doc/v606/normalDist_8C.html

#ifndef __CINT__

#include "Math/DistFunc.h"

#include "TF1.h"

#include "TCanvas.h"

#include "TSystem.h"

#include "TLegend.h"

#include "TAxis.h"

#endif


void normalDist() {


   TF1 *pdfunc  = new TF1("pdf","ROOT::Math::normal_pdf(x, [0],[1])",-5,5);

   TF1 *cdfunc  = new TF1("cdf","ROOT::Math::normal_cdf(x, [0],[1])",-5,5);

   TF1 *ccdfunc = new TF1("cdf_c","ROOT::Math::normal_cdf_c(x, [0])",-5,5);

   TF1 *qfunc   = new TF1("quantile","ROOT::Math::normal_quantile(x, [0])",0,1);

   TF1 *cqfunc  = new TF1("quantile_c","ROOT::Math::normal_quantile_c(x, [0])",0,1);


   pdfunc->SetParameters(1.0,0.0);  // set sigma to 1 and mean to zero

   pdfunc->SetTitle("");

   pdfunc->SetLineColor(kBlue);


   pdfunc->GetXaxis()->SetLabelSize(0.06);

   pdfunc->GetXaxis()->SetTitle("x");

   pdfunc->GetXaxis()->SetTitleSize(0.07);

   pdfunc->GetXaxis()->SetTitleOffset(0.55);

   pdfunc->GetYaxis()->SetLabelSize(0.06);


   cdfunc->SetParameters(1.0,0.0);  // set sigma to 1 and mean to zero

   cdfunc->SetTitle("");

   cdfunc->SetLineColor(kRed);


   cdfunc->GetXaxis()->SetLabelSize(0.06);

   cdfunc->GetXaxis()->SetTitle("x");

   cdfunc->GetXaxis()->SetTitleSize(0.07);

   cdfunc->GetXaxis()->SetTitleOffset(0.55);


   cdfunc->GetYaxis()->SetLabelSize(0.06);

   cdfunc->GetYaxis()->SetTitle("p");

   cdfunc->GetYaxis()->SetTitleSize(0.07);

   cdfunc->GetYaxis()->SetTitleOffset(0.55);


   ccdfunc->SetParameters(1.0,0.0);  // set sigma to 1 and mean to zero

   ccdfunc->SetTitle("");

   ccdfunc->SetLineColor(kGreen);


   qfunc->SetParameter(0, 1.0);  // set sigma to 1

   qfunc->SetTitle("");

   qfunc->SetLineColor(kRed);

   qfunc->SetNpx(1000); // to get more precision for p close to 0 or 1


   qfunc->GetXaxis()->SetLabelSize(0.06);

   qfunc->GetXaxis()->SetTitle("p");

   qfunc->GetYaxis()->SetLabelSize(0.06);

   qfunc->GetXaxis()->SetTitleSize(0.07);

   qfunc->GetXaxis()->SetTitleOffset(0.55);

   qfunc->GetYaxis()->SetTitle("x");

   qfunc->GetYaxis()->SetTitleSize(0.07);

   qfunc->GetYaxis()->SetTitleOffset(0.55);


   cqfunc->SetParameter(0, 1.0);  // set sigma to 1

   cqfunc->SetTitle("");

   cqfunc->SetLineColor(kGreen);

   cqfunc->SetNpx(1000);


   TCanvas * c1 = new TCanvas("c1","Normal Distributions",100,10,600,800);


   c1->Divide(1,3);

   c1->cd(1);


   pdfunc->Draw();

   TLegend *legend1 = new TLegend(0.583893,0.601973,0.885221,0.854151);

   legend1->AddEntry(pdfunc,"normal_pdf","l");

   legend1->Draw();


   c1->cd(2);

   cdfunc->Draw();

   ccdfunc->Draw("same");

   TLegend *legend2 = new TLegend(0.585605,0.462794,0.886933,0.710837);

   legend2->AddEntry(cdfunc,"normal_cdf","l");

   legend2->AddEntry(ccdfunc,"normal_cdf_c","l");

   legend2->Draw();


   c1->cd(3);

   qfunc->Draw();

   cqfunc->Draw("same");

   TLegend *legend3 = new TLegend(0.315094,0.633668,0.695179,0.881711);

   legend3->AddEntry(qfunc,"normal_quantile","l");

   legend3->AddEntry(cqfunc,"normal_quantile_c","l");

   legend3->Draw();

}