Functions
std::vector< int >	interval_reflection (int degree)

std::vector< int >	triangle_reflection (int degree)

std::vector< int >	triangle_rotation (int degree)

std::vector< int >	quadrilateral_reflection (int degree)

std::vector< int >	quadrilateral_rotation (int degree)

ndarray< double, 2 >	interval_reflection_tangent_directions (int degree)

ndarray< double, 2 >	triangle_reflection_tangent_directions (int degree)

ndarray< double, 2 >	triangle_rotation_tangent_directions (int degree)

Detailed Description

Functions to help with the creation of DOF permutation and direction correction.

Function Documentation

◆ interval_reflection()

std::vector<int> basix::dofperms::interval_reflection ( int degree )

Reflect the DOFs on an interval

Parameters

degree The number of DOFs on the interval

Returns: A reordering of the numbers 0 to degree-1 representing the permutation

◆ interval_reflection_tangent_directions()

ndarray<double, 2> basix::dofperms::interval_reflection_tangent_directions ( int degree )

Generate a matrix to correct the direction of tangent vector-values DOFs on an interval when that interval is reflected

Parameters

degree The number of DOFs on the interval

Returns: A matrix representing the effect of reversing the edge on the DOF values

◆ quadrilateral_reflection()

std::vector<int> basix::dofperms::quadrilateral_reflection ( int degree )

Reflect the DOFs on a quadrilateral

Parameters

degree The number of DOFs along one side of the quadrilateral

Returns: A reordering of the numbers 0 to degree*degree-1 representing the permutation

◆ quadrilateral_rotation()

std::vector<int> basix::dofperms::quadrilateral_rotation ( int degree )

Rotate the DOFs on a quadrilateral

Parameters

degree The number of DOFs along one side of the quadrilateral

Returns: A reordering of the numbers 0 to degree*degree-1 representing the permutation

◆ triangle_reflection()

std::vector<int> basix::dofperms::triangle_reflection ( int degree )

Reflect the DOFs on a triangle

Parameters

degree The number of DOFs along one side of the triangle

Returns: A reordering of the numbers 0 to (degree)*(degree+1)/2-1 representing the permutation

◆ triangle_reflection_tangent_directions()

ndarray<double, 2> basix::dofperms::triangle_reflection_tangent_directions ( int degree )

Generate a matrix to correct the direction of tangent vector-values DOFs on a triangle when that triangle is reflected

Parameters

degree The number of DOFs along one side of the triangle

Returns: A matrix representing the effect of reflecting the triangle edge on the DOF values

◆ triangle_rotation()

std::vector<int> basix::dofperms::triangle_rotation ( int degree )

Rotate the DOFs on a triangle

Parameters

degree The number of DOFs along one side of the triangle

Returns: A reordering of the numbers 0 to (degree)*(degree+1)/2-1 representing the permutation

◆ triangle_rotation_tangent_directions()

ndarray<double, 2> basix::dofperms::triangle_rotation_tangent_directions ( int degree )

Generate a matrix to correct the direction of tangent vector-values DOFs on a triangle when that triangle is rotated

Parameters

degree The number of DOFs along one side of the triangle

Returns: A matrix representing the effect of rotating the triangle edge on the DOF values