Branch data Line data Source code
1 : : /*-
2 : : * Copyright (c) 2011 David Schultz
3 : : * All rights reserved.
4 : : *
5 : : * Redistribution and use in source and binary forms, with or without
6 : : * modification, are permitted provided that the following conditions
7 : : * are met:
8 : : * 1. Redistributions of source code must retain the above copyright
9 : : * notice unmodified, this list of conditions, and the following
10 : : * disclaimer.
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.
14 : : *
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
23 : : * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24 : : * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
25 : : */
26 : :
27 : : /*
28 : : * Hyperbolic tangent of a complex argument z. See s_ctanh.c for details.
29 : : */
30 : :
31 : : #include "cdefs-compat.h"
32 : : //__FBSDID("$FreeBSD: src/lib/msun/src/s_ctanhf.c,v 1.2 2011/10/21 06:30:16 das Exp $");
33 : :
34 : : #include <openlibm_complex.h>
35 : : #include <openlibm_math.h>
36 : :
37 : : #include "math_private.h"
38 : :
39 : : OLM_DLLEXPORT float complex
40 : 0 : ctanhf(float complex z)
41 : : {
42 : : float x, y;
43 : : float t, beta, s, rho, denom;
44 : : u_int32_t hx, ix;
45 : :
46 : 0 : x = crealf(z);
47 : 0 : y = cimagf(z);
48 : :
49 : 0 : GET_FLOAT_WORD(hx, x);
50 : 0 : ix = hx & 0x7fffffff;
51 : :
52 [ # # ]: 0 : if (ix >= 0x7f800000) {
53 [ # # ]: 0 : if (ix & 0x7fffff)
54 [ # # ]: 0 : return (CMPLXF(x, (y == 0 ? y : x * y)));
55 : 0 : SET_FLOAT_WORD(x, hx - 0x40000000);
56 [ # # ]: 0 : return (CMPLXF(x,
57 : : copysignf(0, isinf(y) ? y : sinf(y) * cosf(y))));
58 : : }
59 : :
60 [ # # ]: 0 : if (!isfinite(y))
61 : 0 : return (CMPLXF(y - y, y - y));
62 : :
63 [ # # ]: 0 : if (ix >= 0x41300000) { /* x >= 11 */
64 : 0 : float exp_mx = expf(-fabsf(x));
65 : 0 : return (CMPLXF(copysignf(1, x),
66 : : 4 * sinf(y) * cosf(y) * exp_mx * exp_mx));
67 : : }
68 : :
69 : 0 : t = tanf(y);
70 : 0 : beta = 1.0 + t * t;
71 : 0 : s = sinhf(x);
72 : 0 : rho = sqrtf(1 + s * s);
73 : 0 : denom = 1 + beta * s * s;
74 : 0 : return (CMPLXF((beta * rho * s) / denom, t / denom));
75 : : }
76 : :
77 : : OLM_DLLEXPORT float complex
78 : 0 : ctanf(float complex z)
79 : : {
80 : :
81 : 0 : z = ctanhf(CMPLXF(-cimagf(z), crealf(z)));
82 : 0 : return (CMPLXF(cimagf(z), -crealf(z)));
83 : : }
84 : :
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