niceSOFT/mpfr | Gitverse

src/sub.c
134 строки4 KB
Vincent Lefèvre
03 янв 2018, 13:53
03 янв 2018, 13:532fce388
/* mpfr_sub -- subtract two floating-point numbers

Copyright 2001-2004, 2006-2018 Free Software Foundation, Inc.
Contributed by the AriC and Caramba 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"

MPFR_HOT_FUNCTION_ATTR int
mpfr_sub (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_OR_UBF (b,c))
    {
      if (MPFR_IS_NAN (b) || MPFR_IS_NAN (c))
        {
          MPFR_SET_NAN (a);
          MPFR_RET_NAN;
        }
      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); /* Inf - Inf */
              MPFR_RET_NAN;
            }
        }
      else if (MPFR_IS_INF (c))
        {
          MPFR_SET_INF (a);
          MPFR_SET_OPPOSITE_SIGN (a, c);
          MPFR_RET (0); /* exact */
        }
      else if (MPFR_IS_ZERO (b))
        {
          if (MPFR_IS_ZERO (c))
            {
              int sign = rnd_mode != MPFR_RNDD
                ? ((MPFR_IS_NEG(b) && MPFR_IS_POS(c)) ? -1 : 1)
                : ((MPFR_IS_POS(b) && MPFR_IS_NEG(c)) ? 1 : -1);
              MPFR_SET_SIGN (a, sign);
              MPFR_SET_ZERO (a);
              MPFR_RET(0); /* 0 - 0 is exact */
            }
          else
            return mpfr_neg (a, c, rnd_mode);
        }
      else if (MPFR_IS_ZERO (c))
        {
          return mpfr_set (a, b, rnd_mode);
        }
      else
        {
          MPFR_ASSERTD (MPFR_IS_PURE_UBF (b));
          MPFR_ASSERTD (MPFR_IS_PURE_UBF (c));
          /* mpfr_sub1sp and mpfr_add1sp are not intended to support UBF,
             for which optimization is less important. */
          if (MPFR_SIGN(b) == MPFR_SIGN(c))
            return mpfr_sub1 (a, b, c, rnd_mode);
          else if (MPFR_UBF_EXP_LESS_P (b, c))
            {
              int inexact;
              rnd_mode = MPFR_INVERT_RND (rnd_mode);
              inexact = mpfr_add1 (a, c, b, rnd_mode);
              MPFR_CHANGE_SIGN (a);
              return -inexact;
            }
          else
            return mpfr_add1 (a, b, c, rnd_mode);
        }
    }

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

  if (MPFR_LIKELY (MPFR_SIGN (b) == MPFR_SIGN (c)))
    { /* signs are equal, it's a real 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 differ, it's an addition */
      if (MPFR_GET_EXP (b) < MPFR_GET_EXP (c))
         { /* exchange rounding modes toward +/- infinity */
          int inexact;
          rnd_mode = MPFR_INVERT_RND (rnd_mode);
          if (MPFR_LIKELY (MPFR_PREC (a) == MPFR_PREC (b)
                           && MPFR_PREC (b) == MPFR_PREC (c)))
            inexact = mpfr_add1sp (a, c, b, rnd_mode);
          else
            inexact = mpfr_add1 (a, c, b, rnd_mode);
          MPFR_CHANGE_SIGN (a);
          return -inexact;
        }
      else
        {
          if (MPFR_LIKELY (MPFR_PREC (a) == MPFR_PREC (b)
                           && MPFR_PREC (b) == MPFR_PREC (c)))
            return mpfr_add1sp (a, b, c, rnd_mode);
          else
            return mpfr_add1 (a, b, c, rnd_mode);
        }
    }
}