CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 
CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 
CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 
CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 
CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 
CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 
CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 
CGAL 5.5 - 2D Triangulations
TriangulationVertexBase_2 Concept Reference

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.
 

#include <Concepts/TriangulationVertexBase_2.h>

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.