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------------------------------------------------------------------------
-- ddMaxMag.decTest -- decDouble maxnummag --
-- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57
-- 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
ddmxg001 maxmag -2 -2 -> -2
ddmxg002 maxmag -2 -1 -> -2
ddmxg003 maxmag -2 0 -> -2
ddmxg004 maxmag -2 1 -> -2
ddmxg005 maxmag -2 2 -> 2
ddmxg006 maxmag -1 -2 -> -2
ddmxg007 maxmag -1 -1 -> -1
ddmxg008 maxmag -1 0 -> -1
ddmxg009 maxmag -1 1 -> 1
ddmxg010 maxmag -1 2 -> 2
ddmxg011 maxmag 0 -2 -> -2
ddmxg012 maxmag 0 -1 -> -1
ddmxg013 maxmag 0 0 -> 0
ddmxg014 maxmag 0 1 -> 1
ddmxg015 maxmag 0 2 -> 2
ddmxg016 maxmag 1 -2 -> -2
ddmxg017 maxmag 1 -1 -> 1
ddmxg018 maxmag 1 0 -> 1
ddmxg019 maxmag 1 1 -> 1
ddmxg020 maxmag 1 2 -> 2
ddmxg021 maxmag 2 -2 -> 2
ddmxg022 maxmag 2 -1 -> 2
ddmxg023 maxmag 2 0 -> 2
ddmxg025 maxmag 2 1 -> 2
ddmxg026 maxmag 2 2 -> 2
-- extended zeros
ddmxg030 maxmag 0 0 -> 0
ddmxg031 maxmag 0 -0 -> 0
ddmxg032 maxmag 0 -0.0 -> 0
ddmxg033 maxmag 0 0.0 -> 0
ddmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
ddmxg035 maxmag -0 -0 -> -0
ddmxg036 maxmag -0 -0.0 -> -0.0
ddmxg037 maxmag -0 0.0 -> 0.0
ddmxg038 maxmag 0.0 0 -> 0
ddmxg039 maxmag 0.0 -0 -> 0.0
ddmxg040 maxmag 0.0 -0.0 -> 0.0
ddmxg041 maxmag 0.0 0.0 -> 0.0
ddmxg042 maxmag -0.0 0 -> 0
ddmxg043 maxmag -0.0 -0 -> -0.0
ddmxg044 maxmag -0.0 -0.0 -> -0.0
ddmxg045 maxmag -0.0 0.0 -> 0.0
ddmxg050 maxmag -0E1 0E1 -> 0E+1
ddmxg051 maxmag -0E2 0E2 -> 0E+2
ddmxg052 maxmag -0E2 0E1 -> 0E+1
ddmxg053 maxmag -0E1 0E2 -> 0E+2
ddmxg054 maxmag 0E1 -0E1 -> 0E+1
ddmxg055 maxmag 0E2 -0E2 -> 0E+2
ddmxg056 maxmag 0E2 -0E1 -> 0E+2
ddmxg057 maxmag 0E1 -0E2 -> 0E+1
ddmxg058 maxmag 0E1 0E1 -> 0E+1
ddmxg059 maxmag 0E2 0E2 -> 0E+2
ddmxg060 maxmag 0E2 0E1 -> 0E+2
ddmxg061 maxmag 0E1 0E2 -> 0E+2
ddmxg062 maxmag -0E1 -0E1 -> -0E+1
ddmxg063 maxmag -0E2 -0E2 -> -0E+2
ddmxg064 maxmag -0E2 -0E1 -> -0E+1
ddmxg065 maxmag -0E1 -0E2 -> -0E+1
-- Specials
ddmxg090 maxmag Inf -Inf -> Infinity
ddmxg091 maxmag Inf -1000 -> Infinity
ddmxg092 maxmag Inf -1 -> Infinity
ddmxg093 maxmag Inf -0 -> Infinity
ddmxg094 maxmag Inf 0 -> Infinity
ddmxg095 maxmag Inf 1 -> Infinity
ddmxg096 maxmag Inf 1000 -> Infinity
ddmxg097 maxmag Inf Inf -> Infinity
ddmxg098 maxmag -1000 Inf -> Infinity
ddmxg099 maxmag -Inf Inf -> Infinity
ddmxg100 maxmag -1 Inf -> Infinity
ddmxg101 maxmag -0 Inf -> Infinity
ddmxg102 maxmag 0 Inf -> Infinity
ddmxg103 maxmag 1 Inf -> Infinity
ddmxg104 maxmag 1000 Inf -> Infinity
ddmxg105 maxmag Inf Inf -> Infinity
ddmxg120 maxmag -Inf -Inf -> -Infinity
ddmxg121 maxmag -Inf -1000 -> -Infinity
ddmxg122 maxmag -Inf -1 -> -Infinity
ddmxg123 maxmag -Inf -0 -> -Infinity
ddmxg124 maxmag -Inf 0 -> -Infinity
ddmxg125 maxmag -Inf 1 -> -Infinity
ddmxg126 maxmag -Inf 1000 -> -Infinity
ddmxg127 maxmag -Inf Inf -> Infinity
ddmxg128 maxmag -Inf -Inf -> -Infinity
ddmxg129 maxmag -1000 -Inf -> -Infinity
ddmxg130 maxmag -1 -Inf -> -Infinity
ddmxg131 maxmag -0 -Inf -> -Infinity
ddmxg132 maxmag 0 -Inf -> -Infinity
ddmxg133 maxmag 1 -Inf -> -Infinity
ddmxg134 maxmag 1000 -Inf -> -Infinity
ddmxg135 maxmag Inf -Inf -> Infinity
-- 2004.08.02 754r chooses number over NaN in mixed cases
ddmxg141 maxmag NaN -Inf -> -Infinity
ddmxg142 maxmag NaN -1000 -> -1000
ddmxg143 maxmag NaN -1 -> -1
ddmxg144 maxmag NaN -0 -> -0
ddmxg145 maxmag NaN 0 -> 0
ddmxg146 maxmag NaN 1 -> 1
ddmxg147 maxmag NaN 1000 -> 1000
ddmxg148 maxmag NaN Inf -> Infinity
ddmxg149 maxmag NaN NaN -> NaN
ddmxg150 maxmag -Inf NaN -> -Infinity
ddmxg151 maxmag -1000 NaN -> -1000
ddmxg152 maxmag -1 NaN -> -1
ddmxg153 maxmag -0 NaN -> -0
ddmxg154 maxmag 0 NaN -> 0
ddmxg155 maxmag 1 NaN -> 1
ddmxg156 maxmag 1000 NaN -> 1000
ddmxg157 maxmag Inf NaN -> Infinity
ddmxg161 maxmag sNaN -Inf -> NaN Invalid_operation
ddmxg162 maxmag sNaN -1000 -> NaN Invalid_operation
ddmxg163 maxmag sNaN -1 -> NaN Invalid_operation
ddmxg164 maxmag sNaN -0 -> NaN Invalid_operation
ddmxg165 maxmag sNaN 0 -> NaN Invalid_operation
ddmxg166 maxmag sNaN 1 -> NaN Invalid_operation
ddmxg167 maxmag sNaN 1000 -> NaN Invalid_operation
ddmxg168 maxmag sNaN NaN -> NaN Invalid_operation
ddmxg169 maxmag sNaN sNaN -> NaN Invalid_operation
ddmxg170 maxmag NaN sNaN -> NaN Invalid_operation
ddmxg171 maxmag -Inf sNaN -> NaN Invalid_operation
ddmxg172 maxmag -1000 sNaN -> NaN Invalid_operation
ddmxg173 maxmag -1 sNaN -> NaN Invalid_operation
ddmxg174 maxmag -0 sNaN -> NaN Invalid_operation
ddmxg175 maxmag 0 sNaN -> NaN Invalid_operation
ddmxg176 maxmag 1 sNaN -> NaN Invalid_operation
ddmxg177 maxmag 1000 sNaN -> NaN Invalid_operation
ddmxg178 maxmag Inf sNaN -> NaN Invalid_operation
ddmxg179 maxmag NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
ddmxg181 maxmag NaN9 -Inf -> -Infinity
ddmxg182 maxmag NaN8 9 -> 9
ddmxg183 maxmag -NaN7 Inf -> Infinity
ddmxg184 maxmag -NaN1 NaN11 -> -NaN1
ddmxg185 maxmag NaN2 NaN12 -> NaN2
ddmxg186 maxmag -NaN13 -NaN7 -> -NaN13
ddmxg187 maxmag NaN14 -NaN5 -> NaN14
ddmxg188 maxmag -Inf NaN4 -> -Infinity
ddmxg189 maxmag -9 -NaN3 -> -9
ddmxg190 maxmag Inf NaN2 -> Infinity
ddmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
ddmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
ddmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
ddmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
ddmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
ddmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
ddmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
ddmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
ddmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation
-- old rounding checks
ddmxg221 maxmag 12345678000 1 -> 12345678000
ddmxg222 maxmag 1 12345678000 -> 12345678000
ddmxg223 maxmag 1234567800 1 -> 1234567800
ddmxg224 maxmag 1 1234567800 -> 1234567800
ddmxg225 maxmag 1234567890 1 -> 1234567890
ddmxg226 maxmag 1 1234567890 -> 1234567890
ddmxg227 maxmag 1234567891 1 -> 1234567891
ddmxg228 maxmag 1 1234567891 -> 1234567891
ddmxg229 maxmag 12345678901 1 -> 12345678901
ddmxg230 maxmag 1 12345678901 -> 12345678901
ddmxg231 maxmag 1234567896 1 -> 1234567896
ddmxg232 maxmag 1 1234567896 -> 1234567896
ddmxg233 maxmag -1234567891 1 -> -1234567891
ddmxg234 maxmag 1 -1234567891 -> -1234567891
ddmxg235 maxmag -12345678901 1 -> -12345678901
ddmxg236 maxmag 1 -12345678901 -> -12345678901
ddmxg237 maxmag -1234567896 1 -> -1234567896
ddmxg238 maxmag 1 -1234567896 -> -1234567896
-- from examples
ddmxg280 maxmag '3' '2' -> '3'
ddmxg281 maxmag '-10' '3' -> '-10'
ddmxg282 maxmag '1.0' '1' -> '1'
ddmxg283 maxmag '1' '1.0' -> '1'
ddmxg284 maxmag '7' 'NaN' -> '7'
-- expanded list from min/max 754r purple prose
-- [explicit tests for exponent ordering]
ddmxg401 maxmag Inf 1.1 -> Infinity
ddmxg402 maxmag 1.1 1 -> 1.1
ddmxg403 maxmag 1 1.0 -> 1
ddmxg404 maxmag 1.0 0.1 -> 1.0
ddmxg405 maxmag 0.1 0.10 -> 0.1
ddmxg406 maxmag 0.10 0.100 -> 0.10
ddmxg407 maxmag 0.10 0 -> 0.10
ddmxg408 maxmag 0 0.0 -> 0
ddmxg409 maxmag 0.0 -0 -> 0.0
ddmxg410 maxmag 0.0 -0.0 -> 0.0
ddmxg411 maxmag 0.00 -0.0 -> 0.00
ddmxg412 maxmag 0.0 -0.00 -> 0.0
ddmxg413 maxmag 0 -0.0 -> 0
ddmxg414 maxmag 0 -0 -> 0
ddmxg415 maxmag -0.0 -0 -> -0.0
ddmxg416 maxmag -0 -0.100 -> -0.100
ddmxg417 maxmag -0.100 -0.10 -> -0.100
ddmxg418 maxmag -0.10 -0.1 -> -0.10
ddmxg419 maxmag -0.1 -1.0 -> -1.0
ddmxg420 maxmag -1.0 -1 -> -1.0
ddmxg421 maxmag -1 -1.1 -> -1.1
ddmxg423 maxmag -1.1 -Inf -> -Infinity
-- same with operands reversed
ddmxg431 maxmag 1.1 Inf -> Infinity
ddmxg432 maxmag 1 1.1 -> 1.1
ddmxg433 maxmag 1.0 1 -> 1
ddmxg434 maxmag 0.1 1.0 -> 1.0
ddmxg435 maxmag 0.10 0.1 -> 0.1
ddmxg436 maxmag 0.100 0.10 -> 0.10
ddmxg437 maxmag 0 0.10 -> 0.10
ddmxg438 maxmag 0.0 0 -> 0
ddmxg439 maxmag -0 0.0 -> 0.0
ddmxg440 maxmag -0.0 0.0 -> 0.0
ddmxg441 maxmag -0.0 0.00 -> 0.00
ddmxg442 maxmag -0.00 0.0 -> 0.0
ddmxg443 maxmag -0.0 0 -> 0
ddmxg444 maxmag -0 0 -> 0
ddmxg445 maxmag -0 -0.0 -> -0.0
ddmxg446 maxmag -0.100 -0 -> -0.100
ddmxg447 maxmag -0.10 -0.100 -> -0.100
ddmxg448 maxmag -0.1 -0.10 -> -0.10
ddmxg449 maxmag -1.0 -0.1 -> -1.0
ddmxg450 maxmag -1 -1.0 -> -1.0
ddmxg451 maxmag -1.1 -1 -> -1.1
ddmxg453 maxmag -Inf -1.1 -> -Infinity
-- largies
ddmxg460 maxmag 1000 1E+3 -> 1E+3
ddmxg461 maxmag 1E+3 1000 -> 1E+3
ddmxg462 maxmag 1000 -1E+3 -> 1000
ddmxg463 maxmag 1E+3 -1000 -> 1E+3
ddmxg464 maxmag -1000 1E+3 -> 1E+3
ddmxg465 maxmag -1E+3 1000 -> 1000
ddmxg466 maxmag -1000 -1E+3 -> -1000
ddmxg467 maxmag -1E+3 -1000 -> -1000
-- subnormals
ddmxg510 maxmag 1.00E-383 0 -> 1.00E-383
ddmxg511 maxmag 0.1E-383 0 -> 1E-384 Subnormal
ddmxg512 maxmag 0.10E-383 0 -> 1.0E-384 Subnormal
ddmxg513 maxmag 0.100E-383 0 -> 1.00E-384 Subnormal
ddmxg514 maxmag 0.01E-383 0 -> 1E-385 Subnormal
ddmxg515 maxmag 0.999E-383 0 -> 9.99E-384 Subnormal
ddmxg516 maxmag 0.099E-383 0 -> 9.9E-385 Subnormal
ddmxg517 maxmag 0.009E-383 0 -> 9E-386 Subnormal
ddmxg518 maxmag 0.001E-383 0 -> 1E-386 Subnormal
ddmxg519 maxmag 0.0009E-383 0 -> 9E-387 Subnormal
ddmxg520 maxmag 0.0001E-383 0 -> 1E-387 Subnormal
ddmxg530 maxmag -1.00E-383 0 -> -1.00E-383
ddmxg531 maxmag -0.1E-383 0 -> -1E-384 Subnormal
ddmxg532 maxmag -0.10E-383 0 -> -1.0E-384 Subnormal
ddmxg533 maxmag -0.100E-383 0 -> -1.00E-384 Subnormal
ddmxg534 maxmag -0.01E-383 0 -> -1E-385 Subnormal
ddmxg535 maxmag -0.999E-383 0 -> -9.99E-384 Subnormal
ddmxg536 maxmag -0.099E-383 0 -> -9.9E-385 Subnormal
ddmxg537 maxmag -0.009E-383 0 -> -9E-386 Subnormal
ddmxg538 maxmag -0.001E-383 0 -> -1E-386 Subnormal
ddmxg539 maxmag -0.0009E-383 0 -> -9E-387 Subnormal
ddmxg540 maxmag -0.0001E-383 0 -> -1E-387 Subnormal
-- Null tests
ddmxg900 maxmag 10 # -> NaN Invalid_operation
ddmxg901 maxmag # 10 -> NaN Invalid_operation