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/*
Copyright (C) 2016 Arb authors
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "bool_mat.h"
int
bool_mat_is_transitive(const bool_mat_t mat)
{
slong n, i, j, k;
if (!bool_mat_is_square(mat))
{
flint_printf("bool_mat_is_transitive: a square matrix is required!\n");
flint_abort();
}
if (bool_mat_is_empty(mat))
return 1;
n = bool_mat_nrows(mat);
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
for (k = 0; k < n; k++)
if (bool_mat_get_entry(mat, i, j) &&
bool_mat_get_entry(mat, j, k) &&
!bool_mat_get_entry(mat, i, k))
{
return 0;
}
return 1;
}
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