RooExtendPdf.cxx

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/*****************************************************************************
 * Project: RooFit                                                           *
 * Package: RooFitCore                                                       *
 * @(#)root/roofitcore:$Id$
 * Authors:                                                                  *
 *   WV, Wouter Verkerke, UC Santa Barbara, verkerke@slac.stanford.edu       *
 *   DK, David Kirkby,    UC Irvine,         dkirkby@uci.edu                 *
 *                                                                           *
 * Copyright (c) 2000-2005, Regents of the University of California          *
 *                          and Stanford University. All rights reserved.    *
 *                                                                           *
 * Redistribution and use in source and binary forms,                        *
 * with or without modification, are permitted according to the terms        *
 * listed in LICENSE (http://roofit.sourceforge.net/license.txt)             *
 *****************************************************************************/
 
/** \class RooExtendPdf
RooExtendPdf is a wrapper around an existing PDF that adds a
parameteric extended likelihood term to the PDF, optionally divided by a
fractional term from a partial normalization of the PDF:
\f[
      n_\mathrm{Expected} = N \quad \text{or} \quad n_\mathrm{Expected} = N / \mathrm{frac}
\f]
where \f$ N \f$ is supplied as a RooAbsReal to RooExtendPdf.
The fractional term is defined as
\f[
    \mathrm{frac} = \frac{\int_\mathrm{cutRegion[x]} \mathrm{pdf}(x,y) \; \mathrm{d}x \mathrm{d}y}{
      \int_\mathrm{normRegion[x]} \mathrm{pdf}(x,y) \; \mathrm{d}x \mathrm{d}y}
\f]
 
where \f$ x \f$ is the set of dependents involved in the selection region and \f$ y \f$
is the set of remaining dependents.
 
\f$ \mathrm{cutRegion}[x] \f$ is a limited integration range that is contained in
the nominal integration range \f$ \mathrm{normRegion}[x] \f$.
*/
 
#include "Riostream.h"
 
#include "RooArgList.h"
#include "RooConstVar.h"
#include "RooExtendPdf.h"
#include "RooFormulaVar.h"
#include "RooMsgService.h"
#include "RooNameReg.h"
#include "RooProduct.h"
#include "RooRatio.h"
#include "RooRealVar.h"
 
#include "RooFitImplHelpers.h"
 
using std::endl;
 
 
RooExtendPdf::RooExtendPdf(const char *name, const char *title, RooAbsPdf& pdf,
                    RooAbsReal& norm, const char* rangeName)
    : RooExtendPdf{name, title, pdf, RooAbsReal::Ref{norm}, rangeName} {}
 
/// Constructor. The ExtendPdf behaves identical to the supplied input pdf,
/// but adds an extended likelihood term. expectedEvents() will return
/// `norm` if `rangeName` remains empty. If `rangeName` is not empty,
/// `norm` will refer to this range, and expectedEvents will return the
/// total number of events over the full range of the observables.
/// \param[in] name   Name of the pdf
/// \param[in] title  Title of the pdf (for plotting)
/// \param[in] pdf    The pdf to be extended
/// \param[in] norm   Expected number of events
/// \param[in] rangeName  If given, the number of events denoted by `norm` is interpreted as
/// the number of events in this range only
RooExtendPdf::RooExtendPdf(const char *name, const char *title, RooAbsPdf& pdf,
            RooAbsReal::Ref norm, const char* rangeName) :
  RooAbsPdf(name,title),
  _pdf("pdf", "PDF", this, pdf),
  _n("n","Normalization",this,norm),
  _rangeName(RooNameReg::ptr(rangeName))
{
 
  // Copy various setting from pdf
  setUnit(_pdf->getUnit()) ;
  setPlotLabel(_pdf->getPlotLabel()) ;
}
 
 
 
RooExtendPdf::RooExtendPdf(const RooExtendPdf& other, const char* name) :
  RooAbsPdf(other,name),
  _pdf("pdf",this,other._pdf),
  _n("n",this,other._n),
  _rangeName(other._rangeName)
{
  // Copy constructor
}
 
 
/// Return the number of expected events over the full range of all variables.
/// `norm`, the variable set as normalisation constant in the constructor,
/// will yield the number of events in the range set in the constructor. That is, the function returns
/// \f[
///     N = \mathrm{norm} \; \cdot \; \frac{\int_{(x_F,y_F)} \mathrm{pdf}(x,y) }{\int_{(x_C,y_F)} \mathrm{pdf}(x,y)}
/// \f]
/// Where \f$ x \f$ is the set of dependents with a restricted range (defined by `rangeName` in the constructor),
/// and \f$ y \f$ are the other dependents. \f$ x_C \f$ is the integration
/// of \f$ x \f$ over the restricted range, and \f$ x_F \f$ is the integration of
/// \f$ x \f$ over the full range. `norm` is the number of events given as parameter to the constructor.
///
/// If the nested PDF can be extended, \f$ N \f$ is further scaled by its expected number of events.
double RooExtendPdf::expectedEvents(const RooArgSet* nset) const
{
  const RooAbsPdf& pdf = *_pdf;
 
  if (_rangeName && (!nset || nset->empty())) {
    coutW(InputArguments) << "RooExtendPdf::expectedEvents(" << GetName() << ") WARNING: RooExtendPdf needs non-null normalization set to calculate fraction in range "
           << _rangeName << ".  Results may be nonsensical" << std::endl ;
  }
 
  double nExp = _n ;
 
  // Optionally multiply with fractional normalization
  if (_rangeName) {
 
    double fracInt = pdf.getNormObj(nset,nset,_rangeName)->getVal();
 
 
    if ( fracInt == 0. || _n == 0.) {
      coutW(Eval) << "RooExtendPdf(" << GetName() << ") WARNING: nExpected = " << _n << " / "
        << fracInt << " for nset = " << (nset?*nset:RooArgSet()) << std::endl ;
    }
 
    nExp /= fracInt ;
  }
 
  // Multiply with original Nexpected, if defined
  if (pdf.canBeExtended()) nExp *= pdf.expectedEvents(nset) ;
 
  return nExp ;
}
 
 
std::unique_ptr<RooAbsReal> RooExtendPdf::createExpectedEventsFunc(const RooArgSet *nset) const
{
   const RooAbsPdf& pdf = *_pdf;
 
   RooArgList prodList;
   prodList.add(*_n);
 
   // Optionally multiply with fractional normalization
   std::unique_ptr<RooAbsReal> rangeFactor;
   if (_rangeName) {
      std::unique_ptr<RooAbsReal> fracInteg{pdf.createIntegral(*nset, *nset, RooNameReg::str(_rangeName))};
      // Create one over integral term
      auto rangeFactorName = std::string("one_over_") + fracInteg->GetName();
      rangeFactor = std::make_unique<RooRatio>(rangeFactorName.c_str(), rangeFactorName.c_str(), RooFit::RooConst(1.0), *fracInteg);
      rangeFactor->addOwnedComponents(std::move(fracInteg));
      prodList.add(*rangeFactor);
   }
 
   // Multiply with original Nexpected, if defined
   std::unique_ptr<RooAbsReal> pdfExpectedEvents;
   if (pdf.canBeExtended()) {
      pdfExpectedEvents = pdf.createExpectedEventsFunc(nset);
      prodList.add(*pdfExpectedEvents);
   }
 
   auto name = std::string(GetName()) + "_expectedEvents";
   if (nset) {
      name += "[" + RooHelpers::getColonSeparatedNameString(*nset, ',') + "]";
   }
   auto out = std::make_unique<RooProduct>(name.c_str(), name.c_str(), prodList);
   if(rangeFactor) {
      out->addOwnedComponents(std::move(rangeFactor));
   }
   if(pdfExpectedEvents) {
      out->addOwnedComponents(std::move(pdfExpectedEvents));
   }
   return out;
}