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/*
Copyright (C) 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_poly.h"
#include "fmpz_poly_mat.h"
void
fmpz_poly_mat_det(fmpz_poly_t det, const fmpz_poly_mat_t A)
{
slong n = A->r;
if (n == 0)
{
fmpz_poly_set_ui(det, UWORD(1));
}
else if (n == 1)
{
fmpz_poly_set(det, fmpz_poly_mat_entry(A, 0, 0));
}
else if (n == 2)
{
fmpz_poly_t tmp;
fmpz_poly_init(tmp);
fmpz_poly_mul(det, fmpz_poly_mat_entry(A, 0, 0),
fmpz_poly_mat_entry(A, 1, 1));
fmpz_poly_mul(tmp, fmpz_poly_mat_entry(A, 0, 1),
fmpz_poly_mat_entry(A, 1, 0));
fmpz_poly_sub(det, det, tmp);
fmpz_poly_clear(tmp);
}
else if (n < 15) /* should be entry sensitive too */
{
fmpz_poly_mat_det_fflu(det, A);
}
else
{
fmpz_poly_mat_det_interpolate(det, A);
}
}