2 * Copyright (c) 2011 David Schultz
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
8 * 1. Redistributions of source code must retain the above copyright
9 * notice unmodified, this list of conditions, and the following
11 * 2. Redistributions in binary form must reproduce the above copyright
12 * notice, this list of conditions and the following disclaimer in the
13 * documentation and/or other materials provided with the distribution.
15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
16 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
17 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
18 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
19 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
26 * $FreeBSD: head/lib/msun/src/s_ctanhf.c 226600 2011-10-21 06:30:16Z das $
30 * Hyperbolic tangent of a complex argument z. See s_ctanh.c for details.
36 #include "math_private.h"
39 ctanhf(float complex z)
42 float t, beta, s, rho, denom;
48 GET_FLOAT_WORD(hx, x);
51 if (ix >= 0x7f800000) {
53 return (cpackf(x, (y == 0 ? y : x * y)));
54 SET_FLOAT_WORD(x, hx - 0x40000000);
56 copysignf(0, isinf(y) ? y : sinf(y) * cosf(y))));
60 return (cpackf(y - y, y - y));
62 if (ix >= 0x41300000) { /* x >= 11 */
63 float exp_mx = expf(-fabsf(x));
64 return (cpackf(copysignf(1, x),
65 4 * sinf(y) * cosf(y) * exp_mx * exp_mx));
71 rho = sqrtf(1 + s * s);
72 denom = 1 + beta * s * s;
73 return (cpackf((beta * rho * s) / denom, t / denom));
77 ctanf(float complex z)
80 z = ctanhf(cpackf(-cimagf(z), crealf(z)));
81 return (cpackf(cimagf(z), -crealf(z)));