IsosurfacingTraits_3 Concept Reference

Definition

Refines

DefaultConstructible

Assignable

The concept IsosurfacingTraits_3 describes the set of requirements to be fulfilled by the traits class of a model of IsosurfacingDomain_3.

Has models

All models of the concept Kernel

Types
typedef unspecified_type	FT
	The scalar type.
typedef unspecified_type	Point_3
	The 3D point type.
typedef unspecified_type	Vector_3
	The 3D vector type.
typedef unspecified_type	IsoCuboid_3
	The 3D cuboid type.
typedef unspecified_type	Compute_x_3
	A construction object that must provide the function operators:
typedef unspecified_type	Compute_y_3
	A construction object that must provide the function operators:
typedef unspecified_type	Compute_z_3
	A construction object that must provide the function operators:
typedef unspecified_type	Construct_point_3
	A construction object that must provide the function operator:
typedef unspecified_type	Construct_vector_3
	A construction object that must provide the function operator:
typedef unspecified_type	Construct_iso_cuboid_3
	A construction object that must provide the function operator:
typedef unspecified_type	Construct_vertex_3
	A construction object that must provide the function operator:

Operations
The following functions give access to the predicate and construction objects:
Compute_x_3	compute_x_3_object ()
Compute_y_3	compute_y_3_object ()
Compute_z_3	compute_z_3_object ()
Construct_point_3	construct_point_3_object ()
Construct_vector_3	construct_vector_3_object ()
Construct_iso_cuboid_3	construct_iso_cuboid_3_object ()
Construct_vertex_3	construct_vertex_3_object ()

Member Typedef Documentation

Compute_x_3

typedef unspecified_type IsosurfacingTraits_3::Compute_x_3

A construction object that must provide the function operators:

FT operator()(Point_3 p)

and

FT operator()(Vector_3 p)

which return the \( x\)-coordinate of the point and the vector, respectively.

Compute_y_3

typedef unspecified_type IsosurfacingTraits_3::Compute_y_3

A construction object that must provide the function operators:

FT operator()(Point_3 p)

and

FT operator()(Vector_3 p)

which return the \( y\)-coordinate of the point and the vector, respectively.

Compute_z_3

typedef unspecified_type IsosurfacingTraits_3::Compute_z_3

A construction object that must provide the function operators:

FT operator()(Point_3 p)

and

FT operator()(Vector_3 p)

which return the \( z\)-coordinate of the point and the vector, respectively.

Construct_iso_cuboid_3

typedef unspecified_type IsosurfacingTraits_3::Construct_iso_cuboid_3

A construction object that must provide the function operator:

IsoCuboid_3 operator()(Point_3 p, Point_3 q)

which constructs an iso-oriented cuboid with diagonal opposite vertices p and q such that p is the lexicographically smallest point in the cuboid.

Construct_point_3

typedef unspecified_type IsosurfacingTraits_3::Construct_point_3

A construction object that must provide the function operator:

Point_3 operator()(FT x, FT y, FT z)

which constructs a 3D point from its three coordinates.

Construct_vector_3

typedef unspecified_type IsosurfacingTraits_3::Construct_vector_3

A construction object that must provide the function operator:

Vector_3 operator()(FT x, FT y, FT z)

which constructs a 3D vector from its three coordinates.

Construct_vertex_3

typedef unspecified_type IsosurfacingTraits_3::Construct_vertex_3

A construction object that must provide the function operator:

Point_3 operator()(IsoCuboid_3 c, int i)

which returns the i-th vertex of an iso-cuboid c. See Kernel::ConstructVertex_3 for the order of vertices.

FT

typedef unspecified_type IsosurfacingTraits_3::FT

The scalar type.

Must be a model of FieldNumberType.

IsoCuboid_3

typedef unspecified_type IsosurfacingTraits_3::IsoCuboid_3

The 3D cuboid type.

Must be a model of Kernel::IsoCuboid_3

Point_3

typedef unspecified_type IsosurfacingTraits_3::Point_3

The 3D point type.

Must be a model of Kernel::Point_3.

Vector_3

typedef unspecified_type IsosurfacingTraits_3::Vector_3

The 3D vector type.

Must be a model of Kernel::Vector_3.