131 lines
4.1 KiB
C++
Executable File
131 lines
4.1 KiB
C++
Executable File
// Copyright (c) 2006 Tel-Aviv University (Israel).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0+
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//
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// Author(s) : Ron Wein <wein@post.tau.ac.il>
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#ifndef CGAL_ENVELOPE_2_H
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#define CGAL_ENVELOPE_2_H
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#include <CGAL/license/Envelope_2.h>
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/*! \file
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* Global functions for computing lower and upper envelopes of curves in the
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* plane.
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*/
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#include <CGAL/Envelope_2/Env_divide_and_conquer_2.h>
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namespace CGAL {
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/*!
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* Compute the lower envelope of a range of curves.
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* \param begin An iterator for the first curve.
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* \param end A past-the-end iterator for the curves.
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* \param diag Output: The minimization diagram.
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* \pre The value-type of the iterator is Traits::Curve_2.
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*/
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template <class InputIterator, class EnvelopeDiagram>
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void lower_envelope_2 (InputIterator begin, InputIterator end,
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EnvelopeDiagram& diag)
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{
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typedef typename EnvelopeDiagram::Traits_2 Traits_2;
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typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
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Envelope_2 env;
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env.insert_curves (begin, end,
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true, // Lower envelope.
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diag);
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return;
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}
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/*!
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* Compute the upper envelope of a range of curves.
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* \param begin An iterator for the first curve.
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* \param end A past-the-end iterator for the curves.
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* \param diag Output: The maximization diagram.
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* \pre The value-type of the iterator is Traits::Curve_2.
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*/
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template <class InputIterator, class EnvelopeDiagram>
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void upper_envelope_2 (InputIterator begin, InputIterator end,
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EnvelopeDiagram& diag)
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{
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typedef typename EnvelopeDiagram::Traits_2 Traits_2;
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typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
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Envelope_2 env;
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env.insert_curves (begin, end,
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false, // Upper envelope.
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diag);
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return;
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}
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/*!
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* Compute the lower envelope of a range of x-monotone curves.
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* \param begin An iterator for the first x-monotone curve.
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* \param end A past-the-end iterator for the x-monotone curves.
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* \param diag Output: The minimization diagram.
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* \pre The value-type of the iterator is Traits::X_monotone_curve_2.
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*/
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template <class InputIterator, class EnvelopeDiagram>
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void lower_envelope_x_monotone_2 (InputIterator begin, InputIterator end,
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EnvelopeDiagram& diag)
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{
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typedef typename EnvelopeDiagram::Traits_2 Traits_2;
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typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
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Envelope_2 env;
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env.insert_x_monotone_curves (begin, end,
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true, // Lower envelope.
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diag);
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return;
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}
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/*!
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* Compute the upper envelope of a range of x-monotone curves.
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* \param begin An iterator for the first x-monotone curve.
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* \param end A past-the-end iterator for the x-monotone curves.
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* \param diag Output: The maximization diagram.
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* \pre The value-type of the iterator is Traits::X_monotone_curve_2.
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*/
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template <class InputIterator, class EnvelopeDiagram>
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void upper_envelope_x_monotone_2 (InputIterator begin, InputIterator end,
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EnvelopeDiagram& diag)
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{
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typedef typename EnvelopeDiagram::Traits_2 Traits_2;
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typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
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Envelope_2 env;
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env.insert_x_monotone_curves (begin, end,
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false, // Upper envelope.
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diag);
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return;
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}
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} //namespace CGAL
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#endif
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