/** @file check_matrices.cpp
*
* Here we test manipulations on GiNaC's symbolic matrices. They are a
* well-tried resource for cross-checking the underlying symbolic
* manipulations. */
/*
* GiNaC Copyright (C) 1999-2008 Johannes Gutenberg University Mainz, Germany
*
* 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 Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include
#include // rand(), RAND_MAX
#include "ginac.h"
using namespace std;
using namespace GiNaC;
extern const ex
sparse_tree(const symbol & x, const symbol & y, const symbol & z,
int level, bool trig = false, bool rational = true,
bool complex = false);
extern const ex
dense_univariate_poly(const symbol & x, unsigned degree);
/* determinants of some sparse symbolic matrices with coefficients in
* an integral domain. */
static unsigned integdom_matrix_determinants()
{
unsigned result = 0;
symbol a("a");
for (unsigned size=3; size<22; ++size) {
matrix A(size,size);
// populate one element in each row:
for (unsigned r=0; r