CGAL 4.12  3D Spherical Geometry Kernel

Operations  
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...  
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.
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.