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 necessary fits to extract the mean number of photons //
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30 | // out of the derived light flux //
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31 | // //
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32 | //////////////////////////////////////////////////////////////////////////////
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33 | #include "MHCalibrationBlindPixel.h"
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34 | #include "MHCalibrationConfig.h"
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35 | #include "MCalibrationFits.h"
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36 |
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37 | #include <TStyle.h>
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38 | #include <TMath.h>
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39 | #include <TPad.h>
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40 |
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41 | #include <TMinuit.h>
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42 | #include <TFitter.h>
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43 |
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44 | #include <TF1.h>
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45 | #include <TH2.h>
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46 | #include <TCanvas.h>
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47 | #include <TPaveText.h>
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48 | #include <TRandom.h>
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49 |
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50 | #include "MBinning.h"
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51 | #include "MParList.h"
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52 |
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53 | #include "MLog.h"
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54 | #include "MLogManip.h"
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55 |
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56 | ClassImp(MHCalibrationBlindPixel);
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57 |
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58 | using namespace std;
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59 | // --------------------------------------------------------------------------
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60 | //
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61 | // Default Constructor.
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62 | //
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63 | MHCalibrationBlindPixel::MHCalibrationBlindPixel(const char *name, const char *title)
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64 | : fSinglePheFit(NULL), fTimeGausFit(NULL)
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65 | {
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66 |
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67 | fName = name ? name : "MHCalibrationBlindPixel";
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68 | fTitle = title ? title : "Fill the accumulated charges and times all Blind Pixel events and perform fits";
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69 |
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70 | // Create a large number of bins, later we will rebin
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71 | fBlindPixelChargefirst = -1000.;
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72 | fBlindPixelChargelast = gkStartBlindPixelBinNr;
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73 | fBlindPixelChargenbins = gkStartBlindPixelBinNr+(int)fBlindPixelChargefirst;
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74 |
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75 | fHBlindPixelCharge = new TH1F("HBlindPixelCharge","Distribution of Summed FADC Slices",
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76 | fBlindPixelChargenbins,fBlindPixelChargefirst,fBlindPixelChargelast);
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77 | fHBlindPixelCharge->SetXTitle("Sum FADC Slices");
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78 | fHBlindPixelCharge->SetYTitle("Nr. of events");
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79 | fHBlindPixelCharge->Sumw2();
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80 |
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81 | fErrBlindPixelChargefirst = 0.;
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82 | fErrBlindPixelChargelast = gkStartBlindPixelBinNr;
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83 | fErrBlindPixelChargenbins = gkStartBlindPixelBinNr;
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84 |
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85 | fHBlindPixelErrCharge = new TH1F("HBlindPixelErrCharge","Distribution of Variances of Summed FADC Slices",
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86 | fErrBlindPixelChargenbins,fErrBlindPixelChargefirst,fErrBlindPixelChargelast);
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87 | fHBlindPixelErrCharge->SetXTitle("Variance Summed FADC Slices");
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88 | fHBlindPixelErrCharge->SetYTitle("Nr. of events");
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89 | fHBlindPixelErrCharge->Sumw2();
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90 |
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91 | Axis_t tfirst = -0.5;
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92 | Axis_t tlast = 15.5;
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93 | Int_t nbins = 16;
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94 |
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95 | fHBlindPixelTime = new TH1I("HBlindPixelTime","Distribution of Mean Arrival Times",nbins,tfirst,tlast);
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96 | fHBlindPixelTime->SetXTitle("Mean Arrival Times [FADC slice nr]");
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97 | fHBlindPixelTime->SetYTitle("Nr. of events");
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98 | fHBlindPixelTime->Sumw2();
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99 |
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100 | // We define a reasonable number and later enlarge it if necessary
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101 | nbins = 20000;
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102 | Axis_t nfirst = -0.5;
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103 | Axis_t nlast = (Axis_t)nbins - 0.5;
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104 |
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105 | fHBlindPixelChargevsN = new TH1I("HBlindPixelChargevsN","Sum of Charges vs. Event Number",nbins,nfirst,nlast);
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106 | fHBlindPixelChargevsN->SetXTitle("Event Nr.");
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107 | fHBlindPixelChargevsN->SetYTitle("Sum of FADC slices");
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108 |
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109 | fgSinglePheFitFunc = &gfKto8;
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110 | fgSinglePheFitNPar = 5;
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111 | }
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112 |
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113 | MHCalibrationBlindPixel::~MHCalibrationBlindPixel()
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114 | {
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115 |
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116 | delete fHBlindPixelCharge;
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117 | delete fHBlindPixelTime;
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118 | delete fHBlindPixelErrCharge;
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119 |
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120 | if (fSinglePheFit)
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121 | delete fSinglePheFit;
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122 | if (fTimeGausFit)
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123 | delete fTimeGausFit;
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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 | void MHCalibrationBlindPixel::ResetBin(Int_t i)
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129 | {
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130 | fHBlindPixelCharge->SetBinContent (i, 1.e-20);
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131 | fHBlindPixelErrCharge->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 | fFitLegend->AddText(line1);
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156 |
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157 | const TString line2 =
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158 | Form("Pedestal: #mu_{0} = %2.2f #pm %2.2f",GetMu0(),GetMu0Err());
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159 | fFitLegend->AddText(line2);
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160 |
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161 | const TString line3 =
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162 | Form("Width Pedestal: #sigma_{0} = %2.2f #pm %2.2f",GetSigma0(),GetSigma0Err());
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163 | fFitLegend->AddText(line3);
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164 |
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165 | const TString line4 =
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166 | Form("1^{st} Phe-peak: #mu_{1} = %2.2f #pm %2.2f",GetMu1(),GetMu1Err());
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167 | fFitLegend->AddText(line4);
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168 |
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169 | const TString line5 =
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170 | Form("Width 1^{st} Phe-peak: #sigma_{1} = %2.2f #pm %2.2f",GetSigma1(),GetSigma1Err());
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171 | fFitLegend->AddText(line5);
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172 |
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173 | const TString line7 =
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174 | Form("#chi^{2} / N_{dof}: %4.2f / %3i",GetChiSquare(),GetNdf());
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175 | fFitLegend->AddText(line7);
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176 |
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177 | const TString line8 =
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178 | Form("Probability: %4.2f ",GetProb());
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179 | fFitLegend->AddText(line8);
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180 |
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181 | if (fFitOK)
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182 | fFitLegend->AddText("Result of the Fit: OK");
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183 | else
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184 | fFitLegend->AddText("Result of the Fit: NOT OK");
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185 |
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186 | fFitLegend->SetBit(kCanDelete);
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187 | fFitLegend->Draw();
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188 |
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189 | }
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190 |
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191 |
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192 | // -------------------------------------------------------------------------
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193 | //
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194 | // Draw the histogram
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195 | //
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196 | void MHCalibrationBlindPixel::Draw(Option_t *opt)
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197 | {
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198 |
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199 | gStyle->SetOptFit(0);
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200 | gStyle->SetOptStat(1111111);
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201 |
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202 | TCanvas *c = MakeDefCanvas(this,550,700);
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203 |
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204 | c->Divide(2,2);
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205 |
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206 | gROOT->SetSelectedPad(NULL);
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207 |
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208 | c->cd(1);
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209 | gPad->SetLogy(1);
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210 | gPad->SetTicks();
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211 |
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212 | fHBlindPixelCharge->DrawCopy(opt);
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213 |
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214 | if (fSinglePheFit)
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215 | {
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216 | if (fFitOK)
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217 | fSinglePheFit->SetLineColor(kGreen);
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218 | else
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219 | fSinglePheFit->SetLineColor(kRed);
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220 |
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221 | fSinglePheFit->DrawCopy("same");
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222 | c->Modified();
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223 | c->Update();
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224 | }
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225 |
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226 | c->cd(2);
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227 | DrawLegend();
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228 | c->Modified();
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229 | c->Update();
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230 |
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231 | c->cd(3);
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232 | gPad->SetLogy(1);
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233 | gPad->SetBorderMode(0);
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234 | fHBlindPixelTime->DrawCopy(opt);
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235 |
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236 | if (fHBlindPixelTime->GetFunction("GausTime"))
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237 | {
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238 | TF1 *tfit = fHBlindPixelTime->GetFunction("GausTime");
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239 | if (tfit->GetProb() < 0.01)
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240 | tfit->SetLineColor(kRed);
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241 | else
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242 | tfit->SetLineColor(kGreen);
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243 |
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244 | tfit->DrawCopy("same");
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245 | c->Modified();
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246 | c->Update();
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247 | }
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248 |
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249 | c->cd(4);
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250 |
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251 | fHBlindPixelChargevsN->DrawCopy(opt);
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252 |
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253 | c->Modified();
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254 | c->Update();
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255 | }
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256 |
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257 |
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258 |
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259 | Bool_t MHCalibrationBlindPixel::SimulateSinglePhe(Double_t lambda, Double_t mu0, Double_t mu1, Double_t sigma0, Double_t sigma1)
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260 | {
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261 | gRandom->SetSeed();
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262 |
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263 | if (fHBlindPixelCharge->GetEntries() != 0)
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264 | {
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265 | *fLog << err << "Histogram " << fHBlindPixelCharge->GetTitle() << " is already filled. " << endl;
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266 | *fLog << err << "Create new class MHCalibrationBlindPixel for simulation! " << endl;
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267 | return kFALSE;
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268 | }
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269 |
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270 | TF1 *simulateSinglePhe = new TF1("simulateSinglePhe",fgSinglePheFitFunc,
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271 | fBlindPixelChargefirst,fBlindPixelChargelast,fgSinglePheFitNPar);
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272 |
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273 | simulateSinglePhe->SetParameters(lambda,mu0,mu1,sigma0,sigma1);
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274 | simulateSinglePhe->SetParNames("#lambda","#mu_0","#mu_1","#sigma_0","#sigma_1");
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275 | simulateSinglePhe->SetNpx(fBlindPixelChargenbins);
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276 |
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277 | for (Int_t i=0;i<10000; i++)
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278 | {
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279 | fHBlindPixelCharge->Fill(simulateSinglePhe->GetRandom());
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280 | }
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281 |
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282 | return kTRUE;
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283 | }
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284 |
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285 |
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286 | void MHCalibrationBlindPixel::ChangeFitFunc(BlindPixelFitFunc fitfunc, Int_t par)
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287 | {
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288 |
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289 | fgSinglePheFitFunc = fitfunc;
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290 | fgSinglePheFitNPar = par;
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291 |
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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::FitSinglePhe(Axis_t rmin, Axis_t rmax, Option_t *opt)
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297 | {
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298 |
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299 | if (fSinglePheFit)
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300 | return kFALSE;
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301 |
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302 |
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303 | //
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304 | // Get the fitting ranges
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305 | //
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306 | rmin = (rmin != 0.) ? rmin : fBlindPixelChargefirst;
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307 | rmax = (rmax != 0.) ? rmax : fBlindPixelChargelast;
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308 |
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309 | //
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310 | // First guesses for the fit (should be as close to reality as possible,
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311 | // otherwise the fit goes gaga because of high number of dimensions ...
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312 | //
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313 | const Stat_t entries = fHBlindPixelCharge->GetSumOfWeights();
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314 | const Double_t lambda_guess = 0.2;
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315 | const Double_t mu_0_guess = fHBlindPixelCharge->GetBinCenter(fHBlindPixelCharge->GetMaximumBin());
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316 | const Double_t si_0_guess = mu_0_guess/5.;
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317 | const Double_t mu_1_guess = mu_0_guess + 50.;
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318 | const Double_t si_1_guess = si_0_guess + si_0_guess;
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319 |
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320 | fSinglePheFit = new TF1("SinglePheFit",fgSinglePheFitFunc,rmin,rmax,fgSinglePheFitNPar+1);
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321 | fSinglePheFit->SetParameters(lambda_guess,mu_0_guess,mu_1_guess,si_0_guess,si_1_guess,entries);
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322 | fSinglePheFit->SetParNames("#lambda","#mu_0","#mu_1","#sigma_0","#sigma_1","area");
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323 | fSinglePheFit->SetParLimits(0,0.,5.);
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324 | fSinglePheFit->SetParLimits(1,rmin,rmax);
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325 | fSinglePheFit->SetParLimits(2,rmin,rmax);
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326 | fSinglePheFit->SetParLimits(3,1.0,rmax-rmin);
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327 | fSinglePheFit->SetParLimits(4,1.7,rmax-rmin);
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328 | fSinglePheFit->SetParLimits(5,0.,2.5*entries);
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329 | //
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330 | // Normalize the histogram to facilitate faster fitting of the area
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331 | // For speed reasons, FKto8 is normalized to Sqrt(2 pi).
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332 | // Therefore also normalize the histogram to that value
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333 | //
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334 | // ROOT gives us another nice example of user-unfriendly behavior:
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335 | // Although the normalization of the function fSinglePhe and the
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336 | // Histogram fHBlindPixelCharge agree (!!), the fit does not normalize correctly INTERNALLY
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337 | // in the fitting procedure !!!
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338 | //
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339 | // This has to do with the fact that the internal function histogramming
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340 | // uses 100 bins and does not adapt to the binning of the fitted histogram, unlike PAW does
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341 | // (very important if you use Sumw2, see e.g. ROOTTALK: Mon May 26 1997 - 09:56:03 MEST)
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342 | //
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343 | // So, WE have to adapt to that internal flaw of ROOT:
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344 | //
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345 | // const Int_t npx = fSinglePheFit->GetNpx();
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346 | // const Int_t bins = fHBlindPixelCharge->GetXaxis()->GetLast()-fHBlindPixelCharge->GetXaxis()->GetFirst();
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347 | // fHBlindPixelCharge->Scale(gkSq2Pi*(float)bins/npx/entries);
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348 |
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349 | //
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350 | // we need this, otherwise, ROOT does not calculate the area correctly
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351 | // don't ask me why it does not behave correctly, it's one of the nasty
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352 | // mysteries of ROOT which takes you a whole day to find out :-)
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353 | //
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354 | // fSinglePheFit->SetNpx(fChargenbins);
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355 |
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356 | fHBlindPixelCharge->Fit(fSinglePheFit,opt);
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357 |
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358 | fLambda = fSinglePheFit->GetParameter(0);
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359 | fMu0 = fSinglePheFit->GetParameter(1);
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360 | fMu1 = fSinglePheFit->GetParameter(2);
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361 | fSigma0 = fSinglePheFit->GetParameter(3);
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362 | fSigma1 = fSinglePheFit->GetParameter(4);
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363 |
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364 | fLambdaErr = fSinglePheFit->GetParError(0);
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365 | fMu0Err = fSinglePheFit->GetParError(1);
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366 | fMu1Err = fSinglePheFit->GetParError(2);
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367 | fSigma0Err = fSinglePheFit->GetParError(3);
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368 | fSigma1Err = fSinglePheFit->GetParError(4);
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369 |
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370 | fProb = fSinglePheFit->GetProb();
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371 | fChisquare = fSinglePheFit->GetChisquare();
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372 | fNdf = fSinglePheFit->GetNDF();
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373 |
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374 | *fLog << "Results of the Blind Pixel Fit: " << endl;
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375 | *fLog << "Chisquare: " << fChisquare << endl;
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376 | *fLog << "DoF: " << fNdf << endl;
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377 | *fLog << "Probability: " << fProb << endl;
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378 | *fLog << "Integral: " << fSinglePheFit->Integral(rmin,rmax);
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379 |
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380 | //
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381 | // The fit result is accepted under condition
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382 | // The Probability is greater than gkProbLimit (default 0.01 == 99%)
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383 | //
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384 | if (fProb < gkProbLimit)
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385 | {
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386 | *fLog << warn << "Prob: " << fProb << " is smaller than the allowed value: " << gkProbLimit << endl;
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387 | fFitOK = kFALSE;
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388 | return kFALSE;
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389 | }
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390 |
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391 |
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392 | fFitOK = kTRUE;
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393 |
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394 | return kTRUE;
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395 | }
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396 |
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397 |
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398 | void MHCalibrationBlindPixel::CutAllEdges()
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399 | {
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400 |
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401 | //
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402 | // The number 100 is necessary because it is the internal binning
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403 | // of ROOT functions. A call to SetNpx() does NOT help
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404 | // If you find another solution which WORKS!!, please tell me!!
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405 | //
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406 | Int_t nbins = 50;
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407 |
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408 | *fLog << "New number of bins in HSinCharge: " << CutEdges(fHBlindPixelCharge,nbins) << endl;
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409 |
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410 | fBlindPixelChargefirst = fHBlindPixelCharge->GetBinLowEdge(fHBlindPixelCharge->GetXaxis()->GetFirst());
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411 | fBlindPixelChargelast = fHBlindPixelCharge->GetBinLowEdge(fHBlindPixelCharge->GetXaxis()->GetLast())+fHBlindPixelCharge->GetBinWidth(0);
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412 | fBlindPixelChargenbins = nbins;
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413 |
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414 | *fLog << "New number of bins in HErrCharge: " << CutEdges(fHBlindPixelErrCharge,30) << endl;
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415 | fErrBlindPixelChargefirst = fHBlindPixelErrCharge->GetBinLowEdge(fHBlindPixelErrCharge->GetXaxis()->GetFirst());
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416 | fErrBlindPixelChargelast = fHBlindPixelErrCharge->GetBinLowEdge(fHBlindPixelErrCharge->GetXaxis()->GetLast())+fHBlindPixelErrCharge->GetBinWidth(0);
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417 | fErrBlindPixelChargenbins = nbins;
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418 |
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419 | CutEdges(fHBlindPixelChargevsN,0);
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420 |
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421 | }
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422 |
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423 | Bool_t MHCalibrationBlindPixel::FitTime(Axis_t rmin, Axis_t rmax, Option_t *opt)
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424 | {
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425 |
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426 | if (fTimeGausFit)
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427 | return kFALSE;
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428 |
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429 | rmin = (rmin != 0.) ? rmin : 4.;
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430 | rmax = (rmax != 0.) ? rmax : 9.;
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431 |
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432 | const Stat_t entries = fHBlindPixelTime->GetEntries();
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433 | const Double_t mu_guess = fHBlindPixelTime->GetBinCenter(fHBlindPixelTime->GetMaximumBin());
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434 | const Double_t sigma_guess = (rmax - rmin)/2.;
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435 | const Double_t area_guess = entries/gkSq2Pi;
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436 |
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437 | fTimeGausFit = new TF1("GausTime","gaus",rmin,rmax);
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438 | fTimeGausFit->SetParameters(area_guess,mu_guess,sigma_guess);
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439 | fTimeGausFit->SetParNames("Area","#mu","#sigma");
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440 | fTimeGausFit->SetParLimits(0,0.,entries);
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441 | fTimeGausFit->SetParLimits(1,rmin,rmax);
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442 | fTimeGausFit->SetParLimits(2,0.,rmax-rmin);
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443 |
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444 | fHBlindPixelTime->Fit(fTimeGausFit,opt);
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445 |
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446 | rmin = fTimeGausFit->GetParameter(1) - 2.*fTimeGausFit->GetParameter(2);
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447 | rmax = fTimeGausFit->GetParameter(1) + 2.*fTimeGausFit->GetParameter(2);
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448 | fTimeGausFit->SetRange(rmin,rmax);
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449 |
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450 | fHBlindPixelTime->Fit(fTimeGausFit,opt);
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451 |
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452 |
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453 | fMeanTime = fTimeGausFit->GetParameter(2);
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454 | fSigmaTime = fTimeGausFit->GetParameter(3);
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455 | fMeanTimeErr = fTimeGausFit->GetParError(2);
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456 | fSigmaTimeErr = fTimeGausFit->GetParError(3);
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457 |
|
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458 | Float_t prob = fTimeGausFit->GetProb();
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459 |
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460 | *fLog << "Results of the Times Fit: " << endl;
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461 | *fLog << "Chisquare: " << fTimeGausFit->GetChisquare() << endl;
|
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462 | *fLog << "Ndf: " << fTimeGausFit->GetNDF() << endl;
|
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463 | *fLog << "Probability: " << prob << endl;
|
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464 |
|
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465 | if (prob < gkProbLimit)
|
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466 | {
|
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467 | *fLog << warn << "Fit of the Arrival times failed ! " << endl;
|
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468 | return kFALSE;
|
---|
469 | }
|
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470 |
|
---|
471 | return kTRUE;
|
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472 |
|
---|
473 | }
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