------------------------------------------------------------------------ -- remainder.decTest -- decimal remainder -- -- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.56 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