Modules
	CGAL::angle()

	CGAL::approximate_angle()

	CGAL::approximate_dihedral_angle()

	CGAL::area()

	CGAL::are_ordered_along_line()

	CGAL::are_strictly_ordered_along_line()

	CGAL::barycenter()

	CGAL::bisector()

	CGAL::centroid()

	CGAL::circumcenter()

	CGAL::collinear_are_ordered_along_line()

	CGAL::collinear_are_strictly_ordered_along_line()

	CGAL::collinear()

	CGAL::compare_dihedral_angle()

	CGAL::compare_distance_to_point()

	CGAL::compare_lexicographically()

	CGAL::compare_signed_distance_to_line()

	CGAL::compare_signed_distance_to_plane()

	CGAL::compare_slope()

	CGAL::compare_squared_distance()

	CGAL::compare_squared_radius()

	CGAL::compare_x()

	CGAL::compare_xy()

	CGAL::compare_x_at_y()


	CGAL::compare_y_at_x()


	CGAL::compare_y()

	CGAL::compare_xyz()

	CGAL::compare_z()

	CGAL::compare_yx()

	CGAL::coplanar()

	CGAL::coplanar_orientation()

	CGAL::coplanar_side_of_bounded_circle()

	CGAL::cross_product()

	CGAL::determinant()

	Intersection Testing Functions - CGAL::do_intersect()

	CGAL::equidistant_line()

	CGAL::has_larger_distance_to_point()

	CGAL::has_larger_signed_distance_to_line()

	CGAL::has_larger_signed_distance_to_plane()

	CGAL::has_smaller_distance_to_point()

	CGAL::has_smaller_signed_distance_to_line()

	CGAL::has_smaller_signed_distance_to_plane()

	Intersection Computation Functions - CGAL::intersection()

	CGAL::l_infinity_distance()

	CGAL::left_turn()

	CGAL::lexicographically_xy_larger()

	CGAL::lexicographically_xy_larger_or_equal()

	CGAL::lexicographically_xy_smaller()

	CGAL::lexicographically_xy_smaller_or_equal()

	CGAL::lexicographically_xyz_smaller()

	CGAL::lexicographically_xyz_smaller_or_equal()

	CGAL::max_vertex()

	CGAL::midpoint()

	CGAL::min_vertex()

	CGAL::normal()

	CGAL::orientation()

	CGAL::orthogonal_vector()

	CGAL::parallel()

	CGAL::radical_plane()

	CGAL::radical_line()

	CGAL::rational_rotation_approximation()

	CGAL::right_turn()

	CGAL::scalar_product()

	CGAL::side_of_bounded_circle()

	CGAL::side_of_bounded_sphere()

	CGAL::side_of_oriented_circle()

	CGAL::side_of_oriented_sphere()

	CGAL::squared_area()

	CGAL::squared_distance()

	CGAL::squared_length()

	CGAL::squared_radius()

	CGAL::unit_normal()

	CGAL::volume()

	CGAL::x_equal()

	CGAL::y_equal()

	CGAL::z_equal()

	CGAL::operator+

	CGAL::operator-

	CGAL::operator*

	CGAL::do_overlap()

Functions
template<typename Kernel >
Comparison_result	CGAL::compare_angle (const CGAL::Point_3< Kernel > &a, const CGAL::Point_3< Kernel > &b, const CGAL::Point_3< Kernel > &c, const Kernel::FT &cosine)
	compares the angles \( \theta_1\) and \( \theta_2\), where \( \theta_1\) is the angle in \( [0, \pi]\) of the triangle \( (a, b, c)\) at the vertex `b`, and \( \theta_2\) is the angle in \( [0, \pi]\) such that \( cos(\theta_2) = cosine\).

template<typename Kernel >
Comparison_result	CGAL::compare_projection_along_direction_3 (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Direction_3< Kernel > &dir)
	returns `CGAL::SMALLER`, `CGAL::EQUAL`, or `CGAL::LARGER` if the projection of `p` onto a line with direction `dir` precedes, coincides, or follows that of `q` in the direction pointed by `dir`.

Function Documentation

◆ compare_angle()

template<typename Kernel >

Comparison_result CGAL::compare_angle	(	const CGAL::Point_3< Kernel > &	a,
		const CGAL::Point_3< Kernel > &	b,
		const CGAL::Point_3< Kernel > &	c,
		const Kernel::FT &	cosine
	)

#include <CGAL/Kernel/global_functions.h>

compares the angles \( \theta_1\) and \( \theta_2\), where \( \theta_1\) is the angle in \( [0, \pi]\) of the triangle \( (a, b, c)\) at the vertex b, and \( \theta_2\) is the angle in \( [0, \pi]\) such that \( cos(\theta_2) = cosine\).

Precondition: a!=b && c!=b.

◆ compare_projection_along_direction_3()

template<typename Kernel >

Comparison_result CGAL::compare_projection_along_direction_3	(	const CGAL::Point_3< Kernel > &	p,
		const CGAL::Point_3< Kernel > &	q,
		const CGAL::Direction_3< Kernel > &	dir
	)

#include <CGAL/Kernel/global_functions.h>

returns CGAL::SMALLER, CGAL::EQUAL, or CGAL::LARGER if the projection of p onto a line with direction dir precedes, coincides, or follows that of q in the direction pointed by dir.

See also: CGAL::compare_distance_to_point(); CGAL::compare_signed_distance_to_line(); CGAL::compare_signed_distance_to_plane(); CGAL::has_larger_distance_to_point(); CGAL::has_larger_signed_distance_to_line(); CGAL::has_larger_signed_distance_to_plane(); CGAL::has_smaller_distance_to_point(); CGAL::has_smaller_signed_distance_to_line(); CGAL::has_smaller_signed_distance_to_plane()

Modules

Functions

Function Documentation

◆ compare_angle()

◆ compare_projection_along_direction_3()