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5261 libm should stop using synonyms.h
5298 fabs is 0-sized, confuses dis(1) and others
Reviewed by: Josef 'Jeff' Sipek <jeffpc@josefsipek.net>
Approved by: Gordon Ross <gwr@nexenta.com>
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--- old/usr/src/lib/libm/common/complex/ctanhl.c
+++ new/usr/src/lib/libm/common/complex/ctanhl.c
1 1 /*
2 2 * CDDL HEADER START
3 3 *
4 4 * The contents of this file are subject to the terms of the
5 5 * Common Development and Distribution License (the "License").
6 6 * You may not use this file except in compliance with the License.
7 7 *
8 8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9 9 * or http://www.opensolaris.org/os/licensing.
10 10 * See the License for the specific language governing permissions
11 11 * and limitations under the License.
12 12 *
13 13 * When distributing Covered Code, include this CDDL HEADER in each
14 14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15 15 * If applicable, add the following below this CDDL HEADER, with the
16 16 * fields enclosed by brackets "[]" replaced with your own identifying
17 17 * information: Portions Copyright [yyyy] [name of copyright owner]
18 18 *
19 19 * CDDL HEADER END
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20 20 */
21 21
22 22 /*
23 23 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
24 24 */
25 25 /*
26 26 * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
27 27 * Use is subject to license terms.
28 28 */
29 29
30 -#pragma weak ctanhl = __ctanhl
30 +#pragma weak __ctanhl = ctanhl
31 31
32 32 #include "libm.h" /* expl/expm1l/fabsl/isinfl/isnanl/sincosl/sinl/tanhl */
33 33 #include "complex_wrapper.h"
34 34 #include "longdouble.h"
35 35
36 36 /* INDENT OFF */
37 37 static const long double four = 4.0L, two = 2.0L, one = 1.0L, zero = 0.0L;
38 38 /* INDENT ON */
39 39
40 40 ldcomplex
41 41 ctanhl(ldcomplex z) {
42 42 long double r, u, v, t, x, y, S, C;
43 43 int hx, ix, hy, iy;
44 44 ldcomplex ans;
45 45
46 46 x = LD_RE(z);
47 47 y = LD_IM(z);
48 48 hx = HI_XWORD(x);
49 49 ix = hx & 0x7fffffff;
50 50 hy = HI_XWORD(y);
51 51 iy = hy & 0x7fffffff;
52 52 x = fabsl(x);
53 53 y = fabsl(y);
54 54
55 55 if (y == zero) { /* ctanh(x,0) = (x,0) for x = 0 or NaN */
56 56 LD_RE(ans) = tanhl(x);
57 57 LD_IM(ans) = zero;
58 58 } else if (iy >= 0x7fff0000) { /* y is inf or NaN */
59 59 if (ix < 0x7fff0000) /* catanh(finite x,inf/nan) is nan */
60 60 LD_RE(ans) = LD_IM(ans) = y - y;
61 61 else if (isinfl(x)) { /* x is inf */
62 62 LD_RE(ans) = one;
63 63 LD_IM(ans) = zero;
64 64 } else {
65 65 LD_RE(ans) = x + y;
66 66 LD_IM(ans) = y - y;
67 67 }
68 68 } else if (ix >= 0x4004e000) {
69 69 /* INDENT OFF */
70 70 /*
71 71 * |x| > 60 = prec/2 (14,28,34,60)
72 72 * ctanh z ~ 1 + i (sin2y)/(exp(2x))
73 73 */
74 74 /* INDENT ON */
75 75 LD_RE(ans) = one;
76 76 if (iy < 0x7ffe0000) /* t = sin(2y) */
77 77 S = sinl(y + y);
78 78 else {
79 79 (void) sincosl(y, &S, &C);
80 80 S = (S + S) * C;
81 81 }
82 82 if (ix >= 0x7ffe0000) { /* |x| > max/2 */
83 83 if (ix >= 0x7fff0000) { /* |x| is inf or NaN */
84 84 if (isnanl(x)) /* x is NaN */
85 85 LD_RE(ans) = LD_IM(ans) = x + y;
86 86 else
87 87 LD_IM(ans) = zero * S; /* x is inf */
88 88 } else
89 89 LD_IM(ans) = S * expl(-x); /* underflow */
90 90 } else
91 91 LD_IM(ans) = (S + S) * expl(-(x + x));
92 92 /* 2 sin 2y / exp(2x) */
93 93 } else {
94 94 /* INDENT OFF */
95 95 /*
96 96 * t*t+2t
97 97 * ctanh z = ---------------------------
98 98 * t*t+[4(t+1)(cos y)](cos y)
99 99 *
100 100 * [4(t+1)(cos y)]*(sin y)
101 101 * i --------------------------
102 102 * t*t+[4(t+1)(cos y)](cos y)
103 103 */
104 104 /* INDENT ON */
105 105 sincosl(y, &S, &C);
106 106 t = expm1l(x + x);
107 107 r = (four * C) * (t + one);
108 108 u = t * t;
109 109 v = one / (u + r * C);
110 110 LD_RE(ans) = (u + two * t) * v;
111 111 LD_IM(ans) = (r * S) * v;
112 112 }
113 113 if (hx < 0)
114 114 LD_RE(ans) = -LD_RE(ans);
115 115 if (hy < 0)
116 116 LD_IM(ans) = -LD_IM(ans);
117 117 return (ans);
118 118 }
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