CGAL 5.4 - 3D Spherical Geometry Kernel
SphericalKernel::IsThetaMonotone_3 Concept Reference

## Definition

SphericalKernel::MakeThetaMonotone_3

## Operations

An object of this type must provide:

bool operator() (const SphericalKernel::Circular_arc_3 &a)
Tests whether the arc a is $$\theta$$-monotone, i.e. the intersection of any meridian anchored at the poles of the context sphere used by the function SphericalKernel::is_theta_monotone_3_object and the arc a is reduced to at most one point in general, and two points if a pole of that sphere is an endpoint of a. More...

## ◆ operator()()

 bool SphericalKernel::IsThetaMonotone_3::operator() ( const SphericalKernel::Circular_arc_3 & a )

Tests whether the arc a is $$\theta$$-monotone, i.e. the intersection of any meridian anchored at the poles of the context sphere used by the function SphericalKernel::is_theta_monotone_3_object and the arc a is reduced to at most one point in general, and two points if a pole of that sphere is an endpoint of a.

Note that a bipolar circle has no such arcs.

Precondition
a lies on the context sphere used by the function SphericalKernel::is_theta_monotone_3_object, and the supporting circle of a is not bipolar.