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/*
Copyright (C) 2020 Fredrik Johansson
This file is part of FLINT.
FLINT 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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "perm.h"
#include "ca_mat.h"
int
ca_mat_det_bareiss(ca_t res, const ca_mat_t A, ca_ctx_t ctx)
{
truth_t invertible;
slong * P;
ca_mat_t T;
slong n;
n = ca_mat_nrows(A);
P = _perm_init(n);
ca_mat_init(T, n, n, ctx);
invertible = ca_mat_nonsingular_fflu(P, T, res, A, ctx);
if (invertible == T_FALSE)
{
ca_zero(res, ctx);
}
else if (invertible == T_TRUE)
{
if (_perm_parity(P, n))
ca_neg(res, res, ctx);
}
else
{
ca_unknown(res, ctx);
}
ca_mat_clear(T, ctx);
_perm_clear(P);
return invertible != T_UNKNOWN;
}