CGAL 5.1.3 - 2D and 3D Linear Geometry Kernel
Kernel::Angle_3 Concept Reference

## Definition

CGAL::angle()

## Operations

A model of this concept must provide:

Angle operator() (const Kernel::Vector_3 &u, const Kernel::Vector_3 &v)
returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors u and v.

Angle operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &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...

Angle operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s)
returns CGAL::OBTUSE, CGAL::RIGHT or CGAL::ACUTE depending on the angle formed by the two vectors pq, rs. More...

Angle operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Vector_3 &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.

## ◆ operator()() [1/2]

 Angle Kernel::Angle_3::operator() ( const Kernel::Point_3 & p, const Kernel::Point_3 & q, const Kernel::Point_3 & 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).

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

## ◆ operator()() [2/2]

 Angle Kernel::Angle_3::operator() ( const Kernel::Point_3 & p, const Kernel::Point_3 & q, const Kernel::Point_3 & r, const Kernel::Point_3 & s )

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 operator()(q - p, s - r).