1------------------------------------------------------------------------ 2-- divide.decTest -- decimal division -- 3-- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. -- 4-- Parts copyright (c) IBM Corporation, 1981, 2008. -- 5------------------------------------------------------------------------ 6-- Please see the document "General Decimal Arithmetic Testcases" -- 7-- at http://speleotrove.com/decimal for the description of -- 8-- these testcases. -- 9-- -- 10-- These testcases are experimental ('beta' versions), and they -- 11-- may contain errors. They are offered on an as-is basis. In -- 12-- particular, achieving the same results as the tests here is not -- 13-- a guarantee that an implementation complies with any Standard -- 14-- or specification. The tests are not exhaustive. -- 15-- -- 16-- Please send comments, suggestions, and corrections to the author: -- 17-- Mike Cowlishaw, mfc@speleotrove.com -- 18------------------------------------------------------------------------ 19version: 2.62 20 21extended: 1 22precision: 9 23rounding: half_up 24maxExponent: 384 25minexponent: -383 26 27-- sanity checks 28divx001 divide 1 1 -> 1 29divx002 divide 2 1 -> 2 30divx003 divide 1 2 -> 0.5 31divx004 divide 2 2 -> 1 32divx005 divide 0 1 -> 0 33divx006 divide 0 2 -> 0 34divx007 divide 1 3 -> 0.333333333 Inexact Rounded 35divx008 divide 2 3 -> 0.666666667 Inexact Rounded 36divx009 divide 3 3 -> 1 37 38divx010 divide 2.4 1 -> 2.4 39divx011 divide 2.4 -1 -> -2.4 40divx012 divide -2.4 1 -> -2.4 41divx013 divide -2.4 -1 -> 2.4 42divx014 divide 2.40 1 -> 2.40 43divx015 divide 2.400 1 -> 2.400 44divx016 divide 2.4 2 -> 1.2 45divx017 divide 2.400 2 -> 1.200 46divx018 divide 2. 2 -> 1 47divx019 divide 20 20 -> 1 48 49divx020 divide 187 187 -> 1 50divx021 divide 5 2 -> 2.5 51divx022 divide 50 20 -> 2.5 52divx023 divide 500 200 -> 2.5 53divx024 divide 50.0 20.0 -> 2.5 54divx025 divide 5.00 2.00 -> 2.5 55divx026 divide 5 2.0 -> 2.5 56divx027 divide 5 2.000 -> 2.5 57divx028 divide 5 0.20 -> 25 58divx029 divide 5 0.200 -> 25 59divx030 divide 10 1 -> 10 60divx031 divide 100 1 -> 100 61divx032 divide 1000 1 -> 1000 62divx033 divide 1000 100 -> 10 63 64divx035 divide 1 2 -> 0.5 65divx036 divide 1 4 -> 0.25 66divx037 divide 1 8 -> 0.125 67divx038 divide 1 16 -> 0.0625 68divx039 divide 1 32 -> 0.03125 69divx040 divide 1 64 -> 0.015625 70divx041 divide 1 -2 -> -0.5 71divx042 divide 1 -4 -> -0.25 72divx043 divide 1 -8 -> -0.125 73divx044 divide 1 -16 -> -0.0625 74divx045 divide 1 -32 -> -0.03125 75divx046 divide 1 -64 -> -0.015625 76divx047 divide -1 2 -> -0.5 77divx048 divide -1 4 -> -0.25 78divx049 divide -1 8 -> -0.125 79divx050 divide -1 16 -> -0.0625 80divx051 divide -1 32 -> -0.03125 81divx052 divide -1 64 -> -0.015625 82divx053 divide -1 -2 -> 0.5 83divx054 divide -1 -4 -> 0.25 84divx055 divide -1 -8 -> 0.125 85divx056 divide -1 -16 -> 0.0625 86divx057 divide -1 -32 -> 0.03125 87divx058 divide -1 -64 -> 0.015625 88 89divx070 divide 999999999 1 -> 999999999 90divx071 divide 999999999.4 1 -> 999999999 Inexact Rounded 91divx072 divide 999999999.5 1 -> 1.00000000E+9 Inexact Rounded 92divx073 divide 999999999.9 1 -> 1.00000000E+9 Inexact Rounded 93divx074 divide 999999999.999 1 -> 1.00000000E+9 Inexact Rounded 94precision: 6 95divx080 divide 999999999 1 -> 1.00000E+9 Inexact Rounded 96divx081 divide 99999999 1 -> 1.00000E+8 Inexact Rounded 97divx082 divide 9999999 1 -> 1.00000E+7 Inexact Rounded 98divx083 divide 999999 1 -> 999999 99divx084 divide 99999 1 -> 99999 100divx085 divide 9999 1 -> 9999 101divx086 divide 999 1 -> 999 102divx087 divide 99 1 -> 99 103divx088 divide 9 1 -> 9 104 105precision: 9 106divx090 divide 0. 1 -> 0 107divx091 divide .0 1 -> 0.0 108divx092 divide 0.00 1 -> 0.00 109divx093 divide 0.00E+9 1 -> 0E+7 110divx094 divide 0.0000E-50 1 -> 0E-54 111 112divx095 divide 1 1E-8 -> 1E+8 113divx096 divide 1 1E-9 -> 1E+9 114divx097 divide 1 1E-10 -> 1E+10 115divx098 divide 1 1E-11 -> 1E+11 116divx099 divide 1 1E-12 -> 1E+12 117 118divx100 divide 1 1 -> 1 119divx101 divide 1 2 -> 0.5 120divx102 divide 1 3 -> 0.333333333 Inexact Rounded 121divx103 divide 1 4 -> 0.25 122divx104 divide 1 5 -> 0.2 123divx105 divide 1 6 -> 0.166666667 Inexact Rounded 124divx106 divide 1 7 -> 0.142857143 Inexact Rounded 125divx107 divide 1 8 -> 0.125 126divx108 divide 1 9 -> 0.111111111 Inexact Rounded 127divx109 divide 1 10 -> 0.1 128divx110 divide 1 1 -> 1 129divx111 divide 2 1 -> 2 130divx112 divide 3 1 -> 3 131divx113 divide 4 1 -> 4 132divx114 divide 5 1 -> 5 133divx115 divide 6 1 -> 6 134divx116 divide 7 1 -> 7 135divx117 divide 8 1 -> 8 136divx118 divide 9 1 -> 9 137divx119 divide 10 1 -> 10 138 139divx120 divide 3E+1 0.001 -> 3E+4 140divx121 divide 2.200 2 -> 1.100 141 142divx130 divide 12345 4.999 -> 2469.49390 Inexact Rounded 143divx131 divide 12345 4.99 -> 2473.94790 Inexact Rounded 144divx132 divide 12345 4.9 -> 2519.38776 Inexact Rounded 145divx133 divide 12345 5 -> 2469 146divx134 divide 12345 5.1 -> 2420.58824 Inexact Rounded 147divx135 divide 12345 5.01 -> 2464.07186 Inexact Rounded 148divx136 divide 12345 5.001 -> 2468.50630 Inexact Rounded 149 150precision: 9 151maxexponent: 999999999 152minexponent: -999999999 153 154-- test possibly imprecise results 155divx220 divide 391 597 -> 0.654941374 Inexact Rounded 156divx221 divide 391 -597 -> -0.654941374 Inexact Rounded 157divx222 divide -391 597 -> -0.654941374 Inexact Rounded 158divx223 divide -391 -597 -> 0.654941374 Inexact Rounded 159 160-- test some cases that are close to exponent overflow 161maxexponent: 999999999 162minexponent: -999999999 163divx270 divide 1 1e999999999 -> 1E-999999999 164divx271 divide 1 0.9e999999999 -> 1.11111111E-999999999 Inexact Rounded 165divx272 divide 1 0.99e999999999 -> 1.01010101E-999999999 Inexact Rounded 166divx273 divide 1 0.999999999e999999999 -> 1.00000000E-999999999 Inexact Rounded 167divx274 divide 9e999999999 1 -> 9E+999999999 168divx275 divide 9.9e999999999 1 -> 9.9E+999999999 169divx276 divide 9.99e999999999 1 -> 9.99E+999999999 170divx277 divide 9.99999999e999999999 1 -> 9.99999999E+999999999 171 172divx280 divide 0.1 9e-999999999 -> 1.11111111E+999999997 Inexact Rounded 173divx281 divide 0.1 99e-999999999 -> 1.01010101E+999999996 Inexact Rounded 174divx282 divide 0.1 999e-999999999 -> 1.00100100E+999999995 Inexact Rounded 175 176divx283 divide 0.1 9e-999999998 -> 1.11111111E+999999996 Inexact Rounded 177divx284 divide 0.1 99e-999999998 -> 1.01010101E+999999995 Inexact Rounded 178divx285 divide 0.1 999e-999999998 -> 1.00100100E+999999994 Inexact Rounded 179divx286 divide 0.1 999e-999999997 -> 1.00100100E+999999993 Inexact Rounded 180divx287 divide 0.1 9999e-999999997 -> 1.00010001E+999999992 Inexact Rounded 181divx288 divide 0.1 99999e-999999997 -> 1.00001000E+999999991 Inexact Rounded 182 183-- Divide into 0 tests 184 185divx301 divide 0 7 -> 0 186divx302 divide 0 7E-5 -> 0E+5 187divx303 divide 0 7E-1 -> 0E+1 188divx304 divide 0 7E+1 -> 0.0 189divx305 divide 0 7E+5 -> 0.00000 190divx306 divide 0 7E+6 -> 0.000000 191divx307 divide 0 7E+7 -> 0E-7 192divx308 divide 0 70E-5 -> 0E+5 193divx309 divide 0 70E-1 -> 0E+1 194divx310 divide 0 70E+0 -> 0 195divx311 divide 0 70E+1 -> 0.0 196divx312 divide 0 70E+5 -> 0.00000 197divx313 divide 0 70E+6 -> 0.000000 198divx314 divide 0 70E+7 -> 0E-7 199divx315 divide 0 700E-5 -> 0E+5 200divx316 divide 0 700E-1 -> 0E+1 201divx317 divide 0 700E+0 -> 0 202divx318 divide 0 700E+1 -> 0.0 203divx319 divide 0 700E+5 -> 0.00000 204divx320 divide 0 700E+6 -> 0.000000 205divx321 divide 0 700E+7 -> 0E-7 206divx322 divide 0 700E+77 -> 0E-77 207 208divx331 divide 0E-3 7E-5 -> 0E+2 209divx332 divide 0E-3 7E-1 -> 0.00 210divx333 divide 0E-3 7E+1 -> 0.0000 211divx334 divide 0E-3 7E+5 -> 0E-8 212divx335 divide 0E-1 7E-5 -> 0E+4 213divx336 divide 0E-1 7E-1 -> 0 214divx337 divide 0E-1 7E+1 -> 0.00 215divx338 divide 0E-1 7E+5 -> 0.000000 216divx339 divide 0E+1 7E-5 -> 0E+6 217divx340 divide 0E+1 7E-1 -> 0E+2 218divx341 divide 0E+1 7E+1 -> 0 219divx342 divide 0E+1 7E+5 -> 0.0000 220divx343 divide 0E+3 7E-5 -> 0E+8 221divx344 divide 0E+3 7E-1 -> 0E+4 222divx345 divide 0E+3 7E+1 -> 0E+2 223divx346 divide 0E+3 7E+5 -> 0.00 224 225maxexponent: 92 226minexponent: -92 227precision: 7 228divx351 divide 0E-92 7E-1 -> 0E-91 229divx352 divide 0E-92 7E+1 -> 0E-93 230divx353 divide 0E-92 7E+5 -> 0E-97 231divx354 divide 0E-92 7E+6 -> 0E-98 232divx355 divide 0E-92 7E+7 -> 0E-98 Clamped 233divx356 divide 0E-92 777E-1 -> 0E-91 234divx357 divide 0E-92 777E+1 -> 0E-93 235divx358 divide 0E-92 777E+3 -> 0E-95 236divx359 divide 0E-92 777E+4 -> 0E-96 237divx360 divide 0E-92 777E+5 -> 0E-97 238divx361 divide 0E-92 777E+6 -> 0E-98 239divx362 divide 0E-92 777E+7 -> 0E-98 Clamped 240divx363 divide 0E-92 7E+92 -> 0E-98 Clamped 241 242divx371 divide 0E-92 700E-1 -> 0E-91 243divx372 divide 0E-92 700E+1 -> 0E-93 244divx373 divide 0E-92 700E+3 -> 0E-95 245divx374 divide 0E-92 700E+4 -> 0E-96 246divx375 divide 0E-92 700E+5 -> 0E-97 247divx376 divide 0E-92 700E+6 -> 0E-98 248divx377 divide 0E-92 700E+7 -> 0E-98 Clamped 249 250divx381 divide 0E+92 7E+1 -> 0E+91 251divx382 divide 0E+92 7E+0 -> 0E+92 252divx383 divide 0E+92 7E-1 -> 0E+92 Clamped 253divx384 divide 0E+90 777E+1 -> 0E+89 254divx385 divide 0E+90 777E-1 -> 0E+91 255divx386 divide 0E+90 777E-2 -> 0E+92 256divx387 divide 0E+90 777E-3 -> 0E+92 Clamped 257divx388 divide 0E+90 777E-4 -> 0E+92 Clamped 258 259divx391 divide 0E+90 700E+1 -> 0E+89 260divx392 divide 0E+90 700E-1 -> 0E+91 261divx393 divide 0E+90 700E-2 -> 0E+92 262divx394 divide 0E+90 700E-3 -> 0E+92 Clamped 263divx395 divide 0E+90 700E-4 -> 0E+92 Clamped 264 265-- input rounding checks 266maxexponent: 999 267minexponent: -999 268precision: 9 269divx401 divide 12345678000 1 -> 1.23456780E+10 Rounded 270divx402 divide 1 12345678000 -> 8.10000066E-11 Inexact Rounded 271divx403 divide 1234567800 1 -> 1.23456780E+9 Rounded 272divx404 divide 1 1234567800 -> 8.10000066E-10 Inexact Rounded 273divx405 divide 1234567890 1 -> 1.23456789E+9 Rounded 274divx406 divide 1 1234567890 -> 8.10000007E-10 Inexact Rounded 275divx407 divide 1234567891 1 -> 1.23456789E+9 Inexact Rounded 276divx408 divide 1 1234567891 -> 8.10000007E-10 Inexact Rounded 277divx409 divide 12345678901 1 -> 1.23456789E+10 Inexact Rounded 278divx410 divide 1 12345678901 -> 8.10000007E-11 Inexact Rounded 279divx411 divide 1234567896 1 -> 1.23456790E+9 Inexact Rounded 280divx412 divide 1 1234567896 -> 8.10000003E-10 Inexact Rounded 281divx413 divide 1 1234567897 -> 8.10000003E-10 Inexact Rounded 282divx414 divide 1 1234567898 -> 8.10000002E-10 Inexact Rounded 283divx415 divide 1 1234567899 -> 8.10000001E-10 Inexact Rounded 284divx416 divide 1 1234567900 -> 8.10000001E-10 Inexact Rounded 285divx417 divide 1 1234567901 -> 8.10000000E-10 Inexact Rounded 286divx418 divide 1 1234567902 -> 8.09999999E-10 Inexact Rounded 287-- some longies 288divx421 divide 1234567896.000000000000 1 -> 1.23456790E+9 Inexact Rounded 289divx422 divide 1 1234567896.000000000000 -> 8.10000003E-10 Inexact Rounded 290divx423 divide 1234567896.000000000001 1 -> 1.23456790E+9 Inexact Rounded 291divx424 divide 1 1234567896.000000000001 -> 8.10000003E-10 Inexact Rounded 292divx425 divide 1234567896.000000000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded 293divx426 divide 1 1234567896.000000000000000000000000000000000000000009 -> 8.10000003E-10 Inexact Rounded 294divx427 divide 1234567897.900010000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded 295divx428 divide 1 1234567897.900010000000000000000000000000000000000009 -> 8.10000002E-10 Inexact Rounded 296 297precision: 15 298-- still checking... 299divx441 divide 12345678000 1 -> 12345678000 300divx442 divide 1 12345678000 -> 8.10000066420005E-11 Inexact Rounded 301divx443 divide 1234567800 1 -> 1234567800 302divx444 divide 1 1234567800 -> 8.10000066420005E-10 Inexact Rounded 303divx445 divide 1234567890 1 -> 1234567890 304divx446 divide 1 1234567890 -> 8.10000007371000E-10 Inexact Rounded 305divx447 divide 1234567891 1 -> 1234567891 306divx448 divide 1 1234567891 -> 8.10000006714900E-10 Inexact Rounded 307divx449 divide 12345678901 1 -> 12345678901 308divx450 divide 1 12345678901 -> 8.10000007305390E-11 Inexact Rounded 309divx451 divide 1234567896 1 -> 1234567896 310divx452 divide 1 1234567896 -> 8.10000003434400E-10 Inexact Rounded 311 312-- high-lows 313divx453 divide 1e+1 1 -> 1E+1 314divx454 divide 1e+1 1.0 -> 1E+1 315divx455 divide 1e+1 1.00 -> 1E+1 316divx456 divide 1e+2 2 -> 5E+1 317divx457 divide 1e+2 2.0 -> 5E+1 318divx458 divide 1e+2 2.00 -> 5E+1 319 320-- some from IEEE discussions 321divx460 divide 3e0 2e0 -> 1.5 322divx461 divide 30e-1 2e0 -> 1.5 323divx462 divide 300e-2 2e0 -> 1.50 324divx464 divide 3000e-3 2e0 -> 1.500 325divx465 divide 3e0 20e-1 -> 1.5 326divx466 divide 30e-1 20e-1 -> 1.5 327divx467 divide 300e-2 20e-1 -> 1.5 328divx468 divide 3000e-3 20e-1 -> 1.50 329divx469 divide 3e0 200e-2 -> 1.5 330divx470 divide 30e-1 200e-2 -> 1.5 331divx471 divide 300e-2 200e-2 -> 1.5 332divx472 divide 3000e-3 200e-2 -> 1.5 333divx473 divide 3e0 2000e-3 -> 1.5 334divx474 divide 30e-1 2000e-3 -> 1.5 335divx475 divide 300e-2 2000e-3 -> 1.5 336divx476 divide 3000e-3 2000e-3 -> 1.5 337 338-- some reciprocals 339divx480 divide 1 1.0E+33 -> 1E-33 340divx481 divide 1 10E+33 -> 1E-34 341divx482 divide 1 1.0E-33 -> 1E+33 342divx483 divide 1 10E-33 -> 1E+32 343 344-- RMS discussion table 345maxexponent: 96 346minexponent: -95 347precision: 7 348 349divx484 divide 0e5 1e3 -> 0E+2 350divx485 divide 0e5 2e3 -> 0E+2 351divx486 divide 0e5 10e2 -> 0E+3 352divx487 divide 0e5 20e2 -> 0E+3 353divx488 divide 0e5 100e1 -> 0E+4 354divx489 divide 0e5 200e1 -> 0E+4 355 356divx491 divide 1e5 1e3 -> 1E+2 357divx492 divide 1e5 2e3 -> 5E+1 358divx493 divide 1e5 10e2 -> 1E+2 359divx494 divide 1e5 20e2 -> 5E+1 360divx495 divide 1e5 100e1 -> 1E+2 361divx496 divide 1e5 200e1 -> 5E+1 362 363-- tryzeros cases 364precision: 7 365rounding: half_up 366maxExponent: 92 367minexponent: -92 368divx497 divide 0E+86 1000E-13 -> 0E+92 Clamped 369divx498 divide 0E-98 1000E+13 -> 0E-98 Clamped 370 371precision: 9 372rounding: half_up 373maxExponent: 999 374minexponent: -999 375 376-- focus on trailing zeros issues 377precision: 9 378divx500 divide 1 9.9 -> 0.101010101 Inexact Rounded 379precision: 8 380divx501 divide 1 9.9 -> 0.10101010 Inexact Rounded 381precision: 7 382divx502 divide 1 9.9 -> 0.1010101 Inexact Rounded 383precision: 6 384divx503 divide 1 9.9 -> 0.101010 Inexact Rounded 385precision: 9 386 387divx511 divide 1 2 -> 0.5 388divx512 divide 1.0 2 -> 0.5 389divx513 divide 1.00 2 -> 0.50 390divx514 divide 1.000 2 -> 0.500 391divx515 divide 1.0000 2 -> 0.5000 392divx516 divide 1.00000 2 -> 0.50000 393divx517 divide 1.000000 2 -> 0.500000 394divx518 divide 1.0000000 2 -> 0.5000000 395divx519 divide 1.00 2.00 -> 0.5 396 397divx521 divide 2 1 -> 2 398divx522 divide 2 1.0 -> 2 399divx523 divide 2 1.00 -> 2 400divx524 divide 2 1.000 -> 2 401divx525 divide 2 1.0000 -> 2 402divx526 divide 2 1.00000 -> 2 403divx527 divide 2 1.000000 -> 2 404divx528 divide 2 1.0000000 -> 2 405divx529 divide 2.00 1.00 -> 2 406 407divx530 divide 2.40 2 -> 1.20 408divx531 divide 2.40 4 -> 0.60 409divx532 divide 2.40 10 -> 0.24 410divx533 divide 2.40 2.0 -> 1.2 411divx534 divide 2.40 4.0 -> 0.6 412divx535 divide 2.40 10.0 -> 0.24 413divx536 divide 2.40 2.00 -> 1.2 414divx537 divide 2.40 4.00 -> 0.6 415divx538 divide 2.40 10.00 -> 0.24 416divx539 divide 0.9 0.1 -> 9 417divx540 divide 0.9 0.01 -> 9E+1 418divx541 divide 0.9 0.001 -> 9E+2 419divx542 divide 5 2 -> 2.5 420divx543 divide 5 2.0 -> 2.5 421divx544 divide 5 2.00 -> 2.5 422divx545 divide 5 20 -> 0.25 423divx546 divide 5 20.0 -> 0.25 424divx547 divide 2.400 2 -> 1.200 425divx548 divide 2.400 2.0 -> 1.20 426divx549 divide 2.400 2.400 -> 1 427 428divx550 divide 240 1 -> 240 429divx551 divide 240 10 -> 24 430divx552 divide 240 100 -> 2.4 431divx553 divide 240 1000 -> 0.24 432divx554 divide 2400 1 -> 2400 433divx555 divide 2400 10 -> 240 434divx556 divide 2400 100 -> 24 435divx557 divide 2400 1000 -> 2.4 436 437-- +ve exponent 438precision: 5 439divx570 divide 2.4E+6 2 -> 1.2E+6 440divx571 divide 2.40E+6 2 -> 1.20E+6 441divx572 divide 2.400E+6 2 -> 1.200E+6 442divx573 divide 2.4000E+6 2 -> 1.2000E+6 443divx574 divide 24E+5 2 -> 1.2E+6 444divx575 divide 240E+4 2 -> 1.20E+6 445divx576 divide 2400E+3 2 -> 1.200E+6 446divx577 divide 24000E+2 2 -> 1.2000E+6 447precision: 6 448divx580 divide 2.4E+6 2 -> 1.2E+6 449divx581 divide 2.40E+6 2 -> 1.20E+6 450divx582 divide 2.400E+6 2 -> 1.200E+6 451divx583 divide 2.4000E+6 2 -> 1.2000E+6 452divx584 divide 24E+5 2 -> 1.2E+6 453divx585 divide 240E+4 2 -> 1.20E+6 454divx586 divide 2400E+3 2 -> 1.200E+6 455divx587 divide 24000E+2 2 -> 1.2000E+6 456precision: 7 457divx590 divide 2.4E+6 2 -> 1.2E+6 458divx591 divide 2.40E+6 2 -> 1.20E+6 459divx592 divide 2.400E+6 2 -> 1.200E+6 460divx593 divide 2.4000E+6 2 -> 1.2000E+6 461divx594 divide 24E+5 2 -> 1.2E+6 462divx595 divide 240E+4 2 -> 1.20E+6 463divx596 divide 2400E+3 2 -> 1.200E+6 464divx597 divide 24000E+2 2 -> 1.2000E+6 465precision: 9 466divx600 divide 2.4E+9 2 -> 1.2E+9 467divx601 divide 2.40E+9 2 -> 1.20E+9 468divx602 divide 2.400E+9 2 -> 1.200E+9 469divx603 divide 2.4000E+9 2 -> 1.2000E+9 470divx604 divide 24E+8 2 -> 1.2E+9 471divx605 divide 240E+7 2 -> 1.20E+9 472divx606 divide 2400E+6 2 -> 1.200E+9 473divx607 divide 24000E+5 2 -> 1.2000E+9 474 475-- long operand triangle 476precision: 33 477divx610 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097703792 Inexact Rounded 478precision: 32 479divx611 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770379 Inexact Rounded 480precision: 31 481divx612 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977038 Inexact Rounded 482precision: 30 483divx613 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097704 Inexact Rounded 484precision: 29 485divx614 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770 Inexact Rounded 486precision: 28 487divx615 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977 Inexact Rounded 488precision: 27 489divx616 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131098 Inexact Rounded 490precision: 26 491divx617 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813110 Inexact Rounded 492precision: 25 493divx618 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81311 Inexact Rounded 494precision: 24 495divx619 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131 Inexact Rounded 496precision: 23 497divx620 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813 Inexact Rounded 498precision: 22 499divx621 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81 Inexact Rounded 500precision: 21 501divx622 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8 Inexact Rounded 502precision: 20 503divx623 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817798 Inexact Rounded 504precision: 19 505divx624 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379681780E+19 Inexact Rounded 506precision: 18 507divx625 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968178E+19 Inexact Rounded 508precision: 17 509divx626 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883796818E+19 Inexact Rounded 510precision: 16 511divx627 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379682E+19 Inexact Rounded 512precision: 15 513divx628 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968E+19 Inexact Rounded 514precision: 14 515divx629 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883797E+19 Inexact Rounded 516precision: 13 517divx630 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888380E+19 Inexact Rounded 518precision: 12 519divx631 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088838E+19 Inexact Rounded 520precision: 11 521divx632 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408884E+19 Inexact Rounded 522precision: 10 523divx633 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888E+19 Inexact Rounded 524precision: 9 525divx634 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114089E+19 Inexact Rounded 526precision: 8 527divx635 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011409E+19 Inexact Rounded 528precision: 7 529divx636 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101141E+19 Inexact Rounded 530precision: 6 531divx637 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114E+19 Inexact Rounded 532precision: 5 533divx638 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011E+19 Inexact Rounded 534precision: 4 535divx639 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101E+19 Inexact Rounded 536precision: 3 537divx640 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10E+19 Inexact Rounded 538precision: 2 539divx641 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1E+19 Inexact Rounded 540precision: 1 541divx642 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4E+19 Inexact Rounded 542 543-- more zeros, etc. 544precision: 16 545rounding: half_up 546maxExponent: 384 547minExponent: -383 548 549divx731 divide 5.00 1E-3 -> 5.00E+3 550divx732 divide 00.00 0.000 -> NaN Division_undefined 551divx733 divide 00.00 0E-3 -> NaN Division_undefined 552divx734 divide 0 -0 -> NaN Division_undefined 553divx735 divide -0 0 -> NaN Division_undefined 554divx736 divide -0 -0 -> NaN Division_undefined 555 556divx741 divide 0 -1 -> -0 557divx742 divide -0 -1 -> 0 558divx743 divide 0 1 -> 0 559divx744 divide -0 1 -> -0 560divx745 divide -1 0 -> -Infinity Division_by_zero 561divx746 divide -1 -0 -> Infinity Division_by_zero 562divx747 divide 1 0 -> Infinity Division_by_zero 563divx748 divide 1 -0 -> -Infinity Division_by_zero 564 565divx751 divide 0.0 -1 -> -0.0 566divx752 divide -0.0 -1 -> 0.0 567divx753 divide 0.0 1 -> 0.0 568divx754 divide -0.0 1 -> -0.0 569divx755 divide -1.0 0 -> -Infinity Division_by_zero 570divx756 divide -1.0 -0 -> Infinity Division_by_zero 571divx757 divide 1.0 0 -> Infinity Division_by_zero 572divx758 divide 1.0 -0 -> -Infinity Division_by_zero 573 574divx761 divide 0 -1.0 -> -0E+1 575divx762 divide -0 -1.0 -> 0E+1 576divx763 divide 0 1.0 -> 0E+1 577divx764 divide -0 1.0 -> -0E+1 578divx765 divide -1 0.0 -> -Infinity Division_by_zero 579divx766 divide -1 -0.0 -> Infinity Division_by_zero 580divx767 divide 1 0.0 -> Infinity Division_by_zero 581divx768 divide 1 -0.0 -> -Infinity Division_by_zero 582 583divx771 divide 0.0 -1.0 -> -0 584divx772 divide -0.0 -1.0 -> 0 585divx773 divide 0.0 1.0 -> 0 586divx774 divide -0.0 1.0 -> -0 587divx775 divide -1.0 0.0 -> -Infinity Division_by_zero 588divx776 divide -1.0 -0.0 -> Infinity Division_by_zero 589divx777 divide 1.0 0.0 -> Infinity Division_by_zero 590divx778 divide 1.0 -0.0 -> -Infinity Division_by_zero 591 592-- Specials 593divx780 divide Inf -Inf -> NaN Invalid_operation 594divx781 divide Inf -1000 -> -Infinity 595divx782 divide Inf -1 -> -Infinity 596divx783 divide Inf -0 -> -Infinity 597divx784 divide Inf 0 -> Infinity 598divx785 divide Inf 1 -> Infinity 599divx786 divide Inf 1000 -> Infinity 600divx787 divide Inf Inf -> NaN Invalid_operation 601divx788 divide -1000 Inf -> -0E-398 Clamped 602divx789 divide -Inf Inf -> NaN Invalid_operation 603divx790 divide -1 Inf -> -0E-398 Clamped 604divx791 divide -0 Inf -> -0E-398 Clamped 605divx792 divide 0 Inf -> 0E-398 Clamped 606divx793 divide 1 Inf -> 0E-398 Clamped 607divx794 divide 1000 Inf -> 0E-398 Clamped 608divx795 divide Inf Inf -> NaN Invalid_operation 609 610divx800 divide -Inf -Inf -> NaN Invalid_operation 611divx801 divide -Inf -1000 -> Infinity 612divx802 divide -Inf -1 -> Infinity 613divx803 divide -Inf -0 -> Infinity 614divx804 divide -Inf 0 -> -Infinity 615divx805 divide -Inf 1 -> -Infinity 616divx806 divide -Inf 1000 -> -Infinity 617divx807 divide -Inf Inf -> NaN Invalid_operation 618divx808 divide -1000 Inf -> -0E-398 Clamped 619divx809 divide -Inf -Inf -> NaN Invalid_operation 620divx810 divide -1 -Inf -> 0E-398 Clamped 621divx811 divide -0 -Inf -> 0E-398 Clamped 622divx812 divide 0 -Inf -> -0E-398 Clamped 623divx813 divide 1 -Inf -> -0E-398 Clamped 624divx814 divide 1000 -Inf -> -0E-398 Clamped 625divx815 divide Inf -Inf -> NaN Invalid_operation 626 627divx821 divide NaN -Inf -> NaN 628divx822 divide NaN -1000 -> NaN 629divx823 divide NaN -1 -> NaN 630divx824 divide NaN -0 -> NaN 631divx825 divide NaN 0 -> NaN 632divx826 divide NaN 1 -> NaN 633divx827 divide NaN 1000 -> NaN 634divx828 divide NaN Inf -> NaN 635divx829 divide NaN NaN -> NaN 636divx830 divide -Inf NaN -> NaN 637divx831 divide -1000 NaN -> NaN 638divx832 divide -1 NaN -> NaN 639divx833 divide -0 NaN -> NaN 640divx834 divide 0 NaN -> NaN 641divx835 divide 1 NaN -> NaN 642divx836 divide 1000 NaN -> NaN 643divx837 divide Inf NaN -> NaN 644 645divx841 divide sNaN -Inf -> NaN Invalid_operation 646divx842 divide sNaN -1000 -> NaN Invalid_operation 647divx843 divide sNaN -1 -> NaN Invalid_operation 648divx844 divide sNaN -0 -> NaN Invalid_operation 649divx845 divide sNaN 0 -> NaN Invalid_operation 650divx846 divide sNaN 1 -> NaN Invalid_operation 651divx847 divide sNaN 1000 -> NaN Invalid_operation 652divx848 divide sNaN NaN -> NaN Invalid_operation 653divx849 divide sNaN sNaN -> NaN Invalid_operation 654divx850 divide NaN sNaN -> NaN Invalid_operation 655divx851 divide -Inf sNaN -> NaN Invalid_operation 656divx852 divide -1000 sNaN -> NaN Invalid_operation 657divx853 divide -1 sNaN -> NaN Invalid_operation 658divx854 divide -0 sNaN -> NaN Invalid_operation 659divx855 divide 0 sNaN -> NaN Invalid_operation 660divx856 divide 1 sNaN -> NaN Invalid_operation 661divx857 divide 1000 sNaN -> NaN Invalid_operation 662divx858 divide Inf sNaN -> NaN Invalid_operation 663divx859 divide NaN sNaN -> NaN Invalid_operation 664 665-- propagating NaNs 666divx861 divide NaN9 -Inf -> NaN9 667divx862 divide NaN8 1000 -> NaN8 668divx863 divide NaN7 Inf -> NaN7 669divx864 divide NaN6 NaN5 -> NaN6 670divx865 divide -Inf NaN4 -> NaN4 671divx866 divide -1000 NaN3 -> NaN3 672divx867 divide Inf NaN2 -> NaN2 673 674divx871 divide sNaN99 -Inf -> NaN99 Invalid_operation 675divx872 divide sNaN98 -1 -> NaN98 Invalid_operation 676divx873 divide sNaN97 NaN -> NaN97 Invalid_operation 677divx874 divide sNaN96 sNaN94 -> NaN96 Invalid_operation 678divx875 divide NaN95 sNaN93 -> NaN93 Invalid_operation 679divx876 divide -Inf sNaN92 -> NaN92 Invalid_operation 680divx877 divide 0 sNaN91 -> NaN91 Invalid_operation 681divx878 divide Inf sNaN90 -> NaN90 Invalid_operation 682divx879 divide NaN sNaN89 -> NaN89 Invalid_operation 683 684divx881 divide -NaN9 -Inf -> -NaN9 685divx882 divide -NaN8 1000 -> -NaN8 686divx883 divide -NaN7 Inf -> -NaN7 687divx884 divide -NaN6 -NaN5 -> -NaN6 688divx885 divide -Inf -NaN4 -> -NaN4 689divx886 divide -1000 -NaN3 -> -NaN3 690divx887 divide Inf -NaN2 -> -NaN2 691 692divx891 divide -sNaN99 -Inf -> -NaN99 Invalid_operation 693divx892 divide -sNaN98 -1 -> -NaN98 Invalid_operation 694divx893 divide -sNaN97 NaN -> -NaN97 Invalid_operation 695divx894 divide -sNaN96 -sNaN94 -> -NaN96 Invalid_operation 696divx895 divide -NaN95 -sNaN93 -> -NaN93 Invalid_operation 697divx896 divide -Inf -sNaN92 -> -NaN92 Invalid_operation 698divx897 divide 0 -sNaN91 -> -NaN91 Invalid_operation 699divx898 divide Inf -sNaN90 -> -NaN90 Invalid_operation 700divx899 divide -NaN -sNaN89 -> -NaN89 Invalid_operation 701 702maxexponent: 999999999 703minexponent: -999999999 704 705-- Various flavours of divide by 0 706divx901 divide 0 0 -> NaN Division_undefined 707divx902 divide 0.0E5 0 -> NaN Division_undefined 708divx903 divide 0.000 0 -> NaN Division_undefined 709divx904 divide 0.0001 0 -> Infinity Division_by_zero 710divx905 divide 0.01 0 -> Infinity Division_by_zero 711divx906 divide 0.1 0 -> Infinity Division_by_zero 712divx907 divide 1 0 -> Infinity Division_by_zero 713divx908 divide 1 0.0 -> Infinity Division_by_zero 714divx909 divide 10 0.0 -> Infinity Division_by_zero 715divx910 divide 1E+100 0.0 -> Infinity Division_by_zero 716divx911 divide 1E+1000 0 -> Infinity Division_by_zero 717 718divx921 divide -0.0001 0 -> -Infinity Division_by_zero 719divx922 divide -0.01 0 -> -Infinity Division_by_zero 720divx923 divide -0.1 0 -> -Infinity Division_by_zero 721divx924 divide -1 0 -> -Infinity Division_by_zero 722divx925 divide -1 0.0 -> -Infinity Division_by_zero 723divx926 divide -10 0.0 -> -Infinity Division_by_zero 724divx927 divide -1E+100 0.0 -> -Infinity Division_by_zero 725divx928 divide -1E+1000 0 -> -Infinity Division_by_zero 726 727divx931 divide 0.0001 -0 -> -Infinity Division_by_zero 728divx932 divide 0.01 -0 -> -Infinity Division_by_zero 729divx933 divide 0.1 -0 -> -Infinity Division_by_zero 730divx934 divide 1 -0 -> -Infinity Division_by_zero 731divx935 divide 1 -0.0 -> -Infinity Division_by_zero 732divx936 divide 10 -0.0 -> -Infinity Division_by_zero 733divx937 divide 1E+100 -0.0 -> -Infinity Division_by_zero 734divx938 divide 1E+1000 -0 -> -Infinity Division_by_zero 735 736divx941 divide -0.0001 -0 -> Infinity Division_by_zero 737divx942 divide -0.01 -0 -> Infinity Division_by_zero 738divx943 divide -0.1 -0 -> Infinity Division_by_zero 739divx944 divide -1 -0 -> Infinity Division_by_zero 740divx945 divide -1 -0.0 -> Infinity Division_by_zero 741divx946 divide -10 -0.0 -> Infinity Division_by_zero 742divx947 divide -1E+100 -0.0 -> Infinity Division_by_zero 743divx948 divide -1E+1000 -0 -> Infinity Division_by_zero 744 745-- overflow and underflow tests 746precision: 9 747maxexponent: 999999999 748minexponent: -999999999 749divx951 divide 9E+999999999 +0.23456789012345E-0 -> Infinity Inexact Overflow Rounded 750divx952 divide +0.100 9E+999999999 -> 1.111111E-1000000001 Inexact Rounded Underflow Subnormal 751divx953 divide 9E-999999999 +9.100 -> 9.8901099E-1000000000 Inexact Rounded Underflow Subnormal 752divx954 divide -1.23456789 9E+999999999 -> -1.3717421E-1000000000 Subnormal 753divx955 divide -1.23456789012345E-0 9E+999999999 -> -1.3717421E-1000000000 Underflow Subnormal Rounded Inexact 754divx956 divide -1.23456789012345E-0 7E+999999999 -> -1.7636684E-1000000000 Inexact Rounded Underflow Subnormal 755divx957 divide 9E+999999999 -0.83456789012345E-0 -> -Infinity Inexact Overflow Rounded 756divx958 divide -0.100 9E+999999999 -> -1.111111E-1000000001 Subnormal Inexact Rounded Underflow 757divx959 divide 9E-999999999 -9.100 -> -9.8901099E-1000000000 Inexact Rounded Underflow Subnormal 758 759-- overflow and underflow (additional edge tests in multiply.decTest) 760-- 'subnormal' results now possible (all hard underflow or overflow in 761-- base arithemtic) 762divx960 divide 1e-600000000 1e+400000001 -> 1E-1000000001 Subnormal 763divx961 divide 1e-600000000 1e+400000002 -> 1E-1000000002 Subnormal 764divx962 divide 1e-600000000 1e+400000003 -> 1E-1000000003 Subnormal 765divx963 divide 1e-600000000 1e+400000004 -> 1E-1000000004 Subnormal 766divx964 divide 1e-600000000 1e+400000005 -> 1E-1000000005 Subnormal 767divx965 divide 1e-600000000 1e+400000006 -> 1E-1000000006 Subnormal 768divx966 divide 1e-600000000 1e+400000007 -> 1E-1000000007 Subnormal 769divx967 divide 1e-600000000 1e+400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 770divx968 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 771divx969 divide 1e-600000000 1e+400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 772-- [no equivalent of 'subnormal' for overflow] 773divx970 divide 1e+600000000 1e-400000001 -> Infinity Overflow Inexact Rounded 774divx971 divide 1e+600000000 1e-400000002 -> Infinity Overflow Inexact Rounded 775divx972 divide 1e+600000000 1e-400000003 -> Infinity Overflow Inexact Rounded 776divx973 divide 1e+600000000 1e-400000004 -> Infinity Overflow Inexact Rounded 777divx974 divide 1e+600000000 1e-400000005 -> Infinity Overflow Inexact Rounded 778divx975 divide 1e+600000000 1e-400000006 -> Infinity Overflow Inexact Rounded 779divx976 divide 1e+600000000 1e-400000007 -> Infinity Overflow Inexact Rounded 780divx977 divide 1e+600000000 1e-400000008 -> Infinity Overflow Inexact Rounded 781divx978 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded 782divx979 divide 1e+600000000 1e-400000010 -> Infinity Overflow Inexact Rounded 783 784-- Sign after overflow and underflow 785divx980 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 786divx981 divide 1e-600000000 -1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 787divx982 divide -1e-600000000 1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 788divx983 divide -1e-600000000 -1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 789divx984 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded 790divx985 divide 1e+600000000 -1e-400000009 -> -Infinity Overflow Inexact Rounded 791divx986 divide -1e+600000000 1e-400000009 -> -Infinity Overflow Inexact Rounded 792divx987 divide -1e+600000000 -1e-400000009 -> Infinity Overflow Inexact Rounded 793 794-- Long operand overflow may be a different path 795precision: 3 796divx990 divide 1000 9.999E-999999999 -> Infinity Inexact Overflow Rounded 797divx991 divide 1000 -9.999E-999999999 -> -Infinity Inexact Overflow Rounded 798divx992 divide 9.999E+999999999 0.01 -> Infinity Inexact Overflow Rounded 799divx993 divide -9.999E+999999999 0.01 -> -Infinity Inexact Overflow Rounded 800 801-- check for double-rounded subnormals 802precision: 5 803maxexponent: 79 804minexponent: -79 805divx1001 divide 1.52444E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow 806divx1002 divide 1.52445E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow 807divx1003 divide 1.52446E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow 808 809-- a rounding problem in one implementation 810precision: 34 811rounding: half_up 812maxExponent: 6144 813minExponent: -6143 814-- Unbounded answer to 40 digits: 815-- 1.465811965811965811965811965811965811966E+7000 816divx1010 divide 343E6000 234E-1000 -> Infinity Overflow Inexact Rounded 817 818precision: 34 819rounding: half_up 820maxExponent: 6144 821minExponent: -6143 822 823-- Examples from SQL proposal (Krishna Kulkarni) 824precision: 7 825divx1021 divide 1E0 1E0 -> 1 826divx1022 divide 1E0 2E0 -> 0.5 827divx1023 divide 1E0 3E0 -> 0.3333333 Inexact Rounded 828divx1024 divide 100E-2 1000E-3 -> 1 829divx1025 divide 24E-1 2E0 -> 1.2 830divx1026 divide 2400E-3 2E0 -> 1.200 831divx1027 divide 5E0 2E0 -> 2.5 832divx1028 divide 5E0 20E-1 -> 2.5 833divx1029 divide 5E0 2000E-3 -> 2.5 834divx1030 divide 5E0 2E-1 -> 25 835divx1031 divide 5E0 20E-2 -> 25 836divx1032 divide 480E-2 3E0 -> 1.60 837divx1033 divide 47E-1 2E0 -> 2.35 838 839-- ECMAScript bad examples 840rounding: half_down 841precision: 7 842divx1050 divide 5 9 -> 0.5555556 Inexact Rounded 843rounding: half_even 844divx1051 divide 5 11 -> 0.4545455 Inexact Rounded 845 846-- payload decapitate 847precision: 5 848divx1055 divide sNaN987654321 1 -> NaN54321 Invalid_operation 849 850-- Null tests 851divx9998 divide 10 # -> NaN Invalid_operation 852divx9999 divide # 10 -> NaN Invalid_operation 853 854