CGAL 5.1 - 3D Spherical Geometry Kernel
SphericalKernel::Equal_3 Class Reference

#include <Concepts/SphericalKernel--Equal_3.h>

Definition

Operations

An object of this type must provide in addition:

bool operator() (const SphericalKernel::Circular_arc_point_3 &p0, const SphericalKernel::Circular_arc_point_3 &p1)
 For two points. More...
 
bool operator() (const SphericalKernel::Circular_arc_3 &a0, const SphericalKernel::Circular_arc_3 &a1)
 For two arcs. More...
 
bool operator() (const SphericalKernel::Line_arc_3 &a0, const SphericalKernel::Line_arc_3 &a1)
 For two segments. More...
 

Member Function Documentation

◆ operator()() [1/3]

bool SphericalKernel::Equal_3::operator() ( const SphericalKernel::Circular_arc_3 a0,
const SphericalKernel::Circular_arc_3 a1 
)

For two arcs.

Two arcs are equal, iff their non-oriented supporting planes are equal, and the centers and squared radii of their respective supporting circles are equal, and their sources and targets are equal.

◆ operator()() [2/3]

bool SphericalKernel::Equal_3::operator() ( const SphericalKernel::Circular_arc_point_3 p0,
const SphericalKernel::Circular_arc_point_3 p1 
)

For two points.

◆ operator()() [3/3]

bool SphericalKernel::Equal_3::operator() ( const SphericalKernel::Line_arc_3 a0,
const SphericalKernel::Line_arc_3 a1 
)

For two segments.

Two segments are equal, iff their non-oriented supporting lines are equal (i.e. they define the same set of points), and their endpoints are the same.