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

-- 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: 2.58

-- 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