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			390 lines
		
	
	
	
		
			15 KiB
		
	
	
	
		
			Text
		
	
	
	
	
	
| ------------------------------------------------------------------------
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| -- minmag.decTest -- decimal minimum by magnitude                     --
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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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| -- we assume that base comparison is tested in compare.decTest, so
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| -- these mainly cover special cases and rounding
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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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| -- sanity checks
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| mngx001 minmag  -2  -2  -> -2
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| mngx002 minmag  -2  -1  -> -1
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| mngx003 minmag  -2   0  ->  0
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| mngx004 minmag  -2   1  ->  1
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| mngx005 minmag  -2   2  -> -2
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| mngx006 minmag  -1  -2  -> -1
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| mngx007 minmag  -1  -1  -> -1
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| mngx008 minmag  -1   0  ->  0
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| mngx009 minmag  -1   1  -> -1
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| mngx010 minmag  -1   2  -> -1
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| mngx011 minmag   0  -2  ->  0
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| mngx012 minmag   0  -1  ->  0
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| mngx013 minmag   0   0  ->  0
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| mngx014 minmag   0   1  ->  0
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| mngx015 minmag   0   2  ->  0
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| mngx016 minmag   1  -2  ->  1
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| mngx017 minmag   1  -1  -> -1
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| mngx018 minmag   1   0  ->  0
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| mngx019 minmag   1   1  ->  1
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| mngx020 minmag   1   2  ->  1
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| mngx021 minmag   2  -2  -> -2
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| mngx022 minmag   2  -1  -> -1
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| mngx023 minmag   2   0  ->  0
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| mngx025 minmag   2   1  ->  1
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| mngx026 minmag   2   2  ->  2
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| 
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| -- extended zeros
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| mngx030 minmag   0     0   ->  0
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| mngx031 minmag   0    -0   -> -0
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| mngx032 minmag   0    -0.0 -> -0.0
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| mngx033 minmag   0     0.0 ->  0.0
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| mngx034 minmag  -0     0   -> -0
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| mngx035 minmag  -0    -0   -> -0
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| mngx036 minmag  -0    -0.0 -> -0
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| mngx037 minmag  -0     0.0 -> -0
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| mngx038 minmag   0.0   0   ->  0.0
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| mngx039 minmag   0.0  -0   -> -0
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| mngx040 minmag   0.0  -0.0 -> -0.0
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| mngx041 minmag   0.0   0.0 ->  0.0
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| mngx042 minmag  -0.0   0   -> -0.0
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| mngx043 minmag  -0.0  -0   -> -0
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| mngx044 minmag  -0.0  -0.0 -> -0.0
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| mngx045 minmag  -0.0   0.0 -> -0.0
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| 
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| mngx046 minmag   0E1  -0E1 -> -0E+1
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| mngx047 minmag  -0E1   0E2 -> -0E+1
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| mngx048 minmag   0E2   0E1 ->  0E+1
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| mngx049 minmag   0E1   0E2 ->  0E+1
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| mngx050 minmag  -0E3  -0E2 -> -0E+3
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| mngx051 minmag  -0E2  -0E3 -> -0E+3
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| 
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| -- Specials
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| precision: 9
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| mngx090 minmag  Inf  -Inf   -> -Infinity
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| mngx091 minmag  Inf  -1000  -> -1000
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| mngx092 minmag  Inf  -1     -> -1
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| mngx093 minmag  Inf  -0     -> -0
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| mngx094 minmag  Inf   0     ->  0
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| mngx095 minmag  Inf   1     ->  1
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| mngx096 minmag  Inf   1000  ->  1000
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| mngx097 minmag  Inf   Inf   ->  Infinity
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| mngx098 minmag -1000  Inf   -> -1000
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| mngx099 minmag -Inf   Inf   -> -Infinity
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| mngx100 minmag -1     Inf   -> -1
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| mngx101 minmag -0     Inf   -> -0
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| mngx102 minmag  0     Inf   ->  0
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| mngx103 minmag  1     Inf   ->  1
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| mngx104 minmag  1000  Inf   ->  1000
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| mngx105 minmag  Inf   Inf   ->  Infinity
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| 
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| mngx120 minmag -Inf  -Inf   -> -Infinity
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| mngx121 minmag -Inf  -1000  -> -1000
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| mngx122 minmag -Inf  -1     -> -1
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| mngx123 minmag -Inf  -0     -> -0
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| mngx124 minmag -Inf   0     ->  0
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| mngx125 minmag -Inf   1     ->  1
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| mngx126 minmag -Inf   1000  ->  1000
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| mngx127 minmag -Inf   Inf   -> -Infinity
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| mngx128 minmag -Inf  -Inf   -> -Infinity
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| mngx129 minmag -1000 -Inf   -> -1000
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| mngx130 minmag -1    -Inf   -> -1
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| mngx131 minmag -0    -Inf   -> -0
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| mngx132 minmag  0    -Inf   ->  0
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| mngx133 minmag  1    -Inf   ->  1
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| mngx134 minmag  1000 -Inf   ->  1000
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| mngx135 minmag  Inf  -Inf   -> -Infinity
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| 
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| -- 2004.08.02 754r chooses number over NaN in mixed cases
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| mngx141 minmag  NaN -Inf    ->  -Infinity
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| mngx142 minmag  NaN -1000   ->  -1000
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| mngx143 minmag  NaN -1      ->  -1
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| mngx144 minmag  NaN -0      ->  -0
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| mngx145 minmag  NaN  0      ->  0
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| mngx146 minmag  NaN  1      ->  1
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| mngx147 minmag  NaN  1000   ->  1000
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| mngx148 minmag  NaN  Inf    ->  Infinity
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| mngx149 minmag  NaN  NaN    ->  NaN
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| mngx150 minmag -Inf  NaN    -> -Infinity
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| mngx151 minmag -1000 NaN    -> -1000
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| mngx152 minmag -1   -NaN    -> -1
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| mngx153 minmag -0    NaN    -> -0
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| mngx154 minmag  0   -NaN    ->  0
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| mngx155 minmag  1    NaN    ->  1
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| mngx156 minmag  1000 NaN    ->  1000
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| mngx157 minmag  Inf  NaN    ->  Infinity
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| 
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| mngx161 minmag  sNaN -Inf   ->  NaN  Invalid_operation
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| mngx162 minmag  sNaN -1000  ->  NaN  Invalid_operation
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| mngx163 minmag  sNaN -1     ->  NaN  Invalid_operation
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| mngx164 minmag  sNaN -0     ->  NaN  Invalid_operation
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| mngx165 minmag -sNaN  0     -> -NaN  Invalid_operation
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| mngx166 minmag -sNaN  1     -> -NaN  Invalid_operation
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| mngx167 minmag  sNaN  1000  ->  NaN  Invalid_operation
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| mngx168 minmag  sNaN  NaN   ->  NaN  Invalid_operation
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| mngx169 minmag  sNaN sNaN   ->  NaN  Invalid_operation
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| mngx170 minmag  NaN  sNaN   ->  NaN  Invalid_operation
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| mngx171 minmag -Inf  sNaN   ->  NaN  Invalid_operation
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| mngx172 minmag -1000 sNaN   ->  NaN  Invalid_operation
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| mngx173 minmag -1    sNaN   ->  NaN  Invalid_operation
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| mngx174 minmag -0    sNaN   ->  NaN  Invalid_operation
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| mngx175 minmag  0    sNaN   ->  NaN  Invalid_operation
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| mngx176 minmag  1    sNaN   ->  NaN  Invalid_operation
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| mngx177 minmag  1000 sNaN   ->  NaN  Invalid_operation
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| mngx178 minmag  Inf  sNaN   ->  NaN  Invalid_operation
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| mngx179 minmag  NaN  sNaN   ->  NaN  Invalid_operation
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| 
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| -- propagating NaNs
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| mngx181 minmag  NaN9   -Inf   -> -Infinity
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| mngx182 minmag -NaN8    9990  ->  9990
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| mngx183 minmag  NaN71   Inf   ->  Infinity
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| 
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| mngx184 minmag  NaN1    NaN54 ->  NaN1
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| mngx185 minmag  NaN22  -NaN53 ->  NaN22
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| mngx186 minmag -NaN3    NaN6  -> -NaN3
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| mngx187 minmag -NaN44   NaN7  -> -NaN44
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| 
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| mngx188 minmag -Inf     NaN41 -> -Infinity
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| mngx189 minmag -9999   -NaN33 -> -9999
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| mngx190 minmag  Inf     NaN2  ->  Infinity
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| 
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| mngx191 minmag  sNaN99 -Inf    ->  NaN99 Invalid_operation
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| mngx192 minmag  sNaN98 -11     ->  NaN98 Invalid_operation
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| mngx193 minmag -sNaN97  NaN8   -> -NaN97 Invalid_operation
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| mngx194 minmag  sNaN69 sNaN94  ->  NaN69 Invalid_operation
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| mngx195 minmag  NaN95  sNaN93  ->  NaN93 Invalid_operation
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| mngx196 minmag -Inf    sNaN92  ->  NaN92 Invalid_operation
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| mngx197 minmag  088    sNaN91  ->  NaN91 Invalid_operation
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| mngx198 minmag  Inf   -sNaN90  -> -NaN90 Invalid_operation
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| mngx199 minmag  NaN    sNaN86  ->  NaN86 Invalid_operation
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| 
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| -- rounding checks -- chosen is rounded, or not
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| maxExponent: 999
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| minexponent: -999
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| precision: 9
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| mngx201 minmag -12345678000 1  -> 1
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| mngx202 minmag 1 -12345678000  -> 1
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| mngx203 minmag -1234567800  1  -> 1
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| mngx204 minmag 1 -1234567800   -> 1
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| mngx205 minmag -1234567890  1  -> 1
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| mngx206 minmag 1 -1234567890   -> 1
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| mngx207 minmag -1234567891  1  -> 1
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| mngx208 minmag 1 -1234567891   -> 1
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| mngx209 minmag -12345678901 1  -> 1
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| mngx210 minmag 1 -12345678901  -> 1
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| mngx211 minmag -1234567896  1  -> 1
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| mngx212 minmag 1 -1234567896   -> 1
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| mngx213 minmag 1234567891  1   -> 1
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| mngx214 minmag 1 1234567891    -> 1
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| mngx215 minmag 12345678901 1   -> 1
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| mngx216 minmag 1 12345678901   -> 1
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| mngx217 minmag 1234567896  1   -> 1
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| mngx218 minmag 1 1234567896    -> 1
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| 
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| precision: 15
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| mngx221 minmag -12345678000 1  -> 1
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| mngx222 minmag 1 -12345678000  -> 1
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| mngx223 minmag -1234567800  1  -> 1
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| mngx224 minmag 1 -1234567800   -> 1
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| mngx225 minmag -1234567890  1  -> 1
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| mngx226 minmag 1 -1234567890   -> 1
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| mngx227 minmag -1234567891  1  -> 1
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| mngx228 minmag 1 -1234567891   -> 1
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| mngx229 minmag -12345678901 1  -> 1
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| mngx230 minmag 1 -12345678901  -> 1
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| mngx231 minmag -1234567896  1  -> 1
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| mngx232 minmag 1 -1234567896   -> 1
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| mngx233 minmag 1234567891  1   -> 1
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| mngx234 minmag 1 1234567891    -> 1
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| mngx235 minmag 12345678901 1   -> 1
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| mngx236 minmag 1 12345678901   -> 1
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| mngx237 minmag 1234567896  1   -> 1
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| mngx238 minmag 1 1234567896    -> 1
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| 
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| -- from examples
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| mngx280 minmag '3'   '2'  ->  '2'
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| mngx281 minmag '-10' '3'  ->  '3'
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| mngx282 minmag '1.0' '1'  ->  '1.0'
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| mngx283 minmag '1' '1.0'  ->  '1.0'
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| mngx284 minmag '7' 'NaN'  ->  '7'
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| 
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| -- overflow and underflow tests .. subnormal results [inputs] now allowed
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| maxExponent: 999999999
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| minexponent: -999999999
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| mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345
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| mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345
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| mngx332 minmag -0.100 -9E-999999999               -> -9E-999999999
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| mngx333 minmag -9E-999999999 -0.100               -> -9E-999999999
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| mngx335 minmag +1.23456789012345E-0 -9E+999999999 ->  1.23456789012345
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| mngx336 minmag -9E+999999999 1.23456789012345E-0  ->  1.23456789012345
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| mngx337 minmag +0.100 -9E-999999999               -> -9E-999999999
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| mngx338 minmag -9E-999999999 0.100                -> -9E-999999999
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| 
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| mngx339 minmag -1e-599999999 -1e-400000001   ->  -1E-599999999
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| mngx340 minmag -1e-599999999 -1e-400000000   ->  -1E-599999999
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| mngx341 minmag -1e-600000000 -1e-400000000   ->  -1E-600000000
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| mngx342 minmag -9e-999999998 -0.01           ->  -9E-999999998
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| mngx343 minmag -9e-999999998 -0.1            ->  -9E-999999998
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| mngx344 minmag -0.01         -9e-999999998   ->  -9E-999999998
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| mngx345 minmag -1e599999999  -1e400000001    ->  -1E+400000001
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| mngx346 minmag -1e599999999  -1e400000000    ->  -1E+400000000
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| mngx347 minmag -1e600000000  -1e400000000    ->  -1E+400000000
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| mngx348 minmag -9e999999998  -100            ->  -100
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| mngx349 minmag -9e999999998  -10             ->  -10
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| mngx350 minmag -100          -9e999999998    ->  -100
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| -- signs
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| mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111
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| mngx352 minmag -1e+777777777 +1e+411111111 ->  1E+411111111
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| mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111
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| mngx354 minmag +1e+777777777 +1e+411111111 ->  1E+411111111
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| mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777
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| mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777
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| mngx357 minmag +1e-777777777 -1e-411111111 ->  1E-777777777
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| mngx358 minmag +1e-777777777 +1e-411111111 ->  1E-777777777
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| 
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| -- expanded list from min/max 754r purple prose
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| -- [explicit tests for exponent ordering]
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| mngx401 minmag  Inf    1.1     ->  1.1
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| mngx402 minmag  1.1    1       ->  1
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| mngx403 minmag  1      1.0     ->  1.0
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| mngx404 minmag  1.0    0.1     ->  0.1
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| mngx405 minmag  0.1    0.10    ->  0.10
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| mngx406 minmag  0.10   0.100   ->  0.100
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| mngx407 minmag  0.10   0       ->  0
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| mngx408 minmag  0      0.0     ->  0.0
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| mngx409 minmag  0.0   -0       -> -0
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| mngx410 minmag  0.0   -0.0     -> -0.0
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| mngx411 minmag  0.00  -0.0     -> -0.0
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| mngx412 minmag  0.0   -0.00    -> -0.00
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| mngx413 minmag  0     -0.0     -> -0.0
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| mngx414 minmag  0     -0       -> -0
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| mngx415 minmag -0.0   -0       -> -0
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| mngx416 minmag -0     -0.100   -> -0
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| mngx417 minmag -0.100 -0.10    -> -0.10
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| mngx418 minmag -0.10  -0.1     -> -0.1
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| mngx419 minmag -0.1   -1.0     -> -0.1
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| mngx420 minmag -1.0   -1       -> -1
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| mngx421 minmag -1     -1.1     -> -1
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| mngx423 minmag -1.1   -Inf     -> -1.1
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| -- same with operands reversed
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| mngx431 minmag  1.1    Inf     ->  1.1
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| mngx432 minmag  1      1.1     ->  1
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| mngx433 minmag  1.0    1       ->  1.0
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| mngx434 minmag  0.1    1.0     ->  0.1
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| mngx435 minmag  0.10   0.1     ->  0.10
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| mngx436 minmag  0.100  0.10    ->  0.100
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| mngx437 minmag  0      0.10    ->  0
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| mngx438 minmag  0.0    0       ->  0.0
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| mngx439 minmag -0      0.0     -> -0
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| mngx440 minmag -0.0    0.0     -> -0.0
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| mngx441 minmag -0.0    0.00    -> -0.0
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| mngx442 minmag -0.00   0.0     -> -0.00
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| mngx443 minmag -0.0    0       -> -0.0
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| mngx444 minmag -0      0       -> -0
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| mngx445 minmag -0     -0.0     -> -0
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| mngx446 minmag -0.100 -0       -> -0
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| mngx447 minmag -0.10  -0.100   -> -0.10
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| mngx448 minmag -0.1   -0.10    -> -0.1
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| mngx449 minmag -1.0   -0.1     -> -0.1
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| mngx450 minmag -1     -1.0     -> -1
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| mngx451 minmag -1.1   -1       -> -1
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| mngx453 minmag -Inf   -1.1     -> -1.1
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| -- largies
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| mngx460 minmag  1000   1E+3    ->  1000
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| mngx461 minmag  1E+3   1000    ->  1000
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| mngx462 minmag  1000  -1E+3    -> -1E+3
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| mngx463 minmag  1E+3  -1000    -> -1000
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| mngx464 minmag -1000   1E+3    -> -1000
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| mngx465 minmag -1E+3   1000    -> -1E+3
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| mngx466 minmag -1000  -1E+3    -> -1E+3
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| mngx467 minmag -1E+3  -1000    -> -1E+3
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| 
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| -- rounding (results treated as though plus)
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| maxexponent: 999999999
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| minexponent: -999999999
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| precision: 3
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| 
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| mngx470 minmag  1      5      ->  1
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| mngx471 minmag  10     50     ->  10
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| mngx472 minmag  100    500    ->  100
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| mngx473 minmag  1000   5000   ->  1.00E+3 Rounded
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| mngx474 minmag  10000  50000  ->  1.00E+4 Rounded
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| mngx475 minmag  6      50     ->  6
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| mngx476 minmag  66     500    ->  66
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| mngx477 minmag  666    5000   ->  666
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| mngx478 minmag  6666   50000  ->  6.67E+3 Rounded Inexact
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| mngx479 minmag  66666  500000 ->  6.67E+4 Rounded Inexact
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| mngx480 minmag  33333  500000 ->  3.33E+4 Rounded Inexact
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| mngx481 minmag  75401  1      ->  1
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| mngx482 minmag  75402  10     ->  10
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| mngx483 minmag  75403  100    ->  100
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| mngx484 minmag  75404  1000   ->  1.00E+3 Rounded
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| mngx485 minmag  75405  10000  ->  1.00E+4 Rounded
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| mngx486 minmag  75406  6      ->  6
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| mngx487 minmag  75407  66     ->  66
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| mngx488 minmag  75408  666    ->  666
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| mngx489 minmag  75409  6666   ->  6.67E+3 Rounded Inexact
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| mngx490 minmag  75410  66666  ->  6.67E+4 Rounded Inexact
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| mngx491 minmag  75411  33333  ->  3.33E+4 Rounded Inexact
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| 
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| 
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| -- overflow tests
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| maxexponent: 999999999
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| minexponent: -999999999
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| precision: 3
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| mngx500 minmag 9.999E+999999999  0 ->  0
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| mngx501 minmag -9.999E+999999999 0 ->  0
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| 
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| -- subnormals and underflow
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| precision: 3
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| maxexponent: 999
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| minexponent: -999
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| mngx510 minmag  1.00E-999       0  ->   0
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| mngx511 minmag  0.1E-999        0  ->   0
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| mngx512 minmag  0.10E-999       0  ->   0
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| mngx513 minmag  0.100E-999      0  ->   0
 | |
| mngx514 minmag  0.01E-999       0  ->   0
 | |
| mngx515 minmag  0.999E-999      0  ->   0
 | |
| mngx516 minmag  0.099E-999      0  ->   0
 | |
| mngx517 minmag  0.009E-999      0  ->   0
 | |
| mngx518 minmag  0.001E-999      0  ->   0
 | |
| mngx519 minmag  0.0009E-999     0  ->   0
 | |
| mngx520 minmag  0.0001E-999     0  ->   0
 | |
| 
 | |
| mngx530 minmag -1.00E-999       0  ->   0
 | |
| mngx531 minmag -0.1E-999        0  ->   0
 | |
| mngx532 minmag -0.10E-999       0  ->   0
 | |
| mngx533 minmag -0.100E-999      0  ->   0
 | |
| mngx534 minmag -0.01E-999       0  ->   0
 | |
| mngx535 minmag -0.999E-999      0  ->   0
 | |
| mngx536 minmag -0.099E-999      0  ->   0
 | |
| mngx537 minmag -0.009E-999      0  ->   0
 | |
| mngx538 minmag -0.001E-999      0  ->   0
 | |
| mngx539 minmag -0.0009E-999     0  ->   0
 | |
| mngx540 minmag -0.0001E-999     0  ->   0
 | |
| 
 | |
| 
 | |
| -- Null tests
 | |
| mng900 minmag 10  # -> NaN Invalid_operation
 | |
| mng901 minmag  # 10 -> NaN Invalid_operation
 |