CGAL::Min_quadrilateral_default_traits_2<Kernel>

Definition

Requirements

#include <CGAL/Min_quadrilateral_traits_2.h>

Is Model for the Concepts

Types

Min_quadrilateral_default_traits_2<Kernel>::Point_2
	Kernel::Point_2.
Min_quadrilateral_default_traits_2<Kernel>::Vector_2
	Kernel::Vector_2.
Min_quadrilateral_default_traits_2<Kernel>::Direction_2
	Kernel::Direction_2.
Min_quadrilateral_default_traits_2<Kernel>::Line_2
	Kernel::Line_2.
Min_quadrilateral_default_traits_2<Kernel>::Rectangle_2
	internal type.
Min_quadrilateral_default_traits_2<Kernel>::Parallelogram_2
	internal type.
Min_quadrilateral_default_traits_2<Kernel>::Strip_2
	internal type.

Predicates

Min_quadrilateral_default_traits_2<Kernel>::Equal_2
	Kernel::Equal_2.
Min_quadrilateral_default_traits_2<Kernel>::Less_xy_2
	Kernel::Less_xy_2.
Min_quadrilateral_default_traits_2<Kernel>::Less_yx_2
	Kernel::Less_yx_2.
Min_quadrilateral_default_traits_2<Kernel>::Orientation_2
	Kernel::Orientation_2.
Min_quadrilateral_default_traits_2<Kernel>::Has_on_negative_side_2
	Kernel::Has_on_negative_side_2.
Min_quadrilateral_default_traits_2<Kernel>::Compare_angle_with_x_axis_2
	Kernel::Compare_angle_with_x_axis_2.
Min_quadrilateral_default_traits_2<Kernel>::Area_less_rectangle_2
	AdaptableBinaryFunction class op: Rectangle_2 $$ × Rectangle_2 $$ bool. op(r1,r2) returns true, iff the area of $$r1 is strictly less than the area of $$r2.
Min_quadrilateral_default_traits_2<Kernel>::Area_less_parallelogram_2
	AdaptableBinaryFunction class op: Parallelogram_2 $$ × Parallelogram_2 $$ bool. op(p1,p2) returns true, iff the area of $$p1 is strictly less than the area of $$p2.
Min_quadrilateral_default_traits_2<Kernel>::Width_less_strip_2
	AdaptableBinaryFunction class op: Strip_2 $$ × Strip_2 $$ bool. op(s1,s2) returns true, iff the width of $$s1 is strictly less than the width of $$s2.

Constructions

Min_quadrilateral_default_traits_2<Kernel>::Construct_vector_2
	Kernel::Construct_vector_2.
Min_quadrilateral_default_traits_2<Kernel>::Construct_vector_from_direction_2
	AdaptableFunctor op: Direction_2 $$ Vector_2. op(d) returns a vector in direction d.
Min_quadrilateral_default_traits_2<Kernel>::Construct_perpendicular_vector_2
	Kernel::Construct_perpendicular_vector_2.
Min_quadrilateral_default_traits_2<Kernel>::Construct_direction_2
	Kernel::Construct_direction_2.
Min_quadrilateral_default_traits_2<Kernel>::Construct_opposite_direction_2
	Kernel::Construct_opposite_direction_2.
Min_quadrilateral_default_traits_2<Kernel>::Construct_line_2
	Kernel::Construct_line_2.
Min_quadrilateral_default_traits_2<Kernel>::Construct_rectangle_2
	Function class op: Point_2 $$ × Direction_2 $$ × Point_2 $$ × Point_2 $$ × Point_2 $$ 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.
Min_quadrilateral_default_traits_2<Kernel>::Construct_parallelogram_2
	Function class op: Point_2 $$ × Direction_2 $$ × Point_2 $$ × Direction_2 $$ × Point_2 $$ × Point_2 $$ 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.
Min_quadrilateral_default_traits_2<Kernel>::Construct_strip_2
	Function class op: Point_2 $$ × Direction_2 $$ × Point_2 $$ Strip_2. op(p1,d,p2) returns the strip bounded by the lines through p1 resp. p2 with direction d.

Operations

template < class OutputIterator >
OutputIterator	t.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	t.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	t.copy_strip_lines_2 ( const Strip_2& s, OutputIterator o) const
		copies the two lines bounding s to o.

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:

Construct_vector_2

t.construct_vector_2_object () const

See Also