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 | // MCalibrationChargePix
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26 | //
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27 | // Storage container of the calibrated Charge of one pixel.
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28 | //
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29 | // The following values are initialized to meaningful values:
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30 | //
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31 | // - The Electronic Rms to 1.5 per FADC slice
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32 | // - The uncertainty about the Electronic RMS to 0.3 per slice
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33 | // - The F-Factor is assumed to have been measured in Munich to 1.13 - 1.17.
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34 | // with the Munich definition of the F-Factor, thus:
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35 | // F = Sigma(Out)/Mean(Out) * Mean(In)/Sigma(In)
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36 | // Mean F-Factor (gkFFactor) = 1.15
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37 | // Error F-Factor (gkFFactorErr) = 0.02
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38 | //
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39 | // The following variables are calculated inside this class:
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40 | // - fLoGainPedRmsSquare and fLoGainPedRmsSquareVar (see CalcLoGainPedestal())
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41 | // - fRSigmaSquare and fRSigmaSquareVar (see CalcReducedSigma() )
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42 | // - fPheFFactorMethod and fPheFFactorMethodVar (see CalcFFactorMethod() )
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43 | //
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44 | // The following variables are set by MHCalibrationChargeCam:
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45 | // - fAbsTimeMean and fAbsTimeRms
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46 | // - all variables in MCalibrationPix
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47 | //
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48 | // The following variables are set by MCalibrationChargeCalc:
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49 | // - fPed, fPedVar and fPedRms
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50 | // - fMeanConvFADC2Phe
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51 | // - fConvFADC2PheVar
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52 | // - fSigmaConvFADC2Phe
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53 | // - fTotalFFactorFFactorMethod
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54 | // - fTotalFFactorFFactorMethodVar
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55 | //
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56 | // The following variables are not yet implemented:
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57 | // - fConversionHiLo and fConversionHiLoVar (now set fixed to 10. +- 2.5)
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58 | //
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59 | // Error of all variables are calculated by error-propagation. Note that internally,
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60 | // all error variables contain Variances in order to save the CPU-intensive square rooting
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61 | //
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62 | // Low-Gain variables are stored internally unconverted, i.e. directly from the summed
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63 | // FADC slices extraction results, but can be retrieved converted to High-Gain amplifications
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64 | // by calls to: GetConvertedLoGainMean() or GetConvertedLoGainSigma()
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65 | //
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66 | // See also: MCalibrationChargeCam, MCalibrationChargeCalc,
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67 | // MHCalibrationChargeCam, MHCalibrationChargePix
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68 | //
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69 | /////////////////////////////////////////////////////////////////////////////
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70 | #include "MCalibrationChargePix.h"
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71 |
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72 | #include "MLog.h"
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73 | #include "MLogManip.h"
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74 |
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75 | #include "MBadPixelsPix.h"
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76 |
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77 | ClassImp(MCalibrationChargePix);
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78 |
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79 | using namespace std;
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80 |
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81 | const Float_t MCalibrationChargePix::gkElectronicPedRms = 1.5;
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82 | const Float_t MCalibrationChargePix::gkElectronicPedRmsErr = 0.3;
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83 | const Float_t MCalibrationChargePix::gkFFactor = 1.15;
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84 | const Float_t MCalibrationChargePix::gkFFactorErr = 0.02;
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85 |
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86 | const Float_t MCalibrationChargePix::fgConversionHiLo = 10.;
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87 | const Float_t MCalibrationChargePix::fgConversionHiLoErr = 2.5;
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88 | const Float_t MCalibrationChargePix::fgPheFFactorMethodLimit = 5.;
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89 | const Float_t MCalibrationChargePix::fgConvFFactorRelErrLimit = 0.35;
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90 | // --------------------------------------------------------------------------
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91 | //
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92 | // Default Constructor:
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93 | //
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94 | // Sets:
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95 | // - fCalibFlags to 0
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96 | // - fConversionHiLo to fgConversionHiLo
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97 | // - fConversionHiLoVar to square of fgConversionHiLoErr
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98 | // - fConvFFactorRelErrLimit to fgConvFFactorRelErrLimit*fgConvFFactorRelErrLimit
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99 | // - fPheFFactorLimit to fgPheFFactorLimit
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100 | //
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101 | // Calls:
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102 | // - Clear()
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103 | //
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104 | MCalibrationChargePix::MCalibrationChargePix(const char *name, const char *title)
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105 | : fCalibFlags(0)
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106 | {
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107 |
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108 | fName = name ? name : "MCalibrationChargePix";
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109 | fTitle = title ? title : "Container of the fit results of MHCalibrationChargePixs ";
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110 |
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111 | //
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112 | // At the moment, we don't have a database, yet,
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113 | // so we get it from the configuration file
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114 | //
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115 | SetConversionHiLo();
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116 | SetConversionHiLoErr();
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117 |
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118 | SetPheFFactorMethodLimit();
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119 | SetConvFFactorRelErrLimit();
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120 |
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121 | Clear();
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122 | }
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123 |
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124 | // ------------------------------------------------------------------------
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125 | //
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126 | // Sets:
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127 | // - all flags to kFALSE
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128 | // - all variables to -1.
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129 | //
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130 | // Calls:
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131 | // - MCalibrationPix::Clear()
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132 | //
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133 | void MCalibrationChargePix::Clear(Option_t *o)
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134 | {
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135 |
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136 | SetFFactorMethodValid ( kFALSE );
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137 |
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138 | fRSigmaSquare = -1.;
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139 | fRSigmaSquareVar = -1.;
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140 |
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141 | fPed = -1.;
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142 | fPedRms = -1.;
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143 | fPedVar = -1.;
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144 |
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145 | fLoGainPedRmsSquare = -1.;
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146 | fLoGainPedRmsSquareVar = -1.;
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147 |
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148 | fAbsTimeMean = -1.;
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149 | fAbsTimeRms = -1.;
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150 |
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151 | fPheFFactorMethod = -1.;
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152 | fPheFFactorMethodVar = -1.;
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153 |
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154 | fMeanConvFADC2Phe = -1.;
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155 | fMeanConvFADC2PheVar = -1.;
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156 | fMeanFFactorFADC2Phot = -1.;
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157 | fMeanFFactorFADC2PhotVar = -1.;
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158 |
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159 | MCalibrationPix::Clear();
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160 | }
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161 |
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162 |
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163 | // --------------------------------------------------------------------------
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164 | //
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165 | // Set F-Factor Method Validity Bit from outside
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166 | //
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167 | void MCalibrationChargePix::SetFFactorMethodValid(const Bool_t b )
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168 | {
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169 | b ? SETBIT(fCalibFlags, kFFactorMethodValid) : CLRBIT(fCalibFlags, kFFactorMethodValid);
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170 | }
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171 |
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172 | // --------------------------------------------------------------------------
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173 | //
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174 | // Set pedestals from outside (done by MCalibrationChargeCalc)
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175 | //
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176 | void MCalibrationChargePix::SetPedestal(const Float_t ped, const Float_t pedrms, const Float_t pederr)
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177 | {
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178 |
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179 | fPed = ped;
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180 | fPedRms = pedrms;
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181 | fPedVar = pederr*pederr;
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182 | }
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183 |
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184 | // -------------------------------------------------------------------------------
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185 | //
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186 | // Get the conversion Error Hi-Gain to Low-Gain:
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187 | // - If fConversionHiLoVar is smaller than 0 (i.e. has not yet been set), return -1.
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188 | //
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189 | Float_t MCalibrationChargePix::GetConversionHiLoErr() const
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190 | {
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191 | if (fConversionHiLoVar < 0.)
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192 | return -1.;
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193 |
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194 | return TMath::Sqrt(fConversionHiLoVar);
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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 | // Get the relative variance of the conversion factor between higain and logain:
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200 | // - If fConversionHiLo is 0, return -1.
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201 | // - If fConversionHiLoVar is smaller than 0, return -1.
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202 | // - Else returns: fConversionHiLoVar / fConversionHiLo^2
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203 | //
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204 | const Float_t MCalibrationChargePix::GetConversionHiLoRelVar() const
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205 | {
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206 |
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207 | if (fConversionHiLoVar < 0.)
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208 | return -1.;
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209 |
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210 | if (fConversionHiLo == 0.)
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211 | return -1.;
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212 |
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213 | return fConversionHiLoVar / (fConversionHiLo * fConversionHiLo);
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214 | }
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215 |
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216 |
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217 | // --------------------------------------------------------------------------
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218 | //
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219 | // Get the relative variance of the conversion factor between higain and logain:
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220 | // - If gkFFactor is 0, return -1.
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221 | // - If gkFFactorErr is smaller than 0, return -1.
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222 | // - Else returns: gkFFactorErr^2 / gkFFactor*^2
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223 | //
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224 | const Float_t MCalibrationChargePix::GetFFactorRelVar() const
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225 | {
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226 |
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227 | if (gkFFactorErr < 0.)
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228 | return -1.;
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229 |
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230 | if (gkFFactor == 0.)
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231 | return -1.;
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232 |
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233 | return gkFFactorErr * gkFFactorErr / (gkFFactor * gkFFactor);
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234 | }
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235 |
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236 |
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237 | //
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238 | // Get the Error of the Mean pedestals:
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239 | // Returns square root of fPedVar
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240 | //
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241 | Float_t MCalibrationChargePix::GetPedErr() const
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242 | {
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243 | return TMath::Sqrt(fPedVar);
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244 | }
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245 |
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246 | // --------------------------------------------------------------------------
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247 | //
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248 | // Get the pedestals RMS:
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249 | // - Test bit kHiGainSaturation:
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250 | // If yes, return square root of fLoGainPedRmsSquare (if greater than 0, otherwise -1.),
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251 | // If no, return fPedRms
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252 | //
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253 | Float_t MCalibrationChargePix::GetPedRms() const
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254 | {
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255 |
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256 | if (IsHiGainSaturation())
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257 | if (fLoGainPedRmsSquare < 0.)
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258 | return -1.;
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259 | else
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260 | return TMath::Sqrt(fLoGainPedRmsSquare);
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261 |
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262 | return fPedRms;
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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 | // Get the Error of the pedestals RMS:
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268 | // - Test bit kHiGainSaturation:
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269 | // If yes, return square root of (0.25*fLoGainPedRmsSquareVar/ fLoGainPedRmsSquare) (if greater than 0, otherwise -1.)
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270 | // If no , return square root of (fPedVar) (if greater than 0, otherwise -1.), divided by 2.
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271 | //
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272 | Float_t MCalibrationChargePix::GetPedRmsErr() const
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273 | {
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274 | if (IsHiGainSaturation())
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275 | if (fLoGainPedRmsSquareVar < 0.)
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276 | return -1.;
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277 | else
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278 | return TMath::Sqrt(0.25*fLoGainPedRmsSquareVar/fLoGainPedRmsSquare);
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279 | else
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280 | if (fPedVar < 0.)
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281 | return -1.;
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282 | else
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283 | return TMath::Sqrt(fPedVar)/2.;
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284 | }
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285 |
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286 |
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287 | // --------------------------------------------------------------------------
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288 | //
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289 | // Get the Low Gain Mean converted to High Gain amplification:
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290 | // Returns fLoGainMean multiplied with fConversionHiLo
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291 | //
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292 | Float_t MCalibrationChargePix::GetConvertedLoGainMean() const
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293 | {
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294 | return fLoGainMean * fConversionHiLo;
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295 | }
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296 |
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297 | // --------------------------------------------------------------------------
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298 | //
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299 | // Get the Error of the converted Low Gain Mean:
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300 | //
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301 | // Returns -1 if the variable fLoGainMean or fLoGainMeanVar are smaller than 0.
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302 | //
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303 | // Returns the square root of the quadratic sum of the relative variances of
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304 | // the fLoGainMean and fConversionHiLo, mulitplied with GetConvertedLoGainMean()
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305 | //
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306 | Float_t MCalibrationChargePix::GetConvertedLoGainMeanErr() const
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307 | {
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308 |
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309 | const Float_t logainrelvar = GetLoGainMeanRelVar();
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310 |
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311 | if (logainrelvar < 0.)
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312 | return -1.;
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313 |
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314 | return TMath::Sqrt(logainrelvar + GetConversionHiLoRelVar()) * GetConvertedLoGainMean();
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315 | }
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316 |
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317 | // --------------------------------------------------------------------------
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318 | //
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319 | // Get the Low Gain Sigma converted to High Gain amplification:
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320 | // Returns fLoGainSigma multiplied with fConversionHiLo
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321 | //
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322 | Float_t MCalibrationChargePix::GetConvertedLoGainSigma() const
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323 | {
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324 | return fLoGainSigma * fConversionHiLo;
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325 | }
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326 |
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327 | // --------------------------------------------------------------------------
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328 | //
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329 | // Get the Error of the converted Low Gain Sigma:
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330 | //
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331 | // Returns -1 if the variable fLoGainSigma or fLoGainSigmaVar are smaller than 0.
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332 | //
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333 | // Returns the square root of the quadratic sum of the relative variances of
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334 | // the fLoGainSigma and fConversionHiLo, mulitplied with GetConvertedLoGainSigma()
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335 | //
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336 | Float_t MCalibrationChargePix::GetConvertedLoGainSigmaErr() const
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337 | {
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338 |
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339 | if (fLoGainSigmaVar < 0.)
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340 | return -1.;
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341 |
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342 | if (fLoGainSigma < 0.)
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343 | return -1.;
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344 |
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345 | const Float_t sigmaRelVar = fLoGainSigmaVar
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346 | /( fLoGainSigma * fLoGainSigma );
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347 |
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348 | return TMath::Sqrt(sigmaRelVar+GetConversionHiLoRelVar()) * GetConvertedLoGainSigma();
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349 | }
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350 |
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351 |
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352 |
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353 | // --------------------------------------------------------------------------
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354 | //
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355 | // Get the reduced Sigma:
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356 | // - If fRSigmaSquare is smaller than 0 (i.e. has not yet been set), return -1.
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357 | // - Test bit kHiGainSaturation:
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358 | // If yes, return square root of fRSigmaSquare, multiplied with fConversionHiLo,
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359 | // If no , return square root of fRSigmaSquare
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360 | //
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361 | Float_t MCalibrationChargePix::GetRSigma() const
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362 | {
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363 | if (fRSigmaSquare < 0)
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364 | return -1;
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365 |
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366 | const Float_t rsigma = TMath::Sqrt(fRSigmaSquare);
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367 |
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368 | return IsHiGainSaturation() ? rsigma*fConversionHiLo : rsigma ;
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369 | }
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370 |
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371 | // --------------------------------------------------------------------------
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372 | //
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373 | // Get the error of the reduced Sigma:
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374 | // - If fRSigmaSquareVar is smaller than 0 (i.e. has not yet been set), return -1.
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375 | // - Calculate the absolute variance of the reduced sigma with the formula:
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376 | // reduced sigma variance = 0.25 * fRSigmaSquareVar / fRSigmaSquare
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377 | // - Test bit kHiGainSaturation:
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378 | // If yes, returns the square root of the quadratic sum of the relative variances of the
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379 | // reduced sigma and fConversionHiLo, mulitplied with GetRSigma()
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380 | // Else returns the square root of rel. (0.25*fRSigmaSquareVar / fRSigmaSquare)
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381 | //
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382 | Float_t MCalibrationChargePix::GetRSigmaErr() const
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383 | {
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384 |
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385 | if (fRSigmaSquareVar < 0)
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386 | return -1;
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387 |
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388 | //
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389 | // SigmaSquareVar = 4. * Sigma * Sigma * Var(sigma)
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390 | // ==> Var(sigma) = 0.25 * SigmaSquareVar / (Sigma * Sigma)
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391 | //
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392 | const Float_t rsigmaVar = 0.25 * fRSigmaSquareVar / fRSigmaSquare;
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393 |
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394 | if (IsHiGainSaturation())
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395 | return TMath::Sqrt(rsigmaVar/fRSigmaSquare + GetConversionHiLoRelVar()) * GetRSigma();
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396 | else
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397 | return TMath::Sqrt(rsigmaVar);
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398 |
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399 | }
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400 |
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401 | // --------------------------------------------------------------------------
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402 | //
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403 | // Get the reduced Sigma per Charge:
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404 | // - If GetRSigma() is smaller or equal 0. (i.e. has not yet been set), return -1.
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405 | // - If GetMean() is 0. or -1. (i.e. has not yet been set), return -1.
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406 | // - Return GetRSigma() / GetMean()
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407 | //
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408 | Float_t MCalibrationChargePix::GetRSigmaPerCharge() const
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409 | {
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410 |
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411 | const Float_t rsigma = GetRSigma();
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412 |
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413 | if (rsigma <= 0)
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414 | return -1.;
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415 |
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416 |
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417 | const Float_t mean = GetMean();
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418 |
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419 | if (mean == 0. || mean == -1.)
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420 | return -1.;
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421 |
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422 | return rsigma / mean;
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423 | }
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424 |
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425 |
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426 | // --------------------------------------------------------------------------
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427 | //
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428 | // Get the error of the reduced Sigma per Charge:
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429 | // - If GetRSigmaRelVar() is smaller or equal 0. (i.e. has not yet been set), return -1.
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430 | // - If GetMeanRelVar() is smaller or equal 0. (i.e. has not yet been set), return -1.
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431 | // - Return the propagated error of GetRSigmaPerCharge()
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432 | //
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433 | Float_t MCalibrationChargePix::GetRSigmaPerChargeErr() const
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434 | {
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435 |
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436 | const Float_t rsigmarelvar = GetRSigmaRelVar();
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437 |
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438 | if (rsigmarelvar <= 0)
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439 | return -1.;
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440 |
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441 |
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442 | const Float_t meanrelvar = GetMeanRelVar();
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443 |
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444 | if (meanrelvar <= 0.)
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445 | return -1.;
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446 |
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447 | return TMath::Sqrt(rsigmarelvar + meanrelvar) * GetRSigmaPerCharge();
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448 | }
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449 |
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450 | // --------------------------------------------------------------------------
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451 | //
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452 | // Get the reduced Sigma Square:
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453 | // - If fRSigmaSquare is smaller than 0 (i.e. has not yet been set), return -1.
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454 | // - Test bit kHiGainSaturation:
|
---|
455 | // If yes, return fRSigmaSquare, multiplied with fConversionHiLo^2,
|
---|
456 | // If no , return fRSigmaSquare
|
---|
457 | //
|
---|
458 | Float_t MCalibrationChargePix::GetRSigmaSquare() const
|
---|
459 | {
|
---|
460 | if (fRSigmaSquare < 0)
|
---|
461 | return -1;
|
---|
462 |
|
---|
463 | return IsHiGainSaturation() ? fRSigmaSquare*fConversionHiLo*fConversionHiLo : fRSigmaSquare ;
|
---|
464 | }
|
---|
465 |
|
---|
466 | // --------------------------------------------------------------------------
|
---|
467 | //
|
---|
468 | // Get the relative variance of the reduced Sigma:
|
---|
469 | // - If fRSigmaSquareVar is smaller than 0 (i.e. has not yet been set), return -1.
|
---|
470 | // - Calculate the relative variance of the reduced sigma squares with the formula:
|
---|
471 | // reduced sigma rel. variance = 0.25 * fRSigmaSquareVar / fRSigmaSquare / fRSigmaSquare
|
---|
472 | // - Test bit kHiGainSaturation:
|
---|
473 | // If yes, returns the sum of the relative variances of the reduced sigma and fConversionHiLo
|
---|
474 | // Else returns the relative variance of the reduced sigma
|
---|
475 | //
|
---|
476 | Float_t MCalibrationChargePix::GetRSigmaRelVar() const
|
---|
477 | {
|
---|
478 |
|
---|
479 | if (fRSigmaSquareVar < 0)
|
---|
480 | return -1;
|
---|
481 |
|
---|
482 | //
|
---|
483 | // SigmaSquareVar = 4. * Sigma * Sigma * Var(sigma)
|
---|
484 | // ==> Var(sigma) = 0.25 * SigmaSquareVar / (Sigma * Sigma)
|
---|
485 | //
|
---|
486 | const Float_t rsigmaRelVar = 0.25 * fRSigmaSquareVar / ( fRSigmaSquare * fRSigmaSquare );
|
---|
487 |
|
---|
488 | if (IsHiGainSaturation())
|
---|
489 | return rsigmaRelVar + GetConversionHiLoRelVar();
|
---|
490 | else
|
---|
491 | return rsigmaRelVar;
|
---|
492 | }
|
---|
493 |
|
---|
494 | // --------------------------------------------------------------------------
|
---|
495 | //
|
---|
496 | // Get the error on the number of photo-electrons (F-Factor Method):
|
---|
497 | // - If fPheFFactorMethodVar is smaller than 0 (i.e. has not yet been set), return -1.
|
---|
498 | // - Else returns the square root of fPheFFactorMethodVar
|
---|
499 | //
|
---|
500 | Float_t MCalibrationChargePix::GetPheFFactorMethodErr() const
|
---|
501 | {
|
---|
502 | if (fPheFFactorMethodVar < 0.)
|
---|
503 | return -1.;
|
---|
504 | return TMath::Sqrt(fPheFFactorMethodVar);
|
---|
505 | }
|
---|
506 |
|
---|
507 | // --------------------------------------------------------------------------
|
---|
508 | //
|
---|
509 | // Get the error on the mean total F-Factor of the signal readout (F-Factor Method):
|
---|
510 | // - If fMeanFFactorFADC2PhotVar is smaller than 0 (i.e. has not yet been set), return -1.
|
---|
511 | // - Else returns the square root of fMeanFFactorFADC2PhotVar
|
---|
512 | //
|
---|
513 | Float_t MCalibrationChargePix::GetMeanFFactorFADC2PhotErr() const
|
---|
514 | {
|
---|
515 | if (fMeanFFactorFADC2PhotVar < 0.)
|
---|
516 | return -1.;
|
---|
517 | return TMath::Sqrt(fMeanFFactorFADC2PhotVar);
|
---|
518 | }
|
---|
519 |
|
---|
520 | // --------------------------------------------------------------------------
|
---|
521 | //
|
---|
522 | // Get the relative variance on the number of photo-electrons (F-Factor Method):
|
---|
523 | // - If fPheFFactorMethodVar is smaller than 0 (i.e. has not yet been set), return -1.
|
---|
524 | // - If fPheFFactorMethod is 0, return -1.
|
---|
525 | // - Else returns fPheFFactorMethodVar / fPheFFactorMethod^2
|
---|
526 | //
|
---|
527 | Float_t MCalibrationChargePix::GetPheFFactorMethodRelVar() const
|
---|
528 | {
|
---|
529 | if (fPheFFactorMethodVar < 0.)
|
---|
530 | return -1.;
|
---|
531 | if (fPheFFactorMethod == 0.)
|
---|
532 | return -1.;
|
---|
533 |
|
---|
534 | return fPheFFactorMethodVar / (fPheFFactorMethod * fPheFFactorMethod);
|
---|
535 | }
|
---|
536 |
|
---|
537 |
|
---|
538 | // --------------------------------------------------------------------------
|
---|
539 | //
|
---|
540 | // Get the error on the mean conversion factor (FFactor Method):
|
---|
541 | // - If fMeanConvFADC2PheVar is smaller than 0 (i.e. has not yet been set), return -1.
|
---|
542 | // - Else returns the square root of fMeanConvFADC2PheVar
|
---|
543 | //
|
---|
544 | Float_t MCalibrationChargePix::GetMeanConvFADC2PheErr() const
|
---|
545 | {
|
---|
546 | if (fMeanConvFADC2PheVar < 0.)
|
---|
547 | return -1.;
|
---|
548 | return TMath::Sqrt(fMeanConvFADC2PheVar);
|
---|
549 | }
|
---|
550 |
|
---|
551 | // --------------------------------------------------------------------------
|
---|
552 | //
|
---|
553 | // Test bit kFFactorMethodValid
|
---|
554 | //
|
---|
555 | Bool_t MCalibrationChargePix::IsFFactorMethodValid() const
|
---|
556 | {
|
---|
557 | return TESTBIT(fCalibFlags, kFFactorMethodValid);
|
---|
558 | }
|
---|
559 |
|
---|
560 |
|
---|
561 | // ----------------------------------------------------------------------------
|
---|
562 | //
|
---|
563 | // - If fSigma is smaller than 0 (i.e. has not yet been set), return kFALSE
|
---|
564 | // - If fPedRms is smaller than 0 (i.e. has not yet been set), return kFALSE
|
---|
565 | //
|
---|
566 | // Calculate the reduced sigma of the low-Gain FADC slices:
|
---|
567 | // - Test bit IsHiGainSaturation() for the Sigma:
|
---|
568 | // If yes, take fLoGainSigma and fLoGainSigmaVar
|
---|
569 | // If no , take fHiGainSigma and fHiGainSigmaVar
|
---|
570 | //
|
---|
571 | // - Test bit IsHiGainSaturation() for the pedRMS:
|
---|
572 | // If yes, take fLoGainPedRmsSquare and fLoGainPedRmsSquareVar
|
---|
573 | // If no , take fPedRms and fPedVar
|
---|
574 | //
|
---|
575 | // - Calculate the reduced sigma with the formula:
|
---|
576 | // fRSigmaSquare = Sigma*Sigma - pedRMS*pedRMS
|
---|
577 | //
|
---|
578 | // - If fRSigmaSquare is smaller than 0, give a warning and return kFALSE
|
---|
579 | //
|
---|
580 | // - Calculate the variance of the reduced sigma with the formula:
|
---|
581 | // fRSigmaSquareVar = 4.* (sigmaVar*Sigma*Sigma + pedRmsVar*pedRMS*pedRMS)
|
---|
582 | //
|
---|
583 | // A back-transformation to the corr. amplification factor of the High-Gain is done
|
---|
584 | // in GetRSigma() and GetRSigmaErr()
|
---|
585 | //
|
---|
586 | Bool_t MCalibrationChargePix::CalcReducedSigma()
|
---|
587 | {
|
---|
588 |
|
---|
589 | if (GetSigma() < 0.)
|
---|
590 | return kFALSE;
|
---|
591 |
|
---|
592 | if (GetPedRms() < 0.)
|
---|
593 | return kFALSE;
|
---|
594 |
|
---|
595 | const Float_t sigma = IsHiGainSaturation() ? fLoGainSigma : fHiGainSigma ;
|
---|
596 | const Float_t sigmavar = IsHiGainSaturation() ? fLoGainSigmaVar : fHiGainSigmaVar;
|
---|
597 | const Float_t pedRmsSquare = IsHiGainSaturation() ? fLoGainPedRmsSquare : fPedRms*fPedRms;
|
---|
598 | const Float_t pedRmsSquareVar = IsHiGainSaturation() ? fLoGainPedRmsSquareVar : 0.25*fPedVar*pedRmsSquare;
|
---|
599 |
|
---|
600 | const Float_t sigmaSquare = sigma * sigma;
|
---|
601 | const Float_t sigmaSquareVar = 4. * sigmavar * sigmaSquare;
|
---|
602 |
|
---|
603 | //
|
---|
604 | // Calculate the reduced sigmas
|
---|
605 | //
|
---|
606 | fRSigmaSquare = sigmaSquare - pedRmsSquare;
|
---|
607 | if (fRSigmaSquare <= 0.)
|
---|
608 | {
|
---|
609 | *fLog << warn
|
---|
610 | << "WARNING: Cannot calculate the reduced sigma: smaller than 0 in pixel "
|
---|
611 | << fPixId << endl;
|
---|
612 | return kFALSE;
|
---|
613 | }
|
---|
614 |
|
---|
615 | fRSigmaSquareVar = 4. * (sigmaSquareVar + pedRmsSquareVar);
|
---|
616 |
|
---|
617 | return kTRUE;
|
---|
618 | }
|
---|
619 |
|
---|
620 | // ------------------------------------------------------------------
|
---|
621 | //
|
---|
622 | // If fRSigmaSquare is smaller than 0 (i.e. has not yet been set),
|
---|
623 | // set kFFactorMethodValid to kFALSE and return kFALSE
|
---|
624 | //
|
---|
625 | // Calculate the number of photo-electrons with the F-Factor method:
|
---|
626 | // - Test bit IsHiGainSaturation() for the Mean Sum of FADC slices:
|
---|
627 | // If yes, take fLoGainMean and fLoGainMeanVar
|
---|
628 | // If no , take fHiGainMean and fHiGainMeanVar
|
---|
629 | //
|
---|
630 | // - Test bit IsHiGainSaturation() for the pedRMS:
|
---|
631 | // If yes, take fLoGainPedRmsSquare and fLoGainPedRmsSquareVar
|
---|
632 | // If no , take fPedRms and fPedVar
|
---|
633 | //
|
---|
634 | // - Calculate the number of photo-electrons with the formula:
|
---|
635 | // fPheFFactorMethod = gkFFactor*gkFFactor * Mean * Mean / fRSigmaSquare
|
---|
636 | //
|
---|
637 | // - Calculate the Variance on the photo-electrons with the formula:
|
---|
638 | // fPheFFactorMethodVar = ( 4. * gkFFactorErr * gkFFactorErr / ( gkFFactor * gkFFactor )
|
---|
639 | // + 4. * Mean Var. / ( Mean * Mean )
|
---|
640 | // + fRSigmaSquareVar / fRSigmaSquare
|
---|
641 | // ) * fPheFFactorMethod * fPheFFactorMethod
|
---|
642 | //
|
---|
643 | // - If fPheFFactorMethod is less than fPheFFactorMethodLimit,
|
---|
644 | // set kFFactorMethodValid to kFALSE and return kFALSE
|
---|
645 | // else: Set kFFactorMethodValid to kTRUE and return kTRUE
|
---|
646 | //
|
---|
647 | Bool_t MCalibrationChargePix::CalcFFactorMethod()
|
---|
648 | {
|
---|
649 |
|
---|
650 | if (fRSigmaSquare < 0.)
|
---|
651 | return kFALSE;
|
---|
652 |
|
---|
653 | //
|
---|
654 | // Square all variables in order to avoid applications of square root
|
---|
655 | //
|
---|
656 | const Float_t meanSquare = GetMean() * GetMean();
|
---|
657 | const Float_t meanSquareRelVar = 4.* GetMeanRelVar();
|
---|
658 |
|
---|
659 | const Float_t ffactorsquare = gkFFactor * gkFFactor;
|
---|
660 | const Float_t ffactorsquareRelVar = 4.* GetFFactorRelVar();
|
---|
661 |
|
---|
662 | const Float_t rsigmaSquareRelVar = fRSigmaSquareVar / fRSigmaSquare / fRSigmaSquare;
|
---|
663 | //
|
---|
664 | // Calculate the number of phe's from the F-Factor method
|
---|
665 | // (independent on Hi Gain or Lo Gain)
|
---|
666 | //
|
---|
667 | fPheFFactorMethod = ffactorsquare * meanSquare / fRSigmaSquare;
|
---|
668 |
|
---|
669 | if (fPheFFactorMethod < fPheFFactorMethodLimit)
|
---|
670 | return kFALSE;
|
---|
671 |
|
---|
672 | //
|
---|
673 | // Calculate the Error of Nphe
|
---|
674 | //
|
---|
675 | const Float_t pheRelVar = ffactorsquareRelVar + meanSquareRelVar + rsigmaSquareRelVar;
|
---|
676 | fPheFFactorMethodVar = pheRelVar * fPheFFactorMethod * fPheFFactorMethod;
|
---|
677 |
|
---|
678 | if (fPheFFactorMethodVar < 0. )
|
---|
679 | return kFALSE;
|
---|
680 |
|
---|
681 | fMeanConvFADC2Phe = fPheFFactorMethod / GetMean();
|
---|
682 |
|
---|
683 | if (fMeanConvFADC2Phe < 0. )
|
---|
684 | return kFALSE;
|
---|
685 |
|
---|
686 | //
|
---|
687 | // In the calculation of the number of phe's one mean square has already been used.
|
---|
688 | // Now, we divide by another mean, so one mean calcels out, we cannot directly propagate
|
---|
689 | // the errors, but have to take account of this cancellation:
|
---|
690 | //
|
---|
691 | const Float_t convrelvar = ffactorsquareRelVar + GetMeanRelVar() + rsigmaSquareRelVar;
|
---|
692 |
|
---|
693 | if (convrelvar > fConvFFactorRelVarLimit || convrelvar < 0.)
|
---|
694 | {
|
---|
695 | *fLog << warn << GetDescriptor() << ": Conversion F-Factor Method Rel. Variance: "
|
---|
696 | << convrelvar << " above limits of: [0," << Form("%3.2f",fConvFFactorRelVarLimit)
|
---|
697 | << "] in pixel: " << fPixId << endl;
|
---|
698 | return kFALSE;
|
---|
699 | }
|
---|
700 |
|
---|
701 | fMeanConvFADC2PheVar = convrelvar * fMeanConvFADC2Phe * fMeanConvFADC2Phe;
|
---|
702 |
|
---|
703 | SetFFactorMethodValid(kTRUE);
|
---|
704 | return kTRUE;
|
---|
705 | }
|
---|
706 |
|
---|
707 | // ----------------------------------------------------------------------------------
|
---|
708 | //
|
---|
709 | // If photflux is smaller or equal 0, return kFALSE
|
---|
710 | //
|
---|
711 | // Calculate the total F-Factor with the formula:
|
---|
712 | // fMeanFFactorFADC2Phot = Sqrt ( fRSigmaSquare ) / GetMean() * sqrt(nphotons)
|
---|
713 | //
|
---|
714 | // Calculate the error of the total F-Factor
|
---|
715 | //
|
---|
716 | Bool_t MCalibrationChargePix::CalcMeanFFactor( const Float_t nphotons, const Float_t nphotonsrelvar )
|
---|
717 | {
|
---|
718 |
|
---|
719 | if (nphotons <= 0.)
|
---|
720 | {
|
---|
721 | *fLog << warn << GetDescriptor() << ": Assumed photon flux is smaller or equal 0." << endl;
|
---|
722 | return kFALSE;
|
---|
723 | }
|
---|
724 |
|
---|
725 | if (nphotonsrelvar < 0.)
|
---|
726 | {
|
---|
727 | *fLog << warn << GetDescriptor() << ": Assumed photon flux variance is smaller than 0." << endl;
|
---|
728 | return kFALSE;
|
---|
729 | }
|
---|
730 |
|
---|
731 | fMeanFFactorFADC2Phot = TMath::Sqrt(fRSigmaSquare * nphotons) / GetMean() ;
|
---|
732 |
|
---|
733 | if (fMeanFFactorFADC2Phot < 0.)
|
---|
734 | {
|
---|
735 | *fLog << warn << GetDescriptor() << ": F-Factor photons to FADC counts smaller than 0." << endl;
|
---|
736 | return kFALSE;
|
---|
737 | }
|
---|
738 |
|
---|
739 | const Float_t ffactorrelvar = 0.25 * fRSigmaSquareVar / ( fRSigmaSquare * fRSigmaSquare)
|
---|
740 | + GetMeanRelVar()
|
---|
741 | + 0.25 * nphotonsrelvar;
|
---|
742 |
|
---|
743 | fMeanFFactorFADC2PhotVar = ffactorrelvar * fMeanFFactorFADC2Phot * fMeanFFactorFADC2Phot;
|
---|
744 |
|
---|
745 | return kTRUE;
|
---|
746 | }
|
---|
747 |
|
---|
748 |
|
---|
749 | // ----------------------------------------------------------------------------
|
---|
750 | //
|
---|
751 | // - If fPed is smaller than 0 (i.e. has not yet been set), return.
|
---|
752 | // - If fPedVar is smaller than 0 (i.e. has not yet been set), return.
|
---|
753 | //
|
---|
754 | // Calculate the electronic pedestal RMS with the formula:
|
---|
755 | // - elec. pedestal = gkElectronicPedRms * sqrt(logainsamples)
|
---|
756 | //
|
---|
757 | // Calculate the night sky background ped. RMS contribution ("NSB") in the high-gain
|
---|
758 | // from the high gain Pedestal RMS with the formula:
|
---|
759 | // - HiGain NSB square = fPedRms * fPedRms - elec.ped.* elec.ped.
|
---|
760 | // - Var(HiGain NSB square) = fPedVar * fPedRms * fPedRms + 4.*elecPedRmsVar * elec.ped.* elec.ped.
|
---|
761 | //
|
---|
762 | // If HiGain NSB square is smaller than 0., set it to zero. (but not the error!)
|
---|
763 | //
|
---|
764 | // Convert the NSB ped. RMS contribution to the low-gain with the formula:
|
---|
765 | // - LoGain NSB square = - HiGain NSB square / (fConversionHiLo*fConversionHiLo)
|
---|
766 | // - Var(LoGain NSB square) = ( Var(HiGain NSB square) / (HiGain NSB square * HiGain NSB square)
|
---|
767 | // + GetConversionHiLoRelVar()
|
---|
768 | // ) * LoGain NSB square * LoGain NSB square
|
---|
769 | //
|
---|
770 | // - Low Gain Ped RMS Square = LoGain NSB square + elec.ped. square
|
---|
771 | // Var (Low Gain Ped RMS Square) = Var(LoGain NSB square) + Var(elec.ped. square)
|
---|
772 | //
|
---|
773 | void MCalibrationChargePix::CalcLoGainPedestal(Float_t logainsamples)
|
---|
774 | {
|
---|
775 |
|
---|
776 | if (fPedRms < 0.)
|
---|
777 | return;
|
---|
778 |
|
---|
779 | if (fPedVar < 0.)
|
---|
780 | return;
|
---|
781 |
|
---|
782 | const Float_t elecPedRms = gkElectronicPedRms * TMath::Sqrt(logainsamples);
|
---|
783 | const Float_t elecPedRmsVar = gkElectronicPedRmsErr * gkElectronicPedRmsErr * logainsamples;
|
---|
784 |
|
---|
785 | Float_t pedRmsSquare = fPedRms * fPedRms;
|
---|
786 | Float_t pedRmsSquareVar = fPedVar * pedRmsSquare; // fPedRmsErr = fPedErr/2.
|
---|
787 |
|
---|
788 | //
|
---|
789 | // We do not know the Lo Gain Pedestal RMS, so we have to retrieve it
|
---|
790 | // from the HI GAIN (all calculation per slice up to now):
|
---|
791 | //
|
---|
792 | // We extract the pure NSB contribution:
|
---|
793 | //
|
---|
794 | const Float_t elecRmsSquare = elecPedRms * elecPedRms;
|
---|
795 | const Float_t elecRmsSquareVar = 4.*elecPedRmsVar * elecRmsSquare;
|
---|
796 |
|
---|
797 | Float_t higainNsbSquare = pedRmsSquare - elecRmsSquare;
|
---|
798 | Float_t higainNsbSquareRelVar = (pedRmsSquareVar + elecRmsSquareVar)
|
---|
799 | / (higainNsbSquare * higainNsbSquare) ;
|
---|
800 |
|
---|
801 | if (higainNsbSquare < 0.)
|
---|
802 | higainNsbSquare = 0.;
|
---|
803 |
|
---|
804 | //
|
---|
805 | // Now, we divide the NSB by the conversion factor and
|
---|
806 | // add it quadratically to the electronic noise
|
---|
807 | //
|
---|
808 | const Float_t conversionSquare = fConversionHiLo * fConversionHiLo;
|
---|
809 | const Float_t conversionSquareRelVar = 4.* GetConversionHiLoRelVar();
|
---|
810 |
|
---|
811 | const Float_t logainNsbSquare = higainNsbSquare / conversionSquare;
|
---|
812 | const Float_t logainNsbSquareVar = ( higainNsbSquareRelVar + conversionSquareRelVar )
|
---|
813 | * logainNsbSquare * logainNsbSquare;
|
---|
814 |
|
---|
815 | fLoGainPedRmsSquare = logainNsbSquare + elecRmsSquare;
|
---|
816 | fLoGainPedRmsSquareVar = logainNsbSquareVar + elecRmsSquareVar;
|
---|
817 | }
|
---|
818 |
|
---|