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/*
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g++ ShapeFit.C -o ShapeFit.exec `root-config --glibs --cflags` && ./ShapeFit.exec
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*/
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#include <iostream>
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#include <vector>
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#include <fstream>
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#include <TH1.h>
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#include <TCanvas.h>
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#include <TObjArray.h>
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#include <TF1.h>
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#include <TError.h>
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#include <TFractionFitter.h>
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#include <TMath.h>
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#include <TROOT.h>
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#include <THStack.h>
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#include <TLine.h>
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#include <TColor.h>
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#ifndef ValueClassLoaded
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#include "ValueClass.C"
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#endif
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#ifndef GeneralToolBoxLoaded
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#include "GeneralToolBox.C"
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#endif
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using namespace std;
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void check_compatibility_with_zero(Value sigresult, ofstream &file) {
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cout << "Checking compatibility with zero for f=" << sigresult << endl;
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cout << " The result is compatible with zero to " << 1-(TMath::Erf((sigresult.getValue()/(TMath::Sqrt(2)*sigresult.getError())))) << endl;
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file << "Checking compatibility with zero for f=" << sigresult << endl;
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file << " The result is compatible with zero to " << 1-(TMath::Erf((sigresult.getValue()/(TMath::Sqrt(2)*sigresult.getError())))) << endl;
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}
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/*
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vector<float> compute_sigmas(TH1 *signal, float weight) {
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TH1F *histo = (TH1F*)signal->Clone();
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histo->Scale(weight);
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float integral[7];
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for(int i=0;i<4;i++) integral[i]=0;
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for(int i=0;i<=histo->GetNbinsX()+1;i++) {
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integral[0]+=histo->GetBinContent(i);
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integral[1]+=histo->GetBinContent(i)+histo->GetBinError(i);
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integral[2]+=histo->GetBinContent(i)+2*histo->GetBinError(i);
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integral[3]+=histo->GetBinContent(i)+3*histo->GetBinError(i);
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integral[4]+=histo->GetBinContent(i)+4*histo->GetBinError(i);
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integral[5]+=histo->GetBinContent(i)+5*histo->GetBinError(i);
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integral[6]+=histo->GetBinContent(i)+6*histo->GetBinError(i);
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}
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float meanintegral = signal->Integral();
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vector<float> results;
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results.push_back(integral[0]/meanintegral);
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results.push_back(integral[1]/meanintegral);
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results.push_back(integral[2]/meanintegral);
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results.push_back(integral[3]/meanintegral);
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results.push_back(integral[4]/meanintegral);
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results.push_back(integral[5]/meanintegral);
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results.push_back(integral[6]/meanintegral);
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return results;
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}
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*/
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void present_limit_fitting_results(TH1 *result,TH1 *data, TH1 *background, TH1 *signal, float bgw, float siw,string filename) {
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TH1F *bg = (TH1F*)background->Clone();
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bg->Scale(bgw);
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TH1F *si = (TH1F*)signal->Clone();
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si->Scale(siw);
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// TCanvas *c1 = new TCanvas("c1","c1",500,900);
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TCanvas *c1 = new TCanvas("c1","c1",1500,500);
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c1->Divide(3,1);
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// c1->Divide(1,3);
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c1->cd(1);
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data->SetTitle("");
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data->SetStats(0);
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background->SetLineColor(kBlue);
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data->SetLineColor(kBlack);
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signal->SetLineColor(kRed);
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// background->SetFillColor(TColor::GetColor("#5882FA"));
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background->SetMarkerSize(0);
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// background->SetFillColor(TColor::GetColor("#5882FA"));
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// signal->SetFillColor(TColor::GetColor("#81F781"));
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signal->SetMarkerSize(0);
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// signal->SetFillColor(TColor::GetColor("#FE2E2E"));
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TLegend *leg = new TLegend(0.7,0.7,0.89,0.89);
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leg->AddEntry(data,"Data","p");
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leg->AddEntry(bg,"Z+Jets","f");
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leg->AddEntry(si,"signal","f");
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leg->SetLineColor(kWhite);
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leg->SetFillColor(kWhite);
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data->Draw();
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background->Draw("histo,same");
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signal->Draw("histo,same");
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data->Draw("same");
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leg->Draw("same");
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TText* title = write_title("Before fitting");
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title->Draw();
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c1->cd(2);
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c1->cd(2)->SetLogy(1);
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TH1F *datac = (TH1F*)data->Clone();
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bg->SetFillColor(TColor::GetColor("#5882FA"));
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bg->SetLineColor(kBlue);
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// si->SetLineColor(kGreen);
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// si->SetFillColor(TColor::GetColor("#81F781"));
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si->SetLineColor(kRed);
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si->SetFillColor(TColor::GetColor("#FE2E2E"));
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THStack fresult("fresult","");
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fresult.Add(bg);
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fresult.Add(si);
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fresult.Draw("histo");
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datac->SetMinimum(0.4);
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datac->SetMaximum(data->GetMaximum()*10);
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datac->Draw();
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fresult.Draw("histo,same");
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datac->Draw("same");
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leg->Draw("same");
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TText* title2 = write_title("After fitting (composition)");
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title2->Draw();
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c1->cd(3);
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TH1F *ratio = (TH1F*)result->Clone();
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ratio->Divide(data);
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ratio->GetYaxis()->SetRangeUser(0,2);
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TLine *oneline = new TLine(data->GetBinLowEdge(1),1,data->GetBinLowEdge(data->GetNbinsX())+data->GetBinWidth(data->GetNbinsX()),1);
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oneline->SetLineColor(kBlue);
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ratio->SetFillColor(TColor::GetColor("#FA8258"));
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ratio->SetTitle("");
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ratio->SetStats(0);
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ratio->GetYaxis()->SetTitle("(Fit result)/data");
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ratio->GetYaxis()->CenterTitle();
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ratio->SetMarkerSize(0);
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ratio->Draw("E5");
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oneline->Draw();
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TText* title3 = write_title("Ratio");
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title3->Draw();
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CompleteSave(c1,("upper_limit/"+filename).c_str());
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CompleteSave(c1->cd(1),("upper_limit/"+filename+"_cd1").c_str());
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CompleteSave(c1->cd(2),("upper_limit/"+filename+"_cd2").c_str());
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CompleteSave(c1->cd(3),("upper_limit/"+filename+"_cd3").c_str());
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}
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float compute_upper_limit_based_on_fit(Value signalresult, Value originalfactor, int nsigma) {
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float stretchby=signalresult.getValue()*(signalresult.getValue()+nsigma*signalresult.getError())/(signalresult.getValue());
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stretchby/=originalfactor.getValue();
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return stretchby;
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}
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vector<float> establish_upper_limits(TH1 *data, TH1 *background, TH1 *signal,string filename, ofstream &file) {
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TObjArray *allmc = new TObjArray(2);
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allmc->Add(background);
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allmc->Add(signal);
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TCanvas *c1 = new TCanvas("c1","c1");
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background->SetMarkerColor(kBlue);
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background->Draw();
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signal->SetMarkerColor(kGreen);
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signal->Draw("same");
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data->Draw("same");
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c1->SaveAs("Input_for_establish_upper_limits.png");
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TFractionFitter* fit = new TFractionFitter(data, allmc);
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fit->Constrain(0,0.8,1.2);
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fit->Constrain(1,0.0,10.0);
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Int_t status = fit->Fit();
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vector<float> results;
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if(status!=0) return results;
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Double_t mean[2],error[2];
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fit->GetResult(0,mean[0],error[0]);
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Value SMresult(mean[0],error[0]);
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fit->GetResult(1,mean[1],error[1]);
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Value sigresult(mean[1],error[1]);
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cout << "Parameters: " << mean[0] << " , " << mean[1] << endl;
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if(mean[0]<0||mean[1]<0) {
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cout << "Fitting failed, one of the parameters is negative !!!!" << endl;
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return results;
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}
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Value vdata(data->Integral(),TMath::Sqrt(data->Integral()));
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Value vsig(signal->Integral(),TMath::Sqrt(signal->Integral()));
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Value vbg(background->Integral(),TMath::Sqrt(background->Integral()));
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float originalfactor=(signal->Integral())/(data->Integral());
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float originalfactorSM=(background->Integral())/(data->Integral());
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Value ofac = vsig/vdata;
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Value ofacsm = vbg /vdata;
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Value stretchsm = SMresult/ofacsm;
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Value stretchsig = sigresult/ofac;
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cout << "Data consists of: " << endl;
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cout << " SM : " << SMresult << endl;
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cout << " signal: " << sigresult << endl;
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cout << "This means that the components have been scaled by: " << endl;
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cout << " SM: has been stretched by " << (mean[0])/originalfactorSM << " "<< stretchsm<<endl;
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cout << " Signal: has been stretched by " << (mean[1])/originalfactor << " "<< stretchsig<<endl;
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file << "------------------------------------------"<<endl;
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file << "Now considering: Everything pertaining to " << filename << endl;
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file << "Data consists of: " << endl;
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file << " SM : " << SMresult << endl;
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file << " signal: " << sigresult << endl;
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file << "This means that the components have been scaled by: " << endl;
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file << " SM: has been stretched by " << stretchsm<<endl;
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file << " Signal: has been stretched by " << stretchsig<<endl;
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present_limit_fitting_results((TH1F*)fit->GetPlot(),data,background,signal,(mean[0])/originalfactorSM,(mean[1])/originalfactor,filename);
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check_compatibility_with_zero(sigresult,file);
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//vector<float> results = compute_sigmas(signal,(mean[1])/originalfactor);
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cout << "\\Chi^2 / ndf = " << fit->GetChisquare() << "/" << fit->GetNDF() << endl;
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results.push_back(compute_upper_limit_based_on_fit(sigresult,ofac,0));
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results.push_back(compute_upper_limit_based_on_fit(sigresult,ofac,1));
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results.push_back(compute_upper_limit_based_on_fit(sigresult,ofac,2));
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results.push_back(compute_upper_limit_based_on_fit(sigresult,ofac,3));
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cout << "Limits: (in terms of x prediction) " << endl;
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file << "Limits: (in terms of x prediction) " << endl;
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for (int i=0;i<=3;i++) {
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cout << i << " sigma : " << results[i] << endl;
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file << i << " sigma : " << results[i] << endl;
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}
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cout << endl << endl;
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file << endl << endl;
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if(results[3]<1) {
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cout << "The point has been excluded, since the upper limit corresponding to 3 sigma, " << results[3] << " is < 1" << endl;
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file << "The point has been excluded, since the upper limit corresponding to 3 sigma, " << results[3] << " is < 1" << endl;
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//the ANSII code below will make an X for the excluded point (to celebrate)
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cout << " __ __" << endl;
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cout << " \\ \\ / /" << endl;
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cout << " \\ V / " << endl;
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cout << " / \\ " << endl;
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cout << " / /^\\ \\" << endl;
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cout << " \\/ \\/" << endl;
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file << " __ __" << endl;
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file << " \\ \\ / /" << endl;
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file << " \\ V / " << endl;
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file << " / \\ " << endl;
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file << " / /^\\ \\" << endl;
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file << " \\/ \\/" << endl;
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}
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else {
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cout << "The 3 sigma limit on this point is " << results[3] << " x prediction" << endl;
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file << "The point has been excluded, since " << results[3] << " x prediction" << endl;
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}
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return results;
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}
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/*
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Please use the function like this :
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int main() {
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gROOT->SetStyle("Plain");
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ofstream myfile;
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myfile.open ("ShapeFit_log.txt");
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TH1F *data = new TH1F("data","data",10,0,10);
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data->GetXaxis()->SetTitle("some variable");
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data->GetXaxis()->CenterTitle();
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data->GetYaxis()->SetTitle("events");
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data->GetYaxis()->CenterTitle();
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data->Sumw2();
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TH1F *mc = new TH1F("mc","mc",10,0,10);
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mc->Sumw2();
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TH1F *si = new TH1F("si","signal",10,0,10);
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si->Sumw2();
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TF1 *f1 = new TF1("f1", "[0] +[1]*x +gaus(2)", 0, 5);
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f1->SetParameters(6, -1,8, 0.1, 0.05);
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TF1 *f2 = new TF1("f2", "gaus(2)", 0, 5);
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f2->SetParameters(5, 0.1, 0.05);
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TF1 *f3 = new TF1("f3", "[0] +[1]*x", 0, 5);
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f3->SetParameters(6, -1,8);
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data->FillRandom("f1",10000);
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mc->FillRandom("f3",6000);
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si->FillRandom("f2",2000);
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establish_upper_limits(data,mc,si,"test2.png",myfile);
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myfile.close();
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return 0;
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}
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*/ |
