CGAL::Arr_circle_segment_traits_2< Kernel >::X_monotone_curve_2 Class Reference

#include <CGAL/Arr_circle_segment_traits_2.h>

Definition

The X_monotone_curve_2 class nested within the traits class can represent \( x\)-monotone and line segments (which are always weakly \( x\)-monotone).

The copy and default constructor as well as the assignment operator are provided. In addition, an operator<< for the curves is defined for standard output streams.

Creation
	X_monotone_curve_2 (const typename Kernel::Point_2 &source, const typename Kernel::Point_2 &target)
	constructs an curve corresponding to the line segment directed from source to target, both having rational coordinates.
	X_monotone_curve_2 (const typename Kernel::Line_2 &line, const Point_2 &source, const Point_2 &target)
	constructs an curve corresponding to the line segment supported by the given line, directed from source to target. More...
	X_monotone_curve_2 (const typename Kernel::Circle_2 &circ, const Point_2 &source, const Point_2 &target, Orientation orient)
	constructs a circular arc supported by circ, which has a center point with rational coordinates and whose squared radius is rational, with the given endpoints. More...

Access Functions
const Point_2 &	source () const
	returns the source point of xcv.
const Point_2 &	target () const
	returns the target point of xcv.
bool	is_directed_right () const
	returns true if xcv is directed right, false otherwise.
const Point_2 &	left () const
	returns the left (lexicographically smaller) endpoint of xcv.
const Point_2 &	right () const
	returns the right (lexicographically larger) endpoint of xcv.
Orientation	orientation () const
	returns the orientation of the curve (COLLINEAR in case of line segments).
bool	is_linear () const
	determines whether xcv is a line segment.
bool	is_circular () const
	determines whether xcv is a circular arc.
Kernel::Line_2	supporting_line () const
	returns the supporting line of xcv. More...
Kernel::Circle_2	supporting_circle () const
	returns the supporting circle of xcv. More...
Bbox_2	bbox () const
	returns a bounding box of the arc xcv.

Constructor & Destructor Documentation

X_monotone_curve_2() [1/2]

template<typename Kernel >

CGAL::Arr_circle_segment_traits_2< Kernel >::X_monotone_curve_2::X_monotone_curve_2	(	const typename Kernel::Line_2 &	line,
		const Point_2 &	source,
		const Point_2 &	target
	)

constructs an curve corresponding to the line segment supported by the given line, directed from source to target.

Note that the two endpoints may have one-root coordinates.

Precondition

Both endpoints must lie on the given supporting line.

X_monotone_curve_2() [2/2]

template<typename Kernel >

CGAL::Arr_circle_segment_traits_2< Kernel >::X_monotone_curve_2::X_monotone_curve_2	(	const typename Kernel::Circle_2 &	circ,
		const Point_2 &	source,
		const Point_2 &	target,
		Orientation	orient
	)

constructs a circular arc supported by circ, which has a center point with rational coordinates and whose squared radius is rational, with the given endpoints.

The orientation of the arc is determined by orient.

Precondition

Both endpoints must lie on the given supporting circle.

The circular arc is \( x\)-monotone.

Member Function Documentation

supporting_circle()

template<typename Kernel >

Kernel::Circle_2 CGAL::Arr_circle_segment_traits_2< Kernel >::X_monotone_curve_2::supporting_circle

(

)

const

returns the supporting circle of xcv.

Precondition

xcv is a circular arc.

supporting_line()

template<typename Kernel >

Kernel::Line_2 CGAL::Arr_circle_segment_traits_2< Kernel >::X_monotone_curve_2::supporting_line

(

)

const

returns the supporting line of xcv.

Precondition

xcv is a line segment.