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      1 ------------------------------------------------------------------------
      2 -- ddScalebB.decTest -- scale a decDouble by powers of 10             --
      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 -- Max |rhs| is 2*(384+16) = 800
     30 
     31 -- Sanity checks
     32 ddscb001 scaleb       7.50   10 -> 7.50E+10
     33 ddscb002 scaleb       7.50    3 -> 7.50E+3
     34 ddscb003 scaleb       7.50    2 -> 750
     35 ddscb004 scaleb       7.50    1 -> 75.0
     36 ddscb005 scaleb       7.50    0 -> 7.50
     37 ddscb006 scaleb       7.50   -1 -> 0.750
     38 ddscb007 scaleb       7.50   -2 -> 0.0750
     39 ddscb008 scaleb       7.50  -10 -> 7.50E-10
     40 ddscb009 scaleb      -7.50    3 -> -7.50E+3
     41 ddscb010 scaleb      -7.50    2 -> -750
     42 ddscb011 scaleb      -7.50    1 -> -75.0
     43 ddscb012 scaleb      -7.50    0 -> -7.50
     44 ddscb013 scaleb      -7.50   -1 -> -0.750
     45 
     46 -- Infinities
     47 ddscb014 scaleb  Infinity   1 -> Infinity
     48 ddscb015 scaleb  -Infinity  2 -> -Infinity
     49 ddscb016 scaleb  Infinity  -1 -> Infinity
     50 ddscb017 scaleb  -Infinity -2 -> -Infinity
     51 
     52 -- Next two are somewhat undefined in 754r; treat as non-integer
     53 ddscb018 scaleb  10  Infinity -> NaN Invalid_operation
     54 ddscb019 scaleb  10 -Infinity -> NaN Invalid_operation
     55 
     56 -- NaNs are undefined in 754r; assume usual processing
     57 -- NaNs, 0 payload
     58 ddscb021 scaleb         NaN  1 -> NaN
     59 ddscb022 scaleb        -NaN -1 -> -NaN
     60 ddscb023 scaleb        sNaN  1 -> NaN Invalid_operation
     61 ddscb024 scaleb       -sNaN  1 -> -NaN Invalid_operation
     62 ddscb025 scaleb    4    NaN    -> NaN
     63 ddscb026 scaleb -Inf   -NaN    -> -NaN
     64 ddscb027 scaleb    4   sNaN    -> NaN Invalid_operation
     65 ddscb028 scaleb  Inf  -sNaN    -> -NaN Invalid_operation
     66 
     67 -- non-integer RHS
     68 ddscb030 scaleb  1.23    1    ->  12.3
     69 ddscb031 scaleb  1.23    1.00 ->  NaN Invalid_operation
     70 ddscb032 scaleb  1.23    1.1  ->  NaN Invalid_operation
     71 ddscb033 scaleb  1.23    1.01 ->  NaN Invalid_operation
     72 ddscb034 scaleb  1.23    0.01 ->  NaN Invalid_operation
     73 ddscb035 scaleb  1.23    0.11 ->  NaN Invalid_operation
     74 ddscb036 scaleb  1.23    0.999999999 ->  NaN Invalid_operation
     75 ddscb037 scaleb  1.23   -1    ->  0.123
     76 ddscb038 scaleb  1.23   -1.00 ->  NaN Invalid_operation
     77 ddscb039 scaleb  1.23   -1.1  ->  NaN Invalid_operation
     78 ddscb040 scaleb  1.23   -1.01 ->  NaN Invalid_operation
     79 ddscb041 scaleb  1.23   -0.01 ->  NaN Invalid_operation
     80 ddscb042 scaleb  1.23   -0.11 ->  NaN Invalid_operation
     81 ddscb043 scaleb  1.23   -0.999999999 ->  NaN Invalid_operation
     82 ddscb044 scaleb  1.23    0.1         ->  NaN Invalid_operation
     83 ddscb045 scaleb  1.23    1E+1        ->  NaN Invalid_operation
     84 ddscb046 scaleb  1.23    1.1234E+6   ->  NaN Invalid_operation
     85 ddscb047 scaleb  1.23    1.123E+4    ->  NaN Invalid_operation
     86 
     87 -- out-of range RHS
     88 ddscb120 scaleb  1.23    799         ->  Infinity Overflow Inexact Rounded
     89 ddscb121 scaleb  1.23    800         ->  Infinity Overflow Inexact Rounded
     90 ddscb122 scaleb  1.23    801         ->  NaN Invalid_operation
     91 ddscb123 scaleb  1.23    802         ->  NaN Invalid_operation
     92 ddscb124 scaleb  1.23   -799         ->  0E-398 Underflow Subnormal Inexact Rounded Clamped
     93 ddscb125 scaleb  1.23   -800         ->  0E-398 Underflow Subnormal Inexact Rounded Clamped
     94 ddscb126 scaleb  1.23   -801         ->  NaN Invalid_operation
     95 ddscb127 scaleb  1.23   -802         ->  NaN Invalid_operation
     96 
     97 -- NaNs, non-0 payload
     98 -- propagating NaNs
     99 ddscb861 scaleb  NaN01   -Inf     ->  NaN1
    100 ddscb862 scaleb -NaN02   -1000    -> -NaN2
    101 ddscb863 scaleb  NaN03    1000    ->  NaN3
    102 ddscb864 scaleb  NaN04    Inf     ->  NaN4
    103 ddscb865 scaleb  NaN05    NaN61   ->  NaN5
    104 ddscb866 scaleb -Inf     -NaN71   -> -NaN71
    105 ddscb867 scaleb -1000     NaN81   ->  NaN81
    106 ddscb868 scaleb  1000     NaN91   ->  NaN91
    107 ddscb869 scaleb  Inf      NaN101  ->  NaN101
    108 ddscb871 scaleb  sNaN011  -Inf    ->  NaN11  Invalid_operation
    109 ddscb872 scaleb  sNaN012  -1000   ->  NaN12  Invalid_operation
    110 ddscb873 scaleb -sNaN013   1000   -> -NaN13  Invalid_operation
    111 ddscb874 scaleb  sNaN014   NaN171 ->  NaN14  Invalid_operation
    112 ddscb875 scaleb  sNaN015  sNaN181 ->  NaN15  Invalid_operation
    113 ddscb876 scaleb  NaN016   sNaN191 ->  NaN191 Invalid_operation
    114 ddscb877 scaleb -Inf      sNaN201 ->  NaN201 Invalid_operation
    115 ddscb878 scaleb -1000     sNaN211 ->  NaN211 Invalid_operation
    116 ddscb879 scaleb  1000    -sNaN221 -> -NaN221 Invalid_operation
    117 ddscb880 scaleb  Inf      sNaN231 ->  NaN231 Invalid_operation
    118 ddscb881 scaleb  NaN025   sNaN241 ->  NaN241 Invalid_operation
    119 
    120 -- finites
    121 ddscb051 scaleb          7   -2  -> 0.07
    122 ddscb052 scaleb         -7   -2  -> -0.07
    123 ddscb053 scaleb         75   -2  -> 0.75
    124 ddscb054 scaleb        -75   -2  -> -0.75
    125 ddscb055 scaleb       7.50   -2  -> 0.0750
    126 ddscb056 scaleb      -7.50   -2  -> -0.0750
    127 ddscb057 scaleb       7.500  -2  -> 0.07500
    128 ddscb058 scaleb      -7.500  -2  -> -0.07500
    129 ddscb061 scaleb          7   -1  -> 0.7
    130 ddscb062 scaleb         -7   -1  -> -0.7
    131 ddscb063 scaleb         75   -1  -> 7.5
    132 ddscb064 scaleb        -75   -1  -> -7.5
    133 ddscb065 scaleb       7.50   -1  -> 0.750
    134 ddscb066 scaleb      -7.50   -1  -> -0.750
    135 ddscb067 scaleb       7.500  -1  -> 0.7500
    136 ddscb068 scaleb      -7.500  -1  -> -0.7500
    137 ddscb071 scaleb          7    0  -> 7
    138 ddscb072 scaleb         -7    0  -> -7
    139 ddscb073 scaleb         75    0  -> 75
    140 ddscb074 scaleb        -75    0  -> -75
    141 ddscb075 scaleb       7.50    0  -> 7.50
    142 ddscb076 scaleb      -7.50    0  -> -7.50
    143 ddscb077 scaleb       7.500   0  -> 7.500
    144 ddscb078 scaleb      -7.500   0  -> -7.500
    145 ddscb081 scaleb          7    1  -> 7E+1
    146 ddscb082 scaleb         -7    1  -> -7E+1
    147 ddscb083 scaleb         75    1  -> 7.5E+2
    148 ddscb084 scaleb        -75    1  -> -7.5E+2
    149 ddscb085 scaleb       7.50    1  -> 75.0
    150 ddscb086 scaleb      -7.50    1  -> -75.0
    151 ddscb087 scaleb       7.500   1  -> 75.00
    152 ddscb088 scaleb      -7.500   1  -> -75.00
    153 ddscb091 scaleb          7    2  -> 7E+2
    154 ddscb092 scaleb         -7    2  -> -7E+2
    155 ddscb093 scaleb         75    2  -> 7.5E+3
    156 ddscb094 scaleb        -75    2  -> -7.5E+3
    157 ddscb095 scaleb       7.50    2  -> 750
    158 ddscb096 scaleb      -7.50    2  -> -750
    159 ddscb097 scaleb       7.500   2  -> 750.0
    160 ddscb098 scaleb      -7.500   2  -> -750.0
    161 
    162 -- zeros
    163 ddscb111 scaleb          0  1 -> 0E+1
    164 ddscb112 scaleb         -0  2 -> -0E+2
    165 ddscb113 scaleb       0E+4  3 -> 0E+7
    166 ddscb114 scaleb      -0E+4  4 -> -0E+8
    167 ddscb115 scaleb     0.0000  5 -> 0E+1
    168 ddscb116 scaleb    -0.0000  6 -> -0E+2
    169 ddscb117 scaleb      0E-141 7 -> 0E-134
    170 ddscb118 scaleb     -0E-141 8 -> -0E-133
    171 
    172 -- Nmax, Nmin, Ntiny
    173 ddscb132 scaleb  9.999999999999999E+384  +384 -> Infinity    Overflow Inexact Rounded
    174 ddscb133 scaleb  9.999999999999999E+384  +10 -> Infinity     Overflow Inexact Rounded
    175 ddscb134 scaleb  9.999999999999999E+384  +1  -> Infinity     Overflow Inexact Rounded
    176 ddscb135 scaleb  9.999999999999999E+384   0  -> 9.999999999999999E+384
    177 ddscb136 scaleb  9.999999999999999E+384  -1  -> 9.999999999999999E+383
    178 ddscb137 scaleb  1E-383           +1  -> 1E-382
    179 ddscb138 scaleb  1E-383           -0  -> 1E-383
    180 ddscb139 scaleb  1E-383           -1  -> 1E-384          Subnormal
    181 ddscb140 scaleb  1.000000000000000E-383  +1  -> 1.000000000000000E-382
    182 ddscb141 scaleb  1.000000000000000E-383   0  -> 1.000000000000000E-383
    183 ddscb142 scaleb  1.000000000000000E-383  -1  -> 1.00000000000000E-384 Subnormal Rounded
    184 ddscb143 scaleb  1E-398          +1  -> 1E-397          Subnormal
    185 ddscb144 scaleb  1E-398          -0  -> 1E-398         Subnormal
    186 ddscb145 scaleb  1E-398          -1  -> 0E-398         Underflow Subnormal Inexact Rounded Clamped
    187 
    188 ddscb150 scaleb  -1E-398         +1  -> -1E-397         Subnormal
    189 ddscb151 scaleb  -1E-398         -0  -> -1E-398        Subnormal
    190 ddscb152 scaleb  -1E-398         -1  -> -0E-398        Underflow Subnormal Inexact Rounded Clamped
    191 ddscb153 scaleb  -1.000000000000000E-383 +1  -> -1.000000000000000E-382
    192 ddscb154 scaleb  -1.000000000000000E-383 +0  -> -1.000000000000000E-383
    193 ddscb155 scaleb  -1.000000000000000E-383 -1  -> -1.00000000000000E-384 Subnormal Rounded
    194 ddscb156 scaleb  -1E-383          +1  -> -1E-382
    195 ddscb157 scaleb  -1E-383          -0  -> -1E-383
    196 ddscb158 scaleb  -1E-383          -1  -> -1E-384          Subnormal
    197 ddscb159 scaleb  -9.999999999999999E+384 +1  -> -Infinity        Overflow Inexact Rounded
    198 ddscb160 scaleb  -9.999999999999999E+384 +0  -> -9.999999999999999E+384
    199 ddscb161 scaleb  -9.999999999999999E+384 -1  -> -9.999999999999999E+383
    200 ddscb162 scaleb  -9E+384          +1  -> -Infinity        Overflow Inexact Rounded
    201 ddscb163 scaleb  -1E+384          +1  -> -Infinity        Overflow Inexact Rounded
    202 
    203 -- some Origami
    204 -- (these check that overflow is being done correctly)
    205 ddscb171 scaleb   1000E+365  +1 -> 1.000E+369
    206 ddscb172 scaleb   1000E+366  +1 -> 1.000E+370
    207 ddscb173 scaleb   1000E+367  +1 -> 1.000E+371
    208 ddscb174 scaleb   1000E+368  +1 -> 1.000E+372
    209 ddscb175 scaleb   1000E+369  +1 -> 1.0000E+373                  Clamped
    210 ddscb176 scaleb   1000E+370  +1 -> 1.00000E+374                 Clamped
    211 ddscb177 scaleb   1000E+371  +1 -> 1.000000E+375                Clamped
    212 ddscb178 scaleb   1000E+372  +1 -> 1.0000000E+376               Clamped
    213 ddscb179 scaleb   1000E+373  +1 -> 1.00000000E+377              Clamped
    214 ddscb180 scaleb   1000E+374  +1 -> 1.000000000E+378             Clamped
    215 ddscb181 scaleb   1000E+375  +1 -> 1.0000000000E+379            Clamped
    216 ddscb182 scaleb   1000E+376  +1 -> 1.00000000000E+380           Clamped
    217 ddscb183 scaleb   1000E+377  +1 -> 1.000000000000E+381          Clamped
    218 ddscb184 scaleb   1000E+378  +1 -> 1.0000000000000E+382         Clamped
    219 ddscb185 scaleb   1000E+379  +1 -> 1.00000000000000E+383        Clamped
    220 ddscb186 scaleb   1000E+380  +1 -> 1.000000000000000E+384       Clamped
    221 ddscb187 scaleb   1000E+381  +1 -> Infinity    Overflow Inexact Rounded
    222 
    223 -- and a few more subnormal truncations
    224 -- (these check that underflow is being done correctly)
    225 ddscb201 scaleb  1.000000000000000E-383   0  -> 1.000000000000000E-383
    226 ddscb202 scaleb  1.000000000000000E-383  -1  -> 1.00000000000000E-384 Subnormal Rounded
    227 ddscb203 scaleb  1.000000000000000E-383  -2  -> 1.0000000000000E-385 Subnormal Rounded
    228 ddscb204 scaleb  1.000000000000000E-383  -3  -> 1.000000000000E-386 Subnormal Rounded
    229 ddscb205 scaleb  1.000000000000000E-383  -4  -> 1.00000000000E-387 Subnormal Rounded
    230 ddscb206 scaleb  1.000000000000000E-383  -5  -> 1.0000000000E-388 Subnormal Rounded
    231 ddscb207 scaleb  1.000000000000000E-383  -6  -> 1.000000000E-389 Subnormal Rounded
    232 ddscb208 scaleb  1.000000000000000E-383  -7  -> 1.00000000E-390 Subnormal Rounded
    233 ddscb209 scaleb  1.000000000000000E-383  -8  -> 1.0000000E-391 Subnormal Rounded
    234 ddscb210 scaleb  1.000000000000000E-383  -9  -> 1.000000E-392 Subnormal Rounded
    235 ddscb211 scaleb  1.000000000000000E-383  -10 -> 1.00000E-393 Subnormal Rounded
    236 ddscb212 scaleb  1.000000000000000E-383  -11 -> 1.0000E-394 Subnormal Rounded
    237 ddscb213 scaleb  1.000000000000000E-383  -12 -> 1.000E-395 Subnormal Rounded
    238 ddscb214 scaleb  1.000000000000000E-383  -13 -> 1.00E-396 Subnormal Rounded
    239 ddscb215 scaleb  1.000000000000000E-383  -14 -> 1.0E-397 Subnormal Rounded
    240 ddscb216 scaleb  1.000000000000000E-383  -15 -> 1E-398 Subnormal Rounded
    241 ddscb217 scaleb  1.000000000000000E-383  -16 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
    242 ddscb218 scaleb  1.000000000000000E-383  -17 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
    243 
    244