Numeric algorithm tuning: configuration and customization of how numeric (partial) integrals are executed
from __future__ import print_function
import ROOT
ROOT.RooAbsReal.defaultIntegratorConfig().Print("v")
ROOT.RooAbsReal.defaultIntegratorConfig().setEpsAbs(1e-6)
ROOT.RooAbsReal.defaultIntegratorConfig().setEpsRel(1e-6)
x = ROOT.RooRealVar("x", "x", -10, 10)
landau = ROOT.RooLandau("landau", "landau", x, 0.0, 0.1)
landau.forceNumInt(True)
ROOT.RooMsgService.instance().addStream(ROOT.RooFit.DEBUG, Topic=ROOT.RooFit.Integration)
intLandau = landau.createIntegral({x})
val = intLandau.getVal()
print(" [1] int_dx landau(x) = ", val)
customConfig = ROOT.RooNumIntConfig(ROOT.RooAbsReal.defaultIntegratorConfig())
integratorGKNotExisting = customConfig.method1D().setLabel("RooAdaptiveGaussKronrodIntegrator1D")
if integratorGKNotExisting:
print("WARNING: RooAdaptiveGaussKronrodIntegrator is not existing because ROOT is built without Mathmore support")
intLandau2 = landau.createIntegral({x}, NumIntConfig=customConfig)
val2 = intLandau2.getVal()
print(" [2] int_dx landau(x) = ", val2)
landau.setIntegratorConfig(customConfig)
intLandau3 = landau.createIntegral({x})
val3 = intLandau3.getVal()
print(" [3] int_dx landau(x) = ", val3)
if not integratorGKNotExisting:
ROOT.RooAbsReal.defaultIntegratorConfig().method1D().setLabel("RooAdaptiveGaussKronrodIntegrator1D")
ROOT.RooAbsReal.defaultIntegratorConfig().getConfigSection("RooIntegrator1D").setRealValue("maxSteps", 30)
customConfig.getConfigSection("RooAdaptiveGaussKronrodIntegrator1D").setRealValue("maxSeg", 50)
customConfig.getConfigSection("RooAdaptiveGaussKronrodIntegrator1D").setCatLabel("method", "15Points")
customConfig.getConfigSection("RooAdaptiveGaussKronrodIntegrator1D").find("method").Print("v")
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
*** RooAdaptiveIntegratorND ***
Capabilities: [2-D] [N-D]
Configuration:
1) maxEval2D = 100000
2) maxEval3D = 1e+06
3) maxEvalND = 1e+07
4) maxWarn = 5
*** RooAdaptiveGaussKronrodIntegrator1D ***
Capabilities: [1-D] [OpenEnded]
Configuration:
1) maxSeg = 100
2) method = 21Points(idx = 2)
*** RooGaussKronrodIntegrator1D ***
Capabilities: [1-D] [OpenEnded]
Configuration:
[#3] INFO:Integration -- RooRealIntegral::ctor(landau_Int[x]) Constructing integral of function landau over observables(x) with normalization () with range identifier <none>
[#3] DEBUG:Integration -- landau: Adding observable x as shape dependent
[#3] DEBUG:Integration -- landau: Adding parameter 0 as value dependent
[#3] DEBUG:Integration -- landau: Adding parameter 0.1 as value dependent
[#3] INFO:Integration -- landau: Observable x is suitable for analytical integration (if supported by p.d.f)
[#3] INFO:Integration -- landau: Observables (x) are numerically integrated
[#1] INFO:NumericIntegration -- RooRealIntegral::init(landau_Int[x]) using numeric integrator RooRombergIntegrator to calculate Int(x)
[#3] INFO:Integration -- RooRealIntegral::ctor(landau_Int[x]) Constructing integral of function landau over observables(x) with normalization () with range identifier <none>
[#3] DEBUG:Integration -- landau: Adding observable x as shape dependent
[#3] DEBUG:Integration -- landau: Adding parameter 0 as value dependent
[#3] DEBUG:Integration -- landau: Adding parameter 0.1 as value dependent
[#3] INFO:Integration -- landau: Observable x is suitable for analytical integration (if supported by p.d.f)
[#3] 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] INFO:Integration -- RooRealIntegral::ctor(landau_Int[x]) Constructing integral of function landau over observables(x) with normalization () with range identifier <none>
[#3] DEBUG:Integration -- landau: Adding observable x as shape dependent
[#3] DEBUG:Integration -- landau: Adding parameter 0 as value dependent
[#3] DEBUG:Integration -- landau: Adding parameter 0.1 as value dependent
[#3] INFO:Integration -- landau: Observable x is suitable for analytical integration (if supported by p.d.f)
[#3] INFO:Integration -- landau: Observables (x) are numerically integrated
[#1] INFO:NumericIntegration -- RooRealIntegral::init(landau_Int[x]) using numeric integrator RooAdaptiveGaussKronrodIntegrator1D to calculate Int(x)
--- RooAbsArg ---
Value State: clean
Shape State: clean
Attributes: [SnapShot_ExtRefClone]
Address: 0x7f91500
Clients:
Servers:
Proxies:
--- RooAbsCategory ---
Value = 1 "15Points)
Possible states:
[1] int_dx landau(x) = 0.09896533620544187
[2] int_dx landau(x) = 0.09895710292189497
[3] int_dx landau(x) = 0.09895710292189497
15Points 1
21Points 2
31Points 3
41Points 4
51Points 5
61Points 6
WynnEpsilon 0
- Date
- February 2018
- Authors
- Clemens Lange, Wouter Verkerke (C++ version)
Definition in file rf901_numintconfig.py.