CGAL::Min_quadrilateral_default_traits_2< K > Struct Template Reference

#include <CGAL/Min_quadrilateral_traits_2.h>

Definition

template<typename K>
struct CGAL::Min_quadrilateral_default_traits_2< K >

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

K	must 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.
typedef unspecified_type	Area_less_parallelogram_2
	AdaptableBinaryFunction class op: Parallelogram_2 \( \times\) Parallelogram_2 \( \rightarrow\) bool.
typedef unspecified_type	Width_less_strip_2
	AdaptableBinaryFunction class.

Constructions
typedef unspecified_type	Construct_vector_2
	Kernel::Construct_vector_2.
typedef unspecified_type	Construct_vector_from_direction_2
	AdaptableFunctor.
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.
typedef unspecified_type	Construct_parallelogram_2
	Function class.
typedef unspecified_type	Construct_strip_2
	Function class op: Point_2 \( \times\) Direction_2 \( \times\) Point_2 \( \rightarrow\) Strip_2.

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

Area_less_parallelogram_2

template<typename K >

typedef unspecified_type CGAL::Min_quadrilateral_default_traits_2< K >::Area_less_parallelogram_2

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 \( p2\).

Area_less_rectangle_2

template<typename K >

typedef unspecified_type CGAL::Min_quadrilateral_default_traits_2< K >::Area_less_rectangle_2

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 \( r2\).

Construct_parallelogram_2

template<typename K >

typedef unspecified_type CGAL::Min_quadrilateral_default_traits_2< K >::Construct_parallelogram_2

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.

Construct_rectangle_2

template<typename K >

typedef unspecified_type CGAL::Min_quadrilateral_default_traits_2< K >::Construct_rectangle_2

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.

Construct_strip_2

template<typename K >

typedef unspecified_type CGAL::Min_quadrilateral_default_traits_2< K >::Construct_strip_2

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.

Construct_vector_from_direction_2

template<typename K >

typedef unspecified_type CGAL::Min_quadrilateral_default_traits_2< K >::Construct_vector_from_direction_2

AdaptableFunctor.

op: Direction_2 \( \rightarrow\) Vector_2.

op(d) returns a vector in direction d.

Width_less_strip_2

template<typename K >

typedef unspecified_type CGAL::Min_quadrilateral_default_traits_2< K >::Width_less_strip_2

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 \( s2\).