buildtools/gcc/mpfr/cache.c

/* mpfr_cache -- cache interface for multiple-precision constants in MPFR.

Copyright 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao 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"

#if 0 /* this function is not used/documented/tested so far, it could be
         useful if some user wants to add a new constant to mpfr, and
         implement a cache mechanism for that constant */
void
mpfr_init_cache (mpfr_cache_t cache, int (*func)(mpfr_ptr, mpfr_rnd_t))
{
  MPFR_PREC (cache->x) = 0; /* Invalid prec to detect that the cache is not
                               valid. Maybe add a flag? */
  cache->func = func;
}
#endif

void
mpfr_clear_cache (mpfr_cache_t cache)
{
  if (MPFR_PREC (cache->x) != 0)
    mpfr_clear (cache->x);
  MPFR_PREC (cache->x) = 0;
}

int
mpfr_cache (mpfr_ptr dest, mpfr_cache_t cache, mpfr_rnd_t rnd)
{
  mpfr_prec_t prec = MPFR_PREC (dest);
  mpfr_prec_t pold = MPFR_PREC (cache->x);
  int inexact, sign;
  MPFR_SAVE_EXPO_DECL (expo);

  MPFR_SAVE_EXPO_MARK (expo);

  if (MPFR_UNLIKELY (prec > pold))
    {
      /* No previous result in the cache or the precision of the
         previous result is not sufficient. */

      if (MPFR_UNLIKELY (pold == 0))  /* No previous result. */
        mpfr_init2 (cache->x, prec);

      /* Update the cache. */
      pold = prec;
      /* no need to keep the previous value */
      mpfr_set_prec (cache->x, pold);
      cache->inexact = (*cache->func) (cache->x, MPFR_RNDN);
    }

  /* now pold >= prec is the precision of cache->x */

  /* First, check if the cache has the exact value (unlikely).
     Else the exact value is between (assuming x=cache->x > 0):
       x and x+ulp(x) if cache->inexact < 0,
       x-ulp(x) and x if cache->inexact > 0,
     and abs(x-exact) <= ulp(x)/2. */

  /* we assume all cached constants are positive */
  MPFR_ASSERTN (MPFR_IS_POS (cache->x)); /* TODO... */
  sign = MPFR_SIGN (cache->x);
  MPFR_SET_EXP (dest, MPFR_GET_EXP (cache->x));
  MPFR_SET_SIGN (dest, sign);

  /* round cache->x from precision pold down to precision prec */
  MPFR_RNDRAW_GEN (inexact, dest,
                   MPFR_MANT (cache->x), pold, rnd, sign,
                   if (MPFR_UNLIKELY (cache->inexact == 0))
                     {
                       if ((_sp[0] & _ulp) == 0)
                         {
                           inexact = -sign;
                           goto trunc_doit;
                         }
                       else
                         goto addoneulp;
                     }
                   else if (cache->inexact < 0)
                     goto addoneulp;
                   else /* cache->inexact > 0 */
                     {
                       inexact = -sign;
                       goto trunc_doit;
                     },
                   if (MPFR_UNLIKELY (++MPFR_EXP (dest) > __gmpfr_emax))
                     mpfr_overflow (dest, rnd, sign);
                  );

  if (MPFR_LIKELY (cache->inexact != 0))
    {
      switch (rnd)
        {
        case MPFR_RNDZ:
        case MPFR_RNDD:
          if (MPFR_UNLIKELY (inexact == 0))
            {
              inexact = cache->inexact;
              if (inexact > 0)
                {
                  mpfr_nextbelow (dest);
                  inexact = -inexact;
                }
            }
          break;
        case MPFR_RNDU:
        case MPFR_RNDA:
          if (MPFR_UNLIKELY (inexact == 0))
            {
              inexact = cache->inexact;
              if (inexact < 0)
                {
                  mpfr_nextabove (dest);
                  inexact = -inexact;
                }
            }
          break;
        default: /* MPFR_RNDN */
          if (MPFR_UNLIKELY(inexact == 0))
            inexact = cache->inexact;
          break;
        }
    }

  MPFR_SAVE_EXPO_FREE (expo);
  return mpfr_check_range (dest, inexact, rnd);
}