------------------------------------------------------------------------
-- max.decTest -- decimal maximum                                     --
-- 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: 2.59

-- we assume that base comparison is tested in compare.decTest, so
-- these mainly cover special cases and rounding

extended:    1
precision:   9
rounding:    half_up
maxExponent: 384
minexponent: -383

-- sanity checks
maxx001 max  -2  -2  -> -2
maxx002 max  -2  -1  -> -1
maxx003 max  -2   0  ->  0
maxx004 max  -2   1  ->  1
maxx005 max  -2   2  ->  2
maxx006 max  -1  -2  -> -1
maxx007 max  -1  -1  -> -1
maxx008 max  -1   0  ->  0
maxx009 max  -1   1  ->  1
maxx010 max  -1   2  ->  2
maxx011 max   0  -2  ->  0
maxx012 max   0  -1  ->  0
maxx013 max   0   0  ->  0
maxx014 max   0   1  ->  1
maxx015 max   0   2  ->  2
maxx016 max   1  -2  ->  1
maxx017 max   1  -1  ->  1
maxx018 max   1   0  ->  1
maxx019 max   1   1  ->  1
maxx020 max   1   2  ->  2
maxx021 max   2  -2  ->  2
maxx022 max   2  -1  ->  2
maxx023 max   2   0  ->  2
maxx025 max   2   1  ->  2
maxx026 max   2   2  ->  2

-- extended zeros
maxx030 max   0     0   ->  0
maxx031 max   0    -0   ->  0
maxx032 max   0    -0.0 ->  0
maxx033 max   0     0.0 ->  0
maxx034 max  -0     0   ->  0    -- note: -0 = 0, but 0 chosen
maxx035 max  -0    -0   -> -0
maxx036 max  -0    -0.0 -> -0.0
maxx037 max  -0     0.0 ->  0.0
maxx038 max   0.0   0   ->  0
maxx039 max   0.0  -0   ->  0.0
maxx040 max   0.0  -0.0 ->  0.0
maxx041 max   0.0   0.0 ->  0.0
maxx042 max  -0.0   0   ->  0
maxx043 max  -0.0  -0   -> -0.0
maxx044 max  -0.0  -0.0 -> -0.0
maxx045 max  -0.0   0.0 ->  0.0

maxx050 max  -0E1   0E1 ->  0E+1
maxx051 max  -0E2   0E2 ->  0E+2
maxx052 max  -0E2   0E1 ->  0E+1
maxx053 max  -0E1   0E2 ->  0E+2
maxx054 max   0E1  -0E1 ->  0E+1
maxx055 max   0E2  -0E2 ->  0E+2
maxx056 max   0E2  -0E1 ->  0E+2
maxx057 max   0E1  -0E2 ->  0E+1

maxx058 max   0E1   0E1 ->  0E+1
maxx059 max   0E2   0E2 ->  0E+2
maxx060 max   0E2   0E1 ->  0E+2
maxx061 max   0E1   0E2 ->  0E+2
maxx062 max  -0E1  -0E1 -> -0E+1
maxx063 max  -0E2  -0E2 -> -0E+2
maxx064 max  -0E2  -0E1 -> -0E+1
maxx065 max  -0E1  -0E2 -> -0E+1

-- Specials
precision: 9
maxx090 max  Inf  -Inf   ->  Infinity
maxx091 max  Inf  -1000  ->  Infinity
maxx092 max  Inf  -1     ->  Infinity
maxx093 max  Inf  -0     ->  Infinity
maxx094 max  Inf   0     ->  Infinity
maxx095 max  Inf   1     ->  Infinity
maxx096 max  Inf   1000  ->  Infinity
maxx097 max  Inf   Inf   ->  Infinity
maxx098 max -1000  Inf   ->  Infinity
maxx099 max -Inf   Inf   ->  Infinity
maxx100 max -1     Inf   ->  Infinity
maxx101 max -0     Inf   ->  Infinity
maxx102 max  0     Inf   ->  Infinity
maxx103 max  1     Inf   ->  Infinity
maxx104 max  1000  Inf   ->  Infinity
maxx105 max  Inf   Inf   ->  Infinity

maxx120 max -Inf  -Inf   -> -Infinity
maxx121 max -Inf  -1000  -> -1000
maxx122 max -Inf  -1     -> -1
maxx123 max -Inf  -0     -> -0
maxx124 max -Inf   0     ->  0
maxx125 max -Inf   1     ->  1
maxx126 max -Inf   1000  ->  1000
maxx127 max -Inf   Inf   ->  Infinity
maxx128 max -Inf  -Inf   ->  -Infinity
maxx129 max -1000 -Inf   ->  -1000
maxx130 max -1    -Inf   ->  -1
maxx131 max -0    -Inf   ->  -0
maxx132 max  0    -Inf   ->  0
maxx133 max  1    -Inf   ->  1
maxx134 max  1000 -Inf   ->  1000
maxx135 max  Inf  -Inf   ->  Infinity

-- 2004.08.02 754r chooses number over NaN in mixed cases
maxx141 max  NaN -Inf    -> -Infinity
maxx142 max  NaN -1000   -> -1000
maxx143 max  NaN -1      -> -1
maxx144 max  NaN -0      -> -0
maxx145 max  NaN  0      ->  0
maxx146 max  NaN  1      ->  1
maxx147 max  NaN  1000   ->  1000
maxx148 max  NaN  Inf    ->  Infinity
maxx149 max  NaN  NaN    ->  NaN
maxx150 max -Inf  NaN    -> -Infinity
maxx151 max -1000 NaN    -> -1000
maxx152 max -1    NaN    -> -1
maxx153 max -0    NaN    -> -0
maxx154 max  0    NaN    ->  0
maxx155 max  1    NaN    ->  1
maxx156 max  1000 NaN    ->  1000
maxx157 max  Inf  NaN    ->  Infinity

maxx161 max  sNaN -Inf   ->  NaN  Invalid_operation
maxx162 max  sNaN -1000  ->  NaN  Invalid_operation
maxx163 max  sNaN -1     ->  NaN  Invalid_operation
maxx164 max  sNaN -0     ->  NaN  Invalid_operation
maxx165 max  sNaN  0     ->  NaN  Invalid_operation
maxx166 max  sNaN  1     ->  NaN  Invalid_operation
maxx167 max  sNaN  1000  ->  NaN  Invalid_operation
maxx168 max  sNaN  NaN   ->  NaN  Invalid_operation
maxx169 max  sNaN sNaN   ->  NaN  Invalid_operation
maxx170 max  NaN  sNaN   ->  NaN  Invalid_operation
maxx171 max -Inf  sNaN   ->  NaN  Invalid_operation
maxx172 max -1000 sNaN   ->  NaN  Invalid_operation
maxx173 max -1    sNaN   ->  NaN  Invalid_operation
maxx174 max -0    sNaN   ->  NaN  Invalid_operation
maxx175 max  0    sNaN   ->  NaN  Invalid_operation
maxx176 max  1    sNaN   ->  NaN  Invalid_operation
maxx177 max  1000 sNaN   ->  NaN  Invalid_operation
maxx178 max  Inf  sNaN   ->  NaN  Invalid_operation
maxx179 max  NaN  sNaN   ->  NaN  Invalid_operation

-- propagating NaNs
maxx181 max  NaN9  -Inf   -> -Infinity
maxx182 max  NaN8     9   ->  9
maxx183 max -NaN7   Inf   ->  Infinity

maxx184 max -NaN1   NaN11 -> -NaN1
maxx185 max  NaN2   NaN12 ->  NaN2
maxx186 max -NaN13 -NaN7  -> -NaN13
maxx187 max  NaN14 -NaN5  ->  NaN14

maxx188 max -Inf    NaN4  -> -Infinity
maxx189 max -9     -NaN3  -> -9
maxx190 max  Inf    NaN2  ->  Infinity

maxx191 max  sNaN99 -Inf    ->  NaN99 Invalid_operation
maxx192 max  sNaN98 -1      ->  NaN98 Invalid_operation
maxx193 max -sNaN97  NaN    -> -NaN97 Invalid_operation
maxx194 max  sNaN96 sNaN94  ->  NaN96 Invalid_operation
maxx195 max  NaN95  sNaN93  ->  NaN93 Invalid_operation
maxx196 max -Inf    sNaN92  ->  NaN92 Invalid_operation
maxx197 max  0      sNaN91  ->  NaN91 Invalid_operation
maxx198 max  Inf   -sNaN90  -> -NaN90 Invalid_operation
maxx199 max  NaN    sNaN89  ->  NaN89 Invalid_operation

-- rounding checks
maxexponent: 999
minexponent: -999
precision: 9
maxx201 max 12345678000 1  -> 1.23456780E+10 Rounded
maxx202 max 1 12345678000  -> 1.23456780E+10 Rounded
maxx203 max 1234567800  1  -> 1.23456780E+9 Rounded
maxx204 max 1 1234567800   -> 1.23456780E+9 Rounded
maxx205 max 1234567890  1  -> 1.23456789E+9 Rounded
maxx206 max 1 1234567890   -> 1.23456789E+9 Rounded
maxx207 max 1234567891  1  -> 1.23456789E+9 Inexact Rounded
maxx208 max 1 1234567891   -> 1.23456789E+9 Inexact Rounded
maxx209 max 12345678901 1  -> 1.23456789E+10 Inexact Rounded
maxx210 max 1 12345678901  -> 1.23456789E+10 Inexact Rounded
maxx211 max 1234567896  1  -> 1.23456790E+9 Inexact Rounded
maxx212 max 1 1234567896   -> 1.23456790E+9 Inexact Rounded
maxx213 max -1234567891  1 -> 1
maxx214 max 1 -1234567891  -> 1
maxx215 max -12345678901 1 -> 1
maxx216 max 1 -12345678901 -> 1
maxx217 max -1234567896  1 -> 1
maxx218 max 1 -1234567896  -> 1

precision: 15
maxx221 max 12345678000 1  -> 12345678000
maxx222 max 1 12345678000  -> 12345678000
maxx223 max 1234567800  1  -> 1234567800
maxx224 max 1 1234567800   -> 1234567800
maxx225 max 1234567890  1  -> 1234567890
maxx226 max 1 1234567890   -> 1234567890
maxx227 max 1234567891  1  -> 1234567891
maxx228 max 1 1234567891   -> 1234567891
maxx229 max 12345678901 1  -> 12345678901
maxx230 max 1 12345678901  -> 12345678901
maxx231 max 1234567896  1  -> 1234567896
maxx232 max 1 1234567896   -> 1234567896
maxx233 max -1234567891  1 -> 1
maxx234 max 1 -1234567891  -> 1
maxx235 max -12345678901 1 -> 1
maxx236 max 1 -12345678901 -> 1
maxx237 max -1234567896  1 -> 1
maxx238 max 1 -1234567896  -> 1

-- from examples
maxx280 max '3'   '2'  ->  '3'
maxx281 max '-10' '3'  ->  '3'
maxx282 max '1.0' '1'  ->  '1'
maxx283 max '1' '1.0'  ->  '1'
maxx284 max '7' 'NaN'  ->  '7'

-- overflow and underflow tests ...
maxExponent: 999999999
minexponent: -999999999
maxx330 max +1.23456789012345E-0 9E+999999999 ->  9E+999999999
maxx331 max 9E+999999999 +1.23456789012345E-0 ->  9E+999999999
maxx332 max +0.100 9E-999999999               ->  0.100
maxx333 max 9E-999999999 +0.100               ->  0.100
maxx335 max -1.23456789012345E-0 9E+999999999 ->  9E+999999999
maxx336 max 9E+999999999 -1.23456789012345E-0 ->  9E+999999999
maxx337 max -0.100 9E-999999999               ->  9E-999999999
maxx338 max 9E-999999999 -0.100               ->  9E-999999999

maxx339 max 1e-599999999 1e-400000001   ->  1E-400000001
maxx340 max 1e-599999999 1e-400000000   ->  1E-400000000
maxx341 max 1e-600000000 1e-400000000   ->  1E-400000000
maxx342 max 9e-999999998 0.01           ->  0.01
maxx343 max 9e-999999998 0.1            ->  0.1
maxx344 max 0.01 9e-999999998           ->  0.01
maxx345 max 1e599999999 1e400000001     ->  1E+599999999
maxx346 max 1e599999999 1e400000000     ->  1E+599999999
maxx347 max 1e600000000 1e400000000     ->  1E+600000000
maxx348 max 9e999999998 100             ->  9E+999999998
maxx349 max 9e999999998 10              ->  9E+999999998
maxx350 max 100  9e999999998            ->  9E+999999998
-- signs
maxx351 max  1e+777777777  1e+411111111 ->  1E+777777777
maxx352 max  1e+777777777 -1e+411111111 ->  1E+777777777
maxx353 max -1e+777777777  1e+411111111 ->  1E+411111111
maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111
maxx355 max  1e-777777777  1e-411111111 ->  1E-411111111
maxx356 max  1e-777777777 -1e-411111111 ->  1E-777777777
maxx357 max -1e-777777777  1e-411111111 ->  1E-411111111
maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777

-- expanded list from min/max 754r purple prose
-- [explicit tests for exponent ordering]
maxx401 max  Inf    1.1     ->  Infinity
maxx402 max  1.1    1       ->  1.1
maxx403 max  1      1.0     ->  1
maxx404 max  1.0    0.1     ->  1.0
maxx405 max  0.1    0.10    ->  0.1
maxx406 max  0.10   0.100   ->  0.10
maxx407 max  0.10   0       ->  0.10
maxx408 max  0      0.0     ->  0
maxx409 max  0.0   -0       ->  0.0
maxx410 max  0.0   -0.0     ->  0.0
maxx411 max  0.00  -0.0     ->  0.00
maxx412 max  0.0   -0.00    ->  0.0
maxx413 max  0     -0.0     ->  0
maxx414 max  0     -0       ->  0
maxx415 max -0.0   -0       -> -0.0
maxx416 max -0     -0.100   -> -0
maxx417 max -0.100 -0.10    -> -0.100
maxx418 max -0.10  -0.1     -> -0.10
maxx419 max -0.1   -1.0     -> -0.1
maxx420 max -1.0   -1       -> -1.0
maxx421 max -1     -1.1     -> -1
maxx423 max -1.1   -Inf     -> -1.1
-- same with operands reversed
maxx431 max  1.1    Inf     ->  Infinity
maxx432 max  1      1.1     ->  1.1
maxx433 max  1.0    1       ->  1
maxx434 max  0.1    1.0     ->  1.0
maxx435 max  0.10   0.1     ->  0.1
maxx436 max  0.100  0.10    ->  0.10
maxx437 max  0      0.10    ->  0.10
maxx438 max  0.0    0       ->  0
maxx439 max -0      0.0     ->  0.0
maxx440 max -0.0    0.0     ->  0.0
maxx441 max -0.0    0.00    ->  0.00
maxx442 max -0.00   0.0     ->  0.0
maxx443 max -0.0    0       ->  0
maxx444 max -0      0       ->  0
maxx445 max -0     -0.0     -> -0.0
maxx446 max -0.100 -0       -> -0
maxx447 max -0.10  -0.100   -> -0.100
maxx448 max -0.1   -0.10    -> -0.10
maxx449 max -1.0   -0.1     -> -0.1
maxx450 max -1     -1.0     -> -1.0
maxx451 max -1.1   -1       -> -1
maxx453 max -Inf   -1.1     -> -1.1
-- largies
maxx460 max  1000   1E+3    ->  1E+3
maxx461 max  1E+3   1000    ->  1E+3
maxx462 max  1000  -1E+3    ->  1000
maxx463 max  1E+3  -1000    ->  1E+3
maxx464 max -1000   1E+3    ->  1E+3
maxx465 max -1E+3   1000    ->  1000
maxx466 max -1000  -1E+3    -> -1000
maxx467 max -1E+3  -1000    -> -1000

-- rounding (results treated as though plus)
maxexponent: 999999999
minexponent: -999999999
precision: 3

maxx470 max  1      .5     ->  1
maxx471 max  10     5      ->  10
maxx472 max  100    50     ->  100
maxx473 max  1000   500    ->  1.00E+3 Rounded
maxx474 max  10000  5000   ->  1.00E+4 Rounded
maxx475 max  6      .5     ->  6
maxx476 max  66     5      ->  66
maxx477 max  666    50     ->  666
maxx478 max  6666   500    ->  6.67E+3 Rounded Inexact
maxx479 max  66666  5000   ->  6.67E+4 Rounded Inexact
maxx480 max  33333  5000   ->  3.33E+4 Rounded Inexact
maxx481 max  .5     1      ->  1
maxx482 max  .5     10     ->  10
maxx483 max  .5     100    ->  100
maxx484 max  .5     1000   ->  1.00E+3 Rounded
maxx485 max  .5     10000  ->  1.00E+4 Rounded
maxx486 max  .5     6      ->  6
maxx487 max  .5     66     ->  66
maxx488 max  .5     666    ->  666
maxx489 max  .5     6666   ->  6.67E+3 Rounded Inexact
maxx490 max  .5     66666  ->  6.67E+4 Rounded Inexact
maxx491 max  .5     33333  ->  3.33E+4 Rounded Inexact

-- overflow tests
maxexponent: 999999999
minexponent: -999999999
precision: 3
maxx500 max 9.999E+999999999  0 ->  Infinity Inexact Overflow Rounded
maxx501 max -9.999E+999999999 0 ->  0

-- subnormals and underflow
precision: 3
maxexponent: 999
minexponent: -999
maxx510 max  1.00E-999       0  ->   1.00E-999
maxx511 max  0.1E-999        0  ->   1E-1000   Subnormal
maxx512 max  0.10E-999       0  ->   1.0E-1000 Subnormal
maxx513 max  0.100E-999      0  ->   1.0E-1000 Subnormal Rounded
maxx514 max  0.01E-999       0  ->   1E-1001   Subnormal
-- next is rounded to Nmin
maxx515 max  0.999E-999      0  ->   1.00E-999 Inexact Rounded Subnormal Underflow
maxx516 max  0.099E-999      0  ->   1.0E-1000 Inexact Rounded Subnormal Underflow
maxx517 max  0.009E-999      0  ->   1E-1001   Inexact Rounded Subnormal Underflow
maxx518 max  0.001E-999      0  ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
maxx519 max  0.0009E-999     0  ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
maxx520 max  0.0001E-999     0  ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped

maxx530 max -1.00E-999       0  ->   0
maxx531 max -0.1E-999        0  ->   0
maxx532 max -0.10E-999       0  ->   0
maxx533 max -0.100E-999      0  ->   0
maxx534 max -0.01E-999       0  ->   0
maxx535 max -0.999E-999      0  ->   0
maxx536 max -0.099E-999      0  ->   0
maxx537 max -0.009E-999      0  ->   0
maxx538 max -0.001E-999      0  ->   0
maxx539 max -0.0009E-999     0  ->   0
maxx540 max -0.0001E-999     0  ->   0

-- misalignment traps for little-endian
precision: 9
maxx551 max      1.0       0.1  -> 1.0
maxx552 max      0.1       1.0  -> 1.0
maxx553 max     10.0       0.1  -> 10.0
maxx554 max      0.1      10.0  -> 10.0
maxx555 max      100       1.0  -> 100
maxx556 max      1.0       100  -> 100
maxx557 max     1000      10.0  -> 1000
maxx558 max     10.0      1000  -> 1000
maxx559 max    10000     100.0  -> 10000
maxx560 max    100.0     10000  -> 10000
maxx661 max   100000    1000.0  -> 100000
maxx662 max   1000.0    100000  -> 100000
maxx663 max  1000000   10000.0  -> 1000000
maxx664 max  10000.0   1000000  -> 1000000

-- payload decapitate
precision: 5
maxx670 max      11 -sNaN12345678901 -> -NaN78901  Invalid_operation

-- Null tests
maxx900 max 10  #  -> NaN Invalid_operation
maxx901 max  # 10  -> NaN Invalid_operation