------------------------------------------------------------------------

-- ddMax.decTest -- decDouble maxnum                                  --

-- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --

------------------------------------------------------------------------

-- Please see the document "General Decimal Arithmetic Testcases"     --

-- at http://www2.hursley.ibm.com/decimal for the description of      --

-- these testcases.                                                   --

--                                                                    --

-- These testcases are experimental ('beta' versions), and they       --

-- may contain errors.  They are offered on an as-is basis.  In       --

-- particular, achieving the same results as the tests here is not    --

-- a guarantee that an implementation complies with any Standard      --

-- or specification.  The tests are not exhaustive.                   --

--                                                                    --

-- Please send comments, suggestions, and corrections to the author:  --

--   Mike Cowlishaw, IBM Fellow                                       --

--   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --

--   mfc@uk.ibm.com                                                   --

------------------------------------------------------------------------

version: 2.58

-- we assume that base comparison is tested in compare.decTest, so

-- these mainly cover special cases and rounding

precision:   16

maxExponent: 384

minExponent: -383

extended:    1

clamp:       1

rounding:    half_even

-- sanity checks

ddmax001 max  -2  -2  -> -2

ddmax002 max  -2  -1  -> -1

ddmax003 max  -2   0  ->  0

ddmax004 max  -2   1  ->  1

ddmax005 max  -2   2  ->  2

ddmax006 max  -1  -2  -> -1

ddmax007 max  -1  -1  -> -1

ddmax008 max  -1   0  ->  0

ddmax009 max  -1   1  ->  1

ddmax010 max  -1   2  ->  2

ddmax011 max   0  -2  ->  0

ddmax012 max   0  -1  ->  0

ddmax013 max   0   0  ->  0

ddmax014 max   0   1  ->  1

ddmax015 max   0   2  ->  2

ddmax016 max   1  -2  ->  1

ddmax017 max   1  -1  ->  1

ddmax018 max   1   0  ->  1

ddmax019 max   1   1  ->  1

ddmax020 max   1   2  ->  2

ddmax021 max   2  -2  ->  2

ddmax022 max   2  -1  ->  2

ddmax023 max   2   0  ->  2

ddmax025 max   2   1  ->  2

ddmax026 max   2   2  ->  2

-- extended zeros

ddmax030 max   0     0   ->  0

ddmax031 max   0    -0   ->  0

ddmax032 max   0    -0.0 ->  0

ddmax033 max   0     0.0 ->  0

ddmax034 max  -0     0   ->  0    -- note: -0 = 0, but 0 chosen

ddmax035 max  -0    -0   -> -0

ddmax036 max  -0    -0.0 -> -0.0

ddmax037 max  -0     0.0 ->  0.0

ddmax038 max   0.0   0   ->  0

ddmax039 max   0.0  -0   ->  0.0

ddmax040 max   0.0  -0.0 ->  0.0

ddmax041 max   0.0   0.0 ->  0.0

ddmax042 max  -0.0   0   ->  0

ddmax043 max  -0.0  -0   -> -0.0

ddmax044 max  -0.0  -0.0 -> -0.0

ddmax045 max  -0.0   0.0 ->  0.0

ddmax050 max  -0E1   0E1 ->  0E+1

ddmax051 max  -0E2   0E2 ->  0E+2

ddmax052 max  -0E2   0E1 ->  0E+1

ddmax053 max  -0E1   0E2 ->  0E+2

ddmax054 max   0E1  -0E1 ->  0E+1

ddmax055 max   0E2  -0E2 ->  0E+2

ddmax056 max   0E2  -0E1 ->  0E+2

ddmax057 max   0E1  -0E2 ->  0E+1

ddmax058 max   0E1   0E1 ->  0E+1

ddmax059 max   0E2   0E2 ->  0E+2

ddmax060 max   0E2   0E1 ->  0E+2

ddmax061 max   0E1   0E2 ->  0E+2

ddmax062 max  -0E1  -0E1 -> -0E+1

ddmax063 max  -0E2  -0E2 -> -0E+2

ddmax064 max  -0E2  -0E1 -> -0E+1

ddmax065 max  -0E1  -0E2 -> -0E+1

-- Specials

ddmax090 max  Inf  -Inf   ->  Infinity

ddmax091 max  Inf  -1000  ->  Infinity

ddmax092 max  Inf  -1     ->  Infinity

ddmax093 max  Inf  -0     ->  Infinity

ddmax094 max  Inf   0     ->  Infinity

ddmax095 max  Inf   1     ->  Infinity

ddmax096 max  Inf   1000  ->  Infinity

ddmax097 max  Inf   Inf   ->  Infinity

ddmax098 max -1000  Inf   ->  Infinity

ddmax099 max -Inf   Inf   ->  Infinity

ddmax100 max -1     Inf   ->  Infinity

ddmax101 max -0     Inf   ->  Infinity

ddmax102 max  0     Inf   ->  Infinity

ddmax103 max  1     Inf   ->  Infinity

ddmax104 max  1000  Inf   ->  Infinity

ddmax105 max  Inf   Inf   ->  Infinity

ddmax120 max -Inf  -Inf   -> -Infinity

ddmax121 max -Inf  -1000  -> -1000

ddmax122 max -Inf  -1     -> -1

ddmax123 max -Inf  -0     -> -0

ddmax124 max -Inf   0     ->  0

ddmax125 max -Inf   1     ->  1

ddmax126 max -Inf   1000  ->  1000

ddmax127 max -Inf   Inf   ->  Infinity

ddmax128 max -Inf  -Inf   ->  -Infinity

ddmax129 max -1000 -Inf   ->  -1000

ddmax130 max -1    -Inf   ->  -1

ddmax131 max -0    -Inf   ->  -0

ddmax132 max  0    -Inf   ->  0

ddmax133 max  1    -Inf   ->  1

ddmax134 max  1000 -Inf   ->  1000

ddmax135 max  Inf  -Inf   ->  Infinity

-- 2004.08.02 754r chooses number over NaN in mixed cases

ddmax141 max  NaN -Inf    -> -Infinity

ddmax142 max  NaN -1000   -> -1000

ddmax143 max  NaN -1      -> -1

ddmax144 max  NaN -0      -> -0

ddmax145 max  NaN  0      ->  0

ddmax146 max  NaN  1      ->  1

ddmax147 max  NaN  1000   ->  1000

ddmax148 max  NaN  Inf    ->  Infinity

ddmax149 max  NaN  NaN    ->  NaN

ddmax150 max -Inf  NaN    -> -Infinity

ddmax151 max -1000 NaN    -> -1000

ddmax152 max -1    NaN    -> -1

ddmax153 max -0    NaN    -> -0

ddmax154 max  0    NaN    ->  0

ddmax155 max  1    NaN    ->  1

ddmax156 max  1000 NaN    ->  1000

ddmax157 max  Inf  NaN    ->  Infinity

ddmax161 max  sNaN -Inf   ->  NaN  Invalid_operation

ddmax162 max  sNaN -1000  ->  NaN  Invalid_operation

ddmax163 max  sNaN -1     ->  NaN  Invalid_operation

ddmax164 max  sNaN -0     ->  NaN  Invalid_operation

ddmax165 max  sNaN  0     ->  NaN  Invalid_operation

ddmax166 max  sNaN  1     ->  NaN  Invalid_operation

ddmax167 max  sNaN  1000  ->  NaN  Invalid_operation

ddmax168 max  sNaN  NaN   ->  NaN  Invalid_operation

ddmax169 max  sNaN sNaN   ->  NaN  Invalid_operation

ddmax170 max  NaN  sNaN   ->  NaN  Invalid_operation

ddmax171 max -Inf  sNaN   ->  NaN  Invalid_operation

ddmax172 max -1000 sNaN   ->  NaN  Invalid_operation

ddmax173 max -1    sNaN   ->  NaN  Invalid_operation

ddmax174 max -0    sNaN   ->  NaN  Invalid_operation

ddmax175 max  0    sNaN   ->  NaN  Invalid_operation

ddmax176 max  1    sNaN   ->  NaN  Invalid_operation

ddmax177 max  1000 sNaN   ->  NaN  Invalid_operation

ddmax178 max  Inf  sNaN   ->  NaN  Invalid_operation

ddmax179 max  NaN  sNaN   ->  NaN  Invalid_operation

-- propagating NaNs

ddmax181 max  NaN9  -Inf   -> -Infinity

ddmax182 max  NaN8     9   ->  9

ddmax183 max -NaN7   Inf   ->  Infinity

ddmax184 max -NaN1   NaN11 -> -NaN1

ddmax185 max  NaN2   NaN12 ->  NaN2

ddmax186 max -NaN13 -NaN7  -> -NaN13

ddmax187 max  NaN14 -NaN5  ->  NaN14

ddmax188 max -Inf    NaN4  -> -Infinity

ddmax189 max -9     -NaN3  -> -9

ddmax190 max  Inf    NaN2  ->  Infinity

ddmax191 max  sNaN99 -Inf    ->  NaN99 Invalid_operation

ddmax192 max  sNaN98 -1      ->  NaN98 Invalid_operation

ddmax193 max -sNaN97  NaN    -> -NaN97 Invalid_operation

ddmax194 max  sNaN96 sNaN94  ->  NaN96 Invalid_operation

ddmax195 max  NaN95  sNaN93  ->  NaN93 Invalid_operation

ddmax196 max -Inf    sNaN92  ->  NaN92 Invalid_operation

ddmax197 max  0      sNaN91  ->  NaN91 Invalid_operation

ddmax198 max  Inf   -sNaN90  -> -NaN90 Invalid_operation

ddmax199 max  NaN    sNaN89  ->  NaN89 Invalid_operation

-- old rounding checks

ddmax221 max 12345678000 1  -> 12345678000

ddmax222 max 1 12345678000  -> 12345678000

ddmax223 max 1234567800  1  -> 1234567800

ddmax224 max 1 1234567800   -> 1234567800

ddmax225 max 1234567890  1  -> 1234567890

ddmax226 max 1 1234567890   -> 1234567890

ddmax227 max 1234567891  1  -> 1234567891

ddmax228 max 1 1234567891   -> 1234567891

ddmax229 max 12345678901 1  -> 12345678901

ddmax230 max 1 12345678901  -> 12345678901

ddmax231 max 1234567896  1  -> 1234567896

ddmax232 max 1 1234567896   -> 1234567896

ddmax233 max -1234567891  1 -> 1

ddmax234 max 1 -1234567891  -> 1

ddmax235 max -12345678901 1 -> 1

ddmax236 max 1 -12345678901 -> 1

ddmax237 max -1234567896  1 -> 1

ddmax238 max 1 -1234567896  -> 1

-- from examples

ddmax280 max '3'   '2'  ->  '3'

ddmax281 max '-10' '3'  ->  '3'

ddmax282 max '1.0' '1'  ->  '1'

ddmax283 max '1' '1.0'  ->  '1'

ddmax284 max '7' 'NaN'  ->  '7'

-- expanded list from min/max 754r purple prose

-- [explicit tests for exponent ordering]

ddmax401 max  Inf    1.1     ->  Infinity

ddmax402 max  1.1    1       ->  1.1

ddmax403 max  1      1.0     ->  1

ddmax404 max  1.0    0.1     ->  1.0

ddmax405 max  0.1    0.10    ->  0.1

ddmax406 max  0.10   0.100   ->  0.10

ddmax407 max  0.10   0       ->  0.10

ddmax408 max  0      0.0     ->  0

ddmax409 max  0.0   -0       ->  0.0

ddmax410 max  0.0   -0.0     ->  0.0

ddmax411 max  0.00  -0.0     ->  0.00

ddmax412 max  0.0   -0.00    ->  0.0

ddmax413 max  0     -0.0     ->  0

ddmax414 max  0     -0       ->  0

ddmax415 max -0.0   -0       -> -0.0

ddmax416 max -0     -0.100   -> -0

ddmax417 max -0.100 -0.10    -> -0.100

ddmax418 max -0.10  -0.1     -> -0.10

ddmax419 max -0.1   -1.0     -> -0.1

ddmax420 max -1.0   -1       -> -1.0

ddmax421 max -1     -1.1     -> -1

ddmax423 max -1.1   -Inf     -> -1.1

-- same with operands reversed

ddmax431 max  1.1    Inf     ->  Infinity

ddmax432 max  1      1.1     ->  1.1

ddmax433 max  1.0    1       ->  1

ddmax434 max  0.1    1.0     ->  1.0

ddmax435 max  0.10   0.1     ->  0.1

ddmax436 max  0.100  0.10    ->  0.10

ddmax437 max  0      0.10    ->  0.10

ddmax438 max  0.0    0       ->  0

ddmax439 max -0      0.0     ->  0.0

ddmax440 max -0.0    0.0     ->  0.0

ddmax441 max -0.0    0.00    ->  0.00

ddmax442 max -0.00   0.0     ->  0.0

ddmax443 max -0.0    0       ->  0

ddmax444 max -0      0       ->  0

ddmax445 max -0     -0.0     -> -0.0

ddmax446 max -0.100 -0       -> -0

ddmax447 max -0.10  -0.100   -> -0.100

ddmax448 max -0.1   -0.10    -> -0.10

ddmax449 max -1.0   -0.1     -> -0.1

ddmax450 max -1     -1.0     -> -1.0

ddmax451 max -1.1   -1       -> -1

ddmax453 max -Inf   -1.1     -> -1.1

-- largies

ddmax460 max  1000   1E+3    ->  1E+3

ddmax461 max  1E+3   1000    ->  1E+3

ddmax462 max  1000  -1E+3    ->  1000

ddmax463 max  1E+3  -1000    ->  1E+3

ddmax464 max -1000   1E+3    ->  1E+3

ddmax465 max -1E+3   1000    ->  1000

ddmax466 max -1000  -1E+3    -> -1000

ddmax467 max -1E+3  -1000    -> -1000

-- misalignment traps for little-endian

ddmax471 max      1.0       0.1  -> 1.0

ddmax472 max      0.1       1.0  -> 1.0

ddmax473 max     10.0       0.1  -> 10.0

ddmax474 max      0.1      10.0  -> 10.0

ddmax475 max      100       1.0  -> 100

ddmax476 max      1.0       100  -> 100

ddmax477 max     1000      10.0  -> 1000

ddmax478 max     10.0      1000  -> 1000

ddmax479 max    10000     100.0  -> 10000

ddmax480 max    100.0     10000  -> 10000

ddmax481 max   100000    1000.0  -> 100000

ddmax482 max   1000.0    100000  -> 100000

ddmax483 max  1000000   10000.0  -> 1000000

ddmax484 max  10000.0   1000000  -> 1000000

-- subnormals

ddmax510 max  1.00E-383       0  ->   1.00E-383

ddmax511 max  0.1E-383        0  ->   1E-384    Subnormal

ddmax512 max  0.10E-383       0  ->   1.0E-384  Subnormal

ddmax513 max  0.100E-383      0  ->   1.00E-384 Subnormal

ddmax514 max  0.01E-383       0  ->   1E-385    Subnormal

ddmax515 max  0.999E-383      0  ->   9.99E-384 Subnormal

ddmax516 max  0.099E-383      0  ->   9.9E-385  Subnormal

ddmax517 max  0.009E-383      0  ->   9E-386    Subnormal

ddmax518 max  0.001E-383      0  ->   1E-386    Subnormal

ddmax519 max  0.0009E-383     0  ->   9E-387    Subnormal

ddmax520 max  0.0001E-383     0  ->   1E-387    Subnormal

ddmax530 max -1.00E-383       0  ->   0

ddmax531 max -0.1E-383        0  ->   0

ddmax532 max -0.10E-383       0  ->   0

ddmax533 max -0.100E-383      0  ->   0

ddmax534 max -0.01E-383       0  ->   0

ddmax535 max -0.999E-383      0  ->   0

ddmax536 max -0.099E-383      0  ->   0

ddmax537 max -0.009E-383      0  ->   0

ddmax538 max -0.001E-383      0  ->   0

ddmax539 max -0.0009E-383     0  ->   0

ddmax540 max -0.0001E-383     0  ->   0

-- Null tests

ddmax900 max 10  #  -> NaN Invalid_operation

ddmax901 max  # 10  -> NaN Invalid_operation