1 | /* ======================================================================== *\
|
---|
2 | !
|
---|
3 | ! *
|
---|
4 | ! * This file is part of MARS, the MAGIC Analysis and Reconstruction
|
---|
5 | ! * Software. It is distributed to you in the hope that it can be a useful
|
---|
6 | ! * and timesaving tool in analysing Data of imaging Cerenkov telescopes.
|
---|
7 | ! * It is distributed WITHOUT ANY WARRANTY.
|
---|
8 | ! *
|
---|
9 | ! * Permission to use, copy, modify and distribute this software and its
|
---|
10 | ! * documentation for any purpose is hereby granted without fee,
|
---|
11 | ! * provided that the above copyright notice appear in all copies and
|
---|
12 | ! * that both that copyright notice and this permission notice appear
|
---|
13 | ! * in supporting documentation. It is provided "as is" without express
|
---|
14 | ! * or implied warranty.
|
---|
15 | ! *
|
---|
16 | !
|
---|
17 | !
|
---|
18 | ! Author(s): Markus Gaug 02/2004 <mailto:markus@ifae.es>
|
---|
19 | !
|
---|
20 | ! Copyright: MAGIC Software Development, 2000-2004
|
---|
21 | !
|
---|
22 | !
|
---|
23 | \* ======================================================================== */
|
---|
24 |
|
---|
25 | //////////////////////////////////////////////////////////////////////////////
|
---|
26 | //
|
---|
27 | // MHGausEvents
|
---|
28 | //
|
---|
29 | // A base class for events which are believed to follow a Gaussian distribution
|
---|
30 | // with time, e.g. calibration events, observables containing white noise, ...
|
---|
31 | //
|
---|
32 | // MHGausEvents derives from MH, thus all features of MH can be used by a class
|
---|
33 | // deriving from MHGausEvents, especially the filling functions.
|
---|
34 | //
|
---|
35 | // The central objects are:
|
---|
36 | //
|
---|
37 | // 1) The TH1F fHGausHist:
|
---|
38 | // ====================
|
---|
39 | //
|
---|
40 | // It is created with a default name and title and resides in directory NULL.
|
---|
41 | // - Any class deriving from MHGausEvents needs to apply a binning to fHGausHist
|
---|
42 | // (e.g. by setting the variables fNbins, fFirst, fLast and calling the function
|
---|
43 | // InitBins() or by directly calling fHGausHist.SetBins(..) )
|
---|
44 | // - The histogram is filled with the functions FillHist() or FillHistAndArray().
|
---|
45 | // - The histogram can be fitted with the function FitGaus(). This involves stripping
|
---|
46 | // of all zeros at the lower and upper end of the histogram and re-binning to
|
---|
47 | // a new number of bins, specified in the variable fBinsAfterStripping.
|
---|
48 | // - The fit result's probability is compared to a reference probability fProbLimit
|
---|
49 | // The NDF is compared to fNDFLimit and a check is made whether results are NaNs.
|
---|
50 | // Accordingly, a flag IsGausFitOK() is set.
|
---|
51 | // - One can repeat the fit within a given amount of sigmas from the previous mean
|
---|
52 | // (specified by the variables fPickupLimit and fBlackoutLimit) with the function RepeatFit()
|
---|
53 | // - One can completely skip the fitting to set mean, sigma and its errors directly
|
---|
54 | // from the histograms with the function BypassFit()
|
---|
55 | //
|
---|
56 | // 2) The TArrayF fEvents:
|
---|
57 | // ==========================
|
---|
58 | //
|
---|
59 | // It is created with 0 entries and not expanded unless FillArray() or FillHistAndArray()
|
---|
60 | // are called.
|
---|
61 | // - A first call to FillArray() or FillHistAndArray() initializes fEvents by default
|
---|
62 | // to 512 entries.
|
---|
63 | // - Any later call to FillArray() or FillHistAndArray() fills up the array.
|
---|
64 | // Reaching the limit, the array is expanded by a factor 2.
|
---|
65 | // - The array can be fourier-transformed into the array fPowerSpectrum.
|
---|
66 | // Note that any FFT accepts only number of events which are a power of 2.
|
---|
67 | // Thus, fEvents is cut to the next power of 2 smaller than its actual number of entries.
|
---|
68 | // Be aware that you might lose information at the end of your analysis.
|
---|
69 | // - Calling the function CreateFourierSpectrum() creates the array fPowerSpectrum
|
---|
70 | // and its projection fHPowerProbability which in turn is fit to an exponential.
|
---|
71 | // - The fit result's probability is compared to a referenc probability fProbLimit
|
---|
72 | // and accordingly the flag IsExpFitOK() is set.
|
---|
73 | // - The flag IsFourierSpectrumOK() is set accordingly to IsExpFitOK().
|
---|
74 | // Later, a closer check will be installed.
|
---|
75 | // - You can display all arrays by calls to: CreateGraphEvents() and
|
---|
76 | // CreateGraphPowerSpectrum() and successive calls to the corresponding Getters.
|
---|
77 | //
|
---|
78 | // To see an example, have a look at: Draw()
|
---|
79 | //
|
---|
80 | //////////////////////////////////////////////////////////////////////////////
|
---|
81 | #include "MHGausEvents.h"
|
---|
82 |
|
---|
83 | #include <TH1.h>
|
---|
84 | #include <TF1.h>
|
---|
85 | #include <TGraph.h>
|
---|
86 | #include <TPad.h>
|
---|
87 | #include <TVirtualPad.h>
|
---|
88 | #include <TCanvas.h>
|
---|
89 | #include <TStyle.h>
|
---|
90 |
|
---|
91 | #include "MFFT.h"
|
---|
92 | #include "MArray.h"
|
---|
93 |
|
---|
94 | #include "MH.h"
|
---|
95 |
|
---|
96 | #include "MLog.h"
|
---|
97 | #include "MLogManip.h"
|
---|
98 |
|
---|
99 | ClassImp(MHGausEvents);
|
---|
100 |
|
---|
101 | using namespace std;
|
---|
102 |
|
---|
103 | const Int_t MHGausEvents::fgBinsAfterStripping = 40;
|
---|
104 | const Float_t MHGausEvents::fgBlackoutLimit = 5.;
|
---|
105 | const Int_t MHGausEvents::fgNDFLimit = 2;
|
---|
106 | const Float_t MHGausEvents::fgPickupLimit = 5.;
|
---|
107 | const Float_t MHGausEvents::fgProbLimit = 0.001;
|
---|
108 | const Int_t MHGausEvents::fgPowerProbabilityBins = 20;
|
---|
109 | // --------------------------------------------------------------------------
|
---|
110 | //
|
---|
111 | // Default Constructor.
|
---|
112 | // Sets:
|
---|
113 | // - the default Probability Bins for fPowerProbabilityBins (fgPowerProbabilityBins)
|
---|
114 | // - the default Probability Limit for fProbLimit (fgProbLimit)
|
---|
115 | // - the default NDF Limit for fNDFLimit (fgNDFLimit)
|
---|
116 | // - the default number for fPickupLimit (fgPickupLimit)
|
---|
117 | // - the default number for fBlackoutLimit (fgBlackoutLimit)
|
---|
118 | // - the default number of bins after stripping for fBinsAfterStipping (fgBinsAfterStipping)
|
---|
119 | // - the default name of the fHGausHist ("HGausHist")
|
---|
120 | // - the default title of the fHGausHist ("Histogram of Events with Gaussian Distribution")
|
---|
121 | // - the default directory of the fHGausHist (NULL)
|
---|
122 | // - the default for fNbins (100)
|
---|
123 | // - the default for fFirst (0.)
|
---|
124 | // - the default for fLast (100.)
|
---|
125 | //
|
---|
126 | // Initializes:
|
---|
127 | // - fEvents to 0 entries
|
---|
128 | // - fHGausHist()
|
---|
129 | // - all other pointers to NULL
|
---|
130 | // - all variables to 0.
|
---|
131 | // - all flags to kFALSE
|
---|
132 | //
|
---|
133 | MHGausEvents::MHGausEvents(const char *name, const char *title)
|
---|
134 | : fEventFrequency(0), fHPowerProbability(NULL),
|
---|
135 | fPowerSpectrum(NULL),
|
---|
136 | fGraphEvents(NULL), fGraphPowerSpectrum(NULL),
|
---|
137 | fFGausFit(NULL), fFExpFit(NULL),
|
---|
138 | fFirst(0.), fLast(100.),
|
---|
139 | fNbins(100), fPixId(-1)
|
---|
140 | {
|
---|
141 |
|
---|
142 | fName = name ? name : "MHGausEvents";
|
---|
143 | fTitle = title ? title : "Events with expected Gaussian distributions";
|
---|
144 |
|
---|
145 | Clear();
|
---|
146 |
|
---|
147 | SetBinsAfterStripping();
|
---|
148 | SetBlackoutLimit();
|
---|
149 | SetNDFLimit();
|
---|
150 | SetPickupLimit();
|
---|
151 | SetPowerProbabilityBins();
|
---|
152 | SetProbLimit();
|
---|
153 |
|
---|
154 | fHGausHist.SetName("HGausHist");
|
---|
155 | fHGausHist.SetTitle("Histogram of Events with Gaussian Distribution");
|
---|
156 | // important, other ROOT will not draw the axes:
|
---|
157 | fHGausHist.UseCurrentStyle();
|
---|
158 | fHGausHist.SetDirectory(NULL);
|
---|
159 | }
|
---|
160 |
|
---|
161 |
|
---|
162 |
|
---|
163 | // --------------------------------------------------------------------------
|
---|
164 | //
|
---|
165 | // Default Destructor.
|
---|
166 | //
|
---|
167 | // Deletes (if Pointer is not NULL):
|
---|
168 | //
|
---|
169 | // - fHPowerProbability
|
---|
170 | // - fFGausFit
|
---|
171 | // - fFExpFit
|
---|
172 | // - fPowerSpectrum
|
---|
173 | // - fGraphEvents
|
---|
174 | // - fGraphPowerSpectrum
|
---|
175 | //
|
---|
176 | MHGausEvents::~MHGausEvents()
|
---|
177 | {
|
---|
178 |
|
---|
179 | // delete histograms
|
---|
180 | if (fHPowerProbability)
|
---|
181 | delete fHPowerProbability;
|
---|
182 |
|
---|
183 | // delete fits
|
---|
184 | if (fFGausFit)
|
---|
185 | delete fFGausFit;
|
---|
186 | if (fFExpFit)
|
---|
187 | delete fFExpFit;
|
---|
188 |
|
---|
189 | // delete arrays
|
---|
190 | if (fPowerSpectrum)
|
---|
191 | delete fPowerSpectrum;
|
---|
192 |
|
---|
193 | // delete graphs
|
---|
194 | if (fGraphEvents)
|
---|
195 | delete fGraphEvents;
|
---|
196 | if (fGraphPowerSpectrum)
|
---|
197 | delete fGraphPowerSpectrum;
|
---|
198 | }
|
---|
199 |
|
---|
200 | // --------------------------------------------------------------------------
|
---|
201 | //
|
---|
202 | // Default Clear(), can be overloaded.
|
---|
203 | //
|
---|
204 | // Sets:
|
---|
205 | // - all other pointers to NULL
|
---|
206 | // - all variables to 0., except fPixId to -1 and keep fEventFrequency
|
---|
207 | // - all flags to kFALSE
|
---|
208 | //
|
---|
209 | // Deletes (if not NULL):
|
---|
210 | // - all pointers
|
---|
211 | //
|
---|
212 | void MHGausEvents::Clear(Option_t *o)
|
---|
213 | {
|
---|
214 |
|
---|
215 | SetGausFitOK ( kFALSE );
|
---|
216 | SetExpFitOK ( kFALSE );
|
---|
217 | SetFourierSpectrumOK( kFALSE );
|
---|
218 | SetExcluded ( kFALSE );
|
---|
219 |
|
---|
220 | fMean = 0.;
|
---|
221 | fSigma = 0.;
|
---|
222 | fMeanErr = 0.;
|
---|
223 | fSigmaErr = 0.;
|
---|
224 | fProb = 0.;
|
---|
225 |
|
---|
226 | fCurrentSize = 0;
|
---|
227 | fPixId = -1;
|
---|
228 |
|
---|
229 | if (fHPowerProbability)
|
---|
230 | {
|
---|
231 | delete fHPowerProbability;
|
---|
232 | fHPowerProbability = NULL;
|
---|
233 | }
|
---|
234 |
|
---|
235 | // delete fits
|
---|
236 | if (fFGausFit)
|
---|
237 | {
|
---|
238 | delete fFGausFit;
|
---|
239 | fFGausFit = NULL;
|
---|
240 | }
|
---|
241 |
|
---|
242 | if (fFExpFit)
|
---|
243 | {
|
---|
244 | delete fFExpFit;
|
---|
245 | fFExpFit = NULL;
|
---|
246 | }
|
---|
247 |
|
---|
248 | // delete arrays
|
---|
249 | if (fPowerSpectrum)
|
---|
250 | {
|
---|
251 | delete fPowerSpectrum;
|
---|
252 | fPowerSpectrum = NULL;
|
---|
253 | }
|
---|
254 |
|
---|
255 | // delete graphs
|
---|
256 | if (fGraphEvents)
|
---|
257 | {
|
---|
258 | delete fGraphEvents;
|
---|
259 | fGraphEvents = NULL;
|
---|
260 | }
|
---|
261 |
|
---|
262 | if (fGraphPowerSpectrum)
|
---|
263 | {
|
---|
264 | delete fGraphPowerSpectrum;
|
---|
265 | fGraphPowerSpectrum = NULL;
|
---|
266 | }
|
---|
267 | }
|
---|
268 |
|
---|
269 |
|
---|
270 | // -----------------------------------------------------------------------------
|
---|
271 | //
|
---|
272 | // Bypasses the Gauss fit by taking mean and RMS from the histogram
|
---|
273 | //
|
---|
274 | // Errors are determined in the following way:
|
---|
275 | // MeanErr = RMS / Sqrt(entries)
|
---|
276 | // SigmaErr = RMS / (2.*Sqrt(entries) )
|
---|
277 | //
|
---|
278 | void MHGausEvents::BypassFit()
|
---|
279 | {
|
---|
280 |
|
---|
281 | const Stat_t entries = fHGausHist.GetEntries();
|
---|
282 |
|
---|
283 | if (entries <= 0.)
|
---|
284 | {
|
---|
285 | *fLog << warn << GetDescriptor()
|
---|
286 | << ": Cannot bypass fit. Number of entries smaller or equal 0 in pixel: " << fPixId << endl;
|
---|
287 | return;
|
---|
288 | }
|
---|
289 |
|
---|
290 | fMean = fHGausHist.GetMean();
|
---|
291 | fMeanErr = fHGausHist.GetRMS() / TMath::Sqrt(entries);
|
---|
292 | fSigma = fHGausHist.GetRMS() ;
|
---|
293 | fSigmaErr = fHGausHist.GetRMS() / TMath::Sqrt(entries) / 2.;
|
---|
294 | }
|
---|
295 |
|
---|
296 |
|
---|
297 |
|
---|
298 | // --------------------------------------------------------------------------
|
---|
299 | //
|
---|
300 | // - Set fPixId to id
|
---|
301 | //
|
---|
302 | // Add id to names and titles of:
|
---|
303 | // - fHGausHist
|
---|
304 | //
|
---|
305 | void MHGausEvents::ChangeHistId(const Int_t id)
|
---|
306 | {
|
---|
307 |
|
---|
308 | fPixId = id;
|
---|
309 |
|
---|
310 | fHGausHist.SetName( Form("%s%d", fHGausHist.GetName(), id));
|
---|
311 | fHGausHist.SetTitle( Form("%s%d", fHGausHist.GetTitle(), id));
|
---|
312 |
|
---|
313 | fName = Form("%s%d", fName.Data(), id);
|
---|
314 | fTitle = Form("%s%d", fTitle.Data(), id);
|
---|
315 |
|
---|
316 | }
|
---|
317 |
|
---|
318 | // -----------------------------------------------------------------------------
|
---|
319 | //
|
---|
320 | // Create the x-axis for the event graph
|
---|
321 | //
|
---|
322 | Float_t *MHGausEvents::CreateEventXaxis(Int_t n)
|
---|
323 | {
|
---|
324 |
|
---|
325 | Float_t *xaxis = new Float_t[n];
|
---|
326 |
|
---|
327 | if (fEventFrequency)
|
---|
328 | for (Int_t i=0;i<n;i++)
|
---|
329 | xaxis[i] = (Float_t)i/fEventFrequency;
|
---|
330 | else
|
---|
331 | for (Int_t i=0;i<n;i++)
|
---|
332 | xaxis[i] = (Float_t)i;
|
---|
333 |
|
---|
334 | return xaxis;
|
---|
335 |
|
---|
336 | }
|
---|
337 |
|
---|
338 |
|
---|
339 | // -------------------------------------------------------------------
|
---|
340 | //
|
---|
341 | // Create the fourier spectrum using the class MFFT.
|
---|
342 | // The result is projected into a histogram and fitted by an exponential
|
---|
343 | //
|
---|
344 | void MHGausEvents::CreateFourierSpectrum()
|
---|
345 | {
|
---|
346 |
|
---|
347 | if (fFExpFit)
|
---|
348 | return;
|
---|
349 |
|
---|
350 | if (fEvents.GetSize() < 8)
|
---|
351 | {
|
---|
352 | *fLog << warn << "Cannot create Fourier spectrum in pixel: " << fPixId
|
---|
353 | << ". Number of events smaller than 8 " << endl;
|
---|
354 | return;
|
---|
355 | }
|
---|
356 |
|
---|
357 |
|
---|
358 | //
|
---|
359 | // The number of entries HAS to be a potence of 2,
|
---|
360 | // so we can only cut out from the last potence of 2 to the rest.
|
---|
361 | // Another possibility would be to fill everything with
|
---|
362 | // zeros, but that gives a low frequency peak, which we would
|
---|
363 | // have to cut out later again.
|
---|
364 | //
|
---|
365 | // So, we have to live with the possibility that at the end
|
---|
366 | // of the calibration run, something has happened without noticing
|
---|
367 | // it...
|
---|
368 | //
|
---|
369 |
|
---|
370 | // This cuts only the non-used zero's, but MFFT will later cut the rest
|
---|
371 | MArray::StripZeros(fEvents);
|
---|
372 |
|
---|
373 | if (fEvents.GetSize() < 8)
|
---|
374 | {
|
---|
375 | *fLog << warn << "Cannot create Fourier spectrum. " << endl;
|
---|
376 | *fLog << warn << "Number of events (after stripping of zeros) is smaller than 8 "
|
---|
377 | << "in pixel: " << fPixId << endl;
|
---|
378 | return;
|
---|
379 | }
|
---|
380 |
|
---|
381 | MFFT fourier;
|
---|
382 |
|
---|
383 | fPowerSpectrum = fourier.PowerSpectrumDensity(&fEvents);
|
---|
384 | fHPowerProbability = ProjectArray(*fPowerSpectrum, fPowerProbabilityBins,
|
---|
385 | "PowerProbability",
|
---|
386 | "Probability of Power occurrance");
|
---|
387 | fHPowerProbability->SetXTitle("P(f)");
|
---|
388 | fHPowerProbability->SetDirectory(NULL);
|
---|
389 | //
|
---|
390 | // First guesses for the fit (should be as close to reality as possible,
|
---|
391 | //
|
---|
392 | const Double_t xmax = fHPowerProbability->GetXaxis()->GetXmax();
|
---|
393 |
|
---|
394 | fFExpFit = new TF1("FExpFit","exp([0]-[1]*x)",0.,xmax);
|
---|
395 |
|
---|
396 | const Double_t slope_guess = (TMath::Log(fHPowerProbability->GetEntries())+1.)/xmax;
|
---|
397 | const Double_t offset_guess = slope_guess*xmax;
|
---|
398 |
|
---|
399 | fFExpFit->SetParameters(offset_guess, slope_guess);
|
---|
400 | fFExpFit->SetParNames("Offset","Slope");
|
---|
401 | fFExpFit->SetParLimits(0,offset_guess/2.,2.*offset_guess);
|
---|
402 | fFExpFit->SetParLimits(1,slope_guess/1.5,1.5*slope_guess);
|
---|
403 | fFExpFit->SetRange(0.,xmax);
|
---|
404 |
|
---|
405 | fHPowerProbability->Fit(fFExpFit,"RQL0");
|
---|
406 |
|
---|
407 | if (GetExpProb() > fProbLimit)
|
---|
408 | SetExpFitOK(kTRUE);
|
---|
409 |
|
---|
410 | //
|
---|
411 | // For the moment, this is the only check, later we can add more...
|
---|
412 | //
|
---|
413 | SetFourierSpectrumOK(IsExpFitOK());
|
---|
414 |
|
---|
415 | return;
|
---|
416 | }
|
---|
417 |
|
---|
418 | // ----------------------------------------------------------------------------------
|
---|
419 | //
|
---|
420 | // Create a graph to display the array fEvents
|
---|
421 | // If the variable fEventFrequency is set, the x-axis is transformed into real time.
|
---|
422 | //
|
---|
423 | void MHGausEvents::CreateGraphEvents()
|
---|
424 | {
|
---|
425 |
|
---|
426 | MArray::StripZeros(fEvents);
|
---|
427 |
|
---|
428 | const Int_t n = fEvents.GetSize();
|
---|
429 |
|
---|
430 | fGraphEvents = new TGraph(n,CreateEventXaxis(n),fEvents.GetArray());
|
---|
431 | fGraphEvents->SetTitle("Evolution of Events with time");
|
---|
432 | fGraphEvents->GetXaxis()->SetTitle((fEventFrequency) ? "Time [s]" : "Event Nr.");
|
---|
433 | }
|
---|
434 |
|
---|
435 | // ----------------------------------------------------------------------------------
|
---|
436 | //
|
---|
437 | // Create a graph to display the array fPowerSpectrum
|
---|
438 | // If the variable fEventFrequency is set, the x-axis is transformed into real frequency.
|
---|
439 | //
|
---|
440 | void MHGausEvents::CreateGraphPowerSpectrum()
|
---|
441 | {
|
---|
442 |
|
---|
443 | MArray::StripZeros(*fPowerSpectrum);
|
---|
444 |
|
---|
445 | const Int_t n = fPowerSpectrum->GetSize();
|
---|
446 |
|
---|
447 | fGraphPowerSpectrum = new TGraph(n,CreatePSDXaxis(n),fPowerSpectrum->GetArray());
|
---|
448 | fGraphPowerSpectrum->SetTitle("Power Spectrum Density");
|
---|
449 | fGraphPowerSpectrum->GetXaxis()->SetTitle((fEventFrequency) ? "Frequency [Hz]" : "Frequency");
|
---|
450 | fGraphPowerSpectrum->GetYaxis()->SetTitle("P(f)");
|
---|
451 | }
|
---|
452 |
|
---|
453 |
|
---|
454 | // -----------------------------------------------------------------------------
|
---|
455 | //
|
---|
456 | // Create the x-axis for the event graph
|
---|
457 | //
|
---|
458 | Float_t *MHGausEvents::CreatePSDXaxis(Int_t n)
|
---|
459 | {
|
---|
460 |
|
---|
461 | Float_t *xaxis = new Float_t[n];
|
---|
462 |
|
---|
463 | if (fEventFrequency)
|
---|
464 | for (Int_t i=0;i<n;i++)
|
---|
465 | xaxis[i] = 0.5*(Float_t)i*fEventFrequency/n;
|
---|
466 | else
|
---|
467 | for (Int_t i=0;i<n;i++)
|
---|
468 | xaxis[i] = 0.5*(Float_t)i/n;
|
---|
469 |
|
---|
470 | return xaxis;
|
---|
471 |
|
---|
472 | }
|
---|
473 |
|
---|
474 | // -----------------------------------------------------------------------------
|
---|
475 | //
|
---|
476 | // Default draw:
|
---|
477 | //
|
---|
478 | // The following options can be chosen:
|
---|
479 | //
|
---|
480 | // "EVENTS": displays a TGraph of the array fEvents
|
---|
481 | // "FOURIER": display a TGraph of the fourier transform of fEvents
|
---|
482 | // displays the projection of the fourier transform with the fit
|
---|
483 | //
|
---|
484 | // The following picture shows a typical outcome of call to Draw("fourierevents"):
|
---|
485 | // - The first plot shows the distribution of the values with the Gauss fit
|
---|
486 | // (which did not succeed, in this case, for obvious reasons)
|
---|
487 | // - The second plot shows the TGraph with the events vs. time
|
---|
488 | // - The third plot shows the fourier transform and a small peak at about 85 Hz.
|
---|
489 | // - The fourth plot shows the projection of the fourier components and an exponential
|
---|
490 | // fit, with the result that the observed deviation is still statistical with a
|
---|
491 | // probability of 0.5%.
|
---|
492 | //
|
---|
493 | //Begin_Html
|
---|
494 | /*
|
---|
495 | <img src="images/MHGausEventsDraw.gif">
|
---|
496 | */
|
---|
497 | //End_Html
|
---|
498 | //
|
---|
499 | void MHGausEvents::Draw(const Option_t *opt)
|
---|
500 | {
|
---|
501 |
|
---|
502 | TVirtualPad *pad = gPad ? gPad : MH::MakeDefCanvas(this,600, 900);
|
---|
503 |
|
---|
504 | TString option(opt);
|
---|
505 | option.ToLower();
|
---|
506 |
|
---|
507 | Int_t win = 1;
|
---|
508 |
|
---|
509 | if (option.Contains("events"))
|
---|
510 | {
|
---|
511 | option.ReplaceAll("events","");
|
---|
512 | win += 1;
|
---|
513 | }
|
---|
514 | if (option.Contains("fourier"))
|
---|
515 | {
|
---|
516 | option.ReplaceAll("fourier","");
|
---|
517 | win += 2;
|
---|
518 | }
|
---|
519 |
|
---|
520 | pad->SetTicks();
|
---|
521 | pad->SetBorderMode(0);
|
---|
522 | pad->Divide(1,win);
|
---|
523 | pad->cd(1);
|
---|
524 |
|
---|
525 | if (!IsEmpty())
|
---|
526 | gPad->SetLogy();
|
---|
527 |
|
---|
528 | fHGausHist.Draw(opt);
|
---|
529 |
|
---|
530 | if (fFGausFit)
|
---|
531 | {
|
---|
532 | fFGausFit->SetLineColor(IsGausFitOK() ? kGreen : kRed);
|
---|
533 | fFGausFit->Draw("same");
|
---|
534 | }
|
---|
535 | switch (win)
|
---|
536 | {
|
---|
537 | case 2:
|
---|
538 | pad->cd(2);
|
---|
539 | DrawEvents();
|
---|
540 | break;
|
---|
541 | case 3:
|
---|
542 | pad->cd(2);
|
---|
543 | DrawPowerSpectrum(*pad,3);
|
---|
544 | break;
|
---|
545 | case 4:
|
---|
546 | pad->cd(2);
|
---|
547 | DrawEvents();
|
---|
548 | pad->cd(3);
|
---|
549 | DrawPowerSpectrum(*pad,4);
|
---|
550 | break;
|
---|
551 | }
|
---|
552 | }
|
---|
553 |
|
---|
554 | void MHGausEvents::DrawEvents()
|
---|
555 | {
|
---|
556 |
|
---|
557 | if (!fGraphEvents)
|
---|
558 | CreateGraphEvents();
|
---|
559 |
|
---|
560 | fGraphEvents->SetBit(kCanDelete);
|
---|
561 | fGraphEvents->SetTitle("Events with time");
|
---|
562 | fGraphEvents->Draw("AL");
|
---|
563 |
|
---|
564 | }
|
---|
565 |
|
---|
566 |
|
---|
567 | void MHGausEvents::DrawPowerSpectrum(TVirtualPad &pad, Int_t i)
|
---|
568 | {
|
---|
569 |
|
---|
570 | if (fPowerSpectrum)
|
---|
571 | {
|
---|
572 | if (!fGraphPowerSpectrum)
|
---|
573 | CreateGraphPowerSpectrum();
|
---|
574 |
|
---|
575 | fGraphPowerSpectrum->Draw("AL");
|
---|
576 | fGraphPowerSpectrum->SetBit(kCanDelete);
|
---|
577 | }
|
---|
578 |
|
---|
579 | pad.cd(i);
|
---|
580 |
|
---|
581 | if (fHPowerProbability && fHPowerProbability->GetEntries() > 0)
|
---|
582 | {
|
---|
583 | gPad->SetLogy();
|
---|
584 | fHPowerProbability->Draw();
|
---|
585 | if (fFExpFit)
|
---|
586 | {
|
---|
587 | fFExpFit->SetLineColor(IsExpFitOK() ? kGreen : kRed);
|
---|
588 | fFExpFit->Draw("same");
|
---|
589 | }
|
---|
590 | }
|
---|
591 | }
|
---|
592 |
|
---|
593 |
|
---|
594 | // --------------------------------------------------------------------------
|
---|
595 | //
|
---|
596 | // Fill fEvents with f
|
---|
597 | // If size of fEvents is 0, initializes it to 512
|
---|
598 | // If size of fEvents is smaller than fCurrentSize, double the size
|
---|
599 | // Increase fCurrentSize by 1
|
---|
600 | //
|
---|
601 | void MHGausEvents::FillArray(const Float_t f)
|
---|
602 | {
|
---|
603 | if (fEvents.GetSize() == 0)
|
---|
604 | fEvents.Set(512);
|
---|
605 |
|
---|
606 | if (fCurrentSize >= fEvents.GetSize())
|
---|
607 | fEvents.Set(fEvents.GetSize()*2);
|
---|
608 |
|
---|
609 | fEvents.AddAt(f,fCurrentSize++);
|
---|
610 | }
|
---|
611 |
|
---|
612 |
|
---|
613 | // --------------------------------------------------------------------------
|
---|
614 | //
|
---|
615 | // Fills fHGausHist with f
|
---|
616 | // Returns kFALSE, if overflow or underflow occurred, else kTRUE
|
---|
617 | //
|
---|
618 | Bool_t MHGausEvents::FillHist(const Float_t f)
|
---|
619 | {
|
---|
620 | return fHGausHist.Fill(f) > -1;
|
---|
621 | }
|
---|
622 |
|
---|
623 | // --------------------------------------------------------------------------
|
---|
624 | //
|
---|
625 | // Executes:
|
---|
626 | // - FillArray()
|
---|
627 | // - FillHist()
|
---|
628 | //
|
---|
629 | Bool_t MHGausEvents::FillHistAndArray(const Float_t f)
|
---|
630 | {
|
---|
631 |
|
---|
632 | FillArray(f);
|
---|
633 | return FillHist(f);
|
---|
634 | }
|
---|
635 |
|
---|
636 | // -------------------------------------------------------------------
|
---|
637 | //
|
---|
638 | // Fit fGausHist with a Gaussian after stripping zeros from both ends
|
---|
639 | // and rebinned to the number of bins specified in fBinsAfterStripping
|
---|
640 | //
|
---|
641 | // The fit results are retrieved and stored in class-own variables.
|
---|
642 | //
|
---|
643 | // A flag IsGausFitOK() is set according to whether the fit probability
|
---|
644 | // is smaller or bigger than fProbLimit, whether the NDF is bigger than
|
---|
645 | // fNDFLimit and whether results are NaNs.
|
---|
646 | //
|
---|
647 | Bool_t MHGausEvents::FitGaus(Option_t *option, const Double_t xmin, const Double_t xmax)
|
---|
648 | {
|
---|
649 |
|
---|
650 | if (IsGausFitOK())
|
---|
651 | return kTRUE;
|
---|
652 |
|
---|
653 | //
|
---|
654 | // First, strip the zeros from the edges which contain only zeros and rebin
|
---|
655 | // to about fBinsAfterStripping bins.
|
---|
656 | //
|
---|
657 | // (ATTENTION: The Chisquare method is more sensitive,
|
---|
658 | // the _less_ bins, you have!)
|
---|
659 | //
|
---|
660 | StripZeros(&fHGausHist,fBinsAfterStripping);
|
---|
661 |
|
---|
662 | //
|
---|
663 | // Get the fitting ranges
|
---|
664 | //
|
---|
665 | Axis_t rmin = (xmin==0.) && (xmax==0.) ? fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetFirst()) : xmin;
|
---|
666 | Axis_t rmax = (xmin==0.) && (xmax==0.) ? fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetLast()) : xmax;
|
---|
667 |
|
---|
668 | //
|
---|
669 | // First guesses for the fit (should be as close to reality as possible,
|
---|
670 | //
|
---|
671 | const Stat_t entries = fHGausHist.Integral("width");
|
---|
672 | const Double_t mu_guess = fHGausHist.GetBinCenter(fHGausHist.GetMaximumBin());
|
---|
673 | const Double_t sigma_guess = fHGausHist.GetRMS();
|
---|
674 | const Double_t area_guess = entries/TMath::Sqrt(TMath::TwoPi())/sigma_guess;
|
---|
675 |
|
---|
676 | fFGausFit = new TF1("GausFit","gaus",rmin,rmax);
|
---|
677 |
|
---|
678 | if (!fFGausFit)
|
---|
679 | {
|
---|
680 | *fLog << warn << dbginf << "WARNING: Could not create fit function for Gauss fit "
|
---|
681 | << "in pixel: " << fPixId << endl;
|
---|
682 | return kFALSE;
|
---|
683 | }
|
---|
684 |
|
---|
685 | fFGausFit->SetParameters(area_guess,mu_guess,sigma_guess);
|
---|
686 | fFGausFit->SetParNames("Area","#mu","#sigma");
|
---|
687 | fFGausFit->SetParLimits(0,0.,area_guess*1.5);
|
---|
688 | fFGausFit->SetParLimits(1,rmin,rmax);
|
---|
689 | fFGausFit->SetParLimits(2,0.,rmax-rmin);
|
---|
690 | fFGausFit->SetRange(rmin,rmax);
|
---|
691 |
|
---|
692 | fHGausHist.Fit(fFGausFit,option);
|
---|
693 |
|
---|
694 |
|
---|
695 | fMean = fFGausFit->GetParameter(1);
|
---|
696 | fSigma = fFGausFit->GetParameter(2);
|
---|
697 | fMeanErr = fFGausFit->GetParError(1);
|
---|
698 | fSigmaErr = fFGausFit->GetParError(2);
|
---|
699 | fProb = fFGausFit->GetProb();
|
---|
700 | //
|
---|
701 | // The fit result is accepted under condition:
|
---|
702 | // 1) The results are not nan's
|
---|
703 | // 2) The NDF is not smaller than fNDFLimit (default: fgNDFLimit)
|
---|
704 | // 3) The Probability is greater than fProbLimit (default: fgProbLimit)
|
---|
705 | //
|
---|
706 | if ( TMath::IsNaN(fMean)
|
---|
707 | || TMath::IsNaN(fMeanErr)
|
---|
708 | || TMath::IsNaN(fProb)
|
---|
709 | || TMath::IsNaN(fSigma)
|
---|
710 | || TMath::IsNaN(fSigmaErr)
|
---|
711 | || fFGausFit->GetNDF() < fNDFLimit
|
---|
712 | || fProb < fProbLimit )
|
---|
713 | return kFALSE;
|
---|
714 |
|
---|
715 | SetGausFitOK(kTRUE);
|
---|
716 | return kTRUE;
|
---|
717 | }
|
---|
718 |
|
---|
719 | // -------------------------------------------------------------------------------
|
---|
720 | //
|
---|
721 | // Return the number of "blackout" events, which are events with values higher
|
---|
722 | // than fBlackoutLimit sigmas from the mean
|
---|
723 | //
|
---|
724 | //
|
---|
725 | const Double_t MHGausEvents::GetBlackout() const
|
---|
726 | {
|
---|
727 |
|
---|
728 | if ((fMean == 0.) && (fSigma == 0.))
|
---|
729 | return -1.;
|
---|
730 |
|
---|
731 | const Int_t first = fHGausHist.GetXaxis()->GetFirst();
|
---|
732 | const Int_t last = fHGausHist.GetXaxis()->FindBin(fMean-fBlackoutLimit*fSigma);
|
---|
733 |
|
---|
734 | if (first >= last)
|
---|
735 | return 0.;
|
---|
736 |
|
---|
737 | return fHGausHist.Integral(first, last, "width");
|
---|
738 | }
|
---|
739 |
|
---|
740 | const Double_t MHGausEvents::GetChiSquare() const
|
---|
741 | {
|
---|
742 | return ( fFGausFit ? fFGausFit->GetChisquare() : 0.);
|
---|
743 | }
|
---|
744 |
|
---|
745 |
|
---|
746 | const Double_t MHGausEvents::GetExpChiSquare() const
|
---|
747 | {
|
---|
748 | return ( fFExpFit ? fFExpFit->GetChisquare() : 0.);
|
---|
749 | }
|
---|
750 |
|
---|
751 |
|
---|
752 | const Int_t MHGausEvents::GetExpNdf() const
|
---|
753 | {
|
---|
754 | return ( fFExpFit ? fFExpFit->GetNDF() : 0);
|
---|
755 | }
|
---|
756 |
|
---|
757 |
|
---|
758 | const Double_t MHGausEvents::GetExpProb() const
|
---|
759 | {
|
---|
760 | return ( fFExpFit ? fFExpFit->GetProb() : 0.);
|
---|
761 | }
|
---|
762 |
|
---|
763 |
|
---|
764 | const Int_t MHGausEvents::GetNdf() const
|
---|
765 | {
|
---|
766 | return ( fFGausFit ? fFGausFit->GetNDF() : 0);
|
---|
767 | }
|
---|
768 |
|
---|
769 | const Double_t MHGausEvents::GetOffset() const
|
---|
770 | {
|
---|
771 | return ( fFExpFit ? fFExpFit->GetParameter(0) : 0.);
|
---|
772 | }
|
---|
773 |
|
---|
774 |
|
---|
775 | // -------------------------------------------------------------------------------
|
---|
776 | //
|
---|
777 | // Return the number of "pickup" events, which are events with values higher
|
---|
778 | // than fPickupLimit sigmas from the mean
|
---|
779 | //
|
---|
780 | //
|
---|
781 | const Double_t MHGausEvents::GetPickup() const
|
---|
782 | {
|
---|
783 |
|
---|
784 | if ((fMean == 0.) && (fSigma == 0.))
|
---|
785 | return -1.;
|
---|
786 |
|
---|
787 | const Int_t first = fHGausHist.GetXaxis()->FindBin(fMean+fPickupLimit*fSigma);
|
---|
788 | const Int_t last = fHGausHist.GetXaxis()->GetLast();
|
---|
789 |
|
---|
790 | if (first >= last)
|
---|
791 | return 0.;
|
---|
792 |
|
---|
793 | return fHGausHist.Integral(first, last, "width");
|
---|
794 | }
|
---|
795 |
|
---|
796 |
|
---|
797 | const Double_t MHGausEvents::GetSlope() const
|
---|
798 | {
|
---|
799 | return ( fFExpFit ? fFExpFit->GetParameter(1) : 0.);
|
---|
800 | }
|
---|
801 |
|
---|
802 | // --------------------------------------------------------------------------
|
---|
803 | //
|
---|
804 | // Default InitBins, can be overloaded.
|
---|
805 | //
|
---|
806 | // Executes:
|
---|
807 | // - fHGausHist.SetBins(fNbins,fFirst,fLast)
|
---|
808 | //
|
---|
809 | void MHGausEvents::InitBins()
|
---|
810 | {
|
---|
811 | fHGausHist.SetBins(fNbins,fFirst,fLast);
|
---|
812 | }
|
---|
813 |
|
---|
814 | const Bool_t MHGausEvents::IsEmpty() const
|
---|
815 | {
|
---|
816 | return !(fHGausHist.GetEntries());
|
---|
817 | }
|
---|
818 |
|
---|
819 |
|
---|
820 | const Bool_t MHGausEvents::IsExcluded() const
|
---|
821 | {
|
---|
822 | return TESTBIT(fFlags,kExcluded);
|
---|
823 | }
|
---|
824 |
|
---|
825 |
|
---|
826 | const Bool_t MHGausEvents::IsExpFitOK() const
|
---|
827 | {
|
---|
828 | return TESTBIT(fFlags,kExpFitOK);
|
---|
829 | }
|
---|
830 |
|
---|
831 | const Bool_t MHGausEvents::IsFourierSpectrumOK() const
|
---|
832 | {
|
---|
833 | return TESTBIT(fFlags,kFourierSpectrumOK);
|
---|
834 | }
|
---|
835 |
|
---|
836 |
|
---|
837 | const Bool_t MHGausEvents::IsGausFitOK() const
|
---|
838 | {
|
---|
839 | return TESTBIT(fFlags,kGausFitOK);
|
---|
840 | }
|
---|
841 |
|
---|
842 |
|
---|
843 | // -----------------------------------------------------------------------------------
|
---|
844 | //
|
---|
845 | // A default print
|
---|
846 | //
|
---|
847 | void MHGausEvents::Print(const Option_t *o) const
|
---|
848 | {
|
---|
849 |
|
---|
850 | *fLog << all << endl;
|
---|
851 | *fLog << all << "Results of the Gauss Fit in pixel: " << fPixId << endl;
|
---|
852 | *fLog << all << "Mean: " << GetMean() << endl;
|
---|
853 | *fLog << all << "Sigma: " << GetSigma() << endl;
|
---|
854 | *fLog << all << "Chisquare: " << GetChiSquare() << endl;
|
---|
855 | *fLog << all << "DoF: " << GetNdf() << endl;
|
---|
856 | *fLog << all << "Probability: " << GetProb() << endl;
|
---|
857 | *fLog << all << endl;
|
---|
858 |
|
---|
859 | }
|
---|
860 |
|
---|
861 | // --------------------------------------------------------------------------
|
---|
862 | //
|
---|
863 | // Re-normalize the results, has to be overloaded
|
---|
864 | //
|
---|
865 | void MHGausEvents::Renorm()
|
---|
866 | {
|
---|
867 | }
|
---|
868 |
|
---|
869 | // -----------------------------------------------------------------------------
|
---|
870 | //
|
---|
871 | // If flag IsGausFitOK() is set (histogram already successfully fitted),
|
---|
872 | // returns kTRUE
|
---|
873 | //
|
---|
874 | // If both fMean and fSigma are still zero, call FitGaus()
|
---|
875 | //
|
---|
876 | // Repeats the Gauss fit in a smaller range, defined by:
|
---|
877 | //
|
---|
878 | // min = GetMean() - fBlackoutLimit * GetSigma();
|
---|
879 | // max = GetMean() + fPickupLimit * GetSigma();
|
---|
880 | //
|
---|
881 | // The fit results are retrieved and stored in class-own variables.
|
---|
882 | //
|
---|
883 | // A flag IsGausFitOK() is set according to whether the fit probability
|
---|
884 | // is smaller or bigger than fProbLimit, whether the NDF is bigger than
|
---|
885 | // fNDFLimit and whether results are NaNs.
|
---|
886 | //
|
---|
887 | Bool_t MHGausEvents::RepeatFit(const Option_t *option)
|
---|
888 | {
|
---|
889 |
|
---|
890 | if (IsGausFitOK())
|
---|
891 | return kTRUE;
|
---|
892 |
|
---|
893 | if ((fMean == 0.) && (fSigma == 0.))
|
---|
894 | return FitGaus();
|
---|
895 |
|
---|
896 | //
|
---|
897 | // Get new fitting ranges
|
---|
898 | //
|
---|
899 | Axis_t rmin = fMean - fBlackoutLimit * fSigma;
|
---|
900 | Axis_t rmax = fMean + fPickupLimit * fSigma;
|
---|
901 |
|
---|
902 | Axis_t hmin = fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetFirst());
|
---|
903 | Axis_t hmax = fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetLast()) ;
|
---|
904 |
|
---|
905 | fFGausFit->SetRange(hmin < rmin ? rmin : hmin , hmax > rmax ? rmax : hmax);
|
---|
906 |
|
---|
907 | fHGausHist.Fit(fFGausFit,option);
|
---|
908 |
|
---|
909 | fMean = fFGausFit->GetParameter(1);
|
---|
910 | fMeanErr = fFGausFit->GetParameter(2);
|
---|
911 | fSigma = fFGausFit->GetParError(1) ;
|
---|
912 | fSigmaErr = fFGausFit->GetParError(2) ;
|
---|
913 | fProb = fFGausFit->GetProb() ;
|
---|
914 |
|
---|
915 | //
|
---|
916 | // The fit result is accepted under condition:
|
---|
917 | // 1) The results are not nan's
|
---|
918 | // 2) The NDF is not smaller than fNDFLimit (default: fgNDFLimit)
|
---|
919 | // 3) The Probability is greater than fProbLimit (default: fgProbLimit)
|
---|
920 | //
|
---|
921 | if ( TMath::IsNaN ( fMean )
|
---|
922 | || TMath::IsNaN ( fMeanErr )
|
---|
923 | || TMath::IsNaN ( fProb )
|
---|
924 | || TMath::IsNaN ( fSigma )
|
---|
925 | || TMath::IsNaN ( fSigmaErr )
|
---|
926 | || fFGausFit->GetNDF() < fNDFLimit
|
---|
927 | || fProb < fProbLimit )
|
---|
928 | return kFALSE;
|
---|
929 |
|
---|
930 | SetGausFitOK(kTRUE);
|
---|
931 | return kTRUE;
|
---|
932 |
|
---|
933 | }
|
---|
934 |
|
---|
935 | // --------------------------------------------------------------------------
|
---|
936 | //
|
---|
937 | // Default Reset(), can be overloaded.
|
---|
938 | //
|
---|
939 | // Executes:
|
---|
940 | // - Clear()
|
---|
941 | // - fHGausHist.Reset()
|
---|
942 | // - fEvents.Set(0)
|
---|
943 | //
|
---|
944 | void MHGausEvents::Reset()
|
---|
945 | {
|
---|
946 |
|
---|
947 | Clear();
|
---|
948 | fHGausHist.Reset();
|
---|
949 | fEvents.Set(0);
|
---|
950 |
|
---|
951 | }
|
---|
952 |
|
---|
953 | // --------------------------------------------------------------------------
|
---|
954 | //
|
---|
955 | // Set Excluded bit from outside
|
---|
956 | //
|
---|
957 | void MHGausEvents::SetExcluded(const Bool_t b)
|
---|
958 | {
|
---|
959 | b ? SETBIT(fFlags,kExcluded) : CLRBIT(fFlags,kExcluded);
|
---|
960 | }
|
---|
961 |
|
---|
962 |
|
---|
963 | // -------------------------------------------------------------------
|
---|
964 | //
|
---|
965 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
---|
966 | //
|
---|
967 | void MHGausEvents::SetExpFitOK(const Bool_t b)
|
---|
968 | {
|
---|
969 |
|
---|
970 | b ? SETBIT(fFlags,kExpFitOK) : CLRBIT(fFlags,kExpFitOK);
|
---|
971 | }
|
---|
972 |
|
---|
973 | // -------------------------------------------------------------------
|
---|
974 | //
|
---|
975 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
---|
976 | //
|
---|
977 | void MHGausEvents::SetFourierSpectrumOK(const Bool_t b)
|
---|
978 | {
|
---|
979 |
|
---|
980 | b ? SETBIT(fFlags,kFourierSpectrumOK) : CLRBIT(fFlags,kFourierSpectrumOK);
|
---|
981 | }
|
---|
982 |
|
---|
983 |
|
---|
984 | // -------------------------------------------------------------------
|
---|
985 | //
|
---|
986 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
---|
987 | //
|
---|
988 | void MHGausEvents::SetGausFitOK(const Bool_t b)
|
---|
989 | {
|
---|
990 | b ? SETBIT(fFlags,kGausFitOK) : CLRBIT(fFlags,kGausFitOK);
|
---|
991 |
|
---|
992 | }
|
---|