diff options
Diffstat (limited to 'Build/source/libs/mpfr/mpfr-src/src/asin.c')
-rw-r--r-- | Build/source/libs/mpfr/mpfr-src/src/asin.c | 125 |
1 files changed, 0 insertions, 125 deletions
diff --git a/Build/source/libs/mpfr/mpfr-src/src/asin.c b/Build/source/libs/mpfr/mpfr-src/src/asin.c deleted file mode 100644 index 62cf89b862a..00000000000 --- a/Build/source/libs/mpfr/mpfr-src/src/asin.c +++ /dev/null @@ -1,125 +0,0 @@ -/* mpfr_asin -- arc-sinus of a floating-point number - -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. */ - -#include "mpfr-impl.h" - -int -mpfr_asin (mpfr_ptr asin, mpfr_srcptr x, mpfr_rnd_t rnd_mode) -{ - mpfr_t xp; - int compared, inexact; - mpfr_prec_t prec; - mpfr_exp_t xp_exp; - MPFR_SAVE_EXPO_DECL (expo); - MPFR_ZIV_DECL (loop); - - MPFR_LOG_FUNC ( - ("x[%Pu]=%.*Rg rnd=%d", mpfr_get_prec (x), mpfr_log_prec, x, rnd_mode), - ("asin[%Pu]=%.*Rg inexact=%d", mpfr_get_prec (asin), mpfr_log_prec, asin, - inexact)); - - /* Special cases */ - if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x))) - { - if (MPFR_IS_NAN (x) || MPFR_IS_INF (x)) - { - MPFR_SET_NAN (asin); - MPFR_RET_NAN; - } - else /* x = 0 */ - { - MPFR_ASSERTD (MPFR_IS_ZERO (x)); - MPFR_SET_ZERO (asin); - MPFR_SET_SAME_SIGN (asin, x); - MPFR_RET (0); /* exact result */ - } - } - - /* asin(x) = x + x^3/6 + ... so the error is < 2^(3*EXP(x)-2) */ - MPFR_FAST_COMPUTE_IF_SMALL_INPUT (asin, x, -2 * MPFR_GET_EXP (x), 2, 1, - rnd_mode, {}); - - /* Set x_p=|x| (x is a normal number) */ - mpfr_init2 (xp, MPFR_PREC (x)); - inexact = mpfr_abs (xp, x, MPFR_RNDN); - MPFR_ASSERTD (inexact == 0); - - compared = mpfr_cmp_ui (xp, 1); - - MPFR_SAVE_EXPO_MARK (expo); - - if (MPFR_UNLIKELY (compared >= 0)) - { - mpfr_clear (xp); - if (compared > 0) /* asin(x) = NaN for |x| > 1 */ - { - MPFR_SAVE_EXPO_FREE (expo); - MPFR_SET_NAN (asin); - MPFR_RET_NAN; - } - else /* x = 1 or x = -1 */ - { - if (MPFR_IS_POS (x)) /* asin(+1) = Pi/2 */ - inexact = mpfr_const_pi (asin, rnd_mode); - else /* asin(-1) = -Pi/2 */ - { - inexact = -mpfr_const_pi (asin, MPFR_INVERT_RND(rnd_mode)); - MPFR_CHANGE_SIGN (asin); - } - mpfr_div_2ui (asin, asin, 1, rnd_mode); - } - } - else - { - /* Compute exponent of 1 - ABS(x) */ - mpfr_ui_sub (xp, 1, xp, MPFR_RNDD); - MPFR_ASSERTD (MPFR_GET_EXP (xp) <= 0); - MPFR_ASSERTD (MPFR_GET_EXP (x) <= 0); - xp_exp = 2 - MPFR_GET_EXP (xp); - - /* Set up initial prec */ - prec = MPFR_PREC (asin) + 10 + xp_exp; - - /* use asin(x) = atan(x/sqrt(1-x^2)) */ - MPFR_ZIV_INIT (loop, prec); - for (;;) - { - mpfr_set_prec (xp, prec); - mpfr_sqr (xp, x, MPFR_RNDN); - mpfr_ui_sub (xp, 1, xp, MPFR_RNDN); - mpfr_sqrt (xp, xp, MPFR_RNDN); - mpfr_div (xp, x, xp, MPFR_RNDN); - mpfr_atan (xp, xp, MPFR_RNDN); - if (MPFR_LIKELY (MPFR_CAN_ROUND (xp, prec - xp_exp, - MPFR_PREC (asin), rnd_mode))) - break; - MPFR_ZIV_NEXT (loop, prec); - } - MPFR_ZIV_FREE (loop); - inexact = mpfr_set (asin, xp, rnd_mode); - - mpfr_clear (xp); - } - - MPFR_SAVE_EXPO_FREE (expo); - return mpfr_check_range (asin, inexact, rnd_mode); -} |