diff options
Diffstat (limited to 'Build/source/libs/mpfr/mpfr-src/src/expm1.c')
-rw-r--r-- | Build/source/libs/mpfr/mpfr-src/src/expm1.c | 172 |
1 files changed, 0 insertions, 172 deletions
diff --git a/Build/source/libs/mpfr/mpfr-src/src/expm1.c b/Build/source/libs/mpfr/mpfr-src/src/expm1.c deleted file mode 100644 index cf67f24ca55..00000000000 --- a/Build/source/libs/mpfr/mpfr-src/src/expm1.c +++ /dev/null @@ -1,172 +0,0 @@ -/* mpfr_expm1 -- Compute exp(x)-1 - -Copyright 2001-2020 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 -https://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 expm1 is done by - expm1(x)=exp(x)-1 - */ - -int -mpfr_expm1 (mpfr_ptr y, mpfr_srcptr x , mpfr_rnd_t rnd_mode) -{ - int inexact; - mpfr_exp_t ex; - MPFR_SAVE_EXPO_DECL (expo); - - MPFR_LOG_FUNC - (("x[%Pu]=%.*Rg rnd=%d", mpfr_get_prec (x), mpfr_log_prec, x, rnd_mode), - ("y[%Pu]=%.*Rg inexact=%d", mpfr_get_prec (y), mpfr_log_prec, y, - inexact)); - - if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x))) - { - if (MPFR_IS_NAN (x)) - { - MPFR_SET_NAN (y); - MPFR_RET_NAN; - } - /* check for inf or -inf (expm1(-inf)=-1) */ - else if (MPFR_IS_INF (x)) - { - if (MPFR_IS_POS (x)) - { - MPFR_SET_INF (y); - MPFR_SET_POS (y); - MPFR_RET (0); - } - else - return mpfr_set_si (y, -1, rnd_mode); - } - else - { - MPFR_ASSERTD (MPFR_IS_ZERO (x)); - MPFR_SET_ZERO (y); /* expm1(+/- 0) = +/- 0 */ - MPFR_SET_SAME_SIGN (y, x); - MPFR_RET (0); - } - } - - ex = MPFR_GET_EXP (x); - if (ex < 0) - { - /* For -1 < x < 0, abs(expm1(x)-x) < x^2/2. - For 0 < x < 1, abs(expm1(x)-x) < x^2. */ - if (MPFR_IS_POS (x)) - MPFR_FAST_COMPUTE_IF_SMALL_INPUT (y, x, - ex, 0, 1, rnd_mode, {}); - else - MPFR_FAST_COMPUTE_IF_SMALL_INPUT (y, x, - ex, 1, 0, rnd_mode, {}); - } - - MPFR_SAVE_EXPO_MARK (expo); - - if (MPFR_IS_NEG (x) && ex > 5) /* x <= -32 */ - { - mp_limb_t t_limb[(64 - 1) / GMP_NUMB_BITS + 1]; - mpfr_t t; - mpfr_eexp_t err; - - MPFR_TMP_INIT1(t_limb, t, 64); - /* since x < 0, to get an upper bound on x/log(2), we need to divide - by an upper bound on log(2) */ - mpfr_div (t, x, __gmpfr_const_log2_RNDU, MPFR_RNDU); /* > x / ln(2) */ - err = mpfr_get_exp_t (t, MPFR_RNDU); - MPFR_ASSERTD (err < 0); - err = err < - MPFR_EXP_MAX ? MPFR_EXP_MAX : - err; - /* err = -max(ceil(t),-MPFR_EXP_MAX). */ - MPFR_LOG_MSG (("err=%" MPFR_EXP_FSPEC "d\n", err)); - /* exp(x) = 2^(x/ln(2)) - <= 2^max(-MPFR_EXP_MAX,ceil(x/ln(2)+epsilon)) - with epsilon > 0 */ - MPFR_SMALL_INPUT_AFTER_SAVE_EXPO (y, __gmpfr_mone, (mpfr_exp_t) err, - 0, 0, rnd_mode, expo, {}); - } - - /* General case */ - { - /* Declaration of the intermediary variable */ - mpfr_t t; - /* Declaration of the size variable */ - mpfr_prec_t Ny = MPFR_PREC(y); /* target precision */ - mpfr_prec_t Nt; /* working precision */ - mpfr_exp_t err, exp_te; /* error */ - MPFR_ZIV_DECL (loop); - - /* compute the precision of intermediary variable */ - /* the optimal number of bits : see algorithms.tex */ - Nt = Ny + MPFR_INT_CEIL_LOG2 (Ny) + 6; - - /* if |x| is smaller than 2^(-e), we will loose about e bits in the - subtraction exp(x) - 1 */ - if (ex < 0) - Nt += - ex; - - /* initialize auxiliary variable */ - mpfr_init2 (t, Nt); - - /* First computation of expm1 */ - MPFR_ZIV_INIT (loop, Nt); - for (;;) - { - MPFR_BLOCK_DECL (flags); - - /* exp(x) may overflow and underflow */ - MPFR_BLOCK (flags, mpfr_exp (t, x, MPFR_RNDN)); - - if (MPFR_OVERFLOW (flags)) /* overflow case */ - { - inexact = mpfr_overflow (y, rnd_mode, MPFR_SIGN_POS); - MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, MPFR_FLAGS_OVERFLOW); - break; - } - - /* To get an underflow in exp(x), we need exp(x) < 0.5*2^MPFR_EMIN_MIN - thus x/log(2) < MPFR_EMIN_MIN-1. But in that case the above - MPFR_SMALL_INPUT_AFTER_SAVE_EXPO() will return the result. */ - MPFR_ASSERTD(!MPFR_UNDERFLOW (flags)); - - exp_te = MPFR_GET_EXP (t); - mpfr_sub_ui (t, t, 1, MPFR_RNDN); /* exp(x)-1 */ - - /* error estimate */ - /*err=Nt-(__gmpfr_ceil_log2(1+pow(2,MPFR_EXP(te)-MPFR_EXP(t))));*/ - err = Nt - (MAX (exp_te - MPFR_GET_EXP (t), 0) + 1); - - if (MPFR_LIKELY (MPFR_CAN_ROUND (t, err, Ny, rnd_mode))) - { - inexact = mpfr_set (y, t, rnd_mode); - break; - } - - /* increase the precision */ - MPFR_ZIV_NEXT (loop, Nt); - mpfr_set_prec (t, Nt); - } - MPFR_ZIV_FREE (loop); - - mpfr_clear (t); - } - - MPFR_SAVE_EXPO_FREE (expo); - return mpfr_check_range (y, inexact, rnd_mode); -} |