basix::doftransforms Namespace Reference

Functions to transform DOFs in high degree Lagrange spaces. The functions in this namespace calculate the permutations that can be used to rotate and reflect DOF points in Lagrange spaces. More...

Functions
template<std::floating_point T>
std::map< cell::type, std::pair< std::vector< T >, std::array< std::size_t, 3 > > >	compute_entity_transformations (cell::type cell_type, const std::array< std::vector< MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan< const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents< std::size_t, 2 >>>, 4 > &x, const std::array< std::vector< MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan< const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents< std::size_t, 4 >>>, 4 > &M, MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan< const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents< std::size_t, 2 >> coeffs, int degree, std::size_t vs, maps::type map_type, polyset::type ptype)
	Compute the entity DOF transformations for an element. More...

Detailed Description

Functions to transform DOFs in high degree Lagrange spaces. The functions in this namespace calculate the permutations that can be used to rotate and reflect DOF points in Lagrange spaces.

Function Documentation

compute_entity_transformations()

template<std::floating_point T>

std::map< cell::type, std::pair< std::vector< T >, std::array< std::size_t, 3 > > > basix::doftransforms::compute_entity_transformations	(	cell::type	cell_type,
		const std::array< std::vector< MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan< const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents< std::size_t, 2 >>>, 4 > &	x,
		const std::array< std::vector< MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan< const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents< std::size_t, 4 >>>, 4 > &	M,
		MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan< const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents< std::size_t, 2 >>	coeffs,
		int	degree,
		std::size_t	vs,
		maps::type	map_type,
		polyset::type	ptype
	)

Compute the entity DOF transformations for an element.

Parameters

[in]	cell_type	The cell type
[in]	x	Interpolation points for the element. Indices are (tdim, entity index, point index, dim)
[in]	M	Interpolation matrix for the element. Indices are (tdim, entity index, dof, vs, point_index, derivative)
[in]	coeffs	The coefficients that define the basis functions of the element in terms of the orthonormal basis. Shape is (dim(Legendre polynomials), dim(finite element polyset))
[in]	degree	The degree of the element
[in]	vs	The value size of the element
[in]	map_type	The map type used by the element
[in]	ptype	The polyset type used by the element

Returns

Entity transformations. For each cell, the shape is (ntransformation, ndofs, ndofs)