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      1 ------------------------------------------------------------------------
      2 -- ddLogB.decTest -- integral 754r adjusted exponent, for decDoubles  --
      3 -- Copyright (c) IBM Corporation, 2005, 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 -- basics
     30 ddlogb000 logb  0                 -> -Infinity  Division_by_zero
     31 ddlogb001 logb  1E-398            -> -398
     32 ddlogb002 logb  1E-383            -> -383
     33 ddlogb003 logb  0.001             -> -3
     34 ddlogb004 logb  0.03              -> -2
     35 ddlogb005 logb  1                 ->  0
     36 ddlogb006 logb  2                 ->  0
     37 ddlogb007 logb  2.5               ->  0
     38 ddlogb008 logb  2.500             ->  0
     39 ddlogb009 logb  10                ->  1
     40 ddlogb010 logb  70                ->  1
     41 ddlogb011 logb  100               ->  2
     42 ddlogb012 logb  333               ->  2
     43 ddlogb013 logb  9E+384            ->  384
     44 ddlogb014 logb +Infinity          ->  Infinity
     45 
     46 -- negatives appear to be treated as positives
     47 ddlogb021 logb -0                 -> -Infinity  Division_by_zero
     48 ddlogb022 logb -1E-398            -> -398
     49 ddlogb023 logb -9E-383            -> -383
     50 ddlogb024 logb -0.001             -> -3
     51 ddlogb025 logb -1                 ->  0
     52 ddlogb026 logb -2                 ->  0
     53 ddlogb027 logb -10                ->  1
     54 ddlogb028 logb -70                ->  1
     55 ddlogb029 logb -100               ->  2
     56 ddlogb030 logb -9E+384            ->  384
     57 ddlogb031 logb -Infinity          ->  Infinity
     58 
     59 -- zeros
     60 ddlogb111 logb          0   -> -Infinity  Division_by_zero
     61 ddlogb112 logb         -0   -> -Infinity  Division_by_zero
     62 ddlogb113 logb       0E+4   -> -Infinity  Division_by_zero
     63 ddlogb114 logb      -0E+4   -> -Infinity  Division_by_zero
     64 ddlogb115 logb     0.0000   -> -Infinity  Division_by_zero
     65 ddlogb116 logb    -0.0000   -> -Infinity  Division_by_zero
     66 ddlogb117 logb      0E-141  -> -Infinity  Division_by_zero
     67 ddlogb118 logb     -0E-141  -> -Infinity  Division_by_zero
     68 
     69 -- full coefficients, alternating bits
     70 ddlogb121 logb   268268268        -> 8
     71 ddlogb122 logb  -268268268        -> 8
     72 ddlogb123 logb   134134134        -> 8
     73 ddlogb124 logb  -134134134        -> 8
     74 
     75 -- Nmax, Nmin, Ntiny
     76 ddlogb131 logb  9.999999999999999E+384   ->  384
     77 ddlogb132 logb  1E-383                   -> -383
     78 ddlogb133 logb  1.000000000000000E-383   -> -383
     79 ddlogb134 logb  1E-398                   -> -398
     80 
     81 ddlogb135 logb  -1E-398                  -> -398
     82 ddlogb136 logb  -1.000000000000000E-383  -> -383
     83 ddlogb137 logb  -1E-383                  -> -383
     84 ddlogb138 logb  -9.999999999999999E+384  ->  384
     85 
     86 -- ones
     87 ddlogb0061 logb  1                 ->   0
     88 ddlogb0062 logb  1.0               ->   0
     89 ddlogb0063 logb  1.000000000000000 ->   0
     90 
     91 -- notable cases -- exact powers of 10
     92 ddlogb1100 logb 1             -> 0
     93 ddlogb1101 logb 10            -> 1
     94 ddlogb1102 logb 100           -> 2
     95 ddlogb1103 logb 1000          -> 3
     96 ddlogb1104 logb 10000         -> 4
     97 ddlogb1105 logb 100000        -> 5
     98 ddlogb1106 logb 1000000       -> 6
     99 ddlogb1107 logb 10000000      -> 7
    100 ddlogb1108 logb 100000000     -> 8
    101 ddlogb1109 logb 1000000000    -> 9
    102 ddlogb1110 logb 10000000000   -> 10
    103 ddlogb1111 logb 100000000000  -> 11
    104 ddlogb1112 logb 1000000000000 -> 12
    105 ddlogb1113 logb 0.00000000001 -> -11
    106 ddlogb1114 logb 0.0000000001 -> -10
    107 ddlogb1115 logb 0.000000001 -> -9
    108 ddlogb1116 logb 0.00000001 -> -8
    109 ddlogb1117 logb 0.0000001 -> -7
    110 ddlogb1118 logb 0.000001 -> -6
    111 ddlogb1119 logb 0.00001 -> -5
    112 ddlogb1120 logb 0.0001 -> -4
    113 ddlogb1121 logb 0.001 -> -3
    114 ddlogb1122 logb 0.01 -> -2
    115 ddlogb1123 logb 0.1 -> -1
    116 ddlogb1124 logb 1E-99  -> -99
    117 ddlogb1125 logb 1E-100 -> -100
    118 ddlogb1127 logb 1E-299 -> -299
    119 ddlogb1126 logb 1E-383 -> -383
    120 
    121 -- suggestions from Ilan Nehama
    122 ddlogb1400 logb 10E-3    -> -2
    123 ddlogb1401 logb 10E-2    -> -1
    124 ddlogb1402 logb 100E-2   ->  0
    125 ddlogb1403 logb 1000E-2  ->  1
    126 ddlogb1404 logb 10000E-2 ->  2
    127 ddlogb1405 logb 10E-1    ->  0
    128 ddlogb1406 logb 100E-1   ->  1
    129 ddlogb1407 logb 1000E-1  ->  2
    130 ddlogb1408 logb 10000E-1 ->  3
    131 ddlogb1409 logb 10E0     ->  1
    132 ddlogb1410 logb 100E0    ->  2
    133 ddlogb1411 logb 1000E0   ->  3
    134 ddlogb1412 logb 10000E0  ->  4
    135 ddlogb1413 logb 10E1     ->  2
    136 ddlogb1414 logb 100E1    ->  3
    137 ddlogb1415 logb 1000E1   ->  4
    138 ddlogb1416 logb 10000E1  ->  5
    139 ddlogb1417 logb 10E2     ->  3
    140 ddlogb1418 logb 100E2    ->  4
    141 ddlogb1419 logb 1000E2   ->  5
    142 ddlogb1420 logb 10000E2  ->  6
    143 
    144 -- special values
    145 ddlogb820  logb   Infinity ->   Infinity
    146 ddlogb821  logb   0        ->  -Infinity Division_by_zero
    147 ddlogb822  logb   NaN      ->   NaN
    148 ddlogb823  logb   sNaN     ->   NaN     Invalid_operation
    149 -- propagating NaNs
    150 ddlogb824  logb   sNaN123  ->   NaN123  Invalid_operation
    151 ddlogb825  logb   -sNaN321 ->  -NaN321  Invalid_operation
    152 ddlogb826  logb   NaN456   ->   NaN456
    153 ddlogb827  logb   -NaN654  ->  -NaN654
    154 ddlogb828  logb   NaN1     ->   NaN1
    155 
    156 -- Null test
    157 ddlogb900  logb #   -> NaN Invalid_operation
    158 
    159 
    160