\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8.2 - Linear Cell Complex
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
LinearCellComplexTraits Concept Reference
Concepts

Definition

Required types and functors for the LinearCellComplexTraits concept. This geometric traits concept is used in the Linear_cell_complex class.

Has Models:
CGAL::Linear_cell_complex_traits<d,K>
See Also
CGAL::Linear_cell_complex<d,d2,LCCTraits,Items,Alloc>

Constants

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

Types

typedef unspecified_type FT
 a number type that is a model of FieldNumberType.
 
typedef unspecified_type Point
 point type.
 
typedef unspecified_type Vector
 vector type.
 

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 vectorv` (used in Linear_cell_complex::barycenter).
 
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 Linear_cell_complex::barycenter and CGAL::import_from_plane_graph).
 
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 Linear_cell_complex::barycenter, CGAL::compute_normal_of_cell_0 and CGAL::compute_normal_of_cell_2).
 
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 Linear_cell_complex::barycenter, CGAL::compute_normal_of_cell_0 and CGAL::compute_normal_of_cell_2).
 
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 Linear_cell_complex::barycenter).
 

If ambient_dimension==2

typedef unspecified_type Direction_2
 a model of Direction_2.
 
typedef unspecified_type Construct_direction_2
 a model of ConstructDirection_2 (used in CGAL::import_from_plane_graph).
 

If ambient_dimension==3

typedef unspecified_type Construct_normal_3
 a model of ConstructNormal_3 (used in CGAL::compute_normal_of_cell_2).
 
typedef unspecified_type Collinear_3
 a model of Collinear_3 (used in CGAL::compute_normal_of_cell_2).