mirror of https://github.com/CGAL/cgal
334 lines
8.0 KiB
C++
334 lines
8.0 KiB
C++
// Copyright (c) 2000 Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
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// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
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// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; version 2.1 of the License.
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// See the file LICENSE.LGPL distributed with CGAL.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $Source$
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// $Revision$ $Date$
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// $Name$
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//
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// Author(s) : Andreas Fabri, Herve Bronnimann
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#ifndef CGAL_CARTESIAN_LINE_2_H
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#define CGAL_CARTESIAN_LINE_2_H
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#include <CGAL/Threetuple.h>
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#include <CGAL/predicates/kernel_ftC2.h>
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CGAL_BEGIN_NAMESPACE
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template < class R_ >
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class LineC2
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{
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typedef typename R_::FT FT;
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typedef typename R_::Point_2 Point_2;
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typedef typename R_::Direction_2 Direction_2;
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typedef typename R_::Vector_2 Vector_2;
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typedef typename R_::Ray_2 Ray_2;
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typedef typename R_::Segment_2 Segment_2;
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typedef typename R_::Line_2 Line_2;
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typedef typename R_::Aff_transformation_2 Aff_transformation_2;
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typedef Threetuple<FT> Rep;
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typedef typename R_::template Handle<Rep>::type Base;
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Base base;
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public:
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typedef R_ R;
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LineC2() {}
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LineC2(const Point_2 &p, const Point_2 &q)
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{ *this = R().construct_line_2_object()(p, q); }
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LineC2(const FT &a, const FT &b, const FT &c)
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: base(a, b, c) {}
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LineC2(const Segment_2 &s)
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{ *this = R().construct_line_2_object()(s); }
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LineC2(const Ray_2 &r)
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{ *this = R().construct_line_2_object()(r); }
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LineC2(const Point_2 &p, const Direction_2 &d)
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{ *this = R().construct_line_2_object()(p, d); }
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LineC2(const Point_2 &p, const Vector_2 &v)
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{ *this = R().construct_line_2_object()(p, v); }
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bool operator==(const LineC2 &l) const;
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bool operator!=(const LineC2 &l) const;
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const FT & a() const
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{
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return get(base).e0;
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}
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const FT & b() const
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{
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return get(base).e1;
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}
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const FT & c() const
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{
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return get(base).e2;
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}
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FT x_at_y(const FT &y) const;
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FT y_at_x(const FT &x) const;
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Line_2 perpendicular(const Point_2 &p) const;
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Line_2 opposite() const;
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Point_2 point(int i) const;
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Point_2 point() const;
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Point_2 projection(const Point_2 &p) const;
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Direction_2 direction() const;
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Vector_2 to_vector() const;
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Oriented_side oriented_side(const Point_2 &p) const;
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bool has_on_boundary(const Point_2 &p) const;
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bool has_on_positive_side(const Point_2 &p) const;
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bool has_on_negative_side(const Point_2 &p) const;
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bool has_on(const Point_2 &p) const { return has_on_boundary(p); }
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bool is_horizontal() const;
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bool is_vertical() const;
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bool is_degenerate() const;
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Line_2 transform(const Aff_transformation_2 &t) const
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{
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return LineC2<R>(t.transform(point(0)),
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t.transform(direction()));
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}
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};
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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LineC2<R>::operator==(const LineC2<R> &l) const
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{
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if (CGAL::identical(base, l.base))
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return true;
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return equal_lineC2(a(), b(), c(), l.a(), l.b(), l.c());
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}
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template < class R >
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inline
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bool
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LineC2<R>::operator!=(const LineC2<R> &l) const
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{
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return ! (*this == l);
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}
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template < class R >
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inline
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bool
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LineC2<R>::is_horizontal() const
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{ // FIXME : predicate
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return CGAL_NTS is_zero(a());
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}
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template < class R >
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inline
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bool
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LineC2<R>::is_vertical() const
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{ // FIXME : predicate
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return CGAL_NTS is_zero(b());
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename LineC2<R>::FT
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LineC2<R>::x_at_y(const typename LineC2<R>::FT &y) const
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{
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CGAL_kernel_precondition_msg( ! is_horizontal(),
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"Line::x_at_y(FT y) is undefined for horizontal line");
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return line_x_at_y(*this, y);
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename LineC2<R>::FT
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LineC2<R>::y_at_x(const typename LineC2<R>::FT &x) const
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{
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CGAL_kernel_precondition_msg( ! is_vertical(),
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"Line::y_at_x(FT x) is undefined for vertical line");
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return line_y_at_x(*this, x);
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}
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template < class R >
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inline
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typename LineC2<R>::Line_2
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LineC2<R>::
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perpendicular(const typename LineC2<R>::Point_2 &p) const
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{
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typename R::FT fta, ftb, ftc;
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perpendicular_through_pointC2(a(), b(), p.x(), p.y(), fta, ftb, ftc);
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return Line_2(fta, ftb, ftc);
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}
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template < class R >
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inline
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typename LineC2<R>::Line_2
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LineC2<R>::opposite() const
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{
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return LineC2<R>( -a(), -b(), -c() );
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename LineC2<R>::Point_2
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LineC2<R>::point(int i) const
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{
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typename R::FT x, y;
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typename R::Construct_point_2 construct_point_2;
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line_get_pointC2(a(), b(), c(), i, x, y);
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return construct_point_2(x,y);
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename LineC2<R>::Point_2
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LineC2<R>::point() const
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{
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typename R::FT x, y;
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typename R::Construct_point_2 construct_point_2;
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line_get_pointC2(a(), b(), c(), 0, x, y);
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return construct_point_2(x,y);
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}
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template < class R >
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CGAL_KERNEL_MEDIUM_INLINE
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typename LineC2<R>::Point_2
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LineC2<R>::
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projection(const typename LineC2<R>::Point_2 &p) const
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{
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typename R::FT x, y;
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typename R::Construct_point_2 construct_point_2;
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line_project_pointC2(a(), b(), c(), p.x(), p.y(), x, y);
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return construct_point_2(x, y);
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}
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template < class R >
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inline
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typename LineC2<R>::Direction_2
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LineC2<R>::direction() const
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{
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return Direction_2( b(), -a() );
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}
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template < class R >
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inline
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typename LineC2<R>::Vector_2
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LineC2<R>::to_vector() const
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{
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return Vector_2( b(), -a() );
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}
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template < class R >
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CGAL_KERNEL_INLINE
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Oriented_side
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LineC2<R>::
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oriented_side(const typename LineC2<R>::Point_2 &p) const
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{
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return side_of_oriented_lineC2(a(), b(), c(), p.x(), p.y());
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}
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template < class R >
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inline
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bool
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LineC2<R>::
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has_on_boundary(const typename LineC2<R>::Point_2 &p) const
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{
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return oriented_side(p) == ON_ORIENTED_BOUNDARY;
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}
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template < class R >
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inline
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bool
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LineC2<R>::
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has_on_positive_side(const typename LineC2<R>::Point_2 &p) const
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{
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return oriented_side(p) == ON_POSITIVE_SIDE;
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}
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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LineC2<R>::
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has_on_negative_side(const typename LineC2<R>::Point_2 &p) const
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{
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return oriented_side(p) == ON_NEGATIVE_SIDE;
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}
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template < class R >
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inline
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bool
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LineC2<R>::is_degenerate() const
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{
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return is_horizontal() && is_vertical();
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}
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#ifndef CGAL_NO_OSTREAM_INSERT_LINEC2
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template < class R >
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std::ostream &
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operator<<(std::ostream &os, const LineC2<R> &l)
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{
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switch(os.iword(IO::mode)) {
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case IO::ASCII :
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return os << l.a() << ' ' << l.b() << ' ' << l.c();
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case IO::BINARY :
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write(os, l.a());
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write(os, l.b());
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write(os, l.c());
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return os;
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default:
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return os << "LineC2(" << l.a()
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<< ", " << l.b() << ", " << l.c() <<')';
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}
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}
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#endif // CGAL_NO_OSTREAM_INSERT_LINEC2
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#ifndef CGAL_NO_ISTREAM_EXTRACT_LINEC2
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template < class R >
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std::istream &
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operator>>(std::istream &is, LineC2<R> &l)
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{
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typename R::FT a, b, c;
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switch(is.iword(IO::mode)) {
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case IO::ASCII :
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is >> a >> b >> c;
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break;
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case IO::BINARY :
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read(is, a);
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read(is, b);
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read(is, c);
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break;
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default:
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std::cerr << "" << std::endl;
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std::cerr << "Stream must be in ascii or binary mode" << std::endl;
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break;
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}
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if (is)
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l = LineC2<R>(a, b, c);
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_LINEC2
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CGAL_END_NAMESPACE
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#endif // CGAL_CARTESIAN_LINE_2_H
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