CGAL::angle()

Functions
template<typename Kernel >
Angle	CGAL::angle (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
	returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors u and v.
template<typename Kernel >
Angle	CGAL::angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
	returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the three points p, q, r (q being the vertex of the angle). More...
template<typename Kernel >
Angle	CGAL::angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
	returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors pq, rs. More...
template<typename Kernel >
Angle	CGAL::angle (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
	returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors u and v.
template<typename Kernel >
Angle	CGAL::angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
	returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the three points p, q, r (q being the vertex of the angle).
template<typename Kernel >
Angle	CGAL::angle (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::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors pq, rs. More...
template<typename Kernel >
Angle	CGAL::angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Vector_3< Kernel > &v)
	returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the normal of the triangle pqr and the vector v.
template<typename Kernel >
Kernel::FT	CGAL::approximate_dihedral_angle (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 an approximation of the signed dihedral angle in the tetrahedron pqrs of edge pq. More...

Function Documentation

angle() [1/3]

template<typename Kernel >

Angle CGAL::angle	(	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::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the three points p, q, r (q being the vertex of the angle).

The returned value is the same as angle(p - q, r - q).

angle() [2/3]

template<typename Kernel >

Angle CGAL::angle	(	const CGAL::Point_2< Kernel > &	p,
		const CGAL::Point_2< Kernel > &	q,
		const CGAL::Point_2< Kernel > &	r,
		const CGAL::Point_2< Kernel > &	s
	)

#include <CGAL/Kernel/global_functions.h>

returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors pq, rs.

The returned value is the same as angle(q - p, s - r).

angle() [3/3]

template<typename Kernel >

Angle CGAL::angle	(	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::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors pq, rs.

The returned value is the same as angle(q - p, s - r).

approximate_dihedral_angle()

template<typename Kernel >

Kernel::FT CGAL::approximate_dihedral_angle	(	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 an approximation of the signed dihedral angle in the tetrahedron pqrs of edge pq.

The sign is negative if orientation(p,q,r,s) is CGAL::NEGATIVE and positive otherwise. The angle is given in degree.

Precondition

p,q,r and p,q,s are not collinear.