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      1 ------------------------------------------------------------------------
      2 -- ddRotate.decTest -- rotate a decDouble coefficient left or right   --
      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 precision:   16
     23 maxExponent: 384
     24 minExponent: -383
     25 extended:    1
     26 clamp:       1
     27 rounding:    half_even
     28 
     29 -- Sanity check
     30 ddrot001 rotate                 0    0  ->  0
     31 ddrot002 rotate                 0    2  ->  0
     32 ddrot003 rotate                 1    2  ->  100
     33 ddrot004 rotate                 1   15  ->  1000000000000000
     34 ddrot005 rotate                 1   16  ->  1
     35 ddrot006 rotate                 1   -1  ->  1000000000000000
     36 ddrot007 rotate                 0   -2  ->  0
     37 ddrot008 rotate  1234567890123456   -1  ->  6123456789012345
     38 ddrot009 rotate  1234567890123456   -15 ->  2345678901234561
     39 ddrot010 rotate  1234567890123456   -16 ->  1234567890123456
     40 ddrot011 rotate  9934567890123456   -15 ->  9345678901234569
     41 ddrot012 rotate  9934567890123456   -16 ->  9934567890123456
     42 
     43 -- rhs must be an integer
     44 ddrot015 rotate        1    1.5    -> NaN Invalid_operation
     45 ddrot016 rotate        1    1.0    -> NaN Invalid_operation
     46 ddrot017 rotate        1    0.1    -> NaN Invalid_operation
     47 ddrot018 rotate        1    0.0    -> NaN Invalid_operation
     48 ddrot019 rotate        1    1E+1   -> NaN Invalid_operation
     49 ddrot020 rotate        1    1E+99  -> NaN Invalid_operation
     50 ddrot021 rotate        1    Inf    -> NaN Invalid_operation
     51 ddrot022 rotate        1    -Inf   -> NaN Invalid_operation
     52 -- and |rhs| <= precision
     53 ddrot025 rotate        1    -1000  -> NaN Invalid_operation
     54 ddrot026 rotate        1    -17    -> NaN Invalid_operation
     55 ddrot027 rotate        1     17    -> NaN Invalid_operation
     56 ddrot028 rotate        1     1000  -> NaN Invalid_operation
     57 
     58 -- full pattern
     59 ddrot030 rotate  1234567890123456         -16  -> 1234567890123456
     60 ddrot031 rotate  1234567890123456         -15  -> 2345678901234561
     61 ddrot032 rotate  1234567890123456         -14  -> 3456789012345612
     62 ddrot033 rotate  1234567890123456         -13  -> 4567890123456123
     63 ddrot034 rotate  1234567890123456         -12  -> 5678901234561234
     64 ddrot035 rotate  1234567890123456         -11  -> 6789012345612345
     65 ddrot036 rotate  1234567890123456         -10  -> 7890123456123456
     66 ddrot037 rotate  1234567890123456         -9   -> 8901234561234567
     67 ddrot038 rotate  1234567890123456         -8   -> 9012345612345678
     68 ddrot039 rotate  1234567890123456         -7   ->  123456123456789
     69 ddrot040 rotate  1234567890123456         -6   -> 1234561234567890
     70 ddrot041 rotate  1234567890123456         -5   -> 2345612345678901
     71 ddrot042 rotate  1234567890123456         -4   -> 3456123456789012
     72 ddrot043 rotate  1234567890123456         -3   -> 4561234567890123
     73 ddrot044 rotate  1234567890123456         -2   -> 5612345678901234
     74 ddrot045 rotate  1234567890123456         -1   -> 6123456789012345
     75 ddrot046 rotate  1234567890123456         -0   -> 1234567890123456
     76 
     77 ddrot047 rotate  1234567890123456         +0   -> 1234567890123456
     78 ddrot048 rotate  1234567890123456         +1   -> 2345678901234561
     79 ddrot049 rotate  1234567890123456         +2   -> 3456789012345612
     80 ddrot050 rotate  1234567890123456         +3   -> 4567890123456123
     81 ddrot051 rotate  1234567890123456         +4   -> 5678901234561234
     82 ddrot052 rotate  1234567890123456         +5   -> 6789012345612345
     83 ddrot053 rotate  1234567890123456         +6   -> 7890123456123456
     84 ddrot054 rotate  1234567890123456         +7   -> 8901234561234567
     85 ddrot055 rotate  1234567890123456         +8   -> 9012345612345678
     86 ddrot056 rotate  1234567890123456         +9   ->  123456123456789
     87 ddrot057 rotate  1234567890123456         +10  -> 1234561234567890
     88 ddrot058 rotate  1234567890123456         +11  -> 2345612345678901
     89 ddrot059 rotate  1234567890123456         +12  -> 3456123456789012
     90 ddrot060 rotate  1234567890123456         +13  -> 4561234567890123
     91 ddrot061 rotate  1234567890123456         +14  -> 5612345678901234
     92 ddrot062 rotate  1234567890123456         +15  -> 6123456789012345
     93 ddrot063 rotate  1234567890123456         +16  -> 1234567890123456
     94 
     95 -- zeros
     96 ddrot070 rotate  0E-10              +9   ->   0E-10
     97 ddrot071 rotate  0E-10              -9   ->   0E-10
     98 ddrot072 rotate  0.000              +9   ->   0.000
     99 ddrot073 rotate  0.000              -9   ->   0.000
    100 ddrot074 rotate  0E+10              +9   ->   0E+10
    101 ddrot075 rotate  0E+10              -9   ->   0E+10
    102 ddrot076 rotate -0E-10              +9   ->  -0E-10
    103 ddrot077 rotate -0E-10              -9   ->  -0E-10
    104 ddrot078 rotate -0.000              +9   ->  -0.000
    105 ddrot079 rotate -0.000              -9   ->  -0.000
    106 ddrot080 rotate -0E+10              +9   ->  -0E+10
    107 ddrot081 rotate -0E+10              -9   ->  -0E+10
    108 
    109 -- Nmax, Nmin, Ntiny
    110 ddrot141 rotate  9.999999999999999E+384     -1  -> 9.999999999999999E+384
    111 ddrot142 rotate  9.999999999999999E+384     -15 -> 9.999999999999999E+384
    112 ddrot143 rotate  9.999999999999999E+384      1  -> 9.999999999999999E+384
    113 ddrot144 rotate  9.999999999999999E+384      15 -> 9.999999999999999E+384
    114 ddrot145 rotate  1E-383                     -1  -> 1.000000000000000E-368
    115 ddrot146 rotate  1E-383                     -15 -> 1.0E-382
    116 ddrot147 rotate  1E-383                      1  -> 1.0E-382
    117 ddrot148 rotate  1E-383                      15 -> 1.000000000000000E-368
    118 ddrot151 rotate  1.000000000000000E-383     -1  -> 1.00000000000000E-384
    119 ddrot152 rotate  1.000000000000000E-383     -15 -> 1E-398
    120 ddrot153 rotate  1.000000000000000E-383      1  -> 1E-398
    121 ddrot154 rotate  1.000000000000000E-383      15 -> 1.00000000000000E-384
    122 ddrot155 rotate  9.000000000000000E-383     -1  -> 9.00000000000000E-384
    123 ddrot156 rotate  9.000000000000000E-383     -15 -> 9E-398
    124 ddrot157 rotate  9.000000000000000E-383      1  -> 9E-398
    125 ddrot158 rotate  9.000000000000000E-383      15 -> 9.00000000000000E-384
    126 ddrot160 rotate  1E-398                     -1  -> 1.000000000000000E-383
    127 ddrot161 rotate  1E-398                     -15 -> 1.0E-397
    128 ddrot162 rotate  1E-398                      1  -> 1.0E-397
    129 ddrot163 rotate  1E-398                      15 -> 1.000000000000000E-383
    130 --  negatives
    131 ddrot171 rotate -9.999999999999999E+384     -1  -> -9.999999999999999E+384
    132 ddrot172 rotate -9.999999999999999E+384     -15 -> -9.999999999999999E+384
    133 ddrot173 rotate -9.999999999999999E+384      1  -> -9.999999999999999E+384
    134 ddrot174 rotate -9.999999999999999E+384      15 -> -9.999999999999999E+384
    135 ddrot175 rotate -1E-383                     -1  -> -1.000000000000000E-368
    136 ddrot176 rotate -1E-383                     -15 -> -1.0E-382
    137 ddrot177 rotate -1E-383                      1  -> -1.0E-382
    138 ddrot178 rotate -1E-383                      15 -> -1.000000000000000E-368
    139 ddrot181 rotate -1.000000000000000E-383     -1  -> -1.00000000000000E-384
    140 ddrot182 rotate -1.000000000000000E-383     -15 -> -1E-398
    141 ddrot183 rotate -1.000000000000000E-383      1  -> -1E-398
    142 ddrot184 rotate -1.000000000000000E-383      15 -> -1.00000000000000E-384
    143 ddrot185 rotate -9.000000000000000E-383     -1  -> -9.00000000000000E-384
    144 ddrot186 rotate -9.000000000000000E-383     -15 -> -9E-398
    145 ddrot187 rotate -9.000000000000000E-383      1  -> -9E-398
    146 ddrot188 rotate -9.000000000000000E-383      15 -> -9.00000000000000E-384
    147 ddrot190 rotate -1E-398                     -1  -> -1.000000000000000E-383
    148 ddrot191 rotate -1E-398                     -15 -> -1.0E-397
    149 ddrot192 rotate -1E-398                      1  -> -1.0E-397
    150 ddrot193 rotate -1E-398                      15 -> -1.000000000000000E-383
    151 
    152 -- more negatives (of sanities)
    153 ddrot201 rotate                -0    0  -> -0
    154 ddrot202 rotate                -0    2  -> -0
    155 ddrot203 rotate                -1    2  -> -100
    156 ddrot204 rotate                -1   15  -> -1000000000000000
    157 ddrot205 rotate                -1   16  -> -1
    158 ddrot206 rotate                -1   -1  -> -1000000000000000
    159 ddrot207 rotate                -0   -2  -> -0
    160 ddrot208 rotate -1234567890123456   -1  -> -6123456789012345
    161 ddrot209 rotate -1234567890123456   -15 -> -2345678901234561
    162 ddrot210 rotate -1234567890123456   -16 -> -1234567890123456
    163 ddrot211 rotate -9934567890123456   -15 -> -9345678901234569
    164 ddrot212 rotate -9934567890123456   -16 -> -9934567890123456
    165 
    166 
    167 -- Specials; NaNs are handled as usual
    168 ddrot781 rotate -Inf  -8     -> -Infinity
    169 ddrot782 rotate -Inf  -1     -> -Infinity
    170 ddrot783 rotate -Inf  -0     -> -Infinity
    171 ddrot784 rotate -Inf   0     -> -Infinity
    172 ddrot785 rotate -Inf   1     -> -Infinity
    173 ddrot786 rotate -Inf   8     -> -Infinity
    174 ddrot787 rotate -1000 -Inf   -> NaN Invalid_operation
    175 ddrot788 rotate -Inf  -Inf   -> NaN Invalid_operation
    176 ddrot789 rotate -1    -Inf   -> NaN Invalid_operation
    177 ddrot790 rotate -0    -Inf   -> NaN Invalid_operation
    178 ddrot791 rotate  0    -Inf   -> NaN Invalid_operation
    179 ddrot792 rotate  1    -Inf   -> NaN Invalid_operation
    180 ddrot793 rotate  1000 -Inf   -> NaN Invalid_operation
    181 ddrot794 rotate  Inf  -Inf   -> NaN Invalid_operation
    182 
    183 ddrot800 rotate  Inf  -Inf   -> NaN Invalid_operation
    184 ddrot801 rotate  Inf  -8     -> Infinity
    185 ddrot802 rotate  Inf  -1     -> Infinity
    186 ddrot803 rotate  Inf  -0     -> Infinity
    187 ddrot804 rotate  Inf   0     -> Infinity
    188 ddrot805 rotate  Inf   1     -> Infinity
    189 ddrot806 rotate  Inf   8     -> Infinity
    190 ddrot807 rotate  Inf   Inf   -> NaN Invalid_operation
    191 ddrot808 rotate -1000  Inf   -> NaN Invalid_operation
    192 ddrot809 rotate -Inf   Inf   -> NaN Invalid_operation
    193 ddrot810 rotate -1     Inf   -> NaN Invalid_operation
    194 ddrot811 rotate -0     Inf   -> NaN Invalid_operation
    195 ddrot812 rotate  0     Inf   -> NaN Invalid_operation
    196 ddrot813 rotate  1     Inf   -> NaN Invalid_operation
    197 ddrot814 rotate  1000  Inf   -> NaN Invalid_operation
    198 ddrot815 rotate  Inf   Inf   -> NaN Invalid_operation
    199 
    200 ddrot821 rotate  NaN -Inf    ->  NaN
    201 ddrot822 rotate  NaN -1000   ->  NaN
    202 ddrot823 rotate  NaN -1      ->  NaN
    203 ddrot824 rotate  NaN -0      ->  NaN
    204 ddrot825 rotate  NaN  0      ->  NaN
    205 ddrot826 rotate  NaN  1      ->  NaN
    206 ddrot827 rotate  NaN  1000   ->  NaN
    207 ddrot828 rotate  NaN  Inf    ->  NaN
    208 ddrot829 rotate  NaN  NaN    ->  NaN
    209 ddrot830 rotate -Inf  NaN    ->  NaN
    210 ddrot831 rotate -1000 NaN    ->  NaN
    211 ddrot832 rotate -1    NaN    ->  NaN
    212 ddrot833 rotate -0    NaN    ->  NaN
    213 ddrot834 rotate  0    NaN    ->  NaN
    214 ddrot835 rotate  1    NaN    ->  NaN
    215 ddrot836 rotate  1000 NaN    ->  NaN
    216 ddrot837 rotate  Inf  NaN    ->  NaN
    217 
    218 ddrot841 rotate  sNaN -Inf   ->  NaN  Invalid_operation
    219 ddrot842 rotate  sNaN -1000  ->  NaN  Invalid_operation
    220 ddrot843 rotate  sNaN -1     ->  NaN  Invalid_operation
    221 ddrot844 rotate  sNaN -0     ->  NaN  Invalid_operation
    222 ddrot845 rotate  sNaN  0     ->  NaN  Invalid_operation
    223 ddrot846 rotate  sNaN  1     ->  NaN  Invalid_operation
    224 ddrot847 rotate  sNaN  1000  ->  NaN  Invalid_operation
    225 ddrot848 rotate  sNaN  NaN   ->  NaN  Invalid_operation
    226 ddrot849 rotate  sNaN sNaN   ->  NaN  Invalid_operation
    227 ddrot850 rotate  NaN  sNaN   ->  NaN  Invalid_operation
    228 ddrot851 rotate -Inf  sNaN   ->  NaN  Invalid_operation
    229 ddrot852 rotate -1000 sNaN   ->  NaN  Invalid_operation
    230 ddrot853 rotate -1    sNaN   ->  NaN  Invalid_operation
    231 ddrot854 rotate -0    sNaN   ->  NaN  Invalid_operation
    232 ddrot855 rotate  0    sNaN   ->  NaN  Invalid_operation
    233 ddrot856 rotate  1    sNaN   ->  NaN  Invalid_operation
    234 ddrot857 rotate  1000 sNaN   ->  NaN  Invalid_operation
    235 ddrot858 rotate  Inf  sNaN   ->  NaN  Invalid_operation
    236 ddrot859 rotate  NaN  sNaN   ->  NaN  Invalid_operation
    237 
    238 -- propagating NaNs
    239 ddrot861 rotate  NaN1   -Inf    ->  NaN1
    240 ddrot862 rotate +NaN2   -1000   ->  NaN2
    241 ddrot863 rotate  NaN3    1000   ->  NaN3
    242 ddrot864 rotate  NaN4    Inf    ->  NaN4
    243 ddrot865 rotate  NaN5   +NaN6   ->  NaN5
    244 ddrot866 rotate -Inf     NaN7   ->  NaN7
    245 ddrot867 rotate -1000    NaN8   ->  NaN8
    246 ddrot868 rotate  1000    NaN9   ->  NaN9
    247 ddrot869 rotate  Inf    +NaN10  ->  NaN10
    248 ddrot871 rotate  sNaN11  -Inf   ->  NaN11  Invalid_operation
    249 ddrot872 rotate  sNaN12  -1000  ->  NaN12  Invalid_operation
    250 ddrot873 rotate  sNaN13   1000  ->  NaN13  Invalid_operation
    251 ddrot874 rotate  sNaN14   NaN17 ->  NaN14  Invalid_operation
    252 ddrot875 rotate  sNaN15  sNaN18 ->  NaN15  Invalid_operation
    253 ddrot876 rotate  NaN16   sNaN19 ->  NaN19  Invalid_operation
    254 ddrot877 rotate -Inf    +sNaN20 ->  NaN20  Invalid_operation
    255 ddrot878 rotate -1000    sNaN21 ->  NaN21  Invalid_operation
    256 ddrot879 rotate  1000    sNaN22 ->  NaN22  Invalid_operation
    257 ddrot880 rotate  Inf     sNaN23 ->  NaN23  Invalid_operation
    258 ddrot881 rotate +NaN25  +sNaN24 ->  NaN24  Invalid_operation
    259 ddrot882 rotate -NaN26    NaN28 -> -NaN26
    260 ddrot883 rotate -sNaN27  sNaN29 -> -NaN27  Invalid_operation
    261 ddrot884 rotate  1000    -NaN30 -> -NaN30
    262 ddrot885 rotate  1000   -sNaN31 -> -NaN31  Invalid_operation
    263