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

-- ddRemainderNear.decTest -- decDouble remainder-near                --

-- 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)

ddrmn001 remaindernear  1     1    ->  0

ddrmn002 remaindernear  2     1    ->  0

ddrmn003 remaindernear  1     2    ->  1

ddrmn004 remaindernear  2     2    ->  0

ddrmn005 remaindernear  0     1    ->  0

ddrmn006 remaindernear  0     2    ->  0

ddrmn007 remaindernear  1     3    ->  1

ddrmn008 remaindernear  2     3    -> -1

ddrmn009 remaindernear  3     3    ->  0



ddrmn010 remaindernear  2.4   1    ->  0.4

ddrmn011 remaindernear  2.4   -1   ->  0.4

ddrmn012 remaindernear  -2.4  1    ->  -0.4

ddrmn013 remaindernear  -2.4  -1   ->  -0.4

ddrmn014 remaindernear  2.40  1    ->  0.40

ddrmn015 remaindernear  2.400 1    ->  0.400

ddrmn016 remaindernear  2.4   2    ->  0.4

ddrmn017 remaindernear  2.400 2    ->  0.400

ddrmn018 remaindernear  2.    2    ->  0

ddrmn019 remaindernear  20    20   ->  0



ddrmn020 remaindernear  187   187    ->  0

ddrmn021 remaindernear  5     2      ->  1

ddrmn022 remaindernear  5     2.0    ->  1.0

ddrmn023 remaindernear  5     2.000  ->  1.000

ddrmn024 remaindernear  5     0.200  ->  0.000

ddrmn025 remaindernear  5     0.200  ->  0.000



ddrmn030 remaindernear  1     2      ->  1

ddrmn031 remaindernear  1     4      ->  1

ddrmn032 remaindernear  1     8      ->  1



ddrmn033 remaindernear  1     16     ->  1

ddrmn034 remaindernear  1     32     ->  1

ddrmn035 remaindernear  1     64     ->  1

ddrmn040 remaindernear  1    -2      ->  1

ddrmn041 remaindernear  1    -4      ->  1

ddrmn042 remaindernear  1    -8      ->  1

ddrmn043 remaindernear  1    -16     ->  1

ddrmn044 remaindernear  1    -32     ->  1

ddrmn045 remaindernear  1    -64     ->  1

ddrmn050 remaindernear -1     2      ->  -1

ddrmn051 remaindernear -1     4      ->  -1

ddrmn052 remaindernear -1     8      ->  -1

ddrmn053 remaindernear -1     16     ->  -1

ddrmn054 remaindernear -1     32     ->  -1

ddrmn055 remaindernear -1     64     ->  -1

ddrmn060 remaindernear -1    -2      ->  -1

ddrmn061 remaindernear -1    -4      ->  -1

ddrmn062 remaindernear -1    -8      ->  -1

ddrmn063 remaindernear -1    -16     ->  -1

ddrmn064 remaindernear -1    -32     ->  -1

ddrmn065 remaindernear -1    -64     ->  -1



ddrmn066 remaindernear          9.9   1  -> -0.1

ddrmn067 remaindernear         99.7   1  -> -0.3

ddrmn068 remaindernear  999999999     1  -> 0

ddrmn069 remaindernear  999999999.4   1  -> 0.4

ddrmn070 remaindernear  999999999.5   1  -> -0.5

ddrmn071 remaindernear  999999999.9   1  -> -0.1

ddrmn072 remaindernear  999999999.999 1  -> -0.001

ddrmn073 remaindernear  999999.999999 1  -> -0.000001

ddrmn074 remaindernear  9             1  -> 0

ddrmn075 remaindernear  9999999999999999 1  -> 0

ddrmn076 remaindernear  9999999999999999 2  -> -1

ddrmn077 remaindernear  9999999999999999 3  -> 0

ddrmn078 remaindernear  9999999999999999 4  -> -1



ddrmn080 remaindernear  0.            1  -> 0

ddrmn081 remaindernear  .0            1  -> 0.0

ddrmn082 remaindernear  0.00          1  -> 0.00

ddrmn083 remaindernear  0.00E+9       1  -> 0

ddrmn084 remaindernear  0.00E+3       1  -> 0

ddrmn085 remaindernear  0.00E+2       1  -> 0

ddrmn086 remaindernear  0.00E+1       1  -> 0.0

ddrmn087 remaindernear  0.00E+0       1  -> 0.00

ddrmn088 remaindernear  0.00E-0       1  -> 0.00

ddrmn089 remaindernear  0.00E-1       1  -> 0.000

ddrmn090 remaindernear  0.00E-2       1  -> 0.0000

ddrmn091 remaindernear  0.00E-3       1  -> 0.00000

ddrmn092 remaindernear  0.00E-4       1  -> 0.000000

ddrmn093 remaindernear  0.00E-5       1  -> 0E-7

ddrmn094 remaindernear  0.00E-6       1  -> 0E-8

ddrmn095 remaindernear  0.0000E-50    1  -> 0E-54



-- Various flavours of remaindernear by 0

ddrmn101 remaindernear  0       0   -> NaN Division_undefined

ddrmn102 remaindernear  0      -0   -> NaN Division_undefined

ddrmn103 remaindernear -0       0   -> NaN Division_undefined

ddrmn104 remaindernear -0      -0   -> NaN Division_undefined

ddrmn105 remaindernear  0.0E5   0   -> NaN Division_undefined

ddrmn106 remaindernear  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]

ddrmn107 remaindernear  0.0001  0   -> NaN Invalid_operation

ddrmn108 remaindernear  0.01    0   -> NaN Invalid_operation

ddrmn109 remaindernear  0.1     0   -> NaN Invalid_operation

ddrmn110 remaindernear  1       0   -> NaN Invalid_operation

ddrmn111 remaindernear  1       0.0 -> NaN Invalid_operation

ddrmn112 remaindernear 10       0.0 -> NaN Invalid_operation

ddrmn113 remaindernear 1E+100   0.0 -> NaN Invalid_operation

ddrmn114 remaindernear 1E+380   0   -> NaN Invalid_operation

ddrmn115 remaindernear  0.0001 -0   -> NaN Invalid_operation

ddrmn116 remaindernear  0.01   -0   -> NaN Invalid_operation

ddrmn119 remaindernear  0.1    -0   -> NaN Invalid_operation

ddrmn120 remaindernear  1      -0   -> NaN Invalid_operation

ddrmn121 remaindernear  1      -0.0 -> NaN Invalid_operation

ddrmn122 remaindernear 10      -0.0 -> NaN Invalid_operation

ddrmn123 remaindernear 1E+100  -0.0 -> NaN Invalid_operation

ddrmn124 remaindernear 1E+384  -0   -> NaN Invalid_operation

-- and zeros on left

ddrmn130 remaindernear  0      1   ->  0

ddrmn131 remaindernear  0     -1   ->  0

ddrmn132 remaindernear  0.0    1   ->  0.0

ddrmn133 remaindernear  0.0   -1   ->  0.0

ddrmn134 remaindernear -0      1   -> -0

ddrmn135 remaindernear -0     -1   -> -0

ddrmn136 remaindernear -0.0    1   -> -0.0

ddrmn137 remaindernear -0.0   -1   -> -0.0



-- 0.5ers

ddrmn143 remaindernear   0.5  2     ->  0.5

ddrmn144 remaindernear   0.5  2.1   ->  0.5

ddrmn145 remaindernear   0.5  2.01  ->  0.50

ddrmn146 remaindernear   0.5  2.001 ->  0.500

ddrmn147 remaindernear   0.50 2     ->  0.50

ddrmn148 remaindernear   0.50 2.01  ->  0.50

ddrmn149 remaindernear   0.50 2.001 ->  0.500



-- steadies

ddrmn150 remaindernear  1  1   -> 0

ddrmn151 remaindernear  1  2   -> 1

ddrmn152 remaindernear  1  3   -> 1

ddrmn153 remaindernear  1  4   -> 1

ddrmn154 remaindernear  1  5   -> 1

ddrmn155 remaindernear  1  6   -> 1

ddrmn156 remaindernear  1  7   -> 1

ddrmn157 remaindernear  1  8   -> 1

ddrmn158 remaindernear  1  9   -> 1

ddrmn159 remaindernear  1  10  -> 1

ddrmn160 remaindernear  1  1   -> 0

ddrmn161 remaindernear  2  1   -> 0

ddrmn162 remaindernear  3  1   -> 0

ddrmn163 remaindernear  4  1   -> 0

ddrmn164 remaindernear  5  1   -> 0

ddrmn165 remaindernear  6  1   -> 0

ddrmn166 remaindernear  7  1   -> 0

ddrmn167 remaindernear  8  1   -> 0

ddrmn168 remaindernear  9  1   -> 0

ddrmn169 remaindernear  10 1   -> 0



-- some differences from remainder

ddrmn171 remaindernear   0.4  1.020 ->  0.400

ddrmn172 remaindernear   0.50 1.020 ->  0.500

ddrmn173 remaindernear   0.51 1.020 ->  0.510

ddrmn174 remaindernear   0.52 1.020 -> -0.500

ddrmn175 remaindernear   0.6  1.020 -> -0.420



-- More flavours of remaindernear by 0

ddrmn201 remaindernear  0      0   -> NaN Division_undefined

ddrmn202 remaindernear  0.0E5  0   -> NaN Division_undefined

ddrmn203 remaindernear  0.000  0   -> NaN Division_undefined

ddrmn204 remaindernear  0.0001 0   -> NaN Invalid_operation

ddrmn205 remaindernear  0.01   0   -> NaN Invalid_operation

ddrmn206 remaindernear  0.1    0   -> NaN Invalid_operation

ddrmn207 remaindernear  1      0   -> NaN Invalid_operation

ddrmn208 remaindernear  1      0.0 -> NaN Invalid_operation

ddrmn209 remaindernear 10      0.0 -> NaN Invalid_operation

ddrmn210 remaindernear 1E+100  0.0 -> NaN Invalid_operation

ddrmn211 remaindernear 1E+380  0   -> NaN Invalid_operation



-- tests from the extended specification

ddrmn221 remaindernear 2.1     3   -> -0.9

ddrmn222 remaindernear  10     6   -> -2

ddrmn223 remaindernear  10     3   ->  1

ddrmn224 remaindernear -10     3   -> -1

ddrmn225 remaindernear  10.2   1   -> 0.2

ddrmn226 remaindernear  10     0.3 -> 0.1

ddrmn227 remaindernear   3.6   1.3 -> -0.3



-- some differences from remainder

ddrmn231 remaindernear  -0.4  1.020 -> -0.400

ddrmn232 remaindernear  -0.50 1.020 -> -0.500

ddrmn233 remaindernear  -0.51 1.020 -> -0.510

ddrmn234 remaindernear  -0.52 1.020 ->  0.500

ddrmn235 remaindernear  -0.6  1.020 ->  0.420



-- high Xs

ddrmn240 remaindernear  1E+2  1.00  ->  0.00



-- ddrmn3xx are from DiagBigDecimal

ddrmn301 remaindernear   1    3     ->  1

ddrmn302 remaindernear   5    5     ->  0

ddrmn303 remaindernear   13   10    ->  3

ddrmn304 remaindernear   13   50    ->  13

ddrmn305 remaindernear   13   100   ->  13

ddrmn306 remaindernear   13   1000  ->  13

ddrmn307 remaindernear   .13    1   ->  0.13

ddrmn308 remaindernear   0.133  1   ->  0.133

ddrmn309 remaindernear   0.1033 1   ->  0.1033

ddrmn310 remaindernear   1.033  1   ->  0.033

ddrmn311 remaindernear   10.33  1   ->  0.33

ddrmn312 remaindernear   10.33 10   ->  0.33

ddrmn313 remaindernear   103.3  1   ->  0.3

ddrmn314 remaindernear   133   10   ->  3

ddrmn315 remaindernear   1033  10   ->  3

ddrmn316 remaindernear   1033  50   -> -17

ddrmn317 remaindernear   101.0  3   -> -1.0

ddrmn318 remaindernear   102.0  3   ->  0.0

ddrmn319 remaindernear   103.0  3   ->  1.0

ddrmn320 remaindernear   2.40   1   ->  0.40

ddrmn321 remaindernear   2.400  1   ->  0.400

ddrmn322 remaindernear   2.4    1   ->  0.4

ddrmn323 remaindernear   2.4    2   ->  0.4

ddrmn324 remaindernear   2.400  2   ->  0.400

ddrmn325 remaindernear   1   0.3    ->  0.1

ddrmn326 remaindernear   1   0.30   ->  0.10

ddrmn327 remaindernear   1   0.300  ->  0.100

ddrmn328 remaindernear   1   0.3000 ->  0.1000

ddrmn329 remaindernear   1.0    0.3 ->  0.1

ddrmn330 remaindernear   1.00   0.3 ->  0.10

ddrmn331 remaindernear   1.000  0.3 ->  0.100

ddrmn332 remaindernear   1.0000 0.3 ->  0.1000

ddrmn333 remaindernear   0.5  2     ->  0.5

ddrmn334 remaindernear   0.5  2.1   ->  0.5

ddrmn335 remaindernear   0.5  2.01  ->  0.50

ddrmn336 remaindernear   0.5  2.001 ->  0.500

ddrmn337 remaindernear   0.50 2     ->  0.50

ddrmn338 remaindernear   0.50 2.01  ->  0.50

ddrmn339 remaindernear   0.50 2.001 ->  0.500



ddrmn340 remaindernear   0.5   0.5000001    ->  -1E-7

ddrmn341 remaindernear   0.5   0.50000001    ->  -1E-8

ddrmn342 remaindernear   0.5   0.500000001    ->  -1E-9

ddrmn343 remaindernear   0.5   0.5000000001    ->  -1E-10

ddrmn344 remaindernear   0.5   0.50000000001    ->  -1E-11

ddrmn345 remaindernear   0.5   0.4999999    ->  1E-7

ddrmn346 remaindernear   0.5   0.49999999    ->  1E-8

ddrmn347 remaindernear   0.5   0.499999999    ->  1E-9

ddrmn348 remaindernear   0.5   0.4999999999    ->  1E-10

ddrmn349 remaindernear   0.5   0.49999999999    ->  1E-11

ddrmn350 remaindernear   0.5   0.499999999999    ->  1E-12



ddrmn351 remaindernear   0.03  7  ->  0.03

ddrmn352 remaindernear   5   2    ->  1

ddrmn353 remaindernear   4.1   2    ->  0.1

ddrmn354 remaindernear   4.01   2    ->  0.01

ddrmn355 remaindernear   4.001   2    ->  0.001

ddrmn356 remaindernear   4.0001   2    ->  0.0001

ddrmn357 remaindernear   4.00001   2    ->  0.00001

ddrmn358 remaindernear   4.000001   2    ->  0.000001

ddrmn359 remaindernear   4.0000001   2    ->  1E-7



ddrmn360 remaindernear   1.2   0.7345 -> -0.2690

ddrmn361 remaindernear   0.8   12     ->  0.8

ddrmn362 remaindernear   0.8   0.2    ->  0.0

ddrmn363 remaindernear   0.8   0.3    -> -0.1

ddrmn364 remaindernear   0.800   12   ->  0.800

ddrmn365 remaindernear   0.800   1.7  ->  0.800

ddrmn366 remaindernear   2.400   2    ->  0.400



-- round to even

ddrmn371 remaindernear   121     2    ->  1

ddrmn372 remaindernear   122     2    ->  0

ddrmn373 remaindernear   123     2    -> -1

ddrmn374 remaindernear   124     2    ->  0

ddrmn375 remaindernear   125     2    ->  1

ddrmn376 remaindernear   126     2    ->  0

ddrmn377 remaindernear   127     2    -> -1



ddrmn381 remaindernear 12345  1         ->  0

ddrmn382 remaindernear 12345  1.0001    -> -0.2344

ddrmn383 remaindernear 12345  1.001     -> -0.333

ddrmn384 remaindernear 12345  1.01      -> -0.23

ddrmn385 remaindernear 12345  1.1       -> -0.3

ddrmn386 remaindernear 12355  4         -> -1

ddrmn387 remaindernear 12345  4         ->  1

ddrmn388 remaindernear 12355  4.0001    -> -1.3089

ddrmn389 remaindernear 12345  4.0001    ->  0.6914

ddrmn390 remaindernear 12345  4.9       ->  1.9

ddrmn391 remaindernear 12345  4.99      -> -0.26

ddrmn392 remaindernear 12345  4.999     ->  2.469

ddrmn393 remaindernear 12345  4.9999    ->  0.2469

ddrmn394 remaindernear 12345  5         ->  0

ddrmn395 remaindernear 12345  5.0001    -> -0.2469

ddrmn396 remaindernear 12345  5.001     -> -2.469

ddrmn397 remaindernear 12345  5.01      ->  0.36

ddrmn398 remaindernear 12345  5.1       -> -2.1



-- the nasty division-by-1 cases

ddrmn401 remaindernear   0.4         1   ->  0.4

ddrmn402 remaindernear   0.45        1   ->  0.45

ddrmn403 remaindernear   0.455       1   ->  0.455

ddrmn404 remaindernear   0.4555      1   ->  0.4555

ddrmn405 remaindernear   0.45555     1   ->  0.45555

ddrmn406 remaindernear   0.455555    1   ->  0.455555

ddrmn407 remaindernear   0.4555555   1   ->  0.4555555

ddrmn408 remaindernear   0.45555555  1   ->  0.45555555

ddrmn409 remaindernear   0.455555555 1   ->  0.455555555

-- with spill... [412 exercises sticktab loop]

ddrmn411 remaindernear   0.5         1   ->  0.5

ddrmn412 remaindernear   0.55        1   -> -0.45

ddrmn413 remaindernear   0.555       1   -> -0.445

ddrmn414 remaindernear   0.5555      1   -> -0.4445

ddrmn415 remaindernear   0.55555     1   -> -0.44445

ddrmn416 remaindernear   0.555555    1   -> -0.444445

ddrmn417 remaindernear   0.5555555   1   -> -0.4444445

ddrmn418 remaindernear   0.55555555  1   -> -0.44444445

ddrmn419 remaindernear   0.555555555 1   -> -0.444444445



-- folddowns

ddrmn421 remaindernear   1E+384       1  ->   NaN Division_impossible

ddrmn422 remaindernear   1E+384  1E+383  ->   0E+369 Clamped

ddrmn423 remaindernear   1E+384  2E+383  ->   0E+369 Clamped

ddrmn424 remaindernear   1E+384  3E+383  ->   1.00000000000000E+383 Clamped

ddrmn425 remaindernear   1E+384  4E+383  ->   2.00000000000000E+383 Clamped

ddrmn426 remaindernear   1E+384  5E+383  ->   0E+369 Clamped

ddrmn427 remaindernear   1E+384  6E+383  ->  -2.00000000000000E+383 Clamped

ddrmn428 remaindernear   1E+384  7E+383  ->   3.00000000000000E+383 Clamped

ddrmn429 remaindernear   1E+384  8E+383  ->   2.00000000000000E+383 Clamped

ddrmn430 remaindernear   1E+384  9E+383  ->   1.00000000000000E+383 Clamped

-- tinies

ddrmn431 remaindernear   1E-397  1E-398  ->   0E-398

ddrmn432 remaindernear   1E-397  2E-398  ->   0E-398

ddrmn433 remaindernear   1E-397  3E-398  ->   1E-398 Subnormal

ddrmn434 remaindernear   1E-397  4E-398  ->   2E-398 Subnormal

ddrmn435 remaindernear   1E-397  5E-398  ->   0E-398

ddrmn436 remaindernear   1E-397  6E-398  ->  -2E-398 Subnormal

ddrmn437 remaindernear   1E-397  7E-398  ->   3E-398 Subnormal

ddrmn438 remaindernear   1E-397  8E-398  ->   2E-398 Subnormal

ddrmn439 remaindernear   1E-397  9E-398  ->   1E-398 Subnormal

ddrmn440 remaindernear   1E-397 10E-398  ->   0E-398

ddrmn441 remaindernear   1E-397 11E-398  ->  -1E-398 Subnormal

ddrmn442 remaindernear 100E-397 11E-398  ->  -1E-398 Subnormal

ddrmn443 remaindernear 100E-397 20E-398  ->   0E-398

ddrmn444 remaindernear 100E-397 21E-398  ->  -8E-398 Subnormal

ddrmn445 remaindernear 100E-397 30E-398  -> 1.0E-397 Subnormal



-- zero signs

ddrmn650 remaindernear  1  1 ->  0

ddrmn651 remaindernear -1  1 -> -0

ddrmn652 remaindernear  1 -1 ->  0

ddrmn653 remaindernear -1 -1 -> -0

ddrmn654 remaindernear  0  1 ->  0

ddrmn655 remaindernear -0  1 -> -0

ddrmn656 remaindernear  0 -1 ->  0

ddrmn657 remaindernear -0 -1 -> -0

ddrmn658 remaindernear  0.00  1  ->  0.00

ddrmn659 remaindernear -0.00  1  -> -0.00



-- Specials

ddrmn680 remaindernear  Inf  -Inf   ->  NaN Invalid_operation

ddrmn681 remaindernear  Inf  -1000  ->  NaN Invalid_operation

ddrmn682 remaindernear  Inf  -1     ->  NaN Invalid_operation

ddrmn683 remaindernear  Inf   0     ->  NaN Invalid_operation

ddrmn684 remaindernear  Inf  -0     ->  NaN Invalid_operation

ddrmn685 remaindernear  Inf   1     ->  NaN Invalid_operation

ddrmn686 remaindernear  Inf   1000  ->  NaN Invalid_operation

ddrmn687 remaindernear  Inf   Inf   ->  NaN Invalid_operation

ddrmn688 remaindernear -1000  Inf   -> -1000

ddrmn689 remaindernear -Inf   Inf   ->  NaN Invalid_operation

ddrmn691 remaindernear -1     Inf   -> -1

ddrmn692 remaindernear  0     Inf   ->  0

ddrmn693 remaindernear -0     Inf   -> -0

ddrmn694 remaindernear  1     Inf   ->  1

ddrmn695 remaindernear  1000  Inf   ->  1000

ddrmn696 remaindernear  Inf   Inf   ->  NaN Invalid_operation



ddrmn700 remaindernear -Inf  -Inf   ->  NaN Invalid_operation

ddrmn701 remaindernear -Inf  -1000  ->  NaN Invalid_operation

ddrmn702 remaindernear -Inf  -1     ->  NaN Invalid_operation

ddrmn703 remaindernear -Inf  -0     ->  NaN Invalid_operation

ddrmn704 remaindernear -Inf   0     ->  NaN Invalid_operation

ddrmn705 remaindernear -Inf   1     ->  NaN Invalid_operation

ddrmn706 remaindernear -Inf   1000  ->  NaN Invalid_operation

ddrmn707 remaindernear -Inf   Inf   ->  NaN Invalid_operation

ddrmn708 remaindernear -Inf  -Inf   ->  NaN Invalid_operation

ddrmn709 remaindernear -1000  Inf   -> -1000

ddrmn710 remaindernear -1    -Inf   -> -1

ddrmn711 remaindernear -0    -Inf   -> -0

ddrmn712 remaindernear  0    -Inf   ->  0

ddrmn713 remaindernear  1    -Inf   ->  1

ddrmn714 remaindernear  1000 -Inf   ->  1000

ddrmn715 remaindernear  Inf  -Inf   ->  NaN Invalid_operation



ddrmn721 remaindernear  NaN -Inf    ->  NaN

ddrmn722 remaindernear  NaN -1000   ->  NaN

ddrmn723 remaindernear  NaN -1      ->  NaN

ddrmn724 remaindernear  NaN -0      ->  NaN

ddrmn725 remaindernear -NaN  0      -> -NaN

ddrmn726 remaindernear  NaN  1      ->  NaN

ddrmn727 remaindernear  NaN  1000   ->  NaN

ddrmn728 remaindernear  NaN  Inf    ->  NaN

ddrmn729 remaindernear  NaN -NaN    ->  NaN

ddrmn730 remaindernear -Inf  NaN    ->  NaN

ddrmn731 remaindernear -1000 NaN    ->  NaN

ddrmn732 remaindernear -1    NaN    ->  NaN

ddrmn733 remaindernear -0   -NaN    -> -NaN

ddrmn734 remaindernear  0    NaN    ->  NaN

ddrmn735 remaindernear  1   -NaN    -> -NaN

ddrmn736 remaindernear  1000 NaN    ->  NaN

ddrmn737 remaindernear  Inf  NaN    ->  NaN



ddrmn741 remaindernear  sNaN -Inf   ->  NaN  Invalid_operation

ddrmn742 remaindernear  sNaN -1000  ->  NaN  Invalid_operation

ddrmn743 remaindernear -sNaN -1     -> -NaN  Invalid_operation

ddrmn744 remaindernear  sNaN -0     ->  NaN  Invalid_operation

ddrmn745 remaindernear  sNaN  0     ->  NaN  Invalid_operation

ddrmn746 remaindernear  sNaN  1     ->  NaN  Invalid_operation

ddrmn747 remaindernear  sNaN  1000  ->  NaN  Invalid_operation

ddrmn749 remaindernear  sNaN  NaN   ->  NaN  Invalid_operation

ddrmn750 remaindernear  sNaN sNaN   ->  NaN  Invalid_operation

ddrmn751 remaindernear  NaN  sNaN   ->  NaN  Invalid_operation

ddrmn752 remaindernear -Inf  sNaN   ->  NaN  Invalid_operation

ddrmn753 remaindernear -1000 sNaN   ->  NaN  Invalid_operation

ddrmn754 remaindernear -1    sNaN   ->  NaN  Invalid_operation

ddrmn755 remaindernear -0    sNaN   ->  NaN  Invalid_operation

ddrmn756 remaindernear  0    sNaN   ->  NaN  Invalid_operation

ddrmn757 remaindernear  1    sNaN   ->  NaN  Invalid_operation

ddrmn758 remaindernear  1000 sNaN   ->  NaN  Invalid_operation

ddrmn759 remaindernear  Inf -sNaN   -> -NaN  Invalid_operation



-- propaging NaNs

ddrmn760 remaindernear  NaN1   NaN7   ->  NaN1

ddrmn761 remaindernear sNaN2   NaN8   ->  NaN2 Invalid_operation

ddrmn762 remaindernear  NaN3  sNaN9   ->  NaN9 Invalid_operation

ddrmn763 remaindernear sNaN4  sNaN10  ->  NaN4 Invalid_operation

ddrmn764 remaindernear    15   NaN11  ->  NaN11

ddrmn765 remaindernear  NaN6   NaN12  ->  NaN6

ddrmn766 remaindernear  Inf    NaN13  ->  NaN13

ddrmn767 remaindernear  NaN14  -Inf   ->  NaN14

ddrmn768 remaindernear    0    NaN15  ->  NaN15

ddrmn769 remaindernear  NaN16   -0    ->  NaN16



-- edge cases of impossible

ddrmn770  remaindernear  1234567890123456  10    -> -4

ddrmn771  remaindernear  1234567890123456   1    ->  0

ddrmn772  remaindernear  1234567890123456   0.1  ->  NaN Division_impossible

ddrmn773  remaindernear  1234567890123456   0.01 ->  NaN Division_impossible



-- long operand checks

ddrmn801 remaindernear 12345678000 100 -> 0

ddrmn802 remaindernear 1 12345678000   -> 1

ddrmn803 remaindernear 1234567800  10  -> 0

ddrmn804 remaindernear 1 1234567800    -> 1

ddrmn805 remaindernear 1234567890  10  -> 0

ddrmn806 remaindernear 1 1234567890    -> 1

ddrmn807 remaindernear 1234567891  10  -> 1

ddrmn808 remaindernear 1 1234567891    -> 1

ddrmn809 remaindernear 12345678901 100 -> 1

ddrmn810 remaindernear 1 12345678901   -> 1

ddrmn811 remaindernear 1234567896  10  -> -4

ddrmn812 remaindernear 1 1234567896    -> 1



ddrmn821 remaindernear 12345678000 100 -> 0

ddrmn822 remaindernear 1 12345678000   -> 1

ddrmn823 remaindernear 1234567800  10  -> 0

ddrmn824 remaindernear 1 1234567800    -> 1

ddrmn825 remaindernear 1234567890  10  -> 0

ddrmn826 remaindernear 1 1234567890    -> 1

ddrmn827 remaindernear 1234567891  10  -> 1

ddrmn828 remaindernear 1 1234567891    -> 1

ddrmn829 remaindernear 12345678901 100 -> 1

ddrmn830 remaindernear 1 12345678901   -> 1

ddrmn831 remaindernear 1234567896  10  -> -4

ddrmn832 remaindernear 1 1234567896    -> 1



-- from divideint

ddrmn840 remaindernear  100000000.0   1  ->  0.0

ddrmn841 remaindernear  100000000.4   1  ->  0.4

ddrmn842 remaindernear  100000000.5   1  ->  0.5

ddrmn843 remaindernear  100000000.9   1  -> -0.1

ddrmn844 remaindernear  100000000.999 1  -> -0.001

ddrmn850 remaindernear  100000003     5  -> -2

ddrmn851 remaindernear  10000003      5  -> -2

ddrmn852 remaindernear  1000003       5  -> -2

ddrmn853 remaindernear  100003        5  -> -2

ddrmn854 remaindernear  10003         5  -> -2

ddrmn855 remaindernear  1003          5  -> -2

ddrmn856 remaindernear  103           5  -> -2

ddrmn857 remaindernear  13            5  -> -2

ddrmn858 remaindernear  1             5  ->  1



-- Vladimir's cases         1234567890123456

ddrmn860 remaindernear 123.0e1 1000000000000000  -> 1230

ddrmn861 remaindernear 1230    1000000000000000  -> 1230

ddrmn862 remaindernear 12.3e2  1000000000000000  -> 1230

ddrmn863 remaindernear 1.23e3  1000000000000000  -> 1230

ddrmn864 remaindernear 123e1   1000000000000000  -> 1230

ddrmn870 remaindernear 123e1    1000000000000000 -> 1230

ddrmn871 remaindernear 123e1     100000000000000 -> 1230

ddrmn872 remaindernear 123e1      10000000000000 -> 1230

ddrmn873 remaindernear 123e1       1000000000000 -> 1230

ddrmn874 remaindernear 123e1        100000000000 -> 1230

ddrmn875 remaindernear 123e1         10000000000 -> 1230

ddrmn876 remaindernear 123e1          1000000000 -> 1230

ddrmn877 remaindernear 123e1           100000000 -> 1230

ddrmn878 remaindernear 1230            100000000 -> 1230

ddrmn879 remaindernear 123e1            10000000 -> 1230

ddrmn880 remaindernear 123e1             1000000 -> 1230

ddrmn881 remaindernear 123e1              100000 -> 1230

ddrmn882 remaindernear 123e1               10000 -> 1230

ddrmn883 remaindernear 123e1                1000 ->  230

ddrmn884 remaindernear 123e1                 100 ->   30

ddrmn885 remaindernear 123e1                  10 ->    0

ddrmn886 remaindernear 123e1                   1 ->    0



ddrmn890 remaindernear 123e1    2000000000000000 -> 1230

ddrmn891 remaindernear 123e1     200000000000000 -> 1230

ddrmn892 remaindernear 123e1      20000000000000 -> 1230

ddrmn893 remaindernear 123e1       2000000000000 -> 1230

ddrmn894 remaindernear 123e1        200000000000 -> 1230

ddrmn895 remaindernear 123e1         20000000000 -> 1230

ddrmn896 remaindernear 123e1          2000000000 -> 1230

ddrmn897 remaindernear 123e1           200000000 -> 1230

ddrmn899 remaindernear 123e1            20000000 -> 1230

ddrmn900 remaindernear 123e1             2000000 -> 1230

ddrmn901 remaindernear 123e1              200000 -> 1230

ddrmn902 remaindernear 123e1               20000 -> 1230

ddrmn903 remaindernear 123e1                2000 -> -770

ddrmn904 remaindernear 123e1                 200 ->   30

ddrmn905 remaindernear 123e1                  20 ->  -10

ddrmn906 remaindernear 123e1                   2 ->    0



ddrmn910 remaindernear 123e1    5000000000000000 -> 1230

ddrmn911 remaindernear 123e1     500000000000000 -> 1230

ddrmn912 remaindernear 123e1      50000000000000 -> 1230

ddrmn913 remaindernear 123e1       5000000000000 -> 1230

ddrmn914 remaindernear 123e1        500000000000 -> 1230

ddrmn915 remaindernear 123e1         50000000000 -> 1230

ddrmn916 remaindernear 123e1          5000000000 -> 1230

ddrmn917 remaindernear 123e1           500000000 -> 1230

ddrmn919 remaindernear 123e1            50000000 -> 1230

ddrmn920 remaindernear 123e1             5000000 -> 1230

ddrmn921 remaindernear 123e1              500000 -> 1230

ddrmn922 remaindernear 123e1               50000 -> 1230

ddrmn923 remaindernear 123e1                5000 -> 1230

ddrmn924 remaindernear 123e1                 500 ->  230

ddrmn925 remaindernear 123e1                  50 ->  -20

ddrmn926 remaindernear 123e1                   5 ->    0



ddrmn930 remaindernear 123e1    9000000000000000 -> 1230

ddrmn931 remaindernear 123e1     900000000000000 -> 1230

ddrmn932 remaindernear 123e1      90000000000000 -> 1230

ddrmn933 remaindernear 123e1       9000000000000 -> 1230

ddrmn934 remaindernear 123e1        900000000000 -> 1230

ddrmn935 remaindernear 123e1         90000000000 -> 1230

ddrmn936 remaindernear 123e1          9000000000 -> 1230

ddrmn937 remaindernear 123e1           900000000 -> 1230

ddrmn939 remaindernear 123e1            90000000 -> 1230

ddrmn940 remaindernear 123e1             9000000 -> 1230

ddrmn941 remaindernear 123e1              900000 -> 1230

ddrmn942 remaindernear 123e1               90000 -> 1230

ddrmn943 remaindernear 123e1                9000 -> 1230

ddrmn944 remaindernear 123e1                 900 ->  330

ddrmn945 remaindernear 123e1                  90 ->  -30

ddrmn946 remaindernear 123e1                   9 ->   -3



ddrmn950 remaindernear 123e1   1000000000000000 -> 1230

ddrmn961 remaindernear 123e1   2999999999999999 -> 1230

ddrmn962 remaindernear 123e1   3999999999999999 -> 1230

ddrmn963 remaindernear 123e1   4999999999999999 -> 1230

ddrmn964 remaindernear 123e1   5999999999999999 -> 1230

ddrmn965 remaindernear 123e1   6999999999999999 -> 1230

ddrmn966 remaindernear 123e1   7999999999999999 -> 1230

ddrmn967 remaindernear 123e1   8999999999999999 -> 1230

ddrmn968 remaindernear 123e1   9999999999999999 -> 1230

ddrmn969 remaindernear 123e1   9876543210987654 -> 1230



ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3  -- 123E+1 internally





-- overflow and underflow tests [from divide]

ddrmn1051 remaindernear  1e+277  1e-311 ->  NaN Division_impossible

ddrmn1052 remaindernear  1e+277 -1e-311 ->  NaN Division_impossible

ddrmn1053 remaindernear -1e+277  1e-311 ->  NaN Division_impossible

ddrmn1054 remaindernear -1e+277 -1e-311 ->  NaN Division_impossible

ddrmn1055 remaindernear  1e-277  1e+311 ->  1E-277

ddrmn1056 remaindernear  1e-277 -1e+311 ->  1E-277

ddrmn1057 remaindernear -1e-277  1e+311 -> -1E-277

ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277



-- destructive subtract

ddrmn1100 remainderNear  1234567890123456  1.000000000000001  ->  -0.234567890123455

ddrmn1101 remainderNear  1234567890123456   1.00000000000001  ->   -0.34567890123444

ddrmn1102 remainderNear  1234567890123456    1.0000000000001  ->    -0.4567890123333

ddrmn1103 remainderNear  1234567890123455  4.000000000000001  ->  -1.308641972530864

ddrmn1104 remainderNear  1234567890123456  4.000000000000001  ->  -0.308641972530864

ddrmn1115 remainderNear  1234567890123456    4.9999999999999  ->     0.6913578024696

ddrmn1116 remainderNear  1234567890123456   4.99999999999999  ->   -1.53086421975308

ddrmn1117 remainderNear  1234567890123456  4.999999999999999  ->   1.246913578024691

ddrmn1118 remainderNear  1234567890123456  5.000000000000001  ->   0.753086421975309

ddrmn1119 remainderNear  1234567890123456   5.00000000000001  ->   -1.46913578024691

ddrmn1110 remainderNear  1234567890123456    5.0000000000001  ->     1.3086421975314



-- Null tests

ddrmn1000 remaindernear 10  # -> NaN Invalid_operation

ddrmn1001 remaindernear  # 10 -> NaN Invalid_operation



