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/*
Copyright (C) 2010,2011 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 "fmpz.h"
#include "fmpz_mat.h"
#include "perm.h"
static void
_fmpz_mat_det_bareiss(fmpz_t det, fmpz_mat_t tmp)
{
slong *perm, n = fmpz_mat_nrows(tmp);
perm = _perm_init(n);
fmpz_mat_fflu(tmp, det, perm, tmp, 1);
if (_perm_parity(perm, n) == 1)
fmpz_neg(det, det);
_perm_clear(perm);
}
void
fmpz_mat_det_bareiss(fmpz_t det, const fmpz_mat_t A)
{
fmpz_mat_t tmp;
if (A->r < 1)
{
fmpz_one(det);
return;
}
fmpz_mat_init_set(tmp, A);
_fmpz_mat_det_bareiss(det, tmp);
fmpz_mat_clear(tmp);
}