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425 lines
16 KiB
425 lines
16 KiB
4 months ago
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------------------------------------------------------------------------
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-- max.decTest -- decimal maximum --
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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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extended: 1
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precision: 9
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rounding: half_up
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maxExponent: 384
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minexponent: -383
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-- sanity checks
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maxx001 max -2 -2 -> -2
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maxx002 max -2 -1 -> -1
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maxx003 max -2 0 -> 0
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maxx004 max -2 1 -> 1
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maxx005 max -2 2 -> 2
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maxx006 max -1 -2 -> -1
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maxx007 max -1 -1 -> -1
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maxx008 max -1 0 -> 0
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maxx009 max -1 1 -> 1
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maxx010 max -1 2 -> 2
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maxx011 max 0 -2 -> 0
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maxx012 max 0 -1 -> 0
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maxx013 max 0 0 -> 0
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maxx014 max 0 1 -> 1
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maxx015 max 0 2 -> 2
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maxx016 max 1 -2 -> 1
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maxx017 max 1 -1 -> 1
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maxx018 max 1 0 -> 1
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maxx019 max 1 1 -> 1
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maxx020 max 1 2 -> 2
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maxx021 max 2 -2 -> 2
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maxx022 max 2 -1 -> 2
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maxx023 max 2 0 -> 2
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maxx025 max 2 1 -> 2
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maxx026 max 2 2 -> 2
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-- extended zeros
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maxx030 max 0 0 -> 0
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maxx031 max 0 -0 -> 0
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maxx032 max 0 -0.0 -> 0
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maxx033 max 0 0.0 -> 0
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maxx034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen
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maxx035 max -0 -0 -> -0
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maxx036 max -0 -0.0 -> -0.0
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maxx037 max -0 0.0 -> 0.0
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maxx038 max 0.0 0 -> 0
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maxx039 max 0.0 -0 -> 0.0
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maxx040 max 0.0 -0.0 -> 0.0
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maxx041 max 0.0 0.0 -> 0.0
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maxx042 max -0.0 0 -> 0
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maxx043 max -0.0 -0 -> -0.0
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maxx044 max -0.0 -0.0 -> -0.0
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maxx045 max -0.0 0.0 -> 0.0
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maxx050 max -0E1 0E1 -> 0E+1
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maxx051 max -0E2 0E2 -> 0E+2
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maxx052 max -0E2 0E1 -> 0E+1
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maxx053 max -0E1 0E2 -> 0E+2
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maxx054 max 0E1 -0E1 -> 0E+1
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maxx055 max 0E2 -0E2 -> 0E+2
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maxx056 max 0E2 -0E1 -> 0E+2
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maxx057 max 0E1 -0E2 -> 0E+1
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maxx058 max 0E1 0E1 -> 0E+1
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maxx059 max 0E2 0E2 -> 0E+2
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maxx060 max 0E2 0E1 -> 0E+2
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maxx061 max 0E1 0E2 -> 0E+2
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maxx062 max -0E1 -0E1 -> -0E+1
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maxx063 max -0E2 -0E2 -> -0E+2
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maxx064 max -0E2 -0E1 -> -0E+1
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maxx065 max -0E1 -0E2 -> -0E+1
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-- Specials
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precision: 9
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maxx090 max Inf -Inf -> Infinity
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maxx091 max Inf -1000 -> Infinity
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maxx092 max Inf -1 -> Infinity
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maxx093 max Inf -0 -> Infinity
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maxx094 max Inf 0 -> Infinity
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maxx095 max Inf 1 -> Infinity
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maxx096 max Inf 1000 -> Infinity
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maxx097 max Inf Inf -> Infinity
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maxx098 max -1000 Inf -> Infinity
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maxx099 max -Inf Inf -> Infinity
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maxx100 max -1 Inf -> Infinity
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maxx101 max -0 Inf -> Infinity
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maxx102 max 0 Inf -> Infinity
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maxx103 max 1 Inf -> Infinity
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maxx104 max 1000 Inf -> Infinity
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maxx105 max Inf Inf -> Infinity
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maxx120 max -Inf -Inf -> -Infinity
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maxx121 max -Inf -1000 -> -1000
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maxx122 max -Inf -1 -> -1
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maxx123 max -Inf -0 -> -0
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maxx124 max -Inf 0 -> 0
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maxx125 max -Inf 1 -> 1
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maxx126 max -Inf 1000 -> 1000
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maxx127 max -Inf Inf -> Infinity
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maxx128 max -Inf -Inf -> -Infinity
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maxx129 max -1000 -Inf -> -1000
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maxx130 max -1 -Inf -> -1
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maxx131 max -0 -Inf -> -0
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maxx132 max 0 -Inf -> 0
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maxx133 max 1 -Inf -> 1
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maxx134 max 1000 -Inf -> 1000
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maxx135 max Inf -Inf -> Infinity
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-- 2004.08.02 754r chooses number over NaN in mixed cases
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maxx141 max NaN -Inf -> -Infinity
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maxx142 max NaN -1000 -> -1000
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maxx143 max NaN -1 -> -1
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maxx144 max NaN -0 -> -0
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maxx145 max NaN 0 -> 0
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maxx146 max NaN 1 -> 1
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maxx147 max NaN 1000 -> 1000
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maxx148 max NaN Inf -> Infinity
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maxx149 max NaN NaN -> NaN
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maxx150 max -Inf NaN -> -Infinity
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maxx151 max -1000 NaN -> -1000
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maxx152 max -1 NaN -> -1
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maxx153 max -0 NaN -> -0
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maxx154 max 0 NaN -> 0
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maxx155 max 1 NaN -> 1
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maxx156 max 1000 NaN -> 1000
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maxx157 max Inf NaN -> Infinity
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maxx161 max sNaN -Inf -> NaN Invalid_operation
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maxx162 max sNaN -1000 -> NaN Invalid_operation
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maxx163 max sNaN -1 -> NaN Invalid_operation
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maxx164 max sNaN -0 -> NaN Invalid_operation
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maxx165 max sNaN 0 -> NaN Invalid_operation
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maxx166 max sNaN 1 -> NaN Invalid_operation
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maxx167 max sNaN 1000 -> NaN Invalid_operation
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maxx168 max sNaN NaN -> NaN Invalid_operation
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maxx169 max sNaN sNaN -> NaN Invalid_operation
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maxx170 max NaN sNaN -> NaN Invalid_operation
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maxx171 max -Inf sNaN -> NaN Invalid_operation
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maxx172 max -1000 sNaN -> NaN Invalid_operation
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maxx173 max -1 sNaN -> NaN Invalid_operation
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maxx174 max -0 sNaN -> NaN Invalid_operation
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maxx175 max 0 sNaN -> NaN Invalid_operation
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maxx176 max 1 sNaN -> NaN Invalid_operation
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maxx177 max 1000 sNaN -> NaN Invalid_operation
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maxx178 max Inf sNaN -> NaN Invalid_operation
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maxx179 max NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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maxx181 max NaN9 -Inf -> -Infinity
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maxx182 max NaN8 9 -> 9
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maxx183 max -NaN7 Inf -> Infinity
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maxx184 max -NaN1 NaN11 -> -NaN1
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maxx185 max NaN2 NaN12 -> NaN2
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maxx186 max -NaN13 -NaN7 -> -NaN13
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maxx187 max NaN14 -NaN5 -> NaN14
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maxx188 max -Inf NaN4 -> -Infinity
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maxx189 max -9 -NaN3 -> -9
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maxx190 max Inf NaN2 -> Infinity
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maxx191 max sNaN99 -Inf -> NaN99 Invalid_operation
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maxx192 max sNaN98 -1 -> NaN98 Invalid_operation
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maxx193 max -sNaN97 NaN -> -NaN97 Invalid_operation
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maxx194 max sNaN96 sNaN94 -> NaN96 Invalid_operation
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maxx195 max NaN95 sNaN93 -> NaN93 Invalid_operation
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maxx196 max -Inf sNaN92 -> NaN92 Invalid_operation
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maxx197 max 0 sNaN91 -> NaN91 Invalid_operation
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maxx198 max Inf -sNaN90 -> -NaN90 Invalid_operation
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maxx199 max NaN sNaN89 -> NaN89 Invalid_operation
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-- rounding checks
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maxexponent: 999
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minexponent: -999
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precision: 9
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maxx201 max 12345678000 1 -> 1.23456780E+10 Rounded
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maxx202 max 1 12345678000 -> 1.23456780E+10 Rounded
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maxx203 max 1234567800 1 -> 1.23456780E+9 Rounded
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maxx204 max 1 1234567800 -> 1.23456780E+9 Rounded
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maxx205 max 1234567890 1 -> 1.23456789E+9 Rounded
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maxx206 max 1 1234567890 -> 1.23456789E+9 Rounded
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maxx207 max 1234567891 1 -> 1.23456789E+9 Inexact Rounded
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maxx208 max 1 1234567891 -> 1.23456789E+9 Inexact Rounded
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maxx209 max 12345678901 1 -> 1.23456789E+10 Inexact Rounded
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maxx210 max 1 12345678901 -> 1.23456789E+10 Inexact Rounded
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maxx211 max 1234567896 1 -> 1.23456790E+9 Inexact Rounded
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maxx212 max 1 1234567896 -> 1.23456790E+9 Inexact Rounded
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maxx213 max -1234567891 1 -> 1
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maxx214 max 1 -1234567891 -> 1
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maxx215 max -12345678901 1 -> 1
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maxx216 max 1 -12345678901 -> 1
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maxx217 max -1234567896 1 -> 1
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maxx218 max 1 -1234567896 -> 1
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precision: 15
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maxx221 max 12345678000 1 -> 12345678000
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maxx222 max 1 12345678000 -> 12345678000
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maxx223 max 1234567800 1 -> 1234567800
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maxx224 max 1 1234567800 -> 1234567800
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maxx225 max 1234567890 1 -> 1234567890
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maxx226 max 1 1234567890 -> 1234567890
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maxx227 max 1234567891 1 -> 1234567891
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maxx228 max 1 1234567891 -> 1234567891
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maxx229 max 12345678901 1 -> 12345678901
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maxx230 max 1 12345678901 -> 12345678901
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maxx231 max 1234567896 1 -> 1234567896
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maxx232 max 1 1234567896 -> 1234567896
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maxx233 max -1234567891 1 -> 1
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maxx234 max 1 -1234567891 -> 1
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maxx235 max -12345678901 1 -> 1
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maxx236 max 1 -12345678901 -> 1
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maxx237 max -1234567896 1 -> 1
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maxx238 max 1 -1234567896 -> 1
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-- from examples
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maxx280 max '3' '2' -> '3'
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maxx281 max '-10' '3' -> '3'
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maxx282 max '1.0' '1' -> '1'
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maxx283 max '1' '1.0' -> '1'
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maxx284 max '7' 'NaN' -> '7'
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-- overflow and underflow tests ...
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maxExponent: 999999999
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minexponent: -999999999
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maxx330 max +1.23456789012345E-0 9E+999999999 -> 9E+999999999
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maxx331 max 9E+999999999 +1.23456789012345E-0 -> 9E+999999999
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maxx332 max +0.100 9E-999999999 -> 0.100
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maxx333 max 9E-999999999 +0.100 -> 0.100
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maxx335 max -1.23456789012345E-0 9E+999999999 -> 9E+999999999
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maxx336 max 9E+999999999 -1.23456789012345E-0 -> 9E+999999999
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maxx337 max -0.100 9E-999999999 -> 9E-999999999
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maxx338 max 9E-999999999 -0.100 -> 9E-999999999
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maxx339 max 1e-599999999 1e-400000001 -> 1E-400000001
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maxx340 max 1e-599999999 1e-400000000 -> 1E-400000000
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maxx341 max 1e-600000000 1e-400000000 -> 1E-400000000
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maxx342 max 9e-999999998 0.01 -> 0.01
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maxx343 max 9e-999999998 0.1 -> 0.1
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maxx344 max 0.01 9e-999999998 -> 0.01
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maxx345 max 1e599999999 1e400000001 -> 1E+599999999
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maxx346 max 1e599999999 1e400000000 -> 1E+599999999
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maxx347 max 1e600000000 1e400000000 -> 1E+600000000
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maxx348 max 9e999999998 100 -> 9E+999999998
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maxx349 max 9e999999998 10 -> 9E+999999998
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maxx350 max 100 9e999999998 -> 9E+999999998
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-- signs
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maxx351 max 1e+777777777 1e+411111111 -> 1E+777777777
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maxx352 max 1e+777777777 -1e+411111111 -> 1E+777777777
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maxx353 max -1e+777777777 1e+411111111 -> 1E+411111111
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maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111
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maxx355 max 1e-777777777 1e-411111111 -> 1E-411111111
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maxx356 max 1e-777777777 -1e-411111111 -> 1E-777777777
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maxx357 max -1e-777777777 1e-411111111 -> 1E-411111111
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maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777
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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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maxx401 max Inf 1.1 -> Infinity
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maxx402 max 1.1 1 -> 1.1
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maxx403 max 1 1.0 -> 1
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maxx404 max 1.0 0.1 -> 1.0
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maxx405 max 0.1 0.10 -> 0.1
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maxx406 max 0.10 0.100 -> 0.10
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maxx407 max 0.10 0 -> 0.10
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maxx408 max 0 0.0 -> 0
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maxx409 max 0.0 -0 -> 0.0
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maxx410 max 0.0 -0.0 -> 0.0
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maxx411 max 0.00 -0.0 -> 0.00
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maxx412 max 0.0 -0.00 -> 0.0
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maxx413 max 0 -0.0 -> 0
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maxx414 max 0 -0 -> 0
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maxx415 max -0.0 -0 -> -0.0
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maxx416 max -0 -0.100 -> -0
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maxx417 max -0.100 -0.10 -> -0.100
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maxx418 max -0.10 -0.1 -> -0.10
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maxx419 max -0.1 -1.0 -> -0.1
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maxx420 max -1.0 -1 -> -1.0
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maxx421 max -1 -1.1 -> -1
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maxx423 max -1.1 -Inf -> -1.1
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-- same with operands reversed
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maxx431 max 1.1 Inf -> Infinity
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maxx432 max 1 1.1 -> 1.1
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maxx433 max 1.0 1 -> 1
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maxx434 max 0.1 1.0 -> 1.0
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maxx435 max 0.10 0.1 -> 0.1
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maxx436 max 0.100 0.10 -> 0.10
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maxx437 max 0 0.10 -> 0.10
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maxx438 max 0.0 0 -> 0
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maxx439 max -0 0.0 -> 0.0
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maxx440 max -0.0 0.0 -> 0.0
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maxx441 max -0.0 0.00 -> 0.00
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maxx442 max -0.00 0.0 -> 0.0
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maxx443 max -0.0 0 -> 0
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maxx444 max -0 0 -> 0
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maxx445 max -0 -0.0 -> -0.0
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maxx446 max -0.100 -0 -> -0
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maxx447 max -0.10 -0.100 -> -0.100
|
||
|
|
maxx448 max -0.1 -0.10 -> -0.10
|
||
|
|
maxx449 max -1.0 -0.1 -> -0.1
|
||
|
|
maxx450 max -1 -1.0 -> -1.0
|
||
|
|
maxx451 max -1.1 -1 -> -1
|
||
|
|
maxx453 max -Inf -1.1 -> -1.1
|
||
|
|
-- largies
|
||
|
|
maxx460 max 1000 1E+3 -> 1E+3
|
||
|
|
maxx461 max 1E+3 1000 -> 1E+3
|
||
|
|
maxx462 max 1000 -1E+3 -> 1000
|
||
|
|
maxx463 max 1E+3 -1000 -> 1E+3
|
||
|
|
maxx464 max -1000 1E+3 -> 1E+3
|
||
|
|
maxx465 max -1E+3 1000 -> 1000
|
||
|
|
maxx466 max -1000 -1E+3 -> -1000
|
||
|
|
maxx467 max -1E+3 -1000 -> -1000
|
||
|
|
|
||
|
|
-- rounding (results treated as though plus)
|
||
|
|
maxexponent: 999999999
|
||
|
|
minexponent: -999999999
|
||
|
|
precision: 3
|
||
|
|
|
||
|
|
maxx470 max 1 .5 -> 1
|
||
|
|
maxx471 max 10 5 -> 10
|
||
|
|
maxx472 max 100 50 -> 100
|
||
|
|
maxx473 max 1000 500 -> 1.00E+3 Rounded
|
||
|
|
maxx474 max 10000 5000 -> 1.00E+4 Rounded
|
||
|
|
maxx475 max 6 .5 -> 6
|
||
|
|
maxx476 max 66 5 -> 66
|
||
|
|
maxx477 max 666 50 -> 666
|
||
|
|
maxx478 max 6666 500 -> 6.67E+3 Rounded Inexact
|
||
|
|
maxx479 max 66666 5000 -> 6.67E+4 Rounded Inexact
|
||
|
|
maxx480 max 33333 5000 -> 3.33E+4 Rounded Inexact
|
||
|
|
maxx481 max .5 1 -> 1
|
||
|
|
maxx482 max .5 10 -> 10
|
||
|
|
maxx483 max .5 100 -> 100
|
||
|
|
maxx484 max .5 1000 -> 1.00E+3 Rounded
|
||
|
|
maxx485 max .5 10000 -> 1.00E+4 Rounded
|
||
|
|
maxx486 max .5 6 -> 6
|
||
|
|
maxx487 max .5 66 -> 66
|
||
|
|
maxx488 max .5 666 -> 666
|
||
|
|
maxx489 max .5 6666 -> 6.67E+3 Rounded Inexact
|
||
|
|
maxx490 max .5 66666 -> 6.67E+4 Rounded Inexact
|
||
|
|
maxx491 max .5 33333 -> 3.33E+4 Rounded Inexact
|
||
|
|
|
||
|
|
-- overflow tests
|
||
|
|
maxexponent: 999999999
|
||
|
|
minexponent: -999999999
|
||
|
|
precision: 3
|
||
|
|
maxx500 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
|
||
|
|
maxx501 max -9.999E+999999999 0 -> 0
|
||
|
|
|
||
|
|
-- subnormals and underflow
|
||
|
|
precision: 3
|
||
|
|
maxexponent: 999
|
||
|
|
minexponent: -999
|
||
|
|
maxx510 max 1.00E-999 0 -> 1.00E-999
|
||
|
|
maxx511 max 0.1E-999 0 -> 1E-1000 Subnormal
|
||
|
|
maxx512 max 0.10E-999 0 -> 1.0E-1000 Subnormal
|
||
|
|
maxx513 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
|
||
|
|
maxx514 max 0.01E-999 0 -> 1E-1001 Subnormal
|
||
|
|
-- next is rounded to Nmin
|
||
|
|
maxx515 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
|
||
|
|
maxx516 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
||
|
|
maxx517 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
|
||
|
|
maxx518 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
||
|
|
maxx519 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
||
|
|
maxx520 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
||
|
|
|
||
|
|
maxx530 max -1.00E-999 0 -> 0
|
||
|
|
maxx531 max -0.1E-999 0 -> 0
|
||
|
|
maxx532 max -0.10E-999 0 -> 0
|
||
|
|
maxx533 max -0.100E-999 0 -> 0
|
||
|
|
maxx534 max -0.01E-999 0 -> 0
|
||
|
|
maxx535 max -0.999E-999 0 -> 0
|
||
|
|
maxx536 max -0.099E-999 0 -> 0
|
||
|
|
maxx537 max -0.009E-999 0 -> 0
|
||
|
|
maxx538 max -0.001E-999 0 -> 0
|
||
|
|
maxx539 max -0.0009E-999 0 -> 0
|
||
|
|
maxx540 max -0.0001E-999 0 -> 0
|
||
|
|
|
||
|
|
-- misalignment traps for little-endian
|
||
|
|
precision: 9
|
||
|
|
maxx551 max 1.0 0.1 -> 1.0
|
||
|
|
maxx552 max 0.1 1.0 -> 1.0
|
||
|
|
maxx553 max 10.0 0.1 -> 10.0
|
||
|
|
maxx554 max 0.1 10.0 -> 10.0
|
||
|
|
maxx555 max 100 1.0 -> 100
|
||
|
|
maxx556 max 1.0 100 -> 100
|
||
|
|
maxx557 max 1000 10.0 -> 1000
|
||
|
|
maxx558 max 10.0 1000 -> 1000
|
||
|
|
maxx559 max 10000 100.0 -> 10000
|
||
|
|
maxx560 max 100.0 10000 -> 10000
|
||
|
|
maxx661 max 100000 1000.0 -> 100000
|
||
|
|
maxx662 max 1000.0 100000 -> 100000
|
||
|
|
maxx663 max 1000000 10000.0 -> 1000000
|
||
|
|
maxx664 max 10000.0 1000000 -> 1000000
|
||
|
|
|
||
|
|
-- payload decapitate
|
||
|
|
precision: 5
|
||
|
|
maxx670 max 11 -sNaN12345678901 -> -NaN78901 Invalid_operation
|
||
|
|
|
||
|
|
-- Null tests
|
||
|
|
maxx900 max 10 # -> NaN Invalid_operation
|
||
|
|
maxx901 max # 10 -> NaN Invalid_operation
|
||
|
|
|
||
|
|
|
||
|
|
|