SphericalKernel::CompareTheta_3 Concept Reference

Definition

See also

SphericalKernel::CompareThetaZ_3

SphericalKernel::CompareX_3

SphericalKernel::CompareY_3

SphericalKernel::CompareZ_3

SphericalKernel::CompareXY_3

SphericalKernel::CompareXYZ_3

SphericalKernel::Equal_3

Operations
An object of this type must provide:
Comparison_result	operator() (const SphericalKernel::Circular_arc_point_3 &p, const SphericalKernel::Circular_arc_point_3 &q)
	Compares the \( \theta\)-coordinates of p and q in the cylindrical coordinate system relative to the context sphere used by the function SphericalKernel::compare_theta_3_object.
Comparison_result	operator() (const SphericalKernel::Circular_arc_point_3 &p, const SphericalKernel::Vector_3 &m)
	Compares the \( \theta\)-coordinates of p and of the meridian defined by m (see Section Spherical Kernel Objects) in the cylindrical coordinate system relative to the context sphere used by the function SphericalKernel::compare_theta_3_object.
Comparison_result	operator() (const SphericalKernel::Vector_3 &m, const SphericalKernel::Circular_arc_point_3 &p)
	Same as previous, with opposite result.
Comparison_result	operator() (const SphericalKernel::Vector_3 &m1, const SphericalKernel::Vector_3 &m2)
	Compares the \( \theta\)-coordinates of the meridians defined by m1 and by m2 (see Section Spherical Kernel Objects) in the cylindrical coordinate system relative to the context sphere used by the function SphericalKernel::compare_theta_3_object.

Member Function Documentation

operator()() [1/3]

Comparison_result SphericalKernel::CompareTheta_3::operator()	(	const SphericalKernel::Circular_arc_point_3 &	p,
		const SphericalKernel::Circular_arc_point_3 &	q
	)

Compares the \( \theta\)-coordinates of p and q in the cylindrical coordinate system relative to the context sphere used by the function SphericalKernel::compare_theta_3_object.

Precondition

p and q lie on the context sphere used by the function SphericalKernel::compare_theta_3_object, but do not coincide with its poles.

operator()() [2/3]

Comparison_result SphericalKernel::CompareTheta_3::operator()	(	const SphericalKernel::Circular_arc_point_3 &	p,
		const SphericalKernel::Vector_3 &	m
	)

Compares the \( \theta\)-coordinates of p and of the meridian defined by m (see Section Spherical Kernel Objects) in the cylindrical coordinate system relative to the context sphere used by the function SphericalKernel::compare_theta_3_object.

Precondition

p lies on the context sphere used by the function SphericalKernel::compare_theta_3_object, but does not coincide with its poles. m \( \neq(0,0,0)\) and the \( z\)-coordinate of m is \( 0\).

operator()() [3/3]

Comparison_result SphericalKernel::CompareTheta_3::operator()	(	const SphericalKernel::Vector_3 &	m1,
		const SphericalKernel::Vector_3 &	m2
	)

Compares the \( \theta\)-coordinates of the meridians defined by m1 and by m2 (see Section Spherical Kernel Objects) in the cylindrical coordinate system relative to the context sphere used by the function SphericalKernel::compare_theta_3_object.

m1 \( \neq(0,0,0)\), m2 \( \neq(0,0,0)\) and the \( z\)-coordinate of m1 and m2 is \( 0\).