#include <feinurbs.h>

Inheritance diagram for oofem::NURBSInterpolation:

Collaboration diagram for oofem::NURBSInterpolation:

Public Member Functions
	NURBSInterpolation (int nsd)
void	initializeFrom (InputRecord &ir, ParameterManager &pm, int elnum, int priority) override
	Initializes receiver according to object description stored in input record.
void	postInitialize (ParameterManager &pm, int elnum) override
void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	global2local (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
const char *	giveClassName () const
Public Member Functions inherited from oofem::BSplineInterpolation
	BSplineInterpolation (int nsd)
integrationDomain	giveIntegrationDomain (const Element_Geometry_Type egt) const override
const Element_Geometry_Type	giveGeometryType () const override
const Element_Geometry_Type	giveBoundaryGeometryType (int boundary) const override
integrationDomain	giveBoundaryIntegrationDomain (int ib, const Element_Geometry_Type) const override
	Returns boundary integration domain.
integrationDomain	giveBoundarySurfaceIntegrationDomain (int isurf, const Element_Geometry_Type) const override
	Returns boundary integration domain.
integrationDomain	giveBoundaryEdgeIntegrationDomain (int iedge, const Element_Geometry_Type) const override
	Returns boundary integration domain.
int	giveNsd (const Element_Geometry_Type) const override
IntArray	boundaryEdgeGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundaryEdgeLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEdgeEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundarySurfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundarySurfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
IntArray	boundarySurfaceGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
IntArray	boundaryGiveNodes (int boundary, const Element_Geometry_Type) const override
void	boundaryEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEvalNormal (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundaryLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	giveNumberOfKnotSpans (int dim) const override
virtual int	giveNumberOfControlPoints (int dim) const
const FloatArray *	giveKnotVector () const override
const IntArray *	giveKnotMultiplicity (int dim) const override
const FloatArray *	giveKnotValues (int dim) const override
int	giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask) const override
int	giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan) const override
const char *	giveClassName () const
bool	hasSubPatchFormulation () const override
std::unique_ptr< IntegrationRule >	giveIntegrationRule (int order, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveBoundaryIntegrationRule (int order, int boundary, Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary, Element_Geometry_Type) const override
Public Member Functions inherited from oofem::FEInterpolation
	FEInterpolation (int o)
virtual	~FEInterpolation ()=default
int	giveInterpolationOrder () const
virtual void	giveCellDofMans (IntArray &nodes, IntArray &internalDofMans, Element *elem) const
	Returns list of element nodes (and list of internal dof managers) (including on edges and surfaces) defining the approximation.
virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveLocalNodeCoords (FloatMatrix &answer, const Element_Geometry_Type) const
virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual std::unique_ptr< IntegrationRule >	giveBoundarySurfaceIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
virtual double	evalNXIntegral (int boundary, const FEICellGeometry &cellgeo) const
virtual void	surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const
virtual void	surfaceEvald2Ndxi2 (FloatMatrix &answer, const FloatArray &lcoords) const
virtual int	giveNumberOfEdges (const Element_Geometry_Type) const
virtual int	giveNumberOfNodes (const Element_Geometry_Type) const
virtual void	initializeCell (Element *e) const
std::string	errorInfo (const char *func) const

Protected Attributes
FloatArray	weights
Protected Attributes inherited from oofem::BSplineInterpolation
int	nsd
	Number of spatial directions.
std::array< int, 3 >	degree
	Degree in each direction.
std::array< FloatArray, 3 >	knotValues
	Knot values [nsd].
std::array< IntArray, 3 >	knotMultiplicity
	Knot multiplicity [nsd].
std::array< int, 3 >	numberOfControlPoints
	numberOfControlPoints[nsd]
std::array< FloatArray, 3 >	knotVector
	Knot vectors [nsd][knot_vector_size].
std::array< int, 3 >	numberOfKnotSpans
	Nonzero spans in each directions [nsd].
Protected Attributes inherited from oofem::FEInterpolation
int	order = 0

Static Protected Attributes
static ParamKey	IPK_NURBSInterpolation_weights
Static Protected Attributes inherited from oofem::BSplineInterpolation
static ParamKey	IPK_BSplineInterpolation_degree
static ParamKey	IPK_BSplineInterpolation_knotVectorU
static ParamKey	IPK_BSplineInterpolation_knotVectorV
static ParamKey	IPK_BSplineInterpolation_knotVectorW
static ParamKey	IPK_BSplineInterpolation_knotMultiplicityU
static ParamKey	IPK_BSplineInterpolation_knotMultiplicityV
static ParamKey	IPK_BSplineInterpolation_knotMultiplicityW

Additional Inherited Members
void	basisFuns (FloatArray &N, int span, double u, int p, const FloatArray &U) const
void	dersBasisFuns (int n, double u, int span, int p, const FloatArray &U, FloatMatrix &ders) const
int	findSpan (int n, int p, double u, const FloatArray &U) const
void	giveNonzeroBasisFuncInterval (int span, int deg, int &s, int &e) const

Detailed Description

Interpolation class for NURBS.

Definition at line 53 of file feinurbs.h.

Constructor & Destructor Documentation

◆ NURBSInterpolation()

oofem::NURBSInterpolation::NURBSInterpolation ( int nsd )

inline

Definition at line 60 of file feinurbs.h.

References oofem::BSplineInterpolation::BSplineInterpolation(), and oofem::BSplineInterpolation::nsd.

Member Function Documentation

◆ evaldNdx()

double oofem::NURBSInterpolation::evaldNdx	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. These derivatives are in global coordinate system (where the nodal coordinates are defined)

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNi/dxj.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the Jacobian.

Reimplemented from oofem::BSplineInterpolation.

Definition at line 130 of file feinurbs.C.

References oofem::BSplineInterpolation::degree, oofem::BSplineInterpolation::dersBasisFuns(), oofem::BSplineInterpolation::findSpan(), oofem::FloatMatrix::giveDeterminant(), oofem::BSplineInterpolation::giveNumberOfKnotSpanBasisFunctions(), oofem::FEICellGeometry::giveVertexCoordinates(), oofem::FEIIGAElementGeometryWrapper::knotSpan, oofem::BSplineInterpolation::knotVector, N, oofem::BSplineInterpolation::nsd, oofem::BSplineInterpolation::numberOfControlPoints, OOFEM_ERROR, oofem::product(), oofem::FloatArray::resize(), oofem::FloatMatrix::resize(), weights, oofem::FloatArray::zero(), and oofem::FloatMatrix::zero().

◆ evalN()

void oofem::NURBSInterpolation::evalN	(	FloatArray &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the array of interpolation functions (shape functions) at given point.

Parameters

answer	Contains resulting array of evaluated interpolation functions.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented from oofem::BSplineInterpolation.

Definition at line 62 of file feinurbs.C.

References oofem::FloatArray::at(), oofem::BSplineInterpolation::basisFuns(), oofem::BSplineInterpolation::degree, oofem::BSplineInterpolation::findSpan(), oofem::BSplineInterpolation::giveNumberOfKnotSpanBasisFunctions(), oofem::FEIIGAElementGeometryWrapper::knotSpan, oofem::BSplineInterpolation::knotVector, N, oofem::BSplineInterpolation::nsd, oofem::BSplineInterpolation::numberOfControlPoints, OOFEM_ERROR, oofem::FloatArray::resize(), oofem::sum(), oofem::FloatArray::times(), and weights.

◆ giveClassName()

const char * oofem::NURBSInterpolation::giveClassName ( ) const

inline

Definition at line 73 of file feinurbs.h.

◆ giveJacobianMatrixAt()

void oofem::NURBSInterpolation::giveJacobianMatrixAt	(	FloatMatrix &	jacobianMatrix,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Gives the jacobian matrix at the local coordinates.

Parameters

jacobianMatrix	The requested matrix.
lcoords	Local coordinates.
cellgeo	Element geometry.

Reimplemented from oofem::BSplineInterpolation.

Definition at line 656 of file feinurbs.C.

References oofem::BSplineInterpolation::degree, oofem::BSplineInterpolation::dersBasisFuns(), oofem::BSplineInterpolation::findSpan(), oofem::FEICellGeometry::giveVertexCoordinates(), oofem::FEIIGAElementGeometryWrapper::knotSpan, oofem::BSplineInterpolation::knotVector, oofem::BSplineInterpolation::nsd, oofem::BSplineInterpolation::numberOfControlPoints, OOFEM_ERROR, oofem::FloatArray::resize(), oofem::FloatMatrix::resize(), weights, oofem::FloatArray::zero(), and oofem::FloatMatrix::zero().

◆ global2local()

int oofem::NURBSInterpolation::global2local	(	FloatArray &	answer,
		const FloatArray &	gcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates local coordinates from given global ones. If local coordinates cannot be found (generate elements, or point far outside geometry, then the center coordinate will be used as a last resort, and the return value will be zero.

Parameters