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// Copyright (c) 2000 // Utrecht University (The Netherlands), // ETH Zurich (Switzerland), // INRIA Sophia-Antipolis (France), // Max-Planck-Institute Saarbruecken (Germany), // and Tel-Aviv University (Israel). All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Cartesian_kernel/include/CGAL/Cartesian/Line_3.h $ // $Id: include/CGAL/Cartesian/Line_3.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Andreas Fabri #ifndef CGAL_CARTESIAN_LINE_3_H #define CGAL_CARTESIAN_LINE_3_H #include namespace CGAL { template < class R_ > class LineC3 { typedef typename R_::Boolean Boolean; typedef typename R_::FT FT; 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; struct Rep { Point_3 first; Vector_3 second; Rep () : first(), second() { } Rep (const Point_3& p, const Vector_3& v) : first(p), second(v) { } }; 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); } explicit LineC3(const Segment_3 &s) { *this = R().construct_line_3_object()(s); } explicit 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); } typename R::Boolean operator==(const LineC3 &l) const; typename R::Boolean 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_pointee_or_identity(base).first; } const Vector_3 & to_vector() const { return get_pointee_or_identity(base).second; } Direction_3 direction() const { return Direction_3(to_vector()); } Point_3 point(const FT i) const; Boolean has_on(const Point_3 &p) const; Boolean is_degenerate() const; }; template < class R > inline typename R::Boolean 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 typename R::Boolean LineC3::operator!=(const LineC3 &l) const { return !(*this == l); } template < class R > inline typename LineC3::Point_3 LineC3::point(const FT i) const { return point() + i * to_vector(); } 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 R::Boolean LineC3:: has_on(const typename LineC3::Point_3 &p) const { return collinear(point(), point()+to_vector(), p); } template < class R > inline typename R::Boolean LineC3::is_degenerate() const { return to_vector() == NULL_VECTOR; } } //namespace CGAL #endif // CGAL_CARTESIAN_LINE_3_H