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Diffstat (limited to 'Build/source/libs/mpfr/mpfr-src/src/sinh.c')
-rw-r--r-- | Build/source/libs/mpfr/mpfr-src/src/sinh.c | 184 |
1 files changed, 0 insertions, 184 deletions
diff --git a/Build/source/libs/mpfr/mpfr-src/src/sinh.c b/Build/source/libs/mpfr/mpfr-src/src/sinh.c deleted file mode 100644 index 83c8d9bf320..00000000000 --- a/Build/source/libs/mpfr/mpfr-src/src/sinh.c +++ /dev/null @@ -1,184 +0,0 @@ -/* mpfr_sinh -- hyperbolic sine - -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 sinh is done by - sinh(x) = 1/2 [e^(x)-e^(-x)] */ - -int -mpfr_sinh (mpfr_ptr y, mpfr_srcptr xt, mpfr_rnd_t rnd_mode) -{ - mpfr_t x; - int inexact; - - MPFR_LOG_FUNC - (("x[%Pu]=%.*Rg rnd=%d", mpfr_get_prec (xt), mpfr_log_prec, xt, rnd_mode), - ("y[%Pu]=%.*Rg inexact=%d", - mpfr_get_prec (y), mpfr_log_prec, y, inexact)); - - if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (xt))) - { - if (MPFR_IS_NAN (xt)) - { - MPFR_SET_NAN (y); - MPFR_RET_NAN; - } - else if (MPFR_IS_INF (xt)) - { - MPFR_SET_INF (y); - MPFR_SET_SAME_SIGN (y, xt); - MPFR_RET (0); - } - else /* xt is zero */ - { - MPFR_ASSERTD (MPFR_IS_ZERO (xt)); - MPFR_SET_ZERO (y); /* sinh(0) = 0 */ - MPFR_SET_SAME_SIGN (y, xt); - MPFR_RET (0); - } - } - - /* sinh(x) = x + x^3/6 + ... so the error is < 2^(3*EXP(x)-2) */ - MPFR_FAST_COMPUTE_IF_SMALL_INPUT (y, xt, -2 * MPFR_GET_EXP(xt), 2, 1, - rnd_mode, {}); - - MPFR_TMP_INIT_ABS (x, xt); - - { - mpfr_t t, ti; - mpfr_exp_t d; - mpfr_prec_t Nt; /* Precision of the intermediary variable */ - long int err; /* Precision of error */ - MPFR_ZIV_DECL (loop); - MPFR_SAVE_EXPO_DECL (expo); - MPFR_GROUP_DECL (group); - - MPFR_SAVE_EXPO_MARK (expo); - - /* compute the precision of intermediary variable */ - Nt = MAX (MPFR_PREC (x), MPFR_PREC (y)); - /* the optimal number of bits : see algorithms.ps */ - Nt = Nt + MPFR_INT_CEIL_LOG2 (Nt) + 4; - /* If x is near 0, exp(x) - 1/exp(x) = 2*x+x^3/3+O(x^5) */ - if (MPFR_GET_EXP (x) < 0) - Nt -= 2*MPFR_GET_EXP (x); - - /* initialize of intermediary variables */ - MPFR_GROUP_INIT_2 (group, Nt, t, ti); - - /* First computation of sinh */ - MPFR_ZIV_INIT (loop, Nt); - for (;;) - { - MPFR_BLOCK_DECL (flags); - - /* compute sinh */ - MPFR_BLOCK (flags, mpfr_exp (t, x, MPFR_RNDD)); - if (MPFR_OVERFLOW (flags)) - /* exp(x) does overflow */ - { - /* sinh(x) = 2 * sinh(x/2) * cosh(x/2) */ - mpfr_div_2ui (ti, x, 1, MPFR_RNDD); /* exact */ - - /* t <- cosh(x/2): error(t) <= 1 ulp(t) */ - MPFR_BLOCK (flags, mpfr_cosh (t, ti, MPFR_RNDD)); - if (MPFR_OVERFLOW (flags)) - /* when x>1 we have |sinh(x)| >= cosh(x/2), so sinh(x) - overflows too */ - { - inexact = mpfr_overflow (y, rnd_mode, MPFR_SIGN (xt)); - MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, MPFR_FLAGS_OVERFLOW); - break; - } - - /* ti <- sinh(x/2): , error(ti) <= 1 ulp(ti) - cannot overflow because 0 < sinh(x) < cosh(x) when x > 0 */ - mpfr_sinh (ti, ti, MPFR_RNDD); - - /* multiplication below, error(t) <= 5 ulp(t) */ - MPFR_BLOCK (flags, mpfr_mul (t, t, ti, MPFR_RNDD)); - if (MPFR_OVERFLOW (flags)) - { - inexact = mpfr_overflow (y, rnd_mode, MPFR_SIGN (xt)); - MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, MPFR_FLAGS_OVERFLOW); - break; - } - - /* doubling below, exact */ - MPFR_BLOCK (flags, mpfr_mul_2ui (t, t, 1, MPFR_RNDN)); - if (MPFR_OVERFLOW (flags)) - { - inexact = mpfr_overflow (y, rnd_mode, MPFR_SIGN (xt)); - MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, MPFR_FLAGS_OVERFLOW); - break; - } - - /* we have lost at most 3 bits of precision */ - err = Nt - 3; - if (MPFR_LIKELY (MPFR_CAN_ROUND (t, err, MPFR_PREC (y), - rnd_mode))) - { - inexact = mpfr_set4 (y, t, rnd_mode, MPFR_SIGN (xt)); - break; - } - err = Nt; /* double the precision */ - } - else - { - d = MPFR_GET_EXP (t); - mpfr_ui_div (ti, 1, t, MPFR_RNDU); /* 1/exp(x) */ - mpfr_sub (t, t, ti, MPFR_RNDN); /* exp(x) - 1/exp(x) */ - mpfr_div_2ui (t, t, 1, MPFR_RNDN); /* 1/2(exp(x) - 1/exp(x)) */ - - /* it may be that t is zero (in fact, it can only occur when te=1, - and thus ti=1 too) */ - if (MPFR_IS_ZERO (t)) - err = Nt; /* double the precision */ - else - { - /* calculation of the error */ - d = d - MPFR_GET_EXP (t) + 2; - /* error estimate: err = Nt-(__gmpfr_ceil_log2(1+pow(2,d)));*/ - err = Nt - (MAX (d, 0) + 1); - if (MPFR_LIKELY (MPFR_CAN_ROUND (t, err, MPFR_PREC (y), - rnd_mode))) - { - inexact = mpfr_set4 (y, t, rnd_mode, MPFR_SIGN (xt)); - break; - } - } - } - - /* actualization of the precision */ - Nt += err; - MPFR_ZIV_NEXT (loop, Nt); - MPFR_GROUP_REPREC_2 (group, Nt, t, ti); - } - MPFR_ZIV_FREE (loop); - MPFR_GROUP_CLEAR (group); - MPFR_SAVE_EXPO_FREE (expo); - } - - return mpfr_check_range (y, inexact, rnd_mode); -} |