1 /*
2 * Copyright (c) 2003, 2017, Oracle and/or its affiliates. All rights reserved.
3 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
4 *
5 * This code is free software; you can redistribute it and/or modify it
6 * under the terms of the GNU General Public License version 2 only, as
7 * published by the Free Software Foundation.
8 *
9 * This code is distributed in the hope that it will be useful, but WITHOUT
10 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
11 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
12 * version 2 for more details (a copy is included in the LICENSE file that
13 * accompanied this code).
14 *
15 * You should have received a copy of the GNU General Public License version
16 * 2 along with this work; if not, write to the Free Software Foundation,
17 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
18 *
19 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
20 * or visit www.oracle.com if you need additional information or have any
21 * questions.
22 */
23
24 /*
25 * @test
26 * @bug 4851638
27 * @key randomness
28 * @summary Tests for StrictMath.hypot
29 * @library /test/lib
30 * @build Tests
31 * @build FdlibmTranslit
32 * @build HypotTests
33 * @run main HypotTests
34 * @author Joseph D. Darcy
35 */
36
37 import jdk.test.lib.RandomFactory;
38
39 /**
40 * The tests in ../Math/HypotTests.java test properties that should
41 * hold for any hypot implementation, including the FDLIBM-based one
42 * required for StrictMath.hypot. Therefore, the test cases in
43 * ../Math/HypotTests.java are run against both the Math and
44 * StrictMath versions of hypot. The role of this test is to verify
45 * that the FDLIBM hypot algorithm is being used by running golden
46 * file tests on values that may vary from one conforming hypot
47 * implementation to another.
48 */
49
50 public class HypotTests {
51 private HypotTests(){}
52
53 public static void main(String... args) {
54 int failures = 0;
55
56 failures += testHypot();
57 failures += testAgainstTranslit();
58
59 if (failures > 0) {
60 System.err.println("Testing hypot incurred "
61 + failures + " failures.");
62 throw new RuntimeException();
63 }
64 }
65
66 /**
67 * The hypot implementation is commutative, {@code hypot(a, b) ==
68 * hypot(b, a)}, and independent of sign, {@code hypot(a, b) ==
69 * hypot(-a, b) == hypot(a, -b) == hypot(-a, -b)}.
70 */
71 static int testHypotCase(double input1, double input2, double expected) {
72 int failures = 0;
73 failures += Tests.test("StrictMath.hypot(double)", input1, input2,
74 StrictMath.hypot(input1, input2), expected);
75
76 failures += Tests.test("StrictMath.hypot(double)", input2, input1,
77 StrictMath.hypot(input2, input1), expected);
78
79 failures += Tests.test("StrictMath.hypot(double)", -input1, input2,
80 StrictMath.hypot(-input1, input2), expected);
81
82 failures += Tests.test("StrictMath.hypot(double)", input2, -input1,
83 StrictMath.hypot(input2, -input1), expected);
84
85 failures += Tests.test("StrictMath.hypot(double)", input1, -input2,
86 StrictMath.hypot(input1, -input2), expected);
87
88 failures += Tests.test("StrictMath.hypot(double)", -input2, input1,
89 StrictMath.hypot(-input2, input1), expected);
90
91 failures += Tests.test("StrictMath.hypot(double)", -input1, -input2,
92 StrictMath.hypot(-input1, -input2), expected);
93
94 failures += Tests.test("StrictMath.hypot(double)", -input2, -input1,
95 StrictMath.hypot(-input2, -input1), expected);
96 return failures;
97 }
98
99 static int testHypot() {
100 int failures = 0;
101
102 double [][] testCases = {
103 {0x1.0p0, 0x1.ffffffffffab5p-1, 0x1.6a09e667f39edp0},
104 {0x1.0p0, 0x1.ffffffffffffbp0, 0x1.1e3779b97f4a6p1},
105 {0x1.0p0, 0x1.7ffffffffffffp1, 0x1.94c583ada5b51p1},
106 {0x1.0p0, 0x1.ffffffffffffdp1, 0x1.07e0f66afed06p2},
107 {0x1.0p0, 0x1.3fffffffffffdp2, 0x1.465655f122ff3p2},
108 {0x1.0p0, 0x1.4p2, 0x1.465655f122ff6p2},
109 {0x1.0p0, 0x1.7ffffffffffffp2, 0x1.854bfb363dc38p2},
110 {0x1.0p0, 0x1.8p2, 0x1.854bfb363dc39p2},
111 {0x1.0p0, 0x1.bfffffffffffep2, 0x1.c48c6001f0abdp2},
112 {0x1.0p0, 0x1.fffffffffffffp2, 0x1.01fe03f61badp3},
113 {0x1.0p0, 0x1.1fffffffffffap3, 0x1.21c5b70d9f81dp3},
114 {0x1.0p0, 0x1.3ffffffffffe5p3, 0x1.419894c2329d5p3},
115 {0x1.0p0, 0x1.3ffffffffffe7p3, 0x1.419894c2329d8p3},
116 {0x1.0p0, 0x1.5ffffffffff7ep3, 0x1.617398f2aa9c6p3},
117 {0x1.0p0, 0x1.5ffffffffff8dp3, 0x1.617398f2aa9d5p3},
118 {0x1.0p0, 0x1.7ffffffffff9bp3, 0x1.8154be27734c1p3},
119 {0x1.0p0, 0x1.8p3, 0x1.8154be2773526p3},
120 {0x1.0p0, 0x1.9fffffffffff4p3, 0x1.a13a9cb996644p3},
121 {0x1.0p0, 0x1.9ffffffffffffp3, 0x1.a13a9cb99664fp3},
122 {0x1.0p0, 0x1.bfffffffffffep3, 0x1.c12432fec0327p3},
123 {0x1.0p0, 0x1.cp3, 0x1.c12432fec0329p3},
124 {0x1.0p0, 0x1.dffffffffffbcp3, 0x1.e110c39105f6bp3},
125 {0x1.0p0, 0x1.ep3, 0x1.e110c39105fafp3},
126 {0x1.0p0, 0x1.ffffffffffeafp3, 0x1.007fe00ff5fc8p4},
127 {0x1.0p0, 0x1.0fffffffffff4p4, 0x1.10785dd689a1cp4},
128 {0x1.0p0, 0x1.0fffffffffffbp4, 0x1.10785dd689a23p4},
129 {0x1.0p0, 0x1.1ffffffffff92p4, 0x1.2071b0abcd7cap4},
130 {0x1.0p0, 0x1.1ffffffffff99p4, 0x1.2071b0abcd7d1p4},
131 {0x1.0p0, 0x1.2fffffffffffcp4, 0x1.306bb705ae7bfp4},
132 {0x1.0p0, 0x1.2ffffffffffffp4, 0x1.306bb705ae7c3p4},
133 {0x1.0p0, 0x1.3fffffffffffdp4, 0x1.4066560954a8bp4},
134 {0x1.0p0, 0x1.4fffffffffe14p4, 0x1.506177f548fcfp4},
135 {0x1.0p0, 0x1.5p4, 0x1.506177f5491bbp4},
136 {0x1.0p0, 0x1.5fffffffffffdp4, 0x1.605d0af9d3a42p4},
137 {0x1.0p0, 0x1.5fffffffffffep4, 0x1.605d0af9d3a42p4},
138 {0x1.0p0, 0x1.6fffffffffff8p4, 0x1.7059005e2c015p4},
139 {0x1.0p0, 0x1.6ffffffffffffp4, 0x1.7059005e2c01dp4},
140 {0x1.0p0, 0x1.7fffffffffffdp4, 0x1.80554bdc2dc4dp4},
141 {0x1.0p0, 0x1.7ffffffffffffp4, 0x1.80554bdc2dc4ep4},
142 {0x1.0p0, 0x1.8fffffffffe68p4, 0x1.9051e3235a2cp4},
143 {0x1.0p0, 0x1.9p4, 0x1.9051e3235a458p4},
144 {0x1.0p0, 0x1.9fffffffffff4p4, 0x1.a04ebd789d00cp4},
145 {0x1.0p0, 0x1.ap4, 0x1.a04ebd789d019p4},
146 {0x1.0p0, 0x1.afffffffffed8p4, 0x1.b04bd36b639fbp4},
147 {0x1.0p0, 0x1.affffffffff43p4, 0x1.b04bd36b63a66p4},
148 {0x1.0p0, 0x1.bfffffffffe3ep4, 0x1.c0491e9ab90fdp4},
149 {0x1.0p0, 0x1.cp4, 0x1.c0491e9ab92bfp4},
150 {0x1.0p0, 0x1.cfffffffffed8p4, 0x1.d0469986884d6p4},
151 {0x1.0p0, 0x1.cfffffffffee8p4, 0x1.d0469986884e5p4},
152 {0x1.0p0, 0x1.dfffffffffe5cp4, 0x1.e0443f6a33104p4},
153 {0x1.0p0, 0x1.dffffffffffffp4, 0x1.e0443f6a332a7p4},
154 {0x1.0p0, 0x1.efffffffffff8p4, 0x1.f0420c1e63084p4},
155 {0x1.0p0, 0x1.fp4, 0x1.f0420c1e6308dp4},
156 {0x1.0p0, 0x1.ffffffffffffdp4, 0x1.001ffe003ff5fp5},
157 {0x1.0p0, 0x1.07ffffffffed8p5, 0x1.081f05ef4d755p5},
158 {0x1.0p0, 0x1.07ffffffffee8p5, 0x1.081f05ef4d764p5},
159 {0x1.0p0, 0x1.0fffffffffff4p5, 0x1.101e1c7371c6bp5},
160 {0x1.0p0, 0x1.0fffffffffffbp5, 0x1.101e1c7371c72p5},
161 {0x1.0p0, 0x1.17ffffffffff8p5, 0x1.181d404cf7f51p5},
162 {0x1.0p0, 0x1.17ffffffffffdp5, 0x1.181d404cf7f56p5},
163 {0x1.0p0, 0x1.1fffffffffbf2p5, 0x1.201c705fa7a27p5},
164 {0x1.0p0, 0x1.1fffffffffc65p5, 0x1.201c705fa7a9ap5},
165 {0x1.0p0, 0x1.27ffffffffe08p5, 0x1.281babadfba01p5},
166 {0x1.0p0, 0x1.28p5, 0x1.281babadfbbf9p5},
167 {0x1.0p0, 0x1.2ffffffffff64p5, 0x1.301af15517357p5},
168 {0x1.0p0, 0x1.2ffffffffff6cp5, 0x1.301af1551735ep5},
169 {0x1.0p0, 0x1.37ffffffffc78p5, 0x1.381a40895d3f5p5},
170 {0x1.0p0, 0x1.37ffffffffc88p5, 0x1.381a40895d406p5},
171 {0x1.0p0, 0x1.3fffffffffffdp5, 0x1.4019989389b2dp5},
172 {0x1.0p0, 0x1.4p5, 0x1.4019989389b3p5},
173 {0x1.0p0, 0x1.47fffffffffe8p5, 0x1.4818f8ce34e19p5},
174 {0x1.0p0, 0x1.47ffffffffffap5, 0x1.4818f8ce34e2cp5},
175 {0x1.0p0, 0x1.4fffffffffa64p5, 0x1.501860a3b54bep5},
176 {0x1.0p0, 0x1.4fffffffffe47p5, 0x1.501860a3b58a1p5},
177 {0x1.0p0, 0x1.57ffffffffff8p5, 0x1.5817cf8c4c199p5},
178 {0x1.0p0, 0x1.57fffffffffffp5, 0x1.5817cf8c4c1ap5},
179 {0x1.0p0, 0x1.5fffffffffbeep5, 0x1.6017450c8d3e7p5},
180 {0x1.0p0, 0x1.6p5, 0x1.6017450c8d7f9p5},
181 {0x1.0p0, 0x1.67fffffffffe8p5, 0x1.6816c0b405afp5},
182 {0x1.0p0, 0x1.68p5, 0x1.6816c0b405b09p5},
183 {0x1.0p0, 0x1.6fffffffffb78p5, 0x1.7016421c06043p5},
184 {0x1.0p0, 0x1.7p5, 0x1.7016421c064cbp5},
185 {0x1.0p0, 0x1.77ffffffffffp5, 0x1.7815c8e69cc37p5},
186 {0x1.0p0, 0x1.77ffffffffffcp5, 0x1.7815c8e69cc43p5},
187 {0x1.0p0, 0x1.7ffffffffffffp5, 0x1.801554bda99c5p5},
188 {0x1.0p0, 0x1.87fffffffffdp5, 0x1.8814e55214271p5},
189 {0x1.0p0, 0x1.87ffffffffffcp5, 0x1.8814e5521429ep5},
190 {0x1.0p0, 0x1.8ffffffffffe8p5, 0x1.90147a5b16ce5p5},
191 {0x1.0p0, 0x1.8fffffffffffcp5, 0x1.90147a5b16cfap5},
192 {0x1.0p0, 0x1.97ffffffffffp5, 0x1.98141395a0592p5},
193 {0x1.0p0, 0x1.97fffffffffffp5, 0x1.98141395a05a1p5},
194 {0x1.0p0, 0x1.9fffffffff8f4p5, 0x1.a013b0c3c7377p5},
195 {0x1.0p0, 0x1.9fffffffffb18p5, 0x1.a013b0c3c759bp5},
196 {0x1.0p0, 0x1.a7fffffffffdp5, 0x1.a81351ac4f317p5},
197 {0x1.0p0, 0x1.a7ffffffffffp5, 0x1.a81351ac4f338p5},
198 {0x1.0p0, 0x1.afffffffff698p5, 0x1.b012f61a35d98p5},
199 {0x1.0p0, 0x1.bp5, 0x1.b012f61a367p5},
200 {0x1.0p0, 0x1.b7ffffffff85p5, 0x1.b8129ddc56b26p5},
201 {0x1.0p0, 0x1.b7ffffffff87p5, 0x1.b8129ddc56b45p5},
202 {0x1.0p0, 0x1.bfffffffffffdp5, 0x1.c01248c50d99cp5},
203 {0x1.0p0, 0x1.bfffffffffffep5, 0x1.c01248c50d99cp5},
204 {0x1.0p0, 0x1.c7ffffffffedp5, 0x1.c811f6a9e9676p5},
205 {0x1.0p0, 0x1.c8p5, 0x1.c811f6a9e97a6p5},
206 {0x1.0p0, 0x1.cffffffffffe8p5, 0x1.d011a7636789ep5},
207 {0x1.0p0, 0x1.d7ffffffffffp5, 0x1.d8115accb20f3p5},
208 {0x1.0p0, 0x1.d8p5, 0x1.d8115accb2103p5},
209 {0x1.0p0, 0x1.dfffffffffebcp5, 0x1.e01110c367a41p5},
210 {0x1.0p0, 0x1.ep5, 0x1.e01110c367b85p5},
211 {0x1.0p0, 0x1.e7fffffffffdp5, 0x1.e810c927681fap5},
212 {0x1.0p0, 0x1.e8p5, 0x1.e810c9276822ap5},
213 {0x1.0p0, 0x1.efffffffff7f8p5, 0x1.f01083daa4dadp5},
214 {0x1.0p0, 0x1.fp5, 0x1.f01083daa55b5p5},
215 {0x1.0p0, 0x1.f7ffffffffffp5, 0x1.f81040c0f9c6p5},
216 {0x1.0p0, 0x1.f8p5, 0x1.f81040c0f9c71p5},
217 {0x1.0p0, 0x1.fffffffffffffp5, 0x1.0007ffe000fffp6},
218 {0x1.0p0, 0x1.03fffffffffdp6, 0x1.0407e05f7d188p6},
219 {0x1.0p0, 0x1.03ffffffffffbp6, 0x1.0407e05f7d1b4p6},
220 {0x1.0p0, 0x1.07ffffffff7f8p6, 0x1.0807c1d34edd5p6},
221 {0x1.0p0, 0x1.07ffffffff808p6, 0x1.0807c1d34ede4p6},
222 {0x1.0p0, 0x1.0bffffffff65p6, 0x1.0c07a430870e5p6},
223 {0x1.0p0, 0x1.0bffffffff67p6, 0x1.0c07a43087104p6},
224 {0x1.0p0, 0x1.0fffffffffc54p6, 0x1.1007876cda509p6},
225 {0x1.0p0, 0x1.0fffffffffe0dp6, 0x1.1007876cda6c2p6},
226 {0x1.0p0, 0x1.13fffffffffdp6, 0x1.14076b7e954b4p6},
227 {0x1.0p0, 0x1.13ffffffffffep6, 0x1.14076b7e954e3p6},
228 {0x1.0p0, 0x1.17ffffffffff8p6, 0x1.1807505c9310dp6},
229 {0x1.0p0, 0x1.18p6, 0x1.1807505c93116p6},
230 {0x1.0p0, 0x1.1bfffffffecbp6, 0x1.1c0735fe3197ap6},
231 {0x1.0p0, 0x1.1bffffffff1dbp6, 0x1.1c0735fe31ea5p6},
232 {0x1.0p0, 0x1.1ffffffffebcap6, 0x1.20071c5b4ce64p6},
233 {0x1.0p0, 0x1.1fffffffffaf1p6, 0x1.20071c5b4dd8bp6},
234 {0x1.0p0, 0x1.23ffffffff83p6, 0x1.2407036c309fdp6},
235 {0x1.0p0, 0x1.23ffffffff85p6, 0x1.2407036c30a1cp6},
236 {0x1.0p0, 0x1.27ffffffffba8p6, 0x1.2806eb2991e76p6},
237 {0x1.0p0, 0x1.28p6, 0x1.2806eb29922cep6},
238 {0x1.0p0, 0x1.2bfffffffff7p6, 0x1.2c06d38c8b4ffp6},
239 {0x1.0p0, 0x1.2bfffffffff9p6, 0x1.2c06d38c8b52p6},
240 {0x1.0p0, 0x1.2fffffffffff4p6, 0x1.3006bc8e938c8p6},
241 {0x1.0p0, 0x1.2fffffffffffcp6, 0x1.3006bc8e938cfp6},
242 {0x1.0p0, 0x1.33ffffffff87p6, 0x1.3406a6297821ep6},
243 {0x1.0p0, 0x1.33ffffffff89p6, 0x1.3406a6297823dp6},
244 {0x1.0p0, 0x1.37ffffffff9d8p6, 0x1.380690575943dp6},
245 {0x1.0p0, 0x1.37ffffffff9eap6, 0x1.380690575944fp6},
246 {0x1.0p0, 0x1.3bffffffffffp6, 0x1.3c067b12a2013p6},
247 {0x1.0p0, 0x1.3cp6, 0x1.3c067b12a2024p6},
248 {0x1.0p0, 0x1.3fffffffffe19p6, 0x1.40066656044ep6},
249 {0x1.0p0, 0x1.4p6, 0x1.40066656046c7p6},
250 {0x1.0p0, 0x1.43ffffffff1dp6, 0x1.4406521c75c3p6},
251 {0x1.0p0, 0x1.43ffffffffccfp6, 0x1.4406521c7672fp6},
252 {0x1.0p0, 0x1.47ffffffff8a8p6, 0x1.48063e612ce7ap6},
253 {0x1.0p0, 0x1.47ffffffffcb9p6, 0x1.48063e612d28bp6},
254 {0x1.0p0, 0x1.4bfffffffe1fp6, 0x1.4c062b1f96823p6},
255 {0x1.0p0, 0x1.4cp6, 0x1.4c062b1f98633p6},
256 {0x1.0p0, 0x1.4ffffffffde04p6, 0x1.500618535d07dp6},
257 {0x1.0p0, 0x1.5p6, 0x1.500618535f279p6},
258 {0x1.0p0, 0x1.53fffffffef1p6, 0x1.540605f85c637p6},
259 {0x1.0p0, 0x1.53ffffffffdf3p6, 0x1.540605f85d51ap6},
260 {0x1.0p0, 0x1.57ffffffffff8p6, 0x1.5805f40aa0595p6},
261 {0x1.0p0, 0x1.5bffffffffffp6, 0x1.5c05e286636b5p6},
262 {0x1.0p0, 0x1.5bfffffffffffp6, 0x1.5c05e286636c4p6},
263 {0x1.0p0, 0x1.5ffffffffd9cep6, 0x1.6005d1680baa2p6},
264 {0x1.0p0, 0x1.5fffffffff873p6, 0x1.6005d1680d947p6},
265 {0x1.0p0, 0x1.63ffffffffa5p6, 0x1.6405c0ac30a35p6},
266 {0x1.0p0, 0x1.63ffffffffa7p6, 0x1.6405c0ac30a56p6},
267 {0x1.0p0, 0x1.67ffffffff988p6, 0x1.6805b04f83ac3p6},
268 {0x1.0p0, 0x1.68p6, 0x1.6805b04f8413bp6},
269 {0x1.0p0, 0x1.6bfffffffffep6, 0x1.6c05a04ee40c3p6},
270 {0x1.0p0, 0x1.6cp6, 0x1.6c05a04ee40e3p6},
271 {0x1.0p0, 0x1.6fffffffff018p6, 0x1.700590a74f9b5p6},
272 {0x1.0p0, 0x1.6fffffffffbe2p6, 0x1.700590a75057fp6},
273 {0x1.0p0, 0x1.73ffffffff4ap6, 0x1.74058155e9b72p6},
274 {0x1.0p0, 0x1.74p6, 0x1.74058155ea6d2p6},
275 {0x1.0p0, 0x1.77ffffffffffp6, 0x1.78057257f1868p6},
276 {0x1.0p0, 0x1.78p6, 0x1.78057257f1878p6},
277 {0x1.0p0, 0x1.7bfffffffffep6, 0x1.7c0563aac389bp6},
278 {0x1.0p0, 0x1.7bfffffffffe4p6, 0x1.7c0563aac389fp6},
279 {0x1.0p0, 0x1.7ffffffffffffp6, 0x1.8005554bda349p6},
280 {0x1.0p0, 0x1.8p6, 0x1.8005554bda34bp6},
281 {0x1.0p0, 0x1.83fffffffffap6, 0x1.84054738c9dcdp6},
282 {0x1.0p0, 0x1.84p6, 0x1.84054738c9e2dp6},
283 {0x1.0p0, 0x1.87ffffffff09p6, 0x1.8805396f3f494p6},
284 {0x1.0p0, 0x1.87ffffffff0bp6, 0x1.8805396f3f4b5p6},
285 {0x1.0p0, 0x1.8bfffffffffep6, 0x1.8c052bed02f7ap6},
286 {0x1.0p0, 0x1.8cp6, 0x1.8c052bed02f9bp6},
287 {0x1.0p0, 0x1.8fffffffff7c8p6, 0x1.90051eafee07bp6},
288 {0x1.0p0, 0x1.9p6, 0x1.90051eafee8b3p6},
289 {0x1.0p1, 0x1.fffffffffdcb5p-1, 0x1.1e3779b97f0b5p1},
290 {0x1.0p1, 0x1.ffffffffffab5p0, 0x1.6a09e667f39edp1},
291 {0x1.0p1, 0x1.7ffffffffffffp1, 0x1.cd82b446159f2p1},
292 {0x1.0p1, 0x1.8p1, 0x1.cd82b446159f3p1},
293 {0x1.0p1, 0x1.ffffffffffffbp1, 0x1.1e3779b97f4a6p2},
294 {0x1.0p1, 0x1.3fffffffffffdp2, 0x1.58a68a4a8d9fp2},
295 {0x1.0p1, 0x1.3fffffffffffep2, 0x1.58a68a4a8d9f1p2},
296 {0x1.0p1, 0x1.7ffffffffffffp2, 0x1.94c583ada5b51p2},
297 {0x1.0p1, 0x1.bfffffffffffep2, 0x1.d1ed52076fbe7p2},
298 {0x1.0p1, 0x1.cp2, 0x1.d1ed52076fbe9p2},
299 {0x1.0p1, 0x1.ffffffffffffdp2, 0x1.07e0f66afed06p3},
300 {0x1.0p1, 0x1.1fffffffffff2p3, 0x1.2706821902e8cp3},
301 {0x1.0p1, 0x1.2p3, 0x1.2706821902e9ap3},
302 {0x1.0p1, 0x1.3fffffffffffdp3, 0x1.465655f122ff3p3},
303 {0x1.0p1, 0x1.4p3, 0x1.465655f122ff6p3},
304 {0x1.0p1, 0x1.5ffffffffffd6p3, 0x1.65c55827df1a8p3},
305 {0x1.0p1, 0x1.7ffffffffffffp3, 0x1.854bfb363dc38p3},
306 {0x1.0p1, 0x1.8p3, 0x1.854bfb363dc39p3},
307 {0x1.0p1, 0x1.9ffffffffffe4p3, 0x1.a4e4efeda34c2p3},
308 {0x1.0p1, 0x1.ap3, 0x1.a4e4efeda34dep3},
309 {0x1.0p1, 0x1.bfffffffffffep3, 0x1.c48c6001f0abdp3},
310 {0x1.0p1, 0x1.dfffffffffffcp3, 0x1.e43f746f77956p3},
311 {0x1.0p1, 0x1.ep3, 0x1.e43f746f7795bp3},
312 {0x1.0p1, 0x1.fffffffffffffp3, 0x1.01fe03f61badp4},
313 {0x1.0p1, 0x1.0ffffffffffc4p4, 0x1.11e039f40ee2ap4},
314 {0x1.0p1, 0x1.0ffffffffffc7p4, 0x1.11e039f40ee2dp4},
315 {0x1.0p1, 0x1.1fffffffffffap4, 0x1.21c5b70d9f81dp4},
316 {0x1.0p1, 0x1.2fffffffffffcp4, 0x1.31adf859f9e5ap4},
317 {0x1.0p1, 0x1.2fffffffffffep4, 0x1.31adf859f9e5cp4},
318 {0x1.0p1, 0x1.3ffffffffffe5p4, 0x1.419894c2329d5p4},
319 {0x1.0p1, 0x1.3ffffffffffe7p4, 0x1.419894c2329d8p4},
320 {0x1.0p1, 0x1.4fffffffffff4p4, 0x1.518536f3ca668p4},
321 {0x1.0p1, 0x1.5p4, 0x1.518536f3ca675p4},
322 {0x1.0p1, 0x1.5ffffffffff7ep4, 0x1.617398f2aa9c6p4},
323 {0x1.0p1, 0x1.5ffffffffff8dp4, 0x1.617398f2aa9d5p4},
324 {0x1.0p1, 0x1.6ffffffffffb8p4, 0x1.716380ce70352p4},
325 {0x1.0p1, 0x1.7p4, 0x1.716380ce7039ap4},
326 {0x1.0p1, 0x1.7ffffffffff9bp4, 0x1.8154be27734c1p4},
327 {0x1.0p1, 0x1.8p4, 0x1.8154be2773526p4},
328 {0x1.0p1, 0x1.8ffffffffffe8p4, 0x1.9147284a4142fp4},
329 {0x1.0p1, 0x1.8ffffffffffffp4, 0x1.9147284a41446p4},
330 {0x1.0p1, 0x1.9fffffffffff4p4, 0x1.a13a9cb996644p4},
331 {0x1.0p1, 0x1.9ffffffffffffp4, 0x1.a13a9cb99664fp4},
332 {0x1.0p1, 0x1.affffffffff58p4, 0x1.b12efe0a8f113p4},
333 {0x1.0p1, 0x1.affffffffffd2p4, 0x1.b12efe0a8f18dp4},
334 {0x1.0p1, 0x1.bfffffffffffep4, 0x1.c12432fec0327p4},
335 {0x1.0p1, 0x1.cp4, 0x1.c12432fec0329p4},
336 {0x1.0p1, 0x1.cffffffffffe8p4, 0x1.d11a25cd6ed78p4},
337 {0x1.0p1, 0x1.dp4, 0x1.d11a25cd6ed91p4},
338 {0x1.0p1, 0x1.dffffffffffbcp4, 0x1.e110c39105f6bp4},
339 {0x1.0p1, 0x1.ep4, 0x1.e110c39105fafp4},
340 {0x1.0p1, 0x1.effffffffffe8p4, 0x1.f107fbd0adcf1p4},
341 {0x1.0p1, 0x1.efffffffffff8p4, 0x1.f107fbd0addp4},
342 {0x1.0p1, 0x1.ffffffffffeafp4, 0x1.007fe00ff5fc8p5},
343 {0x1.0p1, 0x1.07fffffffffe8p5, 0x1.087c01e7d5092p5},
344 {0x1.0p1, 0x1.08p5, 0x1.087c01e7d50abp5},
345 {0x1.0p1, 0x1.0fffffffffff4p5, 0x1.10785dd689a1cp5},
346 {0x1.0p1, 0x1.0fffffffffffbp5, 0x1.10785dd689a23p5},
347 {0x1.0p1, 0x1.17ffffffffed8p5, 0x1.1874eee5c5cb1p5},
348 {0x1.0p1, 0x1.17ffffffffee8p5, 0x1.1874eee5c5cc2p5},
349 {0x1.0p1, 0x1.1ffffffffff92p5, 0x1.2071b0abcd7cap5},
350 {0x1.0p1, 0x1.1ffffffffff99p5, 0x1.2071b0abcd7d1p5},
351 {0x1.0p1, 0x1.27ffffffffea8p5, 0x1.286e9f388de9fp5},
352 {0x1.0p1, 0x1.28p5, 0x1.286e9f388dff7p5},
353 {0x1.0p1, 0x1.2fffffffffffcp5, 0x1.306bb705ae7bfp5},
354 {0x1.0p1, 0x1.2ffffffffffffp5, 0x1.306bb705ae7c3p5},
355 {0x1.0p1, 0x1.37ffffffffff8p5, 0x1.3868f4e9108b9p5},
356 {0x1.0p1, 0x1.38p5, 0x1.3868f4e9108c1p5},
357 {0x1.0p1, 0x1.3fffffffffffdp5, 0x1.4066560954a8bp5},
358 {0x1.0p1, 0x1.47ffffffffe28p5, 0x1.4863d7d40ad39p5},
359 {0x1.0p1, 0x1.48p5, 0x1.4863d7d40af11p5},
360 {0x1.0p1, 0x1.4fffffffffe14p5, 0x1.506177f548fcfp5},
361 {0x1.0p1, 0x1.5p5, 0x1.506177f5491bbp5},
362 {0x1.0p1, 0x1.57ffffffffeb8p5, 0x1.585f34506bafbp5},
363 {0x1.0p1, 0x1.58p5, 0x1.585f34506bc43p5},
364 {0x1.0p1, 0x1.5fffffffffffdp5, 0x1.605d0af9d3a42p5},
365 {0x1.0p1, 0x1.5fffffffffffep5, 0x1.605d0af9d3a42p5},
366 {0x1.0p1, 0x1.67ffffffffda8p5, 0x1.685afa317791bp5},
367 {0x1.0p1, 0x1.68p5, 0x1.685afa3177b73p5},
368 {0x1.0p1, 0x1.6fffffffffff8p5, 0x1.7059005e2c015p5},
369 {0x1.0p1, 0x1.6ffffffffffffp5, 0x1.7059005e2c01dp5},
370 {0x1.0p1, 0x1.77ffffffffffp5, 0x1.78571c0982328p5},
371 {0x1.0p1, 0x1.78p5, 0x1.78571c0982339p5},
372 {0x1.0p1, 0x1.7fffffffffffdp5, 0x1.80554bdc2dc4dp5},
373 {0x1.0p1, 0x1.7ffffffffffffp5, 0x1.80554bdc2dc4ep5},
374 {0x1.0p1, 0x1.87fffffffffdp5, 0x1.88538e9ad8dacp5},
375 {0x1.0p1, 0x1.87fffffffffffp5, 0x1.88538e9ad8ddbp5},
376 {0x1.0p1, 0x1.8fffffffffe68p5, 0x1.9051e3235a2cp5},
377 {0x1.0p1, 0x1.9p5, 0x1.9051e3235a458p5},
378 {0x1.0p1, 0x1.97ffffffffffp5, 0x1.9850486a3f17p5},
379 {0x1.0p1, 0x1.97fffffffffffp5, 0x1.9850486a3f17fp5},
380 {0x1.0p1, 0x1.9fffffffffff4p5, 0x1.a04ebd789d00cp5},
381 {0x1.0p1, 0x1.ap5, 0x1.a04ebd789d019p5},
382 {0x1.0p1, 0x1.a7ffffffffe1p5, 0x1.a84d416a2354dp5},
383 {0x1.0p1, 0x1.a8p5, 0x1.a84d416a2373dp5},
384 {0x1.0p1, 0x1.afffffffffed8p5, 0x1.b04bd36b639fbp5},
385 {0x1.0p1, 0x1.affffffffff43p5, 0x1.b04bd36b63a66p5},
386 {0x1.0p1, 0x1.b7ffffffffd7p5, 0x1.b84a72b848951p5},
387 {0x1.0p1, 0x1.b7ffffffffe2bp5, 0x1.b84a72b848a0cp5},
388 {0x1.0p1, 0x1.bfffffffffe3ep5, 0x1.c0491e9ab90fdp5},
389 {0x1.0p1, 0x1.cp5, 0x1.c0491e9ab92bfp5},
390 {0x1.0p1, 0x1.c7fffffffffdp5, 0x1.c847d6695dbc5p5},
391 {0x1.0p1, 0x1.c8p5, 0x1.c847d6695dbf6p5},
392 {0x1.0p1, 0x1.cfffffffffed8p5, 0x1.d0469986884d6p5},
393 {0x1.0p1, 0x1.cfffffffffee8p5, 0x1.d0469986884e5p5},
394 {0x1.0p1, 0x1.d7ffffffffdfp5, 0x1.d845675f37721p5},
395 {0x1.0p1, 0x1.d8p5, 0x1.d845675f37931p5},
396 {0x1.0p1, 0x1.dfffffffffe5cp5, 0x1.e0443f6a33104p5},
397 {0x1.0p1, 0x1.dffffffffffffp5, 0x1.e0443f6a332a7p5},
398 {0x1.0p1, 0x1.e7fffffffff05p5, 0x1.e84321273f31ep5},
399 {0x1.0p1, 0x1.e7fffffffff1p5, 0x1.e84321273f328p5},
400 {0x1.0p1, 0x1.efffffffffff8p5, 0x1.f0420c1e63084p5},
401 {0x1.0p1, 0x1.fp5, 0x1.f0420c1e6308dp5},
402 {0x1.0p1, 0x1.f7ffffffffc3p5, 0x1.f840ffdf40effp5},
403 {0x1.0p1, 0x1.f7fffffffff08p5, 0x1.f840ffdf411d7p5},
404 {0x1.0p1, 0x1.ffffffffffffdp5, 0x1.001ffe003ff5fp6},
405 {0x1.0p1, 0x1.03fffffffffdp6, 0x1.041f800f9f928p6},
406 {0x1.0p1, 0x1.03ffffffffffap6, 0x1.041f800f9f953p6},
407 {0x1.0p1, 0x1.07ffffffffed8p6, 0x1.081f05ef4d755p6},
408 {0x1.0p1, 0x1.07ffffffffee8p6, 0x1.081f05ef4d764p6},
409 {0x1.0p1, 0x1.0bfffffffff5p6, 0x1.0c1e8f739cdcap6},
410 {0x1.0p1, 0x1.0bfffffffff7p6, 0x1.0c1e8f739cde9p6},
411 {0x1.0p1, 0x1.0fffffffffff4p6, 0x1.101e1c7371c6bp6},
412 {0x1.0p1, 0x1.0fffffffffffbp6, 0x1.101e1c7371c72p6},
413 {0x1.0p1, 0x1.13fffffffffdp6, 0x1.141dacc811a34p6},
414 {0x1.0p1, 0x1.13ffffffffffcp6, 0x1.141dacc811a6p6},
415 {0x1.0p1, 0x1.17ffffffffff8p6, 0x1.181d404cf7f51p6},
416 {0x1.0p1, 0x1.17ffffffffffdp6, 0x1.181d404cf7f56p6},
417 {0x1.0p1, 0x1.1bffffffffffp6, 0x1.1c1cd6dfae4a5p6},
418 {0x1.0p1, 0x1.1bffffffffffep6, 0x1.1c1cd6dfae4b4p6},
419 {0x1.0p1, 0x1.1fffffffffbf2p6, 0x1.201c705fa7a27p6},
420 {0x1.0p1, 0x1.1fffffffffc65p6, 0x1.201c705fa7a9ap6},
421 {0x1.0p1, 0x1.23fffffffffdp6, 0x1.241c0cae201cap6},
422 {0x1.0p1, 0x1.23ffffffffffp6, 0x1.241c0cae201ebp6},
423 {0x1.0p1, 0x1.27ffffffffe08p6, 0x1.281babadfba01p6},
424 {0x1.0p1, 0x1.28p6, 0x1.281babadfbbf9p6},
425 {0x1.0p1, 0x1.2bffffffffc1p6, 0x1.2c1b4d43ac4cfp6},
426 {0x1.0p1, 0x1.2bffffffffc3p6, 0x1.2c1b4d43ac4eep6},
427 {0x1.0p1, 0x1.2ffffffffff64p6, 0x1.301af15517357p6},
428 {0x1.0p1, 0x1.2ffffffffff6cp6, 0x1.301af1551735ep6},
429 {0x1.0p1, 0x1.33ffffffffadp6, 0x1.341a97c97b22ep6},
430 {0x1.0p1, 0x1.33ffffffffafp6, 0x1.341a97c97b24fp6},
431 {0x1.0p1, 0x1.37ffffffffc78p6, 0x1.381a40895d3f5p6},
432 {0x1.0p1, 0x1.37ffffffffc88p6, 0x1.381a40895d406p6},
433 {0x1.0p1, 0x1.3bffffffffffp6, 0x1.3c19eb7e71afcp6},
434 {0x1.0p1, 0x1.3bfffffffffffp6, 0x1.3c19eb7e71b0cp6},
435 {0x1.0p1, 0x1.3fffffffffffdp6, 0x1.4019989389b2dp6},
436 {0x1.0p1, 0x1.4p6, 0x1.4019989389b3p6},
437 {0x1.0p1, 0x1.43fffffffffdp6, 0x1.441947b4829e8p6},
438 {0x1.0p1, 0x1.43ffffffffff8p6, 0x1.441947b482a11p6},
439 {0x1.0p1, 0x1.47fffffffffe8p6, 0x1.4818f8ce34e19p6},
440 {0x1.0p1, 0x1.47ffffffffffap6, 0x1.4818f8ce34e2cp6},
441 {0x1.0p1, 0x1.4bffffffffffp6, 0x1.4c18abce6501fp6},
442 {0x1.0p1, 0x1.4bffffffffffcp6, 0x1.4c18abce6502cp6},
443 {0x1.0p1, 0x1.4fffffffffa64p6, 0x1.501860a3b54bep6},
444 {0x1.0p1, 0x1.4fffffffffe47p6, 0x1.501860a3b58a1p6},
445 {0x1.0p1, 0x1.53ffffffffd5p6, 0x1.5418173d9a501p6},
446 {0x1.0p1, 0x1.53ffffffffd7p6, 0x1.5418173d9a522p6},
447 {0x1.0p1, 0x1.57ffffffffff8p6, 0x1.5817cf8c4c199p6},
448 {0x1.0p1, 0x1.57fffffffffffp6, 0x1.5817cf8c4c1ap6},
449 {0x1.0p1, 0x1.5bffffffff83p6, 0x1.5c178980bc34bp6},
450 {0x1.0p1, 0x1.5bffffffff988p6, 0x1.5c178980bc4a3p6},
451 {0x1.0p1, 0x1.5fffffffffbeep6, 0x1.6017450c8d3e7p6},
452 {0x1.0p1, 0x1.6p6, 0x1.6017450c8d7f9p6},
453 {0x1.0p1, 0x1.63fffffffffdp6, 0x1.6417022204f99p6},
454 {0x1.0p1, 0x1.67fffffffffe8p6, 0x1.6816c0b405afp6},
455 {0x1.0p1, 0x1.68p6, 0x1.6816c0b405b09p6},
456 {0x1.0p1, 0x1.6bfffffffffep6, 0x1.6c1680b6059e8p6},
457 {0x1.0p1, 0x1.6cp6, 0x1.6c1680b605a08p6},
458 {0x1.0p1, 0x1.6fffffffffb78p6, 0x1.7016421c06043p6},
459 {0x1.0p1, 0x1.7p6, 0x1.7016421c064cbp6},
460 {0x1.0p1, 0x1.73fffffffffap6, 0x1.741604da8d2b9p6},
461 {0x1.0p1, 0x1.73ffffffffff8p6, 0x1.741604da8d311p6},
462 {0x1.0p1, 0x1.77ffffffffffp6, 0x1.7815c8e69cc37p6},
463 {0x1.0p1, 0x1.77ffffffffffcp6, 0x1.7815c8e69cc43p6},
464 {0x1.0p1, 0x1.7bfffffffffep6, 0x1.7c158e35adde4p6},
465 {0x1.0p1, 0x1.7bfffffffffe8p6, 0x1.7c158e35addecp6},
466 {0x1.0p1, 0x1.7ffffffffffffp6, 0x1.801554bda99c5p6},
467 {0x1.0p1, 0x1.83ffffffffdap6, 0x1.84151c74e35e4p6},
468 {0x1.0p1, 0x1.83ffffffffdep6, 0x1.84151c74e3625p6},
469 {0x1.0p1, 0x1.87fffffffffdp6, 0x1.8814e55214271p6},
470 {0x1.0p1, 0x1.87ffffffffffcp6, 0x1.8814e5521429ep6},
471 {0x1.0p1, 0x1.8bfffffffffep6, 0x1.8c14af4c540b6p6},
472 {0x1.0p1, 0x1.8bffffffffff6p6, 0x1.8c14af4c540cdp6},
473 {0x1.0p1, 0x1.8ffffffffffe8p6, 0x1.90147a5b16ce5p6},
474 {0x1.0p1, 0x1.8fffffffffffcp6, 0x1.90147a5b16cfap6},
475 {0x1.8p1, 0x1.ffffffffffffdp-1, 0x1.94c583ada5b53p1},
476 {0x1.8p1, 0x1.0p1, 0x1.cd82b446159f3p1},
477 {0x1.8p1, 0x1.7fffffffffff7p1, 0x1.0f876ccdf6cd6p2},
478 {0x1.8p1, 0x1.8p1, 0x1.0f876ccdf6cd9p2},
479 {0x1.8p1, 0x1.fffffffffffffp1, 0x1.4p2},
480 {0x1.8p1, 0x1.3ffffffffffe1p2, 0x1.752e50db3a387p2},
481 {0x1.8p1, 0x1.4p2, 0x1.752e50db3a3a2p2},
482 {0x1.8p1, 0x1.7ffffffffffffp2, 0x1.ad5336963eefap2},
483 {0x1.8p1, 0x1.bfffffffffffep2, 0x1.e768d399dc46dp2},
484 {0x1.8p1, 0x1.bffffffffffffp2, 0x1.e768d399dc46fp2},
485 {0x1.8p1, 0x1.fffffffffffffp2, 0x1.11687a8ae14a3p3},
486 {0x1.8p1, 0x1.1fffffffffff2p3, 0x1.2f9422c23c47p3},
487 {0x1.8p1, 0x1.1fffffffffff7p3, 0x1.2f9422c23c475p3},
488 {0x1.8p1, 0x1.3fffffffffff1p3, 0x1.4e16fdacff928p3},
489 {0x1.8p1, 0x1.3fffffffffff4p3, 0x1.4e16fdacff92bp3},
490 {0x1.8p1, 0x1.5ffffffffffffp3, 0x1.6cdb2bbb212ebp3},
491 {0x1.8p1, 0x1.7fffffffffffdp3, 0x1.8bd171a07e388p3},
492 {0x1.8p1, 0x1.7ffffffffffffp3, 0x1.8bd171a07e389p3},
493 {0x1.8p1, 0x1.9ffffffffffe4p3, 0x1.aaeee979b481cp3},
494 {0x1.8p1, 0x1.9ffffffffffecp3, 0x1.aaeee979b4825p3},
495 {0x1.8p1, 0x1.bffffffffffeep3, 0x1.ca2b9714180e5p3},
496 {0x1.8p1, 0x1.cp3, 0x1.ca2b9714180f7p3},
497 {0x1.8p1, 0x1.dfffffffffffcp3, 0x1.e98180e9b47edp3},
498 {0x1.8p1, 0x1.dfffffffffffep3, 0x1.e98180e9b47efp3},
499 {0x1.8p1, 0x1.fffffffffffffp3, 0x1.04760c95db31p4},
500 {0x1.8p1, 0x1.0fffffffffff4p4, 0x1.1433ec467efefp4},
501 {0x1.8p1, 0x1.1ffffffffffeap4, 0x1.23f8fc68ae515p4},
502 {0x1.8p1, 0x1.2p4, 0x1.23f8fc68ae52bp4},
503 {0x1.8p1, 0x1.2fffffffffffcp4, 0x1.33c42213ee0c5p4},
504 {0x1.8p1, 0x1.3p4, 0x1.33c42213ee0c9p4},
505 {0x1.8p1, 0x1.3ffffffffffd9p4, 0x1.439479381ec96p4},
506 {0x1.8p1, 0x1.3fffffffffff6p4, 0x1.439479381ecb3p4},
507 {0x1.8p1, 0x1.4ffffffffffc4p4, 0x1.53694801747d4p4},
508 {0x1.8p1, 0x1.4ffffffffffccp4, 0x1.53694801747dcp4},
509 {0x1.8p1, 0x1.5ffffffffffbep4, 0x1.6341f58bad9d2p4},
510 {0x1.8p1, 0x1.5ffffffffffc2p4, 0x1.6341f58bad9d7p4},
511 {0x1.8p1, 0x1.6fffffffffff8p4, 0x1.731e02ed21f18p4},
512 {0x1.8p1, 0x1.6ffffffffffffp4, 0x1.731e02ed21f2p4},
513 {0x1.8p1, 0x1.7fffffffffffdp4, 0x1.82fd05f129836p4},
514 {0x1.8p1, 0x1.7ffffffffffffp4, 0x1.82fd05f129837p4},
515 {0x1.8p1, 0x1.8ffffffffffa8p4, 0x1.92dea50d28578p4},
516 {0x1.8p1, 0x1.8ffffffffffffp4, 0x1.92dea50d285cep4},
517 {0x1.8p1, 0x1.9ffffffffffe4p4, 0x1.a2c2943e2866p4},
518 {0x1.8p1, 0x1.9fffffffffffcp4, 0x1.a2c2943e28678p4},
519 {0x1.8p1, 0x1.afffffffffff8p4, 0x1.b2a892946f42dp4},
520 {0x1.8p1, 0x1.afffffffffffep4, 0x1.b2a892946f434p4},
521 {0x1.8p1, 0x1.bffffffffffeep4, 0x1.c2906842b6bf3p4},
522 {0x1.8p1, 0x1.bfffffffffff2p4, 0x1.c2906842b6bf8p4},
523 {0x1.8p1, 0x1.cffffffffffe8p4, 0x1.d279e51208c72p4},
524 {0x1.8p1, 0x1.dp4, 0x1.d279e51208c8ap4},
525 {0x1.8p1, 0x1.dfffffffffff4p4, 0x1.e264df234beddp4},
526 {0x1.8p1, 0x1.dfffffffffffcp4, 0x1.e264df234bee4p4},
527 {0x1.8p1, 0x1.efffffffffff8p4, 0x1.f25131ed54d64p4},
528 {0x1.8p1, 0x1.fp4, 0x1.f25131ed54d6cp4},
529 {0x1.8p1, 0x1.fffffffffffffp4, 0x1.011f5eb54147p5},
530 {0x1.8p1, 0x1.07fffffffff88p5, 0x1.0916b2b5fff3ep5},
531 {0x1.8p1, 0x1.07fffffffffaap5, 0x1.0916b2b5fff6p5},
532 {0x1.8p1, 0x1.0ffffffffffc4p5, 0x1.110e8885865b8p5},
533 {0x1.8p1, 0x1.0ffffffffffccp5, 0x1.110e8885865c1p5},
534 {0x1.8p1, 0x1.17fffffffff58p5, 0x1.1906d51932b7ep5},
535 {0x1.8p1, 0x1.17fffffffff77p5, 0x1.1906d51932b9dp5},
536 {0x1.8p1, 0x1.1fffffffffffap5, 0x1.20ff8e9d967d6p5},
537 {0x1.8p1, 0x1.1fffffffffffep5, 0x1.20ff8e9d967dbp5},
538 {0x1.8p1, 0x1.27fffffffffc8p5, 0x1.28f8ac4cd98f2p5},
539 {0x1.8p1, 0x1.27fffffffffd8p5, 0x1.28f8ac4cd9903p5},
540 {0x1.8p1, 0x1.2ffffffffff7cp5, 0x1.30f2264b9c502p5},
541 {0x1.8p1, 0x1.2ffffffffffafp5, 0x1.30f2264b9c535p5},
542 {0x1.8p1, 0x1.37ffffffffff8p5, 0x1.38ebf58b30cb4p5},
543 {0x1.8p1, 0x1.37fffffffffffp5, 0x1.38ebf58b30cbcp5},
544 {0x1.8p1, 0x1.3fffffffffffdp5, 0x1.40e613b03f1dcp5},
545 {0x1.8p1, 0x1.3ffffffffffffp5, 0x1.40e613b03f1dfp5},
546 {0x1.8p1, 0x1.47fffffffffa1p5, 0x1.48e07afd169d5p5},
547 {0x1.8p1, 0x1.47fffffffffa8p5, 0x1.48e07afd169dbp5},
548 {0x1.8p1, 0x1.4ffffffffff84p5, 0x1.50db263f101e3p5},
549 {0x1.8p1, 0x1.4ffffffffff8cp5, 0x1.50db263f101ecp5},
550 {0x1.8p1, 0x1.57ffffffffff8p5, 0x1.58d610be831eep5},
551 {0x1.8p1, 0x1.58p5, 0x1.58d610be831f7p5},
552 {0x1.8p1, 0x1.5fffffffffffap5, 0x1.60d13630e611p5},
553 {0x1.8p1, 0x1.5fffffffffffep5, 0x1.60d13630e6113p5},
554 {0x1.8p1, 0x1.67fffffffffe8p5, 0x1.68cc92acc47abp5},
555 {0x1.8p1, 0x1.68p5, 0x1.68cc92acc47c3p5},
556 {0x1.8p1, 0x1.6fffffffffff8p5, 0x1.70c8229f43a38p5},
557 {0x1.8p1, 0x1.6fffffffffffap5, 0x1.70c8229f43a3ap5},
558 {0x1.8p1, 0x1.77ffffffffffp5, 0x1.78c3e2c2fb433p5},
559 {0x1.8p1, 0x1.77ffffffffffep5, 0x1.78c3e2c2fb441p5},
560 {0x1.8p1, 0x1.7ffffffffffffp5, 0x1.80bfd017f10a6p5},
561 {0x1.8p1, 0x1.87fffffffff5p5, 0x1.88bbe7dc8d9ap5},
562 {0x1.8p1, 0x1.88p5, 0x1.88bbe7dc8da5p5},
563 {0x1.8p1, 0x1.8ffffffffffe8p5, 0x1.90b8278768b67p5},
564 {0x1.8p1, 0x1.9p5, 0x1.90b8278768b8p5},
565 {0x1.8p1, 0x1.97fffffffff2bp5, 0x1.98b48cc1ce669p5},
566 {0x1.8p1, 0x1.97fffffffff3p5, 0x1.98b48cc1ce66dp5},
567 {0x1.8p1, 0x1.9ffffffffff34p5, 0x1.a0b11562e5efcp5},
568 {0x1.8p1, 0x1.ap5, 0x1.a0b11562e5fc8p5},
569 {0x1.8p1, 0x1.a7fffffffffdp5, 0x1.a8adbf6b63874p5},
570 {0x1.8p1, 0x1.a8p5, 0x1.a8adbf6b638a4p5},
571 {0x1.8p1, 0x1.affffffffffd8p5, 0x1.b0aa8901b442cp5},
572 {0x1.8p1, 0x1.affffffffffe8p5, 0x1.b0aa8901b443dp5},
573 {0x1.8p1, 0x1.b7ffffffffffp5, 0x1.b8a7706e94761p5},
574 {0x1.8p1, 0x1.b7ffffffffffep5, 0x1.b8a7706e9477p5},
575 {0x1.8p1, 0x1.bfffffffffffep5, 0x1.c0a4741a02dcap5},
576 {0x1.8p1, 0x1.cp5, 0x1.c0a4741a02dcdp5},
577 {0x1.8p1, 0x1.c7fffffffffdp5, 0x1.c8a1928885b75p5},
578 {0x1.8p1, 0x1.c7ffffffffff9p5, 0x1.c8a1928885b9fp5},
579 {0x1.8p1, 0x1.cffffffffff28p5, 0x1.d09eca58b7d2cp5},
580 {0x1.8p1, 0x1.dp5, 0x1.d09eca58b7e04p5},
581 {0x1.8p1, 0x1.d7ffffffffffp5, 0x1.d89c1a4115253p5},
582 {0x1.8p1, 0x1.d8p5, 0x1.d89c1a4115264p5},
583 {0x1.8p1, 0x1.dfffffffffffcp5, 0x1.e099810dfefd1p5},
584 {0x1.8p1, 0x1.e7fffffffffdp5, 0x1.e896fd9ff2afep5},
585 {0x1.8p1, 0x1.e7ffffffffffap5, 0x1.e896fd9ff2b29p5},
586 {0x1.8p1, 0x1.effffffffff98p5, 0x1.f0948ee9ebc7bp5},
587 {0x1.8p1, 0x1.effffffffffcap5, 0x1.f0948ee9ebcadp5},
588 {0x1.8p1, 0x1.f7fffffffff7p5, 0x1.f89233efeda08p5},
589 {0x1.8p1, 0x1.f7fffffffffb2p5, 0x1.f89233efeda4ap5},
590 {0x1.8p1, 0x1.ffffffffffda9p5, 0x1.0047f5e2d7ed7p6},
591 {0x1.8p1, 0x1.03ffffffffedp6, 0x1.0446dac6b5468p6},
592 {0x1.8p1, 0x1.04p6, 0x1.0446dac6b5598p6},
593 {0x1.8p1, 0x1.07fffffffffe8p6, 0x1.0845c83b5eb9bp6},
594 {0x1.8p1, 0x1.07ffffffffff9p6, 0x1.0845c83b5ebadp6},
595 {0x1.8p1, 0x1.0bffffffffe9bp6, 0x1.0c44bdded82bdp6},
596 {0x1.8p1, 0x1.0bffffffffebp6, 0x1.0c44bdded82d1p6},
597 {0x1.8p1, 0x1.0fffffffffed4p6, 0x1.1043bb54e5cc9p6},
598 {0x1.8p1, 0x1.0ffffffffff1fp6, 0x1.1043bb54e5d14p6},
599 {0x1.8p1, 0x1.13ffffffffe9p6, 0x1.1442c046a0ea6p6},
600 {0x1.8p1, 0x1.13fffffffff5ap6, 0x1.1442c046a0f7p6},
601 {0x1.8p1, 0x1.17fffffffffa8p6, 0x1.1841cc62174cbp6},
602 {0x1.8p1, 0x1.17fffffffffb8p6, 0x1.1841cc62174dap6},
603 {0x1.8p1, 0x1.1bffffffffffp6, 0x1.1c40df59f1a57p6},
604 {0x1.8p1, 0x1.1cp6, 0x1.1c40df59f1a67p6},
605 {0x1.8p1, 0x1.1fffffffffffap6, 0x1.203ff8e522535p6},
606 {0x1.8p1, 0x1.1ffffffffffffp6, 0x1.203ff8e52253bp6},
607 {0x1.8p1, 0x1.23fffffffffdp6, 0x1.243f18be9a334p6},
608 {0x1.8p1, 0x1.23ffffffffffbp6, 0x1.243f18be9a36p6},
609 {0x1.8p1, 0x1.27fffffffffe8p6, 0x1.283e3ea503c63p6},
610 {0x1.8p1, 0x1.27ffffffffff8p6, 0x1.283e3ea503c74p6},
611 {0x1.8p1, 0x1.2bffffffffdfp6, 0x1.2c3d6a5a83932p6},
612 {0x1.8p1, 0x1.2bffffffffe1p6, 0x1.2c3d6a5a83953p6},
613 {0x1.8p1, 0x1.2fffffffffffcp6, 0x1.303c9ba47e6d4p6},
614 {0x1.8p1, 0x1.3p6, 0x1.303c9ba47e6d8p6},
615 {0x1.8p1, 0x1.33fffffffffdp6, 0x1.343bd24b62468p6},
616 {0x1.8p1, 0x1.33fffffffffffp6, 0x1.343bd24b62498p6},
617 {0x1.8p1, 0x1.37ffffffffff8p6, 0x1.383b0e1a75c0ap6},
618 {0x1.8p1, 0x1.37fffffffffffp6, 0x1.383b0e1a75c12p6},
619 {0x1.8p1, 0x1.3bffffffffffp6, 0x1.3c3a4edfa9748p6},
620 {0x1.8p1, 0x1.3bffffffffffep6, 0x1.3c3a4edfa9756p6},
621 {0x1.8p1, 0x1.3fffffffffd4dp6, 0x1.4039946b6d79fp6},
622 {0x1.8p1, 0x1.3ffffffffffffp6, 0x1.4039946b6da51p6},
623 {0x1.8p1, 0x1.43fffffffff9p6, 0x1.4438de908abeap6},
624 {0x1.8p1, 0x1.43fffffffffbp6, 0x1.4438de908ac0bp6},
625 {0x1.8p1, 0x1.47ffffffffd08p6, 0x1.48382d23fccedp6},
626 {0x1.8p1, 0x1.47fffffffffa2p6, 0x1.48382d23fcf87p6},
627 {0x1.8p1, 0x1.4bffffffffcebp6, 0x1.4c377ffcd212fp6},
628 {0x1.8p1, 0x1.4bffffffffcfp6, 0x1.4c377ffcd2133p6},
629 {0x1.8p1, 0x1.4ffffffffff44p6, 0x1.5036d6f40ad53p6},
630 {0x1.8p1, 0x1.4ffffffffff9bp6, 0x1.5036d6f40adaap6},
631 {0x1.8p1, 0x1.53ffffffffedp6, 0x1.543631e47c1e1p6},
632 {0x1.8p1, 0x1.54p6, 0x1.543631e47c311p6},
633 {0x1.8p1, 0x1.57ffffffffd78p6, 0x1.583590aab542dp6},
634 {0x1.8p1, 0x1.58p6, 0x1.583590aab56b5p6},
635 {0x1.8p1, 0x1.5bffffffffc7p6, 0x1.5c34f324e60eep6},
636 {0x1.8p1, 0x1.5bffffffffc9p6, 0x1.5c34f324e610fp6},
637 {0x1.8p1, 0x1.5fffffffffffdp6, 0x1.60345932c760dp6},
638 {0x1.8p1, 0x1.5fffffffffffep6, 0x1.60345932c760dp6},
639 {0x1.8p1, 0x1.63fffffffff79p6, 0x1.6433c2b58421fp6},
640 {0x1.8p1, 0x1.63fffffffff9p6, 0x1.6433c2b584235p6},
641 {0x1.8p1, 0x1.67ffffffffda8p6, 0x1.68332f8fa63a6p6},
642 {0x1.8p1, 0x1.67fffffffff4dp6, 0x1.68332f8fa654bp6},
643 {0x1.8p1, 0x1.6bfffffffffep6, 0x1.6c329fa502ccfp6},
644 {0x1.8p1, 0x1.6cp6, 0x1.6c329fa502cefp6},
645 {0x1.8p1, 0x1.6fffffffffff8p6, 0x1.703212daa75f3p6},
646 {0x1.8p1, 0x1.6ffffffffffffp6, 0x1.703212daa75fbp6},
647 {0x1.8p1, 0x1.73fffffffffap6, 0x1.74318916ca409p6},
648 {0x1.8p1, 0x1.74p6, 0x1.74318916ca46ap6},
649 {0x1.8p1, 0x1.77ffffffffffp6, 0x1.78310240ba47p6},
650 {0x1.8p1, 0x1.78p6, 0x1.78310240ba481p6},
651 {0x1.8p1, 0x1.7bfffffffffep6, 0x1.7c307e40cff7fp6},
652 {0x1.8p1, 0x1.7bfffffffffe4p6, 0x1.7c307e40cff83p6},
653 {0x1.8p1, 0x1.7fffffffffff7p6, 0x1.802ffd005ff07p6},
654 {0x1.8p1, 0x1.7fffffffffff9p6, 0x1.802ffd005ff0ap6},
655 {0x1.8p1, 0x1.83fffffffffap6, 0x1.842f7e69adc1ep6},
656 {0x1.8p1, 0x1.83fffffffffffp6, 0x1.842f7e69adc7dp6},
657 {0x1.8p1, 0x1.87fffffffffdp6, 0x1.882f0267dfef4p6},
658 {0x1.8p1, 0x1.88p6, 0x1.882f0267dff24p6},
659 {0x1.8p1, 0x1.8bfffffffffep6, 0x1.8c2e88e6f449ap6},
660 {0x1.8p1, 0x1.8bffffffffff6p6, 0x1.8c2e88e6f44b1p6},
661 {0x1.8p1, 0x1.8ffffffffffe8p6, 0x1.902e11d3b5549p6},
662 {0x1.8p1, 0x1.8fffffffffffep6, 0x1.902e11d3b556p6},
663
664 // Test near decision points of the fdlibm algorithm
665 {0x1.0000000000001p501, 0x1.000000000000p501, 0x1.6a09e667f3bcdp501},
666 {0x1.0p501, 0x1.0p499, 0x1.07e0f66afed07p501},
667
668 {0x1.0p500, 0x1.0p450, 0x1.0p500},
669 {0x1.0000000000001p500, 0x1.0p450, 0x1.0000000000001p500},
670
671 {0x1.0p500, 0x1.0p440, 0x1.0p500},
672 {0x1.0000000000001p500, 0x1.0p440, 0x1.0000000000001p500},
673 {0x1.0p500, 0x1.0p439, 0x1.0p500},
674 {0x1.0000000000001p500, 0x1.0p439, 0x1.0000000000001p500},
675
676 {0x1.0p-450, 0x1.0p-500, 0x1.0p-450},
677 {0x1.0000000000001p-450, 0x1.0p-500, 0x1.0000000000001p-450},
678 {0x1.0p-450, 0x1.fffffffffffffp-499, 0x1.0p-450},
679 {0x1.0000000000001p-450, 0x1.fffffffffffffp-499, 0x1.0000000000001p-450},
680
681
682 {0x1.0p-450, 0x1.0p-500, 0x1.0p-450},
683 {0x1.0000000000001p-450, 0x1.0p-500, 0x1.0000000000001p-450},
684 {0x1.0p-450, 0x1.fffffffffffffp-499, 0x1.0p-450},
685 {0x1.0000000000001p-450, 0x1.fffffffffffffp-499, 0x1.0000000000001p-450},
686
687 {0x1.00000_ffff_0000p500, 0x1.fffffffffffffp499, 0x1.6a09f1b837ccfp500},
688 {0x1.00000_0000_0001p500, 0x1.fffffffffffffp499, 0x1.6a09e667f3bcdp500},
689 {0x1.00000_ffff_ffffp500, 0x1.fffffffffffffp499, 0x1.6a09f1b8431d3p500},
690 {0x1.00001_0000_0000p500, 0x1.fffffffffffffp499, 0x1.6a09f1b8431d5p500},
691
692
693 // 0x1.0p-1022 is MIN_NORMAL
694 {0x1.0000000000001p-1022, 0x1.0000000000001p-1022, 0x1.6a09e667f3bcep-1022},
695 {0x1.0000000000001p-1022, 0x1.0p-1022, 0x1.6a09e667f3bcdp-1022},
696 {0x1.0000000000001p-1022, 0x0.fffffffffffffp-1022, 0x1.6a09e667f3bcdp-1022},
697 {0x1.0000000000001p-1022, 0x0.0000000000001P-1022, 0x1.0000000000001p-1022},
698 {0x1.0000000000001p-1022, 0.0, 0x1.0000000000001p-1022},
699
700 {0x1.0000000000000p-1022, 0x0.fffffffffffffp-1022, 0x1.6a09e667f3bccp-1022},
701 {0x1.0000000000000p-1021, 0x0.fffffffffffffp-1022, 0x1.1e3779b97f4a8p-1021},
702 {0x1.0000000000000p-1020, 0x0.fffffffffffffp-1022, 0x1.07e0f66afed07p-1020},
703
704 // 0x0.0000000000001P-1022 is MIN_VALUE (smallest nonzero number)
705 {0x0.0000000000001p-1022, 0x0.0000000000001p-1022, 0x0.0000000000001p-1022},
706 {0x0.0000000000002p-1022, 0x0.0000000000001p-1022, 0x0.0000000000002p-1022},
707 {0x0.0000000000003p-1022, 0x0.0000000000002p-1022, 0x0.0000000000004p-1022},
708 };
709
710 for (double[] testCase: testCases)
711 failures += testHypotCase(testCase[0], testCase[1], testCase[2]);
712
713 return failures;
714 }
715
716 // Initialize shared random number generator
717 private static java.util.Random random = RandomFactory.getRandom();
718
719 /**
720 * Test StrictMath.hypot against transliteration port of hypot.
721 */
722 private static int testAgainstTranslit() {
723 int failures = 0;
724 double x = Tests.createRandomDouble(random);
725 double y = Tests.createRandomDouble(random);
726
727 // Make the increment twice the ulp value in case the random
728 // value is near an exponent threshold.
729 double increment_x = 2.0 * Math.ulp(x);
730 double increment_y = 2.0 * Math.ulp(y);
731
732 // Don't worry about x or y overflowing to infinity if their
733 // exponent is MAX_EXPONENT.
734 for (int i = 0; i < 200; i++, x += increment_x) {
735 for (int j = 0; j < 200; j++, y += increment_y) {
736 failures += testHypotCase(x, y, FdlibmTranslit.hypot(x, y));
737 }
738 }
739
740 return failures;
741 }
742 }