catan(3) - f36

1CATAN(3)                   Linux Programmer's Manual                  CATAN(3)
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NAME

6       catan, catanf, catanl - complex arc tangents
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SYNOPSIS

9       #include <complex.h>
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11       double complex catan(double complex z);
12       float complex catanf(float complex z);
13       long double complex catanl(long double complex z);
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15       Link with -lm.
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DESCRIPTION

18       These   functions   calculate   the  complex  arc  tangent  of  z.   If
19       y = catan(z), then z = ctan(y).  The real part of y is  chosen  in  the
20       interval [-pi/2,pi/2].
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22       One has:
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24           catan(z) = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i)
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VERSIONS

27       These functions first appeared in glibc in version 2.1.
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ATTRIBUTES

30       For  an  explanation  of  the  terms  used  in  this  section,  see at‐
31       tributes(7).
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33       ┌────────────────────────────────────────────┬───────────────┬─────────┐
34       │Interface                                   │ Attribute     │ Value   │
35       ├────────────────────────────────────────────┼───────────────┼─────────┤
36       │catan(), catanf(), catanl()                 │ Thread safety │ MT-Safe │
37       └────────────────────────────────────────────┴───────────────┴─────────┘
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CONFORMING TO

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

43       /* Link with "-lm" */
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45       #include <complex.h>
46       #include <stdlib.h>
47       #include <unistd.h>
48       #include <stdio.h>
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50       int
51       main(int argc, char *argv[])
52       {
53           double complex z, c, f;
54           double complex i = I;
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56           if (argc != 3) {
57               fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);
58               exit(EXIT_FAILURE);
59           }
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61           z = atof(argv[1]) + atof(argv[2]) * I;
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63           c = catan(z);
64           printf("catan() = %6.3f %6.3f*i\n", creal(c), cimag(c));
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66           f = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i);
67           printf("formula = %6.3f %6.3f*i\n", creal(f2), cimag(f2));
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69           exit(EXIT_SUCCESS);
70       }
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COLOPHON

76       This page is part of release 5.13 of the Linux  man-pages  project.   A
77       description  of  the project, information about reporting bugs, and the
78       latest    version    of    this    page,    can     be     found     at
79       https://www.kernel.org/doc/man-pages/.
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83                                  2021-03-22                          CATAN(3)