| 1 | #ifndef MARS_MHCalibrationChargeBlindPix
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| 2 | #define MARS_MHCalibrationChargeBlindPix
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| 3 |
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| 4 |
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| 5 | #ifndef MARS_MHCalibrationChargePix
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| 6 | #include "MHCalibrationChargePix.h"
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| 7 | #endif
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| 8 |
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| 9 | #ifndef ROOT_TMatrix
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| 10 | #include <TMatrix.h>
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| 11 | #endif
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| 12 |
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| 13 | #ifndef ROOT_TF1
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| 14 | #include <TF1.h>
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| 15 | #endif
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| 16 |
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| 17 | class TH1F;
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| 18 | class TF1;
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| 19 | class TPaveText;
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| 20 | class TText;
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| 21 | class MRawEvtData;
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| 22 | class MRawEvtPixelIter;
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| 23 | class MCalibrationChargeBlindPix;
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| 24 | class MExtractBlindPixel;
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| 25 | class MExtractedSignalBlindPixel;
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| 26 | class MHCalibrationChargeBlindPix : public MHGausEvents
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| 27 | {
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| 28 | private:
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| 29 |
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| 30 | static const Int_t fgChargeNbins; //! Default for fNBins (now set to: 5300 )
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| 31 | static const Axis_t fgChargeFirst; //! Default for fFirst (now set to: -100.5 )
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| 32 | static const Axis_t fgChargeLast; //! Default for fLast (now set to: 5199.5 )
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| 33 | static const Float_t fgSinglePheCut; //! Default for fSinglePheCut (now set to: 200 )
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| 34 | static const Float_t fgNumSinglePheLimit; //! Default for fNumSinglePheLimit (now set to: 50)
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| 35 | static const Float_t gkSignalInitializer; //! Signal initializer (-9999.)
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| 36 |
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| 37 | static const Double_t gkElectronicAmp; // Electronic Amplification after the PMT (in FADC counts/N_e)
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| 38 | static const Double_t gkElectronicAmpErr; // Error of the electronic amplification
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| 39 |
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| 40 | Float_t fSinglePheCut; // Value of summed FADC slices upon which event considered as single-phe
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| 41 | Float_t fNumSinglePheLimit; // Minimum number of single-phe events
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| 42 |
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| 43 | MCalibrationChargeBlindPix *fBlindPix; //! Storage container results
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| 44 | MExtractedSignalBlindPixel *fSignal; //! Storage container extracted signal
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| 45 | MRawEvtData *fRawEvt; //! Storage container raw data
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| 46 |
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| 47 | TVector fASinglePheFADCSlices; // Averaged FADC slice entries supposed single-phe events
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| 48 | TVector fAPedestalFADCSlices; // Averaged FADC slice entries supposed pedestal events
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| 49 |
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| 50 | TF1 *fSinglePheFit; // Single Phe Fit (Gaussians convoluted with Poisson)
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| 51 |
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| 52 | UInt_t fNumSinglePhes; // Number of entries in fASinglePheFADCSlices
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| 53 | UInt_t fNumPedestals; // Number of entries in fAPedestalFADCSlices
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| 54 |
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| 55 | Double_t fLambda; // Poisson mean from Single-phe fit
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| 56 | Double_t fLambdaCheck; // Poisson mean from Pedestal fit alone
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| 57 | Double_t fMu0; // Mean of the pedestal
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| 58 | Double_t fMu1; // Mean of single-phe peak
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| 59 | Double_t fSigma0; // Sigma of the pedestal
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| 60 | Double_t fSigma1; // Sigma of single-phe peak
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| 61 | Double_t fLambdaErr; // Error of Poisson mean from Single-phe fit
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| 62 | Double_t fLambdaCheckErr; // Error of Poisson mean from Pedestal fit alone
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| 63 | Double_t fMu0Err; // Error of Mean of the pedestal
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| 64 | Double_t fMu1Err; // Error of Mean of single-phe peak
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| 65 | Double_t fSigma0Err; // Error of Sigma of the pedestal
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| 66 | Double_t fSigma1Err; // Error of Sigma of single-phe peak
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| 67 | Double_t fChisquare; // Chisquare of single-phe fit
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| 68 | Int_t fNDF; // Ndof of single-phe fit
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| 69 | Double_t fProb; // Probability of singleo-phe fit
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| 70 | Double_t fMeanPedestal; // Mean pedestal from pedestal run
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| 71 | Double_t fSigmaPedestal; // Sigma pedestal from pedestal run
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| 72 | Double_t fMeanPedestalErr; // Error of Mean pedestal from pedestal run
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| 73 | Double_t fSigmaPedestalErr; // Error of Sigma pedestal from pedestal run
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| 74 |
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| 75 | Byte_t fFlags; // Bit-field for the flags
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| 76 | enum { kSinglePheFitOK, kPedestalFitOK }; // Possible bits to be set
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| 77 |
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| 78 | TPaveText *fFitLegend; //! Some legend to display the fit results
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| 79 | TH1F *fHSinglePheFADCSlices; //! A histogram created and deleted only in Draw()
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| 80 | TH1F *fHPedestalFADCSlices; //! A histogram created and deleted only in Draw()
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| 81 |
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| 82 | // Fill histos
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| 83 | void FillSinglePheFADCSlices(const MRawEvtPixelIter &iter);
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| 84 | void FillPedestalFADCSlices( const MRawEvtPixelIter &iter);
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| 85 |
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| 86 | // Fit
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| 87 | Bool_t InitFit();
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| 88 | void ExitFit();
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| 89 |
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| 90 | public:
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| 91 |
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| 92 | MHCalibrationChargeBlindPix(const char *name=NULL, const char *title=NULL);
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| 93 | ~MHCalibrationChargeBlindPix();
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| 94 |
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| 95 | void Clear(Option_t *o="");
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| 96 | void Reset();
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| 97 |
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| 98 | // TObject *Clone(const char *) const;
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| 99 |
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| 100 | Bool_t SetupFill(const MParList *pList);
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| 101 | Bool_t ReInit ( MParList *pList);
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| 102 | Bool_t Fill (const MParContainer *par, const Stat_t w=1);
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| 103 | Bool_t Finalize();
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| 104 |
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| 105 | // Getters
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| 106 | const Double_t GetLambda () const { return fLambda; }
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| 107 | const Double_t GetLambdaCheck () const { return fLambdaCheck; }
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| 108 | const Double_t GetMu0 () const { return fMu0; }
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| 109 | const Double_t GetMu1 () const { return fMu1; }
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| 110 | const Double_t GetSigma0 () const { return fSigma0; }
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| 111 | const Double_t GetSigma1 () const { return fSigma1; }
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| 112 | const Double_t GetLambdaErr () const { return fLambdaErr; }
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| 113 | const Double_t GetLambdaCheckErr() const { return fLambdaCheckErr; }
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| 114 | const Double_t GetMu0Err () const { return fMu0Err; }
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| 115 | const Double_t GetMu1Err () const { return fMu1Err; }
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| 116 | const Double_t GetSigma0Err () const { return fSigma0Err; }
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| 117 | const Double_t GetSigma1Err () const { return fSigma1Err; }
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| 118 | const Float_t GetSinglePheCut () const { return fSinglePheCut; }
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| 119 |
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| 120 | TVector &GetASinglePheFADCSlices() { return fASinglePheFADCSlices; }
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| 121 | const TVector &GetASinglePheFADCSlices() const { return fASinglePheFADCSlices; }
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| 122 |
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| 123 | TVector &GetAPedestalFADCSlices() { return fAPedestalFADCSlices; }
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| 124 | const TVector &GetAPedestalFADCSlices() const { return fAPedestalFADCSlices; }
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| 125 |
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| 126 | const Bool_t IsSinglePheFitOK() const;
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| 127 | const Bool_t IsPedestalFitOK() const;
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| 128 |
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| 129 | // Setters
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| 130 | void SetCalibrationChargeBlindPix ( MCalibrationChargeBlindPix *pix) { fBlindPix = pix; }
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| 131 | void SetSinglePheCut ( const Float_t cut =fgSinglePheCut ) { fSinglePheCut = cut; }
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| 132 | void SetNumSinglePheLimit ( const Float_t lim =fgNumSinglePheLimit ) { fNumSinglePheLimit = lim; }
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| 133 |
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| 134 | void SetMeanPedestal ( const Float_t f ) { fMeanPedestal = f; }
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| 135 | void SetMeanPedestalErr ( const Float_t f ) { fMeanPedestalErr = f; }
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| 136 | void SetSigmaPedestal ( const Float_t f ) { fSigmaPedestal = f; }
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| 137 | void SetSigmaPedestalErr ( const Float_t f ) { fSigmaPedestalErr = f; }
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| 138 |
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| 139 | void SetSinglePheFitOK ( const Bool_t b=kTRUE);
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| 140 | void SetPedestalFitOK ( const Bool_t b=kTRUE);
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| 141 |
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| 142 | // Draws
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| 143 | void Draw(Option_t *opt="");
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| 144 |
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| 145 | private:
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| 146 | void DrawLegend(Option_t *opt="");
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| 147 |
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| 148 | // Fits
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| 149 | public:
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| 150 | enum FitFunc_t { kEPoisson4, kEPoisson5, kEPoisson6, kEPoisson7, kEPolya, kEMichele }; // The possible fit functions
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| 151 |
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| 152 | private:
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| 153 | FitFunc_t fFitFunc;
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| 154 |
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| 155 | public:
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| 156 | Bool_t FitSinglePhe (Option_t *opt="RL0+Q");
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| 157 | void FitPedestal (Option_t *opt="RL0+Q");
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| 158 |
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| 159 | void ChangeFitFunc(const FitFunc_t func) { fFitFunc = func; }
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| 160 |
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| 161 | // Simulation
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| 162 | Bool_t SimulateSinglePhe(const Double_t lambda,
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| 163 | const Double_t mu0, const Double_t mu1,
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| 164 | const Double_t sigma0, const Double_t sigma1);
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| 165 |
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| 166 | private:
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| 167 |
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| 168 | inline static Double_t fFitFuncMichele(Double_t *x, Double_t *par)
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| 169 | {
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| 170 |
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| 171 | Double_t lambda1cat = par[0];
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| 172 | Double_t lambda1dyn = par[1];
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| 173 | Double_t mu0 = par[2];
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| 174 | Double_t mu1cat = par[3];
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| 175 | Double_t mu1dyn = par[4];
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| 176 | Double_t sigma0 = par[5];
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| 177 | Double_t sigma1cat = par[6];
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| 178 | Double_t sigma1dyn = par[7];
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| 179 |
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| 180 | Double_t sumcat = 0.;
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| 181 | Double_t sumdyn = 0.;
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| 182 | Double_t arg = 0.;
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| 183 |
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| 184 | if (lambda1cat < lambda1dyn)
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| 185 | return FLT_MAX;
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| 186 |
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| 187 | if (mu1cat < mu0)
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| 188 | return FLT_MAX;
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| 189 |
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| 190 | if (mu1dyn < mu0)
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| 191 | return FLT_MAX;
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| 192 |
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| 193 | if (mu1cat < mu1dyn)
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| 194 | return FLT_MAX;
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| 195 |
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| 196 | if (sigma0 < 0.0001)
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| 197 | return FLT_MAX;
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| 198 |
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| 199 | if (sigma1cat < sigma0)
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| 200 | return FLT_MAX;
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| 201 |
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| 202 | if (sigma1dyn < sigma0)
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| 203 | return FLT_MAX;
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| 204 |
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| 205 | Double_t mu2cat = (2.*mu1cat)-mu0;
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| 206 | Double_t mu2dyn = (2.*mu1dyn)-mu0;
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| 207 | Double_t mu3cat = (3.*mu1cat)-(2.*mu0);
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| 208 | Double_t mu3dyn = (3.*mu1dyn)-(2.*mu0);
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| 209 |
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| 210 | Double_t sigma2cat = TMath::Sqrt((2.*sigma1cat*sigma1cat) - (sigma0*sigma0));
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| 211 | Double_t sigma2dyn = TMath::Sqrt((2.*sigma1dyn*sigma1dyn) - (sigma0*sigma0));
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| 212 | Double_t sigma3cat = TMath::Sqrt((3.*sigma1cat*sigma1cat) - (2.*sigma0*sigma0));
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| 213 | Double_t sigma3dyn = TMath::Sqrt((3.*sigma1dyn*sigma1dyn) - (2.*sigma0*sigma0));
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| 214 |
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| 215 | Double_t lambda2cat = lambda1cat*lambda1cat;
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| 216 | Double_t lambda2dyn = lambda1dyn*lambda1dyn;
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| 217 | Double_t lambda3cat = lambda2cat*lambda1cat;
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| 218 | Double_t lambda3dyn = lambda2dyn*lambda1dyn;
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| 219 |
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| 220 | // k=0:
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| 221 | arg = (x[0] - mu0)/sigma0;
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| 222 | sumcat = TMath::Exp(-0.5*arg*arg)/sigma0;
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| 223 | sumdyn = sumcat;
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| 224 |
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| 225 | // k=1cat:
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| 226 | arg = (x[0] - mu1cat)/sigma1cat;
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| 227 | sumcat += lambda1cat*TMath::Exp(-0.5*arg*arg)/sigma1cat;
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| 228 | // k=1dyn:
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| 229 | arg = (x[0] - mu1dyn)/sigma1dyn;
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| 230 | sumdyn += lambda1dyn*TMath::Exp(-0.5*arg*arg)/sigma1dyn;
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| 231 |
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| 232 | // k=2cat:
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| 233 | arg = (x[0] - mu2cat)/sigma2cat;
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| 234 | sumcat += 0.5*lambda2cat*TMath::Exp(-0.5*arg*arg)/sigma2cat;
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| 235 | // k=2dyn:
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| 236 | arg = (x[0] - mu2dyn)/sigma2dyn;
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| 237 | sumdyn += 0.5*lambda2dyn*TMath::Exp(-0.5*arg*arg)/sigma2dyn;
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| 238 |
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| 239 |
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| 240 | // k=3cat:
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| 241 | arg = (x[0] - mu3cat)/sigma3cat;
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| 242 | sumcat += 0.1666666667*lambda3cat*TMath::Exp(-0.5*arg*arg)/sigma3cat;
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| 243 | // k=3dyn:
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| 244 | arg = (x[0] - mu3dyn)/sigma3dyn;
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| 245 | sumdyn += 0.1666666667*lambda3dyn*TMath::Exp(-0.5*arg*arg)/sigma3dyn;
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| 246 |
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| 247 | sumcat = TMath::Exp(-1.*lambda1cat)*sumcat;
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| 248 | sumdyn = TMath::Exp(-1.*lambda1dyn)*sumdyn;
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| 249 |
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| 250 | return par[8]*(sumcat+sumdyn)/2.;
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| 251 |
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| 252 | }
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| 253 |
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| 254 | inline static Double_t fPoissonKto4(Double_t *x, Double_t *par)
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| 255 | {
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| 256 |
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| 257 | Double_t lambda = par[0];
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| 258 |
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| 259 | Double_t sum = 0.;
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| 260 | Double_t arg = 0.;
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| 261 |
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| 262 | Double_t mu0 = par[1];
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| 263 | Double_t mu1 = par[2];
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| 264 |
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| 265 | if (mu1 < mu0)
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| 266 | return FLT_MAX;
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| 267 |
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| 268 | Double_t sigma0 = par[3];
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| 269 | Double_t sigma1 = par[4];
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| 270 |
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| 271 | if (sigma0 < 0.0001)
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| 272 | return FLT_MAX;
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| 273 |
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| 274 | if (sigma1 < sigma0)
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| 275 | return FLT_MAX;
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| 276 |
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| 277 | Double_t mu2 = (2.*mu1)-mu0;
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| 278 | Double_t mu3 = (3.*mu1)-(2.*mu0);
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| 279 | Double_t mu4 = (4.*mu1)-(3.*mu0);
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| 280 |
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| 281 | Double_t sigma2 = TMath::Sqrt((2.*sigma1*sigma1) - (sigma0*sigma0));
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| 282 | Double_t sigma3 = TMath::Sqrt((3.*sigma1*sigma1) - (2.*sigma0*sigma0));
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| 283 | Double_t sigma4 = TMath::Sqrt((4.*sigma1*sigma1) - (3.*sigma0*sigma0));
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| 284 |
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| 285 | Double_t lambda2 = lambda*lambda;
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| 286 | Double_t lambda3 = lambda2*lambda;
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| 287 | Double_t lambda4 = lambda3*lambda;
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| 288 |
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| 289 | // k=0:
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| 290 | arg = (x[0] - mu0)/sigma0;
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| 291 | sum = TMath::Exp(-0.5*arg*arg)/sigma0;
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| 292 |
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| 293 | // k=1:
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| 294 | arg = (x[0] - mu1)/sigma1;
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| 295 | sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1;
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| 296 |
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| 297 | // k=2:
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| 298 | arg = (x[0] - mu2)/sigma2;
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| 299 | sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2;
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| 300 |
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| 301 | // k=3:
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| 302 | arg = (x[0] - mu3)/sigma3;
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| 303 | sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3;
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| 304 |
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| 305 | // k=4:
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| 306 | arg = (x[0] - mu4)/sigma4;
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| 307 | sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4;
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| 308 |
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| 309 | return TMath::Exp(-1.*lambda)*par[5]*sum;
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| 310 |
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| 311 | }
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| 312 |
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| 313 |
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| 314 | inline static Double_t fPoissonKto5(Double_t *x, Double_t *par)
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| 315 | {
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| 316 |
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| 317 | Double_t lambda = par[0];
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| 318 |
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| 319 | Double_t sum = 0.;
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| 320 | Double_t arg = 0.;
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| 321 |
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| 322 | Double_t mu0 = par[1];
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| 323 | Double_t mu1 = par[2];
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| 324 |
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| 325 | if (mu1 < mu0)
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| 326 | return FLT_MAX;
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| 327 |
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| 328 | Double_t sigma0 = par[3];
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| 329 | Double_t sigma1 = par[4];
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| 330 |
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| 331 | if (sigma0 < 0.0001)
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| 332 | return FLT_MAX;
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| 333 |
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| 334 | if (sigma1 < sigma0)
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| 335 | return FLT_MAX;
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| 336 |
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| 337 |
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| 338 | Double_t mu2 = (2.*mu1)-mu0;
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| 339 | Double_t mu3 = (3.*mu1)-(2.*mu0);
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| 340 | Double_t mu4 = (4.*mu1)-(3.*mu0);
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| 341 | Double_t mu5 = (5.*mu1)-(4.*mu0);
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| 342 |
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| 343 | Double_t sigma2 = TMath::Sqrt((2.*sigma1*sigma1) - (sigma0*sigma0));
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| 344 | Double_t sigma3 = TMath::Sqrt((3.*sigma1*sigma1) - (2.*sigma0*sigma0));
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| 345 | Double_t sigma4 = TMath::Sqrt((4.*sigma1*sigma1) - (3.*sigma0*sigma0));
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| 346 | Double_t sigma5 = TMath::Sqrt((5.*sigma1*sigma1) - (4.*sigma0*sigma0));
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| 347 |
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| 348 | Double_t lambda2 = lambda*lambda;
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| 349 | Double_t lambda3 = lambda2*lambda;
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| 350 | Double_t lambda4 = lambda3*lambda;
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| 351 | Double_t lambda5 = lambda4*lambda;
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| 352 |
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| 353 | // k=0:
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| 354 | arg = (x[0] - mu0)/sigma0;
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| 355 | sum = TMath::Exp(-0.5*arg*arg)/sigma0;
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| 356 |
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| 357 | // k=1:
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| 358 | arg = (x[0] - mu1)/sigma1;
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| 359 | sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1;
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| 360 |
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| 361 | // k=2:
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| 362 | arg = (x[0] - mu2)/sigma2;
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| 363 | sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2;
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| 364 |
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| 365 | // k=3:
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| 366 | arg = (x[0] - mu3)/sigma3;
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| 367 | sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3;
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| 368 |
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| 369 | // k=4:
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| 370 | arg = (x[0] - mu4)/sigma4;
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| 371 | sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4;
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| 372 |
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| 373 | // k=5:
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| 374 | arg = (x[0] - mu5)/sigma5;
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| 375 | sum += 0.008333333333333*lambda5*TMath::Exp(-0.5*arg*arg)/sigma5;
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| 376 |
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| 377 | return TMath::Exp(-1.*lambda)*par[5]*sum;
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| 378 |
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| 379 | }
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| 380 |
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| 381 |
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| 382 | inline static Double_t fPoissonKto6(Double_t *x, Double_t *par)
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| 383 | {
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| 384 |
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| 385 | Double_t lambda = par[0];
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| 386 |
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| 387 | Double_t sum = 0.;
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| 388 | Double_t arg = 0.;
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| 389 |
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| 390 | Double_t mu0 = par[1];
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| 391 | Double_t mu1 = par[2];
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| 392 |
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| 393 | if (mu1 < mu0)
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| 394 | return FLT_MAX;
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| 395 |
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| 396 | Double_t sigma0 = par[3];
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| 397 | Double_t sigma1 = par[4];
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| 398 |
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| 399 | if (sigma0 < 0.0001)
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| 400 | return FLT_MAX;
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| 401 |
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| 402 | if (sigma1 < sigma0)
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| 403 | return FLT_MAX;
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| 404 |
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| 405 |
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| 406 | Double_t mu2 = (2.*mu1)-mu0;
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| 407 | Double_t mu3 = (3.*mu1)-(2.*mu0);
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| 408 | Double_t mu4 = (4.*mu1)-(3.*mu0);
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| 409 | Double_t mu5 = (5.*mu1)-(4.*mu0);
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| 410 | Double_t mu6 = (6.*mu1)-(5.*mu0);
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| 411 |
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| 412 | Double_t sigma2 = TMath::Sqrt((2.*sigma1*sigma1) - (sigma0*sigma0));
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| 413 | Double_t sigma3 = TMath::Sqrt((3.*sigma1*sigma1) - (2.*sigma0*sigma0));
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| 414 | Double_t sigma4 = TMath::Sqrt((4.*sigma1*sigma1) - (3.*sigma0*sigma0));
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| 415 | Double_t sigma5 = TMath::Sqrt((5.*sigma1*sigma1) - (4.*sigma0*sigma0));
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| 416 | Double_t sigma6 = TMath::Sqrt((6.*sigma1*sigma1) - (5.*sigma0*sigma0));
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| 417 |
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| 418 | Double_t lambda2 = lambda*lambda;
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| 419 | Double_t lambda3 = lambda2*lambda;
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| 420 | Double_t lambda4 = lambda3*lambda;
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| 421 | Double_t lambda5 = lambda4*lambda;
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| 422 | Double_t lambda6 = lambda5*lambda;
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| 423 |
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| 424 | // k=0:
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| 425 | arg = (x[0] - mu0)/sigma0;
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| 426 | sum = TMath::Exp(-0.5*arg*arg)/sigma0;
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| 427 |
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| 428 | // k=1:
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| 429 | arg = (x[0] - mu1)/sigma1;
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| 430 | sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1;
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| 431 |
|
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| 432 | // k=2:
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| 433 | arg = (x[0] - mu2)/sigma2;
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| 434 | sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2;
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| 435 |
|
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| 436 | // k=3:
|
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| 437 | arg = (x[0] - mu3)/sigma3;
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| 438 | sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3;
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| 439 |
|
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| 440 | // k=4:
|
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| 441 | arg = (x[0] - mu4)/sigma4;
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| 442 | sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4;
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| 443 |
|
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| 444 | // k=5:
|
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| 445 | arg = (x[0] - mu5)/sigma5;
|
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| 446 | sum += 0.008333333333333*lambda5*TMath::Exp(-0.5*arg*arg)/sigma5;
|
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| 447 |
|
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| 448 | // k=6:
|
|---|
| 449 | arg = (x[0] - mu6)/sigma6;
|
|---|
| 450 | sum += 0.001388888888889*lambda6*TMath::Exp(-0.5*arg*arg)/sigma6;
|
|---|
| 451 |
|
|---|
| 452 | return TMath::Exp(-1.*lambda)*par[5]*sum;
|
|---|
| 453 |
|
|---|
| 454 | }
|
|---|
| 455 |
|
|---|
| 456 | inline static Double_t fPolya(Double_t *x, Double_t *par)
|
|---|
| 457 | {
|
|---|
| 458 |
|
|---|
| 459 | const Double_t QEcat = 0.247; // mean quantum efficiency
|
|---|
| 460 | const Double_t sqrt2 = 1.4142135623731;
|
|---|
| 461 | const Double_t sqrt3 = 1.7320508075689;
|
|---|
| 462 | const Double_t sqrt4 = 2.;
|
|---|
| 463 |
|
|---|
| 464 | const Double_t lambda = par[0]; // mean number of photons
|
|---|
| 465 |
|
|---|
| 466 | const Double_t excessPoisson = par[1]; // non-Poissonic noise contribution
|
|---|
| 467 | const Double_t delta1 = par[2]; // amplification first dynode
|
|---|
| 468 | const Double_t delta2 = par[3]; // amplification subsequent dynodes
|
|---|
| 469 |
|
|---|
| 470 | const Double_t electronicAmpl = par[4]; // electronic amplification and conversion to FADC charges
|
|---|
| 471 |
|
|---|
| 472 | const Double_t pmtAmpl = delta1*delta2*delta2*delta2*delta2*delta2; // total PMT gain
|
|---|
| 473 | const Double_t A = 1. + excessPoisson - QEcat
|
|---|
| 474 | + 1./delta1
|
|---|
| 475 | + 1./delta1/delta2
|
|---|
| 476 | + 1./delta1/delta2/delta2; // variance contributions from PMT and QE
|
|---|
| 477 |
|
|---|
| 478 | const Double_t totAmpl = QEcat*pmtAmpl*electronicAmpl; // Total gain and conversion
|
|---|
| 479 |
|
|---|
| 480 | const Double_t mu0 = par[7]; // pedestal
|
|---|
| 481 | const Double_t mu1 = totAmpl; // single phe position
|
|---|
| 482 | const Double_t mu2 = 2*totAmpl; // double phe position
|
|---|
| 483 | const Double_t mu3 = 3*totAmpl; // triple phe position
|
|---|
| 484 | const Double_t mu4 = 4*totAmpl; // quadruple phe position
|
|---|
| 485 |
|
|---|
| 486 | const Double_t sigma0 = par[5];
|
|---|
| 487 | const Double_t sigma1 = electronicAmpl*pmtAmpl*TMath::Sqrt(QEcat*A);
|
|---|
| 488 | const Double_t sigma2 = sqrt2*sigma1;
|
|---|
| 489 | const Double_t sigma3 = sqrt3*sigma1;
|
|---|
| 490 | const Double_t sigma4 = sqrt4*sigma1;
|
|---|
| 491 |
|
|---|
| 492 | const Double_t lambda2 = lambda*lambda;
|
|---|
| 493 | const Double_t lambda3 = lambda2*lambda;
|
|---|
| 494 | const Double_t lambda4 = lambda3*lambda;
|
|---|
| 495 |
|
|---|
| 496 | //-- calculate the area----
|
|---|
| 497 | Double_t arg = (x[0] - mu0)/sigma0;
|
|---|
| 498 | Double_t sum = TMath::Exp(-0.5*arg*arg)/sigma0;
|
|---|
| 499 |
|
|---|
| 500 | // k=1:
|
|---|
| 501 | arg = (x[0] - mu1)/sigma1;
|
|---|
| 502 | sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1;
|
|---|
| 503 |
|
|---|
| 504 | // k=2:
|
|---|
| 505 | arg = (x[0] - mu2)/sigma2;
|
|---|
| 506 | sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2;
|
|---|
| 507 |
|
|---|
| 508 | // k=3:
|
|---|
| 509 | arg = (x[0] - mu3)/sigma3;
|
|---|
| 510 | sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3;
|
|---|
| 511 |
|
|---|
| 512 | // k=4:
|
|---|
| 513 | arg = (x[0] - mu4)/sigma4;
|
|---|
| 514 | sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4;
|
|---|
| 515 |
|
|---|
| 516 | return TMath::Exp(-1.*lambda)*par[6]*sum;
|
|---|
| 517 | }
|
|---|
| 518 |
|
|---|
| 519 | ClassDef(MHCalibrationChargeBlindPix, 1) // Histogram class for Charge Blind Pixel Calibration
|
|---|
| 520 | };
|
|---|
| 521 |
|
|---|
| 522 | #endif /* MARS_MHCalibrationChargeBlindPix */
|
|---|