CircularKernel::ConstructLineArc_2 Concept Reference

Definition

Operations
A model of this concept must provide:
CircularKernel::Line_arc_2	operator() (const CircularKernel::Line_2 &l, const CircularKernel::Circular_arc_point_2 &p1, const CircularKernel::Circular_arc_point_2 &p2)
	Constructs the line segment supported by l, whose source is p1 and whose target is p2. More...
CircularKernel::Line_arc_2	operator() (const CircularKernel::Segment_2 &s)
CircularKernel::Line_arc_2	operator() (const CircularKernel::Point_2 &p1, const CircularKernel::Point_2 &p2)
CircularKernel::Line_arc_2	operator() (const CircularKernel::Line_2 &l, const CircularKernel::Circle_2 &c1, bool b1, const CircularKernel::Circle_2 &c2, bool b2)
	Constructs the line segment whose supporting line is l, whose source endpoint is the \( b_1^{th}\) intersection of l with c1, and whose target endpoint is the \( b_2^{th}\) intersection of l and c2, where intersections are ordered lexicographically. More...
CircularKernel::Line_arc_2	operator() (const CircularKernel::Line_2 &l, const CircularKernel::Line_2 &l1, const CircularKernel::Line_2 &l2)
	Same, for intersections defined by lines instead of circles. More...

Member Function Documentation

CircularKernel::Line_arc_2 CircularKernel::ConstructLineArc_2::operator()	(	const CircularKernel::Line_2 &	l,
		const CircularKernel::Circular_arc_point_2 &	p1,
		const CircularKernel::Circular_arc_point_2 &	p2
	)

Constructs the line segment supported by l, whose source is p1 and whose target is p2.

Precondition

p1 and p2 lie on l.

CircularKernel::Line_arc_2 CircularKernel::ConstructLineArc_2::operator()

(

const CircularKernel::Segment_2 &

s

)

CircularKernel::Line_arc_2 CircularKernel::ConstructLineArc_2::operator()	(	const CircularKernel::Point_2 &	p1,
		const CircularKernel::Point_2 &	p2
	)

CircularKernel::Line_arc_2 CircularKernel::ConstructLineArc_2::operator()	(	const CircularKernel::Line_2 &	l,
		const CircularKernel::Circle_2 &	c1,
		bool	b1,
		const CircularKernel::Circle_2 &	c2,
		bool	b2
	)

Constructs the line segment whose supporting line is l, whose source endpoint is the \( b_1^{th}\) intersection of l with c1, and whose target endpoint is the \( b_2^{th}\) intersection of l and c2, where intersections are ordered lexicographically.

Precondition

l intersects both c1 and c2, and the arc defined by the intersections has non-zero length.

CircularKernel::Line_arc_2 CircularKernel::ConstructLineArc_2::operator()	(	const CircularKernel::Line_2 &	l,
		const CircularKernel::Line_2 &	l1,
		const CircularKernel::Line_2 &	l2
	)

Same, for intersections defined by lines instead of circles.