xref: /third_party/musl/libc-test/src/math/ucb/tan.h (revision 570af302)
1// Copyright (C) 1988-1994 Sun Microsystems, Inc. 2550 Garcia Avenue
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37// tand(+-max)
38// tand(tiny) is tiny
39T(RN,                 0x1p-30,                 0x1p-30, -0x1.555556p-10, INEXACT)
40T(RN,                -0x1p-30,                -0x1p-30,  0x1.555556p-10, INEXACT)
41T(RN,               0x1p-1022,               0x1p-1022,          0x0p+0, INEXACT)
42T(RN,              -0x1p-1022,              -0x1p-1022,          0x0p+0, INEXACT)
43T(RN,               0x1p-1074,               0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
44T(RN,              -0x1p-1074,              -0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
45T(RN,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
46T(RN,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
47T(RZ,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
48T(RZ,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
49T(RU,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
50T(RU,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
51T(RD,                  0x0p+0,                  0x0p+0,          0x0p+0, 0)
52T(RD,                 -0x0p+0,                 -0x0p+0,          0x0p+0, 0)
53// tand(nan or inf) is nan
54T(RN,                     inf,                     nan,          0x0p+0, INVALID)
55T(RN,                    -inf,                     nan,          0x0p+0, INVALID)
56T(RN,                     nan,                     nan,          0x0p+0, 0)
57T(RN,                     nan,                     nan,          0x0p+0, 0)
58// tand(+-pi/4) is +-1 within 16 ulp
59T(RN,    0x1.921fb54442d18p-1,    0x1.fffffffffffffp-1,  -0x1.cb3b3ap-2, INEXACT)
60T(RN,   -0x1.921fb54442d18p-1,   -0x1.fffffffffffffp-1,   0x1.cb3b3ap-2, INEXACT)
61T(RZ,    0x1.921fb54442d18p-1,    0x1.fffffffffffffp-1,  -0x1.cb3b3ap-2, INEXACT)
62T(RZ,   -0x1.921fb54442d18p-1,   -0x1.fffffffffffffp-1,   0x1.cb3b3ap-2, INEXACT)
63T(RU,    0x1.921fb54442d18p-1,                  0x1p+0,   0x1.1a6264p-2, INEXACT)
64T(RU,   -0x1.921fb54442d18p-1,   -0x1.fffffffffffffp-1,   0x1.cb3b3ap-2, INEXACT)
65T(RD,    0x1.921fb54442d18p-1,    0x1.fffffffffffffp-1,  -0x1.cb3b3ap-2, INEXACT)
66T(RD,   -0x1.921fb54442d18p-1,                 -0x1p+0,  -0x1.1a6264p-2, INEXACT)
67T(RD,               0x1p-1022,               0x1p-1022,          0x0p+0, INEXACT)
68T(RD, 0x1.0000000000001p-1022, 0x1.0000000000001p-1022,          0x0p+0, INEXACT)
69T(RD, 0x1.0000000000002p-1022, 0x1.0000000000002p-1022,          0x0p+0, INEXACT)
70T(RD, 0x1.ffffffffffffbp-1022, 0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
71T(RD,               0x1p-1021,               0x1p-1021,          0x0p+0, INEXACT)
72T(RD, 0x1.0000000000003p-1021, 0x1.0000000000003p-1021,          0x0p+0, INEXACT)
73T(RD,               0x1p-1020,               0x1p-1020,          0x0p+0, INEXACT)
74T(RD,               0x1.8p-27,               0x1.8p-27,       -0x1.2p-2, INEXACT)
75T(RD,                 0x1p-26,                 0x1p-26,  -0x1.555556p-2, INEXACT)
76T(RD,               0x1p-1074,               0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
77T(RD,               0x1p-1073,               0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
78T(RD,             0x1.2p-1071,             0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
79T(RD,               0x1p-1024,               0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
80T(RD,               0x1p-1023,               0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
81T(RD, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
82T(RD, 0x1.ffffffffffffep-1023, 0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
83T(RD,                     nan,                     nan,          0x0p+0, 0)
84T(RD,                     nan,                     nan,          0x0p+0, 0)
85T(RD,                     inf,                     nan,          0x0p+0, INVALID)
86T(RD,                    -inf,                     nan,          0x0p+0, INVALID)
87T(RD,              -0x1p-1022,-0x1.0000000000001p-1022,         -0x1p+0, INEXACT)
88T(RD,-0x1.0000000000001p-1022,-0x1.0000000000002p-1022,         -0x1p+0, INEXACT)
89T(RD,-0x1.0000000000002p-1022,-0x1.0000000000003p-1022,         -0x1p+0, INEXACT)
90T(RD,              -0x1p-1021,-0x1.0000000000001p-1021,         -0x1p+0, INEXACT)
91T(RD,              -0x1p-1020,-0x1.0000000000001p-1020,         -0x1p+0, INEXACT)
92T(RD,              -0x1.8p-27,  -0x1.8000000000001p-27,       -0x1.7p-1, INEXACT)
93T(RD,                -0x1p-26,  -0x1.0000000000001p-26,  -0x1.555556p-1, INEXACT)
94T(RD,              -0x1p-1074,              -0x1p-1073,         -0x1p+0, INEXACT|UNDERFLOW)
95T(RD,              -0x1p-1073,            -0x1.8p-1073,         -0x1p+0, INEXACT|UNDERFLOW)
96T(RD,              -0x1p-1024,-0x1.0000000000004p-1024,         -0x1p+0, INEXACT|UNDERFLOW)
97T(RD,              -0x1p-1023,-0x1.0000000000002p-1023,         -0x1p+0, INEXACT|UNDERFLOW)
98T(RD,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffep-1023,         -0x1p+0, INEXACT|UNDERFLOW)
99T(RD,-0x1.ffffffffffffep-1023,              -0x1p-1022,         -0x1p+0, INEXACT|UNDERFLOW)
100T(RN, 0x1.0000000000001p-1022, 0x1.0000000000001p-1022,          0x0p+0, INEXACT)
101T(RN, 0x1.0000000000002p-1022, 0x1.0000000000002p-1022,          0x0p+0, INEXACT)
102T(RN, 0x1.ffffffffffffbp-1022, 0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
103T(RN,               0x1p-1021,               0x1p-1021,          0x0p+0, INEXACT)
104T(RN, 0x1.0000000000003p-1021, 0x1.0000000000003p-1021,          0x0p+0, INEXACT)
105T(RN,               0x1p-1020,               0x1p-1020,          0x0p+0, INEXACT)
106T(RN,               0x1.8p-27,               0x1.8p-27,       -0x1.2p-2, INEXACT)
107T(RN,                 0x1p-26,                 0x1p-26,  -0x1.555556p-2, INEXACT)
108T(RN,-0x1.0000000000001p-1022,-0x1.0000000000001p-1022,          0x0p+0, INEXACT)
109T(RN,-0x1.0000000000002p-1022,-0x1.0000000000002p-1022,          0x0p+0, INEXACT)
110T(RN,-0x1.ffffffffffffbp-1022,-0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
111T(RN,              -0x1p-1021,              -0x1p-1021,          0x0p+0, INEXACT)
112T(RN,-0x1.0000000000003p-1021,-0x1.0000000000003p-1021,          0x0p+0, INEXACT)
113T(RN,              -0x1p-1020,              -0x1p-1020,          0x0p+0, INEXACT)
114T(RN,              -0x1.8p-27,              -0x1.8p-27,        0x1.2p-2, INEXACT)
115T(RN,                -0x1p-26,                -0x1p-26,   0x1.555556p-2, INEXACT)
116T(RN,               0x1p-1073,               0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
117T(RN,             0x1.2p-1071,             0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
118T(RN,               0x1p-1024,               0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
119T(RN,               0x1p-1023,               0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
120T(RN, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
121T(RN, 0x1.ffffffffffffep-1023, 0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
122T(RN,              -0x1p-1073,              -0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
123T(RN,            -0x1.2p-1071,            -0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
124T(RN,              -0x1p-1024,              -0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
125T(RN,              -0x1p-1023,              -0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
126T(RN,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
127T(RN,-0x1.ffffffffffffep-1023,-0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
128T(RU,              -0x1p-1022,              -0x1p-1022,          0x0p+0, INEXACT)
129T(RU,-0x1.0000000000001p-1022,-0x1.0000000000001p-1022,          0x0p+0, INEXACT)
130T(RU,-0x1.0000000000002p-1022,-0x1.0000000000002p-1022,          0x0p+0, INEXACT)
131T(RU,-0x1.ffffffffffffbp-1022,-0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
132T(RU,              -0x1p-1021,              -0x1p-1021,          0x0p+0, INEXACT)
133T(RU,-0x1.0000000000003p-1021,-0x1.0000000000003p-1021,          0x0p+0, INEXACT)
134T(RU,              -0x1p-1020,              -0x1p-1020,          0x0p+0, INEXACT)
135T(RU,              -0x1.8p-27,              -0x1.8p-27,        0x1.2p-2, INEXACT)
136T(RU,                -0x1p-26,                -0x1p-26,   0x1.555556p-2, INEXACT)
137T(RU,              -0x1p-1074,              -0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
138T(RU,              -0x1p-1073,              -0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
139T(RU,            -0x1.2p-1071,            -0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
140T(RU,              -0x1p-1024,              -0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
141T(RU,              -0x1p-1023,              -0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
142T(RU,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
143T(RU,-0x1.ffffffffffffep-1023,-0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
144T(RU,                     nan,                     nan,          0x0p+0, 0)
145T(RU,                     nan,                     nan,          0x0p+0, 0)
146T(RU,                     inf,                     nan,          0x0p+0, INVALID)
147T(RU,                    -inf,                     nan,          0x0p+0, INVALID)
148T(RU,               0x1p-1022, 0x1.0000000000001p-1022,          0x1p+0, INEXACT)
149T(RU, 0x1.0000000000001p-1022, 0x1.0000000000002p-1022,          0x1p+0, INEXACT)
150T(RU, 0x1.0000000000002p-1022, 0x1.0000000000003p-1022,          0x1p+0, INEXACT)
151T(RU,               0x1p-1021, 0x1.0000000000001p-1021,          0x1p+0, INEXACT)
152T(RU,               0x1p-1020, 0x1.0000000000001p-1020,          0x1p+0, INEXACT)
153T(RU,               0x1.8p-27,   0x1.8000000000001p-27,        0x1.7p-1, INEXACT)
154T(RU,                 0x1p-26,   0x1.0000000000001p-26,   0x1.555556p-1, INEXACT)
155T(RU,               0x1p-1074,               0x1p-1073,          0x1p+0, INEXACT|UNDERFLOW)
156T(RU,               0x1p-1073,             0x1.8p-1073,          0x1p+0, INEXACT|UNDERFLOW)
157T(RU,               0x1p-1024, 0x1.0000000000004p-1024,          0x1p+0, INEXACT|UNDERFLOW)
158T(RU,               0x1p-1023, 0x1.0000000000002p-1023,          0x1p+0, INEXACT|UNDERFLOW)
159T(RU, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffep-1023,          0x1p+0, INEXACT|UNDERFLOW)
160T(RU, 0x1.ffffffffffffep-1023,               0x1p-1022,          0x1p+0, INEXACT|UNDERFLOW)
161T(RZ,               0x1p-1022,               0x1p-1022,          0x0p+0, INEXACT)
162T(RZ, 0x1.0000000000001p-1022, 0x1.0000000000001p-1022,          0x0p+0, INEXACT)
163T(RZ, 0x1.0000000000002p-1022, 0x1.0000000000002p-1022,          0x0p+0, INEXACT)
164T(RZ, 0x1.ffffffffffffbp-1022, 0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
165T(RZ,               0x1p-1021,               0x1p-1021,          0x0p+0, INEXACT)
166T(RZ, 0x1.0000000000003p-1021, 0x1.0000000000003p-1021,          0x0p+0, INEXACT)
167T(RZ,               0x1p-1020,               0x1p-1020,          0x0p+0, INEXACT)
168T(RZ,               0x1.8p-27,               0x1.8p-27,       -0x1.2p-2, INEXACT)
169T(RZ,                 0x1p-26,                 0x1p-26,  -0x1.555556p-2, INEXACT)
170T(RZ,              -0x1p-1022,              -0x1p-1022,          0x0p+0, INEXACT)
171T(RZ,-0x1.0000000000001p-1022,-0x1.0000000000001p-1022,          0x0p+0, INEXACT)
172T(RZ,-0x1.0000000000002p-1022,-0x1.0000000000002p-1022,          0x0p+0, INEXACT)
173T(RZ,-0x1.ffffffffffffbp-1022,-0x1.ffffffffffffbp-1022,          0x0p+0, INEXACT)
174T(RZ,              -0x1p-1021,              -0x1p-1021,          0x0p+0, INEXACT)
175T(RZ,-0x1.0000000000003p-1021,-0x1.0000000000003p-1021,          0x0p+0, INEXACT)
176T(RZ,              -0x1p-1020,              -0x1p-1020,          0x0p+0, INEXACT)
177T(RZ,              -0x1.8p-27,              -0x1.8p-27,        0x1.2p-2, INEXACT)
178T(RZ,                -0x1p-26,                -0x1p-26,   0x1.555556p-2, INEXACT)
179T(RZ,               0x1p-1074,               0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
180T(RZ,               0x1p-1073,               0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
181T(RZ,             0x1.2p-1071,             0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
182T(RZ,               0x1p-1024,               0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
183T(RZ,               0x1p-1023,               0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
184T(RZ, 0x1.ffffffffffffcp-1023, 0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
185T(RZ, 0x1.ffffffffffffep-1023, 0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
186T(RZ,              -0x1p-1074,              -0x1p-1074,          0x0p+0, INEXACT|UNDERFLOW)
187T(RZ,              -0x1p-1073,              -0x1p-1073,          0x0p+0, INEXACT|UNDERFLOW)
188T(RZ,            -0x1.2p-1071,            -0x1.2p-1071,          0x0p+0, INEXACT|UNDERFLOW)
189T(RZ,              -0x1p-1024,              -0x1p-1024,          0x0p+0, INEXACT|UNDERFLOW)
190T(RZ,              -0x1p-1023,              -0x1p-1023,          0x0p+0, INEXACT|UNDERFLOW)
191T(RZ,-0x1.ffffffffffffcp-1023,-0x1.ffffffffffffcp-1023,          0x0p+0, INEXACT|UNDERFLOW)
192T(RZ,-0x1.ffffffffffffep-1023,-0x1.ffffffffffffep-1023,          0x0p+0, INEXACT|UNDERFLOW)
193T(RZ,                     nan,                     nan,          0x0p+0, 0)
194T(RZ,                     nan,                     nan,          0x0p+0, 0)
195T(RZ,                     inf,                     nan,          0x0p+0, INVALID)
196T(RZ,                    -inf,                     nan,          0x0p+0, INVALID)
197