| ------------------------------------------------------------------------ | |
| -- ddDivide.decTest -- decDouble 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 | |
| precision: 16 | |
| maxExponent: 384 | |
| minExponent: -383 | |
| extended: 1 | |
| clamp: 1 | |
| rounding: half_even | |
| -- sanity checks | |
| dddiv001 divide 1 1 -> 1 | |
| dddiv002 divide 2 1 -> 2 | |
| dddiv003 divide 1 2 -> 0.5 | |
| dddiv004 divide 2 2 -> 1 | |
| dddiv005 divide 0 1 -> 0 | |
| dddiv006 divide 0 2 -> 0 | |
| dddiv007 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv008 divide 2 3 -> 0.6666666666666667 Inexact Rounded | |
| dddiv009 divide 3 3 -> 1 | |
| dddiv010 divide 2.4 1 -> 2.4 | |
| dddiv011 divide 2.4 -1 -> -2.4 | |
| dddiv012 divide -2.4 1 -> -2.4 | |
| dddiv013 divide -2.4 -1 -> 2.4 | |
| dddiv014 divide 2.40 1 -> 2.40 | |
| dddiv015 divide 2.400 1 -> 2.400 | |
| dddiv016 divide 2.4 2 -> 1.2 | |
| dddiv017 divide 2.400 2 -> 1.200 | |
| dddiv018 divide 2. 2 -> 1 | |
| dddiv019 divide 20 20 -> 1 | |
| dddiv020 divide 187 187 -> 1 | |
| dddiv021 divide 5 2 -> 2.5 | |
| dddiv022 divide 50 20 -> 2.5 | |
| dddiv023 divide 500 200 -> 2.5 | |
| dddiv024 divide 50.0 20.0 -> 2.5 | |
| dddiv025 divide 5.00 2.00 -> 2.5 | |
| dddiv026 divide 5 2.0 -> 2.5 | |
| dddiv027 divide 5 2.000 -> 2.5 | |
| dddiv028 divide 5 0.20 -> 25 | |
| dddiv029 divide 5 0.200 -> 25 | |
| dddiv030 divide 10 1 -> 10 | |
| dddiv031 divide 100 1 -> 100 | |
| dddiv032 divide 1000 1 -> 1000 | |
| dddiv033 divide 1000 100 -> 10 | |
| dddiv035 divide 1 2 -> 0.5 | |
| dddiv036 divide 1 4 -> 0.25 | |
| dddiv037 divide 1 8 -> 0.125 | |
| dddiv038 divide 1 16 -> 0.0625 | |
| dddiv039 divide 1 32 -> 0.03125 | |
| dddiv040 divide 1 64 -> 0.015625 | |
| dddiv041 divide 1 -2 -> -0.5 | |
| dddiv042 divide 1 -4 -> -0.25 | |
| dddiv043 divide 1 -8 -> -0.125 | |
| dddiv044 divide 1 -16 -> -0.0625 | |
| dddiv045 divide 1 -32 -> -0.03125 | |
| dddiv046 divide 1 -64 -> -0.015625 | |
| dddiv047 divide -1 2 -> -0.5 | |
| dddiv048 divide -1 4 -> -0.25 | |
| dddiv049 divide -1 8 -> -0.125 | |
| dddiv050 divide -1 16 -> -0.0625 | |
| dddiv051 divide -1 32 -> -0.03125 | |
| dddiv052 divide -1 64 -> -0.015625 | |
| dddiv053 divide -1 -2 -> 0.5 | |
| dddiv054 divide -1 -4 -> 0.25 | |
| dddiv055 divide -1 -8 -> 0.125 | |
| dddiv056 divide -1 -16 -> 0.0625 | |
| dddiv057 divide -1 -32 -> 0.03125 | |
| dddiv058 divide -1 -64 -> 0.015625 | |
| -- bcdTime | |
| dddiv060 divide 1 7 -> 0.1428571428571429 Inexact Rounded | |
| dddiv061 divide 1.2345678 1.9876543 -> 0.6211179680490717 Inexact Rounded | |
| -- 1234567890123456 | |
| dddiv071 divide 9999999999999999 1 -> 9999999999999999 | |
| dddiv072 divide 999999999999999 1 -> 999999999999999 | |
| dddiv073 divide 99999999999999 1 -> 99999999999999 | |
| dddiv074 divide 9999999999999 1 -> 9999999999999 | |
| dddiv075 divide 999999999999 1 -> 999999999999 | |
| dddiv076 divide 99999999999 1 -> 99999999999 | |
| dddiv077 divide 9999999999 1 -> 9999999999 | |
| dddiv078 divide 999999999 1 -> 999999999 | |
| dddiv079 divide 99999999 1 -> 99999999 | |
| dddiv080 divide 9999999 1 -> 9999999 | |
| dddiv081 divide 999999 1 -> 999999 | |
| dddiv082 divide 99999 1 -> 99999 | |
| dddiv083 divide 9999 1 -> 9999 | |
| dddiv084 divide 999 1 -> 999 | |
| dddiv085 divide 99 1 -> 99 | |
| dddiv086 divide 9 1 -> 9 | |
| dddiv090 divide 0. 1 -> 0 | |
| dddiv091 divide .0 1 -> 0.0 | |
| dddiv092 divide 0.00 1 -> 0.00 | |
| dddiv093 divide 0.00E+9 1 -> 0E+7 | |
| dddiv094 divide 0.0000E-50 1 -> 0E-54 | |
| dddiv095 divide 1 1E-8 -> 1E+8 | |
| dddiv096 divide 1 1E-9 -> 1E+9 | |
| dddiv097 divide 1 1E-10 -> 1E+10 | |
| dddiv098 divide 1 1E-11 -> 1E+11 | |
| dddiv099 divide 1 1E-12 -> 1E+12 | |
| dddiv100 divide 1 1 -> 1 | |
| dddiv101 divide 1 2 -> 0.5 | |
| dddiv102 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv103 divide 1 4 -> 0.25 | |
| dddiv104 divide 1 5 -> 0.2 | |
| dddiv105 divide 1 6 -> 0.1666666666666667 Inexact Rounded | |
| dddiv106 divide 1 7 -> 0.1428571428571429 Inexact Rounded | |
| dddiv107 divide 1 8 -> 0.125 | |
| dddiv108 divide 1 9 -> 0.1111111111111111 Inexact Rounded | |
| dddiv109 divide 1 10 -> 0.1 | |
| dddiv110 divide 1 1 -> 1 | |
| dddiv111 divide 2 1 -> 2 | |
| dddiv112 divide 3 1 -> 3 | |
| dddiv113 divide 4 1 -> 4 | |
| dddiv114 divide 5 1 -> 5 | |
| dddiv115 divide 6 1 -> 6 | |
| dddiv116 divide 7 1 -> 7 | |
| dddiv117 divide 8 1 -> 8 | |
| dddiv118 divide 9 1 -> 9 | |
| dddiv119 divide 10 1 -> 10 | |
| dddiv120 divide 3E+1 0.001 -> 3E+4 | |
| dddiv121 divide 2.200 2 -> 1.100 | |
| dddiv130 divide 12345 4.999 -> 2469.493898779756 Inexact Rounded | |
| dddiv131 divide 12345 4.99 -> 2473.947895791583 Inexact Rounded | |
| dddiv132 divide 12345 4.9 -> 2519.387755102041 Inexact Rounded | |
| dddiv133 divide 12345 5 -> 2469 | |
| dddiv134 divide 12345 5.1 -> 2420.588235294118 Inexact Rounded | |
| dddiv135 divide 12345 5.01 -> 2464.071856287425 Inexact Rounded | |
| dddiv136 divide 12345 5.001 -> 2468.506298740252 Inexact Rounded | |
| -- test possibly imprecise results | |
| dddiv220 divide 391 597 -> 0.6549413735343384 Inexact Rounded | |
| dddiv221 divide 391 -597 -> -0.6549413735343384 Inexact Rounded | |
| dddiv222 divide -391 597 -> -0.6549413735343384 Inexact Rounded | |
| dddiv223 divide -391 -597 -> 0.6549413735343384 Inexact Rounded | |
| -- test some cases that are close to exponent overflow, some with coefficient padding | |
| dddiv270 divide 1 1e384 -> 1E-384 Subnormal | |
| dddiv271 divide 1 0.9e384 -> 1.11111111111111E-384 Rounded Inexact Subnormal Underflow | |
| dddiv272 divide 1 0.99e384 -> 1.01010101010101E-384 Rounded Inexact Subnormal Underflow | |
| dddiv273 divide 1 0.9999999999999999e384 -> 1.00000000000000E-384 Rounded Inexact Subnormal Underflow | |
| dddiv274 divide 9e384 1 -> 9.000000000000000E+384 Clamped | |
| dddiv275 divide 9.9e384 1 -> 9.900000000000000E+384 Clamped | |
| dddiv276 divide 9.99e384 1 -> 9.990000000000000E+384 Clamped | |
| dddiv277 divide 9.9999999999999e384 1 -> 9.999999999999900E+384 Clamped | |
| dddiv278 divide 9.99999999999999e384 1 -> 9.999999999999990E+384 Clamped | |
| dddiv279 divide 9.999999999999999e384 1 -> 9.999999999999999E+384 | |
| dddiv285 divide 9.9e384 1.1 -> 9.000000000000000E+384 Clamped | |
| dddiv286 divide 9.99e384 1.1 -> 9.081818181818182E+384 Inexact Rounded | |
| dddiv287 divide 9.9999999999999e384 1.1 -> 9.090909090909000E+384 Clamped | |
| dddiv288 divide 9.99999999999999e384 1.1 -> 9.090909090909082E+384 Inexact Rounded | |
| dddiv289 divide 9.999999999999999e384 1.1 -> 9.090909090909090E+384 Clamped | |
| -- Divide into 0 tests | |
| dddiv301 divide 0 7 -> 0 | |
| dddiv302 divide 0 7E-5 -> 0E+5 | |
| dddiv303 divide 0 7E-1 -> 0E+1 | |
| dddiv304 divide 0 7E+1 -> 0.0 | |
| dddiv305 divide 0 7E+5 -> 0.00000 | |
| dddiv306 divide 0 7E+6 -> 0.000000 | |
| dddiv307 divide 0 7E+7 -> 0E-7 | |
| dddiv308 divide 0 70E-5 -> 0E+5 | |
| dddiv309 divide 0 70E-1 -> 0E+1 | |
| dddiv310 divide 0 70E+0 -> 0 | |
| dddiv311 divide 0 70E+1 -> 0.0 | |
| dddiv312 divide 0 70E+5 -> 0.00000 | |
| dddiv313 divide 0 70E+6 -> 0.000000 | |
| dddiv314 divide 0 70E+7 -> 0E-7 | |
| dddiv315 divide 0 700E-5 -> 0E+5 | |
| dddiv316 divide 0 700E-1 -> 0E+1 | |
| dddiv317 divide 0 700E+0 -> 0 | |
| dddiv318 divide 0 700E+1 -> 0.0 | |
| dddiv319 divide 0 700E+5 -> 0.00000 | |
| dddiv320 divide 0 700E+6 -> 0.000000 | |
| dddiv321 divide 0 700E+7 -> 0E-7 | |
| dddiv322 divide 0 700E+77 -> 0E-77 | |
| dddiv331 divide 0E-3 7E-5 -> 0E+2 | |
| dddiv332 divide 0E-3 7E-1 -> 0.00 | |
| dddiv333 divide 0E-3 7E+1 -> 0.0000 | |
| dddiv334 divide 0E-3 7E+5 -> 0E-8 | |
| dddiv335 divide 0E-1 7E-5 -> 0E+4 | |
| dddiv336 divide 0E-1 7E-1 -> 0 | |
| dddiv337 divide 0E-1 7E+1 -> 0.00 | |
| dddiv338 divide 0E-1 7E+5 -> 0.000000 | |
| dddiv339 divide 0E+1 7E-5 -> 0E+6 | |
| dddiv340 divide 0E+1 7E-1 -> 0E+2 | |
| dddiv341 divide 0E+1 7E+1 -> 0 | |
| dddiv342 divide 0E+1 7E+5 -> 0.0000 | |
| dddiv343 divide 0E+3 7E-5 -> 0E+8 | |
| dddiv344 divide 0E+3 7E-1 -> 0E+4 | |
| dddiv345 divide 0E+3 7E+1 -> 0E+2 | |
| dddiv346 divide 0E+3 7E+5 -> 0.00 | |
| -- These were 'input rounding' | |
| dddiv441 divide 12345678000 1 -> 12345678000 | |
| dddiv442 divide 1 12345678000 -> 8.100000664200054E-11 Inexact Rounded | |
| dddiv443 divide 1234567800 1 -> 1234567800 | |
| dddiv444 divide 1 1234567800 -> 8.100000664200054E-10 Inexact Rounded | |
| dddiv445 divide 1234567890 1 -> 1234567890 | |
| dddiv446 divide 1 1234567890 -> 8.100000073710001E-10 Inexact Rounded | |
| dddiv447 divide 1234567891 1 -> 1234567891 | |
| dddiv448 divide 1 1234567891 -> 8.100000067149001E-10 Inexact Rounded | |
| dddiv449 divide 12345678901 1 -> 12345678901 | |
| dddiv450 divide 1 12345678901 -> 8.100000073053901E-11 Inexact Rounded | |
| dddiv451 divide 1234567896 1 -> 1234567896 | |
| dddiv452 divide 1 1234567896 -> 8.100000034344000E-10 Inexact Rounded | |
| -- high-lows | |
| dddiv453 divide 1e+1 1 -> 1E+1 | |
| dddiv454 divide 1e+1 1.0 -> 1E+1 | |
| dddiv455 divide 1e+1 1.00 -> 1E+1 | |
| dddiv456 divide 1e+2 2 -> 5E+1 | |
| dddiv457 divide 1e+2 2.0 -> 5E+1 | |
| dddiv458 divide 1e+2 2.00 -> 5E+1 | |
| -- some from IEEE discussions | |
| dddiv460 divide 3e0 2e0 -> 1.5 | |
| dddiv461 divide 30e-1 2e0 -> 1.5 | |
| dddiv462 divide 300e-2 2e0 -> 1.50 | |
| dddiv464 divide 3000e-3 2e0 -> 1.500 | |
| dddiv465 divide 3e0 20e-1 -> 1.5 | |
| dddiv466 divide 30e-1 20e-1 -> 1.5 | |
| dddiv467 divide 300e-2 20e-1 -> 1.5 | |
| dddiv468 divide 3000e-3 20e-1 -> 1.50 | |
| dddiv469 divide 3e0 200e-2 -> 1.5 | |
| dddiv470 divide 30e-1 200e-2 -> 1.5 | |
| dddiv471 divide 300e-2 200e-2 -> 1.5 | |
| dddiv472 divide 3000e-3 200e-2 -> 1.5 | |
| dddiv473 divide 3e0 2000e-3 -> 1.5 | |
| dddiv474 divide 30e-1 2000e-3 -> 1.5 | |
| dddiv475 divide 300e-2 2000e-3 -> 1.5 | |
| dddiv476 divide 3000e-3 2000e-3 -> 1.5 | |
| -- some reciprocals | |
| dddiv480 divide 1 1.0E+33 -> 1E-33 | |
| dddiv481 divide 1 10E+33 -> 1E-34 | |
| dddiv482 divide 1 1.0E-33 -> 1E+33 | |
| dddiv483 divide 1 10E-33 -> 1E+32 | |
| -- RMS discussion table | |
| dddiv484 divide 0e5 1e3 -> 0E+2 | |
| dddiv485 divide 0e5 2e3 -> 0E+2 | |
| dddiv486 divide 0e5 10e2 -> 0E+3 | |
| dddiv487 divide 0e5 20e2 -> 0E+3 | |
| dddiv488 divide 0e5 100e1 -> 0E+4 | |
| dddiv489 divide 0e5 200e1 -> 0E+4 | |
| dddiv491 divide 1e5 1e3 -> 1E+2 | |
| dddiv492 divide 1e5 2e3 -> 5E+1 | |
| dddiv493 divide 1e5 10e2 -> 1E+2 | |
| dddiv494 divide 1e5 20e2 -> 5E+1 | |
| dddiv495 divide 1e5 100e1 -> 1E+2 | |
| dddiv496 divide 1e5 200e1 -> 5E+1 | |
| -- tryzeros cases | |
| rounding: half_up | |
| dddiv497 divide 0E+380 1000E-13 -> 0E+369 Clamped | |
| dddiv498 divide 0E-390 1000E+13 -> 0E-398 Clamped | |
| rounding: half_up | |
| -- focus on trailing zeros issues | |
| dddiv500 divide 1 9.9 -> 0.1010101010101010 Inexact Rounded | |
| dddiv501 divide 1 9.09 -> 0.1100110011001100 Inexact Rounded | |
| dddiv502 divide 1 9.009 -> 0.1110001110001110 Inexact Rounded | |
| dddiv511 divide 1 2 -> 0.5 | |
| dddiv512 divide 1.0 2 -> 0.5 | |
| dddiv513 divide 1.00 2 -> 0.50 | |
| dddiv514 divide 1.000 2 -> 0.500 | |
| dddiv515 divide 1.0000 2 -> 0.5000 | |
| dddiv516 divide 1.00000 2 -> 0.50000 | |
| dddiv517 divide 1.000000 2 -> 0.500000 | |
| dddiv518 divide 1.0000000 2 -> 0.5000000 | |
| dddiv519 divide 1.00 2.00 -> 0.5 | |
| dddiv521 divide 2 1 -> 2 | |
| dddiv522 divide 2 1.0 -> 2 | |
| dddiv523 divide 2 1.00 -> 2 | |
| dddiv524 divide 2 1.000 -> 2 | |
| dddiv525 divide 2 1.0000 -> 2 | |
| dddiv526 divide 2 1.00000 -> 2 | |
| dddiv527 divide 2 1.000000 -> 2 | |
| dddiv528 divide 2 1.0000000 -> 2 | |
| dddiv529 divide 2.00 1.00 -> 2 | |
| dddiv530 divide 2.40 2 -> 1.20 | |
| dddiv531 divide 2.40 4 -> 0.60 | |
| dddiv532 divide 2.40 10 -> 0.24 | |
| dddiv533 divide 2.40 2.0 -> 1.2 | |
| dddiv534 divide 2.40 4.0 -> 0.6 | |
| dddiv535 divide 2.40 10.0 -> 0.24 | |
| dddiv536 divide 2.40 2.00 -> 1.2 | |
| dddiv537 divide 2.40 4.00 -> 0.6 | |
| dddiv538 divide 2.40 10.00 -> 0.24 | |
| dddiv539 divide 0.9 0.1 -> 9 | |
| dddiv540 divide 0.9 0.01 -> 9E+1 | |
| dddiv541 divide 0.9 0.001 -> 9E+2 | |
| dddiv542 divide 5 2 -> 2.5 | |
| dddiv543 divide 5 2.0 -> 2.5 | |
| dddiv544 divide 5 2.00 -> 2.5 | |
| dddiv545 divide 5 20 -> 0.25 | |
| dddiv546 divide 5 20.0 -> 0.25 | |
| dddiv547 divide 2.400 2 -> 1.200 | |
| dddiv548 divide 2.400 2.0 -> 1.20 | |
| dddiv549 divide 2.400 2.400 -> 1 | |
| dddiv550 divide 240 1 -> 240 | |
| dddiv551 divide 240 10 -> 24 | |
| dddiv552 divide 240 100 -> 2.4 | |
| dddiv553 divide 240 1000 -> 0.24 | |
| dddiv554 divide 2400 1 -> 2400 | |
| dddiv555 divide 2400 10 -> 240 | |
| dddiv556 divide 2400 100 -> 24 | |
| dddiv557 divide 2400 1000 -> 2.4 | |
| -- +ve exponent | |
| dddiv600 divide 2.4E+9 2 -> 1.2E+9 | |
| dddiv601 divide 2.40E+9 2 -> 1.20E+9 | |
| dddiv602 divide 2.400E+9 2 -> 1.200E+9 | |
| dddiv603 divide 2.4000E+9 2 -> 1.2000E+9 | |
| dddiv604 divide 24E+8 2 -> 1.2E+9 | |
| dddiv605 divide 240E+7 2 -> 1.20E+9 | |
| dddiv606 divide 2400E+6 2 -> 1.200E+9 | |
| dddiv607 divide 24000E+5 2 -> 1.2000E+9 | |
| -- more zeros, etc. | |
| dddiv731 divide 5.00 1E-3 -> 5.00E+3 | |
| dddiv732 divide 00.00 0.000 -> NaN Division_undefined | |
| dddiv733 divide 00.00 0E-3 -> NaN Division_undefined | |
| dddiv734 divide 0 -0 -> NaN Division_undefined | |
| dddiv735 divide -0 0 -> NaN Division_undefined | |
| dddiv736 divide -0 -0 -> NaN Division_undefined | |
| dddiv741 divide 0 -1 -> -0 | |
| dddiv742 divide -0 -1 -> 0 | |
| dddiv743 divide 0 1 -> 0 | |
| dddiv744 divide -0 1 -> -0 | |
| dddiv745 divide -1 0 -> -Infinity Division_by_zero | |
| dddiv746 divide -1 -0 -> Infinity Division_by_zero | |
| dddiv747 divide 1 0 -> Infinity Division_by_zero | |
| dddiv748 divide 1 -0 -> -Infinity Division_by_zero | |
| dddiv751 divide 0.0 -1 -> -0.0 | |
| dddiv752 divide -0.0 -1 -> 0.0 | |
| dddiv753 divide 0.0 1 -> 0.0 | |
| dddiv754 divide -0.0 1 -> -0.0 | |
| dddiv755 divide -1.0 0 -> -Infinity Division_by_zero | |
| dddiv756 divide -1.0 -0 -> Infinity Division_by_zero | |
| dddiv757 divide 1.0 0 -> Infinity Division_by_zero | |
| dddiv758 divide 1.0 -0 -> -Infinity Division_by_zero | |
| dddiv761 divide 0 -1.0 -> -0E+1 | |
| dddiv762 divide -0 -1.0 -> 0E+1 | |
| dddiv763 divide 0 1.0 -> 0E+1 | |
| dddiv764 divide -0 1.0 -> -0E+1 | |
| dddiv765 divide -1 0.0 -> -Infinity Division_by_zero | |
| dddiv766 divide -1 -0.0 -> Infinity Division_by_zero | |
| dddiv767 divide 1 0.0 -> Infinity Division_by_zero | |
| dddiv768 divide 1 -0.0 -> -Infinity Division_by_zero | |
| dddiv771 divide 0.0 -1.0 -> -0 | |
| dddiv772 divide -0.0 -1.0 -> 0 | |
| dddiv773 divide 0.0 1.0 -> 0 | |
| dddiv774 divide -0.0 1.0 -> -0 | |
| dddiv775 divide -1.0 0.0 -> -Infinity Division_by_zero | |
| dddiv776 divide -1.0 -0.0 -> Infinity Division_by_zero | |
| dddiv777 divide 1.0 0.0 -> Infinity Division_by_zero | |
| dddiv778 divide 1.0 -0.0 -> -Infinity Division_by_zero | |
| -- Specials | |
| dddiv780 divide Inf -Inf -> NaN Invalid_operation | |
| dddiv781 divide Inf -1000 -> -Infinity | |
| dddiv782 divide Inf -1 -> -Infinity | |
| dddiv783 divide Inf -0 -> -Infinity | |
| dddiv784 divide Inf 0 -> Infinity | |
| dddiv785 divide Inf 1 -> Infinity | |
| dddiv786 divide Inf 1000 -> Infinity | |
| dddiv787 divide Inf Inf -> NaN Invalid_operation | |
| dddiv788 divide -1000 Inf -> -0E-398 Clamped | |
| dddiv789 divide -Inf Inf -> NaN Invalid_operation | |
| dddiv790 divide -1 Inf -> -0E-398 Clamped | |
| dddiv791 divide -0 Inf -> -0E-398 Clamped | |
| dddiv792 divide 0 Inf -> 0E-398 Clamped | |
| dddiv793 divide 1 Inf -> 0E-398 Clamped | |
| dddiv794 divide 1000 Inf -> 0E-398 Clamped | |
| dddiv795 divide Inf Inf -> NaN Invalid_operation | |
| dddiv800 divide -Inf -Inf -> NaN Invalid_operation | |
| dddiv801 divide -Inf -1000 -> Infinity | |
| dddiv802 divide -Inf -1 -> Infinity | |
| dddiv803 divide -Inf -0 -> Infinity | |
| dddiv804 divide -Inf 0 -> -Infinity | |
| dddiv805 divide -Inf 1 -> -Infinity | |
| dddiv806 divide -Inf 1000 -> -Infinity | |
| dddiv807 divide -Inf Inf -> NaN Invalid_operation | |
| dddiv808 divide -1000 Inf -> -0E-398 Clamped | |
| dddiv809 divide -Inf -Inf -> NaN Invalid_operation | |
| dddiv810 divide -1 -Inf -> 0E-398 Clamped | |
| dddiv811 divide -0 -Inf -> 0E-398 Clamped | |
| dddiv812 divide 0 -Inf -> -0E-398 Clamped | |
| dddiv813 divide 1 -Inf -> -0E-398 Clamped | |
| dddiv814 divide 1000 -Inf -> -0E-398 Clamped | |
| dddiv815 divide Inf -Inf -> NaN Invalid_operation | |
| dddiv821 divide NaN -Inf -> NaN | |
| dddiv822 divide NaN -1000 -> NaN | |
| dddiv823 divide NaN -1 -> NaN | |
| dddiv824 divide NaN -0 -> NaN | |
| dddiv825 divide NaN 0 -> NaN | |
| dddiv826 divide NaN 1 -> NaN | |
| dddiv827 divide NaN 1000 -> NaN | |
| dddiv828 divide NaN Inf -> NaN | |
| dddiv829 divide NaN NaN -> NaN | |
| dddiv830 divide -Inf NaN -> NaN | |
| dddiv831 divide -1000 NaN -> NaN | |
| dddiv832 divide -1 NaN -> NaN | |
| dddiv833 divide -0 NaN -> NaN | |
| dddiv834 divide 0 NaN -> NaN | |
| dddiv835 divide 1 NaN -> NaN | |
| dddiv836 divide 1000 NaN -> NaN | |
| dddiv837 divide Inf NaN -> NaN | |
| dddiv841 divide sNaN -Inf -> NaN Invalid_operation | |
| dddiv842 divide sNaN -1000 -> NaN Invalid_operation | |
| dddiv843 divide sNaN -1 -> NaN Invalid_operation | |
| dddiv844 divide sNaN -0 -> NaN Invalid_operation | |
| dddiv845 divide sNaN 0 -> NaN Invalid_operation | |
| dddiv846 divide sNaN 1 -> NaN Invalid_operation | |
| dddiv847 divide sNaN 1000 -> NaN Invalid_operation | |
| dddiv848 divide sNaN NaN -> NaN Invalid_operation | |
| dddiv849 divide sNaN sNaN -> NaN Invalid_operation | |
| dddiv850 divide NaN sNaN -> NaN Invalid_operation | |
| dddiv851 divide -Inf sNaN -> NaN Invalid_operation | |
| dddiv852 divide -1000 sNaN -> NaN Invalid_operation | |
| dddiv853 divide -1 sNaN -> NaN Invalid_operation | |
| dddiv854 divide -0 sNaN -> NaN Invalid_operation | |
| dddiv855 divide 0 sNaN -> NaN Invalid_operation | |
| dddiv856 divide 1 sNaN -> NaN Invalid_operation | |
| dddiv857 divide 1000 sNaN -> NaN Invalid_operation | |
| dddiv858 divide Inf sNaN -> NaN Invalid_operation | |
| dddiv859 divide NaN sNaN -> NaN Invalid_operation | |
| -- propagating NaNs | |
| dddiv861 divide NaN9 -Inf -> NaN9 | |
| dddiv862 divide NaN8 1000 -> NaN8 | |
| dddiv863 divide NaN7 Inf -> NaN7 | |
| dddiv864 divide NaN6 NaN5 -> NaN6 | |
| dddiv865 divide -Inf NaN4 -> NaN4 | |
| dddiv866 divide -1000 NaN3 -> NaN3 | |
| dddiv867 divide Inf NaN2 -> NaN2 | |
| dddiv871 divide sNaN99 -Inf -> NaN99 Invalid_operation | |
| dddiv872 divide sNaN98 -1 -> NaN98 Invalid_operation | |
| dddiv873 divide sNaN97 NaN -> NaN97 Invalid_operation | |
| dddiv874 divide sNaN96 sNaN94 -> NaN96 Invalid_operation | |
| dddiv875 divide NaN95 sNaN93 -> NaN93 Invalid_operation | |
| dddiv876 divide -Inf sNaN92 -> NaN92 Invalid_operation | |
| dddiv877 divide 0 sNaN91 -> NaN91 Invalid_operation | |
| dddiv878 divide Inf sNaN90 -> NaN90 Invalid_operation | |
| dddiv879 divide NaN sNaN89 -> NaN89 Invalid_operation | |
| dddiv881 divide -NaN9 -Inf -> -NaN9 | |
| dddiv882 divide -NaN8 1000 -> -NaN8 | |
| dddiv883 divide -NaN7 Inf -> -NaN7 | |
| dddiv884 divide -NaN6 -NaN5 -> -NaN6 | |
| dddiv885 divide -Inf -NaN4 -> -NaN4 | |
| dddiv886 divide -1000 -NaN3 -> -NaN3 | |
| dddiv887 divide Inf -NaN2 -> -NaN2 | |
| dddiv891 divide -sNaN99 -Inf -> -NaN99 Invalid_operation | |
| dddiv892 divide -sNaN98 -1 -> -NaN98 Invalid_operation | |
| dddiv893 divide -sNaN97 NaN -> -NaN97 Invalid_operation | |
| dddiv894 divide -sNaN96 -sNaN94 -> -NaN96 Invalid_operation | |
| dddiv895 divide -NaN95 -sNaN93 -> -NaN93 Invalid_operation | |
| dddiv896 divide -Inf -sNaN92 -> -NaN92 Invalid_operation | |
| dddiv897 divide 0 -sNaN91 -> -NaN91 Invalid_operation | |
| dddiv898 divide Inf -sNaN90 -> -NaN90 Invalid_operation | |
| dddiv899 divide -NaN -sNaN89 -> -NaN89 Invalid_operation | |
| -- Various flavours of divide by 0 | |
| dddiv901 divide 0 0 -> NaN Division_undefined | |
| dddiv902 divide 0.0E5 0 -> NaN Division_undefined | |
| dddiv903 divide 0.000 0 -> NaN Division_undefined | |
| dddiv904 divide 0.0001 0 -> Infinity Division_by_zero | |
| dddiv905 divide 0.01 0 -> Infinity Division_by_zero | |
| dddiv906 divide 0.1 0 -> Infinity Division_by_zero | |
| dddiv907 divide 1 0 -> Infinity Division_by_zero | |
| dddiv908 divide 1 0.0 -> Infinity Division_by_zero | |
| dddiv909 divide 10 0.0 -> Infinity Division_by_zero | |
| dddiv910 divide 1E+100 0.0 -> Infinity Division_by_zero | |
| dddiv911 divide 1E+100 0 -> Infinity Division_by_zero | |
| dddiv921 divide -0.0001 0 -> -Infinity Division_by_zero | |
| dddiv922 divide -0.01 0 -> -Infinity Division_by_zero | |
| dddiv923 divide -0.1 0 -> -Infinity Division_by_zero | |
| dddiv924 divide -1 0 -> -Infinity Division_by_zero | |
| dddiv925 divide -1 0.0 -> -Infinity Division_by_zero | |
| dddiv926 divide -10 0.0 -> -Infinity Division_by_zero | |
| dddiv927 divide -1E+100 0.0 -> -Infinity Division_by_zero | |
| dddiv928 divide -1E+100 0 -> -Infinity Division_by_zero | |
| dddiv931 divide 0.0001 -0 -> -Infinity Division_by_zero | |
| dddiv932 divide 0.01 -0 -> -Infinity Division_by_zero | |
| dddiv933 divide 0.1 -0 -> -Infinity Division_by_zero | |
| dddiv934 divide 1 -0 -> -Infinity Division_by_zero | |
| dddiv935 divide 1 -0.0 -> -Infinity Division_by_zero | |
| dddiv936 divide 10 -0.0 -> -Infinity Division_by_zero | |
| dddiv937 divide 1E+100 -0.0 -> -Infinity Division_by_zero | |
| dddiv938 divide 1E+100 -0 -> -Infinity Division_by_zero | |
| dddiv941 divide -0.0001 -0 -> Infinity Division_by_zero | |
| dddiv942 divide -0.01 -0 -> Infinity Division_by_zero | |
| dddiv943 divide -0.1 -0 -> Infinity Division_by_zero | |
| dddiv944 divide -1 -0 -> Infinity Division_by_zero | |
| dddiv945 divide -1 -0.0 -> Infinity Division_by_zero | |
| dddiv946 divide -10 -0.0 -> Infinity Division_by_zero | |
| dddiv947 divide -1E+100 -0.0 -> Infinity Division_by_zero | |
| dddiv948 divide -1E+100 -0 -> Infinity Division_by_zero | |
| -- Examples from SQL proposal (Krishna Kulkarni) | |
| dddiv1021 divide 1E0 1E0 -> 1 | |
| dddiv1022 divide 1E0 2E0 -> 0.5 | |
| dddiv1023 divide 1E0 3E0 -> 0.3333333333333333 Inexact Rounded | |
| dddiv1024 divide 100E-2 1000E-3 -> 1 | |
| dddiv1025 divide 24E-1 2E0 -> 1.2 | |
| dddiv1026 divide 2400E-3 2E0 -> 1.200 | |
| dddiv1027 divide 5E0 2E0 -> 2.5 | |
| dddiv1028 divide 5E0 20E-1 -> 2.5 | |
| dddiv1029 divide 5E0 2000E-3 -> 2.5 | |
| dddiv1030 divide 5E0 2E-1 -> 25 | |
| dddiv1031 divide 5E0 20E-2 -> 25 | |
| dddiv1032 divide 480E-2 3E0 -> 1.60 | |
| dddiv1033 divide 47E-1 2E0 -> 2.35 | |
| -- ECMAScript bad examples | |
| rounding: half_down | |
| dddiv1040 divide 5 9 -> 0.5555555555555556 Inexact Rounded | |
| rounding: half_even | |
| dddiv1041 divide 6 11 -> 0.5454545454545455 Inexact Rounded | |
| -- overflow and underflow tests .. note subnormal results | |
| -- signs | |
| dddiv1051 divide 1e+277 1e-311 -> Infinity Overflow Inexact Rounded | |
| dddiv1052 divide 1e+277 -1e-311 -> -Infinity Overflow Inexact Rounded | |
| dddiv1053 divide -1e+277 1e-311 -> -Infinity Overflow Inexact Rounded | |
| dddiv1054 divide -1e+277 -1e-311 -> Infinity Overflow Inexact Rounded | |
| dddiv1055 divide 1e-277 1e+311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1056 divide 1e-277 -1e+311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1057 divide -1e-277 1e+311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1058 divide -1e-277 -1e+311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) | |
| dddiv1060 divide 1e-291 1e+101 -> 1E-392 Subnormal | |
| dddiv1061 divide 1e-291 1e+102 -> 1E-393 Subnormal | |
| dddiv1062 divide 1e-291 1e+103 -> 1E-394 Subnormal | |
| dddiv1063 divide 1e-291 1e+104 -> 1E-395 Subnormal | |
| dddiv1064 divide 1e-291 1e+105 -> 1E-396 Subnormal | |
| dddiv1065 divide 1e-291 1e+106 -> 1E-397 Subnormal | |
| dddiv1066 divide 1e-291 1e+107 -> 1E-398 Subnormal | |
| dddiv1067 divide 1e-291 1e+108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1068 divide 1e-291 1e+109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1069 divide 1e-291 1e+110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| -- [no equivalent of 'subnormal' for overflow] | |
| dddiv1070 divide 1e+60 1e-321 -> 1.000000000000E+381 Clamped | |
| dddiv1071 divide 1e+60 1e-322 -> 1.0000000000000E+382 Clamped | |
| dddiv1072 divide 1e+60 1e-323 -> 1.00000000000000E+383 Clamped | |
| dddiv1073 divide 1e+60 1e-324 -> 1.000000000000000E+384 Clamped | |
| dddiv1074 divide 1e+60 1e-325 -> Infinity Overflow Inexact Rounded | |
| dddiv1075 divide 1e+60 1e-326 -> Infinity Overflow Inexact Rounded | |
| dddiv1076 divide 1e+60 1e-327 -> Infinity Overflow Inexact Rounded | |
| dddiv1077 divide 1e+60 1e-328 -> Infinity Overflow Inexact Rounded | |
| dddiv1078 divide 1e+60 1e-329 -> Infinity Overflow Inexact Rounded | |
| dddiv1079 divide 1e+60 1e-330 -> Infinity Overflow Inexact Rounded | |
| dddiv1101 divide 1.0000E-394 1 -> 1.0000E-394 Subnormal | |
| dddiv1102 divide 1.000E-394 1e+1 -> 1.000E-395 Subnormal | |
| dddiv1103 divide 1.00E-394 1e+2 -> 1.00E-396 Subnormal | |
| dddiv1104 divide 1.0E-394 1e+3 -> 1.0E-397 Subnormal | |
| dddiv1105 divide 1.0E-394 1e+4 -> 1E-398 Subnormal Rounded | |
| dddiv1106 divide 1.3E-394 1e+4 -> 1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1107 divide 1.5E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1108 divide 1.7E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1109 divide 2.3E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1110 divide 2.5E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1111 divide 2.7E-394 1e+4 -> 3E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1112 divide 1.49E-394 1e+4 -> 1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1113 divide 1.50E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1114 divide 1.51E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1115 divide 2.49E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1116 divide 2.50E-394 1e+4 -> 2E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1117 divide 2.51E-394 1e+4 -> 3E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1118 divide 1E-394 1e+4 -> 1E-398 Subnormal | |
| dddiv1119 divide 3E-394 1e+5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1120 divide 5E-394 1e+5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1121 divide 7E-394 1e+5 -> 1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1122 divide 9E-394 1e+5 -> 1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1123 divide 9.9E-394 1e+5 -> 1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1124 divide 1E-394 -1e+4 -> -1E-398 Subnormal | |
| dddiv1125 divide 3E-394 -1e+5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1126 divide -5E-394 1e+5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1127 divide 7E-394 -1e+5 -> -1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1128 divide -9E-394 1e+5 -> -1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1129 divide 9.9E-394 -1e+5 -> -1E-398 Underflow Subnormal Inexact Rounded | |
| dddiv1130 divide 3.0E-394 -1e+5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1131 divide 1.0E-199 1e+200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped | |
| dddiv1132 divide 1.0E-199 1e+199 -> 1E-398 Subnormal Rounded | |
| dddiv1133 divide 1.0E-199 1e+198 -> 1.0E-397 Subnormal | |
| dddiv1134 divide 2.0E-199 2e+198 -> 1.0E-397 Subnormal | |
| dddiv1135 divide 4.0E-199 4e+198 -> 1.0E-397 Subnormal | |
| dddiv1136 divide 10.0E-199 10e+198 -> 1.0E-397 Subnormal | |
| dddiv1137 divide 30.0E-199 30e+198 -> 1.0E-397 Subnormal | |
| -- randoms | |
| dddiv2010 divide -3.303226714900711E-35 8.796578842713183E+73 -> -3.755126594058783E-109 Inexact Rounded | |
| dddiv2011 divide 933153327821073.6 68782181090246.25 -> 13.56678885475763 Inexact Rounded | |
| dddiv2012 divide 5.04752436057906E-72 -8.179481771238642E+64 -> -6.170958627632835E-137 Inexact Rounded | |
| dddiv2013 divide -3707613309582318 3394911196503.048 -> -1092.109070010836 Inexact Rounded | |
| dddiv2014 divide 99689.0555190461 -4.735208553891464 -> -21052.72753765411 Inexact Rounded | |
| dddiv2015 divide -1447915775613329 269750797.8184875 -> -5367605.164925653 Inexact Rounded | |
| dddiv2016 divide -9.394881304225258E-19 -830585.0252671636 -> 1.131116143251358E-24 Inexact Rounded | |
| dddiv2017 divide -1.056283432738934 88.58754555124013 -> -0.01192361100159352 Inexact Rounded | |
| dddiv2018 divide 5763220933343.081 689089567025052.1 -> 0.008363529516524456 Inexact Rounded | |
| dddiv2019 divide 873819.122103216 9.740612494523300E-49 -> 8.970884763093948E+53 Inexact Rounded | |
| dddiv2020 divide 8022914.838533576 6178.566801742713 -> 1298.507420243583 Inexact Rounded | |
| dddiv2021 divide 203982.7605650363 -2158.283639053435 -> -94.51156320422168 Inexact Rounded | |
| dddiv2022 divide 803.6310547013030 7101143795399.238 -> 1.131692411611166E-10 Inexact Rounded | |
| dddiv2023 divide 9.251697842123399E-82 -1.342350220606119E-7 -> -6.892163982321936E-75 Inexact Rounded | |
| dddiv2024 divide -1.980600645637992E-53 -5.474262753214457E+77 -> 3.618022617703168E-131 Inexact Rounded | |
| dddiv2025 divide -210.0322996351690 -8.580951835872843E+80 -> 2.447657365434971E-79 Inexact Rounded | |
| dddiv2026 divide -1.821980314020370E+85 -3.018915267138165 -> 6.035215144503042E+84 Inexact Rounded | |
| dddiv2027 divide -772264503601.1047 5.158258271408988E-86 -> -1.497141986630614E+97 Inexact Rounded | |
| dddiv2028 divide -767.0532415847106 2.700027228028939E-59 -> -2.840909282772941E+61 Inexact Rounded | |
| dddiv2029 divide 496724.8548250093 7.32700588163100E+66 -> 6.779370220929013E-62 Inexact Rounded | |
| dddiv2030 divide -304232651447703.9 -108.9730808657440 -> 2791814721862.565 Inexact Rounded | |
| dddiv2031 divide -7.233817192699405E+42 -5711302004.149411 -> 1.266579352211430E+33 Inexact Rounded | |
| dddiv2032 divide -9.999221444912745E+96 4010569406446197 -> -2.493217404202250E+81 Inexact Rounded | |
| dddiv2033 divide -1837272.061937622 8.356322838066762 -> -219866.0939196882 Inexact Rounded | |
| dddiv2034 divide 2168.517555606529 209.1910258615061 -> 10.36620737756784 Inexact Rounded | |
| dddiv2035 divide -1.884389790576371E+88 2.95181953870583E+20 -> -6.383824505079828E+67 Inexact Rounded | |
| dddiv2036 divide 732263.6037438196 961222.3634446889 -> 0.7618045850698269 Inexact Rounded | |
| dddiv2037 divide -813461419.0348336 5.376293753809143E+84 -> -1.513052404285927E-76 Inexact Rounded | |
| dddiv2038 divide -45562133508108.50 -9.776843494690107E+51 -> 4.660208945029519E-39 Inexact Rounded | |
| dddiv2039 divide -6.489393172441016E+80 -9101965.097852113 -> 7.129661674897421E+73 Inexact Rounded | |
| dddiv2040 divide 3.694576237117349E+93 6683512.012622003 -> 5.527896456443912E+86 Inexact Rounded | |
| dddiv2041 divide -2.252877726403272E+19 -7451913256.181367 -> 3023220546.125531 Inexact Rounded | |
| dddiv2042 divide 518303.1989111842 50.01587020474133 -> 10362.77479107123 Inexact Rounded | |
| dddiv2043 divide 2.902087881880103E+24 33.32400992305702 -> 8.708699488989578E+22 Inexact Rounded | |
| dddiv2044 divide 549619.4559510557 1660824845196338 -> 3.309316196351104E-10 Inexact Rounded | |
| dddiv2045 divide -6775670774684043 8292152023.077262 -> -817118.4941891062 Inexact Rounded | |
| dddiv2046 divide -77.50923921524079 -5.636882655425815E+74 -> 1.375037302588405E-73 Inexact Rounded | |
| dddiv2047 divide -2.984889459605149E-10 -88106156784122.99 -> 3.387833005721384E-24 Inexact Rounded | |
| dddiv2048 divide 0.949517293997085 44767115.96450998 -> 2.121015110175589E-8 Inexact Rounded | |
| dddiv2049 divide -2760937211.084521 -1087015876975408 -> 0.000002539923537057024 Inexact Rounded | |
| dddiv2050 divide 28438351.85030536 -4.209397904088624E-47 -> -6.755919135770688E+53 Inexact Rounded | |
| dddiv2051 divide -85562731.6820956 -7.166045442530185E+45 -> 1.194002080621542E-38 Inexact Rounded | |
| dddiv2052 divide 2533802852165.25 7154.119606235955 -> 354173957.3317501 Inexact Rounded | |
| dddiv2053 divide -8858831346851.474 97.59734208801716 -> -90769186509.83577 Inexact Rounded | |
| dddiv2054 divide 176783629801387.5 840073263.3109817 -> 210438.3480848206 Inexact Rounded | |
| dddiv2055 divide -493506471796175.6 79733894790822.03 -> -6.189418854940746 Inexact Rounded | |
| dddiv2056 divide 790.1682542103445 829.9449370367435 -> 0.9520731062371214 Inexact Rounded | |
| dddiv2057 divide -8920459838.583164 -4767.889187899214 -> 1870945.294035581 Inexact Rounded | |
| dddiv2058 divide 53536687164422.1 53137.5007032689 -> 1007512330.385698 Inexact Rounded | |
| dddiv2059 divide 4.051532311146561E-74 -2.343089768972261E+94 -> -1.729140882606332E-168 Inexact Rounded | |
| dddiv2060 divide -14847758778636.88 3.062543516383807E-43 -> -4.848178874587497E+55 Inexact Rounded | |
| -- Division probably has pre-rounding, so need to test rounding | |
| -- explicitly rather than assume included through other tests; | |
| -- tests include simple rounding and also the tricky cases of sticky | |
| -- bits following two zeros | |
| -- | |
| -- 1/99999 gives 0.0000100001000010000100001000010000100001 | |
| -- 1234567890123456 | |
| -- | |
| -- 1/999999 gives 0.000001000001000001000001000001000001000001 | |
| -- 1234567890123456 | |
| rounding: ceiling | |
| dddiv3001 divide 1 3 -> 0.3333333333333334 Inexact Rounded | |
| dddiv3002 divide 2 3 -> 0.6666666666666667 Inexact Rounded | |
| dddiv3003 divide 1 99999 -> 0.00001000010000100002 Inexact Rounded | |
| dddiv3004 divide 1 999999 -> 0.000001000001000001001 Inexact Rounded | |
| rounding: floor | |
| dddiv3011 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv3012 divide 2 3 -> 0.6666666666666666 Inexact Rounded | |
| dddiv3013 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded | |
| dddiv3014 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded | |
| rounding: up | |
| dddiv3021 divide 1 3 -> 0.3333333333333334 Inexact Rounded | |
| dddiv3022 divide 2 3 -> 0.6666666666666667 Inexact Rounded | |
| dddiv3023 divide 1 99999 -> 0.00001000010000100002 Inexact Rounded | |
| dddiv3024 divide 1 999999 -> 0.000001000001000001001 Inexact Rounded | |
| rounding: down | |
| dddiv3031 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv3032 divide 2 3 -> 0.6666666666666666 Inexact Rounded | |
| dddiv3033 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded | |
| dddiv3034 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded | |
| rounding: half_up | |
| dddiv3041 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv3042 divide 2 3 -> 0.6666666666666667 Inexact Rounded | |
| dddiv3043 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded | |
| dddiv3044 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded | |
| rounding: half_down | |
| dddiv3051 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv3052 divide 2 3 -> 0.6666666666666667 Inexact Rounded | |
| dddiv3053 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded | |
| dddiv3054 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded | |
| rounding: half_even | |
| dddiv3061 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv3062 divide 2 3 -> 0.6666666666666667 Inexact Rounded | |
| dddiv3063 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded | |
| dddiv3064 divide 1 999999 -> 0.000001000001000001000 Inexact Rounded | |
| rounding: 05up | |
| dddiv3071 divide 1 3 -> 0.3333333333333333 Inexact Rounded | |
| dddiv3072 divide 2 3 -> 0.6666666666666666 Inexact Rounded | |
| dddiv3073 divide 1 99999 -> 0.00001000010000100001 Inexact Rounded | |
| dddiv3074 divide 1 999999 -> 0.000001000001000001001 Inexact Rounded | |
| -- random divide tests with result near 1 | |
| rounding: half_even | |
| dddiv4001 divide 3195385192916917 3195385192946695 -> 0.9999999999906809 Inexact Rounded | |
| dddiv4002 divide 1393723067526993 1393723067519475 -> 1.000000000005394 Inexact Rounded | |
| dddiv4003 divide 759985543702302 759985543674015 -> 1.000000000037220 Inexact Rounded | |
| dddiv4004 divide 9579158456027302 9579158456036864 -> 0.9999999999990018 Inexact Rounded | |
| dddiv4005 divide 7079398299143569 7079398299156904 -> 0.9999999999981164 Inexact Rounded | |
| dddiv4006 divide 6636169255366598 6636169255336386 -> 1.000000000004553 Inexact Rounded | |
| dddiv4007 divide 6964813971340090 6964813971321554 -> 1.000000000002661 Inexact Rounded | |
| dddiv4008 divide 4182275225480784 4182275225454009 -> 1.000000000006402 Inexact Rounded | |
| dddiv4009 divide 9228325124938029 9228325124918730 -> 1.000000000002091 Inexact Rounded | |
| dddiv4010 divide 3428346338630192 3428346338609843 -> 1.000000000005936 Inexact Rounded | |
| dddiv4011 divide 2143511550722893 2143511550751754 -> 0.9999999999865356 Inexact Rounded | |
| dddiv4012 divide 1672732924396785 1672732924401811 -> 0.9999999999969953 Inexact Rounded | |
| dddiv4013 divide 4190714611948216 4190714611948664 -> 0.9999999999998931 Inexact Rounded | |
| dddiv4014 divide 3942254800848877 3942254800814556 -> 1.000000000008706 Inexact Rounded | |
| dddiv4015 divide 2854459826952334 2854459826960762 -> 0.9999999999970474 Inexact Rounded | |
| dddiv4016 divide 2853258953664731 2853258953684471 -> 0.9999999999930816 Inexact Rounded | |
| dddiv4017 divide 9453512638125978 9453512638146425 -> 0.9999999999978371 Inexact Rounded | |
| dddiv4018 divide 339476633940369 339476633912887 -> 1.000000000080954 Inexact Rounded | |
| dddiv4019 divide 4542181492688467 4542181492697735 -> 0.9999999999979596 Inexact Rounded | |
| dddiv4020 divide 7312600192399197 7312600192395424 -> 1.000000000000516 Inexact Rounded | |
| dddiv4021 divide 1811674985570111 1811674985603935 -> 0.9999999999813300 Inexact Rounded | |
| dddiv4022 divide 1706462639003481 1706462639017740 -> 0.9999999999916441 Inexact Rounded | |
| dddiv4023 divide 6697052654940368 6697052654934110 -> 1.000000000000934 Inexact Rounded | |
| dddiv4024 divide 5015283664277539 5015283664310719 -> 0.9999999999933842 Inexact Rounded | |
| dddiv4025 divide 2359501561537464 2359501561502464 -> 1.000000000014834 Inexact Rounded | |
| dddiv4026 divide 2669850227909157 2669850227901548 -> 1.000000000002850 Inexact Rounded | |
| dddiv4027 divide 9329725546974648 9329725547002445 -> 0.9999999999970206 Inexact Rounded | |
| dddiv4028 divide 3228562867071248 3228562867106206 -> 0.9999999999891723 Inexact Rounded | |
| dddiv4029 divide 4862226644921175 4862226644909380 -> 1.000000000002426 Inexact Rounded | |
| dddiv4030 divide 1022267997054529 1022267997071329 -> 0.9999999999835660 Inexact Rounded | |
| dddiv4031 divide 1048777482023719 1048777482000948 -> 1.000000000021712 Inexact Rounded | |
| dddiv4032 divide 9980113777337098 9980113777330539 -> 1.000000000000657 Inexact Rounded | |
| dddiv4033 divide 7506839167963908 7506839167942901 -> 1.000000000002798 Inexact Rounded | |
| dddiv4034 divide 231119751977860 231119751962453 -> 1.000000000066662 Inexact Rounded | |
| dddiv4035 divide 4034903664762962 4034903664795526 -> 0.9999999999919294 Inexact Rounded | |
| dddiv4036 divide 5700122152274696 5700122152251386 -> 1.000000000004089 Inexact Rounded | |
| dddiv4037 divide 6869599590293110 6869599590293495 -> 0.9999999999999440 Inexact Rounded | |
| dddiv4038 divide 5576281960092797 5576281960105579 -> 0.9999999999977078 Inexact Rounded | |
| dddiv4039 divide 2304844888381318 2304844888353073 -> 1.000000000012255 Inexact Rounded | |
| dddiv4040 divide 3265933651656452 3265933651682779 -> 0.9999999999919389 Inexact Rounded | |
| dddiv4041 divide 5235714985079914 5235714985066131 -> 1.000000000002632 Inexact Rounded | |
| dddiv4042 divide 5578481572827551 5578481572822945 -> 1.000000000000826 Inexact Rounded | |
| dddiv4043 divide 4909616081396134 4909616081373076 -> 1.000000000004696 Inexact Rounded | |
| dddiv4044 divide 636447224349537 636447224338757 -> 1.000000000016938 Inexact Rounded | |
| dddiv4045 divide 1539373428396640 1539373428364727 -> 1.000000000020731 Inexact Rounded | |
| dddiv4046 divide 2028786707377893 2028786707378866 -> 0.9999999999995204 Inexact Rounded | |
| dddiv4047 divide 137643260486222 137643260487419 -> 0.9999999999913036 Inexact Rounded | |
| dddiv4048 divide 247451519746765 247451519752267 -> 0.9999999999777653 Inexact Rounded | |
| dddiv4049 divide 7877858475022054 7877858474999794 -> 1.000000000002826 Inexact Rounded | |
| dddiv4050 divide 7333242694766258 7333242694744628 -> 1.000000000002950 Inexact Rounded | |
| dddiv4051 divide 124051503698592 124051503699397 -> 0.9999999999935108 Inexact Rounded | |
| dddiv4052 divide 8944737432385188 8944737432406860 -> 0.9999999999975771 Inexact Rounded | |
| dddiv4053 divide 9883948923406874 9883948923424843 -> 0.9999999999981820 Inexact Rounded | |
| dddiv4054 divide 6829178741654284 6829178741671973 -> 0.9999999999974098 Inexact Rounded | |
| dddiv4055 divide 7342752479768122 7342752479793385 -> 0.9999999999965595 Inexact Rounded | |
| dddiv4056 divide 8066426579008783 8066426578977563 -> 1.000000000003870 Inexact Rounded | |
| dddiv4057 divide 8992775071383295 8992775071352712 -> 1.000000000003401 Inexact Rounded | |
| dddiv4058 divide 5485011755545641 5485011755543611 -> 1.000000000000370 Inexact Rounded | |
| dddiv4059 divide 5779983054353918 5779983054365300 -> 0.9999999999980308 Inexact Rounded | |
| dddiv4060 divide 9502265102713774 9502265102735208 -> 0.9999999999977443 Inexact Rounded | |
| dddiv4061 divide 2109558399130981 2109558399116281 -> 1.000000000006968 Inexact Rounded | |
| dddiv4062 divide 5296182636350471 5296182636351521 -> 0.9999999999998017 Inexact Rounded | |
| dddiv4063 divide 1440019225591883 1440019225601844 -> 0.9999999999930827 Inexact Rounded | |
| dddiv4064 divide 8182110791881341 8182110791847174 -> 1.000000000004176 Inexact Rounded | |
| dddiv4065 divide 489098235512060 489098235534516 -> 0.9999999999540869 Inexact Rounded | |
| dddiv4066 divide 6475687084782038 6475687084756089 -> 1.000000000004007 Inexact Rounded | |
| dddiv4067 divide 8094348555736948 8094348555759236 -> 0.9999999999972465 Inexact Rounded | |
| dddiv4068 divide 1982766816291543 1982766816309463 -> 0.9999999999909621 Inexact Rounded | |
| dddiv4069 divide 9277314300113251 9277314300084467 -> 1.000000000003103 Inexact Rounded | |
| dddiv4070 divide 4335532959318934 4335532959293167 -> 1.000000000005943 Inexact Rounded | |
| dddiv4071 divide 7767113032981348 7767113032968132 -> 1.000000000001702 Inexact Rounded | |
| dddiv4072 divide 1578548053342868 1578548053370448 -> 0.9999999999825282 Inexact Rounded | |
| dddiv4073 divide 3790420686666898 3790420686636315 -> 1.000000000008068 Inexact Rounded | |
| dddiv4074 divide 871682421955147 871682421976441 -> 0.9999999999755714 Inexact Rounded | |
| dddiv4075 divide 744141054479940 744141054512329 -> 0.9999999999564746 Inexact Rounded | |
| dddiv4076 divide 8956824183670735 8956824183641741 -> 1.000000000003237 Inexact Rounded | |
| dddiv4077 divide 8337291694485682 8337291694451193 -> 1.000000000004137 Inexact Rounded | |
| dddiv4078 divide 4107775944683669 4107775944657097 -> 1.000000000006469 Inexact Rounded | |
| dddiv4079 divide 8691900057964648 8691900057997555 -> 0.9999999999962141 Inexact Rounded | |
| dddiv4080 divide 2229528520536462 2229528520502337 -> 1.000000000015306 Inexact Rounded | |
| dddiv4081 divide 398442083774322 398442083746273 -> 1.000000000070397 Inexact Rounded | |
| dddiv4082 divide 5319819776808759 5319819776838313 -> 0.9999999999944445 Inexact Rounded | |
| dddiv4083 divide 7710491299066855 7710491299041858 -> 1.000000000003242 Inexact Rounded | |
| dddiv4084 divide 9083231296087266 9083231296058160 -> 1.000000000003204 Inexact Rounded | |
| dddiv4085 divide 3566873574904559 3566873574890328 -> 1.000000000003990 Inexact Rounded | |
| dddiv4086 divide 596343290550525 596343290555614 -> 0.9999999999914663 Inexact Rounded | |
| dddiv4087 divide 278227925093192 278227925068104 -> 1.000000000090171 Inexact Rounded | |
| dddiv4088 divide 3292902958490649 3292902958519881 -> 0.9999999999911227 Inexact Rounded | |
| dddiv4089 divide 5521871364245881 5521871364229536 -> 1.000000000002960 Inexact Rounded | |
| dddiv4090 divide 2406505602883617 2406505602857997 -> 1.000000000010646 Inexact Rounded | |
| dddiv4091 divide 7741146984869208 7741146984867255 -> 1.000000000000252 Inexact Rounded | |
| dddiv4092 divide 4576041832414909 4576041832405102 -> 1.000000000002143 Inexact Rounded | |
| dddiv4093 divide 9183756982878057 9183756982901934 -> 0.9999999999974001 Inexact Rounded | |
| dddiv4094 divide 6215736513855159 6215736513870342 -> 0.9999999999975573 Inexact Rounded | |
| dddiv4095 divide 248554968534533 248554968551417 -> 0.9999999999320714 Inexact Rounded | |
| dddiv4096 divide 376314165668645 376314165659755 -> 1.000000000023624 Inexact Rounded | |
| dddiv4097 divide 5513569249809718 5513569249808906 -> 1.000000000000147 Inexact Rounded | |
| dddiv4098 divide 3367992242167904 3367992242156228 -> 1.000000000003467 Inexact Rounded | |
| dddiv4099 divide 6134869538966967 6134869538985986 -> 0.9999999999968999 Inexact Rounded | |
| -- Null tests | |
| dddiv9998 divide 10 # -> NaN Invalid_operation | |
| dddiv9999 divide # 10 -> NaN Invalid_operation | |