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/*
Copyright (C) 2014 Fredrik Johansson
This file is part of Arb.
Arb 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 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "mag.h"
void
mag_pow_fmpz(mag_t z, const mag_t x, const fmpz_t e)
{
if (fmpz_sgn(e) < 0)
{
fmpz_t t;
fmpz_init(t);
fmpz_neg(t, e);
mag_inv(z, x);
mag_pow_fmpz(z, z, t);
fmpz_clear(t);
}
else if (!COEFF_IS_MPZ(*e))
{
mag_pow_ui(z, x, fmpz_get_ui(e));
}
else
{
mag_t y;
mp_srcptr elimbs;
slong i, bits;
mag_init_set(y, x);
bits = fmpz_bits(e);
elimbs = COEFF_TO_PTR(*e)->_mp_d;
for (i = bits - 2; i >= 0; i--)
{
mag_mul(y, y, y);
if ((elimbs[i / FLINT_BITS] >> (i % FLINT_BITS)) & 1)
mag_mul(y, y, x);
}
mag_swap(z, y);
mag_clear(y);
}
}
void
mag_pow_fmpz_lower(mag_t z, const mag_t x, const fmpz_t e)
{
if (fmpz_sgn(e) < 0)
{
fmpz_t t;
fmpz_init(t);
fmpz_neg(t, e);
mag_inv_lower(z, x);
mag_pow_fmpz_lower(z, z, t);
fmpz_clear(t);
}
else if (!COEFF_IS_MPZ(*e))
{
mag_pow_ui_lower(z, x, fmpz_get_ui(e));
}
else
{
mag_t y;
mp_srcptr elimbs;
slong i, bits;
mag_init_set(y, x);
bits = fmpz_bits(e);
elimbs = COEFF_TO_PTR(*e)->_mp_d;
for (i = bits - 2; i >= 0; i--)
{
mag_mul_lower(y, y, y);
if ((elimbs[i / FLINT_BITS] >> (i % FLINT_BITS)) & 1)
mag_mul_lower(y, y, x);
}
mag_swap(z, y);
mag_clear(y);
}
}
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