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      1 ------------------------------------------------------------------------
      2 -- abs.decTest -- decimal absolute value                              --
      3 -- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --
      4 ------------------------------------------------------------------------
      5 -- Please see the document "General Decimal Arithmetic Testcases"     --
      6 -- at http://www2.hursley.ibm.com/decimal for the description of      --
      7 -- these testcases.                                                   --
      8 --                                                                    --
      9 -- These testcases are experimental ('beta' versions), and they       --
     10 -- may contain errors.  They are offered on an as-is basis.  In       --
     11 -- particular, achieving the same results as the tests here is not    --
     12 -- a guarantee that an implementation complies with any Standard      --
     13 -- or specification.  The tests are not exhaustive.                   --
     14 --                                                                    --
     15 -- Please send comments, suggestions, and corrections to the author:  --
     16 --   Mike Cowlishaw, IBM Fellow                                       --
     17 --   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --
     18 --   mfc (a] uk.ibm.com                                                   --
     19 ------------------------------------------------------------------------
     20 version: 2.59
     21 
     22 -- This set of tests primarily tests the existence of the operator.
     23 -- Additon, subtraction, rounding, and more overflows are tested
     24 -- elsewhere.
     25 
     26 precision:   9
     27 rounding:    half_up
     28 maxExponent: 384
     29 minexponent: -383
     30 extended: 1
     31 
     32 absx001 abs '1'      -> '1'
     33 absx002 abs '-1'     -> '1'
     34 absx003 abs '1.00'   -> '1.00'
     35 absx004 abs '-1.00'  -> '1.00'
     36 absx005 abs '0'      -> '0'
     37 absx006 abs '0.00'   -> '0.00'
     38 absx007 abs '00.0'   -> '0.0'
     39 absx008 abs '00.00'  -> '0.00'
     40 absx009 abs '00'     -> '0'
     41 
     42 absx010 abs '-2'     -> '2'
     43 absx011 abs '2'      -> '2'
     44 absx012 abs '-2.00'  -> '2.00'
     45 absx013 abs '2.00'   -> '2.00'
     46 absx014 abs '-0'     -> '0'
     47 absx015 abs '-0.00'  -> '0.00'
     48 absx016 abs '-00.0'  -> '0.0'
     49 absx017 abs '-00.00' -> '0.00'
     50 absx018 abs '-00'    -> '0'
     51 
     52 absx020 abs '-2000000' -> '2000000'
     53 absx021 abs '2000000'  -> '2000000'
     54 precision: 7
     55 absx022 abs '-2000000' -> '2000000'
     56 absx023 abs '2000000'  -> '2000000'
     57 precision: 6
     58 absx024 abs '-2000000' -> '2.00000E+6' Rounded
     59 absx025 abs '2000000'  -> '2.00000E+6' Rounded
     60 precision: 3
     61 absx026 abs '-2000000' -> '2.00E+6' Rounded
     62 absx027 abs '2000000'  -> '2.00E+6' Rounded
     63 
     64 absx030 abs '+0.1'            -> '0.1'
     65 absx031 abs '-0.1'            -> '0.1'
     66 absx032 abs '+0.01'           -> '0.01'
     67 absx033 abs '-0.01'           -> '0.01'
     68 absx034 abs '+0.001'          -> '0.001'
     69 absx035 abs '-0.001'          -> '0.001'
     70 absx036 abs '+0.000001'       -> '0.000001'
     71 absx037 abs '-0.000001'       -> '0.000001'
     72 absx038 abs '+0.000000000001' -> '1E-12'
     73 absx039 abs '-0.000000000001' -> '1E-12'
     74 
     75 -- examples from decArith
     76 precision: 9
     77 absx040 abs '2.1'     ->  '2.1'
     78 absx041 abs '-100'    ->  '100'
     79 absx042 abs '101.5'   ->  '101.5'
     80 absx043 abs '-101.5'  ->  '101.5'
     81 
     82 -- more fixed, potential LHS swaps/overlays if done by subtract 0
     83 precision: 9
     84 absx060 abs '-56267E-10'  -> '0.0000056267'
     85 absx061 abs '-56267E-5'   -> '0.56267'
     86 absx062 abs '-56267E-2'   -> '562.67'
     87 absx063 abs '-56267E-1'   -> '5626.7'
     88 absx065 abs '-56267E-0'   -> '56267'
     89 
     90 -- overflow tests
     91 maxexponent: 999999999
     92 minexponent: -999999999
     93 precision: 3
     94 absx120 abs 9.999E+999999999 -> Infinity Inexact Overflow Rounded
     95 
     96 -- subnormals and underflow
     97 precision: 3
     98 maxexponent: 999
     99 minexponent: -999
    100 absx210 abs  1.00E-999        ->   1.00E-999
    101 absx211 abs  0.1E-999         ->   1E-1000   Subnormal
    102 absx212 abs  0.10E-999        ->   1.0E-1000 Subnormal
    103 absx213 abs  0.100E-999       ->   1.0E-1000 Subnormal Rounded
    104 absx214 abs  0.01E-999        ->   1E-1001   Subnormal
    105 -- next is rounded to Emin
    106 absx215 abs  0.999E-999       ->   1.00E-999 Inexact Rounded Subnormal Underflow
    107 absx216 abs  0.099E-999       ->   1.0E-1000 Inexact Rounded Subnormal Underflow
    108 absx217 abs  0.009E-999       ->   1E-1001   Inexact Rounded Subnormal Underflow
    109 absx218 abs  0.001E-999       ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
    110 absx219 abs  0.0009E-999      ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
    111 absx220 abs  0.0001E-999      ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
    112 
    113 absx230 abs -1.00E-999        ->   1.00E-999
    114 absx231 abs -0.1E-999         ->   1E-1000   Subnormal
    115 absx232 abs -0.10E-999        ->   1.0E-1000 Subnormal
    116 absx233 abs -0.100E-999       ->   1.0E-1000 Subnormal Rounded
    117 absx234 abs -0.01E-999        ->   1E-1001   Subnormal
    118 -- next is rounded to Emin
    119 absx235 abs -0.999E-999       ->   1.00E-999 Inexact Rounded Subnormal Underflow
    120 absx236 abs -0.099E-999       ->   1.0E-1000 Inexact Rounded Subnormal Underflow
    121 absx237 abs -0.009E-999       ->   1E-1001   Inexact Rounded Subnormal Underflow
    122 absx238 abs -0.001E-999       ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
    123 absx239 abs -0.0009E-999      ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
    124 absx240 abs -0.0001E-999      ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
    125 
    126 -- long operand tests
    127 maxexponent: 999
    128 minexponent: -999
    129 precision: 9
    130 absx301 abs 12345678000  -> 1.23456780E+10 Rounded
    131 absx302 abs 1234567800   -> 1.23456780E+9 Rounded
    132 absx303 abs 1234567890   -> 1.23456789E+9 Rounded
    133 absx304 abs 1234567891   -> 1.23456789E+9 Inexact Rounded
    134 absx305 abs 12345678901  -> 1.23456789E+10 Inexact Rounded
    135 absx306 abs 1234567896   -> 1.23456790E+9 Inexact Rounded
    136 
    137 precision: 15
    138 absx321 abs 12345678000  -> 12345678000
    139 absx322 abs 1234567800   -> 1234567800
    140 absx323 abs 1234567890   -> 1234567890
    141 absx324 abs 1234567891   -> 1234567891
    142 absx325 abs 12345678901  -> 12345678901
    143 absx326 abs 1234567896   -> 1234567896
    144 
    145 
    146 -- Specials
    147 precision:   9
    148 
    149 -- specials
    150 absx520 abs 'Inf'    -> 'Infinity'
    151 absx521 abs '-Inf'   -> 'Infinity'
    152 absx522 abs   NaN    ->  NaN
    153 absx523 abs  sNaN    ->  NaN   Invalid_operation
    154 absx524 abs   NaN22  ->  NaN22
    155 absx525 abs  sNaN33  ->  NaN33 Invalid_operation
    156 absx526 abs  -NaN22  -> -NaN22
    157 absx527 abs -sNaN33  -> -NaN33 Invalid_operation
    158 
    159 -- Null tests
    160 absx900 abs  # -> NaN Invalid_operation
    161 
    162