CGAL::Width_default_traits_3<K>

Definition

The class Width_default_traits_3<K> is a traits class for Width_3<Traits> using the three-dimensional CGAL kernel.

#include <CGAL/Width_default_traits_3.h>

Requirements

The template parameter K is a model for Kernel

Is Model for the Concept

WidthTraits_3

Types

typedef typename K::Point_3
	Point_3;
typedef typename K::Plane_3
	Plane_3;
typedef typename K::Vector_3
	Vector_3;
typedef typename K::RT
	RT;
typedef Convex_hull_traits_3<K>
	ChullTraits;

Creation

Width_default_traits_3<K> traits;
	default constructor.

Operations

RT	traits.get_hx ( Point_3 p)
		returns the homogeneous $$x-coordinate of point $$p.
RT	traits.get_hy ( Point_3 p)
		returns the homogeneous $$y-coordinate of point $$p.
RT	traits.get_hz ( Point_3 p)
		returns the homogeneous $$z-coordinate of point $$p.
RT	traits.get_hw ( Point_3 p)
		returns the homogenizing coordinate of point $$p.
void	traits.get_point_coordinates ( Point_3 p, RT& px, RT& py, RT& pz, RT& ph)
		returns all homogeneous coordinates of point $$p at once.
RT	traits.get_a ( Plane_3 f)
		returns the first coefficient of plane $$f.
RT	traits.get_b ( Plane_3 f)
		returns the second coefficient of plane $$f.
RT	traits.get_c ( Plane_3 f)
		returns the third coefficient of plane $$f.
RT	traits.get_d ( Plane_3 f)
		returns the fourth coefficient of plane $$f.
void	traits.get_plane_coefficients ( Plane_3 f, RT& a, RT& b, RT& c, RT& d)
		returns all four plane coefficients of $$f at once.
Point_3	traits.make_point ( RT hx, RT hy, RT hz, RT hw)
		returns a point of type Point_3 with homogeneous coordinates $$hx, $$hy, $$hz and $$hw.
Plane_3	traits.make_plane ( RT a, RT b, RT c, RT d)
		returns a plane of type Plane_3 whose coefficients are $$a, $$b, $$c and $$d.
Vector	traits.make_vector ( RT a, RT b, RT c)
		returns a vector of type Vector_3 with the four coefficients $$a, $$b, $$c and 1.

See Also

CGAL::Width_3<Traits>
WidthTraits_3