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

-- remainderNear.decTest -- decimal remainder-near (IEEE remainder)   --

-- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --

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

-- Please see the document "General Decimal Arithmetic Testcases"     --

-- at http://www2.hursley.ibm.com/decimal for the description of      --

-- these testcases.                                                   --

--                                                                    --

-- These testcases are experimental ('beta' versions), and they       --

-- may contain errors.  They are offered on an as-is basis.  In       --

-- particular, achieving the same results as the tests here is not    --

-- a guarantee that an implementation complies with any Standard      --

-- or specification.  The tests are not exhaustive.                   --

--                                                                    --

-- Please send comments, suggestions, and corrections to the author:  --

--   Mike Cowlishaw, IBM Fellow                                       --

--   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --

--   mfc@uk.ibm.com                                                   --

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

version: 2.58

extended:    1

precision:   9

rounding:    half_up

maxExponent: 384

minexponent: -383

rmnx001 remaindernear  1     1    ->  0

rmnx002 remaindernear  2     1    ->  0

rmnx003 remaindernear  1     2    ->  1

rmnx004 remaindernear  2     2    ->  0

rmnx005 remaindernear  0     1    ->  0

rmnx006 remaindernear  0     2    ->  0

rmnx007 remaindernear  1     3    ->  1

rmnx008 remaindernear  2     3    -> -1

rmnx009 remaindernear  3     3    ->  0

rmnx010 remaindernear  2.4   1    ->  0.4

rmnx011 remaindernear  2.4   -1   ->  0.4

rmnx012 remaindernear  -2.4  1    ->  -0.4

rmnx013 remaindernear  -2.4  -1   ->  -0.4

rmnx014 remaindernear  2.40  1    ->  0.40

rmnx015 remaindernear  2.400 1    ->  0.400

rmnx016 remaindernear  2.4   2    ->  0.4

rmnx017 remaindernear  2.400 2    ->  0.400

rmnx018 remaindernear  2.    2    ->  0

rmnx019 remaindernear  20    20   ->  0

rmnx020 remaindernear  187   187    ->  0

rmnx021 remaindernear  5     2      ->  1

rmnx022 remaindernear  5     2.0    ->  1.0

rmnx023 remaindernear  5     2.000  ->  1.000

rmnx024 remaindernear  5     0.200  ->  0.000

rmnx025 remaindernear  5     0.200  ->  0.000

rmnx030 remaindernear  1     2      ->  1

rmnx031 remaindernear  1     4      ->  1

rmnx032 remaindernear  1     8      ->  1

rmnx033 remaindernear  1     16     ->  1

rmnx034 remaindernear  1     32     ->  1

rmnx035 remaindernear  1     64     ->  1

rmnx040 remaindernear  1    -2      ->  1

rmnx041 remaindernear  1    -4      ->  1

rmnx042 remaindernear  1    -8      ->  1

rmnx043 remaindernear  1    -16     ->  1

rmnx044 remaindernear  1    -32     ->  1

rmnx045 remaindernear  1    -64     ->  1

rmnx050 remaindernear -1     2      ->  -1

rmnx051 remaindernear -1     4      ->  -1

rmnx052 remaindernear -1     8      ->  -1

rmnx053 remaindernear -1     16     ->  -1

rmnx054 remaindernear -1     32     ->  -1

rmnx055 remaindernear -1     64     ->  -1

rmnx060 remaindernear -1    -2      ->  -1

rmnx061 remaindernear -1    -4      ->  -1

rmnx062 remaindernear -1    -8      ->  -1

rmnx063 remaindernear -1    -16     ->  -1

rmnx064 remaindernear -1    -32     ->  -1

rmnx065 remaindernear -1    -64     ->  -1

rmnx066 remaindernear  999999997     1  -> 0

rmnx067 remaindernear  999999997.4   1  -> 0.4

rmnx068 remaindernear  999999997.5   1  -> -0.5

rmnx069 remaindernear  999999997.9   1  -> -0.1

rmnx070 remaindernear  999999997.999 1  -> -0.001

rmnx071 remaindernear  999999998     1  -> 0

rmnx072 remaindernear  999999998.4   1  -> 0.4

rmnx073 remaindernear  999999998.5   1  -> 0.5

rmnx074 remaindernear  999999998.9   1  -> -0.1

rmnx075 remaindernear  999999998.999 1  -> -0.001

rmnx076 remaindernear  999999999     1  -> 0

rmnx077 remaindernear  999999999.4   1  -> 0.4

rmnx078 remaindernear  999999999.5   1  -> NaN Division_impossible

rmnx079 remaindernear  999999999.9   1  -> NaN Division_impossible

rmnx080 remaindernear  999999999.999 1  -> NaN Division_impossible

precision: 6

rmnx081 remaindernear  999999999     1  -> NaN Division_impossible

rmnx082 remaindernear  99999999      1  -> NaN Division_impossible

rmnx083 remaindernear  9999999       1  -> NaN Division_impossible

rmnx084 remaindernear  999999        1  -> 0

rmnx085 remaindernear  99999         1  -> 0

rmnx086 remaindernear  9999          1  -> 0

rmnx087 remaindernear  999           1  -> 0

rmnx088 remaindernear  99            1  -> 0

rmnx089 remaindernear  9             1  -> 0

precision: 9

rmnx090 remaindernear  0.            1  -> 0

rmnx091 remaindernear  .0            1  -> 0.0

rmnx092 remaindernear  0.00          1  -> 0.00

rmnx093 remaindernear  0.00E+9       1  -> 0

rmnx094 remaindernear  0.0000E-50    1  -> 0E-54

-- Various flavours of remaindernear by 0

precision: 9

maxexponent: 999999999

minexponent: -999999999

rmnx101 remaindernear  0       0   -> NaN Division_undefined

rmnx102 remaindernear  0      -0   -> NaN Division_undefined

rmnx103 remaindernear -0       0   -> NaN Division_undefined

rmnx104 remaindernear -0      -0   -> NaN Division_undefined

rmnx105 remaindernear  0.0E5   0   -> NaN Division_undefined

rmnx106 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

-- remaindernear-near, anyway]

rmnx107 remaindernear  0.0001  0   -> NaN Invalid_operation

rmnx108 remaindernear  0.01    0   -> NaN Invalid_operation

rmnx109 remaindernear  0.1     0   -> NaN Invalid_operation

rmnx110 remaindernear  1       0   -> NaN Invalid_operation

rmnx111 remaindernear  1       0.0 -> NaN Invalid_operation

rmnx112 remaindernear 10       0.0 -> NaN Invalid_operation

rmnx113 remaindernear 1E+100   0.0 -> NaN Invalid_operation

rmnx114 remaindernear 1E+1000  0   -> NaN Invalid_operation

rmnx115 remaindernear  0.0001 -0   -> NaN Invalid_operation

rmnx116 remaindernear  0.01   -0   -> NaN Invalid_operation

rmnx119 remaindernear  0.1    -0   -> NaN Invalid_operation

rmnx120 remaindernear  1      -0   -> NaN Invalid_operation

rmnx121 remaindernear  1      -0.0 -> NaN Invalid_operation

rmnx122 remaindernear 10      -0.0 -> NaN Invalid_operation

rmnx123 remaindernear 1E+100  -0.0 -> NaN Invalid_operation

rmnx124 remaindernear 1E+1000 -0   -> NaN Invalid_operation

-- and zeros on left

rmnx130 remaindernear  0      1   ->  0

rmnx131 remaindernear  0     -1   ->  0

rmnx132 remaindernear  0.0    1   ->  0.0

rmnx133 remaindernear  0.0   -1   ->  0.0

rmnx134 remaindernear -0      1   -> -0

rmnx135 remaindernear -0     -1   -> -0

rmnx136 remaindernear -0.0    1   -> -0.0

rmnx137 remaindernear -0.0   -1   -> -0.0

-- 0.5ers

rmmx143 remaindernear   0.5  2     ->  0.5

rmmx144 remaindernear   0.5  2.1   ->  0.5

rmmx145 remaindernear   0.5  2.01  ->  0.50

rmmx146 remaindernear   0.5  2.001 ->  0.500

rmmx147 remaindernear   0.50 2     ->  0.50

rmmx148 remaindernear   0.50 2.01  ->  0.50

rmmx149 remaindernear   0.50 2.001 ->  0.500

-- some differences from remainder

rmnx150 remaindernear   0.4  1.020 ->  0.400

rmnx151 remaindernear   0.50 1.020 ->  0.500

rmnx152 remaindernear   0.51 1.020 ->  0.510

rmnx153 remaindernear   0.52 1.020 -> -0.500

rmnx154 remaindernear   0.6  1.020 -> -0.420

rmnx155 remaindernear   0.49 1     ->  0.49

rmnx156 remaindernear   0.50 1     ->  0.50

rmnx157 remaindernear   1.50 1     -> -0.50

rmnx158 remaindernear   2.50 1     ->  0.50

rmnx159 remaindernear   9.50 1     -> -0.50

rmnx160 remaindernear   0.51 1     -> -0.49

-- the nasty division-by-1 cases

rmnx161 remaindernear   0.4         1   ->  0.4

rmnx162 remaindernear   0.45        1   ->  0.45

rmnx163 remaindernear   0.455       1   ->  0.455

rmnx164 remaindernear   0.4555      1   ->  0.4555

rmnx165 remaindernear   0.45555     1   ->  0.45555

rmnx166 remaindernear   0.455555    1   ->  0.455555

rmnx167 remaindernear   0.4555555   1   ->  0.4555555

rmnx168 remaindernear   0.45555555  1   ->  0.45555555

rmnx169 remaindernear   0.455555555 1   ->  0.455555555

-- with spill...

rmnx171 remaindernear   0.5         1   ->  0.5

rmnx172 remaindernear   0.55        1   -> -0.45

rmnx173 remaindernear   0.555       1   -> -0.445

rmnx174 remaindernear   0.5555      1   -> -0.4445

rmnx175 remaindernear   0.55555     1   -> -0.44445

rmnx176 remaindernear   0.555555    1   -> -0.444445

rmnx177 remaindernear   0.5555555   1   -> -0.4444445

rmnx178 remaindernear   0.55555555  1   -> -0.44444445

rmnx179 remaindernear   0.555555555 1   -> -0.444444445

-- progression

rmnx180 remaindernear  1  1   -> 0

rmnx181 remaindernear  1  2   -> 1

rmnx182 remaindernear  1  3   -> 1

rmnx183 remaindernear  1  4   -> 1

rmnx184 remaindernear  1  5   -> 1

rmnx185 remaindernear  1  6   -> 1

rmnx186 remaindernear  1  7   -> 1

rmnx187 remaindernear  1  8   -> 1

rmnx188 remaindernear  1  9   -> 1

rmnx189 remaindernear  1  10  -> 1

rmnx190 remaindernear  1  1   -> 0

rmnx191 remaindernear  2  1   -> 0

rmnx192 remaindernear  3  1   -> 0

rmnx193 remaindernear  4  1   -> 0

rmnx194 remaindernear  5  1   -> 0

rmnx195 remaindernear  6  1   -> 0

rmnx196 remaindernear  7  1   -> 0

rmnx197 remaindernear  8  1   -> 0

rmnx198 remaindernear  9  1   -> 0

rmnx199 remaindernear  10 1   -> 0

-- Various flavours of remaindernear by 0

maxexponent: 999999999

minexponent: -999999999

rmnx201 remaindernear  0      0   -> NaN Division_undefined

rmnx202 remaindernear  0.0E5  0   -> NaN Division_undefined

rmnx203 remaindernear  0.000  0   -> NaN Division_undefined

rmnx204 remaindernear  0.0001 0   -> NaN Invalid_operation

rmnx205 remaindernear  0.01   0   -> NaN Invalid_operation

rmnx206 remaindernear  0.1    0   -> NaN Invalid_operation

rmnx207 remaindernear  1      0   -> NaN Invalid_operation

rmnx208 remaindernear  1      0.0 -> NaN Invalid_operation

rmnx209 remaindernear 10      0.0 -> NaN Invalid_operation

rmnx210 remaindernear 1E+100  0.0 -> NaN Invalid_operation

rmnx211 remaindernear 1E+1000 0   -> NaN Invalid_operation

-- tests from the extended specification

rmnx221 remaindernear 2.1     3   -> -0.9

rmnx222 remaindernear  10     6   -> -2

rmnx223 remaindernear  10     3   ->  1

rmnx224 remaindernear -10     3   -> -1

rmnx225 remaindernear  10.2   1   -> 0.2

rmnx226 remaindernear  10     0.3 -> 0.1

rmnx227 remaindernear   3.6   1.3 -> -0.3

-- some differences from remainder

rmnx231 remaindernear   0.4  1.020 ->  0.400

rmnx232 remaindernear   0.50 1.020 ->  0.500

rmnx233 remaindernear   0.51 1.020 ->  0.510

rmnx234 remaindernear   0.52 1.020 -> -0.500

rmnx235 remaindernear   0.6  1.020 -> -0.420

-- test some cases that are close to exponent overflow

maxexponent: 999999999

minexponent: -999999999

rmnx270 remaindernear 1 1e999999999    -> 1

rmnx271 remaindernear 1 0.9e999999999  -> 1

rmnx272 remaindernear 1 0.99e999999999 -> 1

rmnx273 remaindernear 1 0.999999999e999999999 -> 1

rmnx274 remaindernear 9e999999999          1 -> NaN Division_impossible

rmnx275 remaindernear 9.9e999999999        1 -> NaN Division_impossible

rmnx276 remaindernear 9.99e999999999       1 -> NaN Division_impossible

rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible

rmnx280 remaindernear 0.1 9e-999999999       -> NaN Division_impossible

rmnx281 remaindernear 0.1 99e-999999999      -> NaN Division_impossible

rmnx282 remaindernear 0.1 999e-999999999     -> NaN Division_impossible

rmnx283 remaindernear 0.1 9e-999999998       -> NaN Division_impossible

rmnx284 remaindernear 0.1 99e-999999998      -> NaN Division_impossible

rmnx285 remaindernear 0.1 999e-999999998     -> NaN Division_impossible

rmnx286 remaindernear 0.1 999e-999999997     -> NaN Division_impossible

rmnx287 remaindernear 0.1 9999e-999999997    -> NaN Division_impossible

rmnx288 remaindernear 0.1 99999e-999999997   -> NaN Division_impossible

-- rmnx3xx are from DiagBigDecimal

rmnx301 remaindernear   1    3     ->  1

rmnx302 remaindernear   5    5     ->  0

rmnx303 remaindernear   13   10    ->  3

rmnx304 remaindernear   13   50    ->  13

rmnx305 remaindernear   13   100   ->  13

rmnx306 remaindernear   13   1000  ->  13

rmnx307 remaindernear   .13    1   ->  0.13

rmnx308 remaindernear   0.133  1   ->  0.133

rmnx309 remaindernear   0.1033 1   ->  0.1033

rmnx310 remaindernear   1.033  1   ->  0.033

rmnx311 remaindernear   10.33  1   ->  0.33

rmnx312 remaindernear   10.33 10   ->  0.33

rmnx313 remaindernear   103.3  1   ->  0.3

rmnx314 remaindernear   133   10   ->  3

rmnx315 remaindernear   1033  10   ->  3

rmnx316 remaindernear   1033  50   -> -17

rmnx317 remaindernear   101.0  3   -> -1.0

rmnx318 remaindernear   102.0  3   ->  0.0

rmnx319 remaindernear   103.0  3   ->  1.0

rmnx320 remaindernear   2.40   1   ->  0.40

rmnx321 remaindernear   2.400  1   ->  0.400

rmnx322 remaindernear   2.4    1   ->  0.4

rmnx323 remaindernear   2.4    2   ->  0.4

rmnx324 remaindernear   2.400  2   ->  0.400

rmnx325 remaindernear   1   0.3    ->  0.1

rmnx326 remaindernear   1   0.30   ->  0.10

rmnx327 remaindernear   1   0.300  ->  0.100

rmnx328 remaindernear   1   0.3000 ->  0.1000

rmnx329 remaindernear   1.0    0.3 ->  0.1

rmnx330 remaindernear   1.00   0.3 ->  0.10

rmnx331 remaindernear   1.000  0.3 ->  0.100

rmnx332 remaindernear   1.0000 0.3 ->  0.1000

rmnx333 remaindernear   0.5  2     ->  0.5

rmnx334 remaindernear   0.5  2.1   ->  0.5

rmnx335 remaindernear   0.5  2.01  ->  0.50

rmnx336 remaindernear   0.5  2.001 ->  0.500

rmnx337 remaindernear   0.50 2     ->  0.50

rmnx338 remaindernear   0.50 2.01  ->  0.50

rmnx339 remaindernear   0.50 2.001 ->  0.500

rmnx340 remaindernear   0.5   0.5000001    ->  -1E-7

rmnx341 remaindernear   0.5   0.50000001    ->  -1E-8

rmnx342 remaindernear   0.5   0.500000001    ->  -1E-9

rmnx343 remaindernear   0.5   0.5000000001    ->  -1E-10

rmnx344 remaindernear   0.5   0.50000000001    ->  -1E-11

rmnx345 remaindernear   0.5   0.4999999    ->  1E-7

rmnx346 remaindernear   0.5   0.49999999    ->  1E-8

rmnx347 remaindernear   0.5   0.499999999    ->  1E-9

rmnx348 remaindernear   0.5   0.4999999999    ->  1E-10

rmnx349 remaindernear   0.5   0.49999999999    ->  1E-11

rmnx350 remaindernear   0.03  7  ->  0.03

rmnx351 remaindernear   5   2    ->  1

rmnx352 remaindernear   4.1   2    ->  0.1

rmnx353 remaindernear   4.01   2    ->  0.01

rmnx354 remaindernear   4.001   2    ->  0.001

rmnx355 remaindernear   4.0001   2    ->  0.0001

rmnx356 remaindernear   4.00001   2    ->  0.00001

rmnx357 remaindernear   4.000001   2    ->  0.000001

rmnx358 remaindernear   4.0000001   2    ->  1E-7

rmnx360 remaindernear   1.2   0.7345 -> -0.2690

rmnx361 remaindernear   0.8   12     ->  0.8

rmnx362 remaindernear   0.8   0.2    ->  0.0

rmnx363 remaindernear   0.8   0.3    -> -0.1

rmnx364 remaindernear   0.800   12   ->  0.800

rmnx365 remaindernear   0.800   1.7  ->  0.800

rmnx366 remaindernear   2.400   2    ->  0.400

precision: 6

rmnx371 remaindernear   2.400  2        ->  0.400

precision: 3

rmnx372 remaindernear   12345678900000 12e+12 -> 3.46E+11 Inexact Rounded

precision: 5

rmnx381 remaindernear 12345  1         ->  0

rmnx382 remaindernear 12345  1.0001    -> -0.2344

rmnx383 remaindernear 12345  1.001     -> -0.333

rmnx384 remaindernear 12345  1.01      -> -0.23

rmnx385 remaindernear 12345  1.1       -> -0.3

rmnx386 remaindernear 12355  4         -> -1

rmnx387 remaindernear 12345  4         ->  1

rmnx388 remaindernear 12355  4.0001    -> -1.3089

rmnx389 remaindernear 12345  4.0001    ->  0.6914

rmnx390 remaindernear 12345  4.9       ->  1.9

rmnx391 remaindernear 12345  4.99      -> -0.26

rmnx392 remaindernear 12345  4.999     ->  2.469

rmnx393 remaindernear 12345  4.9999    ->  0.2469

rmnx394 remaindernear 12345  5         ->  0

rmnx395 remaindernear 12345  5.0001    -> -0.2469

rmnx396 remaindernear 12345  5.001     -> -2.469

rmnx397 remaindernear 12345  5.01      ->  0.36

rmnx398 remaindernear 12345  5.1       -> -2.1

precision: 9

-- some nasty division-by-1 cases [some similar above]

rmnx401 remaindernear   0.4         1   ->  0.4

rmnx402 remaindernear   0.45        1   ->  0.45

rmnx403 remaindernear   0.455       1   ->  0.455

rmnx404 remaindernear   0.4555      1   ->  0.4555

rmnx405 remaindernear   0.45555     1   ->  0.45555

rmnx406 remaindernear   0.455555    1   ->  0.455555

rmnx407 remaindernear   0.4555555   1   ->  0.4555555

rmnx408 remaindernear   0.45555555  1   ->  0.45555555

rmnx409 remaindernear   0.455555555 1   ->  0.455555555

-- some tricky LHSs

rmnx420 remaindernear   99999999.999999999   1E+8   -> -1E-9

rmnx421 remaindernear  999999999.999999999   1E+9   -> -1E-9

precision: 9

rmnx430 remaindernear   0.455555555 1   ->  0.455555555

precision: 8

rmnx431 remaindernear   0.455555555 1   ->  0.45555556 Inexact Rounded

precision: 7

rmnx432 remaindernear   0.455555555 1   ->  0.4555556  Inexact Rounded

precision: 6

rmnx433 remaindernear   0.455555555 1   ->  0.455556   Inexact Rounded

precision: 5

rmnx434 remaindernear   0.455555555 1   ->  0.45556    Inexact Rounded

precision: 4

rmnx435 remaindernear   0.455555555 1   ->  0.4556     Inexact Rounded

precision: 3

rmnx436 remaindernear   0.455555555 1   ->  0.456      Inexact Rounded

precision: 2

rmnx437 remaindernear   0.455555555 1   ->  0.46       Inexact Rounded

precision: 1

rmnx438 remaindernear   0.455555555 1   ->  0.5        Inexact Rounded

-- early tests; from text descriptions

precision: 9

rmnx601 remaindernear  10   6  -> -2

rmnx602 remaindernear -10   6  -> 2

rmnx603 remaindernear  11   3  -> -1

rmnx604 remaindernear  11   5  -> 1

rmnx605 remaindernear   7.7 8  -> -0.3

rmnx606 remaindernear  31.5 3  -> 1.5    -- i=10

rmnx607 remaindernear  34.5 3  -> -1.5   -- i=11

-- zero signs

rmnx650 remaindernear  1  1 ->  0

rmnx651 remaindernear -1  1 -> -0

rmnx652 remaindernear  1 -1 ->  0

rmnx653 remaindernear -1 -1 -> -0

rmnx654 remaindernear  0  1 ->  0

rmnx655 remaindernear -0  1 -> -0

rmnx656 remaindernear  0 -1 ->  0

rmnx657 remaindernear -0 -1 -> -0

rmnx658 remaindernear  0.00  1  ->  0.00

rmnx659 remaindernear -0.00  1  -> -0.00

-- Specials

rmnx680 remaindernear  Inf  -Inf   ->  NaN Invalid_operation

rmnx681 remaindernear  Inf  -1000  ->  NaN Invalid_operation

rmnx682 remaindernear  Inf  -1     ->  NaN Invalid_operation

rmnx683 remaindernear  Inf   0     ->  NaN Invalid_operation

rmnx684 remaindernear  Inf  -0     ->  NaN Invalid_operation

rmnx685 remaindernear  Inf   1     ->  NaN Invalid_operation

rmnx686 remaindernear  Inf   1000  ->  NaN Invalid_operation

rmnx687 remaindernear  Inf   Inf   ->  NaN Invalid_operation

rmnx688 remaindernear -1000  Inf   -> -1000

rmnx689 remaindernear -Inf   Inf   ->  NaN Invalid_operation

rmnx691 remaindernear -1     Inf   -> -1

rmnx692 remaindernear  0     Inf   ->  0

rmnx693 remaindernear -0     Inf   -> -0

rmnx694 remaindernear  1     Inf   ->  1

rmnx695 remaindernear  1000  Inf   ->  1000

rmnx696 remaindernear  Inf   Inf   ->  NaN Invalid_operation

rmnx700 remaindernear -Inf  -Inf   ->  NaN Invalid_operation

rmnx701 remaindernear -Inf  -1000  ->  NaN Invalid_operation

rmnx702 remaindernear -Inf  -1     ->  NaN Invalid_operation

rmnx703 remaindernear -Inf  -0     ->  NaN Invalid_operation

rmnx704 remaindernear -Inf   0     ->  NaN Invalid_operation

rmnx705 remaindernear -Inf   1     ->  NaN Invalid_operation

rmnx706 remaindernear -Inf   1000  ->  NaN Invalid_operation

rmnx707 remaindernear -Inf   Inf   ->  NaN Invalid_operation

rmnx708 remaindernear -Inf  -Inf   ->  NaN Invalid_operation

rmnx709 remaindernear -1000  Inf   -> -1000

rmnx710 remaindernear -1    -Inf   -> -1

rmnx711 remaindernear -0    -Inf   -> -0

rmnx712 remaindernear  0    -Inf   ->  0

rmnx713 remaindernear  1    -Inf   ->  1

rmnx714 remaindernear  1000 -Inf   ->  1000

rmnx715 remaindernear  Inf  -Inf   ->  NaN Invalid_operation

rmnx721 remaindernear  NaN -Inf    ->  NaN

rmnx722 remaindernear  NaN -1000   ->  NaN

rmnx723 remaindernear  NaN -1      ->  NaN

rmnx724 remaindernear  NaN -0      ->  NaN

rmnx725 remaindernear  NaN  0      ->  NaN

rmnx726 remaindernear  NaN  1      ->  NaN

rmnx727 remaindernear  NaN  1000   ->  NaN

rmnx728 remaindernear  NaN  Inf    ->  NaN

rmnx729 remaindernear  NaN  NaN    ->  NaN

rmnx730 remaindernear -Inf  NaN    ->  NaN

rmnx731 remaindernear -1000 NaN    ->  NaN

rmnx732 remaindernear -1   -NaN    -> -NaN

rmnx733 remaindernear -0    NaN    ->  NaN

rmnx734 remaindernear  0    NaN    ->  NaN

rmnx735 remaindernear  1    NaN    ->  NaN

rmnx736 remaindernear  1000 NaN    ->  NaN

rmnx737 remaindernear  Inf  NaN    ->  NaN

rmnx741 remaindernear  sNaN -Inf   ->  NaN  Invalid_operation

rmnx742 remaindernear  sNaN -1000  ->  NaN  Invalid_operation

rmnx743 remaindernear -sNaN -1     -> -NaN  Invalid_operation

rmnx744 remaindernear  sNaN -0     ->  NaN  Invalid_operation

rmnx745 remaindernear  sNaN  0     ->  NaN  Invalid_operation

rmnx746 remaindernear  sNaN  1     ->  NaN  Invalid_operation

rmnx747 remaindernear  sNaN  1000  ->  NaN  Invalid_operation

rmnx749 remaindernear  sNaN  NaN   ->  NaN  Invalid_operation

rmnx750 remaindernear  sNaN sNaN   ->  NaN  Invalid_operation

rmnx751 remaindernear  NaN  sNaN   ->  NaN  Invalid_operation

rmnx752 remaindernear -Inf  sNaN   ->  NaN  Invalid_operation

rmnx753 remaindernear -1000 sNaN   ->  NaN  Invalid_operation

rmnx754 remaindernear -1    sNaN   ->  NaN  Invalid_operation

rmnx755 remaindernear -0   -sNaN   -> -NaN  Invalid_operation

rmnx756 remaindernear  0    sNaN   ->  NaN  Invalid_operation

rmnx757 remaindernear  1    sNaN   ->  NaN  Invalid_operation

rmnx758 remaindernear  1000 sNaN   ->  NaN  Invalid_operation

rmnx759 remaindernear  Inf  sNaN   ->  NaN  Invalid_operation

rmnx760 remaindernear  NaN  sNaN   ->  NaN  Invalid_operation

-- propaging NaNs

rmnx761 remaindernear  NaN1   NaN7   ->  NaN1

rmnx762 remaindernear sNaN2   NaN8   ->  NaN2 Invalid_operation

rmnx763 remaindernear  NaN3 -sNaN9   -> -NaN9 Invalid_operation

rmnx764 remaindernear sNaN4  sNaN10  ->  NaN4 Invalid_operation

rmnx765 remaindernear    15   NaN11  ->  NaN11

rmnx766 remaindernear  NaN6   NaN12  ->  NaN6

rmnx767 remaindernear  Inf   -NaN13  -> -NaN13

rmnx768 remaindernear  NaN14  -Inf   ->  NaN14

rmnx769 remaindernear    0    NaN15  ->  NaN15

rmnx770 remaindernear -NaN16   -0    -> -NaN16

-- test some cases that are close to exponent overflow

maxexponent: 999999999

minexponent: -999999999

rmnx780 remaindernear 1 1e999999999    -> 1

rmnx781 remaindernear 1 0.9e999999999  -> 1

rmnx782 remaindernear 1 0.99e999999999 -> 1

rmnx783 remaindernear 1 0.999999999e999999999 -> 1

rmnx784 remaindernear 9e999999999          1 -> NaN Division_impossible

rmnx785 remaindernear 9.9e999999999        1 -> NaN Division_impossible

rmnx786 remaindernear 9.99e999999999       1 -> NaN Division_impossible

rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible

-- overflow and underflow tests [from divide]

precision: 9

maxexponent: 999999999