IsStronglyConvexTraits_3 Concept Reference

Definition

Requirements of the traits class used by the function CGAL::is_strongly_convex_3(), which is used for postcondition checking by CGAL::convex_hull_3().

Has Models:

CGAL::Convex_hull_traits_3<R>

All models of Kernel

See also

ConvexHullTraits_3

CGAL::is_strongly_convex_3()

Types
typedef unspecified_type	Plane_3
	a 3D plane
typedef unspecified_type	Point_3
	a 3D point
typedef unspecified_type	Ray_3
	a 3D ray
typedef unspecified_type	Triangle_3
	a 3D triangle
typedef unspecified_type	Construct_ray_3
	Function object type that provides Ray_3 operator()(Point_3 p, Point_3 q), which constructs and returns the ray based at point p and passing though q.
typedef unspecified_type	Construct_triangle_3
	Function object type that provides Triangle_3 operator()(Point_3 p, Point_3 q, Point_3 r), which constructs and returns the triangle with vertices p, q, and r.
typedef unspecified_type	Coplanar_3
	Predicate object type that provides bool operator()(Point_3 p, Point_3 q, Point_3 r, Point_3 s), which determines if points p, q, r, and s are coplanar.
typedef unspecified_type	Do_intersect_3
	Function object type that provides CGAL::Object operator()(Triangle_3 t, Ray_3 r), which returns true iff t and r intersect.
typedef unspecified_type	Has_on_positive_side_3
	Predicate object type that provides bool operator()(Plane_3 h, Point_3 q), which determines of the point q is on the positive side of the halfspace h.
typedef unspecified_type	Oriented_side_3
	Predicate object type that provides Oriented_side operator()(Plane_3 p, Point_3 q), which determines the position of point q relative to plane p.

Creation
Only a copy constructor is required.
	IsStronglyConvexTraits_3 (IsStronglyConvexTraits_3 &t)

Operations
For each of the above function and predicate object types, Func_obj_type, a function must exist with the name func_obj_type_object that creates an instance of the function or predicate object type. For example:
Construct_ray_3	construct_ray_3_object ()