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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/Triangle_3.h $ // $Id: include/CGAL/Cartesian/Triangle_3.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Andreas Fabri #ifndef CGAL_CARTESIAN_TRIANGLE_3_H #define CGAL_CARTESIAN_TRIANGLE_3_H #include #include namespace CGAL { template class TriangleC3 { 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_::Plane_3 Plane_3; typedef typename R_::Triangle_3 Triangle_3; typedef std::array Rep; typedef typename R_::template Handle::type Base; Base base; public: typedef R_ R; TriangleC3() {} TriangleC3(const Point_3 &p, const Point_3 &q, const Point_3 &r) : base{p, q, r} {} Boolean operator==(const TriangleC3 &t) const; Boolean operator!=(const TriangleC3 &t) const; Plane_3 supporting_plane() const; Boolean has_on(const Point_3 &p) const; Boolean is_degenerate() const; const Point_3 & vertex(int i) const; const Point_3 & operator[](int i) const; FT squared_area() const; }; template < class R > typename R::Boolean TriangleC3::operator==(const TriangleC3 &t) const { if (CGAL::identical(base, t.base)) return true; int i; for(i=0; i<3; i++) if ( vertex(0) == t.vertex(i) ) break; return (i<3) && vertex(1) == t.vertex(i+1) && vertex(2) == t.vertex(i+2); } template < class R > inline typename R::Boolean TriangleC3::operator!=(const TriangleC3 &t) const { return !(*this == t); } template < class R > const typename TriangleC3::Point_3 & TriangleC3::vertex(int i) const { if (i<0) i=(i%3)+3; else if (i>2) i=i%3; return (i==0) ? get_pointee_or_identity(base)[0] : (i==1) ? get_pointee_or_identity(base)[1] : get_pointee_or_identity(base)[2]; } template < class R > inline const typename TriangleC3::Point_3 & TriangleC3::operator[](int i) const { return vertex(i); } template < class R > CGAL_KERNEL_MEDIUM_INLINE typename TriangleC3::FT TriangleC3::squared_area() const { return internal::squared_area(vertex(0), vertex(1), vertex(2), R()); } template < class R > inline typename TriangleC3::Plane_3 TriangleC3::supporting_plane() const { return Plane_3(vertex(0), vertex(1), vertex(2)); } template < class R > inline typename R::Boolean TriangleC3:: has_on(const typename TriangleC3::Point_3 &p) const { return R().has_on_3_object() (static_cast(*this), p); } template < class R > typename R::Boolean TriangleC3::is_degenerate() const { return collinear(vertex(0),vertex(1),vertex(2)); } } //namespace CGAL #endif // CGAL_CARTESIAN_TRIANGLE_3_H