#include <CGAL/HDVF/Simplex.h>

Definition

The class Simplex is used by the class Abstract_simplicial_chain_complex to implement the structure de simplex (i.e. cells of a simplicial complex).

Simplices are described by the set of the indices of their vertices (see the documentation of Abstract_simplicial_chain_complex for examples).

Public Types
typedef std::set< size_t >::const_iterator	const_iterator
	Constant iterator over the vertices of a simplex.

Public Member Functions
const_iterator	cbegin ()
	Returning a constant iterator on the first vertex of the simplex.

const_iterator	cend ()
	Returning a constant iterator after the last vertex of the simplex.

	Simplex (const std::set< size_t > &vertices)
	Constructor from a set of vertices indices.

int	dimension () const
	Returns the dimension of a simplex.

std::vector< Simplex >	boundary () const
	Returns the boundary of a simplex.

const std::set< size_t > &	get_vertices () const
	Gets the set of vertices indices of the simplex.

bool	operator< (const Simplex &other) const
	Comparison operator.

Friends
template<typename _CoefficientType >
class	Abstract_simplicial_chain_complex

std::ostream &	operator<< (std::ostream &out, const Simplex &simplex)
	Outputs a simplex.

Constructor & Destructor Documentation

CGAL::HDVF::Simplex::Simplex ( const std::set< size_t > & vertices )

Constructor from a set of vertices indices.

Parameters

[in] vertices Set of the simplex vertices indices (a simplex of dimension \(q\) has \(q+1\) vertices.

std::vector< Simplex > CGAL::HDVF::Simplex::boundary ( ) const

Returns the boundary of a simplex.

The method returns the vector of the simplices in the boundary of the object.

int CGAL::HDVF::Simplex::dimension ( ) const

Returns the dimension of a simplex.

A simplex of dimension \(q\) has \(q+1\) vertices.

bool CGAL::HDVF::Simplex::operator< ( const Simplex & other ) const

Comparison operator.

Compare the object with another simplex according to the lexicographical order on vertices indices sets.

Parameters

[in] other Compare this with other (returns this < other).