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/*
Copyright (C) 2012, 2013 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 "fmpr.h"
slong
_fmpr_add_1x1(fmpr_t z,
mp_limb_t x, int xsign, const fmpz_t xexp,
mp_limb_t y, int ysign, const fmpz_t yexp,
slong shift, slong prec, slong rnd)
{
mp_limb_t hi, lo, t, u;
int sign = ysign;
t = x;
u = y;
(void) yexp; /* unused */
lo = u << shift;
hi = (shift == 0) ? 0 : (u >> (FLINT_BITS - shift));
if (xsign == ysign)
{
add_ssaaaa(hi, lo, hi, lo, 0, t);
}
else
{
if (hi == 0)
{
if (lo >= t)
{
lo = lo - t;
}
else
{
lo = t - lo;
sign = !sign;
}
}
else
{
sub_ddmmss(hi, lo, hi, lo, 0, t);
}
}
if (hi == 0)
return fmpr_set_round_ui_2exp_fmpz(z, lo, xexp, sign, prec, rnd);
else
return fmpr_set_round_uiui_2exp_fmpz(z, hi, lo, xexp, sign, prec, rnd);
}
static slong
_fmpr_add_special(fmpr_t z, const fmpr_t x, const fmpr_t y, slong prec, fmpr_rnd_t rnd)
{
if (fmpr_is_zero(x))
{
if (fmpr_is_zero(y))
{
fmpr_zero(z);
return FMPR_RESULT_EXACT;
}
else
return fmpr_set_round(z, y, prec, rnd);
}
else if (fmpr_is_zero(y))
{
return fmpr_set_round(z, x, prec, rnd);
}
else if (fmpr_is_nan(x) || fmpr_is_nan(y)
|| (fmpr_is_pos_inf(x) && fmpr_is_neg_inf(y))
|| (fmpr_is_neg_inf(x) && fmpr_is_pos_inf(y)))
{
fmpr_nan(z);
return FMPR_RESULT_EXACT;
}
else if (fmpr_is_special(x))
{
fmpr_set(z, x);
return FMPR_RESULT_EXACT;
}
else
{
fmpr_set(z, y);
return FMPR_RESULT_EXACT;
}
}
slong
fmpr_add(fmpr_t z, const fmpr_t x, const fmpr_t y, slong prec, fmpr_rnd_t rnd)
{
slong shift, xn, yn;
mp_limb_t xtmp, ytmp;
mp_ptr xptr, yptr;
fmpz xv, yv;
const fmpz * xexp;
const fmpz * yexp;
int xsign, ysign;
if (fmpr_is_special(x) || fmpr_is_special(y))
{
return _fmpr_add_special(z, x, y, prec, rnd);
}
shift = _fmpz_sub_small(fmpr_expref(y), fmpr_expref(x));
if (shift >= 0)
{
xexp = fmpr_expref(x);
yexp = fmpr_expref(y);
xv = *fmpr_manref(x);
yv = *fmpr_manref(y);
}
else
{
xexp = fmpr_expref(y);
yexp = fmpr_expref(x);
xv = *fmpr_manref(y);
yv = *fmpr_manref(x);
shift = -shift;
}
FMPZ_GET_MPN_READONLY(xsign, xn, xptr, xtmp, xv)
FMPZ_GET_MPN_READONLY(ysign, yn, yptr, ytmp, yv)
if ((xn == 1) && (yn == 1) && (shift < FLINT_BITS))
return _fmpr_add_1x1(z, xptr[0], xsign, xexp, yptr[0], ysign, yexp, shift, prec, rnd);
else
return _fmpr_add_mpn(z, xptr, xn, xsign, xexp, yptr, yn, ysign, yexp, shift, prec, rnd);
}
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