SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Kernel/global_functions_3.h File Reference

#include <CGAL/user_classes.h>
#include <CGAL/Kernel/global_functions_internal_3.h>
#include <CGAL/Kernel/mpl.h>

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Functions
template<typename K >
CGAL_BEGIN_NAMESPACE Angle	angle (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<typename K >
K::Boolean	are_negative_oriented (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::Boolean	are_ordered_along_line (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<typename K >
K::Boolean	are_positive_oriented (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::Boolean	are_strictly_ordered_along_line (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Point_3	barycenter (const Point_3< K > &p1, const typename K::FT &w1, const Point_3< K > &p2)
template<class K >
K::Point_3	barycenter (const Point_3< K > &p1, const typename K::FT &w1, const Point_3< K > &p2, const typename K::FT &w2)
template<class K >
K::Point_3	barycenter (const Point_3< K > &p1, const typename K::FT &w1, const Point_3< K > &p2, const typename K::FT &w2, const Point_3< K > &p3)
template<class K >
K::Point_3	barycenter (const Point_3< K > &p1, const typename K::FT &w1, const Point_3< K > &p2, const typename K::FT &w2, const Point_3< K > &p3, const typename K::FT &w3)
template<class K >
K::Point_3	barycenter (const Point_3< K > &p1, const typename K::FT &w1, const Point_3< K > &p2, const typename K::FT &w2, const Point_3< K > &p3, const typename K::FT &w3, const Point_3< K > &p4)
template<class K >
K::Point_3	barycenter (const Point_3< K > &p1, const typename K::FT &w1, const Point_3< K > &p2, const typename K::FT &w2, const Point_3< K > &p3, const typename K::FT &w3, const Point_3< K > &p4, const typename K::FT &w4)
template<typename K >
K::Plane_3	bisector (const Point_3< K > &p, const Point_3< K > &q)
template<typename K >
K::Plane_3	bisector (const Plane_3< K > &h1, const Plane_3< K > &h2)
template<class K >
Point_3< K >	centroid (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
Point_3< K >	centroid (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
Point_3< K >	centroid (const Tetrahedron_3< K > &t)
template<class K >
Point_3< K >	centroid (const Triangle_3< K > &t)
template<class K >
K::Point_3	circumcenter (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Point_3	circumcenter (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Point_3	circumcenter (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::Point_3	circumcenter (const Tetrahedron_3< K > &t)
template<class K >
K::Point_3	circumcenter (const Triangle_3< K > &t)
template<class K >
K::Boolean	collinear (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Boolean	collinear_are_ordered_along_line (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Boolean	collinear_are_strictly_ordered_along_line (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Comparison_result	compare_distance_to_point (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Comparison_result	compare_squared_distance (const Point_3< K > &p, const Point_3< K > &q, const typename K::FT &d2)
template<class K >
K::Comparison_result	compare_squared_radius (const Point_3< K > &p, const Point_3< K > &q, const typename K::FT &sr)
template<class K >
K::Comparison_result	compare_squared_radius (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const typename K::FT &sr)
template<class K >
K::Comparison_result	compare_squared_radius (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s, const typename K::FT &sr)
template<class K >
K::Comparison_result	compare_lexicographically_xyz (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Comparison_result	compare_signed_distance_to_plane (const Plane_3< K > &h, const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Comparison_result	compare_signed_distance_to_plane (const Point_3< K > &hp, const Point_3< K > &hq, const Point_3< K > &hr, const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Comparison_result	compare_x (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Comparison_result	compare_y (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Comparison_result	compare_z (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Comparison_result	compare_xyz (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	coplanar (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::Orientation	coplanar_orientation (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::Orientation	coplanar_orientation (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Bounded_side	coplanar_side_of_bounded_circle (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &t)
template<class K >
K::Vector_3	cross_product (const Vector_3< K > &v, const Vector_3< K > &w)
template<class K >
K::FT	determinant (const Vector_3< K > &v0, const Vector_3< K > &v1, const Vector_3< K > &v2)
template<class K >
K::Line_3	equidistant_line (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Boolean	has_larger_distance_to_point (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Boolean	has_larger_signed_distance_to_plane (const Point_3< K > &hp, const Point_3< K > &hq, const Point_3< K > &hr, const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	has_larger_signed_distance_to_plane (const Plane_3< K > &h, const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	has_smaller_distance_to_point (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Boolean	has_smaller_signed_distance_to_plane (const Point_3< K > &hp, const Point_3< K > &hq, const Point_3< K > &hr, const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	has_smaller_signed_distance_to_plane (const Plane_3< K > &h, const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	less_x (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	less_y (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	less_z (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	lexicographically_xyz_smaller (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	lexicographically_xyz_smaller_or_equal (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Point_3	midpoint (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Point_3	max_vertex (const Iso_cuboid_3< K > &ic)
template<class K >
K::Point_3	min_vertex (const Iso_cuboid_3< K > &ic)
template<class K >
K::Vector_3	normal (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Boolean	operator== (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	operator!= (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	operator== (const Point_3< K > &p, const Origin &o)
template<class K >
K::Boolean	operator!= (const Point_3< K > &p, const Origin &o)
template<class K >
K::Boolean	operator== (const Iso_cuboid_3< K > &p, const Iso_cuboid_3< K > &q)
template<class K >
K::Boolean	operator!= (const Iso_cuboid_3< K > &p, const Iso_cuboid_3< K > &q)
template<class K >
K::Boolean	operator== (const Plane_3< K > &p, const Plane_3< K > &q)
template<class K >
K::Boolean	operator!= (const Plane_3< K > &p, const Plane_3< K > &q)
template<class K >
K::Boolean	operator== (const Segment_3< K > &p, const Segment_3< K > &q)
template<class K >
K::Boolean	operator!= (const Segment_3< K > &p, const Segment_3< K > &q)
template<class K >
K::Boolean	operator== (const Line_3< K > &p, const Line_3< K > &q)
template<class K >
K::Boolean	operator!= (const Line_3< K > &p, const Line_3< K > &q)
template<class K >
K::Boolean	operator== (const Ray_3< K > &p, const Ray_3< K > &q)
template<class K >
K::Boolean	operator!= (const Ray_3< K > &p, const Ray_3< K > &q)
template<class K >
K::Boolean	operator== (const Triangle_3< K > &p, const Triangle_3< K > &q)
template<class K >
K::Boolean	operator!= (const Triangle_3< K > &p, const Triangle_3< K > &q)
template<class K >
K::Boolean	operator== (const Tetrahedron_3< K > &p, const Tetrahedron_3< K > &q)
template<class K >
K::Boolean	operator!= (const Tetrahedron_3< K > &p, const Tetrahedron_3< K > &q)
template<class K >
K::Boolean	operator== (const Direction_3< K > &p, const Direction_3< K > &q)
template<class K >
K::Boolean	operator!= (const Direction_3< K > &p, const Direction_3< K > &q)
template<class K >
K::Boolean	operator== (const Sphere_3< K > &p, const Sphere_3< K > &q)
template<class K >
K::Boolean	operator!= (const Sphere_3< K > &p, const Sphere_3< K > &q)
template<class K >
K::Boolean	operator== (const Vector_3< K > &p, const Vector_3< K > &q)
template<class K >
K::Boolean	operator!= (const Vector_3< K > &p, const Vector_3< K > &q)
template<class K >
K::Boolean	operator== (const Vector_3< K > &p, const Null_vector &o)
template<class K >
K::Boolean	operator!= (const Vector_3< K > &p, const Null_vector &o)
template<class K >
K::Boolean	operator< (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	operator> (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	operator<= (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	operator>= (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Vector_3	operator* (const typename K::FT &c, const Vector_3< K > &w)
template<class K >
K::Vector_3	operator* (const Vector_3< K > &w, const typename K::FT &c)
template<class K >
K::Vector_3	operator* (const typename First_if_different< typename K::RT, typename K::FT >::Type &c, const Vector_3< K > &w)
template<class K >
K::Vector_3	operator* (const Vector_3< K > &w, const typename First_if_different< typename K::RT, typename K::FT >::Type &c)
template<class K >
K::FT	operator* (const Vector_3< K > &v, const Vector_3< K > &w)
template<class K >
K::Point_3	operator+ (const Point_3< K > &p, const Vector_3< K > &v)
template<class K >
K::Point_3	operator+ (const Origin &o, const Vector_3< K > &v)
template<class K >
K::Point_3	operator- (const Point_3< K > &p, const Vector_3< K > &v)
template<class K >
K::Point_3	operator- (const Origin &o, const Vector_3< K > &v)
template<class K >
K::Vector_3	operator- (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Vector_3	operator- (const Point_3< K > &p, const Origin &o)
template<class K >
K::Vector_3	operator- (const Origin &o, const Point_3< K > &q)
template<class K >
K::Orientation	orientation (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::Orientation	orientation (const Vector_3< K > &u, const Vector_3< K > &v, const Vector_3< K > &w)
template<class K >
K::Vector_3	orthogonal_vector (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::Vector_3	orthogonal_vector (const Plane_3< K > &p)
template<class K >
K::Plane_3	radical_plane (const Sphere_3< K > &s1, const Sphere_3< K > &s2)
template<class K >
K::Bounded_side	side_of_bounded_sphere (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &test)
template<class K >
K::Bounded_side	side_of_bounded_sphere (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &test)
template<class K >
K::Bounded_side	side_of_bounded_sphere (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s, const Point_3< K > &test)
template<class K >
K::Oriented_side	side_of_oriented_sphere (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s, const Point_3< K > &test)
template<typename K >
K::FT	squared_area (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::FT	squared_radius (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::FT	squared_radius (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::FT	squared_radius (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::FT	squared_radius (const Point_3< K > &p)
template<class K >
K::Vector_3	unit_normal (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r)
template<class K >
K::FT	volume (const Point_3< K > &p, const Point_3< K > &q, const Point_3< K > &r, const Point_3< K > &s)
template<class K >
K::Boolean	x_equal (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	y_equal (const Point_3< K > &p, const Point_3< K > &q)
template<class K >
K::Boolean	z_equal (const Point_3< K > &p, const Point_3< K > &q)

---

Function Documentation

template<typename K >

CGAL_BEGIN_NAMESPACE Angle angle	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<typename K >

K::Boolean are_negative_oriented	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::Boolean are_ordered_along_line	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<typename K >

K::Boolean are_positive_oriented	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::Boolean are_strictly_ordered_along_line	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Point_3 barycenter	(	const Point_3< K > &	p1,
		const typename K::FT &	w1,
		const Point_3< K > &	p2
	)		[inline]

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template<class K >

K::Point_3 barycenter	(	const Point_3< K > &	p1,
		const typename K::FT &	w1,
		const Point_3< K > &	p2,
		const typename K::FT &	w2
	)		[inline]

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template<class K >

K::Point_3 barycenter	(	const Point_3< K > &	p1,
		const typename K::FT &	w1,
		const Point_3< K > &	p2,
		const typename K::FT &	w2,
		const Point_3< K > &	p3
	)		[inline]

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template<class K >

K::Point_3 barycenter	(	const Point_3< K > &	p1,
		const typename K::FT &	w1,
		const Point_3< K > &	p2,
		const typename K::FT &	w2,
		const Point_3< K > &	p3,
		const typename K::FT &	w3
	)		[inline]

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template<class K >

K::Point_3 barycenter	(	const Point_3< K > &	p1,
		const typename K::FT &	w1,
		const Point_3< K > &	p2,
		const typename K::FT &	w2,
		const Point_3< K > &	p3,
		const typename K::FT &	w3,
		const Point_3< K > &	p4
	)		[inline]

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template<class K >

K::Point_3 barycenter	(	const Point_3< K > &	p1,
		const typename K::FT &	w1,
		const Point_3< K > &	p2,
		const typename K::FT &	w2,
		const Point_3< K > &	p3,
		const typename K::FT &	w3,
		const Point_3< K > &	p4,
		const typename K::FT &	w4
	)		[inline]

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template<typename K >

K::Plane_3 bisector	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<typename K >

K::Plane_3 bisector	(	const Plane_3< K > &	h1,
		const Plane_3< K > &	h2
	)		[inline]

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template<class K >

Point_3<K> centroid	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

Point_3<K> centroid	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

Point_3<K> centroid

(

const Tetrahedron_3< K > &

t

)

[inline]

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template<class K >

Point_3<K> centroid

(

const Triangle_3< K > &

t

)

[inline]

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template<class K >

K::Point_3 circumcenter	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Point_3 circumcenter	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Point_3 circumcenter	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::Point_3 circumcenter

(

const Tetrahedron_3< K > &

t

)

[inline]

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template<class K >

K::Point_3 circumcenter

(

const Triangle_3< K > &

t

)

[inline]

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template<class K >

K::Boolean collinear	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Boolean collinear_are_ordered_along_line	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Boolean collinear_are_strictly_ordered_along_line	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Comparison_result compare_distance_to_point	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Comparison_result compare_lexicographically_xyz	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Comparison_result compare_signed_distance_to_plane	(	const Plane_3< K > &	h,
		const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Comparison_result compare_signed_distance_to_plane	(	const Point_3< K > &	hp,
		const Point_3< K > &	hq,
		const Point_3< K > &	hr,
		const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Comparison_result compare_squared_distance	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const typename K::FT &	d2
	)		[inline]

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template<class K >

K::Comparison_result compare_squared_radius	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const typename K::FT &	sr
	)		[inline]

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template<class K >

K::Comparison_result compare_squared_radius	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const typename K::FT &	sr
	)		[inline]

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template<class K >

K::Comparison_result compare_squared_radius	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s,
		const typename K::FT &	sr
	)		[inline]

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template<class K >

K::Comparison_result compare_x	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Comparison_result compare_xyz	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Comparison_result compare_y	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Comparison_result compare_z	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean coplanar	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::Orientation coplanar_orientation	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::Orientation coplanar_orientation	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Bounded_side coplanar_side_of_bounded_circle	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	t
	)		[inline]

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template<class K >

K::Vector_3 cross_product	(	const Vector_3< K > &	v,
		const Vector_3< K > &	w
	)		[inline]

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template<class K >

K::FT determinant	(	const Vector_3< K > &	v0,
		const Vector_3< K > &	v1,
		const Vector_3< K > &	v2
	)		[inline]

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template<class K >

K::Line_3 equidistant_line	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Boolean has_larger_distance_to_point	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Boolean has_larger_signed_distance_to_plane	(	const Point_3< K > &	hp,
		const Point_3< K > &	hq,
		const Point_3< K > &	hr,
		const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean has_larger_signed_distance_to_plane	(	const Plane_3< K > &	h,
		const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean has_smaller_distance_to_point	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Boolean has_smaller_signed_distance_to_plane	(	const Point_3< K > &	hp,
		const Point_3< K > &	hq,
		const Point_3< K > &	hr,
		const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean has_smaller_signed_distance_to_plane	(	const Plane_3< K > &	h,
		const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean less_x	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean less_y	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean less_z	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean lexicographically_xyz_smaller	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean lexicographically_xyz_smaller_or_equal	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Point_3 max_vertex

(

const Iso_cuboid_3< K > &

ic

)

[inline]

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template<class K >

K::Point_3 midpoint	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Point_3 min_vertex

(

const Iso_cuboid_3< K > &

ic

)

[inline]

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template<class K >

K::Vector_3 normal	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Boolean operator!=	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Point_3< K > &	p,
		const Origin &	o
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Iso_cuboid_3< K > &	p,
		const Iso_cuboid_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Plane_3< K > &	p,
		const Plane_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Segment_3< K > &	p,
		const Segment_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Line_3< K > &	p,
		const Line_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Ray_3< K > &	p,
		const Ray_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Triangle_3< K > &	p,
		const Triangle_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Tetrahedron_3< K > &	p,
		const Tetrahedron_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Direction_3< K > &	p,
		const Direction_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Sphere_3< K > &	p,
		const Sphere_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Vector_3< K > &	p,
		const Vector_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator!=	(	const Vector_3< K > &	p,
		const Null_vector &	o
	)		[inline]

template<class K >

K::Vector_3 operator*	(	const typename K::FT &	c,
		const Vector_3< K > &	w
	)		[inline]

template<class K >

K::Vector_3 operator*	(	const Vector_3< K > &	w,
		const typename K::FT &	c
	)		[inline]

template<class K >

K::Vector_3 operator*	(	const typename First_if_different< typename K::RT, typename K::FT >::Type &	c,
		const Vector_3< K > &	w
	)		[inline]

template<class K >

K::Vector_3 operator*	(	const Vector_3< K > &	w,
		const typename First_if_different< typename K::RT, typename K::FT >::Type &	c
	)		[inline]

template<class K >

K::FT operator*	(	const Vector_3< K > &	v,
		const Vector_3< K > &	w
	)		[inline]

template<class K >

K::Point_3 operator+	(	const Point_3< K > &	p,
		const Vector_3< K > &	v
	)		[inline]

template<class K >

K::Point_3 operator+	(	const Origin &	o,
		const Vector_3< K > &	v
	)		[inline]

template<class K >

K::Point_3 operator-	(	const Point_3< K > &	p,
		const Vector_3< K > &	v
	)		[inline]

template<class K >

K::Point_3 operator-	(	const Origin &	o,
		const Vector_3< K > &	v
	)		[inline]

template<class K >

K::Vector_3 operator-	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Vector_3 operator-	(	const Point_3< K > &	p,
		const Origin &	o
	)		[inline]

template<class K >

K::Vector_3 operator-	(	const Origin &	o,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator<	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator<=	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Point_3< K > &	p,
		const Origin &	o
	)		[inline]

template<class K >

K::Boolean operator==	(	const Iso_cuboid_3< K > &	p,
		const Iso_cuboid_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Plane_3< K > &	p,
		const Plane_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Segment_3< K > &	p,
		const Segment_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Line_3< K > &	p,
		const Line_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Ray_3< K > &	p,
		const Ray_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Triangle_3< K > &	p,
		const Triangle_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Tetrahedron_3< K > &	p,
		const Tetrahedron_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Direction_3< K > &	p,
		const Direction_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Sphere_3< K > &	p,
		const Sphere_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Vector_3< K > &	p,
		const Vector_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator==	(	const Vector_3< K > &	p,
		const Null_vector &	o
	)		[inline]

template<class K >

K::Boolean operator>	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Boolean operator>=	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

template<class K >

K::Orientation orientation	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::Orientation orientation	(	const Vector_3< K > &	u,
		const Vector_3< K > &	v,
		const Vector_3< K > &	w
	)		[inline]

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template<class K >

K::Vector_3 orthogonal_vector	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::Vector_3 orthogonal_vector

(

const Plane_3< K > &

p

)

[inline]

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template<class K >

K::Plane_3 radical_plane	(	const Sphere_3< K > &	s1,
		const Sphere_3< K > &	s2
	)		[inline]

template<class K >

K::Bounded_side side_of_bounded_sphere	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	test
	)		[inline]

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template<class K >

K::Bounded_side side_of_bounded_sphere	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	test
	)		[inline]

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template<class K >

K::Bounded_side side_of_bounded_sphere	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s,
		const Point_3< K > &	test
	)		[inline]

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template<class K >

K::Oriented_side side_of_oriented_sphere	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s,
		const Point_3< K > &	test
	)		[inline]

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template<typename K >

K::FT squared_area	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::FT squared_radius	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::FT squared_radius	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::FT squared_radius	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::FT squared_radius

(

const Point_3< K > &

p

)

[inline]

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template<class K >

K::Vector_3 unit_normal	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r
	)		[inline]

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template<class K >

K::FT volume	(	const Point_3< K > &	p,
		const Point_3< K > &	q,
		const Point_3< K > &	r,
		const Point_3< K > &	s
	)		[inline]

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template<class K >

K::Boolean x_equal	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean y_equal	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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template<class K >

K::Boolean z_equal	(	const Point_3< K > &	p,
		const Point_3< K > &	q
	)		[inline]

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