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catanh, catanhf, catanhl — complex arc tangents hyperbolic
#include <complex.h>
double complex
catanh( |
double complex z) ; |
float complex
catanhf( |
float complex z) ; |
long double complex
catanhl( |
long double complex z) ; |
Note | |
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Link with |
The catanh
() function
calculates the complex arc hyperbolic tangent of z
. If y = catanh(z), then z = ctanh(y). The imaginary part
of y
is chosen in the interval
[−pi/2,pi/2].
One has:
catanh(z) = 0.5 * (clog(1 + z) − clog(1 − z))
/* 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 = catanh(z); printf("catanh() = %6.3f %6.3f*i\n", creal(c), cimag(c)); f = 0.5 * (clog(1 + z) − clog(1 − z)); 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 |