Global Kernel Functions

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_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 \( cos(\theta_2) = cosine\). More...

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.