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/* $OpenBSD: n_csinh.c,v 1.1 2008/10/07 22:25:53 martynas 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.
*/
/* csinh
*
* Complex hyperbolic sine
*
*
*
* SYNOPSIS:
*
* double complex csinh();
* double complex z, w;
*
* w = csinh (z);
*
* DESCRIPTION:
*
* csinh z = (cexp(z) - cexp(-z))/2
* = sinh x * cos y + i cosh x * sin y .
*
* ACCURACY:
*
* Relative error:
* arithmetic domain # trials peak rms
* IEEE -10,+10 30000 3.1e-16 8.2e-17
*
*/
#include <complex.h>
#include <math.h>
double complex
csinh(double complex z)
{
double complex w;
double x, y;
x = creal(z);
y = cimag(z);
w = sinh (x) * cos (y) + (cosh (x) * sin (y)) * I;
return (w);
}
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