Definition

Required types and functors for the LinearCellComplexTraits concept. This geometric traits concept is used in the Linear_cell_complex_for_combinatorial_map and Linear_cell_complex_for_generalized_map classes.

Has Models:: CGAL::Linear_cell_complex_traits<d,K>

See also: CGAL::Linear_cell_complex_for_combinatorial_map<d,d2,LCCTraits,Items,Alloc>; CGAL::Linear_cell_complex_for_generalized_map<d,d2,LCCTraits,Items,Alloc>

Constants
static unsigned int	ambient_dimension
	The ambient dimension (must be > 1). More...

Types
typedef unspecified_type	FT
	a number type that is a model of FieldNumberType. More...

typedef unspecified_type	Point
	point type. More...

typedef unspecified_type	Vector
	vector type. More...

Constructions
typedef unspecified_type	Construct_translated_point
	Functor that provides `Point` `operator() (const` `Point& p, const` `Vector& v)`, which constructs the translation of point `p` by vector `v`, and `Point` `operator() (const CGAL::Origin&, const` `Vector& v)`, which constructs the translation of a point at the origin by vector `v` (used in `LinearCellComplex::barycenter`). More...

typedef unspecified_type	Construct_vector
	Functor that provides `Vector` `operator() (const` `Point& p1, const` `Point& p2)` which constructs a vector as the difference of points `p2-p1`, and `Vector` `operator() (const CGAL::Origin&, const` `Point& p)` which constructs a vector as the difference of point `p` and a point at the origin (used in `LinearCellComplex::barycenter` and `CGAL::import_from_plane_graph`). More...

typedef unspecified_type	Construct_sum_of_vectors
	Functor that provides `Vector` `operator() (const` `Vector& v1, const` `Vector& v2)` which constructs a vector as the sum of vectors `v1+v2` (used in `LinearCellComplex::barycenter`, `CGAL::compute_normal_of_cell_0` and `CGAL::compute_normal_of_cell_2`). More...

typedef unspecified_type	Construct_scaled_vector
	Functor that provides `Vector` `operator() (const` `Vector& v,` `FT` `scale)` which constructs a vector equal to vector `v` scaled by `scale` factor (used in `LinearCellComplex::barycenter`, `CGAL::compute_normal_of_cell_0` and `CGAL::compute_normal_of_cell_2`). More...

typedef unspecified_type	Construct_midpoint
	Functor that provides `Point` `operator() (const` `Point& p1, const` `Point& p2)` which constructs the midpoint of points `p1` and `p2` (used in `LinearCellComplex::barycenter`). More...

If `ambient_dimension==2`
typedef unspecified_type	Direction_2
	a model of `Direction_2`. More...

typedef unspecified_type	Construct_direction_2
	a model of `ConstructDirection_2` (used in `CGAL::import_from_plane_graph`). More...

If `ambient_dimension==3`
typedef unspecified_type	Construct_normal_3
	a model of `ConstructNormal_3` (used in `CGAL::compute_normal_of_cell_2`). More...

typedef unspecified_type	Collinear_3
	a model of `Collinear_3` (used in `CGAL::compute_normal_of_cell_2`). More...

Member Typedef Documentation

◆ Collinear_3

typedef unspecified_type LinearCellComplexTraits::Collinear_3

a model of Collinear_3 (used in CGAL::compute_normal_of_cell_2).

◆ Construct_direction_2

typedef unspecified_type LinearCellComplexTraits::Construct_direction_2

a model of ConstructDirection_2 (used in CGAL::import_from_plane_graph).

◆ Construct_midpoint

typedef unspecified_type LinearCellComplexTraits::Construct_midpoint

Functor that provides Point operator() (const Point& p1, const Point& p2) which constructs the midpoint of points p1 and p2 (used in LinearCellComplex::barycenter).

◆ Construct_normal_3

typedef unspecified_type LinearCellComplexTraits::Construct_normal_3

a model of ConstructNormal_3 (used in CGAL::compute_normal_of_cell_2).

◆ Construct_scaled_vector

typedef unspecified_type LinearCellComplexTraits::Construct_scaled_vector

Functor that provides Vector operator() (const Vector& v, FT scale) which constructs a vector equal to vector v scaled by scale factor (used in LinearCellComplex::barycenter, CGAL::compute_normal_of_cell_0 and CGAL::compute_normal_of_cell_2).

◆ Construct_sum_of_vectors

typedef unspecified_type LinearCellComplexTraits::Construct_sum_of_vectors

Functor that provides Vector operator() (const Vector& v1, const Vector& v2) which constructs a vector as the sum of vectors v1+v2 (used in LinearCellComplex::barycenter, CGAL::compute_normal_of_cell_0 and CGAL::compute_normal_of_cell_2).

◆ Construct_translated_point

typedef unspecified_type LinearCellComplexTraits::Construct_translated_point

Functor that provides Point operator() (const Point& p, const Vector& v), which constructs the translation of point p by vector v, and Point operator() (const CGAL::Origin&, const Vector& v), which constructs the translation of a point at the origin by vector v (used in LinearCellComplex::barycenter).

◆ Construct_vector

typedef unspecified_type LinearCellComplexTraits::Construct_vector

Functor that provides Vector operator() (const Point& p1, const Point& p2) which constructs a vector as the difference of points p2-p1, and Vector operator() (const CGAL::Origin&, const Point& p) which constructs a vector as the difference of point p and a point at the origin (used in LinearCellComplex::barycenter and CGAL::import_from_plane_graph).