |
202 | // Utility function to use in TF1 defintition | |
203 | // | |
7f759bb7 | 204 | Double_t landauGaus1(Double_t* xp, Double_t* pp) |
205 | { | |
206 | Double_t x = xp[0]; | |
c389303e | 207 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; |
208 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
209 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
210 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
1174780f | 211 | Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN]; |
7f759bb7 | 212 | |
1174780f | 213 | return constant * AliForwardUtil::LandauGaus(x, delta, xi, sigma, sigmaN); |
7f759bb7 | 214 | } |
215 | ||
7984e5f7 | 216 | // |
217 | // Utility function to use in TF1 defintition | |
218 | // | |
7f759bb7 | 219 | Double_t landauGausN(Double_t* xp, Double_t* pp) |
220 | { | |
221 | Double_t x = xp[0]; | |
c389303e | 222 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; |
223 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
224 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
225 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
1174780f | 226 | Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN]; |
c389303e | 227 | Int_t n = Int_t(pp[AliForwardUtil::ELossFitter::kN]); |
228 | Double_t* a = &(pp[AliForwardUtil::ELossFitter::kA]); | |
7f759bb7 | 229 | |
1174780f | 230 | return constant * AliForwardUtil::NLandauGaus(x, delta, xi, sigma, sigmaN, |
7f759bb7 | 231 | n, a); |
232 | } | |
7984e5f7 | 233 | // |
234 | // Utility function to use in TF1 defintition | |
235 | // | |
0bd4b00f | 236 | Double_t landauGausI(Double_t* xp, Double_t* pp) |
237 | { | |
238 | Double_t x = xp[0]; | |
239 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; | |
240 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
241 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
242 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
1174780f | 243 | Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN]; |
0bd4b00f | 244 | Int_t i = Int_t(pp[AliForwardUtil::ELossFitter::kN]); |
245 | ||
1174780f | 246 | return constant * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i); |
0bd4b00f | 247 | } |
7f759bb7 | 248 | |
249 | ||
250 | } | |
251 | //____________________________________________________________________ | |
252 | Double_t | |
253 | AliForwardUtil::Landau(Double_t x, Double_t delta, Double_t xi) | |
254 | { | |
7984e5f7 | 255 | // |
256 | // Calculate the shifted Landau | |
257 | // @f[ | |
258 | // f'_{L}(x;\Delta,\xi) = f_L(x;\Delta+0.22278298\xi) | |
259 | // @f] | |
260 | // | |
261 | // where @f$ f_{L}@f$ is the ROOT implementation of the Landau | |
262 | // distribution (known to have @f$ \Delta_{p}=-0.22278298@f$ for | |
263 | // @f$\Delta=0,\xi=1@f$. | |
264 | // | |
265 | // Parameters: | |
266 | // x Where to evaluate @f$ f'_{L}@f$ | |
267 | // delta Most probable value | |
268 | // xi The 'width' of the distribution | |
269 | // | |
270 | // Return: | |
271 | // @f$ f'_{L}(x;\Delta,\xi) @f$ | |
272 | // | |
7f759bb7 | 273 | return TMath::Landau(x, delta - xi * mpshift, xi); |
274 | } | |
275 | //____________________________________________________________________ | |
276 | Double_t | |
277 | AliForwardUtil::LandauGaus(Double_t x, Double_t delta, Double_t xi, | |
1174780f | 278 | Double_t sigma, Double_t sigmaN) |
7f759bb7 | 279 | { |
7984e5f7 | 280 | // |
281 | // Calculate the value of a Landau convolved with a Gaussian | |
282 | // | |
283 | // @f[ | |
284 | // f(x;\Delta,\xi,\sigma') = \frac{1}{\sigma' \sqrt{2 \pi}} | |
285 | // \int_{-\infty}^{+\infty} d\Delta' f'_{L}(x;\Delta',\xi) | |
286 | // \exp{-\frac{(\Delta-\Delta')^2}{2\sigma'^2}} | |
287 | // @f] | |
288 | // | |
289 | // where @f$ f'_{L}@f$ is the Landau distribution, @f$ \Delta@f$ the | |
290 | // energy loss, @f$ \xi@f$ the width of the Landau, and | |
291 | // @f$ \sigma'^2=\sigma^2-\sigma_n^2 @f$. Here, @f$\sigma@f$ is the | |
292 | // variance of the Gaussian, and @f$\sigma_n@f$ is a parameter modelling | |
293 | // noise in the detector. | |
294 | // | |
295 | // Note that this function uses the constants fgConvolutionSteps and | |
296 | // fgConvolutionNSigma | |
297 | // | |
298 | // References: | |
299 | // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a> | |
300 | // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a> | |
301 | // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a> | |
302 | // | |
303 | // Parameters: | |
304 | // x where to evaluate @f$ f@f$ | |
305 | // delta @f$ \Delta@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$ | |
306 | // xi @f$ \xi@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$ | |
307 | // sigma @f$ \sigma@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$ | |
308 | // sigma_n @f$ \sigma_n@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$ | |
309 | // | |
310 | // Return: | |
311 | // @f$ f@f$ evaluated at @f$ x@f$. | |
312 | // | |
7f759bb7 | 313 | Double_t deltap = delta - xi * mpshift; |
1174780f | 314 | Double_t sigma2 = sigmaN*sigmaN + sigma*sigma; |
315 | Double_t sigma1 = sigmaN == 0 ? sigma : TMath::Sqrt(sigma2); | |
7f759bb7 | 316 | Double_t xlow = x - fgConvolutionNSigma * sigma1; |
c389303e | 317 | Double_t xhigh = x + fgConvolutionNSigma * sigma1; |
7f759bb7 | 318 | Double_t step = (xhigh - xlow) / fgConvolutionSteps; |
319 | Double_t sum = 0; | |
320 | ||
321 | for (Int_t i = 0; i <= fgConvolutionSteps/2; i++) { | |
c389303e | 322 | Double_t x1 = xlow + (i - .5) * step; |
323 | Double_t x2 = xhigh - (i - .5) * step; | |
7f759bb7 | 324 | |
325 | sum += TMath::Landau(x1, deltap, xi, kTRUE) * TMath::Gaus(x, x1, sigma1); | |
326 | sum += TMath::Landau(x2, deltap, xi, kTRUE) * TMath::Gaus(x, x2, sigma1); | |
327 | } | |
328 | return step * sum * invSq2pi / sigma1; | |
329 | } | |
330 | ||
0bd4b00f | 331 | //____________________________________________________________________ |
332 | Double_t | |
333 | AliForwardUtil::ILandauGaus(Double_t x, Double_t delta, Double_t xi, | |
1174780f | 334 | Double_t sigma, Double_t sigmaN, Int_t i) |
0bd4b00f | 335 | { |
7984e5f7 | 336 | // |
337 | // Evaluate | |
338 | // @f[ | |
339 | // f_i(x;\Delta,\xi,\sigma') = f(x;\Delta_i,\xi_i,\sigma_i') | |
340 | // @f] | |
341 | // corresponding to @f$ i@f$ particles i.e., with the substitutions | |
342 | // @f{eqnarray*}{ | |
343 | // \Delta \rightarrow \Delta_i &=& i(\Delta + \xi\log(i)) | |
344 | // \xi \rightarrow \xi_i &=& i \xi | |
345 | // \sigma \rightarrow \sigma_i &=& \sqrt{i}\sigma | |
346 | // \sigma'^2 \rightarrow \sigma_i'^2 &=& \sigma_n^2 + \sigma_i^2 | |
347 | // @f} | |
348 | // | |
349 | // Parameters: | |
350 | // x Where to evaluate | |
351 | // delta @f$ \Delta@f$ | |
352 | // xi @f$ \xi@f$ | |
353 | // sigma @f$ \sigma@f$ | |
354 | // sigma_n @f$ \sigma_n@f$ | |
355 | // i @f$ i @f$ | |
356 | // | |
357 | // Return: | |
358 | // @f$ f_i @f$ evaluated | |
359 | // | |
1174780f | 360 | Double_t deltaI = (i == 1 ? delta : i * (delta + xi * TMath::Log(i))); |
361 | Double_t xiI = i * xi; | |
362 | Double_t sigmaI = (i == 1 ? sigma : TMath::Sqrt(Double_t(i))*sigma); | |
363 | if (sigmaI < 1e-10) { | |
0bd4b00f | 364 | // Fall back to landau |
1174780f | 365 | return AliForwardUtil::Landau(x, deltaI, xiI); |
0bd4b00f | 366 | } |
1174780f | 367 | return AliForwardUtil::LandauGaus(x, deltaI, xiI, sigmaI, sigmaN); |
0bd4b00f | 368 | } |
369 | ||
370 | //____________________________________________________________________ | |
371 | Double_t | |
372 | AliForwardUtil::IdLandauGausdPar(Double_t x, | |
373 | UShort_t par, Double_t dPar, | |
374 | Double_t delta, Double_t xi, | |
1174780f | 375 | Double_t sigma, Double_t sigmaN, |
0bd4b00f | 376 | Int_t i) |
377 | { | |
7984e5f7 | 378 | // |
379 | // Numerically evaluate | |
380 | // @f[ | |
381 | // \left.\frac{\partial f_i}{\partial p_i}\right|_{x} | |
382 | // @f] | |
383 | // where @f$ p_i@f$ is the @f$ i^{\mbox{th}}@f$ parameter. The mapping | |
384 | // of the parameters is given by | |
385 | // | |
386 | // - 0: @f$\Delta@f$ | |
387 | // - 1: @f$\xi@f$ | |
388 | // - 2: @f$\sigma@f$ | |
389 | // - 3: @f$\sigma_n@f$ | |
390 | // | |
391 | // This is the partial derivative with respect to the parameter of | |
392 | // the response function corresponding to @f$ i@f$ particles i.e., | |
393 | // with the substitutions | |
394 | // @f[ | |
395 | // \Delta \rightarrow \Delta_i = i(\Delta + \xi\log(i)) | |
396 | // \xi \rightarrow \xi_i = i \xi | |
397 | // \sigma \rightarrow \sigma_i = \sqrt{i}\sigma | |
398 | // \sigma'^2 \rightarrow \sigma_i'^2 = \sigma_n^2 + \sigma_i^2 | |
399 | // @f] | |
400 | // | |
401 | // Parameters: | |
402 | // x Where to evaluate | |
403 | // ipar Parameter number | |
404 | // dp @f$ \epsilon\delta p_i@f$ for some value of @f$\epsilon@f$ | |
405 | // delta @f$ \Delta@f$ | |
406 | // xi @f$ \xi@f$ | |
407 | // sigma @f$ \sigma@f$ | |
408 | // sigma_n @f$ \sigma_n@f$ | |
409 | // i @f$ i@f$ | |
410 | // | |
411 | // Return: | |
412 | // @f$ f_i@f$ evaluated | |
413 | // | |
0bd4b00f | 414 | if (dPar == 0) return 0; |
415 | Double_t dp = dPar; | |
416 | Double_t d2 = dPar / 2; | |
1174780f | 417 | Double_t deltaI = i * (delta + xi * TMath::Log(i)); |
418 | Double_t xiI = i * xi; | |
0bd4b00f | 419 | Double_t si = TMath::Sqrt(Double_t(i)); |
1174780f | 420 | Double_t sigmaI = si*sigma; |
0bd4b00f | 421 | Double_t y1 = 0; |
422 | Double_t y2 = 0; | |
423 | Double_t y3 = 0; | |
424 | Double_t y4 = 0; | |
425 | switch (par) { | |
426 | case 0: | |
1174780f | 427 | y1 = ILandauGaus(x, deltaI+i*dp, xiI, sigmaI, sigmaN, i); |
428 | y2 = ILandauGaus(x, deltaI+i*d2, xiI, sigmaI, sigmaN, i); | |
429 | y3 = ILandauGaus(x, deltaI-i*d2, xiI, sigmaI, sigmaN, i); | |
430 | y4 = ILandauGaus(x, deltaI-i*dp, xiI, sigmaI, sigmaN, i); | |
0bd4b00f | 431 | break; |
432 | case 1: | |
1174780f | 433 | y1 = ILandauGaus(x, deltaI, xiI+i*dp, sigmaI, sigmaN, i); |
434 | y2 = ILandauGaus(x, deltaI, xiI+i*d2, sigmaI, sigmaN, i); | |
435 | y3 = ILandauGaus(x, deltaI, xiI-i*d2, sigmaI, sigmaN, i); | |
436 | y4 = ILandauGaus(x, deltaI, xiI-i*dp, sigmaI, sigmaN, i); | |
0bd4b00f | 437 | break; |
438 | case 2: | |
1174780f | 439 | y1 = ILandauGaus(x, deltaI, xiI, sigmaI+si*dp, sigmaN, i); |
440 | y2 = ILandauGaus(x, deltaI, xiI, sigmaI+si*d2, sigmaN, i); | |
441 | y3 = ILandauGaus(x, deltaI, xiI, sigmaI-si*d2, sigmaN, i); | |
442 | y4 = ILandauGaus(x, deltaI, xiI, sigmaI-si*dp, sigmaN, i); | |
0bd4b00f | 443 | break; |
444 | case 3: | |
1174780f | 445 | y1 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+dp, i); |
446 | y2 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+d2, i); | |
447 | y3 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-d2, i); | |
448 | y4 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-dp, i); | |
0bd4b00f | 449 | break; |
450 | default: | |
451 | return 0; | |
452 | } | |
453 | ||
454 | Double_t d0 = y1 - y4; | |
455 | Double_t d1 = 2 * (y2 - y3); | |
456 | ||
457 | Double_t g = 1/(2*dp) * (4*d1 - d0) / 3; | |
458 | ||
459 | return g; | |
460 | } | |
461 | ||
7f759bb7 | 462 | //____________________________________________________________________ |
463 | Double_t | |
464 | AliForwardUtil::NLandauGaus(Double_t x, Double_t delta, Double_t xi, | |
1174780f | 465 | Double_t sigma, Double_t sigmaN, Int_t n, |
fb3430ac | 466 | const Double_t* a) |
7f759bb7 | 467 | { |
7984e5f7 | 468 | // |
469 | // Evaluate | |
470 | // @f[ | |
471 | // f_N(x;\Delta,\xi,\sigma') = \sum_{i=1}^N a_i f_i(x;\Delta,\xi,\sigma'a) | |
472 | // @f] | |
473 | // | |
474 | // where @f$ f(x;\Delta,\xi,\sigma')@f$ is the convolution of a | |
475 | // Landau with a Gaussian (see LandauGaus). Note that | |
476 | // @f$ a_1 = 1@f$, @f$\Delta_i = i(\Delta_1 + \xi\log(i))@f$, | |
477 | // @f$\xi_i=i\xi_1@f$, and @f$\sigma_i'^2 = \sigma_n^2 + i\sigma_1^2@f$. | |
478 | // | |
479 | // References: | |
480 | // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a> | |
481 | // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a> | |
482 | // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a> | |
483 | // | |
484 | // Parameters: | |
485 | // x Where to evaluate @f$ f_N@f$ | |
486 | // delta @f$ \Delta_1@f$ | |
487 | // xi @f$ \xi_1@f$ | |
488 | // sigma @f$ \sigma_1@f$ | |
489 | // sigma_n @f$ \sigma_n@f$ | |
490 | // n @f$ N@f$ in the sum above. | |
491 | // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for | |
492 | // @f$ i > 1@f$ | |
493 | // | |
494 | // Return: | |
495 | // @f$ f_N(x;\Delta,\xi,\sigma')@f$ | |
496 | // | |
1174780f | 497 | Double_t result = ILandauGaus(x, delta, xi, sigma, sigmaN, 1); |
0bd4b00f | 498 | for (Int_t i = 2; i <= n; i++) |
1174780f | 499 | result += a[i-2] * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i); |
7f759bb7 | 500 | return result; |
501 | } | |
0bd4b00f | 502 | namespace { |
503 | const Int_t kColors[] = { kRed+1, | |
504 | kPink+3, | |
505 | kMagenta+2, | |
506 | kViolet+2, | |
507 | kBlue+1, | |
508 | kAzure+3, | |
509 | kCyan+1, | |
510 | kTeal+2, | |
511 | kGreen+2, | |
512 | kSpring+3, | |
513 | kYellow+2, | |
514 | kOrange+2 }; | |
515 | } | |
516 | ||
517 | //____________________________________________________________________ | |
518 | TF1* | |
519 | AliForwardUtil::MakeNLandauGaus(Double_t c, | |
520 | Double_t delta, Double_t xi, | |
1174780f | 521 | Double_t sigma, Double_t sigmaN, Int_t n, |
fb3430ac | 522 | const Double_t* a, |
0bd4b00f | 523 | Double_t xmin, Double_t xmax) |
524 | { | |
7984e5f7 | 525 | // |
526 | // Generate a TF1 object of @f$ f_N@f$ | |
527 | // | |
528 | // Parameters: | |
529 | // c Constant | |
530 | // delta @f$ \Delta@f$ | |
531 | // xi @f$ \xi_1@f$ | |
532 | // sigma @f$ \sigma_1@f$ | |
533 | // sigma_n @f$ \sigma_n@f$ | |
534 | // n @f$ N@f$ - how many particles to sum to | |
535 | // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for | |
536 | // @f$ i > 1@f$ | |
537 | // xmin Least value of range | |
538 | // xmax Largest value of range | |
539 | // | |
540 | // Return: | |
541 | // Newly allocated TF1 object | |
542 | // | |
0bd4b00f | 543 | Int_t npar = AliForwardUtil::ELossFitter::kN+n; |
544 | TF1* landaun = new TF1(Form("nlandau%d", n), &landauGausN,xmin,xmax,npar); | |
545 | // landaun->SetLineStyle(((n-2) % 10)+2); // start at dashed | |
546 | landaun->SetLineColor(kColors[((n-1) % 12)]); // start at red | |
547 | landaun->SetLineWidth(2); | |
548 | landaun->SetNpx(500); | |
549 | landaun->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "N"); | |
550 | ||
551 | // Set the initial parameters from the seed fit | |
552 | landaun->SetParameter(AliForwardUtil::ELossFitter::kC, c); | |
553 | landaun->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta); | |
554 | landaun->SetParameter(AliForwardUtil::ELossFitter::kXi, xi); | |
555 | landaun->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma); | |
1174780f | 556 | landaun->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN); |
0bd4b00f | 557 | landaun->FixParameter(AliForwardUtil::ELossFitter::kN, n); |
558 | ||
559 | // Set the range and name of the scale parameters | |
560 | for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit | |
561 | landaun->SetParameter(AliForwardUtil::ELossFitter::kA+i-2, a[i-2]); | |
562 | landaun->SetParName(AliForwardUtil::ELossFitter::kA+i-2, Form("a_{%d}", i)); | |
563 | } | |
564 | return landaun; | |
565 | } | |
566 | //____________________________________________________________________ | |
567 | TF1* | |
568 | AliForwardUtil::MakeILandauGaus(Double_t c, | |
569 | Double_t delta, Double_t xi, | |
1174780f | 570 | Double_t sigma, Double_t sigmaN, Int_t i, |
0bd4b00f | 571 | Double_t xmin, Double_t xmax) |
572 | { | |
7984e5f7 | 573 | // |
574 | // Generate a TF1 object of @f$ f_I@f$ | |
575 | // | |
576 | // Parameters: | |
577 | // c Constant | |
578 | // delta @f$ \Delta@f$ | |
579 | // xi @f$ \xi_1@f$ | |
580 | // sigma @f$ \sigma_1@f$ | |
581 | // sigma_n @f$ \sigma_n@f$ | |
582 | // i @f$ i@f$ - the number of particles | |
583 | // xmin Least value of range | |
584 | // xmax Largest value of range | |
585 | // | |
586 | // Return: | |
587 | // Newly allocated TF1 object | |
588 | // | |
0bd4b00f | 589 | Int_t npar = AliForwardUtil::ELossFitter::kN+1; |
590 | TF1* landaui = new TF1(Form("ilandau%d", i), &landauGausI,xmin,xmax,npar); | |
591 | // landaui->SetLineStyle(((i-2) % 10)+2); // start at dashed | |
592 | landaui->SetLineColor(kColors[((i-1) % 12)]); // start at red | |
593 | landaui->SetLineWidth(1); | |
594 | landaui->SetNpx(500); | |
595 | landaui->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "i"); | |
596 | ||
597 | // Set the initial parameters from the seed fit | |
598 | landaui->SetParameter(AliForwardUtil::ELossFitter::kC, c); | |
599 | landaui->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta); | |
600 | landaui->SetParameter(AliForwardUtil::ELossFitter::kXi, xi); | |
601 | landaui->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma); | |
1174780f | 602 | landaui->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN); |
0bd4b00f | 603 | landaui->FixParameter(AliForwardUtil::ELossFitter::kN, i); |
604 | ||
605 | return landaui; | |
606 | } | |
7f759bb7 | 607 | |
608 | //==================================================================== | |
609 | AliForwardUtil::ELossFitter::ELossFitter(Double_t lowCut, | |
610 | Double_t maxRange, | |
611 | UShort_t minusBins) | |
612 | : fLowCut(lowCut), fMaxRange(maxRange), fMinusBins(minusBins), | |
613 | fFitResults(0), fFunctions(0) | |
614 | { | |
7984e5f7 | 615 | // |
616 | // Constructor | |
617 | // | |
618 | // Parameters: | |
619 | // lowCut Lower cut of spectrum - data below this cuts is ignored | |
620 | // maxRange Maximum range to fit to | |
621 | // minusBins The number of bins below maximum to use | |
622 | // | |
7f759bb7 | 623 | fFitResults.SetOwner(); |
624 | fFunctions.SetOwner(); | |
625 | } | |
626 | //____________________________________________________________________ | |
627 | AliForwardUtil::ELossFitter::~ELossFitter() | |
628 | { | |
7984e5f7 | 629 | // |
630 | // Destructor | |
631 | // | |
632 | // | |
7f759bb7 | 633 | fFitResults.Delete(); |
634 | fFunctions.Delete(); | |
635 | } | |
636 | //____________________________________________________________________ | |
637 | void | |
638 | AliForwardUtil::ELossFitter::Clear() | |
639 | { | |
7984e5f7 | 640 | // |
641 | // Clear internal arrays | |
642 | // | |
643 | // | |
7f759bb7 | 644 | fFitResults.Clear(); |
645 | fFunctions.Clear(); | |
646 | } | |
647 | //____________________________________________________________________ | |
648 | TF1* | |
649 | AliForwardUtil::ELossFitter::Fit1Particle(TH1* dist, Double_t sigman) | |
650 | { | |
7984e5f7 | 651 | // |
652 | // Fit a 1-particle signal to the passed energy loss distribution | |
653 | // | |
654 | // Note that this function clears the internal arrays first | |
655 | // | |
656 | // Parameters: | |
657 | // dist Data to fit the function to | |
658 | // sigman If larger than zero, the initial guess of the | |
659 | // detector induced noise. If zero or less, then this | |
660 | // parameter is ignored in the fit (fixed at 0) | |
661 | // | |
662 | // Return: | |
663 | // The function fitted to the data | |
664 | // | |
665 | ||
7f759bb7 | 666 | // Clear the cache |
667 | Clear(); | |
668 | ||
669 | // Find the fit range | |
670 | dist->GetXaxis()->SetRangeUser(fLowCut, fMaxRange); | |
671 | ||
7f759bb7 | 672 | // Get the bin with maximum |
673 | Int_t maxBin = dist->GetMaximumBin(); | |
674 | Double_t maxE = dist->GetBinLowEdge(maxBin); | |
675 | ||
676 | // Get the low edge | |
677 | dist->GetXaxis()->SetRangeUser(fLowCut, maxE); | |
678 | Int_t minBin = maxBin - fMinusBins; // dist->GetMinimumBin(); | |
679 | Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut); | |
680 | Double_t maxEE = dist->GetBinCenter(maxBin+2*fMinusBins); | |
681 | ||
682 | // Restore the range | |
683 | dist->GetXaxis()->SetRangeUser(0, fMaxRange); | |
684 | ||
685 | // Define the function to fit | |
0bd4b00f | 686 | TF1* landau1 = new TF1("landau1", landauGaus1, minE,maxEE,kSigmaN+1); |
7f759bb7 | 687 | |
688 | // Set initial guesses, parameter names, and limits | |
c389303e | 689 | landau1->SetParameters(1,0.5,0.07,0.1,sigman); |
7f759bb7 | 690 | landau1->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}"); |
c389303e | 691 | landau1->SetNpx(500); |
692 | landau1->SetParLimits(kDelta, minE, fMaxRange); | |
693 | landau1->SetParLimits(kXi, 0.00, fMaxRange); | |
694 | landau1->SetParLimits(kSigma, 0.01, 0.1); | |
695 | if (sigman <= 0) landau1->FixParameter(kSigmaN, 0); | |
696 | else landau1->SetParLimits(kSigmaN, 0, fMaxRange); | |
7f759bb7 | 697 | |
698 | // Do the fit, getting the result object | |
699 | TFitResultPtr r = dist->Fit(landau1, "RNQS", "", minE, maxEE); | |
c389303e | 700 | landau1->SetRange(minE, fMaxRange); |
7f759bb7 | 701 | fFitResults.AddAtAndExpand(new TFitResult(*r), 0); |
702 | fFunctions.AddAtAndExpand(landau1, 0); | |
703 | ||
704 | return landau1; | |
705 | } | |
706 | //____________________________________________________________________ | |
707 | TF1* | |
708 | AliForwardUtil::ELossFitter::FitNParticle(TH1* dist, UShort_t n, | |
709 | Double_t sigman) | |
710 | { | |
7984e5f7 | 711 | // |
712 | // Fit a N-particle signal to the passed energy loss distribution | |
713 | // | |
714 | // If there's no 1-particle fit present, it does that first | |
715 | // | |
716 | // Parameters: | |
717 | // dist Data to fit the function to | |
718 | // n Number of particle signals to fit | |
719 | // sigman If larger than zero, the initial guess of the | |
720 | // detector induced noise. If zero or less, then this | |
721 | // parameter is ignored in the fit (fixed at 0) | |
722 | // | |
723 | // Return: | |
724 | // The function fitted to the data | |
725 | // | |
726 | ||
7f759bb7 | 727 | // Get the seed fit result |
728 | TFitResult* r = static_cast<TFitResult*>(fFitResults.At(0)); | |
729 | TF1* f = static_cast<TF1*>(fFunctions.At(0)); | |
730 | if (!r || !f) { | |
731 | f = Fit1Particle(dist, sigman); | |
732 | r = static_cast<TFitResult*>(fFitResults.At(0)); | |
733 | if (!r || !f) { | |
734 | ::Warning("FitNLandau", "No first shot at landau fit"); | |
735 | return 0; | |
736 | } | |
737 | } | |
738 | ||
739 | // Get some parameters from seed fit | |
c389303e | 740 | Double_t delta1 = r->Parameter(kDelta); |
741 | Double_t xi1 = r->Parameter(kXi); | |
7f759bb7 | 742 | Double_t maxEi = n * (delta1 + xi1 * TMath::Log(n)) + 2 * n * xi1; |
743 | Double_t minE = f->GetXmin(); | |
744 | ||
0bd4b00f | 745 | // Array of weights |
746 | TArrayD a(n-1); | |
747 | for (UShort_t i = 2; i <= n; i++) | |
748 | a.fArray[i-2] = (n == 2 ? 0.05 : 0.000001); | |
7f759bb7 | 749 | // Make the fit function |
0bd4b00f | 750 | TF1* landaun = MakeNLandauGaus(r->Parameter(kC), |
751 | r->Parameter(kDelta), | |
752 | r->Parameter(kXi), | |
753 | r->Parameter(kSigma), | |
754 | r->Parameter(kSigmaN), | |
755 | n,a.fArray,minE,maxEi); | |
c389303e | 756 | landaun->SetParLimits(kDelta, minE, fMaxRange); // Delta |
757 | landaun->SetParLimits(kXi, 0.00, fMaxRange); // xi | |
758 | landaun->SetParLimits(kSigma, 0.01, 1); // sigma | |
759 | // Check if we're using the noise sigma | |
760 | if (sigman <= 0) landaun->FixParameter(kSigmaN, 0); | |
761 | else landaun->SetParLimits(kSigmaN, 0, fMaxRange); | |
7f759bb7 | 762 | |
763 | // Set the range and name of the scale parameters | |
764 | for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit | |
c389303e | 765 | landaun->SetParLimits(kA+i-2, 0,1); |
7f759bb7 | 766 | } |
767 | ||
768 | // Do the fit | |
769 | TFitResultPtr tr = dist->Fit(landaun, "RSQN", "", minE, maxEi); | |
770 | ||
c389303e | 771 | landaun->SetRange(minE, fMaxRange); |
7f759bb7 | 772 | fFitResults.AddAtAndExpand(new TFitResult(*tr), n-1); |
773 | fFunctions.AddAtAndExpand(landaun, n-1); | |
774 | ||
775 | return landaun; | |
776 | } | |
7e4038b5 | 777 | |
778 | //==================================================================== | |
779 | AliForwardUtil::Histos::~Histos() | |
780 | { | |
7984e5f7 | 781 | // |
782 | // Destructor | |
783 | // | |
7e4038b5 | 784 | if (fFMD1i) delete fFMD1i; |
785 | if (fFMD2i) delete fFMD2i; | |
786 | if (fFMD2o) delete fFMD2o; | |
787 | if (fFMD3i) delete fFMD3i; | |
788 | if (fFMD3o) delete fFMD3o; | |
789 | } | |
790 | ||
791 | //____________________________________________________________________ | |
792 | TH2D* | |
793 | AliForwardUtil::Histos::Make(UShort_t d, Char_t r, | |
794 | const TAxis& etaAxis) const | |
795 | { | |
7984e5f7 | 796 | // |
797 | // Make a histogram | |
798 | // | |
799 | // Parameters: | |
800 | // d Detector | |
801 | // r Ring | |
802 | // etaAxis Eta axis to use | |
803 | // | |
804 | // Return: | |
805 | // Newly allocated histogram | |
806 | // | |
7e4038b5 | 807 | Int_t ns = (r == 'I' || r == 'i') ? 20 : 40; |
808 | TH2D* hist = new TH2D(Form("FMD%d%c_cache", d, r), | |
809 | Form("FMD%d%c cache", d, r), | |
810 | etaAxis.GetNbins(), etaAxis.GetXmin(), | |
811 | etaAxis.GetXmax(), ns, 0, 2*TMath::Pi()); | |
812 | hist->SetXTitle("#eta"); | |
813 | hist->SetYTitle("#phi [radians]"); | |
814 | hist->SetZTitle("d^{2}N_{ch}/d#etad#phi"); | |
815 | hist->Sumw2(); | |
816 | hist->SetDirectory(0); | |
817 | ||
818 | return hist; | |
819 | } | |
820 | //____________________________________________________________________ | |
821 | void | |
822 | AliForwardUtil::Histos::Init(const TAxis& etaAxis) | |
823 | { | |
7984e5f7 | 824 | // |
825 | // Initialize the object | |
826 | // | |
827 | // Parameters: | |
828 | // etaAxis Eta axis to use | |
829 | // | |
7e4038b5 | 830 | fFMD1i = Make(1, 'I', etaAxis); |
831 | fFMD2i = Make(2, 'I', etaAxis); | |
832 | fFMD2o = Make(2, 'O', etaAxis); | |
833 | fFMD3i = Make(3, 'I', etaAxis); | |
834 | fFMD3o = Make(3, 'O', etaAxis); | |
835 | } | |
836 | //____________________________________________________________________ | |
837 | void | |
838 | AliForwardUtil::Histos::Clear(Option_t* option) | |
839 | { | |
7984e5f7 | 840 | // |
841 | // Clear data | |
842 | // | |
843 | // Parameters: | |
844 | // option Not used | |
845 | // | |
422a78c8 | 846 | if (fFMD1i) fFMD1i->Reset(option); |
847 | if (fFMD2i) fFMD2i->Reset(option); | |
848 | if (fFMD2o) fFMD2o->Reset(option); | |
849 | if (fFMD3i) fFMD3i->Reset(option); | |
850 | if (fFMD3o) fFMD3o->Reset(option); | |
7e4038b5 | 851 | } |
852 | ||
853 | //____________________________________________________________________ | |
854 | TH2D* | |
855 | AliForwardUtil::Histos::Get(UShort_t d, Char_t r) const | |
856 | { | |
7984e5f7 | 857 | // |
858 | // Get the histogram for a particular detector,ring | |
859 | // | |
860 | // Parameters: | |
861 | // d Detector | |
862 | // r Ring | |
863 | // | |
864 | // Return: | |
865 | // Histogram for detector,ring or nul | |
866 | // | |
7e4038b5 | 867 | switch (d) { |
868 | case 1: return fFMD1i; | |
869 | case 2: return (r == 'I' || r == 'i' ? fFMD2i : fFMD2o); | |
870 | case 3: return (r == 'I' || r == 'i' ? fFMD3i : fFMD3o); | |
871 | } | |
872 | return 0; | |
873 | } | |
9d99b0dd | 874 | //==================================================================== |
875 | TList* | |
876 | AliForwardUtil::RingHistos::DefineOutputList(TList* d) const | |
877 | { | |
7984e5f7 | 878 | // |
879 | // Define the outout list in @a d | |
880 | // | |
881 | // Parameters: | |
882 | // d Where to put the output list | |
883 | // | |
884 | // Return: | |
885 | // Newly allocated TList object or null | |
886 | // | |
9d99b0dd | 887 | if (!d) return 0; |
888 | TList* list = new TList; | |
5bb5d1f6 | 889 | list->SetOwner(); |
9d99b0dd | 890 | list->SetName(fName.Data()); |
891 | d->Add(list); | |
892 | return list; | |
893 | } | |
894 | //____________________________________________________________________ | |
895 | TList* | |
fb3430ac | 896 | AliForwardUtil::RingHistos::GetOutputList(const TList* d) const |
9d99b0dd | 897 | { |
7984e5f7 | 898 | // |
899 | // Get our output list from the container @a d | |
900 | // | |
901 | // Parameters: | |
902 | // d where to get the output list from | |
903 | // | |
904 | // Return: | |
905 | // The found TList or null | |
906 | // | |
9d99b0dd | 907 | if (!d) return 0; |
908 | TList* list = static_cast<TList*>(d->FindObject(fName.Data())); | |
909 | return list; | |
910 | } | |
911 | ||
912 | //____________________________________________________________________ | |
913 | TH1* | |
fb3430ac | 914 | AliForwardUtil::RingHistos::GetOutputHist(const TList* d, const char* name) const |
9d99b0dd | 915 | { |
7984e5f7 | 916 | // |
917 | // Find a specific histogram in the source list @a d | |
918 | // | |
919 | // Parameters: | |
920 | // d (top)-container | |
921 | // name Name of histogram | |
922 | // | |
923 | // Return: | |
924 | // Found histogram or null | |
925 | // | |
9d99b0dd | 926 | return static_cast<TH1*>(d->FindObject(name)); |
927 | } | |
928 | ||
f53fb4f6 | 929 | //==================================================================== |
930 | AliForwardUtil::DebugGuard::DebugGuard(Int_t lvl, Int_t msgLvl, | |
931 | const char* format, ...) | |
932 | : fMsg("") | |
933 | { | |
934 | if (lvl < msgLvl) return; | |
935 | va_list ap; | |
936 | va_start(ap, format); | |
937 | static char buf[512]; | |
938 | Int_t n = gROOT->GetDirLevel() + 1; | |
939 | for (Int_t i = 0; i < n; i++) buf[i] = ' '; | |
940 | vsnprintf(&(buf[n]), 511-n, format, ap); | |
941 | buf[511] = '\0'; | |
942 | fMsg = buf; | |
943 | va_end(ap); | |
944 | Format(true); | |
945 | } | |
946 | //____________________________________________________________________ | |
947 | AliForwardUtil::DebugGuard::~DebugGuard() | |
948 | { | |
949 | if (fMsg.IsNull()) return; | |
950 | Format(false); | |
951 | } | |
952 | //____________________________________________________________________ | |
953 | void | |
954 | AliForwardUtil::DebugGuard::Format(bool in) | |
955 | { | |
956 | fMsg[0] = in ? '>' : '<'; | |
957 | AliLog::Debug(0, fMsg, "PWGLF-forward", "", "", "", 0); | |
958 | if (in) gROOT->IncreaseDirLevel(); | |
959 | else gROOT->DecreaseDirLevel(); | |
960 | } | |
961 | ||
962 | ||
963 | ||
7e4038b5 | 964 | // |
965 | // EOF | |
966 | // |