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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/Iso_cuboid_3.h $ // $Id: include/CGAL/Cartesian/Iso_cuboid_3.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Herve Bronnimann #ifndef CGAL_CARTESIAN_ISO_CUBOID_3_H #define CGAL_CARTESIAN_ISO_CUBOID_3_H #include #include #include namespace CGAL { template < class R_ > class Iso_cuboidC3 { typedef typename R_::Boolean Boolean; typedef typename R_::Bounded_side Bounded_side; typedef typename R_::FT FT; typedef typename R_::Iso_cuboid_3 Iso_cuboid_3; typedef typename R_::Point_3 Point_3; typedef typename R_::Aff_transformation_3 Aff_transformation_3; typedef typename R_::Construct_point_3 Construct_point_3; typedef std::array Rep; typedef typename R_::template Handle::type Base; Base base; public: typedef R_ R; Iso_cuboidC3() {} Iso_cuboidC3(const Point_3 &p, const Point_3 &q, int) : base{p, q} { // I have to remove the assertions, because of Cartesian_converter. // CGAL_kernel_assertion(p.x()<=q.x()); // CGAL_kernel_assertion(p.y()<=q.y()); // CGAL_kernel_assertion(p.z()<=q.z()); } Iso_cuboidC3(const Point_3 &p, const Point_3 &q) { Construct_point_3 construct_point_3; FT minx, maxx, miny, maxy, minz, maxz; if (p.x() < q.x()) { minx = p.x(); maxx = q.x(); } else { minx = q.x(); maxx = p.x(); } if (p.y() < q.y()) { miny = p.y(); maxy = q.y(); } else { miny = q.y(); maxy = p.y(); } if (p.z() < q.z()) { minz = p.z(); maxz = q.z(); } else { minz = q.z(); maxz = p.z(); } base = Rep(CGAL::make_array(construct_point_3(minx, miny, minz), construct_point_3(maxx, maxy, maxz))); } Iso_cuboidC3(const Point_3 &left, const Point_3 &right, const Point_3 &bottom, const Point_3 &top, const Point_3 &far_, const Point_3 &close) : base{Construct_point_3()(left.x(), bottom.y(), far_.z()), Construct_point_3()(right.x(), top.y(), close.z())} { CGAL_kernel_precondition(!less_x(right, left)); CGAL_kernel_precondition(!less_y(top, bottom)); CGAL_kernel_precondition(!less_z(close, far_)); } Iso_cuboidC3(const FT& min_x, const FT& min_y, const FT& min_z, const FT& max_x, const FT& max_y, const FT& max_z) : base(CGAL::make_array(Construct_point_3()(min_x, min_y, min_z), Construct_point_3()(max_x, max_y, max_z))) { CGAL_kernel_precondition(min_x <= max_x); CGAL_kernel_precondition(min_y <= max_y); CGAL_kernel_precondition(min_z <= max_z); } Iso_cuboidC3(const FT& min_hx, const FT& min_hy, const FT& min_hz, const FT& max_hx, const FT& max_hy, const FT& max_hz, const FT& hw) { if (hw == FT(1)) base = Rep(CGAL::make_array(Construct_point_3()(min_hx, min_hy, min_hz), Construct_point_3()(max_hx, max_hy, max_hz))); else base = Rep(CGAL::make_array(Construct_point_3()(min_hx/hw, min_hy/hw, min_hz/hw), Construct_point_3()(max_hx/hw, max_hy/hw, max_hz/hw))); } Boolean operator==(const Iso_cuboidC3& s) const; Boolean operator!=(const Iso_cuboidC3& s) const; const Point_3 & min BOOST_PREVENT_MACRO_SUBSTITUTION () const { return get_pointee_or_identity(base)[0]; } const Point_3 & max BOOST_PREVENT_MACRO_SUBSTITUTION () const { return get_pointee_or_identity(base)[1]; } Point_3 vertex(int i) const; Point_3 operator[](int i) const; Iso_cuboid_3 transform(const Aff_transformation_3 &t) const { return Iso_cuboidC3(t.transform((this->min)()), t.transform((this->max)())); } Bounded_side bounded_side(const Point_3& p) const; Boolean has_on(const Point_3& p) const; Boolean has_on_boundary(const Point_3& p) const; Boolean has_on_bounded_side(const Point_3& p) const; Boolean has_on_unbounded_side(const Point_3& p) const; Boolean is_degenerate() const; const FT & xmin() const; const FT & ymin() const; const FT & zmin() const; const FT & xmax() const; const FT & ymax() const; const FT & zmax() const; const FT & min_coord(int i) const; const FT & max_coord(int i) const; FT volume() const; }; template < class R > CGAL_KERNEL_INLINE typename R::Boolean Iso_cuboidC3::operator==(const Iso_cuboidC3& r) const { // FIXME : predicate if (CGAL::identical(base, r.base)) return true; return (this->min)() == (r.min)() && (this->max)() == (r.max)(); } template < class R > inline typename R::Boolean Iso_cuboidC3::operator!=(const Iso_cuboidC3& r) const { return !(*this == r); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::xmin() const { return (this->min)().x(); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::ymin() const { return (this->min)().y(); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::zmin() const { return (this->min)().z(); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::xmax() const { return (this->max)().x(); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::ymax() const { return (this->max)().y(); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::zmax() const { return (this->max)().z(); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::min_coord(int i) const { CGAL_kernel_precondition( i == 0 || i == 1 || i == 2 ); if (i == 0) return xmin(); else if (i == 1) return ymin(); else return zmin(); } template < class R > inline const typename Iso_cuboidC3::FT & Iso_cuboidC3::max_coord(int i) const { CGAL_kernel_precondition( i == 0 || i == 1 || i == 2 ); if (i == 0) return xmax(); else if (i == 1) return ymax(); else return zmax(); } template < class R > CGAL_KERNEL_LARGE_INLINE typename Iso_cuboidC3::Point_3 Iso_cuboidC3::vertex(int i) const { Construct_point_3 construct_point_3; switch (i%8) { case 0: return (this->min)(); case 1: return construct_point_3((this->max)().hx(), (this->min)().hy(), (this->min)().hz()); case 2: return construct_point_3((this->max)().hx(), (this->max)().hy(), (this->min)().hz()); case 3: return construct_point_3((this->min)().hx(), (this->max)().hy(), (this->min)().hz()); case 4: return construct_point_3((this->min)().hx(), (this->max)().hy(), (this->max)().hz()); case 5: return construct_point_3((this->min)().hx(), (this->min)().hy(), (this->max)().hz()); case 6: return construct_point_3((this->max)().hx(), (this->min)().hy(), (this->max)().hz()); default: // case 7: return (this->max)(); } } template < class R > inline typename Iso_cuboidC3::Point_3 Iso_cuboidC3::operator[](int i) const { return vertex(i); } template < class R > inline typename Iso_cuboidC3::FT Iso_cuboidC3::volume() const { return (xmax()-xmin()) * (ymax()-ymin()) * (zmax()-zmin()); } template < class R > CGAL_KERNEL_MEDIUM_INLINE typename R::Bounded_side Iso_cuboidC3:: bounded_side(const typename Iso_cuboidC3::Point_3& p) const { if (strict_dominance(p, (this->min)()) && strict_dominance((this->max)(), p) ) return ON_BOUNDED_SIDE; if (dominance(p, (this->min)()) && dominance((this->max)(), p)) return ON_BOUNDARY; return ON_UNBOUNDED_SIDE; } template < class R > inline typename R::Boolean Iso_cuboidC3:: has_on_boundary(const typename Iso_cuboidC3::Point_3& p) const { return bounded_side(p) == ON_BOUNDARY; } template < class R > inline typename R::Boolean Iso_cuboidC3:: has_on(const typename Iso_cuboidC3::Point_3& p) const { return bounded_side(p) == ON_BOUNDARY; } template < class R > inline typename R::Boolean Iso_cuboidC3:: has_on_bounded_side(const typename Iso_cuboidC3::Point_3& p) const { return bounded_side(p) == ON_BOUNDED_SIDE; } template < class R > CGAL_KERNEL_INLINE typename R::Boolean Iso_cuboidC3:: has_on_unbounded_side(const typename Iso_cuboidC3::Point_3& p) const { return bounded_side(p) == ON_UNBOUNDED_SIDE; } template < class R > CGAL_KERNEL_INLINE typename R::Boolean Iso_cuboidC3::is_degenerate() const { // FIXME : predicate return (this->min)().hx() == (this->max)().hx() || (this->min)().hy() == (this->max)().hy() || (this->min)().hz() == (this->max)().hz(); } } //namespace CGAL #endif // CGAL_CARTESIAN_ISO_CUBOID_3_H