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305 lines
12 KiB
305 lines
12 KiB
4 months ago
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------------------------------------------------------------------------
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-- ddMaxMag.decTest -- decDouble maxnummag --
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-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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version: 2.59
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-- we assume that base comparison is tested in compare.decTest, so
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-- these mainly cover special cases and rounding
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precision: 16
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maxExponent: 384
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minExponent: -383
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extended: 1
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clamp: 1
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rounding: half_even
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-- sanity checks
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ddmxg001 maxmag -2 -2 -> -2
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ddmxg002 maxmag -2 -1 -> -2
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ddmxg003 maxmag -2 0 -> -2
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ddmxg004 maxmag -2 1 -> -2
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ddmxg005 maxmag -2 2 -> 2
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ddmxg006 maxmag -1 -2 -> -2
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ddmxg007 maxmag -1 -1 -> -1
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ddmxg008 maxmag -1 0 -> -1
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ddmxg009 maxmag -1 1 -> 1
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ddmxg010 maxmag -1 2 -> 2
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ddmxg011 maxmag 0 -2 -> -2
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ddmxg012 maxmag 0 -1 -> -1
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ddmxg013 maxmag 0 0 -> 0
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ddmxg014 maxmag 0 1 -> 1
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ddmxg015 maxmag 0 2 -> 2
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ddmxg016 maxmag 1 -2 -> -2
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ddmxg017 maxmag 1 -1 -> 1
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ddmxg018 maxmag 1 0 -> 1
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ddmxg019 maxmag 1 1 -> 1
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ddmxg020 maxmag 1 2 -> 2
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ddmxg021 maxmag 2 -2 -> 2
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ddmxg022 maxmag 2 -1 -> 2
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ddmxg023 maxmag 2 0 -> 2
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ddmxg025 maxmag 2 1 -> 2
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ddmxg026 maxmag 2 2 -> 2
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-- extended zeros
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ddmxg030 maxmag 0 0 -> 0
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ddmxg031 maxmag 0 -0 -> 0
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ddmxg032 maxmag 0 -0.0 -> 0
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ddmxg033 maxmag 0 0.0 -> 0
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ddmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
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ddmxg035 maxmag -0 -0 -> -0
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ddmxg036 maxmag -0 -0.0 -> -0.0
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ddmxg037 maxmag -0 0.0 -> 0.0
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ddmxg038 maxmag 0.0 0 -> 0
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ddmxg039 maxmag 0.0 -0 -> 0.0
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ddmxg040 maxmag 0.0 -0.0 -> 0.0
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ddmxg041 maxmag 0.0 0.0 -> 0.0
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ddmxg042 maxmag -0.0 0 -> 0
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ddmxg043 maxmag -0.0 -0 -> -0.0
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ddmxg044 maxmag -0.0 -0.0 -> -0.0
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ddmxg045 maxmag -0.0 0.0 -> 0.0
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ddmxg050 maxmag -0E1 0E1 -> 0E+1
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ddmxg051 maxmag -0E2 0E2 -> 0E+2
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ddmxg052 maxmag -0E2 0E1 -> 0E+1
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ddmxg053 maxmag -0E1 0E2 -> 0E+2
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ddmxg054 maxmag 0E1 -0E1 -> 0E+1
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ddmxg055 maxmag 0E2 -0E2 -> 0E+2
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ddmxg056 maxmag 0E2 -0E1 -> 0E+2
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ddmxg057 maxmag 0E1 -0E2 -> 0E+1
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ddmxg058 maxmag 0E1 0E1 -> 0E+1
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ddmxg059 maxmag 0E2 0E2 -> 0E+2
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ddmxg060 maxmag 0E2 0E1 -> 0E+2
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ddmxg061 maxmag 0E1 0E2 -> 0E+2
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ddmxg062 maxmag -0E1 -0E1 -> -0E+1
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ddmxg063 maxmag -0E2 -0E2 -> -0E+2
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ddmxg064 maxmag -0E2 -0E1 -> -0E+1
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ddmxg065 maxmag -0E1 -0E2 -> -0E+1
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-- Specials
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ddmxg090 maxmag Inf -Inf -> Infinity
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ddmxg091 maxmag Inf -1000 -> Infinity
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ddmxg092 maxmag Inf -1 -> Infinity
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ddmxg093 maxmag Inf -0 -> Infinity
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ddmxg094 maxmag Inf 0 -> Infinity
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ddmxg095 maxmag Inf 1 -> Infinity
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ddmxg096 maxmag Inf 1000 -> Infinity
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ddmxg097 maxmag Inf Inf -> Infinity
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ddmxg098 maxmag -1000 Inf -> Infinity
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ddmxg099 maxmag -Inf Inf -> Infinity
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ddmxg100 maxmag -1 Inf -> Infinity
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ddmxg101 maxmag -0 Inf -> Infinity
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ddmxg102 maxmag 0 Inf -> Infinity
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ddmxg103 maxmag 1 Inf -> Infinity
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ddmxg104 maxmag 1000 Inf -> Infinity
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ddmxg105 maxmag Inf Inf -> Infinity
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ddmxg120 maxmag -Inf -Inf -> -Infinity
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ddmxg121 maxmag -Inf -1000 -> -Infinity
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ddmxg122 maxmag -Inf -1 -> -Infinity
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ddmxg123 maxmag -Inf -0 -> -Infinity
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ddmxg124 maxmag -Inf 0 -> -Infinity
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ddmxg125 maxmag -Inf 1 -> -Infinity
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ddmxg126 maxmag -Inf 1000 -> -Infinity
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ddmxg127 maxmag -Inf Inf -> Infinity
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ddmxg128 maxmag -Inf -Inf -> -Infinity
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ddmxg129 maxmag -1000 -Inf -> -Infinity
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ddmxg130 maxmag -1 -Inf -> -Infinity
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ddmxg131 maxmag -0 -Inf -> -Infinity
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ddmxg132 maxmag 0 -Inf -> -Infinity
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ddmxg133 maxmag 1 -Inf -> -Infinity
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ddmxg134 maxmag 1000 -Inf -> -Infinity
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ddmxg135 maxmag Inf -Inf -> Infinity
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-- 2004.08.02 754r chooses number over NaN in mixed cases
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ddmxg141 maxmag NaN -Inf -> -Infinity
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ddmxg142 maxmag NaN -1000 -> -1000
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ddmxg143 maxmag NaN -1 -> -1
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ddmxg144 maxmag NaN -0 -> -0
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ddmxg145 maxmag NaN 0 -> 0
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ddmxg146 maxmag NaN 1 -> 1
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ddmxg147 maxmag NaN 1000 -> 1000
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ddmxg148 maxmag NaN Inf -> Infinity
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ddmxg149 maxmag NaN NaN -> NaN
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ddmxg150 maxmag -Inf NaN -> -Infinity
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ddmxg151 maxmag -1000 NaN -> -1000
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ddmxg152 maxmag -1 NaN -> -1
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ddmxg153 maxmag -0 NaN -> -0
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ddmxg154 maxmag 0 NaN -> 0
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ddmxg155 maxmag 1 NaN -> 1
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ddmxg156 maxmag 1000 NaN -> 1000
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ddmxg157 maxmag Inf NaN -> Infinity
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ddmxg161 maxmag sNaN -Inf -> NaN Invalid_operation
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ddmxg162 maxmag sNaN -1000 -> NaN Invalid_operation
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ddmxg163 maxmag sNaN -1 -> NaN Invalid_operation
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ddmxg164 maxmag sNaN -0 -> NaN Invalid_operation
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ddmxg165 maxmag sNaN 0 -> NaN Invalid_operation
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ddmxg166 maxmag sNaN 1 -> NaN Invalid_operation
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ddmxg167 maxmag sNaN 1000 -> NaN Invalid_operation
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ddmxg168 maxmag sNaN NaN -> NaN Invalid_operation
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ddmxg169 maxmag sNaN sNaN -> NaN Invalid_operation
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ddmxg170 maxmag NaN sNaN -> NaN Invalid_operation
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ddmxg171 maxmag -Inf sNaN -> NaN Invalid_operation
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ddmxg172 maxmag -1000 sNaN -> NaN Invalid_operation
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ddmxg173 maxmag -1 sNaN -> NaN Invalid_operation
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ddmxg174 maxmag -0 sNaN -> NaN Invalid_operation
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ddmxg175 maxmag 0 sNaN -> NaN Invalid_operation
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ddmxg176 maxmag 1 sNaN -> NaN Invalid_operation
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ddmxg177 maxmag 1000 sNaN -> NaN Invalid_operation
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ddmxg178 maxmag Inf sNaN -> NaN Invalid_operation
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ddmxg179 maxmag NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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ddmxg181 maxmag NaN9 -Inf -> -Infinity
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ddmxg182 maxmag NaN8 9 -> 9
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ddmxg183 maxmag -NaN7 Inf -> Infinity
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ddmxg184 maxmag -NaN1 NaN11 -> -NaN1
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ddmxg185 maxmag NaN2 NaN12 -> NaN2
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ddmxg186 maxmag -NaN13 -NaN7 -> -NaN13
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ddmxg187 maxmag NaN14 -NaN5 -> NaN14
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ddmxg188 maxmag -Inf NaN4 -> -Infinity
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ddmxg189 maxmag -9 -NaN3 -> -9
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ddmxg190 maxmag Inf NaN2 -> Infinity
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ddmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
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ddmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
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ddmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
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ddmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
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ddmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
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ddmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
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ddmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
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ddmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
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ddmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation
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-- old rounding checks
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ddmxg221 maxmag 12345678000 1 -> 12345678000
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ddmxg222 maxmag 1 12345678000 -> 12345678000
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ddmxg223 maxmag 1234567800 1 -> 1234567800
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ddmxg224 maxmag 1 1234567800 -> 1234567800
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ddmxg225 maxmag 1234567890 1 -> 1234567890
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ddmxg226 maxmag 1 1234567890 -> 1234567890
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ddmxg227 maxmag 1234567891 1 -> 1234567891
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ddmxg228 maxmag 1 1234567891 -> 1234567891
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ddmxg229 maxmag 12345678901 1 -> 12345678901
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ddmxg230 maxmag 1 12345678901 -> 12345678901
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ddmxg231 maxmag 1234567896 1 -> 1234567896
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ddmxg232 maxmag 1 1234567896 -> 1234567896
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ddmxg233 maxmag -1234567891 1 -> -1234567891
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ddmxg234 maxmag 1 -1234567891 -> -1234567891
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ddmxg235 maxmag -12345678901 1 -> -12345678901
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ddmxg236 maxmag 1 -12345678901 -> -12345678901
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ddmxg237 maxmag -1234567896 1 -> -1234567896
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ddmxg238 maxmag 1 -1234567896 -> -1234567896
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-- from examples
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ddmxg280 maxmag '3' '2' -> '3'
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ddmxg281 maxmag '-10' '3' -> '-10'
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ddmxg282 maxmag '1.0' '1' -> '1'
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ddmxg283 maxmag '1' '1.0' -> '1'
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ddmxg284 maxmag '7' 'NaN' -> '7'
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-- expanded list from min/max 754r purple prose
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-- [explicit tests for exponent ordering]
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ddmxg401 maxmag Inf 1.1 -> Infinity
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ddmxg402 maxmag 1.1 1 -> 1.1
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ddmxg403 maxmag 1 1.0 -> 1
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ddmxg404 maxmag 1.0 0.1 -> 1.0
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ddmxg405 maxmag 0.1 0.10 -> 0.1
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ddmxg406 maxmag 0.10 0.100 -> 0.10
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ddmxg407 maxmag 0.10 0 -> 0.10
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ddmxg408 maxmag 0 0.0 -> 0
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ddmxg409 maxmag 0.0 -0 -> 0.0
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ddmxg410 maxmag 0.0 -0.0 -> 0.0
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ddmxg411 maxmag 0.00 -0.0 -> 0.00
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ddmxg412 maxmag 0.0 -0.00 -> 0.0
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ddmxg413 maxmag 0 -0.0 -> 0
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ddmxg414 maxmag 0 -0 -> 0
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ddmxg415 maxmag -0.0 -0 -> -0.0
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ddmxg416 maxmag -0 -0.100 -> -0.100
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ddmxg417 maxmag -0.100 -0.10 -> -0.100
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ddmxg418 maxmag -0.10 -0.1 -> -0.10
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ddmxg419 maxmag -0.1 -1.0 -> -1.0
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ddmxg420 maxmag -1.0 -1 -> -1.0
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ddmxg421 maxmag -1 -1.1 -> -1.1
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ddmxg423 maxmag -1.1 -Inf -> -Infinity
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-- same with operands reversed
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ddmxg431 maxmag 1.1 Inf -> Infinity
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ddmxg432 maxmag 1 1.1 -> 1.1
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ddmxg433 maxmag 1.0 1 -> 1
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ddmxg434 maxmag 0.1 1.0 -> 1.0
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ddmxg435 maxmag 0.10 0.1 -> 0.1
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ddmxg436 maxmag 0.100 0.10 -> 0.10
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ddmxg437 maxmag 0 0.10 -> 0.10
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ddmxg438 maxmag 0.0 0 -> 0
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ddmxg439 maxmag -0 0.0 -> 0.0
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ddmxg440 maxmag -0.0 0.0 -> 0.0
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ddmxg441 maxmag -0.0 0.00 -> 0.00
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ddmxg442 maxmag -0.00 0.0 -> 0.0
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ddmxg443 maxmag -0.0 0 -> 0
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ddmxg444 maxmag -0 0 -> 0
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ddmxg445 maxmag -0 -0.0 -> -0.0
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ddmxg446 maxmag -0.100 -0 -> -0.100
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ddmxg447 maxmag -0.10 -0.100 -> -0.100
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ddmxg448 maxmag -0.1 -0.10 -> -0.10
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ddmxg449 maxmag -1.0 -0.1 -> -1.0
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ddmxg450 maxmag -1 -1.0 -> -1.0
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ddmxg451 maxmag -1.1 -1 -> -1.1
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ddmxg453 maxmag -Inf -1.1 -> -Infinity
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-- largies
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ddmxg460 maxmag 1000 1E+3 -> 1E+3
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ddmxg461 maxmag 1E+3 1000 -> 1E+3
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ddmxg462 maxmag 1000 -1E+3 -> 1000
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ddmxg463 maxmag 1E+3 -1000 -> 1E+3
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ddmxg464 maxmag -1000 1E+3 -> 1E+3
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ddmxg465 maxmag -1E+3 1000 -> 1000
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ddmxg466 maxmag -1000 -1E+3 -> -1000
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ddmxg467 maxmag -1E+3 -1000 -> -1000
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-- subnormals
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ddmxg510 maxmag 1.00E-383 0 -> 1.00E-383
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ddmxg511 maxmag 0.1E-383 0 -> 1E-384 Subnormal
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ddmxg512 maxmag 0.10E-383 0 -> 1.0E-384 Subnormal
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ddmxg513 maxmag 0.100E-383 0 -> 1.00E-384 Subnormal
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ddmxg514 maxmag 0.01E-383 0 -> 1E-385 Subnormal
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ddmxg515 maxmag 0.999E-383 0 -> 9.99E-384 Subnormal
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ddmxg516 maxmag 0.099E-383 0 -> 9.9E-385 Subnormal
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ddmxg517 maxmag 0.009E-383 0 -> 9E-386 Subnormal
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ddmxg518 maxmag 0.001E-383 0 -> 1E-386 Subnormal
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ddmxg519 maxmag 0.0009E-383 0 -> 9E-387 Subnormal
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ddmxg520 maxmag 0.0001E-383 0 -> 1E-387 Subnormal
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ddmxg530 maxmag -1.00E-383 0 -> -1.00E-383
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ddmxg531 maxmag -0.1E-383 0 -> -1E-384 Subnormal
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ddmxg532 maxmag -0.10E-383 0 -> -1.0E-384 Subnormal
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ddmxg533 maxmag -0.100E-383 0 -> -1.00E-384 Subnormal
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ddmxg534 maxmag -0.01E-383 0 -> -1E-385 Subnormal
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ddmxg535 maxmag -0.999E-383 0 -> -9.99E-384 Subnormal
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ddmxg536 maxmag -0.099E-383 0 -> -9.9E-385 Subnormal
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ddmxg537 maxmag -0.009E-383 0 -> -9E-386 Subnormal
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ddmxg538 maxmag -0.001E-383 0 -> -1E-386 Subnormal
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ddmxg539 maxmag -0.0009E-383 0 -> -9E-387 Subnormal
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ddmxg540 maxmag -0.0001E-383 0 -> -1E-387 Subnormal
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-- Null tests
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ddmxg900 maxmag 10 # -> NaN Invalid_operation
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ddmxg901 maxmag # 10 -> NaN Invalid_operation
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