CGAL 4.7 - 2D and 3D Linear Geometry Kernel: Kernel::Orientation_2 Concept Reference

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

CGAL 4.7 - 2D and 3D Linear Geometry Kernel

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
Kernel::Orientation_2 Concept Reference
Kernel Function Object Concepts

## Definition

Refines:
  `AdaptableFunctor` (with three arguments)

See Also
  `CGAL::orientation()`

## Operations

A model of this concept must provide:
Orientation | operator() (const Kernel::Point_2 &p, const Kernel::Point_2 &q, const Kernel::Point_2 &r)
| returns CGAL::LEFT_TURN, if `r` lies to the left of the oriented line `l` defined by `p` and `q`, returns CGAL::RIGHT_TURN if `r` lies to the right of `l`, and returns CGAL::COLLINEAR if `r` lies on `l`.
Orientation | operator() (const Kernel::Vector_2 &u, const Kernel::Vector_2 &v)
| returns CGAL::LEFT_TURN if `u` and `v` form a left turn, returns CGAL::RIGHT_TURN if `u` and `v` form a right turn, and returns CGAL::COLLINEAR if `u` and `v` are collinear.