CGAL 4.7 - 2D and 3D Linear Geometry Kernel
Kernel::SideOfOrientedCircle_2 Concept Reference

## Definition

Refines:
AdaptableFunctor (with four arguments)
CGAL::side_of_oriented_circle()

## Operations

A model of this concept must provide:

Oriented_side operator() (const Kernel::Point_2 &p, const Kernel::Point_2 &q, const Kernel::Point_2 &r, const Kernel::Point_2 &t)
returns the relative position of point t to the oriented circle defined by p, q and r. More...

## Member Function Documentation

 Oriented_side Kernel::SideOfOrientedCircle_2::operator() ( const Kernel::Point_2 & p, const Kernel::Point_2 & q, const Kernel::Point_2 & r, const Kernel::Point_2 & t )

returns the relative position of point t 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 t is also collinear or if two points are identical, otherwise, side_of_oriented_circle(r, q, t, p) is returned.