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