| ------------------------------------------------------------------------ |
| -- remainder.decTest -- decimal remainder -- |
| -- 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 (as base, above) |
| remx001 remainder 1 1 -> 0 |
| remx002 remainder 2 1 -> 0 |
| remx003 remainder 1 2 -> 1 |
| remx004 remainder 2 2 -> 0 |
| remx005 remainder 0 1 -> 0 |
| remx006 remainder 0 2 -> 0 |
| remx007 remainder 1 3 -> 1 |
| remx008 remainder 2 3 -> 2 |
| remx009 remainder 3 3 -> 0 |
| |
| remx010 remainder 2.4 1 -> 0.4 |
| remx011 remainder 2.4 -1 -> 0.4 |
| remx012 remainder -2.4 1 -> -0.4 |
| remx013 remainder -2.4 -1 -> -0.4 |
| remx014 remainder 2.40 1 -> 0.40 |
| remx015 remainder 2.400 1 -> 0.400 |
| remx016 remainder 2.4 2 -> 0.4 |
| remx017 remainder 2.400 2 -> 0.400 |
| remx018 remainder 2. 2 -> 0 |
| remx019 remainder 20 20 -> 0 |
| |
| remx020 remainder 187 187 -> 0 |
| remx021 remainder 5 2 -> 1 |
| remx022 remainder 5 2.0 -> 1.0 |
| remx023 remainder 5 2.000 -> 1.000 |
| remx024 remainder 5 0.200 -> 0.000 |
| remx025 remainder 5 0.200 -> 0.000 |
| |
| remx030 remainder 1 2 -> 1 |
| remx031 remainder 1 4 -> 1 |
| remx032 remainder 1 8 -> 1 |
| |
| remx033 remainder 1 16 -> 1 |
| remx034 remainder 1 32 -> 1 |
| remx035 remainder 1 64 -> 1 |
| remx040 remainder 1 -2 -> 1 |
| remx041 remainder 1 -4 -> 1 |
| remx042 remainder 1 -8 -> 1 |
| remx043 remainder 1 -16 -> 1 |
| remx044 remainder 1 -32 -> 1 |
| remx045 remainder 1 -64 -> 1 |
| remx050 remainder -1 2 -> -1 |
| remx051 remainder -1 4 -> -1 |
| remx052 remainder -1 8 -> -1 |
| remx053 remainder -1 16 -> -1 |
| remx054 remainder -1 32 -> -1 |
| remx055 remainder -1 64 -> -1 |
| remx060 remainder -1 -2 -> -1 |
| remx061 remainder -1 -4 -> -1 |
| remx062 remainder -1 -8 -> -1 |
| remx063 remainder -1 -16 -> -1 |
| remx064 remainder -1 -32 -> -1 |
| remx065 remainder -1 -64 -> -1 |
| |
| remx066 remainder 999999999 1 -> 0 |
| remx067 remainder 999999999.4 1 -> 0.4 |
| remx068 remainder 999999999.5 1 -> 0.5 |
| remx069 remainder 999999999.9 1 -> 0.9 |
| remx070 remainder 999999999.999 1 -> 0.999 |
| precision: 6 |
| remx071 remainder 999999999 1 -> NaN Division_impossible |
| remx072 remainder 99999999 1 -> NaN Division_impossible |
| remx073 remainder 9999999 1 -> NaN Division_impossible |
| remx074 remainder 999999 1 -> 0 |
| remx075 remainder 99999 1 -> 0 |
| remx076 remainder 9999 1 -> 0 |
| remx077 remainder 999 1 -> 0 |
| remx078 remainder 99 1 -> 0 |
| remx079 remainder 9 1 -> 0 |
| |
| precision: 9 |
| remx080 remainder 0. 1 -> 0 |
| remx081 remainder .0 1 -> 0.0 |
| remx082 remainder 0.00 1 -> 0.00 |
| remx083 remainder 0.00E+9 1 -> 0 |
| remx084 remainder 0.00E+3 1 -> 0 |
| remx085 remainder 0.00E+2 1 -> 0 |
| remx086 remainder 0.00E+1 1 -> 0.0 |
| remx087 remainder 0.00E+0 1 -> 0.00 |
| remx088 remainder 0.00E-0 1 -> 0.00 |
| remx089 remainder 0.00E-1 1 -> 0.000 |
| remx090 remainder 0.00E-2 1 -> 0.0000 |
| remx091 remainder 0.00E-3 1 -> 0.00000 |
| remx092 remainder 0.00E-4 1 -> 0.000000 |
| remx093 remainder 0.00E-5 1 -> 0E-7 |
| remx094 remainder 0.00E-6 1 -> 0E-8 |
| remx095 remainder 0.0000E-50 1 -> 0E-54 |
| |
| -- Various flavours of remainder by 0 |
| precision: 9 |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| remx101 remainder 0 0 -> NaN Division_undefined |
| remx102 remainder 0 -0 -> NaN Division_undefined |
| remx103 remainder -0 0 -> NaN Division_undefined |
| remx104 remainder -0 -0 -> NaN Division_undefined |
| remx105 remainder 0.0E5 0 -> NaN Division_undefined |
| remx106 remainder 0.000 0 -> NaN Division_undefined |
| -- [Some think this next group should be Division_by_zero exception, but |
| -- IEEE 854 is explicit that it is Invalid operation .. for |
| -- remainder-near, anyway] |
| remx107 remainder 0.0001 0 -> NaN Invalid_operation |
| remx108 remainder 0.01 0 -> NaN Invalid_operation |
| remx109 remainder 0.1 0 -> NaN Invalid_operation |
| remx110 remainder 1 0 -> NaN Invalid_operation |
| remx111 remainder 1 0.0 -> NaN Invalid_operation |
| remx112 remainder 10 0.0 -> NaN Invalid_operation |
| remx113 remainder 1E+100 0.0 -> NaN Invalid_operation |
| remx114 remainder 1E+1000 0 -> NaN Invalid_operation |
| remx115 remainder 0.0001 -0 -> NaN Invalid_operation |
| remx116 remainder 0.01 -0 -> NaN Invalid_operation |
| remx119 remainder 0.1 -0 -> NaN Invalid_operation |
| remx120 remainder 1 -0 -> NaN Invalid_operation |
| remx121 remainder 1 -0.0 -> NaN Invalid_operation |
| remx122 remainder 10 -0.0 -> NaN Invalid_operation |
| remx123 remainder 1E+100 -0.0 -> NaN Invalid_operation |
| remx124 remainder 1E+1000 -0 -> NaN Invalid_operation |
| -- and zeros on left |
| remx130 remainder 0 1 -> 0 |
| remx131 remainder 0 -1 -> 0 |
| remx132 remainder 0.0 1 -> 0.0 |
| remx133 remainder 0.0 -1 -> 0.0 |
| remx134 remainder -0 1 -> -0 |
| remx135 remainder -0 -1 -> -0 |
| remx136 remainder -0.0 1 -> -0.0 |
| remx137 remainder -0.0 -1 -> -0.0 |
| |
| -- 0.5ers |
| remx143 remainder 0.5 2 -> 0.5 |
| remx144 remainder 0.5 2.1 -> 0.5 |
| remx145 remainder 0.5 2.01 -> 0.50 |
| remx146 remainder 0.5 2.001 -> 0.500 |
| remx147 remainder 0.50 2 -> 0.50 |
| remx148 remainder 0.50 2.01 -> 0.50 |
| remx149 remainder 0.50 2.001 -> 0.500 |
| |
| -- steadies |
| remx150 remainder 1 1 -> 0 |
| remx151 remainder 1 2 -> 1 |
| remx152 remainder 1 3 -> 1 |
| remx153 remainder 1 4 -> 1 |
| remx154 remainder 1 5 -> 1 |
| remx155 remainder 1 6 -> 1 |
| remx156 remainder 1 7 -> 1 |
| remx157 remainder 1 8 -> 1 |
| remx158 remainder 1 9 -> 1 |
| remx159 remainder 1 10 -> 1 |
| remx160 remainder 1 1 -> 0 |
| remx161 remainder 2 1 -> 0 |
| remx162 remainder 3 1 -> 0 |
| remx163 remainder 4 1 -> 0 |
| remx164 remainder 5 1 -> 0 |
| remx165 remainder 6 1 -> 0 |
| remx166 remainder 7 1 -> 0 |
| remx167 remainder 8 1 -> 0 |
| remx168 remainder 9 1 -> 0 |
| remx169 remainder 10 1 -> 0 |
| |
| -- some differences from remainderNear |
| remx171 remainder 0.4 1.020 -> 0.400 |
| remx172 remainder 0.50 1.020 -> 0.500 |
| remx173 remainder 0.51 1.020 -> 0.510 |
| remx174 remainder 0.52 1.020 -> 0.520 |
| remx175 remainder 0.6 1.020 -> 0.600 |
| |
| |
| -- More flavours of remainder by 0 |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| remx201 remainder 0 0 -> NaN Division_undefined |
| remx202 remainder 0.0E5 0 -> NaN Division_undefined |
| remx203 remainder 0.000 0 -> NaN Division_undefined |
| remx204 remainder 0.0001 0 -> NaN Invalid_operation |
| remx205 remainder 0.01 0 -> NaN Invalid_operation |
| remx206 remainder 0.1 0 -> NaN Invalid_operation |
| remx207 remainder 1 0 -> NaN Invalid_operation |
| remx208 remainder 1 0.0 -> NaN Invalid_operation |
| remx209 remainder 10 0.0 -> NaN Invalid_operation |
| remx210 remainder 1E+100 0.0 -> NaN Invalid_operation |
| remx211 remainder 1E+1000 0 -> NaN Invalid_operation |
| |
| -- some differences from remainderNear |
| remx231 remainder -0.4 1.020 -> -0.400 |
| remx232 remainder -0.50 1.020 -> -0.500 |
| remx233 remainder -0.51 1.020 -> -0.510 |
| remx234 remainder -0.52 1.020 -> -0.520 |
| remx235 remainder -0.6 1.020 -> -0.600 |
| |
| -- high Xs |
| remx240 remainder 1E+2 1.00 -> 0.00 |
| |
| |
| -- test some cases that are close to exponent overflow |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| remx270 remainder 1 1e999999999 -> 1 |
| remx271 remainder 1 0.9e999999999 -> 1 |
| remx272 remainder 1 0.99e999999999 -> 1 |
| remx273 remainder 1 0.999999999e999999999 -> 1 |
| remx274 remainder 9e999999999 1 -> NaN Division_impossible |
| remx275 remainder 9.9e999999999 1 -> NaN Division_impossible |
| remx276 remainder 9.99e999999999 1 -> NaN Division_impossible |
| remx277 remainder 9.99999999e999999999 1 -> NaN Division_impossible |
| |
| remx280 remainder 0.1 9e-999999999 -> NaN Division_impossible |
| remx281 remainder 0.1 99e-999999999 -> NaN Division_impossible |
| remx282 remainder 0.1 999e-999999999 -> NaN Division_impossible |
| |
| remx283 remainder 0.1 9e-999999998 -> NaN Division_impossible |
| remx284 remainder 0.1 99e-999999998 -> NaN Division_impossible |
| remx285 remainder 0.1 999e-999999998 -> NaN Division_impossible |
| remx286 remainder 0.1 999e-999999997 -> NaN Division_impossible |
| remx287 remainder 0.1 9999e-999999997 -> NaN Division_impossible |
| remx288 remainder 0.1 99999e-999999997 -> NaN Division_impossible |
| |
| -- remx3xx are from DiagBigDecimal |
| remx301 remainder 1 3 -> 1 |
| remx302 remainder 5 5 -> 0 |
| remx303 remainder 13 10 -> 3 |
| remx304 remainder 13 50 -> 13 |
| remx305 remainder 13 100 -> 13 |
| remx306 remainder 13 1000 -> 13 |
| remx307 remainder .13 1 -> 0.13 |
| remx308 remainder 0.133 1 -> 0.133 |
| remx309 remainder 0.1033 1 -> 0.1033 |
| remx310 remainder 1.033 1 -> 0.033 |
| remx311 remainder 10.33 1 -> 0.33 |
| remx312 remainder 10.33 10 -> 0.33 |
| remx313 remainder 103.3 1 -> 0.3 |
| remx314 remainder 133 10 -> 3 |
| remx315 remainder 1033 10 -> 3 |
| remx316 remainder 1033 50 -> 33 |
| remx317 remainder 101.0 3 -> 2.0 |
| remx318 remainder 102.0 3 -> 0.0 |
| remx319 remainder 103.0 3 -> 1.0 |
| remx320 remainder 2.40 1 -> 0.40 |
| remx321 remainder 2.400 1 -> 0.400 |
| remx322 remainder 2.4 1 -> 0.4 |
| remx323 remainder 2.4 2 -> 0.4 |
| remx324 remainder 2.400 2 -> 0.400 |
| remx325 remainder 1 0.3 -> 0.1 |
| remx326 remainder 1 0.30 -> 0.10 |
| remx327 remainder 1 0.300 -> 0.100 |
| remx328 remainder 1 0.3000 -> 0.1000 |
| remx329 remainder 1.0 0.3 -> 0.1 |
| remx330 remainder 1.00 0.3 -> 0.10 |
| remx331 remainder 1.000 0.3 -> 0.100 |
| remx332 remainder 1.0000 0.3 -> 0.1000 |
| remx333 remainder 0.5 2 -> 0.5 |
| remx334 remainder 0.5 2.1 -> 0.5 |
| remx335 remainder 0.5 2.01 -> 0.50 |
| remx336 remainder 0.5 2.001 -> 0.500 |
| remx337 remainder 0.50 2 -> 0.50 |
| remx338 remainder 0.50 2.01 -> 0.50 |
| remx339 remainder 0.50 2.001 -> 0.500 |
| |
| remx340 remainder 0.5 0.5000001 -> 0.5000000 |
| remx341 remainder 0.5 0.50000001 -> 0.50000000 |
| remx342 remainder 0.5 0.500000001 -> 0.500000000 |
| remx343 remainder 0.5 0.5000000001 -> 0.500000000 Rounded |
| remx344 remainder 0.5 0.50000000001 -> 0.500000000 Rounded |
| remx345 remainder 0.5 0.4999999 -> 1E-7 |
| remx346 remainder 0.5 0.49999999 -> 1E-8 |
| remx347 remainder 0.5 0.499999999 -> 1E-9 |
| remx348 remainder 0.5 0.4999999999 -> 1E-10 |
| remx349 remainder 0.5 0.49999999999 -> 1E-11 |
| remx350 remainder 0.5 0.499999999999 -> 1E-12 |
| |
| remx351 remainder 0.03 7 -> 0.03 |
| remx352 remainder 5 2 -> 1 |
| remx353 remainder 4.1 2 -> 0.1 |
| remx354 remainder 4.01 2 -> 0.01 |
| remx355 remainder 4.001 2 -> 0.001 |
| remx356 remainder 4.0001 2 -> 0.0001 |
| remx357 remainder 4.00001 2 -> 0.00001 |
| remx358 remainder 4.000001 2 -> 0.000001 |
| remx359 remainder 4.0000001 2 -> 1E-7 |
| |
| remx360 remainder 1.2 0.7345 -> 0.4655 |
| remx361 remainder 0.8 12 -> 0.8 |
| remx362 remainder 0.8 0.2 -> 0.0 |
| remx363 remainder 0.8 0.3 -> 0.2 |
| remx364 remainder 0.800 12 -> 0.800 |
| remx365 remainder 0.800 1.7 -> 0.800 |
| remx366 remainder 2.400 2 -> 0.400 |
| |
| precision: 6 |
| remx371 remainder 2.400 2 -> 0.400 |
| precision: 3 |
| -- long operand, rounded, case |
| remx372 remainder 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded |
| -- 12000000000000 |
| |
| precision: 5 |
| remx381 remainder 12345 1 -> 0 |
| remx382 remainder 12345 1.0001 -> 0.7657 |
| remx383 remainder 12345 1.001 -> 0.668 |
| remx384 remainder 12345 1.01 -> 0.78 |
| remx385 remainder 12345 1.1 -> 0.8 |
| remx386 remainder 12355 4 -> 3 |
| remx387 remainder 12345 4 -> 1 |
| remx388 remainder 12355 4.0001 -> 2.6912 |
| remx389 remainder 12345 4.0001 -> 0.6914 |
| remx390 remainder 12345 4.9 -> 1.9 |
| remx391 remainder 12345 4.99 -> 4.73 |
| remx392 remainder 12345 4.999 -> 2.469 |
| remx393 remainder 12345 4.9999 -> 0.2469 |
| remx394 remainder 12345 5 -> 0 |
| remx395 remainder 12345 5.0001 -> 4.7532 |
| remx396 remainder 12345 5.001 -> 2.532 |
| remx397 remainder 12345 5.01 -> 0.36 |
| remx398 remainder 12345 5.1 -> 3.0 |
| |
| precision: 9 |
| -- the nasty division-by-1 cases |
| remx401 remainder 0.5 1 -> 0.5 |
| remx402 remainder 0.55 1 -> 0.55 |
| remx403 remainder 0.555 1 -> 0.555 |
| remx404 remainder 0.5555 1 -> 0.5555 |
| remx405 remainder 0.55555 1 -> 0.55555 |
| remx406 remainder 0.555555 1 -> 0.555555 |
| remx407 remainder 0.5555555 1 -> 0.5555555 |
| remx408 remainder 0.55555555 1 -> 0.55555555 |
| remx409 remainder 0.555555555 1 -> 0.555555555 |
| |
| -- zero signs |
| remx650 remainder 1 1 -> 0 |
| remx651 remainder -1 1 -> -0 |
| remx652 remainder 1 -1 -> 0 |
| remx653 remainder -1 -1 -> -0 |
| remx654 remainder 0 1 -> 0 |
| remx655 remainder -0 1 -> -0 |
| remx656 remainder 0 -1 -> 0 |
| remx657 remainder -0 -1 -> -0 |
| remx658 remainder 0.00 1 -> 0.00 |
| remx659 remainder -0.00 1 -> -0.00 |
| |
| -- Specials |
| remx680 remainder Inf -Inf -> NaN Invalid_operation |
| remx681 remainder Inf -1000 -> NaN Invalid_operation |
| remx682 remainder Inf -1 -> NaN Invalid_operation |
| remx683 remainder Inf 0 -> NaN Invalid_operation |
| remx684 remainder Inf -0 -> NaN Invalid_operation |
| remx685 remainder Inf 1 -> NaN Invalid_operation |
| remx686 remainder Inf 1000 -> NaN Invalid_operation |
| remx687 remainder Inf Inf -> NaN Invalid_operation |
| remx688 remainder -1000 Inf -> -1000 |
| remx689 remainder -Inf Inf -> NaN Invalid_operation |
| remx691 remainder -1 Inf -> -1 |
| remx692 remainder 0 Inf -> 0 |
| remx693 remainder -0 Inf -> -0 |
| remx694 remainder 1 Inf -> 1 |
| remx695 remainder 1000 Inf -> 1000 |
| remx696 remainder Inf Inf -> NaN Invalid_operation |
| |
| remx700 remainder -Inf -Inf -> NaN Invalid_operation |
| remx701 remainder -Inf -1000 -> NaN Invalid_operation |
| remx702 remainder -Inf -1 -> NaN Invalid_operation |
| remx703 remainder -Inf -0 -> NaN Invalid_operation |
| remx704 remainder -Inf 0 -> NaN Invalid_operation |
| remx705 remainder -Inf 1 -> NaN Invalid_operation |
| remx706 remainder -Inf 1000 -> NaN Invalid_operation |
| remx707 remainder -Inf Inf -> NaN Invalid_operation |
| remx708 remainder -Inf -Inf -> NaN Invalid_operation |
| remx709 remainder -1000 Inf -> -1000 |
| remx710 remainder -1 -Inf -> -1 |
| remx711 remainder -0 -Inf -> -0 |
| remx712 remainder 0 -Inf -> 0 |
| remx713 remainder 1 -Inf -> 1 |
| remx714 remainder 1000 -Inf -> 1000 |
| remx715 remainder Inf -Inf -> NaN Invalid_operation |
| |
| remx721 remainder NaN -Inf -> NaN |
| remx722 remainder NaN -1000 -> NaN |
| remx723 remainder NaN -1 -> NaN |
| remx724 remainder NaN -0 -> NaN |
| remx725 remainder -NaN 0 -> -NaN |
| remx726 remainder NaN 1 -> NaN |
| remx727 remainder NaN 1000 -> NaN |
| remx728 remainder NaN Inf -> NaN |
| remx729 remainder NaN -NaN -> NaN |
| remx730 remainder -Inf NaN -> NaN |
| remx731 remainder -1000 NaN -> NaN |
| remx732 remainder -1 NaN -> NaN |
| remx733 remainder -0 -NaN -> -NaN |
| remx734 remainder 0 NaN -> NaN |
| remx735 remainder 1 -NaN -> -NaN |
| remx736 remainder 1000 NaN -> NaN |
| remx737 remainder Inf NaN -> NaN |
| |
| remx741 remainder sNaN -Inf -> NaN Invalid_operation |
| remx742 remainder sNaN -1000 -> NaN Invalid_operation |
| remx743 remainder -sNaN -1 -> -NaN Invalid_operation |
| remx744 remainder sNaN -0 -> NaN Invalid_operation |
| remx745 remainder sNaN 0 -> NaN Invalid_operation |
| remx746 remainder sNaN 1 -> NaN Invalid_operation |
| remx747 remainder sNaN 1000 -> NaN Invalid_operation |
| remx749 remainder sNaN NaN -> NaN Invalid_operation |
| remx750 remainder sNaN sNaN -> NaN Invalid_operation |
| remx751 remainder NaN sNaN -> NaN Invalid_operation |
| remx752 remainder -Inf sNaN -> NaN Invalid_operation |
| remx753 remainder -1000 sNaN -> NaN Invalid_operation |
| remx754 remainder -1 sNaN -> NaN Invalid_operation |
| remx755 remainder -0 sNaN -> NaN Invalid_operation |
| remx756 remainder 0 sNaN -> NaN Invalid_operation |
| remx757 remainder 1 sNaN -> NaN Invalid_operation |
| remx758 remainder 1000 sNaN -> NaN Invalid_operation |
| remx759 remainder Inf -sNaN -> -NaN Invalid_operation |
| |
| -- propaging NaNs |
| remx760 remainder NaN1 NaN7 -> NaN1 |
| remx761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation |
| remx762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation |
| remx763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation |
| remx764 remainder 15 NaN11 -> NaN11 |
| remx765 remainder NaN6 NaN12 -> NaN6 |
| remx766 remainder Inf NaN13 -> NaN13 |
| remx767 remainder NaN14 -Inf -> NaN14 |
| remx768 remainder 0 NaN15 -> NaN15 |
| remx769 remainder NaN16 -0 -> NaN16 |
| |
| -- test some cases that are close to exponent overflow |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| remx770 remainder 1 1e999999999 -> 1 |
| remx771 remainder 1 0.9e999999999 -> 1 |
| remx772 remainder 1 0.99e999999999 -> 1 |
| remx773 remainder 1 0.999999999e999999999 -> 1 |
| remx774 remainder 9e999999999 1 -> NaN Division_impossible |
| remx775 remainder 9.9e999999999 1 -> NaN Division_impossible |
| remx776 remainder 9.99e999999999 1 -> NaN Division_impossible |
| remx777 remainder 9.99999999e999999999 1 -> NaN Division_impossible |
| |
| -- long operand checks |
| maxexponent: 999 |
| minexponent: -999 |
| precision: 9 |
| remx801 remainder 12345678000 100 -> 0 |
| remx802 remainder 1 12345678000 -> 1 |
| remx803 remainder 1234567800 10 -> 0 |
| remx804 remainder 1 1234567800 -> 1 |
| remx805 remainder 1234567890 10 -> 0 |
| remx806 remainder 1 1234567890 -> 1 |
| remx807 remainder 1234567891 10 -> 1 |
| remx808 remainder 1 1234567891 -> 1 |
| remx809 remainder 12345678901 100 -> 1 |
| remx810 remainder 1 12345678901 -> 1 |
| remx811 remainder 1234567896 10 -> 6 |
| remx812 remainder 1 1234567896 -> 1 |
| |
| precision: 15 |
| remx821 remainder 12345678000 100 -> 0 |
| remx822 remainder 1 12345678000 -> 1 |
| remx823 remainder 1234567800 10 -> 0 |
| remx824 remainder 1 1234567800 -> 1 |
| remx825 remainder 1234567890 10 -> 0 |
| remx826 remainder 1 1234567890 -> 1 |
| remx827 remainder 1234567891 10 -> 1 |
| remx828 remainder 1 1234567891 -> 1 |
| remx829 remainder 12345678901 100 -> 1 |
| remx830 remainder 1 12345678901 -> 1 |
| remx831 remainder 1234567896 10 -> 6 |
| remx832 remainder 1 1234567896 -> 1 |
| |
| -- worries from divideint |
| precision: 8 |
| remx840 remainder 100000000.0 1 -> NaN Division_impossible |
| remx841 remainder 100000000.4 1 -> NaN Division_impossible |
| remx842 remainder 100000000.5 1 -> NaN Division_impossible |
| remx843 remainder 100000000.9 1 -> NaN Division_impossible |
| remx844 remainder 100000000.999 1 -> NaN Division_impossible |
| precision: 6 |
| remx850 remainder 100000003 5 -> NaN Division_impossible |
| remx851 remainder 10000003 5 -> NaN Division_impossible |
| remx852 remainder 1000003 5 -> 3 |
| remx853 remainder 100003 5 -> 3 |
| remx854 remainder 10003 5 -> 3 |
| remx855 remainder 1003 5 -> 3 |
| remx856 remainder 103 5 -> 3 |
| remx857 remainder 13 5 -> 3 |
| remx858 remainder 1 5 -> 1 |
| |
| -- Vladimir's cases |
| remx860 remainder 123.0e1 10000000000000000 -> 1230 |
| remx861 remainder 1230 10000000000000000 -> 1230 |
| remx862 remainder 12.3e2 10000000000000000 -> 1230 |
| remx863 remainder 1.23e3 10000000000000000 -> 1230 |
| remx864 remainder 123e1 10000000000000000 -> 1230 |
| remx870 remainder 123e1 1000000000000000 -> 1230 |
| remx871 remainder 123e1 100000000000000 -> 1230 |
| remx872 remainder 123e1 10000000000000 -> 1230 |
| remx873 remainder 123e1 1000000000000 -> 1230 |
| remx874 remainder 123e1 100000000000 -> 1230 |
| remx875 remainder 123e1 10000000000 -> 1230 |
| remx876 remainder 123e1 1000000000 -> 1230 |
| remx877 remainder 123e1 100000000 -> 1230 |
| remx878 remainder 1230 100000000 -> 1230 |
| remx879 remainder 123e1 10000000 -> 1230 |
| remx880 remainder 123e1 1000000 -> 1230 |
| remx881 remainder 123e1 100000 -> 1230 |
| remx882 remainder 123e1 10000 -> 1230 |
| remx883 remainder 123e1 1000 -> 230 |
| remx884 remainder 123e1 100 -> 30 |
| remx885 remainder 123e1 10 -> 0 |
| remx886 remainder 123e1 1 -> 0 |
| |
| remx889 remainder 123e1 20000000000000000 -> 1230 |
| remx890 remainder 123e1 2000000000000000 -> 1230 |
| remx891 remainder 123e1 200000000000000 -> 1230 |
| remx892 remainder 123e1 20000000000000 -> 1230 |
| remx893 remainder 123e1 2000000000000 -> 1230 |
| remx894 remainder 123e1 200000000000 -> 1230 |
| remx895 remainder 123e1 20000000000 -> 1230 |
| remx896 remainder 123e1 2000000000 -> 1230 |
| remx897 remainder 123e1 200000000 -> 1230 |
| remx899 remainder 123e1 20000000 -> 1230 |
| remx900 remainder 123e1 2000000 -> 1230 |
| remx901 remainder 123e1 200000 -> 1230 |
| remx902 remainder 123e1 20000 -> 1230 |
| remx903 remainder 123e1 2000 -> 1230 |
| remx904 remainder 123e1 200 -> 30 |
| remx905 remainder 123e1 20 -> 10 |
| remx906 remainder 123e1 2 -> 0 |
| |
| remx909 remainder 123e1 50000000000000000 -> 1230 |
| remx910 remainder 123e1 5000000000000000 -> 1230 |
| remx911 remainder 123e1 500000000000000 -> 1230 |
| remx912 remainder 123e1 50000000000000 -> 1230 |
| remx913 remainder 123e1 5000000000000 -> 1230 |
| remx914 remainder 123e1 500000000000 -> 1230 |
| remx915 remainder 123e1 50000000000 -> 1230 |
| remx916 remainder 123e1 5000000000 -> 1230 |
| remx917 remainder 123e1 500000000 -> 1230 |
| remx919 remainder 123e1 50000000 -> 1230 |
| remx920 remainder 123e1 5000000 -> 1230 |
| remx921 remainder 123e1 500000 -> 1230 |
| remx922 remainder 123e1 50000 -> 1230 |
| remx923 remainder 123e1 5000 -> 1230 |
| remx924 remainder 123e1 500 -> 230 |
| remx925 remainder 123e1 50 -> 30 |
| remx926 remainder 123e1 5 -> 0 |
| |
| remx929 remainder 123e1 90000000000000000 -> 1230 |
| remx930 remainder 123e1 9000000000000000 -> 1230 |
| remx931 remainder 123e1 900000000000000 -> 1230 |
| remx932 remainder 123e1 90000000000000 -> 1230 |
| remx933 remainder 123e1 9000000000000 -> 1230 |
| remx934 remainder 123e1 900000000000 -> 1230 |
| remx935 remainder 123e1 90000000000 -> 1230 |
| remx936 remainder 123e1 9000000000 -> 1230 |
| remx937 remainder 123e1 900000000 -> 1230 |
| remx939 remainder 123e1 90000000 -> 1230 |
| remx940 remainder 123e1 9000000 -> 1230 |
| remx941 remainder 123e1 900000 -> 1230 |
| remx942 remainder 123e1 90000 -> 1230 |
| remx943 remainder 123e1 9000 -> 1230 |
| remx944 remainder 123e1 900 -> 330 |
| remx945 remainder 123e1 90 -> 60 |
| remx946 remainder 123e1 9 -> 6 |
| |
| remx950 remainder 123e1 10000000000000000 -> 1230 |
| remx951 remainder 123e1 100000000000000000 -> 1230 |
| remx952 remainder 123e1 1000000000000000000 -> 1230 |
| remx953 remainder 123e1 10000000000000000000 -> 1230 |
| remx954 remainder 123e1 100000000000000000000 -> 1230 |
| remx955 remainder 123e1 1000000000000000000000 -> 1230 |
| remx956 remainder 123e1 10000000000000000000000 -> 1230 |
| remx957 remainder 123e1 100000000000000000000000 -> 1230 |
| remx958 remainder 123e1 1000000000000000000000000 -> 1230 |
| remx959 remainder 123e1 10000000000000000000000000 -> 1230 |
| |
| remx960 remainder 123e1 19999999999999999 -> 1230 |
| remx961 remainder 123e1 199999999999999990 -> 1230 |
| remx962 remainder 123e1 1999999999999999999 -> 1230 |
| remx963 remainder 123e1 19999999999999999990 -> 1230 |
| remx964 remainder 123e1 199999999999999999999 -> 1230 |
| remx965 remainder 123e1 1999999999999999999990 -> 1230 |
| remx966 remainder 123e1 19999999999999999999999 -> 1230 |
| remx967 remainder 123e1 199999999999999999999990 -> 1230 |
| remx968 remainder 123e1 1999999999999999999999999 -> 1230 |
| remx969 remainder 123e1 19999999999999999999999990 -> 1230 |
| |
| remx970 remainder 1e1 10000000000000000 -> 10 |
| remx971 remainder 1e1 100000000000000000 -> 10 |
| remx972 remainder 1e1 1000000000000000000 -> 10 |
| remx973 remainder 1e1 10000000000000000000 -> 10 |
| remx974 remainder 1e1 100000000000000000000 -> 10 |
| remx975 remainder 1e1 1000000000000000000000 -> 10 |
| remx976 remainder 1e1 10000000000000000000000 -> 10 |
| remx977 remainder 1e1 100000000000000000000000 -> 10 |
| remx978 remainder 1e1 1000000000000000000000000 -> 10 |
| remx979 remainder 1e1 10000000000000000000000000 -> 10 |
| |
| remx980 remainder 123e1 1000E999999 -> 1.23E+3 -- 123E+1 internally |
| |
| -- overflow and underflow tests [from divide] |
| precision: 9 |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| remx990 remainder +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded |
| remx991 remainder 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible |
| remx992 remainder +0.100 9E+999999999 -> 0.100 |
| remx993 remainder 9E-999999999 +9.100 -> 9E-999999999 |
| remx995 remainder -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded |
| remx996 remainder 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible |
| remx997 remainder -0.100 9E+999999999 -> -0.100 |
| remx998 remainder 9E-999999999 -9.100 -> 9E-999999999 |
| |
| -- Null tests |
| remx1000 remainder 10 # -> NaN Invalid_operation |
| remx1001 remainder # 10 -> NaN Invalid_operation |
| |