cgal/Algebraic_kernel_d/include/CGAL/RS/polynomial_1_impl.h

100 lines
2.7 KiB
C++

// Copyright (c) 2006-2008 Inria Lorraine (France). 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 Lesser 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: Luis Peñaranda <luis.penaranda@gmx.com>
#ifndef CGAL_RS_POLYNOMIAL_1_IMPL_H
#define CGAL_RS_POLYNOMIAL_1_IMPL_H
namespace CGAL{
// constructor from a container of sorted coefficients
template <class InputIterator>
RS_polynomial_1::RS_polynomial_1(InputIterator first,InputIterator last){
// count the number of elements in the container
int elements=0;
InputIterator it;
for(it=first;it!=last;++it)
++elements;
// now we create the polynomial
if(elements){
_degree=elements-1;
create_storage(elements);
int i=0;
for(it=first;it!=last;++it)
mpz_init_set(coef(i++),Gmpz(*it).mpz());
}else{
_degree=0;
create_storage(1);
mpz_init_set_ui(coef(0),0);
}
}
template <class T>
RS_polynomial_1 RS_polynomial_1::operator*(const T &n)const{
RS_polynomial_1 r(*this);
return (r*=n);
}
template<class T>
RS_polynomial_1& RS_polynomial_1::operator*=(const T &s){
Gmpz z(s);
return (*this*=z);
}
template <class T>
RS_polynomial_1 RS_polynomial_1::operator/(const T &d)const{
RS_polynomial_1 r(*this);
return (r/=d);
}
template<class T>
RS_polynomial_1& RS_polynomial_1::operator/=(const T &d){
Gmpz z(d);
return (*this/=z);
}
template<class T>
Sign RS_polynomial_1::sign_at(const T &x)const{
T y(leading_coefficient());
int d=get_degree_static();
for(int i=1;i<d+1;++i)
y=y*x+T(coef(d-i));
if(y>0)
return POSITIVE;
if(y<0)
return NEGATIVE;
return ZERO;
}
template<>
inline Sign RS_polynomial_1::sign_at(const Gmpfr &x)const{
return sign_mpfr(x.fr());
}
template<class T>
T RS_polynomial_1::operator()(const T &x)const{
T y(leading_coefficient());
int d=get_degree_static();
for(int i=1;i<d+1;++i)
y=y*x+T(coef(d-i));
return y;
}
} // namespace CGAL
#endif // CGAL_RS_POLYNOMIAL_1_IMPL_H