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/*
Copyright (C) 2014 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 "acb.h"
void
acb_get_abs_lbound_arf(arf_t u, const acb_t z, slong prec)
{
if (arb_is_zero(acb_imagref(z)))
{
arb_get_abs_lbound_arf(u, acb_realref(z), prec);
}
else if (arb_is_zero(acb_realref(z)))
{
arb_get_abs_lbound_arf(u, acb_imagref(z), prec);
}
else
{
arf_t v;
arf_init(v);
arb_get_abs_lbound_arf(u, acb_realref(z), prec);
arb_get_abs_lbound_arf(v, acb_imagref(z), prec);
arf_mul(u, u, u, prec, ARF_RND_DOWN);
arf_mul(v, v, v, prec, ARF_RND_DOWN);
arf_add(u, u, v, prec, ARF_RND_DOWN);
arf_sqrt(u, u, prec, ARF_RND_DOWN);
arf_clear(v);
}
}