// ============================================================================ // // Copyright (c) 1999 The CGAL Consortium // // // // // // ---------------------------------------------------------------------------- // release : // release_date : // // file : include/CGAL/homogeneous_rep.h // revision : $Revision$ // revision_date : $Date$ // author(s) : Stefan Schirra // // coordinator : MPI, Saarbruecken // ============================================================================ #ifndef CGAL_HOMOGENEOUS_REP_H #define CGAL_HOMOGENEOUS_REP_H #define CGAL_REP_CLASS_DEFINED #ifndef CGAL_QUOTIENT_H #include #endif // CGAL_QUOTIENT_H #include #include #include #include namespace CGAL { template < class FT_, class RT_ > class Data_accessorH2 { public: typedef FT_ FT; typedef RT_ RT; typedef PointH2 Point; RT get_hx( Point const& p) const { return( p.hx()); } RT get_hy( Point const& p) const { return( p.hy()); } RT get_hw( Point const& p) const { return( p.hw()); } void get( Point const& p, RT& hx, RT& hy, RT& hw) const { hx = get_hx( p); hy = get_hy( p); hw = get_hw( p); } void set( Point& p, RT const& hx, RT const& hy, RT const& hw) const { p = Point( hx, hy, hw); } }; template class Homogeneous_base { public: typedef RT_ RT; typedef FT_ FT; typedef CGAL::Object Object_2; typedef CGAL::Point_2< R_, Old_style_tag > Point_2; typedef CGAL::Vector_2< R_, Old_style_tag > Vector_2; typedef CGAL::Direction_2< R_, Old_style_tag > Direction_2; typedef CGAL::Segment_2< R_, Old_style_tag > Segment_2; typedef CGAL::Line_2< R_, Old_style_tag > Line_2; typedef CGAL::Ray_2< R_, Old_style_tag > Ray_2; typedef CGAL::Circle_2< R_, Old_style_tag > Circle_2; typedef CGAL::Triangle_2< R_, Old_style_tag > Triangle_2; typedef CGAL::Iso_rectangle_2< R_, Old_style_tag > Iso_rectangle_2; typedef CGAL::Aff_transformation_2< R_, Old_style_tag > Aff_transformation_2; typedef CGAL::Object Object_3; typedef CGAL::Point_3< R_, Old_style_tag > Point_3; typedef CGAL::Vector_3< R_, Old_style_tag > Vector_3; typedef CGAL::Direction_3< R_, Old_style_tag > Direction_3; typedef CGAL::Segment_3< R_, Old_style_tag > Segment_3; typedef CGAL::Plane_3< R_, Old_style_tag> Plane_3; typedef CGAL::Line_3< R_, Old_style_tag > Line_3; typedef CGAL::Ray_3< R_, Old_style_tag > Ray_3; typedef CGAL::Triangle_3< R_, Old_style_tag > Triangle_3; typedef CGAL::Tetrahedron_3< R_, Old_style_tag > Tetrahedron_3; typedef CGAL::Iso_cuboid_3< R_, Old_style_tag > Iso_cuboid_3; typedef CGAL::Aff_transformation_3< R_, Old_style_tag > Aff_transformation_3; // we have: template CGAL::Point_d : public R::Point_d_base typedef CGAL::Point_d< R_ > Point_d; }; template > class Homogeneous : public Homogeneous_base< Homogeneous, RT_, FT_ > { public: typedef RT_ RT; typedef FT_ FT; typedef Old_style_tag Rep_tag; typedef PointH2< FT, RT> Point_2_base; typedef VectorH2< FT, RT> Vector_2_base; typedef DirectionH2< FT, RT> Direction_2_base; typedef SegmentH2< FT, RT> Segment_2_base; typedef LineH2< FT, RT> Line_2_base; typedef RayH2< FT, RT> Ray_2_base; typedef CircleH2< FT, RT> Circle_2_base; typedef TriangleH2< FT, RT> Triangle_2_base; typedef Iso_rectangleH2< FT, RT> Iso_rectangle_2_base; typedef Aff_transformationH2< FT, RT> Aff_transformation_2_base; typedef Homogeneous_base< Homogeneous, RT_, FT_ > KernelBase; typedef typename KernelBase::Point_2 Point_2; typedef typename KernelBase::Vector_2 Vector_2; typedef typename KernelBase::Direction_2 Direction_2; typedef typename KernelBase::Line_2 Line_2; typedef typename KernelBase::Segment_2 Segment_2; typedef typename KernelBase::Ray_2 Ray_2; typedef typename KernelBase::Circle_2 Circle_2; typedef typename KernelBase::Triangle_2 Triangle_2; typedef typename KernelBase::Iso_rectangle_2 Iso_rectangle_2; typedef typename KernelBase::Aff_transformation_2 Aff_transformation_2; typedef CGALi::Construct Construct_point_2; typedef CGALi::Construct Construct_vector_2; typedef CGALi::Construct Construct_direction_2; typedef CGALi::Construct Construct_segment_2; typedef CGALi::Construct Construct_line_2; typedef CGALi::Construct Construct_ray_2; typedef CGALi::Construct Construct_circle_2; typedef CGALi::Construct Construct_triangle_2; typedef CGALi::Construct Construct_iso_rectangle_2; typedef CGALi::Construct 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 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 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 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 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 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 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 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 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 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 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 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 Construct_perpendicular_line_2; Construct_perpendicular_line_2 construct_perpendicular_line_2_object() const { return Construct_perpendicular_line_2(); } typedef CGALi::p_Midpoint Construct_midpoint; Construct_midpoint construct_midpoint_object() const { return Construct_midpoint(); } typedef CGALi::p_Circumcenter Construct_circumcenter_2; Construct_circumcenter_2 construct_circumcenter_2_object() const { return Construct_circumcenter_2(); } typedef CGALi::pl_Bisector Construct_bisector_2; Construct_bisector_2 construct_bisector_2_object() const { return Construct_bisector_2(); } typedef CGALi::Call_opposite_to_get 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 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 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 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 Construct_opposite_circle_2; Construct_opposite_circle_2 construct_opposite_circle_2_object() const { return Construct_opposite_circle_2(); } typedef CGALi::Call_transform Transform_2; Transform_2 transform_2_object() const { return Transform_2(); } typedef CGALi::Assign Assign_2; Assign_2 assign_2_object() const { return Assign_2(); } typedef CGALi::Intersect Intersect_2; Intersect_2 intersect_2_object() const { return Intersect_2(); } typedef CGALi::Call_y_at_x_to_get Compute_y_at_x; Compute_y_at_x compute_y_at_x_object() const { return Compute_y_at_x(); } typedef CGALi::Call_squared_length_to_get 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 Less_xy_2; Less_xy_2 less_xy_2_object() const { return Less_xy_2(); } typedef CGAL::p_Less_yx Less_yx_2; Less_yx_2 less_yx_2_object() const { return Less_yx_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 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 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 Less_rotate_ccw_2; Less_rotate_ccw_2 less_rotate_ccw_2_object(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 Leftturn_2; Leftturn_2 leftturn_2_object() const { return Leftturn_2(); } typedef CGAL ::p_Left_of_line_2p 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 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(); } typedef PointH3< FT, RT> Point_3_base; typedef VectorH3< FT, RT> Vector_3_base; typedef DirectionH3< FT, RT> Direction_3_base; typedef SegmentH3< FT, RT> Segment_3_base; typedef PlaneH3< FT, RT> Plane_3_base; typedef LineH3< FT, RT> Line_3_base; typedef RayH3< FT, RT> Ray_3_base; typedef TriangleH3< FT, RT> Triangle_3_base; typedef TetrahedronH3< FT, RT> Tetrahedron_3_base; typedef Iso_cuboidH3< FT, RT> Iso_cuboid_3_base; typedef Aff_transformationH3< FT, RT> Aff_transformation_3_base; typedef typename KernelBase::Point_3 Point_3; typedef typename KernelBase::Vector_3 Vector_3; typedef typename KernelBase::Direction_3 Direction_3; typedef typename KernelBase::Plane_3 Plane_3; typedef typename KernelBase::Line_3 Line_3; typedef typename KernelBase::Segment_3 Segment_3; typedef typename KernelBase::Ray_3 Ray_3; typedef typename KernelBase::Triangle_3 Triangle_3; typedef typename KernelBase::Tetrahedron_3 Tetrahedron_3; typedef typename KernelBase::Iso_cuboid_3 Iso_cuboid_3; typedef typename KernelBase::Aff_transformation_3 Aff_transformation_3; typedef CGALi::Construct Construct_point_3; typedef CGALi::Construct Construct_vector_3; typedef CGALi::Construct Construct_direction_3; typedef CGALi::Construct Construct_segment_3; typedef CGALi::Construct Construct_plane_3; typedef CGALi::Construct Construct_line_3; typedef CGALi::Construct Construct_ray_3; typedef CGALi::Construct Construct_triangle_3; typedef CGALi::Construct Construct_tetrahedron_3; typedef CGALi::Construct Construct_iso_cuboid_3; typedef CGALi::Construct Construct_aff_transformation_3; Construct_point_3 construct_point_3_object() const { return Construct_point_3(); } Construct_vector_3 construct_vector_3_object() const { return Construct_vector_3(); } Construct_direction_3 construct_direction_3_object() const { return Construct_direction_3(); } Construct_segment_3 construct_segment_3_object() const { return Construct_segment_3(); } Construct_plane_3 construct_plane_3_object() const { return Construct_plane_3(); } Construct_line_3 construct_line_3_object() const { return Construct_line_3(); } Construct_ray_3 construct_ray_3_object() const { return Construct_ray_3(); } Construct_triangle_3 construct_triangle_3_object() const { return Construct_triangle_3(); } Construct_tetrahedron_3 construct_tetrahedron_3_object() const { return Construct_tetrahedron_3(); } Construct_iso_cuboid_3 construct_iso_cuboid_3_object() const { return Construct_iso_cuboid_3(); } Construct_aff_transformation_3 construct_aff_transformation_3_object() const { return Construct_aff_transformation_3(); } typedef CGALi::Call_point_to_get Construct_point_on_3; Construct_point_on_3 construct_point_on_3_object() const { return Construct_point_on_3(); } typedef CGALi::Call_second_point_to_get Construct_second_point_on_3; Construct_second_point_on_3 construct_second_point_on_3_object() const { return Construct_second_point_on_3(); } typedef CGALi::Call_perpendicular_plane_to_get Construct_perpendicular_plane_3; Construct_perpendicular_plane_3 construct_perpendicular_plane_3() const { return Construct_perpendicular_plane_3(); } typedef CGALi::p_Midpoint Construct_midpoint_3; Construct_midpoint_3 construct_midpoint_3_object() const { return Construct_midpoint_3(); } typedef CGALi::Call_opposite_to_get Construct_opposite_segment_3; Construct_opposite_segment_3 construct_opposite_segment_3_object() const { return Construct_opposite_segment_3(); } typedef CGALi::Call_opposite_to_get Construct_opposite_ray_3; Construct_opposite_ray_3 construct_opposite_ray_3_object() const { return Construct_opposite_ray_3(); } typedef CGALi::Call_opposite_to_get Construct_opposite_line_3; Construct_opposite_line_3 construct_opposite_line_3_object() const { return Construct_opposite_line_3(); } typedef CGALi::Call_supporting_plane_to_get Construct_supporting_plane_3; Construct_supporting_plane_3 construct_supporting_plane_3_object() const { return Construct_supporting_plane_3(); } typedef CGALi::Call_transform Transform_3; Transform_3 transform_3_object() const { return Transform_2(); } typedef CGALi::Assign Assign_3; Assign_3 assign_3_object() const { return Assign_3(); } typedef CGALi::Intersect Intersect_3; Intersect_3 intersect_3_object() const { return Intersect_3(); } typedef CGALi::Call_squared_length_to_get Compute_squared_length_3; Compute_squared_length_3 compute_squared_length_3_object() const { return Compute_squared_length_3(); } typedef CGALi::Equal Equal_3; Equal_3 equal_3_object() const { return Equal_3(); } typedef CGALi::Equal_x Equal_x_3; Equal_x_3 equal_x_3_object() const { return Equal_x_3(); } typedef CGALi::Equal_y Equal_y_3; Equal_y_3 equal_y_3_object() const { return Equal_y_3(); } typedef CGALi::Equal_z Equal_z_3; Equal_z_3 equal_z_3_object() const { return Equal_z_3(); } typedef CGALi::Equal_xy Equal_xy_3; Equal_xy_3 equal_xy_3_object() const { return Equal_xy_3(); } typedef CGALi::Equal_xyz Equal_xyz_3; Equal_xyz_3 equal_xyz_3_object() const { return Equal_xyz_3(); } typedef CGALi::Less_x Less_x_3; Less_x_3 less_x_3_object() const { return Less_x_3(); } typedef CGALi::Less_y Less_y_3; Less_y_3 less_y_3_object() const { return Less_y_3(); } typedef CGALi::Less_z Less_z_3; Less_z_3 less_z_3_object() const { return Less_z_3(); } typedef CGAL::p_Less_xy Less_xy_3; Less_xy_3 less_xy_3_object() const { return Less_xy_3(); } typedef CGALi::Less_xyz Less_xyz_3; Less_xyz_3 less_xyz_3_object() const { return Less_xyz_3(); } typedef CGALi::Compare_x Compare_x_3; Compare_x_3 compare_x_3_object() const { return Compare_x_3(); } typedef CGALi::Compare_y Compare_y_3; Compare_y_3 compare_y_3_object() const { return Compare_y_3(); } typedef CGALi::Compare_z Compare_z_3; Compare_z_3 compare_z_3_object() const { return Compare_z_3(); } typedef CGALi::Compare_xy Compare_xy_3; Compare_xy_3 compare_xy_3_object() const { return Compare_xy_3(); } typedef CGALi::Compare_xyz Compare_xyz_3; Compare_xyz_3 compare_xyz_3_object() const { return Compare_xyz_3(); } typedef CGAL ::p_Less_dist_to_point Less_distance_to_point_3; Less_distance_to_point_3 less_distance_to_point_3_object(const Point_3& p) const { return Less_distance_to_point_3(p); } typedef CGALi::Collinear Collinear_3; Collinear_3 collinear_3_object() const { return Collinear_3(); } typedef CGALi::Coplanar Coplanar_3 ; Coplanar_3 coplanar_3_object() const { return Coplanar_3(); } typedef CGAL ::p_Orientation Orientation_3; Orientation_3 orientation_3_object() const { return Orientation_3(); } typedef CGALi::Call_is_degenerate Is_degenerate_3; Is_degenerate_3 is_degenerate_3_object() const { return Is_degenerate_3(); } typedef CGALi::Call_has_on Has_on_3; Has_on_3 has_on_3_object() const { return Has_on_3(); } typedef CGALi::Call_has_on_bounded_side Has_on_bounded_side_3; Has_on_bounded_side_3 has_on_bounded_side_3_object() const { return Has_on_bounded_side_3(); } typedef CGALi::Call_has_on_unbounded_side Has_on_unbounded_side_3; Has_on_unbounded_side_3 has_on_unbounded_side_3_object() const { return Has_on_unbounded_side_3(); } typedef CGALi::Call_has_on_boundary Has_on_boundary_3; Has_on_boundary_3 has_on_boundary_3_object() const { return Has_on_boundary_3(); } typedef CGALi::Call_has_on_positive_side Has_on_positive_side_3; Has_on_positive_side_3 has_on_positive_side_3_object() const { return Has_on_positive_side_3(); } typedef CGALi::Call_has_on_negative_side Has_on_negative_side_3; Has_on_negative_side_3 has_on_negative_side_3_object() const { return Has_on_negative_side_3(); } typedef CGALi::Call_oriented_side Oriented_side_3; Oriented_side_3 oriented_side_3_object() const { return Oriented_side_3(); } typedef CGALi::Are_ordered_along_line Are_ordered_along_line_3 ; Are_ordered_along_line_3 are_ordered_along_line_3_object() const { return Are_ordered_along_line_3(); } typedef CGALi::Are_strictly_ordered_along_line Are_strictly_ordered_along_line_3; Are_strictly_ordered_along_line_3 are_strictly_ordered_along_line_3_object() const { return Are_strictly_ordered_along_line_3(); } typedef CGALi::Collinear_are_ordered_along_line Collinear_are_ordered_along_line_3; Collinear_are_ordered_along_line_3 collinear_are_ordered_along_line_3_object() const { return Collinear_are_ordered_along_line_3(); } typedef CGALi::Collinear_are_strictly_ordered_along_line Collinear_are_strictly_ordered_along_line_3; Collinear_are_strictly_ordered_along_line_3 collinear_are_strictly_ordered_along_line_3_object() const { return Collinear_are_strictly_ordered_along_line_3(); } typedef CGALi::Side_of_oriented_sphere Side_of_oriented_sphere_3; Side_of_oriented_sphere_3 side_of_oriented_sphere_3_object() const { return Side_of_oriented_sphere_3(); } typedef CGALi::Side_of_bounded_sphere Side_of_bounded_sphere_3; Side_of_bounded_sphere_3 side_of_bounded_sphere_3_object() const { return Side_of_bounded_sphere_3(); } typedef PointHd< FT, RT> Point_d_base; typedef typename KernelBase::Point_d Point_d; typedef CGALi::Construct Construct_point_d; Construct_point_d construct_point_d_object() const { return Construct_point_d(); } typedef Data_accessorH2 Data_accessor_2; typedef ConicHPA2 Conic_2; static FT makeFT_(const RT & num, const RT& denom) { return FT(num, denom); } static FT makeFT_(const RT & num) { return FT(num); } static RT FT_numerator(const FT &r) { return r.numerator(); } static RT FT_denominator(const FT &r) { return r.denominator(); } }; } // namespace CGAL #endif // CGAL_HOMOGENEOUS_REP_H