\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.3 - 2D and 3D Linear Geometry Kernel

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
Kernel::SideOfOrientedCircle_2 Concept Reference
Kernel Function Object Concepts

## Definition

Refines:
  `AdaptableFunctor` (with four arguments)

See Also
  `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.