cacosh - Online Linux Manual PageSection : 3
Updated : 2022-12-15
Source : Linux man-pages 6.03

NAMEcacosh, cacoshf, cacoshl − complex arc hyperbolic cosine

LIBRARYMath 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);

DESCRIPTIONThese 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))

VERSIONSThese functions were added in glibc 2.1.

ATTRIBUTESFor an explanation of the terms used in this section, see attributes(7). InterfaceAttributeValue cacosh(), cacoshf(), cacoshl() Thread safetyMT-Safe

STANDARDSC99, POSIX.1-2001, POSIX.1-2008.

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); }

SEE ALSOacosh(3), cabs(3), ccosh(3), cimag(3), complex(7)
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