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authorUlrich Drepper <drepper@redhat.com>1998-02-13 17:54:15 +0000
committerUlrich Drepper <drepper@redhat.com>1998-02-13 17:54:15 +0000
commitdc30f461575342ffeb6c0f2d5931493c1c3a91c0 (patch)
tree99243511beca706f0743fe2316854c5a30709f17 /sysdeps/libm-ieee754/s_exp2.c
parente15867921d8f3b75deb0d91628cf9a323709ea9f (diff)
Update.
1998-02-13 17:39 Ulrich Drepper <drepper@cygnus.com> * elf/Makefile: Don't use --version-script parameter to link ld.so unconditionally. 1998-01-02 04:19 Geoff Keating <geoffk@ozemail.com.au> * math/Makefile: Add t_exp. * math/libm-test.c: Tighten accuracy bounds for exp(), correct constants. * math/test-reduce.c: Remove temporarily, it seems to be broken. * sysdeps/libm-ieee754/e_exp.c: Use accurate table method. * sysdeps/libm-ieee754/e_expf.c: Use table & double precision for better accuracy. * sysdeps/libm-ieee754/s_exp2.c: Use better polynomial; correct algorithm for very large/very small arguments. * sysdeps/libm-ieee754/s_exp2f.c: Use slightly better polynomial; correct algorithm for very large/very small arguments; adjust for new table. * sysdeps/libm-ieee754/t_exp.c: New file. * sysdeps/libm-ieee754/t_exp2f.h: Use table with smaller deltas. * sysdeps/unix/sysv/linux/powerpc/dl-sysdep.c: Put 'strange test' back, with comment that explains what breaks when you remove it :-(. * localedata/xfrm-test.c: Avoid integer overflow. * stdlib/strfmon.c: char is unsigned, sometimes. *sysdeps/powerpc * sysdeps/powerpc/Makefile: Remove quad float support. * sysdeps/powerpc/q_*.c: Remove, they will become an add-on. * sysdeps/powerpc/quad_float.h: Likewise. * sysdeps/powerpc/test-arith.c: Likewise. * sysdeps/powerpc/test-arithf.c: Likewise. * sysdeps/generic/s_exp2.c: Remove, we have this implemented now. * sysdeps/generic/s_exp2f.c: Likewise. * sysdeps/powerpc/bits/mathinline.h: Use underscores around __asm__, don't try anything if _SOFT_FLOAT. 1997-12-31 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * locale/C-ctype.c (_nl_C_LC_CTYPE_class32): Undo last change. * locale/programs/ld-ctype.c (CHAR_CLASS32_TRANS): Likewise. * wctype/wctype.c: Likewise. * wctype/wctype.h (_ISwxxx): Renamed from _ISxxx, all uses changed. They are incompatible with the _ISxxx values from <ctype.h> on little endian machines. (_ISwbit) [__BYTE_ORDER == __LITTLE_ENDIAN]: Correctly transform bit number. This fixes the real bug and restores the integrity of the ctype locale file. * wctype/wcfuncs.c: Change all _ISxxx to _ISwxxx. * wctype/wcfuncs_l.c: Likewise. * wctype/wcextra.c: Likewise. * wctype/wctype_l.c [__BYTE_ORDER == __LITTLE_ENDIAN]: Use correct byte swapping. 1998-02-09 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * sysdeps/unix/sysv/linux/sparc/sparc32/sysdep.S (errno): Put it into .bss segment instead of .common, so that aliases on it work. * sysdeps/unix/sysv/linux/i386/sysdep.S (errno): Add .type and .size directives, put into .bss segment instead of initializing it to 4. 1998-02-12 08:00 H.J. Lu <hjl@gnu.org> * libc.map (gnu_get_libc_release, gnu_get_libc_version): Added. * version.c (__gnu_get_libc_release, __gnu_get_libc_version): New functions. Make names without __ weak aliases. (__libc_release, __libc_version): Make them static. * include/gnu/libc-version.h: New file. * Makefile (headers): Add gnu/libc-version.h. 1998-02-13 Ulrich Drepper <drepper@cygnus.com> * stdlib/stdlib.h (struct drand48_data): Leave X to user macros and use x for member name. Reported by Daniel Lyddy <daniell@cs.berkeley.edu>. * stdlib/drand48.c: Change according to member name change. * stdlib/drand48_r.c: Likewise. * stdlib/lcong48_r.c: Likewise. * stdlib/lrand48.c: Likewise. * stdlib/lrand48_r.c: Likewise. * stdlib/mrand48.c: Likewise. * stdlib/mrand48_r.c: Likewise. * stdlib/seed48.c: Likewise. * stdlib/seed48_r.c: Likewise. * stdlib/srand48_r.c: Likewise. 1998-02-11 Andreas Jaeger <aj@arthur.rhein-neckar.de> * nss/test-netdb.c: Add some more test cases. 1998-02-13 11:39 Ulrich Drepper <drepper@cygnus.com> * libio/iovsscanf.c: Undo last change modifying errno. 1998-02-12 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * stdio-common/vfscanf.c: Never try to read another character after EOF. Don't decrement read_in after EOF, it wasn't incremented in the first place. (NEXT_WIDE_CHAR): Set First, not first. 1998-02-06 07:48 H.J. Lu <hjl@gnu.org> * db/Makefile ($(inst_libdir)/libndbm.a, $(inst_libdir)/libndbm.so): New targets. * db2/Makefile: Likewise. 1998-02-12 08:20 H.J. Lu <hjl@gnu.org> * sysdeps/gnu/errlist.awk (sys_errlist, sys_nerr): Create weak aliases if HAVE_ELF or PIC or DO_VERSIONING is not defined. 1998-02-12 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * sysdeps/generic/_G_config.h: Define _G_wchar_t, for C++ <streambuf.h>. * sysdeps/unix/sysv/linux/_G_config.h: Likewise. 1998-02-11 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * sysdeps/unix/make-syscalls.sh: Fix sed pattern when dealing with versioned symbols. 1998-02-13 08:14 H.J. Lu <hjl@gnu.org> * libc.map (_dl_global_scope, _dl_lookup_symbol_skip, _dl_lookup_versioned_symbol, _dl_lookup_versioned_symbol_skip): Added for libdl.so. * elf/rtld.map: New file. Needed to define the GLIBC_2.* * manual/socket.texi (Host Address Functions): Clarify description * sysdeps/unix/sysv/linux/alpha/bits/time.h (struct timeval):
Diffstat (limited to 'sysdeps/libm-ieee754/s_exp2.c')
-rw-r--r--sysdeps/libm-ieee754/s_exp2.c71
1 files changed, 39 insertions, 32 deletions
diff --git a/sysdeps/libm-ieee754/s_exp2.c b/sysdeps/libm-ieee754/s_exp2.c
index fc3fd2507b..d6f4de02d6 100644
--- a/sysdeps/libm-ieee754/s_exp2.c
+++ b/sysdeps/libm-ieee754/s_exp2.c
@@ -36,21 +36,23 @@
#include "t_exp2.h"
-static const volatile double TWO1000 = 1.071508607186267320948e+301;
+static const volatile double TWO1023 = 8.988465674311579539e+307;
static const volatile double TWOM1000 = 9.3326361850321887899e-302;
double
__ieee754_exp2 (double x)
{
- static const uint32_t a_inf = 0x7f800000;
+ static const uint32_t a_minf = 0xff800000;
+ static const double himark = (double) DBL_MAX_EXP;
+ static const double lomark = (double) (DBL_MIN_EXP - DBL_MANT_DIG - 1) - 1.0;
+
/* Check for usual case. */
- if (isless (x, (double) DBL_MAX_EXP)
- && isgreater (x, (double) (DBL_MIN_EXP - 1)))
+ if (isless (x, himark) && isgreater (x, lomark))
{
static const float TWO43 = 8796093022208.0;
- int tval;
- double rx, x22;
- union ieee754_double ex2_u;
+ int tval, unsafe;
+ double rx, x22, result;
+ union ieee754_double ex2_u, scale_u;
fenv_t oldenv;
feholdexcept (&oldenv);
@@ -95,37 +97,42 @@ __ieee754_exp2 (double x)
/* 3. Compute ex2 = 2^(t/512+e+ex). */
ex2_u.d = exp2_accuratetable[tval & 511];
- ex2_u.ieee.exponent += tval >> 9;
+ tval >>= 9;
+ unsafe = abs(tval) >= -DBL_MIN_EXP - 1;
+ ex2_u.ieee.exponent += tval >> unsafe;
+ scale_u.d = 1.0;
+ scale_u.ieee.exponent += tval - (tval >> unsafe);
/* 4. Approximate 2^x2 - 1, using a fourth-degree polynomial,
- 2^x2 ~= sum(k=0..4 | (x2 * ln(2))^k / k! ) +
- so
- 2^x2 - 1 ~= sum(k=1..4 | (x2 * ln(2))^k / k! )
- with error less than 2^(1/1024) * (x2 * ln(2))^5 / 5! < 1.2e-18. */
+ with maximum error in [-2^-10-2^-30,2^-10+2^-30]
+ less than 10^-19. */
- x22 = (((.0096181291076284772
- * x + .055504108664821580)
- * x + .240226506959100712)
- * x + .69314718055994531) * ex2_u.d;
+ x22 = (((.0096181293647031180
+ * x + .055504110254308625)
+ * x + .240226506959100583)
+ * x + .69314718055994495) * ex2_u.d;
/* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */
fesetenv (&oldenv);
- /* Need to check: does this set FE_INEXACT correctly? */
- return x22 * x + ex2_u.d;
+ result = x22 * x + ex2_u.d;
+
+ if (!unsafe)
+ return result;
+ else
+ return result * scale_u.d;
+ }
+ /* Exceptional cases: */
+ else if (isless (x, himark))
+ {
+ if (x == *(const float *) &a_minf)
+ /* e^-inf == 0, with no error. */
+ return 0;
+ else
+ /* Underflow */
+ return TWOM1000 * TWOM1000;
}
- /* 2^inf == inf, with no error. */
- else if (x == *(const float *) &a_inf)
- return x;
- /* Check for overflow. */
- else if (isgreaterequal (x, (double) DBL_MAX_EXP))
- return TWO1000 * TWO1000;
- /* And underflow (including -inf). */
- else if (isless (x, (double) (DBL_MIN_EXP - DBL_MANT_DIG)))
- return TWOM1000 * TWOM1000;
- /* Maybe the result needs to be a denormalised number... */
- else if (!isnan (x))
- return __ieee754_exp2 (x + 1000.0) * TWOM1000;
- else /* isnan(x) */
- return x + x;
+ else
+ /* Return x, if x is a NaN or Inf; or overflow, otherwise. */
+ return TWO1023*x;
}