SphericalKernel::CompareZAtTheta_3 Concept Reference

Definition

See also

SphericalKernel::CompareZToRight_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::Vector_3 &m)
	compares the \( z\)-coordinates of the two intersections points of a0 and a1 with the meridian defined by m (see Section Spherical Kernel Objects). More...
Comparison_result	operator() (const SphericalKernel::Circular_arc_point_3 &p, const SphericalKernel::Circular_arc_3 &a)
	given a meridian anchored at the poles of the context sphere used by the function SphericalKernel::compare_z_at_theta_3_object, and passing through point p, compares the \( z\)-coordinate of point p and that of the intersection of the meridian with a. More...

Member Function Documentation

operator()() [1/2]

Comparison_result SphericalKernel::CompareZAtTheta_3::operator()	(	const SphericalKernel::Circular_arc_3 &	a0,
		const SphericalKernel::Circular_arc_3 &	a1,
		const SphericalKernel::Vector_3 &	m
	)

compares the \( z\)-coordinates of the two intersections points of a0 and a1 with the meridian defined by m (see Section Spherical Kernel Objects).

Precondition

a0 and a1 lie on the context sphere used by the function SphericalKernel::compare_z_at_theta_3_object. m \( \neq(0,0,0)\) and the \( z\)-coordinate of m is \( 0\). Arcs a0 and a1 are \( \theta\)-monotone and both intersected by the meridian defined by m(see Section Spherical Kernel Objects).

operator()() [2/2]

Comparison_result SphericalKernel::CompareZAtTheta_3::operator()	(	const SphericalKernel::Circular_arc_point_3 &	p,
		const SphericalKernel::Circular_arc_3 &	a
	)

given a meridian anchored at the poles of the context sphere used by the function SphericalKernel::compare_z_at_theta_3_object, and passing through point p, compares the \( z\)-coordinate of point p and that of the intersection of the meridian with a.

Precondition

a and p lie on the context sphere used by the function SphericalKernel::compare_z_at_theta_3_object, arc a is \( \theta\)-monotone and the meridian passing through p intersects arc a.