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 | // - fFGausFit
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166 | // - fFExpFit
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167 | // - fPowerSpectrum
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168 | // - fGraphEvents
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169 | // - fGraphPowerSpectrum
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170 | //
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171 | MHGausEvents::~MHGausEvents()
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172 | {
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173 |
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174 | // delete histograms
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175 | if (fHPowerProbability)
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176 | delete fHPowerProbability;
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177 |
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178 | // delete fits
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179 | if (fFGausFit)
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180 | delete fFGausFit;
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181 |
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182 | if (fFExpFit)
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183 | delete fFExpFit;
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184 |
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185 | // delete arrays
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186 | if (fPowerSpectrum)
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187 | delete fPowerSpectrum;
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188 |
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189 | // delete graphs
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190 | if (fGraphEvents)
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191 | delete fGraphEvents;
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192 |
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193 | if (fGraphPowerSpectrum)
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194 | delete fGraphPowerSpectrum;
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195 |
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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 | // Default Clear(), can be overloaded.
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201 | //
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202 | // Sets:
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203 | // - all other pointers to NULL
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204 | // - all variables to 0. and keep fEventFrequency
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205 | // - all flags to kFALSE
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206 | //
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207 | // Deletes (if not NULL):
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208 | // - all pointers
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209 | //
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210 | void MHGausEvents::Clear(Option_t *o)
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211 | {
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212 |
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213 | SetGausFitOK ( kFALSE );
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214 | SetExpFitOK ( kFALSE );
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215 | SetFourierSpectrumOK( kFALSE );
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216 | SetExcluded ( kFALSE );
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217 |
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218 | fMean = 0.;
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219 | fSigma = 0.;
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220 | fMeanErr = 0.;
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221 | fSigmaErr = 0.;
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222 | fProb = 0.;
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223 |
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224 | fCurrentSize = 0;
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225 |
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226 | if (fHPowerProbability)
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227 | {
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228 | delete fHPowerProbability;
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229 | fHPowerProbability = NULL;
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230 | }
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231 |
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232 | // delete fits
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233 | if (fFGausFit)
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234 | {
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235 | delete fFGausFit;
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236 | fFGausFit = NULL;
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237 | }
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238 |
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239 | if (fFExpFit)
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240 | {
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241 | delete fFExpFit;
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242 | fFExpFit = NULL;
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243 | }
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244 |
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245 | // delete arrays
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246 | if (fPowerSpectrum)
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247 | {
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248 | delete fPowerSpectrum;
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249 | fPowerSpectrum = NULL;
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250 | }
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251 |
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252 | // delete graphs
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253 | if (fGraphEvents)
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254 | {
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255 | delete fGraphEvents;
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256 | fGraphEvents = NULL;
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257 | }
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258 |
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259 | if (fGraphPowerSpectrum)
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260 | {
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261 | delete fGraphPowerSpectrum;
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262 | fGraphPowerSpectrum = NULL;
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263 | }
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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 | // Use the MH::Clone function and clone additionally the rest of the
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269 | // data members.
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270 | //
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271 | TObject *MHGausEvents::Clone(const char *name) const
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272 | {
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273 |
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274 | MHGausEvents &pix = (MHGausEvents&)*MH::Clone(name);
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275 |
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276 | /*
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277 | //
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278 | // Copy data members
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279 | //
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280 | pix.fBinsAfterStripping = fBinsAfterStripping;
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281 | pix.fCurrentSize = fCurrentSize;
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282 | pix.fFlags = fFlags;
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283 | pix.fPowerProbabilityBins = fPowerProbabilityBins;
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284 |
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285 | if (fHPowerProbability)
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286 | pix.fHPowerProbability=(TH1I*)fHPowerProbability->Clone();
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287 |
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288 | if (fPowerSpectrum)
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289 | pix.fPowerSpectrum = new TArrayF(*fPowerSpectrum);
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290 |
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291 | if (fFGausFit)
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292 | pix.fFGausFit=(TF1*)fFGausFit->Clone();
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293 | if (fFExpFit)
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294 | pix.fFExpFit=(TF1*)fFExpFit->Clone();
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295 |
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296 | pix.fFirst = fFirst;
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297 |
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298 | if (fGraphEvents)
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299 | pix.fGraphEvents=(TGraph*)fGraphEvents->Clone();
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300 | if (fGraphPowerSpectrum)
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301 | pix.fGraphPowerSpectrum=(TGraph*)fGraphPowerSpectrum->Clone();
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302 |
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303 | pix.fHGausHist = fHGausHist;
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304 |
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305 | pix.fEventFrequency = fEventFrequency;
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306 | pix.fLast = fLast;
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307 | pix.fMean = fMean;
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308 | pix.fMeanErr = fMeanErr;
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309 | pix.fNbins = fNbins;
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310 | pix.fNDFLimit = fNDFLimit;
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311 | pix.fSigma = fSigma;
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312 | pix.fSigmaErr = fSigmaErr;
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313 | pix.fProb = fProb;
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314 | pix.fProbLimit = fProbLimit;
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315 | */
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316 | return &pix;
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317 | }
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318 |
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319 |
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320 | // -----------------------------------------------------------------------------
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321 | //
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322 | // Create the x-axis for the event graph
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323 | //
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324 | Float_t *MHGausEvents::CreateEventXaxis(Int_t n)
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325 | {
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326 |
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327 | Float_t *xaxis = new Float_t[n];
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328 |
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329 | if (fEventFrequency)
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330 | for (Int_t i=0;i<n;i++)
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331 | xaxis[i] = (Float_t)i/fEventFrequency;
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332 | else
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333 | for (Int_t i=0;i<n;i++)
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334 | xaxis[i] = (Float_t)i;
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335 |
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336 | return xaxis;
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337 |
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338 | }
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339 |
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340 |
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341 | // -------------------------------------------------------------------
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342 | //
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343 | // Create the fourier spectrum using the class MFFT.
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344 | // The result is projected into a histogram and fitted by an exponential
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345 | //
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346 | void MHGausEvents::CreateFourierSpectrum()
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347 | {
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348 |
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349 | if (fFExpFit)
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350 | return;
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351 |
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352 | if (fEvents.GetSize() < 8)
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353 | {
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354 | *fLog << warn << "Cannot create Fourier spectrum in: " << fName
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355 | << ". Number of events smaller than 8 " << endl;
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356 | return;
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357 | }
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358 |
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359 | //
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360 | // The number of entries HAS to be a potence of 2,
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361 | // so we can only cut out from the last potence of 2 to the rest.
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362 | // Another possibility would be to fill everything with
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363 | // zeros, but that gives a low frequency peak, which we would
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364 | // have to cut out later again.
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365 | //
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366 | // So, we have to live with the possibility that at the end
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367 | // of the calibration run, something has happened without noticing
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368 | // it...
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369 | //
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370 |
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371 | // This cuts only the non-used zero's, but MFFT will later cut the rest
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372 | fEvents.StripZeros();
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373 |
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374 | if (fEvents.GetSize() < 8)
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375 | {
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376 | /*
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377 | *fLog << warn << "Cannot create Fourier spectrum. " << endl;
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378 | *fLog << warn << "Number of events (after stripping of zeros) is smaller than 8 "
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379 | << "in pixel: " << fPixId << endl;
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380 | */
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381 | return;
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382 | }
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383 |
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384 | MFFT fourier;
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385 |
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386 | fPowerSpectrum = fourier.PowerSpectrumDensity(&fEvents);
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387 | fHPowerProbability = ProjectArray(*fPowerSpectrum, fPowerProbabilityBins,
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388 | Form("%s%s","PowerProb",GetName()),
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389 | "Probability of Power occurrance");
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390 | fHPowerProbability->SetXTitle("P(f)");
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391 | fHPowerProbability->SetYTitle("Counts");
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392 | fHPowerProbability->GetYaxis()->CenterTitle();
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393 | fHPowerProbability->SetDirectory(NULL);
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394 | fHPowerProbability->SetBit(kCanDelete);
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395 | //
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396 | // First guesses for the fit (should be as close to reality as possible,
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397 | //
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398 | const Double_t xmax = fHPowerProbability->GetXaxis()->GetXmax();
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399 |
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400 | fFExpFit = new TF1("FExpFit","exp([0]-[1]*x)",0.,xmax);
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401 |
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402 | const Double_t slope_guess = (TMath::Log(fHPowerProbability->GetEntries())+1.)/xmax;
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403 | const Double_t offset_guess = slope_guess*xmax;
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404 |
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405 | fFExpFit->SetParameters(offset_guess, slope_guess);
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406 | fFExpFit->SetParNames("Offset","Slope");
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407 | fFExpFit->SetParLimits(0,offset_guess/2.,2.*offset_guess);
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408 | fFExpFit->SetParLimits(1,slope_guess/1.5,1.5*slope_guess);
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409 | fFExpFit->SetRange(0.,xmax);
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410 |
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411 | fHPowerProbability->Fit(fFExpFit,"RQL0");
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412 |
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413 | if (GetExpProb() > fProbLimit)
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414 | SetExpFitOK(kTRUE);
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415 |
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416 | //
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417 | // For the moment, this is the only check, later we can add more...
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418 | //
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419 | SetFourierSpectrumOK(IsExpFitOK());
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420 |
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421 | return;
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422 | }
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423 |
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424 | // ----------------------------------------------------------------------------------
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425 | //
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426 | // Create a graph to display the array fEvents
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427 | // If the variable fEventFrequency is set, the x-axis is transformed into real time.
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428 | //
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429 | void MHGausEvents::CreateGraphEvents()
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430 | {
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431 |
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432 | fEvents.StripZeros();
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433 |
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434 | const Int_t n = fEvents.GetSize();
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435 |
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436 | if (n==0)
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437 | return;
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438 |
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439 | fGraphEvents = new TGraph(n,CreateEventXaxis(n),fEvents.GetArray());
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440 | fGraphEvents->SetTitle("Evolution of Events with time");
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441 | fGraphEvents->GetXaxis()->SetTitle((fEventFrequency) ? "Time [s]" : "Event Nr.");
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442 | fGraphEvents->GetYaxis()->SetTitle(fHGausHist.GetXaxis()->GetTitle());
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443 | fGraphEvents->GetYaxis()->CenterTitle();
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444 | }
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445 |
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446 | // ----------------------------------------------------------------------------------
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447 | //
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448 | // Create a graph to display the array fPowerSpectrum
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449 | // If the variable fEventFrequency is set, the x-axis is transformed into real frequency.
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450 | //
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451 | void MHGausEvents::CreateGraphPowerSpectrum()
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452 | {
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453 |
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454 | fPowerSpectrum->StripZeros();
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455 |
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456 | const Int_t n = fPowerSpectrum->GetSize();
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457 |
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458 | fGraphPowerSpectrum = new TGraph(n,CreatePSDXaxis(n),fPowerSpectrum->GetArray());
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459 | fGraphPowerSpectrum->SetTitle("Power Spectrum Density");
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460 | fGraphPowerSpectrum->GetXaxis()->SetTitle((fEventFrequency) ? "Frequency [Hz]" : "Frequency");
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461 | fGraphPowerSpectrum->GetYaxis()->SetTitle("P(f)");
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462 | fGraphPowerSpectrum->GetYaxis()->CenterTitle();
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463 |
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464 | }
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465 |
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466 |
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467 | // -----------------------------------------------------------------------------
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468 | //
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469 | // Create the x-axis for the event graph
|
---|
470 | //
|
---|
471 | Float_t *MHGausEvents::CreatePSDXaxis(Int_t n)
|
---|
472 | {
|
---|
473 |
|
---|
474 | Float_t *xaxis = new Float_t[n];
|
---|
475 |
|
---|
476 | if (fEventFrequency)
|
---|
477 | for (Int_t i=0;i<n;i++)
|
---|
478 | xaxis[i] = 0.5*(Float_t)i*fEventFrequency/n;
|
---|
479 | else
|
---|
480 | for (Int_t i=0;i<n;i++)
|
---|
481 | xaxis[i] = 0.5*(Float_t)i/n;
|
---|
482 |
|
---|
483 | return xaxis;
|
---|
484 |
|
---|
485 | }
|
---|
486 |
|
---|
487 | // -----------------------------------------------------------------------------
|
---|
488 | //
|
---|
489 | // Default draw:
|
---|
490 | //
|
---|
491 | // The following options can be chosen:
|
---|
492 | //
|
---|
493 | // "EVENTS": displays a TGraph of the array fEvents
|
---|
494 | // "FOURIER": display a TGraph of the fourier transform of fEvents
|
---|
495 | // displays the projection of the fourier transform with the fit
|
---|
496 | //
|
---|
497 | // The following picture shows a typical outcome of call to Draw("fourierevents"):
|
---|
498 | // - The first plot shows the distribution of the values with the Gauss fit
|
---|
499 | // (which did not succeed, in this case, for obvious reasons)
|
---|
500 | // - The second plot shows the TGraph with the events vs. time
|
---|
501 | // - The third plot shows the fourier transform and a small peak at about 85 Hz.
|
---|
502 | // - The fourth plot shows the projection of the fourier components and an exponential
|
---|
503 | // fit, with the result that the observed deviation is still statistical with a
|
---|
504 | // probability of 0.5%.
|
---|
505 | //
|
---|
506 | //Begin_Html
|
---|
507 | /*
|
---|
508 | <img src="images/MHGausEventsDraw.gif">
|
---|
509 | */
|
---|
510 | //End_Html
|
---|
511 | //
|
---|
512 | void MHGausEvents::Draw(const Option_t *opt)
|
---|
513 | {
|
---|
514 |
|
---|
515 | TVirtualPad *pad = gPad ? gPad : MH::MakeDefCanvas(this,600, 900);
|
---|
516 |
|
---|
517 | TString option(opt);
|
---|
518 | option.ToLower();
|
---|
519 |
|
---|
520 | Int_t win = 1;
|
---|
521 |
|
---|
522 | if (option.Contains("events"))
|
---|
523 | win += 1;
|
---|
524 | if (option.Contains("fourier"))
|
---|
525 | win += 2;
|
---|
526 | if (IsEmpty())
|
---|
527 | win--;
|
---|
528 |
|
---|
529 | pad->SetBorderMode(0);
|
---|
530 | pad->Divide(1,win);
|
---|
531 |
|
---|
532 | Int_t cwin = 1;
|
---|
533 |
|
---|
534 | gPad->SetTicks();
|
---|
535 |
|
---|
536 | if (!IsEmpty())
|
---|
537 | {
|
---|
538 | pad->cd(cwin++);
|
---|
539 |
|
---|
540 | if (!IsOnlyOverflow() && !IsOnlyUnderflow())
|
---|
541 | gPad->SetLogy();
|
---|
542 |
|
---|
543 | fHGausHist.Draw(option);
|
---|
544 |
|
---|
545 | if (fFGausFit)
|
---|
546 | {
|
---|
547 | fFGausFit->SetLineColor(IsGausFitOK() ? kGreen : kRed);
|
---|
548 | fFGausFit->Draw("same");
|
---|
549 | }
|
---|
550 | }
|
---|
551 |
|
---|
552 | if (option.Contains("events"))
|
---|
553 | {
|
---|
554 | pad->cd(cwin++);
|
---|
555 | DrawEvents();
|
---|
556 | }
|
---|
557 | if (option.Contains("fourier"))
|
---|
558 | {
|
---|
559 | pad->cd(cwin++);
|
---|
560 | DrawPowerSpectrum(*pad,cwin);
|
---|
561 | }
|
---|
562 | }
|
---|
563 |
|
---|
564 | void MHGausEvents::DrawEvents(Option_t *opt)
|
---|
565 | {
|
---|
566 |
|
---|
567 | if (!fGraphEvents)
|
---|
568 | CreateGraphEvents();
|
---|
569 |
|
---|
570 | if (!fGraphEvents)
|
---|
571 | return;
|
---|
572 |
|
---|
573 | fGraphEvents->SetBit(kCanDelete);
|
---|
574 | fGraphEvents->SetTitle("Events with time");
|
---|
575 |
|
---|
576 | TString option(opt);
|
---|
577 | option.ToLower();
|
---|
578 |
|
---|
579 | if (option.Contains("same"))
|
---|
580 | {
|
---|
581 | option.ReplaceAll("same","");
|
---|
582 | fGraphEvents->Draw(option+"L");
|
---|
583 | }
|
---|
584 | else
|
---|
585 | fGraphEvents->Draw(option+"AL");
|
---|
586 | }
|
---|
587 |
|
---|
588 |
|
---|
589 | void MHGausEvents::DrawPowerSpectrum(TVirtualPad &pad, Int_t i)
|
---|
590 | {
|
---|
591 |
|
---|
592 | if (fPowerSpectrum)
|
---|
593 | {
|
---|
594 | if (!fGraphPowerSpectrum)
|
---|
595 | CreateGraphPowerSpectrum();
|
---|
596 |
|
---|
597 | fGraphPowerSpectrum->Draw("AL");
|
---|
598 | fGraphPowerSpectrum->SetBit(kCanDelete);
|
---|
599 | }
|
---|
600 |
|
---|
601 | pad.cd(i);
|
---|
602 |
|
---|
603 | if (fHPowerProbability && fHPowerProbability->GetEntries() > 0)
|
---|
604 | {
|
---|
605 | gPad->SetLogy();
|
---|
606 | fHPowerProbability->Draw();
|
---|
607 | if (fFExpFit)
|
---|
608 | {
|
---|
609 | fFExpFit->SetLineColor(IsExpFitOK() ? kGreen : kRed);
|
---|
610 | fFExpFit->Draw("same");
|
---|
611 | }
|
---|
612 | }
|
---|
613 | }
|
---|
614 |
|
---|
615 |
|
---|
616 | // --------------------------------------------------------------------------
|
---|
617 | //
|
---|
618 | // Fill fEvents with f
|
---|
619 | // If size of fEvents is 0, initializes it to 512
|
---|
620 | // If size of fEvents is smaller than fCurrentSize, double the size
|
---|
621 | // Increase fCurrentSize by 1
|
---|
622 | //
|
---|
623 | void MHGausEvents::FillArray(const Float_t f)
|
---|
624 | {
|
---|
625 |
|
---|
626 | if (fEvents.GetSize() == 0)
|
---|
627 | fEvents.Set(512);
|
---|
628 |
|
---|
629 | if (fCurrentSize >= fEvents.GetSize())
|
---|
630 | fEvents.Set(fEvents.GetSize()*2);
|
---|
631 |
|
---|
632 | fEvents.AddAt(f,fCurrentSize++);
|
---|
633 | }
|
---|
634 |
|
---|
635 |
|
---|
636 | // --------------------------------------------------------------------------
|
---|
637 | //
|
---|
638 | // Fills fHGausHist with f
|
---|
639 | // Returns kFALSE, if overflow or underflow occurred, else kTRUE
|
---|
640 | //
|
---|
641 | Bool_t MHGausEvents::FillHist(const Float_t f)
|
---|
642 | {
|
---|
643 | return fHGausHist.Fill(f) > -1;
|
---|
644 | }
|
---|
645 |
|
---|
646 | // --------------------------------------------------------------------------
|
---|
647 | //
|
---|
648 | // Executes:
|
---|
649 | // - FillArray()
|
---|
650 | // - FillHist()
|
---|
651 | //
|
---|
652 | Bool_t MHGausEvents::FillHistAndArray(const Float_t f)
|
---|
653 | {
|
---|
654 |
|
---|
655 | FillArray(f);
|
---|
656 | return FillHist(f);
|
---|
657 | }
|
---|
658 |
|
---|
659 | // -------------------------------------------------------------------
|
---|
660 | //
|
---|
661 | // Fit fGausHist with a Gaussian after stripping zeros from both ends
|
---|
662 | // and rebinned to the number of bins specified in fBinsAfterStripping
|
---|
663 | //
|
---|
664 | // The fit results are retrieved and stored in class-own variables.
|
---|
665 | //
|
---|
666 | // A flag IsGausFitOK() is set according to whether the fit probability
|
---|
667 | // is smaller or bigger than fProbLimit, whether the NDF is bigger than
|
---|
668 | // fNDFLimit and whether results are NaNs.
|
---|
669 | //
|
---|
670 | Bool_t MHGausEvents::FitGaus(Option_t *option, const Double_t xmin, const Double_t xmax)
|
---|
671 | {
|
---|
672 |
|
---|
673 | if (IsGausFitOK())
|
---|
674 | return kTRUE;
|
---|
675 |
|
---|
676 | //
|
---|
677 | // First, strip the zeros from the edges which contain only zeros and rebin
|
---|
678 | // to fBinsAfterStripping bins. If fBinsAfterStripping is 0, reduce bins only by
|
---|
679 | // a factor 10.
|
---|
680 | //
|
---|
681 | // (ATTENTION: The Chisquare method is more sensitive,
|
---|
682 | // the _less_ bins, you have!)
|
---|
683 | //
|
---|
684 | StripZeros(&fHGausHist,
|
---|
685 | fBinsAfterStripping ? fBinsAfterStripping
|
---|
686 | : (fNbins > 1000 ? fNbins/10 : 0));
|
---|
687 |
|
---|
688 | TAxis *axe = fHGausHist.GetXaxis();
|
---|
689 | //
|
---|
690 | // Get the fitting ranges
|
---|
691 | //
|
---|
692 | Axis_t rmin = ((xmin==0.) && (xmax==0.)) ? fHGausHist.GetBinCenter(axe->GetFirst()) : xmin;
|
---|
693 | Axis_t rmax = ((xmin==0.) && (xmax==0.)) ? fHGausHist.GetBinCenter(axe->GetLast()) : xmax;
|
---|
694 |
|
---|
695 | //
|
---|
696 | // First guesses for the fit (should be as close to reality as possible,
|
---|
697 | //
|
---|
698 | const Stat_t entries = fHGausHist.Integral(axe->FindBin(rmin),axe->FindBin(rmax),"width");
|
---|
699 | const Double_t mu_guess = fHGausHist.GetBinCenter(fHGausHist.GetMaximumBin());
|
---|
700 | const Double_t sigma_guess = fHGausHist.GetRMS();
|
---|
701 | const Double_t area_guess = entries/TMath::Sqrt(TMath::TwoPi())/sigma_guess;
|
---|
702 |
|
---|
703 | fFGausFit = new TF1("GausFit","gaus",rmin,rmax);
|
---|
704 |
|
---|
705 | if (!fFGausFit)
|
---|
706 | {
|
---|
707 | *fLog << warn << dbginf << "WARNING: Could not create fit function for Gauss fit "
|
---|
708 | << "in: " << fName << endl;
|
---|
709 | return kFALSE;
|
---|
710 | }
|
---|
711 |
|
---|
712 | fFGausFit->SetParameters(area_guess,mu_guess,sigma_guess);
|
---|
713 | fFGausFit->SetParNames("Area","#mu","#sigma");
|
---|
714 | fFGausFit->SetParLimits(0,0.,area_guess*25.);
|
---|
715 | fFGausFit->SetParLimits(1,rmin,rmax);
|
---|
716 | fFGausFit->SetParLimits(2,0.,rmax-rmin);
|
---|
717 | fFGausFit->SetRange(rmin,rmax);
|
---|
718 |
|
---|
719 | fHGausHist.Fit(fFGausFit,option);
|
---|
720 |
|
---|
721 |
|
---|
722 | fMean = fFGausFit->GetParameter(1);
|
---|
723 | fSigma = fFGausFit->GetParameter(2);
|
---|
724 | fMeanErr = fFGausFit->GetParError(1);
|
---|
725 | fSigmaErr = fFGausFit->GetParError(2);
|
---|
726 | fProb = fFGausFit->GetProb();
|
---|
727 | //
|
---|
728 | // The fit result is accepted under condition:
|
---|
729 | // 1) The results are not nan's
|
---|
730 | // 2) The NDF is not smaller than fNDFLimit (default: fgNDFLimit)
|
---|
731 | // 3) The Probability is greater than fProbLimit (default: fgProbLimit)
|
---|
732 | //
|
---|
733 | if ( TMath::IsNaN(fMean)
|
---|
734 | || TMath::IsNaN(fMeanErr)
|
---|
735 | || TMath::IsNaN(fProb)
|
---|
736 | || TMath::IsNaN(fSigma)
|
---|
737 | || TMath::IsNaN(fSigmaErr)
|
---|
738 | || fFGausFit->GetNDF() < fNDFLimit
|
---|
739 | || fProb < fProbLimit )
|
---|
740 | return kFALSE;
|
---|
741 |
|
---|
742 | SetGausFitOK(kTRUE);
|
---|
743 | return kTRUE;
|
---|
744 | }
|
---|
745 |
|
---|
746 |
|
---|
747 | const Double_t MHGausEvents::GetChiSquare() const
|
---|
748 | {
|
---|
749 | return ( fFGausFit ? fFGausFit->GetChisquare() : 0.);
|
---|
750 | }
|
---|
751 |
|
---|
752 |
|
---|
753 | const Double_t MHGausEvents::GetExpChiSquare() const
|
---|
754 | {
|
---|
755 | return ( fFExpFit ? fFExpFit->GetChisquare() : 0.);
|
---|
756 | }
|
---|
757 |
|
---|
758 |
|
---|
759 | const Int_t MHGausEvents::GetExpNdf() const
|
---|
760 | {
|
---|
761 | return ( fFExpFit ? fFExpFit->GetNDF() : 0);
|
---|
762 | }
|
---|
763 |
|
---|
764 |
|
---|
765 | const Double_t MHGausEvents::GetExpProb() const
|
---|
766 | {
|
---|
767 | return ( fFExpFit ? fFExpFit->GetProb() : 0.);
|
---|
768 | }
|
---|
769 |
|
---|
770 |
|
---|
771 | const Int_t MHGausEvents::GetNdf() const
|
---|
772 | {
|
---|
773 | return ( fFGausFit ? fFGausFit->GetNDF() : 0);
|
---|
774 | }
|
---|
775 |
|
---|
776 | const Double_t MHGausEvents::GetOffset() const
|
---|
777 | {
|
---|
778 | return ( fFExpFit ? fFExpFit->GetParameter(0) : 0.);
|
---|
779 | }
|
---|
780 |
|
---|
781 |
|
---|
782 |
|
---|
783 | // --------------------------------------------------------------------------
|
---|
784 | //
|
---|
785 | // If fFExpFit exists, returns fit parameter 1 (Slope of Exponential fit),
|
---|
786 | // otherwise 0.
|
---|
787 | //
|
---|
788 | const Double_t MHGausEvents::GetSlope() const
|
---|
789 | {
|
---|
790 | return ( fFExpFit ? fFExpFit->GetParameter(1) : 0.);
|
---|
791 | }
|
---|
792 |
|
---|
793 | // --------------------------------------------------------------------------
|
---|
794 | //
|
---|
795 | // Default InitBins, can be overloaded.
|
---|
796 | //
|
---|
797 | // Executes:
|
---|
798 | // - fHGausHist.SetBins(fNbins,fFirst,fLast)
|
---|
799 | //
|
---|
800 | void MHGausEvents::InitBins()
|
---|
801 | {
|
---|
802 | fHGausHist.SetBins(fNbins,fFirst,fLast);
|
---|
803 | }
|
---|
804 |
|
---|
805 | // --------------------------------------------------------------------------
|
---|
806 | //
|
---|
807 | // Return kFALSE if number of entries is 0
|
---|
808 | //
|
---|
809 | const Bool_t MHGausEvents::IsEmpty() const
|
---|
810 | {
|
---|
811 | return !(fHGausHist.GetEntries());
|
---|
812 | }
|
---|
813 |
|
---|
814 | // --------------------------------------------------------------------------
|
---|
815 | //
|
---|
816 | // Return kTRUE if number of entries is bin content of fNbins+1
|
---|
817 | //
|
---|
818 | const Bool_t MHGausEvents::IsOnlyOverflow() const
|
---|
819 | {
|
---|
820 | return fHGausHist.GetEntries() == fHGausHist.GetBinContent(fNbins+1);
|
---|
821 | }
|
---|
822 |
|
---|
823 | // --------------------------------------------------------------------------
|
---|
824 | //
|
---|
825 | // Return kTRUE if number of entries is bin content of 0
|
---|
826 | //
|
---|
827 | const Bool_t MHGausEvents::IsOnlyUnderflow() const
|
---|
828 | {
|
---|
829 | return fHGausHist.GetEntries() == fHGausHist.GetBinContent(0);
|
---|
830 | }
|
---|
831 |
|
---|
832 |
|
---|
833 | const Bool_t MHGausEvents::IsExcluded() const
|
---|
834 | {
|
---|
835 | return TESTBIT(fFlags,kExcluded);
|
---|
836 | }
|
---|
837 |
|
---|
838 |
|
---|
839 | const Bool_t MHGausEvents::IsExpFitOK() const
|
---|
840 | {
|
---|
841 | return TESTBIT(fFlags,kExpFitOK);
|
---|
842 | }
|
---|
843 |
|
---|
844 | const Bool_t MHGausEvents::IsFourierSpectrumOK() const
|
---|
845 | {
|
---|
846 | return TESTBIT(fFlags,kFourierSpectrumOK);
|
---|
847 | }
|
---|
848 |
|
---|
849 |
|
---|
850 | const Bool_t MHGausEvents::IsGausFitOK() const
|
---|
851 | {
|
---|
852 | return TESTBIT(fFlags,kGausFitOK);
|
---|
853 | }
|
---|
854 |
|
---|
855 |
|
---|
856 | // -----------------------------------------------------------------------------------
|
---|
857 | //
|
---|
858 | // A default print
|
---|
859 | //
|
---|
860 | void MHGausEvents::Print(const Option_t *o) const
|
---|
861 | {
|
---|
862 |
|
---|
863 | *fLog << all << endl;
|
---|
864 | *fLog << all << "Results of the Gauss Fit in: " << fName << endl;
|
---|
865 | *fLog << all << "Mean: " << GetMean() << endl;
|
---|
866 | *fLog << all << "Sigma: " << GetSigma() << endl;
|
---|
867 | *fLog << all << "Chisquare: " << GetChiSquare() << endl;
|
---|
868 | *fLog << all << "DoF: " << GetNdf() << endl;
|
---|
869 | *fLog << all << "Probability: " << GetProb() << endl;
|
---|
870 | *fLog << all << endl;
|
---|
871 |
|
---|
872 | }
|
---|
873 |
|
---|
874 |
|
---|
875 | // --------------------------------------------------------------------------
|
---|
876 | //
|
---|
877 | // Default Reset(), can be overloaded.
|
---|
878 | //
|
---|
879 | // Executes:
|
---|
880 | // - Clear()
|
---|
881 | // - fHGausHist.Reset()
|
---|
882 | // - fEvents.Set(0)
|
---|
883 | //
|
---|
884 | void MHGausEvents::Reset()
|
---|
885 | {
|
---|
886 |
|
---|
887 | Clear();
|
---|
888 | fHGausHist.Reset();
|
---|
889 | fEvents.Set(0);
|
---|
890 |
|
---|
891 | }
|
---|
892 |
|
---|
893 | // --------------------------------------------------------------------------
|
---|
894 | //
|
---|
895 | // Set Excluded bit from outside
|
---|
896 | //
|
---|
897 | void MHGausEvents::SetExcluded(const Bool_t b)
|
---|
898 | {
|
---|
899 | b ? SETBIT(fFlags,kExcluded) : CLRBIT(fFlags,kExcluded);
|
---|
900 | }
|
---|
901 |
|
---|
902 |
|
---|
903 | // -------------------------------------------------------------------
|
---|
904 | //
|
---|
905 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
---|
906 | //
|
---|
907 | void MHGausEvents::SetExpFitOK(const Bool_t b)
|
---|
908 | {
|
---|
909 |
|
---|
910 | b ? SETBIT(fFlags,kExpFitOK) : CLRBIT(fFlags,kExpFitOK);
|
---|
911 | }
|
---|
912 |
|
---|
913 | // -------------------------------------------------------------------
|
---|
914 | //
|
---|
915 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
---|
916 | //
|
---|
917 | void MHGausEvents::SetFourierSpectrumOK(const Bool_t b)
|
---|
918 | {
|
---|
919 |
|
---|
920 | b ? SETBIT(fFlags,kFourierSpectrumOK) : CLRBIT(fFlags,kFourierSpectrumOK);
|
---|
921 | }
|
---|
922 |
|
---|
923 |
|
---|
924 | // -------------------------------------------------------------------
|
---|
925 | //
|
---|
926 | // The flag setters are to be used ONLY for Monte-Carlo!!
|
---|
927 | //
|
---|
928 | void MHGausEvents::SetGausFitOK(const Bool_t b)
|
---|
929 | {
|
---|
930 | b ? SETBIT(fFlags,kGausFitOK) : CLRBIT(fFlags,kGausFitOK);
|
---|
931 |
|
---|
932 | }
|
---|
933 |
|
---|