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Diffstat (limited to 'Build/source/libs/mpfr/mpfr-3.1.3/src/log2.c')
-rw-r--r-- | Build/source/libs/mpfr/mpfr-3.1.3/src/log2.c | 142 |
1 files changed, 142 insertions, 0 deletions
diff --git a/Build/source/libs/mpfr/mpfr-3.1.3/src/log2.c b/Build/source/libs/mpfr/mpfr-3.1.3/src/log2.c new file mode 100644 index 00000000000..4aca0f55753 --- /dev/null +++ b/Build/source/libs/mpfr/mpfr-3.1.3/src/log2.c @@ -0,0 +1,142 @@ +/* mpfr_log2 -- log base 2 + +Copyright 2001-2015 Free Software Foundation, Inc. +Contributed by the AriC and Caramel 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. */ + +#define MPFR_NEED_LONGLONG_H +#include "mpfr-impl.h" + + /* The computation of r=log2(a) + r=log2(a)=log(a)/log(2) */ + +int +mpfr_log2 (mpfr_ptr r, mpfr_srcptr a, mpfr_rnd_t rnd_mode) +{ + int inexact; + MPFR_SAVE_EXPO_DECL (expo); + + MPFR_LOG_FUNC + (("a[%Pu]=%.*Rg rnd=%d", mpfr_get_prec (a), mpfr_log_prec, a, rnd_mode), + ("r[%Pu]=%.*Rg inexact=%d", mpfr_get_prec (r), mpfr_log_prec, r, + inexact)); + + if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (a))) + { + /* If a is NaN, the result is NaN */ + if (MPFR_IS_NAN (a)) + { + MPFR_SET_NAN (r); + MPFR_RET_NAN; + } + /* check for infinity before zero */ + else if (MPFR_IS_INF (a)) + { + if (MPFR_IS_NEG (a)) + /* log(-Inf) = NaN */ + { + MPFR_SET_NAN (r); + MPFR_RET_NAN; + } + else /* log(+Inf) = +Inf */ + { + MPFR_SET_INF (r); + MPFR_SET_POS (r); + MPFR_RET (0); + } + } + else /* a is zero */ + { + MPFR_ASSERTD (MPFR_IS_ZERO (a)); + MPFR_SET_INF (r); + MPFR_SET_NEG (r); + mpfr_set_divby0 (); + MPFR_RET (0); /* log2(0) is an exact -infinity */ + } + } + + /* If a is negative, the result is NaN */ + if (MPFR_UNLIKELY (MPFR_IS_NEG (a))) + { + MPFR_SET_NAN (r); + MPFR_RET_NAN; + } + + /* If a is 1, the result is 0 */ + if (MPFR_UNLIKELY (mpfr_cmp_ui (a, 1) == 0)) + { + MPFR_SET_ZERO (r); + MPFR_SET_POS (r); + MPFR_RET (0); /* only "normal" case where the result is exact */ + } + + /* If a is 2^N, log2(a) is exact*/ + if (MPFR_UNLIKELY (mpfr_cmp_ui_2exp (a, 1, MPFR_GET_EXP (a) - 1) == 0)) + return mpfr_set_si(r, MPFR_GET_EXP (a) - 1, rnd_mode); + + MPFR_SAVE_EXPO_MARK (expo); + + /* General case */ + { + /* Declaration of the intermediary variable */ + mpfr_t t, tt; + /* Declaration of the size variable */ + mpfr_prec_t Ny = MPFR_PREC(r); /* target precision */ + mpfr_prec_t Nt; /* working precision */ + mpfr_exp_t err; /* error */ + MPFR_ZIV_DECL (loop); + + /* compute the precision of intermediary variable */ + /* the optimal number of bits : see algorithms.tex */ + Nt = Ny + 3 + MPFR_INT_CEIL_LOG2 (Ny); + + /* initialise of intermediary variable */ + mpfr_init2 (t, Nt); + mpfr_init2 (tt, Nt); + + /* First computation of log2 */ + MPFR_ZIV_INIT (loop, Nt); + for (;;) + { + /* compute log2 */ + mpfr_const_log2(t,MPFR_RNDD); /* log(2) */ + mpfr_log(tt,a,MPFR_RNDN); /* log(a) */ + mpfr_div(t,tt,t,MPFR_RNDN); /* log(a)/log(2) */ + + /* estimation of the error */ + err = Nt-3; + if (MPFR_LIKELY (MPFR_CAN_ROUND (t, err, Ny, rnd_mode))) + break; + + /* actualisation of the precision */ + MPFR_ZIV_NEXT (loop, Nt); + mpfr_set_prec (t, Nt); + mpfr_set_prec (tt, Nt); + } + MPFR_ZIV_FREE (loop); + + inexact = mpfr_set (r, t, rnd_mode); + + mpfr_clear (t); + mpfr_clear (tt); + } + + MPFR_SAVE_EXPO_FREE (expo); + return mpfr_check_range (r, inexact, rnd_mode); +} |