2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- ddMin.decTest -- decDouble minnum --
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2008-07-27 03:39:07 -03:00
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-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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2007-09-13 15:13:15 -03:00
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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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2009-10-08 13:28:39 -03:00
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version: 2.59
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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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ddmin001 min -2 -2 -> -2
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ddmin002 min -2 -1 -> -2
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ddmin003 min -2 0 -> -2
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ddmin004 min -2 1 -> -2
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ddmin005 min -2 2 -> -2
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ddmin006 min -1 -2 -> -2
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ddmin007 min -1 -1 -> -1
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ddmin008 min -1 0 -> -1
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ddmin009 min -1 1 -> -1
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ddmin010 min -1 2 -> -1
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ddmin011 min 0 -2 -> -2
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ddmin012 min 0 -1 -> -1
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ddmin013 min 0 0 -> 0
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ddmin014 min 0 1 -> 0
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ddmin015 min 0 2 -> 0
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ddmin016 min 1 -2 -> -2
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ddmin017 min 1 -1 -> -1
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ddmin018 min 1 0 -> 0
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ddmin019 min 1 1 -> 1
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ddmin020 min 1 2 -> 1
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ddmin021 min 2 -2 -> -2
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ddmin022 min 2 -1 -> -1
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ddmin023 min 2 0 -> 0
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ddmin025 min 2 1 -> 1
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ddmin026 min 2 2 -> 2
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-- extended zeros
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ddmin030 min 0 0 -> 0
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ddmin031 min 0 -0 -> -0
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ddmin032 min 0 -0.0 -> -0.0
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ddmin033 min 0 0.0 -> 0.0
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ddmin034 min -0 0 -> -0
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ddmin035 min -0 -0 -> -0
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ddmin036 min -0 -0.0 -> -0
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ddmin037 min -0 0.0 -> -0
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ddmin038 min 0.0 0 -> 0.0
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ddmin039 min 0.0 -0 -> -0
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ddmin040 min 0.0 -0.0 -> -0.0
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ddmin041 min 0.0 0.0 -> 0.0
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ddmin042 min -0.0 0 -> -0.0
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ddmin043 min -0.0 -0 -> -0
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ddmin044 min -0.0 -0.0 -> -0.0
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ddmin045 min -0.0 0.0 -> -0.0
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ddmin046 min 0E1 -0E1 -> -0E+1
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ddmin047 min -0E1 0E2 -> -0E+1
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ddmin048 min 0E2 0E1 -> 0E+1
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ddmin049 min 0E1 0E2 -> 0E+1
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ddmin050 min -0E3 -0E2 -> -0E+3
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ddmin051 min -0E2 -0E3 -> -0E+3
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-- Specials
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ddmin090 min Inf -Inf -> -Infinity
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ddmin091 min Inf -1000 -> -1000
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ddmin092 min Inf -1 -> -1
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ddmin093 min Inf -0 -> -0
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ddmin094 min Inf 0 -> 0
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ddmin095 min Inf 1 -> 1
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ddmin096 min Inf 1000 -> 1000
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ddmin097 min Inf Inf -> Infinity
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ddmin098 min -1000 Inf -> -1000
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ddmin099 min -Inf Inf -> -Infinity
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ddmin100 min -1 Inf -> -1
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ddmin101 min -0 Inf -> -0
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ddmin102 min 0 Inf -> 0
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ddmin103 min 1 Inf -> 1
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ddmin104 min 1000 Inf -> 1000
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ddmin105 min Inf Inf -> Infinity
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ddmin120 min -Inf -Inf -> -Infinity
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ddmin121 min -Inf -1000 -> -Infinity
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ddmin122 min -Inf -1 -> -Infinity
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ddmin123 min -Inf -0 -> -Infinity
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ddmin124 min -Inf 0 -> -Infinity
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ddmin125 min -Inf 1 -> -Infinity
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ddmin126 min -Inf 1000 -> -Infinity
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ddmin127 min -Inf Inf -> -Infinity
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ddmin128 min -Inf -Inf -> -Infinity
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ddmin129 min -1000 -Inf -> -Infinity
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ddmin130 min -1 -Inf -> -Infinity
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ddmin131 min -0 -Inf -> -Infinity
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ddmin132 min 0 -Inf -> -Infinity
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ddmin133 min 1 -Inf -> -Infinity
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ddmin134 min 1000 -Inf -> -Infinity
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ddmin135 min Inf -Inf -> -Infinity
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-- 2004.08.02 754r chooses number over NaN in mixed cases
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ddmin141 min NaN -Inf -> -Infinity
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ddmin142 min NaN -1000 -> -1000
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ddmin143 min NaN -1 -> -1
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ddmin144 min NaN -0 -> -0
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ddmin145 min NaN 0 -> 0
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ddmin146 min NaN 1 -> 1
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ddmin147 min NaN 1000 -> 1000
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ddmin148 min NaN Inf -> Infinity
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ddmin149 min NaN NaN -> NaN
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ddmin150 min -Inf NaN -> -Infinity
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ddmin151 min -1000 NaN -> -1000
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ddmin152 min -1 -NaN -> -1
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ddmin153 min -0 NaN -> -0
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ddmin154 min 0 -NaN -> 0
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ddmin155 min 1 NaN -> 1
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ddmin156 min 1000 NaN -> 1000
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ddmin157 min Inf NaN -> Infinity
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ddmin161 min sNaN -Inf -> NaN Invalid_operation
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ddmin162 min sNaN -1000 -> NaN Invalid_operation
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ddmin163 min sNaN -1 -> NaN Invalid_operation
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ddmin164 min sNaN -0 -> NaN Invalid_operation
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ddmin165 min -sNaN 0 -> -NaN Invalid_operation
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ddmin166 min -sNaN 1 -> -NaN Invalid_operation
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ddmin167 min sNaN 1000 -> NaN Invalid_operation
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ddmin168 min sNaN NaN -> NaN Invalid_operation
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ddmin169 min sNaN sNaN -> NaN Invalid_operation
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ddmin170 min NaN sNaN -> NaN Invalid_operation
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ddmin171 min -Inf sNaN -> NaN Invalid_operation
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ddmin172 min -1000 sNaN -> NaN Invalid_operation
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ddmin173 min -1 sNaN -> NaN Invalid_operation
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ddmin174 min -0 sNaN -> NaN Invalid_operation
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ddmin175 min 0 sNaN -> NaN Invalid_operation
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ddmin176 min 1 sNaN -> NaN Invalid_operation
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ddmin177 min 1000 sNaN -> NaN Invalid_operation
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ddmin178 min Inf sNaN -> NaN Invalid_operation
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ddmin179 min NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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ddmin181 min NaN9 -Inf -> -Infinity
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ddmin182 min -NaN8 9990 -> 9990
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ddmin183 min NaN71 Inf -> Infinity
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ddmin184 min NaN1 NaN54 -> NaN1
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ddmin185 min NaN22 -NaN53 -> NaN22
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ddmin186 min -NaN3 NaN6 -> -NaN3
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ddmin187 min -NaN44 NaN7 -> -NaN44
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ddmin188 min -Inf NaN41 -> -Infinity
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ddmin189 min -9999 -NaN33 -> -9999
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ddmin190 min Inf NaN2 -> Infinity
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ddmin191 min sNaN99 -Inf -> NaN99 Invalid_operation
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ddmin192 min sNaN98 -11 -> NaN98 Invalid_operation
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ddmin193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation
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ddmin194 min sNaN69 sNaN94 -> NaN69 Invalid_operation
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ddmin195 min NaN95 sNaN93 -> NaN93 Invalid_operation
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ddmin196 min -Inf sNaN92 -> NaN92 Invalid_operation
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ddmin197 min 088 sNaN91 -> NaN91 Invalid_operation
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ddmin198 min Inf -sNaN90 -> -NaN90 Invalid_operation
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ddmin199 min NaN sNaN86 -> NaN86 Invalid_operation
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-- old rounding checks
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ddmin221 min -12345678000 1 -> -12345678000
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ddmin222 min 1 -12345678000 -> -12345678000
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ddmin223 min -1234567800 1 -> -1234567800
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ddmin224 min 1 -1234567800 -> -1234567800
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ddmin225 min -1234567890 1 -> -1234567890
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ddmin226 min 1 -1234567890 -> -1234567890
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ddmin227 min -1234567891 1 -> -1234567891
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ddmin228 min 1 -1234567891 -> -1234567891
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ddmin229 min -12345678901 1 -> -12345678901
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ddmin230 min 1 -12345678901 -> -12345678901
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ddmin231 min -1234567896 1 -> -1234567896
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ddmin232 min 1 -1234567896 -> -1234567896
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ddmin233 min 1234567891 1 -> 1
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ddmin234 min 1 1234567891 -> 1
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ddmin235 min 12345678901 1 -> 1
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ddmin236 min 1 12345678901 -> 1
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ddmin237 min 1234567896 1 -> 1
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ddmin238 min 1 1234567896 -> 1
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-- from examples
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ddmin280 min '3' '2' -> '2'
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ddmin281 min '-10' '3' -> '-10'
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ddmin282 min '1.0' '1' -> '1.0'
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ddmin283 min '1' '1.0' -> '1.0'
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ddmin284 min '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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ddmin401 min Inf 1.1 -> 1.1
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ddmin402 min 1.1 1 -> 1
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ddmin403 min 1 1.0 -> 1.0
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ddmin404 min 1.0 0.1 -> 0.1
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ddmin405 min 0.1 0.10 -> 0.10
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ddmin406 min 0.10 0.100 -> 0.100
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ddmin407 min 0.10 0 -> 0
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ddmin408 min 0 0.0 -> 0.0
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ddmin409 min 0.0 -0 -> -0
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ddmin410 min 0.0 -0.0 -> -0.0
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ddmin411 min 0.00 -0.0 -> -0.0
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ddmin412 min 0.0 -0.00 -> -0.00
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ddmin413 min 0 -0.0 -> -0.0
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ddmin414 min 0 -0 -> -0
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ddmin415 min -0.0 -0 -> -0
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ddmin416 min -0 -0.100 -> -0.100
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ddmin417 min -0.100 -0.10 -> -0.10
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ddmin418 min -0.10 -0.1 -> -0.1
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ddmin419 min -0.1 -1.0 -> -1.0
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ddmin420 min -1.0 -1 -> -1
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ddmin421 min -1 -1.1 -> -1.1
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ddmin423 min -1.1 -Inf -> -Infinity
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-- same with operands reversed
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ddmin431 min 1.1 Inf -> 1.1
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ddmin432 min 1 1.1 -> 1
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ddmin433 min 1.0 1 -> 1.0
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ddmin434 min 0.1 1.0 -> 0.1
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ddmin435 min 0.10 0.1 -> 0.10
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ddmin436 min 0.100 0.10 -> 0.100
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ddmin437 min 0 0.10 -> 0
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ddmin438 min 0.0 0 -> 0.0
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ddmin439 min -0 0.0 -> -0
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ddmin440 min -0.0 0.0 -> -0.0
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ddmin441 min -0.0 0.00 -> -0.0
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ddmin442 min -0.00 0.0 -> -0.00
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ddmin443 min -0.0 0 -> -0.0
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ddmin444 min -0 0 -> -0
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ddmin445 min -0 -0.0 -> -0
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ddmin446 min -0.100 -0 -> -0.100
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ddmin447 min -0.10 -0.100 -> -0.10
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ddmin448 min -0.1 -0.10 -> -0.1
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ddmin449 min -1.0 -0.1 -> -1.0
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ddmin450 min -1 -1.0 -> -1
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ddmin451 min -1.1 -1 -> -1.1
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ddmin453 min -Inf -1.1 -> -Infinity
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-- largies
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ddmin460 min 1000 1E+3 -> 1000
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ddmin461 min 1E+3 1000 -> 1000
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ddmin462 min 1000 -1E+3 -> -1E+3
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ddmin463 min 1E+3 -384 -> -384
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ddmin464 min -384 1E+3 -> -384
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ddmin465 min -1E+3 1000 -> -1E+3
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ddmin466 min -384 -1E+3 -> -1E+3
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ddmin467 min -1E+3 -384 -> -1E+3
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-- misalignment traps for little-endian
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ddmin471 min 1.0 0.1 -> 0.1
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ddmin472 min 0.1 1.0 -> 0.1
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ddmin473 min 10.0 0.1 -> 0.1
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ddmin474 min 0.1 10.0 -> 0.1
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ddmin475 min 100 1.0 -> 1.0
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ddmin476 min 1.0 100 -> 1.0
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ddmin477 min 1000 10.0 -> 10.0
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ddmin478 min 10.0 1000 -> 10.0
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ddmin479 min 10000 100.0 -> 100.0
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ddmin480 min 100.0 10000 -> 100.0
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ddmin481 min 100000 1000.0 -> 1000.0
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ddmin482 min 1000.0 100000 -> 1000.0
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ddmin483 min 1000000 10000.0 -> 10000.0
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ddmin484 min 10000.0 1000000 -> 10000.0
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-- subnormals
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ddmin510 min 1.00E-383 0 -> 0
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ddmin511 min 0.1E-383 0 -> 0
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ddmin512 min 0.10E-383 0 -> 0
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ddmin513 min 0.100E-383 0 -> 0
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ddmin514 min 0.01E-383 0 -> 0
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ddmin515 min 0.999E-383 0 -> 0
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ddmin516 min 0.099E-383 0 -> 0
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ddmin517 min 0.009E-383 0 -> 0
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ddmin518 min 0.001E-383 0 -> 0
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ddmin519 min 0.0009E-383 0 -> 0
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ddmin520 min 0.0001E-383 0 -> 0
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ddmin530 min -1.00E-383 0 -> -1.00E-383
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ddmin531 min -0.1E-383 0 -> -1E-384 Subnormal
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ddmin532 min -0.10E-383 0 -> -1.0E-384 Subnormal
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ddmin533 min -0.100E-383 0 -> -1.00E-384 Subnormal
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ddmin534 min -0.01E-383 0 -> -1E-385 Subnormal
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ddmin535 min -0.999E-383 0 -> -9.99E-384 Subnormal
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ddmin536 min -0.099E-383 0 -> -9.9E-385 Subnormal
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ddmin537 min -0.009E-383 0 -> -9E-386 Subnormal
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ddmin538 min -0.001E-383 0 -> -1E-386 Subnormal
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ddmin539 min -0.0009E-383 0 -> -9E-387 Subnormal
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ddmin540 min -0.0001E-383 0 -> -1E-387 Subnormal
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-- Null tests
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ddmin900 min 10 # -> NaN Invalid_operation
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ddmin901 min # 10 -> NaN Invalid_operation
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