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divide.decTest
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divide.decTest
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------------------------------------------------------------------------
-- divide.decTest -- decimal division --
-- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. --
-- Parts copyright (c) IBM Corporation, 1981, 2008. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://speleotrove.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, mfc@speleotrove.com --
------------------------------------------------------------------------
version: 2.62
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