xref: /dragonfly/contrib/mpfr/src/add.c (revision ab6d115f)

/* mpfr_add -- add two floating-point numbers

Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
Contributed by the AriC and Caramel projects, INRIA.

This file is part of the GNU MPFR Library.

The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.

The GNU MPFR Library 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 Lesser General Public
License for more details.

You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */

#include "mpfr-impl.h"

int
mpfr_add (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode)
{
  MPFR_LOG_FUNC
    (("b[%Pu]=%.*Rg c[%Pu]=%.*Rg rnd=%d",
      mpfr_get_prec (b), mpfr_log_prec, b,
      mpfr_get_prec (c), mpfr_log_prec, c, rnd_mode),
     ("a[%Pu]=%.*Rg", mpfr_get_prec (a), mpfr_log_prec, a));

  if (MPFR_ARE_SINGULAR(b,c))
    {
      if (MPFR_IS_NAN(b) || MPFR_IS_NAN(c))
        {
          MPFR_SET_NAN(a);
          MPFR_RET_NAN;
        }
      /* neither b nor c is NaN here */
      else if (MPFR_IS_INF(b))
        {
          if (!MPFR_IS_INF(c) || MPFR_SIGN(b) == MPFR_SIGN(c))
            {
              MPFR_SET_INF(a);
              MPFR_SET_SAME_SIGN(a, b);
              MPFR_RET(0); /* exact */
            }
          else
            {
              MPFR_SET_NAN(a);
              MPFR_RET_NAN;
            }
        }
      else if (MPFR_IS_INF(c))
          {
            MPFR_SET_INF(a);
            MPFR_SET_SAME_SIGN(a, c);
            MPFR_RET(0); /* exact */
          }
      /* now either b or c is zero */
      else if (MPFR_IS_ZERO(b))
        {
          if (MPFR_IS_ZERO(c))
            {
              /* for round away, we take the same convention for 0 + 0
                 as for round to zero or to nearest: it always gives +0,
                 except (-0) + (-0) = -0. */
              MPFR_SET_SIGN(a,
                            (rnd_mode != MPFR_RNDD ?
                             ((MPFR_IS_NEG(b) && MPFR_IS_NEG(c)) ? -1 : 1) :
                             ((MPFR_IS_POS(b) && MPFR_IS_POS(c)) ? 1 : -1)));
              MPFR_SET_ZERO(a);
              MPFR_RET(0); /* 0 + 0 is exact */
            }
          return mpfr_set (a, c, rnd_mode);
        }
      else
        {
          MPFR_ASSERTD(MPFR_IS_ZERO(c));
          return mpfr_set (a, b, rnd_mode);
        }
    }

  MPFR_ASSERTD (MPFR_IS_PURE_FP (b));
  MPFR_ASSERTD (MPFR_IS_PURE_FP (c));

  if (MPFR_UNLIKELY(MPFR_SIGN(b) != MPFR_SIGN(c)))
    { /* signs differ, it is a subtraction */
      if (MPFR_LIKELY(MPFR_PREC(a) == MPFR_PREC(b)
                      && MPFR_PREC(b) == MPFR_PREC(c)))
        return mpfr_sub1sp(a, b, c, rnd_mode);
      else
        return mpfr_sub1(a, b, c, rnd_mode);
    }
  else
    { /* signs are equal, it's an addition */
      if (MPFR_LIKELY(MPFR_PREC(a) == MPFR_PREC(b)
                      && MPFR_PREC(b) == MPFR_PREC(c)))
        if (MPFR_GET_EXP(b) < MPFR_GET_EXP(c))
          return mpfr_add1sp(a, c, b, rnd_mode);
        else
          return mpfr_add1sp(a, b, c, rnd_mode);
      else
        if (MPFR_GET_EXP(b) < MPFR_GET_EXP(c))
          return mpfr_add1(a, c, b, rnd_mode);
        else
          return mpfr_add1(a, b, c, rnd_mode);
    }
}