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      1 ------------------------------------------------------------------------
      2 -- dqReduce.decTest -- remove trailing zeros from a decQuad           --
      3 -- Copyright (c) IBM Corporation, 2003, 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 
     21 version: 2.59
     22 
     23 extended:    1
     24 clamp:       1
     25 precision:   34
     26 maxExponent: 6144
     27 minExponent: -6143
     28 rounding:    half_even
     29 
     30 dqred001 reduce '1'      -> '1'
     31 dqred002 reduce '-1'     -> '-1'
     32 dqred003 reduce '1.00'   -> '1'
     33 dqred004 reduce '-1.00'  -> '-1'
     34 dqred005 reduce '0'      -> '0'
     35 dqred006 reduce '0.00'   -> '0'
     36 dqred007 reduce '00.0'   -> '0'
     37 dqred008 reduce '00.00'  -> '0'
     38 dqred009 reduce '00'     -> '0'
     39 dqred010 reduce '0E+1'   -> '0'
     40 dqred011 reduce '0E+5'   -> '0'
     41 
     42 dqred012 reduce '-2'     -> '-2'
     43 dqred013 reduce '2'      -> '2'
     44 dqred014 reduce '-2.00'  -> '-2'
     45 dqred015 reduce '2.00'   -> '2'
     46 dqred016 reduce '-0'     -> '-0'
     47 dqred017 reduce '-0.00'  -> '-0'
     48 dqred018 reduce '-00.0'  -> '-0'
     49 dqred019 reduce '-00.00' -> '-0'
     50 dqred020 reduce '-00'    -> '-0'
     51 dqred021 reduce '-0E+5'   -> '-0'
     52 dqred022 reduce '-0E+1'  -> '-0'
     53 
     54 dqred030 reduce '+0.1'            -> '0.1'
     55 dqred031 reduce '-0.1'            -> '-0.1'
     56 dqred032 reduce '+0.01'           -> '0.01'
     57 dqred033 reduce '-0.01'           -> '-0.01'
     58 dqred034 reduce '+0.001'          -> '0.001'
     59 dqred035 reduce '-0.001'          -> '-0.001'
     60 dqred036 reduce '+0.000001'       -> '0.000001'
     61 dqred037 reduce '-0.000001'       -> '-0.000001'
     62 dqred038 reduce '+0.000000000001' -> '1E-12'
     63 dqred039 reduce '-0.000000000001' -> '-1E-12'
     64 
     65 dqred041 reduce 1.1        -> 1.1
     66 dqred042 reduce 1.10       -> 1.1
     67 dqred043 reduce 1.100      -> 1.1
     68 dqred044 reduce 1.110      -> 1.11
     69 dqred045 reduce -1.1       -> -1.1
     70 dqred046 reduce -1.10      -> -1.1
     71 dqred047 reduce -1.100     -> -1.1
     72 dqred048 reduce -1.110     -> -1.11
     73 dqred049 reduce 9.9        -> 9.9
     74 dqred050 reduce 9.90       -> 9.9
     75 dqred051 reduce 9.900      -> 9.9
     76 dqred052 reduce 9.990      -> 9.99
     77 dqred053 reduce -9.9       -> -9.9
     78 dqred054 reduce -9.90      -> -9.9
     79 dqred055 reduce -9.900     -> -9.9
     80 dqred056 reduce -9.990     -> -9.99
     81 
     82 -- some trailing fractional zeros with zeros in units
     83 dqred060 reduce  10.0        -> 1E+1
     84 dqred061 reduce  10.00       -> 1E+1
     85 dqred062 reduce  100.0       -> 1E+2
     86 dqred063 reduce  100.00      -> 1E+2
     87 dqred064 reduce  1.1000E+3   -> 1.1E+3
     88 dqred065 reduce  1.10000E+3  -> 1.1E+3
     89 dqred066 reduce -10.0        -> -1E+1
     90 dqred067 reduce -10.00       -> -1E+1
     91 dqred068 reduce -100.0       -> -1E+2
     92 dqred069 reduce -100.00      -> -1E+2
     93 dqred070 reduce -1.1000E+3   -> -1.1E+3
     94 dqred071 reduce -1.10000E+3  -> -1.1E+3
     95 
     96 -- some insignificant trailing zeros with positive exponent
     97 dqred080 reduce  10E+1       -> 1E+2
     98 dqred081 reduce  100E+1      -> 1E+3
     99 dqred082 reduce  1.0E+2      -> 1E+2
    100 dqred083 reduce  1.0E+3      -> 1E+3
    101 dqred084 reduce  1.1E+3      -> 1.1E+3
    102 dqred085 reduce  1.00E+3     -> 1E+3
    103 dqred086 reduce  1.10E+3     -> 1.1E+3
    104 dqred087 reduce -10E+1       -> -1E+2
    105 dqred088 reduce -100E+1      -> -1E+3
    106 dqred089 reduce -1.0E+2      -> -1E+2
    107 dqred090 reduce -1.0E+3      -> -1E+3
    108 dqred091 reduce -1.1E+3      -> -1.1E+3
    109 dqred092 reduce -1.00E+3     -> -1E+3
    110 dqred093 reduce -1.10E+3     -> -1.1E+3
    111 
    112 -- some significant trailing zeros, were we to be trimming
    113 dqred100 reduce  11          -> 11
    114 dqred101 reduce  10          -> 1E+1
    115 dqred102 reduce  10.         -> 1E+1
    116 dqred103 reduce  1.1E+1      -> 11
    117 dqred104 reduce  1.0E+1      -> 1E+1
    118 dqred105 reduce  1.10E+2     -> 1.1E+2
    119 dqred106 reduce  1.00E+2     -> 1E+2
    120 dqred107 reduce  1.100E+3    -> 1.1E+3
    121 dqred108 reduce  1.000E+3    -> 1E+3
    122 dqred109 reduce  1.000000E+6 -> 1E+6
    123 dqred110 reduce -11          -> -11
    124 dqred111 reduce -10          -> -1E+1
    125 dqred112 reduce -10.         -> -1E+1
    126 dqred113 reduce -1.1E+1      -> -11
    127 dqred114 reduce -1.0E+1      -> -1E+1
    128 dqred115 reduce -1.10E+2     -> -1.1E+2
    129 dqred116 reduce -1.00E+2     -> -1E+2
    130 dqred117 reduce -1.100E+3    -> -1.1E+3
    131 dqred118 reduce -1.000E+3    -> -1E+3
    132 dqred119 reduce -1.00000E+5  -> -1E+5
    133 dqred120 reduce -1.000000E+6 -> -1E+6
    134 dqred121 reduce -10.00000E+6 -> -1E+7
    135 dqred122 reduce -100.0000E+6 -> -1E+8
    136 dqred123 reduce -1000.000E+6 -> -1E+9
    137 dqred124 reduce -10000.00E+6 -> -1E+10
    138 dqred125 reduce -100000.0E+6 -> -1E+11
    139 dqred126 reduce -1000000.E+6 -> -1E+12
    140 
    141 -- examples from decArith
    142 dqred140 reduce '2.1'     ->  '2.1'
    143 dqred141 reduce '-2.0'    ->  '-2'
    144 dqred142 reduce '1.200'   ->  '1.2'
    145 dqred143 reduce '-120'    ->  '-1.2E+2'
    146 dqred144 reduce '120.00'  ->  '1.2E+2'
    147 dqred145 reduce '0.00'    ->  '0'
    148 
    149 -- Nmax, Nmin, Ntiny
    150 -- note origami effect on some of these
    151 dqred151 reduce  9.999999999999999999999999999999999E+6144   -> 9.999999999999999999999999999999999E+6144
    152 dqred152 reduce  9.999999999999999999999999000000000E+6140   -> 9.99999999999999999999999900000E+6140
    153 dqred153 reduce  9.999999999999999999999999999990000E+6144   -> 9.999999999999999999999999999990000E+6144
    154 dqred154 reduce  1E-6143                   -> 1E-6143
    155 dqred155 reduce  1.000000000000000000000000000000000E-6143   -> 1E-6143
    156 dqred156 reduce  2.000E-6173               -> 2E-6173   Subnormal
    157 dqred157 reduce  1E-6176                   -> 1E-6176   Subnormal
    158 
    159 dqred161 reduce  -1E-6176                  -> -1E-6176  Subnormal
    160 dqred162 reduce  -2.000E-6173              -> -2E-6173  Subnormal
    161 dqred163 reduce  -1.000000000000000000000000000000000E-6143  -> -1E-6143
    162 dqred164 reduce  -1E-6143                  -> -1E-6143
    163 dqred165 reduce  -9.999999999999999999999999000000000E+6140  -> -9.99999999999999999999999900000E+6140
    164 dqred166 reduce  -9.999999999999999999999999999990000E+6144  -> -9.999999999999999999999999999990000E+6144
    165 dqred167 reduce  -9.999999999999999999999999999999990E+6144  -> -9.999999999999999999999999999999990E+6144
    166 dqred168 reduce  -9.999999999999999999999999999999999E+6144  -> -9.999999999999999999999999999999999E+6144
    167 dqred169 reduce  -9.999999999999999999999999999999990E+6144  -> -9.999999999999999999999999999999990E+6144
    168 
    169 
    170 -- specials (reduce does not affect payload)
    171 dqred820 reduce 'Inf'    -> 'Infinity'
    172 dqred821 reduce '-Inf'   -> '-Infinity'
    173 dqred822 reduce   NaN    ->  NaN
    174 dqred823 reduce  sNaN    ->  NaN    Invalid_operation
    175 dqred824 reduce   NaN101 ->  NaN101
    176 dqred825 reduce  sNaN010 ->  NaN10  Invalid_operation
    177 dqred827 reduce  -NaN    -> -NaN
    178 dqred828 reduce -sNaN    -> -NaN    Invalid_operation
    179 dqred829 reduce  -NaN101 -> -NaN101
    180 dqred830 reduce -sNaN010 -> -NaN10  Invalid_operation
    181 
    182 -- Null test
    183 dqred900 reduce  # -> NaN Invalid_operation
    184