CGAL 4.7 - 3D Spherical Geometry Kernel: SphericalKernel::CompareZToRight_3 Concept Reference

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 3D Spherical Geometry Kernel

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SphericalKernel::CompareZToRight_3 Concept Reference
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`. More...

## Member Function Documentation

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`.