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 11/2003 <mailto:markus@ifae.es>
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19 | !
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20 | ! Copyright: MAGIC Software Development, 2000-2002
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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 | // MHCalibrationBlindPixel //
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28 | // //
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29 | // Performs all the Single Photo-Electron Fit to extract //
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30 | // the mean number of photons and to derive the light flux //
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31 | // //
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32 | // The fit result is accepted under condition that: //
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33 | // 1) the Probability is greater than gkProbLimit (default 0.001 == 99.7%) //
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34 | // 2) at least 100 events are in the single Photo-electron peak //
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35 | // //
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36 | //////////////////////////////////////////////////////////////////////////////
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37 | #include "MHCalibrationBlindPixel.h"
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38 | #include "MHCalibrationConfig.h"
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39 |
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40 | #include <TStyle.h>
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41 | #include <TMath.h>
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42 | #include <TPad.h>
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43 |
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44 | #include <TMinuit.h>
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45 | #include <TFitter.h>
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46 |
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47 | #include <TF1.h>
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48 | #include <TH2.h>
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49 | #include <TCanvas.h>
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50 | #include <TPaveText.h>
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51 | #include <TRandom.h>
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52 |
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53 | #include <TText.h>
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54 |
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55 | #include "MBinning.h"
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56 | #include "MParList.h"
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57 |
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58 | #include "MLog.h"
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59 | #include "MLogManip.h"
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60 |
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61 | ClassImp(MHCalibrationBlindPixel);
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62 |
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63 | using namespace std;
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64 | // --------------------------------------------------------------------------
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65 | //
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66 | // Default Constructor.
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67 | //
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68 | MHCalibrationBlindPixel::MHCalibrationBlindPixel(const char *name, const char *title)
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69 | : fFitLegend(NULL), fFitOK(kFALSE),
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70 | fLambda(0.), fMu0(0.), fMu1(0.), fSigma0(0.), fSigma1(0.),
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71 | fLambdaErr(0.), fMu0Err(0.), fMu1Err(0.), fSigma0Err(0.), fSigma1Err(0.),
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72 | fChisquare(0.), fProb(0.), fNdf(0),
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73 | fMeanTime(0.), fMeanTimeErr(0.), fSigmaTime(0.), fSigmaTimeErr(0.),
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74 | fLambdaCheck(0.), fLambdaCheckErr(0.),
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75 | fFitFunc(kEPoisson4)
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76 | {
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77 |
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78 | fName = name ? name : "MHCalibrationBlindPixel";
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79 | fTitle = title ? title : "Fill the accumulated charges and times all Blind Pixel events and perform fits";
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80 |
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81 | // Create a large number of bins, later we will rebin
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82 | fBlindPixelChargefirst = -1000.;
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83 | fBlindPixelChargelast = gkStartBlindPixelBinNr;
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84 | fBlindPixelChargenbins = gkStartBlindPixelBinNr+(int)fBlindPixelChargefirst;
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85 |
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86 | fHBlindPixelCharge = new TH1F("HBlindPixelCharge","Distribution of Summed FADC Slices",
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87 | fBlindPixelChargenbins,fBlindPixelChargefirst,fBlindPixelChargelast);
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88 | fHBlindPixelCharge->SetXTitle("Sum FADC Slices");
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89 | fHBlindPixelCharge->SetYTitle("Nr. of events");
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90 | fHBlindPixelCharge->Sumw2();
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91 | fHBlindPixelCharge->SetDirectory(NULL);
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92 |
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93 | Axis_t tfirst = -0.5;
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94 | Axis_t tlast = 15.5;
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95 | Int_t nbins = 16;
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96 |
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97 | fHBlindPixelTime = new TH1I("HBlindPixelTime","Distribution of Mean Arrival Times",nbins,tfirst,tlast);
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98 | fHBlindPixelTime->SetXTitle("Mean Arrival Times [FADC slice nr]");
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99 | fHBlindPixelTime->SetYTitle("Nr. of events");
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100 | fHBlindPixelTime->Sumw2();
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101 | fHBlindPixelTime->SetDirectory(NULL);
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102 |
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103 | // We define a reasonable number and later enlarge it if necessary
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104 | nbins = 20000;
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105 | Axis_t nfirst = -0.5;
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106 | Axis_t nlast = (Axis_t)nbins - 0.5;
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107 |
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108 | fHBlindPixelChargevsN = new TH1I("HBlindPixelChargevsN","Sum of Charges vs. Event Number",nbins,nfirst,nlast);
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109 | fHBlindPixelChargevsN->SetXTitle("Event Nr.");
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110 | fHBlindPixelChargevsN->SetYTitle("Sum of FADC slices");
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111 | fHBlindPixelChargevsN->SetDirectory(NULL);
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112 |
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113 | }
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114 |
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115 | MHCalibrationBlindPixel::~MHCalibrationBlindPixel()
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116 | {
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117 |
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118 | if (fFitLegend)
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119 | delete fFitLegend;
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120 |
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121 | delete fHBlindPixelCharge;
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122 | delete fHBlindPixelTime;
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123 | delete fHBlindPixelChargevsN;
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124 |
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125 | }
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126 |
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127 |
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128 |
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129 | void MHCalibrationBlindPixel::ResetBin(Int_t i)
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130 | {
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131 | fHBlindPixelCharge->SetBinContent (i, 1.e-20);
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132 | fHBlindPixelTime->SetBinContent(i, 1.e-20);
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133 | }
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134 |
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135 |
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136 | // -------------------------------------------------------------------------
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137 | //
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138 | // Draw a legend with the fit results
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139 | //
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140 | void MHCalibrationBlindPixel::DrawLegend()
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141 | {
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142 |
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143 | fFitLegend = new TPaveText(0.05,0.05,0.95,0.95);
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144 |
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145 | if (fFitOK)
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146 | fFitLegend->SetFillColor(80);
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147 | else
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148 | fFitLegend->SetFillColor(2);
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149 |
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150 | fFitLegend->SetLabel("Results of the single PhE Fit (to k=6):");
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151 | fFitLegend->SetTextSize(0.05);
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152 |
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153 | const TString line1 =
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154 | Form("Mean: #lambda = %2.2f #pm %2.2f",GetLambda(),GetLambdaErr());
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155 | TText *t1 = fFitLegend->AddText(line1.Data());
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156 | t1->SetBit(kCanDelete);
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157 |
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158 | const TString line6 =
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159 | Form("Mean #lambda (check) = %2.2f #pm %2.2f",GetLambdaCheck(),GetLambdaCheckErr());
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160 | TText *t2 = fFitLegend->AddText(line6.Data());
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161 | t2->SetBit(kCanDelete);
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162 |
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163 | const TString line2 =
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164 | Form("Pedestal: #mu_{0} = %2.2f #pm %2.2f",GetMu0(),GetMu0Err());
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165 | TText *t3 = fFitLegend->AddText(line2.Data());
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166 | t3->SetBit(kCanDelete);
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167 |
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168 | const TString line3 =
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169 | Form("Width Pedestal: #sigma_{0} = %2.2f #pm %2.2f",GetSigma0(),GetSigma0Err());
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170 | TText *t4 = fFitLegend->AddText(line3.Data());
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171 | t4->SetBit(kCanDelete);
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172 |
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173 | const TString line4 =
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174 | Form("1^{st} Phe-peak: #mu_{1} = %2.2f #pm %2.2f",GetMu1(),GetMu1Err());
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175 | TText *t5 = fFitLegend->AddText(line4.Data());
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176 | t5->SetBit(kCanDelete);
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177 |
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178 | const TString line5 =
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179 | Form("Width 1^{st} Phe-peak: #sigma_{1} = %2.2f #pm %2.2f",GetSigma1(),GetSigma1Err());
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180 | TText *t6 = fFitLegend->AddText(line5.Data());
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181 | t6->SetBit(kCanDelete);
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182 |
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183 | const TString line7 =
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184 | Form("#chi^{2} / N_{dof}: %4.2f / %3i",GetChiSquare(),GetNdf());
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185 | TText *t7 = fFitLegend->AddText(line7.Data());
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186 | t7->SetBit(kCanDelete);
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187 |
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188 | const TString line8 =
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189 | Form("Probability: %4.2f ",GetProb());
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190 | TText *t8 = fFitLegend->AddText(line8.Data());
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191 | t8->SetBit(kCanDelete);
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192 |
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193 | if (fFitOK)
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194 | {
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195 | TText *t = fFitLegend->AddText(0.,0.,"Result of the Fit: OK");
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196 | t->SetBit(kCanDelete);
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197 | }
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198 | else
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199 | {
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200 | TText *t = fFitLegend->AddText("Result of the Fit: NOT OK");
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201 | t->SetBit(kCanDelete);
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202 | }
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203 |
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204 | fFitLegend->SetBit(kCanDelete);
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205 | fFitLegend->Draw();
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206 |
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207 | return;
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208 | }
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209 |
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210 |
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211 | TObject *MHCalibrationBlindPixel::DrawClone(Option_t *opt) const
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212 | {
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213 |
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214 | gROOT->SetSelectedPad(NULL);
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215 |
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216 | TObject *newobj = Clone();
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217 |
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218 | newobj->SetBit(kCanDelete);
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219 | if (!newobj)
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220 | return 0;
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221 |
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222 | // ((MHCalibrationBlindPixel*)newobj)->Draw(opt);
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223 | newobj->Draw(opt);
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224 | return newobj;
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225 | }
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226 |
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227 |
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228 |
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229 | // -------------------------------------------------------------------------
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230 | //
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231 | // Draw the histogram
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232 | //
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233 | void MHCalibrationBlindPixel::Draw(Option_t *opt)
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234 | {
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235 |
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236 | gStyle->SetOptFit(0);
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237 | gStyle->SetOptStat(111111);
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238 |
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239 | TCanvas *c = MakeDefCanvas(this,550,700);
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240 |
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241 | c->Divide(2,2);
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242 |
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243 | gROOT->SetSelectedPad(NULL);
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244 |
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245 | c->cd(1);
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246 | gPad->SetLogy(1);
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247 | gPad->SetTicks();
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248 |
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249 | fHBlindPixelCharge->DrawCopy(opt);
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250 |
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251 | if (fFitOK)
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252 | fSinglePheFit.SetLineColor(kGreen);
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253 | else
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254 | fSinglePheFit.SetLineColor(kRed);
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255 |
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256 | fSinglePheFit.DrawCopy("same");
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257 | c->Modified();
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258 | c->Update();
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259 |
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260 | fSinglePhePedFit.SetLineColor(kBlue);
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261 | fSinglePhePedFit.DrawCopy("same");
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262 |
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263 | c->cd(2);
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264 | DrawLegend();
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265 | c->Modified();
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266 | c->Update();
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267 |
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268 | c->cd(3);
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269 | gPad->SetLogy(1);
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270 | gPad->SetBorderMode(0);
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271 | fHBlindPixelTime->DrawCopy(opt);
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272 |
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273 | if (fHBlindPixelTime->GetFunction("GausTime"))
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274 | {
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275 | TF1 *tfit = fHBlindPixelTime->GetFunction("GausTime");
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276 | if (tfit->GetProb() < 0.01)
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277 | tfit->SetLineColor(kRed);
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278 | else
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279 | tfit->SetLineColor(kGreen);
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280 |
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281 | tfit->DrawCopy("same");
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282 | c->Modified();
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283 | c->Update();
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284 | }
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285 |
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286 | c->cd(4);
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287 |
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288 | fHBlindPixelChargevsN->DrawCopy(opt);
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289 |
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290 | c->Modified();
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291 | c->Update();
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292 | }
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293 |
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294 |
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295 |
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296 | Bool_t MHCalibrationBlindPixel::SimulateSinglePhe(Double_t lambda, Double_t mu0, Double_t mu1, Double_t sigma0, Double_t sigma1)
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297 | {
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298 | gRandom->SetSeed();
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299 |
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300 | if (fHBlindPixelCharge->GetIntegral() != 0)
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301 | {
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302 | *fLog << err << "Histogram " << fHBlindPixelCharge->GetTitle() << " is already filled. " << endl;
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303 | *fLog << err << "Create new class MHCalibrationBlindPixel for simulation! " << endl;
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304 | return kFALSE;
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305 | }
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306 |
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307 | TF1 simulateSinglePhe;
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308 |
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309 | InitFit(simulateSinglePhe,fBlindPixelChargefirst,fBlindPixelChargelast);
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310 |
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311 | for (Int_t i=0;i<10000; i++)
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312 | fHBlindPixelCharge->Fill(simulateSinglePhe.GetRandom());
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313 |
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314 | return kTRUE;
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315 | }
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316 |
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317 | void MHCalibrationBlindPixel::InitFit(TF1& f, Axis_t min, Axis_t max)
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318 | {
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319 |
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320 | //
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321 | // First guesses for the fit (should be as close to reality as possible,
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322 | // otherwise the fit goes gaga because of high number of dimensions ...
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323 | //
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324 | const Stat_t entries = fHBlindPixelCharge->Integral("width");
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325 | const Double_t lambda_guess = 0.5;
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326 | const Double_t mu_0_guess = fHBlindPixelCharge->GetBinCenter(fHBlindPixelCharge->GetMaximumBin());
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327 | const Double_t si_0_guess = 20.;
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328 | const Double_t mu_1_guess = mu_0_guess + 50.;
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329 | const Double_t si_1_guess = si_0_guess + si_0_guess;
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330 | const Double_t norm = entries/gkSq2Pi;
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331 |
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332 | //
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333 | // Initialize
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334 | //
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335 | switch (fFitFunc)
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336 | {
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337 |
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338 | case kEPoisson4:
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339 | f = TF1("SinglePheFit",&fPoissonKto4,min,max,6);
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340 | f.SetParameters(lambda_guess,mu_0_guess,mu_1_guess,si_0_guess,si_1_guess,norm);
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341 | f.SetParNames("#lambda","#mu_0","#mu_1","#sigma_0","#sigma_1","Area");
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342 | f.SetParLimits(0,0.,1.);
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343 | f.SetParLimits(1,min,(max-min)/1.5);
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344 | f.SetParLimits(2,(max-min)/2.,(max-0.05*(max-min)));
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345 | f.SetParLimits(3,1.0,(max-min)/2.0);
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346 | f.SetParLimits(4,1.0,(max-min)/2.5);
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347 | f.SetParLimits(5,norm-0.1,norm+0.1);
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348 | break;
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349 |
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350 | case kEPoisson5:
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351 | f = TF1("SinglePheFit",&fPoissonKto5,min,max,6);
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352 | f.SetParameters(lambda_guess,mu_0_guess,mu_1_guess,si_0_guess,si_1_guess,norm);
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353 | f.SetParNames("#lambda","#mu_0","#mu_1","#sigma_0","#sigma_1","Area");
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354 | f.SetParLimits(0,0.,1.);
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355 | f.SetParLimits(1,min,(max-min)/1.5);
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356 | f.SetParLimits(2,(max-min)/2.,(max-0.05*(max-min)));
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357 | f.SetParLimits(3,1.0,(max-min)/2.0);
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358 | f.SetParLimits(4,1.0,(max-min)/2.5);
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359 | f.SetParLimits(5,norm-0.1,norm+0.1);
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360 | break;
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361 |
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362 | case kEPoisson6:
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363 | f = TF1("SinglePheFit",&fPoissonKto6,min,max,6);
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364 | f.SetParameters(lambda_guess,mu_0_guess,mu_1_guess,si_0_guess,si_1_guess,norm);
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365 | f.SetParNames("#lambda","#mu_0","#mu_1","#sigma_0","#sigma_1","Area");
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366 | f.SetParLimits(0,0.,1.);
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367 | f.SetParLimits(1,min,(max-min)/1.5);
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368 | f.SetParLimits(2,(max-min)/2.,(max-0.05*(max-min)));
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369 | f.SetParLimits(3,1.0,(max-min)/2.0);
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370 | f.SetParLimits(4,1.0,(max-min)/2.5);
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371 | f.SetParLimits(5,norm-0.1,norm+0.1);
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372 | break;
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373 |
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374 | case kEPoisson7:
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375 | break;
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376 |
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377 | case kEPolya:
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378 | break;
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379 |
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380 | case kEMichele:
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381 | break;
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382 |
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383 | }
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384 | }
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385 |
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386 | void MHCalibrationBlindPixel::ExitFit(TF1 &f)
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387 | {
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388 |
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389 |
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390 | //
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391 | // Finalize
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392 | //
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393 | switch (fFitFunc)
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394 | {
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395 |
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396 | case kEPoisson4:
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397 | case kEPoisson5:
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398 | case kEPoisson6:
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399 | case kEPoisson7:
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400 | fLambda = fSinglePheFit.GetParameter(0);
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401 | fMu0 = fSinglePheFit.GetParameter(1);
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402 | fMu1 = fSinglePheFit.GetParameter(2);
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403 | fSigma0 = fSinglePheFit.GetParameter(3);
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404 | fSigma1 = fSinglePheFit.GetParameter(4);
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405 |
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406 | fLambdaErr = fSinglePheFit.GetParError(0);
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407 | fMu0Err = fSinglePheFit.GetParError(1);
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408 | fMu1Err = fSinglePheFit.GetParError(2);
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409 | fSigma0Err = fSinglePheFit.GetParError(3);
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410 | fSigma1Err = fSinglePheFit.GetParError(4);
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411 | break;
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412 | default:
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413 | break;
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414 | }
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415 |
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416 | }
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417 |
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418 |
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419 | Bool_t MHCalibrationBlindPixel::FitSinglePhe(Axis_t rmin, Axis_t rmax, Option_t *opt)
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420 | {
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421 |
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422 | //
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423 | // Get the fitting ranges
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424 | //
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425 | rmin = (rmin != 0.) ? rmin : fBlindPixelChargefirst;
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426 | rmax = (rmax != 0.) ? rmax : fBlindPixelChargelast;
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427 |
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428 | InitFit(fSinglePheFit,rmin,rmax);
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429 |
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430 | fHBlindPixelCharge->Fit(&fSinglePheFit,opt);
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431 |
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432 | ExitFit(fSinglePheFit);
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433 |
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434 | fProb = fSinglePheFit.GetProb();
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435 | fChisquare = fSinglePheFit.GetChisquare();
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436 | fNdf = fSinglePheFit.GetNDF();
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437 |
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438 | // Perform the cross-check fitting only the pedestal:
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439 | fSinglePhePedFit = TF1("GausPed","gaus",rmin,fMu0);
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440 | fHBlindPixelCharge->Fit(&fSinglePhePedFit,opt);
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441 |
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442 | const Stat_t entries = fHBlindPixelCharge->Integral("width");
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443 |
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444 | Double_t pedarea = fSinglePhePedFit.GetParameter(0)*gkSq2Pi*fSinglePhePedFit.GetParameter(2);
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445 | fLambdaCheck = TMath::Log(entries/pedarea);
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446 | fLambdaCheckErr = fSinglePhePedFit.GetParError(0)/fSinglePhePedFit.GetParameter(0)
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447 | + fSinglePhePedFit.GetParError(2)/fSinglePhePedFit.GetParameter(2);
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448 |
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449 | *fLog << inf << "Results of the Blind Pixel Fit: " << endl;
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450 | *fLog << inf << "Chisquare: " << fChisquare << endl;
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451 | *fLog << inf << "DoF: " << fNdf << endl;
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452 | *fLog << inf << "Probability: " << fProb << endl;
|
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453 |
|
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454 | //
|
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455 | // The fit result is accepted under condition that:
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456 | // 1) the Probability is greater than gkProbLimit (default 0.001 == 99.7%)
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457 | // 2) at least 100 events are in the single Photo-electron peak
|
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458 | //
|
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459 | if (fProb < gkProbLimit)
|
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460 | {
|
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461 | *fLog << err << "ERROR: Fit Probability " << fProb
|
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462 | << " is smaller than the allowed value: " << gkProbLimit << endl;
|
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463 | fFitOK = kFALSE;
|
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464 | return kFALSE;
|
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465 | }
|
---|
466 |
|
---|
467 | if (fProb < 0.01)
|
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468 | *fLog << warn << "WARNING: Fit Probability " << fProb << " is smaller than 1% " << endl;
|
---|
469 |
|
---|
470 | Float_t contSinglePhe = TMath::Exp(-1.0*fLambda)*fLambda*entries;
|
---|
471 |
|
---|
472 | if (contSinglePhe < 100.)
|
---|
473 | {
|
---|
474 | *fLog << err << "ERROR: Statistics is too low: Only " << contSinglePhe
|
---|
475 | << " in the Single Photo-Electron peak " << endl;
|
---|
476 | fFitOK = kFALSE;
|
---|
477 | return kFALSE;
|
---|
478 | }
|
---|
479 | else
|
---|
480 | *fLog << inf << contSinglePhe << " in Single Photo-Electron peak " << endl;
|
---|
481 |
|
---|
482 | fFitOK = kTRUE;
|
---|
483 |
|
---|
484 | return kTRUE;
|
---|
485 | }
|
---|
486 |
|
---|
487 |
|
---|
488 | void MHCalibrationBlindPixel::CutAllEdges()
|
---|
489 | {
|
---|
490 |
|
---|
491 | Int_t nbins = 30;
|
---|
492 |
|
---|
493 | CutEdges(fHBlindPixelCharge,nbins);
|
---|
494 |
|
---|
495 | fBlindPixelChargefirst = fHBlindPixelCharge->GetBinLowEdge(fHBlindPixelCharge->GetXaxis()->GetFirst());
|
---|
496 | fBlindPixelChargelast = fHBlindPixelCharge->GetBinLowEdge(fHBlindPixelCharge->GetXaxis()->GetLast())+fHBlindPixelCharge->GetBinWidth(0);
|
---|
497 | fBlindPixelChargenbins = nbins;
|
---|
498 |
|
---|
499 | CutEdges(fHBlindPixelChargevsN,0);
|
---|
500 |
|
---|
501 | }
|
---|
502 |
|
---|
503 | Bool_t MHCalibrationBlindPixel::FitTime(Axis_t rmin, Axis_t rmax, Option_t *opt)
|
---|
504 | {
|
---|
505 |
|
---|
506 | rmin = (rmin != 0.) ? rmin : 4.;
|
---|
507 | rmax = (rmax != 0.) ? rmax : 9.;
|
---|
508 |
|
---|
509 | const Stat_t entries = fHBlindPixelTime->Integral();
|
---|
510 | const Double_t mu_guess = fHBlindPixelTime->GetBinCenter(fHBlindPixelTime->GetMaximumBin());
|
---|
511 | const Double_t sigma_guess = (rmax - rmin)/2.;
|
---|
512 | const Double_t area_guess = entries/gkSq2Pi;
|
---|
513 |
|
---|
514 | fTimeGausFit = TF1("GausTime","gaus",rmin,rmax);
|
---|
515 | fTimeGausFit.SetParameters(area_guess,mu_guess,sigma_guess);
|
---|
516 | fTimeGausFit.SetParNames("Area","#mu","#sigma");
|
---|
517 | fTimeGausFit.SetParLimits(0,0.,entries);
|
---|
518 | fTimeGausFit.SetParLimits(1,rmin,rmax);
|
---|
519 | fTimeGausFit.SetParLimits(2,0.,rmax-rmin);
|
---|
520 |
|
---|
521 | fHBlindPixelTime->Fit(&fTimeGausFit,opt);
|
---|
522 | rmin = fTimeGausFit.GetParameter(1) - 2.*fTimeGausFit.GetParameter(2);
|
---|
523 | rmax = fTimeGausFit.GetParameter(1) + 2.*fTimeGausFit.GetParameter(2);
|
---|
524 | fTimeGausFit.SetRange(rmin,rmax);
|
---|
525 |
|
---|
526 | fHBlindPixelTime->Fit(&fTimeGausFit,opt);
|
---|
527 |
|
---|
528 | fMeanTime = fTimeGausFit.GetParameter(2);
|
---|
529 | fSigmaTime = fTimeGausFit.GetParameter(3);
|
---|
530 | fMeanTimeErr = fTimeGausFit.GetParError(2);
|
---|
531 | fSigmaTimeErr = fTimeGausFit.GetParError(3);
|
---|
532 |
|
---|
533 | *fLog << inf << "Results of the Times Fit: " << endl;
|
---|
534 | *fLog << inf << "Chisquare: " << fTimeGausFit.GetChisquare() << endl;
|
---|
535 | *fLog << inf << "Ndf: " << fTimeGausFit.GetNDF() << endl;
|
---|
536 |
|
---|
537 | return kTRUE;
|
---|
538 |
|
---|
539 | }
|
---|