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/*!
* \file
* \brief Test program of special vectors and matrices
* \author Adam Piatyszek
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2013 (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/itbase.h>
#include "gtest/gtest.h"
using namespace std;
using namespace itpp;
static const double tol = 1e-4;
static
void assert_mat_p(const mat &ref, const mat &act, int line)
{
ASSERT_EQ(ref.rows(), act.rows()) << line;
ASSERT_EQ(ref.cols(), act.cols()) << line;
for (int n = 0; n < ref.rows(); ++n) {
for (int k = 0; k < ref.cols(); ++k) {
ASSERT_NEAR(ref(n,k), act(n,k), tol) << line;
}
}
}
#define assert_mat(ref, act) assert_mat_p(ref, act, __LINE__)
static
void assert_cmat_p(const cmat &ref, const cmat &act, int line)
{
ASSERT_EQ(ref.rows(), act.rows()) << line;
ASSERT_EQ(ref.cols(), act.cols()) << line;
for (int n = 0; n < ref.rows(); ++n) {
for (int k = 0; k < ref.cols(); ++k) {
ASSERT_NEAR(ref(n,k).real(), act(n,k).real(), tol) << line;
ASSERT_NEAR(ref(n,k).imag(), act(n,k).imag(), tol) << line;
}
}
}
#define assert_cmat(ref, act) assert_cmat_p(ref, act, __LINE__)
TEST(SpecMat, All)
{
RNG_reset(0);
// Test of specmat routines
bvec b1 = randb(7);
bvec b2 = randb(13);
bmat ref_b = "1 0 1 0 0 0 1 1 1 0 1 1 0;"
"1 1 0 1 0 0 0 1 1 1 0 1 1;"
"1 1 1 0 1 0 0 0 1 1 1 0 1;"
"1 1 1 1 0 1 0 0 0 1 1 1 0;"
"0 1 1 1 1 0 1 0 0 0 1 1 1;"
"1 0 1 1 1 1 0 1 0 0 0 1 1;"
"1 1 0 1 1 1 1 0 1 0 0 0 1";
ASSERT_TRUE(ref_b == toeplitz(b1, b2));
ref_b = "1 1 1 1 0 1 1;"
"1 1 1 1 1 0 1;"
"1 1 1 1 1 1 0;"
"1 1 1 1 1 1 1;"
"0 1 1 1 1 1 1;"
"1 0 1 1 1 1 1;"
"1 1 0 1 1 1 1";
ASSERT_TRUE(ref_b == toeplitz(b1));
vec v1 = randn(5);
vec v2 = randn(7);
mat ref = "0.0146015 -0.19548 -0.466618 0.640813 1.44749 0.585136 0.254363;"
"0.875791 0.0146015 -0.19548 -0.466618 0.640813 1.44749 0.585136;"
"0.382527 0.875791 0.0146015 -0.19548 -0.466618 0.640813 1.44749;"
"-0.610395 0.382527 0.875791 0.0146015 -0.19548 -0.466618 0.640813;"
"0.349783 -0.610395 0.382527 0.875791 0.0146015 -0.19548 -0.466618";
assert_mat(ref, toeplitz(v1, v2));
ref = "0.0146015 0.875791 0.382527 -0.610395 0.349783;"
"0.875791 0.0146015 0.875791 0.382527 -0.610395;"
"0.382527 0.875791 0.0146015 0.875791 0.382527;"
"-0.610395 0.382527 0.875791 0.0146015 0.875791;"
"0.349783 -0.610395 0.382527 0.875791 0.0146015";
assert_mat(ref, toeplitz(v1));
cvec c1 = randn_c(4);
cvec c2 = randn_c(3);
cmat ref_c = "0.480134+0.0415308i -1.01547-0.104848i 0.118973+1.59312i;"
"0.388173+0.90716i 0.480134+0.0415308i -1.01547-0.104848i;"
"-1.03694-0.106531i 0.388173+0.90716i 0.480134+0.0415308i;"
"-0.45369+0.630181i -1.03694-0.106531i 0.388173+0.90716i";
assert_cmat(ref_c, toeplitz(c1, c2));
ref_c = "0.480134+0.0415308i 0.388173+0.90716i -1.03694-0.106531i -0.45369+0.630181i;"
"0.388173+0.90716i 0.480134+0.0415308i 0.388173+0.90716i -1.03694-0.106531i;"
"-1.03694-0.106531i 0.388173+0.90716i 0.480134+0.0415308i 0.388173+0.90716i;"
"-0.45369+0.630181i -1.03694-0.106531i 0.388173+0.90716i 0.480134+0.0415308i";
assert_cmat(ref_c, toeplitz(c1, c1));
ref_c = "0.480134+0.0415308i 0.388173+0.90716i -1.03694-0.106531i -0.45369+0.630181i;"
"0.388173-0.90716i 0.480134+0.0415308i 0.388173+0.90716i -1.03694-0.106531i;"
"-1.03694+0.106531i 0.388173-0.90716i 0.480134+0.0415308i 0.388173+0.90716i;"
"-0.45369-0.630181i -1.03694+0.106531i 0.388173-0.90716i 0.480134+0.0415308i";
assert_cmat(ref_c, toeplitz(c1));
}
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