mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
129 lines
3.7 KiB
C
129 lines
3.7 KiB
C
/*=============================================================================
|
|
|
|
This file is part of ARB.
|
|
|
|
ARB is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ARB is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with ARB; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
|
|
|
=============================================================================*/
|
|
/******************************************************************************
|
|
|
|
Copyright (C) 2012 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include "fmpr.h"
|
|
|
|
static __inline__ void
|
|
fmpz_addmul_2exp(fmpz_t z, const fmpz_t x, const fmpz_t y, ulong shift)
|
|
{
|
|
fmpz_t t;
|
|
fmpz_init(t);
|
|
fmpz_mul_2exp(t, y, shift);
|
|
fmpz_add(z, x, t);
|
|
fmpz_clear(t);
|
|
}
|
|
|
|
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_naive(fmpr_t z, const fmpr_t x, const fmpr_t y, slong prec, fmpr_rnd_t rnd)
|
|
{
|
|
slong shift, xsize, ysize;
|
|
|
|
if (fmpr_is_special(x) || fmpr_is_special(y))
|
|
{
|
|
return _fmpr_add_special(z, x, y, prec, rnd);
|
|
}
|
|
|
|
shift = _fmpz_sub_small(fmpr_expref(x), fmpr_expref(y));
|
|
|
|
if (shift == 0)
|
|
{
|
|
fmpz_add(fmpr_manref(z), fmpr_manref(x), fmpr_manref(y));
|
|
fmpz_set(fmpr_expref(z), fmpr_expref(x));
|
|
}
|
|
else if (shift > 0)
|
|
{
|
|
ysize = _fmpz_size(fmpr_manref(y)) * FLINT_BITS;
|
|
|
|
/* x and y do not overlap */
|
|
if (shift > ysize && prec != FMPR_PREC_EXACT)
|
|
{
|
|
/* y does not overlap with result */
|
|
if (ysize + prec - (slong) fmpz_bits(fmpr_manref(x)) < shift)
|
|
{
|
|
return _fmpr_add_eps(z, x, fmpz_sgn(fmpr_manref(y)), prec, rnd);
|
|
}
|
|
}
|
|
|
|
fmpz_addmul_2exp(fmpr_manref(z), fmpr_manref(y), fmpr_manref(x), shift);
|
|
fmpz_set(fmpr_expref(z), fmpr_expref(y));
|
|
}
|
|
else
|
|
{
|
|
shift = -shift;
|
|
|
|
xsize = _fmpz_size(fmpr_manref(x)) * FLINT_BITS;
|
|
|
|
/* x and y do not overlap */
|
|
if (shift > xsize && prec != FMPR_PREC_EXACT)
|
|
{
|
|
/* y does not overlap with result */
|
|
if (xsize + prec - (slong) fmpz_bits(fmpr_manref(y)) < shift)
|
|
{
|
|
return _fmpr_add_eps(z, y, fmpz_sgn(fmpr_manref(x)), prec, rnd);
|
|
}
|
|
}
|
|
|
|
fmpz_addmul_2exp(fmpr_manref(z), fmpr_manref(x), fmpr_manref(y), shift);
|
|
fmpz_set(fmpr_expref(z), fmpr_expref(x));
|
|
}
|
|
|
|
return _fmpr_normalise(fmpr_manref(z), fmpr_expref(z), prec, rnd);
|
|
}
|
|
|