279 lines
5.4 KiB
HTML
279 lines
5.4 KiB
HTML
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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<HTML><HEAD><TITLE>Man page of J0</TITLE>
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</HEAD><BODY>
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<H1>J0</H1>
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Section: Linux Programmer's Manual (3)<BR>Updated: 2017-09-15<BR><A HREF="#index">Index</A>
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<A HREF="/cgi-bin/man/man2html">Return to Main Contents</A><HR>
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<A NAME="lbAB"> </A>
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<H2>NAME</H2>
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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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<A NAME="lbAC"> </A>
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<H2>SYNOPSIS</H2>
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<PRE>
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<B>#include <<A HREF="file:///usr/include/math.h">math.h</A>></B>
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<B>double j0(double </B><I>x</I><B>);</B>
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<B>double j1(double </B><I>x</I><B>);</B>
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<B>double jn(int </B><I>n</I><B>, double </B><I>x</I><B>);</B>
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<B>float j0f(float </B><I>x</I><B>);</B>
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<B>float j1f(float </B><I>x</I><B>);</B>
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<B>float jnf(int </B><I>n</I><B>, float </B><I>x</I><B>);</B>
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<B>long double j0l(long double </B><I>x</I><B>);</B>
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<B>long double j1l(long double </B><I>x</I><B>);</B>
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<B>long double jnl(int </B><I>n</I><B>, long double </B><I>x</I><B>);</B>
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</PRE>
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<P>
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Link with <I>-lm</I>.
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<P>
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Feature Test Macro Requirements for glibc (see
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<B><A HREF="/cgi-bin/man/man2html?7+feature_test_macros">feature_test_macros</A></B>(7)):
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<P>
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<B>j0</B>(),
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<B>j1</B>(),
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<B>jn</B>():
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<DL COMPACT><DT id="1"><DD>
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_XOPEN_SOURCE
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<BR> || /* Since glibc 2.19: */ _DEFAULT_SOURCE
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<BR> || /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
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</DL>
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<BR>
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<B>j0f</B>(),
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<B>j0l</B>(),
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<B>j1f</B>(),
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<B>j1l</B>(),
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<B>jnf</B>(),
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<B>jnl</B>():
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<DL COMPACT><DT id="2"><DD>
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_XOPEN_SOURCE >= 600
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<BR> || (_ISOC99_SOURCE && _XOPEN_SOURCE)
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<BR> || /* Since glibc 2.19: */ _DEFAULT_SOURCE
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<BR> || /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
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</DL>
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<A NAME="lbAD"> </A>
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<H2>DESCRIPTION</H2>
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The
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<B>j0</B>()
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and
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<B>j1</B>()
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functions return Bessel functions of
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<I>x</I>
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of the first kind of orders 0 and 1, respectively.
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The
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<B>jn</B>()
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function
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returns the Bessel function of
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<I>x</I>
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of the first kind of order
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<I>n</I>.
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<P>
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The
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<B>j0f</B>(),
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<B>j1f</B>(),
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and
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<B>jnf</B>(),
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functions are versions that take and return
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<I>float</I>
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values.
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The
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<B>j0l</B>(),
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<B>j1l</B>(),
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and
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<B>jnl</B>()
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functions are versions that take and return
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<I>long double</I>
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values.
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<A NAME="lbAE"> </A>
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<H2>RETURN VALUE</H2>
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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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<I>x</I>.
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<P>
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If
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<I>x</I>
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is a NaN, a NaN is returned.
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<P>
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If
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<I>x</I>
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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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<A NAME="lbAF"> </A>
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<H2>ERRORS</H2>
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See
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<B><A HREF="/cgi-bin/man/man2html?7+math_error">math_error</A></B>(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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<P>
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The following errors can occur:
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<DL COMPACT>
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<DT id="3">Range error: result underflow, or <I>x</I> is too large in magnitude<DD>
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<I>errno</I>
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is set to
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<B>ERANGE</B>.
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</DL>
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<P>
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These functions do not raise exceptions for
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<B><A HREF="/cgi-bin/man/man2html?3+fetestexcept">fetestexcept</A></B>(3).
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<A NAME="lbAG"> </A>
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<H2>ATTRIBUTES</H2>
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For an explanation of the terms used in this section, see
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<B><A HREF="/cgi-bin/man/man2html?7+attributes">attributes</A></B>(7).
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<TABLE BORDER>
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<TR VALIGN=top><TD><B>Interface</B></TD><TD><B>Attribute</B></TD><TD><B>Value</B><BR></TD></TR>
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<TR VALIGN=top><TD>
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<B>j0</B>(),
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<B>j0f</B>(),
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<B>j0l</B>()
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</TD><TD>Thread safety</TD><TD>MT-Safe<BR></TD></TR>
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<TR VALIGN=top><TD>
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<B>j1</B>(),
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<B>j1f</B>(),
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<B>j1l</B>()
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</TD><TD>Thread safety</TD><TD>MT-Safe<BR></TD></TR>
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<TR VALIGN=top><TD>
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<B>jn</B>(),
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<B>jnf</B>(),
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<B>jnl</B>()
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</TD><TD>Thread safety</TD><TD>MT-Safe<BR></TD></TR>
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</TABLE>
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<A NAME="lbAH"> </A>
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<H2>CONFORMING TO</H2>
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The functions returning
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<I>double</I>
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conform to SVr4, 4.3BSD,
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POSIX.1-2001, and POSIX.1-2008.
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The others are nonstandard functions that also exist on the BSDs.
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<A NAME="lbAI"> </A>
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<H2>BUGS</H2>
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There are errors of up to 2e-16 in the values returned by
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<B>j0</B>(),
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<B>j1</B>()
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and
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<B>jn</B>()
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for values of
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<I>x</I>
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between -8 and 8.
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<A NAME="lbAJ"> </A>
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<H2>SEE ALSO</H2>
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<B><A HREF="/cgi-bin/man/man2html?3+y0">y0</A></B>(3)
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<A NAME="lbAK"> </A>
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<H2>COLOPHON</H2>
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This page is part of release 5.05 of the Linux
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<I>man-pages</I>
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project.
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A description of the project,
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information about reporting bugs,
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and the latest version of this page,
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can be found at
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<A HREF="https://www.kernel.org/doc/man-pages/.">https://www.kernel.org/doc/man-pages/.</A>
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<P>
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<HR>
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<A NAME="index"> </A><H2>Index</H2>
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<DL>
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<DT id="4"><A HREF="#lbAB">NAME</A><DD>
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<DT id="5"><A HREF="#lbAC">SYNOPSIS</A><DD>
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<DT id="6"><A HREF="#lbAD">DESCRIPTION</A><DD>
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<DT id="7"><A HREF="#lbAE">RETURN VALUE</A><DD>
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<DT id="8"><A HREF="#lbAF">ERRORS</A><DD>
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<DT id="9"><A HREF="#lbAG">ATTRIBUTES</A><DD>
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<DT id="10"><A HREF="#lbAH">CONFORMING TO</A><DD>
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<DT id="11"><A HREF="#lbAI">BUGS</A><DD>
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<DT id="12"><A HREF="#lbAJ">SEE ALSO</A><DD>
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<DT id="13"><A HREF="#lbAK">COLOPHON</A><DD>
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</DL>
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<HR>
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This document was created by
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<A HREF="/cgi-bin/man/man2html">man2html</A>,
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using the manual pages.<BR>
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Time: 00:05:46 GMT, March 31, 2021
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</BODY>
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</HTML>
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