x11r4 man page for catan

CATAN(3)						     Linux Programmer's Manual							  CATAN(3)

NAME

       catan, catanf, catanl - complex arc tangents

SYNOPSIS

       #include <complex.h>

       double complex catan(double complex z);
       float complex catanf(float complex z);
       long double complex catanl(long double complex z);

       Link with -lm.

DESCRIPTION

       These  functions  calculate the complex arc tangent of z.  If y = catan(z), then z = ctan(y).  The real part of y is chosen in the interval
       [-pi/2,pi/2].

       One has:

	   catan(z) = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i)

VERSIONS

       These functions first appeared in glibc in version 2.1.

ATTRIBUTES

       For an explanation of the terms used in this section, see attributes(7).

       +----------------------------+---------------+---------+
       |Interface		    | Attribute     | Value   |
       +----------------------------+---------------+---------+
       |catan(), catanf(), catanl() | Thread safety | MT-Safe |
       +----------------------------+---------------+---------+
CONFORMING TO

       C99, POSIX.1-2001, POSIX.1-2008.

EXAMPLE

       /* Link with "-lm" */

       #include <complex.h>
       #include <stdlib.h>
       #include <unistd.h>
       #include <stdio.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>
", argv[0]);
	       exit(EXIT_FAILURE);
	   }

	   z = atof(argv[1]) + atof(argv[2]) * I;

	   c = catan(z);
	   printf("catan() = %6.3f %6.3f*i
", creal(c), cimag(c));

	   f = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i);
	   printf("formula = %6.3f %6.3f*i
", creal(f2), cimag(f2));

	   exit(EXIT_SUCCESS);
       }

SEE ALSO

       ccos(3), clog(3), ctan(3), complex(7)

COLOPHON

       This page is part of release 4.15 of the Linux man-pages project.  A description of the project, information about reporting bugs, and  the
       latest version of this page, can be found at https://www.kernel.org/doc/man-pages/.

								    2015-04-19								  CATAN(3)