cacosh, cacoshf, cacoshl — complex arc hyperbolic cosine
#include <complex.h>
double complex
cacosh( |
double complex z); |
float complex
cacoshf( |
float complex z); |
long double complex
cacoshl( |
long double complex z); |
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The cacosh() function
calculates 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))
/* Link with "−lm" */
#include <complex.h>
#include <stdlib.h>
#include <unistd.h>
#include <stdio.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(f2), cimag(f2));
exit(EXIT_SUCCESS);
}
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Copyright 2002 Walter Harms(walter.harmsinformatik.uni-oldenburg.de) and Copyright (C) 2011 Michael Kerrisk <mtk.manpagesgamil.com> %%%LICENSE_START(GPL_NOVERSION_ONELINE) Distributed under GPL %%%LICENSE_END |