fix ulp check in sincosf
[libc-test.git] / src / math / ucb / tanhf.h
blobc2bc89387a8c8e89d2f90565059e7582fc9c828a
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37 // tanh(+-max) = +-1
38 T(RN, 0x1.fffffep+127, 0x1p+0, 0x0p+0, INEXACT)
39 T(RN,-0x1.fffffep+127, -0x1p+0, 0x0p+0, INEXACT)
40 T(RZ, 0x1.fffffep+127, 0x1.fffffep-1, -0x1p+0, INEXACT)
41 T(RZ,-0x1.fffffep+127, -0x1.fffffep-1, 0x1p+0, INEXACT)
42 T(RU, 0x1.fffffep+127, 0x1p+0, 0x0p+0, INEXACT)
43 T(RU,-0x1.fffffep+127, -0x1.fffffep-1, 0x1p+0, INEXACT)
44 T(RD, 0x1.fffffep+127, 0x1.fffffep-1, -0x1p+0, INEXACT)
45 T(RD,-0x1.fffffep+127, -0x1p+0, 0x0p+0, INEXACT)
46 // tanh(tiny) :=: tiny
47 T(RN, 0x1p-29, 0x1p-29, 0x1.555556p-37, INEXACT)
48 T(RN, -0x1p-29, -0x1p-29, -0x1.555556p-37, INEXACT)
49 T(RN, 0x1p-126, 0x1p-126, 0x0p+0, INEXACT)
50 T(RN, -0x1p-126, -0x1p-126, 0x0p+0, INEXACT)
51 // tanh(+-0) = +-0
52 T(RN, 0x0p+0, 0x0p+0, 0x0p+0, 0)
53 T(RN, -0x0p+0, -0x0p+0, 0x0p+0, 0)
54 T(RZ, 0x0p+0, 0x0p+0, 0x0p+0, 0)
55 T(RZ, -0x0p+0, -0x0p+0, 0x0p+0, 0)
56 T(RU, 0x0p+0, 0x0p+0, 0x0p+0, 0)
57 T(RU, -0x0p+0, -0x0p+0, 0x0p+0, 0)
58 T(RD, 0x0p+0, 0x0p+0, 0x0p+0, 0)
59 T(RD, -0x0p+0, -0x0p+0, 0x0p+0, 0)
60 // random arguments between -9 9
61 T(RN, -0x1.358d5cp+1, -0x1.f7f0d6p-1, 0x1.36d18cp-2, INEXACT)
62 T(RN, 0x1.9a3dfp+2, 0x1.ffff4ap-1, -0x1.a1a278p-3, INEXACT)
63 T(RN, 0x1.fb23ap+2, 0x1.fffff8p-1, 0x1.94fd3p-2, INEXACT)
64 T(RN, -0x1.80af5p+2, -0x1.fffe6cp-1, 0x1.9b471ep-3, INEXACT)
65 T(RN, -0x1.38148ep+1, -0x1.f84024p-1, 0x1.543fb8p-2, INEXACT)
66 T(RN, -0x1.6a1d62p-2, -0x1.5bbd2ep-2, -0x1.dde122p-8, INEXACT)
67 T(RN, 0x1.4d1e6ep+2, 0x1.fff81ap-1, -0x1.586d5ap-7, INEXACT)
68 T(RN, 0x1.ec87f4p+2, 0x1.fffff2p-1, -0x1.f7ee14p-5, INEXACT)
69 T(RN, -0x1.833b12p+0, -0x1.d0971ep-1, -0x1.4ec0c6p-2, INEXACT)
70 T(RN, -0x1.13e934p+3, -0x1.fffffep-1, -0x1.680526p-4, INEXACT)
71 // tanh(nan) is nan
72 T(RN, nan, nan, 0x0p+0, 0)
73 T(RN, nan, nan, 0x0p+0, 0)
74 T(RZ, nan, nan, 0x0p+0, 0)
75 T(RZ, nan, nan, 0x0p+0, 0)
76 T(RU, nan, nan, 0x0p+0, 0)
77 T(RU, nan, nan, 0x0p+0, 0)
78 T(RD, nan, nan, 0x0p+0, 0)
79 T(RD, nan, nan, 0x0p+0, 0)
80 // tanh(+-inf) is 1.0
81 T(RN, inf, 0x1p+0, 0x0p+0, 0)
82 T(RN, -inf, -0x1p+0, 0x0p+0, 0)
83 T(RZ, inf, 0x1p+0, 0x0p+0, 0)
84 T(RZ, -inf, -0x1p+0, 0x0p+0, 0)
85 T(RU, inf, 0x1p+0, 0x0p+0, 0)
86 T(RU, -inf, -0x1p+0, 0x0p+0, 0)
87 T(RD, inf, 0x1p+0, 0x0p+0, 0)
88 T(RD, -inf, -0x1p+0, 0x0p+0, 0)
89 // tanh(+-subnormal)
90 T(RN, 0x1p-149, 0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
91 T(RN, -0x1p-149, -0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
92 T(RD, 0x1.000002p-126, 0x1p-126, -0x1p+0, INEXACT)
93 T(RD, 0x1.000004p-126, 0x1.000002p-126, -0x1p+0, INEXACT)
94 T(RD, 0x1p-125, 0x1.fffffep-126, -0x1p+0, INEXACT)
95 T(RD, 0x1p-124, 0x1.fffffep-125, -0x1p+0, INEXACT)
96 T(RD, 0x1p-28, 0x1.fffffep-29, -0x1p+0, INEXACT)
97 T(RD, 0x1p-27, 0x1.fffffep-28, -0x1p+0, INEXACT)
98 T(RD, 0x1.8p-27, 0x1.7ffffep-27, -0x1p+0, INEXACT)
99 T(RD, 0x1p-26, 0x1.fffffep-27, -0x1p+0, INEXACT)
100 T(RD, 0x1.4p-26, 0x1.3ffffep-26, -0x1p+0, INEXACT)
101 T(RD, 0x1.8p-26, 0x1.7ffffep-26, -0x1p+0, INEXACT)
102 T(RD, 0x1p-12, 0x1.fffffep-13, -0x1.555556p-1, INEXACT)
103 T(RD, 0x1.66p+6, 0x1.fffffep-1, -0x1p+0, INEXACT)
104 T(RD, 0x1.634p+9, 0x1.fffffep-1, -0x1p+0, INEXACT)
105 T(RD, 0x1p+126, 0x1.fffffep-1, -0x1p+0, INEXACT)
106 T(RD, 0x1p+127, 0x1.fffffep-1, -0x1p+0, INEXACT)
107 T(RD, 0x1.fffffcp+127, 0x1.fffffep-1, -0x1p+0, INEXACT)
108 T(RD,-0x1.000002p-126,-0x1.000002p-126, 0x0p+0, INEXACT)
109 T(RD,-0x1.000004p-126,-0x1.000004p-126, 0x0p+0, INEXACT)
110 T(RD, -0x1p-125, -0x1p-125, 0x0p+0, INEXACT)
111 T(RD, -0x1p-124, -0x1p-124, 0x0p+0, INEXACT)
112 T(RD, -0x1p-28, -0x1p-28, -0x1.555556p-35, INEXACT)
113 T(RD, -0x1p-27, -0x1p-27, -0x1.555556p-33, INEXACT)
114 T(RD, -0x1.8p-27, -0x1.8p-27, -0x1.2p-31, INEXACT)
115 T(RD, -0x1p-26, -0x1p-26, -0x1.555556p-31, INEXACT)
116 T(RD, -0x1.4p-26, -0x1.4p-26, -0x1.4d5556p-30, INEXACT)
117 T(RD, -0x1.8p-26, -0x1.8p-26, -0x1.2p-29, INEXACT)
118 T(RD, -0x1p-12, -0x1p-12, -0x1.555554p-3, INEXACT)
119 T(RD, -0x1.66p+6, -0x1p+0, 0x0p+0, INEXACT)
120 T(RD, -0x1.634p+9, -0x1p+0, 0x0p+0, INEXACT)
121 T(RD, -0x1p+126, -0x1p+0, 0x0p+0, INEXACT)
122 T(RD, -0x1p+127, -0x1p+0, 0x0p+0, INEXACT)
123 T(RD,-0x1.fffffcp+127, -0x1p+0, 0x0p+0, INEXACT)
124 T(RD, 0x1p-149, 0x0p+0, -0x1p+0, INEXACT|UNDERFLOW)
125 T(RD, 0x1p-148, 0x1p-149, -0x1p+0, INEXACT|UNDERFLOW)
126 T(RD, 0x1p-128, 0x1.fffffp-129, -0x1p+0, INEXACT|UNDERFLOW)
127 T(RD, 0x1p-127, 0x1.fffff8p-128, -0x1p+0, INEXACT|UNDERFLOW)
128 T(RD, 0x1.fffff8p-127, 0x1.fffff4p-127, -0x1p+0, INEXACT|UNDERFLOW)
129 T(RD, 0x1.fffffcp-127, 0x1.fffff8p-127, -0x1p+0, INEXACT|UNDERFLOW)
130 T(RD, 0x1p-126, 0x1.fffffcp-127, -0x1p+0, INEXACT|UNDERFLOW)
131 T(RD, -0x1p-149, -0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
132 T(RD, -0x1p-148, -0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
133 T(RD, -0x1p-128, -0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
134 T(RD, -0x1p-127, -0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
135 T(RD,-0x1.fffff8p-127,-0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
136 T(RD,-0x1.fffffcp-127,-0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
137 T(RD, -0x1p-126, -0x1p-126, 0x0p+0, 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, 0x1p-28, 0x1p-28, 0x1.555556p-35, INEXACT)
143 T(RN, 0x1p-27, 0x1p-27, 0x1.555556p-33, INEXACT)
144 T(RN, 0x1.8p-27, 0x1.8p-27, 0x1.2p-31, INEXACT)
145 T(RN, 0x1p-26, 0x1p-26, 0x1.555556p-31, INEXACT)
146 T(RN, 0x1.4p-26, 0x1.4p-26, 0x1.4d5556p-30, INEXACT)
147 T(RN, 0x1.8p-26, 0x1.8p-26, 0x1.2p-29, INEXACT)
148 T(RN, 0x1p-12, 0x1p-12, 0x1.555554p-3, INEXACT)
149 T(RN, 0x1.66p+6, 0x1p+0, 0x0p+0, INEXACT)
150 T(RN, 0x1.634p+9, 0x1p+0, 0x0p+0, INEXACT)
151 T(RN, 0x1p+126, 0x1p+0, 0x0p+0, INEXACT)
152 T(RN, 0x1p+127, 0x1p+0, 0x0p+0, INEXACT)
153 T(RN, 0x1.fffffcp+127, 0x1p+0, 0x0p+0, INEXACT)
154 T(RN,-0x1.000002p-126,-0x1.000002p-126, 0x0p+0, INEXACT)
155 T(RN,-0x1.000004p-126,-0x1.000004p-126, 0x0p+0, INEXACT)
156 T(RN, -0x1p-125, -0x1p-125, 0x0p+0, INEXACT)
157 T(RN, -0x1p-124, -0x1p-124, 0x0p+0, INEXACT)
158 T(RN, -0x1p-28, -0x1p-28, -0x1.555556p-35, INEXACT)
159 T(RN, -0x1p-27, -0x1p-27, -0x1.555556p-33, INEXACT)
160 T(RN, -0x1.8p-27, -0x1.8p-27, -0x1.2p-31, INEXACT)
161 T(RN, -0x1p-26, -0x1p-26, -0x1.555556p-31, INEXACT)
162 T(RN, -0x1.4p-26, -0x1.4p-26, -0x1.4d5556p-30, INEXACT)
163 T(RN, -0x1.8p-26, -0x1.8p-26, -0x1.2p-29, INEXACT)
164 T(RN, -0x1p-12, -0x1p-12, -0x1.555554p-3, INEXACT)
165 T(RN, -0x1.66p+6, -0x1p+0, 0x0p+0, INEXACT)
166 T(RN, -0x1.634p+9, -0x1p+0, 0x0p+0, INEXACT)
167 T(RN, -0x1p+126, -0x1p+0, 0x0p+0, INEXACT)
168 T(RN, -0x1p+127, -0x1p+0, 0x0p+0, INEXACT)
169 T(RN,-0x1.fffffcp+127, -0x1p+0, 0x0p+0, INEXACT)
170 T(RN, 0x1p-148, 0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
171 T(RN, 0x1p-128, 0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
172 T(RN, 0x1p-127, 0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
173 T(RN, 0x1.fffff8p-127, 0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
174 T(RN, 0x1.fffffcp-127, 0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
175 T(RN, -0x1p-148, -0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
176 T(RN, -0x1p-128, -0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
177 T(RN, -0x1p-127, -0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
178 T(RN,-0x1.fffff8p-127,-0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
179 T(RN,-0x1.fffffcp-127,-0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
180 T(RU, 0x1.000002p-126, 0x1.000002p-126, 0x0p+0, INEXACT)
181 T(RU, 0x1.000004p-126, 0x1.000004p-126, 0x0p+0, INEXACT)
182 T(RU, 0x1p-125, 0x1p-125, 0x0p+0, INEXACT)
183 T(RU, 0x1p-124, 0x1p-124, 0x0p+0, INEXACT)
184 T(RU, 0x1p-28, 0x1p-28, 0x1.555556p-35, INEXACT)
185 T(RU, 0x1p-27, 0x1p-27, 0x1.555556p-33, INEXACT)
186 T(RU, 0x1.8p-27, 0x1.8p-27, 0x1.2p-31, INEXACT)
187 T(RU, 0x1p-26, 0x1p-26, 0x1.555556p-31, INEXACT)
188 T(RU, 0x1.4p-26, 0x1.4p-26, 0x1.4d5556p-30, INEXACT)
189 T(RU, 0x1.8p-26, 0x1.8p-26, 0x1.2p-29, INEXACT)
190 T(RU, 0x1p-12, 0x1p-12, 0x1.555554p-3, INEXACT)
191 T(RU, 0x1.66p+6, 0x1p+0, 0x0p+0, INEXACT)
192 T(RU, 0x1.634p+9, 0x1p+0, 0x0p+0, INEXACT)
193 T(RU, 0x1p+126, 0x1p+0, 0x0p+0, INEXACT)
194 T(RU, 0x1p+127, 0x1p+0, 0x0p+0, INEXACT)
195 T(RU, 0x1.fffffcp+127, 0x1p+0, 0x0p+0, INEXACT)
196 T(RU,-0x1.000002p-126, -0x1p-126, 0x1p+0, INEXACT)
197 T(RU,-0x1.000004p-126,-0x1.000002p-126, 0x1p+0, INEXACT)
198 T(RU, -0x1p-125,-0x1.fffffep-126, 0x1p+0, INEXACT)
199 T(RU, -0x1p-124,-0x1.fffffep-125, 0x1p+0, INEXACT)
200 T(RU, -0x1p-28, -0x1.fffffep-29, 0x1p+0, INEXACT)
201 T(RU, -0x1p-27, -0x1.fffffep-28, 0x1p+0, INEXACT)
202 T(RU, -0x1.8p-27, -0x1.7ffffep-27, 0x1p+0, INEXACT)
203 T(RU, -0x1p-26, -0x1.fffffep-27, 0x1p+0, INEXACT)
204 T(RU, -0x1.4p-26, -0x1.3ffffep-26, 0x1p+0, INEXACT)
205 T(RU, -0x1.8p-26, -0x1.7ffffep-26, 0x1p+0, INEXACT)
206 T(RU, -0x1p-12, -0x1.fffffep-13, 0x1.555556p-1, INEXACT)
207 T(RU, -0x1.66p+6, -0x1.fffffep-1, 0x1p+0, INEXACT)
208 T(RU, -0x1.634p+9, -0x1.fffffep-1, 0x1p+0, INEXACT)
209 T(RU, -0x1p+126, -0x1.fffffep-1, 0x1p+0, INEXACT)
210 T(RU, -0x1p+127, -0x1.fffffep-1, 0x1p+0, INEXACT)
211 T(RU,-0x1.fffffcp+127, -0x1.fffffep-1, 0x1p+0, INEXACT)
212 T(RU, 0x1p-149, 0x1p-149, 0x0p+0, INEXACT|UNDERFLOW)
213 T(RU, 0x1p-148, 0x1p-148, 0x0p+0, INEXACT|UNDERFLOW)
214 T(RU, 0x1p-128, 0x1p-128, 0x0p+0, INEXACT|UNDERFLOW)
215 T(RU, 0x1p-127, 0x1p-127, 0x0p+0, INEXACT|UNDERFLOW)
216 T(RU, 0x1.fffff8p-127, 0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW)
217 T(RU, 0x1.fffffcp-127, 0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW)
218 T(RU, 0x1p-126, 0x1p-126, 0x0p+0, INEXACT)
219 T(RU, -0x1p-149, -0x0p+0, 0x1p+0, INEXACT|UNDERFLOW)
220 T(RU, -0x1p-148, -0x1p-149, 0x1p+0, INEXACT|UNDERFLOW)
221 T(RU, -0x1p-128, -0x1.fffffp-129, 0x1p+0, INEXACT|UNDERFLOW)
222 T(RU, -0x1p-127,-0x1.fffff8p-128, 0x1p+0, INEXACT|UNDERFLOW)
223 T(RU,-0x1.fffff8p-127,-0x1.fffff4p-127, 0x1p+0, INEXACT|UNDERFLOW)
224 T(RU,-0x1.fffffcp-127,-0x1.fffff8p-127, 0x1p+0, INEXACT|UNDERFLOW)
225 T(RU, -0x1p-126,-0x1.fffffcp-127, 0x1p+0, INEXACT|UNDERFLOW)
226 T(RZ, 0x1.000002p-126, 0x1p-126, -0x1p+0, INEXACT)
227 T(RZ, 0x1.000004p-126, 0x1.000002p-126, -0x1p+0, INEXACT)
228 T(RZ, 0x1p-125, 0x1.fffffep-126, -0x1p+0, INEXACT)
229 T(RZ, 0x1p-124, 0x1.fffffep-125, -0x1p+0, INEXACT)
230 T(RZ, 0x1p-28, 0x1.fffffep-29, -0x1p+0, INEXACT)
231 T(RZ, 0x1p-27, 0x1.fffffep-28, -0x1p+0, INEXACT)
232 T(RZ, 0x1.8p-27, 0x1.7ffffep-27, -0x1p+0, INEXACT)
233 T(RZ, 0x1p-26, 0x1.fffffep-27, -0x1p+0, INEXACT)
234 T(RZ, 0x1.4p-26, 0x1.3ffffep-26, -0x1p+0, INEXACT)
235 T(RZ, 0x1.8p-26, 0x1.7ffffep-26, -0x1p+0, INEXACT)
236 T(RZ, 0x1p-12, 0x1.fffffep-13, -0x1.555556p-1, INEXACT)
237 T(RZ, 0x1.66p+6, 0x1.fffffep-1, -0x1p+0, INEXACT)
238 T(RZ, 0x1.634p+9, 0x1.fffffep-1, -0x1p+0, INEXACT)
239 T(RZ, 0x1p+126, 0x1.fffffep-1, -0x1p+0, INEXACT)
240 T(RZ, 0x1p+127, 0x1.fffffep-1, -0x1p+0, INEXACT)
241 T(RZ, 0x1.fffffcp+127, 0x1.fffffep-1, -0x1p+0, INEXACT)
242 T(RZ,-0x1.000002p-126, -0x1p-126, 0x1p+0, INEXACT)
243 T(RZ,-0x1.000004p-126,-0x1.000002p-126, 0x1p+0, INEXACT)
244 T(RZ, -0x1p-125,-0x1.fffffep-126, 0x1p+0, INEXACT)
245 T(RZ, -0x1p-124,-0x1.fffffep-125, 0x1p+0, INEXACT)
246 T(RZ, -0x1p-28, -0x1.fffffep-29, 0x1p+0, INEXACT)
247 T(RZ, -0x1p-27, -0x1.fffffep-28, 0x1p+0, INEXACT)
248 T(RZ, -0x1.8p-27, -0x1.7ffffep-27, 0x1p+0, INEXACT)
249 T(RZ, -0x1p-26, -0x1.fffffep-27, 0x1p+0, INEXACT)
250 T(RZ, -0x1.4p-26, -0x1.3ffffep-26, 0x1p+0, INEXACT)
251 T(RZ, -0x1.8p-26, -0x1.7ffffep-26, 0x1p+0, INEXACT)
252 T(RZ, -0x1p-12, -0x1.fffffep-13, 0x1.555556p-1, INEXACT)
253 T(RZ, -0x1.66p+6, -0x1.fffffep-1, 0x1p+0, INEXACT)
254 T(RZ, -0x1.634p+9, -0x1.fffffep-1, 0x1p+0, INEXACT)
255 T(RZ, -0x1p+126, -0x1.fffffep-1, 0x1p+0, INEXACT)
256 T(RZ, -0x1p+127, -0x1.fffffep-1, 0x1p+0, INEXACT)
257 T(RZ,-0x1.fffffcp+127, -0x1.fffffep-1, 0x1p+0, INEXACT)
258 T(RZ, 0x1p-149, 0x0p+0, -0x1p+0, INEXACT|UNDERFLOW)
259 T(RZ, 0x1p-148, 0x1p-149, -0x1p+0, INEXACT|UNDERFLOW)
260 T(RZ, 0x1p-128, 0x1.fffffp-129, -0x1p+0, INEXACT|UNDERFLOW)
261 T(RZ, 0x1p-127, 0x1.fffff8p-128, -0x1p+0, INEXACT|UNDERFLOW)
262 T(RZ, 0x1.fffff8p-127, 0x1.fffff4p-127, -0x1p+0, INEXACT|UNDERFLOW)
263 T(RZ, 0x1.fffffcp-127, 0x1.fffff8p-127, -0x1p+0, INEXACT|UNDERFLOW)
264 T(RZ, 0x1p-126, 0x1.fffffcp-127, -0x1p+0, INEXACT|UNDERFLOW)
265 T(RZ, -0x1p-149, -0x0p+0, 0x1p+0, INEXACT|UNDERFLOW)
266 T(RZ, -0x1p-148, -0x1p-149, 0x1p+0, INEXACT|UNDERFLOW)
267 T(RZ, -0x1p-128, -0x1.fffffp-129, 0x1p+0, INEXACT|UNDERFLOW)
268 T(RZ, -0x1p-127,-0x1.fffff8p-128, 0x1p+0, INEXACT|UNDERFLOW)
269 T(RZ,-0x1.fffff8p-127,-0x1.fffff4p-127, 0x1p+0, INEXACT|UNDERFLOW)
270 T(RZ,-0x1.fffffcp-127,-0x1.fffff8p-127, 0x1p+0, INEXACT|UNDERFLOW)
271 T(RZ, -0x1p-126,-0x1.fffffcp-127, 0x1p+0, INEXACT|UNDERFLOW)