| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------
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 | 2 | -- minmag.decTest -- decimal minimum by magnitude                     --
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| Benjamin Peterson | f17ff4e | 2008-07-31 16:32:12 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --
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| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 4 | ------------------------------------------------------------------------
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 | 5 | -- Please see the document "General Decimal Arithmetic Testcases"     --
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 | 6 | -- at http://www2.hursley.ibm.com/decimal for the description of      --
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 | 7 | -- these testcases.                                                   --
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 | 8 | --                                                                    --
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 | 9 | -- These testcases are experimental ('beta' versions), and they       --
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 | 10 | -- may contain errors.  They are offered on an as-is basis.  In       --
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 | 11 | -- particular, achieving the same results as the tests here is not    --
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 | 12 | -- a guarantee that an implementation complies with any Standard      --
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 | 13 | -- or specification.  The tests are not exhaustive.                   --
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 | 14 | --                                                                    --
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 | 15 | -- Please send comments, suggestions, and corrections to the author:  --
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 | 16 | --   Mike Cowlishaw, IBM Fellow                                       --
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 | 17 | --   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --
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 | 18 | --   mfc@uk.ibm.com                                                   --
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 | 19 | ------------------------------------------------------------------------
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| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 20 | version: 2.59
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| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 21 | 
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 | 22 | -- we assume that base comparison is tested in compare.decTest, so
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 | 23 | -- these mainly cover special cases and rounding
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 | 24 | 
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 | 25 | extended:    1
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 | 26 | precision:   9
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 | 27 | rounding:    half_up
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 | 28 | maxExponent: 384
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 | 29 | minexponent: -383
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 | 30 | 
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 | 31 | -- sanity checks
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 | 32 | mngx001 minmag  -2  -2  -> -2
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 | 33 | mngx002 minmag  -2  -1  -> -1
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 | 34 | mngx003 minmag  -2   0  ->  0
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 | 35 | mngx004 minmag  -2   1  ->  1
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 | 36 | mngx005 minmag  -2   2  -> -2
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 | 37 | mngx006 minmag  -1  -2  -> -1
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 | 38 | mngx007 minmag  -1  -1  -> -1
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 | 39 | mngx008 minmag  -1   0  ->  0
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 | 40 | mngx009 minmag  -1   1  -> -1
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 | 41 | mngx010 minmag  -1   2  -> -1
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 | 42 | mngx011 minmag   0  -2  ->  0
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 | 43 | mngx012 minmag   0  -1  ->  0
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 | 44 | mngx013 minmag   0   0  ->  0
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 | 45 | mngx014 minmag   0   1  ->  0
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 | 46 | mngx015 minmag   0   2  ->  0
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 | 47 | mngx016 minmag   1  -2  ->  1
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 | 48 | mngx017 minmag   1  -1  -> -1
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 | 49 | mngx018 minmag   1   0  ->  0
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 | 50 | mngx019 minmag   1   1  ->  1
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 | 51 | mngx020 minmag   1   2  ->  1
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 | 52 | mngx021 minmag   2  -2  -> -2
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 | 53 | mngx022 minmag   2  -1  -> -1
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 | 54 | mngx023 minmag   2   0  ->  0
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 | 55 | mngx025 minmag   2   1  ->  1
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 | 56 | mngx026 minmag   2   2  ->  2
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 | 57 | 
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 | 58 | -- extended zeros
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 | 59 | mngx030 minmag   0     0   ->  0
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 | 60 | mngx031 minmag   0    -0   -> -0
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 | 61 | mngx032 minmag   0    -0.0 -> -0.0
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 | 62 | mngx033 minmag   0     0.0 ->  0.0
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 | 63 | mngx034 minmag  -0     0   -> -0
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 | 64 | mngx035 minmag  -0    -0   -> -0
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 | 65 | mngx036 minmag  -0    -0.0 -> -0
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 | 66 | mngx037 minmag  -0     0.0 -> -0
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 | 67 | mngx038 minmag   0.0   0   ->  0.0
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 | 68 | mngx039 minmag   0.0  -0   -> -0
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 | 69 | mngx040 minmag   0.0  -0.0 -> -0.0
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 | 70 | mngx041 minmag   0.0   0.0 ->  0.0
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 | 71 | mngx042 minmag  -0.0   0   -> -0.0
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 | 72 | mngx043 minmag  -0.0  -0   -> -0
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 | 73 | mngx044 minmag  -0.0  -0.0 -> -0.0
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 | 74 | mngx045 minmag  -0.0   0.0 -> -0.0
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 | 75 | 
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 | 76 | mngx046 minmag   0E1  -0E1 -> -0E+1
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 | 77 | mngx047 minmag  -0E1   0E2 -> -0E+1
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 | 78 | mngx048 minmag   0E2   0E1 ->  0E+1
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 | 79 | mngx049 minmag   0E1   0E2 ->  0E+1
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 | 80 | mngx050 minmag  -0E3  -0E2 -> -0E+3
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 | 81 | mngx051 minmag  -0E2  -0E3 -> -0E+3
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 | 82 | 
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 | 83 | -- Specials
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 | 84 | precision: 9
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 | 85 | mngx090 minmag  Inf  -Inf   -> -Infinity
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 | 86 | mngx091 minmag  Inf  -1000  -> -1000
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 | 87 | mngx092 minmag  Inf  -1     -> -1
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 | 88 | mngx093 minmag  Inf  -0     -> -0
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 | 89 | mngx094 minmag  Inf   0     ->  0
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 | 90 | mngx095 minmag  Inf   1     ->  1
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 | 91 | mngx096 minmag  Inf   1000  ->  1000
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 | 92 | mngx097 minmag  Inf   Inf   ->  Infinity
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 | 93 | mngx098 minmag -1000  Inf   -> -1000
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 | 94 | mngx099 minmag -Inf   Inf   -> -Infinity
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 | 95 | mngx100 minmag -1     Inf   -> -1
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 | 96 | mngx101 minmag -0     Inf   -> -0
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 | 97 | mngx102 minmag  0     Inf   ->  0
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 | 98 | mngx103 minmag  1     Inf   ->  1
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 | 99 | mngx104 minmag  1000  Inf   ->  1000
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 | 100 | mngx105 minmag  Inf   Inf   ->  Infinity
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 | 101 | 
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 | 102 | mngx120 minmag -Inf  -Inf   -> -Infinity
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 | 103 | mngx121 minmag -Inf  -1000  -> -1000
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 | 104 | mngx122 minmag -Inf  -1     -> -1
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 | 105 | mngx123 minmag -Inf  -0     -> -0
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 | 106 | mngx124 minmag -Inf   0     ->  0
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 | 107 | mngx125 minmag -Inf   1     ->  1
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 | 108 | mngx126 minmag -Inf   1000  ->  1000
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 | 109 | mngx127 minmag -Inf   Inf   -> -Infinity
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 | 110 | mngx128 minmag -Inf  -Inf   -> -Infinity
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 | 111 | mngx129 minmag -1000 -Inf   -> -1000
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 | 112 | mngx130 minmag -1    -Inf   -> -1
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 | 113 | mngx131 minmag -0    -Inf   -> -0
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 | 114 | mngx132 minmag  0    -Inf   ->  0
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 | 115 | mngx133 minmag  1    -Inf   ->  1
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 | 116 | mngx134 minmag  1000 -Inf   ->  1000
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 | 117 | mngx135 minmag  Inf  -Inf   -> -Infinity
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 | 118 | 
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 | 119 | -- 2004.08.02 754r chooses number over NaN in mixed cases
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 | 120 | mngx141 minmag  NaN -Inf    ->  -Infinity
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 | 121 | mngx142 minmag  NaN -1000   ->  -1000
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 | 122 | mngx143 minmag  NaN -1      ->  -1
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 | 123 | mngx144 minmag  NaN -0      ->  -0
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 | 124 | mngx145 minmag  NaN  0      ->  0
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 | 125 | mngx146 minmag  NaN  1      ->  1
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 | 126 | mngx147 minmag  NaN  1000   ->  1000
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 | 127 | mngx148 minmag  NaN  Inf    ->  Infinity
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 | 128 | mngx149 minmag  NaN  NaN    ->  NaN
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 | 129 | mngx150 minmag -Inf  NaN    -> -Infinity
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 | 130 | mngx151 minmag -1000 NaN    -> -1000
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 | 131 | mngx152 minmag -1   -NaN    -> -1
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 | 132 | mngx153 minmag -0    NaN    -> -0
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 | 133 | mngx154 minmag  0   -NaN    ->  0
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 | 134 | mngx155 minmag  1    NaN    ->  1
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 | 135 | mngx156 minmag  1000 NaN    ->  1000
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 | 136 | mngx157 minmag  Inf  NaN    ->  Infinity
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 | 137 | 
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 | 138 | mngx161 minmag  sNaN -Inf   ->  NaN  Invalid_operation
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 | 139 | mngx162 minmag  sNaN -1000  ->  NaN  Invalid_operation
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 | 140 | mngx163 minmag  sNaN -1     ->  NaN  Invalid_operation
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 | 141 | mngx164 minmag  sNaN -0     ->  NaN  Invalid_operation
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 | 142 | mngx165 minmag -sNaN  0     -> -NaN  Invalid_operation
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 | 143 | mngx166 minmag -sNaN  1     -> -NaN  Invalid_operation
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 | 144 | mngx167 minmag  sNaN  1000  ->  NaN  Invalid_operation
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 | 145 | mngx168 minmag  sNaN  NaN   ->  NaN  Invalid_operation
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 | 146 | mngx169 minmag  sNaN sNaN   ->  NaN  Invalid_operation
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 | 147 | mngx170 minmag  NaN  sNaN   ->  NaN  Invalid_operation
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 | 148 | mngx171 minmag -Inf  sNaN   ->  NaN  Invalid_operation
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 | 149 | mngx172 minmag -1000 sNaN   ->  NaN  Invalid_operation
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 | 150 | mngx173 minmag -1    sNaN   ->  NaN  Invalid_operation
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 | 151 | mngx174 minmag -0    sNaN   ->  NaN  Invalid_operation
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 | 152 | mngx175 minmag  0    sNaN   ->  NaN  Invalid_operation
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 | 153 | mngx176 minmag  1    sNaN   ->  NaN  Invalid_operation
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 | 154 | mngx177 minmag  1000 sNaN   ->  NaN  Invalid_operation
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 | 155 | mngx178 minmag  Inf  sNaN   ->  NaN  Invalid_operation
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 | 156 | mngx179 minmag  NaN  sNaN   ->  NaN  Invalid_operation
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 | 157 | 
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 | 158 | -- propagating NaNs
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 | 159 | mngx181 minmag  NaN9   -Inf   -> -Infinity
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 | 160 | mngx182 minmag -NaN8    9990  ->  9990
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 | 161 | mngx183 minmag  NaN71   Inf   ->  Infinity
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 | 162 | 
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 | 163 | mngx184 minmag  NaN1    NaN54 ->  NaN1
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 | 164 | mngx185 minmag  NaN22  -NaN53 ->  NaN22
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 | 165 | mngx186 minmag -NaN3    NaN6  -> -NaN3
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 | 166 | mngx187 minmag -NaN44   NaN7  -> -NaN44
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 | 167 | 
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 | 168 | mngx188 minmag -Inf     NaN41 -> -Infinity
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 | 169 | mngx189 minmag -9999   -NaN33 -> -9999
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 | 170 | mngx190 minmag  Inf     NaN2  ->  Infinity
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 | 171 | 
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 | 172 | mngx191 minmag  sNaN99 -Inf    ->  NaN99 Invalid_operation
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 | 173 | mngx192 minmag  sNaN98 -11     ->  NaN98 Invalid_operation
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 | 174 | mngx193 minmag -sNaN97  NaN8   -> -NaN97 Invalid_operation
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 | 175 | mngx194 minmag  sNaN69 sNaN94  ->  NaN69 Invalid_operation
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 | 176 | mngx195 minmag  NaN95  sNaN93  ->  NaN93 Invalid_operation
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 | 177 | mngx196 minmag -Inf    sNaN92  ->  NaN92 Invalid_operation
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 | 178 | mngx197 minmag  088    sNaN91  ->  NaN91 Invalid_operation
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 | 179 | mngx198 minmag  Inf   -sNaN90  -> -NaN90 Invalid_operation
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 | 180 | mngx199 minmag  NaN    sNaN86  ->  NaN86 Invalid_operation
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 | 181 | 
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 | 182 | -- rounding checks -- chosen is rounded, or not
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 | 183 | maxExponent: 999
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 | 184 | minexponent: -999
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 | 185 | precision: 9
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 | 186 | mngx201 minmag -12345678000 1  -> 1
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 | 187 | mngx202 minmag 1 -12345678000  -> 1
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 | 188 | mngx203 minmag -1234567800  1  -> 1
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 | 189 | mngx204 minmag 1 -1234567800   -> 1
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 | 190 | mngx205 minmag -1234567890  1  -> 1
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 | 191 | mngx206 minmag 1 -1234567890   -> 1
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 | 192 | mngx207 minmag -1234567891  1  -> 1
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 | 193 | mngx208 minmag 1 -1234567891   -> 1
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 | 194 | mngx209 minmag -12345678901 1  -> 1
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 | 195 | mngx210 minmag 1 -12345678901  -> 1
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 | 196 | mngx211 minmag -1234567896  1  -> 1
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 | 197 | mngx212 minmag 1 -1234567896   -> 1
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 | 198 | mngx213 minmag 1234567891  1   -> 1
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 | 199 | mngx214 minmag 1 1234567891    -> 1
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 | 200 | mngx215 minmag 12345678901 1   -> 1
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 | 201 | mngx216 minmag 1 12345678901   -> 1
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 | 202 | mngx217 minmag 1234567896  1   -> 1
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 | 203 | mngx218 minmag 1 1234567896    -> 1
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 | 204 | 
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 | 205 | precision: 15
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 | 206 | mngx221 minmag -12345678000 1  -> 1
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 | 207 | mngx222 minmag 1 -12345678000  -> 1
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 | 208 | mngx223 minmag -1234567800  1  -> 1
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 | 209 | mngx224 minmag 1 -1234567800   -> 1
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 | 210 | mngx225 minmag -1234567890  1  -> 1
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 | 211 | mngx226 minmag 1 -1234567890   -> 1
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 | 212 | mngx227 minmag -1234567891  1  -> 1
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 | 213 | mngx228 minmag 1 -1234567891   -> 1
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 | 214 | mngx229 minmag -12345678901 1  -> 1
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 | 215 | mngx230 minmag 1 -12345678901  -> 1
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 | 216 | mngx231 minmag -1234567896  1  -> 1
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 | 217 | mngx232 minmag 1 -1234567896   -> 1
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 | 218 | mngx233 minmag 1234567891  1   -> 1
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 | 219 | mngx234 minmag 1 1234567891    -> 1
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 | 220 | mngx235 minmag 12345678901 1   -> 1
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 | 221 | mngx236 minmag 1 12345678901   -> 1
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 | 222 | mngx237 minmag 1234567896  1   -> 1
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 | 223 | mngx238 minmag 1 1234567896    -> 1
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 | 224 | 
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 | 225 | -- from examples
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 | 226 | mngx280 minmag '3'   '2'  ->  '2'
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 | 227 | mngx281 minmag '-10' '3'  ->  '3'
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 | 228 | mngx282 minmag '1.0' '1'  ->  '1.0'
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 | 229 | mngx283 minmag '1' '1.0'  ->  '1.0'
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 | 230 | mngx284 minmag '7' 'NaN'  ->  '7'
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 | 231 | 
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 | 232 | -- overflow and underflow tests .. subnormal results [inputs] now allowed
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 | 233 | maxExponent: 999999999
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 | 234 | minexponent: -999999999
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 | 235 | mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345
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 | 236 | mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345
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 | 237 | mngx332 minmag -0.100 -9E-999999999               -> -9E-999999999
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 | 238 | mngx333 minmag -9E-999999999 -0.100               -> -9E-999999999
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 | 239 | mngx335 minmag +1.23456789012345E-0 -9E+999999999 ->  1.23456789012345
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 | 240 | mngx336 minmag -9E+999999999 1.23456789012345E-0  ->  1.23456789012345
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 | 241 | mngx337 minmag +0.100 -9E-999999999               -> -9E-999999999
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 | 242 | mngx338 minmag -9E-999999999 0.100                -> -9E-999999999
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 | 243 | 
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 | 244 | mngx339 minmag -1e-599999999 -1e-400000001   ->  -1E-599999999
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 | 245 | mngx340 minmag -1e-599999999 -1e-400000000   ->  -1E-599999999
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 | 246 | mngx341 minmag -1e-600000000 -1e-400000000   ->  -1E-600000000
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 | 247 | mngx342 minmag -9e-999999998 -0.01           ->  -9E-999999998
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 | 248 | mngx343 minmag -9e-999999998 -0.1            ->  -9E-999999998
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 | 249 | mngx344 minmag -0.01         -9e-999999998   ->  -9E-999999998
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 | 250 | mngx345 minmag -1e599999999  -1e400000001    ->  -1E+400000001
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 | 251 | mngx346 minmag -1e599999999  -1e400000000    ->  -1E+400000000
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 | 252 | mngx347 minmag -1e600000000  -1e400000000    ->  -1E+400000000
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 | 253 | mngx348 minmag -9e999999998  -100            ->  -100
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 | 254 | mngx349 minmag -9e999999998  -10             ->  -10
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 | 255 | mngx350 minmag -100          -9e999999998    ->  -100
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 | 256 | -- signs
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 | 257 | mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111
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 | 258 | mngx352 minmag -1e+777777777 +1e+411111111 ->  1E+411111111
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 | 259 | mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111
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 | 260 | mngx354 minmag +1e+777777777 +1e+411111111 ->  1E+411111111
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 | 261 | mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777
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 | 262 | mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777
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 | 263 | mngx357 minmag +1e-777777777 -1e-411111111 ->  1E-777777777
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 | 264 | mngx358 minmag +1e-777777777 +1e-411111111 ->  1E-777777777
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 | 265 | 
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 | 266 | -- expanded list from min/max 754r purple prose
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 | 267 | -- [explicit tests for exponent ordering]
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 | 268 | mngx401 minmag  Inf    1.1     ->  1.1
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 | 269 | mngx402 minmag  1.1    1       ->  1
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 | 270 | mngx403 minmag  1      1.0     ->  1.0
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 | 271 | mngx404 minmag  1.0    0.1     ->  0.1
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 | 272 | mngx405 minmag  0.1    0.10    ->  0.10
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 | 273 | mngx406 minmag  0.10   0.100   ->  0.100
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 | 274 | mngx407 minmag  0.10   0       ->  0
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 | 275 | mngx408 minmag  0      0.0     ->  0.0
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 | 276 | mngx409 minmag  0.0   -0       -> -0
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 | 277 | mngx410 minmag  0.0   -0.0     -> -0.0
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 | 278 | mngx411 minmag  0.00  -0.0     -> -0.0
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 | 279 | mngx412 minmag  0.0   -0.00    -> -0.00
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 | 280 | mngx413 minmag  0     -0.0     -> -0.0
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 | 281 | mngx414 minmag  0     -0       -> -0
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 | 282 | mngx415 minmag -0.0   -0       -> -0
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 | 283 | mngx416 minmag -0     -0.100   -> -0
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 | 284 | mngx417 minmag -0.100 -0.10    -> -0.10
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 | 285 | mngx418 minmag -0.10  -0.1     -> -0.1
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 | 286 | mngx419 minmag -0.1   -1.0     -> -0.1
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 | 287 | mngx420 minmag -1.0   -1       -> -1
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 | 288 | mngx421 minmag -1     -1.1     -> -1
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 | 289 | mngx423 minmag -1.1   -Inf     -> -1.1
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 | 290 | -- same with operands reversed
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 | 291 | mngx431 minmag  1.1    Inf     ->  1.1
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 | 292 | mngx432 minmag  1      1.1     ->  1
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 | 293 | mngx433 minmag  1.0    1       ->  1.0
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 | 294 | mngx434 minmag  0.1    1.0     ->  0.1
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 | 295 | mngx435 minmag  0.10   0.1     ->  0.10
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 | 296 | mngx436 minmag  0.100  0.10    ->  0.100
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 | 297 | mngx437 minmag  0      0.10    ->  0
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 | 298 | mngx438 minmag  0.0    0       ->  0.0
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 | 299 | mngx439 minmag -0      0.0     -> -0
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 | 300 | mngx440 minmag -0.0    0.0     -> -0.0
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 | 301 | mngx441 minmag -0.0    0.00    -> -0.0
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 | 302 | mngx442 minmag -0.00   0.0     -> -0.00
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 | 303 | mngx443 minmag -0.0    0       -> -0.0
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 | 304 | mngx444 minmag -0      0       -> -0
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 | 305 | mngx445 minmag -0     -0.0     -> -0
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 | 306 | mngx446 minmag -0.100 -0       -> -0
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 | 307 | mngx447 minmag -0.10  -0.100   -> -0.10
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 | 308 | mngx448 minmag -0.1   -0.10    -> -0.1
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 | 309 | mngx449 minmag -1.0   -0.1     -> -0.1
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 | 310 | mngx450 minmag -1     -1.0     -> -1
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 | 311 | mngx451 minmag -1.1   -1       -> -1
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 | 312 | mngx453 minmag -Inf   -1.1     -> -1.1
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 | 313 | -- largies
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 | 314 | mngx460 minmag  1000   1E+3    ->  1000
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 | 315 | mngx461 minmag  1E+3   1000    ->  1000
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 | 316 | mngx462 minmag  1000  -1E+3    -> -1E+3
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 | 317 | mngx463 minmag  1E+3  -1000    -> -1000
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 | 318 | mngx464 minmag -1000   1E+3    -> -1000
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 | 319 | mngx465 minmag -1E+3   1000    -> -1E+3
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 | 320 | mngx466 minmag -1000  -1E+3    -> -1E+3
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 | 321 | mngx467 minmag -1E+3  -1000    -> -1E+3
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 | 322 | 
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 | 323 | -- rounding (results treated as though plus)
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 | 324 | maxexponent: 999999999
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 | 325 | minexponent: -999999999
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 | 326 | precision: 3
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 | 327 | 
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 | 328 | mngx470 minmag  1      5      ->  1
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 | 329 | mngx471 minmag  10     50     ->  10
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 | 330 | mngx472 minmag  100    500    ->  100
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 | 331 | mngx473 minmag  1000   5000   ->  1.00E+3 Rounded
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 | 332 | mngx474 minmag  10000  50000  ->  1.00E+4 Rounded
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 | 333 | mngx475 minmag  6      50     ->  6
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 | 334 | mngx476 minmag  66     500    ->  66
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 | 335 | mngx477 minmag  666    5000   ->  666
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 | 336 | mngx478 minmag  6666   50000  ->  6.67E+3 Rounded Inexact
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 | 337 | mngx479 minmag  66666  500000 ->  6.67E+4 Rounded Inexact
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 | 338 | mngx480 minmag  33333  500000 ->  3.33E+4 Rounded Inexact
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 | 339 | mngx481 minmag  75401  1      ->  1
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 | 340 | mngx482 minmag  75402  10     ->  10
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 | 341 | mngx483 minmag  75403  100    ->  100
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 | 342 | mngx484 minmag  75404  1000   ->  1.00E+3 Rounded
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 | 343 | mngx485 minmag  75405  10000  ->  1.00E+4 Rounded
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 | 344 | mngx486 minmag  75406  6      ->  6
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 | 345 | mngx487 minmag  75407  66     ->  66
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 | 346 | mngx488 minmag  75408  666    ->  666
 | 
 | 347 | mngx489 minmag  75409  6666   ->  6.67E+3 Rounded Inexact
 | 
 | 348 | mngx490 minmag  75410  66666  ->  6.67E+4 Rounded Inexact
 | 
 | 349 | mngx491 minmag  75411  33333  ->  3.33E+4 Rounded Inexact
 | 
 | 350 | 
 | 
 | 351 | 
 | 
 | 352 | -- overflow tests
 | 
 | 353 | maxexponent: 999999999
 | 
 | 354 | minexponent: -999999999
 | 
 | 355 | precision: 3
 | 
 | 356 | mngx500 minmag 9.999E+999999999  0 ->  0
 | 
 | 357 | mngx501 minmag -9.999E+999999999 0 ->  0
 | 
 | 358 | 
 | 
 | 359 | -- subnormals and underflow
 | 
 | 360 | precision: 3
 | 
 | 361 | maxexponent: 999
 | 
 | 362 | minexponent: -999
 | 
 | 363 | mngx510 minmag  1.00E-999       0  ->   0
 | 
 | 364 | mngx511 minmag  0.1E-999        0  ->   0
 | 
 | 365 | mngx512 minmag  0.10E-999       0  ->   0
 | 
 | 366 | mngx513 minmag  0.100E-999      0  ->   0
 | 
 | 367 | mngx514 minmag  0.01E-999       0  ->   0
 | 
 | 368 | mngx515 minmag  0.999E-999      0  ->   0
 | 
 | 369 | mngx516 minmag  0.099E-999      0  ->   0
 | 
 | 370 | mngx517 minmag  0.009E-999      0  ->   0
 | 
 | 371 | mngx518 minmag  0.001E-999      0  ->   0
 | 
 | 372 | mngx519 minmag  0.0009E-999     0  ->   0
 | 
 | 373 | mngx520 minmag  0.0001E-999     0  ->   0
 | 
 | 374 | 
 | 
 | 375 | mngx530 minmag -1.00E-999       0  ->   0
 | 
 | 376 | mngx531 minmag -0.1E-999        0  ->   0
 | 
 | 377 | mngx532 minmag -0.10E-999       0  ->   0
 | 
 | 378 | mngx533 minmag -0.100E-999      0  ->   0
 | 
 | 379 | mngx534 minmag -0.01E-999       0  ->   0
 | 
 | 380 | mngx535 minmag -0.999E-999      0  ->   0
 | 
 | 381 | mngx536 minmag -0.099E-999      0  ->   0
 | 
 | 382 | mngx537 minmag -0.009E-999      0  ->   0
 | 
 | 383 | mngx538 minmag -0.001E-999      0  ->   0
 | 
 | 384 | mngx539 minmag -0.0009E-999     0  ->   0
 | 
 | 385 | mngx540 minmag -0.0001E-999     0  ->   0
 | 
 | 386 | 
 | 
 | 387 | 
 | 
 | 388 | -- Null tests
 | 
 | 389 | mng900 minmag 10  # -> NaN Invalid_operation
 | 
 | 390 | mng901 minmag  # 10 -> NaN Invalid_operation
 |