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------------------------------------------------------------------------
-- 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 --
-- [email protected] --
------------------------------------------------------------------------
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