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/*!
* \file
* \brief Polynomial functions
* \author Tony Ottosson
*
* -------------------------------------------------------------------------
*
* IT++ - C++ library of mathematical, signal processing, speech processing,
* and communications classes and functions
*
* Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)
*
* 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 2 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, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*
* -------------------------------------------------------------------------
*/
#ifndef POLY_H
#define POLY_H
#include <itpp/base/vec.h>
namespace itpp {
/*!
\brief Create a polynomial of the given roots
\ingroup poly
Create a polynomial \c p with roots \c r
@{
*/
void poly(const vec &r, vec &p);
inline vec poly(const vec &r) { vec temp; poly(r, temp); return temp; }
void poly(const cvec &r, cvec &p);
inline cvec poly(const cvec &r) { cvec temp; poly(r, temp); return temp; }
/*! @} */
/*!
\brief Calculate the roots of the polynomial
\ingroup poly
Calculate the roots \c r of the polynomial \c p
@{
*/
void roots(const vec &p, cvec &r);
inline cvec roots(const vec &p) { cvec temp; roots(p, temp); return temp; }
void roots(const cvec &p, cvec &r);
inline cvec roots(const cvec &p) { cvec temp; roots(p, temp); return temp; }
/*! @} */
/*!
\brief Evaluate polynomial
\ingroup poly
Evaluate the polynomial \c p (of length \f$N+1\f$ at the points \c x
The output is given by
\f[
p_0 x^N + p_1 x^{N-1} + \ldots + p_{N-1} x + p_N
\f]
@{
*/
vec polyval(const vec &p, const vec &x);
cvec polyval(const vec &p, const cvec &x);
cvec polyval(const cvec &p, const vec &x);
cvec polyval(const cvec &p, const cvec &x);
/*! @} */
} // namespace itpp
#endif // #ifndef POLY_H
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