basix::polynomials Namespace Reference

Polynomials. More...

Enumerations
enum	type { legendre = 0 }
	An enum defining the variants of a Lagrange space that can be created.

Functions
xt::xtensor< double, 2 >	tabulate (polynomials::type polytype, cell::type celltype, int d, const xt::xtensor< double, 2 > &x)
int	dim (polynomials::type polytype, cell::type cell, int d)

Detailed Description

Polynomials.

Function Documentation

dim()

int basix::polynomials::dim	(	polynomials::type	polytype,
		cell::type	cell,
		int	d
	)

Dimension of a polynomial space

Parameters

[in]	polytype	The polynomial type
[in]	cell	The cell type
[in]	d	The polynomial degree

Returns

The number terms in the basis spanning a space of polynomial degree d

tabulate()

xt::xtensor< double, 2 > basix::polynomials::tabulate	(	polynomials::type	polytype,
		cell::type	celltype,
		int	d,
		const xt::xtensor< double, 2 > &	x
	)

Tabulate a set of polynomials.

Parameters

[in]	polytype	Polynomial type
[in]	celltype	Cell type
[in]	d	Polynomial degree
[in]	x	Points at which to evaluate the basis. The shape is (number of points, geometric dimension).

Returns

Polynomial sets, for each derivative, tabulated at points. The shape is (number of points, basis index).