summaryrefslogtreecommitdiff
path: root/Build/source/libs/mpfr/mpfr-src/src/acos.c
diff options
context:
space:
mode:
Diffstat (limited to 'Build/source/libs/mpfr/mpfr-src/src/acos.c')
-rw-r--r--Build/source/libs/mpfr/mpfr-src/src/acos.c146
1 files changed, 0 insertions, 146 deletions
diff --git a/Build/source/libs/mpfr/mpfr-src/src/acos.c b/Build/source/libs/mpfr/mpfr-src/src/acos.c
deleted file mode 100644
index fb737354266..00000000000
--- a/Build/source/libs/mpfr/mpfr-src/src/acos.c
+++ /dev/null
@@ -1,146 +0,0 @@
-/* mpfr_acos -- arc-cosinus 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. */
-
-#define MPFR_NEED_LONGLONG_H
-#include "mpfr-impl.h"
-
-int
-mpfr_acos (mpfr_ptr acos, mpfr_srcptr x, mpfr_rnd_t rnd_mode)
-{
- mpfr_t xp, arcc, tmp;
- mpfr_exp_t supplement;
- mpfr_prec_t prec;
- int sign, compared, inexact;
- 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),
- ("acos[%Pu]=%.*Rg inexact=%d",
- mpfr_get_prec(acos), mpfr_log_prec, acos, inexact));
-
- /* Singular cases */
- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
- {
- if (MPFR_IS_NAN (x) || MPFR_IS_INF (x))
- {
- MPFR_SET_NAN (acos);
- MPFR_RET_NAN;
- }
- else /* necessarily x=0 */
- {
- MPFR_ASSERTD(MPFR_IS_ZERO(x));
- /* acos(0)=Pi/2 */
- MPFR_SAVE_EXPO_MARK (expo);
- inexact = mpfr_const_pi (acos, rnd_mode);
- mpfr_div_2ui (acos, acos, 1, rnd_mode); /* exact */
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (acos, inexact, rnd_mode);
- }
- }
-
- /* Set x_p=|x| */
- sign = MPFR_SIGN (x);
- mpfr_init2 (xp, MPFR_PREC (x));
- mpfr_abs (xp, x, MPFR_RNDN); /* Exact */
-
- compared = mpfr_cmp_ui (xp, 1);
-
- if (MPFR_UNLIKELY (compared >= 0))
- {
- mpfr_clear (xp);
- if (compared > 0) /* acos(x) = NaN for x > 1 */
- {
- MPFR_SET_NAN(acos);
- MPFR_RET_NAN;
- }
- else
- {
- if (MPFR_IS_POS_SIGN (sign)) /* acos(+1) = +0 */
- return mpfr_set_ui (acos, 0, rnd_mode);
- else /* acos(-1) = Pi */
- return mpfr_const_pi (acos, rnd_mode);
- }
- }
-
- MPFR_SAVE_EXPO_MARK (expo);
-
- /* Compute the supplement */
- mpfr_ui_sub (xp, 1, xp, MPFR_RNDD);
- if (MPFR_IS_POS_SIGN (sign))
- supplement = 2 - 2 * MPFR_GET_EXP (xp);
- else
- supplement = 2 - MPFR_GET_EXP (xp);
- mpfr_clear (xp);
-
- prec = MPFR_PREC (acos);
- prec += MPFR_INT_CEIL_LOG2(prec) + 10 + supplement;
-
- /* VL: The following change concerning prec comes from r3145
- "Optimize mpfr_acos by choosing a better initial precision."
- but it doesn't seem to be correct and leads to problems (assertion
- failure or very important inefficiency) with tiny arguments.
- Therefore, I've disabled it. */
- /* If x ~ 2^-N, acos(x) ~ PI/2 - x - x^3/6
- If Prec < 2*N, we can't round since x^3/6 won't be counted. */
-#if 0
- if (MPFR_PREC (acos) >= MPFR_PREC (x) && MPFR_GET_EXP (x) < 0)
- {
- mpfr_uexp_t pmin = (mpfr_uexp_t) (-2 * MPFR_GET_EXP (x)) + 5;
- MPFR_ASSERTN (pmin <= MPFR_PREC_MAX);
- if (prec < pmin)
- prec = pmin;
- }
-#endif
-
- mpfr_init2 (tmp, prec);
- mpfr_init2 (arcc, prec);
-
- MPFR_ZIV_INIT (loop, prec);
- for (;;)
- {
- /* acos(x) = Pi/2 - asin(x) = Pi/2 - atan(x/sqrt(1-x^2)) */
- mpfr_sqr (tmp, x, MPFR_RNDN);
- mpfr_ui_sub (tmp, 1, tmp, MPFR_RNDN);
- mpfr_sqrt (tmp, tmp, MPFR_RNDN);
- mpfr_div (tmp, x, tmp, MPFR_RNDN);
- mpfr_atan (arcc, tmp, MPFR_RNDN);
- mpfr_const_pi (tmp, MPFR_RNDN);
- mpfr_div_2ui (tmp, tmp, 1, MPFR_RNDN);
- mpfr_sub (arcc, tmp, arcc, MPFR_RNDN);
-
- if (MPFR_LIKELY (MPFR_CAN_ROUND (arcc, prec - supplement,
- MPFR_PREC (acos), rnd_mode)))
- break;
- MPFR_ZIV_NEXT (loop, prec);
- mpfr_set_prec (tmp, prec);
- mpfr_set_prec (arcc, prec);
- }
- MPFR_ZIV_FREE (loop);
-
- inexact = mpfr_set (acos, arcc, rnd_mode);
- mpfr_clear (tmp);
- mpfr_clear (arcc);
-
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (acos, inexact, rnd_mode);
-}