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cgal/Old_Packages/Cartesian_basic/include/CGAL/Cartesian_2.h

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// ======================================================================
//
// Copyright (c) 2000 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/Cartesian_2.h
// revision : $Revision$
// revision_date : $Date$
// author(s) : Herve Bronnimann
// coordinator : INRIA Sophia-Antipolis (Mariette.Yvinec@sophia.inria.fr)
//
// ======================================================================
#ifndef CGAL_CARTESIAN_2_H
#define CGAL_CARTESIAN_2_H
#include <CGAL/basic.h>
#include <CGAL/cartesian_classes.h>
#ifdef CGAL_CFG_NO_ADVANCED_KERNEL
// Because we cannot use Michael's scheme, we need the wrapper classes
// We include them (they are common to Cartesian and Homogeneous)
#include <CGAL/user_classes.h>
#endif // CGAL_CFG_NO_ADVANCED_KERNEL
#define CGAL_REP_CLASS_DEFINED
#define CGAL_CARTESIAN_CLASS_DEFINED
CGAL_BEGIN_NAMESPACE
template< class R, class FT_ >
struct Cartesian_base_2
{
// Number types and representation tag
typedef FT_ RT;
typedef FT_ FT;
typedef Cartesian_tag Rep_tag;
typedef Cartesian_tag Kernel_tag;
typedef CGAL::Object Object_2;
#ifndef CGAL_CFG_NO_ADVANCED_KERNEL
typedef CGAL::Point_2<R,Rep_tag> Point_2;
typedef CGAL::Vector_2<R,Rep_tag> Vector_2;
typedef CGAL::Direction_2<R,Rep_tag> Direction_2;
typedef CGAL::Segment_2<R,Rep_tag> Segment_2;
typedef CGAL::Line_2<R,Rep_tag> Line_2;
typedef CGAL::Ray_2<R,Rep_tag> Ray_2;
typedef CGAL::Triangle_2<R,Rep_tag> Triangle_2;
typedef CGAL::Circle_2<R,Rep_tag> Circle_2;
typedef CGAL::Iso_rectangle_2<R,Rep_tag> Iso_rectangle_2;
typedef CGAL::Aff_transformation_2<R,Rep_tag> Aff_transformation_2;
typedef CGAL::Data_accessor_2<R,Rep_tag> Data_accessor_2;
typedef CGAL::ConicCPA2<Point_2,Data_accessor_2> Conic_2;
#else
typedef PointC2<R> Point_2;
typedef VectorC2<R> Vector_2;
typedef DirectionC2<R> Direction_2;
typedef SegmentC2<R> Segment_2;
typedef LineC2<R> Line_2;
typedef RayC2<R> Ray_2;
typedef TriangleC2<R> Triangle_2;
typedef CircleC2<R> Circle_2;
typedef Iso_rectangleC2<R> Iso_rectangle_2;
typedef Aff_transformationC2<R> Aff_transformation_2;
typedef Data_accessorC2<R> Data_accessor_2;
typedef ConicCPA2<Point_2,Data_accessor_2> Conic_2;
#endif // CGAL_CFG_NO_ADVANCED_KERNEL
};
CGAL_END_NAMESPACE
#include <CGAL/Cartesian/Point_2.h>
#include <CGAL/Cartesian/Vector_2.h>
#include <CGAL/Cartesian/Direction_2.h>
#include <CGAL/Cartesian/Line_2.h>
#include <CGAL/Cartesian/Ray_2.h>
#include <CGAL/Cartesian/Segment_2.h>
#include <CGAL/Cartesian/Triangle_2.h>
#include <CGAL/Cartesian/Circle_2.h>
#include <CGAL/Cartesian/Iso_rectangle_2.h>
#include <CGAL/Cartesian/Aff_transformation_2.h>
#include <CGAL/Cartesian/Data_accessor_2.h>
#include <CGAL/Cartesian/global_operators_2.h>
#include <CGAL/Cartesian/predicates_on_points_2.h>
#include <CGAL/Cartesian/predicates_on_directions_2.h>
#include <CGAL/Cartesian/predicates_on_lines_2.h>
#include <CGAL/Cartesian/distance_predicates_2.h>
#include <CGAL/Cartesian/constructions_on_points_2.h>
#include <CGAL/Cartesian/constructions_on_lines_2.h>
#include <CGAL/Cartesian/constructions_on_circles_2.h>
#include <CGAL/Cartesian/distance_computations_2.h>
#include <CGAL/Cartesian/Point_2.C>
#include <CGAL/Cartesian/Vector_2.C>
#include <CGAL/Cartesian/Direction_2.C>
#include <CGAL/Cartesian/Line_2.C>
#include <CGAL/Cartesian/Ray_2.C>
#include <CGAL/Cartesian/Segment_2.C>
#include <CGAL/Cartesian/Triangle_2.C>
#include <CGAL/Cartesian/Circle_2.C>
#include <CGAL/Cartesian/Iso_rectangle_2.C>
#include <CGAL/Cartesian/Aff_transformation_2.C>
// #include <CGAL/Kernel/Construction_objects_2.h>
// #include <CGAL/Kernel/Predicate_objects_2.h>
#include <CGAL/predicate_objects_on_points_2.h>
#include <CGAL/Kernel/function_objects.h>
CGAL_BEGIN_NAMESPACE
// This class is a restricted 2D geometric kernel
// It is useful only if you do not need the 3D kernel
// If you need both, you should be using Cartesian<FT>
template< class FT_ >
struct Cartesian_2 :
public Cartesian_base_2< Cartesian_2<FT_>, FT_ >
{
// Number types and representation tag
typedef FT_ RT;
typedef FT_ FT;
typedef Cartesian_tag Rep_tag;
typedef Cartesian_tag Kernel_tag;
typedef Cartesian_2<FT_> Self;
typedef Cartesian_base_2<Self,FT_> Kernel_base;
typedef typename Kernel_base::Object_2 Object_2;
#ifndef CGAL_CFG_NO_ADVANCED_KERNEL
// The classes are inherited and because of partial specialization,
// Cartesian_2<FT>::Point_2 is exactly CGAL::Point_2< Cartesian_2<FT> >
// We still need to inherit explicitly, see Cartesian.h for explanation
typedef typename Kernel_base::Point_2 Point_2;
typedef typename Kernel_base::Vector_2 Vector_2;
typedef typename Kernel_base::Direction_2 Direction_2;
typedef typename Kernel_base::Segment_2 Segment_2;
typedef typename Kernel_base::Line_2 Line_2;
typedef typename Kernel_base::Ray_2 Ray_2;
typedef typename Kernel_base::Triangle_2 Triangle_2;
typedef typename Kernel_base::Circle_2 Circle_2;
typedef typename Kernel_base::Iso_rectangle_2 Iso_rectangle_2;
typedef typename Kernel_base::Aff_transformation_2 Aff_transformation_2;
#else
// Now CGAL::Point_2<R> is only a wrapper around CGAL::PointC2<R>
// It is necessary to redefine here the classes to ensure that
// Cartesian_2<FT>::Point_2 is exactly CGAL::Point_2< Cartesian_2<FT> >
// Cartesian_2<FT>::Base is needed so that CGAL::Point_2< Cartesian_2<FT> >
// can inherit from Cartesian_2<FT>::Point_2_base
typedef typename Kernel_base::Point_2 Point_2_base;
typedef typename Kernel_base::Vector_2 Vector_2_base;
typedef typename Kernel_base::Direction_2 Direction_2_base;
typedef typename Kernel_base::Segment_2 Segment_2_base;
typedef typename Kernel_base::Line_2 Line_2_base;
typedef typename Kernel_base::Ray_2 Ray_2_base;
typedef typename Kernel_base::Triangle_2 Triangle_2_base;
typedef typename Kernel_base::Circle_2 Circle_2_base;
typedef typename Kernel_base::Iso_rectangle_2 Iso_rectangle_2_base;
typedef typename Kernel_base::Aff_transformation_2
Aff_transformation_2_base;
// Note: necessary to qualify Point_2 by CGAL:: to disambiguate between
// Point_2 in the current namespace (nested within CGAL)
// CGAL::Point_2< Cartesian_2<FT> > (which is in the CGAL namespace)
typedef CGAL::Point_2<Self> Point_2;
typedef CGAL::Vector_2<Self> Vector_2;
typedef CGAL::Direction_2<Self> Direction_2;
typedef CGAL::Segment_2<Self> Segment_2;
typedef CGAL::Line_2<Self> Line_2;
typedef CGAL::Ray_2<Self> Ray_2;
typedef CGAL::Triangle_2<Self> Triangle_2;
typedef CGAL::Circle_2<Self> Circle_2;
typedef CGAL::Iso_rectangle_2<Self> Iso_rectangle_2;
typedef CGAL::Aff_transformation_2<Self> Aff_transformation_2;
typedef Data_accessorC2<Self> Data_accessor_2;
typedef ConicCPA2<Point_2,Data_accessor_2> Conic_2;
#endif // CGAL_CFG_NO_ADVANCED_KERNEL
// TODO: cleanup
static FT make_FT(const RT & num, const RT& denom) { return num/denom;}
static FT make_FT(const RT & num) { return num;}
static RT FT_numerator(const FT &r) { return r;}
static RT FT_denominator(const FT &) { return RT(1);}
typedef CGALi::Construct<Point_2> Construct_point_2;
typedef CGALi::Construct<Vector_2> Construct_vector_2;
typedef CGALi::Construct<Direction_2> Construct_direction_2;
typedef CGALi::Construct<Segment_2> Construct_segment_2;
typedef CGALi::Construct<Line_2> Construct_line_2;
typedef CGALi::Construct<Ray_2> Construct_ray_2;
typedef CGALi::Construct<Circle_2> Construct_circle_2;
typedef CGALi::Construct<Triangle_2> Construct_triangle_2;
typedef CGALi::Construct<Iso_rectangle_2> Construct_iso_rectangle_2;
typedef CGALi::Construct<Aff_transformation_2> Construct_aff_transformation_2;
Construct_point_2
construct_point_2_object() const
{ return Construct_point_2(); }
Construct_vector_2
construct_vector_2_object() const
{ return Construct_vector_2(); }
Construct_direction_2
construct_direction_2_object() const
{ return Construct_direction_2(); }
Construct_segment_2
construct_segment_2_object() const
{ return Construct_segment_2(); }
Construct_line_2
construct_line_2_object() const
{ return Construct_line_2(); }
Construct_ray_2
construct_ray_2_object() const
{ return Construct_ray_2(); }
Construct_circle_2
construct_circle_2_object() const
{ return Construct_circle_2(); }
Construct_triangle_2
construct_triangle_2_object() const
{ return Construct_triangle_2(); }
Construct_iso_rectangle_2
construct_iso_rectangle_2_object() const
{ return Construct_iso_rectangle_2();}
Construct_aff_transformation_2
construct_aff_transformation_2_object() const
{ return Construct_aff_transformation_2(); }
typedef CGALi::Call_point_to_get<Point_2> Construct_point_on_2;
Construct_point_on_2
construct_point_on_2_object() const
{ return Construct_point_on_2(); }
typedef CGALi::Call_second_point_to_get<Point_2> Construct_second_point_on_2;
Construct_second_point_on_2
construct_second_point_on_2_object() const
{ return Construct_second_point_on_2(); }
typedef CGALi::Call_source_to_get<Point_2> Construct_source_point_2;
Construct_source_point_2
construct_source_point_2_object() const
{ return Construct_source_point_2(); }
typedef CGALi::Call_target_to_get<Point_2> Construct_target_point_2;
Construct_target_point_2
construct_target_point_2_object() const
{ return Construct_target_point_2(); }
typedef CGALi::Call_min_to_get<Point_2> Construct_min_point_2;
Construct_min_point_2
construct_min_point_2_object() const
{ return Construct_min_point_2(); }
typedef CGALi::Call_max_to_get<Point_2> Construct_max_point_2;
Construct_max_point_2
construct_max_point_2_object() const
{ return Construct_max_point_2(); }
typedef CGALi::Call_direction_to_get<Direction_2>
Construct_direction_of_line_2;
Construct_direction_of_line_2
construct_direction_of_line_2_object() const
{ return Construct_direction_of_line_2(); }
typedef CGALi::Call_direction_to_get<Direction_2> Construct_direction_of_ray_2;
Construct_direction_of_ray_2
construct_direction_of_ray_2_object() const
{ return Construct_direction_of_ray_2(); }
typedef CGALi::Call_supporting_line_to_get<Line_2> Construct_supporting_line_2;
Construct_supporting_line_2
construct_supporting_line_2_object() const
{ return Construct_supporting_line_2(); }
typedef CGALi::Call_perpendicular_to_get<Vector_2>
Construct_perpendicular_vector_2;
Construct_perpendicular_vector_2
construct_perpendicular_vector_2_object() const
{ return Construct_perpendicular_vector_2(); }
typedef CGALi::Call_perpendicular_to_get<Direction_2>
Construct_perpendicular_direction_2;
Construct_perpendicular_direction_2
construct_perpendicular_direction_2_object() const
{ return Construct_perpendicular_direction_2(); }
typedef CGALi::Call_perpendicular_to_get<Line_2>
Construct_perpendicular_line_2;
Construct_perpendicular_line_2
construct_perpendicular_line_2_object() const
{ return Construct_perpendicular_line_2(); }
typedef CGALi::p_Midpoint<Point_2> Construct_midpoint;
Construct_midpoint
construct_midpoint_object() const
{ return Construct_midpoint(); }
typedef CGALi::p_Circumcenter<Point_2> Construct_circumcenter_2;
Construct_circumcenter_2
construct_circumcenter_2_object() const
{ return Construct_circumcenter_2(); }
typedef CGALi::pl_Bisector<Point_2, Line_2> Construct_bisector_2;
Construct_bisector_2
construct_bisector_2_object() const
{ return Construct_bisector_2(); }
typedef CGALi::Call_opposite_to_get<Segment_2>
Construct_opposite_segment_2;
Construct_opposite_segment_2
construct_opposite_segment_2_object() const
{ return Construct_opposite_segment_2(); }
typedef CGALi::Call_opposite_to_get<Ray_2> Construct_opposite_ray_2;
Construct_opposite_ray_2
construct_opposite_ray_2_object() const
{ return Construct_opposite_ray_2(); }
typedef CGALi::Call_opposite_to_get<Line_2> Construct_opposite_line_2;
Construct_opposite_line_2
construct_opposite_line_2_object() const
{ return Construct_opposite_line_2(); }
typedef CGALi::Call_opposite_to_get<Triangle_2>
Construct_opposite_triangle_2;
Construct_opposite_triangle_2
construct_opposite_triangle_2_object() const
{ return Construct_opposite_triangle_2(); }
typedef CGALi::Call_opposite_to_get<Circle_2> Construct_opposite_circle_2;
Construct_opposite_circle_2
construct_opposite_circle_2_object() const
{ return Construct_opposite_circle_2(); }
typedef CGALi::Assign Assign_2;
Assign_2
assign_2_object() const
{ return Assign_2(); }
typedef CGALi::Call_transform Transform_2;
Transform_2
transform_2_object() const
{ return Transform_2(); }
typedef CGALi::Intersect Intersect_2;
Intersect_2
intersect_2_object() const
{ return Intersect_2(); }
typedef CGALi::Call_y_at_x_to_get<FT> Compute_y_at_x_2;
Compute_y_at_x_2
compute_y_at_x_2_object() const
{ return Compute_y_at_x_2(); }
typedef CGALi::Call_squared_length_to_get<FT> Compute_squared_length_2;
Compute_squared_length_2
Compute_squared_length_2_object() const
{ return Compute_squared_length_2(); }
typedef CGALi::Equal Equal_2;
Equal_2
equal_2_object() const
{ return Equal_2(); }
typedef CGALi::Equal_x Equal_x_2;
Equal_x_2
equal_x_2_object() const
{ return Equal_x_2(); }
typedef CGALi::Equal_y Equal_y_2;
Equal_y_2
equal_y_2_object() const
{ return Equal_y_2(); }
typedef CGALi::Equal_xy Equal_xy_2;
Equal_xy_2
equal_xy_2_object() const
{ return Equal_xy_2(); }
typedef CGALi::Less_x Less_x_2;
Less_x_2
less_x_2_object() const
{ return Less_x_2(); }
typedef CGALi::Less_y Less_y_2;
Less_y_2
less_y_2_object() const
{ return Less_y_2(); }
typedef CGAL::p_Less_xy<Point_2> Less_xy_2;
Less_xy_2
less_xy_2_object() const
{ return Less_xy_2(); }
typedef CGALi::Compare_x Compare_x_2;
Compare_x_2
compare_x_2_object() const
{ return Compare_x_2(); }
typedef CGALi::Compare_y Compare_y_2;
Compare_y_2
compare_y_2_object() const
{ return Compare_y_2(); }
typedef CGALi::Compare_xy Compare_xy_2;
Compare_xy_2
compare_xy_2_object() const
{ return Compare_xy_2(); }
typedef CGALi::Compare_y_at_x Compare_y_at_x_2;
Compare_y_at_x_2
compare_y_at_x_2_object() const
{ return Compare_y_at_x_2(); }
typedef CGAL ::p_Less_dist_to_point<Point_2> Less_distance_to_point_2;
Less_distance_to_point_2
less_distance_to_point_2_object(const Point_2& p) const
{ return Less_distance_to_point_2(p); }
typedef CGAL ::p_Less_dist_to_line_2p<Point_2> Less_signed_distance_to_line_2;
Less_signed_distance_to_line_2
less_signed_distance_to_line_2_object(const Point_2& p,
const Point_2& q) const
{ return Less_signed_distance_to_line_2(p,q); }
typedef CGAL ::p_Less_rotate_ccw<Point_2> Less_rotate_ccw_2;
Less_rotate_ccw_2
less_rotate_ccw_2(const Point_2& p) const
{ return Less_rotate_ccw_2(p); }
typedef CGALi::Counterclockwise_in_between Counterclockwise_in_between_2;
Counterclockwise_in_between_2
counterclockwise_in_between_2_object() const
{ return Counterclockwise_in_between_2(); }
typedef CGAL ::p_Leftturn<Point_2> Leftturn_2;
Leftturn_2
leftturn_2_object() const
{ return Leftturn_2(); }
typedef CGAL ::p_Left_of_line_2p<Point_2> Left_of_line_2;
Left_of_line_2
left_of_line_2_object(const Point_2& p, const Point_2& q) const
{ return Left_of_line_2(p,q); }
typedef CGALi::Collinear Collinear_2;
Collinear_2
collinear_2_object() const
{ return Collinear_2(); }
typedef CGAL ::p_Orientation<Point_2> Orientation_2;
Orientation_2
orientation_2_object() const
{ return Orientation_2(); }
typedef CGALi::Side_of_oriented_circle Side_of_oriented_circle_2;
Side_of_oriented_circle_2
side_of_oriented_circle_2_object() const
{ return Side_of_oriented_circle_2(); }
typedef CGALi::Side_of_bounded_circle Side_of_bounded_circle_2;
Side_of_bounded_circle_2
side_of_bounded_circle_2_object() const
{ return Side_of_bounded_circle_2(); }
typedef CGALi::Call_is_horizontal Is_horizontal_2;
Is_horizontal_2
is_horizontal_2_object() const
{ return Is_horizontal_2(); }
typedef CGALi::Call_is_vertical Is_vertical_2;
Is_vertical_2
is_vertical_2_object() const
{ return Is_vertical_2(); }
typedef CGALi::Call_is_degenerate Is_degenerate_2;
Is_degenerate_2
is_degenerate_2_object() const
{ return Is_degenerate_2(); }
typedef CGALi::Call_has_on Has_on_2;
Has_on_2
has_on_2_object() const
{ return Has_on_2(); }
typedef CGALi::Call_collinear_has_on Collinear_has_on_2;
Collinear_has_on_2
collinear_has_on_2_object() const
{ return Collinear_has_on_2(); }
typedef CGALi::Call_has_on_bounded_side Has_on_bounded_side_2;
Has_on_bounded_side_2
has_on_bounded_side_2_object() const
{ return Has_on_bounded_side_2(); }
typedef CGALi::Call_has_on_unbounded_side Has_on_unbounded_side_2;
Has_on_unbounded_side_2
has_on_unbounded_side_2_object() const
{ return Has_on_unbounded_side_2(); }
typedef CGALi::Call_has_on_boundary Has_on_boundary_2;
Has_on_boundary_2
has_on_boundary_2_object() const
{ return Has_on_boundary_2(); }
typedef CGALi::Call_has_on_positive_side Has_on_positive_side_2;
Has_on_positive_side_2
has_on_positive_side_2_object() const
{ return Has_on_positive_side_2(); }
typedef CGALi::Call_has_on_negative_side Has_on_negative_side_2;
Has_on_negative_side_2
has_on_negative_side_2_object() const
{ return Has_on_negative_side_2(); }
typedef CGALi::Call_oriented_side Oriented_side_2;
Oriented_side_2
oriented_side_2_object() const
{ return Oriented_side_2(); }
typedef CGALi::Are_ordered_along_line Are_ordered_along_line_2 ;
Are_ordered_along_line_2
are_ordered_along_line_2_object() const
{ return Are_ordered_along_line_2(); }
typedef CGALi::Are_strictly_ordered_along_line
Are_strictly_ordered_along_line_2;
Are_strictly_ordered_along_line_2
are_strictly_ordered_along_line_2_object() const
{ return Are_strictly_ordered_along_line_2(); }
typedef CGALi::Collinear_are_ordered_along_line
Collinear_are_ordered_along_line_2;
Collinear_are_ordered_along_line_2
collinear_are_ordered_along_line_2_object() const
{ return Collinear_are_ordered_along_line_2(); }
typedef CGALi::Collinear_are_strictly_ordered_along_line
Collinear_are_strictly_ordered_along_line_2;
Collinear_are_strictly_ordered_along_line_2
collinear_are_strictly_ordered_along_line_2_object() const
{ return Collinear_are_strictly_ordered_along_line_2(); }
};
CGAL_END_NAMESPACE
#endif // CGAL_CARTESIAN_2_H
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