BarycentricTraits_2 Concept Reference

Definition

Requirements of the template parameter Traits for all the classes with two-dimensional barycentric coordinates from the namespace CGAL::Barycentric_coordinates.

Has Models:

All models of Kernel

Types
typedef unspecified_type	FT
	A model of FieldNumberType.

Two-dimensional Geometric Objects
typedef unspecified_type	Point_2
	A model of Kernel::Point_2.
typedef unspecified_type	Vector_2
	A model of Kernel::Vector_2.

Two-dimensional Constructions
typedef unspecified_type	Compute_area_2
	A model of this concept must provide an FT operator(const Point_2 &p, const Point_2 &q, const Point_2 &r) that returns the signed area of the triangle defined by the points p, q, and r.
typedef unspecified_type	Compute_squared_distance_2
	A model of this concept must provide an FT operator(const Point_2 &p, const Point_2 &q) that returns the squared Euclidean distance between the points p and q.
typedef unspecified_type	Compute_squared_length_2
	A model of this concept must provide an FT operator(const Vector_2 &p) that returns the squared length of the vector p.
typedef unspecified_type	Compute_scalar_product_2
	A model of this concept must provide an FT operator(const Vector_2 &p, const Vector_2 &q) that returns the scalar product between the vectors p and q.

Two-dimensional Generalized Predicates
typedef unspecified_type	Equal_2
	A model of this concept must provide a bool operator(const Point_2 &p, const Point_2 &q) that returns true if p = q and false otherwise.
typedef unspecified_type	Collinear_2
	A model of this concept must provide a bool operator(const Point_2 &p, const Point_2 &q, const Point_2 &r) that returns true if the points p, q, and r are collinear and false otherwise.
typedef unspecified_type	Collinear_are_ordered_along_line_2
	A model of this concept must provide a bool operator(const Point_2 &p, const Point_2 &q, const Point_2 &r) that returns true if the point q lies between the points p and r and all three points are collinear.