RectangularPCenterTraits_2 Concept Reference

Definition

The concept RectangularPCenterTraits_2 defines types and operations needed to compute rectilinear \( p\)-centers of a planar point set using the function CGAL::rectangular_p_center_2().

Has models

CGAL::Rectangular_p_center_default_traits_2<K>

See also

CGAL::rectangular_p_center_2()

Types
typedef unspecified_type	FT
	model for FieldNumberType.
typedef unspecified_type	Point_2
	model for Kernel::Point_2.
typedef unspecified_type	Iso_rectangle_2
	model for Kernel::IsoRectangle_2.
typedef unspecified_type	Less_x_2
	model for Kernel::LessX_2.
typedef unspecified_type	Less_y_2
	model for Kernel::LessY_2.
typedef unspecified_type	Construct_vertex_2
	model for Kernel::ConstructVertex_2.
typedef unspecified_type	Construct_iso_rectangle_2
	model for Kernel::ConstructIsoRectangle_2.
typedef unspecified_type	Signed_x_distance_2
	adaptable binary function class: Point_2 \( \times\) Point_2 \( \rightarrow\) FT returns the signed distance of two points' \( x\)-coordinates.
typedef unspecified_type	Signed_y_distance_2
	adaptable binary function class: Point_2 \( \times\) Point_2 \( \rightarrow\) FT returns the signed distance of two points' \( y\)-coordinates.
typedef unspecified_type	Infinity_distance_2
	adaptable binary function class: Point_2 \( \times\) Point_2 \( \rightarrow\) FT returns the \( ||\cdot||_{\infty}\) distance of two points.
typedef unspecified_type	Signed_infinity_distance_2
	adaptable binary function class: Point_2 \( \times\) Point_2 \( \rightarrow\) FT returns the signed \( ||\cdot||_{\infty}\) distance of two points.
typedef unspecified_type	Construct_point_2_below_left_implicit_point_2
	3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.
typedef unspecified_type	Construct_point_2_below_right_implicit_point_2
	3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.
typedef unspecified_type	Construct_point_2_above_right_implicit_point_2
	3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.
typedef unspecified_type	Construct_point_2_above_left_implicit_point_2
	3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.

Operations
For every function class listed above there is a member function to fetch the corresponding function object.
Inf_distance_2	inf_distance_2_object () const
Signed_inf_distance_2	signed_inf_distance_2_object () const
Construct_vertex_2	construct_vertex_2_object () const
Construct_iso_rectangle_2	construct_iso_rectangle_2_object () const
Construct_iso_rectangle_2_below_left_point_2	construct_iso_rectangle_2_below_left_point_2_object () const
Construct_iso_rectangle_2_above_left_point_2	construct_iso_rectangle_2_above_left_point_2_object () const
Construct_iso_rectangle_2_below_right_point_2	construct_iso_rectangle_2_below_right_point_2_object () const
Construct_iso_rectangle_2_above_right_point_2	construct_iso_rectangle_2_above_right_point_2_object () const

Member Typedef Documentation

Construct_point_2_above_left_implicit_point_2

typedef unspecified_type RectangularPCenterTraits_2::Construct_point_2_above_left_implicit_point_2

3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.

For arguments \( (p,\,q,\,r)\) it returns the upper-left corner of the iso-oriented square with sidelength \( r\) and lower-right corner at the intersection of the vertical line through \( p\) and the horizontal line through \( q\).

Construct_point_2_above_right_implicit_point_2

typedef unspecified_type RectangularPCenterTraits_2::Construct_point_2_above_right_implicit_point_2

3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.

For arguments \( (p,\,q,\,r)\) it returns the upper-right corner of the iso-oriented square with sidelength \( r\) and lower-left corner at the intersection of the vertical line through \( p\) and the horizontal line through \( q\).

Construct_point_2_below_left_implicit_point_2

typedef unspecified_type RectangularPCenterTraits_2::Construct_point_2_below_left_implicit_point_2

3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.

For arguments \( (p,\,q,\,r)\) it returns the lower-left corner of the iso-oriented square with sidelength \( r\) and upper-right corner at the intersection of the vertical line through \( p\) and the horizontal line through \( q\).

Construct_point_2_below_right_implicit_point_2

typedef unspecified_type RectangularPCenterTraits_2::Construct_point_2_below_right_implicit_point_2

3-argument function class: Point_2 \( \times\) Point_2 \( \times\) FT \( \rightarrow\) Point_2.

For arguments \( (p,\,q,\,r)\) it returns the lower-right corner of the iso-oriented square with sidelength \( r\) and upper-left corner at the intersection of the vertical line through \( p\) and the horizontal line through \( q\).