doc/v606/rf201__composite_8C.html

#ifndef __CINT__

#include "RooGlobalFunc.h"

#endif

#include "RooRealVar.h"

#include "RooDataSet.h"

#include "RooGaussian.h"

#include "RooChebychev.h"

#include "RooAddPdf.h"

#include "TCanvas.h"

#include "TAxis.h"

#include "RooPlot.h"

using namespace RooFit ;


void rf201_composite()

{

  // S e t u p   c o m p o n e n t   p d f s

  // ---------------------------------------


  // Declare observable x

  RooRealVar x("x","x",0,10) ;


  // Create two Gaussian PDFs g1(x,mean1,sigma) anf g2(x,mean2,sigma) and their parameters

  RooRealVar mean("mean","mean of gaussians",5) ;

  RooRealVar sigma1("sigma1","width of gaussians",0.5) ;

  RooRealVar sigma2("sigma2","width of gaussians",1) ;


  RooGaussian sig1("sig1","Signal component 1",x,mean,sigma1) ;

  RooGaussian sig2("sig2","Signal component 2",x,mean,sigma2) ;


  // Build Chebychev polynomial p.d.f.

  RooRealVar a0("a0","a0",0.5,0.,1.) ;

  RooRealVar a1("a1","a1",-0.2,0.,1.) ;

  RooChebychev bkg("bkg","Background",x,RooArgSet(a0,a1)) ;


  ////////////////////////////////////////////////////

  // M E T H O D   1 - T w o   R o o A d d P d f s  //

  ////////////////////////////////////////////////////


  // A d d   s i g n a l   c o m p o n e n t s

  // ------------------------------------------


  // Sum the signal components into a composite signal p.d.f.

  RooRealVar sig1frac("sig1frac","fraction of component 1 in signal",0.8,0.,1.) ;

  RooAddPdf sig("sig","Signal",RooArgList(sig1,sig2),sig1frac) ;


  // A d d  s i g n a l   a n d   b a c k g r o u n d

  // ------------------------------------------------


  // Sum the composite signal and background

  RooRealVar bkgfrac("bkgfrac","fraction of background",0.5,0.,1.) ;

  RooAddPdf  model("model","g1+g2+a",RooArgList(bkg,sig),bkgfrac) ;


  // S a m p l e ,   f i t   a n d   p l o t   m o d e l

  // ---------------------------------------------------


  // Generate a data sample of 1000 events in x from model

  RooDataSet *data = model.generate(x,1000) ;


  // Fit model to data

  model.fitTo(*data) ;


  // Plot data and PDF overlaid

  RooPlot* xframe = x.frame(Title("Example of composite pdf=(sig1+sig2)+bkg")) ;

  data->plotOn(xframe) ;

  model.plotOn(xframe) ;


  // Overlay the background component of model with a dashed line

  model.plotOn(xframe,Components(bkg),LineStyle(kDashed)) ;


  // Overlay the background+sig2 components of model with a dotted line

  model.plotOn(xframe,Components(RooArgSet(bkg,sig2)),LineStyle(kDotted)) ;


  // Print structure of composite p.d.f.

  model.Print("t") ;


  ////////////////////////////////////////////////////////////////////////////////////////////////////

  // M E T H O D   2 - O n e   R o o A d d P d f   w i t h   r e c u r s i v e   f r a c t i o n s  //

  ////////////////////////////////////////////////////////////////////////////////////////////////////


  // Construct sum of models on one go using recursive fraction interpretations

  //

  //   model2 = bkg + (sig1 + sig2)

  //

  RooAddPdf  model2("model","g1+g2+a",RooArgList(bkg,sig1,sig2),RooArgList(bkgfrac,sig1frac),kTRUE) ;


  // NB: Each coefficient is interpreted as the fraction of the

  // left-hand component of the i-th recursive sum, i.e.

  //

  //   sum4 = A + ( B + ( C + D)  with fraction fA, fB and fC expands to

  //

  //   sum4 = fA*A + (1-fA)*(fB*B + (1-fB)*(fC*C + (1-fC)*D))


  // P l o t   r e c u r s i v e   a d d i t i o n   m o d e l

  // ---------------------------------------------------------

  model2.plotOn(xframe,LineColor(kRed),LineStyle(kDashed)) ;

  model2.plotOn(xframe,Components(RooArgSet(bkg,sig2)),LineColor(kRed),LineStyle(kDashed)) ;

  model2.Print("t") ;


  // Draw the frame on the canvas

  new TCanvas("rf201_composite","rf201_composite",600,600) ;

  gPad->SetLeftMargin(0.15) ; xframe->GetYaxis()->SetTitleOffset(1.4) ; xframe->Draw() ;


}