CGAL::Construct_theta_graph_2< Traits_, Graph_ > Class Template Reference

#include <CGAL/Construct_theta_graph_2.h>

Definition

A template functor for constructing Theta graphs with a given set of 2D points and a given initial direction for the cone boundaries.

Template Parameters

Traits_	Must be either CGAL::Exact_predicates_exact_constructions_kernel_with_root_of or CGAL::Exact_predicates_inexact_constructions_kernel.
Graph_	The graph type to store the constructed cone based spanner. It must be boost::adjacency_list with Traits_::Point_2 as VertexProperties.

Examples:

Cone_spanners_2/dijkstra_theta.cpp, and Cone_spanners_2/theta_io.cpp.

Public Types
typedef Graph_	Graph
	the specific type of boost::adjacency_list. More...
typedef Traits::Point_2	Point_2
	the point type
typedef Traits::Direction_2	Direction_2
	the direction type

Public Member Functions
	Construct_theta_graph_2 (unsigned int k, Direction_2 initial_direction=Direction_2(1, 0))
	Constructor. More...
template<typename PointInputIterator >
Graph_ &	operator() (const PointInputIterator &start, const PointInputIterator &end, Graph_ &g)
	Function operator to construct a Theta graph. More...
unsigned int	number_of_cones () const
	returns the number of cones.
template<class DirectionOutputIterator >
DirectionOutputIterator	directions (DirectionOutputIterator result)
	outputs the set of directions to the iterator result. More...

Member Typedef Documentation

template<typename Traits_, typename Graph_>

typedef Graph_ CGAL::Construct_theta_graph_2< Traits_, Graph_ >::Graph

the specific type of boost::adjacency_list.

Constructor & Destructor Documentation

template<typename Traits_, typename Graph_>

CGAL::Construct_theta_graph_2< Traits_, Graph_ >::Construct_theta_graph_2	(	unsigned int	k,
		Direction_2	initial_direction = Direction_2(1,0)
	)

Constructor.

Parameters

k	Number of cones to divide space into
initial_direction	A direction denoting one of the rays dividing the cones. This allows arbitary rotations of the rays that divide the plane. (default: positive x-axis)

Member Function Documentation

template<typename Traits_, typename Graph_>

template<class DirectionOutputIterator >

DirectionOutputIterator CGAL::Construct_theta_graph_2< Traits_, Graph_ >::directions

(

DirectionOutputIterator

result)

outputs the set of directions to the iterator result.

Template Parameters

DirectionOutputIterator

an OutputIterator with value type Direction_2.

Returns

result

template<typename Traits_, typename Graph_>

template<typename PointInputIterator >

Graph_& CGAL::Construct_theta_graph_2< Traits_, Graph_ >::operator()	(	const PointInputIterator &	start,
		const PointInputIterator &	end,
		Graph_ &	g
	)

Function operator to construct a Theta graph.

For the details of this algorithm, please refer to the User Manual.

Template Parameters

PointInputIterator

an InputIterator with value type Point_2.

Parameters

[in]	start	An iterator pointing to the first vertex of the input.
[in]	end	An iterator pointing to the past-the-end location of the input.
[out]	g	The constructed graph object.