#ifndef MARS_MHCalibrationBlindPixel #define MARS_MHCalibrationBlindPixel #ifndef MARS_MH #include "MH.h" #endif class TArrayF; class TArrayI; class TH1F; class TH1I; class TF1; class TPaveText; class TMath; class MParList; class MHCalibrationBlindPixel : public MH { private: static const Int_t fgBlindPixelChargeNbins; static const Int_t fgBlindPixelTimeNbins; static const Axis_t fgBlindPixelTimeFirst; static const Axis_t fgBlindPixelTimeLast; static const Double_t fgBlindPixelElectronicAmp; static const Double_t fgBlindPixelElectronicAmpError; static const Int_t fPSDNbins; static const Int_t fPulserFrequency; TH1I* fHBlindPixelCharge; // Histogram with the single Phe spectrum TH1F* fHBlindPixelTime; // Variance of summed FADC slices TH1F* fHBlindPixelPSD; // Power spectrum density of fHBlindPixelChargevsN TH1I* fHSinglePheFADCSlices; TH1I* fHPedestalFADCSlices; TF1 *fSinglePheFit; TF1 *fTimeGausFit; TF1 *fSinglePhePedFit; TArrayF* fPSDHiGain; //-> Power spectrum density of fHiGains TArrayF* fPSDLoGain; //-> Power spectrum density of fLoGains TH1I* fHPSD; //-> TF1* fPSDExpFit; //-> TArrayF *fHiGains; //-> TArrayF *fLoGains; //-> TArrayF *fChargeXaxis; // TArrayF *fPSDXaxis; // Float_t fPSDProb; Int_t fTotalEntries; // Number of entries Int_t fCurrentSize; Axis_t fBlindPixelChargefirst; Axis_t fBlindPixelChargelast; void DrawLegend(); void CreateChargeXaxis(Int_t n); void CreatePSDXaxis(Int_t n); void CutArrayBorder(TArrayF *array) const; void CutArrayBorder(TArrayI *array) const; TPaveText *fFitLegend; Double_t fLambda; Double_t fMu0; Double_t fMu1; Double_t fSigma0; Double_t fSigma1; Double_t fLambdaErr; Double_t fMu0Err; Double_t fMu1Err; Double_t fSigma0Err; Double_t fSigma1Err; Double_t fChisquare; Double_t fProb; Int_t fNdf; Double_t fMeanTime; Double_t fMeanTimeErr; Double_t fSigmaTime; Double_t fSigmaTimeErr; Double_t fLambdaCheck; Double_t fLambdaCheckErr; Double_t fMeanPedestal; Double_t fMeanPedestalErr; Double_t fSigmaPedestal; Double_t fSigmaPedestalErr; Byte_t fFlags; enum { kFitOK, kOscillating }; public: MHCalibrationBlindPixel(const char *name=NULL, const char *title=NULL); ~MHCalibrationBlindPixel(); void Clear(Option_t *o=""); void Reset(); Bool_t FillBlindPixelCharge(const Int_t q); Bool_t FillBlindPixelTime(const Float_t t); Bool_t FillGraphs(const Int_t qhi, const Int_t qlo); // Setters void SetMeanPedestal(const Float_t f) { fMeanPedestal = f; } void SetMeanPedestalErr(const Float_t f) { fMeanPedestalErr = f; } void SetSigmaPedestal(const Float_t f) { fSigmaPedestal = f; } void SetSigmaPedestalErr(const Float_t f) { fSigmaPedestalErr = f; } // Getters const Double_t GetLambda() const { return fLambda; } const Double_t GetLambdaCheck() const { return fLambdaCheck; } const Double_t GetMu0() const { return fMu0; } const Double_t GetMu1() const { return fMu1; } const Double_t GetSigma0() const { return fSigma0; } const Double_t GetSigma1() const { return fSigma1; } const Double_t GetLambdaErr() const { return fLambdaErr; } const Double_t GetLambdaCheckErr() const { return fLambdaCheckErr; } const Double_t GetMu0Err() const { return fMu0Err; } const Double_t GetMu1Err() const { return fMu1Err; } const Double_t GetSigma0Err() const { return fSigma0Err; } const Double_t GetSigma1Err() const { return fSigma1Err; } const Double_t GetChiSquare() const { return fChisquare; } const Double_t GetProb() const { return fProb; } const Int_t GetNdf() const { return fNdf; } const Double_t GetMeanTime() const { return fMeanTime; } const Double_t GetMeanTimeErr() const { return fMeanTimeErr; } const Double_t GetSigmaTime() const { return fSigmaTime; } const Double_t GetSigmaTimeErr() const { return fSigmaTimeErr; } TH1I *GetHSinglePheFADCSlices() { return fHSinglePheFADCSlices; } TH1I *GetHPedestalFADCSlices() { return fHPedestalFADCSlices; } const Bool_t IsFitOK() const; const Bool_t IsOscillating(); const TH1F *GetHBlindPixelPSD() const { return fHBlindPixelPSD; } // Draws TObject *DrawClone(Option_t *option="") const; void Draw(Option_t *option=""); // Fits enum FitFunc_t { kEPoisson4, kEPoisson5, kEPoisson6, kEPoisson7, kEPolya, kEMichele }; private: FitFunc_t fFitFunc; public: Bool_t FitSinglePhe(Axis_t rmin=0, Axis_t rmax=0, Option_t *opt="RL0+Q"); Bool_t FitTime(Axis_t rmin=0., Axis_t rmax=0.,Option_t *opt="R0+Q"); void ChangeFitFunc(FitFunc_t func) { fFitFunc = func; } // Simulation Bool_t SimulateSinglePhe(Double_t lambda, Double_t mu0,Double_t mu1, Double_t sigma0,Double_t sigma1); // Others void CutAllEdges(); Bool_t CheckOscillations(); private: const static Double_t fNoWay = 10000000000.0; Bool_t InitFit(Axis_t min, Axis_t max); void ExitFit(TF1 *f); inline static Double_t fFitFuncMichele(Double_t *x, Double_t *par) { Double_t lambda1cat = par[0]; Double_t lambda1dyn = par[1]; Double_t mu0 = par[2]; Double_t mu1cat = par[3]; Double_t mu1dyn = par[4]; Double_t sigma0 = par[5]; Double_t sigma1cat = par[6]; Double_t sigma1dyn = par[7]; Double_t sumcat = 0.; Double_t sumdyn = 0.; Double_t arg = 0.; if (mu1cat < mu0) return fNoWay; if (sigma1cat < sigma0) return fNoWay; // if (sigma1cat < sigma1dyn) // return NoWay; //if (mu1cat < mu1dyn) // return NoWay; // if (lambda1cat < lambda1dyn) // return NoWay; Double_t mu2cat = (2.*mu1cat)-mu0; Double_t mu2dyn = (2.*mu1dyn)-mu0; Double_t mu3cat = (3.*mu1cat)-(2.*mu0); Double_t mu3dyn = (3.*mu1dyn)-(2.*mu0); Double_t sigma2cat = TMath::Sqrt((2.*sigma1cat*sigma1cat) - (sigma0*sigma0)); Double_t sigma2dyn = TMath::Sqrt((2.*sigma1dyn*sigma1dyn) - (sigma0*sigma0)); Double_t sigma3cat = TMath::Sqrt((3.*sigma1cat*sigma1cat) - (2.*sigma0*sigma0)); Double_t sigma3dyn = TMath::Sqrt((3.*sigma1dyn*sigma1dyn) - (2.*sigma0*sigma0)); Double_t lambda2cat = lambda1cat*lambda1cat; Double_t lambda2dyn = lambda1dyn*lambda1dyn; Double_t lambda3cat = lambda2cat*lambda1cat; Double_t lambda3dyn = lambda2dyn*lambda1dyn; // k=0: arg = (x[0] - mu0)/sigma0; sumcat = TMath::Exp(-0.5*arg*arg)/sigma0; sumdyn =sumcat; // k=1cat: arg = (x[0] - mu1cat)/sigma1cat; sumcat += lambda1cat*TMath::Exp(-0.5*arg*arg)/sigma1cat; // k=1dyn: arg = (x[0] - mu1dyn)/sigma1dyn; sumdyn += lambda1dyn*TMath::Exp(-0.5*arg*arg)/sigma1dyn; // k=2cat: arg = (x[0] - mu2cat)/sigma2cat; sumcat += 0.5*lambda2cat*TMath::Exp(-0.5*arg*arg)/sigma2cat; // k=2dyn: arg = (x[0] - mu2dyn)/sigma2dyn; sumdyn += 0.5*lambda2dyn*TMath::Exp(-0.5*arg*arg)/sigma2dyn; // k=3cat: arg = (x[0] - mu3cat)/sigma3cat; sumcat += 0.1666666667*lambda3cat*TMath::Exp(-0.5*arg*arg)/sigma3cat; // k=3dyn: arg = (x[0] - mu3dyn)/sigma3dyn; sumdyn += 0.1666666667*lambda3dyn*TMath::Exp(-0.5*arg*arg)/sigma3dyn; sumcat = TMath::Exp(-1.*lambda1cat)*sumcat; sumdyn = TMath::Exp(-1.*lambda1dyn)*sumdyn; return par[8]*(sumcat+sumdyn)/2.; } inline static Double_t fPoissonKto4(Double_t *x, Double_t *par) { Double_t lambda = par[0]; Double_t sum = 0.; Double_t arg = 0.; Double_t mu0 = par[1]; Double_t mu1 = par[2]; if (mu1 < mu0) return fNoWay; Double_t sigma0 = par[3]; Double_t sigma1 = par[4]; if (sigma1 < sigma0) return fNoWay; Double_t mu2 = (2.*mu1)-mu0; Double_t mu3 = (3.*mu1)-(2.*mu0); Double_t mu4 = (4.*mu1)-(3.*mu0); Double_t sigma2 = TMath::Sqrt((2.*sigma1*sigma1) - (sigma0*sigma0)); Double_t sigma3 = TMath::Sqrt((3.*sigma1*sigma1) - (2.*sigma0*sigma0)); Double_t sigma4 = TMath::Sqrt((4.*sigma1*sigma1) - (3.*sigma0*sigma0)); Double_t lambda2 = lambda*lambda; Double_t lambda3 = lambda2*lambda; Double_t lambda4 = lambda3*lambda; // k=0: arg = (x[0] - mu0)/sigma0; sum = TMath::Exp(-0.5*arg*arg)/sigma0; // k=1: arg = (x[0] - mu1)/sigma1; sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1; // k=2: arg = (x[0] - mu2)/sigma2; sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2; // k=3: arg = (x[0] - mu3)/sigma3; sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3; // k=4: arg = (x[0] - mu4)/sigma4; sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4; return TMath::Exp(-1.*lambda)*par[5]*sum; } inline static Double_t fPoissonKto5(Double_t *x, Double_t *par) { Double_t lambda = par[0]; Double_t sum = 0.; Double_t arg = 0.; Double_t mu0 = par[1]; Double_t mu1 = par[2]; if (mu1 < mu0) return fNoWay; Double_t sigma0 = par[3]; Double_t sigma1 = par[4]; if (sigma1 < sigma0) return fNoWay; Double_t mu2 = (2.*mu1)-mu0; Double_t mu3 = (3.*mu1)-(2.*mu0); Double_t mu4 = (4.*mu1)-(3.*mu0); Double_t mu5 = (5.*mu1)-(4.*mu0); Double_t sigma2 = TMath::Sqrt((2.*sigma1*sigma1) - (sigma0*sigma0)); Double_t sigma3 = TMath::Sqrt((3.*sigma1*sigma1) - (2.*sigma0*sigma0)); Double_t sigma4 = TMath::Sqrt((4.*sigma1*sigma1) - (3.*sigma0*sigma0)); Double_t sigma5 = TMath::Sqrt((5.*sigma1*sigma1) - (4.*sigma0*sigma0)); Double_t lambda2 = lambda*lambda; Double_t lambda3 = lambda2*lambda; Double_t lambda4 = lambda3*lambda; Double_t lambda5 = lambda4*lambda; // k=0: arg = (x[0] - mu0)/sigma0; sum = TMath::Exp(-0.5*arg*arg)/sigma0; // k=1: arg = (x[0] - mu1)/sigma1; sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1; // k=2: arg = (x[0] - mu2)/sigma2; sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2; // k=3: arg = (x[0] - mu3)/sigma3; sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3; // k=4: arg = (x[0] - mu4)/sigma4; sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4; // k=5: arg = (x[0] - mu5)/sigma5; sum += 0.008333333333333*lambda5*TMath::Exp(-0.5*arg*arg)/sigma5; return TMath::Exp(-1.*lambda)*par[5]*sum; } inline static Double_t fPoissonKto6(Double_t *x, Double_t *par) { Double_t lambda = par[0]; Double_t sum = 0.; Double_t arg = 0.; Double_t mu0 = par[1]; Double_t mu1 = par[2]; if (mu1 < mu0) return fNoWay; Double_t sigma0 = par[3]; Double_t sigma1 = par[4]; if (sigma1 < sigma0) return fNoWay; Double_t mu2 = (2.*mu1)-mu0; Double_t mu3 = (3.*mu1)-(2.*mu0); Double_t mu4 = (4.*mu1)-(3.*mu0); Double_t mu5 = (5.*mu1)-(4.*mu0); Double_t mu6 = (6.*mu1)-(5.*mu0); Double_t sigma2 = TMath::Sqrt((2.*sigma1*sigma1) - (sigma0*sigma0)); Double_t sigma3 = TMath::Sqrt((3.*sigma1*sigma1) - (2.*sigma0*sigma0)); Double_t sigma4 = TMath::Sqrt((4.*sigma1*sigma1) - (3.*sigma0*sigma0)); Double_t sigma5 = TMath::Sqrt((5.*sigma1*sigma1) - (4.*sigma0*sigma0)); Double_t sigma6 = TMath::Sqrt((6.*sigma1*sigma1) - (5.*sigma0*sigma0)); Double_t lambda2 = lambda*lambda; Double_t lambda3 = lambda2*lambda; Double_t lambda4 = lambda3*lambda; Double_t lambda5 = lambda4*lambda; Double_t lambda6 = lambda5*lambda; // k=0: arg = (x[0] - mu0)/sigma0; sum = TMath::Exp(-0.5*arg*arg)/sigma0; // k=1: arg = (x[0] - mu1)/sigma1; sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1; // k=2: arg = (x[0] - mu2)/sigma2; sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2; // k=3: arg = (x[0] - mu3)/sigma3; sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3; // k=4: arg = (x[0] - mu4)/sigma4; sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4; // k=5: arg = (x[0] - mu5)/sigma5; sum += 0.008333333333333*lambda5*TMath::Exp(-0.5*arg*arg)/sigma5; // k=6: arg = (x[0] - mu6)/sigma6; sum += 0.001388888888889*lambda6*TMath::Exp(-0.5*arg*arg)/sigma6; return TMath::Exp(-1.*lambda)*par[5]*sum; } inline static Double_t fPolya(Double_t *x, Double_t *par) { const Double_t QEcat = 0.247; // mean quantum efficiency const Double_t sqrt2 = 1.4142135623731; const Double_t sqrt3 = 1.7320508075689; const Double_t sqrt4 = 2.; const Double_t lambda = par[0]; // mean number of photons const Double_t excessPoisson = par[1]; // non-Poissonic noise contribution const Double_t delta1 = par[2]; // amplification first dynode const Double_t delta2 = par[3]; // amplification subsequent dynodes const Double_t electronicAmpl = par[4]; // electronic amplification and conversion to FADC charges const Double_t pmtAmpl = delta1*delta2*delta2*delta2*delta2*delta2; // total PMT gain const Double_t A = 1. + excessPoisson - QEcat + 1./delta1 + 1./delta1/delta2 + 1./delta1/delta2/delta2; // variance contributions from PMT and QE const Double_t totAmpl = QEcat*pmtAmpl*electronicAmpl; // Total gain and conversion const Double_t mu0 = par[7]; // pedestal const Double_t mu1 = totAmpl; // single phe position const Double_t mu2 = 2*totAmpl; // double phe position const Double_t mu3 = 3*totAmpl; // triple phe position const Double_t mu4 = 4*totAmpl; // quadruple phe position const Double_t sigma0 = par[5]; const Double_t sigma1 = electronicAmpl*pmtAmpl*TMath::Sqrt(QEcat*A); const Double_t sigma2 = sqrt2*sigma1; const Double_t sigma3 = sqrt3*sigma1; const Double_t sigma4 = sqrt4*sigma1; const Double_t lambda2 = lambda*lambda; const Double_t lambda3 = lambda2*lambda; const Double_t lambda4 = lambda3*lambda; //-- calculate the area---- Double_t arg = (x[0] - mu0)/sigma0; Double_t sum = TMath::Exp(-0.5*arg*arg)/sigma0; // k=1: arg = (x[0] - mu1)/sigma1; sum += lambda*TMath::Exp(-0.5*arg*arg)/sigma1; // k=2: arg = (x[0] - mu2)/sigma2; sum += 0.5*lambda2*TMath::Exp(-0.5*arg*arg)/sigma2; // k=3: arg = (x[0] - mu3)/sigma3; sum += 0.1666666667*lambda3*TMath::Exp(-0.5*arg*arg)/sigma3; // k=4: arg = (x[0] - mu4)/sigma4; sum += 0.041666666666667*lambda4*TMath::Exp(-0.5*arg*arg)/sigma4; return TMath::Exp(-1.*lambda)*par[6]*sum; } ClassDef(MHCalibrationBlindPixel, 1) // Histograms from the Calibration Blind Pixel }; #endif /* MARS_MHCalibrationBlindPixel */