OptimalTransportationReconstructionTraits_2 Concept Reference

Definition

The concept OptimalTransportationReconstructionTraits_2 describes the requirements for the traits class of CGAL::Optimal_transportation_reconstruction_2.

Refines:

DelaunayTriangulationTraits_2

Has Models:

Any model of the Kernel concept

CGAL::Exact_predicates_inexact_constructions_kernel (recommended)

See also

CGAL::Optimal_transportation_reconstruction_2

Types
typedef unspecified_type	FT
	A coordinate type. More...
typedef unspecified_type	Vector_2
	The vector type.
typedef unspecified_type	Construct_point_2
	A function object to construct a Point_2. More...
typedef unspecified_type	Construct_vector_2
	A function object to construct a Vector_2. More...
typedef unspecified_type	Construct_line_2
	A function object to construct a Line_2. More...
typedef unspecified_type	Construct_translated_point_2
	Must provides: Point_2 operator()(Point_2 p, Vector_2 v) that computes the point p + v.
typedef unspecified_type	Construct_scaled_vector_2
	Must provides: Vector_2 operator()(Vector_2 v, FT c) that computes the vector c * v.
typedef unspecified_type	Construct_sum_of_vectors_2
	Must provides: Vector_2 operator()(Vector_2 v1, Vector_2 v2) that computes the vector v1 + v2.
typedef unspecified_type	Construct_projected_point_2
	Must provides: Point_2 operator()(Line_2 l, Point_2 p) that computes the projection of the point p on the line l.
typedef unspecified_type	Has_on_2
	Must provides: bool operator()(Line_2 l, Point_2 p) that returns true iff p lies on l.
typedef unspecified_type	Compute_scalar_product_2
	Must provides: FT operator()(Vector_2 v1, Vector_2 v2) that computes the scalar product between v1 and v2.
typedef unspecified_type	Compute_squared_length_2
	Must provides: FT operator()(Vector_2 v) that computes the squared length of v.
typedef unspecified_type	Compute_squared_distance_2
	Must provides: FT operator()(Point p1, Point p2) that computes the squared distance between p1 and p2.

Creation
	OptimalTransportationReconstructionTraits_2 ()
	Default constructor.
	OptimalTransportationReconstructionTraits_2 (const OptimalTransportationReconstructionTraits_2 &)
	Copy constructor.
OptimalTransportationReconstructionTraits_2 &	operator= (const OptimalTransportationReconstructionTraits_2 &)
	Assignment operator.

Access to Predicate and Constructors Objects
Construct_point_2	construct_point_2_object ()
Construct_vector_2	construct_vector_2_object ()
Construct_vector_2	construct_vector_2_object ()
Construct_line_2	construct_line_2_object ()
Construct_translated_point_2	construct_translated_point_2_object ()
Construct_scaled_vector_2	construct_scaled_vector_2_object ()
Construct_sum_of_vectors_2	construct_sum_of_vectors_2_object ()
Construct_projected_point_2	construct_projected_point_2_object ()
Has_on_2	has_on_2_object ()
Compute_scalar_product_2	compute_scalar_product_2_object ()
Compute_squared_length_2	compute_squared_length_2_object ()
Compute_squared_distance_2	compute_squared_distance_2_object ()

Member Typedef Documentation

Construct_line_2

typedef unspecified_type OptimalTransportationReconstructionTraits_2::Construct_line_2

A function object to construct a Line_2.

Must provides: Line_2 operator()(Point p, Vector v), which constructs a 2D line from a point and a vector.

Construct_point_2

typedef unspecified_type OptimalTransportationReconstructionTraits_2::Construct_point_2

A function object to construct a Point_2.

Must provides: Point_2 operator()(FT x, FT y), which constructs a 2D point from its coordinates.

Construct_vector_2

typedef unspecified_type OptimalTransportationReconstructionTraits_2::Construct_vector_2

A function object to construct a Vector_2.

Must provides: Vector_2 operator()(FT x, FT y), which constructs a 2D vector from its coordinates, and Vector_2 operator()(Point p0, Point p1), which constructs a 2D vector from 2 points.

FT

typedef unspecified_type OptimalTransportationReconstructionTraits_2::FT

A coordinate type.

The type must provide a copy constructor, assignment, comparison operators, negation, multiplication, division and allow the declaration and initialization with a small integer and double constant (cf. requirements for number types). An obvious choice would be coordinate type of the point class.