RooGaussKronrodIntegrator1D.cxx File Reference

#include "RooFit.h"
#include <assert.h>
#include <math.h>
#include <float.h>
#include <stdlib.h>
#include "Riostream.h"
#include "TMath.h"
#include "RooGaussKronrodIntegrator1D.h"
#include "RooArgSet.h"
#include "RooRealVar.h"
#include "RooNumber.h"
#include "RooNumIntFactory.h"
#include "RooIntegratorBinding.h"
#include "RooMsgService.h"

Include dependency graph for RooGaussKronrodIntegrator1D.cxx:

Go to the source code of this file.

Macros
#define	GSL_FN_EVAL(F, x)   (*((F)->function))(x,(F)->params)
#define	GSL_SUCCESS   0
#define	GSL_EBADTOL   13 /* user specified an invalid tolerance */
#define	GSL_ETOL   14 /* failed to reach the specified tolerance */
#define	GSL_ERROR(a, b)   oocoutE((TObject*)0,Eval) << "RooGaussKronrodIntegrator1D::integral() ERROR: " << a << endl ; return b ;
#define	GSL_DBL_MIN   2.2250738585072014e-308
#define	GSL_DBL_EPSILON   2.2204460492503131e-16

Typedefs
typedef struct gsl_function_struct	gsl_function

Functions
	ClassImp (RooGaussKronrodIntegrator1D)
int	gsl_integration_qng (const gsl_function *f, double a, double b, double epsabs, double epsrel, double *result, double *abserr, size_t *neval)
double	RooGaussKronrodIntegrator1D_GSL_GlueFunction (double x, void *data)
static double	rescale_error (double err, const double result_abs, const double result_asc)

Variables
static const double	x1 [5]
static const double	w10 [5]
static const double	x2 [5]
static const double	w21a [5]
static const double	w21b [6]
static const double	x3 [11]
static const double	w43a [10]
static const double	w43b [12]
static const double	x4 [22]
static const double	w87a [21]
static const double	w87b [23]

Macro Definition Documentation

#define GSL_DBL_EPSILON   2.2204460492503131e-16

Definition at line 271 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng(), and rescale_error().

#define GSL_DBL_MIN   2.2250738585072014e-308

Definition at line 270 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by rescale_error().

#define GSL_EBADTOL   13 /* user specified an invalid tolerance */

Definition at line 267 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

#define GSL_ERROR	(		a,
			b
	)		oocoutE((TObject*)0,Eval) << "RooGaussKronrodIntegrator1D::integral() ERROR: " << a << endl ; return b ;

Definition at line 269 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

#define GSL_ETOL   14 /* failed to reach the specified tolerance */

Definition at line 268 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

#define GSL_FN_EVAL	(		F,
			x
	)		(*((F)->function))(x,(F)->params)

Definition at line 73 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

#define GSL_SUCCESS   0

Definition at line 266 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

Typedef Documentation

typedef struct gsl_function_struct gsl_function

Definition at line 72 of file RooGaussKronrodIntegrator1D.cxx.

Function Documentation

ClassImp

(

RooGaussKronrodIntegrator1D

)

int gsl_integration_qng	(	const gsl_function *	f,
		double	a,
		double	b,
		double	epsabs,
		double	epsrel,
		double *	result,
		double *	abserr,
		size_t *	neval
	)

Definition at line 496 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by RooGaussKronrodIntegrator1D::integral(), and ROOT::Math::GSLIntegrator::Integral().

static double rescale_error ( double  err, const double  result_abs, const double  result_asc  )

static

Definition at line 288 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

double RooGaussKronrodIntegrator1D_GSL_GlueFunction	(	double	x,
		void *	data
	)

Definition at line 205 of file RooGaussKronrodIntegrator1D.cxx.

Variable Documentation

const double w10[5]

static

Initial value:

= {
  0.066671344308688137593568809893332,
  0.149451349150580593145776339657697,
  0.219086362515982043995534934228163,
  0.269266719309996355091226921569469,
  0.295524224714752870173892994651338
}

Definition at line 335 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

const double w21a[5]

static

Initial value:

= {
  0.032558162307964727478818972459390,
  0.075039674810919952767043140916190,
  0.109387158802297641899210590325805,
  0.134709217311473325928054001771707,
  0.147739104901338491374841515972068
}

Definition at line 353 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

const double w21b[6]

static

Initial value:

= {
  0.011694638867371874278064396062192,
  0.054755896574351996031381300244580,
  0.093125454583697605535065465083366,
  0.123491976262065851077958109831074,
  0.142775938577060080797094273138717,
  0.149445554002916905664936468389821
}

Definition at line 362 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

const double w43a[10]

static

Initial value:

= {
  0.016296734289666564924281974617663,
  0.037522876120869501461613795898115,
  0.054694902058255442147212685465005,
  0.067355414609478086075553166302174,
  0.073870199632393953432140695251367,
  0.005768556059769796184184327908655,
  0.027371890593248842081276069289151,
  0.046560826910428830743339154433824,
  0.061744995201442564496240336030883,
  0.071387267268693397768559114425516
}

Definition at line 387 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

const double w43b[12]

static

Initial value:

= {
  0.001844477640212414100389106552965,
  0.010798689585891651740465406741293,
  0.021895363867795428102523123075149,
  0.032597463975345689443882222526137,
  0.042163137935191811847627924327955,
  0.050741939600184577780189020092084,
  0.058379395542619248375475369330206,
  0.064746404951445885544689259517511,
  0.069566197912356484528633315038405,
  0.072824441471833208150939535192842,
  0.074507751014175118273571813842889,
  0.074722147517403005594425168280423
}

Definition at line 401 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

const double w87a[21]

static

Initial value:

= {
  0.008148377384149172900002878448190,
  0.018761438201562822243935059003794,
  0.027347451050052286161582829741283,
  0.033677707311637930046581056957588,
  0.036935099820427907614589586742499,
  0.002884872430211530501334156248695,
  0.013685946022712701888950035273128,
  0.023280413502888311123409291030404,
  0.030872497611713358675466394126442,
  0.035693633639418770719351355457044,
  0.000915283345202241360843392549948,
  0.005399280219300471367738743391053,
  0.010947679601118931134327826856808,
  0.016298731696787335262665703223280,
  0.021081568889203835112433060188190,
  0.025370969769253827243467999831710,
  0.029189697756475752501446154084920,
  0.032373202467202789685788194889595,
  0.034783098950365142750781997949596,
  0.036412220731351787562801163687577,
  0.037253875503047708539592001191226
}

Definition at line 443 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

const double w87b[23]

static

Initial value:

= {
  0.000274145563762072350016527092881,
  0.001807124155057942948341311753254,
  0.004096869282759164864458070683480,
  0.006758290051847378699816577897424,
  0.009549957672201646536053581325377,
  0.012329447652244853694626639963780,
  0.015010447346388952376697286041943,
  0.017548967986243191099665352925900,
  0.019938037786440888202278192730714,
  0.022194935961012286796332102959499,
  0.024339147126000805470360647041454,
  0.026374505414839207241503786552615,
  0.028286910788771200659968002987960,
  0.030052581128092695322521110347341,
  0.031646751371439929404586051078883,
  0.033050413419978503290785944862689,
  0.034255099704226061787082821046821,
  0.035262412660156681033782717998428,
  0.036076989622888701185500318003895,
  0.036698604498456094498018047441094,
  0.037120549269832576114119958413599,
  0.037334228751935040321235449094698,
  0.037361073762679023410321241766599
}

Definition at line 468 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by gsl_integration_qng().

const double x1[5]

static

Initial value:

= {
  0.973906528517171720077964012084452,
  0.865063366688984510732096688423493,
  0.679409568299024406234327365114874,
  0.433395394129247190799265943165784,
  0.148874338981631210884826001129720
}

Definition at line 326 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by accents(), TH2Poly::AddBin(), TViewer3DPad::AddObject(), RooCurve::addPoints(), TLatex::Analyse(), ROOT::Math::GoFTest::AndersonDarlingTest(), RooCurve::average(), bars(), blendpd(), blendps(), box(), RooIntegralMorph::MorphCacheElem::calculate(), RooIntegralMorph::MorphCacheElem::calcX(), TClass::CanSplit(), TPostScript::CellArrayBegin(), city_distance(), TPad::Clip(), TPad::ClipPolygon(), TKDE::ComputeDataStats(), TGeoArb8::ComputeNormal(), TGDMLWrite::CreateFakeCtub(), TPoints3DABC::DistancetoLine(), TAttLine::DistancetoLine(), TPointsArray3D::DistancetoPrimitive(), TPolyMarker3D::DistancetoPrimitive(), TPolyLine3D::DistancetoPrimitive(), TLine::DistancetoPrimitive(), TPrimary::DistancetoPrimitive(), THistPainter::DistancetoPrimitive(), TGeoTrack::DistancetoPrimitive(), TMarker3DBox::DistancetoPrimitive(), TParallelCoord::DistancetoPrimitive(), TParticle::DistancetoPrimitive(), TGTextLayout::DistanceToText(), TGeoEltu::DistFromInside(), TGeoArb8::DistToPlane(), TStructViewerGUI::Divide(), TPad::Divide(), TProofProgressDialog::DoPlotRateGraph(), TGDoubleHSlider::DoRedraw(), RooStats::HypoTestInverterPlot::Draw(), RooStats::LikelihoodIntervalPlot::Draw(), TMVA::draw_layer_labels(), TGQuartz::DrawBox(), TSVG::DrawBox(), TImageDump::DrawBox(), TPDF::DrawBox(), TPostScript::DrawBox(), TGLPadPainter::DrawBox(), TASImage::DrawCellArray(), TGX11::DrawCellArray(), TGWin32::DrawCellArray(), TPad::DrawClassObject(), TPad::DrawColorTable(), TASImage::DrawDashHLine(), TASImage::DrawDashZLine(), TASImage::DrawDashZTLine(), TPad::DrawDist(), TASImage::DrawHLine(), TASImage::DrawLineInternal(), TGLPadPainter::DrawPolyLineNDC(), drr_find_method_prototype(), drr_map_args2(), TCreatePrimitives::Ellipse(), TSpectrum2Painter::Envelope(), TSpectrum2Painter::EnvelopeBars(), RooBukinPdf::evaluate(), ROOT::Fit::FitUtil::EvaluateChi2(), ROOT::Fit::FitUtil::EvaluateChi2Gradient(), ROOT::Fit::FitUtil::EvaluateChi2Residual(), ROOT::Fit::FitUtil::EvaluatePoissonBinPdf(), ROOT::Fit::FitUtil::EvaluatePoissonLogL(), ROOT::Fit::FitUtil::EvaluatePoissonLogLGradient(), TAxis3D::ExecuteEvent(), THistPainter::ExecuteEvent(), TPad::ExecuteEvent(), TWinNTSystem::ExpandPathName(), TNtupleD::Fill(), TNtuple::Fill(), TPainter3dAlgorithms::FillPolygonBorder(), findBin(), TView3D::FindPhiSectors(), RooIntegralMorph::MorphCacheElem::findRange(), TPainter3dAlgorithms::FindVisibleDraw(), TPainter3dAlgorithms::FindVisibleLine(), HFit::Fit(), fractions(), frombuf(), GAMinTutorial(), ROOT::Math::DistSampler::Generate(), TMathText::GetBoundingBox(), TText::GetBoundingBox(), TLatex::GetBoundingBox(), TGraph2DPainter::GetContourList(), TView3D::GetDistancetoAxis(), HFit::GetDrawingRange(), TUnfoldBinning::GetGlobalBinNumber(), THistPainter::GetObjectInfo(), TMathText::GetXsize(), TMathText::GetYsize(), TPainter3dAlgorithms::GouraudFunction(), greekletters(), gsl_integration_qng(), TGDNDManager::HandleClientMessage(), RooHist::hasIdenticalBinning(), ROOT::Math::Cephes::igami(), TPainter3dAlgorithms::ImplicitFunction(), ROOT::Math::Cephes::incbi(), TGeoArb8::InsidePolygon(), TInspectCanvas::InspectObject(), TF1::IntegralError(), TH2::Interpolate(), TH1::Interpolate(), TGraphDelaunay::InterpolateOnPlane(), TGTextLayout::IntersectText(), IsEqual(), TGeoPolygon::IsIllegalCheck(), TFileHandler::IsReadReady(), TGeoShape::IsSegCrossing(), itbold(), kerning(), TEveStraightLineSet::Line_t::Line_t(), Roo2DKeysPdf::loadDataSet(), RooKeysPdf::LoadDataSet(), mathsymbols(), TGHtml::MinMax(), TMinuit::mncros(), TMinuit::mnprin(), TPainter3dAlgorithms::ModifyScreen(), ROOT::Math::Cephes::ndtri(), TMVA::VariableGaussTransform::OldCumulant(), ROOT::Minuit2::Quad12F::operator()(), ROOT::Minuit2::MnParabolaFactory::operator()(), ROOT::Minuit2::MnFunctionCross::operator()(), operator==(), TPavesText::Paint(), TDiamond::Paint(), TPaveStats::Paint(), TSpectrum2Painter::Paint(), TGaxis::Paint(), TASImage::Paint(), THistPainter::Paint2DErrors(), THistPainter::PaintArrows(), TAxis3D::PaintAxis(), TGaxis::PaintAxis(), TPad::PaintBox(), THistPainter::PaintContourLine(), TWbox::PaintFrame(), TGLAxis::PaintGLAxis(), TGraphPainter::PaintGraph(), TGraphPainter::PaintGraphPolar(), TPad::PaintHatches(), TParallelCoordVar::PaintHistogram(), THistPainter::PaintLegoAxis(), TGraph2DPainter::PaintLevels(), TPad::PaintLine(), TPave::PaintPave(), TPaveLabel::PaintPaveLabel(), TPad::PaintPolyLine(), TGraphPainter::PaintPolyLineHatches(), TLegend::PaintPrimitives(), TPaveText::PaintPrimitives(), TMVA::paracoor(), TMVA::plot_efficiencies(), RooFitResult::plotOn(), TPolyLineShape::PointDistancetoPrimitive(), printCheb(), TGX11::PutImage(), TGWin32::PutImage(), TPad::Range(), TGLAnnotation::Render(), TGLScene::RenderHighlight(), TEveCaloLegoOverlay::RenderLogaritmicScales(), TGX11TTF::RenderString(), TGWin32::RenderString(), TGQuartz::RenderTTFString(), TRandom3::Rndm(), ROOT::Math::MersenneTwisterEngine::Rndm_impl(), TRandom3::RndmArray(), RooHist::RooHist(), TFoam::RootPlot2dim(), TMVA::PDEFoam::RootPlot2dim(), roots(), ROOT::Math::VavilovAccurate::Rzero(), TGeoEltu::Safety(), TGeoTrap::Safety(), ROOT::Math::VavilovAccurate::Set(), TEveCaloLegoGL::SetAxis3DTitlePos(), TGLAxisPainterBox::SetAxis3DTitlePos(), TCurlyLine::SetBBoxCenter(), TCurlyArc::SetBBoxX1(), TEllipse::SetBBoxX1(), TEveCaloLegoGL::Cell2D_t::SetGeom(), TEveStraightLineSet::SetLine(), RooStats::LikelihoodIntervalPlot::SetRange(), TView3D::SetRange(), TLine::SetX1(), TBox::SetX1(), TEllipse::SetX1(), TPave::SetX1(), TPave::SetX1NDC(), TShape::ShapeDistancetoPrimitive(), TGeoPainter::ShapeDistancetoPrimitive(), TClassTree::ShowCod(), TPad::ShowGuidelines(), TClassTree::ShowHas(), TClassTree::ShowMul(), TClassTree::ShowRef(), slash(), splitline(), style(), subsupscript(), subsupscript2(), TBox::TBox(), TCurlyArc::TCurlyArc(), TCurlyLine::TCurlyLine(), TEllipse::TEllipse(), testChebyQuad(), testIntegPerf(), testMultinomial(), TPDF::Text(), TLine::TLine(), TMonitor::TMonitor(), tobuf(), ROOT::Math::Transform3D::Transform3D(), TGDMLParse::Trap(), TGDMLParse::Trd(), TGDMLParse::TwistTrap(), TRandom::Uniform(), unuranDistr(), unuranSimple(), WoodFunction(), and TGraph::Zero().

const double x2[5]

static

Initial value:

= {
  0.995657163025808080735527280689003,
  0.930157491355708226001207180059508,
  0.780817726586416897063717578345042,
  0.562757134668604683339000099272694,
  0.294392862701460198131126603103866
}

Definition at line 344 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by accents(), TH2Poly::AddBin(), RooCurve::addPoints(), RooCurve::addRange(), TLatex::Analyse(), RooCurve::average(), bars(), blendpd(), blendps(), ROOT::Math::VectorUtil::boost(), ROOT::Math::VectorUtil::boostX(), TMVA::VariableTransformBase::CalcNorm(), TMVA::TransformationHandler::CalcStats(), RooIntegralMorph::MorphCacheElem::calculate(), RooIntegralMorph::MorphCacheElem::calcX(), city_distance(), TPad::Clip(), TPad::ClipPolygon(), TKDE::ComputeDataStats(), TGeoArb8::ComputeNormal(), TGDMLWrite::CreateFakeCtub(), TPoints3DABC::DistancetoLine(), TAttLine::DistancetoLine(), TPolyLine3D::DistancetoPrimitive(), TLine::DistancetoPrimitive(), TPrimary::DistancetoPrimitive(), TGeoTrack::DistancetoPrimitive(), TMarker3DBox::DistancetoPrimitive(), TParallelCoord::DistancetoPrimitive(), TParticle::DistancetoPrimitive(), TGTextLayout::DistanceToText(), TGeoEltu::DistFromInside(), TGeoArb8::DistToPlane(), TPad::Divide(), TGDoubleHSlider::DoRedraw(), RooStats::HypoTestInverterPlot::Draw(), RooStats::LikelihoodIntervalPlot::Draw(), TMVA::draw_layer_labels(), TGQuartz::DrawBox(), TSVG::DrawBox(), TImageDump::DrawBox(), TPDF::DrawBox(), TPostScript::DrawBox(), TGLPadPainter::DrawBox(), TPad::DrawClassObject(), TPad::DrawColorTable(), TASImage::DrawDashHLine(), TASImage::DrawDashZLine(), TASImage::DrawDashZTLine(), TPad::DrawDist(), TASImage::DrawHLine(), TASImage::DrawLineInternal(), TSpectrum2Painter::Envelope(), TSpectrum2Painter::EnvelopeBars(), RooChebychev::evalAnaInt(), RooChebychev::evaluate(), RooBukinPdf::evaluate(), ROOT::Fit::FitUtil::EvaluateChi2(), ROOT::Fit::FitUtil::EvaluateChi2Gradient(), ROOT::Fit::FitUtil::EvaluateChi2Residual(), ROOT::Fit::FitUtil::EvaluatePoissonBinPdf(), ROOT::Fit::FitUtil::EvaluatePoissonLogL(), ROOT::Fit::FitUtil::EvaluatePoissonLogLGradient(), TText::ExecuteEvent(), THistPainter::ExecuteEvent(), TPad::ExecuteEvent(), ROOT::Vc::Common::exp(), vdt::fast_atan(), vdt::fast_atanf(), vdt::fast_expf(), vdt::fast_isqrt_general(), vdt::fast_isqrtf_general(), vdt::fast_log(), vdt::fast_logf(), TNtupleD::Fill(), TNtuple::Fill(), TPainter3dAlgorithms::FillPolygonBorder(), TView3D::FindPhiSectors(), RooIntegralMorph::MorphCacheElem::findRange(), TPainter3dAlgorithms::FindVisibleDraw(), TPainter3dAlgorithms::FindVisibleLine(), HFit::Fit(), fractions(), GAMinTutorial(), ROOT::Math::DistSampler::Generate(), RooMultiVarGaussian::generateEvent(), vdt::details::get_atan_px(), vdt::details::get_atan_qx(), TText::GetBoundingBox(), TLatex::GetBoundingBox(), TGraph2DPainter::GetContourList(), TView3D::GetDistancetoAxis(), HFit::GetDrawingRange(), TUnfoldBinning::GetGlobalBinNumber(), TPainter3dAlgorithms::GouraudFunction(), greekletters(), gsl_integration_qng(), RooHist::hasIdenticalBinning(), TPainter3dAlgorithms::ImplicitFunction(), ROOT::Minuit2::GaussFcn2::Init(), TGeoArb8::InsidePolygon(), TInspectCanvas::InspectObject(), TF1::IntegralError(), TH2::Interpolate(), TGraphDelaunay::InterpolateOnPlane(), TGTextLayout::IntersectText(), ROOT::Math::MinimTransformFunction::InvStepTransformation(), IsEqual(), TGeoPolygon::IsIllegalCheck(), TGeoShape::IsSegCrossing(), TFileHandler::IsWriteReady(), itbold(), kerning(), TEveStraightLineSet::Line_t::Line_t(), RooKeysPdf::LoadDataSet(), ROOT::Vc::Common::LogImpl< Base >::log_series(), main(), TF1Convolution::MakeFFTConv(), TEveCaloLegoGL::MakeQuad(), mathsymbols(), TGHtml::MinMax(), TMinuit::mncros(), TMinuit::mnpfit(), TMinuit::mnprin(), TPainter3dAlgorithms::ModifyScreen(), ROOT::Minuit2::MnParabolaFactory::operator()(), ROOT::Minuit2::MnFunctionCross::operator()(), operator==(), TPavesText::Paint(), TDiamond::Paint(), TPaveStats::Paint(), TSpectrum2Painter::Paint(), TGaxis::Paint(), TASImage::Paint(), THistPainter::Paint2DErrors(), THistPainter::PaintArrows(), TAxis3D::PaintAxis(), TPad::PaintBox(), TWbox::PaintFrame(), TGLAxis::PaintGLAxis(), TGraphPainter::PaintGraphPolar(), TPad::PaintHatches(), TParallelCoordVar::PaintHistogram(), THistPainter::PaintLegoAxis(), TGraph2DPainter::PaintLevels(), TPad::PaintLine(), THistPainter::PaintPalette(), TPave::PaintPave(), TPaveLabel::PaintPaveLabel(), TPad::PaintPolyLine(), TGraphPainter::PaintPolyLineHatches(), TLegend::PaintPrimitives(), TPaveText::PaintPrimitives(), TMVA::paracoor(), TMVA::plot_efficiencies(), RooFitResult::plotOn(), TGX11::PutImage(), TGWin32::PutImage(), TPad::Range(), TGLAnnotation::Render(), RooCurve::RooCurve(), RooHist::RooHist(), TFoam::RootPlot2dim(), TMVA::PDEFoam::RootPlot2dim(), roots(), ROOT::Math::VectorUtil::Rotate(), ROOT::Math::VectorUtil::RotateY(), ROOT::Math::VectorUtil::RotateZ(), ROOT::Math::VavilovAccurate::Rzero(), TGeoTrap::Safety(), TCurlyLine::SetBBoxCenter(), TCurlyArc::SetBBoxX2(), TEllipse::SetBBoxX2(), ROOT::Math::VavilovFast::SetKappaBeta2(), TEveStraightLineSet::SetLine(), RooStats::LikelihoodIntervalPlot::SetRange(), TLine::SetX2(), TBox::SetX2(), TPave::SetX2(), TPave::SetX2NDC(), TPad::ShowGuidelines(), slash(), splitline(), style(), subsupscript(), subsupscript2(), TBox::TBox(), TCurlyLine::TCurlyLine(), test8(), test_smatrix_kalman(), test_smatrix_sym_kalman(), test_tmatrix_kalman(), testIntegPerf(), testMultinomial(), testProduct(), TPDF::Text(), TLine::TLine(), TMonitor::TMonitor(), ROOT::Math::Transform3D::Transform3D(), TGDMLParse::Trap(), TGDMLParse::Trd(), TGDMLParse::TwistTrap(), unuranDistr(), unuranSimple(), and TGraph::Zero().

const double x3[11]

static

Initial value:

= {
  0.999333360901932081394099323919911,
  0.987433402908088869795961478381209,
  0.954807934814266299257919200290473,
  0.900148695748328293625099494069092,
  0.825198314983114150847066732588520,
  0.732148388989304982612354848755461,
  0.622847970537725238641159120344323,
  0.499479574071056499952214885499755,
  0.364901661346580768043989548502644,
  0.222254919776601296498260928066212,
  0.074650617461383322043914435796506
}

Definition at line 372 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by TGColorPick::AllocColors(), TLatex::Analyse(), blendpd(), blendps(), TGeoEltu::DistFromInside(), TGeoEltu::DistFromOutside(), TNtupleD::Fill(), TNtuple::Fill(), TUnfoldBinning::GetGlobalBinNumber(), gsl_integration_qng(), TGraphDelaunay::InterpolateOnPlane(), TGeoPolygon::IsIllegalCheck(), TGeoShape::IsSegCrossing(), ROOT::Vc::Common::LogImpl< Base >::log_series(), TGHtml::MinMax(), TMinuit::mnpfit(), TMinuit::mnprin(), ROOT::Minuit2::MnParabolaFactory::operator()(), TSpectrum2Painter::Paint(), TGraphPainter::PaintPolyLineHatches(), ROOT::Math::VavilovAccurate::Rzero(), ROOT::Math::VavilovFast::SetKappaBeta2(), TGDMLParse::Trap(), and TGDMLParse::TwistTrap().

const double x4[22]

static

Initial value:

= {
  0.999902977262729234490529830591582,
  0.997989895986678745427496322365960,
  0.992175497860687222808523352251425,
  0.981358163572712773571916941623894,
  0.965057623858384619128284110607926,
  0.943167613133670596816416634507426,
  0.915806414685507209591826430720050,
  0.883221657771316501372117548744163,
  0.845710748462415666605902011504855,
  0.803557658035230982788739474980964,
  0.757005730685495558328942793432020,
  0.706273209787321819824094274740840,
  0.651589466501177922534422205016736,
  0.593223374057961088875273770349144,
  0.531493605970831932285268948562671,
  0.466763623042022844871966781659270,
  0.399424847859218804732101665817923,
  0.329874877106188288265053371824597,
  0.258503559202161551802280975429025,
  0.185695396568346652015917141167606,
  0.111842213179907468172398359241362,
  0.037352123394619870814998165437704
}

Definition at line 417 of file RooGaussKronrodIntegrator1D.cxx.

Referenced by TLatex::Analyse(), blendps(), TPad::Clip(), TNtupleD::Fill(), TNtuple::Fill(), gsl_integration_qng(), TGeoPolygon::IsIllegalCheck(), TGeoShape::IsSegCrossing(), ROOT::Vc::Common::LogImpl< Base >::log_series(), TMinuit::mnpfit(), TSpectrum2Painter::Paint(), TGDMLParse::Trap(), and TGDMLParse::TwistTrap().