| 1 |
buchmann |
1.1 |
#include <iostream>
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#include <string>
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#include <sstream>
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#include <TRandom.h>
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#include <TH1.h>
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#include <TCanvas.h>
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#include <TF1.h>
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#include <TMath.h>
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#include <TText.h>
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#include <TLine.h>
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#include <TColor.h>
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#ifndef VERBOSITY
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#define VERBOSITY 0
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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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#define PoissonCalculatorLoaded
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using namespace std;
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TH1F *compute_area(TH1F *histo, float low, float hi) {
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TH1F *markedhisto = (TH1F*)histo->Clone();
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markedhisto->SetName("marked");
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markedhisto->SetFillColor(TColor::GetColor("#87CeFA"));
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markedhisto->SetLineWidth(0);
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for(int i=1;i<=histo->GetNbinsX();i++) {
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if(histo->GetBinCenter(i)<low||histo->GetBinCenter(i)>hi) markedhisto->SetBinContent(i,0);
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}
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return markedhisto;
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}
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Double_t PoissonDistribution(Double_t *par,Double_t *x) {
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// Double_t result = (1.0)/TMath::Gamma(1.2);
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Double_t result = (TMath::Power(par[0],x[0])*TMath::Exp(-par[0]))/(TMath::Gamma(x[0]+1));
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//function << "(TMath::Power(" << lambda << ",x)*TMath::Exp(-" << lambda << "))/(TMath::Gamma(x+1))";
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return result;
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}
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void find68(TH1F* histo, long N, int rounds,float &maximum,float &errordown,float &errorup)
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{
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//float max = histo->GetBinCenter(histo->GetMaximumBin());
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float max=maximum;
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int startbin=histo->GetMaximumBin();
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int left=startbin;
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int right=startbin;
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float want=(float)N * 0.68*rounds;
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float have=histo->GetBinContent(startbin);
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if(VERBOSITY>0) dout << "found maximum at " << max << " ( this is bin " << startbin << ")" << endl;
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while(have<want)
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{
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if(histo->GetBinContent(left-1)>histo->GetBinContent(right+1))
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{
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have+=histo->GetBinContent(left-1);
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left--;
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}
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else
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{
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have+=histo->GetBinContent(right+1);
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right++;
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}
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}
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float loweredge=histo->GetBinCenter(left);
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float upperedge=histo->GetBinCenter(right);
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if(VERBOSITY>0) dout << "we now have " << have << " and we wanted at least " << want << endl;
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if(VERBOSITY>0) dout << "the range is " << loweredge << " to " << upperedge<< " corresponding to :" << endl;
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if(VERBOSITY>0) dout << "\033[1;34m " << max << "+ " << (upperedge-max) << " - " << (max-loweredge) << " \033[0m" << endl;
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errorup=(upperedge-max);
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errordown=(max-loweredge);
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maximum=max;
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}
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void combine_advanced_dists(TH1F *combdist,float *x1,float *x2,float *x3, float *x4, float *x5, float *x6, float *x7, long N)
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{
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float temp=-99;
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for (int i=0;i<N;i++)
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{
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flag_this_change(__FUNCTION__,__LINE__,false);//PlottingSetup::RestrictToMassPeak
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if(PlottingSetup::RestrictToMassPeak) temp = x1[i]+(1.0/3)*(x2[i]-x3[i])+(1.0/3)*(x4[i]-x5[i])+(1.0/3)*(x6[i]-x7[i]);
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else temp = x1[i]+(x2[i]-x3[i]);
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combdist->Fill(temp);
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}
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}
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void combine_dists(TH1F *combdist,float *x1,float *x2,float *x3, long N)
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{
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float temp=-99;
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for (int i=0;i<N;i++)
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{
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temp = x1[i]+x2[i]-x3[i];
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combdist->Fill(temp);
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}
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}
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void generate(float *x1, float lambda,long N,float range)
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{
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stringstream function;
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function << "(TMath::Power(" << lambda << ",x)*TMath::Exp(-" << lambda << "))/(TMath::Gamma(x+1))";
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TF1 *f1 = new TF1("f1",function.str().c_str(),0,range);
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for(int i=0;i<N;i++)
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{
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if(lambda>0) x1[i]=f1->GetRandom();
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else x1[i]=0; //if we want to do this for lambda=0 then all we can provide is zero ...
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}//end of for
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}//end of generate_x1
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void megagen(float a, float b, float c, float d, float e, float f, float g, int N,float range,TH1 *combineddist) {
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stringstream function;
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function << "(TMath::Power(" << a << ",x)*TMath::Exp(-" << a << "))/(TMath::Gamma(x+1))";
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TF1 *f1 = new TF1("f1",function.str().c_str(),0,range);
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stringstream function2;
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function2 << "(TMath::Power(" << b << ",x)*TMath::Exp(-" << b << "))/(TMath::Gamma(x+1))";
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TF1 *f2 = new TF1("f2",function2.str().c_str(),0,range);
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stringstream function3;
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function3 << "(TMath::Power(" << c << ",x)*TMath::Exp(-" << c << "))/(TMath::Gamma(x+1))";
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TF1 *f3 = new TF1("f3",function3.str().c_str(),0,range);
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stringstream function4;
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function4 << "(TMath::Power(" << d << ",x)*TMath::Exp(-" << d << "))/(TMath::Gamma(x+1))";
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TF1 *f4 = new TF1("f4",function4.str().c_str(),0,range);
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stringstream function5;
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function5 << "(TMath::Power(" << e << ",x)*TMath::Exp(-" << e << "))/(TMath::Gamma(x+1))";
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TF1 *f5 = new TF1("f5",function5.str().c_str(),0,range);
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stringstream function6;
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function6 << "(TMath::Power(" << f << ",x)*TMath::Exp(-" << f << "))/(TMath::Gamma(x+1))";
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TF1 *f6 = new TF1("f6",function6.str().c_str(),0,range);
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stringstream function7;
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function7 << "(TMath::Power(" << g << ",x)*TMath::Exp(-" << g << "))/(TMath::Gamma(x+1))";
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TF1 *f7 = new TF1("f7",function7.str().c_str(),0,range);
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float fillval;
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for(int i=0;i<N;i++) {
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flag_this_change(__FUNCTION__,__LINE__,false);//PlottingSetup::RestrictToMassPeak
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if(PlottingSetup::RestrictToMassPeak) fillval=f1->GetRandom()+(1.0/3)*(f2->GetRandom()-f3->GetRandom())+(1.0/3)*(f4->GetRandom()-f5->GetRandom())+(1.0/3)*(f6->GetRandom()-f7->GetRandom());
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else fillval=f1->GetRandom()+(f2->GetRandom()-f3->GetRandom());
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combineddist->Fill(fillval);
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}
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}
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int poisson_canvas_counter=-1;
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void ComputePoissonError(float one, float two, float three,float &maximum, float &errordown, float &errorup, string title="no title has been passed") {
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maximum=one+two-three;
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if(one+two+three>0.01) {
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long N=500000;
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float range=(one+two-three)*2;
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if(range<3) range=3;
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float x1[N];
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float x2[N];
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float x3[N];
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TCanvas *c1 = new TCanvas("c1","c1");
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TH1F *combineddist = new TH1F("combineddist","",500,0,range);
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generate(x1,one,N,range);
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generate(x2,two,N,range);
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generate(x3,three,N,range);
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combine_dists(combineddist,x1,x2,x3,N);
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find68(combineddist,N,1,maximum,errordown,errorup);
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| 168 |
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//from here on we only do "cosmetics" :-)
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combineddist->Draw();
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combineddist->GetYaxis()->SetRangeUser(0,1.1*combineddist->GetMaximum());
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TLine *central = new TLine(maximum,0,maximum,combineddist->GetMaximum());
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central->SetLineColor(kBlue);
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TH1F *drawarea = compute_area(combineddist,maximum-errordown,maximum+errorup);
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//blublu : need to implement the compute_area function which gives the integration area in a nice color :-)
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drawarea->Draw("same");
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combineddist->Draw("same");
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| 177 |
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central->Draw();
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| 178 |
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TText *ttitle = write_title(title);
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ttitle->Draw();
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| 180 |
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stringstream result1;
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| 181 |
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result1 << "Pred: "<<one<<" + " << two << " - " << three << " = " << one+two-three;
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TText *res1=write_text(0.10,0.05,result1.str().c_str());
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| 183 |
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res1->SetTextSize(0.03);
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| 184 |
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res1->SetTextAlign(11);
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| 185 |
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stringstream result2;
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| 186 |
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result2 << "Error band: [" << maximum-errordown << " , " << maximum+errorup << "]";
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TText *res2=write_text(0.10,0.01,result2.str().c_str());
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| 188 |
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res2->SetTextSize(0.03);
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| 189 |
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res2->SetTextAlign(11);
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| 190 |
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res1->Draw();
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| 191 |
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res2->Draw();
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| 192 |
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stringstream result3;
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| 193 |
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result3 << "Result: " << maximum << " + " << errorup << " - " << errordown;
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| 194 |
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TText *res3=write_text(0.95,0.03,result3.str().c_str());
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| 195 |
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res3->SetTextColor(kBlue);
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| 196 |
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res3->SetTextSize(0.03);
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| 197 |
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res3->SetTextAlign(31);
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| 198 |
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res3->Draw();
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| 199 |
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poisson_canvas_counter++;
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| 200 |
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stringstream savename;
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| 201 |
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savename << "Poisson/PoissonStatisticsCanvas_" << poisson_canvas_counter;
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| 202 |
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CompleteSave(c1,savename.str());
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| 203 |
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| 204 |
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delete combineddist;
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| 206 |
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}
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| 207 |
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else {
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| 208 |
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if(VERBOSITY>0) dout << "Entries are too small. Not much to be done." << endl;
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| 209 |
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maximum=one+two-three;errordown=0;errorup=0;
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| 210 |
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}
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| 211 |
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}
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| 212 |
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| 213 |
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| 214 |
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void advanced_poisson(float a, float b, float c, float d, float e, float f, float g,float &errordown,float &errorup)
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| 215 |
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{
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| 216 |
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float maximum=a;
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| 217 |
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flag_this_change(__FUNCTION__,__LINE__,false);//PlottingSetup::RestrictToMassPeak
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| 218 |
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if(PlottingSetup::RestrictToMassPeak) maximum+=(1.0/3)*(b-c)+(1.0/3)*(d-e)+(1.0/3)*(f-g);
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| 219 |
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else maximum+=(b-c);
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| 220 |
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float parametersum=a+b+c;
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| 221 |
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if(PlottingSetup::RestrictToMassPeak) parametersum+=d+e+f+g;
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| 222 |
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flag_this_change(__FUNCTION__,__LINE__,false);//PlottingSetup::RestrictToMassPeak
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| 223 |
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if(parametersum>0.01) {
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| 224 |
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long N=500000;
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| 225 |
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float range=a;
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| 226 |
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flag_this_change(__FUNCTION__,__LINE__,false);//PlottingSetup::RestrictToMassPeak
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| 227 |
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if(PlottingSetup::RestrictToMassPeak) range+=(1.0/3)*(b-c)+(1.0/3)*(d-e)+(1.0/3)*(f-g);
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| 228 |
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else range+=(b-c);
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| 229 |
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range*=2;
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| 230 |
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if(range<3) range=3;
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| 231 |
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| 232 |
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TCanvas *c1 = new TCanvas("c1","c1");
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| 233 |
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TH1F *combineddist = new TH1F("combineddist","",500,0,range);
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| 234 |
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megagen(a,b,c,d,e,f,g,N,range,combineddist);
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| 235 |
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find68(combineddist,N,1,maximum,errordown,errorup);
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| 236 |
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| 237 |
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//from here on we only do "cosmetics" :-)
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| 238 |
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combineddist->Draw();
|
| 239 |
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combineddist->GetYaxis()->SetRangeUser(0,1.1*combineddist->GetMaximum());
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| 240 |
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TLine *central = new TLine(maximum,0,maximum,combineddist->GetMaximum());
|
| 241 |
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central->SetLineColor(kBlue);
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| 242 |
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TH1F *drawarea = compute_area(combineddist,maximum-errordown,maximum+errorup);
|
| 243 |
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//blublu : need to implement the compute_area function which gives the integration area in a nice color :-)
|
| 244 |
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drawarea->Draw("same");
|
| 245 |
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combineddist->Draw("same");
|
| 246 |
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central->Draw();
|
| 247 |
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stringstream result1;
|
| 248 |
|
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flag_this_change(__FUNCTION__,__LINE__,false);//PlottingSetup::RestrictToMassPeak
|
| 249 |
|
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if(PlottingSetup::RestrictToMassPeak) result1 << "Pred: "<<a<<" + (1/3)*(" << b<<"-"<<c<<")+ (1/3)*(" << d<<"-"<<e<<")+ (1/3)*(" << f<<"-"<<g<<") = " << maximum;
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| 250 |
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else result1 << "Pred: "<<a<<" + (" << b<<"-"<<c<<") = " << maximum;
|
| 251 |
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TText *res1=write_text(0.10,0.05,result1.str().c_str());
|
| 252 |
|
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res1->SetTextSize(0.03);
|
| 253 |
|
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res1->SetTextAlign(11);
|
| 254 |
|
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stringstream result2;
|
| 255 |
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result2 << "Error band: [" << maximum-errordown << " , " << maximum+errorup << "]";
|
| 256 |
|
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TText *res2=write_text(0.10,0.01,result2.str().c_str());
|
| 257 |
|
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res2->SetTextSize(0.03);
|
| 258 |
|
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res2->SetTextAlign(11);
|
| 259 |
|
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res1->Draw();
|
| 260 |
|
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res2->Draw();
|
| 261 |
|
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stringstream result3;
|
| 262 |
|
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result3 << "Result: " << maximum << " + " << errorup << " - " << errordown;
|
| 263 |
|
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TText *res3=write_text(0.95,0.03,result3.str().c_str());
|
| 264 |
|
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res3->SetTextColor(kBlue);
|
| 265 |
|
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res3->SetTextSize(0.03);
|
| 266 |
|
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res3->SetTextAlign(31);
|
| 267 |
|
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res3->Draw();
|
| 268 |
|
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poisson_canvas_counter++;
|
| 269 |
|
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stringstream savename;
|
| 270 |
|
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savename << "Poisson/Result_PoissonStatisticsCanvas_" << poisson_canvas_counter;
|
| 271 |
|
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CompleteSave(c1,savename.str());
|
| 272 |
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|
| 273 |
|
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delete combineddist;
|
| 274 |
|
|
|
| 275 |
|
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}
|
| 276 |
|
|
else {
|
| 277 |
|
|
if(VERBOSITY>0) dout << "Entries are too small. Not much to be done." << endl;
|
| 278 |
|
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errordown=0;errorup=0;
|
| 279 |
|
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}
|
| 280 |
|
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}
|
| 281 |
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|
| 282 |
|
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|
| 283 |
|
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/***
|
| 284 |
|
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*
|
| 285 |
|
|
* SAMPLE USAGE BELOW !!!!
|
| 286 |
|
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*
|
| 287 |
|
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*
|
| 288 |
|
|
|
| 289 |
|
|
int main()
|
| 290 |
|
|
{
|
| 291 |
|
|
dout << "hello!" << endl;
|
| 292 |
|
|
float max,down,up;
|
| 293 |
|
|
ComputePoissonError(2,6,0.001,max,down,up);
|
| 294 |
|
|
dout << "RESULTS: " << max << " + " << up << " - " << down << endl;
|
| 295 |
|
|
return 0;
|
| 296 |
|
|
}
|
| 297 |
|
|
*/
|
