CGAL::Arr_conic_traits_2< RatKernel, AlgKernel, NtTraits >::Construct_x_monotone_curve_2 Class Reference

#include <CGAL/Arr_conic_traits_2.h>

Definition

template<typename RatKernel, typename AlgKernel, typename NtTraits>
class CGAL::Arr_conic_traits_2< RatKernel, AlgKernel, NtTraits >::Construct_x_monotone_curve_2

A functor that constructs an \(x\)-monotone conic arc.

Public Member Functions
X_monotone_curve_2	operator() (const Curve_2 &cv) const
	converts a given arc to an \(x\)-monotone arc.
X_monotone_curve_2	operator() (const Point_2 &source, const Point_2 &target) const
	Constructs an \(x\)-monotone curve connecting the two given endpoints.
X_monotone_curve_2	operator() (const Algebraic &a, const Algebraic &b, const Algebraic &c, const Point_2 &source, const Point_2 &target) const
	Constructs a special segment of a given line connecting to given endpoints.

Member Function Documentation

operator()() [1/3]

template<typename RatKernel , typename AlgKernel , typename NtTraits >

X_monotone_curve_2 CGAL::Arr_conic_traits_2< RatKernel, AlgKernel, NtTraits >::Construct_x_monotone_curve_2::operator()	(	const Algebraic &	a,
		const Algebraic &	b,
		const Algebraic &	c,
		const Point_2 &	source,
		const Point_2 &	target
	)		const

Constructs a special segment of a given line connecting to given endpoints.

Parameters

a,b,c	The coefficients of the supporting line ( \(ax + by + c = 0\)).
source	The source point.
target	The target point.

Precondition

source and target must not be the same.

Returns

A segment connecting source and target.

operator()() [2/3]

template<typename RatKernel , typename AlgKernel , typename NtTraits >

X_monotone_curve_2 CGAL::Arr_conic_traits_2< RatKernel, AlgKernel, NtTraits >::Construct_x_monotone_curve_2::operator()

(

const Curve_2 &

cv

)

const

converts a given arc to an \(x\)-monotone arc.

Parameters

cv	The input arc.

Precondition

cv is \(x\)-monotone.

operator()() [3/3]

template<typename RatKernel , typename AlgKernel , typename NtTraits >

X_monotone_curve_2 CGAL::Arr_conic_traits_2< RatKernel, AlgKernel, NtTraits >::Construct_x_monotone_curve_2::operator()	(	const Point_2 &	source,
		const Point_2 &	target
	)		const

Constructs an \(x\)-monotone curve connecting the two given endpoints.

Parameters

source	The first point.
target	The second point.

Precondition

source and target must not be the same.

Returns

A segment connecting source and target.