/* ======================================================================== *\ ! ! * ! * This file is part of MARS, the MAGIC Analysis and Reconstruction ! * Software. It is distributed to you in the hope that it can be a useful ! * and timesaving tool in analysing Data of imaging Cerenkov telescopes. ! * It is distributed WITHOUT ANY WARRANTY. ! * ! * Permission to use, copy, modify and distribute this software and its ! * documentation for any purpose is hereby granted without fee, ! * provided that the above copyright notice appear in all copies and ! * that both that copyright notice and this permission notice appear ! * in supporting documentation. It is provided "as is" without express ! * or implied warranty. ! * ! ! ! Author(s): Markus Gaug 02/2004 ! ! Copyright: MAGIC Software Development, 2000-2004 ! ! \* ======================================================================== */ ////////////////////////////////////////////////////////////////////////////// // // MHGausEvents // // A base class for events which are believed to follow a Gaussian distribution // with time, e.g. calibration events, observables containing white noise, ... // // MHGausEvents derives from MH, thus all features of MH can be used by a class // deriving from MHGausEvents, especially the filling functions. // // The central objects are: // // 1) The TH1F fHGausHist: // ==================== // // It is created with a default name and title and resides in directory NULL. // - Any class deriving from MHGausEvents needs to apply a binning to fHGausHist // (e.g. by setting the variables fNbins, fFirst, fLast and calling the function // InitBins() or by directly calling fHGausHist.SetBins(..) ) // - The histogram is filled with the functions FillHist() or FillHistAndArray(). // - The histogram can be fitted with the function FitGaus(). This involves stripping // of all zeros at the lower and upper end of the histogram and re-binning to // a new number of bins, specified in the variable fBinsAfterStripping. // - The fit result's probability is compared to a reference probability fProbLimit // The NDF is compared to fNDFLimit and a check is made whether results are NaNs. // Accordingly, a flag IsGausFitOK() is set. // - One can repeat the fit within a given amount of sigmas from the previous mean // (specified by the variables fPickupLimit and fBlackoutLimit) with the function RepeatFit() // - One can completely skip the fitting to set mean, sigma and its errors directly // from the histograms with the function BypassFit() // // 2) The TArrayF fEvents: // ========================== // // It is created with 0 entries and not expanded unless FillArray() or FillHistAndArray() // are called. // - A first call to FillArray() or FillHistAndArray() initializes fEvents by default // to 512 entries. // - Any later call to FillArray() or FillHistAndArray() fills up the array. // Reaching the limit, the array is expanded by a factor 2. // - The array can be fourier-transformed into the array fPowerSpectrum. // Note that any FFT accepts only number of events which are a power of 2. // Thus, fEvents is cut to the next power of 2 smaller than its actual number of entries. // Be aware that you might lose information at the end of your analysis. // - Calling the function CreateFourierSpectrum() creates the array fPowerSpectrum // and its projection fHPowerProbability which in turn is fit to an exponential. // - The fit result's probability is compared to a referenc probability fProbLimit // and accordingly the flag IsExpFitOK() is set. // - The flag IsFourierSpectrumOK() is set accordingly to IsExpFitOK(). // Later, a closer check will be installed. // - You can display all arrays by calls to: CreateGraphEvents() and // CreateGraphPowerSpectrum() and successive calls to the corresponding Getters. // // To see an example, have a look at: Draw() // ////////////////////////////////////////////////////////////////////////////// #include "MHGausEvents.h" #include #include #include #include #include #include #include #include "MFFT.h" #include "MArray.h" #include "MH.h" #include "MLog.h" #include "MLogManip.h" ClassImp(MHGausEvents); using namespace std; const Int_t MHGausEvents::fgBinsAfterStripping = 40; const Float_t MHGausEvents::fgBlackoutLimit = 5.; const Int_t MHGausEvents::fgNDFLimit = 2; const Float_t MHGausEvents::fgPickupLimit = 5.; const Float_t MHGausEvents::fgProbLimit = 0.001; const Int_t MHGausEvents::fgPowerProbabilityBins = 20; // -------------------------------------------------------------------------- // // Default Constructor. // Sets: // - the default Probability Bins for fPowerProbabilityBins (fgPowerProbabilityBins) // - the default Probability Limit for fProbLimit (fgProbLimit) // - the default NDF Limit for fNDFLimit (fgNDFLimit) // - the default number for fPickupLimit (fgPickupLimit) // - the default number for fBlackoutLimit (fgBlackoutLimit) // - the default number of bins after stripping for fBinsAfterStipping (fgBinsAfterStipping) // - the default name of the fHGausHist ("HGausHist") // - the default title of the fHGausHist ("Histogram of Events with Gaussian Distribution") // - the default directory of the fHGausHist (NULL) // - the default for fNbins (100) // - the default for fFirst (0.) // - the default for fLast (100.) // // Initializes: // - fEvents to 0 entries // - fHGausHist() // - all other pointers to NULL // - all variables to 0. // - all flags to kFALSE // MHGausEvents::MHGausEvents(const char *name, const char *title) : fEventFrequency(0), fHPowerProbability(NULL), fPowerSpectrum(NULL), fGraphEvents(NULL), fGraphPowerSpectrum(NULL), fEvents(0), fFGausFit(NULL), fFExpFit(NULL), fFirst(0.), fHGausHist(), fLast(100.), fNbins(100), fPixId(-1) { fName = name ? name : "MHGausEvents"; fTitle = title ? title : "Events with expected Gaussian distributions"; Clear(); SetBinsAfterStripping(); SetBlackoutLimit(); SetNDFLimit(); SetPickupLimit(); SetPowerProbabilityBins(); SetProbLimit(); fHGausHist.SetName("HGausHist"); fHGausHist.SetTitle("Histogram of Events with Gaussian Distribution"); // important, other ROOT will not draw the axes: fHGausHist.UseCurrentStyle(); fHGausHist.SetDirectory(NULL); } // -------------------------------------------------------------------------- // // Default Destructor. // // Deletes (if Pointer is not NULL): // // - fHPowerProbability // - fFGausFit // - fFExpFit // - fPowerSpectrum // - fGraphEvents // - fGraphPowerSpectrum // MHGausEvents::~MHGausEvents() { // delete histograms if (fHPowerProbability) delete fHPowerProbability; // delete fits if (fFGausFit) delete fFGausFit; if (fFExpFit) delete fFExpFit; // delete arrays if (fPowerSpectrum) delete fPowerSpectrum; // delete graphs if (fGraphEvents) delete fGraphEvents; if (fGraphPowerSpectrum) delete fGraphPowerSpectrum; } // -------------------------------------------------------------------------- // // Default Clear(), can be overloaded. // // Sets: // - all other pointers to NULL // - all variables to 0., except fPixId to -1 and keep fEventFrequency // - all flags to kFALSE // // Deletes (if not NULL): // - all pointers // void MHGausEvents::Clear(Option_t *o) { SetGausFitOK ( kFALSE ); SetExpFitOK ( kFALSE ); SetFourierSpectrumOK( kFALSE ); SetExcluded ( kFALSE ); fMean = 0.; fSigma = 0.; fMeanErr = 0.; fSigmaErr = 0.; fProb = 0.; fCurrentSize = 0; fPixId = -1; if (fHPowerProbability) { delete fHPowerProbability; fHPowerProbability = NULL; } // delete fits if (fFGausFit) { delete fFGausFit; fFGausFit = NULL; } if (fFExpFit) { delete fFExpFit; fFExpFit = NULL; } // delete arrays if (fPowerSpectrum) { delete fPowerSpectrum; fPowerSpectrum = NULL; } // delete graphs if (fGraphEvents) { delete fGraphEvents; fGraphEvents = NULL; } if (fGraphPowerSpectrum) { delete fGraphPowerSpectrum; fGraphPowerSpectrum = NULL; } } // ----------------------------------------------------------------------------- // // Bypasses the Gauss fit by taking mean and RMS from the histogram // // Errors are determined in the following way: // MeanErr = RMS / Sqrt(entries) // SigmaErr = RMS / (2.*Sqrt(entries) ) // void MHGausEvents::BypassFit() { const Stat_t entries = fHGausHist.GetEntries(); if (entries <= 0.) { *fLog << warn << GetDescriptor() << ": Cannot bypass fit. Number of entries smaller or equal 0 in pixel: " << fPixId << endl; return; } fMean = fHGausHist.GetMean(); fMeanErr = fHGausHist.GetRMS() / TMath::Sqrt(entries); fSigma = fHGausHist.GetRMS() ; fSigmaErr = fHGausHist.GetRMS() / TMath::Sqrt(entries) / 2.; } // -------------------------------------------------------------------------- // // - Set fPixId to id // // Add id to names and titles of: // - fHGausHist // void MHGausEvents::ChangeHistId(const Int_t id) { fPixId = id; fHGausHist.SetName( Form("%s%d", fHGausHist.GetName(), id)); fHGausHist.SetTitle( Form("%s%d", fHGausHist.GetTitle(), id)); fName = Form("%s%d", fName.Data(), id); fTitle = Form("%s%d", fTitle.Data(), id); } // ----------------------------------------------------------------------------- // // Create the x-axis for the event graph // Float_t *MHGausEvents::CreateEventXaxis(Int_t n) { Float_t *xaxis = new Float_t[n]; if (fEventFrequency) for (Int_t i=0;iSetXTitle("P(f)"); fHPowerProbability->SetDirectory(NULL); // // First guesses for the fit (should be as close to reality as possible, // const Double_t xmax = fHPowerProbability->GetXaxis()->GetXmax(); fFExpFit = new TF1("FExpFit","exp([0]-[1]*x)",0.,xmax); const Double_t slope_guess = (TMath::Log(fHPowerProbability->GetEntries())+1.)/xmax; const Double_t offset_guess = slope_guess*xmax; fFExpFit->SetParameters(offset_guess, slope_guess); fFExpFit->SetParNames("Offset","Slope"); fFExpFit->SetParLimits(0,offset_guess/2.,2.*offset_guess); fFExpFit->SetParLimits(1,slope_guess/1.5,1.5*slope_guess); fFExpFit->SetRange(0.,xmax); fHPowerProbability->Fit(fFExpFit,"RQL0"); if (GetExpProb() > fProbLimit) SetExpFitOK(kTRUE); // // For the moment, this is the only check, later we can add more... // SetFourierSpectrumOK(IsExpFitOK()); return; } // ---------------------------------------------------------------------------------- // // Create a graph to display the array fEvents // If the variable fEventFrequency is set, the x-axis is transformed into real time. // void MHGausEvents::CreateGraphEvents() { MArray::StripZeros(fEvents); const Int_t n = fEvents.GetSize(); fGraphEvents = new TGraph(n,CreateEventXaxis(n),fEvents.GetArray()); fGraphEvents->SetTitle("Evolution of Events with time"); fGraphEvents->GetXaxis()->SetTitle((fEventFrequency) ? "Time [s]" : "Event Nr."); } // ---------------------------------------------------------------------------------- // // Create a graph to display the array fPowerSpectrum // If the variable fEventFrequency is set, the x-axis is transformed into real frequency. // void MHGausEvents::CreateGraphPowerSpectrum() { MArray::StripZeros(*fPowerSpectrum); const Int_t n = fPowerSpectrum->GetSize(); fGraphPowerSpectrum = new TGraph(n,CreatePSDXaxis(n),fPowerSpectrum->GetArray()); fGraphPowerSpectrum->SetTitle("Power Spectrum Density"); fGraphPowerSpectrum->GetXaxis()->SetTitle((fEventFrequency) ? "Frequency [Hz]" : "Frequency"); fGraphPowerSpectrum->GetYaxis()->SetTitle("P(f)"); } // ----------------------------------------------------------------------------- // // Create the x-axis for the event graph // Float_t *MHGausEvents::CreatePSDXaxis(Int_t n) { Float_t *xaxis = new Float_t[n]; if (fEventFrequency) for (Int_t i=0;i */ //End_Html // void MHGausEvents::Draw(const Option_t *opt) { TVirtualPad *pad = gPad ? gPad : MH::MakeDefCanvas(this,600, 900); TString option(opt); option.ToLower(); Int_t win = 1; if (option.Contains("events")) { option.ReplaceAll("events",""); win += 1; } if (option.Contains("fourier")) { option.ReplaceAll("fourier",""); win += 2; } pad->SetTicks(); pad->SetBorderMode(0); pad->Divide(1,win); pad->cd(1); if (!IsEmpty()) gPad->SetLogy(); fHGausHist.Draw(opt); if (fFGausFit) { fFGausFit->SetLineColor(IsGausFitOK() ? kGreen : kRed); fFGausFit->Draw("same"); } switch (win) { case 2: pad->cd(2); DrawEvents(); break; case 3: pad->cd(2); DrawPowerSpectrum(*pad,3); break; case 4: pad->cd(2); DrawEvents(); pad->cd(3); DrawPowerSpectrum(*pad,4); break; } } void MHGausEvents::DrawEvents() { if (!fGraphEvents) CreateGraphEvents(); fGraphEvents->SetBit(kCanDelete); fGraphEvents->SetTitle("Events with time"); fGraphEvents->Draw("AL"); } void MHGausEvents::DrawPowerSpectrum(TVirtualPad &pad, Int_t i) { if (fPowerSpectrum) { if (!fGraphPowerSpectrum) CreateGraphPowerSpectrum(); fGraphPowerSpectrum->Draw("AL"); fGraphPowerSpectrum->SetBit(kCanDelete); } pad.cd(i); if (fHPowerProbability && fHPowerProbability->GetEntries() > 0) { gPad->SetLogy(); fHPowerProbability->Draw(); if (fFExpFit) { fFExpFit->SetLineColor(IsExpFitOK() ? kGreen : kRed); fFExpFit->Draw("same"); } } } // -------------------------------------------------------------------------- // // Fill fEvents with f // If size of fEvents is 0, initializes it to 512 // If size of fEvents is smaller than fCurrentSize, double the size // Increase fCurrentSize by 1 // void MHGausEvents::FillArray(const Float_t f) { if (fEvents.GetSize() == 0) fEvents.Set(512); if (fCurrentSize >= fEvents.GetSize()) fEvents.Set(fEvents.GetSize()*2); fEvents.AddAt(f,fCurrentSize++); } // -------------------------------------------------------------------------- // // Fills fHGausHist with f // Returns kFALSE, if overflow or underflow occurred, else kTRUE // Bool_t MHGausEvents::FillHist(const Float_t f) { return fHGausHist.Fill(f) > -1; } // -------------------------------------------------------------------------- // // Executes: // - FillArray() // - FillHist() // Bool_t MHGausEvents::FillHistAndArray(const Float_t f) { FillArray(f); return FillHist(f); } // ------------------------------------------------------------------- // // Fit fGausHist with a Gaussian after stripping zeros from both ends // and rebinned to the number of bins specified in fBinsAfterStripping // // The fit results are retrieved and stored in class-own variables. // // A flag IsGausFitOK() is set according to whether the fit probability // is smaller or bigger than fProbLimit, whether the NDF is bigger than // fNDFLimit and whether results are NaNs. // Bool_t MHGausEvents::FitGaus(Option_t *option, const Double_t xmin, const Double_t xmax) { if (IsGausFitOK()) return kTRUE; // // First, strip the zeros from the edges which contain only zeros and rebin // to about fBinsAfterStripping bins. // // (ATTENTION: The Chisquare method is more sensitive, // the _less_ bins, you have!) // StripZeros(&fHGausHist,fBinsAfterStripping); // // Get the fitting ranges // Axis_t rmin = (xmin==0.) && (xmax==0.) ? fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetFirst()) : xmin; Axis_t rmax = (xmin==0.) && (xmax==0.) ? fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetLast()) : xmax; // // First guesses for the fit (should be as close to reality as possible, // const Stat_t entries = fHGausHist.Integral("width"); const Double_t mu_guess = fHGausHist.GetBinCenter(fHGausHist.GetMaximumBin()); const Double_t sigma_guess = fHGausHist.GetRMS(); const Double_t area_guess = entries/TMath::Sqrt(TMath::TwoPi())/sigma_guess; fFGausFit = new TF1("GausFit","gaus",rmin,rmax); if (!fFGausFit) { *fLog << warn << dbginf << "WARNING: Could not create fit function for Gauss fit " << "in pixel: " << fPixId << endl; return kFALSE; } fFGausFit->SetParameters(area_guess,mu_guess,sigma_guess); fFGausFit->SetParNames("Area","#mu","#sigma"); fFGausFit->SetParLimits(0,0.,area_guess*1.5); fFGausFit->SetParLimits(1,rmin,rmax); fFGausFit->SetParLimits(2,0.,rmax-rmin); fFGausFit->SetRange(rmin,rmax); fHGausHist.Fit(fFGausFit,option); fMean = fFGausFit->GetParameter(1); fSigma = fFGausFit->GetParameter(2); fMeanErr = fFGausFit->GetParError(1); fSigmaErr = fFGausFit->GetParError(2); fProb = fFGausFit->GetProb(); // // The fit result is accepted under condition: // 1) The results are not nan's // 2) The NDF is not smaller than fNDFLimit (default: fgNDFLimit) // 3) The Probability is greater than fProbLimit (default: fgProbLimit) // if ( TMath::IsNaN(fMean) || TMath::IsNaN(fMeanErr) || TMath::IsNaN(fProb) || TMath::IsNaN(fSigma) || TMath::IsNaN(fSigmaErr) || fFGausFit->GetNDF() < fNDFLimit || fProb < fProbLimit ) return kFALSE; SetGausFitOK(kTRUE); return kTRUE; } // ------------------------------------------------------------------------------- // // Return the number of "blackout" events, which are events with values higher // than fBlackoutLimit sigmas from the mean // // const Double_t MHGausEvents::GetBlackout() const { if ((fMean == 0.) && (fSigma == 0.)) return -1.; const Int_t first = fHGausHist.GetXaxis()->GetFirst(); const Int_t last = fHGausHist.GetXaxis()->FindBin(fMean-fBlackoutLimit*fSigma); if (first >= last) return 0.; return fHGausHist.Integral(first, last, "width"); } const Double_t MHGausEvents::GetChiSquare() const { return ( fFGausFit ? fFGausFit->GetChisquare() : 0.); } const Double_t MHGausEvents::GetExpChiSquare() const { return ( fFExpFit ? fFExpFit->GetChisquare() : 0.); } const Int_t MHGausEvents::GetExpNdf() const { return ( fFExpFit ? fFExpFit->GetNDF() : 0); } const Double_t MHGausEvents::GetExpProb() const { return ( fFExpFit ? fFExpFit->GetProb() : 0.); } const Int_t MHGausEvents::GetNdf() const { return ( fFGausFit ? fFGausFit->GetNDF() : 0); } const Double_t MHGausEvents::GetOffset() const { return ( fFExpFit ? fFExpFit->GetParameter(0) : 0.); } // ------------------------------------------------------------------------------- // // Return the number of "pickup" events, which are events with values higher // than fPickupLimit sigmas from the mean // // const Double_t MHGausEvents::GetPickup() const { if ((fMean == 0.) && (fSigma == 0.)) return -1.; const Int_t first = fHGausHist.GetXaxis()->FindBin(fMean+fPickupLimit*fSigma); const Int_t last = fHGausHist.GetXaxis()->GetLast(); if (first >= last) return 0.; return fHGausHist.Integral(first, last, "width"); } const Double_t MHGausEvents::GetSlope() const { return ( fFExpFit ? fFExpFit->GetParameter(1) : 0.); } // -------------------------------------------------------------------------- // // Default InitBins, can be overloaded. // // Executes: // - fHGausHist.SetBins(fNbins,fFirst,fLast) // void MHGausEvents::InitBins() { fHGausHist.SetBins(fNbins,fFirst,fLast); } const Bool_t MHGausEvents::IsEmpty() const { return !(fHGausHist.GetEntries()); } const Bool_t MHGausEvents::IsExcluded() const { return TESTBIT(fFlags,kExcluded); } const Bool_t MHGausEvents::IsExpFitOK() const { return TESTBIT(fFlags,kExpFitOK); } const Bool_t MHGausEvents::IsFourierSpectrumOK() const { return TESTBIT(fFlags,kFourierSpectrumOK); } const Bool_t MHGausEvents::IsGausFitOK() const { return TESTBIT(fFlags,kGausFitOK); } // ----------------------------------------------------------------------------------- // // A default print // void MHGausEvents::Print(const Option_t *o) const { *fLog << all << endl; *fLog << all << "Results of the Gauss Fit in pixel: " << fPixId << endl; *fLog << all << "Mean: " << GetMean() << endl; *fLog << all << "Sigma: " << GetSigma() << endl; *fLog << all << "Chisquare: " << GetChiSquare() << endl; *fLog << all << "DoF: " << GetNdf() << endl; *fLog << all << "Probability: " << GetProb() << endl; *fLog << all << endl; } // -------------------------------------------------------------------------- // // Re-normalize the results, has to be overloaded // void MHGausEvents::Renorm() { } // ----------------------------------------------------------------------------- // // If flag IsGausFitOK() is set (histogram already successfully fitted), // returns kTRUE // // If both fMean and fSigma are still zero, call FitGaus() // // Repeats the Gauss fit in a smaller range, defined by: // // min = GetMean() - fBlackoutLimit * GetSigma(); // max = GetMean() + fPickupLimit * GetSigma(); // // The fit results are retrieved and stored in class-own variables. // // A flag IsGausFitOK() is set according to whether the fit probability // is smaller or bigger than fProbLimit, whether the NDF is bigger than // fNDFLimit and whether results are NaNs. // Bool_t MHGausEvents::RepeatFit(const Option_t *option) { if (IsGausFitOK()) return kTRUE; if ((fMean == 0.) && (fSigma == 0.)) return FitGaus(); // // Get new fitting ranges // Axis_t rmin = fMean - fBlackoutLimit * fSigma; Axis_t rmax = fMean + fPickupLimit * fSigma; Axis_t hmin = fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetFirst()); Axis_t hmax = fHGausHist.GetBinCenter(fHGausHist.GetXaxis()->GetLast()) ; fFGausFit->SetRange(hmin < rmin ? rmin : hmin , hmax > rmax ? rmax : hmax); fHGausHist.Fit(fFGausFit,option); fMean = fFGausFit->GetParameter(1); fMeanErr = fFGausFit->GetParameter(2); fSigma = fFGausFit->GetParError(1) ; fSigmaErr = fFGausFit->GetParError(2) ; fProb = fFGausFit->GetProb() ; // // The fit result is accepted under condition: // 1) The results are not nan's // 2) The NDF is not smaller than fNDFLimit (default: fgNDFLimit) // 3) The Probability is greater than fProbLimit (default: fgProbLimit) // if ( TMath::IsNaN ( fMean ) || TMath::IsNaN ( fMeanErr ) || TMath::IsNaN ( fProb ) || TMath::IsNaN ( fSigma ) || TMath::IsNaN ( fSigmaErr ) || fFGausFit->GetNDF() < fNDFLimit || fProb < fProbLimit ) return kFALSE; SetGausFitOK(kTRUE); return kTRUE; } // -------------------------------------------------------------------------- // // Default Reset(), can be overloaded. // // Executes: // - Clear() // - fHGausHist.Reset() // - fEvents.Set(0) // void MHGausEvents::Reset() { Clear(); fHGausHist.Reset(); fEvents.Set(0); } // -------------------------------------------------------------------------- // // Set Excluded bit from outside // void MHGausEvents::SetExcluded(const Bool_t b) { b ? SETBIT(fFlags,kExcluded) : CLRBIT(fFlags,kExcluded); } // ------------------------------------------------------------------- // // The flag setters are to be used ONLY for Monte-Carlo!! // void MHGausEvents::SetExpFitOK(const Bool_t b) { b ? SETBIT(fFlags,kExpFitOK) : CLRBIT(fFlags,kExpFitOK); } // ------------------------------------------------------------------- // // The flag setters are to be used ONLY for Monte-Carlo!! // void MHGausEvents::SetFourierSpectrumOK(const Bool_t b) { b ? SETBIT(fFlags,kFourierSpectrumOK) : CLRBIT(fFlags,kFourierSpectrumOK); } // ------------------------------------------------------------------- // // The flag setters are to be used ONLY for Monte-Carlo!! // void MHGausEvents::SetGausFitOK(const Bool_t b) { b ? SETBIT(fFlags,kGausFitOK) : CLRBIT(fFlags,kGausFitOK); }