1 ------------------------------------------------------------------------ 2 -- ddDivide.decTest -- decDouble division -- 3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4 ------------------------------------------------------------------------ 5 -- Please see the document "General Decimal Arithmetic Testcases" -- 6 -- at http://www2.hursley.ibm.com/decimal for the description of -- 7 -- these testcases. -- 8 -- -- 9 -- These testcases are experimental ('beta' versions), and they -- 10 -- may contain errors. They are offered on an as-is basis. In -- 11 -- particular, achieving the same results as the tests here is not -- 12 -- a guarantee that an implementation complies with any Standard -- 13 -- or specification. The tests are not exhaustive. -- 14 -- -- 15 -- Please send comments, suggestions, and corrections to the author: -- 16 -- Mike Cowlishaw, IBM Fellow -- 17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18 -- mfc (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 precision: 16 23 maxExponent: 384 24 minExponent: -383 25 extended: 1 26 clamp: 1 27 rounding: half_even 28 29 -- sanity checks 30 dddiv001 divide 1 1 -> 1 31 dddiv002 divide 2 1 -> 2 32 dddiv003 divide 1 2 -> 0.5 33 dddiv004 divide 2 2 -> 1 34 dddiv005 divide 0 1 -> 0 35 dddiv006 divide 0 2 -> 0 36 dddiv007 divide 1 3 -> 0.3333333333333333 Inexact Rounded 37 dddiv008 divide 2 3 -> 0.6666666666666667 Inexact Rounded 38 dddiv009 divide 3 3 -> 1 39 40 dddiv010 divide 2.4 1 -> 2.4 41 dddiv011 divide 2.4 -1 -> -2.4 42 dddiv012 divide -2.4 1 -> -2.4 43 dddiv013 divide -2.4 -1 -> 2.4 44 dddiv014 divide 2.40 1 -> 2.40 45 dddiv015 divide 2.400 1 -> 2.400 46 dddiv016 divide 2.4 2 -> 1.2 47 dddiv017 divide 2.400 2 -> 1.200 48 dddiv018 divide 2. 2 -> 1 49 dddiv019 divide 20 20 -> 1 50 51 dddiv020 divide 187 187 -> 1 52 dddiv021 divide 5 2 -> 2.5 53 dddiv022 divide 50 20 -> 2.5 54 dddiv023 divide 500 200 -> 2.5 55 dddiv024 divide 50.0 20.0 -> 2.5 56 dddiv025 divide 5.00 2.00 -> 2.5 57 dddiv026 divide 5 2.0 -> 2.5 58 dddiv027 divide 5 2.000 -> 2.5 59 dddiv028 divide 5 0.20 -> 25 60 dddiv029 divide 5 0.200 -> 25 61 dddiv030 divide 10 1 -> 10 62 dddiv031 divide 100 1 -> 100 63 dddiv032 divide 1000 1 -> 1000 64 dddiv033 divide 1000 100 -> 10 65 66 dddiv035 divide 1 2 -> 0.5 67 dddiv036 divide 1 4 -> 0.25 68 dddiv037 divide 1 8 -> 0.125 69 dddiv038 divide 1 16 -> 0.0625 70 dddiv039 divide 1 32 -> 0.03125 71 dddiv040 divide 1 64 -> 0.015625 72 dddiv041 divide 1 -2 -> -0.5 73 dddiv042 divide 1 -4 -> -0.25 74 dddiv043 divide 1 -8 -> -0.125 75 dddiv044 divide 1 -16 -> -0.0625 76 dddiv045 divide 1 -32 -> -0.03125 77 dddiv046 divide 1 -64 -> -0.015625 78 dddiv047 divide -1 2 -> -0.5 79 dddiv048 divide -1 4 -> -0.25 80 dddiv049 divide -1 8 -> -0.125 81 dddiv050 divide -1 16 -> -0.0625 82 dddiv051 divide -1 32 -> -0.03125 83 dddiv052 divide -1 64 -> -0.015625 84 dddiv053 divide -1 -2 -> 0.5 85 dddiv054 divide -1 -4 -> 0.25 86 dddiv055 divide -1 -8 -> 0.125 87 dddiv056 divide -1 -16 -> 0.0625 88 dddiv057 divide -1 -32 -> 0.03125 89 dddiv058 divide -1 -64 -> 0.015625 90 91 -- bcdTime 92 dddiv060 divide 1 7 -> 0.1428571428571429 Inexact Rounded 93 dddiv061 divide 1.2345678 1.9876543 -> 0.6211179680490717 Inexact Rounded 94 95 -- 1234567890123456 96 dddiv071 divide 9999999999999999 1 -> 9999999999999999 97 dddiv072 divide 999999999999999 1 -> 999999999999999 98 dddiv073 divide 99999999999999 1 -> 99999999999999 99 dddiv074 divide 9999999999999 1 -> 9999999999999 100 dddiv075 divide 999999999999 1 -> 999999999999 101 dddiv076 divide 99999999999 1 -> 99999999999 102 dddiv077 divide 9999999999 1 -> 9999999999 103 dddiv078 divide 999999999 1 -> 999999999 104 dddiv079 divide 99999999 1 -> 99999999 105 dddiv080 divide 9999999 1 -> 9999999 106 dddiv081 divide 999999 1 -> 999999 107 dddiv082 divide 99999 1 -> 99999 108 dddiv083 divide 9999 1 -> 9999 109 dddiv084 divide 999 1 -> 999 110 dddiv085 divide 99 1 -> 99 111 dddiv086 divide 9 1 -> 9 112 113 dddiv090 divide 0. 1 -> 0 114 dddiv091 divide .0 1 -> 0.0 115 dddiv092 divide 0.00 1 -> 0.00 116 dddiv093 divide 0.00E+9 1 -> 0E+7 117 dddiv094 divide 0.0000E-50 1 -> 0E-54 118 119 dddiv095 divide 1 1E-8 -> 1E+8 120 dddiv096 divide 1 1E-9 -> 1E+9 121 dddiv097 divide 1 1E-10 -> 1E+10 122 dddiv098 divide 1 1E-11 -> 1E+11 123 dddiv099 divide 1 1E-12 -> 1E+12 124 125 dddiv100 divide 1 1 -> 1 126 dddiv101 divide 1 2 -> 0.5 127 dddiv102 divide 1 3 -> 0.3333333333333333 Inexact Rounded 128 dddiv103 divide 1 4 -> 0.25 129 dddiv104 divide 1 5 -> 0.2 130 dddiv105 divide 1 6 -> 0.1666666666666667 Inexact Rounded 131 dddiv106 divide 1 7 -> 0.1428571428571429 Inexact Rounded 132 dddiv107 divide 1 8 -> 0.125 133 dddiv108 divide 1 9 -> 0.1111111111111111 Inexact Rounded 134 dddiv109 divide 1 10 -> 0.1 135 dddiv110 divide 1 1 -> 1 136 dddiv111 divide 2 1 -> 2 137 dddiv112 divide 3 1 -> 3 138 dddiv113 divide 4 1 -> 4 139 dddiv114 divide 5 1 -> 5 140 dddiv115 divide 6 1 -> 6 141 dddiv116 divide 7 1 -> 7 142 dddiv117 divide 8 1 -> 8 143 dddiv118 divide 9 1 -> 9 144 dddiv119 divide 10 1 -> 10 145 146 dddiv120 divide 3E+1 0.001 -> 3E+4 147 dddiv121 divide 2.200 2 -> 1.100 148 149 dddiv130 divide 12345 4.999 -> 2469.493898779756 Inexact Rounded 150 dddiv131 divide 12345 4.99 -> 2473.947895791583 Inexact Rounded 151 dddiv132 divide 12345 4.9 -> 2519.387755102041 Inexact Rounded 152 dddiv133 divide 12345 5 -> 2469 153 dddiv134 divide 12345 5.1 -> 2420.588235294118 Inexact Rounded 154 dddiv135 divide 12345 5.01 -> 2464.071856287425 Inexact Rounded 155 dddiv136 divide 12345 5.001 -> 2468.506298740252 Inexact Rounded 156 157 -- test possibly imprecise results 158 dddiv220 divide 391 597 -> 0.6549413735343384 Inexact Rounded 159 dddiv221 divide 391 -597 -> -0.6549413735343384 Inexact Rounded 160 dddiv222 divide -391 597 -> -0.6549413735343384 Inexact Rounded 161 dddiv223 divide -391 -597 -> 0.6549413735343384 Inexact Rounded 162 163 -- test some cases that are close to exponent overflow, some with coefficient padding 164 dddiv270 divide 1 1e384 -> 1E-384 Subnormal 165 dddiv271 divide 1 0.9e384 -> 1.11111111111111E-384 Rounded Inexact Subnormal Underflow 166 dddiv272 divide 1 0.99e384 -> 1.01010101010101E-384 Rounded Inexact Subnormal Underflow 167 dddiv273 divide 1 0.9999999999999999e384 -> 1.00000000000000E-384 Rounded Inexact Subnormal Underflow 168 dddiv274 divide 9e384 1 -> 9.000000000000000E+384 Clamped 169 dddiv275 divide 9.9e384 1 -> 9.900000000000000E+384 Clamped 170 dddiv276 divide 9.99e384 1 -> 9.990000000000000E+384 Clamped 171 dddiv277 divide 9.9999999999999e384 1 -> 9.999999999999900E+384 Clamped 172 dddiv278 divide 9.99999999999999e384 1 -> 9.999999999999990E+384 Clamped 173 dddiv279 divide 9.999999999999999e384 1 -> 9.999999999999999E+384 174 175 dddiv285 divide 9.9e384 1.1 -> 9.000000000000000E+384 Clamped 176 dddiv286 divide 9.99e384 1.1 -> 9.081818181818182E+384 Inexact Rounded 177 dddiv287 divide 9.9999999999999e384 1.1 -> 9.090909090909000E+384 Clamped 178 dddiv288 divide 9.99999999999999e384 1.1 -> 9.090909090909082E+384 Inexact Rounded 179 dddiv289 divide 9.999999999999999e384 1.1 -> 9.090909090909090E+384 Clamped 180 181 182 -- Divide into 0 tests 183 dddiv301 divide 0 7 -> 0 184 dddiv302 divide 0 7E-5 -> 0E+5 185 dddiv303 divide 0 7E-1 -> 0E+1 186 dddiv304 divide 0 7E+1 -> 0.0 187 dddiv305 divide 0 7E+5 -> 0.00000 188 dddiv306 divide 0 7E+6 -> 0.000000 189 dddiv307 divide 0 7E+7 -> 0E-7 190 dddiv308 divide 0 70E-5 -> 0E+5 191 dddiv309 divide 0 70E-1 -> 0E+1 192 dddiv310 divide 0 70E+0 -> 0 193 dddiv311 divide 0 70E+1 -> 0.0 194 dddiv312 divide 0 70E+5 -> 0.00000 195 dddiv313 divide 0 70E+6 -> 0.000000 196 dddiv314 divide 0 70E+7 -> 0E-7 197 dddiv315 divide 0 700E-5 -> 0E+5 198 dddiv316 divide 0 700E-1 -> 0E+1 199 dddiv317 divide 0 700E+0 -> 0 200 dddiv318 divide 0 700E+1 -> 0.0 201 dddiv319 divide 0 700E+5 -> 0.00000 202 dddiv320 divide 0 700E+6 -> 0.000000 203 dddiv321 divide 0 700E+7 -> 0E-7 204 dddiv322 divide 0 700E+77 -> 0E-77 205 206 dddiv331 divide 0E-3 7E-5 -> 0E+2 207 dddiv332 divide 0E-3 7E-1 -> 0.00 208 dddiv333 divide 0E-3 7E+1 -> 0.0000 209 dddiv334 divide 0E-3 7E+5 -> 0E-8 210 dddiv335 divide 0E-1 7E-5 -> 0E+4 211 dddiv336 divide 0E-1 7E-1 -> 0 212 dddiv337 divide 0E-1 7E+1 -> 0.00 213 dddiv338 divide 0E-1 7E+5 -> 0.000000 214 dddiv339 divide 0E+1 7E-5 -> 0E+6 215 dddiv340 divide 0E+1 7E-1 -> 0E+2 216 dddiv341 divide 0E+1 7E+1 -> 0 217 dddiv342 divide 0E+1 7E+5 -> 0.0000 218 dddiv343 divide 0E+3 7E-5 -> 0E+8 219 dddiv344 divide 0E+3 7E-1 -> 0E+4 220 dddiv345 divide 0E+3 7E+1 -> 0E+2 221 dddiv346 divide 0E+3 7E+5 -> 0.00 222 223 -- These were 'input rounding' 224 dddiv441 divide 12345678000 1 -> 12345678000 225 dddiv442 divide 1 12345678000 -> 8.100000664200054E-11 Inexact Rounded 226 dddiv443 divide 1234567800 1 -> 1234567800 227 dddiv444 divide 1 1234567800 -> 8.100000664200054E-10 Inexact Rounded 228 dddiv445 divide 1234567890 1 -> 1234567890 229 dddiv446 divide 1 1234567890 -> 8.100000073710001E-10 Inexact Rounded 230 dddiv447 divide 1234567891 1 -> 1234567891 231 dddiv448 divide 1 1234567891 -> 8.100000067149001E-10 Inexact Rounded 232 dddiv449 divide 12345678901 1 -> 12345678901 233 dddiv450 divide 1 12345678901 -> 8.100000073053901E-11 Inexact Rounded 234 dddiv451 divide 1234567896 1 -> 1234567896 235 dddiv452 divide 1 1234567896 -> 8.100000034344000E-10 Inexact Rounded 236 237 -- high-lows 238 dddiv453 divide 1e+1 1 -> 1E+1 239 dddiv454 divide 1e+1 1.0 -> 1E+1 240 dddiv455 divide 1e+1 1.00 -> 1E+1 241 dddiv456 divide 1e+2 2 -> 5E+1 242 dddiv457 divide 1e+2 2.0 -> 5E+1 243 dddiv458 divide 1e+2 2.00 -> 5E+1 244 245 -- some from IEEE discussions 246 dddiv460 divide 3e0 2e0 -> 1.5 247 dddiv461 divide 30e-1 2e0 -> 1.5 248 dddiv462 divide 300e-2 2e0 -> 1.50 249 dddiv464 divide 3000e-3 2e0 -> 1.500 250 dddiv465 divide 3e0 20e-1 -> 1.5 251 dddiv466 divide 30e-1 20e-1 -> 1.5 252 dddiv467 divide 300e-2 20e-1 -> 1.5 253 dddiv468 divide 3000e-3 20e-1 -> 1.50 254 dddiv469 divide 3e0 200e-2 -> 1.5 255 dddiv470 divide 30e-1 200e-2 -> 1.5 256 dddiv471 divide 300e-2 200e-2 -> 1.5 257 dddiv472 divide 3000e-3 200e-2 -> 1.5 258 dddiv473 divide 3e0 2000e-3 -> 1.5 259 dddiv474 divide 30e-1 2000e-3 -> 1.5 260 dddiv475 divide 300e-2 2000e-3 -> 1.5 261 dddiv476 divide 3000e-3 2000e-3 -> 1.5 262 263 -- some reciprocals 264 dddiv480 divide 1 1.0E+33 -> 1E-33 265 dddiv481 divide 1 10E+33 -> 1E-34 266 dddiv482 divide 1 1.0E-33 -> 1E+33 267 dddiv483 divide 1 10E-33 -> 1E+32 268 269 -- RMS discussion table 270 dddiv484 divide 0e5 1e3 -> 0E+2 271 dddiv485 divide 0e5 2e3 -> 0E+2 272 dddiv486 divide 0e5 10e2 -> 0E+3 273 dddiv487 divide 0e5 20e2 -> 0E+3 274 dddiv488 divide 0e5 100e1 -> 0E+4 275 dddiv489 divide 0e5 200e1 -> 0E+4 276 277 dddiv491 divide 1e5 1e3 -> 1E+2 278 dddiv492 divide 1e5 2e3 -> 5E+1 279 dddiv493 divide 1e5 10e2 -> 1E+2 280 dddiv494 divide 1e5 20e2 -> 5E+1 281 dddiv495 divide 1e5 100e1 -> 1E+2 282 dddiv496 divide 1e5 200e1 -> 5E+1 283 284 -- tryzeros cases 285 rounding: half_up 286 dddiv497 divide 0E+380 1000E-13 -> 0E+369 Clamped 287 dddiv498 divide 0E-390 1000E+13 -> 0E-398 Clamped 288 289 rounding: half_up 290 291 -- focus on trailing zeros issues 292 dddiv500 divide 1 9.9 -> 0.1010101010101010 Inexact Rounded 293 dddiv501 divide 1 9.09 -> 0.1100110011001100 Inexact Rounded 294 dddiv502 divide 1 9.009 -> 0.1110001110001110 Inexact Rounded 295 296 dddiv511 divide 1 2 -> 0.5 297 dddiv512 divide 1.0 2 -> 0.5 298 dddiv513 divide 1.00 2 -> 0.50 299 dddiv514 divide 1.000 2 -> 0.500 300 dddiv515 divide 1.0000 2 -> 0.5000 301 dddiv516 divide 1.00000 2 -> 0.50000 302 dddiv517 divide 1.000000 2 -> 0.500000 303 dddiv518 divide 1.0000000 2 -> 0.5000000 304 dddiv519 divide 1.00 2.00 -> 0.5 305 306 dddiv521 divide 2 1 -> 2 307 dddiv522 divide 2 1.0 -> 2 308 dddiv523 divide 2 1.00 -> 2 309 dddiv524 divide 2 1.000 -> 2 310 dddiv525 divide 2 1.0000 -> 2 311 dddiv526 divide 2 1.00000 -> 2 312 dddiv527 divide 2 1.000000 -> 2 313 dddiv528 divide 2 1.0000000 -> 2 314 dddiv529 divide 2.00 1.00 -> 2 315 316 dddiv530 divide 2.40 2 -> 1.20 317 dddiv531 divide 2.40 4 -> 0.60 318 dddiv532 divide 2.40 10 -> 0.24 319 dddiv533 divide 2.40 2.0 -> 1.2 320 dddiv534 divide 2.40 4.0 -> 0.6 321 dddiv535 divide 2.40 10.0 -> 0.24 322 dddiv536 divide 2.40 2.00 -> 1.2 323 dddiv537 divide 2.40 4.00 -> 0.6 324 dddiv538 divide 2.40 10.00 -> 0.24 325 dddiv539 divide 0.9 0.1 -> 9 326 dddiv540 divide 0.9 0.01 -> 9E+1 327 dddiv541 divide 0.9 0.001 -> 9E+2 328 dddiv542 divide 5 2 -> 2.5 329 dddiv543 divide 5 2.0 -> 2.5 330 dddiv544 divide 5 2.00 -> 2.5 331 dddiv545 divide 5 20 -> 0.25 332 dddiv546 divide 5 20.0 -> 0.25 333 dddiv547 divide 2.400 2 -> 1.200 334 dddiv548 divide 2.400 2.0 -> 1.20 335 dddiv549 divide 2.400 2.400 -> 1 336 337 dddiv550 divide 240 1 -> 240 338 dddiv551 divide 240 10 -> 24 339 dddiv552 divide 240 100 -> 2.4 340 dddiv553 divide 240 1000 -> 0.24 341 dddiv554 divide 2400 1 -> 2400 342 dddiv555 divide 2400 10 -> 240 343 dddiv556 divide 2400 100 -> 24 344 dddiv557 divide 2400 1000 -> 2.4 345 346 -- +ve exponent 347 dddiv600 divide 2.4E+9 2 -> 1.2E+9 348 dddiv601 divide 2.40E+9 2 -> 1.20E+9 349 dddiv602 divide 2.400E+9 2 -> 1.200E+9 350 dddiv603 divide 2.4000E+9 2 -> 1.2000E+9 351 dddiv604 divide 24E+8 2 -> 1.2E+9 352 dddiv605 divide 240E+7 2 -> 1.20E+9 353 dddiv606 divide 2400E+6 2 -> 1.200E+9 354 dddiv607 divide 24000E+5 2 -> 1.2000E+9 355 356 -- more zeros, etc. 357 dddiv731 divide 5.00 1E-3 -> 5.00E+3 358 dddiv732 divide 00.00 0.000 -> NaN Division_undefined 359 dddiv733 divide 00.00 0E-3 -> NaN Division_undefined 360 dddiv734 divide 0 -0 -> NaN Division_undefined 361 dddiv735 divide -0 0 -> NaN Division_undefined 362 dddiv736 divide -0 -0 -> NaN Division_undefined 363 364 dddiv741 divide 0 -1 -> -0 365 dddiv742 divide -0 -1 -> 0 366 dddiv743 divide 0 1 -> 0 367 dddiv744 divide -0 1 -> -0 368 dddiv745 divide -1 0 -> -Infinity Division_by_zero 369 dddiv746 divide -1 -0 -> Infinity Division_by_zero 370 dddiv747 divide 1 0 -> Infinity Division_by_zero 371 dddiv748 divide 1 -0 -> -Infinity Division_by_zero 372 373 dddiv751 divide 0.0 -1 -> -0.0 374 dddiv752 divide -0.0 -1 -> 0.0 375 dddiv753 divide 0.0 1 -> 0.0 376 dddiv754 divide -0.0 1 -> -0.0 377 dddiv755 divide -1.0 0 -> -Infinity Division_by_zero 378 dddiv756 divide -1.0 -0 -> Infinity Division_by_zero 379 dddiv757 divide 1.0 0 -> Infinity Division_by_zero 380 dddiv758 divide 1.0 -0 -> -Infinity Division_by_zero 381 382 dddiv761 divide 0 -1.0 -> -0E+1 383 dddiv762 divide -0 -1.0 -> 0E+1 384 dddiv763 divide 0 1.0 -> 0E+1 385 dddiv764 divide -0 1.0 -> -0E+1 386 dddiv765 divide -1 0.0 -> -Infinity Division_by_zero 387 dddiv766 divide -1 -0.0 -> Infinity Division_by_zero 388 dddiv767 divide 1 0.0 -> Infinity Division_by_zero 389 dddiv768 divide 1 -0.0 -> -Infinity Division_by_zero 390 391 dddiv771 divide 0.0 -1.0 -> -0 392 dddiv772 divide -0.0 -1.0 -> 0 393 dddiv773 divide 0.0 1.0 -> 0 394 dddiv774 divide -0.0 1.0 -> -0 395 dddiv775 divide -1.0 0.0 -> -Infinity Division_by_zero 396 dddiv776 divide -1.0 -0.0 -> Infinity Division_by_zero 397 dddiv777 divide 1.0 0.0 -> Infinity Division_by_zero 398 dddiv778 divide 1.0 -0.0 -> -Infinity Division_by_zero 399 400 -- Specials 401 dddiv780 divide Inf -Inf -> NaN Invalid_operation 402 dddiv781 divide Inf -1000 -> -Infinity 403 dddiv782 divide Inf -1 -> -Infinity 404 dddiv783 divide Inf -0 -> -Infinity 405 dddiv784 divide Inf 0 -> Infinity 406 dddiv785 divide Inf 1 -> Infinity 407 dddiv786 divide Inf 1000 -> Infinity 408 dddiv787 divide Inf Inf -> NaN Invalid_operation 409 dddiv788 divide -1000 Inf -> -0E-398 Clamped 410 dddiv789 divide -Inf Inf -> NaN Invalid_operation 411 dddiv790 divide -1 Inf -> -0E-398 Clamped 412 dddiv791 divide -0 Inf -> -0E-398 Clamped 413 dddiv792 divide 0 Inf -> 0E-398 Clamped 414 dddiv793 divide 1 Inf -> 0E-398 Clamped 415 dddiv794 divide 1000 Inf -> 0E-398 Clamped 416 dddiv795 divide Inf Inf -> NaN Invalid_operation 417 418 dddiv800 divide -Inf -Inf -> NaN Invalid_operation 419 dddiv801 divide -Inf -1000 -> Infinity 420 dddiv802 divide -Inf -1 -> Infinity 421 dddiv803 divide -Inf -0 -> Infinity 422 dddiv804 divide -Inf 0 -> -Infinity 423 dddiv805 divide -Inf 1 -> -Infinity 424 dddiv806 divide -Inf 1000 -> -Infinity 425 dddiv807 divide -Inf Inf -> NaN Invalid_operation 426 dddiv808 divide -1000 Inf -> -0E-398 Clamped 427 dddiv809 divide -Inf -Inf -> NaN Invalid_operation 428 dddiv810 divide -1 -Inf -> 0E-398 Clamped 429 dddiv811 divide -0 -Inf -> 0E-398 Clamped 430 dddiv812 divide 0 -Inf -> -0E-398 Clamped 431 dddiv813 divide 1 -Inf -> -0E-398 Clamped 432 dddiv814 divide 1000 -Inf -> -0E-398 Clamped 433 dddiv815 divide Inf -Inf -> NaN Invalid_operation 434 435 dddiv821 divide NaN -Inf -> NaN 436 dddiv822 divide NaN -1000 -> NaN 437 dddiv823 divide NaN -1 -> NaN 438 dddiv824 divide NaN -0 -> NaN 439 dddiv825 divide NaN 0 -> NaN 440 dddiv826 divide NaN 1 -> NaN 441 dddiv827 divide NaN 1000 -> NaN 442 dddiv828 divide NaN Inf -> NaN 443 dddiv829 divide NaN NaN -> NaN 444 dddiv830 divide -Inf NaN -> NaN 445 dddiv831 divide -1000 NaN -> NaN 446 dddiv832 divide -1 NaN -> NaN 447 dddiv833 divide -0 NaN -> NaN 448 dddiv834 divide 0 NaN -> NaN 449 dddiv835 divide 1 NaN -> NaN 450 dddiv836 divide 1000 NaN -> NaN 451 dddiv837 divide Inf NaN -> NaN 452 453 dddiv841 divide sNaN -Inf -> NaN Invalid_operation 454 dddiv842 divide sNaN -1000 -> NaN Invalid_operation 455 dddiv843 divide sNaN -1 -> NaN Invalid_operation 456 dddiv844 divide sNaN -0 -> NaN Invalid_operation 457 dddiv845 divide sNaN 0 -> NaN Invalid_operation 458 dddiv846 divide sNaN 1 -> NaN Invalid_operation 459 dddiv847 divide sNaN 1000 -> NaN Invalid_operation 460 dddiv848 divide sNaN NaN -> NaN Invalid_operation 461 dddiv849 divide sNaN sNaN -> NaN Invalid_operation 462 dddiv850 divide NaN sNaN -> NaN Invalid_operation 463 dddiv851 divide -Inf sNaN -> NaN Invalid_operation 464 dddiv852 divide -1000 sNaN -> NaN Invalid_operation 465 dddiv853 divide -1 sNaN -> NaN Invalid_operation 466 dddiv854 divide -0 sNaN -> NaN Invalid_operation 467 dddiv855 divide 0 sNaN -> NaN Invalid_operation 468 dddiv856 divide 1 sNaN -> NaN Invalid_operation 469 dddiv857 divide 1000 sNaN -> NaN Invalid_operation 470 dddiv858 divide Inf sNaN -> NaN Invalid_operation 471 dddiv859 divide NaN sNaN -> NaN Invalid_operation 472 473 -- propagating NaNs 474 dddiv861 divide NaN9 -Inf -> NaN9 475 dddiv862 divide NaN8 1000 -> NaN8 476 dddiv863 divide NaN7 Inf -> NaN7 477 dddiv864 divide NaN6 NaN5 -> NaN6 478 dddiv865 divide -Inf NaN4 -> NaN4 479 dddiv866 divide -1000 NaN3 -> NaN3 480 dddiv867 divide Inf NaN2 -> NaN2 481 482 dddiv871 divide sNaN99 -Inf -> NaN99 Invalid_operation 483 dddiv872 divide sNaN98 -1 -> NaN98 Invalid_operation 484 dddiv873 divide sNaN97 NaN -> NaN97 Invalid_operation 485 dddiv874 divide sNaN96 sNaN94 -> NaN96 Invalid_operation 486 dddiv875 divide NaN95 sNaN93 -> NaN93 Invalid_operation 487 dddiv876 divide -Inf sNaN92 -> NaN92 Invalid_operation 488 dddiv877 divide 0 sNaN91 -> NaN91 Invalid_operation 489 dddiv878 divide Inf sNaN90 -> NaN90 Invalid_operation 490 dddiv879 divide NaN sNaN89 -> NaN89 Invalid_operation 491 492 dddiv881 divide -NaN9 -Inf -> -NaN9 493 dddiv882 divide -NaN8 1000 -> -NaN8 494 dddiv883 divide -NaN7 Inf -> -NaN7 495 dddiv884 divide -NaN6 -NaN5 -> -NaN6 496 dddiv885 divide -Inf -NaN4 -> -NaN4 497 dddiv886 divide -1000 -NaN3 -> -NaN3 498 dddiv887 divide Inf -NaN2 -> -NaN2 499 500 dddiv891 divide -sNaN99 -Inf -> -NaN99 Invalid_operation 501 dddiv892 divide -sNaN98 -1 -> -NaN98 Invalid_operation 502 dddiv893 divide -sNaN97 NaN -> -NaN97 Invalid_operation 503 dddiv894 divide -sNaN96 -sNaN94 -> -NaN96 Invalid_operation 504 dddiv895 divide -NaN95 -sNaN93 -> -NaN93 Invalid_operation 505 dddiv896 divide -Inf -sNaN92 -> -NaN92 Invalid_operation 506 dddiv897 divide 0 -sNaN91 -> -NaN91 Invalid_operation 507 dddiv898 divide Inf -sNaN90 -> -NaN90 Invalid_operation 508 dddiv899 divide -NaN -sNaN89 -> -NaN89 Invalid_operation 509 510 -- Various flavours of divide by 0 511 dddiv901 divide 0 0 -> NaN Division_undefined 512 dddiv902 divide 0.0E5 0 -> NaN Division_undefined 513 dddiv903 divide 0.000 0 -> NaN Division_undefined 514 dddiv904 divide 0.0001 0 -> Infinity Division_by_zero 515 dddiv905 divide 0.01 0 -> Infinity Division_by_zero 516 dddiv906 divide 0.1 0 -> Infinity Division_by_zero 517 dddiv907 divide 1 0 -> Infinity Division_by_zero 518 dddiv908 divide 1 0.0 -> Infinity Division_by_zero 519 dddiv909 divide 10 0.0 -> Infinity Division_by_zero 520 dddiv910 divide 1E+100 0.0 -> Infinity Division_by_zero 521 dddiv911 divide 1E+100 0 -> Infinity Division_by_zero 522 523 dddiv921 divide -0.0001 0 -> -Infinity Division_by_zero 524 dddiv922 divide -0.01 0 -> -Infinity Division_by_zero 525 dddiv923 divide -0.1 0 -> -Infinity Division_by_zero 526 dddiv924 divide -1 0 -> -Infinity Division_by_zero 527 dddiv925 divide -1 0.0 -> -Infinity Division_by_zero 528 dddiv926 divide -10 0.0 -> -Infinity Division_by_zero 529 dddiv927 divide -1E+100 0.0 -> -Infinity Division_by_zero 530 dddiv928 divide -1E+100 0 -> -Infinity Division_by_zero 531 532 dddiv931 divide 0.0001 -0 -> -Infinity Division_by_zero 533 dddiv932 divide 0.01 -0 -> -Infinity Division_by_zero 534 dddiv933 divide 0.1 -0 -> -Infinity Division_by_zero 535 dddiv934 divide 1 -0 -> -Infinity Division_by_zero 536 dddiv935 divide 1 -0.0 -> -Infinity Division_by_zero 537 dddiv936 divide 10 -0.0 -> -Infinity Division_by_zero 538 dddiv937 divide 1E+100 -0.0 -> -Infinity Division_by_zero 539 dddiv938 divide 1E+100 -0 -> -Infinity Division_by_zero 540 541 dddiv941 divide -0.0001 -0 -> Infinity Division_by_zero 542 dddiv942 divide -0.01 -0 -> Infinity Division_by_zero 543 dddiv943 divide -0.1 -0 -> Infinity Division_by_zero 544 dddiv944 divide -1 -0 -> Infinity Division_by_zero 545 dddiv945 divide -1 -0.0 -> Infinity Division_by_zero 546 dddiv946 divide -10 -0.0 -> Infinity Division_by_zero 547 dddiv947 divide -1E+100 -0.0 -> Infinity Division_by_zero 548 dddiv948 divide -1E+100 -0 -> Infinity Division_by_zero 549 550 -- Examples from SQL proposal (Krishna Kulkarni) 551 dddiv1021 divide 1E0 1E0 -> 1 552 dddiv1022 divide 1E0 2E0 -> 0.5 553 dddiv1023 divide 1E0 3E0 -> 0.3333333333333333 Inexact Rounded 554 dddiv1024 divide 100E-2 1000E-3 -> 1 555 dddiv1025 divide 24E-1 2E0 -> 1.2 556 dddiv1026 divide 2400E-3 2E0 -> 1.200 557 dddiv1027 divide 5E0 2E0 -> 2.5 558 dddiv1028 divide 5E0 20E-1 -> 2.5 559 dddiv1029 divide 5E0 2000E-3 -> 2.5 560 dddiv1030 divide 5E0 2E-1 -> 25 561 dddiv1031 divide 5E0 20E-2 -> 25 562 dddiv1032 divide 480E-2 3E0 -> 1.60 563 dddiv1033 divide 47E-1 2E0 -> 2.35 564 565 -- ECMAScript bad examples 566 rounding: half_down 567 dddiv1040 divide 5 9 -> 0.5555555555555556 Inexact Rounded 568 rounding: half_even 569 dddiv1041 divide 6 11 -> 0.5454545454545455 Inexact Rounded 570 571 -- overflow and underflow tests .. note subnormal results 572 -- signs 573 dddiv1051 divide 1e+277 1e-311 -> Infinity Overflow Inexact Rounded 574 dddiv1052 divide 1e+277 -1e-311 -> -Infinity Overflow Inexact Rounded 575 dddiv1053 divide -1e+277 1e-311 -> -Infinity Overflow Inexact Rounded 576 dddiv1054 divide -1e+277 -1e-311 -> Infinity Overflow Inexact Rounded 577 dddiv1055 divide 1e-277 1e+311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 578 dddiv1056 divide 1e-277 -1e+311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 579 dddiv1057 divide -1e-277 1e+311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 580 dddiv1058 divide -1e-277 -1e+311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 581 582 -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) 583 dddiv1060 divide 1e-291 1e+101 -> 1E-392 Subnormal 584 dddiv1061 divide 1e-291 1e+102 -> 1E-393 Subnormal 585 dddiv1062 divide 1e-291 1e+103 -> 1E-394 Subnormal 586 dddiv1063 divide 1e-291 1e+104 -> 1E-395 Subnormal 587 dddiv1064 divide 1e-291 1e+105 -> 1E-396 Subnormal 588 dddiv1065 divide 1e-291 1e+106 -> 1E-397 Subnormal 589 dddiv1066 divide 1e-291 1e+107 -> 1E-398 Subnormal 590 dddiv1067 divide 1e-291 1e+108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 591 dddiv1068 divide 1e-291 1e+109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 592 dddiv1069 divide 1e-291 1e+110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 593 -- [no equivalent of 'subnormal' for overflow] 594 dddiv1070 divide 1e+60 1e-321 -> 1.000000000000E+381 Clamped 595 dddiv1071 divide 1e+60 1e-322 -> 1.0000000000000E+382 Clamped 596 dddiv1072 divide 1e+60 1e-323 -> 1.00000000000000E+383 Clamped 597 dddiv1073 divide 1e+60 1e-324 -> 1.000000000000000E+384 Clamped 598 dddiv1074 divide 1e+60 1e-325 -> Infinity Overflow Inexact Rounded 599 dddiv1075 divide 1e+60 1e-326 -> Infinity Overflow Inexact Rounded 600 dddiv1076 divide 1e+60 1e-327 -> Infinity Overflow Inexact Rounded 601 dddiv1077 divide 1e+60 1e-328 -> Infinity Overflow Inexact Rounded 602 dddiv1078 divide 1e+60 1e-329 -> Infinity Overflow Inexact Rounded 603 dddiv1079 divide 1e+60 1e-330 -> Infinity Overflow Inexact Rounded 604 605 dddiv1101 divide 1.0000E-394 1 -> 1.0000E-394 Subnormal 606 dddiv1102 divide 1.000E-394 1e+1 -> 1.000E-395 Subnormal 607 dddiv1103 divide 1.00E-394 1e+2 -> 1.00E-396 Subnormal 608 dddiv1104 divide 1.0E-394 1e+3 -> 1.0E-397 Subnormal 609 dddiv1105 divide 1.0E-394 1e+4 -> 1E-398 Subnormal Rounded 610 dddiv1106 divide 1.3E-394 1e+4 -> 1E-398 Underflow Subnormal Inexact Rounded 611 dddiv1107 divide 1.5E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 612 dddiv1108 divide 1.7E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 613 dddiv1109 divide 2.3E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 614 dddiv1110 divide 2.5E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 615 dddiv1111 divide 2.7E-394 1e+4 -> 3E-398 Underflow Subnormal Inexact Rounded 616 dddiv1112 divide 1.49E-394 1e+4 -> 1E-398 Underflow Subnormal Inexact Rounded 617 dddiv1113 divide 1.50E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 618 dddiv1114 divide 1.51E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 619 dddiv1115 divide 2.49E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 620 dddiv1116 divide 2.50E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded 621 dddiv1117 divide 2.51E-394 1e+4 -> 3E-398 Underflow Subnormal Inexact Rounded 622 623 dddiv1118 divide 1E-394 1e+4 -> 1E-398 Subnormal 624 dddiv1119 divide 3E-394 1e+5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 625 dddiv1120 divide 5E-394 1e+5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 626 dddiv1121 divide 7E-394 1e+5 -> 1E-398 Underflow Subnormal Inexact Rounded 627 dddiv1122 divide 9E-394 1e+5 -> 1E-398 Underflow Subnormal Inexact Rounded 628 dddiv1123 divide 9.9E-394 1e+5 -> 1E-398 Underflow Subnormal Inexact Rounded 629 630 dddiv1124 divide 1E-394 -1e+4 -> -1E-398 Subnormal 631 dddiv1125 divide 3E-394 -1e+5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 632 dddiv1126 divide -5E-394 1e+5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 633 dddiv1127 divide 7E-394 -1e+5 -> -1E-398 Underflow Subnormal Inexact Rounded 634 dddiv1128 divide -9E-394 1e+5 -> -1E-398 Underflow Subnormal Inexact Rounded 635 dddiv1129 divide 9.9E-394 -1e+5 -> -1E-398 Underflow Subnormal Inexact Rounded 636 dddiv1130 divide 3.0E-394 -1e+5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 637 638 dddiv1131 divide 1.0E-199 1e+200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 639 dddiv1132 divide 1.0E-199 1e+199 -> 1E-398 Subnormal Rounded 640 dddiv1133 divide 1.0E-199 1e+198 -> 1.0E-397 Subnormal 641 dddiv1134 divide 2.0E-199 2e+198 -> 1.0E-397 Subnormal 642 dddiv1135 divide 4.0E-199 4e+198 -> 1.0E-397 Subnormal 643 dddiv1136 divide 10.0E-199 10e+198 -> 1.0E-397 Subnormal 644 dddiv1137 divide 30.0E-199 30e+198 -> 1.0E-397 Subnormal 645 646 -- randoms 647 dddiv2010 divide -3.303226714900711E-35 8.796578842713183E+73 -> -3.755126594058783E-109 Inexact Rounded 648 dddiv2011 divide 933153327821073.6 68782181090246.25 -> 13.56678885475763 Inexact Rounded 649 dddiv2012 divide 5.04752436057906E-72 -8.179481771238642E+64 -> -6.170958627632835E-137 Inexact Rounded 650 dddiv2013 divide -3707613309582318 3394911196503.048 -> -1092.109070010836 Inexact Rounded 651 dddiv2014 divide 99689.0555190461 -4.735208553891464 -> -21052.72753765411 Inexact Rounded 652 dddiv2015 divide -1447915775613329 269750797.8184875 -> -5367605.164925653 Inexact Rounded 653 dddiv2016 divide -9.394881304225258E-19 -830585.0252671636 -> 1.131116143251358E-24 Inexact Rounded 654 dddiv2017 divide -1.056283432738934 88.58754555124013 -> -0.01192361100159352 Inexact Rounded 655 dddiv2018 divide 5763220933343.081 689089567025052.1 -> 0.008363529516524456 Inexact Rounded 656 dddiv2019 divide 873819.122103216 9.740612494523300E-49 -> 8.970884763093948E+53 Inexact Rounded 657 dddiv2020 divide 8022914.838533576 6178.566801742713 -> 1298.507420243583 Inexact Rounded 658 dddiv2021 divide 203982.7605650363 -2158.283639053435 -> -94.51156320422168 Inexact Rounded 659 dddiv2022 divide 803.6310547013030 7101143795399.238 -> 1.131692411611166E-10 Inexact Rounded 660 dddiv2023 divide 9.251697842123399E-82 -1.342350220606119E-7 -> -6.892163982321936E-75 Inexact Rounded 661 dddiv2024 divide -1.980600645637992E-53 -5.474262753214457E+77 -> 3.618022617703168E-131 Inexact Rounded 662 dddiv2025 divide -210.0322996351690 -8.580951835872843E+80 -> 2.447657365434971E-79 Inexact Rounded 663 dddiv2026 divide -1.821980314020370E+85 -3.018915267138165 -> 6.035215144503042E+84 Inexact Rounded 664 dddiv2027 divide -772264503601.1047 5.158258271408988E-86 -> -1.497141986630614E+97 Inexact Rounded 665 dddiv2028 divide -767.0532415847106 2.700027228028939E-59 -> -2.840909282772941E+61 Inexact Rounded 666 dddiv2029 divide 496724.8548250093 7.32700588163100E+66 -> 6.779370220929013E-62 Inexact Rounded 667 dddiv2030 divide -304232651447703.9 -108.9730808657440 -> 2791814721862.565 Inexact Rounded 668 dddiv2031 divide -7.233817192699405E+42 -5711302004.149411 -> 1.266579352211430E+33 Inexact Rounded 669 dddiv2032 divide -9.999221444912745E+96 4010569406446197 -> -2.493217404202250E+81 Inexact Rounded 670 dddiv2033 divide -1837272.061937622 8.356322838066762 -> -219866.0939196882 Inexact Rounded 671 dddiv2034 divide 2168.517555606529 209.1910258615061 -> 10.36620737756784 Inexact Rounded 672 dddiv2035 divide -1.884389790576371E+88 2.95181953870583E+20 -> -6.383824505079828E+67 Inexact Rounded 673 dddiv2036 divide 732263.6037438196 961222.3634446889 -> 0.7618045850698269 Inexact Rounded 674 dddiv2037 divide -813461419.0348336 5.376293753809143E+84 -> -1.513052404285927E-76 Inexact Rounded 675 dddiv2038 divide -45562133508108.50 -9.776843494690107E+51 -> 4.660208945029519E-39 Inexact Rounded 676 dddiv2039 divide -6.489393172441016E+80 -9101965.097852113 -> 7.129661674897421E+73 Inexact Rounded 677 dddiv2040 divide 3.694576237117349E+93 6683512.012622003 -> 5.527896456443912E+86 Inexact Rounded 678 dddiv2041 divide -2.252877726403272E+19 -7451913256.181367 -> 3023220546.125531 Inexact Rounded 679 dddiv2042 divide 518303.1989111842 50.01587020474133 -> 10362.77479107123 Inexact Rounded 680 dddiv2043 divide 2.902087881880103E+24 33.32400992305702 -> 8.708699488989578E+22 Inexact Rounded 681 dddiv2044 divide 549619.4559510557 1660824845196338 -> 3.309316196351104E-10 Inexact Rounded 682 dddiv2045 divide -6775670774684043 8292152023.077262 -> -817118.4941891062 Inexact Rounded 683 dddiv2046 divide -77.50923921524079 -5.636882655425815E+74 -> 1.375037302588405E-73 Inexact Rounded 684 dddiv2047 divide -2.984889459605149E-10 -88106156784122.99 -> 3.387833005721384E-24 Inexact Rounded 685 dddiv2048 divide 0.949517293997085 44767115.96450998 -> 2.121015110175589E-8 Inexact Rounded 686 dddiv2049 divide -2760937211.084521 -1087015876975408 -> 0.000002539923537057024 Inexact Rounded 687 dddiv2050 divide 28438351.85030536 -4.209397904088624E-47 -> -6.755919135770688E+53 Inexact Rounded 688 dddiv2051 divide -85562731.6820956 -7.166045442530185E+45 -> 1.194002080621542E-38 Inexact Rounded 689 dddiv2052 divide 2533802852165.25 7154.119606235955 -> 354173957.3317501 Inexact Rounded 690 dddiv2053 divide -8858831346851.474 97.59734208801716 -> -90769186509.83577 Inexact Rounded 691 dddiv2054 divide 176783629801387.5 840073263.3109817 -> 210438.3480848206 Inexact Rounded 692 dddiv2055 divide -493506471796175.6 79733894790822.03 -> -6.189418854940746 Inexact Rounded 693 dddiv2056 divide 790.1682542103445 829.9449370367435 -> 0.9520731062371214 Inexact Rounded 694 dddiv2057 divide -8920459838.583164 -4767.889187899214 -> 1870945.294035581 Inexact Rounded 695 dddiv2058 divide 53536687164422.1 53137.5007032689 -> 1007512330.385698 Inexact Rounded 696 dddiv2059 divide 4.051532311146561E-74 -2.343089768972261E+94 -> -1.729140882606332E-168 Inexact Rounded 697 dddiv2060 divide -14847758778636.88 3.062543516383807E-43 -> -4.848178874587497E+55 Inexact Rounded 698 699 -- Division probably has pre-rounding, so need to test rounding 700 -- explicitly rather than assume included through other tests; 701 -- tests include simple rounding and also the tricky cases of sticky 702 -- bits following two zeros 703 -- 704 -- 1/99999 gives 0.0000100001000010000100001000010000100001 705 -- 1234567890123456 706 -- 707 -- 1/999999 gives 0.000001000001000001000001000001000001000001 708 -- 1234567890123456 709 710 rounding: ceiling 711 dddiv3001 divide 1 3 -> 0.3333333333333334 Inexact Rounded 712 dddiv3002 divide 2 3 -> 0.6666666666666667 Inexact Rounded 713 dddiv3003 divide 1 99999 -> 0.00001000010000100002 Inexact Rounded 714 dddiv3004 divide 1 999999 -> 0.000001000001000001001 Inexact Rounded 715 716 rounding: floor 717 dddiv3011 divide 1 3 -> 0.3333333333333333 Inexact Rounded 718 dddiv3012 divide 2 3 -> 0.6666666666666666 Inexact Rounded 719 dddiv3013 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded 720 dddiv3014 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded 721 722 rounding: up 723 dddiv3021 divide 1 3 -> 0.3333333333333334 Inexact Rounded 724 dddiv3022 divide 2 3 -> 0.6666666666666667 Inexact Rounded 725 dddiv3023 divide 1 99999 -> 0.00001000010000100002 Inexact Rounded 726 dddiv3024 divide 1 999999 -> 0.000001000001000001001 Inexact Rounded 727 728 rounding: down 729 dddiv3031 divide 1 3 -> 0.3333333333333333 Inexact Rounded 730 dddiv3032 divide 2 3 -> 0.6666666666666666 Inexact Rounded 731 dddiv3033 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded 732 dddiv3034 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded 733 734 rounding: half_up 735 dddiv3041 divide 1 3 -> 0.3333333333333333 Inexact Rounded 736 dddiv3042 divide 2 3 -> 0.6666666666666667 Inexact Rounded 737 dddiv3043 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded 738 dddiv3044 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded 739 740 rounding: half_down 741 dddiv3051 divide 1 3 -> 0.3333333333333333 Inexact Rounded 742 dddiv3052 divide 2 3 -> 0.6666666666666667 Inexact Rounded 743 dddiv3053 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded 744 dddiv3054 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded 745 746 rounding: half_even 747 dddiv3061 divide 1 3 -> 0.3333333333333333 Inexact Rounded 748 dddiv3062 divide 2 3 -> 0.6666666666666667 Inexact Rounded 749 dddiv3063 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded 750 dddiv3064 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded 751 752 rounding: 05up 753 dddiv3071 divide 1 3 -> 0.3333333333333333 Inexact Rounded 754 dddiv3072 divide 2 3 -> 0.6666666666666666 Inexact Rounded 755 dddiv3073 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded 756 dddiv3074 divide 1 999999 -> 0.000001000001000001001 Inexact Rounded 757 758 -- random divide tests with result near 1 759 rounding: half_even 760 dddiv4001 divide 3195385192916917 3195385192946695 -> 0.9999999999906809 Inexact Rounded 761 dddiv4002 divide 1393723067526993 1393723067519475 -> 1.000000000005394 Inexact Rounded 762 dddiv4003 divide 759985543702302 759985543674015 -> 1.000000000037220 Inexact Rounded 763 dddiv4004 divide 9579158456027302 9579158456036864 -> 0.9999999999990018 Inexact Rounded 764 dddiv4005 divide 7079398299143569 7079398299156904 -> 0.9999999999981164 Inexact Rounded 765 dddiv4006 divide 6636169255366598 6636169255336386 -> 1.000000000004553 Inexact Rounded 766 dddiv4007 divide 6964813971340090 6964813971321554 -> 1.000000000002661 Inexact Rounded 767 dddiv4008 divide 4182275225480784 4182275225454009 -> 1.000000000006402 Inexact Rounded 768 dddiv4009 divide 9228325124938029 9228325124918730 -> 1.000000000002091 Inexact Rounded 769 dddiv4010 divide 3428346338630192 3428346338609843 -> 1.000000000005936 Inexact Rounded 770 dddiv4011 divide 2143511550722893 2143511550751754 -> 0.9999999999865356 Inexact Rounded 771 dddiv4012 divide 1672732924396785 1672732924401811 -> 0.9999999999969953 Inexact Rounded 772 dddiv4013 divide 4190714611948216 4190714611948664 -> 0.9999999999998931 Inexact Rounded 773 dddiv4014 divide 3942254800848877 3942254800814556 -> 1.000000000008706 Inexact Rounded 774 dddiv4015 divide 2854459826952334 2854459826960762 -> 0.9999999999970474 Inexact Rounded 775 dddiv4016 divide 2853258953664731 2853258953684471 -> 0.9999999999930816 Inexact Rounded 776 dddiv4017 divide 9453512638125978 9453512638146425 -> 0.9999999999978371 Inexact Rounded 777 dddiv4018 divide 339476633940369 339476633912887 -> 1.000000000080954 Inexact Rounded 778 dddiv4019 divide 4542181492688467 4542181492697735 -> 0.9999999999979596 Inexact Rounded 779 dddiv4020 divide 7312600192399197 7312600192395424 -> 1.000000000000516 Inexact Rounded 780 dddiv4021 divide 1811674985570111 1811674985603935 -> 0.9999999999813300 Inexact Rounded 781 dddiv4022 divide 1706462639003481 1706462639017740 -> 0.9999999999916441 Inexact Rounded 782 dddiv4023 divide 6697052654940368 6697052654934110 -> 1.000000000000934 Inexact Rounded 783 dddiv4024 divide 5015283664277539 5015283664310719 -> 0.9999999999933842 Inexact Rounded 784 dddiv4025 divide 2359501561537464 2359501561502464 -> 1.000000000014834 Inexact Rounded 785 dddiv4026 divide 2669850227909157 2669850227901548 -> 1.000000000002850 Inexact Rounded 786 dddiv4027 divide 9329725546974648 9329725547002445 -> 0.9999999999970206 Inexact Rounded 787 dddiv4028 divide 3228562867071248 3228562867106206 -> 0.9999999999891723 Inexact Rounded 788 dddiv4029 divide 4862226644921175 4862226644909380 -> 1.000000000002426 Inexact Rounded 789 dddiv4030 divide 1022267997054529 1022267997071329 -> 0.9999999999835660 Inexact Rounded 790 dddiv4031 divide 1048777482023719 1048777482000948 -> 1.000000000021712 Inexact Rounded 791 dddiv4032 divide 9980113777337098 9980113777330539 -> 1.000000000000657 Inexact Rounded 792 dddiv4033 divide 7506839167963908 7506839167942901 -> 1.000000000002798 Inexact Rounded 793 dddiv4034 divide 231119751977860 231119751962453 -> 1.000000000066662 Inexact Rounded 794 dddiv4035 divide 4034903664762962 4034903664795526 -> 0.9999999999919294 Inexact Rounded 795 dddiv4036 divide 5700122152274696 5700122152251386 -> 1.000000000004089 Inexact Rounded 796 dddiv4037 divide 6869599590293110 6869599590293495 -> 0.9999999999999440 Inexact Rounded 797 dddiv4038 divide 5576281960092797 5576281960105579 -> 0.9999999999977078 Inexact Rounded 798 dddiv4039 divide 2304844888381318 2304844888353073 -> 1.000000000012255 Inexact Rounded 799 dddiv4040 divide 3265933651656452 3265933651682779 -> 0.9999999999919389 Inexact Rounded 800 dddiv4041 divide 5235714985079914 5235714985066131 -> 1.000000000002632 Inexact Rounded 801 dddiv4042 divide 5578481572827551 5578481572822945 -> 1.000000000000826 Inexact Rounded 802 dddiv4043 divide 4909616081396134 4909616081373076 -> 1.000000000004696 Inexact Rounded 803 dddiv4044 divide 636447224349537 636447224338757 -> 1.000000000016938 Inexact Rounded 804 dddiv4045 divide 1539373428396640 1539373428364727 -> 1.000000000020731 Inexact Rounded 805 dddiv4046 divide 2028786707377893 2028786707378866 -> 0.9999999999995204 Inexact Rounded 806 dddiv4047 divide 137643260486222 137643260487419 -> 0.9999999999913036 Inexact Rounded 807 dddiv4048 divide 247451519746765 247451519752267 -> 0.9999999999777653 Inexact Rounded 808 dddiv4049 divide 7877858475022054 7877858474999794 -> 1.000000000002826 Inexact Rounded 809 dddiv4050 divide 7333242694766258 7333242694744628 -> 1.000000000002950 Inexact Rounded 810 dddiv4051 divide 124051503698592 124051503699397 -> 0.9999999999935108 Inexact Rounded 811 dddiv4052 divide 8944737432385188 8944737432406860 -> 0.9999999999975771 Inexact Rounded 812 dddiv4053 divide 9883948923406874 9883948923424843 -> 0.9999999999981820 Inexact Rounded 813 dddiv4054 divide 6829178741654284 6829178741671973 -> 0.9999999999974098 Inexact Rounded 814 dddiv4055 divide 7342752479768122 7342752479793385 -> 0.9999999999965595 Inexact Rounded 815 dddiv4056 divide 8066426579008783 8066426578977563 -> 1.000000000003870 Inexact Rounded 816 dddiv4057 divide 8992775071383295 8992775071352712 -> 1.000000000003401 Inexact Rounded 817 dddiv4058 divide 5485011755545641 5485011755543611 -> 1.000000000000370 Inexact Rounded 818 dddiv4059 divide 5779983054353918 5779983054365300 -> 0.9999999999980308 Inexact Rounded 819 dddiv4060 divide 9502265102713774 9502265102735208 -> 0.9999999999977443 Inexact Rounded 820 dddiv4061 divide 2109558399130981 2109558399116281 -> 1.000000000006968 Inexact Rounded 821 dddiv4062 divide 5296182636350471 5296182636351521 -> 0.9999999999998017 Inexact Rounded 822 dddiv4063 divide 1440019225591883 1440019225601844 -> 0.9999999999930827 Inexact Rounded 823 dddiv4064 divide 8182110791881341 8182110791847174 -> 1.000000000004176 Inexact Rounded 824 dddiv4065 divide 489098235512060 489098235534516 -> 0.9999999999540869 Inexact Rounded 825 dddiv4066 divide 6475687084782038 6475687084756089 -> 1.000000000004007 Inexact Rounded 826 dddiv4067 divide 8094348555736948 8094348555759236 -> 0.9999999999972465 Inexact Rounded 827 dddiv4068 divide 1982766816291543 1982766816309463 -> 0.9999999999909621 Inexact Rounded 828 dddiv4069 divide 9277314300113251 9277314300084467 -> 1.000000000003103 Inexact Rounded 829 dddiv4070 divide 4335532959318934 4335532959293167 -> 1.000000000005943 Inexact Rounded 830 dddiv4071 divide 7767113032981348 7767113032968132 -> 1.000000000001702 Inexact Rounded 831 dddiv4072 divide 1578548053342868 1578548053370448 -> 0.9999999999825282 Inexact Rounded 832 dddiv4073 divide 3790420686666898 3790420686636315 -> 1.000000000008068 Inexact Rounded 833 dddiv4074 divide 871682421955147 871682421976441 -> 0.9999999999755714 Inexact Rounded 834 dddiv4075 divide 744141054479940 744141054512329 -> 0.9999999999564746 Inexact Rounded 835 dddiv4076 divide 8956824183670735 8956824183641741 -> 1.000000000003237 Inexact Rounded 836 dddiv4077 divide 8337291694485682 8337291694451193 -> 1.000000000004137 Inexact Rounded 837 dddiv4078 divide 4107775944683669 4107775944657097 -> 1.000000000006469 Inexact Rounded 838 dddiv4079 divide 8691900057964648 8691900057997555 -> 0.9999999999962141 Inexact Rounded 839 dddiv4080 divide 2229528520536462 2229528520502337 -> 1.000000000015306 Inexact Rounded 840 dddiv4081 divide 398442083774322 398442083746273 -> 1.000000000070397 Inexact Rounded 841 dddiv4082 divide 5319819776808759 5319819776838313 -> 0.9999999999944445 Inexact Rounded 842 dddiv4083 divide 7710491299066855 7710491299041858 -> 1.000000000003242 Inexact Rounded 843 dddiv4084 divide 9083231296087266 9083231296058160 -> 1.000000000003204 Inexact Rounded 844 dddiv4085 divide 3566873574904559 3566873574890328 -> 1.000000000003990 Inexact Rounded 845 dddiv4086 divide 596343290550525 596343290555614 -> 0.9999999999914663 Inexact Rounded 846 dddiv4087 divide 278227925093192 278227925068104 -> 1.000000000090171 Inexact Rounded 847 dddiv4088 divide 3292902958490649 3292902958519881 -> 0.9999999999911227 Inexact Rounded 848 dddiv4089 divide 5521871364245881 5521871364229536 -> 1.000000000002960 Inexact Rounded 849 dddiv4090 divide 2406505602883617 2406505602857997 -> 1.000000000010646 Inexact Rounded 850 dddiv4091 divide 7741146984869208 7741146984867255 -> 1.000000000000252 Inexact Rounded 851 dddiv4092 divide 4576041832414909 4576041832405102 -> 1.000000000002143 Inexact Rounded 852 dddiv4093 divide 9183756982878057 9183756982901934 -> 0.9999999999974001 Inexact Rounded 853 dddiv4094 divide 6215736513855159 6215736513870342 -> 0.9999999999975573 Inexact Rounded 854 dddiv4095 divide 248554968534533 248554968551417 -> 0.9999999999320714 Inexact Rounded 855 dddiv4096 divide 376314165668645 376314165659755 -> 1.000000000023624 Inexact Rounded 856 dddiv4097 divide 5513569249809718 5513569249808906 -> 1.000000000000147 Inexact Rounded 857 dddiv4098 divide 3367992242167904 3367992242156228 -> 1.000000000003467 Inexact Rounded 858 dddiv4099 divide 6134869538966967 6134869538985986 -> 0.9999999999968999 Inexact Rounded 859 860 -- Null tests 861 dddiv9998 divide 10 # -> NaN Invalid_operation 862 dddiv9999 divide # 10 -> NaN Invalid_operation 863 864
