| 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.
|
|---|
| 406 | // - Return GetRSigma() / GetMean()
|
|---|
| 407 | //
|
|---|
| 408 | Float_t MCalibrationChargePix::GetRSigmaPerCharge() const
|
|---|
| 409 | {
|
|---|
| 410 |
|
|---|
| 411 | const Float_t rsigma = GetRSigma();
|
|---|
| 412 |
|
|---|
| 413 | if (rsigma <= 0)
|
|---|
| 414 | return -1.;
|
|---|
| 415 |
|
|---|
| 416 |
|
|---|
| 417 | const Float_t mean = GetMean();
|
|---|
| 418 |
|
|---|
| 419 | if (mean == 0. || mean == -1.)
|
|---|
| 420 | return -1.;
|
|---|
| 421 |
|
|---|
| 422 | return rsigma / mean;
|
|---|
| 423 | }
|
|---|
| 424 |
|
|---|
| 425 |
|
|---|
| 426 | // --------------------------------------------------------------------------
|
|---|
| 427 | //
|
|---|
| 428 | // Get the error of the reduced Sigma per Charge:
|
|---|
| 429 | // - If GetRSigmaRelVar() is smaller or equal 0. (i.e. has not yet been set), return -1.
|
|---|
| 430 | // - If GetMeanRelVar() is smaller or equal 0. (i.e. has not yet been set), return -1.
|
|---|
| 431 | // - Return the propagated error of GetRSigmaPerCharge()
|
|---|
| 432 | //
|
|---|
| 433 | Float_t MCalibrationChargePix::GetRSigmaPerChargeErr() const
|
|---|
| 434 | {
|
|---|
| 435 |
|
|---|
| 436 | const Float_t rsigmarelvar = GetRSigmaRelVar();
|
|---|
| 437 |
|
|---|
| 438 | if (rsigmarelvar <= 0)
|
|---|
| 439 | return -1.;
|
|---|
| 440 |
|
|---|
| 441 |
|
|---|
| 442 | const Float_t meanrelvar = GetMeanRelVar();
|
|---|
| 443 |
|
|---|
| 444 | if (meanrelvar <= 0.)
|
|---|
| 445 | return -1.;
|
|---|
| 446 |
|
|---|
| 447 | return TMath::Sqrt(rsigmarelvar + meanrelvar) * GetRSigmaPerCharge();
|
|---|
| 448 | }
|
|---|
| 449 |
|
|---|
| 450 | // --------------------------------------------------------------------------
|
|---|
| 451 | //
|
|---|
| 452 | // Get the reduced Sigma Square:
|
|---|
| 453 | // - If fRSigmaSquare is smaller than 0 (i.e. has not yet been set), return -1.
|
|---|
| 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.)
|
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| 777 | return;
|
|---|
| 778 |
|
|---|
| 779 | if (fPedVar < 0.)
|
|---|
| 780 | return;
|
|---|
| 781 |
|
|---|
| 782 | const Float_t elecPedRms = gkElectronicPedRms * TMath::Sqrt(logainsamples);
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|---|
| 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 |
|
|---|