Provides Xfem interface for an element. More...

#include <xfemelementinterface.h>

Inheritance diagram for oofem::XfemElementInterface:

Collaboration diagram for oofem::XfemElementInterface:

Public Member Functions
virtual const char *	giveClassName () const

std::string	errorInfo (const char *func) const

	XfemElementInterface (Element *e)
	Constructor. More...

virtual	~XfemElementInterface ()

	XfemElementInterface (const XfemElementInterface &src)=delete

XfemElementInterface &	operator= (const XfemElementInterface &src)=delete

void	XfemElementInterface_createEnrBmatrixAt (FloatMatrix &oAnswer, GaussPoint &iGP, Element &iEl)
	Creates enriched B-matrix. More...

void	XfemElementInterface_createEnrBHmatrixAt (FloatMatrix &oAnswer, GaussPoint &iGP, Element &iEl)
	Creates enriched BH-matrix. More...

void	ComputeBOrBHMatrix (FloatMatrix &oAnswer, GaussPoint &iGP, Element &iEl, bool iComputeBH, const FloatArray &iNaturalGpCoord)
	Help function for computation of B and BH. More...

void	XfemElementInterface_createEnrNmatrixAt (FloatMatrix &oAnswer, const FloatArray &iLocCoord, Element &iEl, bool iSetDiscontContribToZero)
	Creates enriched N-matrix. More...

void	XfemElementInterface_createEnrNmatrixAt (FloatMatrix &oAnswer, const FloatArray &iLocCoord, Element &iEl, const std::vector< int > &iLocNodeInd, bool iSetDiscontContribToZero)
	Creates enriched N-matrix for a chosen subset of element nodes. More...

int	XfemElementInterface_giveNumDofManEnrichments (const DofManager &iDMan, XfemManager &iXMan) const
	Computes total number of enrichments in a node. More...

virtual void	XfemElementInterface_partitionElement (std::vector< Triangle > &oTriangles, const std::vector< FloatArray > &iPoints)
	Partitions the element into patches by a triangulation. More...

virtual bool	XfemElementInterface_updateIntegrationRule ()
	Updates integration rule based on the triangulation. More...

virtual void	XfemElementInterface_prepareNodesForDelaunay (std::vector< std::vector< FloatArray > > &oPointPartitions, double &oCrackStartXi, double &oCrackEndXi, int iEnrItemIndex, bool &oIntersection)
	Returns an array of array of points. Each array of points defines the points of a subregion of the element. More...

virtual void	XfemElementInterface_prepareNodesForDelaunay (std::vector< std::vector< FloatArray > > &oPointPartitions, double &oCrackStartXi, double &oCrackEndXi, const Triangle &iTri, int iEnrItemIndex, bool &oIntersection)

void	putPointsInCorrectPartition (std::vector< std::vector< FloatArray > > &oPointPartitions, const std::vector< FloatArray > &iIntersecPoints, const std::vector< const FloatArray * > &iNodeCoord) const

void	partitionEdgeSegment (int iBndIndex, std::vector< Line > &oSegments, std::vector< FloatArray > &oIntersectionPoints, const double &iTangDistPadding=0.0)
	Partition a boundary segment to account for cracks cutting the boundary. More...

MaterialMode	giveMaterialMode ()

void	updateYourselfCZ (TimeStep *tStep)

void	computeDisplacementJump (GaussPoint &iGP, FloatArray &oJump, const FloatArray &iSolVec, const FloatMatrix &iNMatrix)

void	computeNCohesive (FloatMatrix &oN, GaussPoint &iGP, int iEnrItemIndex, const std::vector< int > &iTouchingEnrItemIndices)
	Compute N-matrix for cohesive zone. More...

Public Member Functions inherited from oofem::Interface
	Interface ()
	Constructor. More...

virtual	~Interface ()

Public Attributes
Element *	element

std::vector< int >	mCZEnrItemIndices
	Index of enrichment items associated with cohesive zones. More...

std::vector< std::vector< int > >	mCZTouchingEnrItemIndices
	Indices of enrichment items that give cohesive zone contributions to a given GP, even though the GP is not located on any of these enrichment items. More...

bool	mUsePlaneStrain
	Flag that tells if plane stress or plane strain is assumed. More...

std::vector< std::unique_ptr< IntegrationRule > >	mpCZIntegrationRules

std::vector< std::unique_ptr< IntegrationRule > >	mpCZExtraIntegrationRules

std::vector< std::unique_ptr< IntegrationRule > >	mpCZIntegrationRules_tmp

std::vector< std::unique_ptr< IntegrationRule > >	mpCZExtraIntegrationRules_tmp

std::vector< std::unique_ptr< IntegrationRule > >	mIntRule_tmp

Detailed Description

Provides Xfem interface for an element.

Author: Erik Svenning

Definition at line 63 of file xfemelementinterface.h.

Constructor & Destructor Documentation

oofem::XfemElementInterface::XfemElementInterface ( Element * e )

Constructor.

Definition at line 55 of file xfemelementinterface.C.

References mpCZExtraIntegrationRules, and mpCZIntegrationRules.

oofem::XfemElementInterface::~XfemElementInterface ( )

virtual

Definition at line 64 of file xfemelementinterface.C.

oofem::XfemElementInterface::XfemElementInterface ( const XfemElementInterface & src )

delete

Member Function Documentation

void oofem::XfemElementInterface::ComputeBOrBHMatrix	(	FloatMatrix &	oAnswer,
		GaussPoint &	iGP,
		Element &	iEl,
		bool	iComputeBH,
		const FloatArray &	iNaturalGpCoord
	)

Help function for computation of B and BH.

Avoid duplication of code.

Definition at line 77 of file xfemelementinterface.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), oofem::Element::computeLocalCoordinates(), element, oofem::FEInterpolation::evaldNdx(), oofem::FEInterpolation::evalN(), oofem::EnrichmentItem::evaluateEnrFuncAt(), oofem::EnrichmentItem::evaluateEnrFuncDerivAt(), oofem::EnrichmentItem::evaluateEnrFuncInNode(), oofem::Element::giveDofManager(), oofem::Element::giveDofManArray(), oofem::FEMComponent::giveDomain(), oofem::XfemManager::giveEnrDofScaleFactor(), oofem::XfemManager::giveEnrichmentItem(), oofem::DofManager::giveGlobalNumber(), oofem::Element::giveInterpolation(), oofem::Element::giveNode(), oofem::Node::giveNodeCoordinates(), oofem::XfemManager::giveNodeEnrichmentItemIndices(), oofem::Element::giveNumberOfDofManagers(), oofem::Domain::giveXfemManager(), oofem::Domain::hasXfemManager(), oofem::EnrichmentItem::isDofManEnriched(), mUsePlaneStrain, N, oofem::FloatArray::resize(), oofem::FloatMatrix::resize(), oofem::FloatMatrix::setSubMatrix(), and XfemElementInterface_giveNumDofManEnrichments().

Referenced by oofem::XfemStructuralElementInterface::computeCohesiveForces(), oofem::XfemStructuralElementInterface::computeCohesiveTangent(), XfemElementInterface_createEnrBHmatrixAt(), and XfemElementInterface_createEnrBmatrixAt().

void oofem::XfemElementInterface::computeDisplacementJump	(	oofem::GaussPoint &	iGP,
		oofem::FloatArray &	oJump,
		const FloatArray &	iSolVec,
		const FloatMatrix &	iNMatrix
	)

Definition at line 1002 of file xfemelementinterface.C.

References oofem::FloatArray::beProductOf(), and oofem::FloatArray::resize().

Referenced by oofem::XfemStructuralElementInterface::computeCohesiveForces(), and oofem::XfemStructuralElementInterface::computeCohesiveTangent().

void oofem::XfemElementInterface::computeNCohesive	(	FloatMatrix &	oN,
		GaussPoint &	iGP,
		int	iEnrItemIndex,
		const std::vector< int > &	iTouchingEnrItemIndices
	)

Compute N-matrix for cohesive zone.

Definition at line 1009 of file xfemelementinterface.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::beNMatrixOf(), oofem::Element::computeLocalCoordinates(), element, oofem::FEInterpolation::evalN(), oofem::GeometryBasedEI::evaluateEnrFuncJumps(), oofem::Element::giveDofManager(), oofem::FEMComponent::giveDomain(), oofem::XfemManager::giveEnrDofScaleFactor(), oofem::XfemManager::giveEnrichmentItem(), oofem::GaussPoint::giveGlobalCoordinates(), oofem::DofManager::giveGlobalNumber(), oofem::Element::giveInterpolation(), oofem::XfemManager::giveNodeEnrichmentItemIndices(), oofem::Element::giveNumberOfDofManagers(), oofem::EnrichmentItem::giveNumDofManEnrichments(), oofem::Domain::giveXfemManager(), oofem::EnrichmentItem::isDofManEnriched(), oofem::FloatArray::resize(), XfemElementInterface_giveNumDofManEnrichments(), and oofem::FloatArray::zero().

Referenced by oofem::XfemStructuralElementInterface::computeCohesiveForces(), and oofem::XfemStructuralElementInterface::computeCohesiveTangent().

std :: string oofem::XfemElementInterface::errorInfo ( const char * func ) const

inline

Definition at line 83 of file xfemelementinterface.h.

virtual const char* oofem::XfemElementInterface::giveClassName ( ) const

inlinevirtual

Implements oofem::Interface.

Reimplemented in oofem::Shell7BaseXFEM, oofem::Tr2Shell7XFEM, oofem::TrPlaneStress2dXFEM, oofem::QTrPlaneStress2dXFEM, and oofem::PlaneStress2dXfem.

Definition at line 82 of file xfemelementinterface.h.

MaterialMode oofem::XfemElementInterface::giveMaterialMode ( )

Definition at line 974 of file xfemelementinterface.C.

References mUsePlaneStrain.

Referenced by oofem::QTrPlaneStress2dXFEM::giveMaterialMode(), oofem::PlaneStress2dXfem::giveMaterialMode(), and oofem::TrPlaneStress2dXFEM::giveMaterialMode().

XfemElementInterface& oofem::XfemElementInterface::operator= ( const XfemElementInterface & src )

delete

void oofem::XfemElementInterface::partitionEdgeSegment	(	int	iBndIndex,
		std::vector< Line > &	oSegments,
		std::vector< FloatArray > &	oIntersectionPoints,
		const double &	iTangDistPadding = `0.0`
	)

Partition a boundary segment to account for cracks cutting the boundary.

This is a necessary step to evaluate integrals along an edge cut by one or several cracks.

Definition at line 852 of file xfemelementinterface.C.

References oofem::IntArray::at(), oofem::FloatArray::at(), oofem::EnrichmentItem::calcXiZeroLevel(), oofem::Element::computeLocalCoordinates(), oofem::FEInterpolation2d::computeLocalEdgeMapping(), element, oofem::EnrichmentItem::evalLevelSetNormalInNode(), oofem::EnrichmentItem::evalLevelSetTangInNode(), oofem::FEInterpolation::evalN(), oofem::Node::giveCoordinates(), oofem::Element::giveDofManager(), oofem::Element::giveDofManArray(), oofem::FEMComponent::giveDomain(), oofem::XfemManager::giveEnrichmentItem(), oofem::Element::giveInterpolation(), oofem::Element::giveNode(), oofem::XfemManager::giveNumberOfEnrichmentItems(), oofem::FloatArray::giveSize(), oofem::Domain::giveXfemManager(), min, OOFEM_ERROR, and oofem::FloatArray::resize().

Referenced by oofem::PrescribedGradientBCWeak::findCrackBndIntersecCoord(), and oofem::PrescribedGradientBCNeumann::integrateTangent().

void oofem::XfemElementInterface::putPointsInCorrectPartition	(	std::vector< std::vector< FloatArray > > &	oPointPartitions,
		const std::vector< FloatArray > &	iIntersecPoints,
		const std::vector< const FloatArray * > &	iNodeCoord
	)		const

Definition at line 824 of file xfemelementinterface.C.

Referenced by XfemElementInterface_prepareNodesForDelaunay().

void oofem::XfemElementInterface::updateYourselfCZ ( TimeStep * tStep )

Definition at line 983 of file xfemelementinterface.C.

References mpCZExtraIntegrationRules, and mpCZIntegrationRules.

Referenced by oofem::REGISTER_Element(), oofem::TrPlaneStress2dXFEM::updateYourself(), and oofem::QTrPlaneStress2dXFEM::updateYourself().

void oofem::XfemElementInterface::XfemElementInterface_createEnrBHmatrixAt	(	FloatMatrix &	oAnswer,
		GaussPoint &	iGP,
		Element &	iEl
	)

Creates enriched BH-matrix.

Definition at line 72 of file xfemelementinterface.C.

References ComputeBOrBHMatrix(), and oofem::GaussPoint::giveNaturalCoordinates().

Referenced by oofem::PlaneStress2dXfem::computeBHmatrixAt(), oofem::QTrPlaneStress2dXFEM::computeBHmatrixAt(), and oofem::TrPlaneStress2dXFEM::computeBHmatrixAt().

void oofem::XfemElementInterface::XfemElementInterface_createEnrBmatrixAt	(	FloatMatrix &	oAnswer,
		GaussPoint &	iGP,
		Element &	iEl
	)

Creates enriched B-matrix.

Definition at line 67 of file xfemelementinterface.C.

References ComputeBOrBHMatrix(), and oofem::GaussPoint::giveNaturalCoordinates().

Referenced by oofem::PlaneStress2dXfem::computeBmatrixAt(), oofem::QTrPlaneStress2dXFEM::computeBmatrixAt(), and oofem::TrPlaneStress2dXFEM::computeBmatrixAt().

void oofem::XfemElementInterface::XfemElementInterface_createEnrNmatrixAt	(	FloatMatrix &	oAnswer,
		const FloatArray &	iLocCoord,
		Element &	iEl,
		bool	iSetDiscontContribToZero
	)

Creates enriched N-matrix.

Definition at line 242 of file xfemelementinterface.C.

References oofem::Element::giveNumberOfDofManagers().

Referenced by oofem::PrescribedGradientBCWeak::assembleTangentGPContributionNew(), oofem::QTrPlaneStress2dXFEM::computeField(), oofem::TrPlaneStress2dXFEM::computeField(), oofem::PlaneStress2dXfem::computeNmatrixAt(), oofem::QTrPlaneStress2dXFEM::computeNmatrixAt(), oofem::TrPlaneStress2dXFEM::computeNmatrixAt(), oofem::XfemStructuralElementInterface::giveSubtriangulationCompositeExportData(), and oofem::PrescribedGradientBCNeumann::integrateTangent().

void oofem::XfemElementInterface::XfemElementInterface_createEnrNmatrixAt	(	FloatMatrix &	oAnswer,
		const FloatArray &	iLocCoord,
		Element &	iEl,
		const std::vector< int > &	iLocNodeInd,
		bool	iSetDiscontContribToZero
	)

Creates enriched N-matrix for a chosen subset of element nodes.

Definition at line 255 of file xfemelementinterface.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::beNMatrixOf(), oofem::Element::computeLocalCoordinates(), element, oofem::FEInterpolation::evalN(), oofem::EnrichmentItem::evaluateEnrFuncAt(), oofem::EnrichmentItem::evaluateEnrFuncInNode(), oofem::DofManager::giveCoordinate(), oofem::DofManager::giveCoordinates(), oofem::Element::giveDofManager(), oofem::Element::giveDofManArray(), oofem::Domain::giveDofManPlaceInArray(), oofem::FEMComponent::giveDomain(), oofem::XfemManager::giveEnrDofScaleFactor(), oofem::XfemManager::giveEnrichmentItem(), oofem::DofManager::giveGlobalNumber(), oofem::Element::giveInterpolation(), oofem::XfemManager::giveNodeEnrichmentItemIndices(), oofem::Element::giveNumberOfDofManagers(), oofem::Domain::giveXfemManager(), oofem::EnrichmentItem::isDofManEnriched(), oofem::FloatArray::resize(), XfemElementInterface_giveNumDofManEnrichments(), and oofem::FloatArray::zero().

int oofem::XfemElementInterface::XfemElementInterface_giveNumDofManEnrichments	(	const DofManager &	iDMan,
		XfemManager &	iXMan
	)		const

Computes total number of enrichments in a node.

Definition at line 360 of file xfemelementinterface.C.

References element, oofem::Domain::giveDofManPlaceInArray(), oofem::FEMComponent::giveDomain(), oofem::XfemManager::giveEnrichmentItem(), oofem::DofManager::giveGlobalNumber(), oofem::XfemManager::giveNodeEnrichmentItemIndices(), oofem::EnrichmentItem::giveNumDofManEnrichments(), and oofem::EnrichmentItem::isDofManEnriched().

Referenced by ComputeBOrBHMatrix(), computeNCohesive(), and XfemElementInterface_createEnrNmatrixAt().

void oofem::XfemElementInterface::XfemElementInterface_partitionElement	(	std::vector< Triangle > &	oTriangles,
		const std::vector< FloatArray > &	iPoints
	)

virtual

Partitions the element into patches by a triangulation.

Definition at line 376 of file xfemelementinterface.C.

References oofem::Delaunay::triangulate().

Referenced by oofem::Tr2Shell7XFEM::updateIntegrationRuleMultiCrack(), oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule(), and XfemElementInterface_updateIntegrationRule().

void oofem::XfemElementInterface::XfemElementInterface_prepareNodesForDelaunay	(	std::vector< std::vector< FloatArray > > &	oPointPartitions,
		double &	oCrackStartXi,
		double &	oCrackEndXi,
		int	iEnrItemIndex,
		bool &	oIntersection
	)

virtual

Returns an array of array of points. Each array of points defines the points of a subregion of the element.

Definition at line 478 of file xfemelementinterface.C.

References oofem::IntArray::at(), oofem::FEInterpolation::boundaryGiveNodes(), oofem::GeometryBasedEI::computeIntersectionPoints(), oofem::FloatArray::distance_square(), element, oofem::DofManager::giveCoordinates(), oofem::Element::giveDofManager(), oofem::FEMComponent::giveDomain(), oofem::GeometryBasedEI::giveElementTipCoord(), oofem::XfemManager::giveEnrichmentItem(), oofem::Element::giveInterpolation(), oofem::Element::giveNumberOfDofManagers(), oofem::FEInterpolation::giveNumberOfEdges(), oofem::IntArray::giveSize(), oofem::FloatArray::giveSize(), oofem::Domain::giveXfemManager(), max, min, OOFEM_ERROR, oofem::FloatArray::push_back(), putPointsInCorrectPartition(), oofem::FloatArray::resize(), oofem::FloatArray::resizeWithValues(), and oofem::FloatArray::zero().

Referenced by oofem::Tr2Shell7XFEM::updateIntegrationRuleMultiCrack(), oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule(), and XfemElementInterface_updateIntegrationRule().

void oofem::XfemElementInterface::XfemElementInterface_prepareNodesForDelaunay	(	std::vector< std::vector< FloatArray > > &	oPointPartitions,
		double &	oCrackStartXi,
		double &	oCrackEndXi,
		const Triangle &	iTri,
		int	iEnrItemIndex,
		bool &	oIntersection
	)

virtual

Definition at line 703 of file xfemelementinterface.C.

References oofem::GeometryBasedEI::computeIntersectionPoints(), element, oofem::DofManager::giveCoordinates(), oofem::Element::giveDofManager(), oofem::FEMComponent::giveDomain(), oofem::GeometryBasedEI::giveElementTipCoord(), oofem::XfemManager::giveEnrichmentItem(), oofem::FloatArray::giveSize(), oofem::BasicGeometry::giveVertex(), oofem::Domain::giveXfemManager(), max, min, oofem::FloatArray::push_back(), putPointsInCorrectPartition(), oofem::FloatArray::resize(), oofem::FloatArray::resizeWithValues(), and oofem::FloatArray::zero().

bool oofem::XfemElementInterface::XfemElementInterface_updateIntegrationRule ( )

virtual

Updates integration rule based on the triangulation.

Reimplemented in oofem::XfemStructuralElementInterface.

Definition at line 384 of file xfemelementinterface.C.

References element, oofem::FEMComponent::giveDomain(), oofem::XfemManager::giveDomain(), oofem::XfemManager::giveElementEnrichmentItemIndices(), oofem::Domain::giveElementPlaceInArray(), oofem::Element::giveGlobalNumber(), oofem::Element::giveMaterialMode(), oofem::XfemManager::giveNumGpPerTri(), oofem::XfemManager::giveVtkDebug(), oofem::Domain::giveXfemManager(), oofem::XfemManager::isElementEnriched(), oofem::Element::setIntegrationRules(), oofem::XFEMDebugTools::WriteTrianglesToVTK(), XfemElementInterface_partitionElement(), and XfemElementInterface_prepareNodesForDelaunay().

Referenced by oofem::XfemSolverInterface::propagateXfemInterfaces().

Member Data Documentation

Element* oofem::XfemElementInterface::element

Definition at line 66 of file xfemelementinterface.h.

std :: vector< int > oofem::XfemElementInterface::mCZEnrItemIndices

Index of enrichment items associated with cohesive zones.

Definition at line 70 of file xfemelementinterface.h.

Referenced by oofem::XfemStructuralElementInterface::computeCohesiveForces(), oofem::XfemStructuralElementInterface::computeCohesiveTangent(), and oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule().

std :: vector< std :: vector< int > > oofem::XfemElementInterface::mCZTouchingEnrItemIndices

Indices of enrichment items that give cohesive zone contributions to a given GP, even though the GP is not located on any of these enrichment items.

Definition at line 77 of file xfemelementinterface.h.

Referenced by oofem::XfemStructuralElementInterface::computeCohesiveForces(), oofem::XfemStructuralElementInterface::computeCohesiveTangent(), and oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule().

std :: vector< std :: unique_ptr< IntegrationRule > > oofem::XfemElementInterface::mIntRule_tmp

Definition at line 147 of file xfemelementinterface.h.

Referenced by oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule().

std :: vector< std :: unique_ptr< IntegrationRule > > oofem::XfemElementInterface::mpCZExtraIntegrationRules

Definition at line 141 of file xfemelementinterface.h.

Referenced by oofem::XfemStructuralElementInterface::computeCohesiveForces(), oofem::XfemStructuralElementInterface::computeCohesiveTangent(), updateYourselfCZ(), XfemElementInterface(), and oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule().

std :: vector< std :: unique_ptr< IntegrationRule > > oofem::XfemElementInterface::mpCZExtraIntegrationRules_tmp

Definition at line 146 of file xfemelementinterface.h.

Referenced by oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule().

std :: vector< std :: unique_ptr< IntegrationRule > > oofem::XfemElementInterface::mpCZIntegrationRules

Definition at line 138 of file xfemelementinterface.h.

Referenced by oofem::XfemStructuralElementInterface::computeCohesiveForces(), oofem::XfemStructuralElementInterface::computeCohesiveTangent(), oofem::OctreeSpatialLocalizer::giveClosestIP(), oofem::OctreeSpatialLocalizer::giveClosestIPWithinOctant(), oofem::OctreeSpatialLocalizer::giveElementsWithIPWithinBox(), updateYourselfCZ(), XfemElementInterface(), and oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule().

std :: vector< std :: unique_ptr< IntegrationRule > > oofem::XfemElementInterface::mpCZIntegrationRules_tmp

Definition at line 145 of file xfemelementinterface.h.

Referenced by oofem::XfemStructuralElementInterface::XfemElementInterface_updateIntegrationRule().

bool oofem::XfemElementInterface::mUsePlaneStrain

Flag that tells if plane stress or plane strain is assumed.

Definition at line 80 of file xfemelementinterface.h.

Referenced by ComputeBOrBHMatrix(), oofem::XfemStructuralElementInterface::giveCZInputRecord(), giveMaterialMode(), oofem::XfemStructuralElementInterface::initializeCZFrom(), oofem::XfemStructuralElementInterface::XfemElementInterface_computeConstitutiveMatrixAt(), and oofem::XfemStructuralElementInterface::XfemElementInterface_computeStressVector().

The documentation for this class was generated from the following files:

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation