python-2.5.2/win32/Lib/test/decimaltestdata/remainder.decTest
changeset 0 ae805ac0140d
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/python-2.5.2/win32/Lib/test/decimaltestdata/remainder.decTest	Fri Apr 03 17:19:34 2009 +0100
@@ -0,0 +1,640 @@
+------------------------------------------------------------------------
+-- 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
+