CGAL::Barycentric_coordinates::BarycentricTraits_3 Class Reference

#include <Concepts/BarycentricTraits_3.h>

Definition

A concept that describes the set of requirements of the template parameter GeomTraits used to parameterize all classes and functions with 3D barycentric coordinates from the namespace CGAL::Barycentric_coordinates. The concept BarycentricTraits_3 extends the concept BarycentricTraits_2 and adds the requirements for 3D objects.

Generalizes:

BarycentricTraits_2

Has Models:

• All models of Kernel

Types
typedef unspecified_type	FT
	A model of FieldNumberType.

3D Geometric Objects
typedef unspecified_type	Point_3
	A model of Kernel::Point_3.
typedef unspecified_type	Vector_3
	A model of Kernel::Vector_3.

3D Generalized Constructions
typedef unspecified_type	Compute_volume_3
	A construction object that must provide the function operator: More...
typedef unspecified_type	Compute_approximate_angle_3
	A construction object that must provide the function operator: More...
typedef unspecified_type	Compute_scalar_product_3
	A construction object that must provide the function operator: More...
typedef unspecified_type	Compute_determinant_3
	A construction object that must provide the function operator: More...
typedef unspecified_type	Construct_vector_3
	A construction object that must provide the function operator: More...
typedef unspecified_type	Construct_cross_product_vector_3
	A construction object that must provide the function operator: More...

Member Typedef Documentation

Compute_approximate_angle_3

typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_3::Compute_approximate_angle_3

A construction object that must provide the function operator:

FT operator(const Vector_3& u, const Vector_3& v)

that returns an approximation of the angle between u and v. The angle is given in degrees.

Compute_determinant_3

typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_3::Compute_determinant_3

A construction object that must provide the function operator:

FT operator(const Vector_3& u, const Vector_3& v, const Vector_3& w)

that returns the determinant of the three vectors u, v and w.

Compute_scalar_product_3

typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_3::Compute_scalar_product_3

A construction object that must provide the function operator:

FT operator(const Vector_3& v, const Vector_3& w)

that returns the scalar (inner) product of the two vectors v and w.

Compute_volume_3

typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_3::Compute_volume_3

A construction object that must provide the function operator:

FT operator(const Point_3& p0, const Point_3& p1, const Point_3& p2, const Point_3& p3)

that returns the signed volume of the tetrahedron defined by the four points p0, p1, p2, and p3.

Construct_cross_product_vector_3

typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_3::Construct_cross_product_vector_3

A construction object that must provide the function operator:

Vector_3 operator(const Vector_3& u, const Vector_3& v)

that returns the cross product between u and v.

Construct_vector_3

typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_3::Construct_vector_3

A construction object that must provide the function operator:

Vector_3 operator(const Point_3& p, const Point_3& q)

that returns the vector q - p.