CGAL 6.1.1 - 2D Arrangements

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AosPointLocation_2 Concept Reference
Reference Manual » Concepts

## Definition

A model of the `AosPointLocation_2` concept can answer point-location queries on an arrangement attached to it. Namely, given a `Arrangement_2::Point_2` object, representing a point in the plane, it returns the arrangement cell containing it. In the general case, the query point is contained inside an arrangement face, but in degenerate situations it may lie on an edge or coincide with an arrangement vertex.

Has models
  `CGAL::Arr_naive_point_location<Arrangement>`
  `CGAL::Arr_walk_along_line_point_location<Arrangement>`
  `CGAL::Arr_trapezoid_ric_point_location<Arrangement>`
  `CGAL::Arr_landmarks_point_location<Arrangement,Generator>`

See also
  `CGAL::Arr_naive_point_location<Arrangement>`
  `CGAL::Arr_walk_along_line_point_location<Arrangement>`
  `CGAL::Arr_trapezoid_ric_point_location<Arrangement>`
  `CGAL::Arr_landmarks_point_location<Arrangement,Generator>`
  `CGAL::Arr_point_location_result<Arrangement>`

## Types
typedef unspecified_type | Arrangement_2
| the associated arrangement type.
typedef unspecified_type | Point_2
| equivalent to `Arrangement_2::Point_2`.

## Creation
| AosPointLocation_2 ()
| default constructor.
| AosPointLocation_2 (const Arrangement_2 &arr)
| constructs a point-location object `pl` attached to the given arrangement `arr`.

## Query Functions
Arr_point_location_result< Arrangement_2 >::Type | locate (const Point_2 &q) const
| locates the arrangement cell that contains the query point `q` and returns a discriminated union container of the following bounded types:

## Operations
void | attach (const Arrangement_2 &arr)
| attaches `pl` to the given arrangement `arr`.
void | detach ()
| detaches `pl` from the arrangement it is currently attached to.

## Member Function Documentation

## ◆ locate()

Arr_point_location_result< Arrangement_2 >::Type AosPointLocation_2::locate | ( | const Point_2 & | q | ) | const

locates the arrangement cell that contains the query point `q` and returns a discriminated union container of the following bounded types:

- `Arrangement_2::Face_const_handle`, in case `q` is contained inside an arrangement face;
- `Arrangement_2::Halfedge_const_handle`, in case `q` lies on an arrangement edge;
- `Arrangement_2::Vertex_const_handle`, in case `q` coincides with an arrangement vertex.

Precondition
  `pl` is attached to a valid arrangement object.