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Fri Jun 7 16:48:13 1996 Roland McGrath <roland@delasyd.gnu.ai.mit.edu>

Browse Source 
* sysdeps/unix/sysv/linux/i386/Dist: New file, list sys/perm.h and
	sys/vm86.h.

	Removed old math code no longer used since the fdlibm integration.
	* sysdeps/stub/acos.c: File removed.
	* sysdeps/stub/asin.c: File removed.
	* sysdeps/stub/atan2.c: File removed.
	* sysdeps/stub/cosh.c: File removed.
	* sysdeps/stub/exp.c: File removed.
	* sysdeps/stub/fmod.c: File removed.
	* sysdeps/stub/frexp.c: File removed.
	* sysdeps/stub/log.c: File removed.
	* sysdeps/stub/log10.c: File removed.
	* sysdeps/stub/sinh.c: File removed.
	* sysdeps/stub/tan.c: File removed.
	* sysdeps/stub/tanh.c: File removed.
	* sysdeps/generic/acos.c: File removed.
	* sysdeps/generic/acosh.c: File removed.
	* sysdeps/generic/asin.c: File removed.
	* sysdeps/generic/asinh.c: File removed.
	* sysdeps/generic/atan.c: File removed.
	* sysdeps/generic/atan2.c: File removed.
	* sysdeps/generic/atanh.c: File removed.
	* sysdeps/generic/cabs.c: File removed.
	* sysdeps/generic/ceil.c: File removed.
	* sysdeps/generic/copysign.c: File removed.
	* sysdeps/generic/cosh.c: File removed.
	* sysdeps/generic/exp.c: File removed.
	* sysdeps/generic/expm1.c: File removed.
	* sysdeps/generic/fabs.c: File removed.
	* sysdeps/generic/floor.c: File removed.
	* sysdeps/generic/fmod.c: File removed.
	* sysdeps/generic/frexp.c: File removed.
	* sysdeps/generic/hypot.c: File removed.
	* sysdeps/generic/infnan.c: File removed.
	* sysdeps/generic/isnan.c: File removed.
	* sysdeps/generic/ldexp.c: File removed.
	* sysdeps/generic/log.c: File removed.
	* sysdeps/generic/log10.c: File removed.
	* sysdeps/generic/log1p.c: File removed.
	* sysdeps/generic/modf.c: File removed.
	* sysdeps/generic/pow.c: File removed.
	* sysdeps/generic/rint.c: File removed.
	* sysdeps/generic/sinh.c: File removed.
	* sysdeps/generic/tan.c: File removed.
	* sysdeps/generic/tanh.c: File removed.
	* sysdeps/ieee754/cabs.c: File removed.
	* sysdeps/ieee754/copysign.c: File removed.
	* sysdeps/ieee754/frexp.c: File removed.
	* sysdeps/ieee754/hypot.c: File removed.
	* sysdeps/ieee754/infnan.c: File removed.
	* sysdeps/ieee754/ldexp.c: File removed.
	* sysdeps/ieee754/log10.c: File removed.

	* posix/Makefile (headers): Add schedbits.h.

	* math/Makefile (elided-routines): Add long double routines.

Fri Jun  7 09:11:17 1996  Roland McGrath  <roland@delasyd.gnu.ai.mit.edu>

	* sysdeps/unix/sysv/linux/Dist: Add sys/sysinfo.h, sys/mount.h,
	sys/kdaemon.h, sys/io.h, sys/mount.h, sysctl.c.

	* gmon/Makefile (distribute): Add profil-counter.h.

	* sysdeps/unix/sysv/linux/alpha/Dist: New file.

	* sysdeps/unix/Dist: Add s-proto.S.

	* sysdeps/unix/common/mk-local_lim.c: Obsolete file removed.

	* Make-dist (+sysdep-tsrcs): Get all syscalls.list files too.

	* csu/Makefile (distribute): Add start.c.

	* elf/Makefile (distribute): Add dl-machine.h.

	* sysdeps/alpha/Dist: Add _mcount.S.

	* sysdeps/alpha/Makefile (sysdep_routines): Append instead of
	resetting; don't add bb_init_func.

	* string/Makefile (routines): Add strerror_r.
	* string/string.h (strerror_r): Use int for BUFLEN arg.

	* Makefile (distribute): Add shlib-versions.

	* po/Makefile (distribute): Add SYS_libc.pot.

	* misc/Makefile (routines): Add lsearch.

	* manual/lang.texi (Consistency Checking): Merge in assert_perror defn
	and other changes inadvertently made to the obsolete assert.texi.
	* manual/assert.texi: File removed.

	* mach/mach_syscalls.c: Obsolete file removed.
	* mach/mach_syscalls.h: Likewise.
	* mach/mach_traps.S: Likewise.
	* mach/msg_destroy.c: Likewise.
	* mach/vm_page_size.c: Likewise.

	* locale/Makefile (distribute): Add weight.h, charset.h.

	* Makefile (distribute): Add version.h.

	* hurd/Makefile (headers): Add hurd/ioctl.h.
	(distribute): Add intr-rpc.d, intr-rpc.h, faultexc.defs.

	* csu/Makefile (distribute): Add gmon-start.c.

	* Makefile (distribute): Add config.h.in.

	sysdeps/m68k/fpu/e_atanhl.c, sysdeps/m68k/fpu/e_coshl.c: New files.
This commit is contained in:
Roland McGrath 1996-06-07 21:18:34 +00:00
parent 6f3e22dc48
commit bf668fc8f0
54 changed files with 121 additions and 4192 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

117
ChangeLog
View File

@ -1,3 +1,63 @@
Fri Jun 7 16:48:13 1996 Roland McGrath <roland@delasyd.gnu.ai.mit.edu>
* sysdeps/unix/sysv/linux/i386/Dist: New file, list sys/perm.h and
sys/vm86.h.
Removed old math code no longer used since the fdlibm integration.
* sysdeps/stub/acos.c: File removed.
* sysdeps/stub/asin.c: File removed.
* sysdeps/stub/atan2.c: File removed.
* sysdeps/stub/cosh.c: File removed.
* sysdeps/stub/exp.c: File removed.
* sysdeps/stub/fmod.c: File removed.
* sysdeps/stub/frexp.c: File removed.
* sysdeps/stub/log.c: File removed.
* sysdeps/stub/log10.c: File removed.
* sysdeps/stub/sinh.c: File removed.
* sysdeps/stub/tan.c: File removed.
* sysdeps/stub/tanh.c: File removed.
* sysdeps/generic/acos.c: File removed.
* sysdeps/generic/acosh.c: File removed.
* sysdeps/generic/asin.c: File removed.
* sysdeps/generic/asinh.c: File removed.
* sysdeps/generic/atan.c: File removed.
* sysdeps/generic/atan2.c: File removed.
* sysdeps/generic/atanh.c: File removed.
* sysdeps/generic/cabs.c: File removed.
* sysdeps/generic/ceil.c: File removed.
* sysdeps/generic/copysign.c: File removed.
* sysdeps/generic/cosh.c: File removed.
* sysdeps/generic/exp.c: File removed.
* sysdeps/generic/expm1.c: File removed.
* sysdeps/generic/fabs.c: File removed.
* sysdeps/generic/floor.c: File removed.
* sysdeps/generic/fmod.c: File removed.
* sysdeps/generic/frexp.c: File removed.
* sysdeps/generic/hypot.c: File removed.
* sysdeps/generic/infnan.c: File removed.
* sysdeps/generic/isnan.c: File removed.
* sysdeps/generic/ldexp.c: File removed.
* sysdeps/generic/log.c: File removed.
* sysdeps/generic/log10.c: File removed.
* sysdeps/generic/log1p.c: File removed.
* sysdeps/generic/modf.c: File removed.
* sysdeps/generic/pow.c: File removed.
* sysdeps/generic/rint.c: File removed.
* sysdeps/generic/sinh.c: File removed.
* sysdeps/generic/tan.c: File removed.
* sysdeps/generic/tanh.c: File removed.
* sysdeps/ieee754/cabs.c: File removed.
* sysdeps/ieee754/copysign.c: File removed.
* sysdeps/ieee754/frexp.c: File removed.
* sysdeps/ieee754/hypot.c: File removed.
* sysdeps/ieee754/infnan.c: File removed.
* sysdeps/ieee754/ldexp.c: File removed.
* sysdeps/ieee754/log10.c: File removed.
* posix/Makefile (headers): Add schedbits.h.
* math/Makefile (elided-routines): Add long double routines.
Fri Jun 7 11:02:22 1996 Miles Bader <miles@gnu.ai.mit.edu>
* login/login.c (tty_name): New function.
@ -5,6 +65,60 @@ Fri Jun 7 11:02:22 1996 Miles Bader <miles@gnu.ai.mit.edu>
(PATH_MAX): MACRO removed.
<stdlib.h>: New include.
Fri Jun 7 09:11:17 1996 Roland McGrath <roland@delasyd.gnu.ai.mit.edu>
* sysdeps/unix/sysv/linux/Dist: Add sys/sysinfo.h, sys/mount.h,
sys/kdaemon.h, sys/io.h, sys/mount.h, sysctl.c.
* gmon/Makefile (distribute): Add profil-counter.h.
* sysdeps/unix/sysv/linux/alpha/Dist: New file.
* sysdeps/unix/Dist: Add s-proto.S.
* sysdeps/unix/common/mk-local_lim.c: Obsolete file removed.
* Make-dist (+sysdep-tsrcs): Get all syscalls.list files too.
* csu/Makefile (distribute): Add start.c.
* elf/Makefile (distribute): Add dl-machine.h.
* sysdeps/alpha/Dist: Add _mcount.S.
* sysdeps/alpha/Makefile (sysdep_routines): Append instead of
resetting; don't add bb_init_func.
* string/Makefile (routines): Add strerror_r.
* string/string.h (strerror_r): Use int for BUFLEN arg.
* Makefile (distribute): Add shlib-versions.
* po/Makefile (distribute): Add SYS_libc.pot.
* misc/Makefile (routines): Add lsearch.
* manual/lang.texi (Consistency Checking): Merge in assert_perror defn
and other changes inadvertently made to the obsolete assert.texi.
* manual/assert.texi: File removed.
* mach/mach_syscalls.c: Obsolete file removed.
* mach/mach_syscalls.h: Likewise.
* mach/mach_traps.S: Likewise.
* mach/msg_destroy.c: Likewise.
* mach/vm_page_size.c: Likewise.
* locale/Makefile (distribute): Add weight.h, charset.h.
* Makefile (distribute): Add version.h.
* hurd/Makefile (headers): Add hurd/ioctl.h.
(distribute): Add intr-rpc.d, intr-rpc.h, faultexc.defs.
* csu/Makefile (distribute): Add gmon-start.c.
* Makefile (distribute): Add config.h.in.
Wed Jun 5 22:06:21 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
* sysdeps/m68k/dl-machine.h (elf_machine_rela): Fix type of reloc
@ -110,7 +224,6 @@ Tue Jun 4 22:03:02 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.
* sysdeps/m68k/fpu/__math.h: Define long double versions of
the inline functions.
* sysdeps/m68k/fpu/e_asinl.c, sysdeps/m68k/fpu/e_atanl.c,
sysdeps/m68k/fpu/e_acosl.c, sysdeps/m68k/fpu/e_expl.c,
sysdeps/m68k/fpu/e_fmodl.c, sysdeps/m68k/fpu/e_log10l.c,
@ -128,7 +241,7 @@ Tue Jun 4 22:03:02 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.
sysdeps/m68k/fpu/s_logbl.c, sysdeps/m68k/fpu/s_modfl.c,
sysdeps/m68k/fpu/s_rintl.c, sysdeps/m68k/fpu/s_scalbnl.c,
sysdeps/m68k/fpu/s_significandl.c, sysdeps/m68k/fpu/s_sinl.c,
sysdeps/m68k/fpu/s_tanhl.c, sysdeps/m68k/fpu/s_tanl.c: New files.
sysdeps/m68k/fpu/e_atanhl.c, sysdeps/m68k/fpu/e_coshl.c: New files.
* sysdeps/m68k/fpu/e_acos.c, sysdeps/m68k/fpu/e_fmod.c,
sysdeps/m68k/fpu/k_cos.c, sysdeps/m68k/fpu/k_sin.c,

BIN
manual/examples/search
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5
math/Makefile
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@ -46,7 +46,9 @@ libm-calls = e_acos e_acosh e_asin e_atan2 e_atanh e_cosh e_exp e_fmod \
libm-routines = $(libm-support) $(libm-calls) \
$(patsubst %_rf,%f_r,$(libm-calls:=f)) \
$(long-m-$(long-double-fcts))
#long-m-yes = $(patsubst %_rl,%l_r,$(libm-calls:=l)) # not ready yet
#long-m-yes = $(long-m-routines) # uncomment this when code is ready
long-m-routines = $(patsubst %_rl,%l_r,$(libm-calls:=l)) # not ready yet
elided-routines = $(long-m-routines)
# These functions are in libc instead of libm because __printf_fp
@ -55,6 +57,7 @@ libm-routines = $(libm-support) $(libm-calls) \
calls = s_isinf s_isnan
routines = $(calls) $(calls:=f) $(long-c-$(long-double-fcts))
long-c-yes = $(calls:=l)
elided-routines += $(long-c-yes)
include ../Rules

2
posix/Makefile
View File

@ -25,7 +25,7 @@ headers := sys/utsname.h sys/times.h sys/wait.h sys/types.h unistd.h \
glob.h regex.h wordexp.h fnmatch.h gnu/types.h getopt.h \
posix1_lim.h posix2_lim.h posix_opt.h local_lim.h tar.h \
utsnamelen.h confname.h waitflags.h waitstatus.h sys/unistd.h \
sched.h
sched.h schedbits.h
distribute := confstr.h

42
sysdeps/generic/acos.c
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@ -1,42 +0,0 @@
/* Copyright (C) 1991 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the inverse cosine of X. */
double
DEFUN(acos, (x), double x)
{
double t;
if (__isnan(x))
{
errno = EDOM;
return x;
}
if (x == -1.0)
/* If X is -1, the general formula blows up (zero divided by zero loses),
but we know that acos(-1) = pi. */
t = atan2(1.0, 0.0);
else
t = atan2(sqrt((1.0 - x) / (1.0 + x)), 1.0);
return t + t;
}

102
sysdeps/generic/acosh.c
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@ -1,102 +0,0 @@
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)acosh.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* ACOSH(X)
* RETURN THE INVERSE HYPERBOLIC COSINE OF X
* DOUBLE PRECISION (VAX D FORMAT 56 BITS, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 2/16/85;
* REVISED BY K.C. NG on 3/6/85, 3/24/85, 4/16/85, 8/17/85.
*
* Required system supported functions :
* sqrt(x)
*
* Required kernel function:
* log1p(x) ...return log(1+x)
*
* Method :
* Based on
* acosh(x) = log [ x + sqrt(x*x-1) ]
* we have
* acosh(x) := log1p(x)+ln2, if (x > 1.0E20); else
* acosh(x) := log1p( sqrt(x-1) * (sqrt(x-1) + sqrt(x+1)) ) .
* These formulae avoid the over/underflow complication.
*
* Special cases:
* acosh(x) is NaN with signal if x<1.
* acosh(NaN) is NaN without signal.
*
* Accuracy:
* acosh(x) returns the exact inverse hyperbolic cosine of x nearly
* rounded. In a test run with 512,000 random arguments on a VAX, the
* maximum observed error was 3.30 ulps (units of the last place) at
* x=1.0070493753568216 .
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000)
vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000)
ic(ln2lo, 1.9082149292705877000E-10,-33, 1.A39EF35793C76)
#ifdef vccast
#define ln2hi vccast(ln2hi)
#define ln2lo vccast(ln2lo)
#endif
double acosh(x)
double x;
{
double t,big=1.E20; /* big+1==big */
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
/* return log1p(x) + log(2) if x is large */
if(x>big) {t=log1p(x)+ln2lo; return(t+ln2hi);}
t=sqrt(x-1.0);
return(log1p(t*(t+sqrt(x+1.0))));
}

44
sysdeps/generic/asin.c
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@ -1,44 +0,0 @@
/* Copyright (C) 1991 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the inverse sine of X. */
double
DEFUN(asin, (x), double x)
{
double abs_x;
if (__isnan(x))
{
errno = EDOM;
return x;
}
abs_x = fabs(x);
if (abs_x <= 0.5)
return atan2(x, sqrt(1.0 - (x * x)));
else
{
double t = 1.0 - abs_x;
return atan2(x, sqrt((t + t) - (t * t)));
}
}

101
sysdeps/generic/asinh.c
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@ -1,101 +0,0 @@
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)asinh.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* ASINH(X)
* RETURN THE INVERSE HYPERBOLIC SINE OF X
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 2/16/85;
* REVISED BY K.C. NG on 3/7/85, 3/24/85, 4/16/85.
*
* Required system supported functions :
* copysign(x,y)
* sqrt(x)
*
* Required kernel function:
* log1p(x) ...return log(1+x)
*
* Method :
* Based on
* asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
* we have
* asinh(x) := x if 1+x*x=1,
* := sign(x)*(log1p(x)+ln2)) if sqrt(1+x*x)=x, else
* := sign(x)*log1p(|x| + |x|/(1/|x| + sqrt(1+(1/|x|)^2)) )
*
* Accuracy:
* asinh(x) returns the exact inverse hyperbolic sine of x nearly rounded.
* In a test run with 52,000 random arguments on a VAX, the maximum
* observed error was 1.58 ulps (units in the last place).
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000)
vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000)
ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76)
#ifdef vccast
#define ln2hi vccast(ln2hi)
#define ln2lo vccast(ln2lo)
#endif
double asinh(x)
double x;
{
double t,s;
const static double small=1.0E-10, /* fl(1+small*small) == 1 */
big =1.0E20, /* fl(1+big) == big */
one =1.0 ;
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
if((t=copysign(x,one))>small)
if(t<big) {
s=one/t; return(copysign(log1p(t+t/(s+sqrt(one+s*s))),x)); }
else /* if |x| > big */
{s=log1p(t)+ln2lo; return(copysign(s+ln2hi,x));}
else /* if |x| < small */
return(x);
}

27
sysdeps/generic/atan.c
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@ -1,27 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
/* Return the inverse tangent of X. */
double
DEFUN(atan, (x), register double x)
{
return atan2(x, 1.0);
}

281
sysdeps/generic/atan2.c
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@ -1,281 +0,0 @@
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)atan2.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* ATAN2(Y,X)
* RETURN ARG (X+iY)
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 1/8/85;
* REVISED BY K.C. NG on 2/7/85, 2/13/85, 3/7/85, 3/30/85, 6/29/85.
*
* Required system supported functions :
* copysign(x,y)
* scalb(x,y)
* logb(x)
*
* Method :
* 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
* 2. Reduce x to positive by (if x and y are unexceptional):
* ARG (x+iy) = arctan(y/x) ... if x > 0,
* ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
* 3. According to the integer k=4t+0.25 truncated , t=y/x, the argument
* is further reduced to one of the following intervals and the
* arctangent of y/x is evaluated by the corresponding formula:
*
* [0,7/16] atan(y/x) = t - t^3*(a1+t^2*(a2+...(a10+t^2*a11)...)
* [7/16,11/16] atan(y/x) = atan(1/2) + atan( (y-x/2)/(x+y/2) )
* [11/16.19/16] atan(y/x) = atan( 1 ) + atan( (y-x)/(x+y) )
* [19/16,39/16] atan(y/x) = atan(3/2) + atan( (y-1.5x)/(x+1.5y) )
* [39/16,INF] atan(y/x) = atan(INF) + atan( -x/y )
*
* Special cases:
* Notations: atan2(y,x) == ARG (x+iy) == ARG(x,y).
*
* ARG( NAN , (anything) ) is NaN;
* ARG( (anything), NaN ) is NaN;
* ARG(+(anything but NaN), +-0) is +-0 ;
* ARG(-(anything but NaN), +-0) is +-PI ;
* ARG( 0, +-(anything but 0 and NaN) ) is +-PI/2;
* ARG( +INF,+-(anything but INF and NaN) ) is +-0 ;
* ARG( -INF,+-(anything but INF and NaN) ) is +-PI;
* ARG( +INF,+-INF ) is +-PI/4 ;
* ARG( -INF,+-INF ) is +-3PI/4;
* ARG( (anything but,0,NaN, and INF),+-INF ) is +-PI/2;
*
* Accuracy:
* atan2(y,x) returns (PI/pi) * the exact ARG (x+iy) nearly rounded,
* where
*
* in decimal:
* pi = 3.141592653589793 23846264338327 .....
* 53 bits PI = 3.141592653589793 115997963 ..... ,
* 56 bits PI = 3.141592653589793 227020265 ..... ,
*
* in hexadecimal:
* pi = 3.243F6A8885A308D313198A2E....
* 53 bits PI = 3.243F6A8885A30 = 2 * 1.921FB54442D18 error=.276ulps
* 56 bits PI = 3.243F6A8885A308 = 4 * .C90FDAA22168C2 error=.206ulps
*
* In a test run with 356,000 random argument on [-1,1] * [-1,1] on a
* VAX, the maximum observed error was 1.41 ulps (units of the last place)
* compared with (PI/pi)*(the exact ARG(x+iy)).
*
* Note:
* We use machine PI (the true pi rounded) in place of the actual
* value of pi for all the trig and inverse trig functions. In general,
* if trig is one of sin, cos, tan, then computed trig(y) returns the
* exact trig(y*pi/PI) nearly rounded; correspondingly, computed arctrig
* returns the exact arctrig(y)*PI/pi nearly rounded. These guarantee the
* trig functions have period PI, and trig(arctrig(x)) returns x for
* all critical values x.
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(athfhi, 4.6364760900080611433E-1 ,6338,3fed,da7b,2b0d, -1, .ED63382B0DDA7B)
vc(athflo, 1.9338828231967579916E-19 ,5005,2164,92c0,9cfe, -62, .E450059CFE92C0)
vc(PIo4, 7.8539816339744830676E-1 ,0fda,4049,68c2,a221, 0, .C90FDAA22168C2)
vc(at1fhi, 9.8279372324732906796E-1 ,985e,407b,b4d9,940f, 0, .FB985E940FB4D9)
vc(at1flo,-3.5540295636764633916E-18 ,1edc,a383,eaea,34d6, -57,-.831EDC34D6EAEA)
vc(PIo2, 1.5707963267948966135E0 ,0fda,40c9,68c2,a221, 1, .C90FDAA22168C2)
vc(PI, 3.1415926535897932270E0 ,0fda,4149,68c2,a221, 2, .C90FDAA22168C2)
vc(a1, 3.3333333333333473730E-1 ,aaaa,3faa,ab75,aaaa, -1, .AAAAAAAAAAAB75)
vc(a2, -2.0000000000017730678E-1 ,cccc,bf4c,946e,cccd, -2,-.CCCCCCCCCD946E)
vc(a3, 1.4285714286694640301E-1 ,4924,3f12,4262,9274, -2, .92492492744262)
vc(a4, -1.1111111135032672795E-1 ,8e38,bee3,6292,ebc6, -3,-.E38E38EBC66292)
vc(a5, 9.0909091380563043783E-2 ,2e8b,3eba,d70c,b31b, -3, .BA2E8BB31BD70C)
vc(a6, -7.6922954286089459397E-2 ,89c8,be9d,7f18,27c3, -3,-.9D89C827C37F18)
vc(a7, 6.6663180891693915586E-2 ,86b4,3e88,9e58,ae37, -3, .8886B4AE379E58)
vc(a8, -5.8772703698290408927E-2 ,bba5,be70,a942,8481, -4,-.F0BBA58481A942)
vc(a9, 5.2170707402812969804E-2 ,b0f3,3e55,13ab,a1ab, -4, .D5B0F3A1AB13AB)
vc(a10, -4.4895863157820361210E-2 ,e4b9,be37,048f,7fd1, -4,-.B7E4B97FD1048F)
vc(a11, 3.3006147437343875094E-2 ,3174,3e07,2d87,3cf7, -4, .8731743CF72D87)
vc(a12, -1.4614844866464185439E-2 ,731a,bd6f,76d9,2f34, -6,-.EF731A2F3476D9)
ic(athfhi, 4.6364760900080609352E-1 , -2, 1.DAC670561BB4F)
ic(athflo, 4.6249969567426939759E-18 , -58, 1.5543B8F253271)
ic(PIo4, 7.8539816339744827900E-1 , -1, 1.921FB54442D18)
ic(at1fhi, 9.8279372324732905408E-1 , -1, 1.F730BD281F69B)
ic(at1flo,-2.4407677060164810007E-17 , -56, -1.C23DFEFEAE6B5)
ic(PIo2, 1.5707963267948965580E0 , 0, 1.921FB54442D18)
ic(PI, 3.1415926535897931160E0 , 1, 1.921FB54442D18)
ic(a1, 3.3333333333333942106E-1 , -2, 1.55555555555C3)
ic(a2, -1.9999999999979536924E-1 , -3, -1.9999999997CCD)
ic(a3, 1.4285714278004377209E-1 , -3, 1.24924921EC1D7)
ic(a4, -1.1111110579344973814E-1 , -4, -1.C71C7059AF280)
ic(a5, 9.0908906105474668324E-2 , -4, 1.745CE5AA35DB2)
ic(a6, -7.6919217767468239799E-2 , -4, -1.3B0FA54BEC400)
ic(a7, 6.6614695906082474486E-2 , -4, 1.10DA924597FFF)
ic(a8, -5.8358371008508623523E-2 , -5, -1.DE125FDDBD793)
ic(a9, 4.9850617156082015213E-2 , -5, 1.9860524BDD807)
ic(a10, -3.6700606902093604877E-2 , -5, -1.2CA6C04C6937A)
ic(a11, 1.6438029044759730479E-2 , -6, 1.0D52174A1BB54)
#ifdef vccast
#define athfhi vccast(athfhi)
#define athflo vccast(athflo)
#define PIo4 vccast(PIo4)
#define at1fhi vccast(at1fhi)
#define at1flo vccast(at1flo)
#define PIo2 vccast(PIo2)
#define PI vccast(PI)
#define a1 vccast(a1)
#define a2 vccast(a2)
#define a3 vccast(a3)
#define a4 vccast(a4)
#define a5 vccast(a5)
#define a6 vccast(a6)
#define a7 vccast(a7)
#define a8 vccast(a8)
#define a9 vccast(a9)
#define a10 vccast(a10)
#define a11 vccast(a11)
#define a12 vccast(a12)
#endif
double atan2(y,x)
double y,x;
{
static const double zero=0, one=1, small=1.0E-9, big=1.0E18;
double t,z,signy,signx,hi,lo;
int k,m;
#if !defined(vax)&&!defined(tahoe)
/* if x or y is NAN */
if(x!=x) return(x); if(y!=y) return(y);
#endif /* !defined(vax)&&!defined(tahoe) */
/* copy down the sign of y and x */
signy = copysign(one,y) ;
signx = copysign(one,x) ;
/* if x is 1.0, goto begin */
if(x==1) { y=copysign(y,one); t=y; if(finite(t)) goto begin;}
/* when y = 0 */
if(y==zero) return((signx==one)?y:copysign(PI,signy));
/* when x = 0 */
if(x==zero) return(copysign(PIo2,signy));
/* when x is INF */
if(!finite(x))
if(!finite(y))
return(copysign((signx==one)?PIo4:3*PIo4,signy));
else
return(copysign((signx==one)?zero:PI,signy));
/* when y is INF */
if(!finite(y)) return(copysign(PIo2,signy));
/* compute y/x */
x=copysign(x,one);
y=copysign(y,one);
if((m=(k=logb(y))-logb(x)) > 60) t=big+big;
else if(m < -80 ) t=y/x;
else { t = y/x ; y = scalb(y,-k); x=scalb(x,-k); }
/* begin argument reduction */
begin:
if (t < 2.4375) {
/* truncate 4(t+1/16) to integer for branching */
k = 4 * (t+0.0625);
switch (k) {
/* t is in [0,7/16] */
case 0:
case 1:
if (t < small)
{ big + small ; /* raise inexact flag */
return (copysign((signx>zero)?t:PI-t,signy)); }
hi = zero; lo = zero; break;
/* t is in [7/16,11/16] */
case 2:
hi = athfhi; lo = athflo;
z = x+x;
t = ( (y+y) - x ) / ( z + y ); break;
/* t is in [11/16,19/16] */
case 3:
case 4:
hi = PIo4; lo = zero;
t = ( y - x ) / ( x + y ); break;
/* t is in [19/16,39/16] */
default:
hi = at1fhi; lo = at1flo;
z = y-x; y=y+y+y; t = x+x;
t = ( (z+z)-x ) / ( t + y ); break;
}
}
/* end of if (t < 2.4375) */
else
{
hi = PIo2; lo = zero;
/* t is in [2.4375, big] */
if (t <= big) t = - x / y;
/* t is in [big, INF] */
else
{ big+small; /* raise inexact flag */
t = zero; }
}
/* end of argument reduction */
/* compute atan(t) for t in [-.4375, .4375] */
z = t*t;
#if defined(vax)||defined(tahoe)
z = t*(z*(a1+z*(a2+z*(a3+z*(a4+z*(a5+z*(a6+z*(a7+z*(a8+
z*(a9+z*(a10+z*(a11+z*a12))))))))))));
#else /* defined(vax)||defined(tahoe) */
z = t*(z*(a1+z*(a2+z*(a3+z*(a4+z*(a5+z*(a6+z*(a7+z*(a8+
z*(a9+z*(a10+z*a11)))))))))));
#endif /* defined(vax)||defined(tahoe) */
z = lo - z; z += t; z += hi;
return(copysign((signx>zero)?z:PI-z,signy));
}

83
sysdeps/generic/atanh.c
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@ -1,83 +0,0 @@
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)atanh.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* ATANH(X)
* RETURN THE HYPERBOLIC ARC TANGENT OF X
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 1/8/85;
* REVISED BY K.C. NG on 2/7/85, 3/7/85, 8/18/85.
*
* Required kernel function:
* log1p(x) ...return log(1+x)
*
* Method :
* Return
* 1 2x x
* atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
* 2 1 - x 1 - x
*
* Special cases:
* atanh(x) is NaN if |x| > 1 with signal;
* atanh(NaN) is that NaN with no signal;
* atanh(+-1) is +-INF with signal.
*
* Accuracy:
* atanh(x) returns the exact hyperbolic arc tangent of x nearly rounded.
* In a test run with 512,000 random arguments on a VAX, the maximum
* observed error was 1.87 ulps (units in the last place) at
* x= -3.8962076028810414000e-03.
*/
#include "mathimpl.h"
#if defined(vax)||defined(tahoe)
#include <errno.h>
#endif /* defined(vax)||defined(tahoe) */
double atanh(x)
double x;
{
double z;
z = copysign(0.5,x);
x = copysign(x,1.0);
#if defined(vax)||defined(tahoe)
if (x == 1.0) {
return(copysign(1.0,z)*infnan(ERANGE)); /* sign(x)*INF */
}
#endif /* defined(vax)||defined(tahoe) */
x = x/(1.0-x);
return( z*log1p(x+x) );
}

26
sysdeps/generic/cabs.c
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@ -1,26 +0,0 @@
/* Copyright (C) 1992, 1993 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
double
DEFUN(cabs, (z), struct __cabs_complex z)
{
return hypot (z.__x, z.__y);
}

68
sysdeps/generic/ceil.c
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@ -1,68 +0,0 @@
/* snarfed from BSD common_source/floor.c:
* Copyright (c) 1985 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)floor.c 5.7 (Berkeley) 10/9/90";
#endif /* not lint */
#include "mathimpl.h"
vc(L, 4503599627370496.0E0 ,0000,5c00,0000,0000, 55, 1.0) /* 2**55 */
ic(L, 4503599627370496.0E0, 52, 1.0) /* 2**52 */
#ifdef vccast
#define L vccast(L)
#endif
double
ceil(x)
double x;
{
double y;
if (
#if !defined(vax)&&!defined(tahoe)
x != x || /* NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
x >= L) /* already an even integer */
return x;
else if (x < (double)0)
return -floor(-x);
else { /* now 0 <= x < L */
y = L+x; /* destructive store must be forced */
y -= L; /* an integer, and |x-y| < 1 */
return x > y ? y+(double)1 : y;
}
}

30
sysdeps/generic/copysign.c
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@ -1,30 +0,0 @@
/* Copyright (C) 1992, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
/* Return X with its signed changed to Y's. */
double
DEFUN(__copysign, (x, y), double x AND double y)
{
x = fabs (x);
return y < 0 ? - x : x;
}
weak_alias (__copysign, copysign)

133
sysdeps/generic/cosh.c
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/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)cosh.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* COSH(X)
* RETURN THE HYPERBOLIC COSINE OF X
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 1/8/85;
* REVISED BY K.C. NG on 2/8/85, 2/23/85, 3/7/85, 3/29/85, 4/16/85.
*
* Required system supported functions :
* copysign(x,y)
* scalb(x,N)
*
* Required kernel function:
* exp(x)
* exp__E(x,c) ...return exp(x+c)-1-x for |x|<0.3465
*
* Method :
* 1. Replace x by |x|.
* 2.
* [ exp(x) - 1 ]^2
* 0 <= x <= 0.3465 : cosh(x) := 1 + -------------------
* 2*exp(x)
*
* exp(x) + 1/exp(x)
* 0.3465 <= x <= 22 : cosh(x) := -------------------
* 2
* 22 <= x <= lnovfl : cosh(x) := exp(x)/2
* lnovfl <= x <= lnovfl+log(2)
* : cosh(x) := exp(x)/2 (avoid overflow)
* log(2)+lnovfl < x < INF: overflow to INF
*
* Note: .3465 is a number near one half of ln2.
*
* Special cases:
* cosh(x) is x if x is +INF, -INF, or NaN.
* only cosh(0)=1 is exact for finite x.
*
* Accuracy:
* cosh(x) returns the exact hyperbolic cosine of x nearly rounded.
* In a test run with 768,000 random arguments on a VAX, the maximum
* observed error was 1.23 ulps (units in the last place).
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(mln2hi, 8.8029691931113054792E1 ,0f33,43b0,2bdb,c7e2, 7, .B00F33C7E22BDB)
vc(mln2lo,-4.9650192275318476525E-16 ,1b60,a70f,582a,279e, -50,-.8F1B60279E582A)
vc(lnovfl, 8.8029691931113053016E1 ,0f33,43b0,2bda,c7e2, 7, .B00F33C7E22BDA)
ic(mln2hi, 7.0978271289338397310E2, 10, 1.62E42FEFA39EF)
ic(mln2lo, 2.3747039373786107478E-14, -45, 1.ABC9E3B39803F)
ic(lnovfl, 7.0978271289338397310E2, 9, 1.62E42FEFA39EF)
#ifdef vccast
#define mln2hi vccast(mln2hi)
#define mln2lo vccast(mln2lo)
#define lnovfl vccast(lnovfl)
#endif
#if defined(vax)||defined(tahoe)
static max = 126 ;
#else /* defined(vax)||defined(tahoe) */
static max = 1023 ;
#endif /* defined(vax)||defined(tahoe) */
double cosh(x)
double x;
{
static const double half=1.0/2.0,
one=1.0, small=1.0E-18; /* fl(1+small)==1 */
double t;
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
if((x=copysign(x,one)) <= 22)
if(x<0.3465)
if(x<small) return(one+x);
else {t=x+__exp__E(x,0.0);x=t+t; return(one+t*t/(2.0+x)); }
else /* for x lies in [0.3465,22] */
{ t=exp(x); return((t+one/t)*half); }
if( lnovfl <= x && x <= (lnovfl+0.7))
/* for x lies in [lnovfl, lnovfl+ln2], decrease x by ln(2^(max+1))
* and return 2^max*exp(x) to avoid unnecessary overflow
*/
return(scalb(exp((x-mln2hi)-mln2lo), max));
else
return(exp(x)*half); /* for large x, cosh(x)=exp(x)/2 */
}

203
sysdeps/generic/exp.c
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@ -1,203 +0,0 @@
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)exp.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* EXP(X)
* RETURN THE EXPONENTIAL OF X
* DOUBLE PRECISION (IEEE 53 bits, VAX D FORMAT 56 BITS)
* CODED IN C BY K.C. NG, 1/19/85;
* REVISED BY K.C. NG on 2/6/85, 2/15/85, 3/7/85, 3/24/85, 4/16/85, 6/14/86.
*
* Required system supported functions:
* scalb(x,n)
* copysign(x,y)
* finite(x)
*
* Method:
* 1. Argument Reduction: given the input x, find r and integer k such
* that
* x = k*ln2 + r, |r| <= 0.5*ln2 .
* r will be represented as r := z+c for better accuracy.
*
* 2. Compute exp(r) by
*
* exp(r) = 1 + r + r*R1/(2-R1),
* where
* R1 = x - x^2*(p1+x^2*(p2+x^2*(p3+x^2*(p4+p5*x^2)))).
*
* 3. exp(x) = 2^k * exp(r) .
*
* Special cases:
* exp(INF) is INF, exp(NaN) is NaN;
* exp(-INF)= 0;
* for finite argument, only exp(0)=1 is exact.
*
* Accuracy:
* exp(x) returns the exponential of x nearly rounded. In a test run
* with 1,156,000 random arguments on a VAX, the maximum observed
* error was 0.869 ulps (units in the last place).
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000)
vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
vc(lnhuge, 9.4961163736712506989E1 ,ec1d,43bd,9010,a73e, 7, .BDEC1DA73E9010)
vc(lntiny,-9.5654310917272452386E1 ,4f01,c3bf,33af,d72e, 7,-.BF4F01D72E33AF)
vc(invln2, 1.4426950408889634148E0 ,aa3b,40b8,17f1,295c, 1, .B8AA3B295C17F1)
vc(p1, 1.6666666666666602251E-1 ,aaaa,3f2a,a9f1,aaaa, -2, .AAAAAAAAAAA9F1)
vc(p2, -2.7777777777015591216E-3 ,0b60,bc36,ec94,b5f5, -8,-.B60B60B5F5EC94)
vc(p3, 6.6137563214379341918E-5 ,b355,398a,f15f,792e, -13, .8AB355792EF15F)
vc(p4, -1.6533902205465250480E-6 ,ea0e,b6dd,5f84,2e93, -19,-.DDEA0E2E935F84)
vc(p5, 4.1381367970572387085E-8 ,bb4b,3431,2683,95f5, -24, .B1BB4B95F52683)
#ifdef vccast
#define ln2hi vccast(ln2hi)
#define ln2lo vccast(ln2lo)
#define lnhuge vccast(lnhuge)
#define lntiny vccast(lntiny)
#define invln2 vccast(invln2)
#define p1 vccast(p1)
#define p2 vccast(p2)
#define p3 vccast(p3)
#define p4 vccast(p4)
#define p5 vccast(p5)
#endif
ic(p1, 1.6666666666666601904E-1, -3, 1.555555555553E)
ic(p2, -2.7777777777015593384E-3, -9, -1.6C16C16BEBD93)
ic(p3, 6.6137563214379343612E-5, -14, 1.1566AAF25DE2C)
ic(p4, -1.6533902205465251539E-6, -20, -1.BBD41C5D26BF1)
ic(p5, 4.1381367970572384604E-8, -25, 1.6376972BEA4D0)
ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000)
ic(ln2lo, 1.9082149292705877000E-10,-33, 1.A39EF35793C76)
ic(lnhuge, 7.1602103751842355450E2, 9, 1.6602B15B7ECF2)
ic(lntiny,-7.5137154372698068983E2, 9, -1.77AF8EBEAE354)
ic(invln2, 1.4426950408889633870E0, 0, 1.71547652B82FE)
double exp(x)
double x;
{
double z,hi,lo,c;
int k;
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
if( x <= lnhuge ) {
if( x >= lntiny ) {
/* argument reduction : x --> x - k*ln2 */
k=invln2*x+copysign(0.5,x); /* k=NINT(x/ln2) */
/* express x-k*ln2 as hi-lo and let x=hi-lo rounded */
hi=x-k*ln2hi;
x=hi-(lo=k*ln2lo);
/* return 2^k*[1+x+x*c/(2+c)] */
z=x*x;
c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
return scalb(1.0+(hi-(lo-(x*c)/(2.0-c))),k);
}
/* end of x > lntiny */
else
/* exp(-big#) underflows to zero */
if(finite(x)) return(scalb(1.0,-5000));
/* exp(-INF) is zero */
else return(0.0);
}
/* end of x < lnhuge */
else
/* exp(INF) is INF, exp(+big#) overflows to INF */
return( finite(x) ? scalb(1.0,5000) : x);
}
/* returns exp(r = x + c) for |c| < |x| with no overlap. */
double __exp__D(x, c)
double x, c;
{
double z,hi,lo, t;
int k;
#if !defined(vax)&&!defined(tahoe)
if (x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
if ( x <= lnhuge ) {
if ( x >= lntiny ) {
/* argument reduction : x --> x - k*ln2 */
z = invln2*x;
k = z + copysign(.5, x);
/* express (x+c)-k*ln2 as hi-lo and let x=hi-lo rounded */
hi=(x-k*ln2hi); /* Exact. */
x= hi - (lo = k*ln2lo-c);
/* return 2^k*[1+x+x*c/(2+c)] */
z=x*x;
c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
c = (x*c)/(2.0-c);
return scalb(1.+(hi-(lo - c)), k);
}
/* end of x > lntiny */
else
/* exp(-big#) underflows to zero */
if(finite(x)) return(scalb(1.0,-5000));
/* exp(-INF) is zero */
else return(0.0);
}
/* end of x < lnhuge */
else
/* exp(INF) is INF, exp(+big#) overflows to INF */
return( finite(x) ? scalb(1.0,5000) : x);
}

170
sysdeps/generic/expm1.c
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/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)expm1.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* EXPM1(X)
* RETURN THE EXPONENTIAL OF X MINUS ONE
* DOUBLE PRECISION (IEEE 53 BITS, VAX D FORMAT 56 BITS)
* CODED IN C BY K.C. NG, 1/19/85;
* REVISED BY K.C. NG on 2/6/85, 3/7/85, 3/21/85, 4/16/85.
*
* Required system supported functions:
* scalb(x,n)
* copysign(x,y)
* finite(x)
*
* Kernel function:
* exp__E(x,c)
*
* Method:
* 1. Argument Reduction: given the input x, find r and integer k such
* that
* x = k*ln2 + r, |r| <= 0.5*ln2 .
* r will be represented as r := z+c for better accuracy.
*
* 2. Compute EXPM1(r)=exp(r)-1 by
*
* EXPM1(r=z+c) := z + exp__E(z,c)
*
* 3. EXPM1(x) = 2^k * ( EXPM1(r) + 1-2^-k ).
*
* Remarks:
* 1. When k=1 and z < -0.25, we use the following formula for
* better accuracy:
* EXPM1(x) = 2 * ( (z+0.5) + exp__E(z,c) )
* 2. To avoid rounding error in 1-2^-k where k is large, we use
* EXPM1(x) = 2^k * { [z+(exp__E(z,c)-2^-k )] + 1 }
* when k>56.
*
* Special cases:
* EXPM1(INF) is INF, EXPM1(NaN) is NaN;
* EXPM1(-INF)= -1;
* for finite argument, only EXPM1(0)=0 is exact.
*
* Accuracy:
* EXPM1(x) returns the exact (exp(x)-1) nearly rounded. In a test run with
* 1,166,000 random arguments on a VAX, the maximum observed error was
* .872 ulps (units of the last place).
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000)
vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
vc(lnhuge, 9.4961163736712506989E1 ,ec1d,43bd,9010,a73e, 7, .BDEC1DA73E9010)
vc(invln2, 1.4426950408889634148E0 ,aa3b,40b8,17f1,295c, 1, .B8AA3B295C17F1)
ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000)
ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76)
ic(lnhuge, 7.1602103751842355450E2, 9, 1.6602B15B7ECF2)
ic(invln2, 1.4426950408889633870E0, 0, 1.71547652B82FE)
#ifdef vccast
#define ln2hi vccast(ln2hi)
#define ln2lo vccast(ln2lo)
#define lnhuge vccast(lnhuge)
#define invln2 vccast(invln2)
#endif
double expm1(x)
double x;
{
const static double one=1.0, half=1.0/2.0;
double z,hi,lo,c;
int k;
#if defined(vax)||defined(tahoe)
static prec=56;
#else /* defined(vax)||defined(tahoe) */
static prec=53;
#endif /* defined(vax)||defined(tahoe) */
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
if( x <= lnhuge ) {
if( x >= -40.0 ) {
/* argument reduction : x - k*ln2 */
k= invln2 *x+copysign(0.5,x); /* k=NINT(x/ln2) */
hi=x-k*ln2hi ;
z=hi-(lo=k*ln2lo);
c=(hi-z)-lo;
if(k==0) return(z+__exp__E(z,c));
if(k==1)
if(z< -0.25)
{x=z+half;x +=__exp__E(z,c); return(x+x);}
else
{z+=__exp__E(z,c); x=half+z; return(x+x);}
/* end of k=1 */
else {
if(k<=prec)
{ x=one-scalb(one,-k); z += __exp__E(z,c);}
else if(k<100)
{ x = __exp__E(z,c)-scalb(one,-k); x+=z; z=one;}
else
{ x = __exp__E(z,c)+z; z=one;}
return (scalb(x+z,k));
}
}
/* end of x > lnunfl */
else
/* expm1(-big#) rounded to -1 (inexact) */
if(finite(x))
{ ln2hi+ln2lo; return(-one);}
/* expm1(-INF) is -1 */
else return(-one);
}
/* end of x < lnhuge */
else
/* expm1(INF) is INF, expm1(+big#) overflows to INF */
return( finite(x) ? scalb(one,5000) : x);
}
#undef expm1
weak_alias (__expm1, expm1)

27
sysdeps/generic/fabs.c
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@ -1,27 +0,0 @@
/* Copyright (C) 1991 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
/* Return the absolute value of X. */
double
DEFUN(fabs, (x), register double x)
{
return x < 0.0 ? -x : x;
}

74
sysdeps/generic/floor.c
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@ -1,74 +0,0 @@
/* snarfed from BSD common_source/floor.c:
* Copyright (c) 1985 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)floor.c 5.7 (Berkeley) 10/9/90";
#endif /* not lint */
#include "mathimpl.h"
vc(L, 4503599627370496.0E0 ,0000,5c00,0000,0000, 55, 1.0) /* 2**55 */
ic(L, 4503599627370496.0E0, 52, 1.0) /* 2**52 */
#ifdef vccast
#define L vccast(L)
#endif
/*
* floor(x) := the largest integer no larger than x;
* ceil(x) := -floor(-x), for all real x.
*
* Note: Inexact will be signaled if x is not an integer, as is
* customary for IEEE 754. No other signal can be emitted.
*/
double
floor(x)
double x;
{
double y;
if (
#if !defined(vax)&&!defined(tahoe)
x != x || /* NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
x >= L) /* already an even integer */
return x;
else if (x < (double)0)
return -ceil(-x);
else { /* now 0 <= x < L */
y = L+x; /* destructive store must be forced */
y -= L; /* an integer, and |x-y| < 1 */
return x < y ? y-(double)1 : y;
}
}

155
sysdeps/generic/fmod.c
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/*
* Copyright (c) 1989, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* fmod.c
*
* SYNOPSIS
*
* #include <math.h>
* double fmod(double x, double y)
*
* DESCRIPTION
*
* The fmod function computes the floating-point remainder of x/y.
*
* RETURNS
*
* The fmod function returns the value x-i*y, for some integer i
* such that, if y is nonzero, the result has the same sign as x and
* magnitude less than the magnitude of y.
*
* On a VAX or CCI,
*
* fmod(x,0) traps/faults on floating-point divided-by-zero.
*
* On IEEE-754 conforming machines with "isnan()" primitive,
*
* fmod(x,0), fmod(INF,y) are invalid operations and NaN is returned.
*
*/
#if !defined(vax) && !defined(tahoe)
extern int isnan(),finite();
#endif /* !defined(vax) && !defined(tahoe) */
extern double frexp(),ldexp(),fabs();
#ifdef TEST_FMOD
static double
_fmod(x,y)
#else /* TEST_FMOD */
double
fmod(x,y)
#endif /* TEST_FMOD */
double x,y;
{
int ir,iy;
double r,w;
if (y == (double)0
#if !defined(vax) && !defined(tahoe) /* per "fmod" manual entry, SunOS 4.0 */
|| isnan(y) || !finite(x)
#endif /* !defined(vax) && !defined(tahoe) */
)
return (x*y)/(x*y);
r = fabs(x);
y = fabs(y);
(void)frexp(y,&iy);
while (r >= y) {
(void)frexp(r,&ir);
w = ldexp(y,ir-iy);
r -= w <= r ? w : w*(double)0.5;
}
return x >= (double)0 ? r : -r;
}
#ifdef TEST_FMOD
extern long random();
extern double fmod();
#define NTEST 10000
#define NCASES 3
static int nfail = 0;
static void
doit(x,y)
double x,y;
{
double ro = fmod(x,y),rn = _fmod(x,y);
if (ro != rn) {
(void)printf(" x = 0x%08.8x %08.8x (%24.16e)\n",x,x);
(void)printf(" y = 0x%08.8x %08.8x (%24.16e)\n",y,y);
(void)printf(" fmod = 0x%08.8x %08.8x (%24.16e)\n",ro,ro);
(void)printf("_fmod = 0x%08.8x %08.8x (%24.16e)\n",rn,rn);
(void)printf("\n");
}
}
main()
{
register int i,cases;
double x,y;
srandom(12345);
for (i = 0; i < NTEST; i++) {
x = (double)random();
y = (double)random();
for (cases = 0; cases < NCASES; cases++) {
switch (cases) {
case 0:
break;
case 1:
y = (double)1/y; break;
case 2:
x = (double)1/x; break;
default:
abort(); break;
}
doit(x,y);
doit(x,-y);
doit(-x,y);
doit(-x,-y);
}
}
if (nfail)
(void)printf("Number of failures: %d (out of a total of %d)\n",
nfail,NTEST*NCASES*4);
else
(void)printf("No discrepancies were found\n");
exit(0);
}
#endif /* TEST_FMOD */

53
sysdeps/generic/frexp.c
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@ -1,53 +0,0 @@
/* Copyright (C) 1991, 1992 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Break VALUE into a normalized fraction and an integral power of 2. */
double
DEFUN(frexp, (value, exp), double value AND int *exp)
{
#ifdef NAN
if (__isinf (value))
{
errno = EDOM;
*exp = 0;
return __copysign (NAN, value);
}
#endif
if (__isnan (value))
{
errno = EDOM;
*exp = 0;
return value;
}
if (value == 0)
{
*exp = 0;
return value;
}
/* Add one to the exponent of the number,
so we have one digit before the binary point. */
*exp = (int) __logb (value) + 1;
return ldexp (value, - *exp);
}

27
sysdeps/generic/hypot.c
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@ -1,27 +0,0 @@
/* Copyright (C) 1991, 1994 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
/* Return `sqrt(x*x + y*y)'. */
double
DEFUN(hypot, (x, y), double x AND double y)
{
return sqrt(x*x + y*y);
}

48
sysdeps/generic/infnan.c
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@ -1,48 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Deal with an infinite or NaN result.
If ERROR is ERANGE, result is +Inf;
if ERROR is - ERANGE, result is -Inf;
otherwise result is NaN.
This will set `errno' to either ERANGE or EDOM,
and may return an infinity or NaN, or may do something else. */
double
DEFUN(__infnan, (error), int error)
{
switch (error)
{
case ERANGE:
errno = ERANGE;
return HUGE_VAL;
case - ERANGE:
errno = ERANGE;
return - HUGE_VAL;
default:
errno = EDOM;
return 0.0;
}
}
weak_alias (__infnan, infnan)

29
sysdeps/generic/isnan.c
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@ -1,29 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
/* Return nonzero if VALUE is not a number. */
int
DEFUN(__isnan, (value), double value)
{
return value != value;
}
weak_alias (__isnan, isnan)

27
sysdeps/generic/ldexp.c
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@ -1,27 +0,0 @@
/* Copyright (C) 1991 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
/* Return X times (two to the EXP power). */
double
DEFUN(ldexp, (x, exp), register double x AND register int exp)
{
return x * pow(2.0, (double) exp);
}

486
sysdeps/generic/log.c
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@ -1,486 +0,0 @@
/*
* Copyright (c) 1992, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)log.c 8.2 (Berkeley) 11/30/93";
#endif /* not lint */
#include <math.h>
#include <errno.h>
#include "mathimpl.h"
/* Table-driven natural logarithm.
*
* This code was derived, with minor modifications, from:
* Peter Tang, "Table-Driven Implementation of the
* Logarithm in IEEE Floating-Point arithmetic." ACM Trans.
* Math Software, vol 16. no 4, pp 378-400, Dec 1990).
*
* Calculates log(2^m*F*(1+f/F)), |f/j| <= 1/256,
* where F = j/128 for j an integer in [0, 128].
*
* log(2^m) = log2_hi*m + log2_tail*m
* since m is an integer, the dominant term is exact.
* m has at most 10 digits (for subnormal numbers),
* and log2_hi has 11 trailing zero bits.
*
* log(F) = logF_hi[j] + logF_lo[j] is in tabular form in log_table.h
* logF_hi[] + 512 is exact.
*
* log(1+f/F) = 2*f/(2*F + f) + 1/12 * (2*f/(2*F + f))**3 + ...
* the leading term is calculated to extra precision in two
* parts, the larger of which adds exactly to the dominant
* m and F terms.
* There are two cases:
* 1. when m, j are non-zero (m | j), use absolute
* precision for the leading term.
* 2. when m = j = 0, |1-x| < 1/256, and log(x) ~= (x-1).
* In this case, use a relative precision of 24 bits.
* (This is done differently in the original paper)
*
* Special cases:
* 0 return signalling -Inf
* neg return signalling NaN
* +Inf return +Inf
*/
#if defined(vax) || defined(tahoe)
#define _IEEE 0
#define TRUNC(x) x = (double) (float) (x)
#else
#define _IEEE 1
#define endian (((*(int *) &one)) ? 1 : 0)
#define TRUNC(x) *(((int *) &x) + endian) &= 0xf8000000
#define infnan(x) 0.0
#endif
#define N 128
/* Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128.
* Used for generation of extend precision logarithms.
* The constant 35184372088832 is 2^45, so the divide is exact.
* It ensures correct reading of logF_head, even for inaccurate
* decimal-to-binary conversion routines. (Everybody gets the
* right answer for integers less than 2^53.)
* Values for log(F) were generated using error < 10^-57 absolute
* with the bc -l package.
*/
static double A1 = .08333333333333178827;
static double A2 = .01250000000377174923;
static double A3 = .002232139987919447809;
static double A4 = .0004348877777076145742;
static double logF_head[N+1] = {
0.,
.007782140442060381246,
.015504186535963526694,
.023167059281547608406,
.030771658666765233647,
.038318864302141264488,
.045809536031242714670,
.053244514518837604555,
.060624621816486978786,
.067950661908525944454,
.075223421237524235039,
.082443669210988446138,
.089612158689760690322,
.096729626458454731618,
.103796793681567578460,
.110814366340264314203,
.117783035656430001836,
.124703478501032805070,
.131576357788617315236,
.138402322859292326029,
.145182009844575077295,
.151916042025732167530,
.158605030176659056451,
.165249572895390883786,
.171850256926518341060,
.178407657472689606947,
.184922338493834104156,
.191394852999565046047,
.197825743329758552135,
.204215541428766300668,
.210564769107350002741,
.216873938300523150246,
.223143551314024080056,
.229374101064877322642,
.235566071312860003672,
.241719936886966024758,
.247836163904594286577,
.253915209980732470285,
.259957524436686071567,
.265963548496984003577,
.271933715484010463114,
.277868451003087102435,
.283768173130738432519,
.289633292582948342896,
.295464212893421063199,
.301261330578199704177,
.307025035294827830512,
.312755710004239517729,
.318453731118097493890,
.324119468654316733591,
.329753286372579168528,
.335355541920762334484,
.340926586970454081892,
.346466767346100823488,
.351976423156884266063,
.357455888922231679316,
.362905493689140712376,
.368325561158599157352,
.373716409793814818840,
.379078352934811846353,
.384411698910298582632,
.389716751140440464951,
.394993808240542421117,
.400243164127459749579,
.405465108107819105498,
.410659924985338875558,
.415827895143593195825,
.420969294644237379543,
.426084395310681429691,
.431173464818130014464,
.436236766774527495726,
.441274560805140936281,
.446287102628048160113,
.451274644139630254358,
.456237433481874177232,
.461175715122408291790,
.466089729924533457960,
.470979715219073113985,
.475845904869856894947,
.480688529345570714212,
.485507815781602403149,
.490303988045525329653,
.495077266798034543171,
.499827869556611403822,
.504556010751912253908,
.509261901790523552335,
.513945751101346104405,
.518607764208354637958,
.523248143765158602036,
.527867089620485785417,
.532464798869114019908,
.537041465897345915436,
.541597282432121573947,
.546132437597407260909,
.550647117952394182793,
.555141507540611200965,
.559615787935399566777,
.564070138285387656651,
.568504735352689749561,
.572919753562018740922,
.577315365035246941260,
.581691739635061821900,
.586049045003164792433,
.590387446602107957005,
.594707107746216934174,
.599008189645246602594,
.603290851438941899687,
.607555250224322662688,
.611801541106615331955,
.616029877215623855590,
.620240409751204424537,
.624433288012369303032,
.628608659422752680256,
.632766669570628437213,
.636907462236194987781,
.641031179420679109171,
.645137961373620782978,
.649227946625615004450,
.653301272011958644725,
.657358072709030238911,
.661398482245203922502,
.665422632544505177065,
.669430653942981734871,
.673422675212350441142,
.677398823590920073911,
.681359224807238206267,
.685304003098281100392,
.689233281238557538017,
.693147180560117703862
};
static double logF_tail[N+1] = {
0.,
-.00000000000000543229938420049,
.00000000000000172745674997061,
-.00000000000001323017818229233,
-.00000000000001154527628289872,
-.00000000000000466529469958300,
.00000000000005148849572685810,
-.00000000000002532168943117445,
-.00000000000005213620639136504,
-.00000000000001819506003016881,
.00000000000006329065958724544,
.00000000000008614512936087814,
-.00000000000007355770219435028,
.00000000000009638067658552277,
.00000000000007598636597194141,
.00000000000002579999128306990,
-.00000000000004654729747598444,
-.00000000000007556920687451336,
.00000000000010195735223708472,
-.00000000000017319034406422306,
-.00000000000007718001336828098,
.00000000000010980754099855238,
-.00000000000002047235780046195,
-.00000000000008372091099235912,
.00000000000014088127937111135,
.00000000000012869017157588257,
.00000000000017788850778198106,
.00000000000006440856150696891,
.00000000000016132822667240822,
-.00000000000007540916511956188,
-.00000000000000036507188831790,
.00000000000009120937249914984,
.00000000000018567570959796010,
-.00000000000003149265065191483,
-.00000000000009309459495196889,
.00000000000017914338601329117,
-.00000000000001302979717330866,
.00000000000023097385217586939,
.00000000000023999540484211737,
.00000000000015393776174455408,
-.00000000000036870428315837678,
.00000000000036920375082080089,
-.00000000000009383417223663699,
.00000000000009433398189512690,
.00000000000041481318704258568,
-.00000000000003792316480209314,
.00000000000008403156304792424,
-.00000000000034262934348285429,
.00000000000043712191957429145,
-.00000000000010475750058776541,
-.00000000000011118671389559323,
.00000000000037549577257259853,
.00000000000013912841212197565,
.00000000000010775743037572640,
.00000000000029391859187648000,
-.00000000000042790509060060774,
.00000000000022774076114039555,
.00000000000010849569622967912,
-.00000000000023073801945705758,
.00000000000015761203773969435,
.00000000000003345710269544082,
-.00000000000041525158063436123,
.00000000000032655698896907146,
-.00000000000044704265010452446,
.00000000000034527647952039772,
-.00000000000007048962392109746,
.00000000000011776978751369214,
-.00000000000010774341461609578,
.00000000000021863343293215910,
.00000000000024132639491333131,
.00000000000039057462209830700,
-.00000000000026570679203560751,
.00000000000037135141919592021,
-.00000000000017166921336082431,
-.00000000000028658285157914353,
-.00000000000023812542263446809,
.00000000000006576659768580062,
-.00000000000028210143846181267,
.00000000000010701931762114254,
.00000000000018119346366441110,
.00000000000009840465278232627,
-.00000000000033149150282752542,
-.00000000000018302857356041668,
-.00000000000016207400156744949,
.00000000000048303314949553201,
-.00000000000071560553172382115,
.00000000000088821239518571855,
-.00000000000030900580513238244,
-.00000000000061076551972851496,
.00000000000035659969663347830,
.00000000000035782396591276383,
-.00000000000046226087001544578,
.00000000000062279762917225156,
.00000000000072838947272065741,
.00000000000026809646615211673,
-.00000000000010960825046059278,
.00000000000002311949383800537,
-.00000000000058469058005299247,
-.00000000000002103748251144494,
-.00000000000023323182945587408,
-.00000000000042333694288141916,
-.00000000000043933937969737844,
.00000000000041341647073835565,
.00000000000006841763641591466,
.00000000000047585534004430641,
.00000000000083679678674757695,
-.00000000000085763734646658640,
.00000000000021913281229340092,
-.00000000000062242842536431148,
-.00000000000010983594325438430,
.00000000000065310431377633651,
-.00000000000047580199021710769,
-.00000000000037854251265457040,
.00000000000040939233218678664,
.00000000000087424383914858291,
.00000000000025218188456842882,
-.00000000000003608131360422557,
-.00000000000050518555924280902,
.00000000000078699403323355317,
-.00000000000067020876961949060,
.00000000000016108575753932458,
.00000000000058527188436251509,
-.00000000000035246757297904791,
-.00000000000018372084495629058,
.00000000000088606689813494916,
.00000000000066486268071468700,
.00000000000063831615170646519,
.00000000000025144230728376072,
-.00000000000017239444525614834
};
double
#ifdef _ANSI_SOURCE
log(double x)
#else
log(x) double x;
#endif
{
int m, j;
double F, f, g, q, u, u2, v, zero = 0.0, one = 1.0;
volatile double u1;
/* Catch special cases */
if (x <= 0)
if (_IEEE && x == zero) /* log(0) = -Inf */
return (-one/zero);
else if (_IEEE) /* log(neg) = NaN */
return (zero/zero);
else if (x == zero) /* NOT REACHED IF _IEEE */
return (infnan(-ERANGE));
else
return (infnan(EDOM));
else if (!finite(x))
if (_IEEE) /* x = NaN, Inf */
return (x+x);
else
return (infnan(ERANGE));
/* Argument reduction: 1 <= g < 2; x/2^m = g; */
/* y = F*(1 + f/F) for |f| <= 2^-8 */
m = logb(x);
g = ldexp(x, -m);
if (_IEEE && m == -1022) {
j = logb(g), m += j;
g = ldexp(g, -j);
}
j = N*(g-1) + .5;
F = (1.0/N) * j + 1; /* F*128 is an integer in [128, 512] */
f = g - F;
/* Approximate expansion for log(1+f/F) ~= u + q */
g = 1/(2*F+f);
u = 2*f*g;
v = u*u;
q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
/* case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8,
* u1 has at most 35 bits, and F*u1 is exact, as F has < 8 bits.
* It also adds exactly to |m*log2_hi + log_F_head[j] | < 750
*/
if (m | j)
u1 = u + 513, u1 -= 513;
/* case 2: |1-x| < 1/256. The m- and j- dependent terms are zero;
* u1 = u to 24 bits.
*/
else
u1 = u, TRUNC(u1);
u2 = (2.0*(f - F*u1) - u1*f) * g;
/* u1 + u2 = 2f/(2F+f) to extra precision. */
/* log(x) = log(2^m*F*(1+f/F)) = */
/* (m*log2_hi+logF_head[j]+u1) + (m*log2_lo+logF_tail[j]+q); */
/* (exact) + (tiny) */
u1 += m*logF_head[N] + logF_head[j]; /* exact */
u2 = (u2 + logF_tail[j]) + q; /* tiny */
u2 += logF_tail[N]*m;
return (u1 + u2);
}
/*
* Extra precision variant, returning struct {double a, b;};
* log(x) = a+b to 63 bits, with a is rounded to 26 bits.
*/
struct Double
#ifdef _ANSI_SOURCE
__log__D(double x)
#else
__log__D(x) double x;
#endif
{
int m, j;
double F, f, g, q, u, v, u2, one = 1.0;
volatile double u1;
struct Double r;
/* Argument reduction: 1 <= g < 2; x/2^m = g; */
/* y = F*(1 + f/F) for |f| <= 2^-8 */
m = logb(x);
g = ldexp(x, -m);
if (_IEEE && m == -1022) {
j = logb(g), m += j;
g = ldexp(g, -j);
}
j = N*(g-1) + .5;
F = (1.0/N) * j + 1;
f = g - F;
g = 1/(2*F+f);
u = 2*f*g;
v = u*u;
q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
if (m | j)
u1 = u + 513, u1 -= 513;
else
u1 = u, TRUNC(u1);
u2 = (2.0*(f - F*u1) - u1*f) * g;
u1 += m*logF_head[N] + logF_head[j];
u2 += logF_tail[j]; u2 += q;
u2 += logF_tail[N]*m;
r.a = u1 + u2; /* Only difference is here */
TRUNC(r.a);
r.b = (u1 - r.a) + u2;
return (r);
}

37
sysdeps/generic/log10.c
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@ -1,37 +0,0 @@
/* Copyright (C) 1991 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
#ifndef LN10
#define LN10 log(10.0)
#endif
/* Return the base-ten logarithm of X. */
double
DEFUN(log10, (x), double x)
{
static double ln10 = 0.0;
if (ln10 == 0.0)
ln10 = LN10;
return log(x) / ln10;
}

170
sysdeps/generic/log1p.c
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/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)log1p.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* LOG1P(x)
* RETURN THE LOGARITHM OF 1+x
* DOUBLE PRECISION (VAX D FORMAT 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 1/19/85;
* REVISED BY K.C. NG on 2/6/85, 3/7/85, 3/24/85, 4/16/85.
*
* Required system supported functions:
* scalb(x,n)
* copysign(x,y)
* logb(x)
* finite(x)
*
* Required kernel function:
* log__L(z)
*
* Method :
* 1. Argument Reduction: find k and f such that
* 1+x = 2^k * (1+f),
* where sqrt(2)/2 < 1+f < sqrt(2) .
*
* 2. Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
* = 2s + 2/3 s**3 + 2/5 s**5 + .....,
* log(1+f) is computed by
*
* log(1+f) = 2s + s*log__L(s*s)
* where
* log__L(z) = z*(L1 + z*(L2 + z*(... (L6 + z*L7)...)))
*
* See log__L() for the values of the coefficients.
*
* 3. Finally, log(1+x) = k*ln2 + log(1+f).
*
* Remarks 1. In step 3 n*ln2 will be stored in two floating point numbers
* n*ln2hi + n*ln2lo, where ln2hi is chosen such that the last
* 20 bits (for VAX D format), or the last 21 bits ( for IEEE
* double) is 0. This ensures n*ln2hi is exactly representable.
* 2. In step 1, f may not be representable. A correction term c
* for f is computed. It follows that the correction term for
* f - t (the leading term of log(1+f) in step 2) is c-c*x. We
* add this correction term to n*ln2lo to attenuate the error.
*
*
* Special cases:
* log1p(x) is NaN with signal if x < -1; log1p(NaN) is NaN with no signal;
* log1p(INF) is +INF; log1p(-1) is -INF with signal;
* only log1p(0)=0 is exact for finite argument.
*
* Accuracy:
* log1p(x) returns the exact log(1+x) nearly rounded. In a test run
* with 1,536,000 random arguments on a VAX, the maximum observed
* error was .846 ulps (units in the last place).
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include <errno.h>
#include "mathimpl.h"
vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000)
vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65)
ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000)
ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76)
ic(sqrt2, 1.4142135623730951455E0, 0, 1.6A09E667F3BCD)
#ifdef vccast
#define ln2hi vccast(ln2hi)
#define ln2lo vccast(ln2lo)
#define sqrt2 vccast(sqrt2)
#endif
double log1p(x)
double x;
{
const static double zero=0.0, negone= -1.0, one=1.0,
half=1.0/2.0, small=1.0E-20; /* 1+small == 1 */
double z,s,t,c;
int k;
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
if(finite(x)) {
if( x > negone ) {
/* argument reduction */
if(copysign(x,one)<small) return(x);
k=logb(one+x); z=scalb(x,-k); t=scalb(one,-k);
if(z+t >= sqrt2 )
{ k += 1 ; z *= half; t *= half; }
t += negone; x = z + t;
c = (t-x)+z ; /* correction term for x */
/* compute log(1+x) */
s = x/(2+x); t = x*x*half;
c += (k*ln2lo-c*x);
z = c+s*(t+__log__L(s*s));
x += (z - t) ;
return(k*ln2hi+x);
}
/* end of if (x > negone) */
else {
#if defined(vax)||defined(tahoe)
if ( x == negone )
return (infnan(-ERANGE)); /* -INF */
else
return (infnan(EDOM)); /* NaN */
#else /* defined(vax)||defined(tahoe) */
/* x = -1, return -INF with signal */
if ( x == negone ) return( negone/zero );
/* negative argument for log, return NaN with signal */
else return ( zero / zero );
#endif /* defined(vax)||defined(tahoe) */
}
}
/* end of if (finite(x)) */
/* log(-INF) is NaN */
else if(x<0)
return(zero/zero);
/* log(+INF) is INF */
else return(x);
}

31
sysdeps/generic/modf.c
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/* Copyright (C) 1991 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
#undef modf
/* Break VALUE into integral and fractional parts. */
double
DEFUN(modf, (value, iptr), double value AND double *iptr)
{
register double ipart = floor(value);
*iptr = ipart;
return value - ipart;
}

215
sysdeps/generic/pow.c
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@ -1,215 +0,0 @@
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)pow.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* POW(X,Y)
* RETURN X**Y
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 1/8/85;
* REVISED BY K.C. NG on 7/10/85.
* KERNEL pow_P() REPLACED BY P. McILROY 7/22/92.
* Required system supported functions:
* scalb(x,n)
* logb(x)
* copysign(x,y)
* finite(x)
* drem(x,y)
*
* Required kernel functions:
* exp__D(a,c) exp(a + c) for |a| << |c|
* struct d_double dlog(x) r.a + r.b, |r.b| < |r.a|
*
* Method
* 1. Compute and return log(x) in three pieces:
* log(x) = n*ln2 + hi + lo,
* where n is an integer.
* 2. Perform y*log(x) by simulating muti-precision arithmetic and
* return the answer in three pieces:
* y*log(x) = m*ln2 + hi + lo,
* where m is an integer.
* 3. Return x**y = exp(y*log(x))
* = 2^m * ( exp(hi+lo) ).
*
* Special cases:
* (anything) ** 0 is 1 ;
* (anything) ** 1 is itself;
* (anything) ** NaN is NaN;
* NaN ** (anything except 0) is NaN;
* +(anything > 1) ** +INF is +INF;
* -(anything > 1) ** +INF is NaN;
* +-(anything > 1) ** -INF is +0;
* +-(anything < 1) ** +INF is +0;
* +(anything < 1) ** -INF is +INF;
* -(anything < 1) ** -INF is NaN;
* +-1 ** +-INF is NaN and signal INVALID;
* +0 ** +(anything except 0, NaN) is +0;
* -0 ** +(anything except 0, NaN, odd integer) is +0;
* +0 ** -(anything except 0, NaN) is +INF and signal DIV-BY-ZERO;
* -0 ** -(anything except 0, NaN, odd integer) is +INF with signal;
* -0 ** (odd integer) = -( +0 ** (odd integer) );
* +INF ** +(anything except 0,NaN) is +INF;
* +INF ** -(anything except 0,NaN) is +0;
* -INF ** (odd integer) = -( +INF ** (odd integer) );
* -INF ** (even integer) = ( +INF ** (even integer) );
* -INF ** -(anything except integer,NaN) is NaN with signal;
* -(x=anything) ** (k=integer) is (-1)**k * (x ** k);
* -(anything except 0) ** (non-integer) is NaN with signal;
*
* Accuracy:
* pow(x,y) returns x**y nearly rounded. In particular, on a SUN, a VAX,
* and a Zilog Z8000,
* pow(integer,integer)
* always returns the correct integer provided it is representable.
* In a test run with 100,000 random arguments with 0 < x, y < 20.0
* on a VAX, the maximum observed error was 1.79 ulps (units in the
* last place).
*
* Constants :
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include <errno.h>
#include <math.h>
#include "mathimpl.h"
#if (defined(vax) || defined(tahoe))
#define TRUNC(x) x = (double) (float) x
#define _IEEE 0
#else
#define _IEEE 1
#define endian (((*(int *) &one)) ? 1 : 0)
#define TRUNC(x) *(((int *) &x)+endian) &= 0xf8000000
#define infnan(x) 0.0
#endif /* vax or tahoe */
const static double zero=0.0, one=1.0, two=2.0, negone= -1.0;
static double pow_P __P((double, double));
double pow(x,y)
double x,y;
{
double t;
if (y==zero)
return (one);
else if (y==one || (_IEEE && x != x))
return (x); /* if x is NaN or y=1 */
else if (_IEEE && y!=y) /* if y is NaN */
return (y);
else if (!finite(y)) /* if y is INF */
if ((t=fabs(x))==one) /* +-1 ** +-INF is NaN */
return (y - y);
else if (t>one)
return ((y<0)? zero : ((x<zero)? y-y : y));
else
return ((y>0)? zero : ((x<0)? y-y : -y));
else if (y==two)
return (x*x);
else if (y==negone)
return (one/x);
/* x > 0, x == +0 */
else if (copysign(one, x) == one)
return (pow_P(x, y));
/* sign(x)= -1 */
/* if y is an even integer */
else if ( (t=drem(y,two)) == zero)
return (pow_P(-x, y));
/* if y is an odd integer */
else if (copysign(t,one) == one)
return (-pow_P(-x, y));
/* Henceforth y is not an integer */
else if (x==zero) /* x is -0 */
return ((y>zero)? -x : one/(-x));
else if (_IEEE)
return (zero/zero);
else
return (infnan(EDOM));
}
/* kernel function for x >= 0 */
static double
#ifdef _ANSI_SOURCE
pow_P(double x, double y)
#else
pow_P(x, y) double x, y;
#endif
{
struct Double s, t, __log__D();
double __exp__D(), huge = 1e300, tiny = 1e-300;
if (x == zero)
if (y > zero)
return (zero);
else if (_IEEE)
return (huge*huge);
else
return (infnan(ERANGE));
if (x == one)
return (one);
if (!finite(x))
if (y < zero)
return (zero);
else if (_IEEE)
return (huge*huge);
else
return (infnan(ERANGE));
if (y >= 7e18) /* infinity */
if (x < 1)
return(tiny*tiny);
else if (_IEEE)
return (huge*huge);
else
return (infnan(ERANGE));
/* Return exp(y*log(x)), using simulated extended */
/* precision for the log and the multiply. */
s = __log__D(x);
t.a = y;
TRUNC(t.a);
t.b = y - t.a;
t.b = s.b*y + t.b*s.a;
t.a *= s.a;
s.a = t.a + t.b;
s.b = (t.a - s.a) + t.b;
return (__exp__D(s.a, s.b));
}

87
sysdeps/generic/rint.c
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/* snarfed from BSD common_source/floor.c:
* Copyright (c) 1985, 1995 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)floor.c 5.7 (Berkeley) 10/9/90";
#endif /* not lint */
#include "mathimpl.h"
vc(L, 4503599627370496.0E0 ,0000,5c00,0000,0000, 55, 1.0) /* 2**55 */
ic(L, 4503599627370496.0E0, 52, 1.0) /* 2**52 */
#ifdef vccast
#define L vccast(L)
#endif
/*
* algorithm for rint(x) in pseudo-pascal form ...
*
* real rint(x): real x;
* ... delivers integer nearest x in direction of prevailing rounding
* ... mode
* const L = (last consecutive integer)/2
* = 2**55; for VAX D
* = 2**52; for IEEE 754 Double
* real s,t;
* begin
* if x != x then return x; ... NaN
* if |x| >= L then return x; ... already an integer
* s := copysign(L,x);
* t := x + s; ... = (x+s) rounded to integer
* return t - s
* end;
*
* Note: Inexact will be signaled if x is not an integer, as is
* customary for IEEE 754. No other signal can be emitted.
*/
double
__rint(x)
double x;
{
double s,t;
const double one = 1.0;
#if !defined(vax)&&!defined(tahoe)
if (x != x) /* NaN */
return (x);
#endif /* !defined(vax)&&!defined(tahoe) */
if (copysign(x,one) >= L) /* already an integer */
return (x);
s = copysign(L,x);
t = x + s; /* x+s rounded to integer */
return (t - s);
}
weak_alias (__rint, rint)

121
sysdeps/generic/sinh.c
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/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)sinh.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* SINH(X)
* RETURN THE HYPERBOLIC SINE OF X
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 1/8/85;
* REVISED BY K.C. NG on 2/8/85, 3/7/85, 3/24/85, 4/16/85.
*
* Required system supported functions :
* copysign(x,y)
* scalb(x,N)
*
* Required kernel functions:
* expm1(x) ...return exp(x)-1
*
* Method :
* 1. reduce x to non-negative by sinh(-x) = - sinh(x).
* 2.
*
* expm1(x) + expm1(x)/(expm1(x)+1)
* 0 <= x <= lnovfl : sinh(x) := --------------------------------
* 2
* lnovfl <= x <= lnovfl+ln2 : sinh(x) := expm1(x)/2 (avoid overflow)
* lnovfl+ln2 < x < INF : overflow to INF
*
*
* Special cases:
* sinh(x) is x if x is +INF, -INF, or NaN.
* only sinh(0)=0 is exact for finite argument.
*
* Accuracy:
* sinh(x) returns the exact hyperbolic sine of x nearly rounded. In
* a test run with 1,024,000 random arguments on a VAX, the maximum
* observed error was 1.93 ulps (units in the last place).
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(mln2hi, 8.8029691931113054792E1 ,0f33,43b0,2bdb,c7e2, 7, .B00F33C7E22BDB)
vc(mln2lo,-4.9650192275318476525E-16 ,1b60,a70f,582a,279e, -50,-.8F1B60279E582A)
vc(lnovfl, 8.8029691931113053016E1 ,0f33,43b0,2bda,c7e2, 7, .B00F33C7E22BDA)
ic(mln2hi, 7.0978271289338397310E2, 10, 1.62E42FEFA39EF)
ic(mln2lo, 2.3747039373786107478E-14, -45, 1.ABC9E3B39803F)
ic(lnovfl, 7.0978271289338397310E2, 9, 1.62E42FEFA39EF)
#ifdef vccast
#define mln2hi vccast(mln2hi)
#define mln2lo vccast(mln2lo)
#define lnovfl vccast(lnovfl)
#endif
#if defined(vax)||defined(tahoe)
static max = 126 ;
#else /* defined(vax)||defined(tahoe) */
static max = 1023 ;
#endif /* defined(vax)||defined(tahoe) */
double sinh(x)
double x;
{
static const double one=1.0, half=1.0/2.0 ;
double t, sign;
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
sign=copysign(one,x);
x=copysign(x,one);
if(x<lnovfl)
{t=expm1(x); return(copysign((t+t/(one+t))*half,sign));}
else if(x <= lnovfl+0.7)
/* subtract x by ln(2^(max+1)) and return 2^max*exp(x)
to avoid unnecessary overflow */
return(copysign(scalb(one+expm1((x-mln2hi)-mln2lo),max),sign));
else /* sinh(+-INF) = +-INF, sinh(+-big no.) overflow to +-INF */
return( expm1(x)*sign );
}

74
sysdeps/generic/tan.c
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@ -1,74 +0,0 @@
/*
* Copyright (c) 1987, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)tan.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
#include "trig.h"
double
tan(x)
double x;
{
double a,z,ss,cc,c;
int k;
if(!finite(x)) /* tan(NaN) and tan(INF) must be NaN */
return x-x;
x = drem(x,PI); /* reduce x into [-PI/2, PI/2] */
a = copysign(x,one); /* ... = abs(x) */
if (a >= PIo4) {
k = 1;
x = copysign(PIo2-a,x);
}
else {
k = 0;
if (a < small) {
big+a;
return x;
}
}
z = x*x;
cc = cos__C(z);
ss = sin__S(z);
z *= half; /* Next get c = cos(x) accurately */
c = (z >= thresh ? half-((z-half)-cc) : one-(z-cc));
if (k == 0)
return x+(x*(z-(cc-ss)))/c; /* ... sin/cos */
#ifdef national
else if (x == zero)
return copysign(fmax,x); /* no inf on 32k */
#endif /* national */
else
return c/(x+x*ss); /* ... cos/sin */
}

99
sysdeps/generic/tanh.c
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@ -1,99 +0,0 @@
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)tanh.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* TANH(X)
* RETURN THE HYPERBOLIC TANGENT OF X
* DOUBLE PRECISION (VAX D FORMAT 56 BITS, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 1/8/85;
* REVISED BY K.C. NG on 2/8/85, 2/11/85, 3/7/85, 3/24/85.
*
* Required system supported functions :
* copysign(x,y)
* finite(x)
*
* Required kernel function:
* expm1(x) ...exp(x)-1
*
* Method :
* 1. reduce x to non-negative by tanh(-x) = - tanh(x).
* 2.
* 0 < x <= 1.e-10 : tanh(x) := x
* -expm1(-2x)
* 1.e-10 < x <= 1 : tanh(x) := --------------
* expm1(-2x) + 2
* 2
* 1 <= x <= 22.0 : tanh(x) := 1 - ---------------
* expm1(2x) + 2
* 22.0 < x <= INF : tanh(x) := 1.
*
* Note: 22 was chosen so that fl(1.0+2/(expm1(2*22)+2)) == 1.
*
* Special cases:
* tanh(NaN) is NaN;
* only tanh(0)=0 is exact for finite argument.
*
* Accuracy:
* tanh(x) returns the exact hyperbolic tangent of x nealy rounded.
* In a test run with 1,024,000 random arguments on a VAX, the maximum
* observed error was 2.22 ulps (units in the last place).
*/
double tanh(x)
double x;
{
static double one=1.0, two=2.0, small = 1.0e-10, big = 1.0e10;
double expm1(), t, copysign(), sign;
int finite();
#if !defined(vax)&&!defined(tahoe)
if(x!=x) return(x); /* x is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
sign=copysign(one,x);
x=copysign(x,one);
if(x < 22.0)
if( x > one )
return(copysign(one-two/(expm1(x+x)+two),sign));
else if ( x > small )
{t= -expm1(-(x+x)); return(copysign(t/(two-t),sign));}
else /* raise the INEXACT flag for non-zero x */
{big+x; return(copysign(x,sign));}
else if(finite(x))
return (sign+1.0E-37); /* raise the INEXACT flag */
else
return(sign); /* x is +- INF */
}

232
sysdeps/ieee754/cabs.c
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@ -1,232 +0,0 @@
/*
* Copyright (c) 1985 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)cabs.c 5.6 (Berkeley) 10/9/90";
#endif /* not lint */
/* HYPOT(X,Y)
* RETURN THE SQUARE ROOT OF X^2 + Y^2 WHERE Z=X+iY
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 11/28/84;
* REVISED BY K.C. NG, 7/12/85.
*
* Required system supported functions :
* copysign(x,y)
* finite(x)
* scalb(x,N)
* sqrt(x)
*
* Method :
* 1. replace x by |x| and y by |y|, and swap x and
* y if y > x (hence x is never smaller than y).
* 2. Hypot(x,y) is computed by:
* Case I, x/y > 2
*
* y
* hypot = x + -----------------------------
* 2
* sqrt ( 1 + [x/y] ) + x/y
*
* Case II, x/y <= 2
* y
* hypot = x + --------------------------------------------------
* 2
* [x/y] - 2
* (sqrt(2)+1) + (x-y)/y + -----------------------------
* 2
* sqrt ( 1 + [x/y] ) + sqrt(2)
*
*
*
* Special cases:
* hypot(x,y) is INF if x or y is +INF or -INF; else
* hypot(x,y) is NAN if x or y is NAN.
*
* Accuracy:
* hypot(x,y) returns the sqrt(x^2+y^2) with error less than 1 ulps (units
* in the last place). See Kahan's "Interval Arithmetic Options in the
* Proposed IEEE Floating Point Arithmetic Standard", Interval Mathematics
* 1980, Edited by Karl L.E. Nickel, pp 99-128. (A faster but less accurate
* code follows in comments.) In a test run with 500,000 random arguments
* on a VAX, the maximum observed error was .959 ulps.
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
#if 0 /* Moved to separate file. */
vc(r2p1hi, 2.4142135623730950345E0 ,8279,411a,ef32,99fc, 2, .9A827999FCEF32)
vc(r2p1lo, 1.4349369327986523769E-17 ,597d,2484,754b,89b3, -55, .84597D89B3754B)
vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65)
ic(r2p1hi, 2.4142135623730949234E0 , 1, 1.3504F333F9DE6)
ic(r2p1lo, 1.2537167179050217666E-16 , -53, 1.21165F626CDD5)
ic(sqrt2, 1.4142135623730951455E0 , 0, 1.6A09E667F3BCD)
#ifdef vccast
#define r2p1hi vccast(r2p1hi)
#define r2p1lo vccast(r2p1lo)
#define sqrt2 vccast(sqrt2)
#endif
double
hypot(x,y)
double x, y;
{
static const double zero=0, one=1,
small=1.0E-18; /* fl(1+small)==1 */
static const ibig=30; /* fl(1+2**(2*ibig))==1 */
double t,r;
int exp;
if(finite(x))
if(finite(y))
{
x=copysign(x,one);
y=copysign(y,one);
if(y > x)
{ t=x; x=y; y=t; }
if(x == zero) return(zero);
if(y == zero) return(x);
exp= logb(x);
if(exp-(int)logb(y) > ibig )
/* raise inexact flag and return |x| */
{ one+small; return(x); }
/* start computing sqrt(x^2 + y^2) */
r=x-y;
if(r>y) { /* x/y > 2 */
r=x/y;
r=r+sqrt(one+r*r); }
else { /* 1 <= x/y <= 2 */
r/=y; t=r*(r+2.0);
r+=t/(sqrt2+sqrt(2.0+t));
r+=r2p1lo; r+=r2p1hi; }
r=y/r;
return(x+r);
}
else if(y==y) /* y is +-INF */
return(copysign(y,one));
else
return(y); /* y is NaN and x is finite */
else if(x==x) /* x is +-INF */
return (copysign(x,one));
else if(finite(y))
return(x); /* x is NaN, y is finite */
#if !defined(vax)&&!defined(tahoe)
else if(y!=y) return(y); /* x and y is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
else return(copysign(y,one)); /* y is INF */
}
#endif /* 0 */
/* CABS(Z)
* RETURN THE ABSOLUTE VALUE OF THE COMPLEX NUMBER Z = X + iY
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 11/28/84.
* REVISED BY K.C. NG, 7/12/85.
*
* Required kernel function :
* hypot(x,y)
*
* Method :
* cabs(z) = hypot(x,y) .
*/
double
cabs(z)
struct __cabs_complex z;
{
return hypot(z.__x,z.__y);
}
double
z_abs(z)
struct __cabs_complex *z;
{
return hypot(z->__x,z->__y);
}
/* A faster but less accurate version of cabs(x,y) */
#if 0
double hypot(x,y)
double x, y;
{
static const double zero=0, one=1;
small=1.0E-18; /* fl(1+small)==1 */
static const ibig=30; /* fl(1+2**(2*ibig))==1 */
double temp;
int exp;
if(finite(x))
if(finite(y))
{
x=copysign(x,one);
y=copysign(y,one);
if(y > x)
{ temp=x; x=y; y=temp; }
if(x == zero) return(zero);
if(y == zero) return(x);
exp= logb(x);
x=scalb(x,-exp);
if(exp-(int)logb(y) > ibig )
/* raise inexact flag and return |x| */
{ one+small; return(scalb(x,exp)); }
else y=scalb(y,-exp);
return(scalb(sqrt(x*x+y*y),exp));
}
else if(y==y) /* y is +-INF */
return(copysign(y,one));
else
return(y); /* y is NaN and x is finite */
else if(x==x) /* x is +-INF */
return (copysign(x,one));
else if(finite(y))
return(x); /* x is NaN, y is finite */
else if(y!=y) return(y); /* x and y is NaN */
else return(copysign(y,one)); /* y is INF */
}
#endif

37
sysdeps/ieee754/copysign.c
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@ -1,37 +0,0 @@
/* Copyright (C) 1991, 1992, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
#include "ieee754.h"
/* Return X with its signed changed to Y's. */
double
DEFUN(__copysign, (x, y), double x AND double y)
{
union ieee754_double ux, uy;
ux.d = x;
uy.d = y;
ux.ieee.negative = uy.ieee.negative;
return ux.d;
}
weak_alias (__copysign, copysign)

42
sysdeps/ieee754/frexp.c
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@ -1,42 +0,0 @@
/* Copyright (C) 1993 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <math.h>
#include "ieee754.h"
/* Break VALUE into a normalized fraction and an integral power of 2. */
double
frexp (value, exp)
double value;
int *exp;
{
if (value == 0)
{
*exp = 0;
return 0;
}
else
{
union ieee754_double u;
u.d = value;
*exp = u.ieee.exponent - 1022;
u.ieee.exponent = 1022;
return u.d;
}
}

197
sysdeps/ieee754/hypot.c
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/*
* Copyright (c) 1985 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
/* HYPOT(X,Y)
* RETURN THE SQUARE ROOT OF X^2 + Y^2 WHERE Z=X+iY
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
* CODED IN C BY K.C. NG, 11/28/84;
* REVISED BY K.C. NG, 7/12/85.
*
* Required system supported functions :
* copysign(x,y)
* finite(x)
* scalb(x,N)
* sqrt(x)
*
* Method :
* 1. replace x by |x| and y by |y|, and swap x and
* y if y > x (hence x is never smaller than y).
* 2. Hypot(x,y) is computed by:
* Case I, x/y > 2
*
* y
* hypot = x + -----------------------------
* 2
* sqrt ( 1 + [x/y] ) + x/y
*
* Case II, x/y <= 2
* y
* hypot = x + --------------------------------------------------
* 2
* [x/y] - 2
* (sqrt(2)+1) + (x-y)/y + -----------------------------
* 2
* sqrt ( 1 + [x/y] ) + sqrt(2)
*
*
*
* Special cases:
* hypot(x,y) is INF if x or y is +INF or -INF; else
* hypot(x,y) is NAN if x or y is NAN.
*
* Accuracy:
* hypot(x,y) returns the sqrt(x^2+y^2) with error less than 1 ulps (units
* in the last place). See Kahan's "Interval Arithmetic Options in the
* Proposed IEEE Floating Point Arithmetic Standard", Interval Mathematics
* 1980, Edited by Karl L.E. Nickel, pp 99-128. (A faster but less accurate
* code follows in comments.) In a test run with 500,000 random arguments
* on a VAX, the maximum observed error was .959 ulps.
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
#include "mathimpl.h"
vc(r2p1hi, 2.4142135623730950345E0 ,8279,411a,ef32,99fc, 2, .9A827999FCEF32)
vc(r2p1lo, 1.4349369327986523769E-17 ,597d,2484,754b,89b3, -55, .84597D89B3754B)
vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65)
ic(r2p1hi, 2.4142135623730949234E0 , 1, 1.3504F333F9DE6)
ic(r2p1lo, 1.2537167179050217666E-16 , -53, 1.21165F626CDD5)
ic(sqrt2, 1.4142135623730951455E0 , 0, 1.6A09E667F3BCD)
#ifdef vccast
#define r2p1hi vccast(r2p1hi)
#define r2p1lo vccast(r2p1lo)
#define sqrt2 vccast(sqrt2)
#endif
double
hypot(x,y)
double x, y;
{
static const double zero=0, one=1,
small=1.0E-18; /* fl(1+small)==1 */
static const ibig=30; /* fl(1+2**(2*ibig))==1 */
double t,r;
int exp;
if(finite(x))
if(finite(y))
{
x=copysign(x,one);
y=copysign(y,one);
if(y > x)
{ t=x; x=y; y=t; }
if(x == zero) return(zero);
if(y == zero) return(x);
exp= logb(x);
if(exp-(int)logb(y) > ibig )
/* raise inexact flag and return |x| */
{ one+small; return(x); }
/* start computing sqrt(x^2 + y^2) */
r=x-y;
if(r>y) { /* x/y > 2 */
r=x/y;
r=r+sqrt(one+r*r); }
else { /* 1 <= x/y <= 2 */
r/=y; t=r*(r+2.0);
r+=t/(sqrt2+sqrt(2.0+t));
r+=r2p1lo; r+=r2p1hi; }
r=y/r;
return(x+r);
}
else if(y==y) /* y is +-INF */
return(copysign(y,one));
else
return(y); /* y is NaN and x is finite */
else if(x==x) /* x is +-INF */
return (copysign(x,one));
else if(finite(y))
return(x); /* x is NaN, y is finite */
#if !defined(vax)&&!defined(tahoe)
else if(y!=y) return(y); /* x and y is NaN */
#endif /* !defined(vax)&&!defined(tahoe) */
else return(copysign(y,one)); /* y is INF */
}
/* A faster but less accurate version of cabs(x,y) */
#if 0
double hypot(x,y)
double x, y;
{
static const double zero=0, one=1;
small=1.0E-18; /* fl(1+small)==1 */
static const ibig=30; /* fl(1+2**(2*ibig))==1 */
double temp;
int exp;
if(finite(x))
if(finite(y))
{
x=copysign(x,one);
y=copysign(y,one);
if(y > x)
{ temp=x; x=y; y=temp; }
if(x == zero) return(zero);
if(y == zero) return(x);
exp= logb(x);
x=scalb(x,-exp);
if(exp-(int)logb(y) > ibig )
/* raise inexact flag and return |x| */
{ one+small; return(scalb(x,exp)); }
else y=scalb(y,-exp);
return(scalb(sqrt(x*x+y*y),exp));
}
else if(y==y) /* y is +-INF */
return(copysign(y,one));
else
return(y); /* y is NaN and x is finite */
else if(x==x) /* x is +-INF */
return (copysign(x,one));
else if(finite(y))
return(x); /* x is NaN, y is finite */
else if(y!=y) return(y); /* x and y is NaN */
else return(copysign(y,one)); /* y is INF */
}
#endif

50
sysdeps/ieee754/infnan.c
View File

@ -1,50 +0,0 @@
/* Copyright (C) 1991, 1992, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
#include <float.h>
#include "ieee754.h"
/* Deal with an infinite or NaN result.
If ERROR is ERANGE, result is +Inf;
if ERROR is - ERANGE, result is -Inf;
otherwise result is NaN.
This will set `errno' to either ERANGE or EDOM,
and may return an infinity or NaN, or may do something else. */
double
DEFUN(__infnan, (error), int error)
{
switch (error)
{
case ERANGE:
errno = ERANGE;
return HUGE_VAL;
case - ERANGE:
errno = ERANGE;
return - HUGE_VAL;
default:
errno = EDOM;
return NAN;
}
}
weak_alias (__infnan, infnan)

146
sysdeps/ieee754/ldexp.c
View File

@ -1,146 +0,0 @@
/* Copyright (C) 1992, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
/*
* Copyright (c) 1985 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms are permitted provided
* that: (1) source distributions retain this entire copyright notice and
* comment, and (2) distributions including binaries display the following
* acknowledgement: ``This product includes software developed by the
* University of California, Berkeley and its contributors'' in the
* documentation or other materials provided with the distribution and in
* all advertising materials mentioning features or use of this software.
* Neither the name of the University nor the names of its contributors may
* be used to endorse or promote products derived from this software without
* specific prior written permission.
* THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR IMPLIED
* WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
*/
#include <ansidecl.h>
#include <math.h>
#include <float.h>
#include <errno.h>
#include "ieee754.h"
double
DEFUN(ldexp, (x, exp),
double x AND int exp)
{
union ieee754_double u;
unsigned int exponent;
u.d = x;
#define x u.d
exponent = u.ieee.exponent;
/* The order of the tests is carefully chosen to handle
the usual case first, with no branches taken. */
if (exponent != 0)
{
/* X is nonzero and not denormalized. */
if (exponent <= DBL_MAX_EXP - DBL_MIN_EXP + 1)
{
/* X is finite. When EXP < 0, overflow is actually underflow. */
exponent += exp;
if (exponent != 0)
{
if (exponent <= DBL_MAX_EXP - DBL_MIN_EXP + 1)
{
/* In range. */
u.ieee.exponent = exponent;
return x;
}
if (exp >= 0)
overflow:
{
CONST int negative = u.ieee.negative;
u.d = HUGE_VAL;
u.ieee.negative = negative;
errno = ERANGE;
return u.d;
}
if (exponent <= - (unsigned int) (DBL_MANT_DIG + 1))
{
/* Underflow. */
CONST int negative = u.ieee.negative;
u.d = 0.0;
u.ieee.negative = negative;
errno = ERANGE;
return u.d;
}
}
/* Gradual underflow. */
u.ieee.exponent = 1;
u.d *= ldexp (1.0, (int) exponent - 1);
if (u.ieee.mantissa0 == 0 && u.ieee.mantissa1 == 0)
/* Underflow. */
errno = ERANGE;
return u.d;
}
/* X is +-infinity or NaN. */
if (u.ieee.mantissa0 == 0 && u.ieee.mantissa1 == 0)
{
/* X is +-infinity. */
if (exp >= 0)
goto overflow;
else
{
/* (infinity * number < 1). With infinite precision,
(infinity / finite) would be infinity, but otherwise it's
safest to regard (infinity / 2) as indeterminate. The
infinity might be (2 * finite). */
CONST int negative = u.ieee.negative;
u.d = NAN;
u.ieee.negative = negative;
errno = EDOM;
return u.d;
}
}
/* X is NaN. */
errno = EDOM;
return u.d;
}
/* X is zero or denormalized. */
if (u.ieee.mantissa0 == 0 && u.ieee.mantissa1 == 0)
/* X is +-0.0. */
return x;
/* X is denormalized.
Multiplying by 2 ** DBL_MANT_DIG normalizes it;
we then subtract the DBL_MANT_DIG we added to the exponent. */
return ldexp (x * ldexp (1.0, DBL_MANT_DIG), exp - DBL_MANT_DIG);
}
/* Compatibility names for the same function. */
weak_alias (ldexp, __scalb)
weak_alias (ldexp, scalb)

30
sysdeps/ieee754/log10.c
View File

@ -1,30 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the base-ten logarithm of X. */
double
DEFUN(log10, (x), double x)
{
CONST double inverse_ln10 = 4.3429448190325181667e-1; /* 1 / log(10) */
return inverse_ln10 * log(x);
}

32
sysdeps/stub/acos.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the inverse cosine of X. */
double
DEFUN(acos, (x), double x)
{
errno = ENOSYS;
return 0.0;
}
stub_warning (acos)

32
sysdeps/stub/asin.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the inverse sine of X. */
double
DEFUN(asin, (x), double x)
{
errno = ENOSYS;
return 0.0;
}
stub_warning (asin)

31
sysdeps/stub/atan2.c
View File

@ -1,31 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <math.h>
/* Return the inverse tangent of Y/X. */
double
DEFUN(atan2, (y, x), double y AND double x)
{
errno = ENOSYS;
return 0.0;
}
stub_warning (atan2)

32
sysdeps/stub/cosh.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the hyperbolic cosine of X. */
double
DEFUN(cosh, (x), double x)
{
errno = ENOSYS;
return(0.0);
}
stub_warning (cosh)

32
sysdeps/stub/exp.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return e to the X. */
double
DEFUN(exp, (x), double x)
{
errno = ENOSYS;
return 0.0;
}
stub_warning (exp)

32
sysdeps/stub/fmod.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the floating-point modulo remainder of X/Y. */
double
DEFUN(fmod, (x, y), double x AND double y)
{
errno = ENOSYS;
return(0.0);
}
stub_warning (fmod)

33
sysdeps/stub/frexp.c
View File

@ -1,33 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Break VALUE into a normalized fraction and an integral power of 2. */
double
DEFUN(frexp, (value, exp), double value AND int *exp)
{
errno = ENOSYS;
*exp = 0;
return 0.0;
}
stub_warning (frexp)

32
sysdeps/stub/log.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the natural logarithm of X. */
double
DEFUN(log, (x), double x)
{
errno = ENOSYS;
return(0.0);
}
stub_warning (log)

32
sysdeps/stub/log10.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the base-ten logarithm of X. */
double
DEFUN(log10, (x), double x)
{
errno = ENOSYS;
return 0.0;
}
stub_warning (log10)

32
sysdeps/stub/sinh.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the hyperbolic sine of X. */
double
DEFUN(sinh, (x), double x)
{
errno = ENOSYS;
return(0.0);
}
stub_warning (sinh)

32
sysdeps/stub/tan.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the tangent of X. */
double
DEFUN(tan, (x), double x)
{
errno = ENOSYS;
return(0.0);
}
stub_warning (tan)

32
sysdeps/stub/tanh.c
View File

@ -1,32 +0,0 @@
/* Copyright (C) 1991, 1995 Free Software Foundation, Inc.
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., 675 Mass Ave,
Cambridge, MA 02139, USA. */
#include <ansidecl.h>
#include <errno.h>
#include <math.h>
/* Return the hyperbolic tangent of X. */
double
DEFUN(tanh, (x), double x)
{
errno = ENOSYS;
return(0.0);
}
stub_warning (tanh)

1
sysdeps/unix/sysv/linux/i386/Dist Normal file
View File

@ -0,0 +1 @@
sys/perm.h sys/vm86.h