117 lines
3.4 KiB
C++
117 lines
3.4 KiB
C++
// Copyright (c) 1997
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org)
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Algebraic_foundations/include/CGAL/number_utils_classes.h $
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// $Id: number_utils_classes.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
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//
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//
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// Author(s) : Michael Hoffmann <hoffmann@inf.ethz.ch>
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// : Michael Hemmer <hemmer@mpi-inf.mpg.de>
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// to be included by number_utils.h
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#ifndef CGAL_NUMBER_UTILS_CLASSES_H
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#define CGAL_NUMBER_UTILS_CLASSES_H 1
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#include <CGAL/Real_embeddable_traits.h>
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#include <CGAL/Algebraic_structure_traits.h>
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#include <algorithm>
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#include <utility>
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namespace CGAL {
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/* Defines functors:
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- Is_zero
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- Is_one
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- Is_negative
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- Is_positive
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- Sgn
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- Abs
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- Compare
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- Square
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- Sqrt
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- Div
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- Gcd
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- To_double
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- To_interval
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*/
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template < class NT >
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struct Is_negative : Real_embeddable_traits<NT>::Is_negative {};
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template < class NT >
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struct Is_positive : Real_embeddable_traits<NT>::Is_positive {};
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template < class NT >
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struct Abs : Real_embeddable_traits<NT>::Abs{};
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template < class NT >
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struct To_double : Real_embeddable_traits<NT>::To_double{};
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template < class NT >
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struct To_interval : Real_embeddable_traits<NT>::To_interval{};
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// Sign would result in a name clash with enum.h
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template < class NT >
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struct Sgn : Real_embeddable_traits<NT>::Sgn {};
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template < class NT >
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struct Square : Algebraic_structure_traits<NT>::Square{};
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template < class NT >
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struct Sqrt : Algebraic_structure_traits<NT>::Sqrt {};
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template < class NT >
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struct Div : Algebraic_structure_traits<NT>::Div{};
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template < class NT >
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struct Gcd : Algebraic_structure_traits<NT>::Gcd{};
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template < class NT >
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struct Is_one : Algebraic_structure_traits<NT>::Is_one {};
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// This is due to the fact that Is_zero may be provided by
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// Algebraic_structure_traits as well as Real_embeddable_traits
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// Of course it is not possible to derive from both since this
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// would cause an ambiguity.
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namespace internal{
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template <class AST_Is_zero, class RET_Is_zero>
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struct Is_zero_base : AST_Is_zero {} ;
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template <class RET_Is_zero>
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struct Is_zero_base <CGAL::Null_functor, RET_Is_zero >: RET_Is_zero {} ;
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} // namespace internal
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template < class NT >
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struct Is_zero :
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internal::Is_zero_base
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<typename Algebraic_structure_traits<NT>::Is_zero,
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typename Real_embeddable_traits<NT>::Is_zero>{};
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// This is due to the fact that CGAL::Compare is used for other
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// non-realembeddable types as well.
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// In this case we try to provide a default implementation
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namespace internal {
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template <class NT, class Compare> struct Compare_base: public Compare {};
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template <class NT> struct Compare_base<NT,Null_functor>
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:public CGAL::cpp98::binary_function< NT, NT, Comparison_result > {
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Comparison_result operator()( const NT& x, const NT& y) const
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{
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if (x < y) return SMALLER;
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if (x > y) return LARGER;
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CGAL_postcondition(x == y);
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return EQUAL;
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}
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};
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} // namespace internal
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template < class NT >
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struct Compare
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:public internal::Compare_base
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<NT,typename Real_embeddable_traits<NT>::Compare>{};
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} //namespace CGAL
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#endif // CGAL_NUMBER_UTILS_CLASSES_H
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