| 1 | /* ======================================================================== *\
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| 2 | !
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| 3 | ! *
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| 4 | ! * This file is part of MARS, the MAGIC Analysis and Reconstruction
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| 5 | ! * Software. It is distributed to you in the hope that it can be a useful
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| 6 | ! * and timesaving tool in analysing Data of imaging Cerenkov telescopes.
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| 7 | ! * It is distributed WITHOUT ANY WARRANTY.
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| 8 | ! *
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| 9 | ! * Permission to use, copy, modify and distribute this software and its
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| 10 | ! * documentation for any purpose is hereby granted without fee,
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| 11 | ! * provided that the above copyright notice appear in all copies and
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| 12 | ! * that both that copyright notice and this permission notice appear
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| 13 | ! * in supporting documentation. It is provided "as is" without express
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| 14 | ! * or implied warranty.
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| 15 | ! *
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| 16 | !
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| 17 | !
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| 18 | ! Author(s): Markus Gaug 02/2004 <mailto:markus@ifae.es>
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| 19 | !
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| 20 | ! Copyright: MAGIC Software Development, 2000-2004
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| 21 | !
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| 22 | !
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| 23 | \* ======================================================================== */
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| 24 |
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| 25 | //////////////////////////////////////////////////////////////////////////////
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| 26 | //
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| 27 | // MHGausEvents
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| 28 | //
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| 29 | // A base class for events which are believed to follow a Gaussian distribution
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| 30 | // with time, e.g. calibration events, observables containing white noise, ...
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| 31 | //
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| 32 | // MHGausEvents derives from MH, thus all features of MH can be used by a class
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| 33 | // deriving from MHGausEvents, especially the filling functions.
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| 34 | //
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| 35 | // The central objects are:
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| 36 | //
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| 37 | // 1) The TH1F fHGausHist:
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| 38 | // ====================
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| 39 | //
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| 40 | // It is created with a default name and title and resides in directory NULL.
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| 41 | // - Any class deriving from MHGausEvents needs to apply a binning to fHGausHist
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| 42 | // (e.g. by setting the variables fNbins, fFirst, fLast and calling the function
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| 43 | // InitBins() or by directly calling fHGausHist.SetBins(..) )
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| 44 | // - The histogram is filled with the functions FillHist() or FillHistAndArray().
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| 45 | // - The histogram can be fitted with the function FitGaus(). This involves stripping
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| 46 | // of all zeros at the lower and upper end of the histogram and re-binning to
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| 47 | // a new number of bins, specified in the variable fBinsAfterStripping.
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| 48 | // - The fit result's probability is compared to a reference probability fProbLimit
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| 49 | // The NDF is compared to fNDFLimit and a check is made whether results are NaNs.
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| 50 | // Accordingly, a flag IsGausFitOK() is set.
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| 51 | // - One can repeat the fit within a given amount of sigmas from the previous mean
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| 52 | // (specified by the variables fPickupLimit and fBlackoutLimit) with the function RepeatFit()
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| 53 | // - One can completely skip the fitting to set mean, sigma and its errors directly
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| 54 | // from the histograms with the function BypassFit()
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| 55 | //
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| 56 | // 2) The TArrayF fEvents:
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| 57 | // ==========================
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| 58 | //
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| 59 | // It is created with 0 entries and not expanded unless FillArray() or FillHistAndArray()
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| 60 | // are called.
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| 61 | // - A first call to FillArray() or FillHistAndArray() initializes fEvents by default
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| 62 | // to 512 entries.
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| 63 | // - Any later call to FillArray() or FillHistAndArray() fills up the array.
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| 64 | // Reaching the limit, the array is expanded by a factor 2.
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| 65 | // - The array can be fourier-transformed into the array fPowerSpectrum.
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| 66 | // Note that any FFT accepts only number of events which are a power of 2.
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| 67 | // Thus, fEvents is cut to the next power of 2 smaller than its actual number of entries.
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| 68 | // Be aware that you might lose information at the end of your analysis.
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| 69 | // - Calling the function CreateFourierSpectrum() creates the array fPowerSpectrum
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| 70 | // and its projection fHPowerProbability which in turn is fit to an exponential.
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| 71 | // - The fit result's probability is compared to a referenc probability fProbLimit
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| 72 | // and accordingly the flag IsExpFitOK() is set.
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| 73 | // - The flag IsFourierSpectrumOK() is set accordingly to IsExpFitOK().
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| 74 | // Later, a closer check will be installed.
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| 75 | // - You can display all arrays by calls to: CreateGraphEvents() and
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| 76 | // CreateGraphPowerSpectrum() and successive calls to the corresponding Getters.
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| 77 | //
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| 78 | // To see an example, have a look at: Draw()
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| 79 | //
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| 80 | //////////////////////////////////////////////////////////////////////////////
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| 81 | #include "MHGausEvents.h"
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| 82 |
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| 83 | #include <TH1.h>
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| 84 | #include <TF1.h>
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| 85 | #include <TGraph.h>
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| 86 | #include <TPad.h>
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| 87 | #include <TVirtualPad.h>
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| 88 | #include <TCanvas.h>
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| 89 | #include <TStyle.h>
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| 90 |
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| 91 | #include "MFFT.h"
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| 92 | #include "MArrayF.h"
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| 93 |
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| 94 | #include "MH.h"
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| 95 |
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| 96 | #include "MLog.h"
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| 97 | #include "MLogManip.h"
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| 98 |
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| 99 | ClassImp(MHGausEvents);
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| 100 |
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| 101 | using namespace std;
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| 102 |
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| 103 | const Int_t MHGausEvents::fgNDFLimit = 2;
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| 104 | const Float_t MHGausEvents::fgProbLimit = 0.001;
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| 105 | const Int_t MHGausEvents::fgPowerProbabilityBins = 30;
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| 106 | // --------------------------------------------------------------------------
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| 107 | //
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| 108 | // Default Constructor.
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| 109 | // Sets:
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| 110 | // - the default Probability Bins for fPowerProbabilityBins (fgPowerProbabilityBins)
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| 111 | // - the default Probability Limit for fProbLimit (fgProbLimit)
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| 112 | // - the default NDF Limit for fNDFLimit (fgNDFLimit)
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| 113 | // - the default number of bins after stripping for fBinsAfterStipping (fgBinsAfterStipping)
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| 114 | // - the default name of the fHGausHist ("HGausHist")
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| 115 | // - the default title of the fHGausHist ("Histogram of Events with Gaussian Distribution")
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| 116 | // - the default directory of the fHGausHist (NULL)
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| 117 | // - the default for fNbins (100)
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| 118 | // - the default for fFirst (0.)
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| 119 | // - the default for fLast (100.)
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| 120 | //
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| 121 | // Initializes:
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| 122 | // - fEvents to 0 entries
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| 123 | // - fHGausHist()
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| 124 | // - all other pointers to NULL
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| 125 | // - all variables to 0.
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| 126 | // - all flags to kFALSE
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| 127 | //
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| 128 | MHGausEvents::MHGausEvents(const char *name, const char *title)
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| 129 | : fEventFrequency(0),
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| 130 | fHPowerProbability(NULL),
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| 131 | fPowerSpectrum(NULL),
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| 132 | fFGausFit(NULL), fFExpFit(NULL),
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| 133 | fFirst(0.),
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| 134 | fGraphEvents(NULL), fGraphPowerSpectrum(NULL),
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| 135 | fLast(100.), fNbins(100)
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| 136 | {
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| 137 |
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| 138 | fName = name ? name : "MHGausEvents";
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| 139 | fTitle = title ? title : "Events with expected Gaussian distributions";
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| 140 |
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| 141 | Clear();
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| 142 |
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| 143 | SetBinsAfterStripping();
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| 144 | SetNDFLimit();
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| 145 | SetPowerProbabilityBins();
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| 146 | SetProbLimit();
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| 147 |
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| 148 | fHGausHist.SetName("HGausHist");
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| 149 | fHGausHist.SetTitle("Histogram of Events with Gaussian Distribution");
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| 150 | // important, other ROOT will not draw the axes:
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| 151 | fHGausHist.UseCurrentStyle();
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| 152 | fHGausHist.SetDirectory(NULL);
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| 153 | fHGausHist.GetYaxis()->CenterTitle();
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| 154 | }
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| 155 |
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| 156 |
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| 157 |
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| 158 | // --------------------------------------------------------------------------
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| 159 | //
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| 160 | // Default Destructor.
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| 161 | //
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| 162 | // Deletes (if Pointer is not NULL):
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| 163 | //
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| 164 | // - fHPowerProbability
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| 165 | // - fPowerSpectrum
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| 166 | // - fGraphEvents
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| 167 | // - fGraphPowerSpectrum
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| 168 | //
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| 169 | // - fFGausFit
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| 170 | // - fFExpFit
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| 171 | //
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| 172 | MHGausEvents::~MHGausEvents()
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| 173 | {
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| 174 |
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| 175 | // delete histograms
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| 176 | if (fHPowerProbability)
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| 177 | delete fHPowerProbability;
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| 178 |
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| 179 | // delete fits
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| 180 | if (fFGausFit)
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| 181 | delete fFGausFit;
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| 182 |
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| 183 | if (fFExpFit)
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| 184 | delete fFExpFit;
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| 185 |
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| 186 | // delete arrays
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| 187 | if (fPowerSpectrum)
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| 188 | delete fPowerSpectrum;
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| 189 |
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| 190 | // delete graphs
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| 191 | if (fGraphEvents)
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| 192 | delete fGraphEvents;
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| 193 |
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| 194 | if (fGraphPowerSpectrum)
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| 195 | delete fGraphPowerSpectrum;
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| 196 |
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| 197 | }
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| 198 |
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| 199 | // --------------------------------------------------------------------------
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| 200 | //
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| 201 | // Default Clear(), can be overloaded.
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| 202 | //
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| 203 | // Sets:
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| 204 | // - all other pointers to NULL
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| 205 | // - all variables to 0. and keep fEventFrequency
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| 206 | // - all flags to kFALSE
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| 207 | //
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| 208 | // Deletes (if not NULL):
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| 209 | // - all pointers
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| 210 | //
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| 211 | void MHGausEvents::Clear(Option_t *o)
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| 212 | {
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| 213 |
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| 214 | SetGausFitOK ( kFALSE );
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| 215 | SetExpFitOK ( kFALSE );
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| 216 | SetFourierSpectrumOK( kFALSE );
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| 217 | SetExcluded ( kFALSE );
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| 218 |
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| 219 | fMean = 0.;
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| 220 | fSigma = 0.;
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| 221 | fMeanErr = 0.;
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| 222 | fSigmaErr = 0.;
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| 223 | fProb = 0.;
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| 224 |
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| 225 | fCurrentSize = 0;
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| 226 |
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| 227 | if (fHPowerProbability)
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| 228 | {
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| 229 | delete fHPowerProbability;
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| 230 | fHPowerProbability = NULL;
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| 231 | }
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| 232 |
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| 233 | // delete fits
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| 234 | if (fFGausFit)
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| 235 | {
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| 236 | delete fFGausFit;
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| 237 | fFGausFit = NULL;
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| 238 | }
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| 239 |
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| 240 | if (fFExpFit)
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| 241 | {
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| 242 | delete fFExpFit;
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| 243 | fFExpFit = NULL;
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| 244 | }
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| 245 |
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| 246 | // delete arrays
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| 247 | if (fPowerSpectrum)
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| 248 | {
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| 249 | delete fPowerSpectrum;
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| 250 | fPowerSpectrum = NULL;
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| 251 | }
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| 252 |
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| 253 | // delete graphs
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| 254 | if (fGraphEvents)
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| 255 | {
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| 256 | delete fGraphEvents;
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| 257 | fGraphEvents = NULL;
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| 258 | }
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| 259 |
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| 260 | if (fGraphPowerSpectrum)
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| 261 | {
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| 262 | delete fGraphPowerSpectrum;
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| 263 | fGraphPowerSpectrum = NULL;
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| 264 | }
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| 265 | }
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| 266 |
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| 267 | // -----------------------------------------------------------------------------
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| 268 | //
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| 269 | // Create the x-axis for the event graph
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| 270 | //
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| 271 | Float_t *MHGausEvents::CreateEventXaxis(Int_t n)
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| 272 | {
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| 273 |
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| 274 | Float_t *xaxis = new Float_t[n];
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| 275 |
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| 276 | if (fEventFrequency)
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| 277 | for (Int_t i=0;i<n;i++)
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| 278 | xaxis[i] = (Float_t)i/fEventFrequency;
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| 279 | else
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| 280 | for (Int_t i=0;i<n;i++)
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| 281 | xaxis[i] = (Float_t)i;
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| 282 |
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| 283 | return xaxis;
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| 284 |
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| 285 | }
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| 286 |
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| 287 |
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| 288 | // -------------------------------------------------------------------
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| 289 | //
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| 290 | // Create the fourier spectrum using the class MFFT.
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| 291 | // The result is projected into a histogram and fitted by an exponential
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| 292 | //
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| 293 | void MHGausEvents::CreateFourierSpectrum()
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| 294 | {
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| 295 |
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| 296 | if (fFExpFit)
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| 297 | return;
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| 298 |
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| 299 | if (fEvents.GetSize() < 8)
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| 300 | {
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| 301 | *fLog << warn << "Cannot create Fourier spectrum in: " << fName
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| 302 | << ". Number of events smaller than 8 " << endl;
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| 303 | return;
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| 304 | }
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| 305 |
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| 306 | //
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| 307 | // The number of entries HAS to be a potence of 2,
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| 308 | // so we can only cut out from the last potence of 2 to the rest.
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| 309 | // Another possibility would be to fill everything with
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| 310 | // zeros, but that gives a low frequency peak, which we would
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| 311 | // have to cut out later again.
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| 312 | //
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| 313 | // So, we have to live with the possibility that at the end
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| 314 | // of the calibration run, something has happened without noticing
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| 315 | // it...
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| 316 | //
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| 317 |
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| 318 | // This cuts only the non-used zero's, but MFFT will later cut the rest
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| 319 | fEvents.StripZeros();
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| 320 |
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| 321 | if (fEvents.GetSize() < 8)
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| 322 | {
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| 323 | /*
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| 324 | *fLog << warn << "Cannot create Fourier spectrum. " << endl;
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| 325 | *fLog << warn << "Number of events (after stripping of zeros) is smaller than 8 "
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| 326 | << "in pixel: " << fPixId << endl;
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| 327 | */
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| 328 | return;
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| 329 | }
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| 330 |
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| 331 | MFFT fourier;
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| 332 |
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| 333 | fPowerSpectrum = fourier.PowerSpectrumDensity(&fEvents);
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| 334 | fHPowerProbability = ProjectArray(*fPowerSpectrum, fPowerProbabilityBins,
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| 335 | Form("%s%s","PowerProb",GetName()),
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| 336 | "Probability of Power occurrance");
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| 337 | fHPowerProbability->SetXTitle("P(f)");
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| 338 | fHPowerProbability->SetYTitle("Counts");
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| 339 | fHPowerProbability->GetYaxis()->CenterTitle();
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| 340 | fHPowerProbability->SetDirectory(NULL);
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| 341 | fHPowerProbability->SetBit(kCanDelete);
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| 342 | //
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| 343 | // First guesses for the fit (should be as close to reality as possible,
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| 344 | //
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| 345 | const Double_t xmax = fHPowerProbability->GetXaxis()->GetXmax();
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| 346 |
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| 347 | fFExpFit = new TF1("FExpFit","exp([0]-[1]*x)",0.,xmax);
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| 348 |
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| 349 | const Double_t slope_guess = (TMath::Log(fHPowerProbability->GetEntries())+1.)/xmax;
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| 350 | const Double_t offset_guess = slope_guess*xmax;
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| 351 |
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| 352 | //
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| 353 | // For the fits, we have to take special care since ROOT
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| 354 | // has stored the function pointer in a global list which
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| 355 | // lead to removing the object twice. We have to take out
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| 356 | // the following functions of the global list of functions
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| 357 | // as well:
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| 358 | //
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| 359 | gROOT->GetListOfFunctions()->Remove(fFExpFit);
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| 360 | fFExpFit->SetParameters(offset_guess, slope_guess);
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| 361 | fFExpFit->SetParNames("Offset","Slope");
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| 362 | fFExpFit->SetParLimits(0,offset_guess/2.,2.*offset_guess);
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| 363 | fFExpFit->SetParLimits(1,slope_guess/1.5,1.5*slope_guess);
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| 364 | fFExpFit->SetRange(0.,xmax);
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| 365 |
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| 366 | fHPowerProbability->Fit(fFExpFit,"RQL0");
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| 367 |
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| 368 | if (GetExpProb() > fProbLimit)
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| 369 | SetExpFitOK(kTRUE);
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| 370 |
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| 371 | //
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| 372 | // For the moment, this is the only check, later we can add more...
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| 373 | //
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| 374 | SetFourierSpectrumOK(IsExpFitOK());
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| 375 |
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| 376 | return;
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| 377 | }
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| 378 |
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| 379 | // ----------------------------------------------------------------------------------
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| 380 | //
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| 381 | // Create a graph to display the array fEvents
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| 382 | // If the variable fEventFrequency is set, the x-axis is transformed into real time.
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| 383 | //
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| 384 | void MHGausEvents::CreateGraphEvents()
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| 385 | {
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| 386 |
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| 387 | fEvents.StripZeros();
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| 388 |
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| 389 | const Int_t n = fEvents.GetSize();
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| 390 |
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| 391 | if (n==0)
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| 392 | return;
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| 393 |
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| 394 | fGraphEvents = new TGraph(n,CreateEventXaxis(n),fEvents.GetArray());
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| 395 | fGraphEvents->SetTitle("Evolution of Events with time");
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| 396 | fGraphEvents->GetXaxis()->SetTitle((fEventFrequency) ? "Time [s]" : "Event Nr.");
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| 397 | fGraphEvents->GetYaxis()->SetTitle(fHGausHist.GetXaxis()->GetTitle());
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| 398 | fGraphEvents->GetYaxis()->CenterTitle();
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| 399 | }
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| 400 |
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| 401 | // ----------------------------------------------------------------------------------
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| 402 | //
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| 403 | // Create a graph to display the array fPowerSpectrum
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| 404 | // If the variable fEventFrequency is set, the x-axis is transformed into real frequency.
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| 405 | //
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| 406 | void MHGausEvents::CreateGraphPowerSpectrum()
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| 407 | {
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| 408 |
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| 409 | fPowerSpectrum->StripZeros();
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| 410 |
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| 411 | const Int_t n = fPowerSpectrum->GetSize();
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| 412 |
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| 413 | fGraphPowerSpectrum = new TGraph(n,CreatePSDXaxis(n),fPowerSpectrum->GetArray());
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| 414 | fGraphPowerSpectrum->SetTitle("Power Spectrum Density");
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| 415 | fGraphPowerSpectrum->GetXaxis()->SetTitle((fEventFrequency) ? "Frequency [Hz]" : "Frequency");
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| 416 | fGraphPowerSpectrum->GetYaxis()->SetTitle("P(f)");
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| 417 | fGraphPowerSpectrum->GetYaxis()->CenterTitle();
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| 418 |
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| 419 | }
|
|---|
| 420 |
|
|---|
| 421 |
|
|---|
| 422 | // -----------------------------------------------------------------------------
|
|---|
| 423 | //
|
|---|
| 424 | // Create the x-axis for the event graph
|
|---|
| 425 | //
|
|---|
| 426 | Float_t *MHGausEvents::CreatePSDXaxis(Int_t n)
|
|---|
| 427 | {
|
|---|
| 428 |
|
|---|
| 429 | Float_t *xaxis = new Float_t[n];
|
|---|
| 430 |
|
|---|
| 431 | if (fEventFrequency)
|
|---|
| 432 | for (Int_t i=0;i<n;i++)
|
|---|
| 433 | xaxis[i] = 0.5*(Float_t)i*fEventFrequency/n;
|
|---|
| 434 | else
|
|---|
| 435 | for (Int_t i=0;i<n;i++)
|
|---|
| 436 | xaxis[i] = 0.5*(Float_t)i/n;
|
|---|
| 437 |
|
|---|
| 438 | return xaxis;
|
|---|
| 439 |
|
|---|
| 440 | }
|
|---|
| 441 |
|
|---|
| 442 | // -----------------------------------------------------------------------------
|
|---|
| 443 | //
|
|---|
| 444 | // Default draw:
|
|---|
| 445 | //
|
|---|
| 446 | // The following options can be chosen:
|
|---|
| 447 | //
|
|---|
| 448 | // "EVENTS": displays a TGraph of the array fEvents
|
|---|
| 449 | // "FOURIER": display a TGraph of the fourier transform of fEvents
|
|---|
| 450 | // displays the projection of the fourier transform with the fit
|
|---|
| 451 | //
|
|---|
| 452 | // The following picture shows a typical outcome of call to Draw("fourierevents"):
|
|---|
| 453 | // - The first plot shows the distribution of the values with the Gauss fit
|
|---|
| 454 | // (which did not succeed, in this case, for obvious reasons)
|
|---|
| 455 | // - The second plot shows the TGraph with the events vs. time
|
|---|
| 456 | // - The third plot shows the fourier transform and a small peak at about 85 Hz.
|
|---|
| 457 | // - The fourth plot shows the projection of the fourier components and an exponential
|
|---|
| 458 | // fit, with the result that the observed deviation is still statistical with a
|
|---|
| 459 | // probability of 0.5%.
|
|---|
| 460 | //
|
|---|
| 461 | //Begin_Html
|
|---|
| 462 | /*
|
|---|
| 463 | <img src="images/MHGausEventsDraw.gif">
|
|---|
| 464 | */
|
|---|
| 465 | //End_Html
|
|---|
| 466 | //
|
|---|
| 467 | void MHGausEvents::Draw(const Option_t *opt)
|
|---|
| 468 | {
|
|---|
| 469 |
|
|---|
| 470 | TVirtualPad *pad = gPad ? gPad : MH::MakeDefCanvas(this,600, 900);
|
|---|
| 471 |
|
|---|
| 472 | TString option(opt);
|
|---|
| 473 | option.ToLower();
|
|---|
| 474 |
|
|---|
| 475 | Int_t win = 1;
|
|---|
| 476 |
|
|---|
| 477 | if (option.Contains("events"))
|
|---|
| 478 | win += 1;
|
|---|
| 479 | if (option.Contains("fourier"))
|
|---|
| 480 | win += 2;
|
|---|
| 481 | if (IsEmpty())
|
|---|
| 482 | win--;
|
|---|
| 483 |
|
|---|
| 484 | pad->SetBorderMode(0);
|
|---|
| 485 | pad->Divide(1,win);
|
|---|
| 486 |
|
|---|
| 487 | Int_t cwin = 1;
|
|---|
| 488 |
|
|---|
| 489 | gPad->SetTicks();
|
|---|
| 490 |
|
|---|
| 491 | if (!IsEmpty())
|
|---|
| 492 | {
|
|---|
| 493 | pad->cd(cwin++);
|
|---|
| 494 |
|
|---|
| 495 | if (!IsOnlyOverflow() && !IsOnlyUnderflow())
|
|---|
| 496 | gPad->SetLogy();
|
|---|
| 497 |
|
|---|
| 498 | fHGausHist.Draw(option);
|
|---|
| 499 |
|
|---|
| 500 | if (fFGausFit)
|
|---|
| 501 | {
|
|---|
| 502 | fFGausFit->SetLineColor(IsGausFitOK() ? kGreen : kRed);
|
|---|
| 503 | fFGausFit->Draw("same");
|
|---|
| 504 | }
|
|---|
| 505 | }
|
|---|
| 506 |
|
|---|
| 507 | if (option.Contains("events"))
|
|---|
| 508 | {
|
|---|
| 509 | pad->cd(cwin++);
|
|---|
| 510 | DrawEvents();
|
|---|
| 511 | }
|
|---|
| 512 | if (option.Contains("fourier"))
|
|---|
| 513 | {
|
|---|
| 514 | pad->cd(cwin++);
|
|---|
| 515 | DrawPowerSpectrum(*pad,cwin);
|
|---|
| 516 | }
|
|---|
| 517 | }
|
|---|
| 518 |
|
|---|
| 519 | void MHGausEvents::DrawEvents(Option_t *opt)
|
|---|
| 520 | {
|
|---|
| 521 |
|
|---|
| 522 | if (!fGraphEvents)
|
|---|
| 523 | CreateGraphEvents();
|
|---|
| 524 |
|
|---|
| 525 | if (!fGraphEvents)
|
|---|
| 526 | return;
|
|---|
| 527 |
|
|---|
| 528 | fGraphEvents->SetBit(kCanDelete);
|
|---|
| 529 | fGraphEvents->SetTitle("Events with time");
|
|---|
| 530 |
|
|---|
| 531 | TString option(opt);
|
|---|
| 532 | option.ToLower();
|
|---|
| 533 |
|
|---|
| 534 | if (option.Contains("same"))
|
|---|
| 535 | {
|
|---|
| 536 | option.ReplaceAll("same","");
|
|---|
| 537 | fGraphEvents->Draw(option+"L");
|
|---|
| 538 | }
|
|---|
| 539 | else
|
|---|
| 540 | fGraphEvents->Draw(option+"AL");
|
|---|
| 541 | }
|
|---|
| 542 |
|
|---|
| 543 |
|
|---|
| 544 | void MHGausEvents::DrawPowerSpectrum(TVirtualPad &pad, Int_t i)
|
|---|
| 545 | {
|
|---|
| 546 |
|
|---|
| 547 | if (fPowerSpectrum)
|
|---|
| 548 | {
|
|---|
| 549 | if (!fGraphPowerSpectrum)
|
|---|
| 550 | CreateGraphPowerSpectrum();
|
|---|
| 551 |
|
|---|
| 552 | fGraphPowerSpectrum->Draw("AL");
|
|---|
| 553 | fGraphPowerSpectrum->SetBit(kCanDelete);
|
|---|
| 554 | }
|
|---|
| 555 |
|
|---|
| 556 | pad.cd(i);
|
|---|
| 557 |
|
|---|
| 558 | if (fHPowerProbability && fHPowerProbability->GetEntries() > 0)
|
|---|
| 559 | {
|
|---|
| 560 | gPad->SetLogy();
|
|---|
| 561 | fHPowerProbability->Draw();
|
|---|
| 562 | if (fFExpFit)
|
|---|
| 563 | {
|
|---|
| 564 | fFExpFit->SetLineColor(IsExpFitOK() ? kGreen : kRed);
|
|---|
| 565 | fFExpFit->Draw("same");
|
|---|
| 566 | }
|
|---|
| 567 | }
|
|---|
| 568 | }
|
|---|
| 569 |
|
|---|
| 570 |
|
|---|
| 571 | // --------------------------------------------------------------------------
|
|---|
| 572 | //
|
|---|
| 573 | // Fill fEvents with f
|
|---|
| 574 | // If size of fEvents is 0, initializes it to 512
|
|---|
| 575 | // If size of fEvents is smaller than fCurrentSize, double the size
|
|---|
| 576 | // Increase fCurrentSize by 1
|
|---|
| 577 | //
|
|---|
| 578 | void MHGausEvents::FillArray(const Float_t f)
|
|---|
| 579 | {
|
|---|
| 580 |
|
|---|
| 581 | if (fEvents.GetSize() == 0)
|
|---|
| 582 | fEvents.Set(512);
|
|---|
| 583 |
|
|---|
| 584 | if (fCurrentSize >= fEvents.GetSize())
|
|---|
| 585 | fEvents.Set(fEvents.GetSize()*2);
|
|---|
| 586 |
|
|---|
| 587 | fEvents.AddAt(f,fCurrentSize++);
|
|---|
| 588 | }
|
|---|
| 589 |
|
|---|
| 590 |
|
|---|
| 591 | // --------------------------------------------------------------------------
|
|---|
| 592 | //
|
|---|
| 593 | // Fills fHGausHist with f
|
|---|
| 594 | // Returns kFALSE, if overflow or underflow occurred, else kTRUE
|
|---|
| 595 | //
|
|---|
| 596 | Bool_t MHGausEvents::FillHist(const Float_t f)
|
|---|
| 597 | {
|
|---|
| 598 | return fHGausHist.Fill(f) > -1;
|
|---|
| 599 | }
|
|---|
| 600 |
|
|---|
| 601 | // --------------------------------------------------------------------------
|
|---|
| 602 | //
|
|---|
| 603 | // Executes:
|
|---|
| 604 | // - FillArray()
|
|---|
| 605 | // - FillHist()
|
|---|
| 606 | //
|
|---|
| 607 | Bool_t MHGausEvents::FillHistAndArray(const Float_t f)
|
|---|
| 608 | {
|
|---|
| 609 |
|
|---|
| 610 | FillArray(f);
|
|---|
| 611 | return FillHist(f);
|
|---|
| 612 | }
|
|---|
| 613 |
|
|---|
| 614 | // -------------------------------------------------------------------
|
|---|
| 615 | //
|
|---|
| 616 | // Fit fGausHist with a Gaussian after stripping zeros from both ends
|
|---|
| 617 | // and rebinned to the number of bins specified in fBinsAfterStripping
|
|---|
| 618 | //
|
|---|
| 619 | // The fit results are retrieved and stored in class-own variables.
|
|---|
| 620 | //
|
|---|
| 621 | // A flag IsGausFitOK() is set according to whether the fit probability
|
|---|
| 622 | // is smaller or bigger than fProbLimit, whether the NDF is bigger than
|
|---|
| 623 | // fNDFLimit and whether results are NaNs.
|
|---|
| 624 | //
|
|---|
| 625 | Bool_t MHGausEvents::FitGaus(Option_t *option, const Double_t xmin, const Double_t xmax)
|
|---|
| 626 | {
|
|---|
| 627 |
|
|---|
| 628 | if (IsGausFitOK())
|
|---|
| 629 | return kTRUE;
|
|---|
| 630 |
|
|---|
| 631 | //
|
|---|
| 632 | // First, strip the zeros from the edges which contain only zeros and rebin
|
|---|
| 633 | // to fBinsAfterStripping bins. If fBinsAfterStripping is 0, reduce bins only by
|
|---|
| 634 | // a factor 10.
|
|---|
| 635 | //
|
|---|
| 636 | // (ATTENTION: The Chisquare method is more sensitive,
|
|---|
| 637 | // the _less_ bins, you have!)
|
|---|
| 638 | //
|
|---|
| 639 | StripZeros(&fHGausHist,
|
|---|
| 640 | fBinsAfterStripping ? fBinsAfterStripping
|
|---|
| 641 | : (fNbins > 1000 ? fNbins/10 : 0));
|
|---|
| 642 |
|
|---|
| 643 | TAxis *axe = fHGausHist.GetXaxis();
|
|---|
| 644 | //
|
|---|
| 645 | // Get the fitting ranges
|
|---|
| 646 | //
|
|---|
| 647 | Axis_t rmin = ((xmin==0.) && (xmax==0.)) ? fHGausHist.GetBinCenter(axe->GetFirst()) : xmin;
|
|---|
| 648 | Axis_t rmax = ((xmin==0.) && (xmax==0.)) ? fHGausHist.GetBinCenter(axe->GetLast()) : xmax;
|
|---|
| 649 |
|
|---|
| 650 | //
|
|---|
| 651 | // First guesses for the fit (should be as close to reality as possible,
|
|---|
| 652 | //
|
|---|
| 653 | const Stat_t entries = fHGausHist.Integral(axe->FindBin(rmin),axe->FindBin(rmax),"width");
|
|---|
| 654 | const Double_t mu_guess = fHGausHist.GetBinCenter(fHGausHist.GetMaximumBin());
|
|---|
| 655 | const Double_t sigma_guess = fHGausHist.GetRMS();
|
|---|
| 656 | const Double_t area_guess = entries/TMath::Sqrt(TMath::TwoPi())/sigma_guess;
|
|---|
| 657 |
|
|---|
| 658 | fFGausFit = new TF1("GausFit","gaus",rmin,rmax);
|
|---|
| 659 |
|
|---|
| 660 | if (!fFGausFit)
|
|---|
| 661 | {
|
|---|
| 662 | *fLog << warn << dbginf << "WARNING: Could not create fit function for Gauss fit "
|
|---|
| 663 | << "in: " << fName << endl;
|
|---|
| 664 | return kFALSE;
|
|---|
| 665 | }
|
|---|
| 666 |
|
|---|
| 667 | //
|
|---|
| 668 | // For the fits, we have to take special care since ROOT
|
|---|
| 669 | // has stored the function pointer in a global list which
|
|---|
| 670 | // lead to removing the object twice. We have to take out
|
|---|
| 671 | // the following functions of the global list of functions
|
|---|
| 672 | // as well:
|
|---|
| 673 | //
|
|---|
| 674 | gROOT->GetListOfFunctions()->Remove(fFGausFit);
|
|---|
| 675 | fFGausFit->SetParameters(area_guess,mu_guess,sigma_guess);
|
|---|
| 676 | fFGausFit->SetParNames("Area","#mu","#sigma");
|
|---|
| 677 | fFGausFit->SetParLimits(0,0.,area_guess*25.);
|
|---|
| 678 | fFGausFit->SetParLimits(1,rmin,rmax);
|
|---|
| 679 | fFGausFit->SetParLimits(2,0.,rmax-rmin);
|
|---|
| 680 | fFGausFit->SetRange(rmin,rmax);
|
|---|
| 681 |
|
|---|
| 682 | fHGausHist.Fit(fFGausFit,option);
|
|---|
| 683 |
|
|---|
| 684 |
|
|---|
| 685 | fMean = fFGausFit->GetParameter(1);
|
|---|
| 686 | fSigma = fFGausFit->GetParameter(2);
|
|---|
| 687 | fMeanErr = fFGausFit->GetParError(1);
|
|---|
| 688 | fSigmaErr = fFGausFit->GetParError(2);
|
|---|
| 689 | fProb = fFGausFit->GetProb();
|
|---|
| 690 | //
|
|---|
| 691 | // The fit result is accepted under condition:
|
|---|
| 692 | // 1) The results are not nan's
|
|---|
| 693 | // 2) The NDF is not smaller than fNDFLimit (default: fgNDFLimit)
|
|---|
| 694 | // 3) The Probability is greater than fProbLimit (default: fgProbLimit)
|
|---|
| 695 | //
|
|---|
| 696 | if ( TMath::IsNaN(fMean)
|
|---|
| 697 | || TMath::IsNaN(fMeanErr)
|
|---|
| 698 | || TMath::IsNaN(fProb)
|
|---|
| 699 | || TMath::IsNaN(fSigma)
|
|---|
| 700 | || TMath::IsNaN(fSigmaErr)
|
|---|
| 701 | || fFGausFit->GetNDF() < fNDFLimit
|
|---|
| 702 | || fProb < fProbLimit )
|
|---|
| 703 | return kFALSE;
|
|---|
| 704 |
|
|---|
| 705 | SetGausFitOK(kTRUE);
|
|---|
| 706 | return kTRUE;
|
|---|
| 707 | }
|
|---|
| 708 |
|
|---|
| 709 |
|
|---|
| 710 | const Double_t MHGausEvents::GetChiSquare() const
|
|---|
| 711 | {
|
|---|
| 712 | return ( fFGausFit ? fFGausFit->GetChisquare() : 0.);
|
|---|
| 713 | }
|
|---|
| 714 |
|
|---|
| 715 |
|
|---|
| 716 | const Double_t MHGausEvents::GetExpChiSquare() const
|
|---|
| 717 | {
|
|---|
| 718 | return ( fFExpFit ? fFExpFit->GetChisquare() : 0.);
|
|---|
| 719 | }
|
|---|
| 720 |
|
|---|
| 721 |
|
|---|
| 722 | const Int_t MHGausEvents::GetExpNdf() const
|
|---|
| 723 | {
|
|---|
| 724 | return ( fFExpFit ? fFExpFit->GetNDF() : 0);
|
|---|
| 725 | }
|
|---|
| 726 |
|
|---|
| 727 |
|
|---|
| 728 | const Double_t MHGausEvents::GetExpProb() const
|
|---|
| 729 | {
|
|---|
| 730 | return ( fFExpFit ? fFExpFit->GetProb() : 0.);
|
|---|
| 731 | }
|
|---|
| 732 |
|
|---|
| 733 |
|
|---|
| 734 | const Int_t MHGausEvents::GetNdf() const
|
|---|
| 735 | {
|
|---|
| 736 | return ( fFGausFit ? fFGausFit->GetNDF() : 0);
|
|---|
| 737 | }
|
|---|
| 738 |
|
|---|
| 739 | const Double_t MHGausEvents::GetOffset() const
|
|---|
| 740 | {
|
|---|
| 741 | return ( fFExpFit ? fFExpFit->GetParameter(0) : 0.);
|
|---|
| 742 | }
|
|---|
| 743 |
|
|---|
| 744 |
|
|---|
| 745 |
|
|---|
| 746 | // --------------------------------------------------------------------------
|
|---|
| 747 | //
|
|---|
| 748 | // If fFExpFit exists, returns fit parameter 1 (Slope of Exponential fit),
|
|---|
| 749 | // otherwise 0.
|
|---|
| 750 | //
|
|---|
| 751 | const Double_t MHGausEvents::GetSlope() const
|
|---|
| 752 | {
|
|---|
| 753 | return ( fFExpFit ? fFExpFit->GetParameter(1) : 0.);
|
|---|
| 754 | }
|
|---|
| 755 |
|
|---|
| 756 | // --------------------------------------------------------------------------
|
|---|
| 757 | //
|
|---|
| 758 | // Default InitBins, can be overloaded.
|
|---|
| 759 | //
|
|---|
| 760 | // Executes:
|
|---|
| 761 | // - fHGausHist.SetBins(fNbins,fFirst,fLast)
|
|---|
| 762 | //
|
|---|
| 763 | void MHGausEvents::InitBins()
|
|---|
| 764 | {
|
|---|
| 765 | fHGausHist.SetBins(fNbins,fFirst,fLast);
|
|---|
| 766 | }
|
|---|
| 767 |
|
|---|
| 768 | // --------------------------------------------------------------------------
|
|---|
| 769 | //
|
|---|
| 770 | // Return kFALSE if number of entries is 0
|
|---|
| 771 | //
|
|---|
| 772 | const Bool_t MHGausEvents::IsEmpty() const
|
|---|
| 773 | {
|
|---|
| 774 | return !(fHGausHist.GetEntries());
|
|---|
| 775 | }
|
|---|
| 776 |
|
|---|
| 777 | // --------------------------------------------------------------------------
|
|---|
| 778 | //
|
|---|
| 779 | // Return kTRUE if number of entries is bin content of fNbins+1
|
|---|
| 780 | //
|
|---|
| 781 | const Bool_t MHGausEvents::IsOnlyOverflow() const
|
|---|
| 782 | {
|
|---|
| 783 | return fHGausHist.GetEntries() == fHGausHist.GetBinContent(fNbins+1);
|
|---|
| 784 | }
|
|---|
| 785 |
|
|---|
| 786 | // --------------------------------------------------------------------------
|
|---|
| 787 | //
|
|---|
| 788 | // Return kTRUE if number of entries is bin content of 0
|
|---|
| 789 | //
|
|---|
| 790 | const Bool_t MHGausEvents::IsOnlyUnderflow() const
|
|---|
| 791 | {
|
|---|
| 792 | return fHGausHist.GetEntries() == fHGausHist.GetBinContent(0);
|
|---|
| 793 | }
|
|---|
| 794 |
|
|---|
| 795 |
|
|---|
| 796 | const Bool_t MHGausEvents::IsExcluded() const
|
|---|
| 797 | {
|
|---|
| 798 | return TESTBIT(fFlags,kExcluded);
|
|---|
| 799 | }
|
|---|
| 800 |
|
|---|
| 801 |
|
|---|
| 802 | const Bool_t MHGausEvents::IsExpFitOK() const
|
|---|
| 803 | {
|
|---|
| 804 | return TESTBIT(fFlags,kExpFitOK);
|
|---|
| 805 | }
|
|---|
| 806 |
|
|---|
| 807 | const Bool_t MHGausEvents::IsFourierSpectrumOK() const
|
|---|
| 808 | {
|
|---|
| 809 | return TESTBIT(fFlags,kFourierSpectrumOK);
|
|---|
| 810 | }
|
|---|
| 811 |
|
|---|
| 812 |
|
|---|
| 813 | const Bool_t MHGausEvents::IsGausFitOK() const
|
|---|
| 814 | {
|
|---|
| 815 | return TESTBIT(fFlags,kGausFitOK);
|
|---|
| 816 | }
|
|---|
| 817 |
|
|---|
| 818 |
|
|---|
| 819 | // -----------------------------------------------------------------------------------
|
|---|
| 820 | //
|
|---|
| 821 | // A default print
|
|---|
| 822 | //
|
|---|
| 823 | void MHGausEvents::Print(const Option_t *o) const
|
|---|
| 824 | {
|
|---|
| 825 |
|
|---|
| 826 | *fLog << all << endl;
|
|---|
| 827 | *fLog << all << "Results of the Gauss Fit in: " << fName << endl;
|
|---|
| 828 | *fLog << all << "Mean: " << GetMean() << endl;
|
|---|
| 829 | *fLog << all << "Sigma: " << GetSigma() << endl;
|
|---|
| 830 | *fLog << all << "Chisquare: " << GetChiSquare() << endl;
|
|---|
| 831 | *fLog << all << "DoF: " << GetNdf() << endl;
|
|---|
| 832 | *fLog << all << "Probability: " << GetProb() << endl;
|
|---|
| 833 | *fLog << all << endl;
|
|---|
| 834 |
|
|---|
| 835 | }
|
|---|
| 836 |
|
|---|
| 837 |
|
|---|
| 838 | // --------------------------------------------------------------------------
|
|---|
| 839 | //
|
|---|
| 840 | // Default Reset(), can be overloaded.
|
|---|
| 841 | //
|
|---|
| 842 | // Executes:
|
|---|
| 843 | // - Clear()
|
|---|
| 844 | // - fHGausHist.Reset()
|
|---|
| 845 | // - fEvents.Set(0)
|
|---|
| 846 | //
|
|---|
| 847 | void MHGausEvents::Reset()
|
|---|
| 848 | {
|
|---|
| 849 |
|
|---|
| 850 | Clear();
|
|---|
| 851 | fHGausHist.Reset();
|
|---|
| 852 | fEvents.Set(0);
|
|---|
| 853 |
|
|---|
| 854 | }
|
|---|
| 855 |
|
|---|
| 856 | // --------------------------------------------------------------------------
|
|---|
| 857 | //
|
|---|
| 858 | // Set Excluded bit from outside
|
|---|
| 859 | //
|
|---|
| 860 | void MHGausEvents::SetExcluded(const Bool_t b)
|
|---|
| 861 | {
|
|---|
| 862 | b ? SETBIT(fFlags,kExcluded) : CLRBIT(fFlags,kExcluded);
|
|---|
| 863 | }
|
|---|
| 864 |
|
|---|
| 865 |
|
|---|
| 866 | // -------------------------------------------------------------------
|
|---|
| 867 | //
|
|---|
| 868 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
|---|
| 869 | //
|
|---|
| 870 | void MHGausEvents::SetExpFitOK(const Bool_t b)
|
|---|
| 871 | {
|
|---|
| 872 |
|
|---|
| 873 | b ? SETBIT(fFlags,kExpFitOK) : CLRBIT(fFlags,kExpFitOK);
|
|---|
| 874 | }
|
|---|
| 875 |
|
|---|
| 876 | // -------------------------------------------------------------------
|
|---|
| 877 | //
|
|---|
| 878 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
|---|
| 879 | //
|
|---|
| 880 | void MHGausEvents::SetFourierSpectrumOK(const Bool_t b)
|
|---|
| 881 | {
|
|---|
| 882 |
|
|---|
| 883 | b ? SETBIT(fFlags,kFourierSpectrumOK) : CLRBIT(fFlags,kFourierSpectrumOK);
|
|---|
| 884 | }
|
|---|
| 885 |
|
|---|
| 886 |
|
|---|
| 887 | // -------------------------------------------------------------------
|
|---|
| 888 | //
|
|---|
| 889 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
|---|
| 890 | //
|
|---|
| 891 | void MHGausEvents::SetGausFitOK(const Bool_t b)
|
|---|
| 892 | {
|
|---|
| 893 | b ? SETBIT(fFlags,kGausFitOK) : CLRBIT(fFlags,kGausFitOK);
|
|---|
| 894 |
|
|---|
| 895 | }
|
|---|
| 896 |
|
|---|