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/*
Copyright (C) 2015 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_asin(acb_t res, const acb_t z, slong prec)
{
if (arb_is_zero(acb_realref(z)))
{
arb_asinh(acb_imagref(res), acb_imagref(z), prec);
arb_zero(acb_realref(res));
}
else
{
acb_t t;
acb_init(t);
acb_mul(t, z, z, prec);
acb_sub_ui(t, t, 1, prec);
acb_neg(t, t);
acb_sqrt(t, t, prec);
if (acb_is_real(z) && acb_is_real(t))
{
arb_atan2(acb_realref(res), acb_realref(z), acb_realref(t), prec);
arb_zero(acb_imagref(res));
}
else
{
acb_mul_onei(res, z);
acb_add(res, res, t, prec);
acb_log(res, res, prec);
acb_div_onei(res, res);
}
acb_clear(t);
}
}