CGAL::Rectangular_p_center_default_traits_2< K > Class Template Reference

#include <CGAL/rectangular_p_center_2.h>

Definition

template<typename K>
class CGAL::Rectangular_p_center_default_traits_2< K >

The class Rectangular_p_center_default_traits_2 defines types and operations needed to compute rectilinear $p$-centers of a planar point set using the function rectangular_p_center_2().

Template Parameters

K	must be a model for Kernel.

Is model of

RectangularPCenterTraits_2

See also

CGAL::rectangular_p_center_2()

Types
typedef unspecified_type	FT
	typedef to K::FT.
typedef unspecified_type	Point_2
	typedef to K::Point_2.
typedef unspecified_type	Iso_rectangle_2
	typedef to K::Iso_rectangle_2.
typedef unspecified_type	Less_x_2
	typedef to K::Less_x_2.
typedef unspecified_type	Less_y_2
	typedef to K::Less_y_2.
typedef unspecified_type	Construct_vertex_2
	typedef to K::Construct_vertex_2.
typedef unspecified_type	Construct_iso_rectangle_2
	typedef to K::Construct_iso_rectangle_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

template<typename K >

typedef unspecified_type CGAL::Rectangular_p_center_default_traits_2< K >::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

template<typename K >

typedef unspecified_type CGAL::Rectangular_p_center_default_traits_2< K >::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

template<typename K >

typedef unspecified_type CGAL::Rectangular_p_center_default_traits_2< K >::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

template<typename K >

typedef unspecified_type CGAL::Rectangular_p_center_default_traits_2< K >::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 $q$.