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------------------------------------------------------------------------
-- dqMaxMag.decTest -- decQuad 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
extended: 1
clamp: 1
precision: 34
maxExponent: 6144
minExponent: -6143
rounding: half_even
-- sanity checks
dqmxg001 maxmag -2 -2 -> -2
dqmxg002 maxmag -2 -1 -> -2
dqmxg003 maxmag -2 0 -> -2
dqmxg004 maxmag -2 1 -> -2
dqmxg005 maxmag -2 2 -> 2
dqmxg006 maxmag -1 -2 -> -2
dqmxg007 maxmag -1 -1 -> -1
dqmxg008 maxmag -1 0 -> -1
dqmxg009 maxmag -1 1 -> 1
dqmxg010 maxmag -1 2 -> 2
dqmxg011 maxmag 0 -2 -> -2
dqmxg012 maxmag 0 -1 -> -1
dqmxg013 maxmag 0 0 -> 0
dqmxg014 maxmag 0 1 -> 1
dqmxg015 maxmag 0 2 -> 2
dqmxg016 maxmag 1 -2 -> -2
dqmxg017 maxmag 1 -1 -> 1
dqmxg018 maxmag 1 0 -> 1
dqmxg019 maxmag 1 1 -> 1
dqmxg020 maxmag 1 2 -> 2
dqmxg021 maxmag 2 -2 -> 2
dqmxg022 maxmag 2 -1 -> 2
dqmxg023 maxmag 2 0 -> 2
dqmxg025 maxmag 2 1 -> 2
dqmxg026 maxmag 2 2 -> 2
-- extended zeros
dqmxg030 maxmag 0 0 -> 0
dqmxg031 maxmag 0 -0 -> 0
dqmxg032 maxmag 0 -0.0 -> 0
dqmxg033 maxmag 0 0.0 -> 0
dqmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
dqmxg035 maxmag -0 -0 -> -0
dqmxg036 maxmag -0 -0.0 -> -0.0
dqmxg037 maxmag -0 0.0 -> 0.0
dqmxg038 maxmag 0.0 0 -> 0
dqmxg039 maxmag 0.0 -0 -> 0.0
dqmxg040 maxmag 0.0 -0.0 -> 0.0
dqmxg041 maxmag 0.0 0.0 -> 0.0
dqmxg042 maxmag -0.0 0 -> 0
dqmxg043 maxmag -0.0 -0 -> -0.0
dqmxg044 maxmag -0.0 -0.0 -> -0.0
dqmxg045 maxmag -0.0 0.0 -> 0.0
dqmxg050 maxmag -0E1 0E1 -> 0E+1
dqmxg051 maxmag -0E2 0E2 -> 0E+2
dqmxg052 maxmag -0E2 0E1 -> 0E+1
dqmxg053 maxmag -0E1 0E2 -> 0E+2
dqmxg054 maxmag 0E1 -0E1 -> 0E+1
dqmxg055 maxmag 0E2 -0E2 -> 0E+2
dqmxg056 maxmag 0E2 -0E1 -> 0E+2
dqmxg057 maxmag 0E1 -0E2 -> 0E+1
dqmxg058 maxmag 0E1 0E1 -> 0E+1
dqmxg059 maxmag 0E2 0E2 -> 0E+2
dqmxg060 maxmag 0E2 0E1 -> 0E+2
dqmxg061 maxmag 0E1 0E2 -> 0E+2
dqmxg062 maxmag -0E1 -0E1 -> -0E+1
dqmxg063 maxmag -0E2 -0E2 -> -0E+2
dqmxg064 maxmag -0E2 -0E1 -> -0E+1
dqmxg065 maxmag -0E1 -0E2 -> -0E+1
-- Specials
dqmxg090 maxmag Inf -Inf -> Infinity
dqmxg091 maxmag Inf -1000 -> Infinity
dqmxg092 maxmag Inf -1 -> Infinity
dqmxg093 maxmag Inf -0 -> Infinity
dqmxg094 maxmag Inf 0 -> Infinity
dqmxg095 maxmag Inf 1 -> Infinity
dqmxg096 maxmag Inf 1000 -> Infinity
dqmxg097 maxmag Inf Inf -> Infinity
dqmxg098 maxmag -1000 Inf -> Infinity
dqmxg099 maxmag -Inf Inf -> Infinity
dqmxg100 maxmag -1 Inf -> Infinity
dqmxg101 maxmag -0 Inf -> Infinity
dqmxg102 maxmag 0 Inf -> Infinity
dqmxg103 maxmag 1 Inf -> Infinity
dqmxg104 maxmag 1000 Inf -> Infinity
dqmxg105 maxmag Inf Inf -> Infinity
dqmxg120 maxmag -Inf -Inf -> -Infinity
dqmxg121 maxmag -Inf -1000 -> -Infinity
dqmxg122 maxmag -Inf -1 -> -Infinity
dqmxg123 maxmag -Inf -0 -> -Infinity
dqmxg124 maxmag -Inf 0 -> -Infinity
dqmxg125 maxmag -Inf 1 -> -Infinity
dqmxg126 maxmag -Inf 1000 -> -Infinity
dqmxg127 maxmag -Inf Inf -> Infinity
dqmxg128 maxmag -Inf -Inf -> -Infinity
dqmxg129 maxmag -1000 -Inf -> -Infinity
dqmxg130 maxmag -1 -Inf -> -Infinity
dqmxg131 maxmag -0 -Inf -> -Infinity
dqmxg132 maxmag 0 -Inf -> -Infinity
dqmxg133 maxmag 1 -Inf -> -Infinity
dqmxg134 maxmag 1000 -Inf -> -Infinity
dqmxg135 maxmag Inf -Inf -> Infinity
-- 2004.08.02 754r chooses number over NaN in mixed cases
dqmxg141 maxmag NaN -Inf -> -Infinity
dqmxg142 maxmag NaN -1000 -> -1000
dqmxg143 maxmag NaN -1 -> -1
dqmxg144 maxmag NaN -0 -> -0
dqmxg145 maxmag NaN 0 -> 0
dqmxg146 maxmag NaN 1 -> 1
dqmxg147 maxmag NaN 1000 -> 1000
dqmxg148 maxmag NaN Inf -> Infinity
dqmxg149 maxmag NaN NaN -> NaN
dqmxg150 maxmag -Inf NaN -> -Infinity
dqmxg151 maxmag -1000 NaN -> -1000
dqmxg152 maxmag -1 NaN -> -1
dqmxg153 maxmag -0 NaN -> -0
dqmxg154 maxmag 0 NaN -> 0
dqmxg155 maxmag 1 NaN -> 1
dqmxg156 maxmag 1000 NaN -> 1000
dqmxg157 maxmag Inf NaN -> Infinity
dqmxg161 maxmag sNaN -Inf -> NaN Invalid_operation
dqmxg162 maxmag sNaN -1000 -> NaN Invalid_operation
dqmxg163 maxmag sNaN -1 -> NaN Invalid_operation
dqmxg164 maxmag sNaN -0 -> NaN Invalid_operation
dqmxg165 maxmag sNaN 0 -> NaN Invalid_operation
dqmxg166 maxmag sNaN 1 -> NaN Invalid_operation
dqmxg167 maxmag sNaN 1000 -> NaN Invalid_operation
dqmxg168 maxmag sNaN NaN -> NaN Invalid_operation
dqmxg169 maxmag sNaN sNaN -> NaN Invalid_operation
dqmxg170 maxmag NaN sNaN -> NaN Invalid_operation
dqmxg171 maxmag -Inf sNaN -> NaN Invalid_operation
dqmxg172 maxmag -1000 sNaN -> NaN Invalid_operation
dqmxg173 maxmag -1 sNaN -> NaN Invalid_operation
dqmxg174 maxmag -0 sNaN -> NaN Invalid_operation
dqmxg175 maxmag 0 sNaN -> NaN Invalid_operation
dqmxg176 maxmag 1 sNaN -> NaN Invalid_operation
dqmxg177 maxmag 1000 sNaN -> NaN Invalid_operation
dqmxg178 maxmag Inf sNaN -> NaN Invalid_operation
dqmxg179 maxmag NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
dqmxg181 maxmag NaN9 -Inf -> -Infinity
dqmxg182 maxmag NaN8 9 -> 9
dqmxg183 maxmag -NaN7 Inf -> Infinity
dqmxg184 maxmag -NaN1 NaN11 -> -NaN1
dqmxg185 maxmag NaN2 NaN12 -> NaN2
dqmxg186 maxmag -NaN13 -NaN7 -> -NaN13
dqmxg187 maxmag NaN14 -NaN5 -> NaN14
dqmxg188 maxmag -Inf NaN4 -> -Infinity
dqmxg189 maxmag -9 -NaN3 -> -9
dqmxg190 maxmag Inf NaN2 -> Infinity
dqmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
dqmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
dqmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
dqmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
dqmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
dqmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
dqmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
dqmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
dqmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation
-- old rounding checks
dqmxg221 maxmag 12345678000 1 -> 12345678000
dqmxg222 maxmag 1 12345678000 -> 12345678000
dqmxg223 maxmag 1234567800 1 -> 1234567800
dqmxg224 maxmag 1 1234567800 -> 1234567800
dqmxg225 maxmag 1234567890 1 -> 1234567890
dqmxg226 maxmag 1 1234567890 -> 1234567890
dqmxg227 maxmag 1234567891 1 -> 1234567891
dqmxg228 maxmag 1 1234567891 -> 1234567891
dqmxg229 maxmag 12345678901 1 -> 12345678901
dqmxg230 maxmag 1 12345678901 -> 12345678901
dqmxg231 maxmag 1234567896 1 -> 1234567896
dqmxg232 maxmag 1 1234567896 -> 1234567896
dqmxg233 maxmag -1234567891 1 -> -1234567891
dqmxg234 maxmag 1 -1234567891 -> -1234567891
dqmxg235 maxmag -12345678901 1 -> -12345678901
dqmxg236 maxmag 1 -12345678901 -> -12345678901
dqmxg237 maxmag -1234567896 1 -> -1234567896
dqmxg238 maxmag 1 -1234567896 -> -1234567896
-- from examples
dqmxg280 maxmag '3' '2' -> '3'
dqmxg281 maxmag '-10' '3' -> '-10'
dqmxg282 maxmag '1.0' '1' -> '1'
dqmxg283 maxmag '1' '1.0' -> '1'
dqmxg284 maxmag '7' 'NaN' -> '7'
-- expanded list from min/max 754r purple prose
-- [explicit tests for exponent ordering]
dqmxg401 maxmag Inf 1.1 -> Infinity
dqmxg402 maxmag 1.1 1 -> 1.1
dqmxg403 maxmag 1 1.0 -> 1
dqmxg404 maxmag 1.0 0.1 -> 1.0
dqmxg405 maxmag 0.1 0.10 -> 0.1
dqmxg406 maxmag 0.10 0.100 -> 0.10
dqmxg407 maxmag 0.10 0 -> 0.10
dqmxg408 maxmag 0 0.0 -> 0
dqmxg409 maxmag 0.0 -0 -> 0.0
dqmxg410 maxmag 0.0 -0.0 -> 0.0
dqmxg411 maxmag 0.00 -0.0 -> 0.00
dqmxg412 maxmag 0.0 -0.00 -> 0.0
dqmxg413 maxmag 0 -0.0 -> 0
dqmxg414 maxmag 0 -0 -> 0
dqmxg415 maxmag -0.0 -0 -> -0.0
dqmxg416 maxmag -0 -0.100 -> -0.100
dqmxg417 maxmag -0.100 -0.10 -> -0.100
dqmxg418 maxmag -0.10 -0.1 -> -0.10
dqmxg419 maxmag -0.1 -1.0 -> -1.0
dqmxg420 maxmag -1.0 -1 -> -1.0
dqmxg421 maxmag -1 -1.1 -> -1.1
dqmxg423 maxmag -1.1 -Inf -> -Infinity
-- same with operands reversed
dqmxg431 maxmag 1.1 Inf -> Infinity
dqmxg432 maxmag 1 1.1 -> 1.1
dqmxg433 maxmag 1.0 1 -> 1
dqmxg434 maxmag 0.1 1.0 -> 1.0
dqmxg435 maxmag 0.10 0.1 -> 0.1
dqmxg436 maxmag 0.100 0.10 -> 0.10
dqmxg437 maxmag 0 0.10 -> 0.10
dqmxg438 maxmag 0.0 0 -> 0
dqmxg439 maxmag -0 0.0 -> 0.0
dqmxg440 maxmag -0.0 0.0 -> 0.0
dqmxg441 maxmag -0.0 0.00 -> 0.00
dqmxg442 maxmag -0.00 0.0 -> 0.0
dqmxg443 maxmag -0.0 0 -> 0
dqmxg444 maxmag -0 0 -> 0
dqmxg445 maxmag -0 -0.0 -> -0.0
dqmxg446 maxmag -0.100 -0 -> -0.100
dqmxg447 maxmag -0.10 -0.100 -> -0.100
dqmxg448 maxmag -0.1 -0.10 -> -0.10
dqmxg449 maxmag -1.0 -0.1 -> -1.0
dqmxg450 maxmag -1 -1.0 -> -1.0
dqmxg451 maxmag -1.1 -1 -> -1.1
dqmxg453 maxmag -Inf -1.1 -> -Infinity
-- largies
dqmxg460 maxmag 1000 1E+3 -> 1E+3
dqmxg461 maxmag 1E+3 1000 -> 1E+3
dqmxg462 maxmag 1000 -1E+3 -> 1000
dqmxg463 maxmag 1E+3 -1000 -> 1E+3
dqmxg464 maxmag -1000 1E+3 -> 1E+3
dqmxg465 maxmag -1E+3 1000 -> 1000
dqmxg466 maxmag -1000 -1E+3 -> -1000
dqmxg467 maxmag -1E+3 -1000 -> -1000
-- subnormals
dqmxg510 maxmag 1.00E-6143 0 -> 1.00E-6143
dqmxg511 maxmag 0.1E-6143 0 -> 1E-6144 Subnormal
dqmxg512 maxmag 0.10E-6143 0 -> 1.0E-6144 Subnormal
dqmxg513 maxmag 0.100E-6143 0 -> 1.00E-6144 Subnormal
dqmxg514 maxmag 0.01E-6143 0 -> 1E-6145 Subnormal
dqmxg515 maxmag 0.999E-6143 0 -> 9.99E-6144 Subnormal
dqmxg516 maxmag 0.099E-6143 0 -> 9.9E-6145 Subnormal
dqmxg517 maxmag 0.009E-6143 0 -> 9E-6146 Subnormal
dqmxg518 maxmag 0.001E-6143 0 -> 1E-6146 Subnormal
dqmxg519 maxmag 0.0009E-6143 0 -> 9E-6147 Subnormal
dqmxg520 maxmag 0.0001E-6143 0 -> 1E-6147 Subnormal
dqmxg530 maxmag -1.00E-6143 0 -> -1.00E-6143
dqmxg531 maxmag -0.1E-6143 0 -> -1E-6144 Subnormal
dqmxg532 maxmag -0.10E-6143 0 -> -1.0E-6144 Subnormal
dqmxg533 maxmag -0.100E-6143 0 -> -1.00E-6144 Subnormal
dqmxg534 maxmag -0.01E-6143 0 -> -1E-6145 Subnormal
dqmxg535 maxmag -0.999E-6143 0 -> -9.99E-6144 Subnormal
dqmxg536 maxmag -0.099E-6143 0 -> -9.9E-6145 Subnormal
dqmxg537 maxmag -0.009E-6143 0 -> -9E-6146 Subnormal
dqmxg538 maxmag -0.001E-6143 0 -> -1E-6146 Subnormal
dqmxg539 maxmag -0.0009E-6143 0 -> -9E-6147 Subnormal
dqmxg540 maxmag -0.0001E-6143 0 -> -1E-6147 Subnormal
-- Null tests
dqmxg900 maxmag 10 # -> NaN Invalid_operation
dqmxg901 maxmag # 10 -> NaN Invalid_operation