1CATANH(3) Linux Programmer's Manual CATANH(3)
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6 catanh, catanhf, catanhl - complex arc tangents hyperbolic
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9 #include <complex.h>
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11 double complex catanh(double complex z);
12 float complex catanhf(float complex z);
13 long double complex catanhl(long double complex z);
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15 Link with -lm.
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18 These functions calculate the complex arc hyperbolic tangent of z. If
19 y = catanh(z), then z = ctanh(y). The imaginary part of y is chosen in
20 the interval [-pi/2,pi/2].
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22 One has:
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24 catanh(z) = 0.5 * (clog(1 + z) - clog(1 - z))
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27 These functions first appeared in glibc in version 2.1.
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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 │catanh(), catanhf(), catanhl() │ Thread safety │ MT-Safe │
37 └────────────────────────────────────────────┴───────────────┴─────────┘
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40 C99, POSIX.1-2001, POSIX.1-2008.
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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;
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55 if (argc != 3) {
56 fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);
57 exit(EXIT_FAILURE);
58 }
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60 z = atof(argv[1]) + atof(argv[2]) * I;
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62 c = catanh(z);
63 printf("catanh() = %6.3f %6.3f*i\n", creal(c), cimag(c));
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65 f = 0.5 * (clog(1 + z) - clog(1 - z));
66 printf("formula = %6.3f %6.3f*i\n", creal(f2), cimag(f2));
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68 exit(EXIT_SUCCESS);
69 }
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72 atanh(3), cabs(3), cimag(3), ctanh(3), complex(7)
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75 This page is part of release 5.12 of the Linux man-pages project. A
76 description of the project, information about reporting bugs, and the
77 latest version of this page, can be found at
78 https://www.kernel.org/doc/man-pages/.
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82 2021-03-22 CATANH(3)