/*
Copyright (C) 2023 Jean Kieffer
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_mat.h"
#include "acb_theta.h"
int
sp2gz_is_trig(const fmpz_mat_t mat)
{
slong g = sp2gz_dim(mat);
fmpz_mat_t alpha, gamma;
int res;
fmpz_mat_window_init(alpha, mat, 0, 0, g, g);
fmpz_mat_window_init(gamma, mat, g, 0, 2 * g, g);
res = fmpz_mat_is_one(alpha) && fmpz_mat_is_zero(gamma);
fmpz_mat_window_clear(alpha);
fmpz_mat_window_clear(gamma);
return res;
}