There are several overloaded function templates called do_intersect() that determine whether the interior of two or more polygons intersect.

A function template in this group that accepts two input polygons has one of the following signatures:

1.1.	`bool do_intersect(const Type1& pgn1, const Type2& pgn2, UsePolylines = Tag_true());`
1.2.	`bool do_intersect(const Type1& pgn1, const Type2& pgn2);`
2.	`bool do_intersect(const Type1& pgn1, const Type2& pgn2, const GpsTraits& traits);`

There are also function templates that accept one or two ranges of input polygons:

3.1.	`bool do_intersect(InputIterator begin, InputIterator end, UsePolylines = Tag_true());`
3.2.	`bool do_intersect(InputIterator begin, InputIterator end);`
4.	`bool do_intersect(InputIterator begin, InputIterator end, const GpsTraits& traits);`
5.1.	`bool do_intersect(InputIterator1 begin1, InputIterator1 end1, InputIterator2 begin2, InputIterator2 end2, UsePolylines = Tag_true());`
5.2.	`bool do_intersect(InputIterator1 begin1, InputIterator1 end1, InputIterator2 begin2, InputIterator2 end2);`
6.	`bool do_intersect(InputIterator1 begin1, InputIterator1 end1, InputIterator2 begin2, InputIterator2 end2, const GpsTraits& traits);`

Template Parameters

UsePolylines determines whether the boundary of the input polygons are treated as a cyclic sequence of single ( \(x\)-monotone) segments or as a cyclic sequence of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true, which is the default, the input polygons are converted to general polygons bounded by polylines before the operation is actually performed. If substituted with CGAL::Tag_false, the input polygons are used as is. Refer to Traits Selection for more information.

The types Type1 and Type2 of the parameters of InputIterator1::value_type and InputIterator2::value_type must be convertible to the types specified in a row in the table below, respectively.
The types that apply to signatures (1.1.) and (5.1.) above are restricted to those listed in rows 1–4 in the table below.
The types that apply to signatures (1.2.) and (5.2.) above are restricted to those listed in rows 5–8 in the table below.
The type of InputIterator::value_type in (3.1.) above must be convertible to either Polygon_2 or Polygon_with_holes_2.
The type of InputIterator::value_type in (3.2.) above must be convertible to either General_polygon_2 or General_polygon_with_holes_2.

	`Type1`	`Type2`
1	`Polygon_2`	`Polygon_2`
2	`Polygon_2`	`Polygon_with_holes_2`
3	`Polygon_with_holes_2`	`Polygon_2`
4	`Polygon_with_holes_2`	`Polygon_with_holes_2`
5	`General_polygon_2`	`General_polygon_2`
6	`General_polygon_2`	`General_polygon_with_holes_2`
7	`General_polygon_with_holes_2`	`General_polygon_2`
8	`General_polygon_with_holes_2`	`General_polygon_with_holes_2`

Parameters

pgn1,pgn2	the input polygons.
(end,begin)	a range of input polygons.
(end1,begin1)	the first range of input polygons.
(end2,begin2)	the second range of input polygons.
traits	an optional traits object.

See also: CGAL::complement(); CGAL::intersection(); CGAL::join(); CGAL::difference(); CGAL::symmetric_difference()

Functions
template<typename Kernel , typename Container >
bool	CGAL::do_intersect (const Polygon_2< Kernel, Container > &pgn1, const Polygon_2< Kernel, Container > &pgn2)
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container , typename UsePolylines >
bool	CGAL::do_intersect (const Polygon_2< Kernel, Container > &pgn1, const Polygon_2< Kernel, Container > &pgn2, UsePolylines=Tag_true())
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container >
bool	CGAL::do_intersect (const Polygon_2< Kernel, Container > &pgn1, const Polygon_with_holes_2< Kernel, Container > &pgn2)
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container , typename UsePolylines >
bool	CGAL::do_intersect (const Polygon_2< Kernel, Container > &pgn1, const Polygon_with_holes_2< Kernel, Container > &pgn2, UsePolylines=Tag_true())
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container >
bool	CGAL::do_intersect (const Polygon_with_holes_2< Kernel, Container > &pgn1, const Polygon_2< Kernel, Container > &pgn2)
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container , typename UsePolylines >
bool	CGAL::do_intersect (const Polygon_with_holes_2< Kernel, Container > &pgn1, const Polygon_2< Kernel, Container > &pgn2, UsePolylines=Tag_true())
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container >
bool	CGAL::do_intersect (const Polygon_with_holes_2< Kernel, Container > &pgn1, const Polygon_with_holes_2< Kernel, Container > &pgn2)
	determines whether two polygons with holes intersect in their interior. More...

template<typename Kernel , typename Container , typename UsePolylines >
bool	CGAL::do_intersect (const Polygon_with_holes_2< Kernel, Container > &pgn1, const Polygon_with_holes_2< Kernel, Container > &pgn2, UsePolylines=Tag_true())
	determines whether two polygons with holes intersect in their interior. More...

template<typename ArrTraits >
bool	CGAL::do_intersect (const General_polygon_2< ArrTraits > &pgn1, const General_polygon_2< ArrTraits > &pgn2)
	determines whether two general polygons intersect in their interior. More...

template<typename ArrTraits >
bool	CGAL::do_intersect (const General_polygon_2< ArrTraits > &pgn1, const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &pgn2)
	determines whether two general polygons intersect in their interior. More...

template<typename ArrTraits >
bool	CGAL::do_intersect (const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &pgn1, const General_polygon_2< ArrTraits > &pgn2)
	determines whether two general polygons intersect in their interior. More...

template<typename Polygon >
bool	CGAL::do_intersect (const General_polygon_with_holes_2< Polygon > &pgn1, const General_polygon_with_holes_2< Polygon > &pgn2)
	determines whether two general polygons with holes intersect in their interior. More...

template<typename InputIterator >
bool	CGAL::do_intersect (InputIterator begin, InputIterator end)
	Given a range of polygons or a range of polygons with holes (resp. More...

template<typename InputIterator , typename UsePolylines >
bool	CGAL::do_intersect (InputIterator begin, InputIterator end, UsePolylines=Tag_true())
	Given a range of polygons or a range of polygons with holes (resp. More...

template<typename InputIterator1 , typename InputIterator2 >
bool	CGAL::do_intersect (InputIterator1 begin1, InputIterator1 end1, InputIterator2 begin2, InputIterator2 end2)
	Given a range of polygons (resp. More...

template<typename InputIterator1 , typename InputIterator2 , typename UsePolylines >
bool	CGAL::do_intersect (InputIterator1 begin1, InputIterator1 end1, InputIterator2 begin2, InputIterator2 end2, UsePolylines=Tag_true())
	Given a range of polygons (resp. More...

template<typename Kernel , typename Container , typename GpsTraits >
bool	CGAL::do_intersect (const Polygon_2< Kernel, Container > &pgn1, const Polygon_2< Kernel, Container > &pgn2, const GpsTraits &traits)
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container , typename GpsTraits >
bool	CGAL::do_intersect (const Polygon_2< Kernel, Container > &pgn1, const Polygon_with_holes_2< Kernel, Container > &pgn2, const GpsTraits &traits, const GpsTraits &traits)
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container , typename GpsTraits >
bool	CGAL::do_intersect (const Polygon_with_holes_2< Kernel, Container > &pgn1, const Polygon_2< Kernel, Container > &pgn2, const GpsTraits &traits)
	determines whether two polygons intersect in their interior. More...

template<typename Kernel , typename Container , typename GpsTraits >
bool	CGAL::do_intersect (const Polygon_with_holes_2< Kernel, Container > &pgn1, const Polygon_with_holes_2< Kernel, Container > &pgn2, const GpsTraits &traits)
	determines whether two polygons with holes intersect in their interior. More...

template<typename ArrTraits , typename GpsTraits >
bool	CGAL::do_intersect (const General_polygon_2< ArrTraits > &pgn1, const General_polygon_2< ArrTraits > &pgn2, const GpsTraits &traits)
	determines whether two general polygons intersect in their interior. More...

template<typename ArrTraits , typename GpsTraits >
bool	CGAL::do_intersect (const General_polygon_2< ArrTraits > &pgn1, const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &pgn2, const GpsTraits &traits)
	determines whether two general polygons intersect in their interior. More...

template<typename ArrTraits , typename GpsTraits >
bool	CGAL::do_intersect (const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &pgn1, const General_polygon_2< ArrTraits > &pgn2, const GpsTraits &traits)
	determines whether two general polygons intersect in their interior. More...

template<typename Polygon , typename GpsTraits >
bool	CGAL::do_intersect (const General_polygon_with_holes_2< Polygon > &pgn1, const General_polygon_with_holes_2< Polygon > &pgn2, const GpsTraits &traits)
	determines whether two general polygons with holes intersect in their interior. More...

template<typename InputIterator , typename GpsTraits >
bool	CGAL::do_intersect (InputIterator begin, InputIterator end, const GpsTraits &traits)
	Given a range of polygons or a range of polygons with holes (resp. More...

template<typename InputIterator1 , typename InputIterator2 , typename GpsTraits >
bool	CGAL::do_intersect (InputIterator1 begin1, InputIterator1 end1, InputIterator2 begin2, InputIterator2 end2, const GpsTraits &traits)
	Given a range of polygons (resp. More...

Function Documentation

◆ do_intersect() [1/26]

template<typename Kernel , typename Container >

bool CGAL::do_intersect	(	const Polygon_2< Kernel, Container > &	pgn1,
		const Polygon_2< Kernel, Container > &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [2/26]

template<typename Kernel , typename Container , typename UsePolylines >

bool CGAL::do_intersect	(	const Polygon_2< Kernel, Container > &	pgn1,
		const Polygon_2< Kernel, Container > &	pgn2,
		UsePolylines	= `Tag_true()`
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Template Parameters

UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true, which is the default, pgn1 and pgn2 are converted to general polygons, bounded by polylines before the operation is actually performed. If substituted with CGAL::Tag_false, pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [3/26]

template<typename Kernel , typename Container >

bool CGAL::do_intersect	(	const Polygon_2< Kernel, Container > &	pgn1,
		const Polygon_with_holes_2< Kernel, Container > &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [4/26]

template<typename Kernel , typename Container , typename UsePolylines >

bool CGAL::do_intersect	(	const Polygon_2< Kernel, Container > &	pgn1,
		const Polygon_with_holes_2< Kernel, Container > &	pgn2,
		UsePolylines	= `Tag_true()`
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Template Parameters

UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true, which is the default, pgn1 and pgn2 are converted to a general polygon and a general polygon with holes, respectively, bounded by polylines before the operation is actually performed. If substituted with CGAL::Tag_false, pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [5/26]

template<typename Kernel , typename Container >

bool CGAL::do_intersect	(	const Polygon_with_holes_2< Kernel, Container > &	pgn1,
		const Polygon_2< Kernel, Container > &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [6/26]

template<typename Kernel , typename Container , typename UsePolylines >

bool CGAL::do_intersect	(	const Polygon_with_holes_2< Kernel, Container > &	pgn1,
		const Polygon_2< Kernel, Container > &	pgn2,
		UsePolylines	= `Tag_true()`
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Template Parameters

UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true, which is the default, pgn1 and pgn2 are converted to a general polygon with holes and a general polygon, respectively, bounded by polylines before the operation is actually performed. If substituted with CGAL::Tag_false, pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [7/26]

template<typename Kernel , typename Container >

bool CGAL::do_intersect	(	const Polygon_with_holes_2< Kernel, Container > &	pgn1,
		const Polygon_with_holes_2< Kernel, Container > &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons with holes intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [8/26]

template<typename Kernel , typename Container , typename UsePolylines >

bool CGAL::do_intersect	(	const Polygon_with_holes_2< Kernel, Container > &	pgn1,
		const Polygon_with_holes_2< Kernel, Container > &	pgn2,
		UsePolylines	= `Tag_true()`
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons with holes intersect in their interior.

Template Parameters

UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true, which is the default, pgn1 and pgn2 are converted to general polygon with holes , bounded by polylines before the operation is actually performed. If substituted with CGAL::Tag_false, pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [9/26]

template<typename ArrTraits >

bool CGAL::do_intersect	(	const General_polygon_2< ArrTraits > &	pgn1,
		const General_polygon_2< ArrTraits > &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2.

◆ do_intersect() [10/26]

template<typename ArrTraits >

bool CGAL::do_intersect	(	const General_polygon_2< ArrTraits > &	pgn1,
		const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2.

◆ do_intersect() [11/26]

template<typename ArrTraits >

bool CGAL::do_intersect	(	const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &	pgn1,
		const General_polygon_2< ArrTraits > &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2.

◆ do_intersect() [12/26]

template<typename Polygon >

bool CGAL::do_intersect	(	const General_polygon_with_holes_2< Polygon > &	pgn1,
		const General_polygon_with_holes_2< Polygon > &	pgn2
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons with holes intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

◆ do_intersect() [13/26]

template<typename InputIterator >

bool CGAL::do_intersect	(	InputIterator	begin,
		InputIterator	end
	)

#include <CGAL/Boolean_set_operations_2.h>

Given a range of polygons or a range of polygons with holes (resp.

a range of general polygons or a range of general polygons with holes) determines whether the open polygons (resp. general polygons) in the range have a common point.

Parameters

begin	the first iterator of the input range. Its value type is either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
end	the past-the-end iterator of the input range. Its value type is either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).

Returns: true if the pairwise intersections of all open polygons or polygons with holes (resp. general polygons or general polygons with holes) in the range [*begin,*end) overlap, and false otherwise.

◆ do_intersect() [14/26]

template<typename InputIterator , typename UsePolylines >

bool CGAL::do_intersect	(	InputIterator	begin,
		InputIterator	end,
		UsePolylines	= `Tag_true()`
	)

#include <CGAL/Boolean_set_operations_2.h>

Given a range of polygons or a range of polygons with holes (resp.

a range of general polygons or a range of general polygons with holes) determines whether the open polygons (resp. general polygons) in the range have a common point.

Template Parameters

UsePolylines determines whether the boundaries of the polygons in the input range are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true, which is the default, the input polygons are converted to general polygon with holes , bounded by polylines before the operation is actually performed. If substituted with CGAL::Tag_false, pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.

Parameters

begin	the first iterator of the input range. Its value type is either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
end	the past-the-end iterator of the input range. Its value type is either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).

Returns: true if the pairwise intersections of all open polygons or polygons with holes (resp. general polygons or general polygons with holes) in the range [*begin,*end) overlap, and false otherwise.

◆ do_intersect() [15/26]

template<typename InputIterator1 , typename InputIterator2 >

bool CGAL::do_intersect	(	InputIterator1	begin1,
		InputIterator1	end1,
		InputIterator2	begin2,
		InputIterator2	end2
	)

#include <CGAL/Boolean_set_operations_2.h>

Given a range of polygons (resp.

general polygons) and a range of polygons with holes (resp. general polygons with holes) determines whether the open polygons (resp. general polygons) in the two ranges have a common point.

Parameters

begin1	the first iterator of the 1st input range. Its value type is `Polygon_2` (resp. `General_polygon_2`).
end1	the past-the-end iterator of the 1st input range. Its value type is `Polygon_2` (resp. `General_polygon_2`).
begin2	the first iterator of the 2nd input range. Its value type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
end2	the past-the-end iterator of the 2nd input range. Its value type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).

Returns: true if the pairwise intersections of all open polygons (resp. general polygons) and polygons with holes (resp. general polygons with holes) in the ranges [*begin1,*end1) and [*begin2,*end2), respectively, overlap, and false otherwise.

◆ do_intersect() [16/26]

template<typename InputIterator1 , typename InputIterator2 , typename UsePolylines >

bool CGAL::do_intersect	(	InputIterator1	begin1,
		InputIterator1	end1,
		InputIterator2	begin2,
		InputIterator2	end2,
		UsePolylines	= `Tag_true()`
	)

#include <CGAL/Boolean_set_operations_2.h>

Given a range of polygons (resp.

general polygons) and a range of polygons with holes (resp. general polygons with holes) determines whether the open polygons (resp. general polygons) in the two ranges have a common point.

Template Parameters

UsePolylines determines whether the boundaries of the polygons in the input ranges are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true, which is the default, the input polygons are converted to general polygon with holes , bounded by polylines before the operation is actually performed. If substituted with CGAL::Tag_false, pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.

Parameters

begin1	the first iterator of the 1st input range. Its value type is `Polygon_2` (resp. `General_polygon_2`).
end1	the past-the-end iterator of the 1st input range. Its value type is `Polygon_2` (resp. `General_polygon_2`).
begin2	the first iterator of the 2nd input range. Its value type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
end2	the past-the-end iterator of the 2nd input range. Its value type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).

Returns: true if the pairwise intersections of all open polygons (resp. general polygons) and polygons with holes (resp. general polygons with holes) in the ranges [*begin1,*end1) and [*begin2,*end2), respectively, overlap, and false otherwise.

◆ do_intersect() [17/26]

template<typename Kernel , typename Container , typename GpsTraits >

bool CGAL::do_intersect	(	const Polygon_2< Kernel, Container > &	pgn1,
		const Polygon_2< Kernel, Container > &	pgn2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.

◆ do_intersect() [18/26]

template<typename Kernel , typename Container , typename GpsTraits >

bool CGAL::do_intersect	(	const Polygon_2< Kernel, Container > &	pgn1,
		const Polygon_with_holes_2< Kernel, Container > &	pgn2,
		const GpsTraits &	traits,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.

◆ do_intersect() [19/26]

template<typename Kernel , typename Container , typename GpsTraits >

bool CGAL::do_intersect	(	const Polygon_with_holes_2< Kernel, Container > &	pgn1,
		const Polygon_2< Kernel, Container > &	pgn2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.

◆ do_intersect() [20/26]

template<typename Kernel , typename Container , typename GpsTraits >

bool CGAL::do_intersect	(	const Polygon_with_holes_2< Kernel, Container > &	pgn1,
		const Polygon_with_holes_2< Kernel, Container > &	pgn2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two polygons with holes intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.

◆ do_intersect() [21/26]

template<typename ArrTraits , typename GpsTraits >

bool CGAL::do_intersect	(	const General_polygon_2< ArrTraits > &	pgn1,
		const General_polygon_2< ArrTraits > &	pgn2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.; ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2.

◆ do_intersect() [22/26]

template<typename ArrTraits , typename GpsTraits >

bool CGAL::do_intersect	(	const General_polygon_2< ArrTraits > &	pgn1,
		const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &	pgn2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.; ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2.

◆ do_intersect() [23/26]

template<typename ArrTraits , typename GpsTraits >

bool CGAL::do_intersect	(	const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &	pgn1,
		const General_polygon_2< ArrTraits > &	pgn2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.; ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2.

◆ do_intersect() [24/26]

template<typename Polygon , typename GpsTraits >

bool CGAL::do_intersect	(	const General_polygon_with_holes_2< Polygon > &	pgn1,
		const General_polygon_with_holes_2< Polygon > &	pgn2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

determines whether two general polygons with holes intersect in their interior.

Parameters

pgn1	the 1st input polygon.
pgn2	the 2nd input polygon.
traits	a traits object.

Returns: true if pgn1 and pgn2 intersect in their interior and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.; GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.

◆ do_intersect() [25/26]

template<typename InputIterator , typename GpsTraits >

bool CGAL::do_intersect	(	InputIterator	begin,
		InputIterator	end,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

Given a range of polygons or a range of polygons with holes (resp.

a range of general polygons or a range of general polygons with holes) determines whether the open polygons (resp. general polygons) in the range have a common point.

Parameters

begin	the first iterator of the input range. Its value type is either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
end	the past-the-end iterator of the input range. Its value type is either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
traits	a traits object.

Returns: true if the pairwise intersections of all open polygons or polygons with holes (resp. general polygons or general polygons with holes) in the range [*begin,*end) overlap, and false otherwise.

Precondition: GpsTraits must be a model of the concept GeneralPolygonSetTraits_2.

◆ do_intersect() [26/26]

template<typename InputIterator1 , typename InputIterator2 , typename GpsTraits >

bool CGAL::do_intersect	(	InputIterator1	begin1,
		InputIterator1	end1,
		InputIterator2	begin2,
		InputIterator2	end2,
		const GpsTraits &	traits
	)

#include <CGAL/Boolean_set_operations_2.h>

Given a range of polygons (resp.

general polygons) and a range of polygons with holes (resp. general polygons with holes) determines whether the open polygons (resp. general polygons) in the two ranges have a common point.

Parameters

begin1	the first iterator of the 1st input range. Its value type is `Polygon_2` (resp. `General_polygon_2`).
end1	the past-the-end iterator of the 1st input range. Its value type is `Polygon_2` (resp. `General_polygon_2`).
begin2	the first iterator of the 2nd input range. Its value type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
end2	the past-the-end iterator of the 2nd input range. Its value type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
traits	a traits object.

Returns: true if the pairwise intersections of all open polygons (resp. general polygons) and polygons with holes (resp. general polygons with holes) in the ranges [*begin1,*end1) and [*begin2,*end2), respectively, overlap, and false otherwise.

Functions

Function Documentation

◆ do_intersect() [1/26]

◆ do_intersect() [2/26]

◆ do_intersect() [3/26]

◆ do_intersect() [4/26]

◆ do_intersect() [5/26]

◆ do_intersect() [6/26]

◆ do_intersect() [7/26]

◆ do_intersect() [8/26]

◆ do_intersect() [9/26]

◆ do_intersect() [10/26]

◆ do_intersect() [11/26]

◆ do_intersect() [12/26]

◆ do_intersect() [13/26]

◆ do_intersect() [14/26]

◆ do_intersect() [15/26]

◆ do_intersect() [16/26]

◆ do_intersect() [17/26]

◆ do_intersect() [18/26]

◆ do_intersect() [19/26]

◆ do_intersect() [20/26]

◆ do_intersect() [21/26]

◆ do_intersect() [22/26]

◆ do_intersect() [23/26]

◆ do_intersect() [24/26]

◆ do_intersect() [25/26]

◆ do_intersect() [26/26]