glibc/sysdeps/i386/fpu/__math.h
Ulrich Drepper f8b87ef0d4 update from main archive 961211
Thu Dec 12 03:32:21 1996  Ulrich Drepper  <drepper@cygnus.com>

	* libio/_G_config.h: Add definition of _G_int16_t, _G_int32_t,
	_G_uint16_t, _G_uin32_t, _G_HAVE_BOOL, _G_HAVE_MMAP, and
	_G_ARGS.

	Change libio buffer handling to allocate internal buffers using
	mmap if possible.
	* libio/filedoalloc.c (_IO_file_doallocate): Change call to
	ALLOC_BUF.
	* libio/genops.c (_IO_setb, _IO_default_finish): Change call
	to FREE_BUF.
	(_IO_default_doallocate): Change call to ALLOC_BUF.
	* libio/libioP.h: Change definition of ALLOC_BUF and FREE_BUF
	to use mmap/munmap when possible.
	* libio/memstream.c: Don't use ALLOC_BUF, but directly malloc.
	* libio/vasprintf.c: Likewise.
	Patch by HJ Lu.

	* libio/libio.h: Define NULL as __null only for gcc-2.8 and up.
	* libio/libioP.h: Likewise.

	* libio/fileops.c (_IO_file_read, _IO_file_write): Don't
	restart syscall when EINTR was returned.  Necessary for POSIX.1.

	* libio/strops.c (_IO_str_overflow): Add cast to prevent warning.

	* new-malloc/malloc.c (heap_trim): Correctly place parentheses to
	prevent warnings.

	* nis/Makefile: Remove rules for bsd-tools which are not part
	of glibc.
	Patch by Thorsten Kukuk.

	* nis/ypclnt.c: Add prototype for xdr_free.
	Add const to first parameter for __yp_bind.
	* nis/nss_compat/compat-pwd.c (getpwent_next_netgr, getpwent_next_nis,
	getpwent_next_file): Variable `p2len' must have type size_t.
	* nis/nss_nis/nis-alias.c: Add casts to prevent warnings.
	* nis/nss_nis/nis-ethers.c: Likewise.
	* nis/nss_nis/nis-grp.c: Likewise.
	* nis/nss_nis/nis-hosts.c: Likewise.
	* nis/nss_nis/nis-network.c: Likewise.
	* nis/nss_nis/nis-proto.c: Likewise.
	* nis/nss_nis/nis-pwd.c: Likewise.
	* nis/nss_nis/nis-rpc.c: Likewise.
	* nis/nss_nis/nis-service.c: Likewise.
	* nis/nss_nis/nis-spwd.c: Likewise.

	* nis/rpcsvc/yp_prot.h (ypreq_key): Change type of members to
	`const char *'.
	(ypmaplist): Change member names to `map' and `next' and provide
	#defines for old names.
	Patch by Thorsten Kukuk.

	* nss/nss_files/files-parse.c (parse_line, parse_list): Change
	type for `datalen' parameter to size_t.

	* shsdow/lckpwdf.c: Use fcntl forlocking, not flock.

	* stdio-common/printf.c [USE_IN_LIBIO]: Provide alias _IO_printf
	for printf.
	* stdio-common/sscanf.c [USE_IN_LIBIO]: Provide alias _IO_sscanf
	for sscanf.
	Patch by HJ Lu.

	* stdio-common/tmpfile.c: Update copyright.

	* stdio-common/vfscanf.c: Correctly handle EINTR error from fgetc
	function.
	Don't eat white space for `C' format.

	* stdlib/tst-strtol.c [~0UL != 0xffffffff]: Fix typo in test data.

	* sysdeps/generic/abort.c: Update copyright.  De-ANSI-declfy.
	* sysdeps/i386/abort.c: Removed.  This version does not use
	signal SIGABRT.

	* sysdeps/i386/fpu/__math.h: Define __NO_MATH_INLINES if not using
	gcc-2.8 or up.
	Patch by HJ Lu.

	* sysdeps/posix/tempname.c: Test for error but EEXIST after open
	call.  If EMFILE, ENFILE, or EINTR return with error.

Wed Dec 11 14:43:52 1996  Ulrich Drepper  <drepper@cygnus.com>

	* gnu-versions.h: Set _GNU_OBSTACK_INTERFACE_VERSION back to 1.
	We are compatible again.
	* new-malloc/obstack.h (struct obstack): Add back alloc_failed bit
	even though it is not used.
	* malloc/obstack.h: Likewise.
	* new-malloc/obstack.c (_obstack_begin, _obstack_begin_1): Initialize
	alloc_failed bit to 0.

	* time/strftime.c: Extend for Emacs' needs.  Recognize field width,
	%P format and `0' modifier.

Tue Dec 10 21:20:44 1996  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* Makerules (make-link): Don't discard exit codes of intermediate
	commands.  Always use rellns-sh if symbolic links are available.

Tue Dec 10 20:09:51 1996  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* sysdeps/unix/sysv/linux/netinet/in.h: Enclose #include
	<linux/in.h> in __BEGIN_DECLS/__END_DECLS to avoid linkage
	conflict of ntohs etc. in <asm/byteorder.h>.
1996-12-12 03:24:48 +00:00

520 lines
11 KiB
C

/* Inline math functions for i387.
Copyright (C) 1995, 1996 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by John C. Bowman <bowman@ipp-garching.mpg.de>, 1995.
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. */
#ifndef __MATH_H
#define __MATH_H 1
#if defined __GNUG__ && \
(__GNUC__ < 2 || (__GNUC__ == 2 && __GNUC_MINOR__ <= 7))
/* gcc 2.7.2 and 2.7.2.1 have problems with inlining `long double'
functions so we disable this now. */
#undef __NO_MATH_INLINES
#define __NO_MATH_INLINES
#endif
#ifdef __GNUC__
#ifndef __NO_MATH_INLINES
#ifdef __cplusplus
#define __MATH_INLINE __inline
#else
#define __MATH_INLINE extern __inline
#endif
__MATH_INLINE double cos (double);
__MATH_INLINE double sin (double);
__MATH_INLINE double __expm1 (double __x);
__MATH_INLINE double
__expm1 (double __x)
{
register double __value, __exponent, __temp;
__asm __volatile__
("fldl2e # e^x - 1 = 2^(x * log2(e)) - 1\n\t"
"fmul %%st(1) # x * log2(e)\n\t"
"fstl %%st(1)\n\t"
"frndint # int(x * log2(e))\n\t"
"fxch\n\t"
"fsub %%st(1) # fract(x * log2(e))\n\t"
"f2xm1 # 2^(fract(x * log2(e))) - 1\n\t"
"fscale # 2^(x * log2(e)) - 2^(int(x * log2(e)))\n\t"
: "=t" (__value), "=u" (__exponent) : "0" (__x));
__asm __volatile__
("fscale # 2^int(x * log2(e))\n\t"
: "=t" (__temp) : "0" (1.0), "u" (__exponent));
__temp -= 1.0;
return __temp + __value;
}
__MATH_INLINE double __sgn1 (double __x);
__MATH_INLINE double
__sgn1 (double __x)
{
return __x >= 0.0 ? 1.0 : -1.0;
}
__MATH_INLINE double sqrt (double __x);
__MATH_INLINE double
sqrt (double __x)
{
register double __value;
__asm __volatile__
("fsqrt"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double fabs (double __x);
__MATH_INLINE double
fabs (double __x)
{
register double __value;
__asm __volatile__
("fabs"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double sin (double __x);
__MATH_INLINE double
sin (double __x)
{
register double __value;
__asm __volatile__
("fsin"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double cos (double __x);
__MATH_INLINE double
cos (double __x)
{
register double __value;
__asm __volatile__
("fcos"
: "=t" (__value): "0" (__x));
return __value;
}
__MATH_INLINE double tan (double __x);
__MATH_INLINE double
tan (double __x)
{
register double __value;
register double __value2 __attribute__ ((unused));
__asm __volatile__
("fptan"
: "=t" (__value2), "=u" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double atan2 (double __y, double __x);
__MATH_INLINE double
atan2 (double __y, double __x)
{
register double __value;
__asm __volatile__
("fpatan\n\t"
"fldl %%st(0)"
: "=t" (__value) : "0" (__x), "u" (__y));
return __value;
}
__MATH_INLINE double asin (double __x);
__MATH_INLINE double
asin (double __x)
{
return atan2 (__x, sqrt (1.0 - __x * __x));
}
__MATH_INLINE double acos (double __x);
__MATH_INLINE double
acos (double __x)
{
return atan2 (sqrt (1.0 - __x * __x), __x);
}
__MATH_INLINE double atan (double __x);
__MATH_INLINE double
atan (double __x)
{
register double __value;
__asm __volatile__
("fld1\n\t"
"fpatan"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double exp (double __x);
__MATH_INLINE double
exp (double __x)
{
register double __value, __exponent;
__asm __volatile__
("fldl2e # e^x = 2^(x * log2(e))\n\t"
"fmul %%st(1) # x * log2(e)\n\t"
"fstl %%st(1)\n\t"
"frndint # int(x * log2(e))\n\t"
"fxch\n\t"
"fsub %%st(1) # fract(x * log2(e))\n\t"
"f2xm1 # 2^(fract(x * log2(e))) - 1\n\t"
: "=t" (__value), "=u" (__exponent) : "0" (__x));
__value += 1.0;
__asm __volatile__
("fscale"
: "=t" (__value) : "0" (__value), "u" (__exponent));
return __value;
}
__MATH_INLINE double sinh (double __x);
__MATH_INLINE double
sinh (double __x)
{
register double __exm1 = __expm1 (fabs (__x));
return 0.5 * (__exm1 / (__exm1 + 1.0) + __exm1) * __sgn1 (__x);
}
__MATH_INLINE double cosh (double __x);
__MATH_INLINE double
cosh (double __x)
{
register double __ex = exp (__x);
return 0.5 * (__ex + 1.0 / __ex);
}
__MATH_INLINE double tanh (double __x);
__MATH_INLINE double
tanh (double __x)
{
register double __exm1 = __expm1 (-fabs (__x + __x));
return __exm1 / (__exm1 + 2.0) * __sgn1 (-__x);
}
__MATH_INLINE double log (double __x);
__MATH_INLINE double
log (double __x)
{
register double __value;
__asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double log10 (double __x);
__MATH_INLINE double
log10 (double __x)
{
register double __value;
__asm __volatile__
("fldlg2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double __log2 (double __x);
__MATH_INLINE double
__log2 (double __x)
{
register double __value;
__asm __volatile__
("fld1\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double fmod (double __x, double __y);
__MATH_INLINE double
fmod (double __x, double __y)
{
register double __value;
__asm __volatile__
("1: fprem\n\t"
"fstsw %%ax\n\t"
"sahf\n\t"
"jp 1b"
: "=t" (__value) : "0" (__x), "u" (__y) : "ax", "cc");
return __value;
}
__MATH_INLINE double ldexp (double __x, int __y);
__MATH_INLINE double
ldexp (double __x, int __y)
{
register double __value;
__asm __volatile__
("fscale"
: "=t" (__value) : "0" (__x), "u" ((double) __y));
return __value;
}
__MATH_INLINE double pow (double __x, double __y);
__MATH_INLINE double
pow (double __x, double __y)
{
register double __value, __exponent;
long __p = (long) __y;
if (__x == 0.0 && __y > 0.0)
return 0.0;
if (__y == (double) __p)
{
double __r = 1.0;
if (__p == 0)
return 1.0;
if (__p < 0)
{
__p = -__p;
__x = 1.0 / __x;
}
while (1)
{
if (__p & 1)
__r *= __x;
__p >>= 1;
if (__p == 0)
return __r;
__x *= __x;
}
/* NOTREACHED */
}
__asm __volatile__
("fmul %%st(1) # y * log2(x)\n\t"
"fstl %%st(1)\n\t"
"frndint # int(y * log2(x))\n\t"
"fxch\n\t"
"fsub %%st(1) # fract(y * log2(x))\n\t"
"f2xm1 # 2^(fract(y * log2(x))) - 1\n\t"
: "=t" (__value), "=u" (__exponent) : "0" (__log2 (__x)), "1" (__y));
__value += 1.0;
__asm __volatile__
("fscale"
: "=t" (__value) : "0" (__value), "u" (__exponent));
return __value;
}
__MATH_INLINE double floor (double __x);
__MATH_INLINE double
floor (double __x)
{
register double __value;
__volatile unsigned short int __cw, __cwtmp;
__asm __volatile ("fnstcw %0" : "=m" (__cw));
__cwtmp = (__cw & 0xf3ff) | 0x0400; /* rounding down */
__asm __volatile ("fldcw %0" : : "m" (__cwtmp));
__asm __volatile ("frndint" : "=t" (__value) : "0" (__x));
__asm __volatile ("fldcw %0" : : "m" (__cw));
return __value;
}
__MATH_INLINE double ceil (double __x);
__MATH_INLINE double
ceil (double __x)
{
register double __value;
__volatile unsigned short int __cw, __cwtmp;
__asm __volatile ("fnstcw %0" : "=m" (__cw));
__cwtmp = (__cw & 0xf3ff) | 0x0800; /* rounding up */
__asm __volatile ("fldcw %0" : : "m" (__cwtmp));
__asm __volatile ("frndint" : "=t" (__value) : "0" (__x));
__asm __volatile ("fldcw %0" : : "m" (__cw));
return __value;
}
/* Optimized versions for some non-standardized functions. */
#ifdef __USE_MISC
__MATH_INLINE double __hypot (double __x, double __y);
__MATH_INLINE double
hypot (double __x, double __y)
{
return sqrt (__x * __x + __y * __y);
}
__MATH_INLINE double
log1p (double __x)
{
register double __value;
if (fabs (__x) >= 1.0 - 0.5 * M_SQRT2)
__value = log (1.0 + __x);
else
__asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2xp1"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double __asinh (double __x);
__MATH_INLINE double
asinh (double __x)
{
register double __y = fabs (__x);
return log1p ((__y * __y / (sqrt (__y * __y + 1.0) + 1.0) + __y)
* __sgn1 (__x));
}
__MATH_INLINE double __acosh (double __x);
__MATH_INLINE double
acosh (double __x)
{
return log (__x + sqrt (__x - 1.0) * sqrt (__x + 1.0));
}
__MATH_INLINE double __atanh (double __x);
__MATH_INLINE double
atanh (double __x)
{
register double __y = fabs (__x);
return -0.5 * __log1p (-(__y + __y) / (1.0 + __y)) * __sgn1 (__x);
}
__MATH_INLINE double __coshm1 (double __x);
__MATH_INLINE double
coshm1 (double __x)
{
register double __exm1 = __expm1 (fabs (__x));
return 0.5 * (__exm1 / (__exm1 + 1.0)) * __exm1;
}
__MATH_INLINE double __acosh1p (double __x);
__MATH_INLINE double
acosh1p (double __x)
{
return __log1p (__x + sqrt (__x) * sqrt (__x + 2.0));
}
__MATH_INLINE double __logb (double __x);
__MATH_INLINE double
logb (double __x)
{
register double __value;
__asm __volatile__
("fxtract\n\t"
: "=t" (__value) : "0" (__x));
return __value;
}
__MATH_INLINE double __drem (double __x, double __y);
__MATH_INLINE double
drem (double __x, double __y)
{
register double __value;
__asm __volatile__
("1: fprem1\n\t"
"fstsw %%ax\n\t"
"sahf\n\t"
"jp 1b"
: "=t" (__value) : "0" (__x), "u" (__y) : "ax", "cc");
return __value;
}
__MATH_INLINE void __sincos (double __x, double *__sinx, double *__cosx);
__MATH_INLINE void
sincos (double __x, double *__sinx, double *__cosx)
{
register double __cosr, __sinr;
__asm __volatile__
("fsincos"
: "=t" (__cosr), "=u" (__sinr) : "0" (__x));
*__sinx = __sinr;
*__cosx = __cosr;
}
__MATH_INLINE double __sgn (double __x);
__MATH_INLINE double
sgn (double __x)
{
return (__x == 0.0 ? 0.0 : (__x > 0.0 ? 1.0 : -1.0));
}
__MATH_INLINE double __pow2 (double __x);
__MATH_INLINE double
pow2 (double __x)
{
register double __value, __exponent;
long __p = (long) __x;
if (__x == (double) __p)
return ldexp (1.0, __p);
__asm __volatile__
("fldl %%st(0)\n\t"
"frndint # int(x)\n\t"
"fxch\n\t"
"fsub %%st(1) # fract(x)\n\t"
"f2xm1 # 2^(fract(x)) - 1\n\t"
: "=t" (__value), "=u" (__exponent) : "0" (__x));
__value += 1.0;
__asm __volatile__
("fscale"
: "=t" (__value) : "0" (__value), "u" (__exponent));
return __value;
}
#endif /* __USE_MISC */
#endif /* __NO_MATH_INLINES */
#endif /* __GNUC__ */
#endif /* __MATH_H */