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| author | Raymond Hettinger <python@rcn.com> | 2004-07-01 11:01:35 (GMT) |
|---|---|---|
| committer | Raymond Hettinger <python@rcn.com> | 2004-07-01 11:01:35 (GMT) |
| commit | 7c85fa4a5203912aca564ce719a0fdd0fd5411e5 (patch) | |
| tree | 6e36321b63337cb115f3ef1cdea79a7637b78a84 /Lib/test/decimaltestdata/divide.decTest | |
| parent | 2ccf5d689bc1b893fc89ba3f5131a5f504dff1cd (diff) | |
| download | cpython-7c85fa4a5203912aca564ce719a0fdd0fd5411e5.zip cpython-7c85fa4a5203912aca564ce719a0fdd0fd5411e5.tar.gz cpython-7c85fa4a5203912aca564ce719a0fdd0fd5411e5.tar.bz2 | |
Move Decimal from the sandbox into production.
Diffstat (limited to 'Lib/test/decimaltestdata/divide.decTest')
| -rw-r--r-- | Lib/test/decimaltestdata/divide.decTest | 818 |
1 files changed, 818 insertions, 0 deletions
diff --git a/Lib/test/decimaltestdata/divide.decTest b/Lib/test/decimaltestdata/divide.decTest new file mode 100644 index 0000000..3141b4d --- /dev/null +++ b/Lib/test/decimaltestdata/divide.decTest @@ -0,0 +1,818 @@ +------------------------------------------------------------------------ +-- 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: 2.38 + +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 + |