HeatMethodTraits_3 Concept Reference

Definition

The concept HeatMethodTraits_3 describes the types, predicates, and constructions required by the traits class parameter of CGAL::Heat_method_3::Surface_mesh_geodesic_distances_3.

Has models

All models of the CGAL concept Kernel

Types
typedef unspecified_type	FT
typedef unspecified_type	Point_3
	The 3D point type.
typedef unspecified_type	Vector_3
	The 3D vector type.
typedef unspecified_type	Construct_vector_3
	Functor with operator: Vector_3 operator()(const Point_3& from, const Point_3& to) const, which constructs the vector from to - from .
typedef unspecified_type	Construct_sum_of_vectors_3
	Functor with operator: Vector_3 operator()(const Vector_3& v, const Vector_3& w) const, which constructs the vector v + w.
typedef unspecified_type	Construct_scaled_vector_3
	Functor with operator: Vector_3 operator()(const Vector_3& v, double d) const, which constructs the vector d * v.
typedef unspecified_type	Construct_cross_product_vector_3
	Functor with operator: Vector_3 operator()(const Vector_3& v, const Vector_3& w) const, which constructs the cross product of v and w.
typedef unspecified_type	Compute_scalar_product_3
	Functor with operator: FT operator()(const Vector_3& v, const Vector_3& w) const, which constructs the scalar product of v and w.
typedef unspecified_type	Compute_squared_distance_3
	Functor with operator: FT operator()(const Point_3& p, const Point_3& q) const which computes the squared distance between p and q.
typedef unspecified_type	Compute_squared_length_3
	Functor with operator: FT operator()(const Vector_3& v) const which computes the squared length of v.

Operations
For each of the above function 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_vector_3	construct_vector_3_object ()

Member Typedef Documentation

Point_3

typedef unspecified_type HeatMethodTraits_3::Point_3

The 3D point type.

It must be CopyConstructible and DefaultConstructible, and have a constructor with three parameters of a type constructibe from double.

Vector_3

typedef unspecified_type HeatMethodTraits_3::Vector_3

The 3D vector type.

It must be CopyConstructible and DefaultConstructible, and have a constructor with three parameters of a type constructibe from double.