CGAL 6.1.1 - Cone-Based Spanners

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CGAL::Construct_yao_graph_2< Traits_, Graph_ > Class Template Reference
Reference Manual

`#include <CGAL/Construct_yao_graph_2.h>`

## Definition

template<typename Traits_, typename Graph_>
class CGAL::Construct_yao_graph_2< Traits_, Graph_ >

A template functor for constructing Yao 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`

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

## Public Member Functions
| Construct_yao_graph_2 (unsigned int k, Direction_2 initial_direction=Direction_2(1, 0), Cones_selected cones_selected=ALL_CONES)
| Constructor.
template<typename PointInputIterator >
Graph_ & | operator() (const PointInputIterator &start, const PointInputIterator &end, Graph_ &g)
| Function operator to construct a Yao graph.
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`.

## Constructor & Destructor Documentation

## ◆ Construct_yao_graph_2()

template<typename Traits_ , typename Graph_ >

CGAL::Construct_yao_graph_2< Traits_, Graph_ >::Construct_yao_graph_2 | ( | unsigned int | k,
|  | Direction_2 | initial_direction = `Direction_2(1,0)`,
|  | Cones_selected | cones_selected = `ALL_CONES`
| ) |  |

Constructor.

Parameters

  k | Number of cones to divide space into
  initial_direction | A direction denoting one of the rays dividing the cones. This allows arbitrary rotations of the rays that divide the plane. (default: positive x-axis)
  cones_selected | Indicates whether even, odd or all cones are selected to construct graph.

## Member Function Documentation

## ◆ directions()

template<typename Traits_ , typename Graph_ >
template<class DirectionOutputIterator >

DirectionOutputIterator CGAL::Construct_yao_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`

## ◆ operator()()

template<typename Traits_ , typename Graph_ >
template<typename PointInputIterator >

Graph_ & CGAL::Construct_yao_graph_2< Traits_, Graph_ >::operator() | ( | const PointInputIterator & | start,
|  | const PointInputIterator & | end,
|  | Graph_ & | g
| ) |  |

Function operator to construct a Yao 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.