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7984e5f7 | 1 | // |
2 | // Utilities used in the forward multiplcity analysis | |
3 | // | |
4 | // | |
7e4038b5 | 5 | #include "AliForwardUtil.h" |
1ff25622 | 6 | //#include <ARVersion.h> |
9d99b0dd | 7 | #include <AliAnalysisManager.h> |
8 | #include "AliAODForwardMult.h" | |
9 | #include <AliLog.h> | |
10 | #include <AliInputEventHandler.h> | |
290052e7 | 11 | #include <AliAODInputHandler.h> |
12 | #include <AliAODHandler.h> | |
13 | #include <AliAODEvent.h> | |
9d99b0dd | 14 | #include <AliESDEvent.h> |
290052e7 | 15 | #include <AliAnalysisTaskSE.h> |
9d99b0dd | 16 | #include <AliPhysicsSelection.h> |
17 | #include <AliTriggerAnalysis.h> | |
18 | #include <AliMultiplicity.h> | |
241cca4d | 19 | #include <TParameter.h> |
7e4038b5 | 20 | #include <TH2D.h> |
9d99b0dd | 21 | #include <TH1I.h> |
7f759bb7 | 22 | #include <TF1.h> |
23 | #include <TFitResult.h> | |
7e4038b5 | 24 | #include <TMath.h> |
7f759bb7 | 25 | #include <TError.h> |
f53fb4f6 | 26 | #include <TROOT.h> |
a19faec0 | 27 | #define FIT_OPTIONS "RNS" |
7f759bb7 | 28 | |
1ff25622 | 29 | //==================================================================== |
30 | ULong_t AliForwardUtil::AliROOTRevision() | |
31 | { | |
32 | #ifdef ALIROOT_SVN_REVISION | |
33 | return ALIROOT_SVN_REVISION; | |
77f97e3f CHC |
34 | #elif defined(ALIROOT_REVISION) |
35 | static ULong_t ret = 0; | |
36 | if (ret != 0) return ret; | |
37 | ||
38 | // Select first 32bits of the 40byte long check-sum | |
39 | TString rev(ALIROOT_REVISION, 8); | |
40 | for (ULong_t i = 0; i < 8; i++) { | |
41 | ULong_t p = 0; | |
42 | switch (rev[i]) { | |
43 | case '0': p = 0; break; | |
44 | case '1': p = 1; break; | |
45 | case '2': p = 2; break; | |
46 | case '3': p = 3; break; | |
47 | case '4': p = 4; break; | |
48 | case '5': p = 5; break; | |
49 | case '6': p = 6; break; | |
50 | case '7': p = 7; break; | |
51 | case '8': p = 8; break; | |
52 | case '9': p = 9; break; | |
53 | case 'a': case 'A': p = 10; break; | |
54 | case 'b': case 'B': p = 11; break; | |
55 | case 'c': case 'C': p = 12; break; | |
56 | case 'd': case 'D': p = 13; break; | |
57 | case 'e': case 'E': p = 14; break; | |
58 | case 'f': case 'F': p = 15; break; | |
59 | } | |
60 | ret |= (p << (32-4*(i+1))); | |
61 | } | |
62 | return ret; | |
7095962e CHC |
63 | #else |
64 | return 0; | |
1ff25622 | 65 | #endif |
66 | } | |
67 | //____________________________________________________________________ | |
68 | ULong_t AliForwardUtil::AliROOTBranch() | |
69 | { | |
93a63fe1 | 70 | // Do something here when we switch to git - sigh! |
77f97e3f CHC |
71 | #if !defined(ALIROOT_SVN_BRANCH) && !defined(ALIROOT_BRANCH) |
72 | return 0; | |
73 | #endif | |
1ff25622 | 74 | static ULong_t ret = 0; |
75 | if (ret != 0) return ret; | |
77f97e3f CHC |
76 | TString str; |
77 | TString top; | |
78 | #ifdef ALIROOT_SVN_BRANCH | |
79 | str = ALIROOT_SVN_BRANCH; | |
80 | top = "trunk"; | |
81 | #elif defined(ALIROOT_BRANCH) | |
82 | str = ALIROOT_BRANCH; | |
83 | top = "master"; | |
84 | #endif | |
1ff25622 | 85 | if (str[0] == 'v') str.Remove(0,1); |
77f97e3f | 86 | if (str.EqualTo(top)) return ret = 0xFFFFFFFF; |
1ff25622 | 87 | |
88 | TObjArray* tokens = str.Tokenize("-"); | |
89 | TObjString* pMajor = static_cast<TObjString*>(tokens->At(0)); | |
90 | TObjString* pMinor = static_cast<TObjString*>(tokens->At(1)); | |
1094d5dc | 91 | TObjString* pRelea = (tokens->GetEntries() > 2 ? |
92 | static_cast<TObjString*>(tokens->At(2)) : 0); | |
1ff25622 | 93 | TObjString* pAn = (tokens->GetEntries() > 3 ? |
94 | static_cast<TObjString*>(tokens->At(3)) : 0); | |
95 | TString sMajor = pMajor->String().Strip(TString::kLeading, '0'); | |
96 | TString sMinor = pMinor->String().Strip(TString::kLeading, '0'); | |
1094d5dc | 97 | TString sRelea = (pRelea ? pRelea->String() : ""); |
98 | sRelea = sRelea.Strip(TString::kLeading, '0'); | |
99 | ||
1ff25622 | 100 | ret = (((sMajor.Atoi() & 0xFF) << 12) | |
101 | ((sMinor.Atoi() & 0xFF) << 8) | | |
102 | ((sRelea.Atoi() & 0xFF) << 4) | | |
103 | (pAn ? 0xAA : 0)); | |
104 | ||
105 | return ret; | |
1ff25622 | 106 | } |
107 | ||
0bd4b00f | 108 | //==================================================================== |
109 | UShort_t | |
110 | AliForwardUtil::ParseCollisionSystem(const char* sys) | |
111 | { | |
7984e5f7 | 112 | // |
113 | // Parse a collision system spec given in a string. Known values are | |
114 | // | |
0151a6c6 | 115 | // - "ppb", "p-pb", "pa", "p-a" which returns kPPb |
116 | // - "pp", "p-p" which returns kPP | |
117 | // - "PbPb", "Pb-Pb", "A-A", which returns kPbPb | |
7984e5f7 | 118 | // - Everything else gives kUnknown |
119 | // | |
120 | // Parameters: | |
121 | // sys Collision system spec | |
122 | // | |
123 | // Return: | |
124 | // Collision system id | |
125 | // | |
0bd4b00f | 126 | TString s(sys); |
127 | s.ToLower(); | |
0151a6c6 | 128 | // we do pA first to avoid pp catch on ppb string (AH) |
129 | if (s.Contains("p-pb") || s.Contains("ppb")) return AliForwardUtil::kPPb; | |
130 | if (s.Contains("p-a") || s.Contains("pa")) return AliForwardUtil::kPPb; | |
d4d486f8 | 131 | if (s.Contains("a-p") || s.Contains("ap")) return AliForwardUtil::kPPb; |
0151a6c6 | 132 | if (s.Contains("p-p") || s.Contains("pp")) return AliForwardUtil::kPP; |
133 | if (s.Contains("pb-pb") || s.Contains("pbpb")) return AliForwardUtil::kPbPb; | |
134 | if (s.Contains("a-a") || s.Contains("aa")) return AliForwardUtil::kPbPb; | |
0bd4b00f | 135 | return AliForwardUtil::kUnknown; |
136 | } | |
137 | //____________________________________________________________________ | |
138 | const char* | |
139 | AliForwardUtil::CollisionSystemString(UShort_t sys) | |
140 | { | |
7984e5f7 | 141 | // |
142 | // Get a string representation of the collision system | |
143 | // | |
144 | // Parameters: | |
145 | // sys Collision system | |
146 | // - kPP -> "pp" | |
147 | // - kPbPb -> "PbPb" | |
148 | // - anything else gives "unknown" | |
149 | // | |
150 | // Return: | |
151 | // String representation of the collision system | |
152 | // | |
0bd4b00f | 153 | switch (sys) { |
154 | case AliForwardUtil::kPP: return "pp"; | |
155 | case AliForwardUtil::kPbPb: return "PbPb"; | |
0151a6c6 | 156 | case AliForwardUtil::kPPb: return "pPb"; |
0bd4b00f | 157 | } |
158 | return "unknown"; | |
159 | } | |
38229ecd | 160 | //____________________________________________________________________ |
161 | Float_t | |
162 | AliForwardUtil::BeamRapidity(Float_t beam, UShort_t z, UShort_t a) | |
163 | { | |
164 | const Double_t pMass = 9.38271999999999995e-01; | |
165 | const Double_t nMass = 9.39564999999999984e-01; | |
166 | Double_t beamE = z * beam / 2; | |
167 | Double_t beamM = z * pMass + (a - z) * nMass; | |
168 | Double_t beamP = TMath::Sqrt(beamE * beamE - beamM * beamM); | |
169 | Double_t beamY = .5* TMath::Log((beamE+beamP) / (beamE-beamP)); | |
170 | return beamY; | |
171 | } | |
172 | //____________________________________________________________________ | |
173 | Float_t | |
174 | AliForwardUtil::CenterOfMassEnergy(Float_t beam, | |
175 | UShort_t z1, | |
176 | UShort_t a1, | |
177 | Short_t z2, | |
178 | Short_t a2) | |
179 | { | |
180 | // Calculate the center of mass energy given target/projectile | |
181 | // mass and charge numbers | |
182 | if (z2 < 0) z2 = z1; | |
183 | if (a2 < 0) a2 = a1; | |
184 | return TMath::Sqrt(Float_t(z1*z2)/a1/a2) * beam; | |
185 | } | |
186 | //____________________________________________________________________ | |
187 | Float_t | |
188 | AliForwardUtil::CenterOfMassRapidity(UShort_t z1, | |
189 | UShort_t a1, | |
190 | Short_t z2, | |
191 | Short_t a2) | |
192 | { | |
193 | // Calculate the center of mass rapidity (shift) given target/projectile | |
194 | // mass and charge numbers | |
195 | if (z2 < 0) z2 = z1; | |
196 | if (a2 < 0) a2 = a1; | |
197 | if (z2 == z1 && a2 == a1) return 0; | |
198 | return .5 * TMath::Log(Float_t(z1*a2)/z2/a1); | |
199 | } | |
200 | ||
4dcc6110 | 201 | namespace { |
202 | UShort_t CheckSNN(Float_t energy) | |
203 | { | |
204 | if (TMath::Abs(energy - 900.) < 10) return 900; | |
205 | if (TMath::Abs(energy - 2400.) < 10) return 2400; | |
206 | if (TMath::Abs(energy - 2760.) < 20) return 2760; | |
207 | if (TMath::Abs(energy - 4400.) < 10) return 4400; | |
208 | if (TMath::Abs(energy - 5022.) < 10) return 5023; | |
209 | if (TMath::Abs(energy - 5500.) < 40) return 5500; | |
210 | if (TMath::Abs(energy - 7000.) < 10) return 7000; | |
211 | if (TMath::Abs(energy - 8000.) < 10) return 8000; | |
212 | if (TMath::Abs(energy - 10000.) < 10) return 10000; | |
213 | if (TMath::Abs(energy - 14000.) < 10) return 14000; | |
214 | return 0; | |
215 | } | |
216 | } | |
0bd4b00f | 217 | //____________________________________________________________________ |
218 | UShort_t | |
38229ecd | 219 | AliForwardUtil::ParseCenterOfMassEnergy(UShort_t sys, Float_t beam) |
0bd4b00f | 220 | { |
7984e5f7 | 221 | // |
222 | // Parse the center of mass energy given as a float and return known | |
223 | // values as a unsigned integer | |
224 | // | |
225 | // Parameters: | |
38229ecd | 226 | // sys Collision system (needed for AA) |
227 | // beam Center of mass energy * total charge | |
7984e5f7 | 228 | // |
229 | // Return: | |
230 | // Center of mass energy per nucleon | |
231 | // | |
38229ecd | 232 | Float_t energy = beam; |
cc83fca2 | 233 | // Below no longer needed apparently |
234 | // if (sys == AliForwardUtil::kPbPb) energy = energy / 208 * 82; | |
38229ecd | 235 | if (sys == AliForwardUtil::kPPb) |
236 | energy = CenterOfMassEnergy(beam, 82, 208, 1, 1); | |
8449e3e0 | 237 | else if (sys == AliForwardUtil::kPbPb) |
238 | energy = CenterOfMassEnergy(beam, 82, 208, 82, 208); | |
4dcc6110 | 239 | UShort_t ret = CheckSNN(energy); |
240 | if (ret > 1) return ret; | |
241 | if (sys == AliForwardUtil::kPbPb || sys == AliForwardUtil::kPPb) { | |
242 | ret = CheckSNN(beam); | |
243 | } | |
244 | return ret; | |
0bd4b00f | 245 | } |
246 | //____________________________________________________________________ | |
247 | const char* | |
248 | AliForwardUtil::CenterOfMassEnergyString(UShort_t cms) | |
249 | { | |
7984e5f7 | 250 | // |
251 | // Get a string representation of the center of mass energy per nuclean | |
252 | // | |
253 | // Parameters: | |
254 | // cms Center of mass energy per nucleon | |
255 | // | |
256 | // Return: | |
257 | // String representation of the center of mass energy per nuclean | |
258 | // | |
0bd4b00f | 259 | return Form("%04dGeV", cms); |
260 | } | |
261 | //____________________________________________________________________ | |
262 | Short_t | |
263 | AliForwardUtil::ParseMagneticField(Float_t v) | |
264 | { | |
7984e5f7 | 265 | // |
266 | // Parse the magnetic field (in kG) as given by a floating point number | |
267 | // | |
268 | // Parameters: | |
269 | // field Magnetic field in kG | |
270 | // | |
271 | // Return: | |
272 | // Short integer value of magnetic field in kG | |
273 | // | |
0bd4b00f | 274 | if (TMath::Abs(v - 5.) < 1 ) return +5; |
275 | if (TMath::Abs(v + 5.) < 1 ) return -5; | |
276 | if (TMath::Abs(v) < 1) return 0; | |
277 | return 999; | |
278 | } | |
279 | //____________________________________________________________________ | |
280 | const char* | |
281 | AliForwardUtil::MagneticFieldString(Short_t f) | |
282 | { | |
7984e5f7 | 283 | // |
284 | // Get a string representation of the magnetic field | |
285 | // | |
286 | // Parameters: | |
287 | // field Magnetic field in kG | |
288 | // | |
289 | // Return: | |
290 | // String representation of the magnetic field | |
291 | // | |
0bd4b00f | 292 | return Form("%01dkG", f); |
293 | } | |
290052e7 | 294 | //_____________________________________________________________________ |
295 | AliAODEvent* AliForwardUtil::GetAODEvent(AliAnalysisTaskSE* task) | |
296 | { | |
297 | // Check if AOD is the output event | |
576472c1 | 298 | if (!task) ::Fatal("GetAODEvent", "Null task given, cannot do that"); |
299 | ||
290052e7 | 300 | AliAODEvent* ret = task->AODEvent(); |
301 | if (ret) return ret; | |
302 | ||
303 | // Check if AOD is the input event | |
304 | ret = dynamic_cast<AliAODEvent*>(task->InputEvent()); | |
305 | if (!ret) ::Warning("GetAODEvent", "No AOD event found"); | |
306 | ||
307 | return ret; | |
308 | } | |
309 | //_____________________________________________________________________ | |
310 | UShort_t AliForwardUtil::CheckForAOD() | |
311 | { | |
312 | AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager(); | |
313 | if (dynamic_cast<AliAODInputHandler*>(am->GetInputEventHandler())) { | |
671df6c9 | 314 | // ::Info("CheckForAOD", "Found AOD Input handler"); |
290052e7 | 315 | return 1; |
316 | } | |
317 | if (dynamic_cast<AliAODHandler*>(am->GetOutputEventHandler())) { | |
c8b1a7db | 318 | // ::Info("CheckForAOD", "Found AOD Output handler"); |
290052e7 | 319 | return 2; |
320 | } | |
321 | ||
322 | ::Warning("CheckForAOD", | |
323 | "Neither and input nor output AOD handler is specified"); | |
324 | return 0; | |
325 | } | |
326 | //_____________________________________________________________________ | |
327 | Bool_t AliForwardUtil::CheckForTask(const char* clsOrName, Bool_t cls) | |
328 | { | |
329 | AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager(); | |
330 | if (!cls) { | |
331 | AliAnalysisTask* t = am->GetTask(clsOrName); | |
332 | if (!t) { | |
333 | ::Warning("CheckForTask", "Task %s not found in manager", clsOrName); | |
334 | return false; | |
335 | } | |
336 | ::Info("CheckForTask", "Found task %s", clsOrName); | |
337 | return true; | |
338 | } | |
339 | TClass* dep = gROOT->GetClass(clsOrName); | |
340 | if (!dep) { | |
341 | ::Warning("CheckForTask", "Unknown class %s for needed task", clsOrName); | |
342 | return false; | |
343 | } | |
344 | TIter next(am->GetTasks()); | |
345 | TObject* o = 0; | |
346 | while ((o = next())) { | |
347 | if (o->IsA()->InheritsFrom(dep)) { | |
348 | ::Info("CheckForTask", "Found task of class %s: %s", | |
349 | clsOrName, o->GetName()); | |
350 | return true; | |
351 | } | |
352 | } | |
353 | ::Warning("CheckForTask", "No task of class %s was found", clsOrName); | |
354 | return false; | |
355 | } | |
356 | ||
241cca4d | 357 | //_____________________________________________________________________ |
358 | TObject* AliForwardUtil::MakeParameter(const Char_t* name, UShort_t value) | |
359 | { | |
360 | TParameter<int>* ret = new TParameter<int>(name, value); | |
8449e3e0 | 361 | ret->SetMergeMode('f'); |
241cca4d | 362 | ret->SetUniqueID(value); |
363 | return ret; | |
364 | } | |
365 | //_____________________________________________________________________ | |
366 | TObject* AliForwardUtil::MakeParameter(const Char_t* name, Int_t value) | |
367 | { | |
368 | TParameter<int>* ret = new TParameter<int>(name, value); | |
8449e3e0 | 369 | ret->SetMergeMode('f'); |
241cca4d | 370 | ret->SetUniqueID(value); |
371 | return ret; | |
372 | } | |
373 | //_____________________________________________________________________ | |
1ff25622 | 374 | TObject* AliForwardUtil::MakeParameter(const Char_t* name, ULong_t value) |
375 | { | |
376 | TParameter<Long_t>* ret = new TParameter<Long_t>(name, value); | |
8449e3e0 | 377 | ret->SetMergeMode('f'); |
1ff25622 | 378 | ret->SetUniqueID(value); |
379 | return ret; | |
380 | } | |
381 | //_____________________________________________________________________ | |
241cca4d | 382 | TObject* AliForwardUtil::MakeParameter(const Char_t* name, Double_t value) |
383 | { | |
384 | TParameter<double>* ret = new TParameter<double>(name, value); | |
1f7aa5c7 | 385 | // Float_t v = value; |
386 | // UInt_t* tmp = reinterpret_cast<UInt_t*>(&v); | |
8449e3e0 | 387 | ret->SetMergeMode('f'); |
1f7aa5c7 | 388 | // ret->SetUniqueID(*tmp); |
241cca4d | 389 | return ret; |
390 | } | |
391 | //_____________________________________________________________________ | |
392 | TObject* AliForwardUtil::MakeParameter(const Char_t* name, Bool_t value) | |
393 | { | |
394 | TParameter<bool>* ret = new TParameter<bool>(name, value); | |
8449e3e0 | 395 | ret->SetMergeMode('f'); |
241cca4d | 396 | ret->SetUniqueID(value); |
397 | return ret; | |
398 | } | |
399 | ||
400 | //_____________________________________________________________________ | |
401 | void AliForwardUtil::GetParameter(TObject* o, UShort_t& value) | |
402 | { | |
403 | if (!o) return; | |
1f7aa5c7 | 404 | TParameter<int>* p = static_cast<TParameter<int>*>(o); |
e65b8b56 | 405 | if (p->TestBit(BIT(19))) |
1f7aa5c7 | 406 | value = p->GetVal(); |
407 | else | |
408 | value = o->GetUniqueID(); | |
241cca4d | 409 | } |
410 | //_____________________________________________________________________ | |
411 | void AliForwardUtil::GetParameter(TObject* o, Int_t& value) | |
412 | { | |
413 | if (!o) return; | |
1f7aa5c7 | 414 | TParameter<int>* p = static_cast<TParameter<int>*>(o); |
e65b8b56 | 415 | if (p->TestBit(BIT(19))) |
1f7aa5c7 | 416 | value = p->GetVal(); |
417 | else | |
418 | value = o->GetUniqueID(); | |
241cca4d | 419 | } |
420 | //_____________________________________________________________________ | |
1ff25622 | 421 | void AliForwardUtil::GetParameter(TObject* o, ULong_t& value) |
422 | { | |
423 | if (!o) return; | |
1f7aa5c7 | 424 | TParameter<Long_t>* p = static_cast<TParameter<Long_t>*>(o); |
e65b8b56 | 425 | if (p->TestBit(BIT(19))) |
1f7aa5c7 | 426 | value = p->GetVal(); |
427 | else | |
428 | value = o->GetUniqueID(); | |
1ff25622 | 429 | } |
430 | //_____________________________________________________________________ | |
241cca4d | 431 | void AliForwardUtil::GetParameter(TObject* o, Double_t& value) |
432 | { | |
433 | if (!o) return; | |
1f7aa5c7 | 434 | TParameter<double>* p = static_cast<TParameter<double>*>(o); |
e65b8b56 | 435 | if (p->TestBit(BIT(19))) |
1f7aa5c7 | 436 | value = p->GetVal(); // o->GetUniqueID(); |
437 | else { | |
438 | UInt_t i = o->GetUniqueID(); | |
439 | Float_t v = *reinterpret_cast<Float_t*>(&i); | |
440 | value = v; | |
441 | } | |
241cca4d | 442 | } |
443 | //_____________________________________________________________________ | |
444 | void AliForwardUtil::GetParameter(TObject* o, Bool_t& value) | |
445 | { | |
446 | if (!o) return; | |
1f7aa5c7 | 447 | TParameter<bool>* p = static_cast<TParameter<bool>*>(o); |
e65b8b56 | 448 | if (p->TestBit(BIT(19))) |
1f7aa5c7 | 449 | value = p->GetVal(); // o->GetUniqueID(); |
450 | else | |
451 | value = o->GetUniqueID(); | |
241cca4d | 452 | } |
290052e7 | 453 | |
1f7aa5c7 | 454 | #if 0 |
6f4a5c0d | 455 | //_____________________________________________________________________ |
5ca83fee | 456 | Double_t AliForwardUtil::GetStripR(Char_t ring, UShort_t strip) |
6f4a5c0d | 457 | { |
1f7aa5c7 | 458 | // Get max R of ring |
459 | // | |
460 | // Optimized version that has a cache | |
461 | static TArrayD inner; | |
462 | static TArrayD outer; | |
463 | if (inner.GetSize() <= 0 || outer.GetSize() <= 0) { | |
464 | const Double_t minR[] = { 4.5213, 15.4 }; | |
465 | const Double_t maxR[] = { 17.2, 28.0 }; | |
466 | const Int_t nStr[] = { 512, 256 }; | |
467 | for (Int_t q = 0; q < 2; q++) { | |
468 | TArrayD& a = (q == 0 ? inner : outer); | |
469 | a.Set(nStr[q]); | |
470 | ||
471 | for (Int_t it = 0; it < nStr[q]; it++) { | |
472 | Double_t rad = maxR[q] - minR[q]; | |
473 | Double_t segment = rad / nStr[q]; | |
474 | Double_t r = minR[q] + segment*strip; | |
475 | a[it] = r; | |
476 | } | |
477 | } | |
478 | } | |
479 | if (ring == 'I' || ring == 'i') return inner.At(strip); | |
480 | return outer.At(strip); | |
481 | } | |
482 | #else | |
483 | //_____________________________________________________________________ | |
484 | Double_t AliForwardUtil::GetStripR(Char_t ring, UShort_t strip) | |
485 | { | |
486 | // Get max R of ring | |
487 | // | |
488 | // New implementation has only one branch | |
489 | const Double_t minR[] = { 4.5213, 15.4 }; | |
490 | const Double_t maxR[] = { 17.2, 28.0 }; | |
491 | const Int_t nStr[] = { 512, 256 }; | |
492 | ||
493 | Int_t q = (ring == 'I' || ring == 'i') ? 0 : 1; | |
494 | Double_t rad = maxR[q] - minR[q]; | |
495 | Double_t segment = rad / nStr[q]; | |
496 | Double_t r = minR[q] + segment*strip; | |
6f4a5c0d | 497 | |
5ca83fee | 498 | return r; |
499 | } | |
1f7aa5c7 | 500 | #endif |
5ca83fee | 501 | |
1f7aa5c7 | 502 | #if 1 |
503 | //_____________________________________________________________________ | |
504 | Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring, | |
505 | UShort_t sec, UShort_t strip, | |
506 | Double_t zvtx) | |
507 | { | |
508 | // Calculate eta from strip with vertex (redundant with | |
509 | // AliESDFMD::Eta but support displaced vertices) | |
510 | // | |
511 | // Slightly more optimized version that uses less branching | |
512 | ||
513 | // Get R of the strip | |
514 | Double_t r = GetStripR(ring, strip); | |
515 | Int_t hybrid = sec / 2; | |
516 | Int_t q = (ring == 'I' || ring == 'i') ? 0 : 1; | |
517 | ||
518 | const Double_t zs[][2] = { { 320.266, -999999 }, | |
519 | { 83.666, 74.966 }, | |
520 | { -63.066, -74.966 } }; | |
521 | if (det > 3 || zs[det-1][q] == -999999) return -999999; | |
522 | ||
523 | Double_t z = zs[det-1][q]; | |
524 | if ((hybrid % 2) == 0) z -= .5; | |
525 | ||
526 | Double_t theta = TMath::ATan2(r,z-zvtx); | |
527 | Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta)); | |
528 | ||
529 | return eta; | |
530 | } | |
531 | #else | |
5ca83fee | 532 | //_____________________________________________________________________ |
533 | Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring, | |
534 | UShort_t sec, UShort_t strip, | |
535 | Double_t zvtx) | |
536 | { | |
537 | // Calculate eta from strip with vertex (redundant with | |
538 | // AliESDFMD::Eta but support displaced vertices) | |
6f4a5c0d | 539 | |
5ca83fee | 540 | //Get max R of ring |
541 | Double_t r = GetStripR(ring, strip); | |
542 | Int_t hybrid = sec / 2; | |
543 | Bool_t inner = (ring == 'I' || ring == 'i'); | |
544 | Double_t z = 0; | |
1f7aa5c7 | 545 | |
546 | ||
6f4a5c0d | 547 | switch (det) { |
5ca83fee | 548 | case 1: z = 320.266; break; |
549 | case 2: z = (inner ? 83.666 : 74.966); break; | |
6f4a5c0d | 550 | case 3: z = (inner ? -63.066 : -74.966); break; |
551 | default: return -999999; | |
552 | } | |
553 | if ((hybrid % 2) == 0) z -= .5; | |
554 | ||
555 | Double_t theta = TMath::ATan2(r,z-zvtx); | |
556 | Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta)); | |
557 | ||
558 | return eta; | |
559 | } | |
1f7aa5c7 | 560 | #endif |
0bd4b00f | 561 | |
5ca83fee | 562 | //_____________________________________________________________________ |
563 | Double_t AliForwardUtil::GetPhiFromStrip(Char_t ring, UShort_t strip, | |
564 | Double_t phi, | |
565 | Double_t xvtx, Double_t yvtx) | |
566 | { | |
567 | // Calculate eta from strip with vertex (redundant with | |
568 | // AliESDFMD::Eta but support displaced vertices) | |
569 | ||
570 | // Unknown x,y -> no change | |
571 | if (yvtx > 999 || xvtx > 999) return phi; | |
572 | ||
573 | //Get max R of ring | |
574 | Double_t r = GetStripR(ring, strip); | |
575 | Double_t amp = TMath::Sqrt(xvtx*xvtx+yvtx*yvtx) / r; | |
576 | Double_t pha = (TMath::Abs(yvtx) < 1e-12 ? 0 : TMath::ATan2(xvtx, yvtx)); | |
577 | Double_t cha = amp * TMath::Cos(phi+pha); | |
578 | phi += cha; | |
579 | if (phi < 0) phi += TMath::TwoPi(); | |
580 | if (phi > TMath::TwoPi()) phi -= TMath::TwoPi(); | |
581 | return phi; | |
582 | } | |
c8b1a7db | 583 | //==================================================================== |
584 | TAxis* | |
585 | AliForwardUtil::MakeFullIpZAxis(Int_t nCenter) | |
77f97e3f CHC |
586 | { |
587 | TArrayD bins; | |
588 | MakeFullIpZAxis(nCenter, bins); | |
589 | TAxis* a = new TAxis(bins.GetSize()-1,bins.GetArray()); | |
590 | return a; | |
591 | } | |
592 | void | |
593 | AliForwardUtil::MakeFullIpZAxis(Int_t nCenter, TArrayD& bins) | |
c8b1a7db | 594 | { |
595 | // Custom vertex axis that will include satellite vertices | |
596 | // Satellite vertices are at k*37.5 where k=-10,-9,...,9,10 | |
597 | // Nominal vertices are usually in -10 to 10 and we should have | |
598 | // 10 bins in that range. That gives us a total of | |
599 | // | |
600 | // 10+10+10=30 bins | |
601 | // | |
602 | // or 31 bin boundaries | |
603 | if (nCenter % 2 == 1) | |
604 | // Number of central bins is odd - make it even | |
605 | nCenter--; | |
606 | const Double_t mCenter = 20; | |
607 | const Int_t nSat = 10; | |
608 | const Int_t nBins = 2*nSat + nCenter; | |
609 | const Int_t mBin = nBins / 2; | |
610 | Double_t dCenter = 2*mCenter / nCenter; | |
77f97e3f | 611 | bins.Set(nBins+1); |
c8b1a7db | 612 | bins[mBin] = 0; |
613 | for (Int_t i = 1; i <= nCenter/2; i++) { | |
614 | // Assign from the middle out | |
615 | Double_t v = i * dCenter; | |
616 | // Printf("Assigning +/-%7.2f to %3d/%3d", v,mBin-i,mBin+i); | |
617 | bins[mBin-i] = -v; | |
618 | bins[mBin+i] = +v; | |
619 | } | |
620 | for (Int_t i = 1; i <= nSat; i++) { | |
621 | Double_t v = (i+.5) * 37.5; | |
622 | Int_t o = nCenter/2+i; | |
623 | // Printf("Assigning +/-%7.2f to %3d/%3d", v,mBin-o,mBin+o); | |
624 | bins[mBin-o] = -v; | |
625 | bins[mBin+o] = +v; | |
626 | } | |
c8b1a7db | 627 | } |
77f97e3f CHC |
628 | void |
629 | AliForwardUtil::MakeLogScale(Int_t nBins, | |
630 | Int_t minOrder, | |
631 | Int_t maxOrder, | |
632 | TArrayD& bins) | |
633 | { | |
634 | Double_t dO = Double_t(maxOrder-minOrder) / nBins; | |
635 | bins.Set(nBins+1); | |
636 | for (Int_t i = 0; i <= nBins; i++) bins[i] = TMath::Power(10, i * dO); | |
637 | } | |
638 | ||
c8b1a7db | 639 | void |
640 | AliForwardUtil::PrintTask(const TObject& o) | |
641 | { | |
642 | Int_t ind = gROOT->GetDirLevel(); | |
643 | if (ind > 0) | |
644 | // Print indention | |
645 | std::cout << std::setfill(' ') << std::setw(ind) << " " << std::flush; | |
646 | ||
647 | TString t = TString::Format("%s %s", o.GetName(), o.ClassName()); | |
648 | const Int_t maxN = 75; | |
649 | std::cout << "--- " << t << " " << std::setfill('-') | |
650 | << std::setw(maxN-ind-5-t.Length()) << "-" << std::endl; | |
651 | } | |
652 | void | |
653 | AliForwardUtil::PrintName(const char* name) | |
654 | { | |
655 | Int_t ind = gROOT->GetDirLevel(); | |
656 | if (ind > 0) | |
657 | // Print indention | |
658 | std::cout << std::setfill(' ') << std::setw(ind) << " " << std::flush; | |
659 | ||
660 | // Now print field name | |
661 | const Int_t maxN = 29; | |
662 | Int_t width = maxN - ind; | |
663 | TString n(name); | |
664 | if (n.Length() > width-1) { | |
665 | // Truncate the string, and put in "..." | |
666 | n.Remove(width-4); | |
667 | n.Append("..."); | |
668 | } | |
669 | n.Append(":"); | |
670 | std::cout << std::setfill(' ') << std::left << std::setw(width) | |
671 | << n << std::right << std::flush; | |
672 | } | |
673 | void | |
674 | AliForwardUtil::PrintField(const char* name, const char* value, ...) | |
675 | { | |
676 | PrintName(name); | |
677 | ||
678 | // Now format the field value | |
679 | va_list ap; | |
680 | va_start(ap, value); | |
681 | static char buf[512]; | |
682 | vsnprintf(buf, 511, value, ap); | |
683 | buf[511] = '\0'; | |
684 | va_end(ap); | |
685 | ||
686 | std::cout << buf << std::endl; | |
687 | } | |
0bd4b00f | 688 | |
7f759bb7 | 689 | //==================================================================== |
a19faec0 | 690 | #if 0 // Moved to separate classes |
7f759bb7 | 691 | Int_t AliForwardUtil::fgConvolutionSteps = 100; |
692 | Double_t AliForwardUtil::fgConvolutionNSigma = 5; | |
693 | namespace { | |
7984e5f7 | 694 | // |
695 | // The shift of the most probable value for the ROOT function TMath::Landau | |
696 | // | |
7f759bb7 | 697 | const Double_t mpshift = -0.22278298; |
7984e5f7 | 698 | // |
699 | // Integration normalisation | |
700 | // | |
7f759bb7 | 701 | const Double_t invSq2pi = 1. / TMath::Sqrt(2*TMath::Pi()); |
702 | ||
7984e5f7 | 703 | // |
704 | // Utility function to use in TF1 defintition | |
705 | // | |
7f759bb7 | 706 | Double_t landauGaus1(Double_t* xp, Double_t* pp) |
707 | { | |
708 | Double_t x = xp[0]; | |
c389303e | 709 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; |
710 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
711 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
712 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
1174780f | 713 | Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN]; |
7f759bb7 | 714 | |
1174780f | 715 | return constant * AliForwardUtil::LandauGaus(x, delta, xi, sigma, sigmaN); |
7f759bb7 | 716 | } |
717 | ||
2e658fb9 | 718 | Double_t landauGausComposite(Double_t* xp, Double_t* pp) |
719 | { | |
720 | Double_t x = xp[0]; | |
721 | Double_t cP = pp[AliForwardUtil::ELossFitter::kC]; | |
722 | Double_t deltaP = pp[AliForwardUtil::ELossFitter::kDelta]; | |
723 | Double_t xiP = pp[AliForwardUtil::ELossFitter::kXi]; | |
724 | Double_t sigmaP = pp[AliForwardUtil::ELossFitter::kSigma]; | |
725 | Double_t cS = pp[AliForwardUtil::ELossFitter::kSigma+1]; | |
93a63fe1 | 726 | Double_t deltaS = deltaP; // pp[AliForwardUtil::ELossFitter::kSigma+2]; |
727 | Double_t xiS = pp[AliForwardUtil::ELossFitter::kSigma+2/*3*/]; | |
728 | Double_t sigmaS = sigmaP; // pp[AliForwardUtil::ELossFitter::kSigma+4]; | |
2e658fb9 | 729 | |
730 | return (cP * AliForwardUtil::LandauGaus(x,deltaP,xiP,sigmaP,0) + | |
731 | cS * AliForwardUtil::LandauGaus(x,deltaS,xiS,sigmaS,0)); | |
732 | } | |
733 | ||
7984e5f7 | 734 | // |
735 | // Utility function to use in TF1 defintition | |
736 | // | |
7f759bb7 | 737 | Double_t landauGausN(Double_t* xp, Double_t* pp) |
738 | { | |
739 | Double_t x = xp[0]; | |
c389303e | 740 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; |
741 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
742 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
743 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
1174780f | 744 | Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN]; |
c389303e | 745 | Int_t n = Int_t(pp[AliForwardUtil::ELossFitter::kN]); |
746 | Double_t* a = &(pp[AliForwardUtil::ELossFitter::kA]); | |
7f759bb7 | 747 | |
1174780f | 748 | return constant * AliForwardUtil::NLandauGaus(x, delta, xi, sigma, sigmaN, |
7f759bb7 | 749 | n, a); |
750 | } | |
7984e5f7 | 751 | // |
752 | // Utility function to use in TF1 defintition | |
753 | // | |
0bd4b00f | 754 | Double_t landauGausI(Double_t* xp, Double_t* pp) |
755 | { | |
756 | Double_t x = xp[0]; | |
757 | Double_t constant = pp[AliForwardUtil::ELossFitter::kC]; | |
758 | Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta]; | |
759 | Double_t xi = pp[AliForwardUtil::ELossFitter::kXi]; | |
760 | Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma]; | |
1174780f | 761 | Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN]; |
0bd4b00f | 762 | Int_t i = Int_t(pp[AliForwardUtil::ELossFitter::kN]); |
763 | ||
1174780f | 764 | return constant * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i); |
0bd4b00f | 765 | } |
7f759bb7 | 766 | |
767 | ||
768 | } | |
769 | //____________________________________________________________________ | |
770 | Double_t | |
771 | AliForwardUtil::Landau(Double_t x, Double_t delta, Double_t xi) | |
772 | { | |
7984e5f7 | 773 | // |
774 | // Calculate the shifted Landau | |
775 | // @f[ | |
776 | // f'_{L}(x;\Delta,\xi) = f_L(x;\Delta+0.22278298\xi) | |
777 | // @f] | |
778 | // | |
779 | // where @f$ f_{L}@f$ is the ROOT implementation of the Landau | |
780 | // distribution (known to have @f$ \Delta_{p}=-0.22278298@f$ for | |
781 | // @f$\Delta=0,\xi=1@f$. | |
782 | // | |
783 | // Parameters: | |
784 | // x Where to evaluate @f$ f'_{L}@f$ | |
785 | // delta Most probable value | |
786 | // xi The 'width' of the distribution | |
787 | // | |
788 | // Return: | |
789 | // @f$ f'_{L}(x;\Delta,\xi) @f$ | |
790 | // | |
a19faec0 | 791 | Double_t deltaP = delta - xi * mpshift; |
792 | return TMath::Landau(x, deltaP, xi, true); | |
7f759bb7 | 793 | } |
794 | //____________________________________________________________________ | |
795 | Double_t | |
796 | AliForwardUtil::LandauGaus(Double_t x, Double_t delta, Double_t xi, | |
1174780f | 797 | Double_t sigma, Double_t sigmaN) |
7f759bb7 | 798 | { |
7984e5f7 | 799 | // |
800 | // Calculate the value of a Landau convolved with a Gaussian | |
801 | // | |
802 | // @f[ | |
803 | // f(x;\Delta,\xi,\sigma') = \frac{1}{\sigma' \sqrt{2 \pi}} | |
804 | // \int_{-\infty}^{+\infty} d\Delta' f'_{L}(x;\Delta',\xi) | |
805 | // \exp{-\frac{(\Delta-\Delta')^2}{2\sigma'^2}} | |
806 | // @f] | |
807 | // | |
808 | // where @f$ f'_{L}@f$ is the Landau distribution, @f$ \Delta@f$ the | |
809 | // energy loss, @f$ \xi@f$ the width of the Landau, and | |
810 | // @f$ \sigma'^2=\sigma^2-\sigma_n^2 @f$. Here, @f$\sigma@f$ is the | |
811 | // variance of the Gaussian, and @f$\sigma_n@f$ is a parameter modelling | |
812 | // noise in the detector. | |
813 | // | |
814 | // Note that this function uses the constants fgConvolutionSteps and | |
815 | // fgConvolutionNSigma | |
816 | // | |
817 | // References: | |
818 | // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a> | |
819 | // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a> | |
820 | // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a> | |
821 | // | |
822 | // Parameters: | |
823 | // x where to evaluate @f$ f@f$ | |
824 | // delta @f$ \Delta@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$ | |
825 | // xi @f$ \xi@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$ | |
826 | // sigma @f$ \sigma@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$ | |
827 | // sigma_n @f$ \sigma_n@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$ | |
828 | // | |
829 | // Return: | |
830 | // @f$ f@f$ evaluated at @f$ x@f$. | |
831 | // | |
a19faec0 | 832 | if (xi <= 0) return 0; |
833 | ||
834 | Double_t deltaP = delta; // - sigma * sigmaShift; // + sigma * mpshift; | |
1174780f | 835 | Double_t sigma2 = sigmaN*sigmaN + sigma*sigma; |
836 | Double_t sigma1 = sigmaN == 0 ? sigma : TMath::Sqrt(sigma2); | |
7f759bb7 | 837 | Double_t xlow = x - fgConvolutionNSigma * sigma1; |
c389303e | 838 | Double_t xhigh = x + fgConvolutionNSigma * sigma1; |
7f759bb7 | 839 | Double_t step = (xhigh - xlow) / fgConvolutionSteps; |
840 | Double_t sum = 0; | |
841 | ||
842 | for (Int_t i = 0; i <= fgConvolutionSteps/2; i++) { | |
c389303e | 843 | Double_t x1 = xlow + (i - .5) * step; |
844 | Double_t x2 = xhigh - (i - .5) * step; | |
7f759bb7 | 845 | |
a19faec0 | 846 | //sum += TMath::Landau(x1, deltap, xi, kTRUE) * TMath::Gaus(x, x1, sigma1); |
847 | //sum += TMath::Landau(x2, deltap, xi, kTRUE) * TMath::Gaus(x, x2, sigma1); | |
848 | sum += Landau(x1, deltaP, xi) * TMath::Gaus(x, x1, sigma1); | |
849 | sum += Landau(x2, deltaP, xi) * TMath::Gaus(x, x2, sigma1); | |
7f759bb7 | 850 | } |
851 | return step * sum * invSq2pi / sigma1; | |
852 | } | |
853 | ||
a19faec0 | 854 | namespace { |
855 | const Double_t sigmaShift = 0.36390; // TMath::Log(TMath::Sqrt(2.)); | |
856 | double deltaSigmaShift(Int_t i, Double_t sigma) | |
857 | { | |
858 | return 0; // - sigma * sigmaShift; | |
859 | } | |
860 | void getIPars(Int_t i, Double_t& delta, Double_t& xi, Double_t& sigma) | |
861 | { | |
862 | Double_t dsig = deltaSigmaShift(i, sigma); | |
863 | if (i == 1) { | |
864 | delta += dsig; | |
865 | return; // { delta = delta + xi*mpshift; return; } // Do nothing | |
866 | } | |
867 | ||
868 | delta = i * (delta + xi * TMath::Log(i)) + dsig; | |
869 | xi = i * xi; | |
870 | sigma = TMath::Sqrt(Double_t(i)) * sigma; | |
871 | } | |
872 | } | |
873 | ||
874 | ||
0bd4b00f | 875 | //____________________________________________________________________ |
876 | Double_t | |
877 | AliForwardUtil::ILandauGaus(Double_t x, Double_t delta, Double_t xi, | |
1174780f | 878 | Double_t sigma, Double_t sigmaN, Int_t i) |
0bd4b00f | 879 | { |
7984e5f7 | 880 | // |
881 | // Evaluate | |
882 | // @f[ | |
883 | // f_i(x;\Delta,\xi,\sigma') = f(x;\Delta_i,\xi_i,\sigma_i') | |
884 | // @f] | |
885 | // corresponding to @f$ i@f$ particles i.e., with the substitutions | |
886 | // @f{eqnarray*}{ | |
887 | // \Delta \rightarrow \Delta_i &=& i(\Delta + \xi\log(i)) | |
888 | // \xi \rightarrow \xi_i &=& i \xi | |
889 | // \sigma \rightarrow \sigma_i &=& \sqrt{i}\sigma | |
890 | // \sigma'^2 \rightarrow \sigma_i'^2 &=& \sigma_n^2 + \sigma_i^2 | |
891 | // @f} | |
892 | // | |
893 | // Parameters: | |
894 | // x Where to evaluate | |
895 | // delta @f$ \Delta@f$ | |
896 | // xi @f$ \xi@f$ | |
897 | // sigma @f$ \sigma@f$ | |
898 | // sigma_n @f$ \sigma_n@f$ | |
899 | // i @f$ i @f$ | |
900 | // | |
901 | // Return: | |
902 | // @f$ f_i @f$ evaluated | |
903 | // | |
a19faec0 | 904 | Double_t deltaI = delta; |
905 | Double_t xiI = xi; | |
906 | Double_t sigmaI = sigma; | |
907 | getIPars(i, deltaI, xiI, sigmaI); | |
1174780f | 908 | if (sigmaI < 1e-10) { |
0bd4b00f | 909 | // Fall back to landau |
1174780f | 910 | return AliForwardUtil::Landau(x, deltaI, xiI); |
0bd4b00f | 911 | } |
1174780f | 912 | return AliForwardUtil::LandauGaus(x, deltaI, xiI, sigmaI, sigmaN); |
0bd4b00f | 913 | } |
914 | ||
915 | //____________________________________________________________________ | |
916 | Double_t | |
917 | AliForwardUtil::IdLandauGausdPar(Double_t x, | |
918 | UShort_t par, Double_t dPar, | |
919 | Double_t delta, Double_t xi, | |
1174780f | 920 | Double_t sigma, Double_t sigmaN, |
0bd4b00f | 921 | Int_t i) |
922 | { | |
7984e5f7 | 923 | // |
924 | // Numerically evaluate | |
925 | // @f[ | |
926 | // \left.\frac{\partial f_i}{\partial p_i}\right|_{x} | |
927 | // @f] | |
928 | // where @f$ p_i@f$ is the @f$ i^{\mbox{th}}@f$ parameter. The mapping | |
929 | // of the parameters is given by | |
930 | // | |
931 | // - 0: @f$\Delta@f$ | |
932 | // - 1: @f$\xi@f$ | |
933 | // - 2: @f$\sigma@f$ | |
934 | // - 3: @f$\sigma_n@f$ | |
935 | // | |
936 | // This is the partial derivative with respect to the parameter of | |
937 | // the response function corresponding to @f$ i@f$ particles i.e., | |
938 | // with the substitutions | |
939 | // @f[ | |
940 | // \Delta \rightarrow \Delta_i = i(\Delta + \xi\log(i)) | |
941 | // \xi \rightarrow \xi_i = i \xi | |
942 | // \sigma \rightarrow \sigma_i = \sqrt{i}\sigma | |
943 | // \sigma'^2 \rightarrow \sigma_i'^2 = \sigma_n^2 + \sigma_i^2 | |
944 | // @f] | |
945 | // | |
946 | // Parameters: | |
947 | // x Where to evaluate | |
948 | // ipar Parameter number | |
949 | // dp @f$ \epsilon\delta p_i@f$ for some value of @f$\epsilon@f$ | |
950 | // delta @f$ \Delta@f$ | |
951 | // xi @f$ \xi@f$ | |
952 | // sigma @f$ \sigma@f$ | |
953 | // sigma_n @f$ \sigma_n@f$ | |
954 | // i @f$ i@f$ | |
955 | // | |
956 | // Return: | |
957 | // @f$ f_i@f$ evaluated | |
958 | // | |
0bd4b00f | 959 | if (dPar == 0) return 0; |
960 | Double_t dp = dPar; | |
961 | Double_t d2 = dPar / 2; | |
1174780f | 962 | Double_t deltaI = i * (delta + xi * TMath::Log(i)); |
963 | Double_t xiI = i * xi; | |
0bd4b00f | 964 | Double_t si = TMath::Sqrt(Double_t(i)); |
1174780f | 965 | Double_t sigmaI = si*sigma; |
0bd4b00f | 966 | Double_t y1 = 0; |
967 | Double_t y2 = 0; | |
968 | Double_t y3 = 0; | |
969 | Double_t y4 = 0; | |
970 | switch (par) { | |
971 | case 0: | |
1174780f | 972 | y1 = ILandauGaus(x, deltaI+i*dp, xiI, sigmaI, sigmaN, i); |
973 | y2 = ILandauGaus(x, deltaI+i*d2, xiI, sigmaI, sigmaN, i); | |
974 | y3 = ILandauGaus(x, deltaI-i*d2, xiI, sigmaI, sigmaN, i); | |
975 | y4 = ILandauGaus(x, deltaI-i*dp, xiI, sigmaI, sigmaN, i); | |
0bd4b00f | 976 | break; |
977 | case 1: | |
1174780f | 978 | y1 = ILandauGaus(x, deltaI, xiI+i*dp, sigmaI, sigmaN, i); |
979 | y2 = ILandauGaus(x, deltaI, xiI+i*d2, sigmaI, sigmaN, i); | |
980 | y3 = ILandauGaus(x, deltaI, xiI-i*d2, sigmaI, sigmaN, i); | |
981 | y4 = ILandauGaus(x, deltaI, xiI-i*dp, sigmaI, sigmaN, i); | |
0bd4b00f | 982 | break; |
983 | case 2: | |
1174780f | 984 | y1 = ILandauGaus(x, deltaI, xiI, sigmaI+si*dp, sigmaN, i); |
985 | y2 = ILandauGaus(x, deltaI, xiI, sigmaI+si*d2, sigmaN, i); | |
986 | y3 = ILandauGaus(x, deltaI, xiI, sigmaI-si*d2, sigmaN, i); | |
987 | y4 = ILandauGaus(x, deltaI, xiI, sigmaI-si*dp, sigmaN, i); | |
0bd4b00f | 988 | break; |
989 | case 3: | |
1174780f | 990 | y1 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+dp, i); |
991 | y2 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+d2, i); | |
992 | y3 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-d2, i); | |
993 | y4 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-dp, i); | |
0bd4b00f | 994 | break; |
995 | default: | |
996 | return 0; | |
997 | } | |
998 | ||
999 | Double_t d0 = y1 - y4; | |
1000 | Double_t d1 = 2 * (y2 - y3); | |
1001 | ||
1002 | Double_t g = 1/(2*dp) * (4*d1 - d0) / 3; | |
1003 | ||
1004 | return g; | |
1005 | } | |
1006 | ||
7f759bb7 | 1007 | //____________________________________________________________________ |
1008 | Double_t | |
1009 | AliForwardUtil::NLandauGaus(Double_t x, Double_t delta, Double_t xi, | |
1174780f | 1010 | Double_t sigma, Double_t sigmaN, Int_t n, |
fb3430ac | 1011 | const Double_t* a) |
7f759bb7 | 1012 | { |
7984e5f7 | 1013 | // |
1014 | // Evaluate | |
1015 | // @f[ | |
1016 | // f_N(x;\Delta,\xi,\sigma') = \sum_{i=1}^N a_i f_i(x;\Delta,\xi,\sigma'a) | |
1017 | // @f] | |
1018 | // | |
1019 | // where @f$ f(x;\Delta,\xi,\sigma')@f$ is the convolution of a | |
1020 | // Landau with a Gaussian (see LandauGaus). Note that | |
1021 | // @f$ a_1 = 1@f$, @f$\Delta_i = i(\Delta_1 + \xi\log(i))@f$, | |
1022 | // @f$\xi_i=i\xi_1@f$, and @f$\sigma_i'^2 = \sigma_n^2 + i\sigma_1^2@f$. | |
1023 | // | |
1024 | // References: | |
1025 | // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a> | |
1026 | // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a> | |
1027 | // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a> | |
1028 | // | |
1029 | // Parameters: | |
1030 | // x Where to evaluate @f$ f_N@f$ | |
1031 | // delta @f$ \Delta_1@f$ | |
1032 | // xi @f$ \xi_1@f$ | |
1033 | // sigma @f$ \sigma_1@f$ | |
1034 | // sigma_n @f$ \sigma_n@f$ | |
1035 | // n @f$ N@f$ in the sum above. | |
1036 | // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for | |
1037 | // @f$ i > 1@f$ | |
1038 | // | |
1039 | // Return: | |
1040 | // @f$ f_N(x;\Delta,\xi,\sigma')@f$ | |
1041 | // | |
1174780f | 1042 | Double_t result = ILandauGaus(x, delta, xi, sigma, sigmaN, 1); |
0bd4b00f | 1043 | for (Int_t i = 2; i <= n; i++) |
1174780f | 1044 | result += a[i-2] * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i); |
7f759bb7 | 1045 | return result; |
1046 | } | |
0bd4b00f | 1047 | namespace { |
1048 | const Int_t kColors[] = { kRed+1, | |
1049 | kPink+3, | |
1050 | kMagenta+2, | |
1051 | kViolet+2, | |
1052 | kBlue+1, | |
1053 | kAzure+3, | |
1054 | kCyan+1, | |
1055 | kTeal+2, | |
1056 | kGreen+2, | |
1057 | kSpring+3, | |
1058 | kYellow+2, | |
1059 | kOrange+2 }; | |
1060 | } | |
1061 | ||
1062 | //____________________________________________________________________ | |
1063 | TF1* | |
1064 | AliForwardUtil::MakeNLandauGaus(Double_t c, | |
1065 | Double_t delta, Double_t xi, | |
1174780f | 1066 | Double_t sigma, Double_t sigmaN, Int_t n, |
fb3430ac | 1067 | const Double_t* a, |
0bd4b00f | 1068 | Double_t xmin, Double_t xmax) |
1069 | { | |
7984e5f7 | 1070 | // |
1071 | // Generate a TF1 object of @f$ f_N@f$ | |
1072 | // | |
1073 | // Parameters: | |
1074 | // c Constant | |
1075 | // delta @f$ \Delta@f$ | |
1076 | // xi @f$ \xi_1@f$ | |
1077 | // sigma @f$ \sigma_1@f$ | |
1078 | // sigma_n @f$ \sigma_n@f$ | |
1079 | // n @f$ N@f$ - how many particles to sum to | |
1080 | // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for | |
1081 | // @f$ i > 1@f$ | |
1082 | // xmin Least value of range | |
1083 | // xmax Largest value of range | |
1084 | // | |
1085 | // Return: | |
1086 | // Newly allocated TF1 object | |
1087 | // | |
0bd4b00f | 1088 | Int_t npar = AliForwardUtil::ELossFitter::kN+n; |
1089 | TF1* landaun = new TF1(Form("nlandau%d", n), &landauGausN,xmin,xmax,npar); | |
1090 | // landaun->SetLineStyle(((n-2) % 10)+2); // start at dashed | |
1091 | landaun->SetLineColor(kColors[((n-1) % 12)]); // start at red | |
1092 | landaun->SetLineWidth(2); | |
1093 | landaun->SetNpx(500); | |
1094 | landaun->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "N"); | |
1095 | ||
1096 | // Set the initial parameters from the seed fit | |
1097 | landaun->SetParameter(AliForwardUtil::ELossFitter::kC, c); | |
1098 | landaun->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta); | |
1099 | landaun->SetParameter(AliForwardUtil::ELossFitter::kXi, xi); | |
1100 | landaun->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma); | |
1174780f | 1101 | landaun->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN); |
0bd4b00f | 1102 | landaun->FixParameter(AliForwardUtil::ELossFitter::kN, n); |
1103 | ||
1104 | // Set the range and name of the scale parameters | |
1105 | for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit | |
1106 | landaun->SetParameter(AliForwardUtil::ELossFitter::kA+i-2, a[i-2]); | |
1107 | landaun->SetParName(AliForwardUtil::ELossFitter::kA+i-2, Form("a_{%d}", i)); | |
1108 | } | |
1109 | return landaun; | |
1110 | } | |
1111 | //____________________________________________________________________ | |
1112 | TF1* | |
1113 | AliForwardUtil::MakeILandauGaus(Double_t c, | |
1114 | Double_t delta, Double_t xi, | |
1174780f | 1115 | Double_t sigma, Double_t sigmaN, Int_t i, |
0bd4b00f | 1116 | Double_t xmin, Double_t xmax) |
1117 | { | |
7984e5f7 | 1118 | // |
1119 | // Generate a TF1 object of @f$ f_I@f$ | |
1120 | // | |
1121 | // Parameters: | |
1122 | // c Constant | |
1123 | // delta @f$ \Delta@f$ | |
1124 | // xi @f$ \xi_1@f$ | |
1125 | // sigma @f$ \sigma_1@f$ | |
1126 | // sigma_n @f$ \sigma_n@f$ | |
1127 | // i @f$ i@f$ - the number of particles | |
1128 | // xmin Least value of range | |
1129 | // xmax Largest value of range | |
1130 | // | |
1131 | // Return: | |
1132 | // Newly allocated TF1 object | |
1133 | // | |
0bd4b00f | 1134 | Int_t npar = AliForwardUtil::ELossFitter::kN+1; |
1135 | TF1* landaui = new TF1(Form("ilandau%d", i), &landauGausI,xmin,xmax,npar); | |
1136 | // landaui->SetLineStyle(((i-2) % 10)+2); // start at dashed | |
1137 | landaui->SetLineColor(kColors[((i-1) % 12)]); // start at red | |
1138 | landaui->SetLineWidth(1); | |
1139 | landaui->SetNpx(500); | |
1140 | landaui->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "i"); | |
1141 | ||
1142 | // Set the initial parameters from the seed fit | |
1143 | landaui->SetParameter(AliForwardUtil::ELossFitter::kC, c); | |
1144 | landaui->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta); | |
1145 | landaui->SetParameter(AliForwardUtil::ELossFitter::kXi, xi); | |
1146 | landaui->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma); | |
1174780f | 1147 | landaui->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN); |
0bd4b00f | 1148 | landaui->FixParameter(AliForwardUtil::ELossFitter::kN, i); |
1149 | ||
1150 | return landaui; | |
1151 | } | |
7f759bb7 | 1152 | |
1153 | //==================================================================== | |
1154 | AliForwardUtil::ELossFitter::ELossFitter(Double_t lowCut, | |
1155 | Double_t maxRange, | |
1156 | UShort_t minusBins) | |
1157 | : fLowCut(lowCut), fMaxRange(maxRange), fMinusBins(minusBins), | |
81775aba | 1158 | fFitResults(0), fFunctions(0), fDebug(false) |
7f759bb7 | 1159 | { |
7984e5f7 | 1160 | // |
1161 | // Constructor | |
1162 | // | |
1163 | // Parameters: | |
1164 | // lowCut Lower cut of spectrum - data below this cuts is ignored | |
1165 | // maxRange Maximum range to fit to | |
1166 | // minusBins The number of bins below maximum to use | |
1167 | // | |
7f759bb7 | 1168 | fFitResults.SetOwner(); |
1169 | fFunctions.SetOwner(); | |
1170 | } | |
1171 | //____________________________________________________________________ | |
1172 | AliForwardUtil::ELossFitter::~ELossFitter() | |
1173 | { | |
7984e5f7 | 1174 | // |
1175 | // Destructor | |
1176 | // | |
1177 | // | |
7f759bb7 | 1178 | fFitResults.Delete(); |
1179 | fFunctions.Delete(); | |
1180 | } | |
1181 | //____________________________________________________________________ | |
1182 | void | |
1183 | AliForwardUtil::ELossFitter::Clear() | |
1184 | { | |
7984e5f7 | 1185 | // |
1186 | // Clear internal arrays | |
1187 | // | |
1188 | // | |
7f759bb7 | 1189 | fFitResults.Clear(); |
1190 | fFunctions.Clear(); | |
1191 | } | |
a19faec0 | 1192 | namespace { |
1193 | void setParLimit(TF1* f, Int_t iPar, Bool_t debug, | |
1194 | Double_t test, Double_t low, Double_t high) | |
1195 | { | |
1196 | if (test >= low && test <= high) { | |
1197 | if (debug) | |
1198 | printf("Fit: Set par limits on %s: %f, %f\n", | |
1199 | f->GetParName(iPar), low, high); | |
1200 | f->SetParLimits(iPar, low, high); | |
1201 | } | |
1202 | } | |
1203 | } | |
1204 | ||
7f759bb7 | 1205 | //____________________________________________________________________ |
1206 | TF1* | |
1207 | AliForwardUtil::ELossFitter::Fit1Particle(TH1* dist, Double_t sigman) | |
1208 | { | |
7984e5f7 | 1209 | // |
1210 | // Fit a 1-particle signal to the passed energy loss distribution | |
1211 | // | |
1212 | // Note that this function clears the internal arrays first | |
1213 | // | |
1214 | // Parameters: | |
1215 | // dist Data to fit the function to | |
1216 | // sigman If larger than zero, the initial guess of the | |
1217 | // detector induced noise. If zero or less, then this | |
1218 | // parameter is ignored in the fit (fixed at 0) | |
1219 | // | |
1220 | // Return: | |
1221 | // The function fitted to the data | |
1222 | // | |
1223 | ||
7f759bb7 | 1224 | // Clear the cache |
1225 | Clear(); | |
1226 | ||
1227 | // Find the fit range | |
8449e3e0 | 1228 | // Find the fit range |
1229 | Int_t cutBin = TMath::Max(dist->GetXaxis()->FindBin(fLowCut),3); | |
1230 | Int_t maxBin = TMath::Min(dist->GetXaxis()->FindBin(fMaxRange), | |
1231 | dist->GetNbinsX()); | |
1232 | dist->GetXaxis()->SetRange(cutBin, maxBin); | |
1233 | // dist->GetXaxis()->SetRangeUser(fLowCut, fMaxRange); | |
7f759bb7 | 1234 | |
7f759bb7 | 1235 | // Get the bin with maximum |
2e658fb9 | 1236 | Int_t peakBin = dist->GetMaximumBin(); |
1237 | Double_t peakE = dist->GetBinLowEdge(peakBin); | |
a19faec0 | 1238 | Double_t rmsE = dist->GetRMS(); |
7f759bb7 | 1239 | |
1240 | // Get the low edge | |
8449e3e0 | 1241 | // dist->GetXaxis()->SetRangeUser(fLowCut, peakE); |
2e658fb9 | 1242 | Int_t minBin = peakBin - fMinusBins; // dist->GetMinimumBin(); |
7f759bb7 | 1243 | Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut); |
2e658fb9 | 1244 | Double_t maxE = dist->GetBinCenter(peakBin+2*fMinusBins); |
7f759bb7 | 1245 | |
2e658fb9 | 1246 | Int_t minEb = dist->GetXaxis()->FindBin(minE); |
1247 | Int_t maxEb = dist->GetXaxis()->FindBin(maxE); | |
1248 | Double_t intg = dist->Integral(minEb, maxEb); | |
1249 | if (intg <= 0) { | |
1250 | ::Warning("Fit1Particle", | |
1251 | "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0", | |
1252 | dist->GetName(), minE, maxE, minEb, maxEb, intg); | |
1253 | return 0; | |
1254 | } | |
1255 | ||
7f759bb7 | 1256 | // Restore the range |
8449e3e0 | 1257 | dist->GetXaxis()->SetRange(1, maxBin); |
7f759bb7 | 1258 | |
1259 | // Define the function to fit | |
2e658fb9 | 1260 | TF1* landau1 = new TF1("landau1", landauGaus1, minE,maxE,kSigmaN+1); |
7f759bb7 | 1261 | |
1262 | // Set initial guesses, parameter names, and limits | |
a19faec0 | 1263 | landau1->SetParameters(intg,peakE,peakE/10,peakE/5,sigman); |
7f759bb7 | 1264 | landau1->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}"); |
c389303e | 1265 | landau1->SetNpx(500); |
a19faec0 | 1266 | setParLimit(landau1, kDelta, fDebug, peakE, minE, fMaxRange); |
1267 | setParLimit(landau1, kXi, fDebug, peakE, 0, rmsE); // 0.1 | |
1268 | setParLimit(landau1, kSigma, fDebug, peakE/5, 1e-5, rmsE); // 0.1 | |
c389303e | 1269 | if (sigman <= 0) landau1->FixParameter(kSigmaN, 0); |
a19faec0 | 1270 | else |
1271 | setParLimit(landau1, kSigmaN, fDebug, peakE, 0, rmsE); | |
1272 | ||
7f759bb7 | 1273 | |
a19faec0 | 1274 | TString opts(Form("%s%s", FIT_OPTIONS, fDebug ? "" : "Q")); |
7f759bb7 | 1275 | // Do the fit, getting the result object |
81775aba | 1276 | if (fDebug) |
1277 | ::Info("Fit1Particle", "Fitting in the range %f,%f", minE, maxE); | |
a19faec0 | 1278 | TFitResultPtr r = dist->Fit(landau1, opts, "", minE, maxE); |
93a63fe1 | 1279 | if (!r.Get()) { |
1280 | ::Warning("Fit1Particle", | |
1281 | "No fit returned when processing %s in the range [%f,%f] " | |
1282 | "options %s", dist->GetName(), minE, maxE, FIT_OPTIONS); | |
1283 | return 0; | |
1284 | } | |
2e658fb9 | 1285 | // landau1->SetRange(minE, fMaxRange); |
7f759bb7 | 1286 | fFitResults.AddAtAndExpand(new TFitResult(*r), 0); |
1287 | fFunctions.AddAtAndExpand(landau1, 0); | |
1288 | ||
1289 | return landau1; | |
1290 | } | |
1291 | //____________________________________________________________________ | |
1292 | TF1* | |
1293 | AliForwardUtil::ELossFitter::FitNParticle(TH1* dist, UShort_t n, | |
1294 | Double_t sigman) | |
1295 | { | |
7984e5f7 | 1296 | // |
1297 | // Fit a N-particle signal to the passed energy loss distribution | |
1298 | // | |
1299 | // If there's no 1-particle fit present, it does that first | |
1300 | // | |
1301 | // Parameters: | |
1302 | // dist Data to fit the function to | |
1303 | // n Number of particle signals to fit | |
1304 | // sigman If larger than zero, the initial guess of the | |
1305 | // detector induced noise. If zero or less, then this | |
1306 | // parameter is ignored in the fit (fixed at 0) | |
1307 | // | |
1308 | // Return: | |
1309 | // The function fitted to the data | |
1310 | // | |
1311 | ||
7f759bb7 | 1312 | // Get the seed fit result |
1313 | TFitResult* r = static_cast<TFitResult*>(fFitResults.At(0)); | |
1314 | TF1* f = static_cast<TF1*>(fFunctions.At(0)); | |
1315 | if (!r || !f) { | |
1316 | f = Fit1Particle(dist, sigman); | |
1317 | r = static_cast<TFitResult*>(fFitResults.At(0)); | |
1318 | if (!r || !f) { | |
1319 | ::Warning("FitNLandau", "No first shot at landau fit"); | |
1320 | return 0; | |
1321 | } | |
1322 | } | |
1323 | ||
1324 | // Get some parameters from seed fit | |
c389303e | 1325 | Double_t delta1 = r->Parameter(kDelta); |
1326 | Double_t xi1 = r->Parameter(kXi); | |
7f759bb7 | 1327 | Double_t maxEi = n * (delta1 + xi1 * TMath::Log(n)) + 2 * n * xi1; |
1328 | Double_t minE = f->GetXmin(); | |
1329 | ||
2e658fb9 | 1330 | Int_t minEb = dist->GetXaxis()->FindBin(minE); |
1331 | Int_t maxEb = dist->GetXaxis()->FindBin(maxEi); | |
a19faec0 | 1332 | Double_t rmsE = dist->GetRMS(); |
2e658fb9 | 1333 | Double_t intg = dist->Integral(minEb, maxEb); |
1334 | if (intg <= 0) { | |
1335 | ::Warning("FitNParticle", | |
1336 | "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0", | |
1337 | dist->GetName(), minE, maxEi, minEb, maxEb, intg); | |
1338 | return 0; | |
1339 | } | |
1340 | ||
0bd4b00f | 1341 | // Array of weights |
1342 | TArrayD a(n-1); | |
1343 | for (UShort_t i = 2; i <= n; i++) | |
1344 | a.fArray[i-2] = (n == 2 ? 0.05 : 0.000001); | |
7f759bb7 | 1345 | // Make the fit function |
2e658fb9 | 1346 | TF1* landaun = MakeNLandauGaus(r->Parameter(kC), |
1347 | r->Parameter(kDelta), | |
1348 | r->Parameter(kXi), | |
1349 | r->Parameter(kSigma), | |
1350 | r->Parameter(kSigmaN), | |
1351 | n, a.fArray, minE, maxEi); | |
a19faec0 | 1352 | setParLimit(landaun, kDelta, fDebug, r->Parameter(kDelta), minE, fMaxRange); |
1353 | setParLimit(landaun, kXi, fDebug, r->Parameter(kXi), 0, rmsE); // 0.1 | |
1354 | setParLimit(landaun, kSigma, fDebug, r->Parameter(kSigma), 1e-5, rmsE); // 0.1 | |
c389303e | 1355 | if (sigman <= 0) landaun->FixParameter(kSigmaN, 0); |
a19faec0 | 1356 | else |
1357 | setParLimit(landaun, kSigmaN, fDebug, r->Parameter(kSigmaN), 0, rmsE); | |
7f759bb7 | 1358 | |
1359 | // Set the range and name of the scale parameters | |
1360 | for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit | |
a19faec0 | 1361 | setParLimit(landaun, kA+i-2, fDebug, a[i-2], 0, 1); |
7f759bb7 | 1362 | } |
1363 | ||
1364 | // Do the fit | |
a19faec0 | 1365 | TString opts(Form("%s%s", FIT_OPTIONS, fDebug ? "" : "Q")); |
81775aba | 1366 | if (fDebug) |
1367 | ::Info("FitNParticle", "Fitting in the range %f,%f (%d)", minE, maxEi, n); | |
a19faec0 | 1368 | TFitResultPtr tr = dist->Fit(landaun, opts, "", minE, maxEi); |
7f759bb7 | 1369 | |
2e658fb9 | 1370 | // landaun->SetRange(minE, fMaxRange); |
7f759bb7 | 1371 | fFitResults.AddAtAndExpand(new TFitResult(*tr), n-1); |
1372 | fFunctions.AddAtAndExpand(landaun, n-1); | |
1373 | ||
1374 | return landaun; | |
1375 | } | |
2e658fb9 | 1376 | //____________________________________________________________________ |
1377 | TF1* | |
1378 | AliForwardUtil::ELossFitter::FitComposite(TH1* dist, Double_t sigman) | |
1379 | { | |
1380 | // | |
1381 | // Fit a composite particle signal to the passed energy loss | |
a19faec0 | 1382 | // distribution // |
2e658fb9 | 1383 | // Parameters: |
1384 | // dist Data to fit the function to | |
1385 | // sigman If larger than zero, the initial guess of the | |
1386 | // detector induced noise. If zero or less, then this | |
1387 | // parameter is ignored in the fit (fixed at 0) | |
1388 | // | |
1389 | // Return: | |
1390 | // The function fitted to the data | |
1391 | // | |
1392 | ||
1393 | // Find the fit range | |
8449e3e0 | 1394 | Int_t cutBin = TMath::Max(dist->GetXaxis()->FindBin(fLowCut),3); |
1395 | Int_t maxBin = TMath::Min(dist->GetXaxis()->FindBin(fMaxRange), | |
1396 | dist->GetNbinsX()); | |
1397 | dist->GetXaxis()->SetRange(cutBin, maxBin); | |
2e658fb9 | 1398 | |
1399 | // Get the bin with maximum | |
1400 | Int_t peakBin = dist->GetMaximumBin(); | |
1401 | Double_t peakE = dist->GetBinLowEdge(peakBin); | |
1402 | ||
1403 | // Get the low edge | |
8449e3e0 | 1404 | // dist->GetXaxis()->SetRangeUser(fLowCut, peakE); |
2e658fb9 | 1405 | Int_t minBin = peakBin - fMinusBins; // dist->GetMinimumBin(); |
1406 | Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut); | |
1407 | Double_t maxE = dist->GetBinCenter(peakBin+2*fMinusBins); | |
1408 | ||
1409 | // Get the range in bins and the integral of that range | |
1410 | Int_t minEb = dist->GetXaxis()->FindBin(minE); | |
1411 | Int_t maxEb = dist->GetXaxis()->FindBin(maxE); | |
1412 | Double_t intg = dist->Integral(minEb, maxEb); | |
1413 | if (intg <= 0) { | |
1414 | ::Warning("Fit1Particle", | |
1415 | "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0", | |
1416 | dist->GetName(), minE, maxE, minEb, maxEb, intg); | |
1417 | return 0; | |
1418 | } | |
1419 | ||
1420 | // Restore the range | |
8449e3e0 | 1421 | dist->GetXaxis()->SetRange(1, maxBin); |
2e658fb9 | 1422 | |
1423 | // Define the function to fit | |
1424 | TF1* seed = new TF1("landauSeed", landauGaus1, minE,maxE,kSigmaN+1); | |
1425 | ||
1426 | // Set initial guesses, parameter names, and limits | |
1427 | seed->SetParameters(1,peakE,peakE/10,peakE/5,sigman); | |
1428 | seed->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}"); | |
1429 | seed->SetNpx(500); | |
1430 | seed->SetParLimits(kDelta, minE, fMaxRange); | |
8449e3e0 | 1431 | seed->SetParLimits(kXi, 0.00, 0.1); // Was fMaxRange - too wide |
1432 | seed->SetParLimits(kSigma, 1e-5, 0.1); // Was fMaxRange - too wide | |
2e658fb9 | 1433 | if (sigman <= 0) seed->FixParameter(kSigmaN, 0); |
1434 | else seed->SetParLimits(kSigmaN, 0, fMaxRange); | |
1435 | ||
1436 | // Do the fit, getting the result object | |
81775aba | 1437 | if (fDebug) |
1438 | ::Info("FitComposite", "Fitting seed in the range %f,%f", minE, maxE); | |
e65b8b56 | 1439 | /* TFitResultPtr r = */ dist->Fit(seed, FIT_OPTIONS, "", minE, maxE); |
2e658fb9 | 1440 | |
1441 | maxE = dist->GetXaxis()->GetXmax(); | |
93a63fe1 | 1442 | #if 1 |
1443 | TF1* comp = new TF1("composite", landauGausComposite, | |
1444 | minE, maxE, kSigma+1+2); | |
1445 | comp->SetParNames("C", "#Delta_{p}", "#xi", "#sigma", | |
1446 | "C#prime", "#xi#prime"); | |
1447 | comp->SetParameters(0.8 * seed->GetParameter(kC), // 0 Primary weight | |
1448 | seed->GetParameter(kDelta), // 1 Primary Delta | |
1449 | seed->GetParameter(kDelta)/10, // 2 primary Xi | |
1450 | seed->GetParameter(kDelta)/5, // 3 primary sigma | |
1451 | 1.20 * seed->GetParameter(kC), // 5 Secondary weight | |
1452 | seed->GetParameter(kXi)); // 7 secondary Xi | |
1453 | // comp->SetParLimits(kC, minE, fMaxRange); // C | |
1454 | comp->SetParLimits(kDelta, minE, fMaxRange); // Delta | |
1455 | comp->SetParLimits(kXi, 0.00, fMaxRange); // Xi | |
1456 | comp->SetParLimits(kSigma, 1e-5, fMaxRange); // Sigma | |
1457 | // comp->SetParLimits(kSigma+1, minE, fMaxRange); // C | |
1458 | comp->SetParLimits(kSigma+2, 0.00, fMaxRange); // Xi' | |
1459 | #else | |
2e658fb9 | 1460 | TF1* comp = new TF1("composite", landauGausComposite, |
1461 | minE, maxE, kSigma+1+4); | |
1462 | comp->SetParNames("C", "#Delta_{p}", "#xi", "#sigma", | |
1463 | "C#prime", "#Delta_{p}#prime", "#xi#prime", "#sigma#prim"); | |
1464 | comp->SetParameters(0.8 * seed->GetParameter(kC), // 0 Primary weight | |
1465 | seed->GetParameter(kDelta), // 1 Primary Delta | |
1466 | seed->GetParameter(kDelta)/10, // 2 primary Xi | |
1467 | seed->GetParameter(kDelta)/5, // 3 primary sigma | |
1468 | 1.20 * seed->GetParameter(kC), // 5 Secondary weight | |
1469 | seed->GetParameter(kDelta), // 6 secondary Delta | |
1470 | seed->GetParameter(kXi), // 7 secondary Xi | |
1471 | seed->GetParameter(kSigma)); // 8 secondary sigma | |
2e658fb9 | 1472 | // comp->SetParLimits(kC, minE, fMaxRange); // C |
1473 | comp->SetParLimits(kDelta, minE, fMaxRange); // Delta | |
1474 | comp->SetParLimits(kXi, 0.00, fMaxRange); // Xi | |
1475 | comp->SetParLimits(kSigma, 1e-5, fMaxRange); // Sigma | |
1476 | // comp->SetParLimits(kSigma+1, minE, fMaxRange); // C | |
1477 | comp->SetParLimits(kSigma+2, minE/10, fMaxRange); // Delta | |
1478 | comp->SetParLimits(kSigma+3, 0.00, fMaxRange); // Xi | |
1479 | comp->SetParLimits(kSigma+4, 1e-6, fMaxRange); // Sigma | |
93a63fe1 | 1480 | #endif |
2e658fb9 | 1481 | comp->SetLineColor(kRed+1); |
1482 | comp->SetLineWidth(3); | |
1483 | ||
1484 | // Do the fit, getting the result object | |
a19faec0 | 1485 | TString opts(Form("%s%s", FIT_OPTIONS, fDebug ? "" : "Q")); |
81775aba | 1486 | if (fDebug) |
1487 | ::Info("FitComposite", "Fitting composite in the range %f,%f", minE, maxE); | |
a19faec0 | 1488 | /* TFitResultPtr r = */ dist->Fit(comp, opts, "", minE, maxE); |
2e658fb9 | 1489 | |
1490 | #if 0 | |
1491 | TF1* part1 = static_cast<TF1*>(seed->Clone("part1")); | |
1492 | part1->SetLineColor(kGreen+1); | |
1493 | part1->SetLineWidth(4); | |
1494 | part1->SetRange(minE, maxE); | |
1495 | part1->SetParameters(comp->GetParameter(0), // C | |
1496 | comp->GetParameter(1), // Delta | |
1497 | comp->GetParameter(2), // Xi | |
1498 | comp->GetParameter(3), // sigma | |
1499 | 0); | |
1500 | part1->Save(minE,maxE,0,0,0,0); | |
1501 | dist->GetListOfFunctions()->Add(part1); | |
1502 | ||
1503 | TF1* part2 = static_cast<TF1*>(seed->Clone("part2")); | |
1504 | part2->SetLineColor(kBlue+1); | |
1505 | part2->SetLineWidth(4); | |
1506 | part2->SetRange(minE, maxE); | |
1507 | part2->SetParameters(comp->GetParameter(4), // C | |
1508 | comp->GetParameter(5), // Delta | |
1509 | comp->GetParameter(6), // Xi | |
1510 | comp->GetParameter(7), // sigma | |
1511 | 0); | |
1512 | part2->Save(minE,maxE,0,0,0,0); | |
1513 | dist->GetListOfFunctions()->Add(part2); | |
1514 | #endif | |
1515 | return comp; | |
1516 | } | |
a19faec0 | 1517 | #endif |
7e4038b5 | 1518 | |
1519 | //==================================================================== | |
1520 | AliForwardUtil::Histos::~Histos() | |
1521 | { | |
7984e5f7 | 1522 | // |
1523 | // Destructor | |
1524 | // | |
b7ab8a2c | 1525 | } |
1526 | ||
1527 | //____________________________________________________________________ | |
1528 | void | |
1529 | AliForwardUtil::Histos::Delete(Option_t* opt) | |
1530 | { | |
7e4038b5 | 1531 | if (fFMD1i) delete fFMD1i; |
1532 | if (fFMD2i) delete fFMD2i; | |
1533 | if (fFMD2o) delete fFMD2o; | |
1534 | if (fFMD3i) delete fFMD3i; | |
1535 | if (fFMD3o) delete fFMD3o; | |
b7ab8a2c | 1536 | fFMD1i = 0; |
1537 | fFMD2i = 0; | |
1538 | fFMD2o = 0; | |
1539 | fFMD3i = 0; | |
1540 | fFMD3o = 0; | |
1541 | TObject::Delete(opt); | |
7e4038b5 | 1542 | } |
1543 | ||
1544 | //____________________________________________________________________ | |
1545 | TH2D* | |
8449e3e0 | 1546 | AliForwardUtil::Histos::Make(UShort_t d, Char_t r, const TAxis& etaAxis) |
7e4038b5 | 1547 | { |
7984e5f7 | 1548 | // |
1549 | // Make a histogram | |
1550 | // | |
1551 | // Parameters: | |
1552 | // d Detector | |
1553 | // r Ring | |
1554 | // etaAxis Eta axis to use | |
1555 | // | |
1556 | // Return: | |
1557 | // Newly allocated histogram | |
1558 | // | |
7e4038b5 | 1559 | Int_t ns = (r == 'I' || r == 'i') ? 20 : 40; |
8449e3e0 | 1560 | TH2D* hist = 0; |
1561 | if (etaAxis.GetXbins() && etaAxis.GetXbins()->GetArray()) | |
1562 | hist = new TH2D(Form("FMD%d%c_cache", d, r), | |
1563 | Form("FMD%d%c cache", d, r), | |
1564 | etaAxis.GetNbins(), etaAxis.GetXbins()->GetArray(), | |
1565 | ns, 0, TMath::TwoPi()); | |
1566 | else | |
1567 | hist = new TH2D(Form("FMD%d%c_cache", d, r), | |
1568 | Form("FMD%d%c cache", d, r), | |
1569 | etaAxis.GetNbins(), etaAxis.GetXmin(), | |
1570 | etaAxis.GetXmax(), ns, 0, TMath::TwoPi()); | |
7e4038b5 | 1571 | hist->SetXTitle("#eta"); |
1572 | hist->SetYTitle("#phi [radians]"); | |
1573 | hist->SetZTitle("d^{2}N_{ch}/d#etad#phi"); | |
1574 | hist->Sumw2(); | |
1575 | hist->SetDirectory(0); | |
1576 | ||
1577 | return hist; | |
1578 | } | |
8449e3e0 | 1579 | //____________________________________________________________________ |
1580 | void | |
1581 | AliForwardUtil::Histos::RebinEta(TH2D* hist, const TAxis& etaAxis) | |
1582 | { | |
1583 | TAxis* xAxis = hist->GetXaxis(); | |
1584 | if (etaAxis.GetXbins() && etaAxis.GetXbins()->GetArray()) | |
1585 | xAxis->Set(etaAxis.GetNbins(), etaAxis.GetXbins()->GetArray()); | |
1586 | else | |
1587 | xAxis->Set(etaAxis.GetNbins(), etaAxis.GetXmin(), etaAxis.GetXmax()); | |
1588 | hist->Rebuild(); | |
1589 | } | |
1590 | ||
1591 | ||
7e4038b5 | 1592 | //____________________________________________________________________ |
1593 | void | |
1594 | AliForwardUtil::Histos::Init(const TAxis& etaAxis) | |
1595 | { | |
7984e5f7 | 1596 | // |
1597 | // Initialize the object | |
1598 | // | |
1599 | // Parameters: | |
1600 | // etaAxis Eta axis to use | |
1601 | // | |
7e4038b5 | 1602 | fFMD1i = Make(1, 'I', etaAxis); |
1603 | fFMD2i = Make(2, 'I', etaAxis); | |
1604 | fFMD2o = Make(2, 'O', etaAxis); | |
1605 | fFMD3i = Make(3, 'I', etaAxis); | |
1606 | fFMD3o = Make(3, 'O', etaAxis); | |
1607 | } | |
8449e3e0 | 1608 | //____________________________________________________________________ |
1609 | void | |
1610 | AliForwardUtil::Histos::ReInit(const TAxis& etaAxis) | |
1611 | { | |
1612 | // | |
1613 | // Initialize the object | |
1614 | // | |
1615 | // Parameters: | |
1616 | // etaAxis Eta axis to use | |
1617 | // | |
93a63fe1 | 1618 | if (!fFMD1i) fFMD1i = Make(1, 'i', etaAxis); else RebinEta(fFMD1i, etaAxis); |
1619 | if (!fFMD2i) fFMD2i = Make(2, 'i', etaAxis); else RebinEta(fFMD2i, etaAxis); | |
1620 | if (!fFMD2o) fFMD2o = Make(2, 'o', etaAxis); else RebinEta(fFMD2o, etaAxis); | |
1621 | if (!fFMD3i) fFMD3i = Make(3, 'i', etaAxis); else RebinEta(fFMD3i, etaAxis); | |
1622 | if (!fFMD3o) fFMD3o = Make(3, 'o', etaAxis); else RebinEta(fFMD3o, etaAxis); | |
8449e3e0 | 1623 | } |
1624 | ||
7e4038b5 | 1625 | //____________________________________________________________________ |
1626 | void | |
1627 | AliForwardUtil::Histos::Clear(Option_t* option) | |
1628 | { | |
7984e5f7 | 1629 | // |
1630 | // Clear data | |
1631 | // | |
1632 | // Parameters: | |
1633 | // option Not used | |
1634 | // | |
77f97e3f CHC |
1635 | if (fFMD1i) { fFMD1i->Reset(option); fFMD1i->ResetBit(kSkipRing); } |
1636 | if (fFMD2i) { fFMD2i->Reset(option); fFMD2i->ResetBit(kSkipRing); } | |
1637 | if (fFMD2o) { fFMD2o->Reset(option); fFMD2o->ResetBit(kSkipRing); } | |
1638 | if (fFMD3i) { fFMD3i->Reset(option); fFMD3i->ResetBit(kSkipRing); } | |
1639 | if (fFMD3o) { fFMD3o->Reset(option); fFMD3o->ResetBit(kSkipRing); } | |
7e4038b5 | 1640 | } |
1641 | ||
1642 | //____________________________________________________________________ | |
1643 | TH2D* | |
1644 | AliForwardUtil::Histos::Get(UShort_t d, Char_t r) const | |
1645 | { | |
7984e5f7 | 1646 | // |
1647 | // Get the histogram for a particular detector,ring | |
1648 | // | |
1649 | // Parameters: | |
1650 | // d Detector | |
1651 | // r Ring | |
1652 | // | |
1653 | // Return: | |
1654 | // Histogram for detector,ring or nul | |
1655 | // | |
7e4038b5 | 1656 | switch (d) { |
1657 | case 1: return fFMD1i; | |
1658 | case 2: return (r == 'I' || r == 'i' ? fFMD2i : fFMD2o); | |
1659 | case 3: return (r == 'I' || r == 'i' ? fFMD3i : fFMD3o); | |
1660 | } | |
1661 | return 0; | |
1662 | } | |
9d99b0dd | 1663 | //==================================================================== |
1664 | TList* | |
1665 | AliForwardUtil::RingHistos::DefineOutputList(TList* d) const | |
1666 | { | |
7984e5f7 | 1667 | // |
1668 | // Define the outout list in @a d | |
1669 | // | |
1670 | // Parameters: | |
1671 | // d Where to put the output list | |
1672 | // | |
1673 | // Return: | |
1674 | // Newly allocated TList object or null | |
1675 | // | |
9d99b0dd | 1676 | if (!d) return 0; |
1677 | TList* list = new TList; | |
5bb5d1f6 | 1678 | list->SetOwner(); |
9d99b0dd | 1679 | list->SetName(fName.Data()); |
1680 | d->Add(list); | |
1681 | return list; | |
1682 | } | |
1683 | //____________________________________________________________________ | |
1684 | TList* | |
fb3430ac | 1685 | AliForwardUtil::RingHistos::GetOutputList(const TList* d) const |
9d99b0dd | 1686 | { |
7984e5f7 | 1687 | // |
1688 | // Get our output list from the container @a d | |
1689 | // | |
1690 | // Parameters: | |
1691 | // d where to get the output list from | |
1692 | // | |
1693 | // Return: | |
1694 | // The found TList or null | |
1695 | // | |
9d99b0dd | 1696 | if (!d) return 0; |
1697 | TList* list = static_cast<TList*>(d->FindObject(fName.Data())); | |
1698 | return list; | |
1699 | } | |
1700 | ||
1701 | //____________________________________________________________________ | |
1702 | TH1* | |
fb3430ac | 1703 | AliForwardUtil::RingHistos::GetOutputHist(const TList* d, const char* name) const |
9d99b0dd | 1704 | { |
7984e5f7 | 1705 | // |
1706 | // Find a specific histogram in the source list @a d | |
1707 | // | |
1708 | // Parameters: | |
1709 | // d (top)-container | |
1710 | // name Name of histogram | |
1711 | // | |
1712 | // Return: | |
1713 | // Found histogram or null | |
1714 | // | |
9d99b0dd | 1715 | return static_cast<TH1*>(d->FindObject(name)); |
1716 | } | |
1717 | ||
f53fb4f6 | 1718 | //==================================================================== |
1719 | AliForwardUtil::DebugGuard::DebugGuard(Int_t lvl, Int_t msgLvl, | |
1720 | const char* format, ...) | |
1721 | : fMsg("") | |
1722 | { | |
1723 | if (lvl < msgLvl) return; | |
1724 | va_list ap; | |
1725 | va_start(ap, format); | |
81a9a914 | 1726 | Format(fMsg, format, ap); |
f53fb4f6 | 1727 | va_end(ap); |
81a9a914 | 1728 | Output(+1, fMsg); |
f53fb4f6 | 1729 | } |
1730 | //____________________________________________________________________ | |
1731 | AliForwardUtil::DebugGuard::~DebugGuard() | |
1732 | { | |
1733 | if (fMsg.IsNull()) return; | |
81a9a914 | 1734 | Output(-1, fMsg); |
1735 | } | |
1736 | //____________________________________________________________________ | |
1737 | void | |
1738 | AliForwardUtil::DebugGuard::Message(Int_t lvl, Int_t msgLvl, | |
1739 | const char* format, ...) | |
1740 | { | |
1741 | if (lvl < msgLvl) return; | |
1742 | TString msg; | |
1743 | va_list ap; | |
1744 | va_start(ap, format); | |
1745 | Format(msg, format, ap); | |
1746 | va_end(ap); | |
1747 | Output(0, msg); | |
1748 | } | |
1749 | ||
1750 | //____________________________________________________________________ | |
1751 | void | |
1752 | AliForwardUtil::DebugGuard::Format(TString& out, const char* format, va_list ap) | |
1753 | { | |
1754 | static char buf[512]; | |
1755 | Int_t n = gROOT->GetDirLevel() + 2; | |
1756 | for (Int_t i = 0; i < n; i++) buf[i] = ' '; | |
1757 | vsnprintf(&(buf[n]), 511-n, format, ap); | |
1758 | buf[511] = '\0'; | |
1759 | out = buf; | |
f53fb4f6 | 1760 | } |
1761 | //____________________________________________________________________ | |
1762 | void | |
81a9a914 | 1763 | AliForwardUtil::DebugGuard::Output(int in, TString& msg) |
f53fb4f6 | 1764 | { |
81a9a914 | 1765 | msg[0] = (in > 0 ? '>' : in < 0 ? '<' : '='); |
1766 | AliLog::Message(AliLog::kInfo, msg, 0, 0, "PWGLF/forward", 0, 0); | |
1767 | if (in > 0) gROOT->IncreaseDirLevel(); | |
1768 | else if (in < 0) gROOT->DecreaseDirLevel(); | |
f53fb4f6 | 1769 | } |
1770 | ||
1771 | ||
1772 | ||
7e4038b5 | 1773 | // |
1774 | // EOF | |
1775 | // |