\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.4 - 2D Circular Geometry Kernel
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CircularKernel::ConstructLineArc_2 Concept Reference
Geometric Concepts

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.
 

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::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.