 CGAL 5.2.2 - 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

## ◆ 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.