cpython/Lib/test/decimaltestdata/remainder.decTest

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------------------------------------------------------------------------
-- 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: 2.57
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