rf309_ndimplot.C File Reference

Detailed Description

Multidimensional models: making 2/3 dimensional plots of pdfs and datasets

 
#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooProdPdf.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "TH1.h"
#include "RooPlot.h"
using namespace RooFit;
 
void rf309_ndimplot()
{
 
   // C r e a t e   2 D   m o d e l   a n d   d a t a s e t
   // -----------------------------------------------------
 
   // Create observables
   RooRealVar x("x", "x", -5, 5);
   RooRealVar y("y", "y", -5, 5);
 
   // Create parameters
   RooRealVar a0("a0", "a0", -3.5, -5, 5);
   RooRealVar a1("a1", "a1", -1.5, -1, 1);
   RooRealVar sigma("sigma", "width of gaussian", 1.5);
 
   // Create interpreted function f(y) = a0 - a1*sqrt(10*abs(y))
   RooFormulaVar fy("fy", "a0-a1*sqrt(10*abs(y))", RooArgSet(y, a0, a1));
 
   // Create gauss(x,f(y),s)
   RooGaussian model("model", "Gaussian with shifting mean", x, fy, sigma);
 
   // Sample dataset from gauss(x,y)
   std::unique_ptr<RooDataSet> data{model.generate({x, y}, 10000)};
 
   // M a k e   2 D   p l o t s   o f   d a t a   a n d   m o d e l
   // -------------------------------------------------------------
 
   // Create and fill ROOT 2D histogram (20x20 bins) with contents of dataset
   TH1 *hh_data = data->createHistogram("x,y", Binning(20), Binning(20));
 
   // Create and fill ROOT 2D histogram (50x50 bins) with sampling of pdf
   // TH2D* hh_pdf = model.createHistogram("hh_model",x,Binning(50),YVar(y,Binning(50))) ;
   TH1 *hh_pdf = model.createHistogram("x,y", 50, 50);
   hh_pdf->SetLineColor(kBlue);
 
   // C r e a t e   3 D   m o d e l   a n d   d a t a s e t
   // -----------------------------------------------------
 
   // Create observables
   RooRealVar z("z", "z", -5, 5);
 
   RooGaussian gz("gz", "gz", z, 0.0, 2.0);
   RooProdPdf model3("model3", "model3", RooArgSet(model, gz));
 
   std::unique_ptr<RooDataSet> data3{model3.generate({x, y, z}, 10000)};
 
   // M a k e   3 D   p l o t s   o f   d a t a   a n d   m o d e l
   // -------------------------------------------------------------
 
   // Create and fill ROOT 2D histogram (8x8x8 bins) with contents of dataset
   TH1 *hh_data3 = data3->createHistogram("hh_data3", x, Binning(8), YVar(y, Binning(8)), ZVar(z, Binning(8)));
 
   // Create and fill ROOT 2D histogram (20x20x20 bins) with sampling of pdf
   TH1 *hh_pdf3 = model3.createHistogram("hh_model3", x, Binning(20), YVar(y, Binning(20)), ZVar(z, Binning(20)));
   hh_pdf3->SetFillColor(kBlue);
 
   TCanvas *c1 = new TCanvas("rf309_2dimplot", "rf309_2dimplot", 800, 800);
   c1->Divide(2, 2);
   c1->cd(1);
   gPad->SetLeftMargin(0.15);
   hh_data->GetZaxis()->SetTitleOffset(1.4);
   hh_data->Draw("lego");
   c1->cd(2);
   gPad->SetLeftMargin(0.20);
   hh_pdf->GetZaxis()->SetTitleOffset(2.5);
   hh_pdf->Draw("surf");
   c1->cd(3);
   gPad->SetLeftMargin(0.15);
   hh_data->GetZaxis()->SetTitleOffset(1.4);
   hh_data->Draw("box");
   c1->cd(4);
   gPad->SetLeftMargin(0.15);
   hh_pdf->GetZaxis()->SetTitleOffset(2.5);
   hh_pdf->Draw("cont3");
 
   TCanvas *c2 = new TCanvas("rf309_3dimplot", "rf309_3dimplot", 800, 400);
   c2->Divide(2);
   c2->cd(1);
   gPad->SetLeftMargin(0.15);
   hh_data3->GetZaxis()->SetTitleOffset(1.4);
   hh_data3->Draw("lego");
   c2->cd(2);
   gPad->SetLeftMargin(0.15);
   hh_pdf3->GetZaxis()->SetTitleOffset(1.4);
   hh_pdf3->Draw("iso");
}

[#0] WARNING:InputArguments -- The parameter 'sigma' with range [-inf, inf] of the RooGaussian 'model' exceeds the safe range of (0, inf). Advise to limit its range.
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init(model_Int[x,y]) using numeric integrator RooIntegrator1D to calculate Int(y)

Date

July 2008

Author

Wouter Verkerke

Definition in file rf309_ndimplot.C.