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"# pdf001_Normal\n",
"Tutorial illustrating the new statistical distributions functions (pdf, cdf and quantile)\n",
"\n",
"\n",
"\n",
"\n",
"**Author:** Anna Kreshuk \n",
"This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Tuesday, May 19, 2026 at 08:26 PM."
]
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"TF1 *pdfunc = new TF1(\"pdf\",\"ROOT::Math::normal_pdf(x, [0],[1])\",-5,5);\n",
"TF1 *cdfunc = new TF1(\"cdf\",\"ROOT::Math::normal_cdf(x, [0],[1])\",-5,5);\n",
"TF1 *ccdfunc = new TF1(\"cdf_c\",\"ROOT::Math::normal_cdf_c(x, [0])\",-5,5);\n",
"TF1 *qfunc = new TF1(\"quantile\",\"ROOT::Math::normal_quantile(x, [0])\",0,1);\n",
"TF1 *cqfunc = new TF1(\"quantile_c\",\"ROOT::Math::normal_quantile_c(x, [0])\",0,1);\n",
"\n",
"pdfunc->SetParameters(1.0,0.0); // set sigma to 1 and mean to zero\n",
"pdfunc->SetTitle(\"\");\n",
"pdfunc->SetLineColor(kBlue);\n",
"\n",
"pdfunc->GetXaxis()->SetLabelSize(0.06);\n",
"pdfunc->GetXaxis()->SetTitle(\"x\");\n",
"pdfunc->GetXaxis()->SetTitleSize(0.07);\n",
"pdfunc->GetXaxis()->SetTitleOffset(0.55);\n",
"pdfunc->GetYaxis()->SetLabelSize(0.06);\n",
"\n",
"cdfunc->SetParameters(1.0,0.0); // set sigma to 1 and mean to zero\n",
"cdfunc->SetTitle(\"\");\n",
"cdfunc->SetLineColor(kRed);\n",
"\n",
"cdfunc->GetXaxis()->SetLabelSize(0.06);\n",
"cdfunc->GetXaxis()->SetTitle(\"x\");\n",
"cdfunc->GetXaxis()->SetTitleSize(0.07);\n",
"cdfunc->GetXaxis()->SetTitleOffset(0.55);\n",
"\n",
"cdfunc->GetYaxis()->SetLabelSize(0.06);\n",
"cdfunc->GetYaxis()->SetTitle(\"p\");\n",
"cdfunc->GetYaxis()->SetTitleSize(0.07);\n",
"cdfunc->GetYaxis()->SetTitleOffset(0.55);\n",
"\n",
"ccdfunc->SetParameters(1.0,0.0); // set sigma to 1 and mean to zero\n",
"ccdfunc->SetTitle(\"\");\n",
"ccdfunc->SetLineColor(kGreen);\n",
"\n",
"qfunc->SetParameter(0, 1.0); // set sigma to 1\n",
"qfunc->SetTitle(\"\");\n",
"qfunc->SetLineColor(kRed);\n",
"qfunc->SetNpx(1000); // to get more precision for p close to 0 or 1\n",
"\n",
"qfunc->GetXaxis()->SetLabelSize(0.06);\n",
"qfunc->GetXaxis()->SetTitle(\"p\");\n",
"qfunc->GetYaxis()->SetLabelSize(0.06);\n",
"qfunc->GetXaxis()->SetTitleSize(0.07);\n",
"qfunc->GetXaxis()->SetTitleOffset(0.55);\n",
"qfunc->GetYaxis()->SetTitle(\"x\");\n",
"qfunc->GetYaxis()->SetTitleSize(0.07);\n",
"qfunc->GetYaxis()->SetTitleOffset(0.55);\n",
"\n",
"cqfunc->SetParameter(0, 1.0); // set sigma to 1\n",
"cqfunc->SetTitle(\"\");\n",
"cqfunc->SetLineColor(kGreen);\n",
"cqfunc->SetNpx(1000);\n",
"\n",
"TCanvas * c1 = new TCanvas(\"c1\",\"Normal Distributions\",100,10,600,800);\n",
"\n",
"c1->Divide(1,3);\n",
"c1->cd(1);\n",
"\n",
"pdfunc->Draw();\n",
"TLegend *legend1 = new TLegend(0.583893,0.601973,0.885221,0.854151);\n",
"legend1->AddEntry(pdfunc,\"normal_pdf\",\"l\");\n",
"legend1->Draw();\n",
"\n",
"c1->cd(2);\n",
"cdfunc->Draw();\n",
"ccdfunc->Draw(\"same\");\n",
"TLegend *legend2 = new TLegend(0.585605,0.462794,0.886933,0.710837);\n",
"legend2->AddEntry(cdfunc,\"normal_cdf\",\"l\");\n",
"legend2->AddEntry(ccdfunc,\"normal_cdf_c\",\"l\");\n",
"legend2->Draw();\n",
"\n",
"c1->cd(3);\n",
"qfunc->Draw();\n",
"cqfunc->Draw(\"same\");\n",
"TLegend *legend3 = new TLegend(0.315094,0.633668,0.695179,0.881711);\n",
"legend3->AddEntry(qfunc,\"normal_quantile\",\"l\");\n",
"legend3->AddEntry(cqfunc,\"normal_quantile_c\",\"l\");\n",
"legend3->Draw();"
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"Draw all canvases "
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