2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- ddMax.decTest -- decDouble maxnum --
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-- Copyright (c) IBM Corporation, 1981, 2007. 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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2007-11-23 14:14:50 -04:00
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version: 2.57
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2007-09-13 15:13:15 -03:00
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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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ddmax001 max -2 -2 -> -2
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ddmax002 max -2 -1 -> -1
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ddmax003 max -2 0 -> 0
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ddmax004 max -2 1 -> 1
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ddmax005 max -2 2 -> 2
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ddmax006 max -1 -2 -> -1
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ddmax007 max -1 -1 -> -1
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ddmax008 max -1 0 -> 0
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ddmax009 max -1 1 -> 1
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ddmax010 max -1 2 -> 2
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ddmax011 max 0 -2 -> 0
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ddmax012 max 0 -1 -> 0
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ddmax013 max 0 0 -> 0
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ddmax014 max 0 1 -> 1
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ddmax015 max 0 2 -> 2
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ddmax016 max 1 -2 -> 1
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ddmax017 max 1 -1 -> 1
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ddmax018 max 1 0 -> 1
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ddmax019 max 1 1 -> 1
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ddmax020 max 1 2 -> 2
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ddmax021 max 2 -2 -> 2
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ddmax022 max 2 -1 -> 2
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ddmax023 max 2 0 -> 2
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ddmax025 max 2 1 -> 2
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ddmax026 max 2 2 -> 2
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-- extended zeros
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ddmax030 max 0 0 -> 0
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ddmax031 max 0 -0 -> 0
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ddmax032 max 0 -0.0 -> 0
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ddmax033 max 0 0.0 -> 0
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ddmax034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen
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ddmax035 max -0 -0 -> -0
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ddmax036 max -0 -0.0 -> -0.0
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ddmax037 max -0 0.0 -> 0.0
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ddmax038 max 0.0 0 -> 0
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ddmax039 max 0.0 -0 -> 0.0
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ddmax040 max 0.0 -0.0 -> 0.0
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ddmax041 max 0.0 0.0 -> 0.0
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ddmax042 max -0.0 0 -> 0
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ddmax043 max -0.0 -0 -> -0.0
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ddmax044 max -0.0 -0.0 -> -0.0
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ddmax045 max -0.0 0.0 -> 0.0
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ddmax050 max -0E1 0E1 -> 0E+1
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ddmax051 max -0E2 0E2 -> 0E+2
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ddmax052 max -0E2 0E1 -> 0E+1
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ddmax053 max -0E1 0E2 -> 0E+2
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ddmax054 max 0E1 -0E1 -> 0E+1
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ddmax055 max 0E2 -0E2 -> 0E+2
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ddmax056 max 0E2 -0E1 -> 0E+2
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ddmax057 max 0E1 -0E2 -> 0E+1
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ddmax058 max 0E1 0E1 -> 0E+1
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ddmax059 max 0E2 0E2 -> 0E+2
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ddmax060 max 0E2 0E1 -> 0E+2
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ddmax061 max 0E1 0E2 -> 0E+2
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ddmax062 max -0E1 -0E1 -> -0E+1
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ddmax063 max -0E2 -0E2 -> -0E+2
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ddmax064 max -0E2 -0E1 -> -0E+1
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ddmax065 max -0E1 -0E2 -> -0E+1
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-- Specials
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ddmax090 max Inf -Inf -> Infinity
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ddmax091 max Inf -1000 -> Infinity
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ddmax092 max Inf -1 -> Infinity
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ddmax093 max Inf -0 -> Infinity
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ddmax094 max Inf 0 -> Infinity
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ddmax095 max Inf 1 -> Infinity
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ddmax096 max Inf 1000 -> Infinity
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ddmax097 max Inf Inf -> Infinity
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ddmax098 max -1000 Inf -> Infinity
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ddmax099 max -Inf Inf -> Infinity
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ddmax100 max -1 Inf -> Infinity
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ddmax101 max -0 Inf -> Infinity
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ddmax102 max 0 Inf -> Infinity
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ddmax103 max 1 Inf -> Infinity
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ddmax104 max 1000 Inf -> Infinity
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ddmax105 max Inf Inf -> Infinity
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ddmax120 max -Inf -Inf -> -Infinity
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ddmax121 max -Inf -1000 -> -1000
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ddmax122 max -Inf -1 -> -1
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ddmax123 max -Inf -0 -> -0
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ddmax124 max -Inf 0 -> 0
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ddmax125 max -Inf 1 -> 1
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ddmax126 max -Inf 1000 -> 1000
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ddmax127 max -Inf Inf -> Infinity
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ddmax128 max -Inf -Inf -> -Infinity
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ddmax129 max -1000 -Inf -> -1000
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ddmax130 max -1 -Inf -> -1
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ddmax131 max -0 -Inf -> -0
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ddmax132 max 0 -Inf -> 0
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ddmax133 max 1 -Inf -> 1
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ddmax134 max 1000 -Inf -> 1000
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ddmax135 max Inf -Inf -> Infinity
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-- 2004.08.02 754r chooses number over NaN in mixed cases
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ddmax141 max NaN -Inf -> -Infinity
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ddmax142 max NaN -1000 -> -1000
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ddmax143 max NaN -1 -> -1
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ddmax144 max NaN -0 -> -0
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ddmax145 max NaN 0 -> 0
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ddmax146 max NaN 1 -> 1
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ddmax147 max NaN 1000 -> 1000
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ddmax148 max NaN Inf -> Infinity
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ddmax149 max NaN NaN -> NaN
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ddmax150 max -Inf NaN -> -Infinity
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ddmax151 max -1000 NaN -> -1000
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ddmax152 max -1 NaN -> -1
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ddmax153 max -0 NaN -> -0
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ddmax154 max 0 NaN -> 0
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ddmax155 max 1 NaN -> 1
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ddmax156 max 1000 NaN -> 1000
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ddmax157 max Inf NaN -> Infinity
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ddmax161 max sNaN -Inf -> NaN Invalid_operation
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ddmax162 max sNaN -1000 -> NaN Invalid_operation
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ddmax163 max sNaN -1 -> NaN Invalid_operation
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ddmax164 max sNaN -0 -> NaN Invalid_operation
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ddmax165 max sNaN 0 -> NaN Invalid_operation
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ddmax166 max sNaN 1 -> NaN Invalid_operation
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ddmax167 max sNaN 1000 -> NaN Invalid_operation
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ddmax168 max sNaN NaN -> NaN Invalid_operation
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ddmax169 max sNaN sNaN -> NaN Invalid_operation
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ddmax170 max NaN sNaN -> NaN Invalid_operation
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ddmax171 max -Inf sNaN -> NaN Invalid_operation
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ddmax172 max -1000 sNaN -> NaN Invalid_operation
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ddmax173 max -1 sNaN -> NaN Invalid_operation
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ddmax174 max -0 sNaN -> NaN Invalid_operation
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ddmax175 max 0 sNaN -> NaN Invalid_operation
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ddmax176 max 1 sNaN -> NaN Invalid_operation
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ddmax177 max 1000 sNaN -> NaN Invalid_operation
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ddmax178 max Inf sNaN -> NaN Invalid_operation
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ddmax179 max NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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ddmax181 max NaN9 -Inf -> -Infinity
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ddmax182 max NaN8 9 -> 9
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ddmax183 max -NaN7 Inf -> Infinity
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ddmax184 max -NaN1 NaN11 -> -NaN1
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ddmax185 max NaN2 NaN12 -> NaN2
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ddmax186 max -NaN13 -NaN7 -> -NaN13
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ddmax187 max NaN14 -NaN5 -> NaN14
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ddmax188 max -Inf NaN4 -> -Infinity
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ddmax189 max -9 -NaN3 -> -9
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ddmax190 max Inf NaN2 -> Infinity
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ddmax191 max sNaN99 -Inf -> NaN99 Invalid_operation
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ddmax192 max sNaN98 -1 -> NaN98 Invalid_operation
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ddmax193 max -sNaN97 NaN -> -NaN97 Invalid_operation
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ddmax194 max sNaN96 sNaN94 -> NaN96 Invalid_operation
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ddmax195 max NaN95 sNaN93 -> NaN93 Invalid_operation
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ddmax196 max -Inf sNaN92 -> NaN92 Invalid_operation
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ddmax197 max 0 sNaN91 -> NaN91 Invalid_operation
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ddmax198 max Inf -sNaN90 -> -NaN90 Invalid_operation
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ddmax199 max NaN sNaN89 -> NaN89 Invalid_operation
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-- old rounding checks
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ddmax221 max 12345678000 1 -> 12345678000
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ddmax222 max 1 12345678000 -> 12345678000
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ddmax223 max 1234567800 1 -> 1234567800
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ddmax224 max 1 1234567800 -> 1234567800
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ddmax225 max 1234567890 1 -> 1234567890
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ddmax226 max 1 1234567890 -> 1234567890
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ddmax227 max 1234567891 1 -> 1234567891
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ddmax228 max 1 1234567891 -> 1234567891
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ddmax229 max 12345678901 1 -> 12345678901
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ddmax230 max 1 12345678901 -> 12345678901
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ddmax231 max 1234567896 1 -> 1234567896
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ddmax232 max 1 1234567896 -> 1234567896
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ddmax233 max -1234567891 1 -> 1
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ddmax234 max 1 -1234567891 -> 1
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ddmax235 max -12345678901 1 -> 1
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ddmax236 max 1 -12345678901 -> 1
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ddmax237 max -1234567896 1 -> 1
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ddmax238 max 1 -1234567896 -> 1
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-- from examples
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ddmax280 max '3' '2' -> '3'
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ddmax281 max '-10' '3' -> '3'
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ddmax282 max '1.0' '1' -> '1'
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ddmax283 max '1' '1.0' -> '1'
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ddmax284 max '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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ddmax401 max Inf 1.1 -> Infinity
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ddmax402 max 1.1 1 -> 1.1
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ddmax403 max 1 1.0 -> 1
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ddmax404 max 1.0 0.1 -> 1.0
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ddmax405 max 0.1 0.10 -> 0.1
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ddmax406 max 0.10 0.100 -> 0.10
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ddmax407 max 0.10 0 -> 0.10
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ddmax408 max 0 0.0 -> 0
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ddmax409 max 0.0 -0 -> 0.0
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ddmax410 max 0.0 -0.0 -> 0.0
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ddmax411 max 0.00 -0.0 -> 0.00
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ddmax412 max 0.0 -0.00 -> 0.0
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ddmax413 max 0 -0.0 -> 0
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ddmax414 max 0 -0 -> 0
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ddmax415 max -0.0 -0 -> -0.0
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ddmax416 max -0 -0.100 -> -0
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ddmax417 max -0.100 -0.10 -> -0.100
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ddmax418 max -0.10 -0.1 -> -0.10
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ddmax419 max -0.1 -1.0 -> -0.1
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ddmax420 max -1.0 -1 -> -1.0
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ddmax421 max -1 -1.1 -> -1
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ddmax423 max -1.1 -Inf -> -1.1
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-- same with operands reversed
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ddmax431 max 1.1 Inf -> Infinity
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ddmax432 max 1 1.1 -> 1.1
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ddmax433 max 1.0 1 -> 1
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ddmax434 max 0.1 1.0 -> 1.0
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ddmax435 max 0.10 0.1 -> 0.1
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ddmax436 max 0.100 0.10 -> 0.10
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ddmax437 max 0 0.10 -> 0.10
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ddmax438 max 0.0 0 -> 0
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ddmax439 max -0 0.0 -> 0.0
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ddmax440 max -0.0 0.0 -> 0.0
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ddmax441 max -0.0 0.00 -> 0.00
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ddmax442 max -0.00 0.0 -> 0.0
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ddmax443 max -0.0 0 -> 0
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ddmax444 max -0 0 -> 0
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ddmax445 max -0 -0.0 -> -0.0
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ddmax446 max -0.100 -0 -> -0
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ddmax447 max -0.10 -0.100 -> -0.100
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ddmax448 max -0.1 -0.10 -> -0.10
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ddmax449 max -1.0 -0.1 -> -0.1
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ddmax450 max -1 -1.0 -> -1.0
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ddmax451 max -1.1 -1 -> -1
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ddmax453 max -Inf -1.1 -> -1.1
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-- largies
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ddmax460 max 1000 1E+3 -> 1E+3
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ddmax461 max 1E+3 1000 -> 1E+3
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ddmax462 max 1000 -1E+3 -> 1000
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ddmax463 max 1E+3 -1000 -> 1E+3
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ddmax464 max -1000 1E+3 -> 1E+3
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ddmax465 max -1E+3 1000 -> 1000
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ddmax466 max -1000 -1E+3 -> -1000
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ddmax467 max -1E+3 -1000 -> -1000
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-- misalignment traps for little-endian
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ddmax471 max 1.0 0.1 -> 1.0
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ddmax472 max 0.1 1.0 -> 1.0
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ddmax473 max 10.0 0.1 -> 10.0
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ddmax474 max 0.1 10.0 -> 10.0
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ddmax475 max 100 1.0 -> 100
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ddmax476 max 1.0 100 -> 100
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ddmax477 max 1000 10.0 -> 1000
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ddmax478 max 10.0 1000 -> 1000
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ddmax479 max 10000 100.0 -> 10000
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ddmax480 max 100.0 10000 -> 10000
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ddmax481 max 100000 1000.0 -> 100000
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ddmax482 max 1000.0 100000 -> 100000
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ddmax483 max 1000000 10000.0 -> 1000000
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ddmax484 max 10000.0 1000000 -> 1000000
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-- subnormals
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ddmax510 max 1.00E-383 0 -> 1.00E-383
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ddmax511 max 0.1E-383 0 -> 1E-384 Subnormal
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ddmax512 max 0.10E-383 0 -> 1.0E-384 Subnormal
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ddmax513 max 0.100E-383 0 -> 1.00E-384 Subnormal
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ddmax514 max 0.01E-383 0 -> 1E-385 Subnormal
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ddmax515 max 0.999E-383 0 -> 9.99E-384 Subnormal
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ddmax516 max 0.099E-383 0 -> 9.9E-385 Subnormal
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ddmax517 max 0.009E-383 0 -> 9E-386 Subnormal
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ddmax518 max 0.001E-383 0 -> 1E-386 Subnormal
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ddmax519 max 0.0009E-383 0 -> 9E-387 Subnormal
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ddmax520 max 0.0001E-383 0 -> 1E-387 Subnormal
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ddmax530 max -1.00E-383 0 -> 0
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ddmax531 max -0.1E-383 0 -> 0
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ddmax532 max -0.10E-383 0 -> 0
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ddmax533 max -0.100E-383 0 -> 0
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ddmax534 max -0.01E-383 0 -> 0
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ddmax535 max -0.999E-383 0 -> 0
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ddmax536 max -0.099E-383 0 -> 0
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ddmax537 max -0.009E-383 0 -> 0
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ddmax538 max -0.001E-383 0 -> 0
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ddmax539 max -0.0009E-383 0 -> 0
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ddmax540 max -0.0001E-383 0 -> 0
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-- Null tests
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ddmax900 max 10 # -> NaN Invalid_operation
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ddmax901 max # 10 -> NaN Invalid_operation
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