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

-- ddRemainder.decTest -- decDouble 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

precision:   16

maxExponent: 384

minExponent: -383

extended:    1

clamp:       1

rounding:    half_even

-- sanity checks (as base, above)

ddrem001 remainder  1     1    ->  0

ddrem002 remainder  2     1    ->  0

ddrem003 remainder  1     2    ->  1

ddrem004 remainder  2     2    ->  0

ddrem005 remainder  0     1    ->  0

ddrem006 remainder  0     2    ->  0

ddrem007 remainder  1     3    ->  1

ddrem008 remainder  2     3    ->  2

ddrem009 remainder  3     3    ->  0

ddrem010 remainder  2.4   1    ->  0.4

ddrem011 remainder  2.4   -1   ->  0.4

ddrem012 remainder  -2.4  1    ->  -0.4

ddrem013 remainder  -2.4  -1   ->  -0.4

ddrem014 remainder  2.40  1    ->  0.40

ddrem015 remainder  2.400 1    ->  0.400

ddrem016 remainder  2.4   2    ->  0.4

ddrem017 remainder  2.400 2    ->  0.400

ddrem018 remainder  2.    2    ->  0

ddrem019 remainder  20    20   ->  0

ddrem020 remainder  187   187    ->  0

ddrem021 remainder  5     2      ->  1

ddrem022 remainder  5     2.0    ->  1.0

ddrem023 remainder  5     2.000  ->  1.000

ddrem024 remainder  5     0.200  ->  0.000

ddrem025 remainder  5     0.200  ->  0.000

ddrem030 remainder  1     2      ->  1

ddrem031 remainder  1     4      ->  1

ddrem032 remainder  1     8      ->  1

ddrem033 remainder  1     16     ->  1

ddrem034 remainder  1     32     ->  1

ddrem035 remainder  1     64     ->  1

ddrem040 remainder  1    -2      ->  1

ddrem041 remainder  1    -4      ->  1

ddrem042 remainder  1    -8      ->  1

ddrem043 remainder  1    -16     ->  1

ddrem044 remainder  1    -32     ->  1

ddrem045 remainder  1    -64     ->  1

ddrem050 remainder -1     2      ->  -1

ddrem051 remainder -1     4      ->  -1

ddrem052 remainder -1     8      ->  -1

ddrem053 remainder -1     16     ->  -1

ddrem054 remainder -1     32     ->  -1

ddrem055 remainder -1     64     ->  -1

ddrem060 remainder -1    -2      ->  -1

ddrem061 remainder -1    -4      ->  -1

ddrem062 remainder -1    -8      ->  -1

ddrem063 remainder -1    -16     ->  -1

ddrem064 remainder -1    -32     ->  -1

ddrem065 remainder -1    -64     ->  -1

ddrem066 remainder  999999999     1  -> 0

ddrem067 remainder  999999999.4   1  -> 0.4

ddrem068 remainder  999999999.5   1  -> 0.5

ddrem069 remainder  999999999.9   1  -> 0.9

ddrem070 remainder  999999999.999 1  -> 0.999

ddrem071 remainder  999999.999999 1  -> 0.999999

ddrem072 remainder  9             1  -> 0

ddrem073 remainder  9999999999999999 1  -> 0

ddrem074 remainder  9999999999999999 2  -> 1

ddrem075 remainder  9999999999999999 3  -> 0

ddrem076 remainder  9999999999999999 4  -> 3

ddrem080 remainder  0.            1  -> 0

ddrem081 remainder  .0            1  -> 0.0

ddrem082 remainder  0.00          1  -> 0.00

ddrem083 remainder  0.00E+9       1  -> 0

ddrem084 remainder  0.00E+3       1  -> 0

ddrem085 remainder  0.00E+2       1  -> 0

ddrem086 remainder  0.00E+1       1  -> 0.0

ddrem087 remainder  0.00E+0       1  -> 0.00

ddrem088 remainder  0.00E-0       1  -> 0.00

ddrem089 remainder  0.00E-1       1  -> 0.000

ddrem090 remainder  0.00E-2       1  -> 0.0000

ddrem091 remainder  0.00E-3       1  -> 0.00000

ddrem092 remainder  0.00E-4       1  -> 0.000000

ddrem093 remainder  0.00E-5       1  -> 0E-7

ddrem094 remainder  0.00E-6       1  -> 0E-8

ddrem095 remainder  0.0000E-50    1  -> 0E-54

-- Various flavours of remainder by 0

ddrem101 remainder  0       0   -> NaN Division_undefined

ddrem102 remainder  0      -0   -> NaN Division_undefined

ddrem103 remainder -0       0   -> NaN Division_undefined

ddrem104 remainder -0      -0   -> NaN Division_undefined

ddrem105 remainder  0.0E5   0   -> NaN Division_undefined

ddrem106 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]

ddrem107 remainder  0.0001  0   -> NaN Invalid_operation

ddrem108 remainder  0.01    0   -> NaN Invalid_operation

ddrem109 remainder  0.1     0   -> NaN Invalid_operation

ddrem110 remainder  1       0   -> NaN Invalid_operation

ddrem111 remainder  1       0.0 -> NaN Invalid_operation

ddrem112 remainder 10       0.0 -> NaN Invalid_operation

ddrem113 remainder 1E+100   0.0 -> NaN Invalid_operation

ddrem114 remainder 1E+380   0   -> NaN Invalid_operation

ddrem115 remainder  0.0001 -0   -> NaN Invalid_operation

ddrem116 remainder  0.01   -0   -> NaN Invalid_operation

ddrem119 remainder  0.1    -0   -> NaN Invalid_operation

ddrem120 remainder  1      -0   -> NaN Invalid_operation

ddrem121 remainder  1      -0.0 -> NaN Invalid_operation

ddrem122 remainder 10      -0.0 -> NaN Invalid_operation

ddrem123 remainder 1E+100  -0.0 -> NaN Invalid_operation

ddrem124 remainder 1E+384  -0   -> NaN Invalid_operation

-- and zeros on left

ddrem130 remainder  0      1   ->  0

ddrem131 remainder  0     -1   ->  0

ddrem132 remainder  0.0    1   ->  0.0

ddrem133 remainder  0.0   -1   ->  0.0

ddrem134 remainder -0      1   -> -0

ddrem135 remainder -0     -1   -> -0

ddrem136 remainder -0.0    1   -> -0.0

ddrem137 remainder -0.0   -1   -> -0.0

-- 0.5ers

ddrem143 remainder   0.5  2     ->  0.5

ddrem144 remainder   0.5  2.1   ->  0.5

ddrem145 remainder   0.5  2.01  ->  0.50

ddrem146 remainder   0.5  2.001 ->  0.500

ddrem147 remainder   0.50 2     ->  0.50

ddrem148 remainder   0.50 2.01  ->  0.50

ddrem149 remainder   0.50 2.001 ->  0.500

-- steadies

ddrem150 remainder  1  1   -> 0

ddrem151 remainder  1  2   -> 1

ddrem152 remainder  1  3   -> 1

ddrem153 remainder  1  4   -> 1

ddrem154 remainder  1  5   -> 1

ddrem155 remainder  1  6   -> 1

ddrem156 remainder  1  7   -> 1

ddrem157 remainder  1  8   -> 1

ddrem158 remainder  1  9   -> 1

ddrem159 remainder  1  10  -> 1

ddrem160 remainder  1  1   -> 0

ddrem161 remainder  2  1   -> 0

ddrem162 remainder  3  1   -> 0

ddrem163 remainder  4  1   -> 0

ddrem164 remainder  5  1   -> 0

ddrem165 remainder  6  1   -> 0

ddrem166 remainder  7  1   -> 0

ddrem167 remainder  8  1   -> 0

ddrem168 remainder  9  1   -> 0

ddrem169 remainder  10 1   -> 0

-- some differences from remainderNear

ddrem171 remainder   0.4  1.020 ->  0.400

ddrem172 remainder   0.50 1.020 ->  0.500

ddrem173 remainder   0.51 1.020 ->  0.510

ddrem174 remainder   0.52 1.020 ->  0.520

ddrem175 remainder   0.6  1.020 ->  0.600

-- More flavours of remainder by 0

ddrem201 remainder  0      0   -> NaN Division_undefined

ddrem202 remainder  0.0E5  0   -> NaN Division_undefined

ddrem203 remainder  0.000  0   -> NaN Division_undefined

ddrem204 remainder  0.0001 0   -> NaN Invalid_operation

ddrem205 remainder  0.01   0   -> NaN Invalid_operation

ddrem206 remainder  0.1    0   -> NaN Invalid_operation

ddrem207 remainder  1      0   -> NaN Invalid_operation

ddrem208 remainder  1      0.0 -> NaN Invalid_operation

ddrem209 remainder 10      0.0 -> NaN Invalid_operation

ddrem210 remainder 1E+100  0.0 -> NaN Invalid_operation

ddrem211 remainder 1E+380  0   -> NaN Invalid_operation

-- some differences from remainderNear

ddrem231 remainder  -0.4  1.020 -> -0.400

ddrem232 remainder  -0.50 1.020 -> -0.500

ddrem233 remainder  -0.51 1.020 -> -0.510

ddrem234 remainder  -0.52 1.020 -> -0.520

ddrem235 remainder  -0.6  1.020 -> -0.600

-- high Xs

ddrem240 remainder  1E+2  1.00  ->  0.00

-- ddrem3xx are from DiagBigDecimal

ddrem301 remainder   1    3     ->  1

ddrem302 remainder   5    5     ->  0

ddrem303 remainder   13   10    ->  3

ddrem304 remainder   13   50    ->  13

ddrem305 remainder   13   100   ->  13

ddrem306 remainder   13   1000  ->  13

ddrem307 remainder   .13    1   ->  0.13

ddrem308 remainder   0.133  1   ->  0.133

ddrem309 remainder   0.1033 1   ->  0.1033

ddrem310 remainder   1.033  1   ->  0.033

ddrem311 remainder   10.33  1   ->  0.33

ddrem312 remainder   10.33 10   ->  0.33

ddrem313 remainder   103.3  1   ->  0.3

ddrem314 remainder   133   10   ->  3

ddrem315 remainder   1033  10   ->  3

ddrem316 remainder   1033  50   ->  33

ddrem317 remainder   101.0  3   ->  2.0

ddrem318 remainder   102.0  3   ->  0.0

ddrem319 remainder   103.0  3   ->  1.0

ddrem320 remainder   2.40   1   ->  0.40

ddrem321 remainder   2.400  1   ->  0.400

ddrem322 remainder   2.4    1   ->  0.4

ddrem323 remainder   2.4    2   ->  0.4

ddrem324 remainder   2.400  2   ->  0.400

ddrem325 remainder   1   0.3    ->  0.1

ddrem326 remainder   1   0.30   ->  0.10

ddrem327 remainder   1   0.300  ->  0.100

ddrem328 remainder   1   0.3000 ->  0.1000

ddrem329 remainder   1.0    0.3 ->  0.1

ddrem330 remainder   1.00   0.3 ->  0.10

ddrem331 remainder   1.000  0.3 ->  0.100

ddrem332 remainder   1.0000 0.3 ->  0.1000

ddrem333 remainder   0.5  2     ->  0.5

ddrem334 remainder   0.5  2.1   ->  0.5

ddrem335 remainder   0.5  2.01  ->  0.50

ddrem336 remainder   0.5  2.001 ->  0.500

ddrem337 remainder   0.50 2     ->  0.50

ddrem338 remainder   0.50 2.01  ->  0.50

ddrem339 remainder   0.50 2.001 ->  0.500

ddrem340 remainder   0.5   0.5000001    ->  0.5000000

ddrem341 remainder   0.5   0.50000001    ->  0.50000000

ddrem342 remainder   0.5   0.500000001    ->  0.500000000

ddrem343 remainder   0.5   0.5000000001    ->  0.5000000000

ddrem344 remainder   0.5   0.50000000001    ->  0.50000000000

ddrem345 remainder   0.5   0.4999999    ->  1E-7

ddrem346 remainder   0.5   0.49999999    ->  1E-8

ddrem347 remainder   0.5   0.499999999    ->  1E-9

ddrem348 remainder   0.5   0.4999999999    ->  1E-10

ddrem349 remainder   0.5   0.49999999999    ->  1E-11

ddrem350 remainder   0.5   0.499999999999    ->  1E-12

ddrem351 remainder   0.03  7  ->  0.03

ddrem352 remainder   5   2    ->  1

ddrem353 remainder   4.1   2    ->  0.1

ddrem354 remainder   4.01   2    ->  0.01

ddrem355 remainder   4.001   2    ->  0.001

ddrem356 remainder   4.0001   2    ->  0.0001

ddrem357 remainder   4.00001   2    ->  0.00001

ddrem358 remainder   4.000001   2    ->  0.000001

ddrem359 remainder   4.0000001   2    ->  1E-7

ddrem360 remainder   1.2   0.7345 ->  0.4655

ddrem361 remainder   0.8   12     ->  0.8

ddrem362 remainder   0.8   0.2    ->  0.0

ddrem363 remainder   0.8   0.3    ->  0.2

ddrem364 remainder   0.800   12   ->  0.800

ddrem365 remainder   0.800   1.7  ->  0.800

ddrem366 remainder   2.400   2    ->  0.400

ddrem371 remainder   2.400  2        ->  0.400

ddrem381 remainder 12345  1         ->  0

ddrem382 remainder 12345  1.0001    ->  0.7657

ddrem383 remainder 12345  1.001     ->  0.668

ddrem384 remainder 12345  1.01      ->  0.78

ddrem385 remainder 12345  1.1       ->  0.8

ddrem386 remainder 12355  4         ->  3

ddrem387 remainder 12345  4         ->  1

ddrem388 remainder 12355  4.0001    ->  2.6912

ddrem389 remainder 12345  4.0001    ->  0.6914

ddrem390 remainder 12345  4.9       ->  1.9

ddrem391 remainder 12345  4.99      ->  4.73

ddrem392 remainder 12345  4.999     ->  2.469

ddrem393 remainder 12345  4.9999    ->  0.2469

ddrem394 remainder 12345  5         ->  0

ddrem395 remainder 12345  5.0001    ->  4.7532

ddrem396 remainder 12345  5.001     ->  2.532

ddrem397 remainder 12345  5.01      ->  0.36

ddrem398 remainder 12345  5.1       ->  3.0

-- the nasty division-by-1 cases

ddrem401 remainder   0.5         1   ->  0.5

ddrem402 remainder   0.55        1   ->  0.55

ddrem403 remainder   0.555       1   ->  0.555

ddrem404 remainder   0.5555      1   ->  0.5555

ddrem405 remainder   0.55555     1   ->  0.55555

ddrem406 remainder   0.555555    1   ->  0.555555

ddrem407 remainder   0.5555555   1   ->  0.5555555

ddrem408 remainder   0.55555555  1   ->  0.55555555

ddrem409 remainder   0.555555555 1   ->  0.555555555

-- folddowns

ddrem421 remainder   1E+384       1  ->   NaN Division_impossible

ddrem422 remainder   1E+384  1E+383  ->   0E+369 Clamped

ddrem423 remainder   1E+384  2E+383  ->   0E+369 Clamped

ddrem424 remainder   1E+384  3E+383  ->   1.00000000000000E+383 Clamped

ddrem425 remainder   1E+384  4E+383  ->   2.00000000000000E+383 Clamped

ddrem426 remainder   1E+384  5E+383  ->   0E+369 Clamped

ddrem427 remainder   1E+384  6E+383  ->   4.00000000000000E+383 Clamped

ddrem428 remainder   1E+384  7E+383  ->   3.00000000000000E+383 Clamped

ddrem429 remainder   1E+384  8E+383  ->   2.00000000000000E+383 Clamped

ddrem430 remainder   1E+384  9E+383  ->   1.00000000000000E+383 Clamped

-- tinies

ddrem431 remainder   1E-397  1E-398  ->   0E-398

ddrem432 remainder   1E-397  2E-398  ->   0E-398

ddrem433 remainder   1E-397  3E-398  ->   1E-398 Subnormal

ddrem434 remainder   1E-397  4E-398  ->   2E-398 Subnormal

ddrem435 remainder   1E-397  5E-398  ->   0E-398

ddrem436 remainder   1E-397  6E-398  ->   4E-398 Subnormal

ddrem437 remainder   1E-397  7E-398  ->   3E-398 Subnormal

ddrem438 remainder   1E-397  8E-398  ->   2E-398 Subnormal

ddrem439 remainder   1E-397  9E-398  ->   1E-398 Subnormal

ddrem440 remainder   1E-397 10E-398  ->   0E-398

ddrem441 remainder   1E-397 11E-398  -> 1.0E-397 Subnormal

ddrem442 remainder 100E-397 11E-398  -> 1.0E-397 Subnormal

ddrem443 remainder 100E-397 20E-398  ->   0E-398

ddrem444 remainder 100E-397 21E-398  -> 1.3E-397 Subnormal

ddrem445 remainder 100E-397 30E-398  -> 1.0E-397 Subnormal

-- zero signs

ddrem650 remainder  1  1 ->  0

ddrem651 remainder -1  1 -> -0

ddrem652 remainder  1 -1 ->  0

ddrem653 remainder -1 -1 -> -0

ddrem654 remainder  0  1 ->  0

ddrem655 remainder -0  1 -> -0

ddrem656 remainder  0 -1 ->  0

ddrem657 remainder -0 -1 -> -0

ddrem658 remainder  0.00  1  ->  0.00

ddrem659 remainder -0.00  1  -> -0.00

-- Specials

ddrem680 remainder  Inf  -Inf   ->  NaN Invalid_operation

ddrem681 remainder  Inf  -1000  ->  NaN Invalid_operation

ddrem682 remainder  Inf  -1     ->  NaN Invalid_operation

ddrem683 remainder  Inf   0     ->  NaN Invalid_operation

ddrem684 remainder  Inf  -0     ->  NaN Invalid_operation

ddrem685 remainder  Inf   1     ->  NaN Invalid_operation

ddrem686 remainder  Inf   1000  ->  NaN Invalid_operation

ddrem687 remainder  Inf   Inf   ->  NaN Invalid_operation

ddrem688 remainder -1000  Inf   -> -1000

ddrem689 remainder -Inf   Inf   ->  NaN Invalid_operation

ddrem691 remainder -1     Inf   -> -1

ddrem692 remainder  0     Inf   ->  0

ddrem693 remainder -0     Inf   -> -0

ddrem694 remainder  1     Inf   ->  1

ddrem695 remainder  1000  Inf   ->  1000

ddrem696 remainder  Inf   Inf   ->  NaN Invalid_operation

ddrem700 remainder -Inf  -Inf   ->  NaN Invalid_operation

ddrem701 remainder -Inf  -1000  ->  NaN Invalid_operation

ddrem702 remainder -Inf  -1     ->  NaN Invalid_operation

ddrem703 remainder -Inf  -0     ->  NaN Invalid_operation

ddrem704 remainder -Inf   0     ->  NaN Invalid_operation

ddrem705 remainder -Inf   1     ->  NaN Invalid_operation

ddrem706 remainder -Inf   1000  ->  NaN Invalid_operation

ddrem707 remainder -Inf   Inf   ->  NaN Invalid_operation

ddrem708 remainder -Inf  -Inf   ->  NaN Invalid_operation

ddrem709 remainder -1000  Inf   -> -1000

ddrem710 remainder -1    -Inf   -> -1

ddrem711 remainder -0    -Inf   -> -0

ddrem712 remainder  0    -Inf   ->  0

ddrem713 remainder  1    -Inf   ->  1

ddrem714 remainder  1000 -Inf   ->  1000

ddrem715 remainder  Inf  -Inf   ->  NaN Invalid_operation

ddrem721 remainder  NaN -Inf    ->  NaN

ddrem722 remainder  NaN -1000   ->  NaN

ddrem723 remainder  NaN -1      ->  NaN

ddrem724 remainder  NaN -0      ->  NaN

ddrem725 remainder -NaN  0      -> -NaN

ddrem726 remainder  NaN  1      ->  NaN

ddrem727 remainder  NaN  1000   ->  NaN

ddrem728 remainder  NaN  Inf    ->  NaN

ddrem729 remainder  NaN -NaN    ->  NaN

ddrem730 remainder -Inf  NaN    ->  NaN

ddrem731 remainder -1000 NaN    ->  NaN

ddrem732 remainder -1    NaN    ->  NaN

ddrem733 remainder -0   -NaN    -> -NaN

ddrem734 remainder  0    NaN    ->  NaN

ddrem735 remainder  1   -NaN    -> -NaN

ddrem736 remainder  1000 NaN    ->  NaN

ddrem737 remainder  Inf  NaN    ->  NaN

ddrem741 remainder  sNaN -Inf   ->  NaN  Invalid_operation

ddrem742 remainder  sNaN -1000  ->  NaN  Invalid_operation

ddrem743 remainder -sNaN -1     -> -NaN  Invalid_operation

ddrem744 remainder  sNaN -0     ->  NaN  Invalid_operation

ddrem745 remainder  sNaN  0     ->  NaN  Invalid_operation

ddrem746 remainder  sNaN  1     ->  NaN  Invalid_operation

ddrem747 remainder  sNaN  1000  ->  NaN  Invalid_operation

ddrem749 remainder  sNaN  NaN   ->  NaN  Invalid_operation

ddrem750 remainder  sNaN sNaN   ->  NaN  Invalid_operation

ddrem751 remainder  NaN  sNaN   ->  NaN  Invalid_operation

ddrem752 remainder -Inf  sNaN   ->  NaN  Invalid_operation

ddrem753 remainder -1000 sNaN   ->  NaN  Invalid_operation

ddrem754 remainder -1    sNaN   ->  NaN  Invalid_operation

ddrem755 remainder -0    sNaN   ->  NaN  Invalid_operation

ddrem756 remainder  0    sNaN   ->  NaN  Invalid_operation

ddrem757 remainder  1    sNaN   ->  NaN  Invalid_operation

ddrem758 remainder  1000 sNaN   ->  NaN  Invalid_operation

ddrem759 remainder  Inf -sNaN   -> -NaN  Invalid_operation

-- propaging NaNs

ddrem760 remainder  NaN1   NaN7   ->  NaN1

ddrem761 remainder sNaN2   NaN8   ->  NaN2 Invalid_operation

ddrem762 remainder  NaN3  sNaN9   ->  NaN9 Invalid_operation

ddrem763 remainder sNaN4  sNaN10  ->  NaN4 Invalid_operation

ddrem764 remainder    15   NaN11  ->  NaN11

ddrem765 remainder  NaN6   NaN12  ->  NaN6

ddrem766 remainder  Inf    NaN13  ->  NaN13

ddrem767 remainder  NaN14  -Inf   ->  NaN14

ddrem768 remainder    0    NaN15  ->  NaN15

ddrem769 remainder  NaN16   -0    ->  NaN16

-- edge cases of impossible

ddrem770  remainder  1234567890123456  10    ->  6

ddrem771  remainder  1234567890123456   1    ->  0

ddrem772  remainder  1234567890123456   0.1  ->  NaN Division_impossible

ddrem773  remainder  1234567890123456   0.01 ->  NaN Division_impossible

-- long operand checks

ddrem801 remainder 12345678000 100 -> 0

ddrem802 remainder 1 12345678000   -> 1

ddrem803 remainder 1234567800  10  -> 0

ddrem804 remainder 1 1234567800    -> 1

ddrem805 remainder 1234567890  10  -> 0

ddrem806 remainder 1 1234567890    -> 1

ddrem807 remainder 1234567891  10  -> 1

ddrem808 remainder 1 1234567891    -> 1

ddrem809 remainder 12345678901 100 -> 1

ddrem810 remainder 1 12345678901   -> 1

ddrem811 remainder 1234567896  10  -> 6

ddrem812 remainder 1 1234567896    -> 1

ddrem821 remainder 12345678000 100 -> 0

ddrem822 remainder 1 12345678000   -> 1

ddrem823 remainder 1234567800  10  -> 0

ddrem824 remainder 1 1234567800    -> 1

ddrem825 remainder 1234567890  10  -> 0

ddrem826 remainder 1 1234567890    -> 1

ddrem827 remainder 1234567891  10  -> 1

ddrem828 remainder 1 1234567891    -> 1

ddrem829 remainder 12345678901 100 -> 1

ddrem830 remainder 1 12345678901   -> 1

ddrem831 remainder 1234567896  10  -> 6

ddrem832 remainder 1 1234567896    -> 1

-- from divideint

ddrem840 remainder  100000000.0   1  ->  0.0

ddrem841 remainder  100000000.4   1  ->  0.4

ddrem842 remainder  100000000.5   1  ->  0.5

ddrem843 remainder  100000000.9   1  ->  0.9

ddrem844 remainder  100000000.999 1  ->  0.999

ddrem850 remainder  100000003     5  ->  3

ddrem851 remainder  10000003      5  ->  3

ddrem852 remainder  1000003       5  ->  3

ddrem853 remainder  100003        5  ->  3

ddrem854 remainder  10003         5  ->  3

ddrem855 remainder  1003          5  ->  3

ddrem856 remainder  103           5  ->  3

ddrem857 remainder  13            5  ->  3

ddrem858 remainder  1             5  ->  1

-- Vladimir's cases         1234567890123456

ddrem860 remainder 123.0e1 1000000000000000  -> 1230

ddrem861 remainder 1230    1000000000000000  -> 1230

ddrem862 remainder 12.3e2  1000000000000000  -> 1230

ddrem863 remainder 1.23e3  1000000000000000  -> 1230

ddrem864 remainder 123e1   1000000000000000  -> 1230

ddrem870 remainder 123e1    1000000000000000 -> 1230

ddrem871 remainder 123e1     100000000000000 -> 1230

ddrem872 remainder 123e1      10000000000000 -> 1230

ddrem873 remainder 123e1       1000000000000 -> 1230

ddrem874 remainder 123e1        100000000000 -> 1230

ddrem875 remainder 123e1         10000000000 -> 1230

ddrem876 remainder 123e1          1000000000 -> 1230

ddrem877 remainder 123e1           100000000 -> 1230

ddrem878 remainder 1230            100000000 -> 1230

ddrem879 remainder 123e1            10000000 -> 1230

ddrem880 remainder 123e1             1000000 -> 1230

ddrem881 remainder 123e1              100000 -> 1230

ddrem882 remainder 123e1               10000 -> 1230

ddrem883 remainder 123e1                1000 ->  230

ddrem884 remainder 123e1                 100 ->   30

ddrem885 remainder 123e1                  10 ->    0

ddrem886 remainder 123e1                   1 ->    0

ddrem890 remainder 123e1    2000000000000000 -> 1230

ddrem891 remainder 123e1     200000000000000 -> 1230

ddrem892 remainder 123e1      20000000000000 -> 1230

ddrem893 remainder 123e1       2000000000000 -> 1230

ddrem894 remainder 123e1        200000000000 -> 1230

ddrem895 remainder 123e1         20000000000 -> 1230

ddrem896 remainder 123e1          2000000000 -> 1230

ddrem897 remainder 123e1           200000000 -> 1230

ddrem899 remainder 123e1            20000000 -> 1230

ddrem900 remainder 123e1             2000000 -> 1230

ddrem901 remainder 123e1              200000 -> 1230

ddrem902 remainder 123e1               20000 -> 1230

ddrem903 remainder 123e1                2000 -> 1230

ddrem904 remainder 123e1                 200 ->   30

ddrem905 remainder 123e1                  20 ->   10

ddrem906 remainder 123e1                   2 ->    0

ddrem910 remainder 123e1    5000000000000000 -> 1230

ddrem911 remainder 123e1     500000000000000 -> 1230