1 /* $OpenBSD: s_ctanh.c,v 1.6 2013/07/03 04:46:36 espie 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 * double complex ctanh();
27 * double complex z, w;
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
50 ctanh(double complex z)
57 d = cosh (2.0 * x) + cos (2.0 * y);
58 w = sinh (2.0 * x) / d + (sin (2.0 * y) / d) * I;
62 #if LDBL_MANT_DIG == DBL_MANT_DIG
63 __strong_alias(ctanhl, ctanh);
64 #endif /* LDBL_MANT_DIG == DBL_MANT_DIG */