rf901_numintconfig.C File Reference

Detailed Description

'NUMERIC ALGORITHM TUNING' RooFit tutorial macro #901

Configuration and customization of how numeric (partial) integrals are executed

Processing /builddir/build/BUILD/root-6.10.00/tutorials/roofit/rf901_numintconfig.C...

RooFit v3.60 -- Developed by Wouter Verkerke and David Kirkby 
                Copyright (C) 2000-2013 NIKHEF, University of California & Stanford University
                All rights reserved, please read http://roofit.sourceforge.net/license.txt

Requested precision: 1e-07 absolute, 1e-07 relative

1-D integration method: RooIntegrator1D (RooImproperIntegrator1D if open-ended)
2-D integration method: RooAdaptiveIntegratorND (N/A if open-ended)
N-D integration method: RooAdaptiveIntegratorND (N/A if open-ended)

Available integration methods:

*** RooBinIntegrator ***
Capabilities: [1-D] [2-D] [N-D] 
Configuration: 
  1)  numBins = 100

*** RooIntegrator1D ***
Capabilities: [1-D] 
Configuration: 
  1)        sumRule = Trapezoid(idx = 0)

  2)  extrapolation = Wynn-Epsilon(idx = 1)

  3)       maxSteps = 20
  4)       minSteps = 999
  5)       fixSteps = 0

*** RooIntegrator2D ***
Capabilities: [2-D] 
Configuration: 
(Depends on 'RooIntegrator1D')

*** RooSegmentedIntegrator1D ***
Capabilities: [1-D] 
Configuration: 
  1)  numSeg = 3
(Depends on 'RooIntegrator1D')

*** RooSegmentedIntegrator2D ***
Capabilities: [2-D] 
Configuration: 
(Depends on 'RooSegmentedIntegrator1D')

*** RooImproperIntegrator1D ***
Capabilities: [1-D] [OpenEnded] 
Configuration: 
(Depends on 'RooIntegrator1D')

*** RooMCIntegrator ***
Capabilities: [1-D] [2-D] [N-D] 
Configuration: 
  1)   samplingMode = Importance(idx = 0)

  2)        genType = QuasiRandom(idx = 0)

  3)        verbose = false(idx = 0)

  4)          alpha = 1.5
  5)    nRefineIter = 5
  6)  nRefinePerDim = 1000
  7)     nIntPerDim = 5000

*** RooAdaptiveGaussKronrodIntegrator1D ***
Capabilities: [1-D] [OpenEnded] 
Configuration: 
  1)  maxSeg = 100
  2)  method = 21Points(idx = 2)


*** RooGaussKronrodIntegrator1D ***
Capabilities: [1-D] [OpenEnded] 
Configuration: 

*** RooAdaptiveIntegratorND ***
Capabilities: [2-D] [N-D] 
Configuration: 
  1)  maxEval2D = 100000
  2)  maxEval3D = 1e+06
  3)  maxEvalND = 1e+07
  4)    maxWarn = 5

[#2] INFO:Integration -- RooRealIntegral::ctor(landau_Int[x]) Constructing integral of function landau over observables(x) with normalization () with range identifier <none>
[#2] DEBUG:Integration -- landau: Adding observable x of server x as shape dependent
[#2] INFO:Integration -- landau: Observable x is suitable for analytical integration (if supported by p.d.f)
[#2] INFO:Integration -- landau: Observables (x) are numerically integrated
[#1] INFO:NumericIntegration -- RooRealIntegral::init(landau_Int[x]) using numeric integrator RooIntegrator1D to calculate Int(x)
 [1] int_dx landau(x) = 0.0989653362054419
[#2] INFO:Integration -- RooRealIntegral::ctor(landau_Int[x]) Constructing integral of function landau over observables(x) with normalization () with range identifier <none>
[#2] DEBUG:Integration -- landau: Adding observable x of server x as shape dependent
[#2] INFO:Integration -- landau: Observable x is suitable for analytical integration (if supported by p.d.f)
[#2] INFO:Integration -- landau: Observables (x) are numerically integrated
[#1] INFO:NumericIntegration -- RooRealIntegral::init(landau_Int[x]) using numeric integrator RooAdaptiveGaussKronrodIntegrator1D to calculate Int(x)
 [2] int_dx landau(x) = 0.098957102921895
[#2] INFO:Integration -- RooRealIntegral::ctor(landau_Int[x]) Constructing integral of function landau over observables(x) with normalization () with range identifier <none>
[#2] DEBUG:Integration -- landau: Adding observable x of server x as shape dependent
[#2] INFO:Integration -- landau: Observable x is suitable for analytical integration (if supported by p.d.f)
[#2] INFO:Integration -- landau: Observables (x) are numerically integrated
[#1] INFO:NumericIntegration -- RooRealIntegral::init(landau_Int[x]) using numeric integrator RooAdaptiveGaussKronrodIntegrator1D to calculate Int(x)
 [3] int_dx landau(x) = 0.098957102921895
--- RooAbsArg ---
  Value State: clean
  Shape State: clean
  Attributes: 
  Address: 0xe73f0f0
  Clients: 
  Servers: 
  Proxies: 
--- RooAbsCategory ---
  Value is "15Points" (1)
  Has the following possible values:
        WynnEpsilon = 0
        15Points = 1
        21Points = 2
        31Points = 3
        41Points = 4
        51Points = 5
        61Points = 6

#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooConstVar.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "RooPlot.h"
#include "RooNumIntConfig.h"
#include "RooLandau.h"
#include "RooArgSet.h"
#include <iomanip>
using namespace RooFit ;


void rf901_numintconfig()
{

   // A d j u s t   g l o b a l   1 D   i n t e g r a t i o n   p r e c i s i o n 
   // ----------------------------------------------------------------------------

   // Print current global default configuration for numeric integration strategies
   RooAbsReal::defaultIntegratorConfig()->Print("v") ;

   // Example: Change global precision for 1D integrals from 1e-7 to 1e-6
   //
   // The relative epsilon (change as fraction of current best integral estimate) and
   // absolute epsilon (absolute change w.r.t last best integral estimate) can be specified
   // separately. For most p.d.f integrals the relative change criterium is the most important,
   // however for certain non-p.d.f functions that integrate out to zero a separate absolute
   // change criterium is necessary to declare convergence of the integral
   //
   // NB: This change is for illustration only. In general the precision should be at least 1e-7 
   // for normalization integrals for MINUIT to succeed.
   //
   RooAbsReal::defaultIntegratorConfig()->setEpsAbs(1e-6) ;
   RooAbsReal::defaultIntegratorConfig()->setEpsRel(1e-6) ;


   // N u m e r i c   i n t e g r a t i o n   o f   l a n d a u   p d f 
   // ------------------------------------------------------------------
   
   // Construct p.d.f without support for analytical integrator for demonstration purposes
   RooRealVar x("x","x",-10,10) ;
   RooLandau landau("landau","landau",x,RooConst(0),RooConst(0.1)) ;
   

   // Activate debug-level messages for topic integration to be able to follow actions below
   RooMsgService::instance().addStream(DEBUG,Topic(Integration)) ;


   // Calculate integral over landau with default choice of numeric integrator
   RooAbsReal* intLandau = landau.createIntegral(x) ;
   Double_t val = intLandau->getVal() ;
   cout << " [1] int_dx landau(x) = " << setprecision(15) << val << endl ;



   // S a m e   w i t h   c u s t o m   c o n f i g u r a t i o n
   // -----------------------------------------------------------
   

   // Construct a custom configuration which uses the adaptive Gauss-Kronrod technique
   // for closed 1D integrals
   RooNumIntConfig customConfig(*RooAbsReal::defaultIntegratorConfig()) ;
   customConfig.method1D().setLabel("RooAdaptiveGaussKronrodIntegrator1D") ;


   // Calculate integral over landau with custom integral specification
   RooAbsReal* intLandau2 = landau.createIntegral(x,NumIntConfig(customConfig)) ;
   Double_t val2 = intLandau2->getVal() ;
   cout << " [2] int_dx landau(x) = " << val2 << endl ;



   // A d j u s t i n g   d e f a u l t   c o n f i g   f o r   a   s p e c i f i c   p d f 
   // -------------------------------------------------------------------------------------
   

   // Another possibility: associate custom numeric integration configuration as default for object 'landau'
   landau.setIntegratorConfig(customConfig) ;


   // Calculate integral over landau custom numeric integrator specified as object default
   RooAbsReal* intLandau3 = landau.createIntegral(x) ;
   Double_t val3 = intLandau3->getVal() ;
   cout << " [3] int_dx landau(x) = " << val3 << endl ;
   

   // Another possibility: Change global default for 1D numeric integration strategy on finite domains
   RooAbsReal::defaultIntegratorConfig()->method1D().setLabel("RooAdaptiveGaussKronrodIntegrator1D") ;  



   // A d j u s t i n g   p a r a m e t e r s   o f   a   s p e c i f i c   t e c h n i q u e 
   // ---------------------------------------------------------------------------------------

   // Adjust maximum number of steps of RooIntegrator1D in the global default configuration
   RooAbsReal::defaultIntegratorConfig()->getConfigSection("RooIntegrator1D").setRealValue("maxSteps",30) ;

   
   // Example of how to change the parameters of a numeric integrator
   // (Each config section is a RooArgSet with RooRealVars holding real-valued parameters
   //  and RooCategories holding parameters with a finite set of options)
   customConfig.getConfigSection("RooAdaptiveGaussKronrodIntegrator1D").setRealValue("maxSeg",50) ;
   customConfig.getConfigSection("RooAdaptiveGaussKronrodIntegrator1D").setCatLabel("method","15Points") ;


   // Example of how to print set of possible values for "method" category
   customConfig.getConfigSection("RooAdaptiveGaussKronrodIntegrator1D").find("method")->Print("v") ;

}

Author

07/2008 - Wouter Verkerke

Definition in file rf901_numintconfig.C.