#include <feibspline.h>

Inheritance diagram for oofem::BSplineInterpolation:

Collaboration diagram for oofem::BSplineInterpolation:

Public Member Functions
	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
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
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
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
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_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

Surface interpolation services
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
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
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
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 for B-splines.

Definition at line 62 of file feibspline.h.

Constructor & Destructor Documentation

◆ BSplineInterpolation()

oofem::BSplineInterpolation::BSplineInterpolation ( int nsd )

inline

Definition at line 93 of file feibspline.h.

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

Referenced by oofem::NURBSInterpolation::NURBSInterpolation(), and oofem::TSplineInterpolation::TSplineInterpolation().

Member Function Documentation

◆ basisFuns()

void oofem::BSplineInterpolation::basisFuns	(	FloatArray &	N,
		int	span,
		double	u,
		int	p,
		const FloatArray &	U ) const

protected

Evaluates the nonvanishing basis functions of 1d BSpline (algorithm A2.2 from NURBS book)

Parameters

span	Knot span index (zero based).
u	Value at which to evaluate.
p	Degree.
U	Knot vector.
N	Computed p+1 nonvanishing functions (N_{span-p,p}-N_{span,p})

Warning: Parameter u and span must be in a valid range.

Definition at line 644 of file feibspline.C.

References N.

Referenced by evalN(), oofem::NURBSInterpolation::evalN(), local2global(), and oofem::NURBSInterpolation::local2global().

◆ boundaryEdgeEvalN()

void oofem::BSplineInterpolation::boundaryEdgeEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the basis functions on the requested boundary. Only basis functions that are nonzero anywhere on the boundary are given. Ordering can be obtained from giveBoundaryNodes. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Basis functions Array to be filled with the boundary nodes.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Todo

Implements oofem::FEInterpolation.

Definition at line 146 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryEdgeEvalNormal()

double oofem::BSplineInterpolation::boundaryEdgeEvalNormal	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the normal out of the edge at given point.

Parameters

answer	Contains resulting normal vector.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian.

Implements oofem::FEInterpolation.

Definition at line 152 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryEdgeGiveNodes()

IntArray oofem::BSplineInterpolation::boundaryEdgeGiveNodes	(	int	boundary,
		const Element_Geometry_Type	,
		bool	includeHierarchical = false ) const

inlineoverridevirtual

Gives the boundary nodes for requested boundary number.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.
includeHierarchical	If true, include hierarchical nodes, introduced by interpolations on universal cells (mpm)

Implements oofem::FEInterpolation.

Definition at line 144 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryEdgeGiveTransformationJacobian()

double oofem::BSplineInterpolation::boundaryEdgeGiveTransformationJacobian	(	int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the determinant of the transformation Jacobian on the requested boundary. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The determinant of the boundary transformation Jacobian.

Implements oofem::FEInterpolation.

Definition at line 148 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryEdgeLocal2Global()

void oofem::BSplineInterpolation::boundaryEdgeLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Maps the local boundary coordinates to global. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Global coordinates.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 150 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryEvalN()

void oofem::BSplineInterpolation::boundaryEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the basis functions on the requested boundary. Only basis functions that are nonzero anywhere on the boundary are given. Ordering can be obtained from giveBoundaryNodes. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Basis functions Array to be filled with the boundary nodes.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 175 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryEvalNormal()

double oofem::BSplineInterpolation::boundaryEvalNormal	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the normal on the requested boundary.

Parameters

answer	The evaluated normal.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The boundary transformation Jacobian.

Implements oofem::FEInterpolation.

Definition at line 177 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryGiveNodes()

IntArray oofem::BSplineInterpolation::boundaryGiveNodes	(	int	boundary,
		const Element_Geometry_Type	) const

inlineoverridevirtual

Gives the boundary nodes for requested boundary number. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.

Implements oofem::FEInterpolation.

Definition at line 173 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryGiveTransformationJacobian()

double oofem::BSplineInterpolation::boundaryGiveTransformationJacobian	(	int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the determinant of the transformation Jacobian on the requested boundary. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The determinant of the boundary transformation Jacobian.

Implements oofem::FEInterpolation.

Definition at line 179 of file feibspline.h.

References OOFEM_ERROR.

◆ boundaryLocal2Global()

void oofem::BSplineInterpolation::boundaryLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Maps the local boundary coordinates to global. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Global coordinates.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 181 of file feibspline.h.

References OOFEM_ERROR.

◆ boundarySurfaceEvaldNdx()

void oofem::BSplineInterpolation::boundarySurfaceEvaldNdx	(	FloatMatrix &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the matrix of derivatives of edge 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 dNj/dxi.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 160 of file feibspline.h.

References OOFEM_ERROR.

◆ boundarySurfaceEvalN()

void oofem::BSplineInterpolation::boundarySurfaceEvalN	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

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

Parameters

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

Implements oofem::FEInterpolation.

Definition at line 158 of file feibspline.h.

References OOFEM_ERROR.

◆ boundarySurfaceEvalNormal()

double oofem::BSplineInterpolation::boundarySurfaceEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the normal out of the surface at given point.

Parameters

answer	Contains resulting normal vector.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian.

Implements oofem::FEInterpolation.

Definition at line 162 of file feibspline.h.

References OOFEM_ERROR.

◆ boundarySurfaceGiveNodes()

IntArray oofem::BSplineInterpolation::boundarySurfaceGiveNodes	(	int	boundary,
		const Element_Geometry_Type	,
		bool	includeHierarchical = false ) const

inlineoverridevirtual

Gives the boundary nodes for requested boundary number.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.
includeHierarchical	If true, include hierarchical nodes, introduced by interpolations on universal cells (mpm)

Implements oofem::FEInterpolation.

Definition at line 168 of file feibspline.h.

References OOFEM_ERROR.

◆ boundarySurfaceGiveTransformationJacobian()

double oofem::BSplineInterpolation::boundarySurfaceGiveTransformationJacobian	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the edge jacobian of transformation between local and global coordinates.

Parameters

isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Implements oofem::FEInterpolation.

Definition at line 166 of file feibspline.h.

References OOFEM_ERROR.

◆ boundarySurfaceLocal2global()

void oofem::BSplineInterpolation::boundarySurfaceLocal2global	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates edge global coordinates from given local ones. These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting global coordinates.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 164 of file feibspline.h.

References OOFEM_ERROR.

◆ dersBasisFuns()

void oofem::BSplineInterpolation::dersBasisFuns	(	int	n,
		double	u,
		int	span,
		int	p,
		const FloatArray &	U,
		FloatMatrix &	ders ) const

protected

Computes nonzero basis functions and their derivatives at u.

For information on the algorithm, see A2.3 on p72 of the NURBS book. The result is stored in the ders matrix, where ders is of size (n+1,p+1) and the derivative

\begin{align*}N(u) &= \mathit{ders}(0,span-p+j) \quad\text{where } j=0...p \ \ N'(u) &= \mathit{ders}(1,span-p+j) \quad\text{where } j=0...p \ \ N''(u) &= \mathit{ders}(2,span-p+j) \quad\text{where } j=0...p \end{align*}

Parameters

n	Degree of the derivation.
u	Parametric value.
span	Knot span index (zero based).
p	Degree.
U	Knot vector.
ders	Matrix containing the derivatives of the basis functions.

Warning: Parameters n, u and span must be in a valid range.

Definition at line 675 of file feibspline.C.

References oofem::FloatMatrix::resize().

Referenced by evaldNdx(), oofem::NURBSInterpolation::evaldNdx(), giveJacobianMatrixAt(), and oofem::NURBSInterpolation::giveJacobianMatrixAt().

◆ evaldNdx()

double oofem::BSplineInterpolation::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.

Implements oofem::FEInterpolation.

Reimplemented in oofem::NURBSInterpolation, and oofem::TSplineInterpolation.

Definition at line 221 of file feibspline.C.

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

◆ evalN()

void oofem::BSplineInterpolation::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.

Implements oofem::FEInterpolation.

Reimplemented in oofem::NURBSInterpolation, and oofem::TSplineInterpolation.

Definition at line 176 of file feibspline.C.

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

◆ findSpan()

int oofem::BSplineInterpolation::findSpan	(	int	n,
		int	p,
		double	u,
		const FloatArray &	U ) const

protected

Determines the knot span index (Algorithm A2.1 from the NURBS book)

Determines the knot span for which there exists non-zero basis functions. The span is the index k for which the parameter u is valid in the (u_k,u_{k+1}] range.

Parameters

n	Number of control points - 1.
u	Parametric value.
p	Degree.
U	Knot vector.

Returns: Span index at u (zero based).

Warning: Parameter u must be in a valid range.

Definition at line 774 of file feibspline.C.

Referenced by evaldNdx(), oofem::NURBSInterpolation::evaldNdx(), oofem::TSplineInterpolation::evaldNdx(), evalN(), oofem::NURBSInterpolation::evalN(), oofem::TSplineInterpolation::evalN(), giveJacobianMatrixAt(), oofem::NURBSInterpolation::giveJacobianMatrixAt(), oofem::TSplineInterpolation::giveJacobianMatrixAt(), local2global(), oofem::NURBSInterpolation::local2global(), and oofem::TSplineInterpolation::local2global().

◆ giveBoundaryEdgeIntegrationDomain()

integrationDomain oofem::BSplineInterpolation::giveBoundaryEdgeIntegrationDomain	(	int	boundary,
		const Element_Geometry_Type	) const

inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 132 of file feibspline.h.

References oofem::_Line, oofem::_UnknownIntegrationDomain, and nsd.

◆ giveBoundaryEdgeIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::BSplineInterpolation::giveBoundaryEdgeIntegrationRule	(	int	order,
		int	boundary,
		Element_Geometry_Type	egt ) const

inlineoverridevirtual

Sets up a suitable integration rule for integrating over the requested boundary. The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented from oofem::FEInterpolation.

Definition at line 209 of file feibspline.h.

References OOFEM_ERROR, and oofem::FEInterpolation::order.

◆ giveBoundaryGeometryType()

const Element_Geometry_Type oofem::BSplineInterpolation::giveBoundaryGeometryType ( int boundary ) const

inlineoverridevirtual

Returns boundary geometry type

Implements oofem::FEInterpolation.

Definition at line 109 of file feibspline.h.

◆ giveBoundaryIntegrationDomain()

integrationDomain oofem::BSplineInterpolation::giveBoundaryIntegrationDomain	(	int	boundary,
		const Element_Geometry_Type	) const

inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 112 of file feibspline.h.

References oofem::_Line, oofem::_Point, oofem::_Square, oofem::_UnknownIntegrationDomain, and nsd.

◆ giveBoundaryIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::BSplineInterpolation::giveBoundaryIntegrationRule	(	int	order,
		int	boundary,
		Element_Geometry_Type	egt ) const

inlineoverridevirtual

Sets up a suitable integration rule for integrating over the requested boundary. The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented from oofem::FEInterpolation.

Definition at line 207 of file feibspline.h.

References OOFEM_ERROR, and oofem::FEInterpolation::order.

◆ giveBoundarySurfaceIntegrationDomain()

integrationDomain oofem::BSplineInterpolation::giveBoundarySurfaceIntegrationDomain	(	int	boundary,
		const Element_Geometry_Type	) const

inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 123 of file feibspline.h.

References oofem::_Square, oofem::_UnknownIntegrationDomain, and nsd.

◆ giveClassName()

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

inline

Definition at line 202 of file feibspline.h.

◆ giveGeometryType()

const Element_Geometry_Type oofem::BSplineInterpolation::giveGeometryType ( ) const

inlineoverridevirtual

Returns the geometry type fo the interpolator.

Implements oofem::FEInterpolation.

Definition at line 108 of file feibspline.h.

◆ giveIntegrationDomain()

integrationDomain oofem::BSplineInterpolation::giveIntegrationDomain ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns the integration domain of the interpolator.

Implements oofem::FEInterpolation.

Definition at line 97 of file feibspline.h.

References oofem::_Cube, oofem::_Line, oofem::_Square, oofem::_UnknownIntegrationDomain, and nsd.

◆ giveIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::BSplineInterpolation::giveIntegrationRule	(	int	order,
		const Element_Geometry_Type	egt ) const

inlineoverridevirtual

Sets up a suitable integration rule for numerical integrating over volume. The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order Polynomial order of integrand (should NOT including determinant of jacobian).

Reimplemented from oofem::FEInterpolation.

Definition at line 205 of file feibspline.h.

References OOFEM_ERROR, and oofem::FEInterpolation::order.

◆ giveJacobianMatrixAt()

void oofem::BSplineInterpolation::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::FEInterpolation.

Reimplemented in oofem::NURBSInterpolation, and oofem::TSplineInterpolation.

Definition at line 482 of file feibspline.C.

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

◆ giveKnotMultiplicity()

const IntArray * oofem::BSplineInterpolation::giveKnotMultiplicity ( int dim ) const

inlineoverridevirtual

Returns the knot multiplicity of the receiver.

Reimplemented from oofem::FEInterpolation.

Definition at line 190 of file feibspline.h.

◆ giveKnotSpanBasisFuncMask()

int oofem::BSplineInterpolation::giveKnotSpanBasisFuncMask	(	const IntArray &	knotSpan,
		IntArray &	mask ) const

overridevirtual

Returns indices (zero based) of nonzero basis functions for given knot span. The knot span identifies the sub-region of the finite element.

Returns: Nonzero if mask is provided, zero otherwise meaning that all basis functions are generally nonzero.

Reimplemented from oofem::FEInterpolation.

Reimplemented in oofem::TSplineInterpolation.

Definition at line 587 of file feibspline.C.

References oofem::IntArray::at(), degree, giveNumberOfKnotSpanBasisFunctions(), nsd, numberOfControlPoints, OOFEM_ERROR, and oofem::IntArray::resize().

◆ giveKnotValues()

const FloatArray * oofem::BSplineInterpolation::giveKnotValues ( int dim ) const

inlineoverridevirtual

Returns the knot values of the receiver.

Reimplemented from oofem::FEInterpolation.

Definition at line 191 of file feibspline.h.

Referenced by oofem::TSplineInterpolation::evaldNdx(), oofem::TSplineInterpolation::evalN(), oofem::TSplineInterpolation::giveJacobianMatrixAt(), and oofem::TSplineInterpolation::local2global().

◆ giveKnotVector()

const FloatArray * oofem::BSplineInterpolation::giveKnotVector ( ) const

inlineoverridevirtual

Returns the subdivision of patch parametric space

Reimplemented from oofem::FEInterpolation.

Definition at line 187 of file feibspline.h.

References oofem::FloatArray::data().

◆ giveNonzeroBasisFuncInterval()

void oofem::BSplineInterpolation::giveNonzeroBasisFuncInterval	(	int	span,
		int	deg,
		int &	s,
		int &	e ) const

inlineprotected

Returns the range of nonzero basis functions for given knot span and given degree.

Definition at line 263 of file feibspline.h.

◆ giveNsd()

int oofem::BSplineInterpolation::giveNsd ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns number of spatial dimensions.

Implements oofem::FEInterpolation.

Definition at line 140 of file feibspline.h.

References nsd.

◆ giveNumberOfControlPoints()

virtual int oofem::BSplineInterpolation::giveNumberOfControlPoints ( int dim ) const

inlinevirtual

Definition at line 186 of file feibspline.h.

References numberOfControlPoints.

Referenced by oofem::BsplinePlaneStressElement::checkConsistency(), oofem::NURBSPlaneStressElement::checkConsistency(), and oofem::NURBSSpace3dElement::checkConsistency().

◆ giveNumberOfKnotSpanBasisFunctions()

int oofem::BSplineInterpolation::giveNumberOfKnotSpanBasisFunctions ( const IntArray & knotSpan ) const

overridevirtual

Returns the number of nonzero basis functions at individual knot span,

Returns: Zero in case of all basis functions generaedgeEvaldNdslly nonzero, answer otherwise.

Todo: This loop seems meaningless. It just returns degree[nsd-1]+1 in the end ?

Reimplemented from oofem::FEInterpolation.

Reimplemented in oofem::TSplineInterpolation.

Definition at line 625 of file feibspline.C.

References degree, and nsd.

Referenced by evaldNdx(), oofem::NURBSInterpolation::evaldNdx(), evalN(), oofem::NURBSInterpolation::evalN(), and giveKnotSpanBasisFuncMask().

◆ giveNumberOfKnotSpans()

int oofem::BSplineInterpolation::giveNumberOfKnotSpans ( int dim ) const

inlineoverridevirtual

Returns the number of knot spans of the receiver.

Reimplemented from oofem::FEInterpolation.

Definition at line 185 of file feibspline.h.

References numberOfKnotSpans.

◆ global2local()

int oofem::BSplineInterpolation::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

answer	Contains evaluated local coordinates.
gcoords	Array containing global coordinates.
cellgeo	Underlying cell geometry.

Returns: Nonzero is returned if point is within the element geometry, zero otherwise.

Implements oofem::FEInterpolation.

Reimplemented in oofem::NURBSInterpolation, and oofem::TSplineInterpolation.

Definition at line 195 of file feibspline.h.

References OOFEM_ERROR.

◆ hasSubPatchFormulation()

bool oofem::BSplineInterpolation::hasSubPatchFormulation ( ) const

inlineoverridevirtual

Returns true, if receiver is formulated on sub-patch basis.

Reimplemented from oofem::FEInterpolation.

Definition at line 203 of file feibspline.h.

◆ initializeFrom()

void oofem::BSplineInterpolation::initializeFrom	(	InputRecord &	ir,
		ParameterManager &	pm,
		int	elnum,
		int	priority )

overridevirtual

Initializes receiver according to object description stored in input record.

Reimplemented from oofem::FEInterpolation.

Reimplemented in oofem::NURBSInterpolation, and oofem::TSplineInterpolation.

Definition at line 56 of file feibspline.C.

References _IFT_BSplineInterpolation_degree, oofem::IntArray::at(), degree, oofem::IntArray::giveSize(), IPK_BSplineInterpolation_degree, IPK_BSplineInterpolation_knotMultiplicityU, IPK_BSplineInterpolation_knotMultiplicityV, IPK_BSplineInterpolation_knotMultiplicityW, IPK_BSplineInterpolation_knotVectorU, IPK_BSplineInterpolation_knotVectorV, IPK_BSplineInterpolation_knotVectorW, knotMultiplicity, knotValues, nsd, PM_UPDATE_PARAMETER, and PM_UPDATE_PARAMETER_AND_REPORT.

◆ local2global()

void oofem::BSplineInterpolation::local2global	(	FloatArray &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates global coordinates from given local ones.

Parameters

answer	Contains resulting global coordinates.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Reimplemented in oofem::NURBSInterpolation, and oofem::TSplineInterpolation.

Definition at line 400 of file feibspline.C.

References oofem::FloatArray::add(), basisFuns(), degree, findSpan(), oofem::FEICellGeometry::giveVertexCoordinates(), oofem::FEIIGAElementGeometryWrapper::knotSpan, knotVector, N, nsd, numberOfControlPoints, OOFEM_ERROR, oofem::FloatArray::resize(), and oofem::FloatArray::zero().

◆ postInitialize()

void oofem::BSplineInterpolation::postInitialize	(	ParameterManager &	pm,
		int	elnum )

overridevirtual

Reimplemented from oofem::FEInterpolation.

Reimplemented in oofem::NURBSInterpolation.

Definition at line 86 of file feibspline.C.

References oofem::ComponentInputException::ctElement, degree, IPK_BSplineInterpolation_knotMultiplicityU, IPK_BSplineInterpolation_knotMultiplicityV, IPK_BSplineInterpolation_knotMultiplicityW, IPK_BSplineInterpolation_knotVectorU, IPK_BSplineInterpolation_knotVectorV, IPK_BSplineInterpolation_knotVectorW, knotMultiplicity, knotValues, knotVector, nsd, numberOfControlPoints, numberOfKnotSpans, OOFEM_LOG_RELEVANT, and oofem::sum().

Referenced by oofem::IGATSplineElement::initializeFinish().

Member Data Documentation

◆ degree

std::array<int, 3> oofem::BSplineInterpolation::degree

protected

Degree in each direction.

Definition at line 68 of file feibspline.h.

◆ IPK_BSplineInterpolation_degree

ParamKey oofem::BSplineInterpolation::IPK_BSplineInterpolation_degree

staticprotected

Definition at line 84 of file feibspline.h.

Referenced by initializeFrom().

◆ IPK_BSplineInterpolation_knotMultiplicityU

ParamKey oofem::BSplineInterpolation::IPK_BSplineInterpolation_knotMultiplicityU

staticprotected

Definition at line 88 of file feibspline.h.

Referenced by initializeFrom(), and postInitialize().

◆ IPK_BSplineInterpolation_knotMultiplicityV

ParamKey oofem::BSplineInterpolation::IPK_BSplineInterpolation_knotMultiplicityV

staticprotected

Definition at line 89 of file feibspline.h.

Referenced by initializeFrom(), and postInitialize().

◆ IPK_BSplineInterpolation_knotMultiplicityW

ParamKey oofem::BSplineInterpolation::IPK_BSplineInterpolation_knotMultiplicityW

staticprotected

Definition at line 90 of file feibspline.h.

Referenced by initializeFrom(), and postInitialize().

◆ IPK_BSplineInterpolation_knotVectorU

ParamKey oofem::BSplineInterpolation::IPK_BSplineInterpolation_knotVectorU

staticprotected

Definition at line 85 of file feibspline.h.

Referenced by initializeFrom(), and postInitialize().

◆ IPK_BSplineInterpolation_knotVectorV

ParamKey oofem::BSplineInterpolation::IPK_BSplineInterpolation_knotVectorV

staticprotected

Definition at line 86 of file feibspline.h.

Referenced by initializeFrom(), and postInitialize().

◆ IPK_BSplineInterpolation_knotVectorW

ParamKey oofem::BSplineInterpolation::IPK_BSplineInterpolation_knotVectorW

staticprotected

Definition at line 87 of file feibspline.h.

Referenced by initializeFrom(), and postInitialize().

◆ knotMultiplicity

std::array<IntArray, 3> oofem::BSplineInterpolation::knotMultiplicity

protected

Knot multiplicity [nsd].

Definition at line 72 of file feibspline.h.

Referenced by initializeFrom(), and postInitialize().

◆ knotValues

std::array<FloatArray, 3> oofem::BSplineInterpolation::knotValues

protected

Knot values [nsd].

Definition at line 70 of file feibspline.h.

Referenced by oofem::TSplineInterpolation::giveKnotSpanBasisFuncMask(), oofem::TSplineInterpolation::giveKnotSpanBasisFuncMask(), oofem::TSplineInterpolation::giveNumberOfKnotSpanBasisFunctions(), oofem::TSplineInterpolation::giveNumberOfKnotSpanBasisFunctions(), initializeFrom(), oofem::TSplineInterpolation::initializeFrom(), and postInitialize().

◆ knotVector

std::array<FloatArray, 3> oofem::BSplineInterpolation::knotVector

protected

Knot vectors [nsd][knot_vector_size].

Definition at line 80 of file feibspline.h.

◆ nsd

int oofem::BSplineInterpolation::nsd

protected

Number of spatial directions.

Definition at line 66 of file feibspline.h.

◆ numberOfControlPoints

std::array<int, 3> oofem::BSplineInterpolation::numberOfControlPoints

protected

numberOfControlPoints[nsd]

For TSpline this is filled by values corresponding to case when there are no T-junctions (i.e. TSpline = BSpline)

Definition at line 78 of file feibspline.h.

Referenced by evaldNdx(), oofem::NURBSInterpolation::evaldNdx(), oofem::TSplineInterpolation::evaldNdx(), evalN(), oofem::NURBSInterpolation::evalN(), oofem::TSplineInterpolation::evalN(), giveJacobianMatrixAt(), oofem::NURBSInterpolation::giveJacobianMatrixAt(), oofem::TSplineInterpolation::giveJacobianMatrixAt(), giveKnotSpanBasisFuncMask(), giveNumberOfControlPoints(), local2global(), oofem::NURBSInterpolation::local2global(), oofem::TSplineInterpolation::local2global(), and postInitialize().

◆ numberOfKnotSpans

std::array<int, 3> oofem::BSplineInterpolation::numberOfKnotSpans

protected

Nonzero spans in each directions [nsd].

Definition at line 82 of file feibspline.h.

Referenced by giveNumberOfKnotSpans(), and postInitialize().

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

Public Member Functions

Protected Attributes

Static Protected Attributes

Surface interpolation services

Detailed Description

Constructor & Destructor Documentation

◆ BSplineInterpolation()

Member Function Documentation

◆ basisFuns()

◆ boundaryEdgeEvalN()

◆ boundaryEdgeEvalNormal()

◆ boundaryEdgeGiveNodes()

◆ boundaryEdgeGiveTransformationJacobian()

◆ boundaryEdgeLocal2Global()

◆ boundaryEvalN()

◆ boundaryEvalNormal()

◆ boundaryGiveNodes()

◆ boundaryGiveTransformationJacobian()

◆ boundaryLocal2Global()

◆ boundarySurfaceEvaldNdx()

◆ boundarySurfaceEvalN()

◆ boundarySurfaceEvalNormal()

◆ boundarySurfaceGiveNodes()

◆ boundarySurfaceGiveTransformationJacobian()

◆ boundarySurfaceLocal2global()

◆ dersBasisFuns()

◆ evaldNdx()

◆ evalN()

◆ findSpan()

◆ giveBoundaryEdgeIntegrationDomain()

◆ giveBoundaryEdgeIntegrationRule()

◆ giveBoundaryGeometryType()

◆ giveBoundaryIntegrationDomain()

◆ giveBoundaryIntegrationRule()

◆ giveBoundarySurfaceIntegrationDomain()

◆ giveClassName()

◆ giveGeometryType()

◆ giveIntegrationDomain()

◆ giveIntegrationRule()

◆ giveJacobianMatrixAt()

◆ giveKnotMultiplicity()

◆ giveKnotSpanBasisFuncMask()

◆ giveKnotValues()

◆ giveKnotVector()

◆ giveNonzeroBasisFuncInterval()

◆ giveNsd()

◆ giveNumberOfControlPoints()

◆ giveNumberOfKnotSpanBasisFunctions()

◆ giveNumberOfKnotSpans()

◆ global2local()

◆ hasSubPatchFormulation()

◆ initializeFrom()

◆ local2global()

◆ postInitialize()

Member Data Documentation

◆ degree

◆ IPK_BSplineInterpolation_degree

◆ IPK_BSplineInterpolation_knotMultiplicityU

◆ IPK_BSplineInterpolation_knotMultiplicityV

◆ IPK_BSplineInterpolation_knotMultiplicityW

◆ IPK_BSplineInterpolation_knotVectorU

◆ IPK_BSplineInterpolation_knotVectorV

◆ IPK_BSplineInterpolation_knotVectorW

◆ knotMultiplicity

◆ knotValues

◆ knotVector

◆ nsd

◆ numberOfControlPoints

◆ numberOfKnotSpans