rf110_normintegration.C

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/// \file
/// \ingroup tutorial_roofit
/// \notebook -js
///  'BASIC FUNCTIONALITY' RooFit tutorial macro #110
///
///  Examples on normalization of p.d.f.s,
///  integration of p.d.fs, construction
///  of cumulative distribution functions from p.d.f.s
///  in one dimension
///
/// \macro_image
/// \macro_output
/// \macro_code
/// \author 07/2008 - Wouter Verkerke 
 
#include "RooRealVar.h"
#include "RooGaussian.h"
#include "RooConstVar.h"
#include "RooAbsReal.h"
#include "RooPlot.h"
#include "TCanvas.h"
#include "TAxis.h"
using namespace RooFit ;
 
 
void rf110_normintegration()
{
   // S e t u p   m o d e l 
   // ---------------------
 
   // Create observables x,y
   RooRealVar x("x","x",-10,10) ;
 
   // Create p.d.f. gaussx(x,-2,3) 
   RooGaussian gx("gx","gx",x,RooConst(-2),RooConst(3)) ;
 
 
   // R e t r i e v e   r a w  &   n o r m a l i z e d   v a l u e s   o f   R o o F i t   p . d . f . s
   // --------------------------------------------------------------------------------------------------
 
   // Return 'raw' unnormalized value of gx
   cout << "gx = " << gx.getVal() << endl ;
 
   // Return value of gx normalized over x in range [-10,10]
   RooArgSet nset(x) ;
   cout << "gx_Norm[x] = " << gx.getVal(&nset) << endl ;
 
   // Create object representing integral over gx
   // which is used to calculate  gx_Norm[x] == gx / gx_Int[x]
   RooAbsReal* igx = gx.createIntegral(x) ;
   cout << "gx_Int[x] = " << igx->getVal() << endl ;
 
 
   // I n t e g r a t e   n o r m a l i z e d   p d f   o v e r   s u b r a n g e
   // ----------------------------------------------------------------------------
 
   // Define a range named "signal" in x from -5,5
   x.setRange("signal",-5,5) ;
 
   // Create an integral of gx_Norm[x] over x in range "signal"
   // This is the fraction of of p.d.f. gx_Norm[x] which is in the
   // range named "signal"
   RooAbsReal* igx_sig = gx.createIntegral(x,NormSet(x),Range("signal")) ;
   cout << "gx_Int[x|signal]_Norm[x] = " << igx_sig->getVal() << endl ;
 
 
 
   // C o n s t r u c t   c u m u l a t i v e   d i s t r i b u t i o n   f u n c t i o n   f r o m   p d f
   // -----------------------------------------------------------------------------------------------------
 
   // Create the cumulative distribution function of gx
   // i.e. calculate Int[-10,x] gx(x') dx'
   RooAbsReal* gx_cdf = gx.createCdf(x) ;
 
   // Plot cdf of gx versus x
   RooPlot* frame = x.frame(Title("c.d.f of Gaussian p.d.f")) ;
   gx_cdf->plotOn(frame) ;
 
 
 
   // Draw plot on canvas
   new TCanvas("rf110_normintegration","rf110_normintegration",600,600) ;
   gPad->SetLeftMargin(0.15) ; frame->GetYaxis()->SetTitleOffset(1.6) ;
   frame->Draw() ;
 
 
}