/* ======================================================================== *\ ! ! * ! * 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): Thomas Bretz, 8/2002 ! Author(s): Wolfgang Wittek, 1/2002 ! ! Copyright: MAGIC Software Development, 2000-2004 ! ! \* ======================================================================== */ ////////////////////////////////////////////////////////////////////////////// // // MHEffectiveOnTime // // Filling this you will get the effective on-time versus theta and // observation time. // // From this histogram the effective on-time is determined by a fit. // The result of the fit (see Fit()) and the fit-parameters (like chi^2) // are stored in corresponding histograms // // To determin the efective on time a poisson fit is done. For more details // please have a look into the source code of FitH() it should be simple // to understand. In this function a Delta-T distribution is fitted, while // Delta-T is the time between two consecutive events. // // The fit is done for projections of a 2D histogram in Theta and Delta T. // So you get the effective on time versus theta. // // To get the effective on-time versus time a histogram is filled with // the Delta-T distribution of a number of events set by SetNumEvents(). // The default is 12000 (roughly 1min at 200Hz) // // For each "time-bin" the histogram is fitted and the resulting effective // on-time is stored in the fHTimeEffOn histogram. Each entry in this // histogram is the effective observation time between the upper and // lower edges of the bins. // // In addition the calculated effective on time is stored in a // "MEffectiveOnTime [MParameterDerr]" and the corresponding time-stamp // (the upper edge of the bin) "MTimeEffectiveOnTime [MTime]" // // The class takes two binnings from the Parameter list; if these binnings // are not available the defaultbinning is used: // MBinning("BinningDeltaT"); // Units of seconds // MBinning("BinningTheta"); // Units of degrees // // // Usage: // ------ // MFillH fill("MHEffectiveOnTime", "MTime"); // tlist.AddToList(&fill); // // // Input Container: // MPointingPos // // Output Container: // MEffectiveOnTime [MParameterDerr] // MTimeEffectiveOnTime [MTime] // ////////////////////////////////////////////////////////////////////////////// #include "MHEffectiveOnTime.h" #include #include #include #include #include #include #include #include "MTime.h" #include "MParameters.h" #include "MPointingPos.h" #include "MBinning.h" #include "MParList.h" #include "MLog.h" #include "MLogManip.h" ClassImp(MHEffectiveOnTime); using namespace std; // -------------------------------------------------------------------------- // // Default Constructor. It initializes all histograms. // MHEffectiveOnTime::MHEffectiveOnTime(const char *name, const char *title) : fPointPos(0), fTime(0), fParam(0), fIsFinalized(kFALSE), fNumEvents(200*60), fNameProjDeltaT(Form("DeltaT_%p", this)), fNameProjTheta(Form("Theta_%p", this)) { // // set the name and title of this object // fName = name ? name : "MHEffectiveOnTime"; fTitle = title ? title : "Histogram to determin effective On-Time vs Time and Zenith Angle"; // Main histogram fH2DeltaT.SetName("DeltaT"); fH2DeltaT.SetXTitle("\\Delta t [s]"); fH2DeltaT.SetYTitle("\\Theta [\\circ]"); fH2DeltaT.SetZTitle("Count"); fH2DeltaT.UseCurrentStyle(); fH2DeltaT.SetDirectory(NULL); // Main histogram fH1DeltaT.SetName("DeltaT"); fH1DeltaT.SetXTitle("\\Delta t [s]"); fH1DeltaT.SetYTitle("Counts"); fH1DeltaT.UseCurrentStyle(); fH1DeltaT.SetDirectory(NULL); // effective on time versus theta fHThetaEffOn.SetName("EffOnTheta"); fHThetaEffOn.SetTitle("Effective On Time T_{eff}"); fHThetaEffOn.SetXTitle("\\Theta [\\circ]"); fHThetaEffOn.SetYTitle("T_{eff} [s]"); fHThetaEffOn.UseCurrentStyle(); fHThetaEffOn.SetDirectory(NULL); fHThetaEffOn.GetYaxis()->SetTitleOffset(1.2); fHThetaEffOn.GetYaxis()->SetTitleColor(kBlue); fHThetaEffOn.SetLineColor(kBlue); //fHEffOn.Sumw2(); // effective on time versus time fHTimeEffOn.SetName("EffOnTime"); fHTimeEffOn.SetTitle("Effective On Time T_{eff}"); fHTimeEffOn.SetXTitle("Time"); fHTimeEffOn.SetYTitle("T_{eff} [s]"); fHTimeEffOn.UseCurrentStyle(); fHTimeEffOn.SetDirectory(NULL); fHTimeEffOn.GetYaxis()->SetTitleOffset(1.2); fHTimeEffOn.GetXaxis()->SetLabelSize(0.033); fHTimeEffOn.GetXaxis()->SetTimeFormat("%H:%M:%S %F1995-01-01 00:00:00 GMT"); fHTimeEffOn.GetXaxis()->SetTimeDisplay(1); fHTimeEffOn.GetYaxis()->SetTitleColor(kBlue); fHTimeEffOn.SetLineColor(kBlue); // chi2 probability fHThetaProb.SetName("ProbTheta"); fHThetaProb.SetTitle("\\chi^{2} Probability of Fit"); fHThetaProb.SetXTitle("\\Theta [\\circ]"); fHThetaProb.SetYTitle("p [%]"); fHThetaProb.UseCurrentStyle(); fHThetaProb.SetDirectory(NULL); fHThetaProb.GetYaxis()->SetTitleOffset(1.2); fHThetaProb.SetMaximum(101); fHThetaProb.GetYaxis()->SetTitleColor(kBlue); fHThetaProb.SetLineColor(kBlue); // chi2 probability fHTimeProb.SetName("ProbTime"); fHTimeProb.SetTitle("\\chi^{2} Probability of Fit"); fHTimeProb.SetXTitle("Time"); fHTimeProb.SetYTitle("p [%]"); fHTimeProb.UseCurrentStyle(); fHTimeProb.SetDirectory(NULL); fHTimeProb.GetYaxis()->SetTitleOffset(1.2); fHTimeProb.GetXaxis()->SetLabelSize(0.033); fHTimeProb.GetXaxis()->SetTimeFormat("%H:%M:%S %F1995-01-01 00:00:00 GMT"); fHTimeProb.GetXaxis()->SetTimeDisplay(1); fHTimeProb.SetMaximum(101); fHTimeProb.GetYaxis()->SetTitleColor(kBlue); fHTimeProb.SetLineColor(kBlue); // lambda versus theta fHThetaLambda.SetName("LambdaTheta"); fHThetaLambda.SetTitle("Slope (Rate) vs Theta"); fHThetaLambda.SetXTitle("\\Theta [\\circ]"); fHThetaLambda.SetYTitle("\\lambda [s^{-1}]"); fHThetaLambda.UseCurrentStyle(); fHThetaLambda.SetDirectory(NULL); fHThetaLambda.SetLineColor(kGreen); // lambda versus time fHTimeLambda.SetName("LambdaTime"); fHTimeLambda.SetTitle("Slope (Rate) vs Time"); fHTimeLambda.SetXTitle("\\Time [\\circ]"); fHTimeLambda.SetYTitle("\\lambda [s^{-1}]"); fHTimeLambda.UseCurrentStyle(); fHTimeLambda.SetDirectory(NULL); fHTimeLambda.GetYaxis()->SetTitleOffset(1.2); fHTimeLambda.GetXaxis()->SetLabelSize(0.033); fHTimeLambda.GetXaxis()->SetTimeFormat("%H:%M:%S %F1995-01-01 00:00:00 GMT"); fHTimeLambda.GetXaxis()->SetTimeDisplay(1); fHTimeLambda.SetLineColor(kGreen); // NDoF versus theta fHThetaNDF.SetName("NDofTheta"); fHThetaNDF.SetTitle("Number of Degrees of freedom vs Theta"); fHThetaNDF.SetXTitle("\\Theta [\\circ]"); fHThetaNDF.SetYTitle("NDoF [#]"); fHThetaNDF.UseCurrentStyle(); fHThetaNDF.SetDirectory(NULL); fHThetaNDF.SetLineColor(kGreen); // NDoF versus time /* fHTimeNDF.SetName("NDofTime"); fHTimeNDF.SetTitle("Number of Degrees of freedom vs Time"); fHTimeNDF.SetXTitle("Time"); fHTimeNDF.SetYTitle("NDoF [#]"); fHTimeNDF.UseCurrentStyle(); fHTimeNDF.SetDirectory(NULL); fHTimeNDF.GetYaxis()->SetTitleOffset(1.2); fHTimeNDF.GetXaxis()->SetLabelSize(0.033); fHTimeNDF.GetXaxis()->SetTimeFormat("%H:%M:%S %F1995-01-01 00:00:00 GMT"); fHTimeNDF.GetXaxis()->SetTimeDisplay(1); fHTimeNDF.SetLineColor(kBlue); */ // setup binning MBinning btheta("BinningTheta"); btheta.SetEdgesCos(100, 0, 60); MBinning btime("BinningDeltaT"); btime.SetEdges(50, 0, 0.1); MH::SetBinning(&fH2DeltaT, &btime, &btheta); btime.Apply(fH1DeltaT); btheta.Apply(fHThetaEffOn); btheta.Apply(fHThetaLambda); btheta.Apply(fHThetaNDF); btheta.Apply(fHThetaProb); //btheta.Apply(fHChi2); } // -------------------------------------------------------------------------- // // Set the binnings and prepare the filling of the histogram // Bool_t MHEffectiveOnTime::SetupFill(const MParList *plist) { fPointPos = (MPointingPos*)plist->FindObject("MPointingPos"); if (!fPointPos) { *fLog << err << dbginf << "MPointingPos not found... aborting." << endl; return kFALSE; } // FIXME: Remove const-qualifier from base-class! fTime = (MTime*)const_cast(plist)->FindCreateObj("MTime", "MTimeEffectiveOnTime"); if (!fTime) return kFALSE; fParam = (MParameterDerr*)const_cast(plist)->FindCreateObj("MParameterDerr", "MEffectiveOnTime"); if (!fParam) return kFALSE; const MBinning* binsdtime = (MBinning*)plist->FindObject("BinningDeltaT"); const MBinning* binstheta = (MBinning*)plist->FindObject("BinningTheta"); if (binsdtime) binsdtime->Apply(fH1DeltaT); if (binstheta) { binstheta->Apply(fHThetaEffOn); binstheta->Apply(fHThetaLambda); binstheta->Apply(fHThetaNDF); binstheta->Apply(fHThetaProb); //binstheta->Apply(fHChi2); } if (binstheta && binsdtime) SetBinning(&fH2DeltaT, binsdtime, binstheta); return kTRUE; } // -------------------------------------------------------------------------- // // Fit a single Delta-T distribution. See source code for more details // Bool_t MHEffectiveOnTime::FitH(TH1D *h, Double_t *res, Bool_t paint) const { const Double_t Nm = h->Integral(); // FIXME: Do fit only if contents of bin has changed if (Nm<=0) return kFALSE; // determine range (yq[0], yq[1]) of time differences // where fit should be performed; // require a fraction >=xq[0] of all entries to lie below yq[0] // and a fraction <=xq[1] of all entries to lie below yq[1]; // within the range (yq[0], yq[1]) there must be no empty bin; // choose pedestrian approach as long as GetQuantiles is not available Double_t xq[2] = { 0.05, 0.95 }; Double_t yq[2]; h->GetQuantiles(2, yq, xq); // Nmdel = Nm * binwidth, with Nm = number of observed events const Double_t Nmdel = h->Integral("width"); // // Setup Poisson function for the fit: // lambda [Hz], N0 = ideal no of evts, del = bin width of dt // // parameter 0 = lambda // parameter 1 = N0*del // TF1 func("Poisson", " [1]*[2] * [0] * exp(-[0] *x)"); //func.SetParNames("lambda", "N0", "del"); func.SetParameter(0, 100); // Hz func.SetParameter(1, Nm); func.FixParameter(2, Nmdel/Nm); // options : N do not store the function, do not draw // I use integral of function in bin rather than value at bin center // R use the range specified in the function range // Q quiet mode h->Fit(&func, "NIQ", "", yq[0], yq[1]); const Double_t chi2 = func.GetChisquare(); const Int_t NDF = func.GetNDF(); // was fit successful ? const Bool_t ok = NDF>0 && chi2<2.5*NDF; if (paint) { func.SetLineWidth(2); func.SetLineColor(ok ? kGreen : kRed); func.Paint("same"); } if (!ok) return kFALSE; const Double_t lambda = func.GetParameter(0); //const Double_t N0 = func.GetParameter(1); const Double_t prob = func.GetProb(); /* *fLog << all << "Nm/lambda=" << Nm/lambda << " chi2/NDF="; *fLog << (NDF ? chi2/NDF : 0.0) << " lambda="; *fLog << lambda << " N0=" << N0 << endl; */ Double_t emat[2][2]; gMinuit->mnemat((Double_t*)emat, 2); const Double_t dldl = emat[0][0]; //const Double_t dN0dN0 = emat[1][1]; const Double_t teff = Nm/lambda; const Double_t dteff = teff * TMath::Sqrt(dldl/(lambda*lambda) + 1.0/Nm); const Double_t dl = TMath::Sqrt(dldl); //const Double_t kappa = Nm/N0; //const Double_t Rdead = 1.0 - kappa; //const Double_t dRdead = kappa * TMath::Sqrt(dN0dN0/(N0*N0) + 1.0/Nm); // the effective on time is Nm/lambda res[0] = teff; res[1] = dteff; // plot chi2-probability of fit res[2] = prob*100; // lambda of fit res[3] = lambda; res[4] = dl; // NDoF of fit res[5] = NDF; // Rdead (from fit) is the fraction from real time lost by the dead time //fHRdead.SetBinContent(i, Rdead); //fHRdead.SetBinError (i,dRdead); return kTRUE; } // -------------------------------------------------------------------------- // // Fit a all bins of the distribution in theta. Store the result in the // Theta-Histograms // void MHEffectiveOnTime::FitThetaBins() { fHThetaEffOn.Reset(); fHThetaProb.Reset(); fHThetaLambda.Reset(); fHThetaNDF.Reset(); const TString name = Form("CalcTheta%d", (UInt_t)gRandom->Uniform(999999999)); // nbins = number of Theta bins const Int_t nbins = fH2DeltaT.GetNbinsY(); TH1D *h=0; for (int i=1; i<=nbins; i++) { // TH1D &h = *hist->ProjectionX("Calc-theta", i, i); h = fH2DeltaT.ProjectionX(name, i, i, "E"); Double_t res[6]; if (!FitH(h, res)) continue; // the effective on time is Nm/lambda fHThetaEffOn.SetBinContent(i, res[0]); fHThetaEffOn.SetBinError (i, res[1]); // plot chi2-probability of fit fHThetaProb.SetBinContent(i, res[2]); // plot chi2/NDF of fit //fHChi2.SetBinContent(i, res[3]); // lambda of fit fHThetaLambda.SetBinContent(i, res[3]); fHThetaLambda.SetBinError (i, res[4]); // NDoF of fit fHThetaNDF.SetBinContent(i, res[5]); // Rdead (from fit) is the fraction from real time lost by the dead time //fHRdead.SetBinContent(i, Rdead); //fHRdead.SetBinError (i,dRdead); } // Histogram is reused via gROOT->FindObject() // Need to be deleted only once if (h) delete h; } // -------------------------------------------------------------------------- // // Fit the single-time-bin histogram. Store the result in the // Time-Histograms // void MHEffectiveOnTime::FitTimeBin() { // // Fit histogram // Double_t res[6]; if (!FitH(&fH1DeltaT, res)) return; // Reset Histogram fH1DeltaT.Reset(); // // Prepare Histogram // // Get number of bins const Int_t n = fHTimeEffOn.GetNbinsX(); // Enhance binning MBinning bins; bins.SetEdges(fHTimeEffOn, 'x'); bins.AddEdge(fLastTime.GetAxisTime()); bins.Apply(fHTimeEffOn); bins.Apply(fHTimeProb); bins.Apply(fHTimeLambda); //bins.Apply(fHTimeNDF); // // Fill histogram // fHTimeEffOn.SetBinContent(n, res[0]); fHTimeEffOn.SetBinError(n, res[1]); fHTimeProb.SetBinContent(n, res[2]); fHTimeLambda.SetBinContent(n, res[3]); fHTimeLambda.SetBinError(n, res[4]); //fHTimeNDF.SetBinContent(n, res[5]); // // Now prepare output // fParam->SetVal(res[0], res[1]); fParam->SetReadyToSave(); *fTime = fLastTime; // Include the current event fTime->Plus1ns(); *fLog << fLastTime << ": Val=" << res[0] << " Err=" << res[1] << endl; } // -------------------------------------------------------------------------- // // Fill the histogram // Bool_t MHEffectiveOnTime::Fill(const MParContainer *par, const Stat_t w) { const MTime *time = dynamic_cast(par); if (!time) { *fLog << err << "ERROR - MHEffectiveOnTime::Fill without argument or container doesn't inherit from MTime... abort." << endl; return kFALSE; } // // If this is the first call we have to initialize the time-histogram // if (fLastTime==MTime()) { MBinning bins; bins.SetEdges(1, time->GetAxisTime()-fNumEvents/200, time->GetAxisTime()); bins.Apply(fHTimeEffOn); bins.Apply(fHTimeProb); bins.Apply(fHTimeLambda); //bins.Apply(fHTimeNDF); fParam->SetVal(0, 0); fParam->SetReadyToSave(); *fTime = *time; // Make this 1ns before the first event! fTime->Minus1ns(); } // // Fill time difference into the histograms // const Double_t dt = *time-fLastTime; fLastTime = *time; fH2DeltaT.Fill(dt, fPointPos->GetZd(), w); fH1DeltaT.Fill(dt, w); // // If we reached the event number limit for the time-bins fit the histogram // if (fH1DeltaT.GetEntries()>=fNumEvents) FitTimeBin(); return kTRUE; } // -------------------------------------------------------------------------- // // Fit the theta projections of the 2D histogram and the 1D Delta-T // distribution // Bool_t MHEffectiveOnTime::Finalize() { FitThetaBins(); FitTimeBin(); MH::RemoveFirstBin(fHTimeEffOn); MH::RemoveFirstBin(fHTimeProb); MH::RemoveFirstBin(fHTimeLambda); //MH::RemoveFirstBin(fHTimeNDF); fIsFinalized = kTRUE; return kTRUE; } // -------------------------------------------------------------------------- // // Paint the integral and the error on top of the histogram // void MHEffectiveOnTime::PaintText(Double_t val, Double_t error) const { TLatex text(0.45, 0.94, Form("T_{eff} = %.1fs \\pm %.1fs", val, error)); text.SetBit(TLatex::kTextNDC); text.SetTextSize(0.04); text.Paint(); } void MHEffectiveOnTime::PaintText(Double_t *res) const { TLatex text(0.25, 0.94, Form("T_{eff}=%.1fs\\pm%.1fs \\labda=%.1f\\pm%.1f p=%.1f%% NDF=%d", res[0], res[1], res[3], res[4], res[2], res[5])); text.SetBit(TLatex::kTextNDC); text.SetTextSize(0.04); text.Paint(); } void MHEffectiveOnTime::PaintProb(TH1 &h) const { Double_t sum = 0; Int_t n = 0; for (int i=0; i0) { sum += h.GetBinContent(i+1); n++; } if (n==0) return; TLatex text(0.45, 0.94, Form("\\bar{p} = %.1f%% (n=%d)", sum/n, n)); text.SetBit(TLatex::kTextNDC); text.SetTextSize(0.04); text.Paint(); } void MHEffectiveOnTime::UpdateRightAxis(TH1 &h) { const Double_t max = h.GetMaximum()*1.1; if (max==0) return; h.SetNormFactor(h.Integral()*gPad->GetUymax()/max); TGaxis *axis = (TGaxis*)gPad->FindObject("RightAxis"); if (!axis) return; axis->SetX1(gPad->GetUxmax()); axis->SetX2(gPad->GetUxmax()); axis->SetY1(gPad->GetUymin()); axis->SetY2(gPad->GetUymax()); axis->SetWmax(max); } // -------------------------------------------------------------------------- // // Prepare painting the histograms // void MHEffectiveOnTime::Paint(Option_t *opt) { TH1D *h=0; TPaveStats *st=0; TString o(opt); if (o==(TString)"fit") { TVirtualPad *pad = gPad; for (int x=0; x<2; x++) for (int y=0; y<3; y++) { TVirtualPad *p=gPad->GetPad(x+1)->GetPad(y+1); if (!(st = (TPaveStats*)p->GetPrimitive("stats"))) continue; if (st->GetOptStat()==11) continue; const Double_t y1 = st->GetY1NDC(); const Double_t y2 = st->GetY2NDC(); const Double_t x1 = st->GetX1NDC(); const Double_t x2 = st->GetX2NDC(); st->SetY1NDC((y2-y1)/3+y1); st->SetX1NDC((x2-x1)/3+x1); st->SetOptStat(11); } pad->GetPad(1)->cd(1); if ((h = (TH1D*)gPad->FindObject(fNameProjDeltaT))) { h = fH2DeltaT.ProjectionX(fNameProjDeltaT, -1, 9999, "E"); if (h->GetEntries()>0) gPad->SetLogy(); } pad->GetPad(2)->cd(1); if ((h = (TH1D*)gPad->FindObject(fNameProjTheta))) fH2DeltaT.ProjectionY(fNameProjTheta, -1, 9999, "E"); if (!fIsFinalized) FitThetaBins(); return; } if (o==(TString)"paint") { if ((h = (TH1D*)gPad->FindObject(fNameProjDeltaT))) { Double_t res[6]; FitH(h, res, kTRUE); PaintText(res); } return; } if (o==(TString)"timendf") { // UpdateRightAxis(fHTimeNDF); // FIXME: first bin? PaintProb(fHTimeProb); } if (o==(TString)"thetandf") { UpdateRightAxis(fHThetaNDF); // FIXME: first bin? PaintProb(fHThetaProb); } h=0; if (o==(TString)"theta") { h = &fHThetaEffOn; UpdateRightAxis(fHThetaLambda); } if (o==(TString)"time") { h = &fHTimeEffOn; UpdateRightAxis(fHTimeLambda); } if (!h) return; Double_t error = 0; for (int i=0; iGetXaxis()->GetNbins(); i++) error += h->GetBinError(i); PaintText(h->Integral(), error); } void MHEffectiveOnTime::DrawRightAxis(const char *title) { TGaxis *axis = new TGaxis(gPad->GetUxmax(), gPad->GetUymin(), gPad->GetUxmax(), gPad->GetUymax(), 0, 1, 510, "+L"); axis->SetName("RightAxis"); axis->SetTitle(title); axis->SetTitleOffset(0.9); axis->SetTextColor(kGreen); axis->CenterTitle(); axis->SetBit(kCanDelete); axis->Draw(); } // -------------------------------------------------------------------------- // // Draw the histogram // void MHEffectiveOnTime::Draw(Option_t *opt) { TVirtualPad *pad = gPad ? gPad : MakeDefCanvas(this); pad->SetBorderMode(0); AppendPad("fit"); pad->Divide(2, 1, 0, 0); TH1 *h; pad->cd(1); gPad->SetBorderMode(0); gPad->Divide(1, 3, 0, 0); pad->GetPad(1)->cd(1); gPad->SetBorderMode(0); h = fH2DeltaT.ProjectionX(fNameProjDeltaT, -1, 9999, "E"); h->SetTitle("Distribution of \\Delta t [s]"); h->SetXTitle("\\Delta t [s]"); h->SetYTitle("Counts"); h->SetDirectory(NULL); h->SetMarkerStyle(kFullDotMedium); h->SetBit(kCanDelete); h->Draw(); AppendPad("paint"); pad->GetPad(1)->cd(2); gPad->SetBorderMode(0); fHTimeProb.Draw(); AppendPad("timendf"); //fHTimeNDF.Draw("same"); //DrawRightAxis("NDF"); pad->GetPad(1)->cd(3); gPad->SetBorderMode(0); fHTimeEffOn.Draw(); AppendPad("time"); fHTimeLambda.Draw("same"); DrawRightAxis("\\lambda [s^{-1}]"); pad->cd(2); gPad->SetBorderMode(0); gPad->Divide(1, 3, 0, 0); pad->GetPad(2)->cd(1); gPad->SetBorderMode(0); h = fH2DeltaT.ProjectionY(fNameProjTheta, -1, 9999, "E"); h->SetTitle("Distribution of \\Theta [\\circ]"); h->SetXTitle("\\Theta [\\circ]"); h->SetYTitle("Counts"); h->SetDirectory(NULL); h->SetMarkerStyle(kFullDotMedium); h->SetBit(kCanDelete); h->GetYaxis()->SetTitleOffset(1.1); h->Draw(); pad->GetPad(2)->cd(2); gPad->SetBorderMode(0); fHThetaProb.Draw(); AppendPad("thetandf"); fHThetaNDF.Draw("same"); DrawRightAxis("NDF"); pad->GetPad(2)->cd(3); gPad->SetBorderMode(0); fHThetaEffOn.Draw(); AppendPad("theta"); fHThetaLambda.Draw("same"); DrawRightAxis("\\lambda [s^{-1}]"); }