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/*!
* \file
* \brief Test program of various functions on vectors and matrices
* \author Tony Ottosson 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/itstat.h>
#include <iomanip>
using namespace std;
using namespace itpp;
int main()
{
cout << "=================================" << endl;
cout << " Test of matfunc routines " << endl;
cout << "=================================" << endl;
cout.setf(ios::fixed);
cout.precision(3);
vec a = randn(5);
cout << "a = " << a << endl;
cout << "sum(a) = " << sum(a) << endl;
cout << "cumsum(a) = " << cumsum(a) << endl;
cout << "prod(a) = " << prod(a) << endl;
cout << "sum_sqr(a) = " << sum_sqr(a) << endl << endl;
mat A = randn(5, 5);
cout << "A = " << A << endl << endl;
cout << "sum(A) = " << sum(A) << endl;
cout << "sum(A,1) = " << sum(A, 1) << endl;
cout << "sum(A,2) = " << sum(A, 2) << endl << endl;
cout << "cumsum(A) = " << cumsum(A) << endl;
cout << "cumsum(A,1) = " << cumsum(A, 1) << endl;
cout << "cumsum(A,2) = " << cumsum(A, 2) << endl << endl;
cout << "prod(A) = " << prod(A) << endl;
cout << "prod(A,1) = " << prod(A, 1) << endl;
cout << "prod(A,2) = " << prod(A, 2) << endl << endl;
cout << "sum_sqr(A) = " << sum_sqr(A) << endl;
cout << "sum_sqr(A,1) = " << sum_sqr(A, 1) << endl;
cout << "sum_sqr(A,2) = " << sum_sqr(A, 2) << endl << endl;
cout << "repmat(a, 1, 3) = " << repmat(a, 1, 3) << endl;
cout << "repmat(a, 3, 1, true) = " << repmat(a, 3, 1, true) << endl;
cout << "repmat(A, 2, 2) = " << repmat(A, 2, 2) << endl << endl;
cout << "Kronecker test" << endl;
mat X = to_mat(randi(2, 2, 1, 4));
mat Y = randn(3, 3);
cout << "X = " << X << endl;
cout << "Y = " << Y << endl;
cout << "kron(X, Y) = " << kron(X, Y) << endl << endl;
cout << "sqrtm of a real matrix" << endl;
A = randn(3, 3);
cmat A_sqrtm = sqrtm(A);
cout << "A = " << A << endl;
cout << "norm(sqrtm(A) * sqrtm(A) - A) = "
<< round_to_zero(norm(A_sqrtm * A_sqrtm - to_cmat(A)), 1e-13)
<< endl << endl;
cout << "sqrtm of a complex matrix" << endl;
cmat B = randn_c(3, 3);
cmat B_sqrtm = sqrtm(B);
cout << "B = " << B << endl;
cout << "norm(sqrtm(B) * sqrtm(B) - B) = "
<< round_to_zero(norm(B_sqrtm * B_sqrtm - B), 1e-13) << endl << endl;
cout << "Rank test" << endl;
A = randn(3, 3);
cout << "A = " << A << endl;
cout << "rank(A) = " << itpp::rank(A) << endl;
A.set_row(1, 3.0 * A.get_row(0));
cout << "A2 = " << A << endl;
cout << "rank(A2) = " << itpp::rank(A) << endl;
B = randn_c(3, 3);
cout << "B = " << B << endl;
cout << "rank(B) = " << itpp::rank(B) << endl;
B.set_col(1, B.get_col(0));
cout << "B2 = " << B << endl;
cout << "rank(B2) = " << itpp::rank(B) << endl;
return 0;
}
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