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/* $OpenBSD: s_ctanh.c,v 1.7 2016/09/12 19:47:02 guenther Exp $ */
/*
* Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
*
* Permission to use, copy, modify, and distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
/* ctanh
*
* Complex hyperbolic tangent
*
*
*
* SYNOPSIS:
*
* double complex ctanh();
* double complex z, w;
*
* w = ctanh (z);
*
*
*
* DESCRIPTION:
*
* tanh z = (sinh 2x + i sin 2y) / (cosh 2x + cos 2y) .
*
* ACCURACY:
*
* Relative error:
* arithmetic domain # trials peak rms
* IEEE -10,+10 30000 1.7e-14 2.4e-16
*
*/
#include <complex.h>
#include <float.h>
#include <math.h>
double complex
ctanh(double complex z)
{
double complex w;
double x, y, d;
x = creal(z);
y = cimag(z);
d = cosh (2.0 * x) + cos (2.0 * y);
w = sinh (2.0 * x) / d + (sin (2.0 * y) / d) * I;
return (w);
}
DEF_STD(ctanh);
LDBL_MAYBE_UNUSED_CLONE(ctanh);
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