Man page - cacosh(3)

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Manual

cacosh

NAME
LIBRARY
SYNOPSIS
DESCRIPTION
ATTRIBUTES
STANDARDS
HISTORY
EXAMPLES
SEE ALSO

NAME

cacosh, cacoshf, cacoshl - complex arc hyperbolic cosine

LIBRARY

Math library ( libm , -lm )

SYNOPSIS

#include <complex.h>

double complex cacosh(double complex z );
float complex cacoshf(float complex z );
long double complex cacoshl(long double complex z );

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:

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).

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STANDARDS

C11, POSIX.1-2008.

HISTORY

C99, POSIX.1-2001. glibc 2.1.

EXAMPLES

/* Link with "-lm" */
#include <complex.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
int
main(int argc, char *argv[])
{
double complex z, c, f;
if (argc != 3) {
fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);
exit(EXIT_FAILURE);
}
z = atof(argv[1]) + atof(argv[2]) * I;
c = cacosh(z);
printf("cacosh() = %6.3f %6.3f*i\n", creal(c), cimag(c));
f = 2 * clog(csqrt((z + 1)/2) + csqrt((z - 1)/2));
printf("formula = %6.3f %6.3f*i\n", creal(f), cimag(f));
exit(EXIT_SUCCESS);
}