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.\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
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2008-08-01 05:26:24 +00:00
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.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
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.\" <mtk.manpages@gmail.com>
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2004-11-03 13:51:07 +00:00
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.\"
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.\" Permission is granted to make and distribute verbatim copies of this
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.\" manual provided the copyright notice and this permission notice are
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.\" preserved on all copies.
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.\"
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.\" Permission is granted to copy and distribute modified versions of this
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.\" manual under the conditions for verbatim copying, provided that the
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.\" entire resulting derived work is distributed under the terms of a
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.\" permission notice identical to this one.
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2007-04-12 22:42:49 +00:00
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.\"
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.\" Since the Linux kernel and libraries are constantly changing, this
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.\" manual page may be incorrect or out-of-date. The author(s) assume no
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.\" responsibility for errors or omissions, or for damages resulting from
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.\" the use of the information contained herein. The author(s) may not
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.\" have taken the same level of care in the production of this manual,
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.\" which is licensed free of charge, as they might when working
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.\" professionally.
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2007-04-12 22:42:49 +00:00
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.\"
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2004-11-03 13:51:07 +00:00
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.\" Formatted or processed versions of this manual, if unaccompanied by
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.\" the source, must acknowledge the copyright and authors of this work.
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.\"
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.\" References consulted:
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.\" Linux libc source code
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.\" Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991)
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.\" 386BSD man pages
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.\" Modified Sat Jul 24 19:08:17 1993 by Rik Faith (faith@cs.unc.edu)
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.\" Modified 2002-08-25, aeb
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2004-11-12 18:01:15 +00:00
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.\" Modified 2004-11-12 as per suggestion by Fabian Kreutz/AEB
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.\" 2008-07-24, mtk, moved yxx() material into separate y0.3 page
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.\"
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_exit.2, brk.2, capget.2, chdir.2, chmod.2, chown.2, chroot.2, getdtablesize.2, gethostname.2, getpagesize.2, getsid.2, killpg.2, mknod.2, mknodat.2, poll.2, posix_fadvise.2, pread.2, readlink.2, setpgid.2, setreuid.2, sigaltstack.2, stat.2, symlink.2, sync.2, truncate.2, vfork.2, wait.2, wait4.2, a64l.3, abs.3, acos.3, acosh.3, asin.3, asinh.3, atan.3, atan2.3, atoi.3, cbrt.3, ceil.3, copysign.3, cosh.3, dirfd.3, div.3, ecvt.3, erf.3, erfc.3, exp.3, exp2.3, fabs.3, fdim.3, ffs.3, floor.3, fma.3, fmax.3, fmin.3, fmod.3, fpclassify.3, frexp.3, ftw.3, fwide.3, gcvt.3, getcwd.3, getdate.3, getgrent.3, gethostid.3, getpass.3, getpwent.3, getsubopt.3, getw.3, hypot.3, ilogb.3, index.3, isalpha.3, isgreater.3, iswblank.3, j0.3, ldexp.3, lockf.3, log.3, log10.3, log1p.3, logb.3, lrint.3, lround.3, mkstemp.3, mktemp.3, modf.3, mq_receive.3, mq_send.3, nan.3, nextafter.3, posix_fallocate.3, posix_memalign.3, printf.3, qecvt.3, random.3, realpath.3, remainder.3, remquo.3, rint.3, round.3, scalb.3, scalbln.3, scanf.3, siginterrupt.3, signbit.3, sigset.3, sinh.3, sqrt.3, strcasecmp.3, strcat.3, strchr.3, strcmp.3, strcoll.3, strcpy.3, strfry.3, strpbrk.3, strsep.3, strspn.3, strstr.3, strtod.3, strtok.3, strtol.3, strtoul.3, strxfrm.3, tanh.3, tgamma.3, trunc.3, ttyslot.3, ualarm.3, usleep.3, wprintf.3, armscii-8.7, cp1251.7, iso_8859-10.7, iso_8859-11.7, iso_8859-13.7, iso_8859-14.7, iso_8859-3.7, iso_8859-5.7, iso_8859-6.7, iso_8859-8.7, koi8-u.7: tstamp
Signed-off-by: Michael Kerrisk <mtk.manpages@gmail.com>
2010-09-19 17:19:13 +00:00
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.TH J0 3 2010-09-20 "" "Linux Programmer's Manual"
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.SH NAME
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j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl \-
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Bessel functions of the first kind
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.SH SYNOPSIS
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.nf
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.B #include <math.h>
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.sp
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.fi
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.BI "double j0(double " x );
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.br
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.BI "double j1(double " x );
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.br
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.BI "double jn(int " n ", double " x );
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.sp
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.BI "float j0f(float " x );
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.br
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.BI "float j1f(float " x );
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.br
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.BI "float jnf(int " n ", float " x );
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.sp
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.BI "long double j0l(long double " x );
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.br
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.BI "long double j1l(long double " x );
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.br
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.BI "long double jnl(int " n ", long double " x );
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.sp
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2007-07-21 05:25:03 +00:00
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Link with \fI\-lm\fP.
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2007-07-08 12:11:40 +00:00
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.sp
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.in -4n
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Feature Test Macro Requirements for glibc (see
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.BR feature_test_macros (7)):
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.in
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.sp
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.ad l
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.BR j0 (),
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.BR j1 (),
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2008-08-07 04:20:52 +00:00
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.BR jn ():
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2010-09-19 05:34:59 +00:00
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.RS 4
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2007-07-08 12:11:40 +00:00
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_SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE
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2010-09-19 05:34:59 +00:00
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.RE
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.br
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.BR j0f (),
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.BR j0l (),
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.BR j1f (),
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.BR j1l (),
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.BR jnf (),
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2008-08-07 04:20:52 +00:00
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.BR jnl ():
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2010-09-19 05:34:59 +00:00
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.RS 4
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acos.3, asin.3, atan.3, atan2.3, ceil.3, cos.3, cosh.3, exp.3, fabs.3, floor.3, fmod.3, frexp.3, j0.3, ldexp.3, log.3, log10.3, modf.3, pow.3, sin.3, sinh.3, sqrt.3, tan.3, tanh.3: Fix feature test macro requirements
Signed-off-by: Michael Kerrisk <mtk.manpages@gmail.com>
2010-09-19 16:06:56 +00:00
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_SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE\ >=\ 600 ||
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.\" Also seems to work: -std=c99 -D_XOPEN_SOURCE
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2010-09-19 05:34:59 +00:00
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.RE
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.ad b
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.SH DESCRIPTION
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The
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.BR j0 ()
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and
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.BR j1 ()
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functions return Bessel functions of \fIx\fP
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of the first kind of orders 0 and 1, respectively.
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The
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.BR jn ()
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function
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returns the Bessel function of \fIx\fP of the first kind of order \fIn\fP.
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.PP
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2007-05-12 09:06:04 +00:00
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The
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.BR j0f ()
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etc. and
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.BR j0l ()
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etc. functions are versions that take and return
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.I float
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and
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.I "long double"
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values, respectively.
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.SH RETURN VALUE
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On success, these functions return the appropriate
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Bessel value of the first kind for
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.IR x .
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If
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.I x
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is a NaN, a NaN is returned.
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If
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.I x
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is too large in magnitude,
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or the result underflows,
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a range error occurs,
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and the return value is 0.
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.SH ERRORS
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See
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.BR math_error (7)
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for information on how to determine whether an error has occurred
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when calling these functions.
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.PP
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The following errors can occur:
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.TP
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Range error: result underflow, or \fIx\fP is too large in magnitude
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.I errno
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is set to
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.BR ERANGE .
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.\" An underflow floating-point exception
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.\" .RB ( FE_UNDERFLOW )
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.\" is raised.
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.PP
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These functions do not raise exceptions for
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.BR fetestexcept (3).
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.\" FIXME . Is it intentional that these functions do not raise exceptions?
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.\" e.g., j0(1.5e16)
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.\" Bug raised: http://sources.redhat.com/bugzilla/show_bug.cgi?id=6805
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.SH "CONFORMING TO"
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2007-04-12 22:42:49 +00:00
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The functions returning
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.I double
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2006-08-03 13:57:30 +00:00
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conform to SVr4, 4.3BSD,
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POSIX.1-2001.
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accept.2, execve.2, futimesat.2, getresuid.2, getrlimit.2, madvise.2, mq_getsetattr.2, msgctl.2, nice.2, open.2, poll.2, setresuid.2, shmctl.2, sigaction.2, times.2, utimensat.2, __setfpucw.3, atoi.3, endian.3, err.3, euidaccess.3, fenv.3, fopencookie.3, fpurge.3, getgrouplist.3, getutmp.3, j0.3, lgamma.3, netlink.3, pthread_attr_init.3, pthread_attr_setaffinity_np.3, pthread_cleanup_push_defer_np.3, pthread_getattr_np.3, pthread_kill_other_threads_np.3, pthread_setaffinity_np.3, pthread_tryjoin_np.3, pthread_yield.3, random_r.3, readdir.3, rtnetlink.3, scanf.3, setenv.3, significand.3, sigsetops.3, strerror.3, strstr.3, sysv_signal.3, termios.3, timegm.3, unlocked_stdio.3, y0.3, locale.5, bootparam.7, feature_test_macros.7, ip.7, locale.7, pthreads.7, rtld-audit.7, nscd.8: Global fix: s/non-standard/nonstandard/
The tendency in English, as prescribed in style guides like
Chicago MoS, is towards removing hyphens after prefixes
like "non-" etc.
Signed-off-by: Michael Kerrisk <mtk.manpages@gmail.com>
2010-01-16 16:37:52 +00:00
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The others are nonstandard functions that also exist on the BSDs.
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2004-11-03 13:51:07 +00:00
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.SH BUGS
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2007-05-12 09:06:04 +00:00
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There are errors of up to 2e\-16 in the values returned by
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.BR j0 (),
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.BR j1 ()
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and
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.BR jn ()
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for values of \fIx\fP between \-8 and 8.
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2008-08-01 05:26:24 +00:00
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.SH SEE ALSO
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.BR y0 (3)
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