more pow(0,-inf) fixes
[libc-test] / src / math / ucb / tan.h
1 // Copyright (C) 1988-1994 Sun Microsystems, Inc. 2550 Garcia Avenue
2 // Mountain View, California  94043 All rights reserved.
3 //
4 // Any person is hereby authorized to download, copy, use, create bug fixes,
5 // and distribute, subject to the following conditions:
6 //
7 //      1.  the software may not be redistributed for a fee except as
8 //          reasonable to cover media costs;
9 //      2.  any copy of the software must include this notice, as well as
10 //          any other embedded copyright notices; and
11 //      3.  any distribution of this software or derivative works thereof
12 //          must comply with all applicable U.S. export control laws.
13 //
14 // THE SOFTWARE IS MADE AVAILABLE "AS IS" AND WITHOUT EXPRESS OR IMPLIED
15 // WARRANTY OF ANY KIND, INCLUDING BUT NOT LIMITED TO THE IMPLIED
16 // WARRANTIES OF DESIGN, MERCHANTIBILITY, FITNESS FOR A PARTICULAR
17 // PURPOSE, NON-INFRINGEMENT, PERFORMANCE OR CONFORMANCE TO
18 // SPECIFICATIONS.
19 //
20 // BY DOWNLOADING AND/OR USING THIS SOFTWARE, THE USER WAIVES ALL CLAIMS
21 // AGAINST SUN MICROSYSTEMS, INC. AND ITS AFFILIATED COMPANIES IN ANY
22 // JURISDICTION, INCLUDING BUT NOT LIMITED TO CLAIMS FOR DAMAGES OR
23 // EQUITABLE RELIEF BASED ON LOSS OF DATA, AND SPECIFICALLY WAIVES EVEN
24 // UNKNOWN OR UNANTICIPATED CLAIMS OR LOSSES, PRESENT AND FUTURE.
25 //
26 // IN NO EVENT WILL SUN MICROSYSTEMS, INC. OR ANY OF ITS AFFILIATED
27 // COMPANIES BE LIABLE FOR ANY LOST REVENUE OR PROFITS OR OTHER SPECIAL,
28 // INDIRECT AND CONSEQUENTIAL DAMAGES, EVEN IF IT HAS BEEN ADVISED OF THE
29 // POSSIBILITY OF SUCH DAMAGES.
30 //
31 // This file is provided with no support and without any obligation on the
32 // part of Sun Microsystems, Inc. ("Sun") or any of its affiliated
33 // companies to assist in its use, correction, modification or
34 // enhancement.  Nevertheless, and without creating any obligation on its
35 // part, Sun welcomes your comments concerning the software and requests
36 // that they be sent to fdlibm-comments@sunpro.sun.com.
37 // tand(+-max)
38 // tand(tiny) is tiny
39 T(RN,                 0x1p-30,                 0x1p-30, -0x1.555556p-10, INEXACT)
40 T(RN,                -0x1p-30,                -0x1p-30,  0x1.555556p-10, INEXACT)
41 T(RN,               0x1p-1022,               0x1p-1022,          0x0p+0, INEXACT)
42 T(RN,              -0x1p-1022,              -0x1p-1022,          0x0p+0, INEXACT)
43 T(RN,               0x1p-1074,               0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
44 T(RN,              -0x1p-1074,              -0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
45 T(RN,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
46 T(RN,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
47 T(RZ,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
48 T(RZ,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
49 T(RU,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
50 T(RU,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
51 T(RD,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
52 T(RD,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
53 // tand(nan or inf) is nan
54 T(RN,                     inf,                     nan,          0x0p+0, INVALID)
55 T(RN,                    -inf,                     nan,          0x0p+0, INVALID)
56 T(RN,                     nan,                     nan,          0x0p+0, 0)
57 T(RN,                     nan,                     nan,          0x0p+0, 0)
58 // tand(+-pi/4) is +-1 within 16 ulp
59 T(RN,    0x1.921fb54442d18p-1,    0x1.fffffffffffffp-1,  -0x1.cb3b3ap-2, INEXACT)
60 T(RN,   -0x1.921fb54442d18p-1,   -0x1.fffffffffffffp-1,   0x1.cb3b3ap-2, INEXACT)
61 T(RZ,    0x1.921fb54442d18p-1,    0x1.fffffffffffffp-1,  -0x1.cb3b3ap-2, INEXACT)
62 T(RZ,   -0x1.921fb54442d18p-1,   -0x1.fffffffffffffp-1,   0x1.cb3b3ap-2, INEXACT)
63 T(RU,    0x1.921fb54442d18p-1,                  0x1p+0,   0x1.1a6264p-2, INEXACT)
64 T(RU,   -0x1.921fb54442d18p-1,   -0x1.fffffffffffffp-1,   0x1.cb3b3ap-2, INEXACT)
65 T(RD,    0x1.921fb54442d18p-1,    0x1.fffffffffffffp-1,  -0x1.cb3b3ap-2, INEXACT)
66 T(RD,   -0x1.921fb54442d18p-1,                 -0x1p+0,  -0x1.1a6264p-2, INEXACT)
67 T(RD,               0x1p-1022,               0x1p-1022,          0x0p+0, INEXACT)
68 T(RD, 0x1.0000000000001p-1022, 0x1.0000000000001p-1022,          0x0p+0, INEXACT)
69 T(RD, 0x1.0000000000002p-1022, 0x1.0000000000002p-1022,          0x0p+0, INEXACT)
70 T(RD, 0x1.ffffffffffffbp-1022, 0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
71 T(RD,               0x1p-1021,               0x1p-1021,          0x0p+0, INEXACT)
72 T(RD, 0x1.0000000000003p-1021, 0x1.0000000000003p-1021,          0x0p+0, INEXACT)
73 T(RD,               0x1p-1020,               0x1p-1020,          0x0p+0, INEXACT)
74 T(RD,               0x1.8p-27,               0x1.8p-27,       -0x1.2p-2, INEXACT)
75 T(RD,                 0x1p-26,                 0x1p-26,  -0x1.555556p-2, INEXACT)
76 T(RD,               0x1p-1074,               0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
77 T(RD,               0x1p-1073,               0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
78 T(RD,             0x1.2p-1071,             0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
79 T(RD,               0x1p-1024,               0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
80 T(RD,               0x1p-1023,               0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
81 T(RD, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
82 T(RD, 0x1.ffffffffffffep-1023, 0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
83 T(RD,                     nan,                     nan,          0x0p+0, 0)
84 T(RD,                     nan,                     nan,          0x0p+0, 0)
85 T(RD,                     inf,                     nan,          0x0p+0, INVALID)
86 T(RD,                    -inf,                     nan,          0x0p+0, INVALID)
87 T(RD,              -0x1p-1022,-0x1.0000000000001p-1022,         -0x1p+0, INEXACT)
88 T(RD,-0x1.0000000000001p-1022,-0x1.0000000000002p-1022,         -0x1p+0, INEXACT)
89 T(RD,-0x1.0000000000002p-1022,-0x1.0000000000003p-1022,         -0x1p+0, INEXACT)
90 T(RD,              -0x1p-1021,-0x1.0000000000001p-1021,         -0x1p+0, INEXACT)
91 T(RD,              -0x1p-1020,-0x1.0000000000001p-1020,         -0x1p+0, INEXACT)
92 T(RD,              -0x1.8p-27,  -0x1.8000000000001p-27,       -0x1.7p-1, INEXACT)
93 T(RD,                -0x1p-26,  -0x1.0000000000001p-26,  -0x1.555556p-1, INEXACT)
94 T(RD,              -0x1p-1074,              -0x1p-1073,         -0x1p+0, INEXACT|UNDERFLOW)
95 T(RD,              -0x1p-1073,            -0x1.8p-1073,         -0x1p+0, INEXACT|UNDERFLOW)
96 T(RD,              -0x1p-1024,-0x1.0000000000004p-1024,         -0x1p+0, INEXACT|UNDERFLOW)
97 T(RD,              -0x1p-1023,-0x1.0000000000002p-1023,         -0x1p+0, INEXACT|UNDERFLOW)
98 T(RD,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffep-1023,         -0x1p+0, INEXACT|UNDERFLOW)
99 T(RD,-0x1.ffffffffffffep-1023,              -0x1p-1022,         -0x1p+0, INEXACT|UNDERFLOW)
100 T(RN, 0x1.0000000000001p-1022, 0x1.0000000000001p-1022,          0x0p+0, INEXACT)
101 T(RN, 0x1.0000000000002p-1022, 0x1.0000000000002p-1022,          0x0p+0, INEXACT)
102 T(RN, 0x1.ffffffffffffbp-1022, 0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
103 T(RN,               0x1p-1021,               0x1p-1021,          0x0p+0, INEXACT)
104 T(RN, 0x1.0000000000003p-1021, 0x1.0000000000003p-1021,          0x0p+0, INEXACT)
105 T(RN,               0x1p-1020,               0x1p-1020,          0x0p+0, INEXACT)
106 T(RN,               0x1.8p-27,               0x1.8p-27,       -0x1.2p-2, INEXACT)
107 T(RN,                 0x1p-26,                 0x1p-26,  -0x1.555556p-2, INEXACT)
108 T(RN,-0x1.0000000000001p-1022,-0x1.0000000000001p-1022,          0x0p+0, INEXACT)
109 T(RN,-0x1.0000000000002p-1022,-0x1.0000000000002p-1022,          0x0p+0, INEXACT)
110 T(RN,-0x1.ffffffffffffbp-1022,-0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
111 T(RN,              -0x1p-1021,              -0x1p-1021,          0x0p+0, INEXACT)
112 T(RN,-0x1.0000000000003p-1021,-0x1.0000000000003p-1021,          0x0p+0, INEXACT)
113 T(RN,              -0x1p-1020,              -0x1p-1020,          0x0p+0, INEXACT)
114 T(RN,              -0x1.8p-27,              -0x1.8p-27,        0x1.2p-2, INEXACT)
115 T(RN,                -0x1p-26,                -0x1p-26,   0x1.555556p-2, INEXACT)
116 T(RN,               0x1p-1073,               0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
117 T(RN,             0x1.2p-1071,             0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
118 T(RN,               0x1p-1024,               0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
119 T(RN,               0x1p-1023,               0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
120 T(RN, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
121 T(RN, 0x1.ffffffffffffep-1023, 0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
122 T(RN,              -0x1p-1073,              -0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
123 T(RN,            -0x1.2p-1071,            -0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
124 T(RN,              -0x1p-1024,              -0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
125 T(RN,              -0x1p-1023,              -0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
126 T(RN,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
127 T(RN,-0x1.ffffffffffffep-1023,-0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
128 T(RU,              -0x1p-1022,              -0x1p-1022,          0x0p+0, INEXACT)
129 T(RU,-0x1.0000000000001p-1022,-0x1.0000000000001p-1022,          0x0p+0, INEXACT)
130 T(RU,-0x1.0000000000002p-1022,-0x1.0000000000002p-1022,          0x0p+0, INEXACT)
131 T(RU,-0x1.ffffffffffffbp-1022,-0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
132 T(RU,              -0x1p-1021,              -0x1p-1021,          0x0p+0, INEXACT)
133 T(RU,-0x1.0000000000003p-1021,-0x1.0000000000003p-1021,          0x0p+0, INEXACT)
134 T(RU,              -0x1p-1020,              -0x1p-1020,          0x0p+0, INEXACT)
135 T(RU,              -0x1.8p-27,              -0x1.8p-27,        0x1.2p-2, INEXACT)
136 T(RU,                -0x1p-26,                -0x1p-26,   0x1.555556p-2, INEXACT)
137 T(RU,              -0x1p-1074,              -0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
138 T(RU,              -0x1p-1073,              -0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
139 T(RU,            -0x1.2p-1071,            -0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
140 T(RU,              -0x1p-1024,              -0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
141 T(RU,              -0x1p-1023,              -0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
142 T(RU,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
143 T(RU,-0x1.ffffffffffffep-1023,-0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
144 T(RU,                     nan,                     nan,          0x0p+0, 0)
145 T(RU,                     nan,                     nan,          0x0p+0, 0)
146 T(RU,                     inf,                     nan,          0x0p+0, INVALID)
147 T(RU,                    -inf,                     nan,          0x0p+0, INVALID)
148 T(RU,               0x1p-1022, 0x1.0000000000001p-1022,          0x1p+0, INEXACT)
149 T(RU, 0x1.0000000000001p-1022, 0x1.0000000000002p-1022,          0x1p+0, INEXACT)
150 T(RU, 0x1.0000000000002p-1022, 0x1.0000000000003p-1022,          0x1p+0, INEXACT)
151 T(RU,               0x1p-1021, 0x1.0000000000001p-1021,          0x1p+0, INEXACT)
152 T(RU,               0x1p-1020, 0x1.0000000000001p-1020,          0x1p+0, INEXACT)
153 T(RU,               0x1.8p-27,   0x1.8000000000001p-27,        0x1.7p-1, INEXACT)
154 T(RU,                 0x1p-26,   0x1.0000000000001p-26,   0x1.555556p-1, INEXACT)
155 T(RU,               0x1p-1074,               0x1p-1073,          0x1p+0, INEXACT|UNDERFLOW)
156 T(RU,               0x1p-1073,             0x1.8p-1073,          0x1p+0, INEXACT|UNDERFLOW)
157 T(RU,               0x1p-1024, 0x1.0000000000004p-1024,          0x1p+0, INEXACT|UNDERFLOW)
158 T(RU,               0x1p-1023, 0x1.0000000000002p-1023,          0x1p+0, INEXACT|UNDERFLOW)
159 T(RU, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffep-1023,          0x1p+0, INEXACT|UNDERFLOW)
160 T(RU, 0x1.ffffffffffffep-1023,               0x1p-1022,          0x1p+0, INEXACT|UNDERFLOW)
161 T(RZ,               0x1p-1022,               0x1p-1022,          0x0p+0, INEXACT)
162 T(RZ, 0x1.0000000000001p-1022, 0x1.0000000000001p-1022,          0x0p+0, INEXACT)
163 T(RZ, 0x1.0000000000002p-1022, 0x1.0000000000002p-1022,          0x0p+0, INEXACT)
164 T(RZ, 0x1.ffffffffffffbp-1022, 0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
165 T(RZ,               0x1p-1021,               0x1p-1021,          0x0p+0, INEXACT)
166 T(RZ, 0x1.0000000000003p-1021, 0x1.0000000000003p-1021,          0x0p+0, INEXACT)
167 T(RZ,               0x1p-1020,               0x1p-1020,          0x0p+0, INEXACT)
168 T(RZ,               0x1.8p-27,               0x1.8p-27,       -0x1.2p-2, INEXACT)
169 T(RZ,                 0x1p-26,                 0x1p-26,  -0x1.555556p-2, INEXACT)
170 T(RZ,              -0x1p-1022,              -0x1p-1022,          0x0p+0, INEXACT)
171 T(RZ,-0x1.0000000000001p-1022,-0x1.0000000000001p-1022,          0x0p+0, INEXACT)
172 T(RZ,-0x1.0000000000002p-1022,-0x1.0000000000002p-1022,          0x0p+0, INEXACT)
173 T(RZ,-0x1.ffffffffffffbp-1022,-0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
174 T(RZ,              -0x1p-1021,              -0x1p-1021,          0x0p+0, INEXACT)
175 T(RZ,-0x1.0000000000003p-1021,-0x1.0000000000003p-1021,          0x0p+0, INEXACT)
176 T(RZ,              -0x1p-1020,              -0x1p-1020,          0x0p+0, INEXACT)
177 T(RZ,              -0x1.8p-27,              -0x1.8p-27,        0x1.2p-2, INEXACT)
178 T(RZ,                -0x1p-26,                -0x1p-26,   0x1.555556p-2, INEXACT)
179 T(RZ,               0x1p-1074,               0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
180 T(RZ,               0x1p-1073,               0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
181 T(RZ,             0x1.2p-1071,             0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
182 T(RZ,               0x1p-1024,               0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
183 T(RZ,               0x1p-1023,               0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
184 T(RZ, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
185 T(RZ, 0x1.ffffffffffffep-1023, 0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
186 T(RZ,              -0x1p-1074,              -0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
187 T(RZ,              -0x1p-1073,              -0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
188 T(RZ,            -0x1.2p-1071,            -0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
189 T(RZ,              -0x1p-1024,              -0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
190 T(RZ,              -0x1p-1023,              -0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
191 T(RZ,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
192 T(RZ,-0x1.ffffffffffffep-1023,-0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
193 T(RZ,                     nan,                     nan,          0x0p+0, 0)
194 T(RZ,                     nan,                     nan,          0x0p+0, 0)
195 T(RZ,                     inf,                     nan,          0x0p+0, INVALID)
196 T(RZ,                    -inf,                     nan,          0x0p+0, INVALID)