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/*
Copyright (C) 2014 Alex J. Best
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"
void
fmpz_mat_snf(fmpz_mat_t S, const fmpz_mat_t A)
{
fmpz_t det;
slong m = A->r, n = A->c, b = fmpz_mat_max_bits(A), cutoff = 9;
if (b <= 2)
cutoff = 15;
else if (b <= 4)
cutoff = 13;
else if (b <= 8)
cutoff = 13;
else if (b <= 16)
cutoff = 11;
else if (b <= 32)
cutoff = 11;
else if (b <= 64)
cutoff = 10;
if (FLINT_MAX(m, n) < cutoff || m != n)
fmpz_mat_snf_kannan_bachem(S, A);
else
{
fmpz_init(det);
fmpz_mat_det(det, A);
if (!fmpz_is_zero(det))
{
fmpz_abs(det, det);
fmpz_mat_snf_iliopoulos(S, A, det);
}
else
{
fmpz_mat_snf_kannan_bachem(S, A);
}
fmpz_clear(det);
}
}