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/*!
* \file
* \brief Transforms test program
* \author Tony Ottosson, Thomas Eriksson, Simon Wood and Adam Piatyszek
*
* -------------------------------------------------------------------------
*
* 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>
using namespace itpp;
using namespace std;
int main()
{
cout << "========================" << endl;
cout << " Test of Transforms " << endl;
cout << "========================" << endl << endl;
int N, s;
{
vec x, z;
cvec y;
N = 16;
x = randn(N);
cout << "Test 1: FFT/IFFT; Real input vector x; N = " << N << endl
<< " fft_real(x, y), ifft_real(y, z):" << endl << endl;
cout << "x = " << round_to_zero(x) << endl;
fft_real(x, y);
cout << "y = " << round_to_zero(y) << endl;
ifft_real(y, z);
cout << "z = " << round_to_zero(z) << endl << endl;
N = 15;
s = N - 4;
x = randn(s);
cout << "Test 2: FFT/IFFT; Real input vector x of size s = " << s
<< "; N = " << N << endl
<< " y = fft_real(x, N), z = ifft_real(y, N):" << endl << endl;
cout << "x = " << round_to_zero(x) << endl;
y = fft_real(x, N);
cout << "y = " << round_to_zero(y) << endl;
z = ifft_real(y, N);
cout << "z = " << round_to_zero(z.left(s)) << endl << endl;
}
{
cvec x, y, z;
N = 16;
x = randn_c(N);
cout << "Test 3: FFT/IFFT; Complex input vector x; N = " << N << endl
<< " fft(x, y), ifft(y, z):" << endl << endl;
cout << "x = " << round_to_zero(x) << endl;
fft(x, y);
cout << "y = " << round_to_zero(y) << endl;
ifft(y, z);
cout << "z = " << round_to_zero(z) << endl << endl;
N = 16;
s = N - 7;
x = randn_c(s);
cout << "Test 4: FFT/IFFT; Complex input vector x of size s = " << s
<< "; N = " << N << endl
<< " y = fft(x, N), z = ifft(y, N):" << endl << endl;
cout << "x = " << round_to_zero(x) << endl;
y = fft(x, N);
cout << "y = " << round_to_zero(y) << endl;
z = ifft(y, N);
cout << "z = " << round_to_zero(z.left(s)) << endl << endl;
}
{
vec x, y, z;
N = 8;
x = randn(N);
cout << "Test 5: DCT/IDCT; Real input vector; N = " << N << endl
<< " dct(x, y), idct(y, z):" << endl << endl;
cout << "x = " << round_to_zero(x) << endl;
dct(x, y);
cout << "y = " << round_to_zero(y) << endl;
idct(y, z);
cout << "z = " << round_to_zero(z) << endl << endl;
N = 11;
x = randn(N);
cout << "Test 6: DCT/IDCT; Real input vector; N = " << N << endl
<< " dct(x, y), idct(y, z):" << endl << endl;
cout << "x = " << round_to_zero(x) << endl;
dct(x, y);
cout << "y = " << round_to_zero(y) << endl;
idct(y, z);
cout << "z = " << round_to_zero(z) << endl;
}
return 0;
}
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