CGAL 6.2 - Bounding Volumes

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RectangularPCenterTraits_2 Concept Reference
Reference Manual » Concepts

## 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 \( q\).