github.com/cockroachdb/apd/v3@v3.2.0/testdata/tointegral.decTest (about)

     1  ------------------------------------------------------------------------
     2  -- tointegral.decTest -- round decimal to integral value              --
     3  -- Copyright (c) Mike Cowlishaw,  1981, 2010.  All rights reserved.   --
     4  -- Parts copyright (c) IBM Corporation, 1981, 2008.                   --
     5  ------------------------------------------------------------------------
     6  -- Please see the document "General Decimal Arithmetic Testcases"     --
     7  -- at http://speleotrove.com/decimal for the description of           --
     8  -- these testcases.                                                   --
     9  --                                                                    --
    10  -- These testcases are experimental ('beta' versions), and they       --
    11  -- may contain errors.  They are offered on an as-is basis.  In       --
    12  -- particular, achieving the same results as the tests here is not    --
    13  -- a guarantee that an implementation complies with any Standard      --
    14  -- or specification.  The tests are not exhaustive.                   --
    15  --                                                                    --
    16  -- Please send comments, suggestions, and corrections to the author:  --
    17  --   Mike Cowlishaw, mfc@speleotrove.com                              --
    18  ------------------------------------------------------------------------
    19  version: 2.62
    20  
    21  -- This set of tests tests the extended specification 'round-to-integral
    22  -- value' operation (from IEEE 854, later modified in 754r).
    23  -- All non-zero results are defined as being those from either copy or
    24  -- quantize, so those are assumed to have been tested.
    25  -- Note that 754r requires that Inexact not be set, and we similarly
    26  -- assume Rounded is not set.
    27  
    28  extended:    1
    29  precision:   9
    30  rounding:    half_up
    31  maxExponent: 999
    32  minExponent: -999
    33  
    34  intx001 tointegral      0     ->  0
    35  intx002 tointegral      0.0   ->  0
    36  intx003 tointegral      0.1   ->  0
    37  intx004 tointegral      0.2   ->  0
    38  intx005 tointegral      0.3   ->  0
    39  intx006 tointegral      0.4   ->  0
    40  intx007 tointegral      0.5   ->  1
    41  intx008 tointegral      0.6   ->  1
    42  intx009 tointegral      0.7   ->  1
    43  intx010 tointegral      0.8   ->  1
    44  intx011 tointegral      0.9   ->  1
    45  intx012 tointegral      1     ->  1
    46  intx013 tointegral      1.0   ->  1
    47  intx014 tointegral      1.1   ->  1
    48  intx015 tointegral      1.2   ->  1
    49  intx016 tointegral      1.3   ->  1
    50  intx017 tointegral      1.4   ->  1
    51  intx018 tointegral      1.5   ->  2
    52  intx019 tointegral      1.6   ->  2
    53  intx020 tointegral      1.7   ->  2
    54  intx021 tointegral      1.8   ->  2
    55  intx022 tointegral      1.9   ->  2
    56  -- negatives
    57  intx031 tointegral     -0     -> -0
    58  intx032 tointegral     -0.0   -> -0
    59  intx033 tointegral     -0.1   -> -0
    60  intx034 tointegral     -0.2   -> -0
    61  intx035 tointegral     -0.3   -> -0
    62  intx036 tointegral     -0.4   -> -0
    63  intx037 tointegral     -0.5   -> -1
    64  intx038 tointegral     -0.6   -> -1
    65  intx039 tointegral     -0.7   -> -1
    66  intx040 tointegral     -0.8   -> -1
    67  intx041 tointegral     -0.9   -> -1
    68  intx042 tointegral     -1     -> -1
    69  intx043 tointegral     -1.0   -> -1
    70  intx044 tointegral     -1.1   -> -1
    71  intx045 tointegral     -1.2   -> -1
    72  intx046 tointegral     -1.3   -> -1
    73  intx047 tointegral     -1.4   -> -1
    74  intx048 tointegral     -1.5   -> -2
    75  intx049 tointegral     -1.6   -> -2
    76  intx050 tointegral     -1.7   -> -2
    77  intx051 tointegral     -1.8   -> -2
    78  intx052 tointegral     -1.9   -> -2
    79  -- next two would be NaN using quantize(x, 0)
    80  intx053 tointegral    10E+30  -> 1.0E+31
    81  intx054 tointegral   -10E+30  -> -1.0E+31
    82  
    83  -- numbers around precision
    84  precision: 9
    85  intx060 tointegral '56267E-10'   -> '0'
    86  intx061 tointegral '56267E-5'    -> '1'
    87  intx062 tointegral '56267E-2'    -> '563'
    88  intx063 tointegral '56267E-1'    -> '5627'
    89  intx065 tointegral '56267E-0'    -> '56267'
    90  intx066 tointegral '56267E+0'    -> '56267'
    91  intx067 tointegral '56267E+1'    -> '5.6267E+5'
    92  intx068 tointegral '56267E+2'    -> '5.6267E+6'
    93  intx069 tointegral '56267E+3'    -> '5.6267E+7'
    94  intx070 tointegral '56267E+4'    -> '5.6267E+8'
    95  intx071 tointegral '56267E+5'    -> '5.6267E+9'
    96  intx072 tointegral '56267E+6'    -> '5.6267E+10'
    97  intx073 tointegral '1.23E+96'    -> '1.23E+96'
    98  intx074 tointegral '1.23E+384'   -> '1.23E+384'
    99  intx075 tointegral '1.23E+999'   -> '1.23E+999'
   100  
   101  intx080 tointegral '-56267E-10'  -> '-0'
   102  intx081 tointegral '-56267E-5'   -> '-1'
   103  intx082 tointegral '-56267E-2'   -> '-563'
   104  intx083 tointegral '-56267E-1'   -> '-5627'
   105  intx085 tointegral '-56267E-0'   -> '-56267'
   106  intx086 tointegral '-56267E+0'   -> '-56267'
   107  intx087 tointegral '-56267E+1'   -> '-5.6267E+5'
   108  intx088 tointegral '-56267E+2'   -> '-5.6267E+6'
   109  intx089 tointegral '-56267E+3'   -> '-5.6267E+7'
   110  intx090 tointegral '-56267E+4'   -> '-5.6267E+8'
   111  intx091 tointegral '-56267E+5'   -> '-5.6267E+9'
   112  intx092 tointegral '-56267E+6'   -> '-5.6267E+10'
   113  intx093 tointegral '-1.23E+96'   -> '-1.23E+96'
   114  intx094 tointegral '-1.23E+384'  -> '-1.23E+384'
   115  intx095 tointegral '-1.23E+999'  -> '-1.23E+999'
   116  
   117  -- subnormal inputs
   118  intx100 tointegral        1E-999 -> 0
   119  intx101 tointegral      0.1E-999 -> 0
   120  intx102 tointegral     0.01E-999 -> 0
   121  intx103 tointegral        0E-999 -> 0
   122  
   123  -- specials and zeros
   124  intx120 tointegral 'Inf'       ->  Infinity
   125  intx121 tointegral '-Inf'      -> -Infinity
   126  intx122 tointegral   NaN       ->  NaN
   127  intx123 tointegral  sNaN       ->  NaN  Invalid_operation
   128  intx124 tointegral     0       ->  0
   129  intx125 tointegral    -0       -> -0
   130  intx126 tointegral     0.000   ->  0
   131  intx127 tointegral     0.00    ->  0
   132  intx128 tointegral     0.0     ->  0
   133  intx129 tointegral     0       ->  0
   134  intx130 tointegral     0E-3    ->  0
   135  intx131 tointegral     0E-2    ->  0
   136  intx132 tointegral     0E-1    ->  0
   137  intx133 tointegral     0E-0    ->  0
   138  intx134 tointegral     0E+1    ->  0E+1
   139  intx135 tointegral     0E+2    ->  0E+2
   140  intx136 tointegral     0E+3    ->  0E+3
   141  intx137 tointegral     0E+4    ->  0E+4
   142  intx138 tointegral     0E+5    ->  0E+5
   143  intx139 tointegral    -0.000   -> -0
   144  intx140 tointegral    -0.00    -> -0
   145  intx141 tointegral    -0.0     -> -0
   146  intx142 tointegral    -0       -> -0
   147  intx143 tointegral    -0E-3    -> -0
   148  intx144 tointegral    -0E-2    -> -0
   149  intx145 tointegral    -0E-1    -> -0
   150  intx146 tointegral    -0E-0    -> -0
   151  intx147 tointegral    -0E+1    -> -0E+1
   152  intx148 tointegral    -0E+2    -> -0E+2
   153  intx149 tointegral    -0E+3    -> -0E+3
   154  intx150 tointegral    -0E+4    -> -0E+4
   155  intx151 tointegral    -0E+5    -> -0E+5
   156  -- propagating NaNs
   157  intx152 tointegral   NaN808    ->  NaN808
   158  intx153 tointegral  sNaN080    ->  NaN80  Invalid_operation
   159  intx154 tointegral  -NaN808    -> -NaN808
   160  intx155 tointegral -sNaN080    -> -NaN80  Invalid_operation
   161  intx156 tointegral  -NaN       -> -NaN
   162  intx157 tointegral -sNaN       -> -NaN    Invalid_operation
   163  
   164  -- examples
   165  rounding:    half_up
   166  precision:   9
   167  intx200 tointegral     2.1    -> 2
   168  intx201 tointegral   100      -> 100
   169  intx202 tointegral   100.0    -> 100
   170  intx203 tointegral   101.5    -> 102
   171  intx204 tointegral  -101.5    -> -102
   172  intx205 tointegral   10E+5    -> 1.0E+6
   173  intx206 tointegral  7.89E+77  -> 7.89E+77
   174  intx207 tointegral   -Inf     -> -Infinity
   175  
   176  
   177  -- all rounding modes
   178  rounding:    half_even
   179  
   180  intx210 tointegral     55.5   ->  56
   181  intx211 tointegral     56.5   ->  56
   182  intx212 tointegral     57.5   ->  58
   183  intx213 tointegral    -55.5   -> -56
   184  intx214 tointegral    -56.5   -> -56
   185  intx215 tointegral    -57.5   -> -58
   186  
   187  rounding:    half_up
   188  
   189  intx220 tointegral     55.5   ->  56
   190  intx221 tointegral     56.5   ->  57
   191  intx222 tointegral     57.5   ->  58
   192  intx223 tointegral    -55.5   -> -56
   193  intx224 tointegral    -56.5   -> -57
   194  intx225 tointegral    -57.5   -> -58
   195  
   196  rounding:    half_down
   197  
   198  intx230 tointegral     55.5   ->  55
   199  intx231 tointegral     56.5   ->  56
   200  intx232 tointegral     57.5   ->  57
   201  intx233 tointegral    -55.5   -> -55
   202  intx234 tointegral    -56.5   -> -56
   203  intx235 tointegral    -57.5   -> -57
   204  
   205  rounding:    up
   206  
   207  intx240 tointegral     55.3   ->  56
   208  intx241 tointegral     56.3   ->  57
   209  intx242 tointegral     57.3   ->  58
   210  intx243 tointegral    -55.3   -> -56
   211  intx244 tointegral    -56.3   -> -57
   212  intx245 tointegral    -57.3   -> -58
   213  
   214  rounding:    down
   215  
   216  intx250 tointegral     55.7   ->  55
   217  intx251 tointegral     56.7   ->  56
   218  intx252 tointegral     57.7   ->  57
   219  intx253 tointegral    -55.7   -> -55
   220  intx254 tointegral    -56.7   -> -56
   221  intx255 tointegral    -57.7   -> -57
   222  
   223  rounding:    ceiling
   224  
   225  intx260 tointegral     55.3   ->  56
   226  intx261 tointegral     56.3   ->  57
   227  intx262 tointegral     57.3   ->  58
   228  intx263 tointegral    -55.3   -> -55
   229  intx264 tointegral    -56.3   -> -56
   230  intx265 tointegral    -57.3   -> -57
   231  
   232  rounding:    floor
   233  
   234  intx270 tointegral     55.7   ->  55
   235  intx271 tointegral     56.7   ->  56
   236  intx272 tointegral     57.7   ->  57
   237  intx273 tointegral    -55.7   -> -56
   238  intx274 tointegral    -56.7   -> -57
   239  intx275 tointegral    -57.7   -> -58
   240