1 #include <stdio.h> 2 #include "DD.h" 3 4 long double __gcc_qadd(long double x, long double y); 5 6 double testAccuracy(); 7 int testEdgeCases(); 8 9 int main(int argc, char *argv[]) { 10 if (testEdgeCases()) 11 return 1; 12 13 if (testAccuracy() > 1.0) 14 return 1; 15 16 return 0; 17 } 18 19 struct testVector { 20 double xhi; double xlo; 21 double yhi; double ylo; 22 double rhi; double rlo; 23 }; 24 25 #define INFINITY __builtin_inf() 26 #define HUGE 0x1.fffffffffffffp1023 27 #define QNAN __builtin_nan("") 28 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 }, 34 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 }, 63 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 }, 100 }; 101 102 const int numEdgeCases = sizeof(edgeCases) / sizeof(struct testVector); 103 104 105 int testEdgeCases() { 106 int i; 107 DD a, b, c, r; 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; 115 116 int error; 117 118 DD c = { .ld = __gcc_qadd(a.ld, b.ld) }; 119 120 if (r.hi != r.hi) { 121 if (c.hi == c.hi) 122 error = 1; 123 else if (c.lo != 0.0) 124 error = 1; 125 else 126 error = 0; 127 } 128 129 else if (r.hi == 0.0) 130 error = memcmp(&c, &r, sizeof(DD)); 131 132 else 133 error = ((c.hi != r.hi) || (c.lo != r.lo)); 134 135 if (error) { 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); 137 return 1; 138 } 139 } 140 141 return 0; 142 } 143 144 145 /* 146 147 Code for generating the test cases, requires the mpfr package to run. 148 149 #include <stdio.h> 150 #include <stdlib.h> 151 #include <mpfr.h> 152 153 #ifdef __x86_64__ 154 #define randlength 2 155 #else 156 #define randlength 4 157 #endif 158 159 160 int main(int argc, char *argv[]) { 161 162 MPFR_DECL_INIT(a, 106); 163 MPFR_DECL_INIT(b, 106); 164 MPFR_DECL_INIT(c, 106); 165 166 MPFR_DECL_INIT(tmp, 53); 167 168 int exponent_range = atoi(argv[1]); 169 170 int i; 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); 175 176 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); 181 182 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); 187 188 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); 193 194 mpfr_neg(b, b, GMP_RNDN); 195 mpfr_add(c, a, b, GMP_RNDN); 196 197 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); 202 203 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); 208 209 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); 214 215 mpfr_neg(a, a, GMP_RNDN); 216 mpfr_neg(b, b, GMP_RNDN); 217 mpfr_add(c, a, b, GMP_RNDN); 218 219 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); 224 225 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); 230 231 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); 236 237 mpfr_neg(b, b, GMP_RNDN); 238 mpfr_add(c, a, b, GMP_RNDN); 239 240 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); 245 246 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); 251 252 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); 257 } 258 259 return 0; 260 } 261 262 263 */ 264 265 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-958, 0x1.ff800fffff800p-1014, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317}, 309 {-0x1.0000000000000p-958, -0x1.ff800fffff800p-1014, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317}, 310 {-0x1.0000000000000p-958, -0x1.ff800fffff800p-1014, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317}, 311 {0x1.0000000008000p+114, -0x1.ffff807ffe002p+60, 0x1.0000000800000p-783, -0x1.ffffff8000008p-839, 0x1.0000000008000p+114, -0x1.ffff807ffe002p+60}, 312 {0x1.0000000008000p+114, -0x1.ffff807ffe002p+60, -0x1.0000000800000p-783, 0x1.ffffff8000008p-839, 0x1.0000000008000p+114, -0x1.ffff807ffe002p+60}, 313 {-0x1.0000000008000p+114, 0x1.ffff807ffe002p+60, 0x1.0000000800000p-783, -0x1.ffffff8000008p-839, -0x1.0000000008000p+114, 0x1.ffff807ffe002p+60}, 314 {-0x1.0000000008000p+114, 0x1.ffff807ffe002p+60, -0x1.0000000800000p-783, 0x1.ffffff8000008p-839, -0x1.0000000008000p+114, 0x1.ffff807ffe002p+60}, 315 {0x1.0000000000020p+340, -0x1.0000000000000p+257, 0x1.0000000000000p-442, 0x1.fffff000003c0p-501, 0x1.0000000000020p+340, -0x1.0000000000000p+257}, 316 {0x1.0000000000020p+340, -0x1.0000000000000p+257, -0x1.0000000000000p-442, -0x1.fffff000003c0p-501, 0x1.0000000000020p+340, -0x1.0000000000000p+257}, 317 {-0x1.0000000000020p+340, 0x1.0000000000000p+257, 0x1.0000000000000p-442, 0x1.fffff000003c0p-501, -0x1.0000000000020p+340, 0x1.0000000000000p+257}, 318 {-0x1.0000000000020p+340, 0x1.0000000000000p+257, -0x1.0000000000000p-442, -0x1.fffff000003c0p-501, -0x1.0000000000020p+340, 0x1.0000000000000p+257}, 319 {0x1.0000001ffff80p+385, 0x1.fffffdfffff8ep+331, 0x1.0000000200000p+69, -0x1.0000000000000p+0, 0x1.0000001ffff80p+385, 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-0x1.ffff83ffbfff0p-86}, 763 {0x1.0000000000000p-874, 0x1.fffe7ff3dff00p-935, 0x1.000007f830000p-977, 0x1.fff0001000000p-1038, 0x1.0000000000000p-874, 0x1.fffe7ff3e0300p-935}, 764 {0x1.0000000000000p-874, 0x1.fffe7ff3dff00p-935, -0x1.000007f830000p-977, -0x1.fff0001000000p-1038, 0x1.0000000000000p-874, 0x1.fffe7ff3dfb00p-935}, 765 {-0x1.0000000000000p-874, -0x1.fffe7ff3dff00p-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-76, 0x1.00000600f8000p+8, 0x1.f400007ff7800p-50}, 857 {0x1.0000020000000p+8, -0x1.0000000000000p-56, -0x1.003e00001f800p-14, -0x1.ffde000001e00p-76, 0x1.fffffbfe10000p+7, -0x1.fc00007ff7800p-50}, 858 {-0x1.0000020000000p+8, 0x1.0000000000000p-56, 0x1.003e00001f800p-14, 0x1.ffde000001e00p-76, -0x1.fffffbfe10000p+7, 0x1.fc00007ff7800p-50}, 859 {-0x1.0000020000000p+8, 0x1.0000000000000p-56, -0x1.003e00001f800p-14, -0x1.ffde000001e00p-76, -0x1.00000600f8000p+8, -0x1.f400007ff7800p-50}, 860 {0x1.0007e3ffe0000p-24, 0x1.fe0ffffffe000p-88, 0x1.0000000000000p+0, 0x1.fffffe07fff00p-61, 0x1.0000010007e40p+0, -0x1.000000dc1f080p-60}, 861 {0x1.0007e3ffe0000p-24, 0x1.fe0ffffffe000p-88, -0x1.0000000000000p+0, -0x1.fffffe07fff00p-61, -0x1.fffffdfff0380p-1, -0x1.7fffff720f7c0p-59}, 862 {-0x1.0007e3ffe0000p-24, -0x1.fe0ffffffe000p-88, 0x1.0000000000000p+0, 0x1.fffffe07fff00p-61, 0x1.fffffdfff0380p-1, 0x1.7fffff720f7c0p-59}, 863 {-0x1.0007e3ffe0000p-24, -0x1.fe0ffffffe000p-88, -0x1.0000000000000p+0, -0x1.fffffe07fff00p-61, -0x1.0000010007e40p+0, 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0x1.0000000000000p-157, -0x1.00000007ffffep-10, -0x1.ffffe000f0000p-71, -0x1.00000008003fep-10, -0x1.ffffe002f0000p-71}, 1200 {0x1.0000000000000p+3, 0x1.fffffff000000p-58, 0x1.0001fffc00001p-42, -0x1.0000000000000p-121, 0x1.0000000000080p+3, 0x1.fffdfff808000p-57}, 1201 {0x1.0000000000000p+3, 0x1.fffffff000000p-58, -0x1.0001fffc00001p-42, 0x1.0000000000000p-121, 0x1.fffffffffff00p+2, 0x1.fff7f80000000p-73}, 1202 {-0x1.0000000000000p+3, -0x1.fffffff000000p-58, 0x1.0001fffc00001p-42, -0x1.0000000000000p-121, -0x1.fffffffffff00p+2, -0x1.fff7f80000000p-73}, 1203 {-0x1.0000000000000p+3, -0x1.fffffff000000p-58, -0x1.0001fffc00001p-42, 0x1.0000000000000p-121, -0x1.0000000000080p+3, -0x1.fffdfff808000p-57}, 1204 {0x1.00007fdfffff0p+50, 0x1.fff000f803fe0p-8, 0x1.0080000000000p-8, -0x1.0000000000000p-100, 0x1.00007fdfffff0p+50, 0x1.8038007c01ff0p-7}, 1205 {0x1.00007fdfffff0p+50, 0x1.fff000f803fe0p-8, -0x1.0080000000000p-8, 0x1.0000000000000p-100, 0x1.00007fdfffff0p+50, 0x1.fee001f007fc0p-9}, 1206 {-0x1.00007fdfffff0p+50, -0x1.fff000f803fe0p-8, 0x1.0080000000000p-8, -0x1.0000000000000p-100, -0x1.00007fdfffff0p+50, -0x1.fee001f007fc0p-9}, 1207 {-0x1.00007fdfffff0p+50, -0x1.fff000f803fe0p-8, -0x1.0080000000000p-8, 0x1.0000000000000p-100, -0x1.00007fdfffff0p+50, -0x1.8038007c01ff0p-7}, 1208 {0x1.0000000000080p+4, 0x0.0000000000000p+0, 0x1.0000080000000p+20, -0x1.0000000000000p-65, 0x1.0001080000000p+20, 0x1.fffffe0000000p-42}, 1209 {0x1.0000000000080p+4, 0x0.0000000000000p+0, -0x1.0000080000000p+20, 0x1.0000000000000p-65, -0x1.fffe100000000p+19, 0x1.0000010000000p-41}, 1210 {-0x1.0000000000080p+4, 0x0.0000000000000p+0, 0x1.0000080000000p+20, -0x1.0000000000000p-65, 0x1.fffe100000000p+19, -0x1.0000010000000p-41}, 1211 {-0x1.0000000000080p+4, 0x0.0000000000000p+0, -0x1.0000080000000p+20, 0x1.0000000000000p-65, -0x1.0001080000000p+20, -0x1.fffffe0000000p-42}, 1212 {0x1.0400000000000p+20, -0x1.0000000000000p-85, 0x1.0000000000400p+5, -0x1.fffff00008000p-51, 0x1.0402000000000p+20, 0x1.fff000007ffe0p-38}, 1213 {0x1.0400000000000p+20, -0x1.0000000000000p-85, -0x1.0000000000400p+5, 0x1.fffff00008000p-51, 0x1.03fe000000000p+20, -0x1.fff0000080020p-38}, 1214 {-0x1.0400000000000p+20, 0x1.0000000000000p-85, 0x1.0000000000400p+5, -0x1.fffff00008000p-51, -0x1.03fe000000000p+20, 0x1.fff0000080020p-38}, 1215 {-0x1.0400000000000p+20, 0x1.0000000000000p-85, -0x1.0000000000400p+5, 0x1.fffff00008000p-51, -0x1.0402000000000p+20, -0x1.fff000007ffe0p-38}, 1216 {0x1.0000000000001p+43, -0x1.fc0000c004000p-22, 0x1.0000000000200p+29, -0x1.ffe0000200000p-39, 0x1.0004000000001p+43, 0x1.fc07fdfe9ff80p-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-24, 0x1.01ffe82000000p-79}, 1307 {-0x1.0000000000000p-1, -0x1.ffc001ffffe00p-56, 0x1.000003fff8000p-1, 0x1.fffc000fc0000p-72, 0x1.fffbfffe00420p-24, -0x1.01ffe82000000p-79}, 1308 {-0x1.0000000000000p-1, -0x1.ffc001ffffe00p-56, -0x1.000003fff8000p-1, -0x1.fffc000fc0000p-72, -0x1.000001fffc000p+0, -0x1.ffc201fbfff00p-56}, 1309 {0x1.0000000000003p-1, 0x1.fc00001fff800p-65, 0x1.0000000000020p-1, -0x1.fc01ffe002000p-65, 0x1.0000000000011p+0, 0x1.ffffffc007ffcp-54}, 1310 {0x1.0000000000003p-1, 0x1.fc00001fff800p-65, -0x1.0000000000020p-1, 0x1.fc01ffe002000p-65, -0x1.cffc07fe00000p-49, 0x1.8000000000000p-105}, 1311 {-0x1.0000000000003p-1, -0x1.fc00001fff800p-65, 0x1.0000000000020p-1, -0x1.fc01ffe002000p-65, 0x1.cffc07fe00000p-49, -0x1.8000000000000p-105}, 1312 {-0x1.0000000000003p-1, -0x1.fc00001fff800p-65, -0x1.0000000000020p-1, 0x1.fc01ffe002000p-65, -0x1.0000000000011p+0, -0x1.ffffffc007ffcp-54}, 1313 {0x1.0000000000000p-1, 0x1.fffff00001ffep-55, 0x1.0000000000000p-1, 0x1.ff00000ffff80p-61, 0x1.0000000000000p+0, 0x1.03fdf80020ffep-54}, 1314 {0x1.0000000000000p-1, 0x1.fffff00001ffep-55, -0x1.0000000000000p-1, -0x1.ff00000ffff80p-61, 0x1.f803efffc2000p-55, 0x0.0000000000000p+0}, 1315 {-0x1.0000000000000p-1, -0x1.fffff00001ffep-55, 0x1.0000000000000p-1, 0x1.ff00000ffff80p-61, -0x1.f803efffc2000p-55, 0x0.0000000000000p+0}, 1316 {-0x1.0000000000000p-1, -0x1.fffff00001ffep-55, -0x1.0000000000000p-1, -0x1.ff00000ffff80p-61, -0x1.0000000000000p+0, -0x1.03fdf80020ffep-54}, 1317 {0x1.0000000000000p-1, 0x1.ffffffffffc00p-64, 0x1.0000200000000p-1, -0x1.ffc0000080000p-73, 0x1.0000100000000p+0, 0x1.ff001fffff800p-64}, 1318 {0x1.0000000000000p-1, 0x1.ffffffffffc00p-64, -0x1.0000200000000p-1, 0x1.ffc0000080000p-73, -0x1.ffffffffffbfep-21, -0x1.0000000000000p-83}, 1319 {-0x1.0000000000000p-1, -0x1.ffffffffffc00p-64, 0x1.0000200000000p-1, -0x1.ffc0000080000p-73, 0x1.ffffffffffbfep-21, 0x1.0000000000000p-83}, 1320 {-0x1.0000000000000p-1, -0x1.ffffffffffc00p-64, -0x1.0000200000000p-1, 0x1.ffc0000080000p-73, -0x1.0000100000000p+0, -0x1.ff001fffff800p-64}, 1321 {0x1.0000000000800p-1, -0x1.fffc000000010p-58, 0x1.0000000000008p-1, -0x1.ffe03fffff010p-58, 0x1.0000000000404p+0, -0x1.ffee1fffff810p-57}, 1322 {0x1.0000000000800p-1, -0x1.fffc000000010p-58, -0x1.0000000000008p-1, 0x1.ffe03fffff010p-58, 0x1.fdffffc880000p-43, -0x1.0000000000000p-98}, 1323 {-0x1.0000000000800p-1, 0x1.fffc000000010p-58, 0x1.0000000000008p-1, -0x1.ffe03fffff010p-58, -0x1.fdffffc880000p-43, 0x1.0000000000000p-98}, 1324 {-0x1.0000000000800p-1, 0x1.fffc000000010p-58, -0x1.0000000000008p-1, 0x1.ffe03fffff010p-58, -0x1.0000000000404p+0, 0x1.ffee1fffff810p-57}, 1325 {0x1.0000000000000p-1, 0x1.fffef0ffff000p-64, 0x1.0000100000000p-1, -0x1.fff8000000800p-65, 0x1.0000080000000p+0, 0x1.0002f0ffff000p-64}, 1326 {0x1.0000000000000p-1, 0x1.fffef0ffff000p-64, -0x1.0000100000000p-1, 0x1.fff8000000800p-65, -0x1.ffffffffff400p-22, -0x1.43c0003000000p-78}, 1327 {-0x1.0000000000000p-1, -0x1.fffef0ffff000p-64, 0x1.0000100000000p-1, -0x1.fff8000000800p-65, 0x1.ffffffffff400p-22, 0x1.43c0003000000p-78}, 1328 {-0x1.0000000000000p-1, -0x1.fffef0ffff000p-64, -0x1.0000100000000p-1, 0x1.fff8000000800p-65, -0x1.0000080000000p+0, -0x1.0002f0ffff000p-64}, 1329 {0x1.07c00007ffff0p-1, 0x1.fffc00f800000p-77, 0x1.0000007ffffe0p-1, 0x1.f000000000000p-72, 0x1.03e00043fffe8p+0, 0x1.ffffe00800000p-72}, 1330 {0x1.07c00007ffff0p-1, 0x1.fffc00f800000p-77, -0x1.0000007ffffe0p-1, -0x1.f000000000000p-72, 0x1.efffe20000400p-7, -0x1.e0001ff840000p-72}, 1331 {-0x1.07c00007ffff0p-1, -0x1.fffc00f800000p-77, 0x1.0000007ffffe0p-1, 0x1.f000000000000p-72, -0x1.efffe20000400p-7, 0x1.e0001ff840000p-72}, 1332 {-0x1.07c00007ffff0p-1, -0x1.fffc00f800000p-77, -0x1.0000007ffffe0p-1, -0x1.f000000000000p-72, -0x1.03e00043fffe8p+0, -0x1.ffffe00800000p-72}, 1333 {0x1.0000000000000p-1, 0x1.ff800fffff800p-57, 0x1.0000000000000p-1, 0x1.fffc0000ffff8p-57, 0x1.0000000000000p+0, 0x1.ffbe08007fc00p-56}, 1334 {0x1.0000000000000p-1, 0x1.ff800fffff800p-57, -0x1.0000000000000p-1, -0x1.fffc0000ffff8p-57, -0x1.efc00401fe000p-67, 0x0.0000000000000p+0}, 1335 {-0x1.0000000000000p-1, -0x1.ff800fffff800p-57, 0x1.0000000000000p-1, 0x1.fffc0000ffff8p-57, 0x1.efc00401fe000p-67, 0x0.0000000000000p+0}, 1336 {-0x1.0000000000000p-1, -0x1.ff800fffff800p-57, -0x1.0000000000000p-1, -0x1.fffc0000ffff8p-57, -0x1.0000000000000p+0, -0x1.ffbe08007fc00p-56}, 1337 {0x1.0000000008000p-1, -0x1.ffff807ffe002p-55, 0x1.0000000800000p-1, -0x1.ffffff8000008p-57, 0x1.0000000404000p+0, -0x1.3fffc02fff002p-54}, 1338 {0x1.0000000008000p-1, -0x1.ffff807ffe002p-55, -0x1.0000000800000p-1, 0x1.ffffff8000008p-57, -0x1.fe00017fff80ap-31, 0x1.0000000000000p-94}, 1339 {-0x1.0000000008000p-1, 0x1.ffff807ffe002p-55, 0x1.0000000800000p-1, -0x1.ffffff8000008p-57, 0x1.fe00017fff80ap-31, -0x1.0000000000000p-94}, 1340 {-0x1.0000000008000p-1, 0x1.ffff807ffe002p-55, -0x1.0000000800000p-1, 0x1.ffffff8000008p-57, -0x1.0000000404000p+0, 0x1.3fffc02fff002p-54}, 1341 {0x1.0000000000020p-1, -0x1.0000000000000p-84, 0x1.0000000000000p-1, 0x1.fffff000003c0p-60, 0x1.0000000000010p+0, 0x1.ffffef0000400p-60}, 1342 {0x1.0000000000020p-1, -0x1.0000000000000p-84, -0x1.0000000000000p-1, -0x1.fffff000003c0p-60, 0x1.ffc00001e0000p-49, -0x1.e000000000000p-103}, 1343 {-0x1.0000000000020p-1, 0x1.0000000000000p-84, 0x1.0000000000000p-1, 0x1.fffff000003c0p-60, -0x1.ffc00001e0000p-49, 0x1.e000000000000p-103}, 1344 {-0x1.0000000000020p-1, 0x1.0000000000000p-84, -0x1.0000000000000p-1, -0x1.fffff000003c0p-60, -0x1.0000000000010p+0, -0x1.ffffef0000400p-60}, 1345 {0x1.0000001ffff80p-1, 0x1.fffffdfffff8ep-55, 0x1.0000000200000p-1, -0x1.0000000000000p-70, 0x1.00000010fffc0p+0, 0x1.fffdfdfffff90p-55}, 1346 {0x1.0000001ffff80p-1, 0x1.fffffdfffff8ep-55, -0x1.0000000200000p-1, 0x1.0000000000000p-70, 0x1.dfff8080007f8p-29, -0x1.c800000000000p-101}, 1347 {-0x1.0000001ffff80p-1, -0x1.fffffdfffff8ep-55, 0x1.0000000200000p-1, -0x1.0000000000000p-70, -0x1.dfff8080007f8p-29, 0x1.c800000000000p-101}, 1348 {-0x1.0000001ffff80p-1, -0x1.fffffdfffff8ep-55, -0x1.0000000200000p-1, 0x1.0000000000000p-70, -0x1.00000010fffc0p+0, -0x1.fffdfdfffff90p-55}, 1349 {0x1.01ffffff80400p-1, -0x1.c7ffffc000100p-59, 0x1.0000000000000p-1, 0x1.8fff01fffff00p-61, 0x1.00ffffffc0200p+0, -0x1.64003f4000140p-59}, 1350 {0x1.01ffffff80400p-1, -0x1.c7ffffc000100p-59, -0x1.0000000000000p-1, -0x1.8fff01fffff00p-61, 0x1.ffffff803fff7p-9, 0x1.4003fbffff400p-63}, 1351 {-0x1.01ffffff80400p-1, 0x1.c7ffffc000100p-59, 0x1.0000000000000p-1, 0x1.8fff01fffff00p-61, -0x1.ffffff803fff7p-9, -0x1.4003fbffff400p-63}, 1352 {-0x1.01ffffff80400p-1, 0x1.c7ffffc000100p-59, -0x1.0000000000000p-1, -0x1.8fff01fffff00p-61, -0x1.00ffffffc0200p+0, 0x1.64003f4000140p-59}, 1353 {0x1.0000000000008p-1, -0x1.ffffc00800000p-74, 0x1.00003ffe00002p-1, -0x1.ffffffc180080p-61, 0x1.00001fff00005p+0, -0x1.0007ffdfc0200p-60}, 1354 {0x1.0000000000008p-1, -0x1.ffffc00800000p-74, -0x1.00003ffe00002p-1, 0x1.ffffffc180080p-61, -0x1.ffeffffcff001p-20, 0x1.fff86ff900000p-74}, 1355 {-0x1.0000000000008p-1, 0x1.ffffc00800000p-74, 0x1.00003ffe00002p-1, -0x1.ffffffc180080p-61, 0x1.ffeffffcff001p-20, -0x1.fff86ff900000p-74}, 1356 {-0x1.0000000000008p-1, 0x1.ffffc00800000p-74, -0x1.00003ffe00002p-1, 0x1.ffffffc180080p-61, -0x1.00001fff00005p+0, 0x1.0007ffdfc0200p-60}, 1357 {0x1.000000ffffff8p-1, 0x1.ffffffc000000p-58, 0x1.0000000000000p-1, 0x1.ffffffe000000p-59, 0x1.0000007fffffcp+0, 0x1.7fffffd800000p-57}, 1358 {0x1.000000ffffff8p-1, 0x1.ffffffc000000p-58, -0x1.0000000000000p-1, -0x1.ffffffe000000p-59, 0x1.ffffff0100000p-26, -0x1.8000000000000p-85}, 1359 {-0x1.000000ffffff8p-1, -0x1.ffffffc000000p-58, 0x1.0000000000000p-1, 0x1.ffffffe000000p-59, -0x1.ffffff0100000p-26, 0x1.8000000000000p-85}, 1360 {-0x1.000000ffffff8p-1, -0x1.ffffffc000000p-58, -0x1.0000000000000p-1, -0x1.ffffffe000000p-59, -0x1.0000007fffffcp+0, -0x1.7fffffd800000p-57}, 1361 {0x1.0000000020000p-1, -0x1.0000000000000p-106, 0x1.0000000000400p-1, -0x1.ff1ffffff4000p-68, 0x1.0000000010200p+0, -0x1.ff1ffffff8000p-68}, 1362 {0x1.0000000020000p-1, -0x1.0000000000000p-106, -0x1.0000000000400p-1, 0x1.ff1ffffff4000p-68, 0x1.fc000003fe400p-37, -0x1.0000000000000p-104}, 1363 {-0x1.0000000020000p-1, 0x1.0000000000000p-106, 0x1.0000000000400p-1, -0x1.ff1ffffff4000p-68, -0x1.fc000003fe400p-37, 0x1.0000000000000p-104}, 1364 {-0x1.0000000020000p-1, 0x1.0000000000000p-106, -0x1.0000000000400p-1, 0x1.ff1ffffff4000p-68, -0x1.0000000010200p+0, 0x1.ff1ffffff8000p-68}, 1365 {0x1.0000ff8020000p-1, -0x1.fffffa0000000p-63, 0x1.0000000001ff0p-1, 0x1.f700000ffe000p-67, 0x1.00007fc010ff8p+0, -0x1.e08ff9ff00000p-63}, 1366 {0x1.0000ff8020000p-1, -0x1.fffffa0000000p-63, -0x1.0000000001ff0p-1, -0x1.f700000ffe000p-67, 0x1.ff003c01ffef0p-18, 0x1.200bfe0040000p-72}, 1367 {-0x1.0000ff8020000p-1, 0x1.fffffa0000000p-63, 0x1.0000000001ff0p-1, 0x1.f700000ffe000p-67, -0x1.ff003c01ffef0p-18, -0x1.200bfe0040000p-72}, 1368 {-0x1.0000ff8020000p-1, 0x1.fffffa0000000p-63, -0x1.0000000001ff0p-1, -0x1.f700000ffe000p-67, -0x1.00007fc010ff8p+0, 0x1.e08ff9ff00000p-63}, 1369 {0x1.0000020000000p-1, -0x1.0000000000000p-65, 0x1.003e00001f800p-1, 0x1.ffde000001e00p-63, 0x1.001f01000fc00p+0, 0x1.bfde000002000p-63}, 1370 {0x1.0000020000000p-1, -0x1.0000000000000p-65, -0x1.003e00001f800p-1, -0x1.ffde000001e00p-63, -0x1.eff000fc00004p-12, -0x1.fef000000f000p-66}, 1371 {-0x1.0000020000000p-1, 0x1.0000000000000p-65, 0x1.003e00001f800p-1, 0x1.ffde000001e00p-63, 0x1.eff000fc00004p-12, 0x1.fef000000f000p-66}, 1372 {-0x1.0000020000000p-1, 0x1.0000000000000p-65, -0x1.003e00001f800p-1, -0x1.ffde000001e00p-63, -0x1.001f01000fc00p+0, -0x1.bfde000002000p-63}, 1373 {0x1.0007e3ffe0000p-1, 0x1.fe0ffffffe000p-65, 0x1.0000000000000p-1, 0x1.fffffe07fff00p-62, 0x1.0003f1fff0000p+0, 0x1.1fe0ff03ffe00p-61}, 1374 {0x1.0007e3ffe0000p-1, 0x1.fe0ffffffe000p-65, -0x1.0000000000000p-1, -0x1.fffffe07fff00p-62, 0x1.f8fff7fffffc8p-15, -0x1.eff0400180000p-73}, 1375 {-0x1.0007e3ffe0000p-1, -0x1.fe0ffffffe000p-65, 0x1.0000000000000p-1, 0x1.fffffe07fff00p-62, -0x1.f8fff7fffffc8p-15, 0x1.eff0400180000p-73}, 1376 {-0x1.0007e3ffe0000p-1, -0x1.fe0ffffffe000p-65, -0x1.0000000000000p-1, -0x1.fffffe07fff00p-62, -0x1.0003f1fff0000p+0, -0x1.1fe0ff03ffe00p-61}, 1377 {0x1.00000000fe000p-1, 0x1.ff00004000000p-68, 0x1.000003fffff80p-1, 0x1.fff8400000000p-61, 0x1.000002007efc0p+0, 0x1.01fb200040000p-60}, 1378 {0x1.00000000fe000p-1, 0x1.ff00004000000p-68, -0x1.000003fffff80p-1, -0x1.fff8400000000p-61, -0x1.ff80fc000fdfdp-24, -0x1.fffc000000000p-80}, 1379 {-0x1.00000000fe000p-1, -0x1.ff00004000000p-68, 0x1.000003fffff80p-1, 0x1.fff8400000000p-61, 0x1.ff80fc000fdfdp-24, 0x1.fffc000000000p-80}, 1380 {-0x1.00000000fe000p-1, -0x1.ff00004000000p-68, -0x1.000003fffff80p-1, -0x1.fff8400000000p-61, -0x1.000002007efc0p+0, -0x1.01fb200040000p-60}, 1381 {0x1.0000800000000p-1, -0x1.0000000000000p-57, 0x1.0000000000000p-1, 0x1.fffffffc1fc00p-64, 0x1.0000400000000p+0, -0x1.f80000000f800p-58}, 1382 {0x1.0000800000000p-1, -0x1.0000000000000p-57, -0x1.0000000000000p-1, -0x1.fffffffc1fc00p-64, 0x1.fffffffffbf00p-19, 0x1.f020000000000p-95}, 1383 {-0x1.0000800000000p-1, 0x1.0000000000000p-57, 0x1.0000000000000p-1, 0x1.fffffffc1fc00p-64, -0x1.fffffffffbf00p-19, -0x1.f020000000000p-95}, 1384 {-0x1.0000800000000p-1, 0x1.0000000000000p-57, -0x1.0000000000000p-1, -0x1.fffffffc1fc00p-64, -0x1.0000400000000p+0, 0x1.f80000000f800p-58}, 1385 {0x1.0000000000000p-1, 0x1.ff000ff3ffe00p-55, 0x1.0000000000000p-1, 0x1.fe0003fffc000p-60, 0x1.0000000000000p+0, 0x1.07780809ffe00p-54}, 1386 {0x1.0000000000000p-1, 0x1.ff000ff3ffe00p-55, -0x1.0000000000000p-1, -0x1.fe0003fffc000p-60, 0x1.ef100fd400000p-55, 0x0.0000000000000p+0}, 1387 {-0x1.0000000000000p-1, -0x1.ff000ff3ffe00p-55, 0x1.0000000000000p-1, 0x1.fe0003fffc000p-60, -0x1.ef100fd400000p-55, 0x0.0000000000000p+0}, 1388 {-0x1.0000000000000p-1, -0x1.ff000ff3ffe00p-55, -0x1.0000000000000p-1, -0x1.fe0003fffc000p-60, -0x1.0000000000000p+0, -0x1.07780809ffe00p-54}, 1389 {0x1.000000e000010p-1, -0x1.ffffffc020000p-71, 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-0x1.fffffffffff00p-1, 0x0.0000000000000p+0, -0x1.9fe000001ff80p+0, 0x1.fffffff802000p-57}, 1745 {0x1.00000001fffffp-1, 0x1.00001f8000000p-72, 0x1.0000000000200p-1, -0x1.0000000000000p-106, 0x1.0000000100100p+0, -0x1.ffffbffff8200p-54}, 1746 {0x1.00000001fffffp-1, 0x1.00001f8000000p-72, -0x1.0000000000200p-1, 0x1.0000000000000p-106, 0x1.ffdff00002000p-33, 0x1.f804000000000p-92}, 1747 {-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, 0x1.0000000000200p-1, -0x1.0000000000000p-106, -0x1.ffdff00002000p-33, -0x1.f804000000000p-92}, 1748 {-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, -0x1.0000000000200p-1, 0x1.0000000000000p-106, -0x1.0000000100100p+0, 0x1.ffffbffff8200p-54}, 1749 {0x1.0000000010000p-1, -0x1.0000000000000p-78, 0x1.1fff010000000p-1, 0x1.ff8c0000007fep-55, 0x1.0fff808008000p+0, 0x1.ff8bfe0000800p-55}, 1750 {0x1.0000000010000p-1, -0x1.0000000000000p-78, -0x1.1fff010000000p-1, -0x1.ff8c0000007fep-55, -0x1.fff00fff00008p-5, 0x1.cff7fffe00800p-65}, 1751 {-0x1.0000000010000p-1, 0x1.0000000000000p-78, 0x1.1fff010000000p-1, 0x1.ff8c0000007fep-55, 0x1.fff00fff00008p-5, -0x1.cff7fffe00800p-65}, 1752 {-0x1.0000000010000p-1, 0x1.0000000000000p-78, -0x1.1fff010000000p-1, -0x1.ff8c0000007fep-55, -0x1.0fff808008000p+0, -0x1.ff8bfe0000800p-55}, 1753 {0x1.0000000000002p-1, -0x1.0000000000000p-88, 0x1.0000000000200p-1, -0x1.0000000000000p-86, 0x1.0000000000101p+0, -0x1.4000000000000p-86}, 1754 {0x1.0000000000002p-1, -0x1.0000000000000p-88, -0x1.0000000000200p-1, 0x1.0000000000000p-86, -0x1.fdffffffffa00p-45, 0x0.0000000000000p+0}, 1755 {-0x1.0000000000002p-1, 0x1.0000000000000p-88, 0x1.0000000000200p-1, -0x1.0000000000000p-86, 0x1.fdffffffffa00p-45, 0x0.0000000000000p+0}, 1756 {-0x1.0000000000002p-1, 0x1.0000000000000p-88, -0x1.0000000000200p-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}, 1805 }; 1806 1807 const int numAccuracyTests = sizeof(accuracyTests) / sizeof(struct testVector); 1808 1809 #include <math.h> 1810 1811 double testAccuracy() { 1812 int i; 1813 DD a, b, c, r; 1814 1815 double worstUlps = 0.5; 1816 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; 1824 1825 DD c = { .ld = __gcc_qadd(a.ld, b.ld) }; 1826 1827 double error = __builtin_fabs(((r.hi - c.hi) + r.lo) - c.lo); 1828 1829 if (error != 0.0) { 1830 1831 int exponent = ilogb(r.hi); 1832 exponent = (exponent < -1022 ? -1022 : exponent); 1833 double ulpError = scalbn(error, 106 - exponent); 1834 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); 1841 #endif 1842 worstUlps = ulpError; 1843 } 1844 } 1845 } 1846 1847 return worstUlps; 1848 } 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873
