CGAL 5.6.3 - 2D and 3D Linear Geometry Kernel

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Functions
CGAL::side_of_oriented_circle()
2D and 3D Linear Geometry Kernel Reference » Global Kernel Functions

##

See also
  `CGAL::side_of_bounded_circle()`

## Functions
template<typename Kernel >
Oriented_side | CGAL::side_of_oriented_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &test)
| returns the relative position of point `test` to the oriented circle defined by `p`, `q` and `r`.

## Function Documentation

## ◆ side_of_oriented_circle()

template<typename Kernel >

Oriented_side CGAL::side_of_oriented_circle | ( | const CGAL::Point_2< Kernel > & | p,
|  | const CGAL::Point_2< Kernel > & | q,
|  | const CGAL::Point_2< Kernel > & | r,
|  | const CGAL::Point_2< Kernel > & | test
| ) |  |

`#include <CGAL/Kernel/global_functions.h>`

returns the relative position of point `test` to the oriented circle defined by `p`, `q` and `r`.

The order of the points `p`, `q` and `r` is important, since it determines the orientation of the implicitly constructed circle.

If `p`, `q` and `r` are collinear, the circle degenerates in a line. `CGAL::ON_ORIENTED_BOUNDARY` is returned if `test` is also collinear or if two points are identical, otherwise, `side_of_oriented_circle(r, q, test, p)` is returned.