glibc/sysdeps/libm-ieee754/e_expf.c
Ulrich Drepper 3f62b69af3 Update.
1998-07-27 17:42  Ulrich Drepper  <drepper@cygnus.com>

	* nss/nss_files/files-parse.c (INT_FIELD): Use strtoul instead of
	strtol.
	(INT_FIELD_MAYBE_NULL): Likewise.

	* posix/globtest.c: Rewrite for extended test suite.
	* posix/globtest.sh: More tests.
	Patch by Brian Wellington <bwelling@anomaly.munge.com>.

	* stdlib/strtol.c: Don't redefine LONG_MAX, LONG_MIN, and ULONG_MAX.
	Use new macro.

	* sysdeps/generic/readv.c: Correct return type.
	* sysdeps/generic/writev.c: Likewise.

1998-07-24  Gordon Matzigkeit  <gord@fig.org>

	* argp/argp-help.c (_GNU_SOURCE): Define, to suck in
	program_invocation_name when compiling outside of glibc.

1998-07-26  Philip Blundell  <philb@gnu.org>

	* sysdeps/unix/sysv/linux/arm/siglist.c: New file; ARM tools don't
	like `@' in .type directives.

	* sysdeps/libm-ieee754/e_expf.c (__ieee754_expf): Check whether
	FE_TONEAREST exists for this platform before using it.
	* sysdeps/libm-ieee754/e_exp.c (__ieee754_exp): Likewise.

	* sysdeps/arm/dl-machine.h (elf_machine_rel): Delete redundant
	debugging code.  Correct handling of PC24 relocs.

	* elf/Makefile (ld-map): Only define if versioning is in use.

	* sysdeps/arm/fpu_control.h: Move to ...
	* sysdeps/arm/fpu/fpu_control.h: ... here.
	* sysdeps/generic/fpu_control.h: Made usable as a dummy
	implementation.

	* sysdeps/unix/sysv/linux/arm/brk.c: New file.

	* sysdeps/arm/machine-gmon.h: Improved profiling for ARM.
	* sysdeps/arm/sysdep.h (CALL_MCOUNT): Replace stub with real
	implementation.
	* sysdeps/unix/sysv/linux/arm/clone.S: Likewise.
	Based on patch from Scott Bambrough and Pat Beirne.

	* shlib-versions: Add appropriate definitions for ARM machines.

	* README.template: Mention that Linux/ARM with ELF works now.

1998-07-18  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* Makerules: Generate compilation rules for all object suffixes,
	not only those currently selected, for sources in the current or
	object directory.

1998-07-24  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* posix/fnmatch.c (fnmatch): Allow `/' in character class.  Don't
	match `/' in filename by a character class if requested.
	* posix/testfnm.c: Rewritten.
	* posix/testfnm.args: Removed.

1998-07-25  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* posix/annexc.c (limits_syms): Add missing symbols.
	(stdarg_syms): Move va_list to `maybe' list.
	(stdio_syms): Add FOPEN_MAX.
1998-07-27 17:55:05 +00:00

141 lines
4 KiB
C

/* Single-precision floating point e^x.
Copyright (C) 1997, 1998 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Library General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version.
The GNU C 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
Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with the GNU C Library; see the file COPYING.LIB. If not,
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
/* How this works:
The input value, x, is written as
x = n * ln(2) + t/512 + delta[t] + x;
where:
- n is an integer, 127 >= n >= -150;
- t is an integer, 177 >= t >= -177
- delta is based on a table entry, delta[t] < 2^-28
- x is whatever is left, |x| < 2^-10
Then e^x is approximated as
e^x = 2^n ( e^(t/512 + delta[t])
+ ( e^(t/512 + delta[t])
* ( p(x + delta[t] + n * ln(2)) - delta ) ) )
where
- p(x) is a polynomial approximating e(x)-1;
- e^(t/512 + delta[t]) is obtained from a table.
The table used is the same one as for the double precision version;
since we have the table, we might as well use it.
It turns out to be faster to do calculations in double precision than
to perform an 'accurate table method' expf, because of the range reduction
overhead (compare exp2f).
*/
#ifndef _GNU_SOURCE
#define _GNU_SOURCE
#endif
#include <float.h>
#include <ieee754.h>
#include <math.h>
#include <fenv.h>
#include <inttypes.h>
#include <math_private.h>
extern const float __exp_deltatable[178];
extern const double __exp_atable[355] /* __attribute__((mode(DF))) */;
static const volatile float TWOM100 = 7.88860905e-31;
static const volatile float TWO127 = 1.7014118346e+38;
float
__ieee754_expf (float x)
{
static const float himark = 88.72283935546875;
static const float lomark = -103.972084045410;
/* Check for usual case. */
if (isless (x, himark) && isgreater (x, lomark))
{
static const float THREEp42 = 13194139533312.0;
static const float THREEp22 = 12582912.0;
/* 1/ln(2). */
#undef M_1_LN2
static const float M_1_LN2 = 1.44269502163f;
/* ln(2) */
#undef M_LN2
static const double M_LN2 = .6931471805599452862;
int tval;
double x22, t, result, dx;
float n, delta;
union ieee754_double ex2_u;
fenv_t oldenv;
feholdexcept (&oldenv);
#ifdef FE_TONEAREST
fesetround (FE_TONEAREST);
#endif
/* Calculate n. */
n = x * M_1_LN2 + THREEp22;
n -= THREEp22;
dx = x - n*M_LN2;
/* Calculate t/512. */
t = dx + THREEp42;
t -= THREEp42;
dx -= t;
/* Compute tval = t. */
tval = (int) (t * 512.0);
if (t >= 0)
delta = - __exp_deltatable[tval];
else
delta = __exp_deltatable[-tval];
/* Compute ex2 = 2^n e^(t/512+delta[t]). */
ex2_u.d = __exp_atable[tval+177];
ex2_u.ieee.exponent += (int) n;
/* Approximate e^(dx+delta) - 1, using a second-degree polynomial,
with maximum error in [-2^-10-2^-28,2^-10+2^-28]
less than 5e-11. */
x22 = (0.5000000496709180453 * dx + 1.0000001192102037084) * dx + delta;
/* Return result. */
fesetenv (&oldenv);
result = x22 * ex2_u.d + ex2_u.d;
return (float) result;
}
/* Exceptional cases: */
else if (isless (x, himark))
{
if (__isinff (x))
/* e^-inf == 0, with no error. */
return 0;
else
/* Underflow */
return TWOM100 * TWOM100;
}
else
/* Return x, if x is a NaN or Inf; or overflow, otherwise. */
return TWO127*x;
}