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36 // that they be sent to fdlibm-comments@sunpro.sun.com.
37 // atan2d(+-0,+anything but nan) is +-0
38 T(RN, 0x0p+0, 0x0p+0, 0x0p+0, 0x0p+0, 0)
39 T(RN, 0x0p+0, 0x1p-1074, 0x0p+0, 0x0p+0, 0)
40 T(RN, 0x0p+0, 0x1p-1022, 0x0p+0, 0x0p+0, 0)
41 T(RN, 0x0p+0, 0x1.fffffffffffffp+1023, 0x0p+0, 0x0p+0, 0)
42 T(RN, 0x0p+0, inf, 0x0p+0, 0x0p+0, 0)
43 T(RN, -0x0p+0, 0x0p+0, -0x0p+0, 0x0p+0, 0)
44 T(RN, -0x0p+0, 0x1p-1074, -0x0p+0, 0x0p+0, 0)
45 T(RN, -0x0p+0, 0x1p-1022, -0x0p+0, 0x0p+0, 0)
46 T(RN, -0x0p+0, 0x1.fffffffffffffp+1023, -0x0p+0, 0x0p+0, 0)
47 T(RN, -0x0p+0, inf, -0x0p+0, 0x0p+0, 0)
48 T(RZ, 0x0p+0, 0x0p+0, 0x0p+0, 0x0p+0, 0)
49 T(RZ, 0x0p+0, 0x1p-1074, 0x0p+0, 0x0p+0, 0)
50 T(RZ, 0x0p+0, 0x1p-1022, 0x0p+0, 0x0p+0, 0)
51 T(RZ, 0x0p+0, 0x1.fffffffffffffp+1023, 0x0p+0, 0x0p+0, 0)
52 T(RZ, 0x0p+0, inf, 0x0p+0, 0x0p+0, 0)
53 T(RZ, -0x0p+0, 0x0p+0, -0x0p+0, 0x0p+0, 0)
54 T(RZ, -0x0p+0, 0x1p-1074, -0x0p+0, 0x0p+0, 0)
55 T(RZ, -0x0p+0, 0x1p-1022, -0x0p+0, 0x0p+0, 0)
56 T(RZ, -0x0p+0, 0x1.fffffffffffffp+1023, -0x0p+0, 0x0p+0, 0)
57 T(RZ, -0x0p+0, inf, -0x0p+0, 0x0p+0, 0)
58 T(RU, 0x0p+0, 0x0p+0, 0x0p+0, 0x0p+0, 0)
59 T(RU, 0x0p+0, 0x1p-1074, 0x0p+0, 0x0p+0, 0)
60 T(RU, 0x0p+0, 0x1p-1022, 0x0p+0, 0x0p+0, 0)
61 T(RU, 0x0p+0, 0x1.fffffffffffffp+1023, 0x0p+0, 0x0p+0, 0)
62 T(RU, 0x0p+0, inf, 0x0p+0, 0x0p+0, 0)
63 T(RU, -0x0p+0, 0x0p+0, -0x0p+0, 0x0p+0, 0)
64 T(RU, -0x0p+0, 0x1p-1074, -0x0p+0, 0x0p+0, 0)
65 T(RU, -0x0p+0, 0x1p-1022, -0x0p+0, 0x0p+0, 0)
66 T(RU, -0x0p+0, 0x1.fffffffffffffp+1023, -0x0p+0, 0x0p+0, 0)
67 T(RU, -0x0p+0, inf, -0x0p+0, 0x0p+0, 0)
68 T(RD, 0x0p+0, 0x0p+0, 0x0p+0, 0x0p+0, 0)
69 T(RD, 0x0p+0, 0x1p-1074, 0x0p+0, 0x0p+0, 0)
70 T(RD, 0x0p+0, 0x1p-1022, 0x0p+0, 0x0p+0, 0)
71 T(RD, 0x0p+0, 0x1.fffffffffffffp+1023, 0x0p+0, 0x0p+0, 0)
72 T(RD, 0x0p+0, inf, 0x0p+0, 0x0p+0, 0)
73 T(RD, -0x0p+0, 0x0p+0, -0x0p+0, 0x0p+0, 0)
74 T(RD, -0x0p+0, 0x1p-1074, -0x0p+0, 0x0p+0, 0)
75 T(RD, -0x0p+0, 0x1p-1022, -0x0p+0, 0x0p+0, 0)
76 T(RD, -0x0p+0, 0x1.fffffffffffffp+1023, -0x0p+0, 0x0p+0, 0)
77 T(RD, -0x0p+0, inf, -0x0p+0, 0x0p+0, 0)
78 // atan2d(+-0,-anything but nan) is +-pi
79 T(RN, 0x0p+0, -inf, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
80 T(RN, 0x0p+0,-0x1.fffffffffffffp+1023, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
81 T(RN, 0x0p+0, -0x1p-1022, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
82 T(RN, 0x0p+0, -0x1p-1074, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
83 T(RN, 0x0p+0, -0x0p+0, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
84 T(RN, -0x0p+0, -inf, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
85 T(RN, -0x0p+0,-0x1.fffffffffffffp+1023, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
86 T(RN, -0x0p+0, -0x1p-1022, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
87 T(RN, -0x0p+0, -0x1p-1074, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
88 T(RN, -0x0p+0, -0x0p+0, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
89 // atan2d(+-anything but 0 and nan, 0) is +- pi/2
90 T(RN, inf, 0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
91 T(RN, inf, -0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
92 T(RN, 0x1.fffffffffffffp+1023, 0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
93 T(RN, 0x1.fffffffffffffp+1023, -0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
94 T(RN, 0x1p-1022, 0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
95 T(RN, 0x1p-1022, -0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
96 T(RN, 0x1p-1074, 0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
97 T(RN, 0x1p-1074, -0x0p+0, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
98 T(RN, -inf, 0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
99 T(RN, -inf, -0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
100 T(RN,-0x1.fffffffffffffp+1023, 0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
101 T(RN,-0x1.fffffffffffffp+1023, -0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
102 T(RN, -0x1p-1074, 0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
103 T(RN, -0x1p-1074, -0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
104 T(RN, -0x1p-1022, 0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
105 T(RN, -0x1p-1022, -0x0p+0, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
106 // atan2d(big,small) :=: +-pi/2
107 T(RN, 0x1.fffffffffffffp+1023, 0x1p-1022, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
108 T(RN, 0x1.fffffffffffffp+1023, -0x1p-1022, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
109 T(RN,-0x1.fffffffffffffp+1023, 0x1p-1022, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
110 T(RN,-0x1.fffffffffffffp+1023, -0x1p-1022, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
111 T(RZ, 0x1.fffffffffffffp+1023, 0x1p-1022, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
112 T(RZ, 0x1.fffffffffffffp+1023, -0x1p-1022, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
113 T(RZ,-0x1.fffffffffffffp+1023, 0x1p-1022, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
114 T(RZ,-0x1.fffffffffffffp+1023, -0x1p-1022, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
115 T(RU, 0x1.fffffffffffffp+1023, 0x1p-1022, 0x1.921fb54442d19p+0, 0x1.72cecep-1, INEXACT)
116 T(RU, 0x1.fffffffffffffp+1023, -0x1p-1022, 0x1.921fb54442d19p+0, 0x1.72cecep-1, INEXACT)
117 T(RU,-0x1.fffffffffffffp+1023, 0x1p-1022, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
118 T(RU,-0x1.fffffffffffffp+1023, -0x1p-1022, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
119 T(RD, 0x1.fffffffffffffp+1023, 0x1p-1022, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
120 T(RD, 0x1.fffffffffffffp+1023, -0x1p-1022, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
121 T(RD,-0x1.fffffffffffffp+1023, 0x1p-1022, -0x1.921fb54442d19p+0, -0x1.72cecep-1, INEXACT)
122 T(RD,-0x1.fffffffffffffp+1023, -0x1p-1022, -0x1.921fb54442d19p+0, -0x1.72cecep-1, INEXACT)
123 // atan2d(small,big) = small/big (big>0)
124 T(RN, 0x1p-1022, 0x1.fffffffffffffp+1023, 0x0p+0, -0x0p+0, INEXACT|UNDERFLOW)
125 T(RN, -0x1p-1022, 0x1.fffffffffffffp+1023, -0x0p+0, 0x0p+0, INEXACT|UNDERFLOW)
126 T(RN, 0x1p-1022,-0x1.fffffffffffffp+1023, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
127 T(RN, -0x1p-1022,-0x1.fffffffffffffp+1023, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
128 T(RZ, 0x1p-1022, 0x1.fffffffffffffp+1023, 0x0p+0, -0x0p+0, INEXACT|UNDERFLOW)
129 T(RZ, -0x1p-1022, 0x1.fffffffffffffp+1023, -0x0p+0, 0x0p+0, INEXACT|UNDERFLOW)
130 T(RZ, 0x1p-1022,-0x1.fffffffffffffp+1023, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
131 T(RZ, -0x1p-1022,-0x1.fffffffffffffp+1023, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
132 T(RU, 0x1p-1022, 0x1.fffffffffffffp+1023, 0x1p-1074, 0x1p+0, INEXACT|UNDERFLOW)
133 T(RU, -0x1p-1022, 0x1.fffffffffffffp+1023, -0x0p+0, 0x0p+0, INEXACT|UNDERFLOW)
134 T(RU, 0x1p-1022,-0x1.fffffffffffffp+1023, 0x1.921fb54442d19p+1, 0x1.72cecep-1, INEXACT)
135 T(RU, -0x1p-1022,-0x1.fffffffffffffp+1023, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
136 T(RD, 0x1p-1022, 0x1.fffffffffffffp+1023, 0x0p+0, -0x0p+0, INEXACT|UNDERFLOW)
137 T(RD, -0x1p-1022, 0x1.fffffffffffffp+1023, -0x1p-1074, -0x1p+0, INEXACT|UNDERFLOW)
138 T(RD, 0x1p-1022,-0x1.fffffffffffffp+1023, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
139 T(RD, -0x1p-1022,-0x1.fffffffffffffp+1023, -0x1.921fb54442d19p+1, -0x1.72cecep-1, INEXACT)
140 // atan2d(+-x,+x) = +-pi/4 for normal x
141 T(RN, 0x1p-1022, 0x1p-1022, 0x1.921fb54442d18p-1, -0x1.1a6264p-2, INEXACT)
142 T(RN, -0x1p-1022, 0x1p-1022, -0x1.921fb54442d18p-1, 0x1.1a6264p-2, INEXACT)
143 T(RN, 0x1.fffffffffffffp+1023, 0x1.fffffffffffffp+1023, 0x1.921fb54442d18p-1, -0x1.1a6264p-2, INEXACT)
144 T(RN,-0x1.fffffffffffffp+1023, 0x1.fffffffffffffp+1023, -0x1.921fb54442d18p-1, 0x1.1a6264p-2, INEXACT)
145 // atan2d(+-x,-x) = +-3pi/4 for normal x
146 T(RN, 0x1p-1022, -0x1p-1022, 0x1.2d97c7f3321d2p+1, -0x1.a79394p-3, INEXACT)
147 T(RN, -0x1p-1022, -0x1p-1022, -0x1.2d97c7f3321d2p+1, 0x1.a79394p-3, INEXACT)
148 T(RN, 0x1p+0, -0x1p+0, 0x1.2d97c7f3321d2p+1, -0x1.a79394p-3, INEXACT)
149 T(RN, -0x1p+0, -0x1p+0, -0x1.2d97c7f3321d2p+1, 0x1.a79394p-3, INEXACT)
150 T(RN, 0x1.fffffffffffffp+1023,-0x1.fffffffffffffp+1023, 0x1.2d97c7f3321d2p+1, -0x1.a79394p-3, INEXACT)
151 T(RN,-0x1.fffffffffffffp+1023,-0x1.fffffffffffffp+1023, -0x1.2d97c7f3321d2p+1, 0x1.a79394p-3, INEXACT)
152 // random arguments between -2.0 and 2.0
153 T(RN, -0x1.13284b2b5006dp-1, 0x1.6ca8dfb825911p+0, -0x1.716d1fa13dd6p-2, -0x1.31471ap-3, INEXACT)
154 T(RN, 0x1.c2ca609de7505p+0, -0x1.55f11fba96889p+0, 0x1.1c206d50867f1p+1, -0x1.d982d2p-2, INEXACT)
155 T(RN, -0x1.15679e27084ddp-1, -0x1.41e131b093c41p-4, -0x1.b6ff43cc0fa03p+0, 0x1.428fe2p-3, INEXACT)
156 T(RN, 0x1.281b0d18455f5p+0, 0x1.b5ce34a51b239p+0, 0x1.30789aa67a7b1p-1, 0x1.e13b2ap-2, INEXACT)
157 T(RN, -0x1.583481079de4dp-2, -0x1.ea8223103b871p+0, -0x1.7be5087e43d19p+1, 0x1.a6c422p-2, INEXACT)
158 T(RN, -0x1.aae17f24163e5p-1, 0x1.7a9da1468cce9p-4, -0x1.75db7c098be45p+0, 0x1.e9c708p-2, INEXACT)
159 T(RN, -0x1.844fff258fcbdp+0, 0x1.6ca321ace7da1p+0, -0x1.a237b131b62afp-1, -0x1.d5b568p-2, INEXACT)
160 T(RN, -0x1.fe09befde0ed5p+0, -0x1.ff6c7e8e5e899p+0, -0x1.2dc43c18871b1p+1, 0x1.ece6e2p-7, INEXACT)
161 T(RN, -0x1.d24c81412d02dp-1, 0x1.29b6828273bd1p+0, -0x1.5428a1a6caecfp-1, 0x1.9211bp-2, INEXACT)
162 T(RN, 0x1.25ea7e8b7c6c5p-1, 0x1.f99598e193549p-1, 0x1.0d9c960b4dda9p-1, -0x1.000c7p-3, INEXACT)
163 // atan2d involve nan
164 T(RN, 0x0p+0, nan, nan, 0x0p+0, 0)
165 T(RN, 0x1p+0, nan, nan, 0x0p+0, 0)
166 T(RN, nan, 0x1p-1074, nan, 0x0p+0, 0)
167 T(RN, nan,-0x1.fffffffffffffp+1023, nan, 0x0p+0, 0)
168 T(RN, nan, nan, nan, 0x0p+0, 0)
169 T(RN, nan, nan, nan, 0x0p+0, 0)
170 T(RZ, 0x0p+0, nan, nan, 0x0p+0, 0)
171 T(RZ, 0x1p+0, nan, nan, 0x0p+0, 0)
172 T(RZ, nan, 0x1p-1074, nan, 0x0p+0, 0)
173 T(RZ, nan,-0x1.fffffffffffffp+1023, nan, 0x0p+0, 0)
174 T(RZ, nan, nan, nan, 0x0p+0, 0)
175 T(RZ, nan, nan, nan, 0x0p+0, 0)
176 T(RU, 0x0p+0, nan, nan, 0x0p+0, 0)
177 T(RU, 0x1p+0, nan, nan, 0x0p+0, 0)
178 T(RU, nan, 0x1p-1074, nan, 0x0p+0, 0)
179 T(RU, nan,-0x1.fffffffffffffp+1023, nan, 0x0p+0, 0)
180 T(RU, nan, nan, nan, 0x0p+0, 0)
181 T(RU, nan, nan, nan, 0x0p+0, 0)
182 T(RD, 0x0p+0, nan, nan, 0x0p+0, 0)
183 T(RD, 0x1p+0, nan, nan, 0x0p+0, 0)
184 T(RD, nan, 0x1p-1074, nan, 0x0p+0, 0)
185 T(RD, nan,-0x1.fffffffffffffp+1023, nan, 0x0p+0, 0)
186 T(RD, nan, nan, nan, 0x0p+0, 0)
187 T(RD, nan, nan, nan, 0x0p+0, 0)
188 // atan2d(+-(anything but inf and nan), +inf) is +-0
189 T(RN, 0x1p-1074, inf, 0x0p+0, 0x0p+0, 0)
190 T(RN, 0x1.fffffffffffffp+1023, inf, 0x0p+0, 0x0p+0, 0)
191 T(RN, -0x1p-1074, inf, -0x0p+0, 0x0p+0, 0)
192 T(RN,-0x1.fffffffffffffp+1023, inf, -0x0p+0, 0x0p+0, 0)
193 T(RZ, 0x1p-1074, inf, 0x0p+0, 0x0p+0, 0)
194 T(RZ, 0x1.fffffffffffffp+1023, inf, 0x0p+0, 0x0p+0, 0)
195 T(RZ, -0x1p-1074, inf, -0x0p+0, 0x0p+0, 0)
196 T(RZ,-0x1.fffffffffffffp+1023, inf, -0x0p+0, 0x0p+0, 0)
197 T(RU, 0x1p-1074, inf, 0x0p+0, 0x0p+0, 0)
198 T(RU, 0x1.fffffffffffffp+1023, inf, 0x0p+0, 0x0p+0, 0)
199 T(RU, -0x1p-1074, inf, -0x0p+0, 0x0p+0, 0)
200 T(RU,-0x1.fffffffffffffp+1023, inf, -0x0p+0, 0x0p+0, 0)
201 T(RD, 0x1p-1074, inf, 0x0p+0, 0x0p+0, 0)
202 T(RD, 0x1.fffffffffffffp+1023, inf, 0x0p+0, 0x0p+0, 0)
203 T(RD, -0x1p-1074, inf, -0x0p+0, 0x0p+0, 0)
204 T(RD,-0x1.fffffffffffffp+1023, inf, -0x0p+0, 0x0p+0, 0)
205 // atan2d(+-(anything but inf and nan), -inf) is +-pi
206 T(RN, 0x1p-1074, -inf, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
207 T(RN, 0x1.fffffffffffffp+1023, -inf, 0x1.921fb54442d18p+1, -0x1.1a6264p-2, INEXACT)
208 T(RN, -0x1p-1074, -inf, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
209 T(RN,-0x1.fffffffffffffp+1023, -inf, -0x1.921fb54442d18p+1, 0x1.1a6264p-2, INEXACT)
210 // atan2d(+-inf,+inf ) is +-pi/4
211 T(RN, inf, inf, 0x1.921fb54442d18p-1, -0x1.1a6264p-2, INEXACT)
212 T(RN, -inf, inf, -0x1.921fb54442d18p-1, 0x1.1a6264p-2, INEXACT)
213 // atan2d(+-inf,-inf ) is +-3pi/4
214 T(RN, inf, -inf, 0x1.2d97c7f3321d2p+1, -0x1.a79394p-3, INEXACT)
215 T(RN, -inf, -inf, -0x1.2d97c7f3321d2p+1, 0x1.a79394p-3, INEXACT)
216 // atan2d(+-inf, (anything but,0,nan, and inf)) is +-pi/2
217 T(RN, inf, 0x1p-1074, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
218 T(RN, inf, -0x1p-1074, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
219 T(RN, inf, 0x1.fffffffffffffp+1023, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
220 T(RN, inf,-0x1.fffffffffffffp+1023, 0x1.921fb54442d18p+0, -0x1.1a6264p-2, INEXACT)
221 T(RN, -inf, 0x1p-1074, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
222 T(RN, -inf, -0x1p-1074, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
223 T(RN, -inf, 0x1.fffffffffffffp+1023, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
224 T(RN, -inf,-0x1.fffffffffffffp+1023, -0x1.921fb54442d18p+0, 0x1.1a6264p-2, INEXACT)
projects / libc-test / blob