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cgal/Old_Packages/Kernel_basic/include/CGAL/Kernel/function_objects.h

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// ======================================================================
//
// Copyright (c) 1999,2002 The CGAL Consortium
//
// This software and related documentation is part of an INTERNAL release
// of the Computational Geometry Algorithms Library (CGAL). It is not
// intended for general use.
//
// ----------------------------------------------------------------------
// release :
// release_date :
//
// file : include/CGAL/Kernel/function_objects.h
// revision : $Revision$
// revision_date : $Date$
// author(s) : Stefan Schirra, Sylvain Pion
//
// coordinator : MPI, Saarbruecken
// ======================================================================
#ifndef CGAL_KERNEL_FUNCTION_OBJECTS_H
#define CGAL_KERNEL_FUNCTION_OBJECTS_H
#include <CGAL/functional_base.h>
#include <CGAL/Quotient.h>
#include <CGAL/Origin.h>
CGAL_BEGIN_NAMESPACE
namespace CGALi {
template <typename K>
class Angle_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Angle result_type;
typedef Arity_tag< 3 > Arity;
Angle
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return angle(p, q, r); }
};
template <typename K>
class Angle_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Angle result_type;
typedef Arity_tag< 3 > Arity;
Angle
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return angle(p, q, r); }
};
template <typename K>
class Are_ordered_along_line_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return are_ordered_along_line(p,q,r); }
};
template <typename K>
class Are_ordered_along_line_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return are_ordered_along_line(p,q,r); }
};
template <typename K>
class Are_strictly_ordered_along_line_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return are_strictly_ordered_along_line(p,q,r); }
};
template <typename K>
class Are_strictly_ordered_along_line_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return are_strictly_ordered_along_line(p, q, r); }
};
template <typename K>
class Assign_2
{
typedef typename K::Object_2 Object_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
template <class T>
bool
operator()(T& t, const Object_2& o) const
{ return assign(t, o); }
};
template <typename K>
class Assign_3
{
typedef typename K::Object_3 Object_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
template <class T>
bool
operator()(T& t, const Object_3& o) const
{ return assign(t, o); }
};
template <typename K>
class Bounded_side_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Circle_2 Circle_2;
typedef typename K::Triangle_2 Triangle_2;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
public:
typedef Bounded_side result_type;
typedef Arity_tag< 2 > Arity;
Bounded_side
operator()( const Circle_2& c, const Point_2& p) const
{ return c.bounded_side(p); }
Bounded_side
operator()( const Triangle_2& t, const Point_2& p) const
{ return t.bounded_side(p); }
Bounded_side
operator()( const Iso_rectangle_2& r, const Point_2& p) const
{ return r.bounded_side(p); }
};
template <typename K>
class Bounded_side_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Sphere_3 Sphere_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
public:
typedef Bounded_side result_type;
typedef Arity_tag< 2 > Arity;
Bounded_side
operator()( const Sphere_3& s, const Point_3& p) const
{ return s.bounded_side(p); }
Bounded_side
operator()( const Tetrahedron_3& t, const Point_3& p) const
{ return t.bounded_side(p); }
Bounded_side
operator()( const Iso_cuboid_3& c, const Point_3& p) const
{ return c.bounded_side(p); }
};
template <typename K>
class Collinear_are_ordered_along_line_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return collinear_are_ordered_along_line(p, q, r); }
};
template <typename K>
class Collinear_are_ordered_along_line_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return collinear_are_ordered_along_line(p, q, r); }
};
template <typename K>
class Collinear_are_strictly_ordered_along_line_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return collinear_are_strictly_ordered_along_line(p, q, r); }
};
template <typename K>
class Collinear_are_strictly_ordered_along_line_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return collinear_are_strictly_ordered_along_line(p, q, r); }
};
template <typename K>
class Collinear_has_on_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Ray_2 Ray_2;
typedef typename K::Segment_2 Segment_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Ray_2& r, const Point_2& p) const
{ return r.collinear_has_on(p); }
bool
operator()( const Segment_2& s, const Point_2& p) const
{ return s.collinear_has_on(p); }
};
template <typename K>
class Collinear_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return collinear(p, q, r); }
};
template <typename K>
class Collinear_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return collinear(p, q, r); }
};
template <typename K>
class Compare_angle_with_x_axis_2
{
typedef typename K::Direction_2 Direction_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()(const Direction_2& p, const Direction_2& q) const
{ return compare_angle_with_x_axis(p, q); }
};
template <typename K>
class Compare_distance_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 3 > Arity;
Comparison_result
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return compare_distance_to_point(p, q, r); }
};
template <typename K>
class Compare_distance_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 3 > Arity;
Comparison_result
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return compare_distance_to_point(p, q, r); }
};
template <typename K>
class Compare_slope_2
{
typedef typename K::Line_2 Line_2;
typedef typename K::Segment_2 Segment_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()(const Line_2& l1, const Line_2& l2) const
{ return compare_slopes(l1, l2); }
Comparison_result
operator()(const Segment_2& s1, const Segment_2& s2) const
{ return compare_slopes(s1, s2); }
};
template <typename K>
class Compare_x_at_y_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 3 > Arity;
Comparison_result
operator()( const Point_2& p, const Line_2& h) const
{ return compare_x_at_y(p, h); }
Comparison_result
operator()( const Point_2& p, const Line_2& h1, const Line_2& h2) const
{ return compare_x_at_y(p, h1, h2); }
Comparison_result
operator()( const Line_2& l1, const Line_2& l2, const Line_2& h) const
{ return compare_x_at_y(l1, l2, h); }
Comparison_result
operator()( const Line_2& l1, const Line_2& l2,
const Line_2& h1, const Line_2& h2) const
{ return compare_x_at_y(l1, l2, h1, h2); }
};
template <typename K>
class Compare_xyz_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_3& p, const Point_3& q) const
{ return compare_xyz(p, q); }
};
template <typename K>
class Compare_xy_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_2& p, const Point_2& q) const
{ return compare_xy(p, q); }
};
template <typename K>
class Compare_xy_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_3& p, const Point_3& q) const
{ return compare_xy(p, q); }
};
template <typename K>
class Compare_x_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_2& p, const Point_2& q) const
{ return compare_x(p, q); }
Comparison_result
operator()( const Point_2& p, const Line_2& l1, const Line_2& l2) const
{ return compare_x(p, l1, l2); }
Comparison_result
operator()( const Line_2& l, const Line_2& h1, const Line_2& h2) const
{ return compare_x(l, h1, h2); }
Comparison_result
operator()( const Line_2& l1, const Line_2& l2,
const Line_2& h1, const Line_2& h2) const
{ return compare_x(l1, l2, h1, h2); }
};
template <typename K>
class Compare_x_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_3& p, const Point_3& q) const
{ return compare_x(p, q); }
};
template <typename K>
class Compare_y_at_x_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Segment_2 Segment_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 3 > Arity;
Comparison_result
operator()( const Point_2& p, const Line_2& h) const
{ return compare_y_at_x(p, h); }
Comparison_result
operator()( const Point_2& p, const Line_2& h1, const Line_2& h2) const
{ return compare_y_at_x(p, h1, h2); }
Comparison_result
operator()( const Line_2& l1, const Line_2& l2, const Line_2& h) const
{ return compare_y_at_x(l1, l2, h); }
Comparison_result
operator()( const Line_2& l1, const Line_2& l2,
const Line_2& h1, const Line_2& h2) const
{ return compare_y_at_x(l1, l2, h1, h2); }
Comparison_result
operator()( const Point_2& p, const Segment_2& s) const
{ return compare_y_at_x(p, s); }
Comparison_result
operator()( const Point_2& p,
const Segment_2& s1, const Segment_2& s2) const
{ return compare_y_at_x(p, s1, s2); }
};
template <typename K>
class Compare_y_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_2& p, const Point_2& q) const
{ return compare_y(p, q); }
Comparison_result
operator()( const Point_2& p, const Line_2& l1, const Line_2& l2) const
{ return compare_y(p, l1, l2); }
Comparison_result
operator()( const Line_2& l, const Line_2& h1, const Line_2& h2) const
{ return compare_y(l, h1, h2); }
Comparison_result
operator()( const Line_2& l1, const Line_2& l2,
const Line_2& h1, const Line_2& h2) const
{ return compare_y(l1, l2, h1, h2); }
};
template <typename K>
class Compare_y_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_3& p, const Point_3& q) const
{ return compare_y(p, q); }
};
template <typename K>
class Compare_z_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Comparison_result result_type;
typedef Arity_tag< 2 > Arity;
Comparison_result
operator()( const Point_3& p, const Point_3& q) const
{ return compare_z(p, q); }
};
template <typename K>
class Compute_area_2
{
typedef typename K::FT FT;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef FT result_type;
typedef Arity_tag< 1 > Arity;
FT
operator()( const Iso_rectangle_2& r ) const
{ return r.area(); }
FT
operator()( const Triangle_2& t ) const
{ return t.area(); }
};
template <typename K>
class Compute_squared_area_3
{
typedef typename K::FT FT;
typedef typename K::Triangle_3 Triangle_3;
public:
typedef FT result_type;
typedef Arity_tag< 1 > Arity;
FT
operator()( const Triangle_3& t ) const
{ return t.squared_area(); }
};
template <typename K>
class Compute_squared_distance_2
{
typedef typename K::FT FT;
public:
typedef FT result_type;
typedef Arity_tag< 2 > Arity;
// There are 25 combinaisons, we use a template.
template <class T1, class T2>
FT
operator()( const T1& t1, const T2& t2) const
{ return squared_distance(t1, t2); }
};
template <typename K>
class Compute_squared_distance_3
{
typedef typename K::FT FT;
public:
typedef FT result_type;
typedef Arity_tag< 2 > Arity;
// There are 25 combinaisons, we use a template.
template <class T1, class T2>
FT
operator()( const T1& t1, const T2& t2) const
{ return squared_distance(t1, t2); }
};
template <typename K>
class Compute_squared_length_2
{
typedef typename K::FT FT;
typedef typename K::Segment_2 Segment_2;
public:
typedef FT result_type;
typedef Arity_tag< 1 > Arity;
FT
operator()( const Segment_2& s) const
{ return s.squared_length(); }
};
template <typename K>
class Compute_squared_length_3
{
typedef typename K::FT FT;
typedef typename K::Segment_3 Segment_3;
public:
typedef FT result_type;
typedef Arity_tag< 1 > Arity;
FT
operator()( const Segment_3& s) const
{ return s.squared_length(); }
};
template <typename K>
class Compute_squared_radius_2
{
typedef typename K::FT FT;
typedef typename K::Point_2 Point_2;
typedef typename K::Circle_2 Circle_2;
public:
typedef FT result_type;
typedef Arity_tag< 1 > Arity;
FT
operator()( const Circle_2& c) const
{ return c.squared_radius(); }
FT
operator()( const Point_2& p, const Point_2& q, const Point_2& r) const
{ return squared_radius(p, q, r); }
};
template <typename K>
class Compute_squared_radius_3
{
typedef typename K::FT FT;
typedef typename K::Point_3 Point_3;
typedef typename K::Sphere_3 Sphere_3;
public:
typedef FT result_type;
typedef Arity_tag< 1 > Arity;
FT
operator()( const Sphere_3& s) const
{ return s.squared_radius(); }
FT
operator()( const Point_3& p, const Point_3& q, const Point_3& r) const
{ return squared_radius(p, q, r); }
FT
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& s) const
{ return squared_radius(p, q, r, s); }
};
template <typename K>
class Compute_volume_3
{
typedef typename K::FT FT;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
public:
typedef FT result_type;
typedef Arity_tag< 1 > Arity;
FT
operator()( const Tetrahedron_3& t ) const
{ return t.volume(); }
FT
operator()( const Iso_cuboid_3& c ) const
{ return c.volume(); }
};
template <typename K>
class Construct_base_vector_3
{
typedef typename K::Vector_3 Vector_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Vector_3 result_type;
typedef Arity_tag< 2 > Arity;
Vector_3
operator()( const Plane_3& h, int index ) const
{
if (index == 1)
return h.base1();
else
return h.base2();
}
};
template <typename K>
class Construct_bisector_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
public:
typedef Line_2 result_type;
typedef Arity_tag< 2 > Arity;
Line_2
operator()(const Point_2& p, const Point_2& q) const
{ return bisector(p,q); }
};
template <typename K>
class Construct_center_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Circle_2 Circle_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 1 > Arity;
Point_2
operator()(const Circle_2& c) const
{ return c.center(); }
};
template <typename K>
class Construct_center_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Sphere_3 Sphere_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 1 > Arity;
Point_3
operator()(const Sphere_3& s) const
{ return s.center(); }
};
template <typename K>
class Construct_centroid_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 3 > Arity;
Point_2
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return centroid(p, q, r); }
Point_2
operator()(const Point_2& p, const Point_2& q,
const Point_2& r, const Point_2& s) const
{ return centroid(p, q, r, s); }
};
template <typename K>
class Construct_centroid_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 3 > Arity;
Point_3
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return centroid(p, q, r); }
Point_3
operator()(const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& s) const
{ return centroid(p, q, r, s); }
};
template <typename K>
class Construct_circle_2
{
typedef typename K::FT FT;
typedef typename K::Point_2 Point_2;
typedef typename K::Circle_2 Circle_2;
public:
typedef Circle_2 result_type;
typedef Arity_tag< 3 > Arity;
Circle_2
operator()() const
{ return Circle_2(); }
Circle_2
operator()( const Point_2& center, const FT& squared_radius,
Orientation orientation = COUNTERCLOCKWISE) const
{ return Circle_2(center, squared_radius, orientation); }
Circle_2
operator()( const Point_2& p, const Point_2& q, const Point_2& r) const
{ return Circle_2(p, q, r); }
Circle_2
operator()( const Point_2& p, const Point_2& q,
Orientation orientation = COUNTERCLOCKWISE) const
{ return Circle_2(p, q, orientation); }
Circle_2
operator()( const Point_2& center,
Orientation orientation = COUNTERCLOCKWISE) const
{ return Circle_2(center, orientation); }
};
template <typename K>
class Construct_circumcenter_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 3 > Arity;
Point_2
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return circumcenter(p, q, r); }
};
template <typename K>
class Construct_circumcenter_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 4 > Arity;
Point_3
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return circumcenter(p, q, r); }
Point_3
operator()(const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& s) const
{ return circumcenter(p, q, r, s); }
};
template <typename K>
class Construct_cross_product_vector_3
{
typedef typename K::Vector_3 Vector_3;
public:
typedef Vector_3 result_type;
typedef Arity_tag< 2 > Arity;
Vector_3
operator()(const Vector_3& v, const Vector_3& w) const
{ return cross_product(v, w); }
};
template <typename K>
class Construct_direction_2
{
typedef typename K::Direction_2 Direction_2;
typedef typename K::Vector_2 Vector_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Ray_2 Ray_2;
typedef typename K::Segment_2 Segment_2;
typedef typename K::RT RT;
public:
typedef Direction_2 result_type;
typedef Arity_tag< 1 > Arity;
Direction_2
operator()() const
{ return Direction_2(); }
#ifndef CGAL_NO_DEPRECATED_CODE
Direction_2
operator()(const RT& x, const RT& y) const
{ return Direction_2(x, y); }
#endif // CGAL_NO_DEPRECATED_CODE
Direction_2
operator()(const Vector_2& v) const
{ return Direction_2(v); }
Direction_2
operator()(const Line_2& l) const
{ return Direction_2(l); }
Direction_2
operator()(const Ray_2& r) const
{ return Direction_2(r); }
Direction_2
operator()(const Segment_2& s) const
{ return Direction_2(s); }
};
template <typename K>
class Construct_direction_3
{
typedef typename K::Direction_3 Direction_3;
typedef typename K::Vector_3 Vector_3;
typedef typename K::Line_3 Line_3;
typedef typename K::Ray_3 Ray_3;
typedef typename K::Segment_3 Segment_3;
typedef typename K::RT RT;
public:
typedef Direction_3 result_type;
typedef Arity_tag< 1 > Arity;
Direction_3
operator()() const
{ return Direction_3(); }
#ifndef CGAL_NO_DEPRECATED_CODE
Direction_3
operator()(const RT& x, const RT& y, const RT& z) const
{ return Direction_3(x, y, z); }
#endif // CGAL_NO_DEPRECATED_CODE
Direction_3
operator()(const Vector_3& v) const
{ return Direction_3(v); }
Direction_3
operator()(const Line_3& l) const
{ return Direction_3(l); }
Direction_3
operator()(const Ray_3& r) const
{ return Direction_3(r); }
Direction_3
operator()(const Segment_3& s) const
{ return Direction_3(s); }
};
template <typename K>
class Construct_iso_cuboid_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
public:
typedef Iso_cuboid_3 result_type;
typedef Arity_tag< 2 > Arity;
Iso_cuboid_3
operator()() const
{ return Iso_cuboid_3(); }
Iso_cuboid_3
operator()(const Point_3& p, const Point_3& q) const
{ return Iso_cuboid_3(p, q); }
};
template <typename K>
class Construct_iso_rectangle_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
public:
typedef Iso_rectangle_2 result_type;
typedef Arity_tag< 2 > Arity;
Iso_rectangle_2
operator()() const
{ return Iso_rectangle_2(); }
Iso_rectangle_2
operator()(const Point_2& p, const Point_2& q) const
{ return Iso_rectangle_2(p, q); }
};
template <typename K>
class Construct_lifted_point_3
{
typedef typename K::Point_2 Point_2;
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 2 > Arity;
Point_3
operator()(const Plane_3& h, const Point_2& p) const
{ return h.to_3d(p); }
};
template <typename K>
class Construct_line_2
{
typedef typename K::RT RT;
typedef typename K::Point_2 Point_2;
typedef typename K::Direction_2 Direction_2;
typedef typename K::Segment_2 Segment_2;
typedef typename K::Ray_2 Ray_2;
typedef typename K::Line_2 Line_2;
public:
typedef Line_2 result_type;
typedef Arity_tag< 2 > Arity;
Line_2
operator()() const
{ return Line_2(); }
#ifndef CGAL_NO_DEPRECATED_CODE
Line_2
operator()(const RT& a, const RT& b, const RT& c) const
{ return Line_2(a, b, c); }
#endif // CGAL_NO_DEPRECATED_CODE
Line_2
operator()(const Point_2& p, const Point_2& q) const
{ return Line_2(p, q); }
Line_2
operator()(const Point_2& p, const Direction_2& d) const
{ return Line_2(p, d); }
Line_2
operator()(const Segment_2& s) const
{ return Line_2(s); }
Line_2
operator()(const Ray_2& r) const
{ return Line_2(r); }
};
template <typename K>
class Construct_line_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Direction_3 Direction_3;
typedef typename K::Segment_3 Segment_3;
typedef typename K::Ray_3 Ray_3;
typedef typename K::Line_3 Line_3;
public:
typedef Line_3 result_type;
typedef Arity_tag< 2 > Arity;
Line_3
operator()() const
{ return Line_3(); }
Line_3
operator()(const Point_3& p, const Point_3& q) const
{ return Line_3(p, q); }
Line_3
operator()(const Point_3& p, const Direction_3& d) const
{ return Line_3(p, d); }
Line_3
operator()(const Segment_3& s) const
{ return Line_3(s); }
Line_3
operator()(const Ray_3& r) const
{ return Line_3(r); }
};
template <typename K>
class Construct_midpoint_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 2 > Arity;
Point_2
operator()(const Point_2& p, const Point_2& q) const
{ return midpoint(p, q); }
};
template <typename K>
class Construct_midpoint_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 2 > Arity;
Point_3
operator()(const Point_3& p, const Point_3& q) const
{ return midpoint(p, q); }
};
template <typename K>
class Construct_object_2
{
typedef typename K::Object_2 Object_2;
public:
typedef Object_2 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Object_2
operator()( const Cls& c) const
{ return make_object(c); }
};
template <typename K>
class Construct_object_3
{
typedef typename K::Object_3 Object_3;
public:
typedef Object_3 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Object_3
operator()( const Cls& c) const
{ return make_object(c); }
};
template <typename K>
class Construct_opposite_circle_2
{
typedef typename K::Circle_2 Circle_2;
public:
typedef Circle_2 result_type;
typedef Arity_tag< 1 > Arity;
Circle_2
operator()( const Circle_2& c) const
{ return c.opposite(); }
};
template <typename K>
class Construct_opposite_direction_2
{
typedef typename K::Direction_2 Direction_2;
public:
typedef Direction_2 result_type;
typedef Arity_tag< 1 > Arity;
Direction_2
operator()( const Direction_2& d) const
{ return -d; }
};
template <typename K>
class Construct_opposite_direction_3
{
typedef typename K::Direction_3 Direction_3;
public:
typedef Direction_3 result_type;
typedef Arity_tag< 1 > Arity;
Direction_3
operator()( const Direction_3& d) const
{ return -d; }
};
template <typename K>
class Construct_opposite_line_2
{
typedef typename K::Line_2 Line_2;
public:
typedef Line_2 result_type;
typedef Arity_tag< 1 > Arity;
Line_2
operator()( const Line_2& l) const
{ return l.opposite(); }
};
template <typename K>
class Construct_opposite_line_3
{
typedef typename K::Line_3 Line_3;
public:
typedef Line_3 result_type;
typedef Arity_tag< 1 > Arity;
Line_3
operator()( const Line_3& l) const
{ return l.opposite(); }
};
template <typename K>
class Construct_opposite_plane_3
{
typedef typename K::Plane_3 Plane_3;
public:
typedef Plane_3 result_type;
typedef Arity_tag< 1 > Arity;
Plane_3
operator()( const Plane_3& p) const
{ return p.opposite(); }
};
template <typename K>
class Construct_opposite_ray_2
{
typedef typename K::Ray_2 Ray_2;
public:
typedef Ray_2 result_type;
typedef Arity_tag< 1 > Arity;
Ray_2
operator()( const Ray_2& r) const
{ return r.opposite(); }
};
template <typename K>
class Construct_opposite_ray_3
{
typedef typename K::Ray_3 Ray_3;
public:
typedef Ray_3 result_type;
typedef Arity_tag< 1 > Arity;
Ray_3
operator()( const Ray_3& r) const
{ return r.opposite(); }
};
template <typename K>
class Construct_opposite_segment_2
{
typedef typename K::Segment_2 Segment_2;
public:
typedef Segment_2 result_type;
typedef Arity_tag< 1 > Arity;
Segment_2
operator()( const Segment_2& s) const
{ return s.opposite(); }
};
template <typename K>
class Construct_opposite_segment_3
{
typedef typename K::Segment_3 Segment_3;
public:
typedef Segment_3 result_type;
typedef Arity_tag< 1 > Arity;
Segment_3
operator()( const Segment_3& s) const
{ return s.opposite(); }
};
template <typename K>
class Construct_opposite_sphere_3
{
typedef typename K::Sphere_3 Sphere_3;
public:
typedef Sphere_3 result_type;
typedef Arity_tag< 1 > Arity;
Sphere_3
operator()( const Sphere_3& s) const
{ return s.opposite(); }
};
template <typename K>
class Construct_opposite_triangle_2
{
typedef typename K::Triangle_2 Triangle_2;
public:
typedef Triangle_2 result_type;
typedef Arity_tag< 1 > Arity;
Triangle_2
operator()( const Triangle_2& t) const
{ return t.opposite(); }
};
template <typename K>
class Construct_opposite_vector_2
{
typedef typename K::Vector_2 Vector_2;
public:
typedef Vector_2 result_type;
typedef Arity_tag< 1 > Arity;
Vector_2
operator()( const Vector_2& v) const
{ return -v; }
};
template <typename K>
class Construct_opposite_vector_3
{
typedef typename K::Vector_3 Vector_3;
public:
typedef Vector_3 result_type;
typedef Arity_tag< 1 > Arity;
Vector_3
operator()( const Vector_3& v) const
{ return -v; }
};
template <typename K>
class Construct_orthogonal_vector_3
{
typedef typename K::Vector_3 Vector_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Vector_3 result_type;
typedef Arity_tag< 1 > Arity;
Vector_3
operator()( const Plane_3& p ) const
{ return p.orthogonal_vector(); }
};
template <typename K>
class Construct_perpendicular_direction_2
{
typedef typename K::Direction_2 Direction_2;
public:
typedef Direction_2 result_type;
typedef Arity_tag< 2 > Arity;
Direction_2
operator()( const Direction_2& d, Orientation o) const
{ return d.perpendicular(o); }
};
template <typename K>
class Construct_perpendicular_line_2
{
typedef typename K::Line_2 Line_2;
typedef typename K::Point_2 Point_2;
public:
typedef Line_2 result_type;
typedef Arity_tag< 2 > Arity;
Line_2
operator()( const Line_2& l, const Point_2& p) const
{ return l.perpendicular(p); }
};
template <typename K>
class Construct_perpendicular_line_3
{
typedef typename K::Line_3 Line_3;
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Line_3 result_type;
typedef Arity_tag< 2 > Arity;
Line_3
operator()( const Plane_3& pl, const Point_3& p) const
{ return pl.perpendicular_line(p); }
};
template <typename K>
class Construct_perpendicular_plane_3
{
typedef typename K::Line_3 Line_3;
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Plane_3 result_type;
typedef Arity_tag< 2 > Arity;
Plane_3
operator()( const Line_3& l, const Point_3& p) const
{ return l.perpendicular_plane(p); }
};
template <typename K>
class Construct_perpendicular_vector_2
{
typedef typename K::Vector_2 Vector_2;
public:
typedef Vector_2 result_type;
typedef Arity_tag< 2 > Arity;
Vector_2
operator()( const Vector_2& v, Orientation o) const
{ return v.perpendicular(o); }
};
template <typename K>
class Construct_plane_3
{
typedef typename K::RT RT;
typedef typename K::Point_3 Point_3;
typedef typename K::Direction_3 Direction_3;
typedef typename K::Line_3 Line_3;
typedef typename K::Ray_3 Ray_3;
typedef typename K::Segment_3 Segment_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Plane_3 result_type;
typedef Arity_tag< 2 > Arity;
Plane_3
operator()() const
{ return Plane_3(); }
Plane_3
operator()(const RT& a, const RT& b, const RT& c, const RT& d) const
{ return Plane_3(a, b, c, d); }
Plane_3
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return Plane_3(p, q, r); }
Plane_3
operator()(const Point_3& p, const Direction_3& d) const
{ return Plane_3(p, d); }
Plane_3
operator()(const Line_3& l, const Point_3& p) const
{ return Plane_3(l, p); }
Plane_3
operator()(const Ray_3& r, const Point_3& p) const
{ return Plane_3(r, p); }
Plane_3
operator()(const Segment_3& s, const Point_3& p) const
{ return Plane_3(s, p); }
};
template <typename K>
class Construct_point_on_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Segment_2 Segment_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Ray_2 Ray_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 2 > Arity;
Point_2
operator()( const Line_2& l, int i) const
{ return l.point(i); }
Point_2
operator()( const Segment_2& s, int i) const
{ return s.point(i); }
Point_2
operator()( const Ray_2& r, int i) const
{ return r.point(i); }
};
template <typename K>
class Construct_point_on_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Segment_3 Segment_3;
typedef typename K::Line_3 Line_3;
typedef typename K::Ray_3 Ray_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 2 > Arity;
Point_3
operator()( const Line_3& l, int i) const
{ return l.point(i); }
Point_3
operator()( const Segment_3& s, int i) const
{ return s.point(i); }
Point_3
operator()( const Ray_3& r, int i) const
{ return r.point(i); }
Point_3
operator()( const Plane_3& p) const
{ return p.point(); }
};
template <typename K>
class Construct_point_2
{
typedef typename K::RT RT;
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 1 > Arity;
Point_2
operator()() const
{ return Point_2(); }
Point_2
operator()(Origin o) const
{ return Point_2(o); }
#ifndef CGAL_NO_DEPRECATED_CODE
Point_2
operator()(const RT& x, const RT& y) const
{ return Point_2(x, y); }
Point_2
operator()(const RT& x, const RT& y, const RT& w) const
{ return Point_2(x, y, w); }
#endif // CGAL_NO_DEPRECATED_CODE
};
template <typename K>
class Construct_point_3
{
typedef typename K::RT RT;
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 1 > Arity;
Point_3
operator()() const
{ return Point_3(); }
Point_3
operator()(Origin o) const
{ return Point_3(o); }
#ifndef CGAL_NO_DEPRECATED_CODE
Point_3
operator()(const RT& x, const RT& y, const RT& z) const
{ return Point_3(x, y, z); }
Point_3
operator()(const RT& x, const RT& y, const RT& z, const RT& w) const
{ return Point_3(x, y, z, w); }
#endif // CGAL_NO_DEPRECATED_CODE
};
template <typename K>
class Construct_projected_point_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 2 > Arity;
Point_2
operator()( const Line_2& l, const Point_2& p ) const
{ return l.projection(p); }
};
template <typename K>
class Construct_projected_point_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
typedef typename K::Line_3 Line_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 2 > Arity;
Point_3
operator()( const Line_3& l, const Point_3& p ) const
{ return l.projection(p); }
Point_3
operator()( const Plane_3& h, const Point_3& p ) const
{ return h.projection(p); }
};
template <typename K>
class Construct_projected_xy_point_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Point_2 result_type;
typedef Arity_tag< 2 > Arity;
Point_2
operator()( const Plane_3& h, const Point_3& p) const
{ return h.to_2d(p); }
};
template <typename K>
class Construct_ray_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Direction_2 Direction_2;
typedef typename K::Ray_2 Ray_2;
public:
typedef Ray_2 result_type;
typedef Arity_tag< 2 > Arity;
Ray_2
operator()() const
{ return Ray_2(); }
Ray_2
operator()(const Point_2& p, const Point_2& q) const
{ return Ray_2(p, q); }
Ray_2
operator()(const Point_2& p, const Direction_2& d) const
{ return Ray_2(p, d); }
};
template <typename K>
class Construct_ray_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Direction_3 Direction_3;
typedef typename K::Ray_3 Ray_3;
public:
typedef Ray_3 result_type;
typedef Arity_tag< 2 > Arity;
Ray_3
operator()() const
{ return Ray_3(); }
Ray_3
operator()(const Point_3& p, const Point_3& q) const
{ return Ray_3(p, q); }
Ray_3
operator()(const Point_3& p, const Direction_3& d) const
{ return Ray_3(p, d); }
};
template <typename K>
class Construct_scaled_vector_2
{
typedef typename K::RT RT;
typedef typename K::Vector_2 Vector_2;
public:
typedef Vector_2 result_type;
typedef Arity_tag< 2 > Arity;
Vector_2
operator()( const Vector_2& v, const RT& scale) const
{ return v * scale; }
Vector_2
operator()( const Vector_2& v, const Quotient<RT>& scale) const
{ return v * scale; }
};
template <typename K>
class Construct_scaled_vector_3
{
typedef typename K::RT RT;
typedef typename K::Vector_3 Vector_3;
public:
typedef Vector_3 result_type;
typedef Arity_tag< 2 > Arity;
Vector_3
operator()( const Vector_3& v, const RT& scale) const
{ return v * scale; }
Vector_3
operator()( const Vector_3& v, const Quotient<RT>& scale) const
{ return v * scale; }
};
template <typename K>
class Construct_segment_2
{
typedef typename K::Segment_2 Segment_2;
typedef typename K::Point_2 Point_2;
public:
typedef Segment_2 result_type;
typedef Arity_tag< 2 > Arity;
Segment_2
operator()() const
{ return Segment_2(); }
Segment_2
operator()( const Point_2& p, const Point_2& q) const
{ return Segment_2(p, q); }
};
template <typename K>
class Construct_segment_3
{
typedef typename K::Segment_3 Segment_3;
typedef typename K::Point_3 Point_3;
public:
typedef Segment_3 result_type;
typedef Arity_tag< 2 > Arity;
Segment_3
operator()() const
{ return Segment_3(); }
Segment_3
operator()( const Point_3& p, const Point_3& q) const
{ return Segment_3(p, q); }
};
template <typename K>
class Construct_sphere_3
{
typedef typename K::FT FT;
typedef typename K::Point_3 Point_3;
typedef typename K::Sphere_3 Sphere_3;
public:
typedef Sphere_3 result_type;
typedef Arity_tag< 4 > Arity;
Sphere_3
operator()() const
{ return Sphere_3(); }
Sphere_3
operator()( const Point_3& center, const FT& squared_radius,
Orientation orientation = COUNTERCLOCKWISE) const
{ return Sphere_3(center, squared_radius, orientation); }
Sphere_3
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& s) const
{ return Sphere_3(p, q, r, s); }
Sphere_3
operator()( const Point_3& p, const Point_3& q, const Point_3& r,
Orientation orientation = COUNTERCLOCKWISE) const
{ return Sphere_3(p, q, r, orientation); }
Sphere_3
operator()( const Point_3& p, const Point_3& q,
Orientation orientation = COUNTERCLOCKWISE) const
{ return Sphere_3(p, q, orientation); }
Sphere_3
operator()( const Point_3& center,
Orientation orientation = COUNTERCLOCKWISE) const
{ return Sphere_3(center, orientation); }
};
template <typename K>
class Construct_supporting_line_2
{
typedef typename K::Line_2 Line_2;
typedef typename K::Ray_2 Ray_2;
typedef typename K::Segment_2 Segment_2;
public:
typedef Line_2 result_type;
typedef Arity_tag< 1 > Arity;
Line_2
operator()( const Ray_2& r) const
{ return r.supporting_line(); }
Line_2
operator()( const Segment_2& s) const
{ return s.supporting_line(); }
};
template <typename K>
class Construct_supporting_line_3
{
typedef typename K::Line_3 Line_3;
typedef typename K::Ray_3 Ray_3;
typedef typename K::Segment_3 Segment_3;
public:
typedef Line_3 result_type;
typedef Arity_tag< 1 > Arity;
Line_3
operator()( const Ray_3& r) const
{ return r.supporting_line(); }
Line_3
operator()( const Segment_3& s) const
{ return s.supporting_line(); }
};
template <typename K>
class Construct_supporting_plane_3
{
typedef typename K::Triangle_3 Triangle_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef Plane_3 result_type;
typedef Arity_tag< 1 > Arity;
Plane_3
operator()( const Triangle_3& t) const
{ return t.supporting_plane(); }
};
template <typename K>
class Construct_tetrahedron_3
{
typedef typename K::Tetrahedron_3 Tetrahedron_3;
typedef typename K::Point_3 Point_3;
public:
typedef Tetrahedron_3 result_type;
typedef Arity_tag< 4 > Arity;
Tetrahedron_3
operator()() const
{ return Tetrahedron_3(); }
Tetrahedron_3
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& s) const
{ return Tetrahedron_3(p, q, r, s); }
};
template <typename K>
class Construct_translated_point_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Vector_2 Vector_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 2 > Arity;
Point_2
operator()( const Point_2& p, const Vector_2& v) const
{ return p + v; }
};
template <typename K>
class Construct_translated_point_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Vector_3 Vector_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 2 > Arity;
Point_3
operator()( const Point_3& p, const Vector_3& v) const
{ return p + v; }
};
template <typename K>
class Construct_triangle_2
{
typedef typename K::Triangle_2 Triangle_2;
typedef typename K::Point_2 Point_2;
public:
typedef Triangle_2 result_type;
typedef Arity_tag< 3 > Arity;
Triangle_2
operator()() const
{ return Triangle_2(); }
Triangle_2
operator()( const Point_2& p, const Point_2& q, const Point_2& r) const
{ return Triangle_2(p, q, r); }
};
template <typename K>
class Construct_triangle_3
{
typedef typename K::Triangle_3 Triangle_3;
typedef typename K::Point_3 Point_3;
public:
typedef Triangle_3 result_type;
typedef Arity_tag< 3 > Arity;
Triangle_3
operator()() const
{ return Triangle_3(); }
Triangle_3
operator()( const Point_3& p, const Point_3& q, const Point_3& r) const
{ return Triangle_3(p, q, r); }
};
template <typename K>
class Construct_vector_2
{
typedef typename K::RT RT;
typedef typename K::Vector_2 Vector_2;
typedef typename K::Point_2 Point_2;
public:
typedef Vector_2 result_type;
typedef Arity_tag< 2 > Arity;
Vector_2
operator()() const
{ return Vector_2(); }
Vector_2
operator()( const Point_2& p, const Point_2& q) const
{ return Vector_2(p, q); }
Vector_2
operator()( Null_vector n) const
{ return Vector_2(n); }
#ifndef CGAL_NO_DEPRECATED_CODE
Vector_2
operator()( const RT& x, const RT& y) const
{ return Vector_2(x, y); }
Vector_2
operator()( const RT& x, const RT& y, const RT& w) const
{ return Vector_2(x, y, w); }
#endif // CGAL_NO_DEPRECATED_CODE
};
template <typename K>
class Construct_vector_3
{
typedef typename K::RT RT;
typedef typename K::Vector_3 Vector_3;
typedef typename K::Point_3 Point_3;
public:
typedef Vector_3 result_type;
typedef Arity_tag< 2 > Arity;
Vector_3
operator()() const
{ return Vector_3(); }
Vector_3
operator()( const Point_3& p, const Point_3& q) const
{ return Vector_3(p, q); }
Vector_3
operator()( Null_vector n) const
{ return Vector_3(n); }
#ifndef CGAL_NO_DEPRECATED_CODE
Vector_3
operator()( const RT& x, const RT& y, const RT& z) const
{ return Vector_3(x, y, z); }
Vector_3
operator()( const RT& x, const RT& y, const RT& z, const RT& w) const
{ return Vector_3(x, y, z, w); }
#endif // CGAL_NO_DEPRECATED_CODE
};
template <typename K>
class Construct_vertex_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Segment_2 Segment_2;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 2 > Arity;
Point_2
operator()( const Segment_2& s, int i) const
{ return s.vertex(i); }
Point_2
operator()( const Triangle_2& t, int i) const
{ return t.vertex(i); }
Point_2
operator()( const Iso_rectangle_2& r, int i) const
{ return r.vertex(i); }
};
template <typename K>
class Construct_vertex_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Segment_3 Segment_3;
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
typedef typename K::Triangle_3 Triangle_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 2 > Arity;
Point_3
operator()( const Segment_3& s, int i) const
{ return s.vertex(i); }
Point_3
operator()( const Triangle_3& t, int i) const
{ return t.vertex(i); }
Point_3
operator()( const Iso_cuboid_3& r, int i) const
{ return r.vertex(i); }
Point_3
operator()( const Tetrahedron_3& t, int i) const
{ return t.vertex(i); }
};
template <typename K>
class Coplanar_orientation_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Orientation result_type;
typedef Arity_tag< 4 > Arity;
Orientation
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return coplanar_orientation(p, q, r); }
Orientation
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& t) const
{ return coplanar_orientation(p, q, r, t); }
};
template <typename K>
class Coplanar_side_of_bounded_circle_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Bounded_side result_type;
typedef Arity_tag< 4 > Arity;
Bounded_side
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& t) const
{ return coplanar_side_of_bounded_circle(p, q, r, t); }
};
template <typename K>
class Coplanar_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 4 > Arity;
bool
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& s) const
{ return coplanar(p, q, r, s); }
};
template <typename K>
class Counterclockwise_in_between_2
{
typedef typename K::Direction_2 Direction_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()( const Direction_2& p, const Direction_2& q,
const Direction_2& r) const
{ return p.counterclockwise_in_between(q, r); }
};
template <typename K>
class Do_intersect_2
{
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
// There are 36 combinaisons, so I use a template.
template <class T1, class T2>
bool
operator()(const T1& t1, const T2& t2) const
{ return do_intersect(t1, t2); }
};
template <typename K>
class Do_intersect_3
{
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
// There are x combinaisons, so I use a template.
template <class T1, class T2>
bool
operator()(const T1& t1, const T2& t2) const
{ return do_intersect(t1, t2); }
};
template <typename K>
class Equal_xy_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return equal_xy(p, q); }
};
template <typename K>
class Equal_x_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_2& p, const Point_2& q) const
{ return x_equal(p, q); }
};
template <typename K>
class Equal_x_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return x_equal(p, q); }
};
template <typename K>
class Equal_y_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_2& p, const Point_2& q) const
{ return y_equal(p, q); }
};
template <typename K>
class Equal_y_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return y_equal(p, q); }
};
template <typename K>
class Equal_z_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return z_equal(p, q); }
};
template <typename K>
class Equal_2
{
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
// template to replace n different versions
template <typename T>
bool
operator()(const T& p, const T& q) const
{ return p == q; }
};
template <typename K>
class Equal_3
{
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
// template to replace n different versions
template <typename T>
bool
operator()(const T& p, const T& q) const
{ return p == q; }
};
template <typename K>
class Has_on_boundary_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
typedef typename K::Circle_2 Circle_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Circle_2& c, const Point_2& p) const
{ return c.has_on_boundary(p); }
bool
operator()( const Triangle_2& t, const Point_2& p) const
{ return t.has_on_boundary(p); }
bool
operator()( const Iso_rectangle_2& r, const Point_2& p) const
{ return r.has_on_boundary(p); }
};
template <typename K>
class Has_on_boundary_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
typedef typename K::Sphere_3 Sphere_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Sphere_3& s, const Point_3& p) const
{ return s.has_on_boundary(p); }
bool
operator()( const Tetrahedron_3& t, const Point_3& p) const
{ return t.has_on_boundary(p); }
bool
operator()( const Iso_cuboid_3& c, const Point_3& p) const
{ return c.has_on_boundary(p); }
#ifndef CGAL_NO_DEPRECATED_CODE
bool
operator()( const Plane_3& pl, const Point_3& p) const
{ return pl.has_on_boundary(p); }
#endif // CGAL_NO_DEPRECATED_CODE
};
template <typename K>
class Has_on_bounded_side_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
typedef typename K::Circle_2 Circle_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Circle_2& c, const Point_2& p) const
{ return c.has_on_bounded_side(p); }
bool
operator()( const Triangle_2& t, const Point_2& p) const
{ return t.has_on_bounded_side(p); }
bool
operator()( const Iso_rectangle_2& r, const Point_2& p) const
{ return r.has_on_bounded_side(p); }
};
template <typename K>
class Has_on_bounded_side_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
typedef typename K::Sphere_3 Sphere_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Sphere_3& s, const Point_3& p) const
{ return s.has_on_bounded_side(p); }
bool
operator()( const Tetrahedron_3& t, const Point_3& p) const
{ return t.has_on_bounded_side(p); }
bool
operator()( const Iso_cuboid_3& c, const Point_3& p) const
{ return c.has_on_bounded_side(p); }
};
template <typename K>
class Has_on_negative_side_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Circle_2 Circle_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Circle_2& c, const Point_2& p) const
{ return c.has_on_negative_side(p); }
bool
operator()( const Triangle_2& t, const Point_2& p) const
{ return t.has_on_negative_side(p); }
bool
operator()( const Line_2& l, const Point_2& p) const
{ return l.has_on_negative_side(p); }
};
template <typename K>
class Has_on_negative_side_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
typedef typename K::Sphere_3 Sphere_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Sphere_3& s, const Point_3& p) const
{ return s.has_on_negative_side(p); }
bool
operator()( const Tetrahedron_3& t, const Point_3& p) const
{ return t.has_on_negative_side(p); }
bool
operator()( const Plane_3& pl, const Point_3& p) const
{ return pl.has_on_negative_side(p); }
};
template <typename K>
class Has_on_positive_side_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Circle_2 Circle_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Circle_2& c, const Point_2& p) const
{ return c.has_on_positive_side(p); }
bool
operator()( const Triangle_2& t, const Point_2& p) const
{ return t.has_on_positive_side(p); }
bool
operator()( const Line_2& l, const Point_2& p) const
{ return l.has_on_positive_side(p); }
};
template <typename K>
class Has_on_positive_side_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
typedef typename K::Sphere_3 Sphere_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Sphere_3& s, const Point_3& p) const
{ return s.has_on_positive_side(p); }
bool
operator()( const Tetrahedron_3& t, const Point_3& p) const
{ return t.has_on_positive_side(p); }
bool
operator()( const Plane_3& pl, const Point_3& p) const
{ return pl.has_on_positive_side(p); }
};
template <typename K>
class Has_on_unbounded_side_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
typedef typename K::Circle_2 Circle_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Circle_2& c, const Point_2& p) const
{ return c.has_on_unbounded_side(p); }
bool
operator()( const Triangle_2& t, const Point_2& p) const
{ return t.has_on_unbounded_side(p); }
bool
operator()( const Iso_rectangle_2& r, const Point_2& p) const
{ return r.has_on_unbounded_side(p); }
};
template <typename K>
class Has_on_unbounded_side_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
typedef typename K::Sphere_3 Sphere_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Sphere_3& s, const Point_3& p) const
{ return s.has_on_unbounded_side(p); }
bool
operator()( const Tetrahedron_3& t, const Point_3& p) const
{ return t.has_on_unbounded_side(p); }
bool
operator()( const Iso_cuboid_3& c, const Point_3& p) const
{ return c.has_on_unbounded_side(p); }
};
template <typename K>
class Has_on_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Ray_2 Ray_2;
typedef typename K::Segment_2 Segment_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Line_2& l, const Point_2& p) const
{ return l.has_on(p); }
bool
operator()( const Ray_2& r, const Point_2& p) const
{ return r.has_on(p); }
bool
operator()( const Segment_2& s, const Point_2& p) const
{ return s.has_on(p); }
};
template <typename K>
class Has_on_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Line_3 Line_3;
typedef typename K::Ray_3 Ray_3;
typedef typename K::Segment_3 Segment_3;
typedef typename K::Plane_3 Plane_3;
typedef typename K::Triangle_3 Triangle_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Line_3& l, const Point_3& p) const
{ return l.has_on(p); }
bool
operator()( const Ray_3& r, const Point_3& p) const
{ return r.has_on(p); }
bool
operator()( const Segment_3& s, const Point_3& p) const
{ return s.has_on(p); }
bool
operator()( const Plane_3& pl, const Point_3& p) const
{ return pl.has_on(p); }
bool
operator()( const Triangle_3& t, const Point_3& p) const
{ return t.has_on(p); }
};
template <typename K>
class Intersect_2
{
typedef typename K::Object_2 Object_2;
public:
typedef Object_2 result_type;
typedef Arity_tag< 2 > Arity;
// 25 possibilities, so I keep the template.
template <class T1, class T2>
Object_2
operator()(const T1& t1, const T2& t2) const
{ return intersection(t1, t2); }
};
template <typename K>
class Intersect_3
{
typedef typename K::Object_3 Object_3;
public:
typedef Object_3 result_type;
typedef Arity_tag< 2 > Arity;
// n possibilities, so I keep the template.
template <class T1, class T2>
Object_3
operator()(const T1& t1, const T2& t2) const
{ return intersection(t1, t2); }
};
template <typename K>
class Is_degenerate_2
{
typedef typename K::Circle_2 Circle_2;
typedef typename K::Iso_rectangle_2 Iso_rectangle_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Ray_2 Ray_2;
typedef typename K::Segment_2 Segment_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef bool result_type;
typedef Arity_tag< 1 > Arity;
bool
operator()( const Circle_2& c) const
{ return c.is_degenerate(); }
bool
operator()( const Iso_rectangle_2& r) const
{ return r.is_degenerate(); }
bool
operator()( const Line_2& l) const
{ return l.is_degenerate(); }
bool
operator()( const Ray_2& r) const
{ return r.is_degenerate(); }
bool
operator()( const Segment_2& s) const
{ return s.is_degenerate(); }
bool
operator()( const Triangle_2& t) const
{ return t.is_degenerate(); }
};
template <typename K>
class Is_degenerate_3
{
typedef typename K::Iso_cuboid_3 Iso_cuboid_3;
typedef typename K::Line_3 Line_3;
typedef typename K::Plane_3 Plane_3;
typedef typename K::Ray_3 Ray_3;
typedef typename K::Segment_3 Segment_3;
typedef typename K::Sphere_3 Sphere_3;
typedef typename K::Triangle_3 Triangle_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
public:
typedef bool result_type;
typedef Arity_tag< 1 > Arity;
bool
operator()( const Iso_cuboid_3& c) const
{ return c.is_degenerate(); }
bool
operator()( const Line_3& l) const
{ return l.is_degenerate(); }
bool
operator()( const Plane_3& pl) const
{ return pl.is_degenerate(); }
bool
operator()( const Ray_3& r) const
{ return r.is_degenerate(); }
bool
operator()( const Segment_3& s) const
{ return s.is_degenerate(); }
bool
operator()( const Sphere_3& s) const
{ return s.is_degenerate(); }
bool
operator()( const Triangle_3& t) const
{ return t.is_degenerate(); }
bool
operator()( const Tetrahedron_3& t) const
{ return t.is_degenerate(); }
};
template <typename K>
class Is_horizontal_2
{
typedef typename K::Line_2 Line_2;
typedef typename K::Segment_2 Segment_2;
typedef typename K::Ray_2 Ray_2;
public:
typedef bool result_type;
typedef Arity_tag< 1 > Arity;
bool
operator()( const Line_2& l) const
{ return l.is_horizontal(); }
bool
operator()( const Segment_2& s) const
{ return s.is_horizontal(); }
bool
operator()( const Ray_2& r) const
{ return r.is_horizontal(); }
};
template <typename K>
class Is_vertical_2
{
typedef typename K::Line_2 Line_2;
typedef typename K::Segment_2 Segment_2;
typedef typename K::Ray_2 Ray_2;
public:
typedef bool result_type;
typedef Arity_tag< 1 > Arity;
bool
operator()( const Line_2& l) const
{ return l.is_vertical(); }
bool
operator()( const Segment_2& s) const
{ return s.is_vertical(); }
bool
operator()( const Ray_2& r) const
{ return r.is_vertical(); }
};
// We qualify the call to the global function with the CGAL namespace because
// otherwise ambigiuties arise when Point_2 is a leda_point (or leda_rat_point)
// and using LEDA versions earlier than 4.4 (where the leda namespace was
// introduced). Compilers cannot decide between the left_turn from LEDA in
// global namespace and the left_turn in CGAL namespace defined in
// (rat_)leda_for_CGAL_2.h.
template <typename K>
class Left_turn_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return CGAL::left_turn(p, q, r); }
};
template <typename K>
class Less_distance_to_point_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return has_smaller_distance_to_point(p, q, r); }
};
template <typename K>
class Less_distance_to_point_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_3& p, const Point_3& q, const Point_3& r) const
{ return has_smaller_distance_to_point(p, q, r); }
};
template <typename K>
class Less_rotate_ccw_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& r, const Point_2& p, const Point_2& q) const
{
Orientation ori = orientation(r, p, q);
if ( ori == LEFT_TURN )
return true;
else if ( ori == RIGHT_TURN )
return false;
else
{
if (p == r) return false;
if (q == r) return true;
if (p == q) return false;
return collinear_are_ordered_along_line( r, q, p);
}
}
};
template <typename K>
class Less_signed_distance_to_line_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 4 > Arity;
bool
operator()(const Point_2& a, const Point_2& b,
const Point_2& c, const Point_2& d) const
{
Comparison_result res = compare_signed_distance_to_line(a, b, c, d);
if ( res == LARGER )
return false;
else if ( res == SMALLER )
return true;
else
return lexicographically_xy_smaller( c, d );
}
};
template <typename K>
class Less_signed_distance_to_plane_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()( const Plane_3& p, const Point_3& q, const Point_3& r) const
{ return has_smaller_signed_distance_to_plane(p, q, r); }
};
template <typename K>
class Less_xyz_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return lexicographically_xyz_smaller(p, q); }
};
template <typename K>
class Less_xy_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_2& p, const Point_2& q) const
{ return lexicographically_xy_smaller( p, q); }
};
template <typename K>
class Less_xy_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return lexicographically_xy_smaller( p, q); }
};
template <typename K>
class Less_x_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_2& p, const Point_2& q) const
{ return less_x(p, q); }
};
template <typename K>
class Less_x_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return less_x(p, q); }
};
template <typename K>
class Less_yx_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_2& p, const Point_2& q) const
{ return lexicographically_yx_smaller(p, q); }
};
template <typename K>
class Less_y_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_2& p, const Point_2& q) const
{ return less_y(p, q); }
};
template <typename K>
class Less_y_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return less_y(p, q); }
};
template <typename K>
class Less_z_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return less_z(p, q); }
};
template <typename K>
class Orientation_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Orientation result_type;
typedef Arity_tag< 3 > Arity;
Orientation
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return orientation(p, q, r); }
};
template <typename K>
class Orientation_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Orientation result_type;
typedef Arity_tag< 4 > Arity;
Orientation
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& s) const
{ return orientation(p, q, r, s); }
};
template <typename K>
class Oriented_side_2
{
typedef typename K::Point_2 Point_2;
typedef typename K::Circle_2 Circle_2;
typedef typename K::Line_2 Line_2;
typedef typename K::Triangle_2 Triangle_2;
public:
typedef Oriented_side result_type;
typedef Arity_tag< 2 > Arity;
Oriented_side
operator()( const Circle_2& c, const Point_2& p) const
{ return c.oriented_side(p); }
Oriented_side
operator()( const Line_2& l, const Point_2& p) const
{ return l.oriented_side(p); }
Oriented_side
operator()( const Triangle_2& t, const Point_2& p) const
{ return t.oriented_side(p); }
};
template <typename K>
class Oriented_side_3
{
typedef typename K::Point_3 Point_3;
typedef typename K::Tetrahedron_3 Tetrahedron_3;
typedef typename K::Plane_3 Plane_3;
typedef typename K::Sphere_3 Sphere_3;
public:
typedef Oriented_side result_type;
typedef Arity_tag< 2 > Arity;
Oriented_side
operator()( const Sphere_3& s, const Point_3& p) const
{ return s.oriented_side(p); }
Oriented_side
operator()( const Plane_3& pl, const Point_3& p) const
{ return pl.oriented_side(p); }
Oriented_side
operator()( const Tetrahedron_3& t, const Point_3& p) const
{ return t.oriented_side(p); }
};
template <typename K>
class Side_of_bounded_circle_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Bounded_side result_type;
typedef Arity_tag< 4 > Arity;
Bounded_side
operator()( const Point_2& p, const Point_2& q, const Point_2& t) const
{ return side_of_bounded_circle(p, q, t); }
Bounded_side
operator()( const Point_2& p, const Point_2& q,
const Point_2& r, const Point_2& t) const
{ return side_of_bounded_circle(p, q, r, t); }
};
template <typename K>
class Side_of_bounded_sphere_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Bounded_side result_type;
typedef Arity_tag< 5 > Arity;
Bounded_side
operator()( const Point_3& p, const Point_3& q, const Point_3& t) const
{ return side_of_bounded_sphere(p, q, t); }
Bounded_side
operator()( const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& t) const
{ return side_of_bounded_sphere(p, q, r, t); }
Bounded_side
operator()( const Point_3& p, const Point_3& q, const Point_3& r,
const Point_3& s, const Point_3& t) const
{ return side_of_bounded_sphere(p, q, r, s, t); }
};
template <typename K>
class Side_of_oriented_circle_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Oriented_side result_type;
typedef Arity_tag< 4 > Arity;
Oriented_side
operator()( const Point_2& p, const Point_2& q,
const Point_2& r, const Point_2& t) const
{ return side_of_oriented_circle(p, q, r, t); }
};
template <typename K>
class Side_of_oriented_sphere_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Oriented_side result_type;
typedef Arity_tag< 5 > Arity;
Oriented_side
operator()( const Point_3& p, const Point_3& q, const Point_3& r,
const Point_3& s, const Point_3& t) const
{ return side_of_oriented_sphere(p, q, r, s, t); }
};
#ifndef CGAL_NO_DEPRECATED_CODE
template <typename K>
class Equal_xy_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_2& p, const Point_2& q) const
{ return equal_xy(p, q); }
};
template <typename K>
class Leftturn_2
{
typedef typename K::Point_2 Point_2;
public:
typedef bool result_type;
typedef Arity_tag< 3 > Arity;
bool
operator()(const Point_2& p, const Point_2& q, const Point_2& r) const
{ return CGAL::left_turn(p, q, r); }
};
template <typename K>
class Equal_xyz_3
{
typedef typename K::Point_3 Point_3;
public:
typedef bool result_type;
typedef Arity_tag< 2 > Arity;
bool
operator()( const Point_3& p, const Point_3& q) const
{ return equal_xyz(p, q); }
};
template <typename K>
class Construct_direction_of_line_2
{
typedef typename K::Direction_2 Direction_2;
typedef typename K::Line_2 Line_2;
public:
typedef Direction_2 result_type;
typedef Arity_tag< 1 > Arity;
Direction_2
operator()( const Line_2& l) const
{ return l.direction(); }
};
template <typename K>
class Construct_direction_of_line_3
{
typedef typename K::Direction_3 Direction_3;
typedef typename K::Line_3 Line_3;
public:
typedef Direction_3 result_type;
typedef Arity_tag< 1 > Arity;
Direction_3
operator()( const Line_3& l) const
{ return l.direction(); }
};
template <typename K>
class Construct_direction_of_ray_2
{
typedef typename K::Direction_2 Direction_2;
typedef typename K::Ray_2 Ray_2;
public:
typedef Direction_2 result_type;
typedef Arity_tag< 1 > Arity;
Direction_2
operator()( const Ray_2& r) const
{ return r.direction(); }
};
template <typename K>
class Construct_direction_of_ray_3
{
typedef typename K::Direction_3 Direction_3;
typedef typename K::Ray_3 Ray_3;
public:
typedef Direction_3 result_type;
typedef Arity_tag< 1 > Arity;
Direction_3
operator()( const Ray_3& r) const
{ return r.direction(); }
};
template <typename K>
class Construct_max_point_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_2
operator()( const Cls& c) const
{ return c.max(); }
};
template <typename K>
class Construct_max_point_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_3
operator()( const Cls& c) const
{ return c.max(); }
};
template <typename K>
class Construct_min_point_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_2
operator()( const Cls& c) const
{ return c.min(); }
};
template <typename K>
class Construct_min_point_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_3
operator()( const Cls& c) const
{ return c.min(); }
};
template <typename K>
class Construct_source_point_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_2
operator()( const Cls& c) const
{ return c.source(); }
};
template <typename K>
class Construct_source_point_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_3
operator()( const Cls& c) const
{ return c.source(); }
};
template <typename K>
class Construct_target_point_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_2
operator()( const Cls& c) const
{ return c.target(); }
};
template <typename K>
class Construct_target_point_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_3
operator()( const Cls& c) const
{ return c.target(); }
};
template <typename K>
class Construct_second_point_on_2
{
typedef typename K::Point_2 Point_2;
public:
typedef Point_2 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_2
operator()( const Cls& c) const
{ return c.second_point(); }
};
template <typename K>
class Construct_second_point_on_3
{
typedef typename K::Point_3 Point_3;
public:
typedef Point_3 result_type;
typedef Arity_tag< 1 > Arity;
template <class Cls>
Point_3
operator()( const Cls& c) const
{ return c.second_point(); }
};
template <typename K>
class Transform_2
{
public:
template <class Transformation, class ArgumentType>
ArgumentType
operator()( const ArgumentType& a, const Transformation& t) const
{ return a.transform(t); }
};
template <typename K>
class Transform_3
{
public:
template <class Transformation, class ArgumentType>
ArgumentType
operator()( const ArgumentType& a, const Transformation& t) const
{ return a.transform(t); }
};
// This one is 100% unused.
template <class ReturnType>
class Call_x_at_y_to_get
{
public:
typedef ReturnType result_type;
typedef Arity_tag< 2 > Arity;
template <class Cls>
ReturnType
operator()( const Cls& c, const ReturnType& x) const
{ return c.x_at_y(x); }
};
template <typename K>
class Compute_y_at_x_2
{
typedef typename K::FT FT;
typedef typename K::Line_2 Line_2;
public:
typedef FT result_type;
typedef Arity_tag< 2 > Arity;
FT
operator()( const Line_2& l, const FT& x) const
{ return l.y_at_x(x); }
};
template <typename K>
class Construct_aff_transformation_2
{
typedef typename K::Aff_transformation_2 ToBeConstructed;
public:
typedef ToBeConstructed result_type;
ToBeConstructed
operator()() const
{ return ToBeConstructed(); }
template <class A1>
ToBeConstructed
operator()( const A1& a1) const
{ return ToBeConstructed(a1); }
template <class A1, class A2>
ToBeConstructed
operator()( const A1& a1, const A2& a2) const
{ return ToBeConstructed(a1,a2); }
template <class A1, class A2, class A3>
ToBeConstructed
operator()( const A1& a1, const A2& a2, const A3& a3) const
{ return ToBeConstructed(a1,a2,a3); }
template <class A1, class A2, class A3, class A4>
ToBeConstructed
operator()( const A1& a1, const A2& a2, const A3& a3, const A4& a4) const
{ return ToBeConstructed(a1,a2,a3,a4); }
template <class A1, class A2, class A3, class A4, class A5>
ToBeConstructed
operator()( const A1& a1, const A2& a2, const A3& a3, const A4& a4,
const A5& a5) const
{ return ToBeConstructed(a1,a2,a3,a4,a5); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6 ) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7 ) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9,
const A& a10) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9,
const A& a10,const A& a11,const A& a12) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9,
const A& a10,const A& a11,const A& a12,
const A& a13) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13); }
};
template <typename K>
class Construct_aff_transformation_3
{
typedef typename K::Aff_transformation_3 ToBeConstructed;
public:
typedef ToBeConstructed result_type;
ToBeConstructed
operator()() const
{ return ToBeConstructed(); }
template <class A1>
ToBeConstructed
operator()( const A1& a1) const
{ return ToBeConstructed(a1); }
template <class A1, class A2>
ToBeConstructed
operator()( const A1& a1, const A2& a2) const
{ return ToBeConstructed(a1,a2); }
template <class A1, class A2, class A3>
ToBeConstructed
operator()( const A1& a1, const A2& a2, const A3& a3) const
{ return ToBeConstructed(a1,a2,a3); }
template <class A1, class A2, class A3, class A4>
ToBeConstructed
operator()( const A1& a1, const A2& a2, const A3& a3, const A4& a4) const
{ return ToBeConstructed(a1,a2,a3,a4); }
template <class A1, class A2, class A3, class A4, class A5>
ToBeConstructed
operator()( const A1& a1, const A2& a2, const A3& a3, const A4& a4,
const A5& a5) const
{ return ToBeConstructed(a1,a2,a3,a4,a5); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6 ) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7 ) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9,
const A& a10) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9,
const A& a10,const A& a11,const A& a12) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12); }
template <class A>
ToBeConstructed
operator()( const A& a1, const A& a2, const A& a3,
const A& a4, const A& a5, const A& a6,
const A& a7, const A& a8, const A& a9,
const A& a10,const A& a11,const A& a12,
const A& a13) const
{ return ToBeConstructed(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13); }
};
#endif // CGAL_NO_DEPRECATED_CODE
} // namespace CGALi
CGAL_END_NAMESPACE
#endif // CGAL_KERNEL_FUNCTION_OBJECTS_H
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