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authorRoland McGrath <roland@gnu.org>1996-03-19 20:21:54 +0000
committerRoland McGrath <roland@gnu.org>1996-03-19 20:21:54 +0000
commitb20e47cb14ec8edccab7c722743a731e67280702 (patch)
tree2606832a6d914c9c629494cb47b8a87b1d95f40a /sysdeps/i386
parente384537164e04d46fe1749899715abd72d33c54e (diff)
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Tue Mar 19 14:18:42 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
	* sysdeps/unix/bsd/pause.c: Moved to sysdeps/unix/common/pause.c.

Mon Mar  4 20:17:28 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* sysdeps/unix/sysv/linux/adjtime.c: Use INT_MAX instead of LONG_MAX.

	* sysdeps/unix/sysv/Makefile (sysdep_routines): Don't add s_getdents.

	* sysdeps/unix/sysv/linux/Makefile (sysdep_routines): Don't add mount,
	umount.

	* sysdeps/alpha/__math.h (atan, cabs): New functions.

	* sysdeps/unix/sysv/linux/alpha/sigsuspend.S: new file (syscall
 	expects set-value, not pointer to it).

Sun Feb 25 22:36:10 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* sysdeps/unix/sysv/linux/alpha/profil-counter.h: New file.

	* gmon/gmon.c (__bb_head): new variable.
	(write_hist, write_call_graph, write_bb_counts): new functions.
	(_mcleanup): modified to call above functions instead of directly
 	writing out gmon.out.
	* gmon/sys/gmon.h (struct __bb): New type.
	(struct gmonhdr): Type removed.
	(struct gmonparam): New member `log_hashfraction'.
	(GMONVERSION): Macro removed.

	* gmon/sys/gmon_out.h, gmon/bb_exit_func.c,
 	sysdeps/generic/bb_init_func.c, sysdeps/alpha/bb_init_func.S: new
 	files.
	* gmon/Makefile (headers): Add sys/gmon_out.h.
	(routines): Add bb_init_func, bb_exit_func.

	* gmon/mcount.c: Avoid integer division.

Wed Feb 21 23:56:41 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* sysdeps/alpha/setjmp.S: switched order in which sp and fp are
 	passed to match what __sigsetjmp_aux() expects.

Tue Feb 20 11:33:46 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* sysdeps/unix/sysv/linux/alpha/syscalls.list (select, bind,
 	connect, getpeername, getsockname, listen, recv, recvfrom,
 	recvmsg, send, sendmsg, sendto, setsockopt, shutdown, socketpair):
 	added to override same-name assembly file in the parent directory.

	* stdlib/stdlib.h: add include of sys/types.h in front of random
 	etc declarations to ensure int32_t is declared.

	* stdlib/random.c, stdlib/random_r.c: replaced "long int" by int32_t
	where 32 bit integers are required.  Also change LONG_MAX into
	0x7fffffff since the intent is to turn off the sign bit in a
	32 bit integer.

	* time/offtime.c (__offtime): Use Paul Eggert's code to deal
	with very large values for "days" (e.g., 64 bit values).

Mon Feb 19 22:22:12 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* stdlib/stdlib.h (__random, __random_r, random_r, struct
 	random_data): use int32_t instead of `long int'.

Sat Feb 17 11:29:29 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* sysdeps/unix/sysv/linux/alpha/ioperm.c: new file.

	* sysdeps/alpha/ffs.S: new file.

	* sysdeps/alpha/fabs.c: File removed.

	* time/tzfile.c (__tzfile_read): counter variable is i, *not*
	num_transitions!

	* time/offtime.c: make capable of dealing with very large (64 bit)
 	time_t values.  Use old algorithm until a year is reached that
	is an integer multiple of 400, then use DAYS_PER_400_YEARS to
	do the remainder in a single division.

	* sysdeps/generic/ffs.c (ffs): fix variable declarations to
	be unsigned int, not unsigned long.

	* string/test-ffs.c (main): add test case with all upper bits
	set.

	* stdlib/tst-strtol.c: add tests cases for machines where
	sizeof(long)==8.

	* stdlib/testrand.c (main): disallow rand() to return negative
 	integers.

	* stdlib/testmb.c (main): fix format to use %lx instead of %x.

	* stdlib/stdlib.h: on 64 bit machines, declare
	struct random_data, __random(),  __random_r, and random_r to
	return "int" instead of "long int".

	* stdlib/random_r.c: 64 bit machines use "int" instead of "long
 	int".  Similarly, use INT_MAX instead of LONG_MAX.

	* stdlib/random.c: on 64 bit machines, randtbl[] and __random[]
 	need to operate on "int" instead of "long int".

	* locale/locfile-hash.c (compute_hashval): make shifted constant
	a long to avoid loosing bits on 64 bit machines.

	* dirent/tst-seekdir.c (main): fix confusing comment; print
	a line to mark point where directory is rewound.

Fri Feb 16 15:01:49 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* time/strftime.c (strftime): any hour > 11 is PM (not > 12!).

Wed Feb 14 00:21:17 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* sysdeps/unix/sysv/linux/alpha/Makefile,
	sysdeps/unix/sysv/linux/alpha/brk.S,
	sysdeps/unix/sysv/linux/alpha/fpu_control.c,
	sysdeps/unix/sysv/linux/alpha/fpu_control.h,
	sysdeps/unix/sysv/linux/alpha/ieee_get_fp_control.S,
	sysdeps/unix/sysv/linux/alpha/ieee_set_fp_control.S,
	sysdeps/unix/sysv/linux/alpha/pipe.S,
	sysdeps/unix/sysv/linux/alpha/setfpucw.c,
	sysdeps/unix/sysv/linux/alpha/sigprocmask.c,
	sysdeps/unix/sysv/linux/alpha/speed.c,
	sysdeps/unix/sysv/linux/alpha/start.S,
	sysdeps/unix/sysv/linux/alpha/syscall.S,
	sysdeps/unix/sysv/linux/alpha/syscalls.list,
	sysdeps/unix/sysv/linux/alpha/alpha/regdef.h,
	sysdeps/unix/sysv/linux/alpha/sysdep.S,
	sysdeps/unix/sysv/linux/alpha/sysdep.h: New files.

	* sysdeps/alpha/setjmp_aux.c (__sigsetjmp_aux): restore return
 	address register before returning (gcc 2.7.1 doesn't do it,
 	presumably because $26 is declared as a global variable).

	* sysdeps/unix/sysv/linux/sys/mman.h: msync was missing "flags"
	argument.

	* sysdeps/unix/alarm.c (alarm): do roundup using test & increment
	instead of multiplication.

	* sysdeps/posix/sleep.c (sleep): initialize sa_mask to mask of
	currently blocked signals instead of the empty mask to ensure
	that execution of alarm handler occurs with none of the currently
	blocked signals enabled.

	* sysdeps/unix/alpha/sysdep.h: new file (adapted from OSF/1 version).

	* sysdeps/unix/bsd/osf/alpha/sysdep.h: include
 	sysdeps/unix/alpha/sysdep.h and removed definitions now in that file.

	* sysdeps/alpha/divrem.S, sysdeps/alpha/htonl.S,
	sysdeps/alpha/htons.S, sysdeps/alpha/machine-gmon.h,
	sysdeps/alpha/_mcount.S, sysdeps/alpha/ntohl.s, sysdeps/alpha/ntohs.s,
	sysdeps/alpha/strlen.S: New files.

	* sysdeps/alpha/divl.S, sysdeps/alpha/divlu.S, sysdeps/alpha/divq.S,
	sysdeps/alpha/divqu.S, sysdeps/alpha/divrem.m4,
	sysdeps/alpha/macros.m4, sysdeps/alpha/reml.S, sysdeps/alpha/remlu.S,
	sysdeps/alpha/remq.S, sysdeps/alpha/remqu.S, sysdeps/alpha/strlen.c:
 	Removed.

	* sysdeps/generic/sbrk.c (__sbrk): argument is of type ptrdiff_t, not
	int.

	* sysdeps/alpha/__longjmp.c (__longjmp): moved dummy while loop
	to end of function to avoid a jump across NOPs.

	* sysdeps/alpha/Makefile (sysdep_routines): Removed all rules
 	pertaining to integer division/remainder routines since new code
 	doesn't require them.

	* sunrpc/xdr_mem.c, sunrpc/xdr_stdio.c: Use 4 instead of sizeof(long)
	where 32 bit quantities are consumed/stored.  Various other minor
	64-bit cleanups (casting).

	* sunrpc/xdr.c (xdr_int): test for sizeof(int)==4 to determine
 	whether xdr_long or xdr_short should be used to encode an int.
  	Notice that an xdr_long is 4 bytes independent of the architecture
	(otherwise no Alpha could interoperate with existing NFS servers,
 	for example).  Ditto for enums.

	* sunrpc/svc_udp.c (svcudp_recv): changed test from 4*sizeof(u_long)
	to 16 since it really wants 16 bytes.

	* sunrpc/svc.c (maskp): changed from u_long* to u_int32*.

	* sunrpc/rpc_cmsg.c (xdr_callmsg), sunrpc/svc_authux.c: increment
	"buf" pointer by casting it to a char* first since a long* may be 8
 	bytes or more and oa->oa_length may be any multiple of 4.

	* sunrpc/rpc/xdr.h (IXDR_GET_LONG, IXDR_PUT_LONG): change casts to
 	u_int32_t (instead of u_long).

	* sunrpc/clnt_udp.c (clntudp_call): replaced sizeof(u_long) by 4
	since it really is testing for 32 bits.  Fixed casts to use
	u_int32 instead of u_long.
	* sunrpc/xdr_rec.c: Likewise.

	* sunrpc/clnt_tcp.c (clnttcp_call): replaced u_long by u_int32.
	* sunrpc/rpc/auth.h: Likewise.

	* limits.h (LONG_MAX, LONG_MIN, ULONG_MAX): use 64 bit values
	for Alpha.

Tue Mar 19 13:27:49 1996  Roland McGrath  <roland@charlie-brown.gnu.ai.mit.edu>

	* sysdeps/i386/fpu/__math.h: New file.
	Contributed by John C. Bowman <bowman@hagar.ph.utexas.edu>.

Sun Mar 17 00:28:16 1996  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* sysdeps/posix/clock.c: Don't multiply the return value by
	CLOCKS_PER_SEC or CLK_TCK.

	* sysdeps/mach/hurd/getcwd.c: Fail with ENOENT if a parent directory
	scan finds no match.

	* posix/unistd.h (setpgrp): Declare no-arg version unless __FAVOR_BSD.
	* misc/bsd-compat.c (setpgrp): New function, two arg version.
	* sysdeps/stub/setpgid.c: Remove setpgrp alias.
	* sysdeps/mach/hurd/setpgid.c: Likewise.
	* sysdeps/unix/sysv/sysv4/setpgid.c: Likewise.
	* sysdeps/unix/common/syscalls.list (setpgid): Remove setpgrp alias.
	* sysdeps/unix/sysv/irix4/syscalls.list: Likewise.
	* sysdeps/unix/sysv/linux/setpgrp.c: Obsolete file removed.
	* posix/setpgrp.c (setpgrp): New file.
	* posix/Makefile (routines): Add setpgrp.

Tue Feb  6 12:46:29 1996  David Mosberger-Tang  <davidm@azstarnet.com>

	* libc-symbols.h (weak_alias, weak_symbol): added definitions
	for ECOFF (HAVE_ECOFF).
Diffstat (limited to 'sysdeps/i386')
-rw-r--r--sysdeps/i386/fpu/__math.h512
1 files changed, 512 insertions, 0 deletions
diff --git a/sysdeps/i386/fpu/__math.h b/sysdeps/i386/fpu/__math.h
new file mode 100644
index 0000000000..2a759c27cb
--- /dev/null
+++ b/sysdeps/i386/fpu/__math.h
@@ -0,0 +1,512 @@
+/* Inline math functions for i387.
+Copyright (C) 1995, 1996 Free Software Foundation, Inc.
+Contributed by John C. Bowman <bowman@hagar.ph.utexas.edu>
+
+This file is part of the GNU C Library.
+
+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
+
+#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;
+  __asm __volatile__
+    ("fptan"
+     : "=u" (__value) : "t" (__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 short __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 short __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);
+__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"
+     : "=u" (__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  */