Interpolation class for NURBS. More...

#include <feinurbs.h>

Inheritance diagram for oofem::NURBSInterpolation:

Collaboration diagram for oofem::NURBSInterpolation:

Public Member Functions
	NURBSInterpolation (int nsd)

virtual	~NURBSInterpolation ()

virtual void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the array of interpolation functions (shape functions) at given point. More...

virtual double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More...

virtual void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates global coordinates from given local ones. More...

virtual int	global2local (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates local coordinates from given global ones. More...

virtual void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Gives the jacobian matrix at the local coordinates. More...

virtual const char *	giveClassName () const

Public Member Functions inherited from oofem::BSplineInterpolation
	BSplineInterpolation (int nsd)

virtual	~BSplineInterpolation ()

virtual integrationDomain	giveIntegrationDomain () const
	Returns the integration domain of the interpolator. More...

virtual Element_Geometry_Type	giveGeometryType () const
	Returns the geometry type fo the interpolator. More...

virtual integrationDomain	giveBoundaryIntegrationDomain (int ib) const
	Returns boundary integration domain. More...

virtual integrationDomain	giveBoundarySurfaceIntegrationDomain (int isurf) const
	Returns boundary integration domain. More...

virtual integrationDomain	giveBoundaryEdgeIntegrationDomain (int iedge) const
	Returns boundary integration domain. More...

virtual int	giveNsd ()
	Returns number of spatial dimensions. More...

virtual IRResultType	initializeFrom (InputRecord *ir)
	Initializes receiver according to object description stored in input record. More...

virtual void	boundaryEdgeGiveNodes (IntArray &answer, int boundary)
	Gives the boundary nodes for requested boundary number. More...

virtual void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the basis functions on the requested boundary. More...

virtual double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation Jacobian on the requested boundary. More...

virtual void	boundaryEdgeLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Maps the local boundary coordinates to global. More...

virtual void	boundaryGiveNodes (IntArray &answer, int boundary)
	Gives the boundary nodes for requested boundary number. More...

virtual void	boundaryEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the basis functions on the requested boundary. More...

virtual double	boundaryEvalNormal (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the normal on the requested boundary. More...

virtual double	boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation Jacobian on the requested boundary. More...

virtual void	boundaryLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Maps the local boundary coordinates to global. More...

virtual int	giveNumberOfKnotSpans (int dim)
	Returns the number of knot spans of the receiver. More...

virtual int	giveNumberOfControlPoints (int dim)

virtual const double const	giveKnotVector ()
	Returns the subdivision of patch parametric space. More...

virtual const IntArray *	giveKnotMultiplicity (int dim)
	Returns the knot multiplicity of the receiver. More...

virtual const FloatArray *	giveKnotValues (int dim)
	Returns the knot values of the receiver. More...

virtual int	giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask)
	Returns indices (zero based) of nonzero basis functions for given knot span. More...

virtual int	giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan)
	Returns the number of nonzero basis functions at individual knot span,. More...

virtual bool	hasSubPatchFormulation ()
	Returns true, if receiver is formulated on sub-patch basis. More...

virtual IntegrationRule *	giveIntegrationRule (int order)
	Sets up a suitable integration rule for numerical integrating over volume. More...

virtual IntegrationRule *	giveBoundaryIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual IntegrationRule *	giveBoundaryEdgeIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual void	boundarySurfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the array of edge interpolation functions (shape functions) at given point. More...

virtual void	boundarySurfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More...

virtual double	boundarySurfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the normal out of the surface at given point. More...

virtual void	boundarySurfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates edge global coordinates from given local ones. More...

virtual double	boundarySurfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the edge jacobian of transformation between local and global coordinates. More...

virtual void	boundarySurfaceGiveNodes (IntArray &answer, int boundary)
	Gives the boundary nodes for requested boundary number. More...

Public Member Functions inherited from oofem::FEInterpolation
	FEInterpolation (int o)

virtual	~FEInterpolation ()

virtual int	giveNumberOfNodes () const
	Returns the number of geometric nodes of the receiver. More...

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

int	giveInterpolationOrder ()
	Returns the interpolation order. More...

virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of second derivatives of interpolation functions (shape functions) at given point. More...

virtual void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More...

virtual void	giveLocalNodeCoords (FloatMatrix &answer)
	Returns a matrix containing the local coordinates for each node corresponding to the interpolation. More...

virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation. More...

virtual IntegrationRule *	giveBoundarySurfaceIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual double	evalNXIntegral (int boundary, const FEICellGeometry &cellgeo)
	Computes the integral $\int_S n \cdot x \mathrm{d}s$ . More...

virtual int	giveNumberOfEdges () const
	Returns number of edges. More...

Additional Inherited Members
Protected Member Functions inherited from oofem::BSplineInterpolation
void	basisFuns (FloatArray &N, int span, double u, int p, const double *U)
	Evaluates the nonvanishing basis functions of 1d BSpline (algorithm A2.2 from NURBS book) More...

void	dersBasisFuns (int n, double u, int span, int p, double *const U, FloatMatrix &ders)
	Computes nonzero basis functions and their derivatives at u. More...

int	findSpan (int n, int p, double u, const double *U) const
	Determines the knot span index (Algorithm A2.1 from the NURBS book) More...

void	giveNonzeroBasisFuncInterval (int span, int deg, int &s, int &e)
	Returns the range of nonzero basis functions for given knot span and given degree. More...

Protected Attributes inherited from oofem::BSplineInterpolation
int	nsd
	Number of spatial directions. More...

int *	degree
	Degree in each direction. More...

FloatArray *	knotValues
	Knot values [nsd]. More...

IntArray *	knotMultiplicity
	Knot multiplicity [nsd]. More...

int *	numberOfControlPoints
	numberOfControlPoints[nsd] More...

double **	knotVector
	Knot vectors [nsd][knot_vector_size]. More...

int *	numberOfKnotSpans
	Nonzero spans in each directions [nsd]. More...

Protected Attributes inherited from oofem::FEInterpolation
int	order

Detailed Description

Interpolation class for NURBS.

Definition at line 47 of file feinurbs.h.

Constructor & Destructor Documentation

oofem::NURBSInterpolation::NURBSInterpolation ( int nsd )

inline

Definition at line 50 of file feinurbs.h.

oofem::NURBSInterpolation::~NURBSInterpolation ( )

virtual

Definition at line 45 of file feinurbs.C.

Member Function Documentation

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

virtual

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 118 of file feinurbs.C.

References oofem::FloatArray::at(), 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::FloatArray::resize(), oofem::FloatMatrix::resize(), oofem::FloatArray::zero(), and oofem::FloatMatrix::zero().

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

virtual

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 48 of file feinurbs.C.

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

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

inlinevirtual

Reimplemented from oofem::BSplineInterpolation.

Definition at line 62 of file feinurbs.h.

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

virtual

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 647 of file feinurbs.C.

References oofem::FloatArray::at(), 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(), oofem::FloatArray::zero(), and oofem::FloatMatrix::zero().

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

inlinevirtual

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.

Reimplemented from oofem::BSplineInterpolation.

Definition at line 56 of file feinurbs.h.

References OOFEM_ERROR.

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

virtual

Evaluates global coordinates from given local ones.

Parameters

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

Reimplemented from oofem::BSplineInterpolation.

Definition at line 548 of file feinurbs.C.

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

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation