#include <nurbs.hpp>

Collaboration diagram for mfem::KnotVector:

Public Member Functions
	KnotVector ()
	Create KnotVector.

	KnotVector (std::istream &input)

	KnotVector (int Order_, int NCP)

	KnotVector (const KnotVector &kv)

KnotVector &	operator= (const KnotVector &kv)

int	GetNE () const

int	GetNKS () const

int	GetNCP () const

int	GetOrder () const

int	Size () const

void	GetElements ()
	Count the number of elements.

bool	isElement (int i) const

real_t	getKnotLocation (real_t xi, int ni) const

int	findKnotSpan (real_t u) const

void	CalcShape (Vector &shape, int i, real_t xi) const

void	CalcDShape (Vector &grad, int i, real_t xi) const

void	CalcDnShape (Vector &gradn, int n, int i, real_t xi) const

void	CalcD2Shape (Vector &grad2, int i, real_t xi) const

void	FindMaxima (Array< int > &ks, Vector &xi, Vector &u) const

void	FindInterpolant (Array< Vector * > &x)

void	Difference (const KnotVector &kv, Vector &diff) const
	Finds the knots in the larger of this and kv, not contained in the other.

void	UniformRefinement (Vector &newknots, int rf) const
	Refine uniformly with refinement factor rf.

void	Refinement (Vector &newknots, int rf) const
	Refine with refinement factor rf.

int	GetCoarseningFactor () const

Vector	GetFineKnots (const int cf) const

KnotVector *	DegreeElevate (int t) const

void	Flip ()

void	Print (std::ostream &os) const

void	PrintFunctions (std::ostream &os, int samples=11) const

	~KnotVector ()
	Destroys KnotVector.

real_t &	operator[] (int i)

const real_t &	operator[] (int i) const

Public Attributes
std::shared_ptr< SpacingFunction >	spacing
	Function to define the distribution of knots for any number of knot spans.

bool	coarse

Protected Attributes
Vector	knot

int	Order

int	NumOfControlPoints

int	NumOfElements

Static Protected Attributes
static const int	MaxOrder = 10

Detailed Description

Definition at line 33 of file nurbs.hpp.

Constructor & Destructor Documentation

◆ KnotVector() [1/4]

mfem::KnotVector::KnotVector ( )

inline

Create KnotVector.

Definition at line 43 of file nurbs.hpp.

◆ KnotVector() [2/4]

mfem::KnotVector::KnotVector ( std::istream & input )

Definition at line 30 of file nurbs.cpp.

◆ KnotVector() [3/4]

mfem::KnotVector::KnotVector	(	int	Order_,
		int	NCP )

Definition at line 38 of file nurbs.cpp.

◆ KnotVector() [4/4]

mfem::KnotVector::KnotVector ( const KnotVector & kv )

inline

Definition at line 46 of file nurbs.hpp.

◆ ~KnotVector()

mfem::KnotVector::~KnotVector ( )

inline

Destroys KnotVector.

Definition at line 115 of file nurbs.hpp.

Member Function Documentation

◆ CalcD2Shape()

void mfem::KnotVector::CalcD2Shape	(	Vector &	grad2,
		int	i,
		real_t	xi ) const

inline

Definition at line 69 of file nurbs.hpp.

◆ CalcDnShape()

void mfem::KnotVector::CalcDnShape	(	Vector &	gradn,
		int	n,
		int	i,
		real_t	xi ) const

Definition at line 381 of file nurbs.cpp.

◆ CalcDShape()

void mfem::KnotVector::CalcDShape	(	Vector &	grad,
		int	i,
		real_t	xi ) const

Definition at line 324 of file nurbs.cpp.

◆ CalcShape()

void mfem::KnotVector::CalcShape	(	Vector &	shape,
		int	i,
		real_t	xi ) const

Definition at line 297 of file nurbs.cpp.

◆ DegreeElevate()

KnotVector * mfem::KnotVector::DegreeElevate ( int t ) const

Return a new KnotVector with elevated degree by repeating the endpoints of the knot vector.

Note: The returned object should be deleted by the caller.

Definition at line 63 of file nurbs.cpp.

◆ Difference()

void mfem::KnotVector::Difference	(	const KnotVector &	kv,
		Vector &	diff ) const

Finds the knots in the larger of this and kv, not contained in the other.

Definition at line 605 of file nurbs.cpp.

◆ FindInterpolant()

void mfem::KnotVector::FindInterpolant ( Array< Vector * > & x )

Global curve interpolation through the points x. x is an array with the length of the spatial dimension containing vectors with spatial coordinates. The control points of the interpolated curve are given in x in the same form.

Definition at line 543 of file nurbs.cpp.

◆ findKnotSpan()

int mfem::KnotVector::findKnotSpan ( real_t u ) const

Definition at line 576 of file nurbs.cpp.

◆ FindMaxima()

void mfem::KnotVector::FindMaxima	(	Array< int > &	ks,
		Vector &	xi,
		Vector &	u ) const

Gives the locations of the maxima of the knotvector in reference space. The function gives the knotspan ks, the coordinate in the knotspan xi and the coordinate of the maximum in parameter space u

Definition at line 482 of file nurbs.cpp.

◆ Flip()

void mfem::KnotVector::Flip ( )

Definition at line 241 of file nurbs.cpp.

◆ GetCoarseningFactor()

int mfem::KnotVector::GetCoarseningFactor ( ) const

Returns the coarsening factor needed for non-nested nonuniform spacing functions, to result in a single element from which refinement can be done. The return value is 1 if uniform or nested spacing is used.

Definition at line 113 of file nurbs.cpp.

◆ GetElements()

void mfem::KnotVector::GetElements ( )

Count the number of elements.

Definition at line 229 of file nurbs.cpp.

◆ GetFineKnots()

Vector mfem::KnotVector::GetFineKnots ( const int cf ) const

For a given coarsening factor cf, find the fine knots between the coarse knots.

Definition at line 132 of file nurbs.cpp.

◆ getKnotLocation()

real_t mfem::KnotVector::getKnotLocation	(	real_t	xi,
		int	ni ) const

inline

Definition at line 61 of file nurbs.hpp.

◆ GetNCP()

int mfem::KnotVector::GetNCP ( ) const

inline

Definition at line 52 of file nurbs.hpp.

◆ GetNE()

int mfem::KnotVector::GetNE ( ) const

inline

Definition at line 50 of file nurbs.hpp.

◆ GetNKS()

int mfem::KnotVector::GetNKS ( ) const

inline

Definition at line 51 of file nurbs.hpp.

◆ GetOrder()

int mfem::KnotVector::GetOrder ( ) const

inline

Definition at line 53 of file nurbs.hpp.

◆ isElement()

bool mfem::KnotVector::isElement ( int i ) const

inline

Definition at line 59 of file nurbs.hpp.

◆ operator=()

KnotVector & mfem::KnotVector::operator= ( const KnotVector & kv )

Definition at line 48 of file nurbs.cpp.

◆ operator[]() [1/2]

real_t & mfem::KnotVector::operator[] ( int i )

inline

Definition at line 117 of file nurbs.hpp.

◆ operator[]() [2/2]

const real_t & mfem::KnotVector::operator[] ( int i ) const

inline

Definition at line 118 of file nurbs.hpp.

◆ Print()

void mfem::KnotVector::Print ( std::ostream & os ) const

Definition at line 254 of file nurbs.cpp.

◆ PrintFunctions()

void mfem::KnotVector::PrintFunctions	(	std::ostream &	os,
		int	samples = 11 ) const

Prints the non-zero shape functions and their first and second derivatives associated with the KnotVector per element. Use GetElements() to count the elements before using this function. samples is the number of samples of the shape functions per element.

Definition at line 260 of file nurbs.cpp.

◆ Refinement()

void mfem::KnotVector::Refinement	(	Vector &	newknots,
		int	rf ) const

Refine with refinement factor rf.

Definition at line 169 of file nurbs.cpp.

◆ Size()

int mfem::KnotVector::Size ( ) const

inline

Definition at line 54 of file nurbs.hpp.

◆ UniformRefinement()

void mfem::KnotVector::UniformRefinement	(	Vector &	newknots,
		int	rf ) const

Refine uniformly with refinement factor rf.

Definition at line 92 of file nurbs.cpp.

Member Data Documentation

◆ coarse

bool mfem::KnotVector::coarse

Flag to indicate whether the KnotVector has been coarsened, which means it is ready for non-nested refinement.

Definition at line 125 of file nurbs.hpp.

◆ knot

Vector mfem::KnotVector::knot

protected

Definition at line 38 of file nurbs.hpp.

◆ MaxOrder

const int mfem::KnotVector::MaxOrder = 10

staticprotected

Definition at line 36 of file nurbs.hpp.

◆ NumOfControlPoints

int mfem::KnotVector::NumOfControlPoints

protected

Definition at line 39 of file nurbs.hpp.

◆ NumOfElements

int mfem::KnotVector::NumOfElements

protected

Definition at line 39 of file nurbs.hpp.

◆ Order

int mfem::KnotVector::Order

protected

Definition at line 39 of file nurbs.hpp.

◆ spacing

std::shared_ptr<SpacingFunction> mfem::KnotVector::spacing

Function to define the distribution of knots for any number of knot spans.

Definition at line 121 of file nurbs.hpp.

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

mesh/nurbs.hpp
mesh/nurbs.cpp

Public Member Functions

Public Attributes

Protected Attributes

Static Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ KnotVector() [1/4]

◆ KnotVector() [2/4]

◆ KnotVector() [3/4]

◆ KnotVector() [4/4]

◆ ~KnotVector()

Member Function Documentation

◆ CalcD2Shape()

◆ CalcDnShape()

◆ CalcDShape()

◆ CalcShape()

◆ DegreeElevate()

◆ Difference()

◆ FindInterpolant()

◆ findKnotSpan()

◆ FindMaxima()

◆ Flip()

◆ GetCoarseningFactor()

◆ GetElements()

◆ GetFineKnots()

◆ getKnotLocation()

◆ GetNCP()

◆ GetNE()

◆ GetNKS()

◆ GetOrder()

◆ isElement()

◆ operator=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Print()

◆ PrintFunctions()

◆ Refinement()

◆ Size()

◆ UniformRefinement()

Member Data Documentation

◆ coarse

◆ knot

◆ MaxOrder

◆ NumOfControlPoints

◆ NumOfElements

◆ Order

◆ spacing