/* mpfr_cache -- cache interface for multi-precision const in MPFR. Copyright 2004 Free Software Foundation. This file is part of the MPFR Library. The 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 2.1 of the License, or (at your option) any later version. The 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 MPFR Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include "mpfr-impl.h" /* Global MPFR cache */ MPFR_DECL_INIT_CACHE(__gmpfr_cache_const_pi, mpfr_const_pi); MPFR_DECL_INIT_CACHE(__gmpfr_cache_const_log2, mpfr_const_log2); MPFR_DECL_INIT_CACHE(__gmpfr_cache_const_euler, mpfr_const_euler); void mpfr_init_cache (mpfr_cache_t cache, int (*func)(mpfr_ptr, mp_rnd_t)) { MPFR_PREC (cache->x) = 0; /* Invalid prec to detect that the cache is not valid. Maybe add a flag? */ cache->func = func; } 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, mp_rnd_t rnd) { mp_prec_t prec = MPFR_PREC (dest); mp_prec_t pold = MPFR_PREC (cache->x); int inexact; /* Check if the cache has been already filled */ if (MPFR_UNLIKELY(pold == 0)) mpfr_init2 (cache->x, MPFR_PREC_MIN); /* Check if we can round with the previous result */ else if (MPFR_LIKELY(prec <= pold)) goto round; /* Update the cache */ pold = prec /*MPFR_PREC_MIN + prec + __gmpfr_ceil_exp2 (prec)*/; MPFR_ASSERTD (pold >= prec); mpfr_prec_round (cache->x, pold, GMP_RNDN); cache->inexact = (*cache->func) (cache->x, GMP_RNDN); round: /* 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 */ MPFR_ASSERTD (MPFR_IS_POS(cache->x)); /* TODO...*/ /* We must use nextbelow instead of sub_one_ulp, since we know that the exact value is < 1/2ulp(x) (We want sub_demi_ulp(x)). */ inexact = mpfr_set (dest, cache->x, rnd); if (MPFR_LIKELY(cache->inexact != 0)) { switch (rnd) { case GMP_RNDZ: case GMP_RNDD: if (MPFR_UNLIKELY(inexact == 0)) { inexact = cache->inexact; if (inexact > 0) mpfr_nextbelow (dest); } break; case GMP_RNDU: if (MPFR_UNLIKELY(inexact == 0)) { inexact = cache->inexact; if (inexact < 0) mpfr_nextabove (dest); } break; default: /* GMP_RNDN */ if (MPFR_UNLIKELY(inexact == MPFR_EVEN_INEX || inexact == -MPFR_EVEN_INEX)) { if (cache->inexact < 0) mpfr_nextabove (dest); else mpfr_nextbelow (dest); inexact = -inexact; } else if (MPFR_UNLIKELY(inexact == 0)) inexact = cache->inexact; break; } } return inexact; }