Definition

The concept SegmentDelaunayGraphSite_2 provides the requirements for the sites of a segment Delaunay graph.

Refines: CopyConstructible
: Assignable
: DefaultConstructible

Has models
: CGAL::Segment_Delaunay_graph_site_2<K>

See also: SegmentDelaunayGraphTraits_2; CGAL::Segment_Delaunay_graph_site_2<K>; CGAL::Segment_Delaunay_graph_traits_2<K,MTag>; CGAL::Segment_Delaunay_graph_traits_without_intersections_2<K,MTag>; CGAL::Segment_Delaunay_graph_filtered_traits_2<CK,CM,EK,EM,FK,FM>; CGAL::Segment_Delaunay_graph_filtered_traits_without_intersections_2<CK,CM,EK,EM,FK,FM>

Types
typedef unspecified_type	Point_2
	The point type.

typedef unspecified_type	Segment_2
	The segment type.

typedef unspecified_type	FT
	The field number type.

typedef unspecified_type	RT
	The ring number type.

Creation
In addition to the default and copy constructors the following static methods must be available for constructing sites:
static SegmentDelaunayGraphSite_2	construct_site_2 (Point_2 p)
	Constructs a site from a point: the site represents the point `p`.

static SegmentDelaunayGraphSite_2	construct_site_2 (Point_2 p1, Point_2 p2)
	Constructs a site from two points: the site represents the (open) segment `(p1,p2)`.

static SegmentDelaunayGraphSite_2	construct_site_2 (Point_2 p1, Point_2 p2, Point_2 q1, Point_2 q2)
	Constructs a site from four points: the site represents the point of intersection of the segments `(p1,p2)` and `(q1,q2)`.

static SegmentDelaunayGraphSite_2	construct_site_2 (Point_2 p1, Point_2 p2, Point_2 q1, Point_2 q2, bool b)
	Constructs a site from four points and a Boolean: the site represents a segment.

static SegmentDelaunayGraphSite_2	construct_site_2 (Point_2 p1, Point_2 p2, Point_2 q1, Point_2 q2, Point_2 r1, Point_2 r2)
	Constructs a site from six points: the site represents the segment with endpoints the points of intersection of the pairs of segments `(p1,p2)`,`(q1,q2)` and `(p1,p2)`,`(r1,r2)`.

Predicates
bool	is_defined ()
	Returns `true` if the site represents a valid point or segment.

bool	is_point ()
	Returns `true` if the site represents a point.

bool	is_segment ()
	Returns `true` if the site represents a segment.

bool	is_input ()
	Returns `true` if the site represents an input point or a segment defined by two input points.

bool	is_input (unsigned int i)
	Returns `true` if the `i`-th endpoint of the site is an input point.

Access Functions
Point_2	point () const
	Returns the point represented by the site `s`.

Segment_2	segment () const
	Returns the segment represented by the site `s`.

Point_2	source () const
	Returns the source endpoint of the segment.

Point_2	target () const
	Returns the target endpoint of the segment.

SegmentDelaunayGraphSite_2	supporting_site ()
	Returns a segment site object representing the segment that supports the segment represented by the site.

SegmentDelaunayGraphSite_2	supporting_site (unsigned int i)
	Returns a segment site object representing the `i`-th segment that supports the point of intersection represented by the site.

SegmentDelaunayGraphSite_2	crossing_site (unsigned int i)
	Returns a segment site object representing the `i`-th segment that supports the \( i\)-th endpoint of the site which is not the supporting segment of the site.

SegmentDelaunayGraphSite_2	source_site ()
	Returns a point site object representing the source point of the site.

SegmentDelaunayGraphSite_2	target_site ()
	Returns a point site object representing the target point of the site.

Point_2	source_of_supporting_site ()
	Returns the source point of the supporting site of the this site.

Point_2	target_of_supporting_site ()
	Returns the target point of the supporting site of the this site.

Point_2	source_of_supporting_site (unsigned int i)
	Returns the source point of the `i`-th supporting site of the this site.

Point_2	target_of_supporting_site (unsigned int i)
	Returns the target point of the `i`-th supporting site of the this site.

Point_2	source_of_crossing_site (unsigned int i)
	Returns the source point of the `i`-th crossing site of the this site.

Point_2	target_of_crossing_site (unsigned int i)
	Returns the target point of the `i`-th supporting site of the this site.

Member Function Documentation

◆ construct_site_2()

static SegmentDelaunayGraphSite_2 SegmentDelaunayGraphSite_2::construct_site_2	(	Point_2	p1,
		Point_2	p2,
		Point_2	q1,
		Point_2	q2,
		bool	b
	)

static

Constructs a site from four points and a Boolean: the site represents a segment.

If b is true the endpoints are p1 and \( p_\times\), otherwise \( p_\times\) and p2. \( p_\times\) is the point of intersection of the segments (p1,p2),(q1,q2).

◆ crossing_site()

SegmentDelaunayGraphSite_2 SegmentDelaunayGraphSite_2::crossing_site ( unsigned int i )

Returns a segment site object representing the i-th segment that supports the \( i\)-th endpoint of the site which is not the supporting segment of the site.

Both endpoints of the returned site are input points.

Precondition: i must be at most \( 1\), s.is_segment() must be true and s.is_input(i) must be false.

◆ is_input() [1/2]

bool SegmentDelaunayGraphSite_2::is_input ( )

Returns true if the site represents an input point or a segment defined by two input points.

Returns false if it represents a point of intersection of two segments, or if it represents a segment, at least one endpoint of which is a point of intersection of two segments.

◆ is_input() [2/2]

bool SegmentDelaunayGraphSite_2::is_input ( unsigned int i )

Returns true if the i-th endpoint of the site is an input point.

Returns false if the i-th endpoint of the site is the intersection of two segments.

Precondition: i must be at most \( 1\), and s.is_segment() must be true.

◆ point()

Point_2 SegmentDelaunayGraphSite_2::point ( ) const

Returns the point represented by the site s.

Precondition: s.is_point() must be true.

◆ segment()

Segment_2 SegmentDelaunayGraphSite_2::segment ( ) const

Returns the segment represented by the site s.

Precondition: s.is_segment() must be true.

◆ source()

Point_2 SegmentDelaunayGraphSite_2::source ( ) const

Returns the source endpoint of the segment.

Note that this method can construct an inexact point if the number type used is inexact.

Precondition: s.is_segment() must be true.

◆ source_of_crossing_site()

Point_2 SegmentDelaunayGraphSite_2::source_of_crossing_site ( unsigned int i )

Returns the source point of the i-th crossing site of the this site.

Precondition: is_segment() must be true, is_input(i) must be false and i must either be 0 or 1.

◆ source_of_supporting_site() [1/2]

Point_2 SegmentDelaunayGraphSite_2::source_of_supporting_site ( )

Returns the source point of the supporting site of the this site.

Precondition: is_segment() must be true.

◆ source_of_supporting_site() [2/2]

Point_2 SegmentDelaunayGraphSite_2::source_of_supporting_site ( unsigned int i )

Returns the source point of the i-th supporting site of the this site.

Precondition: is_point() must be true, is_input() must be false and i must either be 0 or 1.

◆ source_site()

SegmentDelaunayGraphSite_2 SegmentDelaunayGraphSite_2::source_site ( )

Returns a point site object representing the source point of the site.

Precondition: s.is_segment() must be true.

◆ supporting_site() [1/2]

SegmentDelaunayGraphSite_2 SegmentDelaunayGraphSite_2::supporting_site ( )

Returns a segment site object representing the segment that supports the segment represented by the site.

Both endpoints of the returned site are input points.

Precondition: s.is_segment() must be true.

◆ supporting_site() [2/2]

SegmentDelaunayGraphSite_2 SegmentDelaunayGraphSite_2::supporting_site ( unsigned int i )

Returns a segment site object representing the i-th segment that supports the point of intersection represented by the site.

Both endpoints of the returned site are input points.

Precondition: i must be at most \( 1\), s.is_point() must be true and s.is_input() must be false.

◆ target()

Point_2 SegmentDelaunayGraphSite_2::target ( ) const

Returns the target endpoint of the segment.

Note that this method can construct an inexact point if the number type used is inexact.

Precondition: s.is_segment() must be true.

◆ target_of_crossing_site()

Point_2 SegmentDelaunayGraphSite_2::target_of_crossing_site ( unsigned int i )

Returns the target point of the i-th supporting site of the this site.

Precondition: is_segment() must be true, is_input(i) must be false and i must either be 0 or 1.

◆ target_of_supporting_site() [1/2]

Point_2 SegmentDelaunayGraphSite_2::target_of_supporting_site ( )

Returns the target point of the supporting site of the this site.

Precondition: is_segment() must be true.

◆ target_of_supporting_site() [2/2]

Point_2 SegmentDelaunayGraphSite_2::target_of_supporting_site ( unsigned int i )

Returns the target point of the i-th supporting site of the this site.

Precondition: is_point() must be true, is_input() must be false and i must either be 0 or 1.

◆ target_site()

SegmentDelaunayGraphSite_2 SegmentDelaunayGraphSite_2::target_site ( )

Returns a point site object representing the target point of the site.

Precondition: s.is_segment() must be true.

Definition

Types

Creation

Predicates

Access Functions

Member Function Documentation

◆ construct_site_2()

◆ crossing_site()

◆ is_input() [1/2]

◆ is_input() [2/2]

◆ point()

◆ segment()

◆ source()

◆ source_of_crossing_site()

◆ source_of_supporting_site() [1/2]

◆ source_of_supporting_site() [2/2]

◆ source_site()

◆ supporting_site() [1/2]

◆ supporting_site() [2/2]

◆ target()

◆ target_of_crossing_site()

◆ target_of_supporting_site() [1/2]

◆ target_of_supporting_site() [2/2]

◆ target_site()