CGAL 6.1.2 - 3D Spherical Geometry Kernel: SphericalKernel::Equal_3 Concept Reference

CGAL 6.1.2 - 3D Spherical Geometry Kernel

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SphericalKernel::Equal_3 Concept Reference
Reference Manual » Geometric Concepts

## Definition

Testing equality between objects.

Refines
  `Kernel::Equal_3`

See also
  `SphericalKernel::CompareX_3`
  `SphericalKernel::CompareY_3`
  `SphericalKernel::CompareZ_3`
  `SphericalKernel::CompareXY_3`
  `SphericalKernel::CompareXYZ_3`

## 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.
bool | operator() (const SphericalKernel::Circular_arc_3 &a0, const SphericalKernel::Circular_arc_3 &a1)
| For two arcs.
bool | operator() (const SphericalKernel::Line_arc_3 &a0, const SphericalKernel::Line_arc_3 &a1)
| For two segments.

## Member Function Documentation

## ◆ operator()() [1/2]

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()() [2/2]

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.