\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0 - 2D Regularized Boolean Set-Operations
GeneralPolygonSetTraits_2 Concept Reference

Definition

This concept defines the minimal set of geometric predicates needed to perform the Boolean-set operations. It refines the directional \( x\)-monotone arrangement-traits concept. In addition to the Point_2 and X_monotone_curve_2 types defined in the generalized concept, it defines a type that represents a general polygon and another one that represents general polygon with holes. It also requires operations that operate on these types.

Refines:
ArrangementDirectionalXMonotoneTraits_2
Has Models:

CGAL::Gps_segment_traits_2<Kernel,Container,ArrSegmentTraits>

CGAL::Gps_circle_segment_traits_2<Kernel>

CGAL::Gps_traits_2<ArrTraits,GeneralPolygon>

See also
ArrangementDirectionalXMonotoneTraits_2

Types

typedef unspecified_type Polygon_2
 represents a general polygon. More...
 
typedef unspecified_type Polygon_with_holes_2
 represents a general polygon with holes. More...
 
typedef unspecified_type Curve_const_iterator
 A const iterator of curves. More...
 

Functor Types

typedef unspecified_type Construct_polygon_2
 a functor that constructs a general polygon from a range of \( x\)-monotone curves. More...
 
typedef unspecified_type Construct_general_polygon_with_holes_2
 a functor that constructs a general polygon with holes from a general polygon and, optionally, a range of holes. More...
 
typedef unspecified_type Construct_outer_boundary
 A functor for constructing the outer boundary of a polygon with holes. More...
 
typedef unspecified_type Construct_holes
 A functor for constructing the container of holes of a polygon with holes. More...
 
typedef unspecified_type Is_unbounded
 A functor for checking if polygon with holes has no outer boundary. More...
 

Creation

 GeneralPolygonSetTraits_2 ()
 default constructor.
 
 GeneralPolygonSetTraits_2 (GeneralPolygonSetTraits_2 other)
 copy constructor
 
GeneralPolygonSetTraits_2 operator= (other)
 assignment operator.
 

Accessing Functor Objects

Construct_polygon_2 construct_polygon_2_object ()
 returns a functor that constructs a polygon.
 
Construct_curves_2 construct_curves_2_object ()
 returns a functor that obtains the curves of a polygon.
 
Construct_general_polygon_with_holes_2 construct_polygon_with_holes_2_object () const
 returns a functor that constructs a polygon with holes.
 
Construct_outer_boundary construct_outer_boundary_object () const
 returns a functor that obtains the outer boundary of a polygon with holes.
 
Construct_holes construct_holes_object () const
 returns a functor that obtains begin/end iterators over a container of holes.
 
Is_unbounded construct_is_unbounded_object ()
 returns a functor that determines if the polygon with holes is unbounded
 

Member Typedef Documentation

◆ Construct_general_polygon_with_holes_2

a functor that constructs a general polygon with holes from a general polygon and, optionally, a range of holes.

It uses the operator

void operator() (const General_polygon_2& pgn_boundary) or

void operator() (const General_polygon_2& pgn_boundary, HolesInputIterator h_begin, HolesInputIterator h_end) parameterized by the HolesInputIterator type.

◆ Construct_holes

A functor for constructing the container of holes of a polygon with holes.

It returns the begin/end iterators for the holes It uses the operator

std::pair<Hole_const_iterator, Hole_const_iterator> operator()(const General_polygon_with_holes_2& pol_wh).

◆ Construct_outer_boundary

A functor for constructing the outer boundary of a polygon with holes.

It uses the operator

General_polygon_2 operator()(const General_polygon_with_holes_2& pol_wh).

◆ Construct_polygon_2

a functor that constructs a general polygon from a range of \( x\)-monotone curves.

It uses the operator

void operator() (InputIterator begin, Input iterator end, Polygon_2 & pgn),

parameterized by the InputIterator type.

◆ Curve_const_iterator

A const iterator of curves.

Its value type is const X_monotone_curve_2.

◆ Is_unbounded

A functor for checking if polygon with holes has no outer boundary.

It uses the operator

bool operator()(const General_polygon_with_holes_2& pol_wh).

◆ Polygon_2

represents a general polygon.

Must be a model of the GpsTraitsGeneralPolygon_2 concept.

◆ Polygon_with_holes_2

represents a general polygon with holes.

Must be a model of the GpsTraitsGeneralPolygonWithHoles_2 concept.