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37 // atan2s(+-0,+anything but nan) is +-0
38 T(RN, 0x0p+0, 0x0p+0, 0x0p+0, 0x0p+0, 0)
39 T(RN, 0x0p+0, 0x1p-149, 0x0p+0, 0x0p+0, 0)
40 T(RN, 0x0p+0, 0x1p-129, 0x0p+0, 0x0p+0, 0)
41 T(RN, 0x0p+0, 0x1.fffffep+127, 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-149, -0x0p+0, 0x0p+0, 0)
45 T(RN, -0x0p+0, 0x1p-129, -0x0p+0, 0x0p+0, 0)
46 T(RN, -0x0p+0, 0x1.fffffep+127, -0x0p+0, 0x0p+0, 0)
47 T(RN, -0x0p+0, inf, -0x0p+0, 0x0p+0, 0)
48 // atan2s(+-0,-anything but nan) is +-pi
49 T(RN, 0x0p+0, -inf, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
50 T(RN, 0x0p+0,-0x1.fffffep+127, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
51 T(RN, 0x0p+0, -0x1p-129, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
52 T(RN, 0x0p+0, -0x1p-149, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
53 T(RN, 0x0p+0, -0x0p+0, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
54 T(RN, -0x0p+0, -inf, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
55 T(RN, -0x0p+0,-0x1.fffffep+127, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
56 T(RN, -0x0p+0, -0x1p-129, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
57 T(RN, -0x0p+0, -0x1p-149, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
58 T(RN, -0x0p+0, -0x0p+0, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
59 // atan2s(+-anything but 0 and nan, 0) is +- pi/2
60 T(RN, inf, 0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
61 T(RN, inf, -0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
62 T(RN, 0x1.fffffep+127, 0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
63 T(RN, 0x1.fffffep+127, -0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
64 T(RN, 0x1p-126, 0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
65 T(RN, 0x1p-126, -0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
66 T(RN, 0x1p-149, 0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
67 T(RN, 0x1p-149, -0x0p+0, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
68 T(RN, -inf, 0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
69 T(RN, -inf, -0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
70 T(RN,-0x1.fffffep+127, 0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
71 T(RN,-0x1.fffffep+127, -0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
72 T(RN, -0x1p-126, 0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
73 T(RN, -0x1p-126, -0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
74 T(RN, -0x1p-149, 0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
75 T(RN, -0x1p-149, -0x0p+0, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
76 // atan2s(big,small) :=: +-pi/2
77 T(RN, 0x1.fffffep+127, 0x1p-126, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
78 T(RN, 0x1.fffffep+127, -0x1p-126, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
79 T(RN,-0x1.fffffep+127, 0x1p-126, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
80 T(RN,-0x1.fffffep+127, -0x1p-126, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
81 T(RZ, 0x1.fffffep+127, 0x1p-126, 0x1.921fb4p+0, -0x1.4442d2p-1, INEXACT)
82 T(RZ, 0x1.fffffep+127, -0x1p-126, 0x1.921fb4p+0, -0x1.4442d2p-1, INEXACT)
83 T(RZ,-0x1.fffffep+127, 0x1p-126, -0x1.921fb4p+0, 0x1.4442d2p-1, INEXACT)
84 T(RZ,-0x1.fffffep+127, -0x1p-126, -0x1.921fb4p+0, 0x1.4442d2p-1, INEXACT)
85 T(RU, 0x1.fffffep+127, 0x1p-126, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
86 T(RU, 0x1.fffffep+127, -0x1p-126, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
87 T(RU,-0x1.fffffep+127, 0x1p-126, -0x1.921fb4p+0, 0x1.4442d2p-1, INEXACT)
88 T(RU,-0x1.fffffep+127, -0x1p-126, -0x1.921fb4p+0, 0x1.4442d2p-1, INEXACT)
89 T(RD, 0x1.fffffep+127, 0x1p-126, 0x1.921fb4p+0, -0x1.4442d2p-1, INEXACT)
90 T(RD, 0x1.fffffep+127, -0x1p-126, 0x1.921fb4p+0, -0x1.4442d2p-1, INEXACT)
91 T(RD,-0x1.fffffep+127, 0x1p-126, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
92 T(RD,-0x1.fffffep+127, -0x1p-126, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
93 // atan2s(small,big) = small/big (big>0)
94 T(RN, 0x1p-126, 0x1.fffffep+127, 0x0p+0,-0x1.000002p-105, INEXACT|UNDERFLOW)
95 T(RN, -0x1p-126, 0x1.fffffep+127, -0x0p+0, 0x1.000002p-105, INEXACT|UNDERFLOW)
96 T(RN, 0x1p-126,-0x1.fffffep+127, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
97 T(RN, -0x1p-126,-0x1.fffffep+127, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
98 T(RZ, 0x1p-126, 0x1.fffffep+127, 0x0p+0,-0x1.000002p-105, INEXACT|UNDERFLOW)
99 T(RZ, -0x1p-126, 0x1.fffffep+127, -0x0p+0, 0x1.000002p-105, INEXACT|UNDERFLOW)
100 T(RZ, 0x1p-126,-0x1.fffffep+127, 0x1.921fb4p+1, -0x1.4442d2p-1, INEXACT)
101 T(RZ, -0x1p-126,-0x1.fffffep+127, -0x1.921fb4p+1, 0x1.4442d2p-1, INEXACT)
102 T(RU, 0x1p-126, 0x1.fffffep+127, 0x1p-149, 0x1p+0, INEXACT|UNDERFLOW)
103 T(RU, -0x1p-126, 0x1.fffffep+127, -0x0p+0, 0x1.000002p-105, INEXACT|UNDERFLOW)
104 T(RU, 0x1p-126,-0x1.fffffep+127, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
105 T(RU, -0x1p-126,-0x1.fffffep+127, -0x1.921fb4p+1, 0x1.4442d2p-1, INEXACT)
106 T(RD, 0x1p-126, 0x1.fffffep+127, 0x0p+0,-0x1.000002p-105, INEXACT|UNDERFLOW)
107 T(RD, -0x1p-126, 0x1.fffffep+127, -0x1p-149, -0x1p+0, INEXACT|UNDERFLOW)
108 T(RD, 0x1p-126,-0x1.fffffep+127, 0x1.921fb4p+1, -0x1.4442d2p-1, INEXACT)
109 T(RD, -0x1p-126,-0x1.fffffep+127, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
110 // atan2s(+-x,+x) = +-pi/4 for normal x
111 T(RN, 0x1p-126, 0x1p-126, 0x1.921fb6p-1, 0x1.777a5cp-2, INEXACT)
112 T(RN, -0x1p-126, 0x1p-126, -0x1.921fb6p-1, -0x1.777a5cp-2, INEXACT)
113 T(RN, 0x1.fffffep+127, 0x1.fffffep+127, 0x1.921fb6p-1, 0x1.777a5cp-2, INEXACT)
114 T(RN,-0x1.fffffep+127, 0x1.fffffep+127, -0x1.921fb6p-1, -0x1.777a5cp-2, INEXACT)
115 // atan2s(+-x,-x) = +-3pi/4 for normal x
116 T(RN, 0x1p-126, -0x1p-126, 0x1.2d97c8p+1, 0x1.99bc5cp-6, INEXACT)
117 T(RN, -0x1p-126, -0x1p-126, -0x1.2d97c8p+1, -0x1.99bc5cp-6, INEXACT)
118 T(RN, 0x1p+0, -0x1p+0, 0x1.2d97c8p+1, 0x1.99bc5cp-6, INEXACT)
119 T(RN, -0x1p+0, -0x1p+0, -0x1.2d97c8p+1, -0x1.99bc5cp-6, INEXACT)
120 T(RN, 0x1.fffffep+127,-0x1.fffffep+127, 0x1.2d97c8p+1, 0x1.99bc5cp-6, INEXACT)
121 T(RN,-0x1.fffffep+127,-0x1.fffffep+127, -0x1.2d97c8p+1, -0x1.99bc5cp-6, INEXACT)
122 // random arguments between -2.0 and 2.0
123 T(RN, -0x1.13284cp-1, 0x1.6ca8ep+0, -0x1.716d2p-2, 0x1.90111p-3, INEXACT)
124 T(RN, 0x1.c2ca6p+0, -0x1.55f12p+0, 0x1.1c206ep+1, 0x1.1ac042p-2, INEXACT)
125 T(RN, -0x1.15679ep-1, -0x1.41e132p-4, -0x1.b6ff44p+0, -0x1.2ecaf4p-4, INEXACT)
126 T(RN, 0x1.281b0ep+0, 0x1.b5ce34p+0, 0x1.30789cp-1, 0x1.17e61ap-3, INEXACT)
127 T(RN, -0x1.583482p-2, -0x1.ea8224p+0, -0x1.7be508p+1, 0x1.e4c608p-3, INEXACT)
128 T(RN, -0x1.aae18p-1, 0x1.7a9da2p-4, -0x1.75db7cp+0, 0x1.483b7cp-6, INEXACT)
129 T(RN, -0x1.845p+0, 0x1.6ca322p+0, -0x1.a237b2p-1, -0x1.e3262p-3, INEXACT)
130 T(RN, -0x1.fe09bep+0, -0x1.ff6c7ep+0, -0x1.2dc43cp+1, 0x1.348c12p-4, INEXACT)
131 T(RN, -0x1.d24c82p-1, 0x1.29b682p+0, -0x1.5428a2p-1, 0x1.e59fe4p-3, INEXACT)
132 T(RN, 0x1.25ea7ep-1, 0x1.f99598p-1, 0x1.0d9c96p-1, -0x1.3ef8ecp-7, INEXACT)
133 // atan2s involve nan
134 T(RN, 0x0p+0, nan, nan, 0x0p+0, 0)
135 T(RN, 0x1p+0, nan, nan, 0x0p+0, 0)
136 T(RN, nan, 0x1p-149, nan, 0x0p+0, 0)
137 T(RN, nan,-0x1.fffffep+127, nan, 0x0p+0, 0)
138 T(RN, nan, nan, nan, 0x0p+0, 0)
139 T(RN, nan, nan, nan, 0x0p+0, 0)
140 T(RZ, 0x0p+0, nan, nan, 0x0p+0, 0)
141 T(RZ, 0x1p+0, nan, nan, 0x0p+0, 0)
142 T(RZ, nan, 0x1p-149, nan, 0x0p+0, 0)
143 T(RZ, nan,-0x1.fffffep+127, nan, 0x0p+0, 0)
144 T(RZ, nan, nan, nan, 0x0p+0, 0)
145 T(RZ, nan, nan, nan, 0x0p+0, 0)
146 T(RU, 0x0p+0, nan, nan, 0x0p+0, 0)
147 T(RU, 0x1p+0, nan, nan, 0x0p+0, 0)
148 T(RU, nan, 0x1p-149, nan, 0x0p+0, 0)
149 T(RU, nan,-0x1.fffffep+127, nan, 0x0p+0, 0)
150 T(RU, nan, nan, nan, 0x0p+0, 0)
151 T(RU, nan, nan, nan, 0x0p+0, 0)
152 T(RD, 0x0p+0, nan, nan, 0x0p+0, 0)
153 T(RD, 0x1p+0, nan, nan, 0x0p+0, 0)
154 T(RD, nan, 0x1p-149, nan, 0x0p+0, 0)
155 T(RD, nan,-0x1.fffffep+127, nan, 0x0p+0, 0)
156 T(RD, nan, nan, nan, 0x0p+0, 0)
157 T(RD, nan, nan, nan, 0x0p+0, 0)
158 // atan2s(+-(anything but inf and nan), +inf) is +-0
159 T(RN, 0x1p-149, inf, 0x0p+0, 0x0p+0, 0)
160 T(RN, 0x1.fffffep+127, inf, 0x0p+0, 0x0p+0, 0)
161 T(RN, -0x1p-149, inf, -0x0p+0, 0x0p+0, 0)
162 T(RN,-0x1.fffffep+127, inf, -0x0p+0, 0x0p+0, 0)
163 // atan2s(+-(anything but inf and nan), -inf) is +-pi
164 T(RN, 0x1p-149, -inf, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
165 T(RN, 0x1.fffffep+127, -inf, 0x1.921fb6p+1, 0x1.777a5cp-2, INEXACT)
166 T(RN, -0x1p-149, -inf, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
167 T(RN,-0x1.fffffep+127, -inf, -0x1.921fb6p+1, -0x1.777a5cp-2, INEXACT)
168 // atan2s(+-inf,+inf ) is +-pi/4
169 T(RN, inf, inf, 0x1.921fb6p-1, 0x1.777a5cp-2, INEXACT)
170 T(RN, -inf, inf, -0x1.921fb6p-1, -0x1.777a5cp-2, INEXACT)
171 // atan2s(+-inf,-inf ) is +-3pi/4
172 T(RN, inf, -inf, 0x1.2d97c8p+1, 0x1.99bc5cp-6, INEXACT)
173 T(RN, -inf, -inf, -0x1.2d97c8p+1, -0x1.99bc5cp-6, INEXACT)
174 // atan2s(+-inf, (anything but,0,nan, and inf)) is +-pi/2
175 T(RN, inf, 0x1p-149, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
176 T(RN, inf, -0x1p-149, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
177 T(RN, inf, 0x1.fffffep+127, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
178 T(RN, inf,-0x1.fffffep+127, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT)
179 T(RN, -inf, 0x1p-149, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
180 T(RN, -inf, -0x1p-149, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
181 T(RN, -inf, 0x1.fffffep+127, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)
182 T(RN, -inf,-0x1.fffffep+127, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT)