Basix 0.4.1

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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]polytypeThe polynomial type
[in]cellThe cell type
[in]dThe 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]polytypePolynomial type
[in]celltypeCell type
[in]dPolynomial degree
[in]xPoints 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).