wmtk::simplex::internal Namespace Reference

This class is a utility to perform breadth first search on simplices. More...

Classes
struct	HomogeneousSimplexEqualFunctor
struct	HomogeneousSimplexLessFunctor
struct	SimplexEqualFunctor
struct	SimplexLessFunctor
class	VisitedArray

Functions
std::vector< Tuple >	coface_preserving_boundary_tuples (const Mesh &mesh, const Tuple &t, PrimitiveType pt, PrimitiveType coface_pt)
	Returns the boundary of a simplex ignoring some sorts of switches. More...
std::vector< Tuple >	boundary_with_preserved_face_tuples (const Mesh &mesh, const Tuple &t, PrimitiveType pt, PrimitiveType face_pt)
	Returns the faces (single-dimension) of a simplex that are also cofaces of a given face. More...
std::vector< Tuple >	boundary_with_preserved_face_tuples (const Mesh &mesh, const Simplex &simplex, PrimitiveType face_pt)
	Returns the faces (single-dimension) of a simplex that are also cofaces of a given face. More...
std::vector< Simplex >	boundary_with_preserved_face_simplices (const Mesh &mesh, const Tuple &t, PrimitiveType pt, PrimitiveType face_pt)
	Returns the faces (single-dimension) of a simplex that are also cofaces of a given face. More...
std::vector< Simplex >	boundary_with_preserved_face_simplices (const Mesh &mesh, const Simplex &simplex, PrimitiveType face_pt)
	Returns the faces (single-dimension) of a simplex that are also cofaces of a given face. More...

Detailed Description

This class is a utility to perform breadth first search on simplices.

Function Documentation

boundary_with_preserved_face_simplices() [1/2]

std::vector< Simplex > wmtk::simplex::internal::boundary_with_preserved_face_simplices	(	const Mesh &	mesh,
		const Simplex &	simplex,
		PrimitiveType	face_pt
	)

Returns the faces (single-dimension) of a simplex that are also cofaces of a given face.

Parameters

mesh	The mesh containing the simplex.
simplex	The simplex whose faces we are computing.
face_pt	Primitive type of the face being preserved.

Returns

Faces of simplex that also are cofaces of the simplex(simplex.tuple(), face_pt).

Definition at line 72 of file boundary_with_preserved_face.cpp.

References boundary_with_preserved_face_simplices(), wmtk::simplex::Simplex::primitive_type(), and wmtk::simplex::Simplex::tuple().

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boundary_with_preserved_face_simplices() [2/2]

std::vector< Simplex > wmtk::simplex::internal::boundary_with_preserved_face_simplices	(	const Mesh &	mesh,
		const Tuple &	t,
		PrimitiveType	pt,
		PrimitiveType	face_pt
	)

Returns the faces (single-dimension) of a simplex that are also cofaces of a given face.

Say the l-simplex B is a face of a k-simplex S, then this function returns the faces of S that are also cofaces of B. B and S are encoded within a single tuple t and two primitive types pt and face_pt. The returned tuples always contain B.

This function supports cofaces_single_dimension.

Parameters

mesh	The mesh containing the simplex.
tuple	The tuple of the simplex whose faces we are computing.
pt	Primitive type of the simplex whose faces we are computing.
face_pt	Primitive type of the face being preserved.

Returns

Faces of the simplex(t,pt) that also are cofaces of the simplex(t, face_pt).

Definition at line 57 of file boundary_with_preserved_face.cpp.

References boundary_with_preserved_face_tuples(), wmtk::get_primitive_type_from_id(), wmtk::get_primitive_type_id(), wmtk::simplex::utils::tuple_vector_to_homogeneous_simplex_vector(), and wmtk::Vertex.

Referenced by boundary_with_preserved_face_simplices().

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boundary_with_preserved_face_tuples() [1/2]

std::vector< Tuple > wmtk::simplex::internal::boundary_with_preserved_face_tuples	(	const Mesh &	mesh,
		const Simplex &	simplex,
		PrimitiveType	face_pt
	)

Returns the faces (single-dimension) of a simplex that are also cofaces of a given face.

Parameters

mesh	The mesh containing the simplex.
simplex	The simplex whose faces we are computing.
face_pt	Primitive type of the face being preserved.

Returns

Faces of simplex that also are cofaces of the simplex(simplex.tuple(), face_pt).

Definition at line 48 of file boundary_with_preserved_face.cpp.

References boundary_with_preserved_face_tuples(), wmtk::simplex::Simplex::primitive_type(), and wmtk::simplex::Simplex::tuple().

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boundary_with_preserved_face_tuples() [2/2]

std::vector< Tuple > wmtk::simplex::internal::boundary_with_preserved_face_tuples	(	const Mesh &	mesh,
		const Tuple &	t,
		PrimitiveType	pt,
		PrimitiveType	face_pt
	)

Returns the faces (single-dimension) of a simplex that are also cofaces of a given face.

Say the l-simplex B is a face of a k-simplex S, then this function returns the faces of S that are also cofaces of B. B and S are encoded within a single tuple t and two primitive types pt and face_pt. The returned tuples always contain B.

This function supports cofaces_single_dimension.

Example 1: given a triangle and a vertex that is a face of the triangle, this function computes the edges that are faces of the triangle and also cofaces of the vertex.

Example 2: given a tetrahedron and a vertex that is a face of the tetrahedron, this function computes the triangles that are faces of the tetrahedron and also cofaces of the vertex.

Example 3: given a tetrahedron and an edge that is a face of the tetrahedron, this function computes the triangles that are faces of the tetrahedron and also cofaces of the edge.

Parameters

mesh	The mesh containing the simplex.
tuple	The tuple of the simplex whose faces we are computing.
pt	Primitive type of the simplex whose faces we are computing.
face_pt	Primitive type of the face being preserved.

Returns

Faces of the simplex(t,pt) that also are cofaces of the simplex(t, face_pt).

Definition at line 7 of file boundary_with_preserved_face.cpp.

References wmtk::Edge, wmtk::PE, PF, PT, wmtk::PV, wmtk::Mesh::switch_tuples(), wmtk::Tetrahedron, wmtk::Triangle, and wmtk::Vertex.

Referenced by boundary_with_preserved_face_simplices(), boundary_with_preserved_face_tuples(), and wmtk::simplex::cofaces_single_dimension_tuples().

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coface_preserving_boundary_tuples()

std::vector<Tuple> wmtk::simplex::internal::coface_preserving_boundary_tuples	(	const Mesh &	mesh,
		const Tuple &	t,
		PrimitiveType	pt,
		PrimitiveType	coface_pt
	)

Returns the boundary of a simplex ignoring some sorts of switches.

Say the input k-simplex S is a coface of a l-simplex B. Then this function returns the boundary simplices of S that are still cofaces. Because preserving being a coface of B does not require tracking B itself, but just its dimension l we pass in a primitive type instead. This function supports cofaces_single_dimension.

Parameters

mesh	The mesh containing the simplex
tuple	The tuple of the simplex
pt	primitive type of the simplex
coface_pt	primitive type of the coface

Returns

boundary of the tuple