CGAL 6.1.2 - 3D Spherical Geometry Kernel: SphericalKernel::CompareZToRight_3 Concept Reference

CGAL 6.1.2 - 3D Spherical Geometry Kernel

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SphericalKernel::CompareZToRight_3 Concept Reference
Reference Manual » Geometric Concepts

## Definition

See also
  `SphericalKernel::CompareZAtTheta_3`

## Operations
An object of this type must provide:
Comparison_result | operator() (const SphericalKernel::Circular_arc_3 &a0, const SphericalKernel::Circular_arc_3 &a1, const SphericalKernel::Circular_arc_point_3 &p)
| Compares the \( z\)-coordinates of the intersection points of both arcs with a meridian anchored at the poles of the context sphere used by the function `SphericalKernel::compare_z_to_right_3_object`, at a \( \theta\)-coordinate infinitesimally greater that the \( \theta\)-coordinate of point `p`.

## Member Function Documentation

## ◆ operator()()

Comparison_result SphericalKernel::CompareZToRight_3::operator() | ( | const SphericalKernel::Circular_arc_3 & | a0,
|  | const SphericalKernel::Circular_arc_3 & | a1,
|  | const SphericalKernel::Circular_arc_point_3 & | p
| ) |  |

Compares the \( z\)-coordinates of the intersection points of both arcs with a meridian anchored at the poles of the context sphere used by the function `SphericalKernel::compare_z_to_right_3_object`, at a \( \theta\)-coordinate infinitesimally greater that the \( \theta\)-coordinate of point `p`.

Precondition
  `a0` and `a1` lie on the context sphere used by the function `SphericalKernel::compare_z_to_right_3_object`, `a0` and `a1` are \( \theta\)-monotone, `p` lies on `a0` and `a1` and is not a \( \theta\)-extremal point of the supporting circle of `a0` or `a1`.