Rodin::Geometry::Vertex class
#include <Rodin/Geometry/Polytope.h>

Represents a vertex (0-dimensional element) in a mesh.

Vertices are the fundamental building blocks of the mesh, representing points in space with associated coordinates. They serve as:

Base classes

class Polytope: Base class for all geometric elements in finite element meshes.

Vertex(Index index, const MeshBase& mesh): Constructs a vertex with given index.
Vertex(const Vertex& other): Copy constructor.

auto x() const -> Real: Gets the x-coordinate (first coordinate).
auto y() const -> Real: Gets the y-coordinate (second coordinate).
auto z() const -> Real: Gets the z-coordinate (third coordinate).
auto operator()(size_t i) const -> Real: Gets the i-th coordinate.
auto getCoordinates() const -> Eigen::Map<const Math::SpatialPoint>: Gets the vertex coordinates as a vector.
auto getGeometry() const -> Type constexpr: Gets the geometry type (always Point for vertices).

Constructs a vertex with given index.

Parameters
index in	Index of the vertex in the mesh
mesh in	Reference to the containing mesh

Gets the x-coordinate (first coordinate).

Returns	x-coordinate value

Gets the y-coordinate (second coordinate).

Returns	y-coordinate value

Gets the z-coordinate (third coordinate).

Returns	z-coordinate value

Gets the i-th coordinate.

Parameters
i in	Coordinate index
Returns	i-th coordinate value

Gets the vertex coordinates as a vector.

Returns	Eigen map to the coordinate vector

Gets the geometry type (always Point for vertices).

Returns	Polytope::Type::Point