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- ------------------------------------------------------------------------
- -- divide.decTest -- decimal division --
- -- Copyright (c) IBM Corporation, 1981, 2004. 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: 2.39
-
- 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 5 2.0 -> 2.5
- divx023 divide 5 2.000 -> 2.5
- divx024 divide 5 0.20 -> 25
- divx025 divide 5 0.200 -> 25
- divx026 divide 10 1 -> 10
- divx027 divide 100 1 -> 100
- divx028 divide 1000 1 -> 1000
- divx029 divide 1000 100 -> 10
-
- divx030 divide 1 2 -> 0.5
- divx031 divide 1 4 -> 0.25
- divx032 divide 1 8 -> 0.125
- divx033 divide 1 16 -> 0.0625
- divx034 divide 1 32 -> 0.03125
- divx035 divide 1 64 -> 0.015625
- divx040 divide 1 -2 -> -0.5
- divx041 divide 1 -4 -> -0.25
- divx042 divide 1 -8 -> -0.125
- divx043 divide 1 -16 -> -0.0625
- divx044 divide 1 -32 -> -0.03125
- divx045 divide 1 -64 -> -0.015625
- divx050 divide -1 2 -> -0.5
- divx051 divide -1 4 -> -0.25
- divx052 divide -1 8 -> -0.125
- divx053 divide -1 16 -> -0.0625
- divx054 divide -1 32 -> -0.03125
- divx055 divide -1 64 -> -0.015625
- divx060 divide -1 -2 -> 0.5
- divx061 divide -1 -4 -> 0.25
- divx062 divide -1 -8 -> 0.125
- divx063 divide -1 -16 -> 0.0625
- divx064 divide -1 -32 -> 0.03125
- divx065 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
- divx968 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
- divx969 divide 1e-600000000 1e+400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
- -- [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
- divx981 divide 1e-600000000 -1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded
- divx982 divide -1e-600000000 1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded
- divx983 divide -1e-600000000 -1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
- 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
-
- -- Null tests
- divx9998 divide 10 # -> NaN Invalid_operation
- divx9999 divide # 10 -> NaN Invalid_operation
-
-