// Copyright (c) 2000 Utrecht University (The Netherlands), // ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany), // INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg // (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria), // and Tel-Aviv University (Israel). All rights reserved. // // This file is part of CGAL (www.cgal.org); you can redistribute it and/or // modify it under the terms of the GNU Lesser General Public License as // published by the Free Software Foundation; version 2.1 of the License. // See the file LICENSE.LGPL distributed with CGAL. // // Licensees holding a valid commercial license may use this file in // accordance with the commercial license agreement provided with the software. // // This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE // WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. // // $Source$ // $Revision$ $Date$ // $Name$ // // Author(s) : Andreas Fabri #ifndef CGAL_CARTESIAN_LINE_3_H #define CGAL_CARTESIAN_LINE_3_H #include CGAL_BEGIN_NAMESPACE template < class R_ > class LineC3 { typedef typename R_::RT RT; typedef typename R_::Point_3 Point_3; typedef typename R_::Vector_3 Vector_3; typedef typename R_::Direction_3 Direction_3; typedef typename R_::Plane_3 Plane_3; typedef typename R_::Ray_3 Ray_3; typedef typename R_::Line_3 Line_3; typedef typename R_::Segment_3 Segment_3; typedef typename R_::Aff_transformation_3 Aff_transformation_3; typedef std::pair Rep; typedef typename R_::template Handle::type Base; Base base; public: typedef R_ R; LineC3() {} LineC3(const Point_3 &p, const Point_3 &q) { *this = R().construct_line_3_object()(p, q); } LineC3(const Segment_3 &s) { *this = R().construct_line_3_object()(s); } LineC3(const Ray_3 &r) { *this = R().construct_line_3_object()(r); } LineC3(const Point_3 &p, const Vector_3 &v) : base(p, v) {} LineC3(const Point_3 &p, const Direction_3 &d) { *this = R().construct_line_3_object()(p, d); } bool operator==(const LineC3 &l) const; bool operator!=(const LineC3 &l) const; Plane_3 perpendicular_plane(const Point_3 &p) const; Line_3 opposite() const; const Point_3 & point() const { return get(base).first; } const Vector_3 & to_vector() const { return get(base).second; } Direction_3 direction() const { return Direction_3(to_vector()); } Point_3 point(int i) const; Point_3 projection(const Point_3 &p) const; bool has_on(const Point_3 &p) const; bool is_degenerate() const; Line_3 transform(const Aff_transformation_3 &t) const { return LineC3(t.transform(point()), t.transform(direction())); } }; template < class R > inline bool LineC3::operator==(const LineC3 &l) const { if (CGAL::identical(base, l.base)) return true; return has_on(l.point()) && (direction() == l.direction()); } template < class R > inline bool LineC3::operator!=(const LineC3 &l) const { return !(*this == l); } template < class R > inline typename LineC3::Point_3 LineC3::point(int i) const { return point() + to_vector()*RT(i); } template < class R > inline typename LineC3::Plane_3 LineC3:: perpendicular_plane(const typename LineC3::Point_3 &p) const { return Plane_3(p, to_vector()); } template < class R > inline typename LineC3::Line_3 LineC3::opposite() const { return Line_3(point(), -to_vector()); } template < class R > inline typename LineC3::Point_3 LineC3:: projection(const typename LineC3::Point_3 &p) const { return R().construct_projected_point_3_object()(*this, p); } template < class R > inline bool LineC3:: has_on(const typename LineC3::Point_3 &p) const { return collinear(point(), point()+to_vector(), p); } template < class R > inline bool LineC3::is_degenerate() const { // FIXME : predicate return to_vector() == NULL_VECTOR; } #ifndef CGAL_CARTESIAN_NO_OSTREAM_INSERT_LINEC3 template < class R > std::ostream & operator<<(std::ostream &os, const LineC3 &l) { switch(os.iword(IO::mode)) { case IO::ASCII : return os << l.point(0) << ' ' << l.point(1); case IO::BINARY : return os << l.point(0) << l.point(1); default: return os << "LineC3(" << l.point(0) << ", " << l.point(1) << ")"; } } #endif // CGAL_CARTESIAN_NO_OSTREAM_INSERT_LINEC3 #ifndef CGAL_CARTESIAN_NO_ISTREAM_EXTRACT_LINEC3 template < class R > std::istream & operator>>(std::istream &is, LineC3 &l) { typename R::Point_3 p, q; is >> p >> q; if (is) l = LineC3(p, q); return is; } #endif // CGAL_CARTESIAN_NO_ISTREAM_EXTRACT_LINEC3 CGAL_END_NAMESPACE #endif // CGAL_CARTESIAN_LINE_3_H