These files are a subset of the python-2.7.2.tgz distribution from python.org. Changed files from PyMod-2.7.2 have been copied into the corresponding directories of this tree, replacing the original files in the distribution. Signed-off-by: daryl.mcdaniel@intel.com git-svn-id: https://edk2.svn.sourceforge.net/svnroot/edk2/trunk/edk2@13197 6f19259b-4bc3-4df7-8a09-765794883524
		
			
				
	
	
		
			598 lines
		
	
	
		
			27 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
			
		
		
	
	
			598 lines
		
	
	
		
			27 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| ------------------------------------------------------------------------
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| -- dqRemainder.decTest -- decQuad 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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| clamp:       1
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| precision:   34
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| maxExponent: 6144
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| minExponent: -6143
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| rounding:    half_even
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| 
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| -- sanity checks (as base, above)
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| dqrem001 remainder  1     1    ->  0
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| dqrem002 remainder  2     1    ->  0
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| dqrem003 remainder  1     2    ->  1
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| dqrem004 remainder  2     2    ->  0
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| dqrem005 remainder  0     1    ->  0
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| dqrem006 remainder  0     2    ->  0
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| dqrem007 remainder  1     3    ->  1
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| dqrem008 remainder  2     3    ->  2
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| dqrem009 remainder  3     3    ->  0
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| 
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| dqrem010 remainder  2.4   1    ->  0.4
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| dqrem011 remainder  2.4   -1   ->  0.4
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| dqrem012 remainder  -2.4  1    ->  -0.4
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| dqrem013 remainder  -2.4  -1   ->  -0.4
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| dqrem014 remainder  2.40  1    ->  0.40
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| dqrem015 remainder  2.400 1    ->  0.400
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| dqrem016 remainder  2.4   2    ->  0.4
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| dqrem017 remainder  2.400 2    ->  0.400
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| dqrem018 remainder  2.    2    ->  0
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| dqrem019 remainder  20    20   ->  0
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| 
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| dqrem020 remainder  187   187    ->  0
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| dqrem021 remainder  5     2      ->  1
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| dqrem022 remainder  5     2.0    ->  1.0
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| dqrem023 remainder  5     2.000  ->  1.000
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| dqrem024 remainder  5     0.200  ->  0.000
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| dqrem025 remainder  5     0.200  ->  0.000
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| 
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| dqrem030 remainder  1     2      ->  1
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| dqrem031 remainder  1     4      ->  1
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| dqrem032 remainder  1     8      ->  1
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| 
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| dqrem033 remainder  1     16     ->  1
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| dqrem034 remainder  1     32     ->  1
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| dqrem035 remainder  1     64     ->  1
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| dqrem040 remainder  1    -2      ->  1
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| dqrem041 remainder  1    -4      ->  1
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| dqrem042 remainder  1    -8      ->  1
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| dqrem043 remainder  1    -16     ->  1
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| dqrem044 remainder  1    -32     ->  1
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| dqrem045 remainder  1    -64     ->  1
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| dqrem050 remainder -1     2      ->  -1
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| dqrem051 remainder -1     4      ->  -1
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| dqrem052 remainder -1     8      ->  -1
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| dqrem053 remainder -1     16     ->  -1
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| dqrem054 remainder -1     32     ->  -1
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| dqrem055 remainder -1     64     ->  -1
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| dqrem060 remainder -1    -2      ->  -1
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| dqrem061 remainder -1    -4      ->  -1
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| dqrem062 remainder -1    -8      ->  -1
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| dqrem063 remainder -1    -16     ->  -1
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| dqrem064 remainder -1    -32     ->  -1
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| dqrem065 remainder -1    -64     ->  -1
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| 
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| dqrem066 remainder  999999999     1  -> 0
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| dqrem067 remainder  999999999.4   1  -> 0.4
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| dqrem068 remainder  999999999.5   1  -> 0.5
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| dqrem069 remainder  999999999.9   1  -> 0.9
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| dqrem070 remainder  999999999.999 1  -> 0.999
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| dqrem071 remainder  999999.999999 1  -> 0.999999
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| dqrem072 remainder  9             1  -> 0
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| 
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| dqrem080 remainder  0.            1  -> 0
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| dqrem081 remainder  .0            1  -> 0.0
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| dqrem082 remainder  0.00          1  -> 0.00
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| dqrem083 remainder  0.00E+9       1  -> 0
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| dqrem084 remainder  0.00E+3       1  -> 0
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| dqrem085 remainder  0.00E+2       1  -> 0
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| dqrem086 remainder  0.00E+1       1  -> 0.0
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| dqrem087 remainder  0.00E+0       1  -> 0.00
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| dqrem088 remainder  0.00E-0       1  -> 0.00
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| dqrem089 remainder  0.00E-1       1  -> 0.000
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| dqrem090 remainder  0.00E-2       1  -> 0.0000
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| dqrem091 remainder  0.00E-3       1  -> 0.00000
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| dqrem092 remainder  0.00E-4       1  -> 0.000000
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| dqrem093 remainder  0.00E-5       1  -> 0E-7
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| dqrem094 remainder  0.00E-6       1  -> 0E-8
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| dqrem095 remainder  0.0000E-50    1  -> 0E-54
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| 
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| -- Various flavours of remainder by 0
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| dqrem101 remainder  0       0   -> NaN Division_undefined
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| dqrem102 remainder  0      -0   -> NaN Division_undefined
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| dqrem103 remainder -0       0   -> NaN Division_undefined
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| dqrem104 remainder -0      -0   -> NaN Division_undefined
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| dqrem105 remainder  0.0E5   0   -> NaN Division_undefined
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| dqrem106 remainder  0.000   0   -> NaN Division_undefined
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| -- [Some think this next group should be Division_by_zero exception, but
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| -- IEEE 854 is explicit that it is Invalid operation .. for
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| -- remainder-near, anyway]
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| dqrem107 remainder  0.0001  0   -> NaN Invalid_operation
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| dqrem108 remainder  0.01    0   -> NaN Invalid_operation
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| dqrem109 remainder  0.1     0   -> NaN Invalid_operation
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| dqrem110 remainder  1       0   -> NaN Invalid_operation
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| dqrem111 remainder  1       0.0 -> NaN Invalid_operation
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| dqrem112 remainder 10       0.0 -> NaN Invalid_operation
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| dqrem113 remainder 1E+100   0.0 -> NaN Invalid_operation
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| dqrem114 remainder 1E+380   0   -> NaN Invalid_operation
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| dqrem115 remainder  0.0001 -0   -> NaN Invalid_operation
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| dqrem116 remainder  0.01   -0   -> NaN Invalid_operation
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| dqrem119 remainder  0.1    -0   -> NaN Invalid_operation
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| dqrem120 remainder  1      -0   -> NaN Invalid_operation
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| dqrem121 remainder  1      -0.0 -> NaN Invalid_operation
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| dqrem122 remainder 10      -0.0 -> NaN Invalid_operation
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| dqrem123 remainder 1E+100  -0.0 -> NaN Invalid_operation
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| dqrem124 remainder 1E+384  -0   -> NaN Invalid_operation
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| -- and zeros on left
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| dqrem130 remainder  0      1   ->  0
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| dqrem131 remainder  0     -1   ->  0
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| dqrem132 remainder  0.0    1   ->  0.0
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| dqrem133 remainder  0.0   -1   ->  0.0
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| dqrem134 remainder -0      1   -> -0
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| dqrem135 remainder -0     -1   -> -0
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| dqrem136 remainder -0.0    1   -> -0.0
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| dqrem137 remainder -0.0   -1   -> -0.0
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| 
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| -- 0.5ers
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| dqrem143 remainder   0.5  2     ->  0.5
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| dqrem144 remainder   0.5  2.1   ->  0.5
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| dqrem145 remainder   0.5  2.01  ->  0.50
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| dqrem146 remainder   0.5  2.001 ->  0.500
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| dqrem147 remainder   0.50 2     ->  0.50
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| dqrem148 remainder   0.50 2.01  ->  0.50
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| dqrem149 remainder   0.50 2.001 ->  0.500
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| 
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| -- steadies
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| dqrem150 remainder  1  1   -> 0
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| dqrem151 remainder  1  2   -> 1
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| dqrem152 remainder  1  3   -> 1
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| dqrem153 remainder  1  4   -> 1
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| dqrem154 remainder  1  5   -> 1
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| dqrem155 remainder  1  6   -> 1
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| dqrem156 remainder  1  7   -> 1
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| dqrem157 remainder  1  8   -> 1
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| dqrem158 remainder  1  9   -> 1
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| dqrem159 remainder  1  10  -> 1
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| dqrem160 remainder  1  1   -> 0
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| dqrem161 remainder  2  1   -> 0
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| dqrem162 remainder  3  1   -> 0
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| dqrem163 remainder  4  1   -> 0
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| dqrem164 remainder  5  1   -> 0
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| dqrem165 remainder  6  1   -> 0
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| dqrem166 remainder  7  1   -> 0
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| dqrem167 remainder  8  1   -> 0
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| dqrem168 remainder  9  1   -> 0
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| dqrem169 remainder  10 1   -> 0
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| 
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| -- some differences from remainderNear
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| dqrem171 remainder   0.4  1.020 ->  0.400
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| dqrem172 remainder   0.50 1.020 ->  0.500
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| dqrem173 remainder   0.51 1.020 ->  0.510
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| dqrem174 remainder   0.52 1.020 ->  0.520
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| dqrem175 remainder   0.6  1.020 ->  0.600
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| 
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| -- More flavours of remainder by 0
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| dqrem201 remainder  0      0   -> NaN Division_undefined
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| dqrem202 remainder  0.0E5  0   -> NaN Division_undefined
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| dqrem203 remainder  0.000  0   -> NaN Division_undefined
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| dqrem204 remainder  0.0001 0   -> NaN Invalid_operation
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| dqrem205 remainder  0.01   0   -> NaN Invalid_operation
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| dqrem206 remainder  0.1    0   -> NaN Invalid_operation
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| dqrem207 remainder  1      0   -> NaN Invalid_operation
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| dqrem208 remainder  1      0.0 -> NaN Invalid_operation
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| dqrem209 remainder 10      0.0 -> NaN Invalid_operation
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| dqrem210 remainder 1E+100  0.0 -> NaN Invalid_operation
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| dqrem211 remainder 1E+380  0   -> NaN Invalid_operation
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| 
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| -- some differences from remainderNear
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| dqrem231 remainder  -0.4  1.020 -> -0.400
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| dqrem232 remainder  -0.50 1.020 -> -0.500
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| dqrem233 remainder  -0.51 1.020 -> -0.510
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| dqrem234 remainder  -0.52 1.020 -> -0.520
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| dqrem235 remainder  -0.6  1.020 -> -0.600
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| 
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| -- high Xs
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| dqrem240 remainder  1E+2  1.00  ->  0.00
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| 
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| -- dqrem3xx are from DiagBigDecimal
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| dqrem301 remainder   1    3     ->  1
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| dqrem302 remainder   5    5     ->  0
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| dqrem303 remainder   13   10    ->  3
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| dqrem304 remainder   13   50    ->  13
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| dqrem305 remainder   13   100   ->  13
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| dqrem306 remainder   13   1000  ->  13
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| dqrem307 remainder   .13    1   ->  0.13
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| dqrem308 remainder   0.133  1   ->  0.133
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| dqrem309 remainder   0.1033 1   ->  0.1033
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| dqrem310 remainder   1.033  1   ->  0.033
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| dqrem311 remainder   10.33  1   ->  0.33
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| dqrem312 remainder   10.33 10   ->  0.33
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| dqrem313 remainder   103.3  1   ->  0.3
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| dqrem314 remainder   133   10   ->  3
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| dqrem315 remainder   1033  10   ->  3
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| dqrem316 remainder   1033  50   ->  33
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| dqrem317 remainder   101.0  3   ->  2.0
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| dqrem318 remainder   102.0  3   ->  0.0
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| dqrem319 remainder   103.0  3   ->  1.0
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| dqrem320 remainder   2.40   1   ->  0.40
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| dqrem321 remainder   2.400  1   ->  0.400
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| dqrem322 remainder   2.4    1   ->  0.4
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| dqrem323 remainder   2.4    2   ->  0.4
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| dqrem324 remainder   2.400  2   ->  0.400
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| dqrem325 remainder   1   0.3    ->  0.1
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| dqrem326 remainder   1   0.30   ->  0.10
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| dqrem327 remainder   1   0.300  ->  0.100
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| dqrem328 remainder   1   0.3000 ->  0.1000
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| dqrem329 remainder   1.0    0.3 ->  0.1
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| dqrem330 remainder   1.00   0.3 ->  0.10
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| dqrem331 remainder   1.000  0.3 ->  0.100
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| dqrem332 remainder   1.0000 0.3 ->  0.1000
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| dqrem333 remainder   0.5  2     ->  0.5
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| dqrem334 remainder   0.5  2.1   ->  0.5
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| dqrem335 remainder   0.5  2.01  ->  0.50
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| dqrem336 remainder   0.5  2.001 ->  0.500
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| dqrem337 remainder   0.50 2     ->  0.50
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| dqrem338 remainder   0.50 2.01  ->  0.50
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| dqrem339 remainder   0.50 2.001 ->  0.500
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| 
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| dqrem340 remainder   0.5   0.5000001    ->  0.5000000
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| dqrem341 remainder   0.5   0.50000001    ->  0.50000000
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| dqrem342 remainder   0.5   0.500000001    ->  0.500000000
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| dqrem343 remainder   0.5   0.5000000001    ->  0.5000000000
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| dqrem344 remainder   0.5   0.50000000001    ->  0.50000000000
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| dqrem345 remainder   0.5   0.4999999    ->  1E-7
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| dqrem346 remainder   0.5   0.49999999    ->  1E-8
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| dqrem347 remainder   0.5   0.499999999    ->  1E-9
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| dqrem348 remainder   0.5   0.4999999999    ->  1E-10
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| dqrem349 remainder   0.5   0.49999999999    ->  1E-11
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| dqrem350 remainder   0.5   0.499999999999    ->  1E-12
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| 
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| dqrem351 remainder   0.03  7  ->  0.03
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| dqrem352 remainder   5   2    ->  1
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| dqrem353 remainder   4.1   2    ->  0.1
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| dqrem354 remainder   4.01   2    ->  0.01
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| dqrem355 remainder   4.001   2    ->  0.001
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| dqrem356 remainder   4.0001   2    ->  0.0001
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| dqrem357 remainder   4.00001   2    ->  0.00001
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| dqrem358 remainder   4.000001   2    ->  0.000001
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| dqrem359 remainder   4.0000001   2    ->  1E-7
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| 
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| dqrem360 remainder   1.2   0.7345 ->  0.4655
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| dqrem361 remainder   0.8   12     ->  0.8
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| dqrem362 remainder   0.8   0.2    ->  0.0
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| dqrem363 remainder   0.8   0.3    ->  0.2
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| dqrem364 remainder   0.800   12   ->  0.800
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| dqrem365 remainder   0.800   1.7  ->  0.800
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| dqrem366 remainder   2.400   2    ->  0.400
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| 
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| dqrem371 remainder   2.400  2        ->  0.400
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| 
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| dqrem381 remainder 12345  1         ->  0
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| dqrem382 remainder 12345  1.0001    ->  0.7657
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| dqrem383 remainder 12345  1.001     ->  0.668
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| dqrem384 remainder 12345  1.01      ->  0.78
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| dqrem385 remainder 12345  1.1       ->  0.8
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| dqrem386 remainder 12355  4         ->  3
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| dqrem387 remainder 12345  4         ->  1
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| dqrem388 remainder 12355  4.0001    ->  2.6912
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| dqrem389 remainder 12345  4.0001    ->  0.6914
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| dqrem390 remainder 12345  4.9       ->  1.9
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| dqrem391 remainder 12345  4.99      ->  4.73
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| dqrem392 remainder 12345  4.999     ->  2.469
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| dqrem393 remainder 12345  4.9999    ->  0.2469
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| dqrem394 remainder 12345  5         ->  0
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| dqrem395 remainder 12345  5.0001    ->  4.7532
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| dqrem396 remainder 12345  5.001     ->  2.532
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| dqrem397 remainder 12345  5.01      ->  0.36
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| dqrem398 remainder 12345  5.1       ->  3.0
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| 
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| -- the nasty division-by-1 cases
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| dqrem401 remainder   0.5         1   ->  0.5
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| dqrem402 remainder   0.55        1   ->  0.55
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| dqrem403 remainder   0.555       1   ->  0.555
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| dqrem404 remainder   0.5555      1   ->  0.5555
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| dqrem405 remainder   0.55555     1   ->  0.55555
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| dqrem406 remainder   0.555555    1   ->  0.555555
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| dqrem407 remainder   0.5555555   1   ->  0.5555555
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| dqrem408 remainder   0.55555555  1   ->  0.55555555
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| dqrem409 remainder   0.555555555 1   ->  0.555555555
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| 
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| -- folddowns
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| dqrem421 remainder   1E+6144        1  ->   NaN Division_impossible
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| dqrem422 remainder   1E+6144  1E+6143  ->   0E+6111 Clamped
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| dqrem423 remainder   1E+6144  2E+6143  ->   0E+6111 Clamped
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| dqrem424 remainder   1E+6144  3E+6143  ->   1.00000000000000000000000000000000E+6143 Clamped
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| dqrem425 remainder   1E+6144  4E+6143  ->   2.00000000000000000000000000000000E+6143 Clamped
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| dqrem426 remainder   1E+6144  5E+6143  ->   0E+6111 Clamped
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| dqrem427 remainder   1E+6144  6E+6143  ->   4.00000000000000000000000000000000E+6143 Clamped
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| dqrem428 remainder   1E+6144  7E+6143  ->   3.00000000000000000000000000000000E+6143 Clamped
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| dqrem429 remainder   1E+6144  8E+6143  ->   2.00000000000000000000000000000000E+6143 Clamped
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| dqrem430 remainder   1E+6144  9E+6143  ->   1.00000000000000000000000000000000E+6143 Clamped
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| -- tinies
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| dqrem431 remainder   1E-6175  1E-6176  ->   0E-6176
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| dqrem432 remainder   1E-6175  2E-6176  ->   0E-6176
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| dqrem433 remainder   1E-6175  3E-6176  ->   1E-6176 Subnormal
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| dqrem434 remainder   1E-6175  4E-6176  ->   2E-6176 Subnormal
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| dqrem435 remainder   1E-6175  5E-6176  ->   0E-6176
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| dqrem436 remainder   1E-6175  6E-6176  ->   4E-6176 Subnormal
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| dqrem437 remainder   1E-6175  7E-6176  ->   3E-6176 Subnormal
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| dqrem438 remainder   1E-6175  8E-6176  ->   2E-6176 Subnormal
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| dqrem439 remainder   1E-6175  9E-6176  ->   1E-6176 Subnormal
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| dqrem440 remainder   1E-6175 10E-6176  ->   0E-6176
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| dqrem441 remainder   1E-6175 11E-6176  -> 1.0E-6175 Subnormal
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| dqrem442 remainder 100E-6175 11E-6176  -> 1.0E-6175 Subnormal
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| dqrem443 remainder 100E-6175 20E-6176  ->   0E-6176
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| dqrem444 remainder 100E-6175 21E-6176  -> 1.3E-6175 Subnormal
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| dqrem445 remainder 100E-6175 30E-6176  -> 1.0E-6175 Subnormal
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| 
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| -- zero signs
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| dqrem650 remainder  1  1 ->  0
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| dqrem651 remainder -1  1 -> -0
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| dqrem652 remainder  1 -1 ->  0
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| dqrem653 remainder -1 -1 -> -0
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| dqrem654 remainder  0  1 ->  0
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| dqrem655 remainder -0  1 -> -0
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| dqrem656 remainder  0 -1 ->  0
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| dqrem657 remainder -0 -1 -> -0
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| dqrem658 remainder  0.00  1  ->  0.00
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| dqrem659 remainder -0.00  1  -> -0.00
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| 
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| -- Specials
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| dqrem680 remainder  Inf  -Inf   ->  NaN Invalid_operation
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| dqrem681 remainder  Inf  -1000  ->  NaN Invalid_operation
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| dqrem682 remainder  Inf  -1     ->  NaN Invalid_operation
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| dqrem683 remainder  Inf   0     ->  NaN Invalid_operation
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| dqrem684 remainder  Inf  -0     ->  NaN Invalid_operation
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| dqrem685 remainder  Inf   1     ->  NaN Invalid_operation
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| dqrem686 remainder  Inf   1000  ->  NaN Invalid_operation
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| dqrem687 remainder  Inf   Inf   ->  NaN Invalid_operation
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| dqrem688 remainder -1000  Inf   -> -1000
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| dqrem689 remainder -Inf   Inf   ->  NaN Invalid_operation
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| dqrem691 remainder -1     Inf   -> -1
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| dqrem692 remainder  0     Inf   ->  0
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| dqrem693 remainder -0     Inf   -> -0
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| dqrem694 remainder  1     Inf   ->  1
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| dqrem695 remainder  1000  Inf   ->  1000
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| dqrem696 remainder  Inf   Inf   ->  NaN Invalid_operation
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| 
 | |
| dqrem700 remainder -Inf  -Inf   ->  NaN Invalid_operation
 | |
| dqrem701 remainder -Inf  -1000  ->  NaN Invalid_operation
 | |
| dqrem702 remainder -Inf  -1     ->  NaN Invalid_operation
 | |
| dqrem703 remainder -Inf  -0     ->  NaN Invalid_operation
 | |
| dqrem704 remainder -Inf   0     ->  NaN Invalid_operation
 | |
| dqrem705 remainder -Inf   1     ->  NaN Invalid_operation
 | |
| dqrem706 remainder -Inf   1000  ->  NaN Invalid_operation
 | |
| dqrem707 remainder -Inf   Inf   ->  NaN Invalid_operation
 | |
| dqrem708 remainder -Inf  -Inf   ->  NaN Invalid_operation
 | |
| dqrem709 remainder -1000  Inf   -> -1000
 | |
| dqrem710 remainder -1    -Inf   -> -1
 | |
| dqrem711 remainder -0    -Inf   -> -0
 | |
| dqrem712 remainder  0    -Inf   ->  0
 | |
| dqrem713 remainder  1    -Inf   ->  1
 | |
| dqrem714 remainder  1000 -Inf   ->  1000
 | |
| dqrem715 remainder  Inf  -Inf   ->  NaN Invalid_operation
 | |
| 
 | |
| dqrem721 remainder  NaN -Inf    ->  NaN
 | |
| dqrem722 remainder  NaN -1000   ->  NaN
 | |
| dqrem723 remainder  NaN -1      ->  NaN
 | |
| dqrem724 remainder  NaN -0      ->  NaN
 | |
| dqrem725 remainder -NaN  0      -> -NaN
 | |
| dqrem726 remainder  NaN  1      ->  NaN
 | |
| dqrem727 remainder  NaN  1000   ->  NaN
 | |
| dqrem728 remainder  NaN  Inf    ->  NaN
 | |
| dqrem729 remainder  NaN -NaN    ->  NaN
 | |
| dqrem730 remainder -Inf  NaN    ->  NaN
 | |
| dqrem731 remainder -1000 NaN    ->  NaN
 | |
| dqrem732 remainder -1    NaN    ->  NaN
 | |
| dqrem733 remainder -0   -NaN    -> -NaN
 | |
| dqrem734 remainder  0    NaN    ->  NaN
 | |
| dqrem735 remainder  1   -NaN    -> -NaN
 | |
| dqrem736 remainder  1000 NaN    ->  NaN
 | |
| dqrem737 remainder  Inf  NaN    ->  NaN
 | |
| 
 | |
| dqrem741 remainder  sNaN -Inf   ->  NaN  Invalid_operation
 | |
| dqrem742 remainder  sNaN -1000  ->  NaN  Invalid_operation
 | |
| dqrem743 remainder -sNaN -1     -> -NaN  Invalid_operation
 | |
| dqrem744 remainder  sNaN -0     ->  NaN  Invalid_operation
 | |
| dqrem745 remainder  sNaN  0     ->  NaN  Invalid_operation
 | |
| dqrem746 remainder  sNaN  1     ->  NaN  Invalid_operation
 | |
| dqrem747 remainder  sNaN  1000  ->  NaN  Invalid_operation
 | |
| dqrem749 remainder  sNaN  NaN   ->  NaN  Invalid_operation
 | |
| dqrem750 remainder  sNaN sNaN   ->  NaN  Invalid_operation
 | |
| dqrem751 remainder  NaN  sNaN   ->  NaN  Invalid_operation
 | |
| dqrem752 remainder -Inf  sNaN   ->  NaN  Invalid_operation
 | |
| dqrem753 remainder -1000 sNaN   ->  NaN  Invalid_operation
 | |
| dqrem754 remainder -1    sNaN   ->  NaN  Invalid_operation
 | |
| dqrem755 remainder -0    sNaN   ->  NaN  Invalid_operation
 | |
| dqrem756 remainder  0    sNaN   ->  NaN  Invalid_operation
 | |
| dqrem757 remainder  1    sNaN   ->  NaN  Invalid_operation
 | |
| dqrem758 remainder  1000 sNaN   ->  NaN  Invalid_operation
 | |
| dqrem759 remainder  Inf -sNaN   -> -NaN  Invalid_operation
 | |
| 
 | |
| -- propaging NaNs
 | |
| dqrem760 remainder  NaN1   NaN7   ->  NaN1
 | |
| dqrem761 remainder sNaN2   NaN8   ->  NaN2 Invalid_operation
 | |
| dqrem762 remainder  NaN3  sNaN9   ->  NaN9 Invalid_operation
 | |
| dqrem763 remainder sNaN4  sNaN10  ->  NaN4 Invalid_operation
 | |
| dqrem764 remainder    15   NaN11  ->  NaN11
 | |
| dqrem765 remainder  NaN6   NaN12  ->  NaN6
 | |
| dqrem766 remainder  Inf    NaN13  ->  NaN13
 | |
| dqrem767 remainder  NaN14  -Inf   ->  NaN14
 | |
| dqrem768 remainder    0    NaN15  ->  NaN15
 | |
| dqrem769 remainder  NaN16   -0    ->  NaN16
 | |
| 
 | |
| -- edge cases of impossible
 | |
| dqrem770  remainder  1234568888888887777777777890123456  10    ->  6
 | |
| dqrem771  remainder  1234568888888887777777777890123456   1    ->  0
 | |
| dqrem772  remainder  1234568888888887777777777890123456   0.1  ->  NaN Division_impossible
 | |
| dqrem773  remainder  1234568888888887777777777890123456   0.01 ->  NaN Division_impossible
 | |
| 
 | |
| -- long operand checks
 | |
| dqrem801 remainder 12345678000 100 -> 0
 | |
| dqrem802 remainder 1 12345678000   -> 1
 | |
| dqrem803 remainder 1234567800  10  -> 0
 | |
| dqrem804 remainder 1 1234567800    -> 1
 | |
| dqrem805 remainder 1234567890  10  -> 0
 | |
| dqrem806 remainder 1 1234567890    -> 1
 | |
| dqrem807 remainder 1234567891  10  -> 1
 | |
| dqrem808 remainder 1 1234567891    -> 1
 | |
| dqrem809 remainder 12345678901 100 -> 1
 | |
| dqrem810 remainder 1 12345678901   -> 1
 | |
| dqrem811 remainder 1234567896  10  -> 6
 | |
| dqrem812 remainder 1 1234567896    -> 1
 | |
| 
 | |
| dqrem821 remainder 12345678000 100 -> 0
 | |
| dqrem822 remainder 1 12345678000   -> 1
 | |
| dqrem823 remainder 1234567800  10  -> 0
 | |
| dqrem824 remainder 1 1234567800    -> 1
 | |
| dqrem825 remainder 1234567890  10  -> 0
 | |
| dqrem826 remainder 1 1234567890    -> 1
 | |
| dqrem827 remainder 1234567891  10  -> 1
 | |
| dqrem828 remainder 1 1234567891    -> 1
 | |
| dqrem829 remainder 12345678901 100 -> 1
 | |
| dqrem830 remainder 1 12345678901   -> 1
 | |
| dqrem831 remainder 1234567896  10  -> 6
 | |
| dqrem832 remainder 1 1234567896    -> 1
 | |
| 
 | |
| -- from divideint
 | |
| dqrem840 remainder  100000000.0   1  ->  0.0
 | |
| dqrem841 remainder  100000000.4   1  ->  0.4
 | |
| dqrem842 remainder  100000000.5   1  ->  0.5
 | |
| dqrem843 remainder  100000000.9   1  ->  0.9
 | |
| dqrem844 remainder  100000000.999 1  ->  0.999
 | |
| dqrem850 remainder  100000003     5  ->  3
 | |
| dqrem851 remainder  10000003      5  ->  3
 | |
| dqrem852 remainder  1000003       5  ->  3
 | |
| dqrem853 remainder  100003        5  ->  3
 | |
| dqrem854 remainder  10003         5  ->  3
 | |
| dqrem855 remainder  1003          5  ->  3
 | |
| dqrem856 remainder  103           5  ->  3
 | |
| dqrem857 remainder  13            5  ->  3
 | |
| dqrem858 remainder  1             5  ->  1
 | |
| 
 | |
| -- Vladimir's cases         1234567890123456
 | |
| dqrem860 remainder 123.0e1 1000000000000000  -> 1230
 | |
| dqrem861 remainder 1230    1000000000000000  -> 1230
 | |
| dqrem862 remainder 12.3e2  1000000000000000  -> 1230
 | |
| dqrem863 remainder 1.23e3  1000000000000000  -> 1230
 | |
| dqrem864 remainder 123e1   1000000000000000  -> 1230
 | |
| dqrem870 remainder 123e1    1000000000000000 -> 1230
 | |
| dqrem871 remainder 123e1     100000000000000 -> 1230
 | |
| dqrem872 remainder 123e1      10000000000000 -> 1230
 | |
| dqrem873 remainder 123e1       1000000000000 -> 1230
 | |
| dqrem874 remainder 123e1        100000000000 -> 1230
 | |
| dqrem875 remainder 123e1         10000000000 -> 1230
 | |
| dqrem876 remainder 123e1          1000000000 -> 1230
 | |
| dqrem877 remainder 123e1           100000000 -> 1230
 | |
| dqrem878 remainder 1230            100000000 -> 1230
 | |
| dqrem879 remainder 123e1            10000000 -> 1230
 | |
| dqrem880 remainder 123e1             1000000 -> 1230
 | |
| dqrem881 remainder 123e1              100000 -> 1230
 | |
| dqrem882 remainder 123e1               10000 -> 1230
 | |
| dqrem883 remainder 123e1                1000 ->  230
 | |
| dqrem884 remainder 123e1                 100 ->   30
 | |
| dqrem885 remainder 123e1                  10 ->    0
 | |
| dqrem886 remainder 123e1                   1 ->    0
 | |
| 
 | |
| dqrem890 remainder 123e1    2000000000000000 -> 1230
 | |
| dqrem891 remainder 123e1     200000000000000 -> 1230
 | |
| dqrem892 remainder 123e1      20000000000000 -> 1230
 | |
| dqrem893 remainder 123e1       2000000000000 -> 1230
 | |
| dqrem894 remainder 123e1        200000000000 -> 1230
 | |
| dqrem895 remainder 123e1         20000000000 -> 1230
 | |
| dqrem896 remainder 123e1          2000000000 -> 1230
 | |
| dqrem897 remainder 123e1           200000000 -> 1230
 | |
| dqrem899 remainder 123e1            20000000 -> 1230
 | |
| dqrem900 remainder 123e1             2000000 -> 1230
 | |
| dqrem901 remainder 123e1              200000 -> 1230
 | |
| dqrem902 remainder 123e1               20000 -> 1230
 | |
| dqrem903 remainder 123e1                2000 -> 1230
 | |
| dqrem904 remainder 123e1                 200 ->   30
 | |
| dqrem905 remainder 123e1                  20 ->   10
 | |
| dqrem906 remainder 123e1                   2 ->    0
 | |
| 
 | |
| dqrem910 remainder 123e1    5000000000000000 -> 1230
 | |
| dqrem911 remainder 123e1     500000000000000 -> 1230
 | |
| dqrem912 remainder 123e1      50000000000000 -> 1230
 | |
| dqrem913 remainder 123e1       5000000000000 -> 1230
 | |
| dqrem914 remainder 123e1        500000000000 -> 1230
 | |
| dqrem915 remainder 123e1         50000000000 -> 1230
 | |
| dqrem916 remainder 123e1          5000000000 -> 1230
 | |
| dqrem917 remainder 123e1           500000000 -> 1230
 | |
| dqrem919 remainder 123e1            50000000 -> 1230
 | |
| dqrem920 remainder 123e1             5000000 -> 1230
 | |
| dqrem921 remainder 123e1              500000 -> 1230
 | |
| dqrem922 remainder 123e1               50000 -> 1230
 | |
| dqrem923 remainder 123e1                5000 -> 1230
 | |
| dqrem924 remainder 123e1                 500 ->  230
 | |
| dqrem925 remainder 123e1                  50 ->   30
 | |
| dqrem926 remainder 123e1                   5 ->    0
 | |
| 
 | |
| dqrem930 remainder 123e1    9000000000000000 -> 1230
 | |
| dqrem931 remainder 123e1     900000000000000 -> 1230
 | |
| dqrem932 remainder 123e1      90000000000000 -> 1230
 | |
| dqrem933 remainder 123e1       9000000000000 -> 1230
 | |
| dqrem934 remainder 123e1        900000000000 -> 1230
 | |
| dqrem935 remainder 123e1         90000000000 -> 1230
 | |
| dqrem936 remainder 123e1          9000000000 -> 1230
 | |
| dqrem937 remainder 123e1           900000000 -> 1230
 | |
| dqrem939 remainder 123e1            90000000 -> 1230
 | |
| dqrem940 remainder 123e1             9000000 -> 1230
 | |
| dqrem941 remainder 123e1              900000 -> 1230
 | |
| dqrem942 remainder 123e1               90000 -> 1230
 | |
| dqrem943 remainder 123e1                9000 -> 1230
 | |
| dqrem944 remainder 123e1                 900 ->  330
 | |
| dqrem945 remainder 123e1                  90 ->   60
 | |
| dqrem946 remainder 123e1                   9 ->    6
 | |
| 
 | |
| dqrem950 remainder 123e1   1000000000000000 -> 1230
 | |
| dqrem961 remainder 123e1   2999999999999999 -> 1230
 | |
| dqrem962 remainder 123e1   3999999999999999 -> 1230
 | |
| dqrem963 remainder 123e1   4999999999999999 -> 1230
 | |
| dqrem964 remainder 123e1   5999999999999999 -> 1230
 | |
| dqrem965 remainder 123e1   6999999999999999 -> 1230
 | |
| dqrem966 remainder 123e1   7999999999999999 -> 1230
 | |
| dqrem967 remainder 123e1   8999999999999999 -> 1230
 | |
| dqrem968 remainder 123e1   9999999999999999 -> 1230
 | |
| dqrem969 remainder 123e1   9876543210987654 -> 1230
 | |
| 
 | |
| dqrem980 remainder 123e1 1000E299 -> 1.23E+3  -- 123E+1 internally
 | |
| 
 | |
| -- overflow and underflow tests [from divide]
 | |
| dqrem1051 remainder  1e+277  1e-311 ->  NaN Division_impossible
 | |
| dqrem1052 remainder  1e+277 -1e-311 ->  NaN Division_impossible
 | |
| dqrem1053 remainder -1e+277  1e-311 ->  NaN Division_impossible
 | |
| dqrem1054 remainder -1e+277 -1e-311 ->  NaN Division_impossible
 | |
| dqrem1055 remainder  1e-277  1e+311 ->  1E-277
 | |
| dqrem1056 remainder  1e-277 -1e+311 ->  1E-277
 | |
| dqrem1057 remainder -1e-277  1e+311 -> -1E-277
 | |
| dqrem1058 remainder -1e-277 -1e+311 -> -1E-277
 | |
| 
 | |
| -- Gyuris example
 | |
| dqrem1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143
 | |
| 
 | |
| -- destructive subtract
 | |
| dqrem1120  remainder  1234567890123456789012345678901234  1.000000000000000000000000000000001  ->  0.765432109876543210987654321098768
 | |
| dqrem1121  remainder  1234567890123456789012345678901234   1.00000000000000000000000000000001  ->   0.65432109876543210987654321098779
 | |
| dqrem1122  remainder  1234567890123456789012345678901234    1.0000000000000000000000000000001  ->    0.5432109876543210987654321098890
 | |
| dqrem1123  remainder  1234567890123456789012345678901255  4.000000000000000000000000000000001  ->  2.691358027469135802746913580274687
 | |
| dqrem1124  remainder  1234567890123456789012345678901234  4.000000000000000000000000000000001  ->  1.691358027469135802746913580274692
 | |
| dqrem1125  remainder  1234567890123456789012345678901234    4.9999999999999999999999999999999  ->    3.6913578024691357802469135780251
 | |
| dqrem1126  remainder  1234567890123456789012345678901234   4.99999999999999999999999999999999  ->   1.46913578024691357802469135780247
 | |
| dqrem1127  remainder  1234567890123456789012345678901234  4.999999999999999999999999999999999  ->  4.246913578024691357802469135780246
 | |
| dqrem1128  remainder  1234567890123456789012345678901234    5.0000000000000000000000000000001  ->    4.3086421975308642197530864219759
 | |
| 
 | |
| -- Null tests
 | |
| dqrem1000 remainder 10  # -> NaN Invalid_operation
 | |
| dqrem1001 remainder  # 10 -> NaN Invalid_operation
 | |
| 
 |