4 long double __gcc_qadd(long double x
, long double y
);
9 int main(int argc
, char *argv
[]) {
13 if (testAccuracy() > 1.0)
20 double xhi
; double xlo
;
21 double yhi
; double ylo
;
22 double rhi
; double rlo
;
25 #define INFINITY __builtin_inf()
26 #define HUGE 0x1.fffffffffffffp1023
27 #define QNAN __builtin_nan("")
29 const struct testVector edgeCases
[] = {
30 { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 },
31 { -0.0, 0.0, 0.0, 0.0, 0.0, 0.0 },
32 { 0.0, 0.0, -0.0, 0.0, 0.0, 0.0 },
33 { -0.0, 0.0, -0.0, 0.0, -0.0, 0.0 },
35 { INFINITY
, 0.0, 0.0, 0.0, INFINITY
, 0.0 },
36 { -INFINITY
, 0.0, 0.0, 0.0, -INFINITY
, 0.0 },
37 { INFINITY
, 0.0, -0.0, 0.0, INFINITY
, 0.0 },
38 { -INFINITY
, 0.0, -0.0, 0.0, -INFINITY
, 0.0 },
39 { INFINITY
, 0.0, 1.0, 0.0, INFINITY
, 0.0 },
40 { -INFINITY
, 0.0, 1.0, 0.0, -INFINITY
, 0.0 },
41 { INFINITY
, 0.0, -1.0, 0.0, INFINITY
, 0.0 },
42 { -INFINITY
, 0.0, -1.0, 0.0, -INFINITY
, 0.0 },
43 { INFINITY
, 0.0, HUGE
, 0.0, INFINITY
, 0.0 },
44 { -INFINITY
, 0.0, HUGE
, 0.0, -INFINITY
, 0.0 },
45 { INFINITY
, 0.0, -HUGE
, 0.0, INFINITY
, 0.0 },
46 { -INFINITY
, 0.0, -HUGE
, 0.0, -INFINITY
, 0.0 },
47 { INFINITY
, 0.0, INFINITY
, 0.0, INFINITY
, 0.0 },
48 { -INFINITY
, 0.0, INFINITY
, 0.0, QNAN
, 0.0 },
49 { INFINITY
, 0.0, -INFINITY
, 0.0, QNAN
, 0.0 },
50 { -INFINITY
, 0.0, -INFINITY
, 0.0, -INFINITY
, 0.0 },
51 { 0.0, 0.0, INFINITY
, 0.0, INFINITY
, 0.0 },
52 { 0.0, 0.0, -INFINITY
, 0.0, -INFINITY
, 0.0 },
53 { -0.0, 0.0, INFINITY
, 0.0, INFINITY
, 0.0 },
54 { -0.0, 0.0, -INFINITY
, 0.0, -INFINITY
, 0.0 },
55 { 1.0, 0.0, INFINITY
, 0.0, INFINITY
, 0.0 },
56 { 1.0, 0.0, -INFINITY
, 0.0, -INFINITY
, 0.0 },
57 { -1.0, 0.0, INFINITY
, 0.0, INFINITY
, 0.0 },
58 { -1.0, 0.0, -INFINITY
, 0.0, -INFINITY
, 0.0 },
59 { HUGE
, 0.0, INFINITY
, 0.0, INFINITY
, 0.0 },
60 { HUGE
, 0.0, -INFINITY
, 0.0, -INFINITY
, 0.0 },
61 { -HUGE
, 0.0, INFINITY
, 0.0, INFINITY
, 0.0 },
62 { -HUGE
, 0.0, -INFINITY
, 0.0, -INFINITY
, 0.0 },
64 { QNAN
, 0.0, 0.0, 0.0, QNAN
, 0.0 },
65 { -QNAN
, 0.0, 0.0, 0.0, QNAN
, 0.0 },
66 { QNAN
, 0.0, -0.0, 0.0, QNAN
, 0.0 },
67 { -QNAN
, 0.0, -0.0, 0.0, QNAN
, 0.0 },
68 { QNAN
, 0.0, 1.0, 0.0, QNAN
, 0.0 },
69 { -QNAN
, 0.0, 1.0, 0.0, QNAN
, 0.0 },
70 { QNAN
, 0.0, -1.0, 0.0, QNAN
, 0.0 },
71 { -QNAN
, 0.0, -1.0, 0.0, QNAN
, 0.0 },
72 { QNAN
, 0.0, HUGE
, 0.0, QNAN
, 0.0 },
73 { -QNAN
, 0.0, HUGE
, 0.0, QNAN
, 0.0 },
74 { QNAN
, 0.0, -HUGE
, 0.0, QNAN
, 0.0 },
75 { -QNAN
, 0.0, -HUGE
, 0.0, QNAN
, 0.0 },
76 { QNAN
, 0.0, INFINITY
, 0.0, QNAN
, 0.0 },
77 { -QNAN
, 0.0, INFINITY
, 0.0, QNAN
, 0.0 },
78 { QNAN
, 0.0, -INFINITY
, 0.0, QNAN
, 0.0 },
79 { -QNAN
, 0.0, -INFINITY
, 0.0, QNAN
, 0.0 },
80 { QNAN
, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
81 { -QNAN
, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
82 { QNAN
, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
83 { -QNAN
, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
84 { 0.0, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
85 { 0.0, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
86 { -0.0, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
87 { -0.0, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
88 { 1.0, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
89 { 1.0, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
90 { -1.0, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
91 { -1.0, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
92 { HUGE
, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
93 { HUGE
, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
94 { -HUGE
, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
95 { -HUGE
, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
96 { INFINITY
, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
97 { INFINITY
, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
98 { -INFINITY
, 0.0, QNAN
, 0.0, QNAN
, 0.0 },
99 { -INFINITY
, 0.0, -QNAN
, 0.0, QNAN
, 0.0 },
102 const int numEdgeCases
= sizeof(edgeCases
) / sizeof(struct testVector
);
105 int testEdgeCases() {
108 for (i
=0; i
<numEdgeCases
; ++i
) {
109 a
.hi
= edgeCases
[i
].xhi
;
110 a
.lo
= edgeCases
[i
].xlo
;
111 b
.hi
= edgeCases
[i
].yhi
;
112 b
.lo
= edgeCases
[i
].ylo
;
113 r
.hi
= edgeCases
[i
].rhi
;
114 r
.lo
= edgeCases
[i
].rlo
;
118 DD c
= { .ld
= __gcc_qadd(a
.ld
, b
.ld
) };
123 else if (c
.lo
!= 0.0)
129 else if (r
.hi
== 0.0)
130 error
= memcmp(&c
, &r
, sizeof(DD
));
133 error
= ((c
.hi
!= r
.hi
) || (c
.lo
!= r
.lo
));
136 printf("Error on edge case %a + %a: expected (%a, %a), got (%a, %a).\n", a
.hi
, b
.hi
, r
.hi
, r
.lo
, c
.hi
, c
.lo
);
147 Code for generating the test cases, requires the mpfr package to run.
160 int main(int argc, char *argv[]) {
162 MPFR_DECL_INIT(a, 106);
163 MPFR_DECL_INIT(b, 106);
164 MPFR_DECL_INIT(c, 106);
166 MPFR_DECL_INIT(tmp, 53);
168 int exponent_range = atoi(argv[1]);
171 for (i=0; i<128; ++i) {
172 mpfr_random2(a, randlength, exponent_range);
173 mpfr_random2(b, randlength, exponent_range);
174 mpfr_add(c, a, b, GMP_RNDN);
176 double ahi = mpfr_get_d(a, GMP_RNDN);
177 mpfr_set_d(tmp, ahi, GMP_RNDN);
178 mpfr_sub(tmp, a, tmp, GMP_RNDN);
179 double alo = mpfr_get_d(tmp, GMP_RNDN);
180 printf("{%0.13a, %0.13a, ", ahi, alo);
182 double bhi = mpfr_get_d(b, GMP_RNDN);
183 mpfr_set_d(tmp, bhi, GMP_RNDN);
184 mpfr_sub(tmp, b, tmp, GMP_RNDN);
185 double blo = mpfr_get_d(tmp, GMP_RNDN);
186 printf("%0.13a, %0.13a, ", bhi, blo);
188 double chi = mpfr_get_d(c, GMP_RNDN);
189 mpfr_set_d(tmp, chi, GMP_RNDN);
190 mpfr_sub(tmp, c, tmp, GMP_RNDN);
191 double clo = mpfr_get_d(tmp, GMP_RNDN);
192 printf("%0.13a, %0.13a},\n", chi, clo);
194 mpfr_neg(b, b, GMP_RNDN);
195 mpfr_add(c, a, b, GMP_RNDN);
197 ahi = mpfr_get_d(a, GMP_RNDN);
198 mpfr_set_d(tmp, ahi, GMP_RNDN);
199 mpfr_sub(tmp, a, tmp, GMP_RNDN);
200 alo = mpfr_get_d(tmp, GMP_RNDN);
201 printf("{%0.13a, %0.13a, ", ahi, alo);
203 bhi = mpfr_get_d(b, GMP_RNDN);
204 mpfr_set_d(tmp, bhi, GMP_RNDN);
205 mpfr_sub(tmp, b, tmp, GMP_RNDN);
206 blo = mpfr_get_d(tmp, GMP_RNDN);
207 printf("%0.13a, %0.13a, ", bhi, blo);
209 chi = mpfr_get_d(c, GMP_RNDN);
210 mpfr_set_d(tmp, chi, GMP_RNDN);
211 mpfr_sub(tmp, c, tmp, GMP_RNDN);
212 clo = mpfr_get_d(tmp, GMP_RNDN);
213 printf("%0.13a, %0.13a},\n", chi, clo);
215 mpfr_neg(a, a, GMP_RNDN);
216 mpfr_neg(b, b, GMP_RNDN);
217 mpfr_add(c, a, b, GMP_RNDN);
219 ahi = mpfr_get_d(a, GMP_RNDN);
220 mpfr_set_d(tmp, ahi, GMP_RNDN);
221 mpfr_sub(tmp, a, tmp, GMP_RNDN);
222 alo = mpfr_get_d(tmp, GMP_RNDN);
223 printf("{%0.13a, %0.13a, ", ahi, alo);
225 bhi = mpfr_get_d(b, GMP_RNDN);
226 mpfr_set_d(tmp, bhi, GMP_RNDN);
227 mpfr_sub(tmp, b, tmp, GMP_RNDN);
228 blo = mpfr_get_d(tmp, GMP_RNDN);
229 printf("%0.13a, %0.13a, ", bhi, blo);
231 chi = mpfr_get_d(c, GMP_RNDN);
232 mpfr_set_d(tmp, chi, GMP_RNDN);
233 mpfr_sub(tmp, c, tmp, GMP_RNDN);
234 clo = mpfr_get_d(tmp, GMP_RNDN);
235 printf("%0.13a, %0.13a},\n", chi, clo);
237 mpfr_neg(b, b, GMP_RNDN);
238 mpfr_add(c, a, b, GMP_RNDN);
240 ahi = mpfr_get_d(a, GMP_RNDN);
241 mpfr_set_d(tmp, ahi, GMP_RNDN);
242 mpfr_sub(tmp, a, tmp, GMP_RNDN);
243 alo = mpfr_get_d(tmp, GMP_RNDN);
244 printf("{%0.13a, %0.13a, ", ahi, alo);
246 bhi = mpfr_get_d(b, GMP_RNDN);
247 mpfr_set_d(tmp, bhi, GMP_RNDN);
248 mpfr_sub(tmp, b, tmp, GMP_RNDN);
249 blo = mpfr_get_d(tmp, GMP_RNDN);
250 printf("%0.13a, %0.13a, ", bhi, blo);
252 chi = mpfr_get_d(c, GMP_RNDN);
253 mpfr_set_d(tmp, chi, GMP_RNDN);
254 mpfr_sub(tmp, c, tmp, GMP_RNDN);
255 clo = mpfr_get_d(tmp, GMP_RNDN);
256 printf("%0.13a, %0.13a},\n", chi, clo);
265 const struct testVector accuracyTests
[] = {
266 // Some test cases that cover the whole exponent range:
267 {0x1.0000000000002p
+366, -0x1.ffc0ffff90000p
+302, 0x1.0003ffffffffcp
+140, 0x1.ffffc00000000p
+53, 0x1.0000000000002p
+366, -0x1.ffc0ffff90000p
+302},
268 {0x1.0000000000002p
+366, -0x1.ffc0ffff90000p
+302, -0x1.0003ffffffffcp
+140, -0x1.ffffc00000000p
+53, 0x1.0000000000002p
+366, -0x1.ffc0ffff90000p
+302},
269 {-0x1.0000000000002p
+366, 0x1.ffc0ffff90000p
+302, 0x1.0003ffffffffcp
+140, 0x1.ffffc00000000p
+53, -0x1.0000000000002p
+366, 0x1.ffc0ffff90000p
+302},
270 {-0x1.0000000000002p
+366, 0x1.ffc0ffff90000p
+302, -0x1.0003ffffffffcp
+140, -0x1.ffffc00000000p
+53, -0x1.0000000000002p
+366, 0x1.ffc0ffff90000p
+302},
271 {0x1.0000100000000p
-746, -0x1.0000000000000p
-808, 0x1.0000000004000p
-636, -0x1.ffffe00fc0200p
-692, 0x1.0000000004000p
-636, -0x1.ffffe00fc0200p
-692},
272 {0x1.0000100000000p
-746, -0x1.0000000000000p
-808, -0x1.0000000004000p
-636, 0x1.ffffe00fc0200p
-692, -0x1.0000000004000p
-636, 0x1.ffffe00fc0200p
-692},
273 {-0x1.0000100000000p
-746, 0x1.0000000000000p
-808, 0x1.0000000004000p
-636, -0x1.ffffe00fc0200p
-692, 0x1.0000000004000p
-636, -0x1.ffffe00fc0200p
-692},
274 {-0x1.0000100000000p
-746, 0x1.0000000000000p
-808, -0x1.0000000004000p
-636, 0x1.ffffe00fc0200p
-692, -0x1.0000000004000p
-636, 0x1.ffffe00fc0200p
-692},
275 {0x1.0000000800000p
+426, -0x1.0000000000000p
+354, 0x1.000003fffc002p
-730, -0x1.0000000000000p
-835, 0x1.0000000800000p
+426, -0x1.0000000000000p
+354},
276 {0x1.0000000800000p
+426, -0x1.0000000000000p
+354, -0x1.000003fffc002p
-730, 0x1.0000000000000p
-835, 0x1.0000000800000p
+426, -0x1.0000000000000p
+354},
277 {-0x1.0000000800000p
+426, 0x1.0000000000000p
+354, 0x1.000003fffc002p
-730, -0x1.0000000000000p
-835, -0x1.0000000800000p
+426, 0x1.0000000000000p
+354},
278 {-0x1.0000000800000p
+426, 0x1.0000000000000p
+354, -0x1.000003fffc002p
-730, 0x1.0000000000000p
-835, -0x1.0000000800000p
+426, 0x1.0000000000000p
+354},
279 {0x1.0000000000000p
-262, 0x1.ffc001ffffe00p
-317, 0x1.000003fff8000p
-258, 0x1.fffc000fc0000p
-329, 0x1.100003fff8000p
-258, 0x1.ffe001c000dc0p
-317},
280 {0x1.0000000000000p
-262, 0x1.ffc001ffffe00p
-317, -0x1.000003fff8000p
-258, -0x1.fffc000fc0000p
-329, -0x1.e00007fff0000p
-259, 0x1.ffa0023ffee40p
-317},
281 {-0x1.0000000000000p
-262, -0x1.ffc001ffffe00p
-317, 0x1.000003fff8000p
-258, 0x1.fffc000fc0000p
-329, 0x1.e00007fff0000p
-259, -0x1.ffa0023ffee40p
-317},
282 {-0x1.0000000000000p
-262, -0x1.ffc001ffffe00p
-317, -0x1.000003fff8000p
-258, -0x1.fffc000fc0000p
-329, -0x1.100003fff8000p
-258, -0x1.ffe001c000dc0p
-317},
283 {0x1.0000000000003p
+980, 0x1.fc00001fff800p
+916, 0x1.0000000000020p
+626, -0x1.fc01ffe002000p
+562, 0x1.0000000000003p
+980, 0x1.fc00001fff800p
+916},
284 {0x1.0000000000003p
+980, 0x1.fc00001fff800p
+916, -0x1.0000000000020p
+626, 0x1.fc01ffe002000p
+562, 0x1.0000000000003p
+980, 0x1.fc00001fff800p
+916},
285 {-0x1.0000000000003p
+980, -0x1.fc00001fff800p
+916, 0x1.0000000000020p
+626, -0x1.fc01ffe002000p
+562, -0x1.0000000000003p
+980, -0x1.fc00001fff800p
+916},
286 {-0x1.0000000000003p
+980, -0x1.fc00001fff800p
+916, -0x1.0000000000020p
+626, 0x1.fc01ffe002000p
+562, -0x1.0000000000003p
+980, -0x1.fc00001fff800p
+916},
287 {0x1.0000000000000p
-800, 0x1.fffff00001ffep
-854, 0x1.0000000000000p
+470, 0x1.ff00000ffff80p
+410, 0x1.0000000000000p
+470, 0x1.ff00000ffff80p
+410},
288 {0x1.0000000000000p
-800, 0x1.fffff00001ffep
-854, -0x1.0000000000000p
+470, -0x1.ff00000ffff80p
+410, -0x1.0000000000000p
+470, -0x1.ff00000ffff80p
+410},
289 {-0x1.0000000000000p
-800, -0x1.fffff00001ffep
-854, 0x1.0000000000000p
+470, 0x1.ff00000ffff80p
+410, 0x1.0000000000000p
+470, 0x1.ff00000ffff80p
+410},
290 {-0x1.0000000000000p
-800, -0x1.fffff00001ffep
-854, -0x1.0000000000000p
+470, -0x1.ff00000ffff80p
+410, -0x1.0000000000000p
+470, -0x1.ff00000ffff80p
+410},
291 {0x1.0000000000000p
+925, 0x1.ffffffffffc00p
+862, 0x1.0000200000000p
-454, -0x1.ffc0000080000p
-526, 0x1.0000000000000p
+925, 0x1.ffffffffffc00p
+862},
292 {0x1.0000000000000p
+925, 0x1.ffffffffffc00p
+862, -0x1.0000200000000p
-454, 0x1.ffc0000080000p
-526, 0x1.0000000000000p
+925, 0x1.ffffffffffc00p
+862},
293 {-0x1.0000000000000p
+925, -0x1.ffffffffffc00p
+862, 0x1.0000200000000p
-454, -0x1.ffc0000080000p
-526, -0x1.0000000000000p
+925, -0x1.ffffffffffc00p
+862},
294 {-0x1.0000000000000p
+925, -0x1.ffffffffffc00p
+862, -0x1.0000200000000p
-454, 0x1.ffc0000080000p
-526, -0x1.0000000000000p
+925, -0x1.ffffffffffc00p
+862},
295 {0x1.0000000000800p
+265, -0x1.fffc000000010p
+208, 0x1.0000000000008p
-204, -0x1.ffe03fffff010p
-261, 0x1.0000000000800p
+265, -0x1.fffc000000010p
+208},
296 {0x1.0000000000800p
+265, -0x1.fffc000000010p
+208, -0x1.0000000000008p
-204, 0x1.ffe03fffff010p
-261, 0x1.0000000000800p
+265, -0x1.fffc000000010p
+208},
297 {-0x1.0000000000800p
+265, 0x1.fffc000000010p
+208, 0x1.0000000000008p
-204, -0x1.ffe03fffff010p
-261, -0x1.0000000000800p
+265, 0x1.fffc000000010p
+208},
298 {-0x1.0000000000800p
+265, 0x1.fffc000000010p
+208, -0x1.0000000000008p
-204, 0x1.ffe03fffff010p
-261, -0x1.0000000000800p
+265, 0x1.fffc000000010p
+208},
299 {0x1.0000000000000p
-690, 0x1.fffef0ffff000p
-753, 0x1.0000100000000p
+763, -0x1.fff8000000800p
+699, 0x1.0000100000000p
+763, -0x1.fff8000000800p
+699},
300 {0x1.0000000000000p
-690, 0x1.fffef0ffff000p
-753, -0x1.0000100000000p
+763, 0x1.fff8000000800p
+699, -0x1.0000100000000p
+763, 0x1.fff8000000800p
+699},
301 {-0x1.0000000000000p
-690, -0x1.fffef0ffff000p
-753, 0x1.0000100000000p
+763, -0x1.fff8000000800p
+699, 0x1.0000100000000p
+763, -0x1.fff8000000800p
+699},
302 {-0x1.0000000000000p
-690, -0x1.fffef0ffff000p
-753, -0x1.0000100000000p
+763, 0x1.fff8000000800p
+699, -0x1.0000100000000p
+763, 0x1.fff8000000800p
+699},
303 {0x1.07c00007ffff0p
-506, 0x1.fffc00f800000p
-582, 0x1.0000007ffffe0p
-302, 0x1.f000000000000p
-373, 0x1.0000007ffffe0p
-302, 0x1.f000000000000p
-373},
304 {0x1.07c00007ffff0p
-506, 0x1.fffc00f800000p
-582, -0x1.0000007ffffe0p
-302, -0x1.f000000000000p
-373, -0x1.0000007ffffe0p
-302, -0x1.f000000000000p
-373},
305 {-0x1.07c00007ffff0p
-506, -0x1.fffc00f800000p
-582, 0x1.0000007ffffe0p
-302, 0x1.f000000000000p
-373, 0x1.0000007ffffe0p
-302, 0x1.f000000000000p
-373},
306 {-0x1.07c00007ffff0p
-506, -0x1.fffc00f800000p
-582, -0x1.0000007ffffe0p
-302, -0x1.f000000000000p
-373, -0x1.0000007ffffe0p
-302, -0x1.f000000000000p
-373},
307 {0x1.0000000000000p
-958, 0x1.ff800fffff800p
-1014, 0x1.0000000000000p
+373, 0x1.fffc0000ffff8p
+317, 0x1.0000000000000p
+373, 0x1.fffc0000ffff8p
+317},
308 {0x1.0000000000000p
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-935, 0x1.000007f830000p
-977, 0x1.fff0001000000p
-1038, -0x1.0000000000000p
-874, -0x1.fffe7ff3dfb00p
-935},
766 {-0x1.0000000000000p
-874, -0x1.fffe7ff3dff00p
-935, -0x1.000007f830000p
-977, -0x1.fff0001000000p
-1038, -0x1.0000000000000p
-874, -0x1.fffe7ff3e0300p
-935},
767 {0x1.00000ffffe000p
-269, 0x1.fffffffffc000p
-336, 0x1.0000000000002p
+226, -0x1.fffffe01f8004p
+171, 0x1.0000000000002p
+226, -0x1.fffffe01f8004p
+171},
768 {0x1.00000ffffe000p
-269, 0x1.fffffffffc000p
-336, -0x1.0000000000002p
+226, 0x1.fffffe01f8004p
+171, -0x1.0000000000002p
+226, 0x1.fffffe01f8004p
+171},
769 {-0x1.00000ffffe000p
-269, -0x1.fffffffffc000p
-336, 0x1.0000000000002p
+226, -0x1.fffffe01f8004p
+171, 0x1.0000000000002p
+226, -0x1.fffffe01f8004p
+171},
770 {-0x1.00000ffffe000p
-269, -0x1.fffffffffc000p
-336, -0x1.0000000000002p
+226, 0x1.fffffe01f8004p
+171, -0x1.0000000000002p
+226, 0x1.fffffe01f8004p
+171},
771 {0x1.0000000000060p
+403, 0x1.fffe3fff00000p
+340, 0x1.0000000002000p
+783, -0x1.ffe0002000000p
+726, 0x1.0000000002000p
+783, -0x1.ffe0002000000p
+726},
772 {0x1.0000000000060p
+403, 0x1.fffe3fff00000p
+340, -0x1.0000000002000p
+783, 0x1.ffe0002000000p
+726, -0x1.0000000002000p
+783, 0x1.ffe0002000000p
+726},
773 {-0x1.0000000000060p
+403, -0x1.fffe3fff00000p
+340, 0x1.0000000002000p
+783, -0x1.ffe0002000000p
+726, 0x1.0000000002000p
+783, -0x1.ffe0002000000p
+726},
774 {-0x1.0000000000060p
+403, -0x1.fffe3fff00000p
+340, -0x1.0000000002000p
+783, 0x1.ffe0002000000p
+726, -0x1.0000000002000p
+783, 0x1.ffe0002000000p
+726},
775 {0x1.0003ffffffff8p
-273, 0x1.ffffe07e00000p
-347, 0x1.07ff000008000p
-591, -0x1.e000020000000p
-652, 0x1.0003ffffffff8p
-273, 0x1.ffffe07e00000p
-347},
776 {0x1.0003ffffffff8p
-273, 0x1.ffffe07e00000p
-347, -0x1.07ff000008000p
-591, 0x1.e000020000000p
-652, 0x1.0003ffffffff8p
-273, 0x1.ffffe07e00000p
-347},
777 {-0x1.0003ffffffff8p
-273, -0x1.ffffe07e00000p
-347, 0x1.07ff000008000p
-591, -0x1.e000020000000p
-652, -0x1.0003ffffffff8p
-273, -0x1.ffffe07e00000p
-347},
778 {-0x1.0003ffffffff8p
-273, -0x1.ffffe07e00000p
-347, -0x1.07ff000008000p
-591, 0x1.e000020000000p
-652, -0x1.0003ffffffff8p
-273, -0x1.ffffe07e00000p
-347},
779 // Some test cases where a and b are guaranteed to overlap:
780 {0x1.0000000000002p
-39, -0x1.ffc0ffff90000p
-103, 0x1.0003ffffffffcp
-35, 0x1.ffffc00000000p
-122, 0x1.1003ffffffffcp
-35, 0x1.ffe003f400068p
-91},
781 {0x1.0000000000002p
-39, -0x1.ffc0ffff90000p
-103, -0x1.0003ffffffffcp
-35, -0x1.ffffc00000000p
-122, -0x1.e007ffffffff8p
-36, 0x1.ffe003ec00078p
-91},
782 {-0x1.0000000000002p
-39, 0x1.ffc0ffff90000p
-103, 0x1.0003ffffffffcp
-35, 0x1.ffffc00000000p
-122, 0x1.e007ffffffff8p
-36, -0x1.ffe003ec00078p
-91},
783 {-0x1.0000000000002p
-39, 0x1.ffc0ffff90000p
-103, -0x1.0003ffffffffcp
-35, -0x1.ffffc00000000p
-122, -0x1.1003ffffffffcp
-35, -0x1.ffe003f400068p
-91},
784 {0x1.0000100000000p
+23, -0x1.0000000000000p
-39, 0x1.0000000004000p
-41, -0x1.ffffe00fc0200p
-97, 0x1.0000100000000p
+23, -0x1.7ffffffffe000p
-40},
785 {0x1.0000100000000p
+23, -0x1.0000000000000p
-39, -0x1.0000000004000p
-41, 0x1.ffffe00fc0200p
-97, 0x1.0000100000000p
+23, -0x1.4000000001000p
-39},
786 {-0x1.0000100000000p
+23, 0x1.0000000000000p
-39, 0x1.0000000004000p
-41, -0x1.ffffe00fc0200p
-97, -0x1.0000100000000p
+23, 0x1.4000000001000p
-39},
787 {-0x1.0000100000000p
+23, 0x1.0000000000000p
-39, -0x1.0000000004000p
-41, 0x1.ffffe00fc0200p
-97, -0x1.0000100000000p
+23, 0x1.7ffffffffe000p
-40},
788 {0x1.0000000800000p
-42, -0x1.0000000000000p
-114, 0x1.000003fffc002p
-41, -0x1.0000000000000p
-146, 0x1.80000403fc002p
-41, -0x1.0000000100000p
-114},
789 {0x1.0000000800000p
-42, -0x1.0000000000000p
-114, -0x1.000003fffc002p
-41, 0x1.0000000000000p
-146, -0x1.000007f7f8004p
-42, -0x1.fffffffe00000p
-115},
790 {-0x1.0000000800000p
-42, 0x1.0000000000000p
-114, 0x1.000003fffc002p
-41, -0x1.0000000000000p
-146, 0x1.000007f7f8004p
-42, 0x1.fffffffe00000p
-115},
791 {-0x1.0000000800000p
-42, 0x1.0000000000000p
-114, -0x1.000003fffc002p
-41, 0x1.0000000000000p
-146, -0x1.80000403fc002p
-41, 0x1.0000000100000p
-114},
792 {0x1.0000000000000p
+46, 0x1.ffc001ffffe00p
-9, 0x1.000003fff8000p
-19, 0x1.fffc000fc0000p
-90, 0x1.0000000000000p
+46, 0x1.000001007fef0p
-8},
793 {0x1.0000000000000p
+46, 0x1.ffc001ffffe00p
-9, -0x1.000003fff8000p
-19, -0x1.fffc000fc0000p
-90, 0x1.0000000000000p
+46, 0x1.ff8001feffe20p
-9},
794 {-0x1.0000000000000p
+46, -0x1.ffc001ffffe00p
-9, 0x1.000003fff8000p
-19, 0x1.fffc000fc0000p
-90, -0x1.0000000000000p
+46, -0x1.ff8001feffe20p
-9},
795 {-0x1.0000000000000p
+46, -0x1.ffc001ffffe00p
-9, -0x1.000003fff8000p
-19, -0x1.fffc000fc0000p
-90, -0x1.0000000000000p
+46, -0x1.000001007fef0p
-8},
796 {0x1.0000000000003p
+33, 0x1.fc00001fff800p
-31, 0x1.0000000000020p
+40, -0x1.fc01ffe002000p
-24, 0x1.0200000000020p
+40, 0x1.781fd80080f80p
-18},
797 {0x1.0000000000003p
+33, 0x1.fc00001fff800p
-31, -0x1.0000000000020p
+40, 0x1.fc01ffe002000p
-24, -0x1.fc00000000040p
+39, 0x1.87ffe7ff81080p
-18},
798 {-0x1.0000000000003p
+33, -0x1.fc00001fff800p
-31, 0x1.0000000000020p
+40, -0x1.fc01ffe002000p
-24, 0x1.fc00000000040p
+39, -0x1.87ffe7ff81080p
-18},
799 {-0x1.0000000000003p
+33, -0x1.fc00001fff800p
-31, -0x1.0000000000020p
+40, 0x1.fc01ffe002000p
-24, -0x1.0200000000020p
+40, -0x1.781fd80080f80p
-18},
800 {0x1.0000000000000p
-42, 0x1.fffff00001ffep
-96, 0x1.0000000000000p
-9, 0x1.ff00000ffff80p
-69, 0x1.0000000080000p
-9, 0x1.ff00004ffff80p
-69},
801 {0x1.0000000000000p
-42, 0x1.fffff00001ffep
-96, -0x1.0000000000000p
-9, -0x1.ff00000ffff80p
-69, -0x1.ffffffff00000p
-10, -0x1.feffffcffff80p
-69},
802 {-0x1.0000000000000p
-42, -0x1.fffff00001ffep
-96, 0x1.0000000000000p
-9, 0x1.ff00000ffff80p
-69, 0x1.ffffffff00000p
-10, 0x1.feffffcffff80p
-69},
803 {-0x1.0000000000000p
-42, -0x1.fffff00001ffep
-96, -0x1.0000000000000p
-9, -0x1.ff00000ffff80p
-69, -0x1.0000000080000p
-9, -0x1.ff00004ffff80p
-69},
804 {0x1.0000000000000p
-46, 0x1.ffffffffffc00p
-109, 0x1.0000200000000p
+11, -0x1.ffc0000080000p
-61, 0x1.0000200000000p
+11, 0x1.fff800fffffe0p
-47},
805 {0x1.0000000000000p
-46, 0x1.ffffffffffc00p
-109, -0x1.0000200000000p
+11, 0x1.ffc0000080000p
-61, -0x1.0000200000000p
+11, 0x1.0003ff8000010p
-46},
806 {-0x1.0000000000000p
-46, -0x1.ffffffffffc00p
-109, 0x1.0000200000000p
+11, -0x1.ffc0000080000p
-61, 0x1.0000200000000p
+11, -0x1.0003ff8000010p
-46},
807 {-0x1.0000000000000p
-46, -0x1.ffffffffffc00p
-109, -0x1.0000200000000p
+11, 0x1.ffc0000080000p
-61, -0x1.0000200000000p
+11, -0x1.fff800fffffe0p
-47},
808 {0x1.0000000000800p
-4, -0x1.fffc000000010p
-61, 0x1.0000000000008p
-2, -0x1.ffe03fffff010p
-59, 0x1.4000000000208p
-2, -0x1.3fef9fffff808p
-58},
809 {0x1.0000000000800p
-4, -0x1.fffc000000010p
-61, -0x1.0000000000008p
-2, 0x1.ffe03fffff010p
-59, -0x1.7fffffffffc10p
-3, 0x1.7fe13fffff010p
-59},
810 {-0x1.0000000000800p
-4, 0x1.fffc000000010p
-61, 0x1.0000000000008p
-2, -0x1.ffe03fffff010p
-59, 0x1.7fffffffffc10p
-3, -0x1.7fe13fffff010p
-59},
811 {-0x1.0000000000800p
-4, 0x1.fffc000000010p
-61, -0x1.0000000000008p
-2, 0x1.ffe03fffff010p
-59, -0x1.4000000000208p
-2, 0x1.3fef9fffff808p
-58},
812 {0x1.0000000000000p
-39, 0x1.fffef0ffff000p
-102, 0x1.0000100000000p
-7, -0x1.fff8000000800p
-71, 0x1.0000100100000p
-7, -0x1.fff7fffc00800p
-71},
813 {0x1.0000000000000p
-39, 0x1.fffef0ffff000p
-102, -0x1.0000100000000p
-7, 0x1.fff8000000800p
-71, -0x1.00000fff00000p
-7, 0x1.fff8000400800p
-71},
814 {-0x1.0000000000000p
-39, -0x1.fffef0ffff000p
-102, 0x1.0000100000000p
-7, -0x1.fff8000000800p
-71, 0x1.00000fff00000p
-7, -0x1.fff8000400800p
-71},
815 {-0x1.0000000000000p
-39, -0x1.fffef0ffff000p
-102, -0x1.0000100000000p
-7, 0x1.fff8000000800p
-71, -0x1.0000100100000p
-7, 0x1.fff7fffc00800p
-71},
816 {0x1.07c00007ffff0p
-15, 0x1.fffc00f800000p
-91, 0x1.0000007ffffe0p
-11, 0x1.f000000000000p
-82, 0x1.107c00807ffdfp
-11, 0x1.f0fffe0080000p
-82},
817 {0x1.07c00007ffff0p
-15, 0x1.fffc00f800000p
-91, -0x1.0000007ffffe0p
-11, -0x1.f000000000000p
-82, -0x1.df0800fefffc2p
-12, -0x1.ef0001ff80000p
-82},
818 {-0x1.07c00007ffff0p
-15, -0x1.fffc00f800000p
-91, 0x1.0000007ffffe0p
-11, 0x1.f000000000000p
-82, 0x1.df0800fefffc2p
-12, 0x1.ef0001ff80000p
-82},
819 {-0x1.07c00007ffff0p
-15, -0x1.fffc00f800000p
-91, -0x1.0000007ffffe0p
-11, -0x1.f000000000000p
-82, -0x1.107c00807ffdfp
-11, -0x1.f0fffe0080000p
-82},
820 {0x1.0000000000000p
+37, 0x1.ff800fffff800p
-19, 0x1.0000000000000p
-32, 0x1.fffc0000ffff8p
-88, 0x1.0000000000000p
+37, 0x1.ff880fffff800p
-19},
821 {0x1.0000000000000p
+37, 0x1.ff800fffff800p
-19, -0x1.0000000000000p
-32, -0x1.fffc0000ffff8p
-88, 0x1.0000000000000p
+37, 0x1.ff780fffff800p
-19},
822 {-0x1.0000000000000p
+37, -0x1.ff800fffff800p
-19, 0x1.0000000000000p
-32, 0x1.fffc0000ffff8p
-88, -0x1.0000000000000p
+37, -0x1.ff780fffff800p
-19},
823 {-0x1.0000000000000p
+37, -0x1.ff800fffff800p
-19, -0x1.0000000000000p
-32, -0x1.fffc0000ffff8p
-88, -0x1.0000000000000p
+37, -0x1.ff880fffff800p
-19},
824 {0x1.0000000008000p
+44, -0x1.ffff807ffe002p
-10, 0x1.0000000800000p
-6, -0x1.ffffff8000008p
-62, 0x1.0000000008004p
+44, -0x1.ffff7ffffe004p
-10},
825 {0x1.0000000008000p
+44, -0x1.ffff807ffe002p
-10, -0x1.0000000800000p
-6, 0x1.ffffff8000008p
-62, 0x1.0000000007ffcp
+44, -0x1.ffff80fffe000p
-10},
826 {-0x1.0000000008000p
+44, 0x1.ffff807ffe002p
-10, 0x1.0000000800000p
-6, -0x1.ffffff8000008p
-62, -0x1.0000000007ffcp
+44, 0x1.ffff80fffe000p
-10},
827 {-0x1.0000000008000p
+44, 0x1.ffff807ffe002p
-10, -0x1.0000000800000p
-6, 0x1.ffffff8000008p
-62, -0x1.0000000008004p
+44, 0x1.ffff7ffffe004p
-10},
828 {0x1.0000000000020p
-53, -0x1.0000000000000p
-136, 0x1.0000000000000p
+33, 0x1.fffff000003c0p
-26, 0x1.0000000000000p
+33, 0x1.fffff020003c0p
-26},
829 {0x1.0000000000020p
-53, -0x1.0000000000000p
-136, -0x1.0000000000000p
+33, -0x1.fffff000003c0p
-26, -0x1.0000000000000p
+33, -0x1.ffffefe0003c0p
-26},
830 {-0x1.0000000000020p
-53, 0x1.0000000000000p
-136, 0x1.0000000000000p
+33, 0x1.fffff000003c0p
-26, 0x1.0000000000000p
+33, 0x1.ffffefe0003c0p
-26},
831 {-0x1.0000000000020p
-53, 0x1.0000000000000p
-136, -0x1.0000000000000p
+33, -0x1.fffff000003c0p
-26, -0x1.0000000000000p
+33, -0x1.fffff020003c0p
-26},
832 {0x1.0000001ffff80p
-7, 0x1.fffffdfffff8ep
-61, 0x1.0000000200000p
-27, -0x1.0000000000000p
-96, 0x1.0000101ffff82p
-7, 0x1.fffffdffdff8ep
-61},
833 {0x1.0000001ffff80p
-7, 0x1.fffffdfffff8ep
-61, -0x1.0000000200000p
-27, 0x1.0000000000000p
-96, 0x1.ffffe03fffefdp
-8, -0x1.ffe0072000000p
-85},
834 {-0x1.0000001ffff80p
-7, -0x1.fffffdfffff8ep
-61, 0x1.0000000200000p
-27, -0x1.0000000000000p
-96, -0x1.ffffe03fffefdp
-8, 0x1.ffe0072000000p
-85},
835 {-0x1.0000001ffff80p
-7, -0x1.fffffdfffff8ep
-61, -0x1.0000000200000p
-27, 0x1.0000000000000p
-96, -0x1.0000101ffff82p
-7, -0x1.fffffdffdff8ep
-61},
836 {0x1.01ffffff80400p
-38, -0x1.c7ffffc000100p
-96, 0x1.0000000000000p
-47, 0x1.8fff01fffff00p
-107, 0x1.027fffff80400p
-38, -0x1.c7cdffdfc0100p
-96},
837 {0x1.01ffffff80400p
-38, -0x1.c7ffffc000100p
-96, -0x1.0000000000000p
-47, -0x1.8fff01fffff00p
-107, 0x1.017fffff80400p
-38, -0x1.c831ffa040100p
-96},
838 {-0x1.01ffffff80400p
-38, 0x1.c7ffffc000100p
-96, 0x1.0000000000000p
-47, 0x1.8fff01fffff00p
-107, -0x1.017fffff80400p
-38, 0x1.c831ffa040100p
-96},
839 {-0x1.01ffffff80400p
-38, 0x1.c7ffffc000100p
-96, -0x1.0000000000000p
-47, -0x1.8fff01fffff00p
-107, -0x1.027fffff80400p
-38, 0x1.c7cdffdfc0100p
-96},
840 {0x1.0000000000008p
-27, -0x1.ffffc00800000p
-100, 0x1.00003ffe00002p
+16, -0x1.ffffffc180080p
-44, 0x1.00003ffe00202p
+16, -0x1.ffffffc080080p
-44},
841 {0x1.0000000000008p
-27, -0x1.ffffc00800000p
-100, -0x1.00003ffe00002p
+16, 0x1.ffffffc180080p
-44, -0x1.00003ffdffe02p
+16, 0x1.ffffffc280080p
-44},
842 {-0x1.0000000000008p
-27, 0x1.ffffc00800000p
-100, 0x1.00003ffe00002p
+16, -0x1.ffffffc180080p
-44, 0x1.00003ffdffe02p
+16, -0x1.ffffffc280080p
-44},
843 {-0x1.0000000000008p
-27, 0x1.ffffc00800000p
-100, -0x1.00003ffe00002p
+16, 0x1.ffffffc180080p
-44, -0x1.00003ffe00202p
+16, 0x1.ffffffc080080p
-44},
844 {0x1.000000ffffff8p
+16, 0x1.ffffffc000000p
-41, 0x1.0000000000000p
+8, 0x1.ffffffe000000p
-50, 0x1.010000ffffff8p
+16, 0x1.007fffdff8000p
-40},
845 {0x1.000000ffffff8p
+16, 0x1.ffffffc000000p
-41, -0x1.0000000000000p
+8, -0x1.ffffffe000000p
-50, 0x1.fe0001ffffff0p
+15, 0x1.feffffc010000p
-41},
846 {-0x1.000000ffffff8p
+16, -0x1.ffffffc000000p
-41, 0x1.0000000000000p
+8, 0x1.ffffffe000000p
-50, -0x1.fe0001ffffff0p
+15, -0x1.feffffc010000p
-41},
847 {-0x1.000000ffffff8p
+16, -0x1.ffffffc000000p
-41, -0x1.0000000000000p
+8, -0x1.ffffffe000000p
-50, -0x1.010000ffffff8p
+16, -0x1.007fffdff8000p
-40},
848 {0x1.0000000020000p
-39, -0x1.0000000000000p
-144, 0x1.0000000000400p
-40, -0x1.ff1ffffff4000p
-107, 0x1.8000000020200p
-39, -0x1.ff20000000000p
-107},
849 {0x1.0000000020000p
-39, -0x1.0000000000000p
-144, -0x1.0000000000400p
-40, 0x1.ff1ffffff4000p
-107, 0x1.000000003fc00p
-40, 0x1.ff1fffffec000p
-107},
850 {-0x1.0000000020000p
-39, 0x1.0000000000000p
-144, 0x1.0000000000400p
-40, -0x1.ff1ffffff4000p
-107, -0x1.000000003fc00p
-40, -0x1.ff1fffffec000p
-107},
851 {-0x1.0000000020000p
-39, 0x1.0000000000000p
-144, -0x1.0000000000400p
-40, 0x1.ff1ffffff4000p
-107, -0x1.8000000020200p
-39, 0x1.ff20000000000p
-107},
852 {0x1.0000ff8020000p
-18, -0x1.fffffa0000000p
-80, 0x1.0000000001ff0p
+30, 0x1.f700000ffe000p
-36, 0x1.0000000002000p
+30, 0x1.7d402003ff800p
-34},
853 {0x1.0000ff8020000p
-18, -0x1.fffffa0000000p
-80, -0x1.0000000001ff0p
+30, -0x1.f700000ffe000p
-36, -0x1.0000000001fe0p
+30, 0x1.03803ff801000p
-35},
854 {-0x1.0000ff8020000p
-18, 0x1.fffffa0000000p
-80, 0x1.0000000001ff0p
+30, 0x1.f700000ffe000p
-36, 0x1.0000000001fe0p
+30, -0x1.03803ff801000p
-35},
855 {-0x1.0000ff8020000p
-18, 0x1.fffffa0000000p
-80, -0x1.0000000001ff0p
+30, -0x1.f700000ffe000p
-36, -0x1.0000000002000p
+30, -0x1.7d402003ff800p
-34},
856 {0x1.0000020000000p
+8, -0x1.0000000000000p
-56, 0x1.003e00001f800p
-14, 0x1.ffde000001e00p
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-15},
1217 {0x1.0000000000001p
+43, -0x1.fc0000c004000p
-22, -0x1.0000000000200p
+29, 0x1.ffe0000200000p
-39, 0x1.fff8000000002p
+42, -0x1.01fbff00d0040p
-14},
1218 {-0x1.0000000000001p
+43, 0x1.fc0000c004000p
-22, 0x1.0000000000200p
+29, -0x1.ffe0000200000p
-39, -0x1.fff8000000002p
+42, 0x1.01fbff00d0040p
-14},
1219 {-0x1.0000000000001p
+43, 0x1.fc0000c004000p
-22, -0x1.0000000000200p
+29, 0x1.ffe0000200000p
-39, -0x1.0004000000001p
+43, -0x1.fc07fdfe9ff80p
-15},
1220 {0x1.00000c0000004p
+1, -0x1.ff80000800000p
-67, 0x1.18003ffff8000p
+4, 0x1.ffffff8000000p
-62, 0x1.3800417ff8001p
+4, -0x1.ffe0ffc008040p
-50},
1221 {0x1.00000c0000004p
+1, -0x1.ff80000800000p
-67, -0x1.18003ffff8000p
+4, -0x1.ffffff8000000p
-62, -0x1.f0007cffeffffp
+3, -0x1.07fdffc020000p
-61},
1222 {-0x1.00000c0000004p
+1, 0x1.ff80000800000p
-67, 0x1.18003ffff8000p
+4, 0x1.ffffff8000000p
-62, 0x1.f0007cffeffffp
+3, 0x1.07fdffc020000p
-61},
1223 {-0x1.00000c0000004p
+1, 0x1.ff80000800000p
-67, -0x1.18003ffff8000p
+4, -0x1.ffffff8000000p
-62, -0x1.3800417ff8001p
+4, 0x1.ffe0ffc008040p
-50},
1224 {0x1.1ffff80000040p
+31, -0x1.0000000000000p
-59, 0x1.000000000fe00p
+44, 0x1.ffff7e0003ff8p
-12, 0x1.0008ffffcfe00p
+44, 0x1.0fffbf0001fecp
-11},
1225 {0x1.1ffff80000040p
+31, -0x1.0000000000000p
-59, -0x1.000000000fe00p
+44, -0x1.ffff7e0003ff8p
-12, -0x1.ffee00009fc00p
+43, -0x1.dfff7e0004018p
-12},
1226 {-0x1.1ffff80000040p
+31, 0x1.0000000000000p
-59, 0x1.000000000fe00p
+44, 0x1.ffff7e0003ff8p
-12, 0x1.ffee00009fc00p
+43, 0x1.dfff7e0004018p
-12},
1227 {-0x1.1ffff80000040p
+31, 0x1.0000000000000p
-59, -0x1.000000000fe00p
+44, -0x1.ffff7e0003ff8p
-12, -0x1.0008ffffcfe00p
+44, -0x1.0fffbf0001fecp
-11},
1228 {0x1.3fc0000040000p
-13, -0x1.fffffff802000p
-69, 0x1.fffffffffff00p
+30, 0x0.0000000000000p
+0, 0x1.00000000000c0p
+31, -0x1.fffffe0000100p
-24},
1229 {0x1.3fc0000040000p
-13, -0x1.fffffff802000p
-69, -0x1.fffffffffff00p
+30, 0x0.0000000000000p
+0, -0x1.ffffffffffc80p
+30, -0x1.fffffe0000100p
-24},
1230 {-0x1.3fc0000040000p
-13, 0x1.fffffff802000p
-69, 0x1.fffffffffff00p
+30, 0x0.0000000000000p
+0, 0x1.ffffffffffc80p
+30, 0x1.fffffe0000100p
-24},
1231 {-0x1.3fc0000040000p
-13, 0x1.fffffff802000p
-69, -0x1.fffffffffff00p
+30, 0x0.0000000000000p
+0, -0x1.00000000000c0p
+31, 0x1.fffffe0000100p
-24},
1232 {0x1.00000001fffffp
-1, 0x1.00001f8000000p
-72, 0x1.0000000000200p
-15, -0x1.0000000000000p
-120, 0x1.00040001fffffp
-1, 0x1.000400007e000p
-58},
1233 {0x1.00000001fffffp
-1, 0x1.00001f8000000p
-72, -0x1.0000000000200p
-15, 0x1.0000000000000p
-120, 0x1.fff80003ffffep
-2, -0x1.fff7ffff04000p
-59},
1234 {-0x1.00000001fffffp
-1, -0x1.00001f8000000p
-72, 0x1.0000000000200p
-15, -0x1.0000000000000p
-120, -0x1.fff80003ffffep
-2, 0x1.fff7ffff04000p
-59},
1235 {-0x1.00000001fffffp
-1, -0x1.00001f8000000p
-72, -0x1.0000000000200p
-15, 0x1.0000000000000p
-120, -0x1.00040001fffffp
-1, -0x1.000400007e000p
-58},
1236 {0x1.0000000010000p
+26, -0x1.0000000000000p
-51, 0x1.1fff010000000p
-53, 0x1.ff8c0000007fep
-107, 0x1.0000000010000p
+26, -0x1.70007f8000000p
-52},
1237 {0x1.0000000010000p
+26, -0x1.0000000000000p
-51, -0x1.1fff010000000p
-53, -0x1.ff8c0000007fep
-107, 0x1.0000000010000p
+26, -0x1.47ffc04000000p
-51},
1238 {-0x1.0000000010000p
+26, 0x1.0000000000000p
-51, 0x1.1fff010000000p
-53, 0x1.ff8c0000007fep
-107, -0x1.0000000010000p
+26, 0x1.47ffc04000000p
-51},
1239 {-0x1.0000000010000p
+26, 0x1.0000000000000p
-51, -0x1.1fff010000000p
-53, -0x1.ff8c0000007fep
-107, -0x1.0000000010000p
+26, 0x1.70007f8000000p
-52},
1240 {0x1.0000000000002p
-44, -0x1.0000000000000p
-131, 0x1.0000000000200p
+33, -0x1.0000000000000p
-52, 0x1.0000000000200p
+33, 0x1.fe00000000000p
-45},
1241 {0x1.0000000000002p
-44, -0x1.0000000000000p
-131, -0x1.0000000000200p
+33, 0x1.0000000000000p
-52, -0x1.0000000000200p
+33, 0x1.0100000000000p
-44},
1242 {-0x1.0000000000002p
-44, 0x1.0000000000000p
-131, 0x1.0000000000200p
+33, -0x1.0000000000000p
-52, 0x1.0000000000200p
+33, -0x1.0100000000000p
-44},
1243 {-0x1.0000000000002p
-44, 0x1.0000000000000p
-131, -0x1.0000000000200p
+33, 0x1.0000000000000p
-52, -0x1.0000000000200p
+33, -0x1.fe00000000000p
-45},
1244 {0x1.0000000000002p
+32, -0x1.ffff800008000p
-35, 0x1.000000003fffep
-25, 0x1.f81fc007c0000p
-96, 0x1.0000000000002p
+32, 0x1.ff0000407ffc0p
-26},
1245 {0x1.0000000000002p
+32, -0x1.ffff800008000p
-35, -0x1.000000003fffep
-25, -0x1.f81fc007c0000p
-96, 0x1.0000000000002p
+32, -0x1.007fffe040020p
-25},
1246 {-0x1.0000000000002p
+32, 0x1.ffff800008000p
-35, 0x1.000000003fffep
-25, 0x1.f81fc007c0000p
-96, -0x1.0000000000002p
+32, 0x1.007fffe040020p
-25},
1247 {-0x1.0000000000002p
+32, 0x1.ffff800008000p
-35, -0x1.000000003fffep
-25, -0x1.f81fc007c0000p
-96, -0x1.0000000000002p
+32, -0x1.ff0000407ffc0p
-26},
1248 {0x1.7ffffffff0000p
+18, 0x1.ffff07fffc000p
-46, 0x1.000000000ffe0p
-32, 0x1.ff0000003c000p
-95, 0x1.7ffffffff0004p
+18, 0x1.ffff0bff7c000p
-46},
1249 {0x1.7ffffffff0000p
+18, 0x1.ffff07fffc000p
-46, -0x1.000000000ffe0p
-32, -0x1.ff0000003c000p
-95, 0x1.7fffffffefffcp
+18, 0x1.ffff04007c000p
-46},
1250 {-0x1.7ffffffff0000p
+18, -0x1.ffff07fffc000p
-46, 0x1.000000000ffe0p
-32, 0x1.ff0000003c000p
-95, -0x1.7fffffffefffcp
+18, -0x1.ffff04007c000p
-46},
1251 {-0x1.7ffffffff0000p
+18, -0x1.ffff07fffc000p
-46, -0x1.000000000ffe0p
-32, -0x1.ff0000003c000p
-95, -0x1.7ffffffff0004p
+18, -0x1.ffff0bff7c000p
-46},
1252 {0x1.00007fff00080p
-52, -0x1.ffffff0001000p
-117, 0x1.00000000007c0p
+41, 0x1.ffffff8000000p
-26, 0x1.00000000007c0p
+41, 0x1.ffffffc000000p
-26},
1253 {0x1.00007fff00080p
-52, -0x1.ffffff0001000p
-117, -0x1.00000000007c0p
+41, -0x1.ffffff8000000p
-26, -0x1.00000000007c0p
+41, -0x1.ffffff4000000p
-26},
1254 {-0x1.00007fff00080p
-52, 0x1.ffffff0001000p
-117, 0x1.00000000007c0p
+41, 0x1.ffffff8000000p
-26, 0x1.00000000007c0p
+41, 0x1.ffffff4000000p
-26},
1255 {-0x1.00007fff00080p
-52, 0x1.ffffff0001000p
-117, -0x1.00000000007c0p
+41, -0x1.ffffff8000000p
-26, -0x1.00000000007c0p
+41, -0x1.ffffffc000000p
-26},
1256 {0x1.1fff81ff00000p
+13, 0x1.e007ffff00000p
-44, 0x1.1ffffffff8000p
-5, 0x1.fe001ffffffe0p
-61, 0x1.1fffc9ff00000p
+13, -0x1.0ffb808078000p
-43},
1257 {0x1.1fff81ff00000p
+13, 0x1.e007ffff00000p
-44, -0x1.1ffffffff8000p
-5, -0x1.fe001ffffffe0p
-61, 0x1.1fff39ff00000p
+13, 0x1.7801c03fbc000p
-42},
1258 {-0x1.1fff81ff00000p
+13, -0x1.e007ffff00000p
-44, 0x1.1ffffffff8000p
-5, 0x1.fe001ffffffe0p
-61, -0x1.1fff39ff00000p
+13, -0x1.7801c03fbc000p
-42},
1259 {-0x1.1fff81ff00000p
+13, -0x1.e007ffff00000p
-44, -0x1.1ffffffff8000p
-5, -0x1.fe001ffffffe0p
-61, -0x1.1fffc9ff00000p
+13, 0x1.0ffb808078000p
-43},
1260 {0x1.0000000000000p
+15, 0x1.fffc03fe00700p
-46, 0x1.0000000000001p
+24, -0x1.fff8060000f34p
-31, 0x1.0080000000001p
+24, -0x1.fff40607f8f74p
-31},
1261 {0x1.0000000000000p
+15, 0x1.fffc03fe00700p
-46, -0x1.0000000000001p
+24, 0x1.fff8060000f34p
-31, -0x1.ff00000000002p
+23, 0x1.fffc05f808ef4p
-31},
1262 {-0x1.0000000000000p
+15, -0x1.fffc03fe00700p
-46, 0x1.0000000000001p
+24, -0x1.fff8060000f34p
-31, 0x1.ff00000000002p
+23, -0x1.fffc05f808ef4p
-31},
1263 {-0x1.0000000000000p
+15, -0x1.fffc03fe00700p
-46, -0x1.0000000000001p
+24, 0x1.fff8060000f34p
-31, -0x1.0080000000001p
+24, 0x1.fff40607f8f74p
-31},
1264 {0x1.001ffffc00080p
+19, -0x1.fe00000200000p
-42, 0x1.0000000001000p
-24, -0x1.fe3ffffff0080p
-84, 0x1.001ffffc00280p
+19, -0x1.fdfffc0200800p
-42},
1265 {0x1.001ffffc00080p
+19, -0x1.fe00000200000p
-42, -0x1.0000000001000p
-24, 0x1.fe3ffffff0080p
-84, 0x1.001ffffbffe80p
+19, -0x1.fe000401ff800p
-42},
1266 {-0x1.001ffffc00080p
+19, 0x1.fe00000200000p
-42, 0x1.0000000001000p
-24, -0x1.fe3ffffff0080p
-84, -0x1.001ffffbffe80p
+19, 0x1.fe000401ff800p
-42},
1267 {-0x1.001ffffc00080p
+19, 0x1.fe00000200000p
-42, -0x1.0000000001000p
-24, 0x1.fe3ffffff0080p
-84, -0x1.001ffffc00280p
+19, 0x1.fdfffc0200800p
-42},
1268 {0x1.00001fffff800p
+37, 0x1.ffffff801ffc0p
-22, 0x1.0000000002000p
+12, -0x1.0000000000000p
-93, 0x1.0000207fff800p
+37, 0x1.03ffffc00ffe0p
-21},
1269 {0x1.00001fffff800p
+37, 0x1.ffffff801ffc0p
-22, -0x1.0000000002000p
+12, 0x1.0000000000000p
-93, 0x1.00001f7fff800p
+37, 0x1.f7ffff801ffc0p
-22},
1270 {-0x1.00001fffff800p
+37, -0x1.ffffff801ffc0p
-22, 0x1.0000000002000p
+12, -0x1.0000000000000p
-93, -0x1.00001f7fff800p
+37, -0x1.f7ffff801ffc0p
-22},
1271 {-0x1.00001fffff800p
+37, -0x1.ffffff801ffc0p
-22, -0x1.0000000002000p
+12, 0x1.0000000000000p
-93, -0x1.0000207fff800p
+37, -0x1.03ffffc00ffe0p
-21},
1272 {0x1.0000000000000p
-40, 0x1.ffff83ffbfff0p
-96, 0x1.0000000000000p
-34, 0x1.ffffffffe0000p
-90, 0x1.0400000000000p
-34, 0x1.03ffff07ef800p
-89},
1273 {0x1.0000000000000p
-40, 0x1.ffff83ffbfff0p
-96, -0x1.0000000000000p
-34, -0x1.ffffffffe0000p
-90, -0x1.f800000000000p
-35, -0x1.f80001efe1000p
-90},
1274 {-0x1.0000000000000p
-40, -0x1.ffff83ffbfff0p
-96, 0x1.0000000000000p
-34, 0x1.ffffffffe0000p
-90, 0x1.f800000000000p
-35, 0x1.f80001efe1000p
-90},
1275 {-0x1.0000000000000p
-40, -0x1.ffff83ffbfff0p
-96, -0x1.0000000000000p
-34, -0x1.ffffffffe0000p
-90, -0x1.0400000000000p
-34, -0x1.03ffff07ef800p
-89},
1276 {0x1.0000000000000p
+39, 0x1.fffe7ff3dff00p
-22, 0x1.000007f830000p
+13, 0x1.fff0000ffe100p
-48, 0x1.0000004000020p
+39, -0x1.e4000bfc61208p
-17},
1277 {0x1.0000000000000p
+39, 0x1.fffe7ff3dff00p
-22, -0x1.000007f830000p
+13, -0x1.fff0000ffe100p
-48, 0x1.ffffff7ffffc0p
+38, 0x1.01fff9fdcf8fcp
-16},
1278 {-0x1.0000000000000p
+39, -0x1.fffe7ff3dff00p
-22, 0x1.000007f830000p
+13, 0x1.fff0000ffe100p
-48, -0x1.ffffff7ffffc0p
+38, -0x1.01fff9fdcf8fcp
-16},
1279 {-0x1.0000000000000p
+39, -0x1.fffe7ff3dff00p
-22, -0x1.000007f830000p
+13, -0x1.fff0000ffe100p
-48, -0x1.0000004000020p
+39, 0x1.e4000bfc61208p
-17},
1280 {0x1.00000ffffe000p
+18, 0x1.fffffffffc000p
-49, 0x1.0000000000002p
-46, -0x1.fffffe01f8004p
-101, 0x1.00000ffffe000p
+18, 0x1.3fffffffff800p
-46},
1281 {0x1.00000ffffe000p
+18, 0x1.fffffffffc000p
-49, -0x1.0000000000002p
-46, 0x1.fffffe01f8004p
-101, 0x1.00000ffffe000p
+18, -0x1.8000000001000p
-47},
1282 {-0x1.00000ffffe000p
+18, -0x1.fffffffffc000p
-49, 0x1.0000000000002p
-46, -0x1.fffffe01f8004p
-101, -0x1.00000ffffe000p
+18, 0x1.8000000001000p
-47},
1283 {-0x1.00000ffffe000p
+18, -0x1.fffffffffc000p
-49, -0x1.0000000000002p
-46, 0x1.fffffe01f8004p
-101, -0x1.00000ffffe000p
+18, -0x1.3fffffffff800p
-46},
1284 {0x1.0000000000060p
+41, 0x1.fffe3fff00000p
-22, 0x1.0000000002000p
+4, -0x1.ffe0002000000p
-53, 0x1.0000000008060p
+41, 0x1.00031ffd80200p
-21},
1285 {0x1.0000000000060p
+41, 0x1.fffe3fff00000p
-22, -0x1.0000000002000p
+4, 0x1.ffe0002000000p
-53, 0x1.fffffffff00c0p
+40, 0x1.fff64002ffc00p
-22},
1286 {-0x1.0000000000060p
+41, -0x1.fffe3fff00000p
-22, 0x1.0000000002000p
+4, -0x1.ffe0002000000p
-53, -0x1.fffffffff00c0p
+40, -0x1.fff64002ffc00p
-22},
1287 {-0x1.0000000000060p
+41, -0x1.fffe3fff00000p
-22, -0x1.0000000002000p
+4, 0x1.ffe0002000000p
-53, -0x1.0000000008060p
+41, -0x1.00031ffd80200p
-21},
1288 {0x1.0003ffffffff8p
-50, 0x1.ffffe07e00000p
-124, 0x1.07ff000008000p
+19, -0x1.e000020000000p
-42, 0x1.07ff000008000p
+19, -0x1.defffe0000000p
-42},
1289 {0x1.0003ffffffff8p
-50, 0x1.ffffe07e00000p
-124, -0x1.07ff000008000p
+19, 0x1.e000020000000p
-42, -0x1.07ff000008000p
+19, 0x1.e100060000000p
-42},
1290 {-0x1.0003ffffffff8p
-50, -0x1.ffffe07e00000p
-124, 0x1.07ff000008000p
+19, -0x1.e000020000000p
-42, 0x1.07ff000008000p
+19, -0x1.e100060000000p
-42},
1291 {-0x1.0003ffffffff8p
-50, -0x1.ffffe07e00000p
-124, -0x1.07ff000008000p
+19, 0x1.e000020000000p
-42, -0x1.07ff000008000p
+19, 0x1.defffe0000000p
-42},
1292 // Some test cases drawn only from the [0.5,1] binade:
1293 {0x1.0000000000002p
-1, -0x1.ffc0ffff90000p
-65, 0x1.0003ffffffffcp
-1, 0x1.ffffc00000000p
-88, 0x1.0001fffffffffp
+0, -0x1.ffc0fbff90000p
-65},
1294 {0x1.0000000000002p
-1, -0x1.ffc0ffff90000p
-65, -0x1.0003ffffffffcp
-1, -0x1.ffffc00000000p
-88, -0x1.ffffffffd0010p
-16, 0x1.f7e0038400000p
-76},
1295 {-0x1.0000000000002p
-1, 0x1.ffc0ffff90000p
-65, 0x1.0003ffffffffcp
-1, 0x1.ffffc00000000p
-88, 0x1.ffffffffd0010p
-16, -0x1.f7e0038400000p
-76},
1296 {-0x1.0000000000002p
-1, 0x1.ffc0ffff90000p
-65, -0x1.0003ffffffffcp
-1, -0x1.ffffc00000000p
-88, -0x1.0001fffffffffp
+0, 0x1.ffc0fbff90000p
-65},
1297 {0x1.0000100000000p
-1, -0x1.0000000000000p
-63, 0x1.0000000004000p
-1, -0x1.ffffe00fc0200p
-57, 0x1.0000080002000p
+0, -0x1.01fff007e0100p
-56},
1298 {0x1.0000100000000p
-1, -0x1.0000000000000p
-63, -0x1.0000000004000p
-1, 0x1.ffffe00fc0200p
-57, 0x1.ffff80003f800p
-22, -0x1.ff03fe0000000p
-77},
1299 {-0x1.0000100000000p
-1, 0x1.0000000000000p
-63, 0x1.0000000004000p
-1, -0x1.ffffe00fc0200p
-57, -0x1.ffff80003f800p
-22, 0x1.ff03fe0000000p
-77},
1300 {-0x1.0000100000000p
-1, 0x1.0000000000000p
-63, -0x1.0000000004000p
-1, 0x1.ffffe00fc0200p
-57, -0x1.0000080002000p
+0, 0x1.01fff007e0100p
-56},
1301 {0x1.0000000800000p
-1, -0x1.0000000000000p
-73, 0x1.000003fffc002p
-1, -0x1.0000000000000p
-106, 0x1.00000203fe001p
+0, -0x1.0000000000000p
-73},
1302 {0x1.0000000800000p
-1, -0x1.0000000000000p
-73, -0x1.000003fffc002p
-1, 0x1.0000000000000p
-106, -0x1.fbfe001000008p
-24, 0x1.0000000000000p
-106},
1303 {-0x1.0000000800000p
-1, 0x1.0000000000000p
-73, 0x1.000003fffc002p
-1, -0x1.0000000000000p
-106, 0x1.fbfe001000008p
-24, -0x1.0000000000000p
-106},
1304 {-0x1.0000000800000p
-1, 0x1.0000000000000p
-73, -0x1.000003fffc002p
-1, 0x1.0000000000000p
-106, -0x1.00000203fe001p
+0, 0x1.0000000000000p
-73},
1305 {0x1.0000000000000p
-1, 0x1.ffc001ffffe00p
-56, 0x1.000003fff8000p
-1, 0x1.fffc000fc0000p
-72, 0x1.000001fffc000p
+0, 0x1.ffc201fbfff00p
-56},
1306 {0x1.0000000000000p
-1, 0x1.ffc001ffffe00p
-56, -0x1.000003fff8000p
-1, -0x1.fffc000fc0000p
-72, -0x1.fffbfffe00420p
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-1, 0x1.0000000000000p
-86, -0x1.0000000000101p
+0, 0x1.4000000000000p
-86},
1757 {0x1.0000000000002p
-1, -0x1.ffff800008000p
-68, 0x1.000000003fffep
-1, 0x1.f81fc007c0000p
-72, 0x1.0000000020000p
+0, -0x1.e07d83ff90000p
-68},
1758 {0x1.0000000000002p
-1, -0x1.ffff800008000p
-68, -0x1.000000003fffep
-1, -0x1.f81fc007c0000p
-72, -0x1.fffe00021f818p
-36, 0x1.ffbe000000000p
-91},
1759 {-0x1.0000000000002p
-1, 0x1.ffff800008000p
-68, 0x1.000000003fffep
-1, 0x1.f81fc007c0000p
-72, 0x1.fffe00021f818p
-36, -0x1.ffbe000000000p
-91},
1760 {-0x1.0000000000002p
-1, 0x1.ffff800008000p
-68, -0x1.000000003fffep
-1, -0x1.f81fc007c0000p
-72, -0x1.0000000020000p
+0, 0x1.e07d83ff90000p
-68},
1761 {0x1.7ffffffff0000p
-1, 0x1.ffff07fffc000p
-65, 0x1.000000000ffe0p
-1, 0x1.ff0000003c000p
-64, 0x1.3fffffffffff0p
+0, 0x1.7f7fc2001d000p
-63},
1762 {0x1.7ffffffff0000p
-1, 0x1.ffff07fffc000p
-65, -0x1.000000000ffe0p
-1, -0x1.ff0000003c000p
-64, 0x1.ffffffff80080p
-3, -0x1.fe00f8007c000p
-65},
1763 {-0x1.7ffffffff0000p
-1, -0x1.ffff07fffc000p
-65, 0x1.000000000ffe0p
-1, 0x1.ff0000003c000p
-64, -0x1.ffffffff80080p
-3, 0x1.fe00f8007c000p
-65},
1764 {-0x1.7ffffffff0000p
-1, -0x1.ffff07fffc000p
-65, -0x1.000000000ffe0p
-1, -0x1.ff0000003c000p
-64, -0x1.3fffffffffff0p
+0, -0x1.7f7fc2001d000p
-63},
1765 {0x1.00007fff00080p
-1, -0x1.ffffff0001000p
-66, 0x1.00000000007c0p
-1, 0x1.ffffff8000000p
-68, 0x1.00003fff80420p
+0, -0x1.7fffff2000000p
-66},
1766 {0x1.00007fff00080p
-1, -0x1.ffffff0001000p
-66, -0x1.00000000007c0p
-1, -0x1.ffffff8000000p
-68, 0x1.fffbfe2ffffb0p
-19, 0x1.1fff000000000p
-90},
1767 {-0x1.00007fff00080p
-1, 0x1.ffffff0001000p
-66, 0x1.00000000007c0p
-1, 0x1.ffffff8000000p
-68, -0x1.fffbfe2ffffb0p
-19, -0x1.1fff000000000p
-90},
1768 {-0x1.00007fff00080p
-1, 0x1.ffffff0001000p
-66, -0x1.00000000007c0p
-1, -0x1.ffffff8000000p
-68, -0x1.00003fff80420p
+0, 0x1.7fffff2000000p
-66},
1769 {0x1.1fff81ff00000p
-1, 0x1.e007ffff00000p
-58, 0x1.1ffffffff8000p
-1, 0x1.fe001ffffffe0p
-57, 0x1.1fffc0ff7c000p
+0, 0x1.77020fffbfff0p
-56},
1770 {0x1.1fff81ff00000p
-1, 0x1.e007ffff00000p
-58, -0x1.1ffffffff8000p
-1, -0x1.fe001ffffffe0p
-57, -0x1.f803e0000437fp
-19, -0x1.0003fff000000p
-76},
1771 {-0x1.1fff81ff00000p
-1, -0x1.e007ffff00000p
-58, 0x1.1ffffffff8000p
-1, 0x1.fe001ffffffe0p
-57, 0x1.f803e0000437fp
-19, 0x1.0003fff000000p
-76},
1772 {-0x1.1fff81ff00000p
-1, -0x1.e007ffff00000p
-58, -0x1.1ffffffff8000p
-1, -0x1.fe001ffffffe0p
-57, -0x1.1fffc0ff7c000p
+0, -0x1.77020fffbfff0p
-56},
1773 {0x1.0000000000000p
-1, 0x1.fffc03fe00700p
-62, 0x1.0000000000001p
-1, -0x1.fff8060000f34p
-56, 0x1.0000000000000p
+0, 0x1.8201fa83fdc3ap
-54},
1774 {0x1.0000000000000p
-1, 0x1.fffc03fe00700p
-62, -0x1.0000000000001p
-1, 0x1.fff8060000f34p
-56, -0x1.7e02027c01c2cp
-54, 0x0.0000000000000p
+0},
1775 {-0x1.0000000000000p
-1, -0x1.fffc03fe00700p
-62, 0x1.0000000000001p
-1, -0x1.fff8060000f34p
-56, 0x1.7e02027c01c2cp
-54, 0x0.0000000000000p
+0},
1776 {-0x1.0000000000000p
-1, -0x1.fffc03fe00700p
-62, -0x1.0000000000001p
-1, 0x1.fff8060000f34p
-56, -0x1.0000000000000p
+0, -0x1.8201fa83fdc3ap
-54},
1777 {0x1.001ffffc00080p
-1, -0x1.fe00000200000p
-62, 0x1.0000000001000p
-1, -0x1.fe3ffffff0080p
-61, 0x1.000ffffe00840p
+0, -0x1.7ea0000078000p
-60},
1778 {0x1.001ffffc00080p
-1, -0x1.fe00000200000p
-62, -0x1.0000000001000p
-1, 0x1.fe3ffffff0080p
-61, 0x1.ffffbff080010p
-13, -0x1.8000021ff0000p
-70},
1779 {-0x1.001ffffc00080p
-1, 0x1.fe00000200000p
-62, 0x1.0000000001000p
-1, -0x1.fe3ffffff0080p
-61, -0x1.ffffbff080010p
-13, 0x1.8000021ff0000p
-70},
1780 {-0x1.001ffffc00080p
-1, 0x1.fe00000200000p
-62, -0x1.0000000001000p
-1, 0x1.fe3ffffff0080p
-61, -0x1.000ffffe00840p
+0, 0x1.7ea0000078000p
-60},
1781 {0x1.00001fffff800p
-1, 0x1.ffffff801ffc0p
-60, 0x1.0000000002000p
-1, -0x1.0000000000000p
-106, 0x1.0000100000c00p
+0, 0x1.ffffff801ff80p
-60},
1782 {0x1.00001fffff800p
-1, 0x1.ffffff801ffc0p
-60, -0x1.0000000002000p
-1, 0x1.0000000000000p
-106, 0x1.ffffd80004000p
-21, -0x1.ff80000000000p
-86},
1783 {-0x1.00001fffff800p
-1, -0x1.ffffff801ffc0p
-60, 0x1.0000000002000p
-1, -0x1.0000000000000p
-106, -0x1.ffffd80004000p
-21, 0x1.ff80000000000p
-86},
1784 {-0x1.00001fffff800p
-1, -0x1.ffffff801ffc0p
-60, -0x1.0000000002000p
-1, 0x1.0000000000000p
-106, -0x1.0000100000c00p
+0, -0x1.ffffff801ff80p
-60},
1785 {0x1.0000000000000p
-1, 0x1.ffff83ffbfff0p
-57, 0x1.0000000000000p
-1, 0x1.ffffffffe0000p
-57, 0x1.0000000000000p
+0, 0x1.ffffc1ffcfff8p
-56},
1786 {0x1.0000000000000p
-1, 0x1.ffff83ffbfff0p
-57, -0x1.0000000000000p
-1, -0x1.ffffffffe0000p
-57, -0x1.f000800400000p
-75, 0x0.0000000000000p
+0},
1787 {-0x1.0000000000000p
-1, -0x1.ffff83ffbfff0p
-57, 0x1.0000000000000p
-1, 0x1.ffffffffe0000p
-57, 0x1.f000800400000p
-75, 0x0.0000000000000p
+0},
1788 {-0x1.0000000000000p
-1, -0x1.ffff83ffbfff0p
-57, -0x1.0000000000000p
-1, -0x1.ffffffffe0000p
-57, -0x1.0000000000000p
+0, -0x1.ffffc1ffcfff8p
-56},
1789 {0x1.0000000000000p
-1, 0x1.fffe7ff3dff00p
-62, 0x1.000007f830000p
-1, 0x1.fff0000ffe100p
-62, 0x1.000003fc18000p
+0, 0x1.fff74001ef000p
-61},
1790 {0x1.0000000000000p
-1, 0x1.fffe7ff3dff00p
-62, -0x1.000007f830000p
-1, -0x1.fff0000ffe100p
-62, -0x1.fe0bffffffffep
-23, -0x1.801c1e2000000p
-78},
1791 {-0x1.0000000000000p
-1, -0x1.fffe7ff3dff00p
-62, 0x1.000007f830000p
-1, 0x1.fff0000ffe100p
-62, 0x1.fe0bffffffffep
-23, 0x1.801c1e2000000p
-78},
1792 {-0x1.0000000000000p
-1, -0x1.fffe7ff3dff00p
-62, -0x1.000007f830000p
-1, -0x1.fff0000ffe100p
-62, -0x1.000003fc18000p
+0, -0x1.fff74001ef000p
-61},
1793 {0x1.00000ffffe000p
-1, 0x1.fffffffffc000p
-68, 0x1.0000000000002p
-1, -0x1.fffffe01f8004p
-56, 0x1.000007ffff001p
+0, -0x1.ffdffe01f8008p
-56},
1794 {0x1.00000ffffe000p
-1, 0x1.fffffffffc000p
-68, -0x1.0000000000002p
-1, 0x1.fffffe01f8004p
-56, 0x1.ffffbffc80080p
-22, -0x1.fe08000000000p
-80},
1795 {-0x1.00000ffffe000p
-1, -0x1.fffffffffc000p
-68, 0x1.0000000000002p
-1, -0x1.fffffe01f8004p
-56, -0x1.ffffbffc80080p
-22, 0x1.fe08000000000p
-80},
1796 {-0x1.00000ffffe000p
-1, -0x1.fffffffffc000p
-68, -0x1.0000000000002p
-1, 0x1.fffffe01f8004p
-56, -0x1.000007ffff001p
+0, 0x1.ffdffe01f8008p
-56},
1797 {0x1.0000000000060p
-1, 0x1.fffe3fff00000p
-64, 0x1.0000000002000p
-1, -0x1.ffe0002000000p
-58, 0x1.0000000001030p
+0, -0x1.f7e0072004000p
-58},
1798 {0x1.0000000000060p
-1, 0x1.fffe3fff00000p
-64, -0x1.0000000002000p
-1, 0x1.ffe0002000000p
-58, -0x1.f9fefc1003700p
-41, -0x1.0000000000000p
-96},
1799 {-0x1.0000000000060p
-1, -0x1.fffe3fff00000p
-64, 0x1.0000000002000p
-1, -0x1.ffe0002000000p
-58, 0x1.f9fefc1003700p
-41, 0x1.0000000000000p
-96},
1800 {-0x1.0000000000060p
-1, -0x1.fffe3fff00000p
-64, -0x1.0000000002000p
-1, 0x1.ffe0002000000p
-58, -0x1.0000000001030p
+0, 0x1.f7e0072004000p
-58},
1801 {0x1.0003ffffffff8p
-1, 0x1.ffffe07e00000p
-75, 0x1.07ff000008000p
-1, -0x1.e000020000000p
-62, 0x1.0401800003ffcp
+0, -0x1.dff00200fc000p
-62},
1802 {0x1.0003ffffffff8p
-1, 0x1.ffffe07e00000p
-75, -0x1.07ff000008000p
-1, 0x1.e000020000000p
-62, -0x1.fec0000200200p
-7, 0x1.e01001ff03f00p
-62},
1803 {-0x1.0003ffffffff8p
-1, -0x1.ffffe07e00000p
-75, 0x1.07ff000008000p
-1, -0x1.e000020000000p
-62, 0x1.fec0000200200p
-7, -0x1.e01001ff03f00p
-62},
1804 {-0x1.0003ffffffff8p
-1, -0x1.ffffe07e00000p
-75, -0x1.07ff000008000p
-1, 0x1.e000020000000p
-62, -0x1.0401800003ffcp
+0, 0x1.dff00200fc000p
-62},
1807 const int numAccuracyTests
= sizeof(accuracyTests
) / sizeof(struct testVector
);
1811 double testAccuracy() {
1815 double worstUlps
= 0.5;
1817 for (i
=0; i
<numAccuracyTests
; ++i
) {
1818 a
.hi
= accuracyTests
[i
].xhi
;
1819 a
.lo
= accuracyTests
[i
].xlo
;
1820 b
.hi
= accuracyTests
[i
].yhi
;
1821 b
.lo
= accuracyTests
[i
].ylo
;
1822 r
.hi
= accuracyTests
[i
].rhi
;
1823 r
.lo
= accuracyTests
[i
].rlo
;
1825 DD c
= { .ld
= __gcc_qadd(a
.ld
, b
.ld
) };
1827 double error
= __builtin_fabs(((r
.hi
- c
.hi
) + r
.lo
) - c
.lo
);
1831 int exponent
= ilogb(r
.hi
);
1832 exponent
= (exponent
< -1022 ? -1022 : exponent
);
1833 double ulpError
= scalbn(error
, 106 - exponent
);
1835 if (ulpError
> worstUlps
) {
1836 #ifdef PRINT_ACCURACY_INFORMATION
1837 printf("New worst rounding error for (%a,%a) + (%a,%a):\n", a
.hi
, a
.lo
, b
.hi
, b
.lo
);
1838 printf("\tExpected: (%a,%a)\n", r
.hi
, r
.lo
);
1839 printf("\tComputed: (%a,%a)\n", c
.hi
, c
.lo
);
1840 printf("\tError: %f ulps\n", ulpError
);
1842 worstUlps
= ulpError
;