python-2.5.2/win32/Lib/test/decimaltestdata/remainderNear.decTest
changeset 0 ae805ac0140d
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/python-2.5.2/win32/Lib/test/decimaltestdata/remainderNear.decTest	Fri Apr 03 17:19:34 2009 +0100
@@ -0,0 +1,572 @@
+------------------------------------------------------------------------
+-- remainderNear.decTest -- decimal remainder-near (IEEE remainder)   --
+-- Copyright (c) IBM Corporation, 1981, 2007.  All rights reserved.   --
+------------------------------------------------------------------------
+-- Please see the document "General Decimal Arithmetic Testcases"     --
+-- at http://www2.hursley.ibm.com/decimal for the description of      --
+-- these testcases.                                                   --
+--                                                                    --
+-- These testcases are experimental ('beta' versions), and they       --
+-- may contain errors.  They are offered on an as-is basis.  In       --
+-- particular, achieving the same results as the tests here is not    --
+-- a guarantee that an implementation complies with any Standard      --
+-- or specification.  The tests are not exhaustive.                   --
+--                                                                    --
+-- Please send comments, suggestions, and corrections to the author:  --
+--   Mike Cowlishaw, IBM Fellow                                       --
+--   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --
+--   mfc@uk.ibm.com                                                   --
+------------------------------------------------------------------------
+version: 2.57
+
+extended:    1
+precision:   9
+rounding:    half_up
+maxExponent: 384
+minexponent: -383
+
+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
+minexponent: -999999999
+rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded
+rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible
+rmnx792 remaindernear +0.100 9E+999999999               -> 0.100
+rmnx793 remaindernear 9E-999999999 +9.100               -> 9E-999999999
+rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded
+rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible
+rmnx797 remaindernear -0.100 9E+999999999               -> -0.100
+rmnx798 remaindernear 9E-999999999 -9.100               -> 9E-999999999
+
+-- long operands checks
+maxexponent: 999
+minexponent: -999
+precision: 9
+rmnx801 remaindernear 12345678000 100 -> 0
+rmnx802 remaindernear 1 12345678000   -> 1
+rmnx803 remaindernear 1234567800  10  -> 0
+rmnx804 remaindernear 1 1234567800    -> 1
+rmnx805 remaindernear 1234567890  10  -> 0
+rmnx806 remaindernear 1 1234567890    -> 1
+rmnx807 remaindernear 1234567891  10  -> 1
+rmnx808 remaindernear 1 1234567891    -> 1
+rmnx809 remaindernear 12345678901 100 -> 1
+rmnx810 remaindernear 1 12345678901   -> 1
+rmnx811 remaindernear 1234567896  10  -> -4
+rmnx812 remaindernear 1 1234567896    -> 1
+
+precision: 15
+rmnx841 remaindernear 12345678000 100 -> 0
+rmnx842 remaindernear 1 12345678000   -> 1
+rmnx843 remaindernear 1234567800  10  -> 0
+rmnx844 remaindernear 1 1234567800    -> 1
+rmnx845 remaindernear 1234567890  10  -> 0
+rmnx846 remaindernear 1 1234567890    -> 1
+rmnx847 remaindernear 1234567891  10  -> 1
+rmnx848 remaindernear 1 1234567891    -> 1
+rmnx849 remaindernear 12345678901 100 -> 1
+rmnx850 remaindernear 1 12345678901   -> 1
+rmnx851 remaindernear 1234567896  10  -> -4
+rmnx852 remaindernear 1 1234567896    -> 1
+
+-- Null tests
+rmnx900 remaindernear 10  # -> NaN Invalid_operation
+rmnx901 remaindernear  # 10 -> NaN Invalid_operation