/usr/include/CGAL/envelope_2.h is in libcgal-dev 4.5-2.
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// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
// You can redistribute it and/or modify it under the terms of the GNU
// General Public License as published by the Free Software Foundation,
// either version 3 of the License, or (at your option) any later version.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL$
// $Id$
//
// Author(s) : Ron Wein <wein@post.tau.ac.il>
#ifndef CGAL_ENVELOPE_2_H
#define CGAL_ENVELOPE_2_H
/*! \file
* Global functions for computing lower and upper envelopes of curves in the
* plane.
*/
#include <CGAL/Envelope_2/Env_divide_and_conquer_2.h>
namespace CGAL {
/*!
* Compute the lower envelope of a range of curves.
* \param begin An iterator for the first curve.
* \param end A past-the-end iterator for the curves.
* \param diag Output: The minimization diagram.
* \pre The value-type of the iterator is Traits::Curve_2.
*/
template <class InputIterator, class EnvelopeDiagram>
void lower_envelope_2 (InputIterator begin, InputIterator end,
EnvelopeDiagram& diag)
{
typedef typename EnvelopeDiagram::Traits_2 Traits_2;
typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
Envelope_2 env;
env.insert_curves (begin, end,
true, // Lower envelope.
diag);
return;
}
/*!
* Compute the upper envelope of a range of curves.
* \param begin An iterator for the first curve.
* \param end A past-the-end iterator for the curves.
* \param diag Output: The maximization diagram.
* \pre The value-type of the iterator is Traits::Curve_2.
*/
template <class InputIterator, class EnvelopeDiagram>
void upper_envelope_2 (InputIterator begin, InputIterator end,
EnvelopeDiagram& diag)
{
typedef typename EnvelopeDiagram::Traits_2 Traits_2;
typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
Envelope_2 env;
env.insert_curves (begin, end,
false, // Upper envelope.
diag);
return;
}
/*!
* Compute the lower envelope of a range of x-monotone curves.
* \param begin An iterator for the first x-monotone curve.
* \param end A past-the-end iterator for the x-monotone curves.
* \param diag Output: The minimization diagram.
* \pre The value-type of the iterator is Traits::X_monotone_curve_2.
*/
template <class InputIterator, class EnvelopeDiagram>
void lower_envelope_x_monotone_2 (InputIterator begin, InputIterator end,
EnvelopeDiagram& diag)
{
typedef typename EnvelopeDiagram::Traits_2 Traits_2;
typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
Envelope_2 env;
env.insert_x_monotone_curves (begin, end,
true, // Lower envelope.
diag);
return;
}
/*!
* Compute the upper envelope of a range of x-monotone curves.
* \param begin An iterator for the first x-monotone curve.
* \param end A past-the-end iterator for the x-monotone curves.
* \param diag Output: The maximization diagram.
* \pre The value-type of the iterator is Traits::X_monotone_curve_2.
*/
template <class InputIterator, class EnvelopeDiagram>
void upper_envelope_x_monotone_2 (InputIterator begin, InputIterator end,
EnvelopeDiagram& diag)
{
typedef typename EnvelopeDiagram::Traits_2 Traits_2;
typedef Envelope_divide_and_conquer_2<Traits_2, EnvelopeDiagram> Envelope_2;
Envelope_2 env;
env.insert_x_monotone_curves (begin, end,
false, // Upper envelope.
diag);
return;
}
} //namespace CGAL
#endif
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