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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/cpowf.c
+++ new/usr/src/lib/libm/common/complex/cpowf.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 *
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19 19 * CDDL HEADER END
20 20 */
21 21 /*
22 22 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
23 23 */
24 24 /*
25 25 * Copyright 2005 Sun Microsystems, Inc. All rights reserved.
26 26 * Use is subject to license terms.
27 27 */
28 28
29 -#pragma weak cpowf = __cpowf
29 +#pragma weak __cpowf = cpowf
30 30
31 31 #include "libm.h"
32 32 #include "complex_wrapper.h"
33 33
34 34 extern void sincospi(double, double *, double *);
35 35 extern void sincospif(float, float *, float *);
36 36 extern double atan2pi(double, double);
37 37 extern float atan2pif(float, float);
38 38
39 39 #if defined(__i386) && !defined(__amd64)
40 40 extern int __swapRP(int);
41 41 #endif
42 42
43 43 static const double
44 44 dpi = 3.1415926535897931160E0, /* Hex 2^ 1 * 1.921FB54442D18 */
45 45 dhalf = 0.5,
46 46 dsqrt2 = 1.41421356237309514547, /* 3FF6A09E 667F3BCD */
47 47 dinvpi = 0.3183098861837906715377675;
48 48
49 49 static const float one = 1.0F, zero = 0.0F;
50 50
51 51 #define hiinf 0x7f800000
52 52
53 53 fcomplex
54 54 cpowf(fcomplex z, fcomplex w) {
55 55 fcomplex ans;
56 56 float x, y, u, v, t, c, s;
57 57 double dx, dy, du, dv, dt, dc, ds, dp, dq, dr;
58 58 int ix, iy, hx, hy, hv, hu, iu, iv, j;
59 59
60 60 x = F_RE(z);
61 61 y = F_IM(z);
62 62 u = F_RE(w);
63 63 v = F_IM(w);
64 64 hx = THE_WORD(x);
65 65 hy = THE_WORD(y);
66 66 hu = THE_WORD(u);
67 67 hv = THE_WORD(v);
68 68 ix = hx & 0x7fffffff;
69 69 iy = hy & 0x7fffffff;
70 70 iu = hu & 0x7fffffff;
71 71 iv = hv & 0x7fffffff;
72 72
73 73 j = 0;
74 74 if (iv == 0) { /* z**(real) */
75 75 if (hu == 0x3f800000) { /* (anything) ** 1 is itself */
76 76 F_RE(ans) = x;
77 77 F_IM(ans) = y;
78 78 } else if (iu == 0) { /* (anything) ** 0 is 1 */
79 79 F_RE(ans) = one;
80 80 F_IM(ans) = zero;
81 81 } else if (iy == 0) { /* (real)**(real) */
82 82 F_IM(ans) = zero;
83 83 if (hx < 0 && ix < hiinf && iu < hiinf) {
84 84 /* -x ** u is exp(i*pi*u)*pow(x,u) */
85 85 t = powf(-x, u);
86 86 sincospif(u, &s, &c);
87 87 F_RE(ans) = (c == zero)? c: c * t;
88 88 F_IM(ans) = (s == zero)? s: s * t;
89 89 } else {
90 90 F_RE(ans) = powf(x, u);
91 91 }
92 92 } else if (ix == 0 || ix >= hiinf || iy >= hiinf) {
93 93 if (ix > hiinf || iy > hiinf || iu > hiinf) {
94 94 F_RE(ans) = F_IM(ans) = x + y + u;
95 95 } else {
96 96 v = fabsf(y);
97 97 if (ix != 0)
98 98 v += fabsf(x);
99 99 t = atan2pif(y, x);
100 100 sincospif(t * u, &s, &c);
101 101 F_RE(ans) = (c == zero)? c: c * v;
102 102 F_IM(ans) = (s == zero)? s: s * v;
103 103 }
104 104 } else if (ix == iy) { /* if |x| == |y| */
105 105 #if defined(__i386) && !defined(__amd64)
106 106 int rp = __swapRP(fp_extended);
107 107 #endif
108 108 dx = (double)x;
109 109 du = (double)u;
110 110 dt = (hx >= 0)? 0.25 : 0.75;
111 111 if (hy < 0)
112 112 dt = -dt;
113 113 dr = pow(dsqrt2 * dx, du);
114 114 sincospi(dt * du, &ds, &dc);
115 115 F_RE(ans) = (float)(dr * dc);
116 116 F_IM(ans) = (float)(dr * ds);
117 117 #if defined(__i386) && !defined(__amd64)
118 118 if (rp != fp_extended)
119 119 (void) __swapRP(rp);
120 120 #endif
121 121 } else {
122 122 j = 1;
123 123 }
124 124 if (j == 0)
125 125 return (ans);
126 126 }
127 127 if (iu >= hiinf || iv >= hiinf || ix >= hiinf || iy >= hiinf) {
128 128 /*
129 129 * non-zero imaginery part(s) with inf component(s) yields NaN
130 130 */
131 131 t = fabsf(x) + fabsf(y) + fabsf(u) + fabsf(v);
132 132 F_RE(ans) = F_IM(ans) = t - t;
133 133 } else {
134 134 #if defined(__i386) && !defined(__amd64)
135 135 int rp = __swapRP(fp_extended);
136 136 #endif
137 137 /* INDENT OFF */
138 138 /*
139 139 * r = u*log(hypot(x,y))-v*atan2(y,x),
140 140 * q = u*atan2(y,x)+v*log(hypot(x,y))
141 141 * or
142 142 * r = u*log(hypot(x,y))-v*pi*atan2pi(y,x),
143 143 * q/pi = u*atan2pi(y,x)+v*log(hypot(x,y))/pi
144 144 * ans = exp(r)*(cospi(q/pi) + i sinpi(q/pi))
145 145 */
146 146 /* INDENT ON */
147 147 dx = (double)x;
148 148 dy = (double)y;
149 149 du = (double)u;
150 150 dv = (double)v;
151 151 if (ix > 0x3f000000 && ix < 0x40000000) /* .5 < |x| < 2 */
152 152 dt = dhalf * log1p((dx - 1.0) * (dx + 1.0) + dy * dy);
153 153 else if (iy > 0x3f000000 && iy < 0x40000000) /* .5 < |y| < 2 */
154 154 dt = dhalf * log1p((dy - 1.0) * (dy + 1.0) + dx * dx);
155 155 else
156 156 dt = dhalf * log(dx * dx + dy * dy);
157 157 dp = atan2pi(dy, dx);
158 158 if (iv == 0) { /* dv = 0 */
159 159 dr = exp(du * dt);
160 160 dq = du * dp;
161 161 } else {
162 162 dr = exp(du * dt - dv * dp * dpi);
163 163 dq = du * dp + dv * dt * dinvpi;
164 164 }
165 165 sincospi(dq, &ds, &dc);
166 166 F_RE(ans) = (float)(dr * dc);
167 167 F_IM(ans) = (float)(dr * ds);
168 168 #if defined(__i386) && !defined(__amd64)
169 169 if (rp != fp_extended)
170 170 (void) __swapRP(rp);
171 171 #endif
172 172 }
173 173 return (ans);
174 174 }
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