\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - Bounding Volumes
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CGAL::Min_quadrilateral_default_traits_2< K > Class Template Reference

#include <CGAL/Min_quadrilateral_traits_2.h>

Definition

The class Min_quadrilateral_default_traits_2 is a traits class for the functions min_rectangle_2, min_parallelogram_2 and min_strip_2 using a two-dimensional CGAL kernel.

Template Parameters
Kmust be a model for Kernel.
Is Model Of:
MinQuadrilateralTraits_2
See Also
CGAL::min_rectangle_2()
CGAL::min_parallelogram_2()
CGAL::min_strip_2()

Types

typedef unspecified_type Point_2
 Kernel::Point_2.
 
typedef unspecified_type Vector_2
 Kernel::Vector_2.
 
typedef unspecified_type Direction_2
 Kernel::Direction_2.
 
typedef unspecified_type Line_2
 Kernel::Line_2.
 
typedef unspecified_type Rectangle_2
 internal type.
 
typedef unspecified_type Parallelogram_2
 internal type.
 
typedef unspecified_type Strip_2
 internal type.
 

Predicates

typedef unspecified_type Equal_2
 Kernel::Equal_2.
 
typedef unspecified_type Less_xy_2
 Kernel::Less_xy_2.
 
typedef unspecified_type Less_yx_2
 Kernel::Less_yx_2.
 
typedef unspecified_type Orientation_2
 Kernel::Orientation_2.
 
typedef unspecified_type Has_on_negative_side_2
 Kernel::Has_on_negative_side_2.
 
typedef unspecified_type Compare_angle_with_x_axis_2
 Kernel::Compare_angle_with_x_axis_2.
 
typedef unspecified_type Area_less_rectangle_2
 AdaptableBinaryFunction class. More...
 
typedef unspecified_type Area_less_parallelogram_2
 AdaptableBinaryFunction class op: Parallelogram_2 \( \times\) Parallelogram_2 \( \rightarrow\) bool. More...
 
typedef unspecified_type Width_less_strip_2
 AdaptableBinaryFunction class. More...
 

Constructions

typedef unspecified_type Construct_vector_2
 Kernel::Construct_vector_2.
 
typedef unspecified_type Construct_vector_from_direction_2
 AdaptableFunctor. More...
 
typedef unspecified_type Construct_perpendicular_vector_2
 Kernel::Construct_perpendicular_vector_2.
 
typedef unspecified_type Construct_direction_2
 Kernel::Construct_direction_2.
 
typedef unspecified_type Construct_opposite_direction_2
 Kernel::Construct_opposite_direction_2.
 
typedef unspecified_type Construct_line_2
 Kernel::Construct_line_2.
 
typedef unspecified_type Construct_rectangle_2
 Function class op: Point_2 \( \times\) Direction_2 \( \times\) Point_2 \( \times\) Point_2 \( \times\) Point_2 \( \rightarrow\) Rectangle_2. More...
 
typedef unspecified_type Construct_parallelogram_2
 Function class. More...
 
typedef unspecified_type Construct_strip_2
 Function class op: Point_2 \( \times\) Direction_2 \( \times\) Point_2 \( \rightarrow\) Strip_2. More...
 

Operations

Additionally, for each of the predicate and construction functor types listed above, there is a member function that requires no arguments and returns an instance of that functor type.

The name of the member function is the uncapitalized name of the type returned with the suffix _object appended. For example, for the functor type Construct_vector_2 the following member function exists:

template<class OutputIterator >
OutputIterator copy_rectangle_vertices_2 (const Rectangle_2 &r, OutputIterator o) const
 copies the four vertices of r in counterclockwise order to o.
 
template<class OutputIterator >
OutputIterator copy_parallelogram_vertices_2 (const Parallelogram_2 &p, OutputIterator o) const
 copies the four vertices of p in counterclockwise order to o.
 
template<class OutputIterator >
OutputIterator copy_strip_lines_2 (const Strip_2 &s, OutputIterator o) const
 copies the two lines bounding s to o.
 
Construct_vector_2 construct_vector_2_object () const
 

Member Typedef Documentation

AdaptableBinaryFunction class op: Parallelogram_2 \( \times\) Parallelogram_2 \( \rightarrow\) bool.

op(p1,p2) returns true, iff the area of \( p1\) is strictly less than the area of \( p2\).

AdaptableBinaryFunction class.

op: Rectangle_2 \( \times\) Rectangle_2 \( \rightarrow\) bool. op(r1,r2) returns true, iff the area of \( r1\) is strictly less than the area of \( r2\).

Function class.

op: Point_2 \( \times\) Direction_2 \( \times\) Point_2 \( \times\) Direction_2 \( \times\) Point_2 \( \times\) Point_2 \( \rightarrow\) Rectangle_2. If the points p1,p2,p3,p4 form the boundary of a convex polygon (oriented counterclockwise), op(p1,d1,p2,d2,p3,p4) returns the parallelogram with one of the points on each side and one side parallel to each of d1 and d2.

Function class op: Point_2 \( \times\) Direction_2 \( \times\) Point_2 \( \times\) Point_2 \( \times\) Point_2 \( \rightarrow\) Rectangle_2.

If the points p1,p2,p3,p4 form the boundary of a convex polygon (oriented counterclockwise), op(p1,d,p2,p3,p4) returns the rectangle with one of the points on each side and one sides parallel to d.

Function class op: Point_2 \( \times\) Direction_2 \( \times\) Point_2 \( \rightarrow\) Strip_2.

op(p1,d,p2) returns the strip bounded by the lines through p1 resp. p2 with direction d.

AdaptableFunctor.

op: Direction_2 \( \rightarrow\) Vector_2.

op(d) returns a vector in direction d.

AdaptableBinaryFunction class.

op: Strip_2 \( \times\) Strip_2 \( \rightarrow\) bool. op(s1,s2) returns true, iff the width of \( s1\) is strictly less than the width of \( s2\).