ddRemainderNear.decTest

------------------------------------------------------------------------
-- 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: 2.59

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