#include <NCMesh2D.hpp>

Inheritance diagram for polyfem::mesh::NCMesh2D:

Collaboration diagram for polyfem::mesh::NCMesh2D:

Classes
struct	ArrayHasher2D

struct	follower_edge

struct	follower_face

struct	ncBoundary

struct	ncElem

struct	ncVert

Public Member Functions
	NCMesh2D ()=default

virtual	~NCMesh2D ()=default

	NCMesh2D (NCMesh2D &&)=default

NCMesh2D &	operator= (NCMesh2D &&)=default

	NCMesh2D (const NCMesh2D &)=default

NCMesh2D &	operator= (const NCMesh2D &)=default

bool	is_conforming () const override
	if the mesh is conforming

int	n_faces () const override
	number of faces

int	n_edges () const override
	number of edges

int	n_vertices () const override
	number of vertices

int	n_face_vertices (const int f_id) const override
	number of vertices of a face

int	face_ref_level (const int f_id) const

int	face_vertex (const int f_id, const int lv_id) const override
	id of the face vertex

int	edge_vertex (const int e_id, const int lv_id) const override
	id of the edge vertex

int	cell_vertex (const int f_id, const int lv_id) const override
	id of the vertex of a cell

int	face_edge (const int f_id, const int le_id) const

int	leader_edge_of_vertex (const int v_id) const

int	leader_edge_of_edge (const int e_id) const

int	n_follower_edges (const int e_id) const

int	n_face_neighbors (const int e_id) const

int	face_neighbor (const int e_id) const

bool	is_boundary_vertex (const int vertex_global_id) const override
	is vertex boundary

bool	is_boundary_edge (const int edge_global_id) const override
	is edge boundary

bool	is_boundary_element (const int element_global_id) const override
	is cell boundary

void	refine (const int n_refinement, const double t) override
	refine the mesh

bool	save (const std::string &path) const override

bool	build_from_matrices (const Eigen::MatrixXd &V, const Eigen::MatrixXi &F) override
	build a mesh from matrices

void	attach_higher_order_nodes (const Eigen::MatrixXd &V, const std::vector< std::vector< int > > &nodes) override
	attach high order nodes

std::pair< RowVectorNd, int >	edge_node (const Navigation::Index &index, const int n_new_nodes, const int i) const override

std::pair< RowVectorNd, int >	face_node (const Navigation::Index &index, const int n_new_nodes, const int i, const int j) const override

void	normalize () override
	normalize the mesh

double	edge_length (const int gid) const override
	edge length

void	compute_elements_tag () override
	compute element types, see ElementType

void	update_elements_tag () override
	Update elements types.

void	set_point (const int global_index, const RowVectorNd &p) override
	Set the point.

RowVectorNd	point (const int global_index) const override
	point coordinates

RowVectorNd	edge_barycenter (const int index) const override
	edge barycenter

void	bounding_box (RowVectorNd &min, RowVectorNd &max) const override
	computes the bbox of the mesh

void	compute_boundary_ids (const std::function< int(const size_t, const std::vector< int > &, const RowVectorNd &, bool)> &marker) override
	computes boundary selections based on a function

void	compute_body_ids (const std::function< int(const size_t, const std::vector< int > &, const RowVectorNd &)> &marker) override
	computes boundary selections based on a function

void	set_boundary_ids (const std::vector< int > &boundary_ids) override
	Set the boundary selection from a vector.

void	set_body_ids (const std::vector< int > &body_ids) override
	Set the volume sections.

int	get_boundary_id (const int primitive) const override
	Get the boundary selection of an element (face in 3d, edge in 2d)

int	get_body_id (const int primitive) const override
	Get the volume selection of an element (cell in 3d, face in 2d)

Navigation::Index	get_index_from_face (int f, int lv=0) const override

Navigation::Index	switch_vertex (Navigation::Index idx) const override

Navigation::Index	switch_edge (Navigation::Index idx) const override

Navigation::Index	switch_face (Navigation::Index idx) const override

void	refine_element (int id_full)

void	refine_elements (const std::vector< int > &ids)

void	coarsen_element (int id_full)

void	mark_boundary ()

void	prepare_mesh () override
	method used to finalize the mesh.

void	build_index_mapping ()

void	append (const Mesh &mesh) override
	appends a new mesh to the end of this

std::unique_ptr< Mesh >	copy () const override
	Create a copy of the mesh.

Public Member Functions inherited from polyfem::mesh::Mesh2D
	Mesh2D ()=default

virtual	~Mesh2D ()=default

	Mesh2D (Mesh2D &&)=default

Mesh2D &	operator= (Mesh2D &&)=default

	Mesh2D (const Mesh2D &)=default

Mesh2D &	operator= (const Mesh2D &)=default

bool	is_volume () const override
	checks if mesh is volume

int	n_cells () const override
	number of cells

int	n_cell_vertices (const int c_id) const override
	number of vertices of a cell

bool	is_boundary_face (const int face_global_id) const override
	is face boundary

RowVectorNd	cell_barycenter (const int index) const override
	cell barycenter

void	compute_face_jacobian (const int el_id, const Eigen::MatrixXd &reference_map, Eigen::MatrixXd &jacobian) const

void	barycentric_coords (const RowVectorNd &p, const int el_id, Eigen::MatrixXd &coord) const override
	constructs barycentric coodiantes for a point p.

RowVectorNd	face_barycenter (const int index) const override
	face barycenter

void	compute_element_barycenters (Eigen::MatrixXd &barycenters) const override
	utility for 2d/3d.

void	elements_boxes (std::vector< std::array< Eigen::Vector3d, 2 > > &boxes) const override
	constructs a box around every element (3d cell, 2d face)

Navigation::Index	next_around_face (Navigation::Index idx) const

Navigation::Index	next_around_vertex (Navigation::Index idx) const

void	get_edges (Eigen::MatrixXd &p0, Eigen::MatrixXd &p1) const override
	Get all the edges.

void	get_edges (Eigen::MatrixXd &p0, Eigen::MatrixXd &p1, const std::vector< bool > &valid_elements) const override
	Get all the edges according to valid_elements selection.

Public Member Functions inherited from polyfem::mesh::Mesh
virtual	~Mesh ()=default
	Destroy the Mesh object.

	Mesh (Mesh &&)=default
	Construct a new Mesh object.

Mesh &	operator= (Mesh &&)=default
	Copy constructor.

	Mesh (const Mesh &)=default
	Construct a new Mesh object.

Mesh &	operator= (const Mesh &)=default

int	dimension () const
	utily for dimension

int	n_elements () const
	utitlity to return the number of elements, cells or faces in 3d and 2d

int	n_boundary_elements () const
	utitlity to return the number of boundary elements, faces or edges in 3d and 2d

int	element_vertex (const int el_id, const int lv_id) const
	id of the vertex of a element

std::vector< int >	element_vertices (const int el_id) const
	list of vids of an element

int	boundary_element_vertex (const int primitive_id, const int lv_id) const

const Eigen::MatrixXi &	orders () const
	order of each element

bool	is_rational () const
	check if curved mesh has rational polynomials elements

void	set_is_rational (const bool in_is_rational)
	Set the is rational object.

virtual double	quad_area (const int gid) const
	area of a quad face of an hex mesh

virtual double	tri_area (const int gid) const
	area of a tri face of a tet mesh

void	edge_barycenters (Eigen::MatrixXd &barycenters) const
	all edges barycenters

void	face_barycenters (Eigen::MatrixXd &barycenters) const
	all face barycenters

void	cell_barycenters (Eigen::MatrixXd &barycenters) const
	all cells barycenters

bool	is_spline_compatible (const int el_id) const
	checks if element is spline compatible

bool	is_cube (const int el_id) const
	checks if element is cube compatible

bool	is_polytope (const int el_id) const
	checks if element is polygon compatible

bool	is_simplex (const int el_id) const
	checks if element is simples compatible

const std::vector< ElementType > &	elements_tag () const
	Returns the elements types.

void	set_tag (const int el, const ElementType type)
	changes the element type

void	compute_node_ids (const std::function< int(const size_t, const RowVectorNd &, bool)> &marker)
	computes boundary selections based on a function

virtual void	load_boundary_ids (const std::string &path)
	loads the boundary selections for a file

virtual int	get_default_boundary_id (const int primitive) const
	Get the default boundary selection of an element (face in 3d, edge in 2d)

virtual int	get_node_id (const int node_id) const
	Get the boundary selection of a node.

void	update_nodes (const Eigen::VectorXi &in_node_to_node)
	Update the node ids to reorder them.

virtual const std::vector< int > &	get_body_ids () const
	Get the volume selection of all elements (cells in 3d, faces in 2d)

bool	has_node_ids () const
	checks if points selections are available

bool	has_boundary_ids () const
	checks if surface selections are available

virtual bool	has_body_ids () const
	checks if volumes selections are available

const std::vector< double > &	cell_weights (const int cell_index) const
	weights for rational polynomial meshes

void	set_cell_weights (const std::vector< std::vector< double > > &in_cell_weights)
	Set the cell weights for rational polynomial meshes.

bool	has_poly () const
	checks if the mesh has polytopes

bool	is_simplicial () const
	checks if the mesh is simplicial

bool	is_linear () const
	check if the mesh is linear

std::vector< std::pair< int, int > >	edges () const
	list of sorted edges.

std::vector< std::vector< int > >	faces () const
	list of sorted faces.

std::unordered_map< std::pair< int, int >, size_t, polyfem::utils::HashPair >	edges_to_ids () const
	map from edge (pair of v id) to the id of the edge

std::unordered_map< std::vector< int >, size_t, polyfem::utils::HashVector >	faces_to_ids () const
	map from face (tuple of v id) to the id of the face

const Eigen::VectorXi &	in_ordered_vertices () const
	Order of the input vertices.

const Eigen::MatrixXi &	in_ordered_edges () const
	Order of the input edges.

const Eigen::MatrixXi &	in_ordered_faces () const
	Order of the input edges.

void	append (const std::unique_ptr< Mesh > &mesh)
	appends a new mesh to the end of this, utility that takes pointer, calls other one

void	apply_affine_transformation (const MatrixNd &A, const VectorNd &b)
	Apply an affine transformation \(Ax+b\) to the vertex positions \(x\).

Static Public Member Functions
static double	element_weight_to_edge_weight (const int l, const Eigen::Vector2d &pos)

Static Public Member Functions inherited from polyfem::mesh::Mesh
static std::unique_ptr< Mesh >	create (const std::string &path, const bool non_conforming=false)
	factory to build the proper mesh

static std::unique_ptr< Mesh >	create (GEO::Mesh &M, const bool non_conforming=false)
	factory to build the proper mesh

static std::unique_ptr< Mesh >	create (const Eigen::MatrixXd &vertices, const Eigen::MatrixXi &cells, const bool non_conforming=false)
	factory to build the proper mesh

static std::unique_ptr< Mesh >	create (const int dim, const bool non_conforming=false)
	factory to build the proper empty mesh

Protected Member Functions
bool	load (const std::string &path) override
	loads a mesh from the path

bool	load (const GEO::Mesh &mesh) override
	loads a mesh from a geo mesh

int	all_to_valid_vertex (const int id) const

int	valid_to_all_vertex (const int id) const

int	all_to_valid_edge (const int id) const

int	valid_to_all_edge (const int id) const

int	all_to_valid_elem (const int id) const

int	valid_to_all_elem (const int id) const

int	find_vertex (Eigen::Vector2i v) const

int	find_vertex (const int v1, const int v2) const

int	get_vertex (Eigen::Vector2i v)

int	find_edge (Eigen::Vector2i v) const

int	find_edge (const int v1, const int v2) const

int	get_edge (Eigen::Vector2i v)

int	get_edge (const int v1, const int v2)

void	traverse_edge (Eigen::Vector2i v, double p1, double p2, int depth, std::vector< follower_edge > &list) const

void	build_edge_follower_chain ()

void	build_element_vertex_adjacency ()

int	add_element (Eigen::Vector3i v, int parent=-1)

Protected Member Functions inherited from polyfem::mesh::Mesh
	Mesh ()=default
	Construct a new Mesh object.

Protected Attributes
int	n_elements = 0

bool	index_prepared = false

bool	adj_prepared = false

std::vector< ncElem >	elements

std::vector< ncVert >	vertices

std::vector< ncBoundary >	edges

std::unordered_map< Eigen::Vector2i, int, ArrayHasher2D >	midpointMap

std::unordered_map< Eigen::Vector2i, int, ArrayHasher2D >	edgeMap

std::vector< int >	all_to_valid_elemMap

std::vector< int >	valid_to_all_elemMap

std::vector< int >	all_to_valid_vertexMap

std::vector< int >	valid_to_all_vertexMap

std::vector< int >	all_to_valid_edgeMap

std::vector< int >	valid_to_all_edgeMap

std::vector< int >	refineHistory

Eigen::SparseMatrix< bool, Eigen::RowMajor >	elementAdj

Protected Attributes inherited from polyfem::mesh::Mesh
std::vector< ElementType >	elements_tag_
	list of element types

std::vector< int >	node_ids_
	list of node labels

std::vector< int >	boundary_ids_
	list of surface labels

std::vector< int >	body_ids_
	list of volume labels

Eigen::MatrixXi	orders_
	list of geometry orders, one per cell

bool	is_rational_ = false
	stores if the mesh is rational

std::vector< EdgeNodes >	edge_nodes_
	high-order nodes associates to edges

std::vector< FaceNodes >	face_nodes_
	high-order nodes associates to faces

std::vector< CellNodes >	cell_nodes_
	high-order nodes associates to cells

std::vector< std::vector< double > >	cell_weights_
	weights associates to cells for rational polynomail meshes

Eigen::VectorXi	in_ordered_vertices_
	Order of the input vertices.

Eigen::MatrixXi	in_ordered_edges_
	Order of the input edges.

Eigen::MatrixXi	in_ordered_faces_
	Order of the input faces, TODO: change to std::vector of Eigen::Vector.

Detailed Description

Definition at line 9 of file NCMesh2D.hpp.

Constructor & Destructor Documentation

◆ NCMesh2D() [1/3]

polyfem::mesh::NCMesh2D::NCMesh2D ( )

default

◆ ~NCMesh2D()

virtual polyfem::mesh::NCMesh2D::~NCMesh2D ( )

virtualdefault

◆ NCMesh2D() [2/3]

polyfem::mesh::NCMesh2D::NCMesh2D ( NCMesh2D && )

default

◆ NCMesh2D() [3/3]

polyfem::mesh::NCMesh2D::NCMesh2D ( const NCMesh2D & )

default

Member Function Documentation

◆ add_element()

int polyfem::mesh::NCMesh2D::add_element	(	Eigen::Vector3i	v,
		int	parent = `-1`
	)

protected

Definition at line 148 of file NCMesh2D.cpp.

References adj_prepared, edges, elements, get_edge(), index_prepared, n_elements, and vertices.

Referenced by append(), build_from_matrices(), load(), and refine_element().

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◆ all_to_valid_edge()

int polyfem::mesh::NCMesh2D::all_to_valid_edge ( const int id ) const

inlineprotected

Definition at line 330 of file NCMesh2D.hpp.

References all_to_valid_edgeMap, and index_prepared.

Referenced by face_edge(), get_index_from_face(), leader_edge_of_edge(), leader_edge_of_vertex(), and switch_edge().

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◆ all_to_valid_elem()

int polyfem::mesh::NCMesh2D::all_to_valid_elem ( const int id ) const

inlineprotected

Definition at line 344 of file NCMesh2D.hpp.

References all_to_valid_elemMap, and index_prepared.

Referenced by face_neighbor().

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◆ all_to_valid_vertex()

int polyfem::mesh::NCMesh2D::all_to_valid_vertex ( const int id ) const

inlineprotected

Definition at line 318 of file NCMesh2D.hpp.

References all_to_valid_vertexMap, and index_prepared.

Referenced by cell_vertex(), edge_vertex(), face_vertex(), get_index_from_face(), and switch_vertex().

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◆ append()

void polyfem::mesh::NCMesh2D::append ( const Mesh & mesh )

overridevirtual

appends a new mesh to the end of this

Parameters

[in] mesh to append

Reimplemented from polyfem::mesh::Mesh.

Definition at line 492 of file NCMesh2D.cpp.

References add_element(), polyfem::mesh::Mesh::append(), elements, n_faces(), n_vertices(), prepare_mesh(), and vertices.

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◆ attach_higher_order_nodes()

void polyfem::mesh::NCMesh2D::attach_higher_order_nodes	(	const Eigen::MatrixXd &	V,
		const std::vector< std::vector< int > > &	nodes
	)

overridevirtual

attach high order nodes

Parameters

[in]	V	nodes
[in]	nodes	list of nodes per element

Implements polyfem::mesh::Mesh.

Definition at line 71 of file NCMesh2D.cpp.

References n_faces().

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◆ bounding_box()

void polyfem::mesh::NCMesh2D::bounding_box	(	RowVectorNd &	min,
		RowVectorNd &	max
	)		const

overridevirtual

computes the bbox of the mesh

Parameters

[out]	min	min coodiante
[out]	max	max coodiante

Implements polyfem::mesh::Mesh.

Definition at line 590 of file NCMesh2D.cpp.

References vertices.

Referenced by normalize().

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◆ build_edge_follower_chain()

void polyfem::mesh::NCMesh2D::build_edge_follower_chain ( )

protected

Definition at line 299 of file NCMesh2D.cpp.

References edges, elements, and traverse_edge().

Referenced by prepare_mesh().

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◆ build_element_vertex_adjacency()

void polyfem::mesh::NCMesh2D::build_element_vertex_adjacency ( )

protected

Definition at line 375 of file NCMesh2D.cpp.

References edges, elements, polyfem::mesh::find(), polyfem::mesh::line_weight(), and vertices.

Referenced by prepare_mesh().

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◆ build_from_matrices()

bool polyfem::mesh::NCMesh2D::build_from_matrices	(	const Eigen::MatrixXd &	V,
		const Eigen::MatrixXi &	F
	)

overridevirtual

build a mesh from matrices

Parameters

[in]	V	vertices
[in]	F	connectivity

Returns: if success

Implements polyfem::mesh::Mesh.

Definition at line 39 of file NCMesh2D.cpp.

References add_element(), adj_prepared, edgeMap, edges, elements, polyfem::F, index_prepared, midpointMap, n_elements, polyfem::mesh::orient_normals_2d(), prepare_mesh(), refineHistory, polyfem::mesh::to_geogram_mesh(), V, and vertices.

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◆ build_index_mapping()

void polyfem::mesh::NCMesh2D::build_index_mapping ( )

Definition at line 450 of file NCMesh2D.cpp.

References all_to_valid_edgeMap, all_to_valid_elemMap, all_to_valid_vertexMap, edges, elements, index_prepared, n_edges(), n_elements, n_vertices(), valid_to_all_edgeMap, valid_to_all_elemMap, valid_to_all_vertexMap, and vertices.

Referenced by prepare_mesh().

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◆ cell_vertex()

int polyfem::mesh::NCMesh2D::cell_vertex	(	const int	f_id,
		const int	lv_id
	)		const

inlineoverridevirtual

id of the vertex of a cell

Parameters

[in]	f_id	global cell id
[in]	lv_id	local vertex id

Returns: vertex id

Implements polyfem::mesh::Mesh.

Definition at line 193 of file NCMesh2D.hpp.

References all_to_valid_vertex(), elements, valid_to_all_elem(), and vertices.

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◆ coarsen_element()

void polyfem::mesh::NCMesh2D::coarsen_element ( int id_full )

Definition at line 254 of file NCMesh2D.cpp.

References adj_prepared, edges, elements, index_prepared, n_elements, refineHistory, and vertices.

◆ compute_body_ids()

void polyfem::mesh::NCMesh2D::compute_body_ids ( const std::function< int(const size_t, const std::vector< int > &, const RowVectorNd &)> & marker )

overridevirtual

computes boundary selections based on a function

Parameters

[in] marker lambda function that takes the id and barycenter and returns an integer

Implements polyfem::mesh::Mesh.

Definition at line 800 of file NCMesh2D.cpp.

References polyfem::mesh::Mesh::body_ids_, polyfem::mesh::Mesh::element_vertices(), elements, polyfem::mesh::Mesh2D::face_barycenter(), n_faces(), and valid_to_all_elem().

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◆ compute_boundary_ids()

void polyfem::mesh::NCMesh2D::compute_boundary_ids ( const std::function< int(const size_t, const std::vector< int > &, const RowVectorNd &, bool)> & marker )

overridevirtual

computes boundary selections based on a function

Parameters

[in] marker lambda function that takes the id, the list of vertices, the barycenter, and true/false if the element is on the boundary and returns an integer

Implements polyfem::mesh::Mesh.

Definition at line 813 of file NCMesh2D.cpp.

References polyfem::mesh::Mesh::boundary_ids_, edge_barycenter(), edge_vertex(), edges, is_boundary_edge(), n_edges(), and valid_to_all_edge().

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◆ compute_elements_tag()

void polyfem::mesh::NCMesh2D::compute_elements_tag ( )

overridevirtual

compute element types, see ElementType

Implements polyfem::mesh::Mesh.

Definition at line 703 of file NCMesh2D.cpp.

References polyfem::mesh::Mesh::elements_tag_, n_faces(), and polyfem::mesh::SIMPLEX.

Referenced by prepare_mesh().

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◆ copy()

std::unique_ptr< Mesh > polyfem::mesh::NCMesh2D::copy ( ) const

overridevirtual

Create a copy of the mesh.

Returns: pointer to the new copy mesh

Implements polyfem::mesh::Mesh.

Definition at line 517 of file NCMesh2D.cpp.

◆ edge_barycenter()

RowVectorNd polyfem::mesh::NCMesh2D::edge_barycenter ( const int e ) const

overridevirtual

edge barycenter

Parameters

[in] e global edge index

Returns: edge barycenter

Implements polyfem::mesh::Mesh.

Definition at line 717 of file NCMesh2D.cpp.

References edge_vertex(), and point().

Referenced by compute_boundary_ids().

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◆ edge_length()

double polyfem::mesh::NCMesh2D::edge_length ( const int gid ) const

overridevirtual

edge length

Parameters

[in] gid global edge id

Returns: edge length

Reimplemented from polyfem::mesh::Mesh.

Definition at line 695 of file NCMesh2D.cpp.

References edge_vertex(), and point().

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◆ edge_node()

std::pair< RowVectorNd, int > polyfem::mesh::NCMesh2D::edge_node	(	const Navigation::Index &	index,
		const int	n_new_nodes,
		const int	i
	)		const

overridevirtual

Implements polyfem::mesh::Mesh2D.

Definition at line 77 of file NCMesh2D.cpp.

References point(), switch_vertex(), and polyfem::mesh::Navigation::Index::vertex.

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◆ edge_vertex()

int polyfem::mesh::NCMesh2D::edge_vertex	(	const int	e_id,
		const int	lv_id
	)		const

inlineoverridevirtual

id of the edge vertex

Parameters

[in]	e_id	global edge id
[in]	lv_id	local vertex index

Returns: int id of the face vertex

Implements polyfem::mesh::Mesh.

Definition at line 192 of file NCMesh2D.hpp.

References all_to_valid_vertex(), edges, valid_to_all_edge(), and vertices.

Referenced by compute_boundary_ids(), edge_barycenter(), and edge_length().

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◆ element_weight_to_edge_weight()

double polyfem::mesh::NCMesh2D::element_weight_to_edge_weight	(	const int	l,
		const Eigen::Vector2d &	pos
	)

static

Definition at line 427 of file NCMesh2D.cpp.

◆ face_edge()

int polyfem::mesh::NCMesh2D::face_edge	(	const int	f_id,
		const int	le_id
	)		const

inline

Definition at line 195 of file NCMesh2D.hpp.

References all_to_valid_edge(), edges, elements, and valid_to_all_elem().

Referenced by is_boundary_element().

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◆ face_neighbor()

int polyfem::mesh::NCMesh2D::face_neighbor ( const int e_id ) const

inline

Definition at line 216 of file NCMesh2D.hpp.

References all_to_valid_elem(), edges, and valid_to_all_edge().

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◆ face_node()

std::pair< RowVectorNd, int > polyfem::mesh::NCMesh2D::face_node	(	const Navigation::Index &	index,
		const int	n_new_nodes,
		const int	i,
		const int	j
	)		const

overridevirtual

Implements polyfem::mesh::Mesh2D.

Definition at line 86 of file NCMesh2D.cpp.

References point(), switch_edge(), switch_vertex(), and polyfem::mesh::Navigation::Index::vertex.

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◆ face_ref_level()

int polyfem::mesh::NCMesh2D::face_ref_level ( const int f_id ) const

inline

Definition at line 189 of file NCMesh2D.hpp.

References elements, and valid_to_all_elem().

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◆ face_vertex()

int polyfem::mesh::NCMesh2D::face_vertex	(	const int	f_id,
		const int	lv_id
	)		const

inlineoverridevirtual

id of the face vertex

Parameters

[in]	f_id	global face id
[in]	lv_id	local vertex index

Returns: int id of the face vertex

Implements polyfem::mesh::Mesh.

Definition at line 191 of file NCMesh2D.hpp.

References all_to_valid_vertex(), elements, valid_to_all_elem(), and vertices.

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◆ find_edge() [1/2]

int polyfem::mesh::NCMesh2D::find_edge	(	const int	v1,
		const int	v2
	)		const

inlineprotected

Definition at line 364 of file NCMesh2D.hpp.

References find_edge().

Referenced by find_edge().

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◆ find_edge() [2/2]

int polyfem::mesh::NCMesh2D::find_edge ( Eigen::Vector2i v ) const

protected

Definition at line 125 of file NCMesh2D.cpp.

References edgeMap.

Referenced by get_edge(), refine_element(), and traverse_edge().

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◆ find_vertex() [1/2]

int polyfem::mesh::NCMesh2D::find_vertex	(	const int	v1,
		const int	v2
	)		const

inlineprotected

Definition at line 357 of file NCMesh2D.hpp.

References find_vertex().

Referenced by find_vertex().

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◆ find_vertex() [2/2]

int polyfem::mesh::NCMesh2D::find_vertex ( Eigen::Vector2i v ) const

protected

Definition at line 101 of file NCMesh2D.cpp.

References midpointMap.

Referenced by get_vertex(), refine_element(), and traverse_edge().

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◆ get_body_id()

int polyfem::mesh::NCMesh2D::get_body_id ( const int primitive ) const

inlineoverridevirtual

Get the volume selection of an element (cell in 3d, face in 2d)

Parameters

[in] primitive element id

Returns: label of element

Reimplemented from polyfem::mesh::Mesh.

Definition at line 262 of file NCMesh2D.hpp.

References elements, and valid_to_all_elem().

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◆ get_boundary_id()

int polyfem::mesh::NCMesh2D::get_boundary_id ( const int primitive ) const

inlineoverridevirtual

Get the boundary selection of an element (face in 3d, edge in 2d)

Parameters

[in] primitive element id

Returns: label of element

Reimplemented from polyfem::mesh::Mesh.

Definition at line 261 of file NCMesh2D.hpp.

References edges, and valid_to_all_edge().

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◆ get_edge() [1/2]

int polyfem::mesh::NCMesh2D::get_edge	(	const int	v1,
		const int	v2
	)

inlineprotected

Definition at line 368 of file NCMesh2D.hpp.

References get_edge().

Referenced by get_edge().

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◆ get_edge() [2/2]

int polyfem::mesh::NCMesh2D::get_edge ( Eigen::Vector2i v )

protected

Definition at line 135 of file NCMesh2D.cpp.

References edgeMap, edges, and find_edge().

Referenced by add_element(), and refine_element().

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◆ get_index_from_face()

Navigation::Index polyfem::mesh::NCMesh2D::get_index_from_face	(	int	f,
		int	lv = `0`
	)		const

overridevirtual

Implements polyfem::mesh::Mesh2D.

Definition at line 607 of file NCMesh2D.cpp.

References all_to_valid_edge(), all_to_valid_vertex(), polyfem::mesh::Navigation::Index::edge, elements, polyfem::mesh::Navigation::Index::face, polyfem::mesh::Navigation::Index::face_corner, valid_to_all_elem(), and polyfem::mesh::Navigation::Index::vertex.

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◆ get_vertex()

int polyfem::mesh::NCMesh2D::get_vertex ( Eigen::Vector2i v )

protected

Definition at line 111 of file NCMesh2D.cpp.

References find_vertex(), midpointMap, and vertices.

Referenced by refine_element().

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◆ is_boundary_edge()

bool polyfem::mesh::NCMesh2D::is_boundary_edge ( const int edge_global_id ) const

inlineoverridevirtual

is edge boundary

Parameters

[in] edge_global_id global edge id

Returns: is edge boundary

Implements polyfem::mesh::Mesh.

Definition at line 219 of file NCMesh2D.hpp.

References edges, and valid_to_all_edge().

Referenced by compute_boundary_ids(), and is_boundary_element().

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◆ is_boundary_element()

bool polyfem::mesh::NCMesh2D::is_boundary_element ( const int element_global_id ) const

overridevirtual

is cell boundary

Parameters

[in] element_global_id global cell id

Returns: is cell boundary

Implements polyfem::mesh::Mesh.

Definition at line 13 of file NCMesh2D.cpp.

References face_edge(), index_prepared, is_boundary_edge(), and n_face_vertices().

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◆ is_boundary_vertex()

bool polyfem::mesh::NCMesh2D::is_boundary_vertex ( const int vertex_global_id ) const

inlineoverridevirtual

is vertex boundary

Parameters

[in] vertex_global_id global vertex id

Returns: is vertex boundary

Implements polyfem::mesh::Mesh.

Definition at line 218 of file NCMesh2D.hpp.

References valid_to_all_vertex(), and vertices.

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◆ is_conforming()

bool polyfem::mesh::NCMesh2D::is_conforming ( ) const

inlineoverridevirtual

if the mesh is conforming

Returns: if the mesh is conforming

Implements polyfem::mesh::Mesh.

Definition at line 166 of file NCMesh2D.hpp.

◆ leader_edge_of_edge()

int polyfem::mesh::NCMesh2D::leader_edge_of_edge ( const int e_id ) const

inline

Definition at line 201 of file NCMesh2D.hpp.

References adj_prepared, all_to_valid_edge(), edges, and valid_to_all_edge().

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◆ leader_edge_of_vertex()

int polyfem::mesh::NCMesh2D::leader_edge_of_vertex ( const int v_id ) const

inline

Definition at line 196 of file NCMesh2D.hpp.

References adj_prepared, all_to_valid_edge(), valid_to_all_vertex(), and vertices.

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◆ load() [1/2]

bool polyfem::mesh::NCMesh2D::load ( const GEO::Mesh & M )

overrideprotectedvirtual

loads a mesh from a geo mesh

Parameters

[in] M geo mesh

Returns: if success

Implements polyfem::mesh::Mesh.

Definition at line 554 of file NCMesh2D.cpp.

References add_element(), polyfem::F, n_elements, polyfem::mesh::orient_normals_2d(), prepare_mesh(), V, and vertices.

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◆ load() [2/2]

bool polyfem::mesh::NCMesh2D::load ( const std::string & path )

overrideprotectedvirtual

loads a mesh from the path

Parameters

[in] path file location

Returns: if success

Implements polyfem::mesh::Mesh.

Definition at line 548 of file NCMesh2D.cpp.

◆ mark_boundary()

void polyfem::mesh::NCMesh2D::mark_boundary ( )

Definition at line 332 of file NCMesh2D.cpp.

References edges, and vertices.

Referenced by prepare_mesh().

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◆ n_edges()

int polyfem::mesh::NCMesh2D::n_edges ( ) const

inlineoverridevirtual

number of edges

Returns: number of edges

Implements polyfem::mesh::Mesh.

Definition at line 169 of file NCMesh2D.hpp.

References edges.

Referenced by build_index_mapping(), compute_boundary_ids(), and set_boundary_ids().

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◆ n_face_neighbors()

int polyfem::mesh::NCMesh2D::n_face_neighbors ( const int e_id ) const

inline

Definition at line 214 of file NCMesh2D.hpp.

References edges, and valid_to_all_edge().

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◆ n_face_vertices()

int polyfem::mesh::NCMesh2D::n_face_vertices ( const int f_id ) const

inlineoverridevirtual

number of vertices of a face

Parameters

[in] f_id global face id

Returns: number of vertices

Implements polyfem::mesh::Mesh.

Definition at line 187 of file NCMesh2D.hpp.

Referenced by is_boundary_element().

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◆ n_faces()

int polyfem::mesh::NCMesh2D::n_faces ( ) const

inlineoverridevirtual

number of faces

Returns: number of faces

Implements polyfem::mesh::Mesh.

Definition at line 168 of file NCMesh2D.hpp.

References n_elements.

Referenced by append(), attach_higher_order_nodes(), compute_body_ids(), compute_elements_tag(), set_body_ids(), and update_elements_tag().

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◆ n_follower_edges()

int polyfem::mesh::NCMesh2D::n_follower_edges ( const int e_id ) const

inline

Definition at line 208 of file NCMesh2D.hpp.

References adj_prepared, edges, and valid_to_all_edge().

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◆ n_vertices()

int polyfem::mesh::NCMesh2D::n_vertices ( ) const

inlineoverridevirtual

number of vertices

Returns: number of vertices

Implements polyfem::mesh::Mesh.

Definition at line 177 of file NCMesh2D.hpp.

References vertices.

Referenced by append(), and build_index_mapping().

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◆ normalize()

void polyfem::mesh::NCMesh2D::normalize ( )

overridevirtual

normalize the mesh

Implements polyfem::mesh::Mesh.

Definition at line 683 of file NCMesh2D.cpp.

References bounding_box(), and vertices.

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◆ operator=() [1/2]

NCMesh2D & polyfem::mesh::NCMesh2D::operator= ( const NCMesh2D & )

default

◆ operator=() [2/2]

NCMesh2D & polyfem::mesh::NCMesh2D::operator= ( NCMesh2D && )

default

◆ point()

RowVectorNd polyfem::mesh::NCMesh2D::point ( const int global_index ) const

inlineoverridevirtual

point coordinates

Parameters

[in] global_index global vertex index

Returns: RowVectorNd

Implements polyfem::mesh::Mesh.

Definition at line 245 of file NCMesh2D.hpp.

References index_prepared, valid_to_all_vertex(), and vertices.

Referenced by edge_barycenter(), edge_length(), edge_node(), and face_node().

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◆ prepare_mesh()

void polyfem::mesh::NCMesh2D::prepare_mesh ( )

inlineoverridevirtual

method used to finalize the mesh.

It computes the cached stuff used in navigation

Reimplemented from polyfem::mesh::Mesh.

Definition at line 288 of file NCMesh2D.hpp.

References adj_prepared, build_edge_follower_chain(), build_element_vertex_adjacency(), build_index_mapping(), compute_elements_tag(), and mark_boundary().

Referenced by append(), build_from_matrices(), and load().

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◆ refine()

void polyfem::mesh::NCMesh2D::refine	(	const int	n_refinement,
		const double	t
	)

overridevirtual

refine the mesh

Parameters

[in]	n_refinement	number of refinements
[in]	t	position of the refinement location (0.5 for standard refinement)

Implements polyfem::mesh::Mesh.

Definition at line 23 of file NCMesh2D.cpp.

References elements, polyfem::utils::is_valid(), refine(), and refine_element().

Referenced by refine().

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◆ refine_element()

void polyfem::mesh::NCMesh2D::refine_element ( int id_full )

Definition at line 178 of file NCMesh2D.cpp.

References add_element(), adj_prepared, edge_id, edges, elements, find_edge(), find_vertex(), get_edge(), get_vertex(), index_prepared, n_elements, refineHistory, and vertices.

Referenced by refine(), and refine_elements().

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◆ refine_elements()

void polyfem::mesh::NCMesh2D::refine_elements ( const std::vector< int > & ids )

Definition at line 244 of file NCMesh2D.cpp.

References refine_element(), and valid_to_all_elem().

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◆ save()

bool polyfem::mesh::NCMesh2D::save ( const std::string & path ) const

inlineoverridevirtual

Implements polyfem::mesh::Mesh.

Definition at line 224 of file NCMesh2D.hpp.

◆ set_body_ids()

void polyfem::mesh::NCMesh2D::set_body_ids ( const std::vector< int > & body_ids )

overridevirtual

Set the volume sections.

Parameters

[in] body_ids vector of labels, one per element

Reimplemented from polyfem::mesh::Mesh.

Definition at line 782 of file NCMesh2D.cpp.

References elements, n_faces(), and valid_to_all_elem().

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◆ set_boundary_ids()

void polyfem::mesh::NCMesh2D::set_boundary_ids ( const std::vector< int > & boundary_ids )

overridevirtual

Set the boundary selection from a vector.

Parameters

[in] boundary_ids vector one value per element

Reimplemented from polyfem::mesh::Mesh.

Definition at line 791 of file NCMesh2D.cpp.

References edges, n_edges(), and valid_to_all_edge().

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◆ set_point()

void polyfem::mesh::NCMesh2D::set_point	(	const int	global_index,
		const RowVectorNd &	p
	)

overridevirtual

Set the point.

Parameters

[in]	global_index	global vertex index
[in]	p	value

Implements polyfem::mesh::Mesh.

Definition at line 712 of file NCMesh2D.cpp.

References valid_to_all_vertex(), and vertices.

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◆ switch_edge()

Navigation::Index polyfem::mesh::NCMesh2D::switch_edge ( Navigation::Index idx ) const

overridevirtual

Implements polyfem::mesh::Mesh2D.

Definition at line 644 of file NCMesh2D.cpp.

References all_to_valid_edge(), polyfem::mesh::Navigation::Index::edge, edges, elements, polyfem::mesh::Navigation::Index::face, polyfem::mesh::Navigation::Index::face_corner, polyfem::mesh::find(), valid_to_all_elem(), and polyfem::mesh::Navigation::Index::vertex.

Referenced by face_node().

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◆ switch_face()

Navigation::Index polyfem::mesh::NCMesh2D::switch_face ( Navigation::Index idx ) const

overridevirtual

Implements polyfem::mesh::Mesh2D.

Definition at line 667 of file NCMesh2D.cpp.

References polyfem::mesh::Navigation::Index::edge, edges, polyfem::mesh::Navigation::Index::face, polyfem::mesh::Navigation::Index::face_corner, valid_to_all_edge(), valid_to_all_elem(), and polyfem::mesh::Navigation::Index::vertex.

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◆ switch_vertex()

Navigation::Index polyfem::mesh::NCMesh2D::switch_vertex ( Navigation::Index idx ) const

overridevirtual

Implements polyfem::mesh::Mesh2D.

Definition at line 620 of file NCMesh2D.cpp.

References all_to_valid_vertex(), polyfem::mesh::Navigation::Index::edge, edges, elements, polyfem::mesh::Navigation::Index::face, polyfem::mesh::Navigation::Index::face_corner, valid_to_all_edge(), valid_to_all_elem(), valid_to_all_vertex(), and polyfem::mesh::Navigation::Index::vertex.

Referenced by edge_node(), and face_node().

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◆ traverse_edge()

void polyfem::mesh::NCMesh2D::traverse_edge	(	Eigen::Vector2i	v,
		double	p1,
		double	p2,
		int	depth,
		std::vector< follower_edge > &	list
	)		const

protected

Definition at line 522 of file NCMesh2D.cpp.

References edges, find_edge(), find_vertex(), and traverse_edge().

Referenced by build_edge_follower_chain(), and traverse_edge().

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◆ update_elements_tag()

void polyfem::mesh::NCMesh2D::update_elements_tag ( )

overridevirtual

Update elements types.

Reimplemented from polyfem::mesh::Mesh.

Definition at line 707 of file NCMesh2D.cpp.

References polyfem::mesh::Mesh::elements_tag_, n_faces(), and polyfem::mesh::SIMPLEX.

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◆ valid_to_all_edge()

int polyfem::mesh::NCMesh2D::valid_to_all_edge ( const int id ) const

inlineprotected

Definition at line 336 of file NCMesh2D.hpp.

References index_prepared, and valid_to_all_edgeMap.

Referenced by compute_boundary_ids(), edge_vertex(), face_neighbor(), get_boundary_id(), is_boundary_edge(), leader_edge_of_edge(), n_face_neighbors(), n_follower_edges(), set_boundary_ids(), switch_face(), and switch_vertex().

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◆ valid_to_all_elem()

int polyfem::mesh::NCMesh2D::valid_to_all_elem ( const int id ) const

inlineprotected

Definition at line 349 of file NCMesh2D.hpp.

References index_prepared, and valid_to_all_elemMap.

Referenced by cell_vertex(), compute_body_ids(), face_edge(), face_ref_level(), face_vertex(), get_body_id(), get_index_from_face(), refine_elements(), set_body_ids(), switch_edge(), switch_face(), and switch_vertex().

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◆ valid_to_all_vertex()

int polyfem::mesh::NCMesh2D::valid_to_all_vertex ( const int id ) const

inlineprotected

Definition at line 323 of file NCMesh2D.hpp.

References index_prepared, and valid_to_all_vertexMap.

Referenced by is_boundary_vertex(), leader_edge_of_vertex(), point(), set_point(), and switch_vertex().

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Member Data Documentation

◆ adj_prepared

bool polyfem::mesh::NCMesh2D::adj_prepared = false

protected

Definition at line 386 of file NCMesh2D.hpp.

Referenced by add_element(), build_from_matrices(), coarsen_element(), leader_edge_of_edge(), leader_edge_of_vertex(), n_follower_edges(), prepare_mesh(), and refine_element().

◆ all_to_valid_edgeMap

std::vector<int> polyfem::mesh::NCMesh2D::all_to_valid_edgeMap

protected

Definition at line 397 of file NCMesh2D.hpp.

Referenced by all_to_valid_edge(), and build_index_mapping().

◆ all_to_valid_elemMap

std::vector<int> polyfem::mesh::NCMesh2D::all_to_valid_elemMap

protected

Definition at line 395 of file NCMesh2D.hpp.

Referenced by all_to_valid_elem(), and build_index_mapping().

◆ all_to_valid_vertexMap

std::vector<int> polyfem::mesh::NCMesh2D::all_to_valid_vertexMap

protected

Definition at line 396 of file NCMesh2D.hpp.

Referenced by all_to_valid_vertex(), and build_index_mapping().

◆ edgeMap

std::unordered_map<Eigen::Vector2i, int, ArrayHasher2D> polyfem::mesh::NCMesh2D::edgeMap

protected

Definition at line 393 of file NCMesh2D.hpp.

Referenced by build_from_matrices(), find_edge(), and get_edge().

◆ edges

std::vector<ncBoundary> polyfem::mesh::NCMesh2D::edges

protected

◆ elementAdj

Eigen::SparseMatrix<bool, Eigen::RowMajor> polyfem::mesh::NCMesh2D::elementAdj

protected

Definition at line 402 of file NCMesh2D.hpp.

◆ elements

std::vector<ncElem> polyfem::mesh::NCMesh2D::elements

protected

Definition at line 388 of file NCMesh2D.hpp.

Referenced by add_element(), append(), build_edge_follower_chain(), build_element_vertex_adjacency(), build_from_matrices(), build_index_mapping(), cell_vertex(), coarsen_element(), compute_body_ids(), face_edge(), face_ref_level(), face_vertex(), get_body_id(), get_index_from_face(), refine(), refine_element(), set_body_ids(), switch_edge(), and switch_vertex().

◆ index_prepared

bool polyfem::mesh::NCMesh2D::index_prepared = false

protected

Definition at line 385 of file NCMesh2D.hpp.

Referenced by add_element(), all_to_valid_edge(), all_to_valid_elem(), all_to_valid_vertex(), build_from_matrices(), build_index_mapping(), coarsen_element(), is_boundary_element(), point(), refine_element(), valid_to_all_edge(), valid_to_all_elem(), and valid_to_all_vertex().

◆ midpointMap

std::unordered_map<Eigen::Vector2i, int, ArrayHasher2D> polyfem::mesh::NCMesh2D::midpointMap

protected

Definition at line 392 of file NCMesh2D.hpp.

Referenced by build_from_matrices(), find_vertex(), and get_vertex().

◆ n_elements

int polyfem::mesh::NCMesh2D::n_elements = 0

protected

Definition at line 383 of file NCMesh2D.hpp.

Referenced by add_element(), build_from_matrices(), build_index_mapping(), coarsen_element(), load(), n_faces(), and refine_element().

◆ refineHistory

std::vector<int> polyfem::mesh::NCMesh2D::refineHistory

protected

Definition at line 399 of file NCMesh2D.hpp.

Referenced by build_from_matrices(), coarsen_element(), and refine_element().

◆ valid_to_all_edgeMap

std::vector<int> polyfem::mesh::NCMesh2D::valid_to_all_edgeMap

protected

Definition at line 397 of file NCMesh2D.hpp.

Referenced by build_index_mapping(), and valid_to_all_edge().

◆ valid_to_all_elemMap

std::vector<int> polyfem::mesh::NCMesh2D::valid_to_all_elemMap

protected

Definition at line 395 of file NCMesh2D.hpp.

Referenced by build_index_mapping(), and valid_to_all_elem().

◆ valid_to_all_vertexMap

std::vector<int> polyfem::mesh::NCMesh2D::valid_to_all_vertexMap

protected

Definition at line 396 of file NCMesh2D.hpp.

Referenced by build_index_mapping(), and valid_to_all_vertex().

◆ vertices

std::vector<ncVert> polyfem::mesh::NCMesh2D::vertices

protected

Definition at line 389 of file NCMesh2D.hpp.

Referenced by add_element(), append(), bounding_box(), build_element_vertex_adjacency(), build_from_matrices(), build_index_mapping(), cell_vertex(), coarsen_element(), edge_vertex(), face_vertex(), get_vertex(), is_boundary_vertex(), leader_edge_of_vertex(), load(), mark_boundary(), n_vertices(), normalize(), point(), refine_element(), and set_point().

The documentation for this class was generated from the following files:

src/polyfem/mesh/mesh2D/NCMesh2D.hpp
src/polyfem/mesh/mesh2D/NCMesh2D.cpp

Classes

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ NCMesh2D() [1/3]

◆ ~NCMesh2D()

◆ NCMesh2D() [2/3]

◆ NCMesh2D() [3/3]

Member Function Documentation

◆ add_element()

◆ all_to_valid_edge()

◆ all_to_valid_elem()

◆ all_to_valid_vertex()

◆ append()

◆ attach_higher_order_nodes()

◆ bounding_box()

◆ build_edge_follower_chain()

◆ build_element_vertex_adjacency()

◆ build_from_matrices()

◆ build_index_mapping()

◆ cell_vertex()

◆ coarsen_element()

◆ compute_body_ids()

◆ compute_boundary_ids()

◆ compute_elements_tag()

◆ copy()

◆ edge_barycenter()

◆ edge_length()

◆ edge_node()

◆ edge_vertex()

◆ element_weight_to_edge_weight()

◆ face_edge()

◆ face_neighbor()

◆ face_node()

◆ face_ref_level()

◆ face_vertex()

◆ find_edge() [1/2]

◆ find_edge() [2/2]

◆ find_vertex() [1/2]

◆ find_vertex() [2/2]

◆ get_body_id()

◆ get_boundary_id()

◆ get_edge() [1/2]

◆ get_edge() [2/2]

◆ get_index_from_face()

◆ get_vertex()

◆ is_boundary_edge()

◆ is_boundary_element()

◆ is_boundary_vertex()

◆ is_conforming()

◆ leader_edge_of_edge()

◆ leader_edge_of_vertex()

◆ load() [1/2]

◆ load() [2/2]

◆ mark_boundary()

◆ n_edges()

◆ n_face_neighbors()

◆ n_face_vertices()

◆ n_faces()

◆ n_follower_edges()

◆ n_vertices()

◆ normalize()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ point()

◆ prepare_mesh()

◆ refine()

◆ refine_element()

◆ refine_elements()

◆ save()

◆ set_body_ids()

◆ set_boundary_ids()

◆ set_point()

◆ switch_edge()

◆ switch_face()

◆ switch_vertex()

◆ traverse_edge()