86 lines
2.7 KiB
C
86 lines
2.7 KiB
C
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// Copyright (c) 2009 Max-Planck-Institute Saarbruecken (Germany).
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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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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Polynomial/include/CGAL/Polynomial/Monomial_representation.h $
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// $Id: Monomial_representation.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 Hemmer <hemmer@mpi-inf.mpg.de>
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//
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// ============================================================================
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#ifndef CGAL_POLYNOMIAL_MONOMIAL_REPRESENTAION_H
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#define CGAL_POLYNOMIAL_MONOMIAL_REPRESENTAION_H
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#include <CGAL/Exponent_vector.h>
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#include <CGAL/Polynomial/misc.h>
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namespace CGAL {
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namespace internal{
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template <typename Polynomial> struct Monomial_representation;
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// Polynomial muss be at least univariate !
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template <typename Coeff_ >
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struct Monomial_representation<Polynomial<Coeff_> >{
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private:
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typedef typename Innermost_coefficient_type<Polynomial<Coeff_> >::Type
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Innermost_coefficient;
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// Polynomial is univariate
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// final creation of pair<Exponent_vector,Innermost_coefficient>
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template <typename Polynomial, typename OutputIterator>
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OutputIterator
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create_mrep(const Polynomial& p, OutputIterator oit , Exponent_vector& ivec, Tag_true) const {
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int degree = 0;
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for(typename Polynomial::const_iterator it = p.begin(); it != p.end(); it++){
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ivec[0] = degree;
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if(!CGAL::is_zero(*it))
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*oit++ = std::make_pair(ivec,*it);
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degree++;
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}
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ivec[0]=0;
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return oit;
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}
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// polynomial is multivariate
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// define correct exponent for dimension and recurse
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template <typename Polynomial, typename OutputIterator>
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OutputIterator
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create_mrep(const Polynomial& p, OutputIterator oit , Exponent_vector& ivec, Tag_false) const {
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if(CGAL::is_zero(p)) return oit;
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static const int dim = Dimension<Polynomial>::value ;
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int degree = 0;
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for(typename Polynomial::const_iterator it = p.begin(); it != p.end(); it++){
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ivec[dim-1] = degree;
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oit = create_mrep(*it,oit,ivec,CGAL::Boolean_tag<1 == dim-1>());
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degree++;
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}
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ivec[dim-1] = 0;
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return oit;
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}
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public:
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template <typename OutputIterator>
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OutputIterator operator()(const Polynomial<Coeff_>& p, OutputIterator oit) const {
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typedef Polynomial<Coeff_> Polynomial;
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typedef CGAL::Boolean_tag<1 == Dimension<Polynomial>::value> Is_univariate;
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CGAL::Exponent_vector ivec((std::vector<int>)(Dimension<Polynomial>::value));
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if(p.is_zero()){
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*oit++ = std::make_pair(ivec,Innermost_coefficient(0));
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return oit;
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}
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return create_mrep(p, oit, ivec, Is_univariate());
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}
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};
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} // namespace internal
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} //namespace CGAL
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#endif //CGAL_POLYNOMIAL_MONOMIAL_REPRESENTAION_H
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