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#include <vector>
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using namespace std;
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#include <TROOT.h>
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#include <TChain.h>
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#include <TFile.h>
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#include <TTree.h>
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#include <TH1.h>
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#include <TH2.h>
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#include <THStack.h>
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#include <TStyle.h>
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#include <TCanvas.h>
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#include <TMath.h>
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#include <TMultiGraph.h>
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#include <TGraphErrors.h>
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#include <TLegend.h>
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#include <TPaveStats.h>
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#include "Math/GSLIntegrator.h"
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#include "Math/WrappedTF1.h"
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TString fileName = "QCDbin4.root";
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// Histo range
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double xMin = 0.0;
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double xMax = 2.0;
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// fit region weight
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double wxmin = 2.1;
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double wxmax = 0.8;
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// Select fitting function:
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TString s0 = "landau";
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// Select New or Old reliso:
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TString isoname = "New";
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void fitLandau()
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{
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gStyle->SetOptFit(01111);
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TFile *file = TFile::Open(fileName);
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TTree *tree = (TTree*)file->Get("myTree");
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TH1D *h0 = (TH1D*)file->Get("histos/h_RelIso_all");
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TH1D *h1 = (TH1D*)file->Get("histos/h_RelIso_qcd");
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Int_t jbin;
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Double_t na;
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tree->SetBranchAddress("jbin",&jbin);
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tree->SetBranchAddress("na",&na);
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// Int_t nentries = (Int_t)tree->GetEntries();
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tree->GetEntry(0);
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// define fit region:
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double ax0 = 0.;
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double axf = 0.;
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double bx0= 0.;
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double bxf = 0.;
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cout<<"Use "<<isoname<<" RelIso"<<endl;
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if ( isoname.Contains("Old") ) {
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// old
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ax0 = 0.95;
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axf = 1.0;
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bx0 = 0.2;
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bxf = 0.8;
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}
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else if ( isoname.Contains("New") ) {
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// new
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ax0 = 0.0;
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axf = 0.053;
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bx0 = 0.4;
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bxf = 2.0;
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}
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int niter = 1;
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double pass[3] = {0.,0.,0.};
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double ns, ns2;
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ns = ns2 = 0.;
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TCanvas *cv = new TCanvas("cv","cv",800,600);
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// Fit QCD in background region
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cout<<"Fitting with "<<s0<<" function!"<<endl;
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TH1D *h_all = (TH1D*)h0->Clone();
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TH1D *h_qcd = (TH1D*)h1->Clone();
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h_all->SetLineWidth(2);
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h_all->SetMinimum(0);
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if( jbin == 4)
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h_all->SetTitle(isoname+" RelIso distribution (#geq 4 jets)");
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else if ( jbin < 4 ) {
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TString title = isoname+" RelIso distribution (";
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title += jbin;
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title += " jets)";
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h_all->SetTitle(title);
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}
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else{
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cout << "Wrong bin number!" << endl;
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}
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h_all->Draw();
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cout << "\n>>>>> Iteration step: "<< niter << endl;
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h_all->Fit(s0,"0","",bx0,bxf);
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// Very first fit function
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TF1 *f0 = (TF1*)h_all->GetFunction(s0);
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Int_t npar = f0->GetNpar();
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Double_t chi2 = f0->GetChisquare();
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Int_t ndof = f0->GetNDF();
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pass[0] = chi2/ndof;
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pass[1] = pass[0];
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cout << ">> Norm chi2 = " << pass[0] << endl;
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bx0 = f0->GetParameter(1) - wxmin*f0->GetParameter(2);
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bxf = f0->GetParameter(1) + wxmax*f0->GetParameter(2);
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double * par0 = new double [npar];
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double * parErr0 = new double [npar];
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double delta = pass[1]-pass[2];
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while (niter <= 20 && abs(pass[1]-pass[2]) > 0.00001) {
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if (niter > 1)
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pass[1]=pass[2];
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if (delta >= 0){
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niter++;
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cout << "\n>>>>> Iteration step: "<< niter << endl;
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cout << ">> Pass[1] = " << pass[1] << endl;
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h_all->Fit(s0,"0","",bx0,bxf);
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TF1 *fi = (TF1*)h_all->GetFunction(s0);
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pass[2] = fi->GetChisquare()/fi->GetNDF();
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cout << ">> Norm chi2 = pass[2] = " << pass[2] << endl;
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delta = pass[1]-pass[2];
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cout << ">> Delta = " << delta << endl;
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if (delta >= 0) {
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printf("Function has %i parameters. Chisquare = %g\n",
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npar,
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fi->GetChisquare());
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for (Int_t i=0;i<npar;i++) {
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printf("%s = %g +- %g\n",
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fi->GetParName(i),
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fi->GetParameter(i),
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fi->GetParError(i)
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);
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par0[i] = fi->GetParameter(i);
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parErr0[i] = fi->GetParError(i);
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// cout<<"Par["<<i<<"]="<<par0[i]<<"; Error="<<parErr0[i]<<endl;
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}
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bx0 = fi->GetParameter(1) - wxmin*fi->GetParameter(2);
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bxf = fi->GetParameter(1) + wxmax*fi->GetParameter(2);
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cout << ">> bx0, bxf = " << bx0 << ", " << bxf << endl;
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}
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else {
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cout << ">> Use previous fit!" << endl;
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}
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}
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}
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cout << ">>> Final fitting resion (bx0, bxf) = " << bx0 << ", " << bxf << endl;
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// Get number of events within fitted region
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TAxis *axis = h_all->GetXaxis();
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int bmin = axis->FindBin(bx0);
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int bmax = axis->FindBin(bxf);
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double nfac1 = h_all->Integral(bmin,bmax);
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nfac1 -= (h_all->GetBinContent(bmin))*(bx0-axis->GetBinLowEdge(bmin))/axis->GetBinWidth(bmin);
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nfac1 -= (h_all->GetBinContent(bmax))*(axis->GetBinUpEdge(bmax)-bxf)/axis->GetBinWidth(bmax);
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cout << ">>> Final Nfac = " << nfac1 << endl;
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// ////////////////////////
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// Histos and extrapolation
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TF1 *f1 = (TF1*)f0->Clone();
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f1->SetRange(bx0,bxf);
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for (int i=0;i<npar;i++) {
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cout<<" >> Par["<<i<<"]="<<par0[i]<<"; Error="<<parErr0[i]<<endl;
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f1->SetParameter(i,par0[i]);
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}
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f1->SetLineColor(2);
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h_qcd->SetLineColor(40);
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h_qcd->SetFillStyle(3018);
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h_qcd->SetFillColor(38);
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h_qcd->Draw("same");
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f1->Draw("same");
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// Connect fitted and extrapolated region
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TF1 *fin = (TF1*)f1->Clone();
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fin->SetRange(axf,bx0);
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fin->SetLineStyle(2);
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fin->SetLineColor(8);
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fin->Draw("same");
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TF1 *f2 = (TF1*)f1->Clone();
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f2->SetRange(ax0,axf);
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f2->SetLineColor(4);
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f2->Draw("same");
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int np = 100;
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double *x=new double[np];
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double *w=new double[np];
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f2->CalcGaussLegendreSamplingPoints(np,x,w,1e-15);
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ns = f2->IntegralFast(np,x,w,ax0,axf);
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ns/=(f2->Integral(bx0,bxf));
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ns*=nfac1;
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cout<<">>> Ns by usual integral = "<<ns<<endl;
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delete [] x;
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delete [] w;
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// Another way to do integration
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TF1 *g = (TF1*)f1->Clone();
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ROOT::Math::GSLIntegrator ig(1.E-8,1.E-8,1000);
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ROOT::Math::WrappedTF1 wf(*g);
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ig.SetFunction(wf);
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ns2 = ig.Integral(ax0,axf);
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ns2/=(g->Integral(bx0,bxf));
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ns2*=nfac1;
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cout<<">>> Ns by MathMore integral = "<<ns2<<endl;
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cv->Update();
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TPaveStats *p1 = (TPaveStats*)h_all->GetListOfFunctions()->FindObject("stats");
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p1->SetTextColor(kBlue);
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p1->SetX1NDC(0.6);
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p1->SetX2NDC(0.88);
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p1->SetY1NDC(0.62);
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p1->SetY2NDC(0.88);
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p1->Draw();
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// Label histo
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TLegend * leg1 = new TLegend(0.3,0.15,0.68,0.45);
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leg1->AddEntry(h_all,"All events (S+B)");
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leg1->AddEntry(h_qcd,"QCD events");
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leg1->AddEntry(f1,"Fit of all events in control region");
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leg1->AddEntry(f2,"Extrapolation to signal region");
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leg1->Draw();
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// Print results
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cout << "\n";
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cout << ">>>>> Jet bin " << jbin << ":" << endl;
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cout << ">>>>> Observed Ns = " << ns << endl;
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cout << ">>>>> Expected Na = " << na << endl;
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cout << "Deviation = " << (ns-na)/na*100.0 << " %" <<endl;
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}
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