CGAL::orientation()

See also

CGAL::collinear()

CGAL::left_turn()

CGAL::right_turn()

Functions
template<typename Kernel >
Orientation	CGAL::orientation (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &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. More...
template<typename Kernel >
Orientation	CGAL::orientation (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &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. More...
template<typename Kernel >
Orientation	CGAL::orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
	returns CGAL::POSITIVE, if s lies on the positive side of the oriented plane h defined by p, q, and r, returns CGAL::NEGATIVE if s lies on the negative side of h, and returns CGAL::COPLANAR if s lies on h. More...
template<typename Kernel >
Orientation	CGAL::orientation (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v, const CGAL::Vector_3< Kernel > &w)
	returns CGAL::NEGATIVE if u, v and w are negatively oriented, CGAL::POSITIVE if u, v and w are positively oriented, and CGAL::COPLANAR if u, v and w are coplanar. More...

Function Documentation

orientation() [1/4]

template<typename Kernel >

Orientation CGAL::orientation	(	const CGAL::Point_2< Kernel > &	p,
		const CGAL::Point_2< Kernel > &	q,
		const CGAL::Point_2< Kernel > &	r
	)

#include <CGAL/Kernel/global_functions.h>

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() [2/4]

template<typename Kernel >

Orientation CGAL::orientation	(	const CGAL::Point_3< Kernel > &	p,
		const CGAL::Point_3< Kernel > &	q,
		const CGAL::Point_3< Kernel > &	r,
		const CGAL::Point_3< Kernel > &	s
	)

#include <CGAL/Kernel/global_functions.h>

returns CGAL::POSITIVE, if s lies on the positive side of the oriented plane h defined by p, q, and r, returns CGAL::NEGATIVE if s lies on the negative side of h, and returns CGAL::COPLANAR if s lies on h.

orientation() [3/4]

template<typename Kernel >

Orientation CGAL::orientation	(	const CGAL::Vector_2< Kernel > &	u,
		const CGAL::Vector_2< Kernel > &	v
	)

#include <CGAL/Kernel/global_functions.h>

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.

orientation() [4/4]

template<typename Kernel >

Orientation CGAL::orientation	(	const CGAL::Vector_3< Kernel > &	u,
		const CGAL::Vector_3< Kernel > &	v,
		const CGAL::Vector_3< Kernel > &	w
	)

#include <CGAL/Kernel/global_functions.h>

returns CGAL::NEGATIVE if u, v and w are negatively oriented, CGAL::POSITIVE if u, v and w are positively oriented, and CGAL::COPLANAR if u, v and w are coplanar.