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/*
Copyright (C) 2016 Arb authors
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 "acb.h"
#include "acb_mat.h"
void
acb_mat_frobenius_norm(arb_t res, const acb_mat_t A, slong prec)
{
slong i, j, r, c;
r = acb_mat_nrows(A);
c = acb_mat_ncols(A);
arb_zero(res);
if (r == 0 || c == 0)
return;
for (i = 0; i < r; i++)
{
for (j = 0; j < c; j++)
{
acb_srcptr z = acb_mat_entry(A, i, j);
arb_addmul(res, acb_realref(z), acb_realref(z), prec);
arb_addmul(res, acb_imagref(z), acb_imagref(z), prec);
}
}
arb_sqrtpos(res, res, prec);
}