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\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 4.12 - 3D Spherical Geometry Kernel
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SphericalKernel::CompareZAtTheta_3 Concept Reference
3D Spherical Geometry Kernel Reference » Geometric Concepts

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.