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/*
Copyright (C) 2012, 2013 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 "arb.h"
void
arb_pow_fmpq(arb_t y, const arb_t x, const fmpq_t a, slong prec)
{
if (fmpz_is_one(fmpq_denref(a)))
{
arb_pow_fmpz(y, x, fmpq_numref(a), prec);
}
else
{
int use_exp;
slong k = *fmpq_denref(a);
if (k == 2 || k == 4)
use_exp = 0;
else if (k > 1 && k < 50)
use_exp = prec < (WORD(1) << ((k / 8) + 8));
else
use_exp = 1;
if (use_exp)
{
arb_log(y, x, prec + 10);
arb_mul_fmpz(y, y, fmpq_numref(a), prec + 10);
arb_div_fmpz(y, y, fmpq_denref(a), prec + 10);
arb_exp(y, y, prec);
}
else
{
arb_root_ui(y, x, k, prec);
arb_pow_fmpz(y, y, fmpq_numref(a), prec);
}
}
}