—
NAME
cacosh, cacoshf, cacoshl - complex arc hyperbolic cosine
LIBRARY
Math library (libm, -lm)
SYNOPSIS
bash
#include <complex.h>bash
double complex cacosh(double complex \nz\n);\n
\nfloat complex cacoshf(float complex \nz\n);\n
\nlong double complex cacoshl(long double complex \nz\n);DESCRIPTION
These functions calculate the complex arc hyperbolic cosine of z. If y = cacosh(z), then z = ccosh(y). The imaginary part of y is chosen in the interval [-pi,pi]. The real part of y is chosen nonnegative.
One has:
bash
\n
cacosh(z) = 2 * clog(csqrt((z + 1) / 2) + csqrt((z - 1) / 2))ATTRIBUTES
For an explanation of the terms used in this section, see attributes(7).
| Interface | Attribute | Value |
| cacosh (), cacoshf (), cacoshl () | Thread safety | MT-Safe |
STANDARDS
C11, POSIX.1-2008.
HISTORY
C99, POSIX.1-2001. glibc 2.1.
EXAMPLES
bash
/* Link with "-lm" */
#include <complex.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
int
main(int argc, char *argv[])
{
\n
double complex z, c, f;
\n
if (argc != 3) {
\n
fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);
\n
exit(EXIT_FAILURE);
\n
}
\n
z = atof(argv[1]) + atof(argv[2]) * I;
\n
c = cacosh(z);
\n
printf("cacosh() = %6.3f %6.3f*i\n", creal(c), cimag(c));
\n
f = 2 * clog(csqrt((z + 1)/2) + csqrt((z - 1)/2));
\n
printf("formula = %6.3f %6.3f*i\n", creal(f), cimag(f));
\n
exit(EXIT_SUCCESS);
}SEE ALSO
acosh(3), cabs(3), ccosh(3), cimag(3), complex(7)