1cacosh(3) Library Functions Manual cacosh(3)
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6 cacosh, cacoshf, cacoshl - complex arc hyperbolic cosine
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9 Math library (libm, -lm)
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12 #include <complex.h>
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14 double complex cacosh(double complex z);
15 float complex cacoshf(float complex z);
16 long double complex cacoshl(long double complex z);
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19 These functions calculate the complex arc hyperbolic cosine of z. If
20 y = cacosh(z), then z = ccosh(y). The imaginary part of y is chosen in
21 the interval [-pi,pi]. The real part of y is chosen nonnegative.
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23 One has:
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25 cacosh(z) = 2 * clog(csqrt((z + 1) / 2) + csqrt((z - 1) / 2))
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28 For an explanation of the terms used in this section, see at‐
29 tributes(7).
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31 ┌────────────────────────────────────────────┬───────────────┬─────────┐
32 │Interface │ Attribute │ Value │
33 ├────────────────────────────────────────────┼───────────────┼─────────┤
34 │cacosh(), cacoshf(), cacoshl() │ Thread safety │ MT-Safe │
35 └────────────────────────────────────────────┴───────────────┴─────────┘
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38 C11, POSIX.1-2008.
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41 C99, POSIX.1-2001. glibc 2.1.
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44 /* Link with "-lm" */
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46 #include <complex.h>
47 #include <stdio.h>
48 #include <stdlib.h>
49 #include <unistd.h>
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51 int
52 main(int argc, char *argv[])
53 {
54 double complex z, c, f;
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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 = cacosh(z);
64 printf("cacosh() = %6.3f %6.3f*i\n", creal(c), cimag(c));
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66 f = 2 * clog(csqrt((z + 1)/2) + csqrt((z - 1)/2));
67 printf("formula = %6.3f %6.3f*i\n", creal(f), cimag(f));
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69 exit(EXIT_SUCCESS);
70 }
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73 acosh(3), cabs(3), ccosh(3), cimag(3), complex(7)
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77Linux man-pages 6.05 2023-07-20 cacosh(3)