1 /* $OpenBSD: s_ctanhf.c,v 1.2 2010/07/18 18:42:26 guenther Exp $ */
3 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
5 * Permission to use, copy, modify, and distribute this software for any
6 * purpose with or without fee is hereby granted, provided that the above
7 * copyright notice and this permission notice appear in all copies.
9 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
10 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
11 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
12 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
13 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
14 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
15 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
20 * Complex hyperbolic tangent
26 * float complex ctanhf();
35 * tanh z = (sinh 2x + i sin 2y) / (cosh 2x + cos 2y) .
40 * arithmetic domain # trials peak rms
41 * IEEE -10,+10 30000 1.7e-14 2.4e-16
49 ctanhf(float complex z
)
56 d
= coshf (2.0f
* x
) + cosf (2.0f
* y
);
57 w
= sinhf (2.0f
* x
) / d
+ (sinf (2.0f
* y
) / d
) * I
;