573 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
			
		
		
	
	
			573 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
| ------------------------------------------------------------------------
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| -- remainderNear.decTest -- decimal remainder-near (IEEE remainder)   --
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| -- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --
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| ------------------------------------------------------------------------
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| -- Please see the document "General Decimal Arithmetic Testcases"     --
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| -- at http://www2.hursley.ibm.com/decimal for the description of      --
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| -- these testcases.                                                   --
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| --                                                                    --
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| -- These testcases are experimental ('beta' versions), and they       --
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| -- may contain errors.  They are offered on an as-is basis.  In       --
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| -- particular, achieving the same results as the tests here is not    --
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| -- a guarantee that an implementation complies with any Standard      --
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| -- or specification.  The tests are not exhaustive.                   --
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| --                                                                    --
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| -- Please send comments, suggestions, and corrections to the author:  --
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| --   Mike Cowlishaw, IBM Fellow                                       --
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| --   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --
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| --   mfc@uk.ibm.com                                                   --
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| ------------------------------------------------------------------------
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| version: 2.59
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| 
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| extended:    1
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| precision:   9
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| rounding:    half_up
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| maxExponent: 384
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| minexponent: -383
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| 
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| rmnx001 remaindernear  1     1    ->  0
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| rmnx002 remaindernear  2     1    ->  0
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| rmnx003 remaindernear  1     2    ->  1
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| rmnx004 remaindernear  2     2    ->  0
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| rmnx005 remaindernear  0     1    ->  0
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| rmnx006 remaindernear  0     2    ->  0
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| rmnx007 remaindernear  1     3    ->  1
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| rmnx008 remaindernear  2     3    -> -1
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| rmnx009 remaindernear  3     3    ->  0
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| 
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| rmnx010 remaindernear  2.4   1    ->  0.4
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| rmnx011 remaindernear  2.4   -1   ->  0.4
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| rmnx012 remaindernear  -2.4  1    ->  -0.4
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| rmnx013 remaindernear  -2.4  -1   ->  -0.4
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| rmnx014 remaindernear  2.40  1    ->  0.40
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| rmnx015 remaindernear  2.400 1    ->  0.400
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| rmnx016 remaindernear  2.4   2    ->  0.4
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| rmnx017 remaindernear  2.400 2    ->  0.400
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| rmnx018 remaindernear  2.    2    ->  0
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| rmnx019 remaindernear  20    20   ->  0
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| 
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| rmnx020 remaindernear  187   187    ->  0
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| rmnx021 remaindernear  5     2      ->  1
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| rmnx022 remaindernear  5     2.0    ->  1.0
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| rmnx023 remaindernear  5     2.000  ->  1.000
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| rmnx024 remaindernear  5     0.200  ->  0.000
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| rmnx025 remaindernear  5     0.200  ->  0.000
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| 
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| rmnx030 remaindernear  1     2      ->  1
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| rmnx031 remaindernear  1     4      ->  1
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| rmnx032 remaindernear  1     8      ->  1
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| rmnx033 remaindernear  1     16     ->  1
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| rmnx034 remaindernear  1     32     ->  1
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| rmnx035 remaindernear  1     64     ->  1
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| rmnx040 remaindernear  1    -2      ->  1
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| rmnx041 remaindernear  1    -4      ->  1
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| rmnx042 remaindernear  1    -8      ->  1
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| rmnx043 remaindernear  1    -16     ->  1
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| rmnx044 remaindernear  1    -32     ->  1
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| rmnx045 remaindernear  1    -64     ->  1
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| rmnx050 remaindernear -1     2      ->  -1
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| rmnx051 remaindernear -1     4      ->  -1
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| rmnx052 remaindernear -1     8      ->  -1
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| rmnx053 remaindernear -1     16     ->  -1
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| rmnx054 remaindernear -1     32     ->  -1
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| rmnx055 remaindernear -1     64     ->  -1
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| rmnx060 remaindernear -1    -2      ->  -1
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| rmnx061 remaindernear -1    -4      ->  -1
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| rmnx062 remaindernear -1    -8      ->  -1
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| rmnx063 remaindernear -1    -16     ->  -1
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| rmnx064 remaindernear -1    -32     ->  -1
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| rmnx065 remaindernear -1    -64     ->  -1
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| 
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| rmnx066 remaindernear  999999997     1  -> 0
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| rmnx067 remaindernear  999999997.4   1  -> 0.4
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| rmnx068 remaindernear  999999997.5   1  -> -0.5
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| rmnx069 remaindernear  999999997.9   1  -> -0.1
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| rmnx070 remaindernear  999999997.999 1  -> -0.001
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| 
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| rmnx071 remaindernear  999999998     1  -> 0
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| rmnx072 remaindernear  999999998.4   1  -> 0.4
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| rmnx073 remaindernear  999999998.5   1  -> 0.5
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| rmnx074 remaindernear  999999998.9   1  -> -0.1
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| rmnx075 remaindernear  999999998.999 1  -> -0.001
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| 
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| rmnx076 remaindernear  999999999     1  -> 0
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| rmnx077 remaindernear  999999999.4   1  -> 0.4
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| rmnx078 remaindernear  999999999.5   1  -> NaN Division_impossible
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| rmnx079 remaindernear  999999999.9   1  -> NaN Division_impossible
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| rmnx080 remaindernear  999999999.999 1  -> NaN Division_impossible
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| 
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| precision: 6
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| rmnx081 remaindernear  999999999     1  -> NaN Division_impossible
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| rmnx082 remaindernear  99999999      1  -> NaN Division_impossible
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| rmnx083 remaindernear  9999999       1  -> NaN Division_impossible
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| rmnx084 remaindernear  999999        1  -> 0
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| rmnx085 remaindernear  99999         1  -> 0
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| rmnx086 remaindernear  9999          1  -> 0
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| rmnx087 remaindernear  999           1  -> 0
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| rmnx088 remaindernear  99            1  -> 0
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| rmnx089 remaindernear  9             1  -> 0
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| 
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| precision: 9
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| rmnx090 remaindernear  0.            1  -> 0
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| rmnx091 remaindernear  .0            1  -> 0.0
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| rmnx092 remaindernear  0.00          1  -> 0.00
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| rmnx093 remaindernear  0.00E+9       1  -> 0
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| rmnx094 remaindernear  0.0000E-50    1  -> 0E-54
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| 
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| 
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| -- Various flavours of remaindernear by 0
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| precision: 9
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| maxexponent: 999999999
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| minexponent: -999999999
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| rmnx101 remaindernear  0       0   -> NaN Division_undefined
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| rmnx102 remaindernear  0      -0   -> NaN Division_undefined
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| rmnx103 remaindernear -0       0   -> NaN Division_undefined
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| rmnx104 remaindernear -0      -0   -> NaN Division_undefined
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| rmnx105 remaindernear  0.0E5   0   -> NaN Division_undefined
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| rmnx106 remaindernear  0.000   0   -> NaN Division_undefined
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| -- [Some think this next group should be Division_by_zero exception,
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| -- but IEEE 854 is explicit that it is Invalid operation .. for
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| -- remaindernear-near, anyway]
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| rmnx107 remaindernear  0.0001  0   -> NaN Invalid_operation
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| rmnx108 remaindernear  0.01    0   -> NaN Invalid_operation
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| rmnx109 remaindernear  0.1     0   -> NaN Invalid_operation
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| rmnx110 remaindernear  1       0   -> NaN Invalid_operation
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| rmnx111 remaindernear  1       0.0 -> NaN Invalid_operation
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| rmnx112 remaindernear 10       0.0 -> NaN Invalid_operation
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| rmnx113 remaindernear 1E+100   0.0 -> NaN Invalid_operation
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| rmnx114 remaindernear 1E+1000  0   -> NaN Invalid_operation
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| rmnx115 remaindernear  0.0001 -0   -> NaN Invalid_operation
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| rmnx116 remaindernear  0.01   -0   -> NaN Invalid_operation
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| rmnx119 remaindernear  0.1    -0   -> NaN Invalid_operation
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| rmnx120 remaindernear  1      -0   -> NaN Invalid_operation
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| rmnx121 remaindernear  1      -0.0 -> NaN Invalid_operation
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| rmnx122 remaindernear 10      -0.0 -> NaN Invalid_operation
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| rmnx123 remaindernear 1E+100  -0.0 -> NaN Invalid_operation
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| rmnx124 remaindernear 1E+1000 -0   -> NaN Invalid_operation
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| -- and zeros on left
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| rmnx130 remaindernear  0      1   ->  0
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| rmnx131 remaindernear  0     -1   ->  0
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| rmnx132 remaindernear  0.0    1   ->  0.0
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| rmnx133 remaindernear  0.0   -1   ->  0.0
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| rmnx134 remaindernear -0      1   -> -0
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| rmnx135 remaindernear -0     -1   -> -0
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| rmnx136 remaindernear -0.0    1   -> -0.0
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| rmnx137 remaindernear -0.0   -1   -> -0.0
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| 
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| -- 0.5ers
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| rmmx143 remaindernear   0.5  2     ->  0.5
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| rmmx144 remaindernear   0.5  2.1   ->  0.5
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| rmmx145 remaindernear   0.5  2.01  ->  0.50
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| rmmx146 remaindernear   0.5  2.001 ->  0.500
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| rmmx147 remaindernear   0.50 2     ->  0.50
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| rmmx148 remaindernear   0.50 2.01  ->  0.50
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| rmmx149 remaindernear   0.50 2.001 ->  0.500
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| 
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| -- some differences from remainder
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| rmnx150 remaindernear   0.4  1.020 ->  0.400
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| rmnx151 remaindernear   0.50 1.020 ->  0.500
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| rmnx152 remaindernear   0.51 1.020 ->  0.510
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| rmnx153 remaindernear   0.52 1.020 -> -0.500
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| rmnx154 remaindernear   0.6  1.020 -> -0.420
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| rmnx155 remaindernear   0.49 1     ->  0.49
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| rmnx156 remaindernear   0.50 1     ->  0.50
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| rmnx157 remaindernear   1.50 1     -> -0.50
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| rmnx158 remaindernear   2.50 1     ->  0.50
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| rmnx159 remaindernear   9.50 1     -> -0.50
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| rmnx160 remaindernear   0.51 1     -> -0.49
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| 
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| -- the nasty division-by-1 cases
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| rmnx161 remaindernear   0.4         1   ->  0.4
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| rmnx162 remaindernear   0.45        1   ->  0.45
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| rmnx163 remaindernear   0.455       1   ->  0.455
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| rmnx164 remaindernear   0.4555      1   ->  0.4555
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| rmnx165 remaindernear   0.45555     1   ->  0.45555
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| rmnx166 remaindernear   0.455555    1   ->  0.455555
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| rmnx167 remaindernear   0.4555555   1   ->  0.4555555
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| rmnx168 remaindernear   0.45555555  1   ->  0.45555555
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| rmnx169 remaindernear   0.455555555 1   ->  0.455555555
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| -- with spill...
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| rmnx171 remaindernear   0.5         1   ->  0.5
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| rmnx172 remaindernear   0.55        1   -> -0.45
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| rmnx173 remaindernear   0.555       1   -> -0.445
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| rmnx174 remaindernear   0.5555      1   -> -0.4445
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| rmnx175 remaindernear   0.55555     1   -> -0.44445
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| rmnx176 remaindernear   0.555555    1   -> -0.444445
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| rmnx177 remaindernear   0.5555555   1   -> -0.4444445
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| rmnx178 remaindernear   0.55555555  1   -> -0.44444445
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| rmnx179 remaindernear   0.555555555 1   -> -0.444444445
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| 
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| -- progression
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| rmnx180 remaindernear  1  1   -> 0
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| rmnx181 remaindernear  1  2   -> 1
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| rmnx182 remaindernear  1  3   -> 1
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| rmnx183 remaindernear  1  4   -> 1
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| rmnx184 remaindernear  1  5   -> 1
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| rmnx185 remaindernear  1  6   -> 1
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| rmnx186 remaindernear  1  7   -> 1
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| rmnx187 remaindernear  1  8   -> 1
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| rmnx188 remaindernear  1  9   -> 1
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| rmnx189 remaindernear  1  10  -> 1
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| rmnx190 remaindernear  1  1   -> 0
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| rmnx191 remaindernear  2  1   -> 0
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| rmnx192 remaindernear  3  1   -> 0
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| rmnx193 remaindernear  4  1   -> 0
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| rmnx194 remaindernear  5  1   -> 0
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| rmnx195 remaindernear  6  1   -> 0
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| rmnx196 remaindernear  7  1   -> 0
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| rmnx197 remaindernear  8  1   -> 0
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| rmnx198 remaindernear  9  1   -> 0
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| rmnx199 remaindernear  10 1   -> 0
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| 
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| 
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| -- Various flavours of remaindernear by 0
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| maxexponent: 999999999
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| minexponent: -999999999
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| rmnx201 remaindernear  0      0   -> NaN Division_undefined
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| rmnx202 remaindernear  0.0E5  0   -> NaN Division_undefined
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| rmnx203 remaindernear  0.000  0   -> NaN Division_undefined
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| rmnx204 remaindernear  0.0001 0   -> NaN Invalid_operation
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| rmnx205 remaindernear  0.01   0   -> NaN Invalid_operation
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| rmnx206 remaindernear  0.1    0   -> NaN Invalid_operation
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| rmnx207 remaindernear  1      0   -> NaN Invalid_operation
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| rmnx208 remaindernear  1      0.0 -> NaN Invalid_operation
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| rmnx209 remaindernear 10      0.0 -> NaN Invalid_operation
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| rmnx210 remaindernear 1E+100  0.0 -> NaN Invalid_operation
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| rmnx211 remaindernear 1E+1000 0   -> NaN Invalid_operation
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| 
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| -- tests from the extended specification
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| rmnx221 remaindernear 2.1     3   -> -0.9
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| rmnx222 remaindernear  10     6   -> -2
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| rmnx223 remaindernear  10     3   ->  1
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| rmnx224 remaindernear -10     3   -> -1
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| rmnx225 remaindernear  10.2   1   -> 0.2
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| rmnx226 remaindernear  10     0.3 -> 0.1
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| rmnx227 remaindernear   3.6   1.3 -> -0.3
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| 
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| -- some differences from remainder
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| rmnx231 remaindernear   0.4  1.020 ->  0.400
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| rmnx232 remaindernear   0.50 1.020 ->  0.500
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| rmnx233 remaindernear   0.51 1.020 ->  0.510
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| rmnx234 remaindernear   0.52 1.020 -> -0.500
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| rmnx235 remaindernear   0.6  1.020 -> -0.420
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| 
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| -- test some cases that are close to exponent overflow
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| maxexponent: 999999999
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| minexponent: -999999999
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| rmnx270 remaindernear 1 1e999999999    -> 1
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| rmnx271 remaindernear 1 0.9e999999999  -> 1
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| rmnx272 remaindernear 1 0.99e999999999 -> 1
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| rmnx273 remaindernear 1 0.999999999e999999999 -> 1
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| rmnx274 remaindernear 9e999999999          1 -> NaN Division_impossible
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| rmnx275 remaindernear 9.9e999999999        1 -> NaN Division_impossible
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| rmnx276 remaindernear 9.99e999999999       1 -> NaN Division_impossible
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| rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible
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| 
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| rmnx280 remaindernear 0.1 9e-999999999       -> NaN Division_impossible
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| rmnx281 remaindernear 0.1 99e-999999999      -> NaN Division_impossible
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| rmnx282 remaindernear 0.1 999e-999999999     -> NaN Division_impossible
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| 
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| rmnx283 remaindernear 0.1 9e-999999998       -> NaN Division_impossible
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| rmnx284 remaindernear 0.1 99e-999999998      -> NaN Division_impossible
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| rmnx285 remaindernear 0.1 999e-999999998     -> NaN Division_impossible
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| rmnx286 remaindernear 0.1 999e-999999997     -> NaN Division_impossible
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| rmnx287 remaindernear 0.1 9999e-999999997    -> NaN Division_impossible
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| rmnx288 remaindernear 0.1 99999e-999999997   -> NaN Division_impossible
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| 
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| -- rmnx3xx are from DiagBigDecimal
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| rmnx301 remaindernear   1    3     ->  1
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| rmnx302 remaindernear   5    5     ->  0
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| rmnx303 remaindernear   13   10    ->  3
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| rmnx304 remaindernear   13   50    ->  13
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| rmnx305 remaindernear   13   100   ->  13
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| rmnx306 remaindernear   13   1000  ->  13
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| rmnx307 remaindernear   .13    1   ->  0.13
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| rmnx308 remaindernear   0.133  1   ->  0.133
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| rmnx309 remaindernear   0.1033 1   ->  0.1033
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| rmnx310 remaindernear   1.033  1   ->  0.033
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| rmnx311 remaindernear   10.33  1   ->  0.33
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| rmnx312 remaindernear   10.33 10   ->  0.33
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| rmnx313 remaindernear   103.3  1   ->  0.3
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| rmnx314 remaindernear   133   10   ->  3
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| rmnx315 remaindernear   1033  10   ->  3
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| rmnx316 remaindernear   1033  50   -> -17
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| rmnx317 remaindernear   101.0  3   -> -1.0
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| rmnx318 remaindernear   102.0  3   ->  0.0
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| rmnx319 remaindernear   103.0  3   ->  1.0
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| rmnx320 remaindernear   2.40   1   ->  0.40
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| rmnx321 remaindernear   2.400  1   ->  0.400
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| rmnx322 remaindernear   2.4    1   ->  0.4
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| rmnx323 remaindernear   2.4    2   ->  0.4
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| rmnx324 remaindernear   2.400  2   ->  0.400
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| rmnx325 remaindernear   1   0.3    ->  0.1
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| rmnx326 remaindernear   1   0.30   ->  0.10
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| rmnx327 remaindernear   1   0.300  ->  0.100
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| rmnx328 remaindernear   1   0.3000 ->  0.1000
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| rmnx329 remaindernear   1.0    0.3 ->  0.1
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| rmnx330 remaindernear   1.00   0.3 ->  0.10
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| rmnx331 remaindernear   1.000  0.3 ->  0.100
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| rmnx332 remaindernear   1.0000 0.3 ->  0.1000
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| rmnx333 remaindernear   0.5  2     ->  0.5
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| rmnx334 remaindernear   0.5  2.1   ->  0.5
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| rmnx335 remaindernear   0.5  2.01  ->  0.50
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| rmnx336 remaindernear   0.5  2.001 ->  0.500
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| rmnx337 remaindernear   0.50 2     ->  0.50
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| rmnx338 remaindernear   0.50 2.01  ->  0.50
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| rmnx339 remaindernear   0.50 2.001 ->  0.500
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| 
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| rmnx340 remaindernear   0.5   0.5000001    ->  -1E-7
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| rmnx341 remaindernear   0.5   0.50000001    ->  -1E-8
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| rmnx342 remaindernear   0.5   0.500000001    ->  -1E-9
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| rmnx343 remaindernear   0.5   0.5000000001    ->  -1E-10
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| rmnx344 remaindernear   0.5   0.50000000001    ->  -1E-11
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| rmnx345 remaindernear   0.5   0.4999999    ->  1E-7
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| rmnx346 remaindernear   0.5   0.49999999    ->  1E-8
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| rmnx347 remaindernear   0.5   0.499999999    ->  1E-9
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| rmnx348 remaindernear   0.5   0.4999999999    ->  1E-10
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| rmnx349 remaindernear   0.5   0.49999999999    ->  1E-11
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| 
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| rmnx350 remaindernear   0.03  7  ->  0.03
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| rmnx351 remaindernear   5   2    ->  1
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| rmnx352 remaindernear   4.1   2    ->  0.1
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| rmnx353 remaindernear   4.01   2    ->  0.01
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| rmnx354 remaindernear   4.001   2    ->  0.001
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| rmnx355 remaindernear   4.0001   2    ->  0.0001
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| rmnx356 remaindernear   4.00001   2    ->  0.00001
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| rmnx357 remaindernear   4.000001   2    ->  0.000001
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| rmnx358 remaindernear   4.0000001   2    ->  1E-7
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| 
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| rmnx360 remaindernear   1.2   0.7345 -> -0.2690
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| rmnx361 remaindernear   0.8   12     ->  0.8
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| rmnx362 remaindernear   0.8   0.2    ->  0.0
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| rmnx363 remaindernear   0.8   0.3    -> -0.1
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| rmnx364 remaindernear   0.800   12   ->  0.800
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| rmnx365 remaindernear   0.800   1.7  ->  0.800
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| rmnx366 remaindernear   2.400   2    ->  0.400
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| 
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| precision: 6
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| rmnx371 remaindernear   2.400  2        ->  0.400
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| precision: 3
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| rmnx372 remaindernear   12345678900000 12e+12 -> 3.46E+11 Inexact Rounded
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| 
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| precision: 5
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| rmnx381 remaindernear 12345  1         ->  0
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| rmnx382 remaindernear 12345  1.0001    -> -0.2344
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| rmnx383 remaindernear 12345  1.001     -> -0.333
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| rmnx384 remaindernear 12345  1.01      -> -0.23
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| rmnx385 remaindernear 12345  1.1       -> -0.3
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| rmnx386 remaindernear 12355  4         -> -1
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| rmnx387 remaindernear 12345  4         ->  1
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| rmnx388 remaindernear 12355  4.0001    -> -1.3089
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| rmnx389 remaindernear 12345  4.0001    ->  0.6914
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| rmnx390 remaindernear 12345  4.9       ->  1.9
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| rmnx391 remaindernear 12345  4.99      -> -0.26
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| rmnx392 remaindernear 12345  4.999     ->  2.469
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| rmnx393 remaindernear 12345  4.9999    ->  0.2469
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| rmnx394 remaindernear 12345  5         ->  0
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| rmnx395 remaindernear 12345  5.0001    -> -0.2469
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| rmnx396 remaindernear 12345  5.001     -> -2.469
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| rmnx397 remaindernear 12345  5.01      ->  0.36
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| rmnx398 remaindernear 12345  5.1       -> -2.1
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| 
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| precision: 9
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| -- some nasty division-by-1 cases [some similar above]
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| rmnx401 remaindernear   0.4         1   ->  0.4
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| 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
 |