Home | History | Annotate | Download | only in decimaltestdata
      1 ------------------------------------------------------------------------
      2 -- dqEncode.decTest -- decimal sixteen-byte format testcases          --
      3 -- Copyright (c) IBM Corporation, 2000, 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 -- [Previously called decimal128.decTest]
     21 version: 2.59
     22 
     23 -- This set of tests is for the sixteen-byte concrete representation.
     24 -- Its characteristics are:
     25 --
     26 --   1 bit  sign
     27 --   5 bits combination field
     28 --  12 bits exponent continuation
     29 -- 110 bits coefficient continuation
     30 --
     31 -- Total exponent length 14 bits
     32 -- Total coefficient length 114 bits (34 digits)
     33 --
     34 -- Elimit = 12287 (maximum encoded exponent)
     35 -- Emax   =  6144 (largest exponent value)
     36 -- Emin   = -6143 (smallest exponent value)
     37 -- bias   =  6176 (subtracted from encoded exponent) = -Etiny
     38 
     39 -- The testcases here have only exactly representable data on the
     40 -- 'left-hand-side'; rounding from strings is tested in 'base'
     41 -- testcase groups.
     42 
     43 extended:    1
     44 clamp:       1
     45 precision:   34
     46 rounding:    half_up
     47 maxExponent: 6144
     48 minExponent: -6143
     49 
     50 -- General testcases
     51 -- (mostly derived from the Strawman 4 document and examples)
     52 decq001 apply   #A20780000000000000000000000003D0 -> -7.50
     53 decq002 apply   -7.50             -> #A20780000000000000000000000003D0
     54 -- derivative canonical plain strings
     55 decq003 apply   #A20840000000000000000000000003D0 -> -7.50E+3
     56 decq004 apply   -7.50E+3          -> #A20840000000000000000000000003D0
     57 decq005 apply   #A20800000000000000000000000003D0 -> -750
     58 decq006 apply   -750              -> #A20800000000000000000000000003D0
     59 decq007 apply   #A207c0000000000000000000000003D0 -> -75.0
     60 decq008 apply   -75.0             -> #A207c0000000000000000000000003D0
     61 decq009 apply   #A20740000000000000000000000003D0 -> -0.750
     62 decq010 apply   -0.750            -> #A20740000000000000000000000003D0
     63 decq011 apply   #A20700000000000000000000000003D0 -> -0.0750
     64 decq012 apply   -0.0750           -> #A20700000000000000000000000003D0
     65 decq013 apply   #A20680000000000000000000000003D0 -> -0.000750
     66 decq014 apply   -0.000750         -> #A20680000000000000000000000003D0
     67 decq015 apply   #A20600000000000000000000000003D0 -> -0.00000750
     68 decq016 apply   -0.00000750       -> #A20600000000000000000000000003D0
     69 decq017 apply   #A205c0000000000000000000000003D0 -> -7.50E-7
     70 decq018 apply   -7.50E-7          -> #A205c0000000000000000000000003D0
     71 
     72 -- Normality
     73 decq020 apply   1234567890123456789012345678901234   -> #2608134b9c1e28e56f3c127177823534
     74 decq021 apply  -1234567890123456789012345678901234   -> #a608134b9c1e28e56f3c127177823534
     75 decq022 apply   1111111111111111111111111111111111   -> #26080912449124491244912449124491
     76 
     77 -- Nmax and similar
     78 decq031 apply   9.999999999999999999999999999999999E+6144  -> #77ffcff3fcff3fcff3fcff3fcff3fcff
     79 decq032 apply   #77ffcff3fcff3fcff3fcff3fcff3fcff -> 9.999999999999999999999999999999999E+6144
     80 decq033 apply   1.234567890123456789012345678901234E+6144 -> #47ffd34b9c1e28e56f3c127177823534
     81 decq034 apply   #47ffd34b9c1e28e56f3c127177823534 -> 1.234567890123456789012345678901234E+6144
     82 -- fold-downs (more below)
     83 decq035 apply   1.23E+6144    -> #47ffd300000000000000000000000000 Clamped
     84 decq036 apply   #47ffd300000000000000000000000000       -> 1.230000000000000000000000000000000E+6144
     85 decq037 apply   1E+6144       -> #47ffc000000000000000000000000000 Clamped
     86 decq038 apply   #47ffc000000000000000000000000000       -> 1.000000000000000000000000000000000E+6144
     87 
     88 decq051 apply   12345                   -> #220800000000000000000000000049c5
     89 decq052 apply   #220800000000000000000000000049c5       -> 12345
     90 decq053 apply   1234                    -> #22080000000000000000000000000534
     91 decq054 apply   #22080000000000000000000000000534       -> 1234
     92 decq055 apply   123                     -> #220800000000000000000000000000a3
     93 decq056 apply   #220800000000000000000000000000a3       -> 123
     94 decq057 apply   12                      -> #22080000000000000000000000000012
     95 decq058 apply   #22080000000000000000000000000012       -> 12
     96 decq059 apply   1                       -> #22080000000000000000000000000001
     97 decq060 apply   #22080000000000000000000000000001       -> 1
     98 decq061 apply   1.23                    -> #220780000000000000000000000000a3
     99 decq062 apply   #220780000000000000000000000000a3       -> 1.23
    100 decq063 apply   123.45                  -> #220780000000000000000000000049c5
    101 decq064 apply   #220780000000000000000000000049c5       -> 123.45
    102 
    103 -- Nmin and below
    104 decq071 apply   1E-6143                                    -> #00084000000000000000000000000001
    105 decq072 apply   #00084000000000000000000000000001          -> 1E-6143
    106 decq073 apply   1.000000000000000000000000000000000E-6143  -> #04000000000000000000000000000000
    107 decq074 apply   #04000000000000000000000000000000          -> 1.000000000000000000000000000000000E-6143
    108 decq075 apply   1.000000000000000000000000000000001E-6143  -> #04000000000000000000000000000001
    109 decq076 apply   #04000000000000000000000000000001          -> 1.000000000000000000000000000000001E-6143
    110 
    111 decq077 apply   0.100000000000000000000000000000000E-6143  -> #00000800000000000000000000000000      Subnormal
    112 decq078 apply   #00000800000000000000000000000000          -> 1.00000000000000000000000000000000E-6144  Subnormal
    113 decq079 apply   0.000000000000000000000000000000010E-6143  -> #00000000000000000000000000000010      Subnormal
    114 decq080 apply   #00000000000000000000000000000010          -> 1.0E-6175              Subnormal
    115 decq081 apply   0.00000000000000000000000000000001E-6143   -> #00004000000000000000000000000001      Subnormal
    116 decq082 apply   #00004000000000000000000000000001          -> 1E-6175                Subnormal
    117 decq083 apply   0.000000000000000000000000000000001E-6143  -> #00000000000000000000000000000001      Subnormal
    118 decq084 apply   #00000000000000000000000000000001          -> 1E-6176                 Subnormal
    119 
    120 -- underflows cannot be tested for simple copies, check edge cases
    121 decq090 apply   1e-6176                  -> #00000000000000000000000000000001  Subnormal
    122 decq100 apply   999999999999999999999999999999999e-6176 -> #00000ff3fcff3fcff3fcff3fcff3fcff  Subnormal
    123 
    124 -- same again, negatives
    125 -- Nmax and similar
    126 decq122 apply  -9.999999999999999999999999999999999E+6144  -> #f7ffcff3fcff3fcff3fcff3fcff3fcff
    127 decq123 apply   #f7ffcff3fcff3fcff3fcff3fcff3fcff -> -9.999999999999999999999999999999999E+6144
    128 decq124 apply  -1.234567890123456789012345678901234E+6144 -> #c7ffd34b9c1e28e56f3c127177823534
    129 decq125 apply   #c7ffd34b9c1e28e56f3c127177823534 -> -1.234567890123456789012345678901234E+6144
    130 -- fold-downs (more below)
    131 decq130 apply  -1.23E+6144    -> #c7ffd300000000000000000000000000 Clamped
    132 decq131 apply   #c7ffd300000000000000000000000000       -> -1.230000000000000000000000000000000E+6144
    133 decq132 apply  -1E+6144       -> #c7ffc000000000000000000000000000 Clamped
    134 decq133 apply   #c7ffc000000000000000000000000000       -> -1.000000000000000000000000000000000E+6144
    135 
    136 decq151 apply  -12345                   -> #a20800000000000000000000000049c5
    137 decq152 apply   #a20800000000000000000000000049c5       -> -12345
    138 decq153 apply  -1234                    -> #a2080000000000000000000000000534
    139 decq154 apply   #a2080000000000000000000000000534       -> -1234
    140 decq155 apply  -123                     -> #a20800000000000000000000000000a3
    141 decq156 apply   #a20800000000000000000000000000a3       -> -123
    142 decq157 apply  -12                      -> #a2080000000000000000000000000012
    143 decq158 apply   #a2080000000000000000000000000012       -> -12
    144 decq159 apply  -1                       -> #a2080000000000000000000000000001
    145 decq160 apply   #a2080000000000000000000000000001       -> -1
    146 decq161 apply  -1.23                    -> #a20780000000000000000000000000a3
    147 decq162 apply   #a20780000000000000000000000000a3       -> -1.23
    148 decq163 apply  -123.45                  -> #a20780000000000000000000000049c5
    149 decq164 apply   #a20780000000000000000000000049c5       -> -123.45
    150 
    151 -- Nmin and below
    152 decq171 apply  -1E-6143                                    -> #80084000000000000000000000000001
    153 decq172 apply   #80084000000000000000000000000001          -> -1E-6143
    154 decq173 apply  -1.000000000000000000000000000000000E-6143  -> #84000000000000000000000000000000
    155 decq174 apply   #84000000000000000000000000000000          -> -1.000000000000000000000000000000000E-6143
    156 decq175 apply  -1.000000000000000000000000000000001E-6143  -> #84000000000000000000000000000001
    157 decq176 apply   #84000000000000000000000000000001          -> -1.000000000000000000000000000000001E-6143
    158 
    159 decq177 apply  -0.100000000000000000000000000000000E-6143  -> #80000800000000000000000000000000      Subnormal
    160 decq178 apply   #80000800000000000000000000000000          -> -1.00000000000000000000000000000000E-6144  Subnormal
    161 decq179 apply  -0.000000000000000000000000000000010E-6143  -> #80000000000000000000000000000010      Subnormal
    162 decq180 apply   #80000000000000000000000000000010          -> -1.0E-6175              Subnormal
    163 decq181 apply  -0.00000000000000000000000000000001E-6143   -> #80004000000000000000000000000001      Subnormal
    164 decq182 apply   #80004000000000000000000000000001          -> -1E-6175                Subnormal
    165 decq183 apply  -0.000000000000000000000000000000001E-6143  -> #80000000000000000000000000000001      Subnormal
    166 decq184 apply   #80000000000000000000000000000001          -> -1E-6176                 Subnormal
    167 
    168 -- underflow edge cases
    169 decq190 apply   -1e-6176                  -> #80000000000000000000000000000001  Subnormal
    170 decq200 apply   -999999999999999999999999999999999e-6176 -> #80000ff3fcff3fcff3fcff3fcff3fcff  Subnormal
    171 
    172 -- zeros
    173 decq400 apply   0E-8000                 -> #00000000000000000000000000000000  Clamped
    174 decq401 apply   0E-6177                 -> #00000000000000000000000000000000  Clamped
    175 decq402 apply   0E-6176                 -> #00000000000000000000000000000000
    176 decq403 apply   #00000000000000000000000000000000       -> 0E-6176
    177 decq404 apply   0.000000000000000000000000000000000E-6143  -> #00000000000000000000000000000000
    178 decq405 apply   #00000000000000000000000000000000       -> 0E-6176
    179 decq406 apply   0E-2                    -> #22078000000000000000000000000000
    180 decq407 apply   #22078000000000000000000000000000       -> 0.00
    181 decq408 apply   0                       -> #22080000000000000000000000000000
    182 decq409 apply   #22080000000000000000000000000000       -> 0
    183 decq410 apply   0E+3                    -> #2208c000000000000000000000000000
    184 decq411 apply   #2208c000000000000000000000000000       -> 0E+3
    185 decq412 apply   0E+6111                 -> #43ffc000000000000000000000000000
    186 decq413 apply   #43ffc000000000000000000000000000       -> 0E+6111
    187 -- clamped zeros...
    188 decq414 apply   0E+6112                 -> #43ffc000000000000000000000000000  Clamped
    189 decq415 apply   #43ffc000000000000000000000000000       -> 0E+6111
    190 decq416 apply   0E+6144                 -> #43ffc000000000000000000000000000  Clamped
    191 decq417 apply   #43ffc000000000000000000000000000       -> 0E+6111
    192 decq418 apply   0E+8000                 -> #43ffc000000000000000000000000000  Clamped
    193 decq419 apply   #43ffc000000000000000000000000000       -> 0E+6111
    194 
    195 -- negative zeros
    196 decq420 apply  -0E-8000                 -> #80000000000000000000000000000000  Clamped
    197 decq421 apply  -0E-6177                 -> #80000000000000000000000000000000  Clamped
    198 decq422 apply  -0E-6176                 -> #80000000000000000000000000000000
    199 decq423 apply   #80000000000000000000000000000000       -> -0E-6176
    200 decq424 apply  -0.000000000000000000000000000000000E-6143  -> #80000000000000000000000000000000
    201 decq425 apply   #80000000000000000000000000000000       -> -0E-6176
    202 decq426 apply  -0E-2                    -> #a2078000000000000000000000000000
    203 decq427 apply   #a2078000000000000000000000000000       -> -0.00
    204 decq428 apply  -0                       -> #a2080000000000000000000000000000
    205 decq429 apply   #a2080000000000000000000000000000       -> -0
    206 decq430 apply  -0E+3                    -> #a208c000000000000000000000000000
    207 decq431 apply   #a208c000000000000000000000000000       -> -0E+3
    208 decq432 apply  -0E+6111                 -> #c3ffc000000000000000000000000000
    209 decq433 apply   #c3ffc000000000000000000000000000       -> -0E+6111
    210 -- clamped zeros...
    211 decq434 apply  -0E+6112                 -> #c3ffc000000000000000000000000000  Clamped
    212 decq435 apply   #c3ffc000000000000000000000000000       -> -0E+6111
    213 decq436 apply  -0E+6144                 -> #c3ffc000000000000000000000000000  Clamped
    214 decq437 apply   #c3ffc000000000000000000000000000       -> -0E+6111
    215 decq438 apply  -0E+8000                 -> #c3ffc000000000000000000000000000  Clamped
    216 decq439 apply   #c3ffc000000000000000000000000000       -> -0E+6111
    217 
    218 -- exponent lengths
    219 decq440 apply   #22080000000000000000000000000007       -> 7
    220 decq441 apply   7 -> #22080000000000000000000000000007
    221 decq442 apply   #220a4000000000000000000000000007       -> 7E+9
    222 decq443 apply   7E+9 -> #220a4000000000000000000000000007
    223 decq444 apply   #2220c000000000000000000000000007       -> 7E+99
    224 decq445 apply   7E+99 -> #2220c000000000000000000000000007
    225 decq446 apply   #2301c000000000000000000000000007       -> 7E+999
    226 decq447 apply   7E+999 -> #2301c000000000000000000000000007
    227 decq448 apply   #43e3c000000000000000000000000007       -> 7E+5999
    228 decq449 apply   7E+5999 -> #43e3c000000000000000000000000007
    229 
    230 -- Specials
    231 decq500 apply   Infinity                          -> #78000000000000000000000000000000
    232 decq501 apply   #78787878787878787878787878787878 -> #78000000000000000000000000000000
    233 decq502 apply   #78000000000000000000000000000000 -> Infinity
    234 decq503 apply   #79797979797979797979797979797979 -> #78000000000000000000000000000000
    235 decq504 apply   #79000000000000000000000000000000 -> Infinity
    236 decq505 apply   #7a7a7a7a7a7a7a7a7a7a7a7a7a7a7a7a -> #78000000000000000000000000000000
    237 decq506 apply   #7a000000000000000000000000000000 -> Infinity
    238 decq507 apply   #7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b -> #78000000000000000000000000000000
    239 decq508 apply   #7b000000000000000000000000000000 -> Infinity
    240 
    241 decq509 apply   NaN                               -> #7c000000000000000000000000000000
    242 decq510 apply   #7c7c7c7c7c7c7c7c7c7c7c7c7c7c7c7c -> #7c003c7c7c7c7c7c7c7c7c7c7c7c7c7c
    243 decq511 apply   #7c000000000000000000000000000000 -> NaN
    244 decq512 apply   #7d7d7d7d7d7d7d7d7d7d7d7d7d7d7d7d -> #7c003d7d7d7d7d7d7d7d7d7d7d7d7d7d
    245 decq513 apply   #7d000000000000000000000000000000 -> NaN
    246 decq514 apply   #7e7e7e7e7e7e7e7e7e7e7e7e7e7e7e7e -> #7e003e7e7c7e7e7e7e7c7e7e7e7e7c7e
    247 decq515 apply   #7e000000000000000000000000000000 -> sNaN
    248 decq516 apply   #7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f -> #7e003f7f7c7f7f7f7f7c7f7f7f7f7c7f
    249 decq517 apply   #7f000000000000000000000000000000 -> sNaN
    250 decq518 apply   #7fffffffffffffffffffffffffffffff -> sNaN999999999999999999999999999999999
    251 decq519 apply   #7fffffffffffffffffffffffffffffff -> #7e000ff3fcff3fcff3fcff3fcff3fcff
    252 
    253 decq520 apply   -Infinity                         -> #f8000000000000000000000000000000
    254 decq521 apply   #f8787878787878787878787878787878 -> #f8000000000000000000000000000000
    255 decq522 apply   #f8000000000000000000000000000000 -> -Infinity
    256 decq523 apply   #f9797979797979797979797979797979 -> #f8000000000000000000000000000000
    257 decq524 apply   #f9000000000000000000000000000000 -> -Infinity
    258 decq525 apply   #fa7a7a7a7a7a7a7a7a7a7a7a7a7a7a7a -> #f8000000000000000000000000000000
    259 decq526 apply   #fa000000000000000000000000000000 -> -Infinity
    260 decq527 apply   #fb7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b -> #f8000000000000000000000000000000
    261 decq528 apply   #fb000000000000000000000000000000 -> -Infinity
    262 
    263 decq529 apply   -NaN                              -> #fc000000000000000000000000000000
    264 decq530 apply   #fc7c7c7c7c7c7c7c7c7c7c7c7c7c7c7c -> #fc003c7c7c7c7c7c7c7c7c7c7c7c7c7c
    265 decq531 apply   #fc000000000000000000000000000000 -> -NaN
    266 decq532 apply   #fd7d7d7d7d7d7d7d7d7d7d7d7d7d7d7d -> #fc003d7d7d7d7d7d7d7d7d7d7d7d7d7d
    267 decq533 apply   #fd000000000000000000000000000000 -> -NaN
    268 decq534 apply   #fe7e7e7e7e7e7e7e7e7e7e7e7e7e7e7e -> #fe003e7e7c7e7e7e7e7c7e7e7e7e7c7e
    269 decq535 apply   #fe000000000000000000000000000000 -> -sNaN
    270 decq536 apply   #ff7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f -> #fe003f7f7c7f7f7f7f7c7f7f7f7f7c7f
    271 decq537 apply   #ff000000000000000000000000000000 -> -sNaN
    272 decq538 apply   #ffffffffffffffffffffffffffffffff -> -sNaN999999999999999999999999999999999
    273 decq539 apply   #ffffffffffffffffffffffffffffffff -> #fe000ff3fcff3fcff3fcff3fcff3fcff
    274 
    275 decq540 apply   NaN               -> #7c000000000000000000000000000000
    276 decq541 apply   NaN0              -> #7c000000000000000000000000000000
    277 decq542 apply   NaN1              -> #7c000000000000000000000000000001
    278 decq543 apply   NaN12             -> #7c000000000000000000000000000012
    279 decq544 apply   NaN79             -> #7c000000000000000000000000000079
    280 decq545 apply   NaN12345          -> #7c0000000000000000000000000049c5
    281 decq546 apply   NaN123456         -> #7c000000000000000000000000028e56
    282 decq547 apply   NaN799799         -> #7c0000000000000000000000000f7fdf
    283 decq548 apply   NaN799799799799799799799799799799799  -> #7c003dff7fdff7fdff7fdff7fdff7fdf
    284 decq549 apply   NaN999999999999999999999999999999999  -> #7c000ff3fcff3fcff3fcff3fcff3fcff
    285 decq550 apply     9999999999999999999999999999999999  -> #6e080ff3fcff3fcff3fcff3fcff3fcff
    286 
    287 -- fold-down full sequence
    288 decq601 apply   1E+6144                 -> #47ffc000000000000000000000000000 Clamped
    289 decq602 apply   #47ffc000000000000000000000000000       -> 1.000000000000000000000000000000000E+6144
    290 decq603 apply   1E+6143                 -> #43ffc800000000000000000000000000 Clamped
    291 decq604 apply   #43ffc800000000000000000000000000       -> 1.00000000000000000000000000000000E+6143
    292 decq605 apply   1E+6142                 -> #43ffc100000000000000000000000000 Clamped
    293 decq606 apply   #43ffc100000000000000000000000000       -> 1.0000000000000000000000000000000E+6142
    294 decq607 apply   1E+6141                 -> #43ffc010000000000000000000000000 Clamped
    295 decq608 apply   #43ffc010000000000000000000000000       -> 1.000000000000000000000000000000E+6141
    296 decq609 apply   1E+6140                 -> #43ffc002000000000000000000000000 Clamped
    297 decq610 apply   #43ffc002000000000000000000000000       -> 1.00000000000000000000000000000E+6140
    298 decq611 apply   1E+6139                 -> #43ffc000400000000000000000000000 Clamped
    299 decq612 apply   #43ffc000400000000000000000000000       -> 1.0000000000000000000000000000E+6139
    300 decq613 apply   1E+6138                 -> #43ffc000040000000000000000000000 Clamped
    301 decq614 apply   #43ffc000040000000000000000000000       -> 1.000000000000000000000000000E+6138
    302 decq615 apply   1E+6137                 -> #43ffc000008000000000000000000000 Clamped
    303 decq616 apply   #43ffc000008000000000000000000000       -> 1.00000000000000000000000000E+6137
    304 decq617 apply   1E+6136                 -> #43ffc000001000000000000000000000 Clamped
    305 decq618 apply   #43ffc000001000000000000000000000       -> 1.0000000000000000000000000E+6136
    306 decq619 apply   1E+6135                 -> #43ffc000000100000000000000000000 Clamped
    307 decq620 apply   #43ffc000000100000000000000000000       -> 1.000000000000000000000000E+6135
    308 decq621 apply   1E+6134                 -> #43ffc000000020000000000000000000 Clamped
    309 decq622 apply   #43ffc000000020000000000000000000       -> 1.00000000000000000000000E+6134
    310 decq623 apply   1E+6133                 -> #43ffc000000004000000000000000000 Clamped
    311 decq624 apply   #43ffc000000004000000000000000000       -> 1.0000000000000000000000E+6133
    312 decq625 apply   1E+6132                 -> #43ffc000000000400000000000000000 Clamped
    313 decq626 apply   #43ffc000000000400000000000000000       -> 1.000000000000000000000E+6132
    314 decq627 apply   1E+6131                 -> #43ffc000000000080000000000000000 Clamped
    315 decq628 apply   #43ffc000000000080000000000000000       -> 1.00000000000000000000E+6131
    316 decq629 apply   1E+6130                 -> #43ffc000000000010000000000000000 Clamped
    317 decq630 apply   #43ffc000000000010000000000000000       -> 1.0000000000000000000E+6130
    318 decq631 apply   1E+6129                 -> #43ffc000000000001000000000000000 Clamped
    319 decq632 apply   #43ffc000000000001000000000000000       -> 1.000000000000000000E+6129
    320 decq633 apply   1E+6128                 -> #43ffc000000000000200000000000000 Clamped
    321 decq634 apply   #43ffc000000000000200000000000000       -> 1.00000000000000000E+6128
    322 decq635 apply   1E+6127                 -> #43ffc000000000000040000000000000 Clamped
    323 decq636 apply   #43ffc000000000000040000000000000       -> 1.0000000000000000E+6127
    324 decq637 apply   1E+6126                 -> #43ffc000000000000004000000000000 Clamped
    325 decq638 apply   #43ffc000000000000004000000000000       -> 1.000000000000000E+6126
    326 decq639 apply   1E+6125                 -> #43ffc000000000000000800000000000 Clamped
    327 decq640 apply   #43ffc000000000000000800000000000       -> 1.00000000000000E+6125
    328 decq641 apply   1E+6124                 -> #43ffc000000000000000100000000000 Clamped
    329 decq642 apply   #43ffc000000000000000100000000000       -> 1.0000000000000E+6124
    330 decq643 apply   1E+6123                 -> #43ffc000000000000000010000000000 Clamped
    331 decq644 apply   #43ffc000000000000000010000000000       -> 1.000000000000E+6123
    332 decq645 apply   1E+6122                 -> #43ffc000000000000000002000000000 Clamped
    333 decq646 apply   #43ffc000000000000000002000000000       -> 1.00000000000E+6122
    334 decq647 apply   1E+6121                 -> #43ffc000000000000000000400000000 Clamped
    335 decq648 apply   #43ffc000000000000000000400000000       -> 1.0000000000E+6121
    336 decq649 apply   1E+6120                 -> #43ffc000000000000000000040000000 Clamped
    337 decq650 apply   #43ffc000000000000000000040000000       -> 1.000000000E+6120
    338 decq651 apply   1E+6119                 -> #43ffc000000000000000000008000000 Clamped
    339 decq652 apply   #43ffc000000000000000000008000000       -> 1.00000000E+6119
    340 decq653 apply   1E+6118                 -> #43ffc000000000000000000001000000 Clamped
    341 decq654 apply   #43ffc000000000000000000001000000       -> 1.0000000E+6118
    342 decq655 apply   1E+6117                 -> #43ffc000000000000000000000100000 Clamped
    343 decq656 apply   #43ffc000000000000000000000100000       -> 1.000000E+6117
    344 decq657 apply   1E+6116                 -> #43ffc000000000000000000000020000 Clamped
    345 decq658 apply   #43ffc000000000000000000000020000       -> 1.00000E+6116
    346 decq659 apply   1E+6115                 -> #43ffc000000000000000000000004000 Clamped
    347 decq660 apply   #43ffc000000000000000000000004000       -> 1.0000E+6115
    348 decq661 apply   1E+6114                 -> #43ffc000000000000000000000000400 Clamped
    349 decq662 apply   #43ffc000000000000000000000000400       -> 1.000E+6114
    350 decq663 apply   1E+6113                 -> #43ffc000000000000000000000000080 Clamped
    351 decq664 apply   #43ffc000000000000000000000000080       -> 1.00E+6113
    352 decq665 apply   1E+6112                 -> #43ffc000000000000000000000000010 Clamped
    353 decq666 apply   #43ffc000000000000000000000000010       -> 1.0E+6112
    354 decq667 apply   1E+6111                 -> #43ffc000000000000000000000000001
    355 decq668 apply   #43ffc000000000000000000000000001       -> 1E+6111
    356 decq669 apply   1E+6110                 -> #43ff8000000000000000000000000001
    357 decq670 apply   #43ff8000000000000000000000000001       -> 1E+6110
    358 
    359 -- Selected DPD codes
    360 decq700 apply   #22080000000000000000000000000000       -> 0
    361 decq701 apply   #22080000000000000000000000000009       -> 9
    362 decq702 apply   #22080000000000000000000000000010       -> 10
    363 decq703 apply   #22080000000000000000000000000019       -> 19
    364 decq704 apply   #22080000000000000000000000000020       -> 20
    365 decq705 apply   #22080000000000000000000000000029       -> 29
    366 decq706 apply   #22080000000000000000000000000030       -> 30
    367 decq707 apply   #22080000000000000000000000000039       -> 39
    368 decq708 apply   #22080000000000000000000000000040       -> 40
    369 decq709 apply   #22080000000000000000000000000049       -> 49
    370 decq710 apply   #22080000000000000000000000000050       -> 50
    371 decq711 apply   #22080000000000000000000000000059       -> 59
    372 decq712 apply   #22080000000000000000000000000060       -> 60
    373 decq713 apply   #22080000000000000000000000000069       -> 69
    374 decq714 apply   #22080000000000000000000000000070       -> 70
    375 decq715 apply   #22080000000000000000000000000071       -> 71
    376 decq716 apply   #22080000000000000000000000000072       -> 72
    377 decq717 apply   #22080000000000000000000000000073       -> 73
    378 decq718 apply   #22080000000000000000000000000074       -> 74
    379 decq719 apply   #22080000000000000000000000000075       -> 75
    380 decq720 apply   #22080000000000000000000000000076       -> 76
    381 decq721 apply   #22080000000000000000000000000077       -> 77
    382 decq722 apply   #22080000000000000000000000000078       -> 78
    383 decq723 apply   #22080000000000000000000000000079       -> 79
    384 
    385 decq730 apply   #2208000000000000000000000000029e       -> 994
    386 decq731 apply   #2208000000000000000000000000029f       -> 995
    387 decq732 apply   #220800000000000000000000000002a0       -> 520
    388 decq733 apply   #220800000000000000000000000002a1       -> 521
    389 
    390 -- DPD: one of each of the huffman groups
    391 decq740 apply   #220800000000000000000000000003f7       -> 777
    392 decq741 apply   #220800000000000000000000000003f8       -> 778
    393 decq742 apply   #220800000000000000000000000003eb       -> 787
    394 decq743 apply   #2208000000000000000000000000037d       -> 877
    395 decq744 apply   #2208000000000000000000000000039f       -> 997
    396 decq745 apply   #220800000000000000000000000003bf       -> 979
    397 decq746 apply   #220800000000000000000000000003df       -> 799
    398 decq747 apply   #2208000000000000000000000000006e       -> 888
    399 
    400 
    401 -- DPD all-highs cases (includes the 24 redundant codes)
    402 decq750 apply   #2208000000000000000000000000006e       -> 888
    403 decq751 apply   #2208000000000000000000000000016e       -> 888
    404 decq752 apply   #2208000000000000000000000000026e       -> 888
    405 decq753 apply   #2208000000000000000000000000036e       -> 888
    406 decq754 apply   #2208000000000000000000000000006f       -> 889
    407 decq755 apply   #2208000000000000000000000000016f       -> 889
    408 decq756 apply   #2208000000000000000000000000026f       -> 889
    409 decq757 apply   #2208000000000000000000000000036f       -> 889
    410 
    411 decq760 apply   #2208000000000000000000000000007e       -> 898
    412 decq761 apply   #2208000000000000000000000000017e       -> 898
    413 decq762 apply   #2208000000000000000000000000027e       -> 898
    414 decq763 apply   #2208000000000000000000000000037e       -> 898
    415 decq764 apply   #2208000000000000000000000000007f       -> 899
    416 decq765 apply   #2208000000000000000000000000017f       -> 899
    417 decq766 apply   #2208000000000000000000000000027f       -> 899
    418 decq767 apply   #2208000000000000000000000000037f       -> 899
    419 
    420 decq770 apply   #220800000000000000000000000000ee       -> 988
    421 decq771 apply   #220800000000000000000000000001ee       -> 988
    422 decq772 apply   #220800000000000000000000000002ee       -> 988
    423 decq773 apply   #220800000000000000000000000003ee       -> 988
    424 decq774 apply   #220800000000000000000000000000ef       -> 989
    425 decq775 apply   #220800000000000000000000000001ef       -> 989
    426 decq776 apply   #220800000000000000000000000002ef       -> 989
    427 decq777 apply   #220800000000000000000000000003ef       -> 989
    428 
    429 decq780 apply   #220800000000000000000000000000fe       -> 998
    430 decq781 apply   #220800000000000000000000000001fe       -> 998
    431 decq782 apply   #220800000000000000000000000002fe       -> 998
    432 decq783 apply   #220800000000000000000000000003fe       -> 998
    433 decq784 apply   #220800000000000000000000000000ff       -> 999
    434 decq785 apply   #220800000000000000000000000001ff       -> 999
    435 decq786 apply   #220800000000000000000000000002ff       -> 999
    436 decq787 apply   #220800000000000000000000000003ff       -> 999
    437 
    438 -- Miscellaneous (testers' queries, etc.)
    439 
    440 decq790 apply   #2208000000000000000000000000c000       -> 30000
    441 decq791 apply   #22080000000000000000000000007800       -> 890000
    442 decq792 apply   30000 -> #2208000000000000000000000000c000
    443 decq793 apply   890000 -> #22080000000000000000000000007800
    444 
    445 -- values around [u]int32 edges (zeros done earlier)
    446 decq800 apply -2147483646  -> #a208000000000000000000008c78af46
    447 decq801 apply -2147483647  -> #a208000000000000000000008c78af47
    448 decq802 apply -2147483648  -> #a208000000000000000000008c78af48
    449 decq803 apply -2147483649  -> #a208000000000000000000008c78af49
    450 decq804 apply  2147483646  -> #2208000000000000000000008c78af46
    451 decq805 apply  2147483647  -> #2208000000000000000000008c78af47
    452 decq806 apply  2147483648  -> #2208000000000000000000008c78af48
    453 decq807 apply  2147483649  -> #2208000000000000000000008c78af49
    454 decq808 apply  4294967294  -> #22080000000000000000000115afb55a
    455 decq809 apply  4294967295  -> #22080000000000000000000115afb55b
    456 decq810 apply  4294967296  -> #22080000000000000000000115afb57a
    457 decq811 apply  4294967297  -> #22080000000000000000000115afb57b
    458 
    459 decq820 apply  #a208000000000000000000008c78af46 -> -2147483646
    460 decq821 apply  #a208000000000000000000008c78af47 -> -2147483647
    461 decq822 apply  #a208000000000000000000008c78af48 -> -2147483648
    462 decq823 apply  #a208000000000000000000008c78af49 -> -2147483649
    463 decq824 apply  #2208000000000000000000008c78af46 ->  2147483646
    464 decq825 apply  #2208000000000000000000008c78af47 ->  2147483647
    465 decq826 apply  #2208000000000000000000008c78af48 ->  2147483648
    466 decq827 apply  #2208000000000000000000008c78af49 ->  2147483649
    467 decq828 apply  #22080000000000000000000115afb55a ->  4294967294
    468 decq829 apply  #22080000000000000000000115afb55b ->  4294967295
    469 decq830 apply  #22080000000000000000000115afb57a ->  4294967296
    470 decq831 apply  #22080000000000000000000115afb57b ->  4294967297
    471 
    472 -- VG testcase
    473 decq840 apply    #2080000000000000F294000000172636 -> 8.81125000000001349436E-1548
    474 decq841 apply    #20800000000000008000000000000000 -> 8.000000000000000000E-1550
    475 decq842 apply    #1EF98490000000010F6E4E0000000000 -> 7.049000000000010795488000000000000E-3097
    476 decq843 multiply #20800000000000008000000000000000 #2080000000000000F294000000172636 -> #1EF98490000000010F6E4E0000000000 Rounded
    477 
    478