Information about reference cells. More...
Enumerations | |
| enum | type { point = 0, interval = 1, triangle = 2, tetrahedron = 3, quadrilateral = 4, hexahedron = 5, prism = 6, pyramid = 7 } |
| Cell type. | |
Functions | |
| xt::xtensor< double, 2 > | geometry (cell::type celltype) |
| std::vector< std::vector< std::vector< int > > > | topology (cell::type celltype) |
| std::vector< std::vector< std::vector< std::vector< int > > > > | sub_entity_connectivity (cell::type celltype) |
| xt::xtensor< double, 2 > | sub_entity_geometry (cell::type celltype, int dim, int index) |
| int | num_sub_entities (cell::type celltype, int dim) |
| int | topological_dimension (cell::type celltype) |
| cell::type | sub_entity_type (cell::type celltype, int dim, int index) |
| double | volume (cell::type cell_type) |
| xt::xtensor< double, 2 > | facet_outward_normals (cell::type cell_type) |
| xt::xtensor< double, 2 > | facet_normals (cell::type cell_type) |
| std::vector< bool > | facet_orientations (cell::type cell_type) |
| xt::xtensor< double, 1 > | facet_reference_volumes (cell::type cell_type) |
| std::vector< std::vector< cell::type > > | subentity_types (cell::type cell_type) |
| xt::xtensor< double, 3 > | facet_jacobians (cell::type cell_type) |
Information about reference cells.
This namespace include functions that can be used to obtain geometric and topological information about reference cells
| xt::xtensor< double, 3 > basix::cell::facet_jacobians | ( | cell::type | cell_type | ) |
Get the jacobians of the facets of a reference cell
| cell_type | Type of cell |
| xt::xtensor< double, 2 > basix::cell::facet_normals | ( | cell::type | cell_type | ) |
Get the normals to the facets of a reference cell oriented using the low-to-high ordering of the facet
| cell_type | Type of cell |
| std::vector< bool > basix::cell::facet_orientations | ( | cell::type | cell_type | ) |
Get an array of bools indicating whether or not the facet normals are outward pointing
| cell_type | Type of cell |
| xt::xtensor< double, 2 > basix::cell::facet_outward_normals | ( | cell::type | cell_type | ) |
Get the (outward) normals to the facets of a reference cell
| cell_type | Type of cell |
| xt::xtensor< double, 1 > basix::cell::facet_reference_volumes | ( | cell::type | cell_type | ) |
Get the reference volumes of the facets of a reference cell
| cell_type | Type of cell |
| xt::xtensor< double, 2 > basix::cell::geometry | ( | cell::type | celltype | ) |
Cell geometry
| celltype | Cell Type |
| int basix::cell::num_sub_entities | ( | cell::type | celltype, |
| int | dim | ||
| ) |
Number of sub-entities of a cell by topological dimension
| celltype | The cell::type |
| dim | Dimension of sub-entity |
| std::vector< std::vector< std::vector< std::vector< int > > > > basix::cell::sub_entity_connectivity | ( | cell::type | celltype | ) |
Get the numbers of entities connected to each subentity of the cell.
Returns a vector of the form: output[dim][entity_n][connected_dim] = [connected_entity_n0, connected_entity_n1, ...] This indicates that the entity of dimension dim and number entity_n is connected to the entities of dimension connected_dim and numbers connected_entity_n0, connected_entity_n1, ...
| celltype | Cell Type |
| xt::xtensor< double, 2 > basix::cell::sub_entity_geometry | ( | cell::type | celltype, |
| int | dim, | ||
| int | index | ||
| ) |
Sub-entity of a cell, given by topological dimension and index
| celltype | The cell::type |
| dim | Dimension of sub-entity |
| index | Local index of sub-entity |
| cell::type basix::cell::sub_entity_type | ( | cell::type | celltype, |
| int | dim, | ||
| int | index | ||
| ) |
Get the cell type of a sub-entity of given dimension and index
| celltype | Type of cell |
| dim | Topological dimension of sub-entity |
| index | Index of sub-entity |
| std::vector< std::vector< cell::type > > basix::cell::subentity_types | ( | cell::type | cell_type | ) |
Get the types of the subentities of a reference cell
| cell_type | Type of cell |
| int basix::cell::topological_dimension | ( | cell::type | celltype | ) |
Get the topological dimension for a given cell type
| celltype | Cell type |
| std::vector< std::vector< std::vector< int > > > basix::cell::topology | ( | cell::type | celltype | ) |
Cell topology
| celltype | Cell Type |
| double basix::cell::volume | ( | cell::type | cell_type | ) |
Get the volume of a reference cell
| cell_type | Type of cell |