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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/divide.decTest')
-rw-r--r-- | lib/python2.7/test/decimaltestdata/divide.decTest | 854 |
1 files changed, 0 insertions, 854 deletions
diff --git a/lib/python2.7/test/decimaltestdata/divide.decTest b/lib/python2.7/test/decimaltestdata/divide.decTest deleted file mode 100644 index efbb5ba..0000000 --- a/lib/python2.7/test/decimaltestdata/divide.decTest +++ /dev/null @@ -1,854 +0,0 @@ ------------------------------------------------------------------------- --- divide.decTest -- decimal division -- --- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------- --- Please see the document "General Decimal Arithmetic Testcases" -- --- at http://www2.hursley.ibm.com/decimal for the description of -- --- these testcases. -- --- -- --- These testcases are experimental ('beta' versions), and they -- --- may contain errors. They are offered on an as-is basis. In -- --- particular, achieving the same results as the tests here is not -- --- a guarantee that an implementation complies with any Standard -- --- or specification. The tests are not exhaustive. -- --- -- --- Please send comments, suggestions, and corrections to the author: -- --- Mike Cowlishaw, IBM Fellow -- --- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- --- mfc@uk.ibm.com -- ------------------------------------------------------------------------- -version: 2.59 - -extended: 1 -precision: 9 -rounding: half_up -maxExponent: 384 -minexponent: -383 - --- sanity checks -divx001 divide 1 1 -> 1 -divx002 divide 2 1 -> 2 -divx003 divide 1 2 -> 0.5 -divx004 divide 2 2 -> 1 -divx005 divide 0 1 -> 0 -divx006 divide 0 2 -> 0 -divx007 divide 1 3 -> 0.333333333 Inexact Rounded -divx008 divide 2 3 -> 0.666666667 Inexact Rounded -divx009 divide 3 3 -> 1 - -divx010 divide 2.4 1 -> 2.4 -divx011 divide 2.4 -1 -> -2.4 -divx012 divide -2.4 1 -> -2.4 -divx013 divide -2.4 -1 -> 2.4 -divx014 divide 2.40 1 -> 2.40 -divx015 divide 2.400 1 -> 2.400 -divx016 divide 2.4 2 -> 1.2 -divx017 divide 2.400 2 -> 1.200 -divx018 divide 2. 2 -> 1 -divx019 divide 20 20 -> 1 - -divx020 divide 187 187 -> 1 -divx021 divide 5 2 -> 2.5 -divx022 divide 50 20 -> 2.5 -divx023 divide 500 200 -> 2.5 -divx024 divide 50.0 20.0 -> 2.5 -divx025 divide 5.00 2.00 -> 2.5 -divx026 divide 5 2.0 -> 2.5 -divx027 divide 5 2.000 -> 2.5 -divx028 divide 5 0.20 -> 25 -divx029 divide 5 0.200 -> 25 -divx030 divide 10 1 -> 10 -divx031 divide 100 1 -> 100 -divx032 divide 1000 1 -> 1000 -divx033 divide 1000 100 -> 10 - -divx035 divide 1 2 -> 0.5 -divx036 divide 1 4 -> 0.25 -divx037 divide 1 8 -> 0.125 -divx038 divide 1 16 -> 0.0625 -divx039 divide 1 32 -> 0.03125 -divx040 divide 1 64 -> 0.015625 -divx041 divide 1 -2 -> -0.5 -divx042 divide 1 -4 -> -0.25 -divx043 divide 1 -8 -> -0.125 -divx044 divide 1 -16 -> -0.0625 -divx045 divide 1 -32 -> -0.03125 -divx046 divide 1 -64 -> -0.015625 -divx047 divide -1 2 -> -0.5 -divx048 divide -1 4 -> -0.25 -divx049 divide -1 8 -> -0.125 -divx050 divide -1 16 -> -0.0625 -divx051 divide -1 32 -> -0.03125 -divx052 divide -1 64 -> -0.015625 -divx053 divide -1 -2 -> 0.5 -divx054 divide -1 -4 -> 0.25 -divx055 divide -1 -8 -> 0.125 -divx056 divide -1 -16 -> 0.0625 -divx057 divide -1 -32 -> 0.03125 -divx058 divide -1 -64 -> 0.015625 - -divx070 divide 999999999 1 -> 999999999 -divx071 divide 999999999.4 1 -> 999999999 Inexact Rounded -divx072 divide 999999999.5 1 -> 1.00000000E+9 Inexact Rounded -divx073 divide 999999999.9 1 -> 1.00000000E+9 Inexact Rounded -divx074 divide 999999999.999 1 -> 1.00000000E+9 Inexact Rounded -precision: 6 -divx080 divide 999999999 1 -> 1.00000E+9 Inexact Rounded -divx081 divide 99999999 1 -> 1.00000E+8 Inexact Rounded -divx082 divide 9999999 1 -> 1.00000E+7 Inexact Rounded -divx083 divide 999999 1 -> 999999 -divx084 divide 99999 1 -> 99999 -divx085 divide 9999 1 -> 9999 -divx086 divide 999 1 -> 999 -divx087 divide 99 1 -> 99 -divx088 divide 9 1 -> 9 - -precision: 9 -divx090 divide 0. 1 -> 0 -divx091 divide .0 1 -> 0.0 -divx092 divide 0.00 1 -> 0.00 -divx093 divide 0.00E+9 1 -> 0E+7 -divx094 divide 0.0000E-50 1 -> 0E-54 - -divx095 divide 1 1E-8 -> 1E+8 -divx096 divide 1 1E-9 -> 1E+9 -divx097 divide 1 1E-10 -> 1E+10 -divx098 divide 1 1E-11 -> 1E+11 -divx099 divide 1 1E-12 -> 1E+12 - -divx100 divide 1 1 -> 1 -divx101 divide 1 2 -> 0.5 -divx102 divide 1 3 -> 0.333333333 Inexact Rounded -divx103 divide 1 4 -> 0.25 -divx104 divide 1 5 -> 0.2 -divx105 divide 1 6 -> 0.166666667 Inexact Rounded -divx106 divide 1 7 -> 0.142857143 Inexact Rounded -divx107 divide 1 8 -> 0.125 -divx108 divide 1 9 -> 0.111111111 Inexact Rounded -divx109 divide 1 10 -> 0.1 -divx110 divide 1 1 -> 1 -divx111 divide 2 1 -> 2 -divx112 divide 3 1 -> 3 -divx113 divide 4 1 -> 4 -divx114 divide 5 1 -> 5 -divx115 divide 6 1 -> 6 -divx116 divide 7 1 -> 7 -divx117 divide 8 1 -> 8 -divx118 divide 9 1 -> 9 -divx119 divide 10 1 -> 10 - -divx120 divide 3E+1 0.001 -> 3E+4 -divx121 divide 2.200 2 -> 1.100 - -divx130 divide 12345 4.999 -> 2469.49390 Inexact Rounded -divx131 divide 12345 4.99 -> 2473.94790 Inexact Rounded -divx132 divide 12345 4.9 -> 2519.38776 Inexact Rounded -divx133 divide 12345 5 -> 2469 -divx134 divide 12345 5.1 -> 2420.58824 Inexact Rounded -divx135 divide 12345 5.01 -> 2464.07186 Inexact Rounded -divx136 divide 12345 5.001 -> 2468.50630 Inexact Rounded - -precision: 9 -maxexponent: 999999999 -minexponent: -999999999 - --- test possibly imprecise results -divx220 divide 391 597 -> 0.654941374 Inexact Rounded -divx221 divide 391 -597 -> -0.654941374 Inexact Rounded -divx222 divide -391 597 -> -0.654941374 Inexact Rounded -divx223 divide -391 -597 -> 0.654941374 Inexact Rounded - --- test some cases that are close to exponent overflow -maxexponent: 999999999 -minexponent: -999999999 -divx270 divide 1 1e999999999 -> 1E-999999999 -divx271 divide 1 0.9e999999999 -> 1.11111111E-999999999 Inexact Rounded -divx272 divide 1 0.99e999999999 -> 1.01010101E-999999999 Inexact Rounded -divx273 divide 1 0.999999999e999999999 -> 1.00000000E-999999999 Inexact Rounded -divx274 divide 9e999999999 1 -> 9E+999999999 -divx275 divide 9.9e999999999 1 -> 9.9E+999999999 -divx276 divide 9.99e999999999 1 -> 9.99E+999999999 -divx277 divide 9.99999999e999999999 1 -> 9.99999999E+999999999 - -divx280 divide 0.1 9e-999999999 -> 1.11111111E+999999997 Inexact Rounded -divx281 divide 0.1 99e-999999999 -> 1.01010101E+999999996 Inexact Rounded -divx282 divide 0.1 999e-999999999 -> 1.00100100E+999999995 Inexact Rounded - -divx283 divide 0.1 9e-999999998 -> 1.11111111E+999999996 Inexact Rounded -divx284 divide 0.1 99e-999999998 -> 1.01010101E+999999995 Inexact Rounded -divx285 divide 0.1 999e-999999998 -> 1.00100100E+999999994 Inexact Rounded -divx286 divide 0.1 999e-999999997 -> 1.00100100E+999999993 Inexact Rounded -divx287 divide 0.1 9999e-999999997 -> 1.00010001E+999999992 Inexact Rounded -divx288 divide 0.1 99999e-999999997 -> 1.00001000E+999999991 Inexact Rounded - --- Divide into 0 tests - -divx301 divide 0 7 -> 0 -divx302 divide 0 7E-5 -> 0E+5 -divx303 divide 0 7E-1 -> 0E+1 -divx304 divide 0 7E+1 -> 0.0 -divx305 divide 0 7E+5 -> 0.00000 -divx306 divide 0 7E+6 -> 0.000000 -divx307 divide 0 7E+7 -> 0E-7 -divx308 divide 0 70E-5 -> 0E+5 -divx309 divide 0 70E-1 -> 0E+1 -divx310 divide 0 70E+0 -> 0 -divx311 divide 0 70E+1 -> 0.0 -divx312 divide 0 70E+5 -> 0.00000 -divx313 divide 0 70E+6 -> 0.000000 -divx314 divide 0 70E+7 -> 0E-7 -divx315 divide 0 700E-5 -> 0E+5 -divx316 divide 0 700E-1 -> 0E+1 -divx317 divide 0 700E+0 -> 0 -divx318 divide 0 700E+1 -> 0.0 -divx319 divide 0 700E+5 -> 0.00000 -divx320 divide 0 700E+6 -> 0.000000 -divx321 divide 0 700E+7 -> 0E-7 -divx322 divide 0 700E+77 -> 0E-77 - -divx331 divide 0E-3 7E-5 -> 0E+2 -divx332 divide 0E-3 7E-1 -> 0.00 -divx333 divide 0E-3 7E+1 -> 0.0000 -divx334 divide 0E-3 7E+5 -> 0E-8 -divx335 divide 0E-1 7E-5 -> 0E+4 -divx336 divide 0E-1 7E-1 -> 0 -divx337 divide 0E-1 7E+1 -> 0.00 -divx338 divide 0E-1 7E+5 -> 0.000000 -divx339 divide 0E+1 7E-5 -> 0E+6 -divx340 divide 0E+1 7E-1 -> 0E+2 -divx341 divide 0E+1 7E+1 -> 0 -divx342 divide 0E+1 7E+5 -> 0.0000 -divx343 divide 0E+3 7E-5 -> 0E+8 -divx344 divide 0E+3 7E-1 -> 0E+4 -divx345 divide 0E+3 7E+1 -> 0E+2 -divx346 divide 0E+3 7E+5 -> 0.00 - -maxexponent: 92 -minexponent: -92 -precision: 7 -divx351 divide 0E-92 7E-1 -> 0E-91 -divx352 divide 0E-92 7E+1 -> 0E-93 -divx353 divide 0E-92 7E+5 -> 0E-97 -divx354 divide 0E-92 7E+6 -> 0E-98 -divx355 divide 0E-92 7E+7 -> 0E-98 Clamped -divx356 divide 0E-92 777E-1 -> 0E-91 -divx357 divide 0E-92 777E+1 -> 0E-93 -divx358 divide 0E-92 777E+3 -> 0E-95 -divx359 divide 0E-92 777E+4 -> 0E-96 -divx360 divide 0E-92 777E+5 -> 0E-97 -divx361 divide 0E-92 777E+6 -> 0E-98 -divx362 divide 0E-92 777E+7 -> 0E-98 Clamped -divx363 divide 0E-92 7E+92 -> 0E-98 Clamped - -divx371 divide 0E-92 700E-1 -> 0E-91 -divx372 divide 0E-92 700E+1 -> 0E-93 -divx373 divide 0E-92 700E+3 -> 0E-95 -divx374 divide 0E-92 700E+4 -> 0E-96 -divx375 divide 0E-92 700E+5 -> 0E-97 -divx376 divide 0E-92 700E+6 -> 0E-98 -divx377 divide 0E-92 700E+7 -> 0E-98 Clamped - -divx381 divide 0E+92 7E+1 -> 0E+91 -divx382 divide 0E+92 7E+0 -> 0E+92 -divx383 divide 0E+92 7E-1 -> 0E+92 Clamped -divx384 divide 0E+90 777E+1 -> 0E+89 -divx385 divide 0E+90 777E-1 -> 0E+91 -divx386 divide 0E+90 777E-2 -> 0E+92 -divx387 divide 0E+90 777E-3 -> 0E+92 Clamped -divx388 divide 0E+90 777E-4 -> 0E+92 Clamped - -divx391 divide 0E+90 700E+1 -> 0E+89 -divx392 divide 0E+90 700E-1 -> 0E+91 -divx393 divide 0E+90 700E-2 -> 0E+92 -divx394 divide 0E+90 700E-3 -> 0E+92 Clamped -divx395 divide 0E+90 700E-4 -> 0E+92 Clamped - --- input rounding checks -maxexponent: 999 -minexponent: -999 -precision: 9 -divx401 divide 12345678000 1 -> 1.23456780E+10 Rounded -divx402 divide 1 12345678000 -> 8.10000066E-11 Inexact Rounded -divx403 divide 1234567800 1 -> 1.23456780E+9 Rounded -divx404 divide 1 1234567800 -> 8.10000066E-10 Inexact Rounded -divx405 divide 1234567890 1 -> 1.23456789E+9 Rounded -divx406 divide 1 1234567890 -> 8.10000007E-10 Inexact Rounded -divx407 divide 1234567891 1 -> 1.23456789E+9 Inexact Rounded -divx408 divide 1 1234567891 -> 8.10000007E-10 Inexact Rounded -divx409 divide 12345678901 1 -> 1.23456789E+10 Inexact Rounded -divx410 divide 1 12345678901 -> 8.10000007E-11 Inexact Rounded -divx411 divide 1234567896 1 -> 1.23456790E+9 Inexact Rounded -divx412 divide 1 1234567896 -> 8.10000003E-10 Inexact Rounded -divx413 divide 1 1234567897 -> 8.10000003E-10 Inexact Rounded -divx414 divide 1 1234567898 -> 8.10000002E-10 Inexact Rounded -divx415 divide 1 1234567899 -> 8.10000001E-10 Inexact Rounded -divx416 divide 1 1234567900 -> 8.10000001E-10 Inexact Rounded -divx417 divide 1 1234567901 -> 8.10000000E-10 Inexact Rounded -divx418 divide 1 1234567902 -> 8.09999999E-10 Inexact Rounded --- some longies -divx421 divide 1234567896.000000000000 1 -> 1.23456790E+9 Inexact Rounded -divx422 divide 1 1234567896.000000000000 -> 8.10000003E-10 Inexact Rounded -divx423 divide 1234567896.000000000001 1 -> 1.23456790E+9 Inexact Rounded -divx424 divide 1 1234567896.000000000001 -> 8.10000003E-10 Inexact Rounded -divx425 divide 1234567896.000000000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded -divx426 divide 1 1234567896.000000000000000000000000000000000000000009 -> 8.10000003E-10 Inexact Rounded -divx427 divide 1234567897.900010000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded -divx428 divide 1 1234567897.900010000000000000000000000000000000000009 -> 8.10000002E-10 Inexact Rounded - -precision: 15 --- still checking... -divx441 divide 12345678000 1 -> 12345678000 -divx442 divide 1 12345678000 -> 8.10000066420005E-11 Inexact Rounded -divx443 divide 1234567800 1 -> 1234567800 -divx444 divide 1 1234567800 -> 8.10000066420005E-10 Inexact Rounded -divx445 divide 1234567890 1 -> 1234567890 -divx446 divide 1 1234567890 -> 8.10000007371000E-10 Inexact Rounded -divx447 divide 1234567891 1 -> 1234567891 -divx448 divide 1 1234567891 -> 8.10000006714900E-10 Inexact Rounded -divx449 divide 12345678901 1 -> 12345678901 -divx450 divide 1 12345678901 -> 8.10000007305390E-11 Inexact Rounded -divx451 divide 1234567896 1 -> 1234567896 -divx452 divide 1 1234567896 -> 8.10000003434400E-10 Inexact Rounded - --- high-lows -divx453 divide 1e+1 1 -> 1E+1 -divx454 divide 1e+1 1.0 -> 1E+1 -divx455 divide 1e+1 1.00 -> 1E+1 -divx456 divide 1e+2 2 -> 5E+1 -divx457 divide 1e+2 2.0 -> 5E+1 -divx458 divide 1e+2 2.00 -> 5E+1 - --- some from IEEE discussions -divx460 divide 3e0 2e0 -> 1.5 -divx461 divide 30e-1 2e0 -> 1.5 -divx462 divide 300e-2 2e0 -> 1.50 -divx464 divide 3000e-3 2e0 -> 1.500 -divx465 divide 3e0 20e-1 -> 1.5 -divx466 divide 30e-1 20e-1 -> 1.5 -divx467 divide 300e-2 20e-1 -> 1.5 -divx468 divide 3000e-3 20e-1 -> 1.50 -divx469 divide 3e0 200e-2 -> 1.5 -divx470 divide 30e-1 200e-2 -> 1.5 -divx471 divide 300e-2 200e-2 -> 1.5 -divx472 divide 3000e-3 200e-2 -> 1.5 -divx473 divide 3e0 2000e-3 -> 1.5 -divx474 divide 30e-1 2000e-3 -> 1.5 -divx475 divide 300e-2 2000e-3 -> 1.5 -divx476 divide 3000e-3 2000e-3 -> 1.5 - --- some reciprocals -divx480 divide 1 1.0E+33 -> 1E-33 -divx481 divide 1 10E+33 -> 1E-34 -divx482 divide 1 1.0E-33 -> 1E+33 -divx483 divide 1 10E-33 -> 1E+32 - --- RMS discussion table -maxexponent: 96 -minexponent: -95 -precision: 7 - -divx484 divide 0e5 1e3 -> 0E+2 -divx485 divide 0e5 2e3 -> 0E+2 -divx486 divide 0e5 10e2 -> 0E+3 -divx487 divide 0e5 20e2 -> 0E+3 -divx488 divide 0e5 100e1 -> 0E+4 -divx489 divide 0e5 200e1 -> 0E+4 - -divx491 divide 1e5 1e3 -> 1E+2 -divx492 divide 1e5 2e3 -> 5E+1 -divx493 divide 1e5 10e2 -> 1E+2 -divx494 divide 1e5 20e2 -> 5E+1 -divx495 divide 1e5 100e1 -> 1E+2 -divx496 divide 1e5 200e1 -> 5E+1 - --- tryzeros cases -precision: 7 -rounding: half_up -maxExponent: 92 -minexponent: -92 -divx497 divide 0E+86 1000E-13 -> 0E+92 Clamped -divx498 divide 0E-98 1000E+13 -> 0E-98 Clamped - -precision: 9 -rounding: half_up -maxExponent: 999 -minexponent: -999 - --- focus on trailing zeros issues -precision: 9 -divx500 divide 1 9.9 -> 0.101010101 Inexact Rounded -precision: 8 -divx501 divide 1 9.9 -> 0.10101010 Inexact Rounded -precision: 7 -divx502 divide 1 9.9 -> 0.1010101 Inexact Rounded -precision: 6 -divx503 divide 1 9.9 -> 0.101010 Inexact Rounded -precision: 9 - -divx511 divide 1 2 -> 0.5 -divx512 divide 1.0 2 -> 0.5 -divx513 divide 1.00 2 -> 0.50 -divx514 divide 1.000 2 -> 0.500 -divx515 divide 1.0000 2 -> 0.5000 -divx516 divide 1.00000 2 -> 0.50000 -divx517 divide 1.000000 2 -> 0.500000 -divx518 divide 1.0000000 2 -> 0.5000000 -divx519 divide 1.00 2.00 -> 0.5 - -divx521 divide 2 1 -> 2 -divx522 divide 2 1.0 -> 2 -divx523 divide 2 1.00 -> 2 -divx524 divide 2 1.000 -> 2 -divx525 divide 2 1.0000 -> 2 -divx526 divide 2 1.00000 -> 2 -divx527 divide 2 1.000000 -> 2 -divx528 divide 2 1.0000000 -> 2 -divx529 divide 2.00 1.00 -> 2 - -divx530 divide 2.40 2 -> 1.20 -divx531 divide 2.40 4 -> 0.60 -divx532 divide 2.40 10 -> 0.24 -divx533 divide 2.40 2.0 -> 1.2 -divx534 divide 2.40 4.0 -> 0.6 -divx535 divide 2.40 10.0 -> 0.24 -divx536 divide 2.40 2.00 -> 1.2 -divx537 divide 2.40 4.00 -> 0.6 -divx538 divide 2.40 10.00 -> 0.24 -divx539 divide 0.9 0.1 -> 9 -divx540 divide 0.9 0.01 -> 9E+1 -divx541 divide 0.9 0.001 -> 9E+2 -divx542 divide 5 2 -> 2.5 -divx543 divide 5 2.0 -> 2.5 -divx544 divide 5 2.00 -> 2.5 -divx545 divide 5 20 -> 0.25 -divx546 divide 5 20.0 -> 0.25 -divx547 divide 2.400 2 -> 1.200 -divx548 divide 2.400 2.0 -> 1.20 -divx549 divide 2.400 2.400 -> 1 - -divx550 divide 240 1 -> 240 -divx551 divide 240 10 -> 24 -divx552 divide 240 100 -> 2.4 -divx553 divide 240 1000 -> 0.24 -divx554 divide 2400 1 -> 2400 -divx555 divide 2400 10 -> 240 -divx556 divide 2400 100 -> 24 -divx557 divide 2400 1000 -> 2.4 - --- +ve exponent -precision: 5 -divx570 divide 2.4E+6 2 -> 1.2E+6 -divx571 divide 2.40E+6 2 -> 1.20E+6 -divx572 divide 2.400E+6 2 -> 1.200E+6 -divx573 divide 2.4000E+6 2 -> 1.2000E+6 -divx574 divide 24E+5 2 -> 1.2E+6 -divx575 divide 240E+4 2 -> 1.20E+6 -divx576 divide 2400E+3 2 -> 1.200E+6 -divx577 divide 24000E+2 2 -> 1.2000E+6 -precision: 6 -divx580 divide 2.4E+6 2 -> 1.2E+6 -divx581 divide 2.40E+6 2 -> 1.20E+6 -divx582 divide 2.400E+6 2 -> 1.200E+6 -divx583 divide 2.4000E+6 2 -> 1.2000E+6 -divx584 divide 24E+5 2 -> 1.2E+6 -divx585 divide 240E+4 2 -> 1.20E+6 -divx586 divide 2400E+3 2 -> 1.200E+6 -divx587 divide 24000E+2 2 -> 1.2000E+6 -precision: 7 -divx590 divide 2.4E+6 2 -> 1.2E+6 -divx591 divide 2.40E+6 2 -> 1.20E+6 -divx592 divide 2.400E+6 2 -> 1.200E+6 -divx593 divide 2.4000E+6 2 -> 1.2000E+6 -divx594 divide 24E+5 2 -> 1.2E+6 -divx595 divide 240E+4 2 -> 1.20E+6 -divx596 divide 2400E+3 2 -> 1.200E+6 -divx597 divide 24000E+2 2 -> 1.2000E+6 -precision: 9 -divx600 divide 2.4E+9 2 -> 1.2E+9 -divx601 divide 2.40E+9 2 -> 1.20E+9 -divx602 divide 2.400E+9 2 -> 1.200E+9 -divx603 divide 2.4000E+9 2 -> 1.2000E+9 -divx604 divide 24E+8 2 -> 1.2E+9 -divx605 divide 240E+7 2 -> 1.20E+9 -divx606 divide 2400E+6 2 -> 1.200E+9 -divx607 divide 24000E+5 2 -> 1.2000E+9 - --- long operand triangle -precision: 33 -divx610 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097703792 Inexact Rounded -precision: 32 -divx611 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770379 Inexact Rounded -precision: 31 -divx612 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977038 Inexact Rounded -precision: 30 -divx613 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097704 Inexact Rounded -precision: 29 -divx614 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770 Inexact Rounded -precision: 28 -divx615 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977 Inexact Rounded -precision: 27 -divx616 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131098 Inexact Rounded -precision: 26 -divx617 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813110 Inexact Rounded -precision: 25 -divx618 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81311 Inexact Rounded -precision: 24 -divx619 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131 Inexact Rounded -precision: 23 -divx620 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813 Inexact Rounded -precision: 22 -divx621 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81 Inexact Rounded -precision: 21 -divx622 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8 Inexact Rounded -precision: 20 -divx623 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817798 Inexact Rounded -precision: 19 -divx624 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379681780E+19 Inexact Rounded -precision: 18 -divx625 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968178E+19 Inexact Rounded -precision: 17 -divx626 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883796818E+19 Inexact Rounded -precision: 16 -divx627 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379682E+19 Inexact Rounded -precision: 15 -divx628 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968E+19 Inexact Rounded -precision: 14 -divx629 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883797E+19 Inexact Rounded -precision: 13 -divx630 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888380E+19 Inexact Rounded -precision: 12 -divx631 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088838E+19 Inexact Rounded -precision: 11 -divx632 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408884E+19 Inexact Rounded -precision: 10 -divx633 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888E+19 Inexact Rounded -precision: 9 -divx634 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114089E+19 Inexact Rounded -precision: 8 -divx635 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011409E+19 Inexact Rounded -precision: 7 -divx636 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101141E+19 Inexact Rounded -precision: 6 -divx637 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114E+19 Inexact Rounded -precision: 5 -divx638 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011E+19 Inexact Rounded -precision: 4 -divx639 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101E+19 Inexact Rounded -precision: 3 -divx640 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10E+19 Inexact Rounded -precision: 2 -divx641 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1E+19 Inexact Rounded -precision: 1 -divx642 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4E+19 Inexact Rounded - --- more zeros, etc. -precision: 16 -rounding: half_up -maxExponent: 384 -minExponent: -383 - -divx731 divide 5.00 1E-3 -> 5.00E+3 -divx732 divide 00.00 0.000 -> NaN Division_undefined -divx733 divide 00.00 0E-3 -> NaN Division_undefined -divx734 divide 0 -0 -> NaN Division_undefined -divx735 divide -0 0 -> NaN Division_undefined -divx736 divide -0 -0 -> NaN Division_undefined - -divx741 divide 0 -1 -> -0 -divx742 divide -0 -1 -> 0 -divx743 divide 0 1 -> 0 -divx744 divide -0 1 -> -0 -divx745 divide -1 0 -> -Infinity Division_by_zero -divx746 divide -1 -0 -> Infinity Division_by_zero -divx747 divide 1 0 -> Infinity Division_by_zero -divx748 divide 1 -0 -> -Infinity Division_by_zero - -divx751 divide 0.0 -1 -> -0.0 -divx752 divide -0.0 -1 -> 0.0 -divx753 divide 0.0 1 -> 0.0 -divx754 divide -0.0 1 -> -0.0 -divx755 divide -1.0 0 -> -Infinity Division_by_zero -divx756 divide -1.0 -0 -> Infinity Division_by_zero -divx757 divide 1.0 0 -> Infinity Division_by_zero -divx758 divide 1.0 -0 -> -Infinity Division_by_zero - -divx761 divide 0 -1.0 -> -0E+1 -divx762 divide -0 -1.0 -> 0E+1 -divx763 divide 0 1.0 -> 0E+1 -divx764 divide -0 1.0 -> -0E+1 -divx765 divide -1 0.0 -> -Infinity Division_by_zero -divx766 divide -1 -0.0 -> Infinity Division_by_zero -divx767 divide 1 0.0 -> Infinity Division_by_zero -divx768 divide 1 -0.0 -> -Infinity Division_by_zero - -divx771 divide 0.0 -1.0 -> -0 -divx772 divide -0.0 -1.0 -> 0 -divx773 divide 0.0 1.0 -> 0 -divx774 divide -0.0 1.0 -> -0 -divx775 divide -1.0 0.0 -> -Infinity Division_by_zero -divx776 divide -1.0 -0.0 -> Infinity Division_by_zero -divx777 divide 1.0 0.0 -> Infinity Division_by_zero -divx778 divide 1.0 -0.0 -> -Infinity Division_by_zero - --- Specials -divx780 divide Inf -Inf -> NaN Invalid_operation -divx781 divide Inf -1000 -> -Infinity -divx782 divide Inf -1 -> -Infinity -divx783 divide Inf -0 -> -Infinity -divx784 divide Inf 0 -> Infinity -divx785 divide Inf 1 -> Infinity -divx786 divide Inf 1000 -> Infinity -divx787 divide Inf Inf -> NaN Invalid_operation -divx788 divide -1000 Inf -> -0E-398 Clamped -divx789 divide -Inf Inf -> NaN Invalid_operation -divx790 divide -1 Inf -> -0E-398 Clamped -divx791 divide -0 Inf -> -0E-398 Clamped -divx792 divide 0 Inf -> 0E-398 Clamped -divx793 divide 1 Inf -> 0E-398 Clamped -divx794 divide 1000 Inf -> 0E-398 Clamped -divx795 divide Inf Inf -> NaN Invalid_operation - -divx800 divide -Inf -Inf -> NaN Invalid_operation -divx801 divide -Inf -1000 -> Infinity -divx802 divide -Inf -1 -> Infinity -divx803 divide -Inf -0 -> Infinity -divx804 divide -Inf 0 -> -Infinity -divx805 divide -Inf 1 -> -Infinity -divx806 divide -Inf 1000 -> -Infinity -divx807 divide -Inf Inf -> NaN Invalid_operation -divx808 divide -1000 Inf -> -0E-398 Clamped -divx809 divide -Inf -Inf -> NaN Invalid_operation -divx810 divide -1 -Inf -> 0E-398 Clamped -divx811 divide -0 -Inf -> 0E-398 Clamped -divx812 divide 0 -Inf -> -0E-398 Clamped -divx813 divide 1 -Inf -> -0E-398 Clamped -divx814 divide 1000 -Inf -> -0E-398 Clamped -divx815 divide Inf -Inf -> NaN Invalid_operation - -divx821 divide NaN -Inf -> NaN -divx822 divide NaN -1000 -> NaN -divx823 divide NaN -1 -> NaN -divx824 divide NaN -0 -> NaN -divx825 divide NaN 0 -> NaN -divx826 divide NaN 1 -> NaN -divx827 divide NaN 1000 -> NaN -divx828 divide NaN Inf -> NaN -divx829 divide NaN NaN -> NaN -divx830 divide -Inf NaN -> NaN -divx831 divide -1000 NaN -> NaN -divx832 divide -1 NaN -> NaN -divx833 divide -0 NaN -> NaN -divx834 divide 0 NaN -> NaN -divx835 divide 1 NaN -> NaN -divx836 divide 1000 NaN -> NaN -divx837 divide Inf NaN -> NaN - -divx841 divide sNaN -Inf -> NaN Invalid_operation -divx842 divide sNaN -1000 -> NaN Invalid_operation -divx843 divide sNaN -1 -> NaN Invalid_operation -divx844 divide sNaN -0 -> NaN Invalid_operation -divx845 divide sNaN 0 -> NaN Invalid_operation -divx846 divide sNaN 1 -> NaN Invalid_operation -divx847 divide sNaN 1000 -> NaN Invalid_operation -divx848 divide sNaN NaN -> NaN Invalid_operation -divx849 divide sNaN sNaN -> NaN Invalid_operation -divx850 divide NaN sNaN -> NaN Invalid_operation -divx851 divide -Inf sNaN -> NaN Invalid_operation -divx852 divide -1000 sNaN -> NaN Invalid_operation -divx853 divide -1 sNaN -> NaN Invalid_operation -divx854 divide -0 sNaN -> NaN Invalid_operation -divx855 divide 0 sNaN -> NaN Invalid_operation -divx856 divide 1 sNaN -> NaN Invalid_operation -divx857 divide 1000 sNaN -> NaN Invalid_operation -divx858 divide Inf sNaN -> NaN Invalid_operation -divx859 divide NaN sNaN -> NaN Invalid_operation - --- propagating NaNs -divx861 divide NaN9 -Inf -> NaN9 -divx862 divide NaN8 1000 -> NaN8 -divx863 divide NaN7 Inf -> NaN7 -divx864 divide NaN6 NaN5 -> NaN6 -divx865 divide -Inf NaN4 -> NaN4 -divx866 divide -1000 NaN3 -> NaN3 -divx867 divide Inf NaN2 -> NaN2 - -divx871 divide sNaN99 -Inf -> NaN99 Invalid_operation -divx872 divide sNaN98 -1 -> NaN98 Invalid_operation -divx873 divide sNaN97 NaN -> NaN97 Invalid_operation -divx874 divide sNaN96 sNaN94 -> NaN96 Invalid_operation -divx875 divide NaN95 sNaN93 -> NaN93 Invalid_operation -divx876 divide -Inf sNaN92 -> NaN92 Invalid_operation -divx877 divide 0 sNaN91 -> NaN91 Invalid_operation -divx878 divide Inf sNaN90 -> NaN90 Invalid_operation -divx879 divide NaN sNaN89 -> NaN89 Invalid_operation - -divx881 divide -NaN9 -Inf -> -NaN9 -divx882 divide -NaN8 1000 -> -NaN8 -divx883 divide -NaN7 Inf -> -NaN7 -divx884 divide -NaN6 -NaN5 -> -NaN6 -divx885 divide -Inf -NaN4 -> -NaN4 -divx886 divide -1000 -NaN3 -> -NaN3 -divx887 divide Inf -NaN2 -> -NaN2 - -divx891 divide -sNaN99 -Inf -> -NaN99 Invalid_operation -divx892 divide -sNaN98 -1 -> -NaN98 Invalid_operation -divx893 divide -sNaN97 NaN -> -NaN97 Invalid_operation -divx894 divide -sNaN96 -sNaN94 -> -NaN96 Invalid_operation -divx895 divide -NaN95 -sNaN93 -> -NaN93 Invalid_operation -divx896 divide -Inf -sNaN92 -> -NaN92 Invalid_operation -divx897 divide 0 -sNaN91 -> -NaN91 Invalid_operation -divx898 divide Inf -sNaN90 -> -NaN90 Invalid_operation -divx899 divide -NaN -sNaN89 -> -NaN89 Invalid_operation - -maxexponent: 999999999 -minexponent: -999999999 - --- Various flavours of divide by 0 -divx901 divide 0 0 -> NaN Division_undefined -divx902 divide 0.0E5 0 -> NaN Division_undefined -divx903 divide 0.000 0 -> NaN Division_undefined -divx904 divide 0.0001 0 -> Infinity Division_by_zero -divx905 divide 0.01 0 -> Infinity Division_by_zero -divx906 divide 0.1 0 -> Infinity Division_by_zero -divx907 divide 1 0 -> Infinity Division_by_zero -divx908 divide 1 0.0 -> Infinity Division_by_zero -divx909 divide 10 0.0 -> Infinity Division_by_zero -divx910 divide 1E+100 0.0 -> Infinity Division_by_zero -divx911 divide 1E+1000 0 -> Infinity Division_by_zero - -divx921 divide -0.0001 0 -> -Infinity Division_by_zero -divx922 divide -0.01 0 -> -Infinity Division_by_zero -divx923 divide -0.1 0 -> -Infinity Division_by_zero -divx924 divide -1 0 -> -Infinity Division_by_zero -divx925 divide -1 0.0 -> -Infinity Division_by_zero -divx926 divide -10 0.0 -> -Infinity Division_by_zero -divx927 divide -1E+100 0.0 -> -Infinity Division_by_zero -divx928 divide -1E+1000 0 -> -Infinity Division_by_zero - -divx931 divide 0.0001 -0 -> -Infinity Division_by_zero -divx932 divide 0.01 -0 -> -Infinity Division_by_zero -divx933 divide 0.1 -0 -> -Infinity Division_by_zero -divx934 divide 1 -0 -> -Infinity Division_by_zero -divx935 divide 1 -0.0 -> -Infinity Division_by_zero -divx936 divide 10 -0.0 -> -Infinity Division_by_zero -divx937 divide 1E+100 -0.0 -> -Infinity Division_by_zero -divx938 divide 1E+1000 -0 -> -Infinity Division_by_zero - -divx941 divide -0.0001 -0 -> Infinity Division_by_zero -divx942 divide -0.01 -0 -> Infinity Division_by_zero -divx943 divide -0.1 -0 -> Infinity Division_by_zero -divx944 divide -1 -0 -> Infinity Division_by_zero -divx945 divide -1 -0.0 -> Infinity Division_by_zero -divx946 divide -10 -0.0 -> Infinity Division_by_zero -divx947 divide -1E+100 -0.0 -> Infinity Division_by_zero -divx948 divide -1E+1000 -0 -> Infinity Division_by_zero - --- overflow and underflow tests -precision: 9 -maxexponent: 999999999 -minexponent: -999999999 -divx951 divide 9E+999999999 +0.23456789012345E-0 -> Infinity Inexact Overflow Rounded -divx952 divide +0.100 9E+999999999 -> 1.111111E-1000000001 Inexact Rounded Underflow Subnormal -divx953 divide 9E-999999999 +9.100 -> 9.8901099E-1000000000 Inexact Rounded Underflow Subnormal -divx954 divide -1.23456789 9E+999999999 -> -1.3717421E-1000000000 Subnormal -divx955 divide -1.23456789012345E-0 9E+999999999 -> -1.3717421E-1000000000 Underflow Subnormal Rounded Inexact -divx956 divide -1.23456789012345E-0 7E+999999999 -> -1.7636684E-1000000000 Inexact Rounded Underflow Subnormal -divx957 divide 9E+999999999 -0.83456789012345E-0 -> -Infinity Inexact Overflow Rounded -divx958 divide -0.100 9E+999999999 -> -1.111111E-1000000001 Subnormal Inexact Rounded Underflow -divx959 divide 9E-999999999 -9.100 -> -9.8901099E-1000000000 Inexact Rounded Underflow Subnormal - --- overflow and underflow (additional edge tests in multiply.decTest) --- 'subnormal' results now possible (all hard underflow or overflow in --- base arithemtic) -divx960 divide 1e-600000000 1e+400000001 -> 1E-1000000001 Subnormal -divx961 divide 1e-600000000 1e+400000002 -> 1E-1000000002 Subnormal -divx962 divide 1e-600000000 1e+400000003 -> 1E-1000000003 Subnormal -divx963 divide 1e-600000000 1e+400000004 -> 1E-1000000004 Subnormal -divx964 divide 1e-600000000 1e+400000005 -> 1E-1000000005 Subnormal -divx965 divide 1e-600000000 1e+400000006 -> 1E-1000000006 Subnormal -divx966 divide 1e-600000000 1e+400000007 -> 1E-1000000007 Subnormal -divx967 divide 1e-600000000 1e+400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -divx968 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -divx969 divide 1e-600000000 1e+400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped --- [no equivalent of 'subnormal' for overflow] -divx970 divide 1e+600000000 1e-400000001 -> Infinity Overflow Inexact Rounded -divx971 divide 1e+600000000 1e-400000002 -> Infinity Overflow Inexact Rounded -divx972 divide 1e+600000000 1e-400000003 -> Infinity Overflow Inexact Rounded -divx973 divide 1e+600000000 1e-400000004 -> Infinity Overflow Inexact Rounded -divx974 divide 1e+600000000 1e-400000005 -> Infinity Overflow Inexact Rounded -divx975 divide 1e+600000000 1e-400000006 -> Infinity Overflow Inexact Rounded -divx976 divide 1e+600000000 1e-400000007 -> Infinity Overflow Inexact Rounded -divx977 divide 1e+600000000 1e-400000008 -> Infinity Overflow Inexact Rounded -divx978 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded -divx979 divide 1e+600000000 1e-400000010 -> Infinity Overflow Inexact Rounded - --- Sign after overflow and underflow -divx980 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -divx981 divide 1e-600000000 -1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -divx982 divide -1e-600000000 1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -divx983 divide -1e-600000000 -1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -divx984 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded -divx985 divide 1e+600000000 -1e-400000009 -> -Infinity Overflow Inexact Rounded -divx986 divide -1e+600000000 1e-400000009 -> -Infinity Overflow Inexact Rounded -divx987 divide -1e+600000000 -1e-400000009 -> Infinity Overflow Inexact Rounded - --- Long operand overflow may be a different path -precision: 3 -divx990 divide 1000 9.999E-999999999 -> Infinity Inexact Overflow Rounded -divx991 divide 1000 -9.999E-999999999 -> -Infinity Inexact Overflow Rounded -divx992 divide 9.999E+999999999 0.01 -> Infinity Inexact Overflow Rounded -divx993 divide -9.999E+999999999 0.01 -> -Infinity Inexact Overflow Rounded - --- check for double-rounded subnormals -precision: 5 -maxexponent: 79 -minexponent: -79 -divx1001 divide 1.52444E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow -divx1002 divide 1.52445E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow -divx1003 divide 1.52446E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow - --- a rounding problem in one implementation -precision: 34 -rounding: half_up -maxExponent: 6144 -minExponent: -6143 --- Unbounded answer to 40 digits: --- 1.465811965811965811965811965811965811966E+7000 -divx1010 divide 343E6000 234E-1000 -> Infinity Overflow Inexact Rounded - -precision: 34 -rounding: half_up -maxExponent: 6144 -minExponent: -6143 - --- Examples from SQL proposal (Krishna Kulkarni) -precision: 7 -divx1021 divide 1E0 1E0 -> 1 -divx1022 divide 1E0 2E0 -> 0.5 -divx1023 divide 1E0 3E0 -> 0.3333333 Inexact Rounded -divx1024 divide 100E-2 1000E-3 -> 1 -divx1025 divide 24E-1 2E0 -> 1.2 -divx1026 divide 2400E-3 2E0 -> 1.200 -divx1027 divide 5E0 2E0 -> 2.5 -divx1028 divide 5E0 20E-1 -> 2.5 -divx1029 divide 5E0 2000E-3 -> 2.5 -divx1030 divide 5E0 2E-1 -> 25 -divx1031 divide 5E0 20E-2 -> 25 -divx1032 divide 480E-2 3E0 -> 1.60 -divx1033 divide 47E-1 2E0 -> 2.35 - --- ECMAScript bad examples -rounding: half_down -precision: 7 -divx1050 divide 5 9 -> 0.5555556 Inexact Rounded -rounding: half_even -divx1051 divide 5 11 -> 0.4545455 Inexact Rounded - --- payload decapitate -precision: 5 -divx1055 divide sNaN987654321 1 -> NaN54321 Invalid_operation - --- Null tests -divx9998 divide 10 # -> NaN Invalid_operation -divx9999 divide # 10 -> NaN Invalid_operation - |