86 lines
2.7 KiB
C++
86 lines
2.7 KiB
C++
// Copyright (c) 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/v5.1/Polynomial/include/CGAL/Polynomial/Monomial_representation.h $
|
|
// $Id: Monomial_representation.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
|
|
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
|
|
//
|
|
//
|
|
// Author(s) : Michael Hemmer <hemmer@mpi-inf.mpg.de>
|
|
//
|
|
// ============================================================================
|
|
|
|
|
|
#ifndef CGAL_POLYNOMIAL_MONOMIAL_REPRESENTAION_H
|
|
#define CGAL_POLYNOMIAL_MONOMIAL_REPRESENTAION_H
|
|
|
|
#include <CGAL/Exponent_vector.h>
|
|
#include <CGAL/Polynomial/misc.h>
|
|
|
|
|
|
namespace CGAL {
|
|
|
|
namespace internal{
|
|
template <typename Polynomial> struct Monomial_representation;
|
|
|
|
// Polynomial muss be at least univariate !
|
|
template <typename Coeff_ >
|
|
struct Monomial_representation<Polynomial<Coeff_> >{
|
|
private:
|
|
typedef typename Innermost_coefficient_type<Polynomial<Coeff_> >::Type
|
|
Innermost_coefficient;
|
|
|
|
// Polynomial is univariate
|
|
// final creation of pair<Exponent_vector,Innermost_coefficient>
|
|
template <typename Polynomial, typename OutputIterator>
|
|
OutputIterator
|
|
create_mrep(const Polynomial& p, OutputIterator oit , Exponent_vector& ivec, Tag_true) const {
|
|
int degree = 0;
|
|
for(typename Polynomial::const_iterator it = p.begin(); it != p.end(); it++){
|
|
ivec[0] = degree;
|
|
if(!CGAL::is_zero(*it))
|
|
*oit++ = std::make_pair(ivec,*it);
|
|
degree++;
|
|
}
|
|
ivec[0]=0;
|
|
return oit;
|
|
}
|
|
|
|
// polynomial is multivariate
|
|
// define correct exponent for dimension and recurse
|
|
template <typename Polynomial, typename OutputIterator>
|
|
OutputIterator
|
|
create_mrep(const Polynomial& p, OutputIterator oit , Exponent_vector& ivec, Tag_false) const {
|
|
if(CGAL::is_zero(p)) return oit;
|
|
static const int dim = Dimension<Polynomial>::value ;
|
|
int degree = 0;
|
|
for(typename Polynomial::const_iterator it = p.begin(); it != p.end(); it++){
|
|
ivec[dim-1] = degree;
|
|
oit = create_mrep(*it,oit,ivec,CGAL::Boolean_tag<1 == dim-1>());
|
|
degree++;
|
|
}
|
|
ivec[dim-1] = 0;
|
|
return oit;
|
|
}
|
|
|
|
public:
|
|
template <typename OutputIterator>
|
|
OutputIterator operator()(const Polynomial<Coeff_>& p, OutputIterator oit) const {
|
|
typedef Polynomial<Coeff_> Polynomial;
|
|
typedef CGAL::Boolean_tag<1 == Dimension<Polynomial>::value> Is_univariate;
|
|
CGAL::Exponent_vector ivec((std::vector<int>)(Dimension<Polynomial>::value));
|
|
if(p.is_zero()){
|
|
*oit++ = std::make_pair(ivec,Innermost_coefficient(0));
|
|
return oit;
|
|
}
|
|
return create_mrep(p, oit, ivec, Is_univariate());
|
|
}
|
|
};
|
|
|
|
} // namespace internal
|
|
} //namespace CGAL
|
|
|
|
#endif //CGAL_POLYNOMIAL_MONOMIAL_REPRESENTAION_H
|