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✏️ Editing: divide.decTest

------------------------------------------------------------------------
-- 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 arithmetic)
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

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