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196 lines
6.3 KiB
C
196 lines
6.3 KiB
C
/* mpfr_cache -- cache interface for multiple-precision constants in MPFR.
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Copyright 2004-2025 Free Software Foundation, Inc.
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Contributed by the Pascaline and Caramba projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER.
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If not, see <https://www.gnu.org/licenses/>. */
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#include "mpfr-impl.h"
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#if 0 /* this function is not used/documented/tested so far, it could be
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useful if some user wants to add a new constant to mpfr, and
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implement a cache mechanism for that constant */
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void
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mpfr_init_cache (mpfr_cache_t cache, int (*func)(mpfr_ptr, mpfr_rnd_t))
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{
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MPFR_PREC (cache->x) = 0; /* Invalid prec to detect that the cache is not
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valid. Maybe add a flag? */
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cache->func = func;
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}
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#endif
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void
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mpfr_clear_cache (mpfr_cache_t cache)
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{
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if (MPFR_UNLIKELY (MPFR_PREC (cache->x) != 0))
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{
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/* Get the cache in read-write mode */
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MPFR_LOCK_WRITE(cache->lock);
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if (MPFR_LIKELY (MPFR_PREC (cache->x) != 0))
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{
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mpfr_clear (cache->x);
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MPFR_PREC (cache->x) = 0;
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}
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/* Free the cache in read-write mode */
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MPFR_UNLOCK_WRITE(cache->lock);
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}
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}
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int
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mpfr_cache (mpfr_ptr dest, mpfr_cache_t cache, mpfr_rnd_t rnd)
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{
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mpfr_prec_t dprec = MPFR_PREC (dest);
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mpfr_prec_t cprec; /* precision of the cache */
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int inexact, sign;
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MPFR_SAVE_EXPO_DECL (expo);
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/* Call the initialisation function of the cache if it's needed */
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MPFR_DEFERRED_INIT_CALL(cache);
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MPFR_SAVE_EXPO_MARK (expo);
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/* Get the cache in read-only mode */
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MPFR_LOCK_READ(cache->lock);
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/* Read the precision within the cache */
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cprec = MPFR_PREC (cache->x);
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if (MPFR_UNLIKELY (dprec > cprec))
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{
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/* Free the cache in read-only mode */
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/* And get the cache in read-write mode */
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MPFR_LOCK_READ2WRITE(cache->lock);
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/* Retest the precision once we get the lock (since it might have
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changed). If there is no lock, there is no harm in this code. */
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cprec = MPFR_PREC (cache->x);
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if (MPFR_LIKELY (dprec > cprec))
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{
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/* No previous result in the cache or the precision of the
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previous result is not sufficient. */
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if (MPFR_UNLIKELY (cprec == 0)) /* No previous result. */
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{
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cprec = dprec;
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mpfr_init2 (cache->x, cprec);
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}
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else
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{
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/* We increase the cache size by at least 10% to avoid
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invalidating the cache many times if one performs
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several computations with small increase of precision. */
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cprec += cprec / 10;
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if (cprec < dprec)
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cprec = dprec;
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/* no need to keep the previous value */
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mpfr_set_prec (cache->x, cprec);
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}
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cache->inexact = (*cache->func) (cache->x, MPFR_RNDN);
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}
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/* Free the cache in read-write mode */
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/* Get the cache in read-only mode */
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MPFR_LOCK_WRITE2READ(cache->lock);
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}
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/* now cprec >= dprec is the precision of cache->x */
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MPFR_ASSERTD (cprec >= dprec);
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MPFR_ASSERTD (MPFR_PREC (cache->x) == cprec);
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/* First, check if the cache has the exact value (unlikely).
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Else the exact value is between (assuming x=cache->x > 0):
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x and x+ulp(x) if cache->inexact < 0,
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x-ulp(x) and x if cache->inexact > 0,
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and abs(x-exact) <= ulp(x)/2. */
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/* we assume all cached constants are positive */
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MPFR_ASSERTN (MPFR_IS_POS (cache->x)); /* TODO... */
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sign = MPFR_SIGN (cache->x);
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MPFR_EXP (dest) = MPFR_GET_EXP (cache->x);
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MPFR_SET_SIGN (dest, sign);
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/* round cache->x from precision cprec down to precision dprec;
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since we are in extended exponent range, for the values considered
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here, an overflow is not possible (and wouldn't make much sense). */
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MPFR_RNDRAW_GEN (inexact, dest,
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MPFR_MANT (cache->x), cprec, rnd, sign,
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if (MPFR_UNLIKELY (cache->inexact == 0))
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{
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if ((_sp[0] & _ulp) == 0)
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{
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inexact = -sign;
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goto trunc_doit;
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}
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else
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goto addoneulp;
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}
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else if (cache->inexact < 0)
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goto addoneulp;
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else /* cache->inexact > 0 */
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{
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inexact = -sign;
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goto trunc_doit;
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},
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MPFR_EXP (dest) ++;
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MPFR_ASSERTD (MPFR_EXP (dest) <= __gmpfr_emax);
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);
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/* Rather a likely, this is a 100% success rate for
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all constants of MPFR */
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if (MPFR_LIKELY (cache->inexact != 0))
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{
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switch (rnd)
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{
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case MPFR_RNDZ:
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case MPFR_RNDD:
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if (MPFR_UNLIKELY (inexact == 0))
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{
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inexact = cache->inexact;
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if (inexact > 0)
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{
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mpfr_nextbelow (dest);
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inexact = -inexact;
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}
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}
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break;
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case MPFR_RNDU:
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case MPFR_RNDA:
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if (MPFR_UNLIKELY (inexact == 0))
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{
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inexact = cache->inexact;
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if (inexact < 0)
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{
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mpfr_nextabove (dest);
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inexact = -inexact;
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}
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}
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break;
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default: /* MPFR_RNDN */
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if (MPFR_UNLIKELY(inexact == 0))
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inexact = cache->inexact;
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break;
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}
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}
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MPFR_SAVE_EXPO_FREE (expo);
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/* Free the cache in read-only mode */
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MPFR_UNLOCK_READ(cache->lock);
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return mpfr_check_range (dest, inexact, rnd);
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}
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