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

typedef unspecified_type GeneralPolygonSetTraits_2::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

typedef unspecified_type GeneralPolygonSetTraits_2::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

typedef unspecified_type GeneralPolygonSetTraits_2::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

typedef unspecified_type GeneralPolygonSetTraits_2::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

typedef unspecified_type GeneralPolygonSetTraits_2::Curve_const_iterator

A const iterator of curves.

Its value type is const X_monotone_curve_2.

Is_unbounded

typedef unspecified_type GeneralPolygonSetTraits_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

typedef unspecified_type GeneralPolygonSetTraits_2::Polygon_2

represents a general polygon.

Must be a model of the GpsTraitsGeneralPolygon_2 concept.

Polygon_with_holes_2

typedef unspecified_type GeneralPolygonSetTraits_2::Polygon_with_holes_2

represents a general polygon with holes.

Must be a model of the GpsTraitsGeneralPolygonWithHoles_2 concept.