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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-24 04:52:22 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-24 04:52:22 +0000
commit3d08cd331c1adcf0d917392f7e527b3f00511748 (patch)
tree312f0d1e1632f48862f044b8bb87e602dcffb5f9 /man/man3/catan.3
parentAdding debian version 6.7-2. (diff)
downloadmanpages-3d08cd331c1adcf0d917392f7e527b3f00511748.tar.xz
manpages-3d08cd331c1adcf0d917392f7e527b3f00511748.zip
Merging upstream version 6.8.
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
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+'\" t
+.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
+.\" and Copyright (C) 2011 Michael Kerrisk <mtk.manpages@gmail.com>
+.\"
+.\" SPDX-License-Identifier: GPL-1.0-or-later
+.\"
+.TH catan 3 2024-05-02 "Linux man-pages (unreleased)"
+.SH NAME
+catan, catanf, catanl \- complex arc tangents
+.SH LIBRARY
+Math library
+.RI ( libm ", " \-lm )
+.SH SYNOPSIS
+.nf
+.B #include <complex.h>
+.P
+.BI "double complex catan(double complex " z );
+.BI "float complex catanf(float complex " z );
+.BI "long double complex catanl(long double complex " z );
+.fi
+.SH DESCRIPTION
+These functions calculate the complex arc tangent of
+.IR z .
+If \fIy\~=\~catan(z)\fP, then \fIz\~=\~ctan(y)\fP.
+The real part of
+.I y
+is chosen in the interval [\-pi/2, pi/2].
+.P
+One has:
+.P
+.in +4n
+.EX
+catan(z) = (clog(1 + i * z) \- clog(1 \- i * z)) / (2 * i)
+.EE
+.in
+.SH ATTRIBUTES
+For an explanation of the terms used in this section, see
+.BR attributes (7).
+.TS
+allbox;
+lbx lb lb
+l l l.
+Interface Attribute Value
+T{
+.na
+.nh
+.BR catan (),
+.BR catanf (),
+.BR catanl ()
+T} Thread safety MT-Safe
+.TE
+.SH STANDARDS
+C11, POSIX.1-2008.
+.SH HISTORY
+glibc 2.1.
+C99, POSIX.1-2001.
+.SH EXAMPLES
+.\" SRC BEGIN (catan.c)
+.EX
+/* Link with "\-lm" */
+\&
+#include <complex.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <unistd.h>
+\&
+int
+main(int argc, char *argv[])
+{
+ double complex z, c, f;
+ double complex i = I;
+\&
+ if (argc != 3) {
+ fprintf(stderr, "Usage: %s <real> <imag>\en", argv[0]);
+ exit(EXIT_FAILURE);
+ }
+\&
+ z = atof(argv[1]) + atof(argv[2]) * I;
+\&
+ c = catan(z);
+ printf("catan() = %6.3f %6.3f*i\en", creal(c), cimag(c));
+\&
+ f = (clog(1 + i * z) \- clog(1 \- i * z)) / (2 * i);
+ printf("formula = %6.3f %6.3f*i\en", creal(f), cimag(f));
+\&
+ exit(EXIT_SUCCESS);
+}
+.EE
+.\" SRC END
+.SH SEE ALSO
+.BR ccos (3),
+.BR clog (3),
+.BR ctan (3),
+.BR complex (7)