Branch data Line data Source code
1 : : /*-
2 : : * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
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 sine of a complex argument z. See s_csinh.c for details.
29 : : */
30 : :
31 : : #include "cdefs-compat.h"
32 : : //__FBSDID("$FreeBSD: src/lib/msun/src/s_csinhf.c,v 1.2 2011/10/21 06:29:32 das Exp $");
33 : :
34 : : #include <openlibm_complex.h>
35 : : #include <openlibm_math.h>
36 : :
37 : : #include "math_private.h"
38 : :
39 : : static const float huge = 0x1p127;
40 : :
41 : : OLM_DLLEXPORT float complex
42 : 0 : csinhf(float complex z)
43 : : {
44 : : float x, y, h;
45 : : int32_t hx, hy, ix, iy;
46 : :
47 : 0 : x = crealf(z);
48 : 0 : y = cimagf(z);
49 : :
50 : 0 : GET_FLOAT_WORD(hx, x);
51 : 0 : GET_FLOAT_WORD(hy, y);
52 : :
53 : 0 : ix = 0x7fffffff & hx;
54 : 0 : iy = 0x7fffffff & hy;
55 : :
56 [ # # # # ]: 0 : if (ix < 0x7f800000 && iy < 0x7f800000) {
57 [ # # ]: 0 : if (iy == 0)
58 : 0 : return (CMPLXF(sinhf(x), y));
59 [ # # ]: 0 : if (ix < 0x41100000) /* small x: normal case */
60 : 0 : return (CMPLXF(sinhf(x) * cosf(y), coshf(x) * sinf(y)));
61 : :
62 : : /* |x| >= 9, so cosh(x) ~= exp(|x|) */
63 [ # # ]: 0 : if (ix < 0x42b17218) {
64 : : /* x < 88.7: expf(|x|) won't overflow */
65 : 0 : h = expf(fabsf(x)) * 0.5f;
66 : 0 : return (CMPLXF(copysignf(h, x) * cosf(y), h * sinf(y)));
67 [ # # ]: 0 : } else if (ix < 0x4340b1e7) {
68 : : /* x < 192.7: scale to avoid overflow */
69 : 0 : z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
70 : 0 : return (CMPLXF(crealf(z) * copysignf(1, x), cimagf(z)));
71 : : } else {
72 : : /* x >= 192.7: the result always overflows */
73 : 0 : h = huge * x;
74 : 0 : return (CMPLXF(h * cosf(y), h * h * sinf(y)));
75 : : }
76 : : }
77 : :
78 [ # # # # ]: 0 : if (ix == 0 && iy >= 0x7f800000)
79 : 0 : return (CMPLXF(copysignf(0, x * (y - y)), y - y));
80 : :
81 [ # # # # ]: 0 : if (iy == 0 && ix >= 0x7f800000) {
82 [ # # ]: 0 : if ((hx & 0x7fffff) == 0)
83 : 0 : return (CMPLXF(x, y));
84 : 0 : return (CMPLXF(x, copysignf(0, y)));
85 : : }
86 : :
87 [ # # # # ]: 0 : if (ix < 0x7f800000 && iy >= 0x7f800000)
88 : 0 : return (CMPLXF(y - y, x * (y - y)));
89 : :
90 [ # # # # ]: 0 : if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) {
91 [ # # ]: 0 : if (iy >= 0x7f800000)
92 : 0 : return (CMPLXF(x * x, x * (y - y)));
93 : 0 : return (CMPLXF(x * cosf(y), INFINITY * sinf(y)));
94 : : }
95 : :
96 : 0 : return (CMPLXF((x * x) * (y - y), (x + x) * (y - y)));
97 : : }
98 : :
99 : : OLM_DLLEXPORT float complex
100 : 0 : csinf(float complex z)
101 : : {
102 : :
103 : 0 : z = csinhf(CMPLXF(-cimagf(z), crealf(z)));
104 : 0 : return (CMPLXF(cimagf(z), -crealf(z)));
105 : : }
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