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/*
Copyright (C) 2024 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 "mpn_mod.h"
#include "gr.h"
#include "gr_mat.h"
int
mpn_mod_mat_det(nn_ptr res, const gr_mat_t A, gr_ctx_t ctx)
{
slong n = A->r;
if (A->r != A->c)
return GR_DOMAIN;
if (n <= 4)
return gr_mat_det_cofactor(res, A, ctx);
if (n == 5)
return gr_mat_det_berkowitz(res, A, ctx);
if (gr_mat_det_lu(res, A, ctx) != GR_SUCCESS)
{
/* Fall back on division-free algorithm if we encountered an impossible inverse */
/* Could try something else here: faddeev_bsgs (O(n^3.5)) or Howell form. */
GR_MUST_SUCCEED(gr_mat_det_berkowitz(res, A, ctx));
}
return GR_SUCCESS;
}