/* mpfr_cache -- cache interface for multiple-precision constants in MPFR. Copyright 2004-2018 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" #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_UNLIKELY (MPFR_PREC (cache->x) != 0)) { /* Get the cache in read-write mode */ MPFR_LOCK_WRITE(cache->lock); if (MPFR_LIKELY (MPFR_PREC (cache->x) != 0)) { mpfr_clear (cache->x); MPFR_PREC (cache->x) = 0; } /* Free the cache in read-write mode */ MPFR_UNLOCK_WRITE(cache->lock); } } 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; int inexact, sign; MPFR_SAVE_EXPO_DECL (expo); /* Call the initialisation function of the cache if it's needed */ MPFR_DEFERRED_INIT_CALL(cache); MPFR_SAVE_EXPO_MARK (expo); /* Get the cache in read-only mode */ MPFR_LOCK_READ(cache->lock); /* Read the precision within the cache */ pold = MPFR_PREC (cache->x); if (MPFR_UNLIKELY (prec > pold)) { /* Free the cache in read-only mode */ /* And get the cache in read-write mode */ MPFR_LOCK_READ2WRITE(cache->lock); /* Retest the precision once we get the lock. If there is no lock, there is no harm in this code */ pold = MPFR_PREC (cache->x); if (MPFR_LIKELY (prec > pold)) { /* No previous result in the cache or the precision of the previous result is not sufficient. We increase the cache size by at least 10% to avoid invalidating the cache many times if one performs several computations with small increase of precision. */ if (MPFR_UNLIKELY (pold == 0)) /* No previous result. */ mpfr_init2 (cache->x, prec); /* as pold = prec below */ else pold += pold / 10; /* Update the cache. */ if (pold < prec) pold = prec; /* no need to keep the previous value */ mpfr_set_prec (cache->x, pold); cache->inexact = (*cache->func) (cache->x, MPFR_RNDN); } /* Free the cache in read-write mode */ /* Get the cache in read-only mode */ MPFR_LOCK_WRITE2READ(cache->lock); } /* now pold >= prec is the precision of cache->x */ MPFR_ASSERTD (pold >= prec); MPFR_ASSERTD (MPFR_PREC (cache->x) == pold); /* 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_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); ); /* Rather a likely, this is a 100% succes rate for all constants of MPFR */ 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); /* Free the cache in read-only mode */ MPFR_UNLOCK_READ(cache->lock); return mpfr_check_range (dest, inexact, rnd); }