summaryrefslogtreecommitdiff
path: root/Build/source/libs/mpfr/mpfr-src/src/csc.c
diff options
context:
space:
mode:
Diffstat (limited to 'Build/source/libs/mpfr/mpfr-src/src/csc.c')
-rw-r--r--Build/source/libs/mpfr/mpfr-src/src/csc.c76
1 files changed, 0 insertions, 76 deletions
diff --git a/Build/source/libs/mpfr/mpfr-src/src/csc.c b/Build/source/libs/mpfr/mpfr-src/src/csc.c
deleted file mode 100644
index 6675d8bcd19..00000000000
--- a/Build/source/libs/mpfr/mpfr-src/src/csc.c
+++ /dev/null
@@ -1,76 +0,0 @@
-/* mpfr_csc - cosecant function.
-
-Copyright 2005-2020 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. */
-
-/* the cosecant is defined by csc(x) = 1/sin(x).
- csc (NaN) = NaN.
- csc (+Inf) = csc (-Inf) = NaN.
- csc (+0) = +Inf.
- csc (-0) = -Inf.
-*/
-
-#define FUNCTION mpfr_csc
-#define INVERSE mpfr_sin
-#define ACTION_NAN(y) do { MPFR_SET_NAN(y); MPFR_RET_NAN; } while (1)
-#define ACTION_INF(y) do { MPFR_SET_NAN(y); MPFR_RET_NAN; } while (1)
-#define ACTION_ZERO(y,x) do { MPFR_SET_SAME_SIGN(y,x); MPFR_SET_INF(y); \
- MPFR_SET_DIVBY0 (); MPFR_RET(0); } while (1)
-/* near x=0, we have csc(x) = 1/x + x/6 + ..., more precisely we have
- |csc(x) - 1/x| <= 0.2 for |x| <= 1. The analysis is similar to that for
- gamma(x) near x=0 (see gamma.c), except here the error term has the same
- sign as 1/x, thus |csc(x)| >= |1/x|. Then:
- (i) either x is a power of two, then 1/x is exactly representable, and
- as long as 1/2*ulp(1/x) > 0.2, we can conclude;
- (ii) otherwise assume x has <= n bits, and y has <= n+1 bits, then
- |y - 1/x| >= 2^(-2n) ufp(y), where ufp means unit in first place.
- Since |csc(x) - 1/x| <= 0.2, if 2^(-2n) ufp(y) >= 0.4, then
- |y - csc(x)| >= 2^(-2n-1) ufp(y), and rounding 1/x gives the correct result.
- If x < 2^E, then y > 2^(-E), thus ufp(y) > 2^(-E-1).
- A sufficient condition is thus EXP(x) <= -2 MAX(PREC(x),PREC(Y)). */
-#define ACTION_TINY(y,x,r) \
- if (MPFR_EXP(x) <= -2 * (mpfr_exp_t) MAX(MPFR_PREC(x), MPFR_PREC(y))) \
- { \
- int signx = MPFR_SIGN(x); \
- inexact = mpfr_ui_div (y, 1, x, r); \
- if (inexact == 0) /* x is a power of two */ \
- { /* result always 1/x, except when rounding away from zero */ \
- if (rnd_mode == MPFR_RNDA) \
- rnd_mode = (signx > 0) ? MPFR_RNDU : MPFR_RNDD; \
- if (rnd_mode == MPFR_RNDU) \
- { \
- if (signx > 0) \
- mpfr_nextabove (y); /* 2^k + epsilon */ \
- inexact = 1; \
- } \
- else if (rnd_mode == MPFR_RNDD) \
- { \
- if (signx < 0) \
- mpfr_nextbelow (y); /* -2^k - epsilon */ \
- inexact = -1; \
- } \
- else /* round to zero, or nearest */ \
- inexact = -signx; \
- } \
- MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, __gmpfr_flags); \
- goto end; \
- }
-
-#include "gen_inverse.h"