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## SegmentVoronoiDiagramSite_2

### Definition

The concept SegmentVoronoiDiagramSite_2 provides the requirements for the sites of a segment Voronoi diagram.

### Refines

DefaultConstructible
CopyConstructible
Assignable

### Types

SegmentVoronoiDiagramSite_2::Point_2
| The point type.
SegmentVoronoiDiagramSite_2::Segment_2
| The segment type.
SegmentVoronoiDiagramSite_2::FT
| The field number type.
SegmentVoronoiDiagramSite_2::RT
| The ring number type.

### Creation

In addition to the default and copy constructors the following static methods are available for constructing sites:

SegmentVoronoiDiagramSite_2
| s.construct_site_2 ( Point_2 p)
|  | Constructs a site from a point: the site represents the point p.
SegmentVoronoiDiagramSite_2
| s.construct_site_2 ( Point_2 p1, Point_2 p2)
|  | Constructs a site from two points: the site represents the (open) segment (p1,p2).
SegmentVoronoiDiagramSite_2
s.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).
SegmentVoronoiDiagramSite_2
s.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. If b is true the endpoints are p1 and p × , otherwise p × and p2. p × is the point of intersection of the segments (p1,p2),(q1,q2).
SegmentVoronoiDiagramSite_2
s.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 | s.is_defined () | Returns true if the site represents a valid point or segment.
bool | s.is_point () | Returns true if the site represents a point.
bool | s.is_segment () | Returns true if the site represents a segment.
bool | s.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.
bool | s.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.

### Access Functions

Point_2 | s.point () | Returns the point represented by the site s. Precondition: s.is_point() must be true.
Segment_2 | s.segment () | Returns the segment represented by the site s. Precondition: s.is_segment() must be true.
Point_2 | s.source () | 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.
Point_2 | s.target () | 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.
SegmentVoronoiDiagramSite_2
| s.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.
SegmentVoronoiDiagramSite_2
| s.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.
SegmentVoronoiDiagramSite_2
| s.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.
SegmentVoronoiDiagramSite_2
| s.source_site () | Returns a point site object representing the source point of the site. Precondition: s.is_segment() must be true.
SegmentVoronoiDiagramSite_2
| s.target_site () | Returns a point site object representing the target point of the site. Precondition: s.is_segment() must be true.
Point_2 | s.source_of_supporting_site ()
|  | Returns the source point of the supporting site of the this site. Precondition: is_segment() must be true.
Point_2 | s.target_of_supporting_site ()
|  | Returns the target point of the supporting site of the this site. Precondition: is_segment() must be true.
Point_2 | s.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.
Point_2 | s.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.
Point_2 | s.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.
Point_2 | s.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.

### Has Models

CGAL::Segment_Voronoi_diagram_site_2<K>

### See Also

SegmentVoronoiDiagramTraits_2
CGAL::Segment_Voronoi_diagram_site_2<K>
CGAL::Segment_Voronoi_diagram_traits_2<K,MTag>
CGAL::Segment_Voronoi_diagram_traits_without_intersections_2<K,MTag>
CGAL::Segment_Voronoi_diagram_filtered_traits_2<CK,CM,EK,EM,FK,FM>
CGAL::Segment_Voronoi_diagram_filtered_traits_without_intersections_2<CK,CM,EK,EM,FK,FM>

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The CGAL Project . Tue, December 21, 2004 .