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fix ulp check in sincosf
[libc-test.git] / src / math / ucb / asinf.h
blob6792ef361a37691e2bc5efc45bf8bcaa09d4c797
1 // Copyright (C) 1988-1994 Sun Microsystems, Inc. 2550 Garcia Avenue
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37 // asins(+-1) is +-pi/2
38 T(RN, 0x1p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
39 T(RN, -0x1p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
40 // asins(+-(1 - tiny)) :=: +-(pi/2-sqrt(2*tiny))
41 T(RN, 0x1.fffffep-1, 0x1.920914p+0, -0x1.4bb4ep-2, INEXACT)
42 T(RN, -0x1.fffffep-1, -0x1.920914p+0, 0x1.4bb4ep-2, INEXACT)
43 T(RZ, 0x1.fffffep-1, 0x1.920914p+0, -0x1.4bb4ep-2, INEXACT)
44 T(RZ, -0x1.fffffep-1, -0x1.920914p+0, 0x1.4bb4ep-2, INEXACT)
45 T(RU, 0x1.fffffep-1, 0x1.920916p+0, 0x1.5a259p-1, INEXACT)
46 T(RU, -0x1.fffffep-1, -0x1.920914p+0, 0x1.4bb4ep-2, INEXACT)
47 T(RD, 0x1.fffffep-1, 0x1.920914p+0, -0x1.4bb4ep-2, INEXACT)
48 T(RD, -0x1.fffffep-1, -0x1.920916p+0, -0x1.5a259p-1, INEXACT)
49 // asins(tiny) is tiny (only in nearest mode)
50 T(RN, 0x1.ffa2e6p-16, 0x1.ffa2e6p-16, -0x1.549b44p-9, INEXACT)
51 T(RN, -0x1.ffa2e6p-16, -0x1.ffa2e6p-16, 0x1.549b44p-9, INEXACT)
52 T(RN, 0x1p-126, 0x1p-126, 0x0p+0, INEXACT)
53 T(RN, -0x1p-126, -0x1p-126, 0x0p+0, INEXACT)
54 // asins(+-0) is +-0
55 T(RN, 0x0p+0, 0x0p+0, 0x0p+0, 0)
56 T(RN, -0x0p+0, -0x0p+0, 0x0p+0, 0)
57 T(RZ, 0x0p+0, 0x0p+0, 0x0p+0, 0)
58 T(RZ, -0x0p+0, -0x0p+0, 0x0p+0, 0)
59 T(RU, 0x0p+0, 0x0p+0, 0x0p+0, 0)
60 T(RU, -0x0p+0, -0x0p+0, 0x0p+0, 0)
61 T(RD, 0x0p+0, 0x0p+0, 0x0p+0, 0)
62 T(RD, -0x0p+0, -0x0p+0, 0x0p+0, 0)
63 // random arguments between -1 and 1
64 T(RN, -0x1.13284cp-2, -0x1.1694c4p-2, 0x1.88bdaap-6, INEXACT)
65 T(RN, 0x1.6ca8ep-1, 0x1.95d814p-1, -0x1.8cc59ep-6, INEXACT)
66 T(RN, 0x1.c2ca6p-1, 0x1.13a9e2p+0, -0x1.8c0144p-3, INEXACT)
67 T(RN, -0x1.55f12p-1, -0x1.767008p-1, -0x1.1002bep-2, INEXACT)
68 T(RN, -0x1.15679ep-2, -0x1.18ea3ep-2, 0x1.bdf0fp-3, INEXACT)
69 T(RN, -0x1.41e132p-5, -0x1.41f66ap-5, -0x1.6c33a2p-3, INEXACT)
70 T(RN, 0x1.281b0ep-1, 0x1.3bbdbap-1, 0x1.82c4ap-4, INEXACT)
71 T(RN, 0x1.b5ce34p-1, 0x1.0695bap+0, 0x1.d93dfcp-6, INEXACT)
72 T(RN, -0x1.583482p-3, -0x1.59d8b6p-3, 0x1.0e3a4p-4, INEXACT)
73 T(RN, -0x1.ea8224p-1, -0x1.47affap+0, -0x1.86a51ap-2, INEXACT)
74 // exception cases
75 T(RN, 0x1.000002p+0, nan, 0x0p+0, INVALID)
76 T(RZ, 0x1.000002p+0, nan, 0x0p+0, INVALID)
77 T(RU, 0x1.000002p+0, nan, 0x0p+0, INVALID)
78 T(RD, 0x1.000002p+0, nan, 0x0p+0, INVALID)
79 T(RN, -0x1.000002p+0, nan, 0x0p+0, INVALID)
80 T(RN, 0x1p+1, nan, 0x0p+0, INVALID)
81 T(RN, 0x1.e00002p+2, nan, 0x0p+0, INVALID)
82 T(RN, -0x1.fffffep+2, nan, 0x0p+0, INVALID)
83 T(RN, nan, nan, 0x0p+0, 0)
84 T(RN, nan, nan, 0x0p+0, 0)
85 T(RZ, nan, nan, 0x0p+0, 0)
86 T(RU, nan, nan, 0x0p+0, 0)
87 T(RD, nan, nan, 0x0p+0, 0)
88 T(RZ, nan, nan, 0x0p+0, 0)
89 T(RU, nan, nan, 0x0p+0, 0)
90 T(RD, nan, nan, 0x0p+0, 0)
91 T(RD, 0x1.000002p-126, 0x1.000002p-126, 0x0p+0, INEXACT)
92 T(RD, 0x1.000004p-126, 0x1.000004p-126, 0x0p+0, INEXACT)
93 T(RD, 0x1p-125, 0x1p-125, 0x0p+0, INEXACT)
94 T(RD, 0x1p-124, 0x1p-124, 0x0p+0, INEXACT)
95 T(RD,-0x1.000002p-126,-0x1.000004p-126, -0x1p+0, INEXACT)
96 T(RD,-0x1.000004p-126,-0x1.000006p-126, -0x1p+0, INEXACT)
97 T(RD, -0x1p-125,-0x1.000002p-125, -0x1p+0, INEXACT)
98 T(RD, -0x1p-124,-0x1.000002p-124, -0x1p+0, INEXACT)
99 T(RD, 0x1p-149, 0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
100 T(RD, 0x1p-148, 0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
101 T(RD, 0x1p-128, 0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
102 T(RD, 0x1p-127, 0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
103 T(RD, 0x1.fffff8p-127, 0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
104 T(RD, 0x1.fffffcp-127, 0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
105 T(RD, 0x1p-126, 0x1p-126, 0x0p+0, INEXACT)
106 T(RD, -0x1p-149, -0x1p-148, -0x1p+0, INEXACT|UNDERFLOW)
107 T(RD, -0x1p-148, -0x1.8p-148, -0x1p+0, INEXACT|UNDERFLOW)
108 T(RD, -0x1p-128,-0x1.000008p-128, -0x1p+0, INEXACT|UNDERFLOW)
109 T(RD, -0x1p-127,-0x1.000004p-127, -0x1p+0, INEXACT|UNDERFLOW)
110 T(RD,-0x1.fffff8p-127,-0x1.fffffcp-127, -0x1p+0, INEXACT|UNDERFLOW)
111 T(RD,-0x1.fffffcp-127, -0x1p-126, -0x1p+0, INEXACT|UNDERFLOW)
112 T(RD, -0x1p-126,-0x1.000002p-126, -0x1p+0, INEXACT)
113 T(RD, 0x1.000004p+0, nan, 0x0p+0, INVALID)
114 T(RD, 0x1p+1, nan, 0x0p+0, INVALID)
115 T(RD, 0x1p+2, nan, 0x0p+0, INVALID)
116 T(RD, 0x1p+126, nan, 0x0p+0, INVALID)
117 T(RD, 0x1p+127, nan, 0x0p+0, INVALID)
118 T(RD, 0x1.fffffcp+127, nan, 0x0p+0, INVALID)
119 T(RD, 0x1.fffffep+127, nan, 0x0p+0, INVALID)
120 T(RD, inf, nan, 0x0p+0, INVALID)
121 T(RD, -0x1.000002p+0, nan, 0x0p+0, INVALID)
122 T(RD, -0x1.000004p+0, nan, 0x0p+0, INVALID)
123 T(RD, -0x1p+1, nan, 0x0p+0, INVALID)
124 T(RD, -0x1p+2, nan, 0x0p+0, INVALID)
125 T(RD, -0x1p+126, nan, 0x0p+0, INVALID)
126 T(RD, -0x1p+127, nan, 0x0p+0, INVALID)
127 T(RD,-0x1.fffffcp+127, nan, 0x0p+0, INVALID)
128 T(RD,-0x1.fffffep+127, nan, 0x0p+0, INVALID)
129 T(RD, -inf, nan, 0x0p+0, INVALID)
130 T(RD, 0x1.8p-27, 0x1.8p-27, -0x1.2p-32, INEXACT)
131 T(RD, 0x1p-26, 0x1p-26, -0x1.555556p-32, INEXACT)
132 T(RD, 0x1p-12, 0x1p-12, -0x1.555556p-4, INEXACT)
133 T(RD, 0x1.8p-12, 0x1.8p-12, -0x1.200002p-2, INEXACT)
134 T(RD, -0x1.8p-27, -0x1.800002p-27, -0x1p+0, INEXACT)
135 T(RD, -0x1p-26, -0x1.000002p-26, -0x1p+0, INEXACT)
136 T(RD, -0x1p-12, -0x1.000002p-12, -0x1.d55556p-1, INEXACT)
137 T(RD, -0x1.8p-12, -0x1.800002p-12, -0x1.7p-1, INEXACT)
138 T(RN, 0x1.000002p-126, 0x1.000002p-126, 0x0p+0, INEXACT)
139 T(RN, 0x1.000004p-126, 0x1.000004p-126, 0x0p+0, INEXACT)
140 T(RN, 0x1p-125, 0x1p-125, 0x0p+0, INEXACT)
141 T(RN, 0x1p-124, 0x1p-124, 0x0p+0, INEXACT)
142 T(RN, 0x1.8p-27, 0x1.8p-27, -0x1.2p-32, INEXACT)
143 T(RN, 0x1p-26, 0x1p-26, -0x1.555556p-32, INEXACT)
144 T(RN, 0x1p-12, 0x1p-12, -0x1.555556p-4, INEXACT)
145 T(RN, 0x1.8p-12, 0x1.8p-12, -0x1.200002p-2, INEXACT)
146 T(RN,-0x1.000002p-126,-0x1.000002p-126, 0x0p+0, INEXACT)
147 T(RN,-0x1.000004p-126,-0x1.000004p-126, 0x0p+0, INEXACT)
148 T(RN, -0x1p-125, -0x1p-125, 0x0p+0, INEXACT)
149 T(RN, -0x1p-124, -0x1p-124, 0x0p+0, INEXACT)
150 T(RN, -0x1.8p-27, -0x1.8p-27, 0x1.2p-32, INEXACT)
151 T(RN, -0x1p-26, -0x1p-26, 0x1.555556p-32, INEXACT)
152 T(RN, -0x1p-12, -0x1p-12, 0x1.555556p-4, INEXACT)
153 T(RN, -0x1.8p-12, -0x1.8p-12, 0x1.200002p-2, INEXACT)
154 T(RN, 0x1p-149, 0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
155 T(RN, 0x1p-148, 0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
156 T(RN, 0x1p-128, 0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
157 T(RN, 0x1p-127, 0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
158 T(RN, 0x1.fffff8p-127, 0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
159 T(RN, 0x1.fffffcp-127, 0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
160 T(RN, -0x1p-149, -0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
161 T(RN, -0x1p-148, -0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
162 T(RN, -0x1p-128, -0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
163 T(RN, -0x1p-127, -0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
164 T(RN,-0x1.fffff8p-127,-0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
165 T(RN,-0x1.fffffcp-127,-0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
166 T(RN, 0x1.000004p+0, nan, 0x0p+0, INVALID)
167 T(RN, 0x1p+2, nan, 0x0p+0, INVALID)
168 T(RN, 0x1p+126, nan, 0x0p+0, INVALID)
169 T(RN, 0x1p+127, nan, 0x0p+0, INVALID)
170 T(RN, 0x1.fffffcp+127, nan, 0x0p+0, INVALID)
171 T(RN, 0x1.fffffep+127, nan, 0x0p+0, INVALID)
172 T(RN, inf, nan, 0x0p+0, INVALID)
173 T(RN, -0x1.000004p+0, nan, 0x0p+0, INVALID)
174 T(RN, -0x1p+1, nan, 0x0p+0, INVALID)
175 T(RN, -0x1p+2, nan, 0x0p+0, INVALID)
176 T(RN, -0x1p+126, nan, 0x0p+0, INVALID)
177 T(RN, -0x1p+127, nan, 0x0p+0, INVALID)
178 T(RN,-0x1.fffffcp+127, nan, 0x0p+0, INVALID)
179 T(RN,-0x1.fffffep+127, nan, 0x0p+0, INVALID)
180 T(RN, -inf, nan, 0x0p+0, INVALID)
181 T(RU, 0x1.000002p-126, 0x1.000004p-126, 0x1p+0, INEXACT)
182 T(RU, 0x1.000004p-126, 0x1.000006p-126, 0x1p+0, INEXACT)
183 T(RU, 0x1p-125, 0x1.000002p-125, 0x1p+0, INEXACT)
184 T(RU, 0x1p-124, 0x1.000002p-124, 0x1p+0, INEXACT)
185 T(RU,-0x1.000002p-126,-0x1.000002p-126, 0x0p+0, INEXACT)
186 T(RU,-0x1.000004p-126,-0x1.000004p-126, 0x0p+0, INEXACT)
187 T(RU, -0x1p-125, -0x1p-125, 0x0p+0, INEXACT)
188 T(RU, -0x1p-124, -0x1p-124, 0x0p+0, INEXACT)
189 T(RU, 0x1p-149, 0x1p-148, 0x1p+0, INEXACT|UNDERFLOW)
190 T(RU, 0x1p-148, 0x1.8p-148, 0x1p+0, INEXACT|UNDERFLOW)
191 T(RU, 0x1p-128, 0x1.000008p-128, 0x1p+0, INEXACT|UNDERFLOW)
192 T(RU, 0x1p-127, 0x1.000004p-127, 0x1p+0, INEXACT|UNDERFLOW)
193 T(RU, 0x1.fffff8p-127, 0x1.fffffcp-127, 0x1p+0, INEXACT|UNDERFLOW)
194 T(RU, 0x1.fffffcp-127, 0x1p-126, 0x1p+0, INEXACT|UNDERFLOW)
195 T(RU, 0x1p-126, 0x1.000002p-126, 0x1p+0, INEXACT)
196 T(RU, -0x1p-149, -0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
197 T(RU, -0x1p-148, -0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
198 T(RU, -0x1p-128, -0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
199 T(RU, -0x1p-127, -0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
200 T(RU,-0x1.fffff8p-127,-0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
201 T(RU,-0x1.fffffcp-127,-0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
202 T(RU, -0x1p-126, -0x1p-126, 0x0p+0, INEXACT)
203 T(RU, 0x1.000004p+0, nan, 0x0p+0, INVALID)
204 T(RU, 0x1p+1, nan, 0x0p+0, INVALID)
205 T(RU, 0x1p+2, nan, 0x0p+0, INVALID)
206 T(RU, 0x1p+126, nan, 0x0p+0, INVALID)
207 T(RU, 0x1p+127, nan, 0x0p+0, INVALID)
208 T(RU, 0x1.fffffcp+127, nan, 0x0p+0, INVALID)
209 T(RU, 0x1.fffffep+127, nan, 0x0p+0, INVALID)
210 T(RU, inf, nan, 0x0p+0, INVALID)
211 T(RU, -0x1.000002p+0, nan, 0x0p+0, INVALID)
212 T(RU, -0x1.000004p+0, nan, 0x0p+0, INVALID)
213 T(RU, -0x1p+1, nan, 0x0p+0, INVALID)
214 T(RU, -0x1p+2, nan, 0x0p+0, INVALID)
215 T(RU, -0x1p+126, nan, 0x0p+0, INVALID)
216 T(RU, -0x1p+127, nan, 0x0p+0, INVALID)
217 T(RU,-0x1.fffffcp+127, nan, 0x0p+0, INVALID)
218 T(RU,-0x1.fffffep+127, nan, 0x0p+0, INVALID)
219 T(RU, -inf, nan, 0x0p+0, INVALID)
220 T(RU, 0x1.8p-27, 0x1.800002p-27, 0x1p+0, INEXACT)
221 T(RU, 0x1p-26, 0x1.000002p-26, 0x1p+0, INEXACT)
222 T(RU, 0x1p-12, 0x1.000002p-12, 0x1.d55556p-1, INEXACT)
223 T(RU, 0x1.8p-12, 0x1.800002p-12, 0x1.7p-1, INEXACT)
224 T(RU, -0x1.8p-27, -0x1.8p-27, 0x1.2p-32, INEXACT)
225 T(RU, -0x1p-26, -0x1p-26, 0x1.555556p-32, INEXACT)
226 T(RU, -0x1p-12, -0x1p-12, 0x1.555556p-4, INEXACT)
227 T(RU, -0x1.8p-12, -0x1.8p-12, 0x1.200002p-2, INEXACT)
228 T(RZ, 0x1.000002p-126, 0x1.000002p-126, 0x0p+0, INEXACT)
229 T(RZ, 0x1.000004p-126, 0x1.000004p-126, 0x0p+0, INEXACT)
230 T(RZ, 0x1p-125, 0x1p-125, 0x0p+0, INEXACT)
231 T(RZ, 0x1p-124, 0x1p-124, 0x0p+0, INEXACT)
232 T(RZ,-0x1.000002p-126,-0x1.000002p-126, 0x0p+0, INEXACT)
233 T(RZ,-0x1.000004p-126,-0x1.000004p-126, 0x0p+0, INEXACT)
234 T(RZ, -0x1p-125, -0x1p-125, 0x0p+0, INEXACT)
235 T(RZ, -0x1p-124, -0x1p-124, 0x0p+0, INEXACT)
236 T(RZ, 0x1p-149, 0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
237 T(RZ, 0x1p-148, 0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
238 T(RZ, 0x1p-128, 0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
239 T(RZ, 0x1p-127, 0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
240 T(RZ, 0x1.fffff8p-127, 0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
241 T(RZ, 0x1.fffffcp-127, 0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
242 T(RZ, 0x1p-126, 0x1p-126, 0x0p+0, INEXACT)
243 T(RZ, -0x1p-149, -0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
244 T(RZ, -0x1p-148, -0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
245 T(RZ, -0x1p-128, -0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
246 T(RZ, -0x1p-127, -0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
247 T(RZ,-0x1.fffff8p-127,-0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
248 T(RZ,-0x1.fffffcp-127,-0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
249 T(RZ, -0x1p-126, -0x1p-126, 0x0p+0, INEXACT)
250 T(RZ, 0x1.000004p+0, nan, 0x0p+0, INVALID)
251 T(RZ, 0x1p+1, nan, 0x0p+0, INVALID)
252 T(RZ, 0x1p+2, nan, 0x0p+0, INVALID)
253 T(RZ, 0x1p+126, nan, 0x0p+0, INVALID)
254 T(RZ, 0x1p+127, nan, 0x0p+0, INVALID)
255 T(RZ, 0x1.fffffcp+127, nan, 0x0p+0, INVALID)
256 T(RZ, 0x1.fffffep+127, nan, 0x0p+0, INVALID)
257 T(RZ, inf, nan, 0x0p+0, INVALID)
258 T(RZ, -0x1.000002p+0, nan, 0x0p+0, INVALID)
259 T(RZ, -0x1.000004p+0, nan, 0x0p+0, INVALID)
260 T(RZ, -0x1p+1, nan, 0x0p+0, INVALID)
261 T(RZ, -0x1p+2, nan, 0x0p+0, INVALID)
262 T(RZ, -0x1p+126, nan, 0x0p+0, INVALID)
263 T(RZ, -0x1p+127, nan, 0x0p+0, INVALID)
264 T(RZ,-0x1.fffffcp+127, nan, 0x0p+0, INVALID)
265 T(RZ,-0x1.fffffep+127, nan, 0x0p+0, INVALID)
266 T(RZ, -inf, nan, 0x0p+0, INVALID)
267 T(RZ, 0x1.8p-27, 0x1.8p-27, -0x1.2p-32, INEXACT)
268 T(RZ, 0x1p-26, 0x1p-26, -0x1.555556p-32, INEXACT)
269 T(RZ, 0x1p-12, 0x1p-12, -0x1.555556p-4, INEXACT)
270 T(RZ, 0x1.8p-12, 0x1.8p-12, -0x1.200002p-2, INEXACT)
271 T(RZ, -0x1.8p-27, -0x1.8p-27, 0x1.2p-32, INEXACT)
272 T(RZ, -0x1p-26, -0x1p-26, 0x1.555556p-32, INEXACT)
273 T(RZ, -0x1p-12, -0x1p-12, 0x1.555556p-4, INEXACT)
274 T(RZ, -0x1.8p-12, -0x1.8p-12, 0x1.200002p-2, INEXACT)
libc test suite