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------------------------------------------------------------------------
-- 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 --
-- [email protected] --
------------------------------------------------------------------------
version: 2.59
-- 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