SphericalKernel::IsThetaMonotone_3 Concept Reference

Definition

See also

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...

Member Function Documentation

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.