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// Copyright (c) 2006-2009 Max-Planck-Institute Saarbruecken (Germany).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org)
//
// $URL: https://github.com/CGAL/cgal/blob/v6.1/Algebraic_kernel_d/include/CGAL/Algebraic_kernel_d/Interval_evaluate_1.h $
// $Id: include/CGAL/Algebraic_kernel_d/Interval_evaluate_1.h b26b07a1242 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Michael Kerber <mkerber@mpi-inf.mpg.de>
//
// ============================================================================
#ifndef CGAL_INTERVAL_EVALUATE_1
#define CGAL_INTERVAL_EVALUATE_1 1
#include <iterator>
#include <CGAL/basic.h>
#include <boost/numeric/interval.hpp>
#include <CGAL/algorithm.h>
#include <CGAL/array.h>
#include <CGAL/Coercion_traits.h>
#include <CGAL/Polynomial_traits_d.h>
namespace CGAL {
namespace internal {
template<typename Polynomial_1, typename Bound>
struct Interval_evaluate_1 : public CGAL::cpp98::binary_function
<Polynomial_1,std::pair<Bound,Bound>,
std::pair<typename CGAL::Coercion_traits<typename
CGAL::Polynomial_traits_d<Polynomial_1>::Coefficient_type,Bound>::Type,
typename CGAL::Coercion_traits<typename
CGAL::Polynomial_traits_d<Polynomial_1>::Coefficient_type,Bound>::Type> > {
typedef CGAL::Polynomial_traits_d< Polynomial_1 > PT_1;
typedef typename PT_1::Innermost_coefficient_type Innermost_coefficient_type;
typedef CGAL::Coercion_traits< Innermost_coefficient_type, Bound > CT;
typedef typename CT::Type Coercion_type;
typedef std::pair< Coercion_type, Coercion_type > result_type;
result_type operator()(const Polynomial_1& p,
const std::pair< Bound, Bound >& b) const {
return this->operator()(p, CGAL::make_array(b.first, b.second));
}
result_type operator()(const Polynomial_1& p,
const std::array< Bound, 2 >& b) const {
typename CT::Cast cast;
typedef ::boost::numeric::interval< Coercion_type > Coercion_interval;
typedef typename PT_1::Coefficient_const_iterator
Coefficient_const_iterator;
Coercion_interval ix(cast(b[0]), cast(b[1]));
typedef typename PT_1::Coefficient_const_iterator_range
Coefficient_const_iterator_range;
Coefficient_const_iterator_range range =
typename PT_1::Construct_coefficient_const_iterator_range()(p);
Coefficient_const_iterator it = std::prev(range.second);
Coercion_interval res(cast(*it));
Coefficient_const_iterator p_begin = range.first;
while(it != p_begin) {
it--;
res = res * ix + Coercion_interval(cast(*it));
}
return std::make_pair(res.lower(),res.upper());
}
};
} // namespace internal
} // namespace CGAL
#endif // CGAL_INTERVAL_EVALUATE_1
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