------------------------------------------------------------------------

-- 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: 2.58

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