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/*
Copyright (C) 2021 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 "ca.h"
void
ca_arg(ca_t res, const ca_t x, ca_ctx_t ctx)
{
if (CA_IS_SPECIAL(x))
{
if (CA_IS_SIGNED_INF(x))
{
ca_sgn(res, x, ctx);
ca_arg(res, res, ctx);
}
else if (CA_IS_UNKNOWN(x))
{
ca_unknown(res, ctx);
}
else
{
ca_undefined(res, ctx);
}
}
else if (CA_IS_QQ(x, ctx))
{
if (fmpz_sgn(CA_FMPQ_NUMREF(x)) >= 0)
{
ca_zero(res, ctx);
}
else
{
ca_pi(res, ctx);
ca_neg(res, res, ctx);
}
}
else
{
ca_t s;
qqbar_t t;
slong p;
ulong q;
ca_init(s, ctx);
qqbar_init(t);
ca_sgn(s, x, ctx);
if (ca_get_qqbar(t, s, ctx) && qqbar_log_pi_i(&p, &q, t))
{
ca_pi(res, ctx);
ca_mul_si(res, res, p, ctx);
ca_div_ui(res, res, q, ctx);
}
else
{
_ca_function_fx(res, CA_Arg, x, ctx);
}
ca_clear(s, ctx);
qqbar_clear(t);
}
}