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/*!
* \file
* \brief Polynomial routines test program
* \author Tony Ottosson, Adam Piatyszek and Kumar Appaiah
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2010 (see AUTHORS file for a list of contributors)
*
* This file is part of IT++ - a C++ library of mathematical, signal
* processing, speech processing, and communications classes and functions.
*
* IT++ 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.
*
* IT++ 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 IT++. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#include <itpp/itsignal.h>
#include <iomanip>
using namespace itpp;
using namespace std;
int main()
{
cout << "===================================" << endl;
cout << " Test of polynomial routines " << endl;
cout << "===================================" << endl;
cout.setf(ios::fixed);
cout.precision(6);
{
cout << "Real polynomials" << endl;
vec r = randn(3);
vec p = poly(r);
cvec r2 = roots(p);
cout << "Roots, r = " << r << endl;
cout << "Polynomial, p = " << p << endl;
cout << "r = roots(p) = " << r2 << endl;
r = randn(7);
p = poly(r);
r2 = roots(p);
cout << "Roots, r = " << r << endl;
cout << "Polynomial, p = " << p << endl;
cout << "r = roots(p) = " << r2 << endl;
vec x = randn(9);
vec y = polyval(p, x);
cout << "x = " << x << endl;
cout << "polyval(p, x) = " << y << endl;
}
{
cout << "Complex polynomials" << endl;
cvec r = randn_c(3);
cvec p = poly(r);
cvec r2 = roots(p);
cout << "Roots, r = " << r << endl;
cout << "Polynomial, p = " << p << endl;
cout << "r = roots(p) = " << r2 << endl;
r = randn_c(7);
p = poly(r);
r2 = roots(p);
cout << "Roots, r = " << r << endl;
cout << "Polynomial, p = " << p << endl;
cout << "r = roots(p) = " << r2 << endl;
cvec x = randn_c(9);
cvec y = polyval(p, x);
cout << "x = " << x << endl;
cout << "polyval(p, x) = " << y << endl;
}
{
cout << "Chebyshev polynomial" << endl;
vec x = randn(8);
cout << "x = " << x << endl;
cout << "cheb(10, x) = " << cheb(10, x) << endl;
cout << "cheb(15, x) = " << cheb(15, x) << endl;
}
return 0;
}
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