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      1 ------------------------------------------------------------------------
      2 -- dqRotate.decTest -- rotate decQuad 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 extended:    1
     23 clamp:       1
     24 precision:   34
     25 maxExponent: 6144
     26 minExponent: -6143
     27 rounding:    half_even
     28 
     29 -- Sanity check
     30 dqrot001 rotate                                   0    0  ->  0
     31 dqrot002 rotate                                   0    2  ->  0
     32 dqrot003 rotate                                   1    2  ->  100
     33 dqrot004 rotate                                   1   33  ->  1000000000000000000000000000000000
     34 dqrot005 rotate                                   1   34  ->  1
     35 dqrot006 rotate                                   1   -1  ->  1000000000000000000000000000000000
     36 dqrot007 rotate                                   0   -2  ->  0
     37 dqrot008 rotate  1234567890123456789012345678901234   -1  ->  4123456789012345678901234567890123
     38 dqrot009 rotate  1234567890123456789012345678901234   -33 ->  2345678901234567890123456789012341
     39 dqrot010 rotate  1234567890123456789012345678901234   -34 ->  1234567890123456789012345678901234
     40 dqrot011 rotate  9934567890123456789012345678901234   -33 ->  9345678901234567890123456789012349
     41 dqrot012 rotate  9934567890123456789012345678901234   -34 ->  9934567890123456789012345678901234
     42 
     43 -- rhs must be an integer
     44 dqrot015 rotate        1    1.5    -> NaN Invalid_operation
     45 dqrot016 rotate        1    1.0    -> NaN Invalid_operation
     46 dqrot017 rotate        1    0.1    -> NaN Invalid_operation
     47 dqrot018 rotate        1    0.0    -> NaN Invalid_operation
     48 dqrot019 rotate        1    1E+1   -> NaN Invalid_operation
     49 dqrot020 rotate        1    1E+99  -> NaN Invalid_operation
     50 dqrot021 rotate        1    Inf    -> NaN Invalid_operation
     51 dqrot022 rotate        1    -Inf   -> NaN Invalid_operation
     52 -- and |rhs| <= precision
     53 dqrot025 rotate        1    -1000  -> NaN Invalid_operation
     54 dqrot026 rotate        1    -35    -> NaN Invalid_operation
     55 dqrot027 rotate        1     35    -> NaN Invalid_operation
     56 dqrot028 rotate        1     1000  -> NaN Invalid_operation
     57 
     58 -- full pattern
     59 dqrot030 rotate  1234567890123456789012345678901234         -34  -> 1234567890123456789012345678901234
     60 dqrot031 rotate  1234567890123456789012345678901234         -33  -> 2345678901234567890123456789012341
     61 dqrot032 rotate  1234567890123456789012345678901234         -32  -> 3456789012345678901234567890123412
     62 dqrot033 rotate  1234567890123456789012345678901234         -31  -> 4567890123456789012345678901234123
     63 dqrot034 rotate  1234567890123456789012345678901234         -30  -> 5678901234567890123456789012341234
     64 dqrot035 rotate  1234567890123456789012345678901234         -29  -> 6789012345678901234567890123412345
     65 dqrot036 rotate  1234567890123456789012345678901234         -28  -> 7890123456789012345678901234123456
     66 dqrot037 rotate  1234567890123456789012345678901234         -27  -> 8901234567890123456789012341234567
     67 dqrot038 rotate  1234567890123456789012345678901234         -26  -> 9012345678901234567890123412345678
     68 dqrot039 rotate  1234567890123456789012345678901234         -25  ->  123456789012345678901234123456789
     69 dqrot040 rotate  1234567890123456789012345678901234         -24  -> 1234567890123456789012341234567890
     70 dqrot041 rotate  1234567890123456789012345678901234         -23  -> 2345678901234567890123412345678901
     71 dqrot042 rotate  1234567890123456789012345678901234         -22  -> 3456789012345678901234123456789012
     72 dqrot043 rotate  1234567890123456789012345678901234         -21  -> 4567890123456789012341234567890123
     73 dqrot044 rotate  1234567890123456789012345678901234         -20  -> 5678901234567890123412345678901234
     74 dqrot045 rotate  1234567890123456789012345678901234         -19  -> 6789012345678901234123456789012345
     75 dqrot047 rotate  1234567890123456789012345678901234         -18  -> 7890123456789012341234567890123456
     76 dqrot048 rotate  1234567890123456789012345678901234         -17  -> 8901234567890123412345678901234567
     77 dqrot049 rotate  1234567890123456789012345678901234         -16  -> 9012345678901234123456789012345678
     78 dqrot050 rotate  1234567890123456789012345678901234         -15  ->  123456789012341234567890123456789
     79 dqrot051 rotate  1234567890123456789012345678901234         -14  -> 1234567890123412345678901234567890
     80 dqrot052 rotate  1234567890123456789012345678901234         -13  -> 2345678901234123456789012345678901
     81 dqrot053 rotate  1234567890123456789012345678901234         -12  -> 3456789012341234567890123456789012
     82 dqrot054 rotate  1234567890123456789012345678901234         -11  -> 4567890123412345678901234567890123
     83 dqrot055 rotate  1234567890123456789012345678901234         -10  -> 5678901234123456789012345678901234
     84 dqrot056 rotate  1234567890123456789012345678901234         -9   -> 6789012341234567890123456789012345
     85 dqrot057 rotate  1234567890123456789012345678901234         -8   -> 7890123412345678901234567890123456
     86 dqrot058 rotate  1234567890123456789012345678901234         -7   -> 8901234123456789012345678901234567
     87 dqrot059 rotate  1234567890123456789012345678901234         -6   -> 9012341234567890123456789012345678
     88 dqrot060 rotate  1234567890123456789012345678901234         -5   ->  123412345678901234567890123456789
     89 dqrot061 rotate  1234567890123456789012345678901234         -4   -> 1234123456789012345678901234567890
     90 dqrot062 rotate  1234567890123456789012345678901234         -3   -> 2341234567890123456789012345678901
     91 dqrot063 rotate  1234567890123456789012345678901234         -2   -> 3412345678901234567890123456789012
     92 dqrot064 rotate  1234567890123456789012345678901234         -1   -> 4123456789012345678901234567890123
     93 dqrot065 rotate  1234567890123456789012345678901234         -0   -> 1234567890123456789012345678901234
     94 
     95 dqrot066 rotate  1234567890123456789012345678901234         +0   -> 1234567890123456789012345678901234
     96 dqrot067 rotate  1234567890123456789012345678901234         +1   -> 2345678901234567890123456789012341
     97 dqrot068 rotate  1234567890123456789012345678901234         +2   -> 3456789012345678901234567890123412
     98 dqrot069 rotate  1234567890123456789012345678901234         +3   -> 4567890123456789012345678901234123
     99 dqrot070 rotate  1234567890123456789012345678901234         +4   -> 5678901234567890123456789012341234
    100 dqrot071 rotate  1234567890123456789012345678901234         +5   -> 6789012345678901234567890123412345
    101 dqrot072 rotate  1234567890123456789012345678901234         +6   -> 7890123456789012345678901234123456
    102 dqrot073 rotate  1234567890123456789012345678901234         +7   -> 8901234567890123456789012341234567
    103 dqrot074 rotate  1234567890123456789012345678901234         +8   -> 9012345678901234567890123412345678
    104 dqrot075 rotate  1234567890123456789012345678901234         +9   ->  123456789012345678901234123456789
    105 dqrot076 rotate  1234567890123456789012345678901234         +10  -> 1234567890123456789012341234567890
    106 dqrot077 rotate  1234567890123456789012345678901234         +11  -> 2345678901234567890123412345678901
    107 dqrot078 rotate  1234567890123456789012345678901234         +12  -> 3456789012345678901234123456789012
    108 dqrot079 rotate  1234567890123456789012345678901234         +13  -> 4567890123456789012341234567890123
    109 dqrot080 rotate  1234567890123456789012345678901234         +14  -> 5678901234567890123412345678901234
    110 dqrot081 rotate  1234567890123456789012345678901234         +15  -> 6789012345678901234123456789012345
    111 dqrot082 rotate  1234567890123456789012345678901234         +16  -> 7890123456789012341234567890123456
    112 dqrot083 rotate  1234567890123456789012345678901234         +17  -> 8901234567890123412345678901234567
    113 dqrot084 rotate  1234567890123456789012345678901234         +18  -> 9012345678901234123456789012345678
    114 dqrot085 rotate  1234567890123456789012345678901234         +19  ->  123456789012341234567890123456789
    115 dqrot086 rotate  1234567890123456789012345678901234         +20  -> 1234567890123412345678901234567890
    116 dqrot087 rotate  1234567890123456789012345678901234         +21  -> 2345678901234123456789012345678901
    117 dqrot088 rotate  1234567890123456789012345678901234         +22  -> 3456789012341234567890123456789012
    118 dqrot089 rotate  1234567890123456789012345678901234         +23  -> 4567890123412345678901234567890123
    119 dqrot090 rotate  1234567890123456789012345678901234         +24  -> 5678901234123456789012345678901234
    120 dqrot091 rotate  1234567890123456789012345678901234         +25  -> 6789012341234567890123456789012345
    121 dqrot092 rotate  1234567890123456789012345678901234         +26  -> 7890123412345678901234567890123456
    122 dqrot093 rotate  1234567890123456789012345678901234         +27  -> 8901234123456789012345678901234567
    123 dqrot094 rotate  1234567890123456789012345678901234         +28  -> 9012341234567890123456789012345678
    124 dqrot095 rotate  1234567890123456789012345678901234         +29  ->  123412345678901234567890123456789
    125 dqrot096 rotate  1234567890123456789012345678901234         +30  -> 1234123456789012345678901234567890
    126 dqrot097 rotate  1234567890123456789012345678901234         +31  -> 2341234567890123456789012345678901
    127 dqrot098 rotate  1234567890123456789012345678901234         +32  -> 3412345678901234567890123456789012
    128 dqrot099 rotate  1234567890123456789012345678901234         +33  -> 4123456789012345678901234567890123
    129 dqrot100 rotate  1234567890123456789012345678901234         +34  -> 1234567890123456789012345678901234
    130 
    131 -- zeros
    132 dqrot270 rotate  0E-10              +29   ->   0E-10
    133 dqrot271 rotate  0E-10              -29   ->   0E-10
    134 dqrot272 rotate  0.000              +29   ->   0.000
    135 dqrot273 rotate  0.000              -29   ->   0.000
    136 dqrot274 rotate  0E+10              +29   ->   0E+10
    137 dqrot275 rotate  0E+10              -29   ->   0E+10
    138 dqrot276 rotate -0E-10              +29   ->  -0E-10
    139 dqrot277 rotate -0E-10              -29   ->  -0E-10
    140 dqrot278 rotate -0.000              +29   ->  -0.000
    141 dqrot279 rotate -0.000              -29   ->  -0.000
    142 dqrot280 rotate -0E+10              +29   ->  -0E+10
    143 dqrot281 rotate -0E+10              -29   ->  -0E+10
    144 
    145 -- Nmax, Nmin, Ntiny
    146 dqrot141 rotate  9.999999999999999999999999999999999E+6144     -1  -> 9.999999999999999999999999999999999E+6144
    147 dqrot142 rotate  9.999999999999999999999999999999999E+6144     -33 -> 9.999999999999999999999999999999999E+6144
    148 dqrot143 rotate  9.999999999999999999999999999999999E+6144      1  -> 9.999999999999999999999999999999999E+6144
    149 dqrot144 rotate  9.999999999999999999999999999999999E+6144      33 -> 9.999999999999999999999999999999999E+6144
    150 dqrot145 rotate  1E-6143                                       -1  -> 1.000000000000000000000000000000000E-6110
    151 dqrot146 rotate  1E-6143                                       -33 -> 1.0E-6142
    152 dqrot147 rotate  1E-6143                                        1  -> 1.0E-6142
    153 dqrot148 rotate  1E-6143                                        33 -> 1.000000000000000000000000000000000E-6110
    154 dqrot151 rotate  1.000000000000000000000000000000000E-6143     -1  -> 1.00000000000000000000000000000000E-6144
    155 dqrot152 rotate  1.000000000000000000000000000000000E-6143     -33 -> 1E-6176
    156 dqrot153 rotate  1.000000000000000000000000000000000E-6143      1  -> 1E-6176
    157 dqrot154 rotate  1.000000000000000000000000000000000E-6143      33 -> 1.00000000000000000000000000000000E-6144
    158 dqrot155 rotate  9.000000000000000000000000000000000E-6143     -1  -> 9.00000000000000000000000000000000E-6144
    159 dqrot156 rotate  9.000000000000000000000000000000000E-6143     -33 -> 9E-6176
    160 dqrot157 rotate  9.000000000000000000000000000000000E-6143      1  -> 9E-6176
    161 dqrot158 rotate  9.000000000000000000000000000000000E-6143      33 -> 9.00000000000000000000000000000000E-6144
    162 dqrot160 rotate  1E-6176                                       -1  -> 1.000000000000000000000000000000000E-6143
    163 dqrot161 rotate  1E-6176                                       -33 -> 1.0E-6175
    164 dqrot162 rotate  1E-6176                                        1  -> 1.0E-6175
    165 dqrot163 rotate  1E-6176                                        33 -> 1.000000000000000000000000000000000E-6143
    166 --  negatives
    167 dqrot171 rotate -9.999999999999999999999999999999999E+6144     -1  -> -9.999999999999999999999999999999999E+6144
    168 dqrot172 rotate -9.999999999999999999999999999999999E+6144     -33 -> -9.999999999999999999999999999999999E+6144
    169 dqrot173 rotate -9.999999999999999999999999999999999E+6144      1  -> -9.999999999999999999999999999999999E+6144
    170 dqrot174 rotate -9.999999999999999999999999999999999E+6144      33 -> -9.999999999999999999999999999999999E+6144
    171 dqrot175 rotate -1E-6143                                       -1  -> -1.000000000000000000000000000000000E-6110
    172 dqrot176 rotate -1E-6143                                       -33 -> -1.0E-6142
    173 dqrot177 rotate -1E-6143                                        1  -> -1.0E-6142
    174 dqrot178 rotate -1E-6143                                        33 -> -1.000000000000000000000000000000000E-6110
    175 dqrot181 rotate -1.000000000000000000000000000000000E-6143     -1  -> -1.00000000000000000000000000000000E-6144
    176 dqrot182 rotate -1.000000000000000000000000000000000E-6143     -33 -> -1E-6176
    177 dqrot183 rotate -1.000000000000000000000000000000000E-6143      1  -> -1E-6176
    178 dqrot184 rotate -1.000000000000000000000000000000000E-6143      33 -> -1.00000000000000000000000000000000E-6144
    179 dqrot185 rotate -9.000000000000000000000000000000000E-6143     -1  -> -9.00000000000000000000000000000000E-6144
    180 dqrot186 rotate -9.000000000000000000000000000000000E-6143     -33 -> -9E-6176
    181 dqrot187 rotate -9.000000000000000000000000000000000E-6143      1  -> -9E-6176
    182 dqrot188 rotate -9.000000000000000000000000000000000E-6143      33 -> -9.00000000000000000000000000000000E-6144
    183 dqrot190 rotate -1E-6176                                       -1  -> -1.000000000000000000000000000000000E-6143
    184 dqrot191 rotate -1E-6176                                       -33 -> -1.0E-6175
    185 dqrot192 rotate -1E-6176                                        1  -> -1.0E-6175
    186 dqrot193 rotate -1E-6176                                        33 -> -1.000000000000000000000000000000000E-6143
    187 
    188 -- more negatives (of sanities)
    189 dqrot201 rotate                                  -0    0  -> -0
    190 dqrot202 rotate                                  -0    2  -> -0
    191 dqrot203 rotate                                  -1    2  -> -100
    192 dqrot204 rotate                                  -1   33  -> -1000000000000000000000000000000000
    193 dqrot205 rotate                                  -1   34  -> -1
    194 dqrot206 rotate                                  -1   -1  -> -1000000000000000000000000000000000
    195 dqrot207 rotate                                  -0   -2  -> -0
    196 dqrot208 rotate -1234567890123456789012345678901234   -1  -> -4123456789012345678901234567890123
    197 dqrot209 rotate -1234567890123456789012345678901234   -33 -> -2345678901234567890123456789012341
    198 dqrot210 rotate -1234567890123456789012345678901234   -34 -> -1234567890123456789012345678901234
    199 dqrot211 rotate -9934567890123456789012345678901234   -33 -> -9345678901234567890123456789012349
    200 dqrot212 rotate -9934567890123456789012345678901234   -34 -> -9934567890123456789012345678901234
    201 
    202 
    203 -- Specials; NaNs are handled as usual
    204 dqrot781 rotate -Inf  -8     -> -Infinity
    205 dqrot782 rotate -Inf  -1     -> -Infinity
    206 dqrot783 rotate -Inf  -0     -> -Infinity
    207 dqrot784 rotate -Inf   0     -> -Infinity
    208 dqrot785 rotate -Inf   1     -> -Infinity
    209 dqrot786 rotate -Inf   8     -> -Infinity
    210 dqrot787 rotate -1000 -Inf   -> NaN Invalid_operation
    211 dqrot788 rotate -Inf  -Inf   -> NaN Invalid_operation
    212 dqrot789 rotate -1    -Inf   -> NaN Invalid_operation
    213 dqrot790 rotate -0    -Inf   -> NaN Invalid_operation
    214 dqrot791 rotate  0    -Inf   -> NaN Invalid_operation
    215 dqrot792 rotate  1    -Inf   -> NaN Invalid_operation
    216 dqrot793 rotate  1000 -Inf   -> NaN Invalid_operation
    217 dqrot794 rotate  Inf  -Inf   -> NaN Invalid_operation
    218 
    219 dqrot800 rotate  Inf  -Inf   -> NaN Invalid_operation
    220 dqrot801 rotate  Inf  -8     -> Infinity
    221 dqrot802 rotate  Inf  -1     -> Infinity
    222 dqrot803 rotate  Inf  -0     -> Infinity
    223 dqrot804 rotate  Inf   0     -> Infinity
    224 dqrot805 rotate  Inf   1     -> Infinity
    225 dqrot806 rotate  Inf   8     -> Infinity
    226 dqrot807 rotate  Inf   Inf   -> NaN Invalid_operation
    227 dqrot808 rotate -1000  Inf   -> NaN Invalid_operation
    228 dqrot809 rotate -Inf   Inf   -> NaN Invalid_operation
    229 dqrot810 rotate -1     Inf   -> NaN Invalid_operation
    230 dqrot811 rotate -0     Inf   -> NaN Invalid_operation
    231 dqrot812 rotate  0     Inf   -> NaN Invalid_operation
    232 dqrot813 rotate  1     Inf   -> NaN Invalid_operation
    233 dqrot814 rotate  1000  Inf   -> NaN Invalid_operation
    234 dqrot815 rotate  Inf   Inf   -> NaN Invalid_operation
    235 
    236 dqrot821 rotate  NaN -Inf    ->  NaN
    237 dqrot822 rotate  NaN -1000   ->  NaN
    238 dqrot823 rotate  NaN -1      ->  NaN
    239 dqrot824 rotate  NaN -0      ->  NaN
    240 dqrot825 rotate  NaN  0      ->  NaN
    241 dqrot826 rotate  NaN  1      ->  NaN
    242 dqrot827 rotate  NaN  1000   ->  NaN
    243 dqrot828 rotate  NaN  Inf    ->  NaN
    244 dqrot829 rotate  NaN  NaN    ->  NaN
    245 dqrot830 rotate -Inf  NaN    ->  NaN
    246 dqrot831 rotate -1000 NaN    ->  NaN
    247 dqrot832 rotate -1    NaN    ->  NaN
    248 dqrot833 rotate -0    NaN    ->  NaN
    249 dqrot834 rotate  0    NaN    ->  NaN
    250 dqrot835 rotate  1    NaN    ->  NaN
    251 dqrot836 rotate  1000 NaN    ->  NaN
    252 dqrot837 rotate  Inf  NaN    ->  NaN
    253 
    254 dqrot841 rotate  sNaN -Inf   ->  NaN  Invalid_operation
    255 dqrot842 rotate  sNaN -1000  ->  NaN  Invalid_operation
    256 dqrot843 rotate  sNaN -1     ->  NaN  Invalid_operation
    257 dqrot844 rotate  sNaN -0     ->  NaN  Invalid_operation
    258 dqrot845 rotate  sNaN  0     ->  NaN  Invalid_operation
    259 dqrot846 rotate  sNaN  1     ->  NaN  Invalid_operation
    260 dqrot847 rotate  sNaN  1000  ->  NaN  Invalid_operation
    261 dqrot848 rotate  sNaN  NaN   ->  NaN  Invalid_operation
    262 dqrot849 rotate  sNaN sNaN   ->  NaN  Invalid_operation
    263 dqrot850 rotate  NaN  sNaN   ->  NaN  Invalid_operation
    264 dqrot851 rotate -Inf  sNaN   ->  NaN  Invalid_operation
    265 dqrot852 rotate -1000 sNaN   ->  NaN  Invalid_operation
    266 dqrot853 rotate -1    sNaN   ->  NaN  Invalid_operation
    267 dqrot854 rotate -0    sNaN   ->  NaN  Invalid_operation
    268 dqrot855 rotate  0    sNaN   ->  NaN  Invalid_operation
    269 dqrot856 rotate  1    sNaN   ->  NaN  Invalid_operation
    270 dqrot857 rotate  1000 sNaN   ->  NaN  Invalid_operation
    271 dqrot858 rotate  Inf  sNaN   ->  NaN  Invalid_operation
    272 dqrot859 rotate  NaN  sNaN   ->  NaN  Invalid_operation
    273 
    274 -- propagating NaNs
    275 dqrot861 rotate  NaN1   -Inf    ->  NaN1
    276 dqrot862 rotate +NaN2   -1000   ->  NaN2
    277 dqrot863 rotate  NaN3    1000   ->  NaN3
    278 dqrot864 rotate  NaN4    Inf    ->  NaN4
    279 dqrot865 rotate  NaN5   +NaN6   ->  NaN5
    280 dqrot866 rotate -Inf     NaN7   ->  NaN7
    281 dqrot867 rotate -1000    NaN8   ->  NaN8
    282 dqrot868 rotate  1000    NaN9   ->  NaN9
    283 dqrot869 rotate  Inf    +NaN10  ->  NaN10
    284 dqrot871 rotate  sNaN11  -Inf   ->  NaN11  Invalid_operation
    285 dqrot872 rotate  sNaN12  -1000  ->  NaN12  Invalid_operation
    286 dqrot873 rotate  sNaN13   1000  ->  NaN13  Invalid_operation
    287 dqrot874 rotate  sNaN14   NaN17 ->  NaN14  Invalid_operation
    288 dqrot875 rotate  sNaN15  sNaN18 ->  NaN15  Invalid_operation
    289 dqrot876 rotate  NaN16   sNaN19 ->  NaN19  Invalid_operation
    290 dqrot877 rotate -Inf    +sNaN20 ->  NaN20  Invalid_operation
    291 dqrot878 rotate -1000    sNaN21 ->  NaN21  Invalid_operation
    292 dqrot879 rotate  1000    sNaN22 ->  NaN22  Invalid_operation
    293 dqrot880 rotate  Inf     sNaN23 ->  NaN23  Invalid_operation
    294 dqrot881 rotate +NaN25  +sNaN24 ->  NaN24  Invalid_operation
    295 dqrot882 rotate -NaN26    NaN28 -> -NaN26
    296 dqrot883 rotate -sNaN27  sNaN29 -> -NaN27  Invalid_operation
    297 dqrot884 rotate  1000    -NaN30 -> -NaN30
    298 dqrot885 rotate  1000   -sNaN31 -> -NaN31  Invalid_operation
    299