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<H1>CACOS</H1>
Section: Linux Programmer's Manual (3)<BR>Updated: 2019-03-06<BR><A HREF="#index">Index</A>
<A HREF="/cgi-bin/man/man2html">Return to Main Contents</A><HR>
<A NAME="lbAB">&nbsp;</A>
<H2>NAME</H2>
cacos, cacosf, cacosl - complex arc cosine
<A NAME="lbAC">&nbsp;</A>
<H2>SYNOPSIS</H2>
<B>#include &lt;<A HREF="file:///usr/include/complex.h">complex.h</A>&gt;</B>
<P>
<B>double complex cacos(double complex </B><I>z</I><B>);</B>
<BR>
<B>float complex cacosf(float complex </B><I>z</I><B>);</B>
<BR>
<B>long double complex cacosl(long double complex </B><I>z</I><B>);</B>
<P>
Link with <I>-lm</I>.
<A NAME="lbAD">&nbsp;</A>
<H2>DESCRIPTION</H2>
These functions calculate the complex arc cosine of
<I>z</I>.
If <I>y&nbsp;=&nbsp;cacos(z)</I>, then <I>z&nbsp;=&nbsp;ccos(y)</I>.
The real part of
<I>y</I>
is chosen in the interval [0,pi].
<P>
One has:
<P>
<PRE>
cacos(z) = -i * clog(z + i * csqrt(1 - z * z))
</PRE>
<A NAME="lbAE">&nbsp;</A>
<H2>VERSIONS</H2>
These functions first appeared in glibc in version 2.1.
<A NAME="lbAF">&nbsp;</A>
<H2>ATTRIBUTES</H2>
For an explanation of the terms used in this section, see
<B><A HREF="/cgi-bin/man/man2html?7+attributes">attributes</A></B>(7).
<TABLE BORDER>
<TR VALIGN=top><TD><B>Interface</B></TD><TD><B>Attribute</B></TD><TD><B>Value</B><BR></TD></TR>
<TR VALIGN=top><TD>
<B>cacos</B>(),
<B>cacosf</B>(),
<B>cacosl</B>()
</TD><TD>Thread safety</TD><TD>MT-Safe<BR></TD></TR>
</TABLE>
<A NAME="lbAG">&nbsp;</A>
<H2>CONFORMING TO</H2>
C99, POSIX.1-2001, POSIX.1-2008.
<A NAME="lbAH">&nbsp;</A>
<H2>EXAMPLE</H2>
/* Link with &quot;-lm&quot; */
<P>
#include &lt;<A HREF="file:///usr/include/complex.h">complex.h</A>&gt;
#include &lt;<A HREF="file:///usr/include/stdlib.h">stdlib.h</A>&gt;
#include &lt;<A HREF="file:///usr/include/unistd.h">unistd.h</A>&gt;
#include &lt;<A HREF="file:///usr/include/stdio.h">stdio.h</A>&gt;
<P>
int
main(int argc, char *argv[])
{
<BR>&nbsp;&nbsp;&nbsp;&nbsp;double&nbsp;complex&nbsp;z,&nbsp;c,&nbsp;f;
<BR>&nbsp;&nbsp;&nbsp;&nbsp;double&nbsp;complex&nbsp;i&nbsp;=&nbsp;I;
<P>
<BR>&nbsp;&nbsp;&nbsp;&nbsp;if&nbsp;(argc&nbsp;!=&nbsp;3)&nbsp;{
<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;fprintf(stderr,&nbsp;&quot;Usage:&nbsp;%s&nbsp;&lt;real&gt;&nbsp;&lt;imag&gt;\n&quot;,&nbsp;argv[0]);
<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;exit(EXIT_FAILURE);
<BR>&nbsp;&nbsp;&nbsp;&nbsp;}
<P>
<BR>&nbsp;&nbsp;&nbsp;&nbsp;z&nbsp;=&nbsp;atof(argv[1])&nbsp;+&nbsp;atof(argv[2])&nbsp;*&nbsp;I;
<P>
<BR>&nbsp;&nbsp;&nbsp;&nbsp;c&nbsp;=&nbsp;cacos(z);
<P>
<BR>&nbsp;&nbsp;&nbsp;&nbsp;printf(&quot;cacos()&nbsp;=&nbsp;%6.3f&nbsp;%6.3f*i\n&quot;,&nbsp;creal(c),&nbsp;cimag(c));
<P>
<BR>&nbsp;&nbsp;&nbsp;&nbsp;f&nbsp;=&nbsp;-i&nbsp;*&nbsp;clog(z&nbsp;+&nbsp;i&nbsp;*&nbsp;csqrt(1&nbsp;-&nbsp;z&nbsp;*&nbsp;z));
<P>
<BR>&nbsp;&nbsp;&nbsp;&nbsp;printf(&quot;formula&nbsp;=&nbsp;%6.3f&nbsp;%6.3f*i\n&quot;,&nbsp;creal(f),&nbsp;cimag(f));
<P>
<BR>&nbsp;&nbsp;&nbsp;&nbsp;exit(EXIT_SUCCESS);
}
<A NAME="lbAI">&nbsp;</A>
<H2>SEE ALSO</H2>
<B><A HREF="/cgi-bin/man/man2html?3+ccos">ccos</A></B>(3),
<B><A HREF="/cgi-bin/man/man2html?3+clog">clog</A></B>(3),
<B><A HREF="/cgi-bin/man/man2html?7+complex">complex</A></B>(7)
<A NAME="lbAJ">&nbsp;</A>
<H2>COLOPHON</H2>
This page is part of release 5.05 of the Linux
<I>man-pages</I>
project.
A description of the project,
information about reporting bugs,
and the latest version of this page,
can be found at
<A HREF="https://www.kernel.org/doc/man-pages/.">https://www.kernel.org/doc/man-pages/.</A>
<P>
<HR>
<A NAME="index">&nbsp;</A><H2>Index</H2>
<DL>
<DT id="1"><A HREF="#lbAB">NAME</A><DD>
<DT id="2"><A HREF="#lbAC">SYNOPSIS</A><DD>
<DT id="3"><A HREF="#lbAD">DESCRIPTION</A><DD>
<DT id="4"><A HREF="#lbAE">VERSIONS</A><DD>
<DT id="5"><A HREF="#lbAF">ATTRIBUTES</A><DD>
<DT id="6"><A HREF="#lbAG">CONFORMING TO</A><DD>
<DT id="7"><A HREF="#lbAH">EXAMPLE</A><DD>
<DT id="8"><A HREF="#lbAI">SEE ALSO</A><DD>
<DT id="9"><A HREF="#lbAJ">COLOPHON</A><DD>
</DL>
<HR>
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