LA_library/polynomial.cc

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2021-06-09 22:59:19 +02:00
/*
LA: linear algebra C++ interface library
Copyright (C) 2021 Jiri Pittner <jiri.pittner@jh-inst.cas.cz> or <jiri@pittnerovi.com>
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include "polynomial.h"
#include <stdio.h>
#include <string.h>
namespace LA {
template <typename T>
void Polynomial<T>::polydiv(const Polynomial &rhs, Polynomial &q, Polynomial &r) const
{
if(rhs[rhs.degree()]==0) laerror("division by a polynomial with zero leading coefficient - simplify it first");
if(rhs.degree()==0) //scalar division
{
q= *this/rhs[0];
r.resize(0,false);
r[0]=0;
return;
}
int rdegree= rhs.degree();
int qdegree= degree()-rdegree;
if(qdegree<0)
{
q.resize(0,false);
q[0]=0;
r= *this;
return;
}
//general case
q.resize(qdegree,false);
r= *this; r.copyonwrite();
for(int i=degree(); i>=rdegree; --i)
{
T tmp= r[i]/rhs[rdegree];
q[i-rdegree]= tmp;
r -= rhs.shifted(i-rdegree)*tmp;
}
r.resize(rhs.degree()-1,true);
}
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/***************************************************************************//**
* forced instantization in the corresponding object file
******************************************************************************/
template class Polynomial<int>;
template class Polynomial<double>;
template class Polynomial<std::complex<double> >;
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#define INSTANTIZE(T) \
//INSTANTIZE(double)
}//namespace