mirror of https://github.com/CGAL/cgal
113 lines
4.4 KiB
C++
113 lines
4.4 KiB
C++
// Copyright (c) 2006 Tel-Aviv University (Israel).
|
|
// All rights reserved.
|
|
//
|
|
// This file is part of CGAL (www.cgal.org).
|
|
//
|
|
// $URL$
|
|
// $Id$
|
|
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
|
|
//
|
|
//
|
|
// Author(s) : Ron Wein <wein@post.tau.ac.il>
|
|
// Baruch Zukerman <baruchzu@post.tau.ac.il>
|
|
// Efi Fogel <efifogel@gmail.com>
|
|
|
|
#ifndef CGAL_ENVELOPE_3_H
|
|
#define CGAL_ENVELOPE_3_H
|
|
|
|
#include <CGAL/license/Envelope_3.h>
|
|
|
|
|
|
#include <CGAL/Envelope_3/Envelope_diagram_on_surface_2.h>
|
|
#include <CGAL/Envelope_3/Envelope_divide_and_conquer_3.h>
|
|
#include <CGAL/Arr_accessor.h>
|
|
|
|
namespace CGAL {
|
|
|
|
/*! Construct the lower envelope of a given set of surfaces.
|
|
* \param begin An iterator for the first surface.
|
|
* \param end A past-the-end iterator for the surfaces in the range.
|
|
* \param min_diag Output: The minimization diagram.
|
|
* \pre The value-type of InputIterator is Traits::Surface_3.
|
|
*/
|
|
template <typename InputIterator, typename GeomTraits, typename TopolTraits>
|
|
void lower_envelope_3(InputIterator begin, InputIterator end,
|
|
Envelope_diagram_on_surface_2<GeomTraits, TopolTraits>&
|
|
min_diagram) {
|
|
using Gt = GeomTraits;
|
|
using Tt = TopolTraits;
|
|
|
|
using Edos_2 = Envelope_diagram_on_surface_2<Gt, Tt>;
|
|
using Ed = typename Edos_2::Arrangement;
|
|
using Envelope_algorithm = Envelope_divide_and_conquer_3<Gt, Ed>;
|
|
Envelope_algorithm env_alg(min_diagram.geometry_traits(), ENVELOPE_LOWER);
|
|
env_alg.construct_lu_envelope(begin, end, min_diagram);
|
|
}
|
|
|
|
/*! Construct the upper envelope of a given set of surfaces.
|
|
* \param begin An iterator for the first surface.
|
|
* \param end A past-the-end iterator for the surfaces in the range.
|
|
* \param max_diag Output: The maximization diagram.
|
|
* \pre The value-type of InputIterator is Traits::Surface_3.
|
|
*/
|
|
template <typename InputIterator, typename GeomTraits, typename TopolTraits>
|
|
void upper_envelope_3(InputIterator begin, InputIterator end,
|
|
Envelope_diagram_on_surface_2<GeomTraits, TopolTraits>&
|
|
max_diagram) {
|
|
using Gt = GeomTraits;
|
|
using Tt = TopolTraits;
|
|
|
|
using Edos = Envelope_diagram_on_surface_2<Gt, Tt>;
|
|
using Ed = typename Edos::Arrangement;
|
|
using Envelope_algorithm = Envelope_divide_and_conquer_3<Gt, Ed>;
|
|
Envelope_algorithm env_alg(max_diagram.geometry_traits(), ENVELOPE_UPPER);
|
|
env_alg.construct_lu_envelope (begin, end, max_diagram);
|
|
}
|
|
|
|
|
|
/*! Construct the lower envelope of a given set of xy_monotone surfaces.
|
|
* \param begin An iterator for the first xy-monotone surface.
|
|
* \param end A past-the-end iterator for the xy_monotone surfaces in the range.
|
|
* \param min_diag Output: The minimization diagram.
|
|
* \pre The value-type of InputIterator is GeomTraits::Surface_3.
|
|
*/
|
|
template <typename InputIterator, typename GeomTraits, typename TopolTraits>
|
|
void lower_envelope_xy_monotone_3(InputIterator begin, InputIterator end,
|
|
Envelope_diagram_on_surface_2
|
|
<GeomTraits, TopolTraits>& min_diagram) {
|
|
using Gt = GeomTraits;
|
|
using Tt = TopolTraits;
|
|
|
|
using Edos = Envelope_diagram_on_surface_2<Gt, Tt>;
|
|
using Ed = typename Edos::Arrangement;
|
|
using Envelope_algorithm = Envelope_divide_and_conquer_3<Gt, Ed>;
|
|
Envelope_algorithm env_alg(min_diagram.geometry_traits(), ENVELOPE_LOWER);
|
|
env_alg.construct_envelope_xy_monotone (begin, end, min_diagram);
|
|
}
|
|
|
|
|
|
/*! Construct the upper envelope of a given set of xy_monotone surfaces.
|
|
* \param begin An iterator for the first xy_monotone surface.
|
|
* \param end A past-the-end iterator for the xy_monotone surfaces in the range.
|
|
* \param max_diag Output: The maximization diagram.
|
|
* \pre The value-type of InputIterator is Traits::Surface_3.
|
|
*/
|
|
template <typename InputIterator, typename GeomTraits, typename TopolTraits>
|
|
void upper_envelope_xy_monotone_3(InputIterator begin, InputIterator end,
|
|
Envelope_diagram_on_surface_2
|
|
<GeomTraits, TopolTraits>& max_diagram) {
|
|
using Gt = GeomTraits;
|
|
using Tt = TopolTraits;
|
|
|
|
using Edos = Envelope_diagram_on_surface_2<Gt, Tt>;
|
|
using Ed = typename Edos::Arrangement;
|
|
using Envelope_algorithm = Envelope_divide_and_conquer_3<Gt, Ed>;
|
|
Envelope_algorithm env_alg(max_diagram.geometry_traits(), ENVELOPE_UPPER);
|
|
env_alg.construct_envelope_xy_monotone (begin, end, max_diagram);
|
|
}
|
|
|
|
|
|
} //namespace CGAL
|
|
|
|
#endif
|