1#include <stdio.h> 2#include "DD.h" 3 4long double __gcc_qsub(long double x, long double y); 5 6double testAccuracy(); 7int testEdgeCases(); 8 9int 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 19struct 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 29const 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 102const int numEdgeCases = sizeof(edgeCases) / sizeof(struct testVector); 103 104 105int 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 long double computed = __gcc_qsub(a.ld, b.ld); 119 120 DD c = { .ld = computed }; 121 122 if (r.hi != r.hi) { 123 if (c.hi == c.hi) 124 error = 1; 125 else if (c.lo != 0.0) 126 error = 1; 127 else 128 error = 0; 129 } 130 131 else if (r.hi == 0.0) 132 error = memcmp(&c, &r, sizeof(DD)); 133 134 else 135 error = ((c.hi != r.hi) || (c.lo != r.lo)); 136 137 if (error) { 138 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); 139 return 1; 140 } 141 } 142 143 return 0; 144} 145 146 147/* 148 149 Code for generating the test cases, requires the mpfr package to run. 150 151 #include <stdio.h> 152 #include <stdlib.h> 153 #include <mpfr.h> 154 155 #ifdef __x86_64__ 156 #define randlength 2 157 #else 158 #define randlength 4 159 #endif 160 161 162 int main(int argc, char *argv[]) { 163 164 MPFR_DECL_INIT(a, 106); 165 MPFR_DECL_INIT(b, 106); 166 MPFR_DECL_INIT(c, 106); 167 168 MPFR_DECL_INIT(tmp, 53); 169 170 int exponent_range = atoi(argv[1]); 171 172 int i; 173 for (i=0; i<128; ++i) { 174 mpfr_random2(a, randlength, exponent_range); 175 mpfr_random2(b, randlength, exponent_range); 176 mpfr_add(c, a, b, GMP_RNDN); 177 178 double ahi = mpfr_get_d(a, GMP_RNDN); 179 mpfr_set_d(tmp, ahi, GMP_RNDN); 180 mpfr_sub(tmp, a, tmp, GMP_RNDN); 181 double alo = mpfr_get_d(tmp, GMP_RNDN); 182 printf("{%0.13a, %0.13a, ", ahi, alo); 183 184 double bhi = mpfr_get_d(b, GMP_RNDN); 185 mpfr_set_d(tmp, bhi, GMP_RNDN); 186 mpfr_sub(tmp, b, tmp, GMP_RNDN); 187 double blo = mpfr_get_d(tmp, GMP_RNDN); 188 printf("%0.13a, %0.13a, ", bhi, blo); 189 190 double chi = mpfr_get_d(c, GMP_RNDN); 191 mpfr_set_d(tmp, chi, GMP_RNDN); 192 mpfr_sub(tmp, c, tmp, GMP_RNDN); 193 double clo = mpfr_get_d(tmp, GMP_RNDN); 194 printf("%0.13a, %0.13a},\n", chi, clo); 195 196 mpfr_neg(b, b, GMP_RNDN); 197 mpfr_add(c, a, b, GMP_RNDN); 198 199 ahi = mpfr_get_d(a, GMP_RNDN); 200 mpfr_set_d(tmp, ahi, GMP_RNDN); 201 mpfr_sub(tmp, a, tmp, GMP_RNDN); 202 alo = mpfr_get_d(tmp, GMP_RNDN); 203 printf("{%0.13a, %0.13a, ", ahi, alo); 204 205 bhi = mpfr_get_d(b, GMP_RNDN); 206 mpfr_set_d(tmp, bhi, GMP_RNDN); 207 mpfr_sub(tmp, b, tmp, GMP_RNDN); 208 blo = mpfr_get_d(tmp, GMP_RNDN); 209 printf("%0.13a, %0.13a, ", bhi, blo); 210 211 chi = mpfr_get_d(c, GMP_RNDN); 212 mpfr_set_d(tmp, chi, GMP_RNDN); 213 mpfr_sub(tmp, c, tmp, GMP_RNDN); 214 clo = mpfr_get_d(tmp, GMP_RNDN); 215 printf("%0.13a, %0.13a},\n", chi, clo); 216 217 mpfr_neg(a, a, GMP_RNDN); 218 mpfr_neg(b, b, GMP_RNDN); 219 mpfr_add(c, a, b, GMP_RNDN); 220 221 ahi = mpfr_get_d(a, GMP_RNDN); 222 mpfr_set_d(tmp, ahi, GMP_RNDN); 223 mpfr_sub(tmp, a, tmp, GMP_RNDN); 224 alo = mpfr_get_d(tmp, GMP_RNDN); 225 printf("{%0.13a, %0.13a, ", ahi, alo); 226 227 bhi = mpfr_get_d(b, GMP_RNDN); 228 mpfr_set_d(tmp, bhi, GMP_RNDN); 229 mpfr_sub(tmp, b, tmp, GMP_RNDN); 230 blo = mpfr_get_d(tmp, GMP_RNDN); 231 printf("%0.13a, %0.13a, ", bhi, blo); 232 233 chi = mpfr_get_d(c, GMP_RNDN); 234 mpfr_set_d(tmp, chi, GMP_RNDN); 235 mpfr_sub(tmp, c, tmp, GMP_RNDN); 236 clo = mpfr_get_d(tmp, GMP_RNDN); 237 printf("%0.13a, %0.13a},\n", chi, clo); 238 239 mpfr_neg(b, b, GMP_RNDN); 240 mpfr_add(c, a, b, GMP_RNDN); 241 242 ahi = mpfr_get_d(a, GMP_RNDN); 243 mpfr_set_d(tmp, ahi, GMP_RNDN); 244 mpfr_sub(tmp, a, tmp, GMP_RNDN); 245 alo = mpfr_get_d(tmp, GMP_RNDN); 246 printf("{%0.13a, %0.13a, ", ahi, alo); 247 248 bhi = mpfr_get_d(b, GMP_RNDN); 249 mpfr_set_d(tmp, bhi, GMP_RNDN); 250 mpfr_sub(tmp, b, tmp, GMP_RNDN); 251 blo = mpfr_get_d(tmp, GMP_RNDN); 252 printf("%0.13a, %0.13a, ", bhi, blo); 253 254 chi = mpfr_get_d(c, GMP_RNDN); 255 mpfr_set_d(tmp, chi, GMP_RNDN); 256 mpfr_sub(tmp, c, tmp, GMP_RNDN); 257 clo = mpfr_get_d(tmp, GMP_RNDN); 258 printf("%0.13a, %0.13a},\n", chi, clo); 259 } 260 261 return 0; 262 } 263 264 265 */ 266 267const struct testVector accuracyTests[] = { 268// Some test cases that cover the whole exponent range: 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{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, 0x1.0003ffffffffcp+140, 0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302}, 272{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, -0x1.0003ffffffffcp+140, -0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302}, 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{-0x1.0000100000000p-746, 0x1.0000000000000p-808, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692}, 276{-0x1.0000100000000p-746, 0x1.0000000000000p-808, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692}, 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{-0x1.0000000800000p+426, 0x1.0000000000000p+354, 0x1.000003fffc002p-730, -0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354}, 280{-0x1.0000000800000p+426, 0x1.0000000000000p+354, -0x1.000003fffc002p-730, 0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354}, 281{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.100003fff8000p-258, 0x1.ffe001c000dc0p-317}, 282{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.e00007fff0000p-259, 0x1.ffa0023ffee40p-317}, 283{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.e00007fff0000p-259, -0x1.ffa0023ffee40p-317}, 284{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.100003fff8000p-258, -0x1.ffe001c000dc0p-317}, 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{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, 0x1.0000000000020p+626, -0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916}, 288{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, -0x1.0000000000020p+626, 0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916}, 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-800, -0x1.fffff00001ffep-854, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410}, 292{-0x1.0000000000000p-800, -0x1.fffff00001ffep-854, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410}, 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{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, 0x1.0000200000000p-454, -0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862}, 296{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, -0x1.0000200000000p-454, 0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862}, 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{-0x1.0000000000800p+265, 0x1.fffc000000010p+208, 0x1.0000000000008p-204, -0x1.ffe03fffff010p-261, -0x1.0000000000800p+265, 0x1.fffc000000010p+208}, 300{-0x1.0000000000800p+265, 0x1.fffc000000010p+208, -0x1.0000000000008p-204, 0x1.ffe03fffff010p-261, -0x1.0000000000800p+265, 0x1.fffc000000010p+208}, 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{-0x1.0000000000000p-690, -0x1.fffef0ffff000p-753, 0x1.0000100000000p+763, -0x1.fff8000000800p+699, 0x1.0000100000000p+763, -0x1.fff8000000800p+699}, 304{-0x1.0000000000000p-690, -0x1.fffef0ffff000p-753, -0x1.0000100000000p+763, 0x1.fff8000000800p+699, -0x1.0000100000000p+763, 0x1.fff8000000800p+699}, 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{-0x1.07c00007ffff0p-506, -0x1.fffc00f800000p-582, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373}, 308{-0x1.07c00007ffff0p-506, -0x1.fffc00f800000p-582, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373}, 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{-0x1.0000000000000p-958, -0x1.ff800fffff800p-1014, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317}, 312{-0x1.0000000000000p-958, -0x1.ff800fffff800p-1014, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317}, 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{-0x1.0000000008000p+114, 0x1.ffff807ffe002p+60, 0x1.0000000800000p-783, -0x1.ffffff8000008p-839, -0x1.0000000008000p+114, 0x1.ffff807ffe002p+60}, 316{-0x1.0000000008000p+114, 0x1.ffff807ffe002p+60, -0x1.0000000800000p-783, 0x1.ffffff8000008p-839, -0x1.0000000008000p+114, 0x1.ffff807ffe002p+60}, 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{-0x1.0000000000020p+340, 0x1.0000000000000p+257, 0x1.0000000000000p-442, 0x1.fffff000003c0p-501, -0x1.0000000000020p+340, 0x1.0000000000000p+257}, 320{-0x1.0000000000020p+340, 0x1.0000000000000p+257, -0x1.0000000000000p-442, -0x1.fffff000003c0p-501, -0x1.0000000000020p+340, 0x1.0000000000000p+257}, 321{0x1.0000001ffff80p+385, 0x1.fffffdfffff8ep+331, 0x1.0000000200000p+69, -0x1.0000000000000p+0, 0x1.0000001ffff80p+385, 0x1.fffffdfffff8ep+331}, 322{0x1.0000001ffff80p+385, 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-0x1.ffffe07e00000p-347, 0x1.07ff000008000p-591, -0x1.e000020000000p-652, -0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347}, 780{-0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347, -0x1.07ff000008000p-591, 0x1.e000020000000p-652, -0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347}, 781// Some test cases where a and b are guaranteed to overlap: 782{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.1003ffffffffcp-35, 0x1.ffe003f400068p-91}, 783{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.e007ffffffff8p-36, 0x1.ffe003ec00078p-91}, 784{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.e007ffffffff8p-36, -0x1.ffe003ec00078p-91}, 785{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.1003ffffffffcp-35, -0x1.ffe003f400068p-91}, 786{0x1.0000100000000p+23, -0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.7ffffffffe000p-40}, 787{0x1.0000100000000p+23, -0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.4000000001000p-39}, 788{-0x1.0000100000000p+23, 0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.4000000001000p-39}, 789{-0x1.0000100000000p+23, 0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.7ffffffffe000p-40}, 790{0x1.0000000800000p-42, -0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.80000403fc002p-41, -0x1.0000000100000p-114}, 791{0x1.0000000800000p-42, -0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.000007f7f8004p-42, -0x1.fffffffe00000p-115}, 792{-0x1.0000000800000p-42, 0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.000007f7f8004p-42, 0x1.fffffffe00000p-115}, 793{-0x1.0000000800000p-42, 0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.80000403fc002p-41, 0x1.0000000100000p-114}, 794{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.000001007fef0p-8}, 795{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.ff8001feffe20p-9}, 796{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.ff8001feffe20p-9}, 797{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.000001007fef0p-8}, 798{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.0200000000020p+40, 0x1.781fd80080f80p-18}, 799{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.fc00000000040p+39, 0x1.87ffe7ff81080p-18}, 800{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.fc00000000040p+39, -0x1.87ffe7ff81080p-18}, 801{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.0200000000020p+40, -0x1.781fd80080f80p-18}, 802{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.0000000080000p-9, 0x1.ff00004ffff80p-69}, 803{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.ffffffff00000p-10, -0x1.feffffcffff80p-69}, 804{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.ffffffff00000p-10, 0x1.feffffcffff80p-69}, 805{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.0000000080000p-9, -0x1.ff00004ffff80p-69}, 806{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, 0x1.fff800fffffe0p-47}, 807{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, 0x1.0003ff8000010p-46}, 808{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, -0x1.0003ff8000010p-46}, 809{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, -0x1.fff800fffffe0p-47}, 810{0x1.0000000000800p-4, -0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.4000000000208p-2, -0x1.3fef9fffff808p-58}, 811{0x1.0000000000800p-4, -0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.7fffffffffc10p-3, 0x1.7fe13fffff010p-59}, 812{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.7fffffffffc10p-3, -0x1.7fe13fffff010p-59}, 813{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.4000000000208p-2, 0x1.3fef9fffff808p-58}, 814{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.0000100100000p-7, -0x1.fff7fffc00800p-71}, 815{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.00000fff00000p-7, 0x1.fff8000400800p-71}, 816{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.00000fff00000p-7, -0x1.fff8000400800p-71}, 817{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.0000100100000p-7, 0x1.fff7fffc00800p-71}, 818{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.107c00807ffdfp-11, 0x1.f0fffe0080000p-82}, 819{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.df0800fefffc2p-12, -0x1.ef0001ff80000p-82}, 820{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.df0800fefffc2p-12, 0x1.ef0001ff80000p-82}, 821{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.107c00807ffdfp-11, -0x1.f0fffe0080000p-82}, 822{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff880fffff800p-19}, 823{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff780fffff800p-19}, 824{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff780fffff800p-19}, 825{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff880fffff800p-19}, 826{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, 0x1.0000000008004p+44, -0x1.ffff7ffffe004p-10}, 827{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, 0x1.0000000007ffcp+44, -0x1.ffff80fffe000p-10}, 828{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, -0x1.0000000007ffcp+44, 0x1.ffff80fffe000p-10}, 829{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, -0x1.0000000008004p+44, 0x1.ffff7ffffe004p-10}, 830{0x1.0000000000020p-53, -0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.fffff020003c0p-26}, 831{0x1.0000000000020p-53, -0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.ffffefe0003c0p-26}, 832{-0x1.0000000000020p-53, 0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.ffffefe0003c0p-26}, 833{-0x1.0000000000020p-53, 0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.fffff020003c0p-26}, 834{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, 0x1.0000101ffff82p-7, 0x1.fffffdffdff8ep-61}, 835{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, 0x1.ffffe03fffefdp-8, -0x1.ffe0072000000p-85}, 836{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, -0x1.ffffe03fffefdp-8, 0x1.ffe0072000000p-85}, 837{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, -0x1.0000101ffff82p-7, -0x1.fffffdffdff8ep-61}, 838{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, 0x1.027fffff80400p-38, -0x1.c7cdffdfc0100p-96}, 839{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, 0x1.017fffff80400p-38, -0x1.c831ffa040100p-96}, 840{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, -0x1.017fffff80400p-38, 0x1.c831ffa040100p-96}, 841{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, -0x1.027fffff80400p-38, 0x1.c7cdffdfc0100p-96}, 842{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffe00202p+16, -0x1.ffffffc080080p-44}, 843{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffdffe02p+16, 0x1.ffffffc280080p-44}, 844{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffdffe02p+16, -0x1.ffffffc280080p-44}, 845{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffe00202p+16, 0x1.ffffffc080080p-44}, 846{0x1.000000ffffff8p+16, 0x1.ffffffc000000p-41, 0x1.0000000000000p+8, 0x1.ffffffe000000p-50, 0x1.010000ffffff8p+16, 0x1.007fffdff8000p-40}, 847{0x1.000000ffffff8p+16, 0x1.ffffffc000000p-41, -0x1.0000000000000p+8, -0x1.ffffffe000000p-50, 0x1.fe0001ffffff0p+15, 0x1.feffffc010000p-41}, 848{-0x1.000000ffffff8p+16, -0x1.ffffffc000000p-41, 0x1.0000000000000p+8, 0x1.ffffffe000000p-50, -0x1.fe0001ffffff0p+15, -0x1.feffffc010000p-41}, 849{-0x1.000000ffffff8p+16, -0x1.ffffffc000000p-41, -0x1.0000000000000p+8, -0x1.ffffffe000000p-50, -0x1.010000ffffff8p+16, -0x1.007fffdff8000p-40}, 850{0x1.0000000020000p-39, -0x1.0000000000000p-144, 0x1.0000000000400p-40, -0x1.ff1ffffff4000p-107, 0x1.8000000020200p-39, -0x1.ff20000000000p-107}, 851{0x1.0000000020000p-39, -0x1.0000000000000p-144, -0x1.0000000000400p-40, 0x1.ff1ffffff4000p-107, 0x1.000000003fc00p-40, 0x1.ff1fffffec000p-107}, 852{-0x1.0000000020000p-39, 0x1.0000000000000p-144, 0x1.0000000000400p-40, -0x1.ff1ffffff4000p-107, -0x1.000000003fc00p-40, -0x1.ff1fffffec000p-107}, 853{-0x1.0000000020000p-39, 0x1.0000000000000p-144, -0x1.0000000000400p-40, 0x1.ff1ffffff4000p-107, -0x1.8000000020200p-39, 0x1.ff20000000000p-107}, 854{0x1.0000ff8020000p-18, -0x1.fffffa0000000p-80, 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-0x1.0000000000200p+29, 0x1.ffe0000200000p-39, 0x1.fff8000000002p+42, -0x1.01fbff00d0040p-14}, 1220{-0x1.0000000000001p+43, 0x1.fc0000c004000p-22, 0x1.0000000000200p+29, -0x1.ffe0000200000p-39, -0x1.fff8000000002p+42, 0x1.01fbff00d0040p-14}, 1221{-0x1.0000000000001p+43, 0x1.fc0000c004000p-22, -0x1.0000000000200p+29, 0x1.ffe0000200000p-39, -0x1.0004000000001p+43, -0x1.fc07fdfe9ff80p-15}, 1222{0x1.00000c0000004p+1, -0x1.ff80000800000p-67, 0x1.18003ffff8000p+4, 0x1.ffffff8000000p-62, 0x1.3800417ff8001p+4, -0x1.ffe0ffc008040p-50}, 1223{0x1.00000c0000004p+1, -0x1.ff80000800000p-67, -0x1.18003ffff8000p+4, -0x1.ffffff8000000p-62, -0x1.f0007cffeffffp+3, -0x1.07fdffc020000p-61}, 1224{-0x1.00000c0000004p+1, 0x1.ff80000800000p-67, 0x1.18003ffff8000p+4, 0x1.ffffff8000000p-62, 0x1.f0007cffeffffp+3, 0x1.07fdffc020000p-61}, 1225{-0x1.00000c0000004p+1, 0x1.ff80000800000p-67, -0x1.18003ffff8000p+4, -0x1.ffffff8000000p-62, -0x1.3800417ff8001p+4, 0x1.ffe0ffc008040p-50}, 1226{0x1.1ffff80000040p+31, -0x1.0000000000000p-59, 0x1.000000000fe00p+44, 0x1.ffff7e0003ff8p-12, 0x1.0008ffffcfe00p+44, 0x1.0fffbf0001fecp-11}, 1227{0x1.1ffff80000040p+31, -0x1.0000000000000p-59, -0x1.000000000fe00p+44, -0x1.ffff7e0003ff8p-12, -0x1.ffee00009fc00p+43, -0x1.dfff7e0004018p-12}, 1228{-0x1.1ffff80000040p+31, 0x1.0000000000000p-59, 0x1.000000000fe00p+44, 0x1.ffff7e0003ff8p-12, 0x1.ffee00009fc00p+43, 0x1.dfff7e0004018p-12}, 1229{-0x1.1ffff80000040p+31, 0x1.0000000000000p-59, -0x1.000000000fe00p+44, -0x1.ffff7e0003ff8p-12, -0x1.0008ffffcfe00p+44, -0x1.0fffbf0001fecp-11}, 1230{0x1.3fc0000040000p-13, -0x1.fffffff802000p-69, 0x1.fffffffffff00p+30, 0x0.0000000000000p+0, 0x1.00000000000c0p+31, -0x1.fffffe0000100p-24}, 1231{0x1.3fc0000040000p-13, -0x1.fffffff802000p-69, -0x1.fffffffffff00p+30, 0x0.0000000000000p+0, -0x1.ffffffffffc80p+30, -0x1.fffffe0000100p-24}, 1232{-0x1.3fc0000040000p-13, 0x1.fffffff802000p-69, 0x1.fffffffffff00p+30, 0x0.0000000000000p+0, 0x1.ffffffffffc80p+30, 0x1.fffffe0000100p-24}, 1233{-0x1.3fc0000040000p-13, 0x1.fffffff802000p-69, -0x1.fffffffffff00p+30, 0x0.0000000000000p+0, -0x1.00000000000c0p+31, 0x1.fffffe0000100p-24}, 1234{0x1.00000001fffffp-1, 0x1.00001f8000000p-72, 0x1.0000000000200p-15, -0x1.0000000000000p-120, 0x1.00040001fffffp-1, 0x1.000400007e000p-58}, 1235{0x1.00000001fffffp-1, 0x1.00001f8000000p-72, -0x1.0000000000200p-15, 0x1.0000000000000p-120, 0x1.fff80003ffffep-2, -0x1.fff7ffff04000p-59}, 1236{-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, 0x1.0000000000200p-15, -0x1.0000000000000p-120, -0x1.fff80003ffffep-2, 0x1.fff7ffff04000p-59}, 1237{-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, -0x1.0000000000200p-15, 0x1.0000000000000p-120, -0x1.00040001fffffp-1, -0x1.000400007e000p-58}, 1238{0x1.0000000010000p+26, -0x1.0000000000000p-51, 0x1.1fff010000000p-53, 0x1.ff8c0000007fep-107, 0x1.0000000010000p+26, -0x1.70007f8000000p-52}, 1239{0x1.0000000010000p+26, -0x1.0000000000000p-51, -0x1.1fff010000000p-53, -0x1.ff8c0000007fep-107, 0x1.0000000010000p+26, -0x1.47ffc04000000p-51}, 1240{-0x1.0000000010000p+26, 0x1.0000000000000p-51, 0x1.1fff010000000p-53, 0x1.ff8c0000007fep-107, -0x1.0000000010000p+26, 0x1.47ffc04000000p-51}, 1241{-0x1.0000000010000p+26, 0x1.0000000000000p-51, -0x1.1fff010000000p-53, -0x1.ff8c0000007fep-107, -0x1.0000000010000p+26, 0x1.70007f8000000p-52}, 1242{0x1.0000000000002p-44, -0x1.0000000000000p-131, 0x1.0000000000200p+33, -0x1.0000000000000p-52, 0x1.0000000000200p+33, 0x1.fe00000000000p-45}, 1243{0x1.0000000000002p-44, -0x1.0000000000000p-131, -0x1.0000000000200p+33, 0x1.0000000000000p-52, -0x1.0000000000200p+33, 0x1.0100000000000p-44}, 1244{-0x1.0000000000002p-44, 0x1.0000000000000p-131, 0x1.0000000000200p+33, -0x1.0000000000000p-52, 0x1.0000000000200p+33, -0x1.0100000000000p-44}, 1245{-0x1.0000000000002p-44, 0x1.0000000000000p-131, -0x1.0000000000200p+33, 0x1.0000000000000p-52, -0x1.0000000000200p+33, -0x1.fe00000000000p-45}, 1246{0x1.0000000000002p+32, -0x1.ffff800008000p-35, 0x1.000000003fffep-25, 0x1.f81fc007c0000p-96, 0x1.0000000000002p+32, 0x1.ff0000407ffc0p-26}, 1247{0x1.0000000000002p+32, -0x1.ffff800008000p-35, -0x1.000000003fffep-25, -0x1.f81fc007c0000p-96, 0x1.0000000000002p+32, -0x1.007fffe040020p-25}, 1248{-0x1.0000000000002p+32, 0x1.ffff800008000p-35, 0x1.000000003fffep-25, 0x1.f81fc007c0000p-96, -0x1.0000000000002p+32, 0x1.007fffe040020p-25}, 1249{-0x1.0000000000002p+32, 0x1.ffff800008000p-35, -0x1.000000003fffep-25, -0x1.f81fc007c0000p-96, -0x1.0000000000002p+32, -0x1.ff0000407ffc0p-26}, 1250{0x1.7ffffffff0000p+18, 0x1.ffff07fffc000p-46, 0x1.000000000ffe0p-32, 0x1.ff0000003c000p-95, 0x1.7ffffffff0004p+18, 0x1.ffff0bff7c000p-46}, 1251{0x1.7ffffffff0000p+18, 0x1.ffff07fffc000p-46, -0x1.000000000ffe0p-32, -0x1.ff0000003c000p-95, 0x1.7fffffffefffcp+18, 0x1.ffff04007c000p-46}, 1252{-0x1.7ffffffff0000p+18, -0x1.ffff07fffc000p-46, 0x1.000000000ffe0p-32, 0x1.ff0000003c000p-95, -0x1.7fffffffefffcp+18, -0x1.ffff04007c000p-46}, 1253{-0x1.7ffffffff0000p+18, -0x1.ffff07fffc000p-46, -0x1.000000000ffe0p-32, -0x1.ff0000003c000p-95, -0x1.7ffffffff0004p+18, -0x1.ffff0bff7c000p-46}, 1254{0x1.00007fff00080p-52, -0x1.ffffff0001000p-117, 0x1.00000000007c0p+41, 0x1.ffffff8000000p-26, 0x1.00000000007c0p+41, 0x1.ffffffc000000p-26}, 1255{0x1.00007fff00080p-52, -0x1.ffffff0001000p-117, -0x1.00000000007c0p+41, -0x1.ffffff8000000p-26, -0x1.00000000007c0p+41, -0x1.ffffff4000000p-26}, 1256{-0x1.00007fff00080p-52, 0x1.ffffff0001000p-117, 0x1.00000000007c0p+41, 0x1.ffffff8000000p-26, 0x1.00000000007c0p+41, 0x1.ffffff4000000p-26}, 1257{-0x1.00007fff00080p-52, 0x1.ffffff0001000p-117, -0x1.00000000007c0p+41, -0x1.ffffff8000000p-26, -0x1.00000000007c0p+41, -0x1.ffffffc000000p-26}, 1258{0x1.1fff81ff00000p+13, 0x1.e007ffff00000p-44, 0x1.1ffffffff8000p-5, 0x1.fe001ffffffe0p-61, 0x1.1fffc9ff00000p+13, -0x1.0ffb808078000p-43}, 1259{0x1.1fff81ff00000p+13, 0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, 0x1.1fff39ff00000p+13, 0x1.7801c03fbc000p-42}, 1260{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, 0x1.1ffffffff8000p-5, 0x1.fe001ffffffe0p-61, -0x1.1fff39ff00000p+13, -0x1.7801c03fbc000p-42}, 1261{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, -0x1.1fffc9ff00000p+13, 0x1.0ffb808078000p-43}, 1262{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.0080000000001p+24, -0x1.fff40607f8f74p-31}, 1263{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.ff00000000002p+23, 0x1.fffc05f808ef4p-31}, 1264{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.ff00000000002p+23, -0x1.fffc05f808ef4p-31}, 1265{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.0080000000001p+24, 0x1.fff40607f8f74p-31}, 1266{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, 0x1.001ffffc00280p+19, -0x1.fdfffc0200800p-42}, 1267{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, 0x1.001ffffbffe80p+19, -0x1.fe000401ff800p-42}, 1268{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, -0x1.001ffffbffe80p+19, 0x1.fe000401ff800p-42}, 1269{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, -0x1.001ffffc00280p+19, 0x1.fdfffc0200800p-42}, 1270{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, 0x1.0000207fff800p+37, 0x1.03ffffc00ffe0p-21}, 1271{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, 0x1.00001f7fff800p+37, 0x1.f7ffff801ffc0p-22}, 1272{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, -0x1.00001f7fff800p+37, -0x1.f7ffff801ffc0p-22}, 1273{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, -0x1.0000207fff800p+37, -0x1.03ffffc00ffe0p-21}, 1274{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.0400000000000p-34, 0x1.03ffff07ef800p-89}, 1275{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.f800000000000p-35, -0x1.f80001efe1000p-90}, 1276{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.f800000000000p-35, 0x1.f80001efe1000p-90}, 1277{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.0400000000000p-34, -0x1.03ffff07ef800p-89}, 1278{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, 0x1.0000004000020p+39, -0x1.e4000bfc61208p-17}, 1279{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, 0x1.ffffff7ffffc0p+38, 0x1.01fff9fdcf8fcp-16}, 1280{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, -0x1.ffffff7ffffc0p+38, -0x1.01fff9fdcf8fcp-16}, 1281{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, -0x1.0000004000020p+39, 0x1.e4000bfc61208p-17}, 1282{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, 0x1.3fffffffff800p-46}, 1283{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, -0x1.8000000001000p-47}, 1284{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, 0x1.8000000001000p-47}, 1285{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, -0x1.3fffffffff800p-46}, 1286{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, 0x1.0000000008060p+41, 0x1.00031ffd80200p-21}, 1287{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, 0x1.fffffffff00c0p+40, 0x1.fff64002ffc00p-22}, 1288{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, -0x1.fffffffff00c0p+40, -0x1.fff64002ffc00p-22}, 1289{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, -0x1.0000000008060p+41, -0x1.00031ffd80200p-21}, 1290{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.defffe0000000p-42}, 1291{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.e100060000000p-42}, 1292{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.e100060000000p-42}, 1293{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.defffe0000000p-42}, 1294// Some test cases drawn only from the [0.5,1] binade: 1295{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, 0x1.0003ffffffffcp-1, 0x1.ffffc00000000p-88, 0x1.0001fffffffffp+0, -0x1.ffc0fbff90000p-65}, 1296{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, -0x1.0003ffffffffcp-1, -0x1.ffffc00000000p-88, -0x1.ffffffffd0010p-16, 0x1.f7e0038400000p-76}, 1297{-0x1.0000000000002p-1, 0x1.ffc0ffff90000p-65, 0x1.0003ffffffffcp-1, 0x1.ffffc00000000p-88, 0x1.ffffffffd0010p-16, -0x1.f7e0038400000p-76}, 1298{-0x1.0000000000002p-1, 0x1.ffc0ffff90000p-65, -0x1.0003ffffffffcp-1, -0x1.ffffc00000000p-88, -0x1.0001fffffffffp+0, 0x1.ffc0fbff90000p-65}, 1299{0x1.0000100000000p-1, -0x1.0000000000000p-63, 0x1.0000000004000p-1, -0x1.ffffe00fc0200p-57, 0x1.0000080002000p+0, -0x1.01fff007e0100p-56}, 1300{0x1.0000100000000p-1, -0x1.0000000000000p-63, -0x1.0000000004000p-1, 0x1.ffffe00fc0200p-57, 0x1.ffff80003f800p-22, -0x1.ff03fe0000000p-77}, 1301{-0x1.0000100000000p-1, 0x1.0000000000000p-63, 0x1.0000000004000p-1, -0x1.ffffe00fc0200p-57, -0x1.ffff80003f800p-22, 0x1.ff03fe0000000p-77}, 1302{-0x1.0000100000000p-1, 0x1.0000000000000p-63, -0x1.0000000004000p-1, 0x1.ffffe00fc0200p-57, -0x1.0000080002000p+0, 0x1.01fff007e0100p-56}, 1303{0x1.0000000800000p-1, -0x1.0000000000000p-73, 0x1.000003fffc002p-1, -0x1.0000000000000p-106, 0x1.00000203fe001p+0, -0x1.0000000000000p-73}, 1304{0x1.0000000800000p-1, -0x1.0000000000000p-73, -0x1.000003fffc002p-1, 0x1.0000000000000p-106, -0x1.fbfe001000008p-24, 0x1.0000000000000p-106}, 1305{-0x1.0000000800000p-1, 0x1.0000000000000p-73, 0x1.000003fffc002p-1, -0x1.0000000000000p-106, 0x1.fbfe001000008p-24, -0x1.0000000000000p-106}, 1306{-0x1.0000000800000p-1, 0x1.0000000000000p-73, -0x1.000003fffc002p-1, 0x1.0000000000000p-106, -0x1.00000203fe001p+0, 0x1.0000000000000p-73}, 1307{0x1.0000000000000p-1, 0x1.ffc001ffffe00p-56, 0x1.000003fff8000p-1, 0x1.fffc000fc0000p-72, 0x1.000001fffc000p+0, 0x1.ffc201fbfff00p-56}, 1308{0x1.0000000000000p-1, 0x1.ffc001ffffe00p-56, -0x1.000003fff8000p-1, -0x1.fffc000fc0000p-72, -0x1.fffbfffe00420p-24, 0x1.01ffe82000000p-79}, 1309{-0x1.0000000000000p-1, -0x1.ffc001ffffe00p-56, 0x1.000003fff8000p-1, 0x1.fffc000fc0000p-72, 0x1.fffbfffe00420p-24, -0x1.01ffe82000000p-79}, 1310{-0x1.0000000000000p-1, -0x1.ffc001ffffe00p-56, -0x1.000003fff8000p-1, -0x1.fffc000fc0000p-72, -0x1.000001fffc000p+0, -0x1.ffc201fbfff00p-56}, 1311{0x1.0000000000003p-1, 0x1.fc00001fff800p-65, 0x1.0000000000020p-1, -0x1.fc01ffe002000p-65, 0x1.0000000000011p+0, 0x1.ffffffc007ffcp-54}, 1312{0x1.0000000000003p-1, 0x1.fc00001fff800p-65, -0x1.0000000000020p-1, 0x1.fc01ffe002000p-65, -0x1.cffc07fe00000p-49, 0x1.8000000000000p-105}, 1313{-0x1.0000000000003p-1, -0x1.fc00001fff800p-65, 0x1.0000000000020p-1, -0x1.fc01ffe002000p-65, 0x1.cffc07fe00000p-49, -0x1.8000000000000p-105}, 1314{-0x1.0000000000003p-1, -0x1.fc00001fff800p-65, -0x1.0000000000020p-1, 0x1.fc01ffe002000p-65, -0x1.0000000000011p+0, -0x1.ffffffc007ffcp-54}, 1315{0x1.0000000000000p-1, 0x1.fffff00001ffep-55, 0x1.0000000000000p-1, 0x1.ff00000ffff80p-61, 0x1.0000000000000p+0, 0x1.03fdf80020ffep-54}, 1316{0x1.0000000000000p-1, 0x1.fffff00001ffep-55, -0x1.0000000000000p-1, -0x1.ff00000ffff80p-61, 0x1.f803efffc2000p-55, 0x0.0000000000000p+0}, 1317{-0x1.0000000000000p-1, -0x1.fffff00001ffep-55, 0x1.0000000000000p-1, 0x1.ff00000ffff80p-61, -0x1.f803efffc2000p-55, 0x0.0000000000000p+0}, 1318{-0x1.0000000000000p-1, -0x1.fffff00001ffep-55, -0x1.0000000000000p-1, -0x1.ff00000ffff80p-61, -0x1.0000000000000p+0, -0x1.03fdf80020ffep-54}, 1319{0x1.0000000000000p-1, 0x1.ffffffffffc00p-64, 0x1.0000200000000p-1, -0x1.ffc0000080000p-73, 0x1.0000100000000p+0, 0x1.ff001fffff800p-64}, 1320{0x1.0000000000000p-1, 0x1.ffffffffffc00p-64, -0x1.0000200000000p-1, 0x1.ffc0000080000p-73, -0x1.ffffffffffbfep-21, -0x1.0000000000000p-83}, 1321{-0x1.0000000000000p-1, -0x1.ffffffffffc00p-64, 0x1.0000200000000p-1, -0x1.ffc0000080000p-73, 0x1.ffffffffffbfep-21, 0x1.0000000000000p-83}, 1322{-0x1.0000000000000p-1, -0x1.ffffffffffc00p-64, -0x1.0000200000000p-1, 0x1.ffc0000080000p-73, -0x1.0000100000000p+0, -0x1.ff001fffff800p-64}, 1323{0x1.0000000000800p-1, -0x1.fffc000000010p-58, 0x1.0000000000008p-1, -0x1.ffe03fffff010p-58, 0x1.0000000000404p+0, -0x1.ffee1fffff810p-57}, 1324{0x1.0000000000800p-1, -0x1.fffc000000010p-58, -0x1.0000000000008p-1, 0x1.ffe03fffff010p-58, 0x1.fdffffc880000p-43, -0x1.0000000000000p-98}, 1325{-0x1.0000000000800p-1, 0x1.fffc000000010p-58, 0x1.0000000000008p-1, -0x1.ffe03fffff010p-58, -0x1.fdffffc880000p-43, 0x1.0000000000000p-98}, 1326{-0x1.0000000000800p-1, 0x1.fffc000000010p-58, -0x1.0000000000008p-1, 0x1.ffe03fffff010p-58, -0x1.0000000000404p+0, 0x1.ffee1fffff810p-57}, 1327{0x1.0000000000000p-1, 0x1.fffef0ffff000p-64, 0x1.0000100000000p-1, -0x1.fff8000000800p-65, 0x1.0000080000000p+0, 0x1.0002f0ffff000p-64}, 1328{0x1.0000000000000p-1, 0x1.fffef0ffff000p-64, -0x1.0000100000000p-1, 0x1.fff8000000800p-65, -0x1.ffffffffff400p-22, -0x1.43c0003000000p-78}, 1329{-0x1.0000000000000p-1, -0x1.fffef0ffff000p-64, 0x1.0000100000000p-1, -0x1.fff8000000800p-65, 0x1.ffffffffff400p-22, 0x1.43c0003000000p-78}, 1330{-0x1.0000000000000p-1, -0x1.fffef0ffff000p-64, -0x1.0000100000000p-1, 0x1.fff8000000800p-65, -0x1.0000080000000p+0, -0x1.0002f0ffff000p-64}, 1331{0x1.07c00007ffff0p-1, 0x1.fffc00f800000p-77, 0x1.0000007ffffe0p-1, 0x1.f000000000000p-72, 0x1.03e00043fffe8p+0, 0x1.ffffe00800000p-72}, 1332{0x1.07c00007ffff0p-1, 0x1.fffc00f800000p-77, -0x1.0000007ffffe0p-1, -0x1.f000000000000p-72, 0x1.efffe20000400p-7, -0x1.e0001ff840000p-72}, 1333{-0x1.07c00007ffff0p-1, -0x1.fffc00f800000p-77, 0x1.0000007ffffe0p-1, 0x1.f000000000000p-72, -0x1.efffe20000400p-7, 0x1.e0001ff840000p-72}, 1334{-0x1.07c00007ffff0p-1, -0x1.fffc00f800000p-77, -0x1.0000007ffffe0p-1, -0x1.f000000000000p-72, -0x1.03e00043fffe8p+0, -0x1.ffffe00800000p-72}, 1335{0x1.0000000000000p-1, 0x1.ff800fffff800p-57, 0x1.0000000000000p-1, 0x1.fffc0000ffff8p-57, 0x1.0000000000000p+0, 0x1.ffbe08007fc00p-56}, 1336{0x1.0000000000000p-1, 0x1.ff800fffff800p-57, -0x1.0000000000000p-1, -0x1.fffc0000ffff8p-57, -0x1.efc00401fe000p-67, 0x0.0000000000000p+0}, 1337{-0x1.0000000000000p-1, -0x1.ff800fffff800p-57, 0x1.0000000000000p-1, 0x1.fffc0000ffff8p-57, 0x1.efc00401fe000p-67, 0x0.0000000000000p+0}, 1338{-0x1.0000000000000p-1, -0x1.ff800fffff800p-57, -0x1.0000000000000p-1, -0x1.fffc0000ffff8p-57, -0x1.0000000000000p+0, -0x1.ffbe08007fc00p-56}, 1339{0x1.0000000008000p-1, -0x1.ffff807ffe002p-55, 0x1.0000000800000p-1, -0x1.ffffff8000008p-57, 0x1.0000000404000p+0, -0x1.3fffc02fff002p-54}, 1340{0x1.0000000008000p-1, -0x1.ffff807ffe002p-55, -0x1.0000000800000p-1, 0x1.ffffff8000008p-57, -0x1.fe00017fff80ap-31, 0x1.0000000000000p-94}, 1341{-0x1.0000000008000p-1, 0x1.ffff807ffe002p-55, 0x1.0000000800000p-1, -0x1.ffffff8000008p-57, 0x1.fe00017fff80ap-31, -0x1.0000000000000p-94}, 1342{-0x1.0000000008000p-1, 0x1.ffff807ffe002p-55, -0x1.0000000800000p-1, 0x1.ffffff8000008p-57, -0x1.0000000404000p+0, 0x1.3fffc02fff002p-54}, 1343{0x1.0000000000020p-1, -0x1.0000000000000p-84, 0x1.0000000000000p-1, 0x1.fffff000003c0p-60, 0x1.0000000000010p+0, 0x1.ffffef0000400p-60}, 1344{0x1.0000000000020p-1, -0x1.0000000000000p-84, -0x1.0000000000000p-1, -0x1.fffff000003c0p-60, 0x1.ffc00001e0000p-49, -0x1.e000000000000p-103}, 1345{-0x1.0000000000020p-1, 0x1.0000000000000p-84, 0x1.0000000000000p-1, 0x1.fffff000003c0p-60, -0x1.ffc00001e0000p-49, 0x1.e000000000000p-103}, 1346{-0x1.0000000000020p-1, 0x1.0000000000000p-84, -0x1.0000000000000p-1, -0x1.fffff000003c0p-60, -0x1.0000000000010p+0, -0x1.ffffef0000400p-60}, 1347{0x1.0000001ffff80p-1, 0x1.fffffdfffff8ep-55, 0x1.0000000200000p-1, -0x1.0000000000000p-70, 0x1.00000010fffc0p+0, 0x1.fffdfdfffff90p-55}, 1348{0x1.0000001ffff80p-1, 0x1.fffffdfffff8ep-55, -0x1.0000000200000p-1, 0x1.0000000000000p-70, 0x1.dfff8080007f8p-29, -0x1.c800000000000p-101}, 1349{-0x1.0000001ffff80p-1, -0x1.fffffdfffff8ep-55, 0x1.0000000200000p-1, -0x1.0000000000000p-70, -0x1.dfff8080007f8p-29, 0x1.c800000000000p-101}, 1350{-0x1.0000001ffff80p-1, -0x1.fffffdfffff8ep-55, -0x1.0000000200000p-1, 0x1.0000000000000p-70, -0x1.00000010fffc0p+0, -0x1.fffdfdfffff90p-55}, 1351{0x1.01ffffff80400p-1, -0x1.c7ffffc000100p-59, 0x1.0000000000000p-1, 0x1.8fff01fffff00p-61, 0x1.00ffffffc0200p+0, -0x1.64003f4000140p-59}, 1352{0x1.01ffffff80400p-1, -0x1.c7ffffc000100p-59, -0x1.0000000000000p-1, -0x1.8fff01fffff00p-61, 0x1.ffffff803fff7p-9, 0x1.4003fbffff400p-63}, 1353{-0x1.01ffffff80400p-1, 0x1.c7ffffc000100p-59, 0x1.0000000000000p-1, 0x1.8fff01fffff00p-61, -0x1.ffffff803fff7p-9, -0x1.4003fbffff400p-63}, 1354{-0x1.01ffffff80400p-1, 0x1.c7ffffc000100p-59, -0x1.0000000000000p-1, -0x1.8fff01fffff00p-61, -0x1.00ffffffc0200p+0, 0x1.64003f4000140p-59}, 1355{0x1.0000000000008p-1, -0x1.ffffc00800000p-74, 0x1.00003ffe00002p-1, -0x1.ffffffc180080p-61, 0x1.00001fff00005p+0, -0x1.0007ffdfc0200p-60}, 1356{0x1.0000000000008p-1, -0x1.ffffc00800000p-74, -0x1.00003ffe00002p-1, 0x1.ffffffc180080p-61, -0x1.ffeffffcff001p-20, 0x1.fff86ff900000p-74}, 1357{-0x1.0000000000008p-1, 0x1.ffffc00800000p-74, 0x1.00003ffe00002p-1, -0x1.ffffffc180080p-61, 0x1.ffeffffcff001p-20, -0x1.fff86ff900000p-74}, 1358{-0x1.0000000000008p-1, 0x1.ffffc00800000p-74, -0x1.00003ffe00002p-1, 0x1.ffffffc180080p-61, -0x1.00001fff00005p+0, 0x1.0007ffdfc0200p-60}, 1359{0x1.000000ffffff8p-1, 0x1.ffffffc000000p-58, 0x1.0000000000000p-1, 0x1.ffffffe000000p-59, 0x1.0000007fffffcp+0, 0x1.7fffffd800000p-57}, 1360{0x1.000000ffffff8p-1, 0x1.ffffffc000000p-58, -0x1.0000000000000p-1, -0x1.ffffffe000000p-59, 0x1.ffffff0100000p-26, -0x1.8000000000000p-85}, 1361{-0x1.000000ffffff8p-1, -0x1.ffffffc000000p-58, 0x1.0000000000000p-1, 0x1.ffffffe000000p-59, -0x1.ffffff0100000p-26, 0x1.8000000000000p-85}, 1362{-0x1.000000ffffff8p-1, -0x1.ffffffc000000p-58, -0x1.0000000000000p-1, -0x1.ffffffe000000p-59, -0x1.0000007fffffcp+0, -0x1.7fffffd800000p-57}, 1363{0x1.0000000020000p-1, -0x1.0000000000000p-106, 0x1.0000000000400p-1, -0x1.ff1ffffff4000p-68, 0x1.0000000010200p+0, -0x1.ff1ffffff8000p-68}, 1364{0x1.0000000020000p-1, -0x1.0000000000000p-106, -0x1.0000000000400p-1, 0x1.ff1ffffff4000p-68, 0x1.fc000003fe400p-37, -0x1.0000000000000p-104}, 1365{-0x1.0000000020000p-1, 0x1.0000000000000p-106, 0x1.0000000000400p-1, -0x1.ff1ffffff4000p-68, -0x1.fc000003fe400p-37, 0x1.0000000000000p-104}, 1366{-0x1.0000000020000p-1, 0x1.0000000000000p-106, -0x1.0000000000400p-1, 0x1.ff1ffffff4000p-68, -0x1.0000000010200p+0, 0x1.ff1ffffff8000p-68}, 1367{0x1.0000ff8020000p-1, -0x1.fffffa0000000p-63, 0x1.0000000001ff0p-1, 0x1.f700000ffe000p-67, 0x1.00007fc010ff8p+0, -0x1.e08ff9ff00000p-63}, 1368{0x1.0000ff8020000p-1, -0x1.fffffa0000000p-63, -0x1.0000000001ff0p-1, -0x1.f700000ffe000p-67, 0x1.ff003c01ffef0p-18, 0x1.200bfe0040000p-72}, 1369{-0x1.0000ff8020000p-1, 0x1.fffffa0000000p-63, 0x1.0000000001ff0p-1, 0x1.f700000ffe000p-67, -0x1.ff003c01ffef0p-18, -0x1.200bfe0040000p-72}, 1370{-0x1.0000ff8020000p-1, 0x1.fffffa0000000p-63, -0x1.0000000001ff0p-1, -0x1.f700000ffe000p-67, -0x1.00007fc010ff8p+0, 0x1.e08ff9ff00000p-63}, 1371{0x1.0000020000000p-1, -0x1.0000000000000p-65, 0x1.003e00001f800p-1, 0x1.ffde000001e00p-63, 0x1.001f01000fc00p+0, 0x1.bfde000002000p-63}, 1372{0x1.0000020000000p-1, -0x1.0000000000000p-65, -0x1.003e00001f800p-1, -0x1.ffde000001e00p-63, -0x1.eff000fc00004p-12, -0x1.fef000000f000p-66}, 1373{-0x1.0000020000000p-1, 0x1.0000000000000p-65, 0x1.003e00001f800p-1, 0x1.ffde000001e00p-63, 0x1.eff000fc00004p-12, 0x1.fef000000f000p-66}, 1374{-0x1.0000020000000p-1, 0x1.0000000000000p-65, -0x1.003e00001f800p-1, -0x1.ffde000001e00p-63, -0x1.001f01000fc00p+0, -0x1.bfde000002000p-63}, 1375{0x1.0007e3ffe0000p-1, 0x1.fe0ffffffe000p-65, 0x1.0000000000000p-1, 0x1.fffffe07fff00p-62, 0x1.0003f1fff0000p+0, 0x1.1fe0ff03ffe00p-61}, 1376{0x1.0007e3ffe0000p-1, 0x1.fe0ffffffe000p-65, -0x1.0000000000000p-1, -0x1.fffffe07fff00p-62, 0x1.f8fff7fffffc8p-15, -0x1.eff0400180000p-73}, 1377{-0x1.0007e3ffe0000p-1, -0x1.fe0ffffffe000p-65, 0x1.0000000000000p-1, 0x1.fffffe07fff00p-62, -0x1.f8fff7fffffc8p-15, 0x1.eff0400180000p-73}, 1378{-0x1.0007e3ffe0000p-1, -0x1.fe0ffffffe000p-65, -0x1.0000000000000p-1, -0x1.fffffe07fff00p-62, -0x1.0003f1fff0000p+0, -0x1.1fe0ff03ffe00p-61}, 1379{0x1.00000000fe000p-1, 0x1.ff00004000000p-68, 0x1.000003fffff80p-1, 0x1.fff8400000000p-61, 0x1.000002007efc0p+0, 0x1.01fb200040000p-60}, 1380{0x1.00000000fe000p-1, 0x1.ff00004000000p-68, -0x1.000003fffff80p-1, -0x1.fff8400000000p-61, -0x1.ff80fc000fdfdp-24, -0x1.fffc000000000p-80}, 1381{-0x1.00000000fe000p-1, -0x1.ff00004000000p-68, 0x1.000003fffff80p-1, 0x1.fff8400000000p-61, 0x1.ff80fc000fdfdp-24, 0x1.fffc000000000p-80}, 1382{-0x1.00000000fe000p-1, -0x1.ff00004000000p-68, -0x1.000003fffff80p-1, -0x1.fff8400000000p-61, -0x1.000002007efc0p+0, 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-0x1.0000000000101p+0, 0x1.4000000000000p-86}, 1759{0x1.0000000000002p-1, -0x1.ffff800008000p-68, 0x1.000000003fffep-1, 0x1.f81fc007c0000p-72, 0x1.0000000020000p+0, -0x1.e07d83ff90000p-68}, 1760{0x1.0000000000002p-1, -0x1.ffff800008000p-68, -0x1.000000003fffep-1, -0x1.f81fc007c0000p-72, -0x1.fffe00021f818p-36, 0x1.ffbe000000000p-91}, 1761{-0x1.0000000000002p-1, 0x1.ffff800008000p-68, 0x1.000000003fffep-1, 0x1.f81fc007c0000p-72, 0x1.fffe00021f818p-36, -0x1.ffbe000000000p-91}, 1762{-0x1.0000000000002p-1, 0x1.ffff800008000p-68, -0x1.000000003fffep-1, -0x1.f81fc007c0000p-72, -0x1.0000000020000p+0, 0x1.e07d83ff90000p-68}, 1763{0x1.7ffffffff0000p-1, 0x1.ffff07fffc000p-65, 0x1.000000000ffe0p-1, 0x1.ff0000003c000p-64, 0x1.3fffffffffff0p+0, 0x1.7f7fc2001d000p-63}, 1764{0x1.7ffffffff0000p-1, 0x1.ffff07fffc000p-65, -0x1.000000000ffe0p-1, -0x1.ff0000003c000p-64, 0x1.ffffffff80080p-3, -0x1.fe00f8007c000p-65}, 1765{-0x1.7ffffffff0000p-1, -0x1.ffff07fffc000p-65, 0x1.000000000ffe0p-1, 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-0x1.1ffffffff8000p-1, -0x1.fe001ffffffe0p-57, -0x1.f803e0000437fp-19, -0x1.0003fff000000p-76}, 1773{-0x1.1fff81ff00000p-1, -0x1.e007ffff00000p-58, 0x1.1ffffffff8000p-1, 0x1.fe001ffffffe0p-57, 0x1.f803e0000437fp-19, 0x1.0003fff000000p-76}, 1774{-0x1.1fff81ff00000p-1, -0x1.e007ffff00000p-58, -0x1.1ffffffff8000p-1, -0x1.fe001ffffffe0p-57, -0x1.1fffc0ff7c000p+0, -0x1.77020fffbfff0p-56}, 1775{0x1.0000000000000p-1, 0x1.fffc03fe00700p-62, 0x1.0000000000001p-1, -0x1.fff8060000f34p-56, 0x1.0000000000000p+0, 0x1.8201fa83fdc3ap-54}, 1776{0x1.0000000000000p-1, 0x1.fffc03fe00700p-62, -0x1.0000000000001p-1, 0x1.fff8060000f34p-56, -0x1.7e02027c01c2cp-54, 0x0.0000000000000p+0}, 1777{-0x1.0000000000000p-1, -0x1.fffc03fe00700p-62, 0x1.0000000000001p-1, -0x1.fff8060000f34p-56, 0x1.7e02027c01c2cp-54, 0x0.0000000000000p+0}, 1778{-0x1.0000000000000p-1, -0x1.fffc03fe00700p-62, -0x1.0000000000001p-1, 0x1.fff8060000f34p-56, -0x1.0000000000000p+0, -0x1.8201fa83fdc3ap-54}, 1779{0x1.001ffffc00080p-1, -0x1.fe00000200000p-62, 0x1.0000000001000p-1, -0x1.fe3ffffff0080p-61, 0x1.000ffffe00840p+0, -0x1.7ea0000078000p-60}, 1780{0x1.001ffffc00080p-1, -0x1.fe00000200000p-62, -0x1.0000000001000p-1, 0x1.fe3ffffff0080p-61, 0x1.ffffbff080010p-13, -0x1.8000021ff0000p-70}, 1781{-0x1.001ffffc00080p-1, 0x1.fe00000200000p-62, 0x1.0000000001000p-1, -0x1.fe3ffffff0080p-61, -0x1.ffffbff080010p-13, 0x1.8000021ff0000p-70}, 1782{-0x1.001ffffc00080p-1, 0x1.fe00000200000p-62, -0x1.0000000001000p-1, 0x1.fe3ffffff0080p-61, -0x1.000ffffe00840p+0, 0x1.7ea0000078000p-60}, 1783{0x1.00001fffff800p-1, 0x1.ffffff801ffc0p-60, 0x1.0000000002000p-1, -0x1.0000000000000p-106, 0x1.0000100000c00p+0, 0x1.ffffff801ff80p-60}, 1784{0x1.00001fffff800p-1, 0x1.ffffff801ffc0p-60, -0x1.0000000002000p-1, 0x1.0000000000000p-106, 0x1.ffffd80004000p-21, -0x1.ff80000000000p-86}, 1785{-0x1.00001fffff800p-1, -0x1.ffffff801ffc0p-60, 0x1.0000000002000p-1, -0x1.0000000000000p-106, -0x1.ffffd80004000p-21, 0x1.ff80000000000p-86}, 1786{-0x1.00001fffff800p-1, -0x1.ffffff801ffc0p-60, -0x1.0000000002000p-1, 0x1.0000000000000p-106, -0x1.0000100000c00p+0, -0x1.ffffff801ff80p-60}, 1787{0x1.0000000000000p-1, 0x1.ffff83ffbfff0p-57, 0x1.0000000000000p-1, 0x1.ffffffffe0000p-57, 0x1.0000000000000p+0, 0x1.ffffc1ffcfff8p-56}, 1788{0x1.0000000000000p-1, 0x1.ffff83ffbfff0p-57, -0x1.0000000000000p-1, -0x1.ffffffffe0000p-57, -0x1.f000800400000p-75, 0x0.0000000000000p+0}, 1789{-0x1.0000000000000p-1, -0x1.ffff83ffbfff0p-57, 0x1.0000000000000p-1, 0x1.ffffffffe0000p-57, 0x1.f000800400000p-75, 0x0.0000000000000p+0}, 1790{-0x1.0000000000000p-1, -0x1.ffff83ffbfff0p-57, -0x1.0000000000000p-1, -0x1.ffffffffe0000p-57, -0x1.0000000000000p+0, -0x1.ffffc1ffcfff8p-56}, 1791{0x1.0000000000000p-1, 0x1.fffe7ff3dff00p-62, 0x1.000007f830000p-1, 0x1.fff0000ffe100p-62, 0x1.000003fc18000p+0, 0x1.fff74001ef000p-61}, 1792{0x1.0000000000000p-1, 0x1.fffe7ff3dff00p-62, -0x1.000007f830000p-1, -0x1.fff0000ffe100p-62, -0x1.fe0bffffffffep-23, -0x1.801c1e2000000p-78}, 1793{-0x1.0000000000000p-1, -0x1.fffe7ff3dff00p-62, 0x1.000007f830000p-1, 0x1.fff0000ffe100p-62, 0x1.fe0bffffffffep-23, 0x1.801c1e2000000p-78}, 1794{-0x1.0000000000000p-1, -0x1.fffe7ff3dff00p-62, -0x1.000007f830000p-1, -0x1.fff0000ffe100p-62, -0x1.000003fc18000p+0, -0x1.fff74001ef000p-61}, 1795{0x1.00000ffffe000p-1, 0x1.fffffffffc000p-68, 0x1.0000000000002p-1, -0x1.fffffe01f8004p-56, 0x1.000007ffff001p+0, -0x1.ffdffe01f8008p-56}, 1796{0x1.00000ffffe000p-1, 0x1.fffffffffc000p-68, -0x1.0000000000002p-1, 0x1.fffffe01f8004p-56, 0x1.ffffbffc80080p-22, -0x1.fe08000000000p-80}, 1797{-0x1.00000ffffe000p-1, -0x1.fffffffffc000p-68, 0x1.0000000000002p-1, -0x1.fffffe01f8004p-56, -0x1.ffffbffc80080p-22, 0x1.fe08000000000p-80}, 1798{-0x1.00000ffffe000p-1, -0x1.fffffffffc000p-68, -0x1.0000000000002p-1, 0x1.fffffe01f8004p-56, -0x1.000007ffff001p+0, 0x1.ffdffe01f8008p-56}, 1799{0x1.0000000000060p-1, 0x1.fffe3fff00000p-64, 0x1.0000000002000p-1, -0x1.ffe0002000000p-58, 0x1.0000000001030p+0, -0x1.f7e0072004000p-58}, 1800{0x1.0000000000060p-1, 0x1.fffe3fff00000p-64, -0x1.0000000002000p-1, 0x1.ffe0002000000p-58, -0x1.f9fefc1003700p-41, -0x1.0000000000000p-96}, 1801{-0x1.0000000000060p-1, -0x1.fffe3fff00000p-64, 0x1.0000000002000p-1, -0x1.ffe0002000000p-58, 0x1.f9fefc1003700p-41, 0x1.0000000000000p-96}, 1802{-0x1.0000000000060p-1, -0x1.fffe3fff00000p-64, -0x1.0000000002000p-1, 0x1.ffe0002000000p-58, -0x1.0000000001030p+0, 0x1.f7e0072004000p-58}, 1803{0x1.0003ffffffff8p-1, 0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.0401800003ffcp+0, -0x1.dff00200fc000p-62}, 1804{0x1.0003ffffffff8p-1, 0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.fec0000200200p-7, 0x1.e01001ff03f00p-62}, 1805{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.fec0000200200p-7, -0x1.e01001ff03f00p-62}, 1806{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.0401800003ffcp+0, 0x1.dff00200fc000p-62}, 1807}; 1808 1809const int numAccuracyTests = sizeof(accuracyTests) / sizeof(struct testVector); 1810 1811#include <math.h> 1812 1813double testAccuracy() { 1814 int i; 1815 DD a, b, c, r; 1816 1817 double worstUlps = 0.5; 1818 1819 for (i=0; i<numAccuracyTests; ++i) { 1820 a.hi = accuracyTests[i].xhi; 1821 a.lo = accuracyTests[i].xlo; 1822 b.hi = -accuracyTests[i].yhi; 1823 b.lo = -accuracyTests[i].ylo; 1824 r.hi = accuracyTests[i].rhi; 1825 r.lo = accuracyTests[i].rlo; 1826 1827 DD c = { .ld = __gcc_qsub(a.ld, b.ld) }; 1828 1829 double error = __builtin_fabs(((r.hi - c.hi) + r.lo) - c.lo); 1830 1831 if (error != 0.0) { 1832 1833 int exponent = ilogb(r.hi); 1834 exponent = (exponent < -1022 ? -1022 : exponent); 1835 double ulpError = scalbn(error, 106 - exponent); 1836 1837 if (ulpError > worstUlps) { 1838#ifdef PRINT_ACCURACY_INFORMATION 1839 printf("New worst rounding error for (%a,%a) + (%a,%a):\n", a.hi, a.lo, b.hi, b.lo); 1840 printf("\tExpected: (%a,%a)\n", r.hi, r.lo); 1841 printf("\tComputed: (%a,%a)\n", c.hi, c.lo); 1842 printf("\tError: %f ulps\n", ulpError); 1843#endif 1844 worstUlps = ulpError; 1845 } 1846 } 1847 } 1848 1849 return worstUlps; 1850} 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875