2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- minmag.decTest -- decimal minimum by magnitude --
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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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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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mngx001 minmag -2 -2 -> -2
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mngx002 minmag -2 -1 -> -1
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mngx003 minmag -2 0 -> 0
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mngx004 minmag -2 1 -> 1
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mngx005 minmag -2 2 -> -2
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mngx006 minmag -1 -2 -> -1
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mngx007 minmag -1 -1 -> -1
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mngx008 minmag -1 0 -> 0
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mngx009 minmag -1 1 -> -1
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mngx010 minmag -1 2 -> -1
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mngx011 minmag 0 -2 -> 0
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mngx012 minmag 0 -1 -> 0
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mngx013 minmag 0 0 -> 0
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mngx014 minmag 0 1 -> 0
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mngx015 minmag 0 2 -> 0
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mngx016 minmag 1 -2 -> 1
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mngx017 minmag 1 -1 -> -1
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mngx018 minmag 1 0 -> 0
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mngx019 minmag 1 1 -> 1
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mngx020 minmag 1 2 -> 1
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mngx021 minmag 2 -2 -> -2
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mngx022 minmag 2 -1 -> -1
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mngx023 minmag 2 0 -> 0
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mngx025 minmag 2 1 -> 1
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mngx026 minmag 2 2 -> 2
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-- extended zeros
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mngx030 minmag 0 0 -> 0
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mngx031 minmag 0 -0 -> -0
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mngx032 minmag 0 -0.0 -> -0.0
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mngx033 minmag 0 0.0 -> 0.0
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mngx034 minmag -0 0 -> -0
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mngx035 minmag -0 -0 -> -0
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mngx036 minmag -0 -0.0 -> -0
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mngx037 minmag -0 0.0 -> -0
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mngx038 minmag 0.0 0 -> 0.0
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mngx039 minmag 0.0 -0 -> -0
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mngx040 minmag 0.0 -0.0 -> -0.0
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mngx041 minmag 0.0 0.0 -> 0.0
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mngx042 minmag -0.0 0 -> -0.0
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mngx043 minmag -0.0 -0 -> -0
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mngx044 minmag -0.0 -0.0 -> -0.0
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mngx045 minmag -0.0 0.0 -> -0.0
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mngx046 minmag 0E1 -0E1 -> -0E+1
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mngx047 minmag -0E1 0E2 -> -0E+1
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mngx048 minmag 0E2 0E1 -> 0E+1
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mngx049 minmag 0E1 0E2 -> 0E+1
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mngx050 minmag -0E3 -0E2 -> -0E+3
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mngx051 minmag -0E2 -0E3 -> -0E+3
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-- Specials
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precision: 9
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mngx090 minmag Inf -Inf -> -Infinity
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mngx091 minmag Inf -1000 -> -1000
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mngx092 minmag Inf -1 -> -1
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mngx093 minmag Inf -0 -> -0
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mngx094 minmag Inf 0 -> 0
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mngx095 minmag Inf 1 -> 1
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mngx096 minmag Inf 1000 -> 1000
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mngx097 minmag Inf Inf -> Infinity
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mngx098 minmag -1000 Inf -> -1000
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mngx099 minmag -Inf Inf -> -Infinity
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mngx100 minmag -1 Inf -> -1
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mngx101 minmag -0 Inf -> -0
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mngx102 minmag 0 Inf -> 0
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mngx103 minmag 1 Inf -> 1
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mngx104 minmag 1000 Inf -> 1000
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mngx105 minmag Inf Inf -> Infinity
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mngx120 minmag -Inf -Inf -> -Infinity
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mngx121 minmag -Inf -1000 -> -1000
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mngx122 minmag -Inf -1 -> -1
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mngx123 minmag -Inf -0 -> -0
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mngx124 minmag -Inf 0 -> 0
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mngx125 minmag -Inf 1 -> 1
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mngx126 minmag -Inf 1000 -> 1000
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mngx127 minmag -Inf Inf -> -Infinity
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mngx128 minmag -Inf -Inf -> -Infinity
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mngx129 minmag -1000 -Inf -> -1000
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mngx130 minmag -1 -Inf -> -1
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mngx131 minmag -0 -Inf -> -0
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mngx132 minmag 0 -Inf -> 0
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mngx133 minmag 1 -Inf -> 1
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mngx134 minmag 1000 -Inf -> 1000
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mngx135 minmag Inf -Inf -> -Infinity
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-- 2004.08.02 754r chooses number over NaN in mixed cases
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mngx141 minmag NaN -Inf -> -Infinity
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mngx142 minmag NaN -1000 -> -1000
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mngx143 minmag NaN -1 -> -1
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mngx144 minmag NaN -0 -> -0
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mngx145 minmag NaN 0 -> 0
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mngx146 minmag NaN 1 -> 1
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mngx147 minmag NaN 1000 -> 1000
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mngx148 minmag NaN Inf -> Infinity
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mngx149 minmag NaN NaN -> NaN
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mngx150 minmag -Inf NaN -> -Infinity
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mngx151 minmag -1000 NaN -> -1000
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mngx152 minmag -1 -NaN -> -1
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mngx153 minmag -0 NaN -> -0
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mngx154 minmag 0 -NaN -> 0
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mngx155 minmag 1 NaN -> 1
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mngx156 minmag 1000 NaN -> 1000
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mngx157 minmag Inf NaN -> Infinity
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mngx161 minmag sNaN -Inf -> NaN Invalid_operation
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mngx162 minmag sNaN -1000 -> NaN Invalid_operation
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mngx163 minmag sNaN -1 -> NaN Invalid_operation
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mngx164 minmag sNaN -0 -> NaN Invalid_operation
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mngx165 minmag -sNaN 0 -> -NaN Invalid_operation
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mngx166 minmag -sNaN 1 -> -NaN Invalid_operation
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mngx167 minmag sNaN 1000 -> NaN Invalid_operation
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mngx168 minmag sNaN NaN -> NaN Invalid_operation
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mngx169 minmag sNaN sNaN -> NaN Invalid_operation
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mngx170 minmag NaN sNaN -> NaN Invalid_operation
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mngx171 minmag -Inf sNaN -> NaN Invalid_operation
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mngx172 minmag -1000 sNaN -> NaN Invalid_operation
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mngx173 minmag -1 sNaN -> NaN Invalid_operation
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mngx174 minmag -0 sNaN -> NaN Invalid_operation
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mngx175 minmag 0 sNaN -> NaN Invalid_operation
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mngx176 minmag 1 sNaN -> NaN Invalid_operation
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mngx177 minmag 1000 sNaN -> NaN Invalid_operation
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mngx178 minmag Inf sNaN -> NaN Invalid_operation
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mngx179 minmag NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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mngx181 minmag NaN9 -Inf -> -Infinity
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mngx182 minmag -NaN8 9990 -> 9990
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mngx183 minmag NaN71 Inf -> Infinity
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mngx184 minmag NaN1 NaN54 -> NaN1
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mngx185 minmag NaN22 -NaN53 -> NaN22
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mngx186 minmag -NaN3 NaN6 -> -NaN3
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mngx187 minmag -NaN44 NaN7 -> -NaN44
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mngx188 minmag -Inf NaN41 -> -Infinity
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mngx189 minmag -9999 -NaN33 -> -9999
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mngx190 minmag Inf NaN2 -> Infinity
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mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation
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mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation
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mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation
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mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation
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mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation
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mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation
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mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation
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mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation
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mngx199 minmag NaN sNaN86 -> NaN86 Invalid_operation
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-- rounding checks -- chosen is rounded, or not
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maxExponent: 999
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minexponent: -999
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precision: 9
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mngx201 minmag -12345678000 1 -> 1
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mngx202 minmag 1 -12345678000 -> 1
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mngx203 minmag -1234567800 1 -> 1
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mngx204 minmag 1 -1234567800 -> 1
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mngx205 minmag -1234567890 1 -> 1
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mngx206 minmag 1 -1234567890 -> 1
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mngx207 minmag -1234567891 1 -> 1
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mngx208 minmag 1 -1234567891 -> 1
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mngx209 minmag -12345678901 1 -> 1
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mngx210 minmag 1 -12345678901 -> 1
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mngx211 minmag -1234567896 1 -> 1
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mngx212 minmag 1 -1234567896 -> 1
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mngx213 minmag 1234567891 1 -> 1
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mngx214 minmag 1 1234567891 -> 1
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mngx215 minmag 12345678901 1 -> 1
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mngx216 minmag 1 12345678901 -> 1
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mngx217 minmag 1234567896 1 -> 1
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mngx218 minmag 1 1234567896 -> 1
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precision: 15
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mngx221 minmag -12345678000 1 -> 1
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mngx222 minmag 1 -12345678000 -> 1
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mngx223 minmag -1234567800 1 -> 1
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mngx224 minmag 1 -1234567800 -> 1
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mngx225 minmag -1234567890 1 -> 1
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mngx226 minmag 1 -1234567890 -> 1
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mngx227 minmag -1234567891 1 -> 1
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mngx228 minmag 1 -1234567891 -> 1
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mngx229 minmag -12345678901 1 -> 1
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mngx230 minmag 1 -12345678901 -> 1
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mngx231 minmag -1234567896 1 -> 1
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mngx232 minmag 1 -1234567896 -> 1
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mngx233 minmag 1234567891 1 -> 1
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mngx234 minmag 1 1234567891 -> 1
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mngx235 minmag 12345678901 1 -> 1
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mngx236 minmag 1 12345678901 -> 1
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mngx237 minmag 1234567896 1 -> 1
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mngx238 minmag 1 1234567896 -> 1
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-- from examples
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mngx280 minmag '3' '2' -> '2'
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mngx281 minmag '-10' '3' -> '3'
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mngx282 minmag '1.0' '1' -> '1.0'
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mngx283 minmag '1' '1.0' -> '1.0'
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mngx284 minmag '7' 'NaN' -> '7'
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-- overflow and underflow tests .. subnormal results [inputs] now allowed
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maxExponent: 999999999
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minexponent: -999999999
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mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345
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mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345
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mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999
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mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999
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mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345
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mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345
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mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999
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mngx338 minmag -9E-999999999 0.100 -> -9E-999999999
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mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999
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mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999
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mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000
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mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998
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mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998
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mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998
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mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001
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mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000
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mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000
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mngx348 minmag -9e999999998 -100 -> -100
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mngx349 minmag -9e999999998 -10 -> -10
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mngx350 minmag -100 -9e999999998 -> -100
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-- signs
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mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111
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mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111
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mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111
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mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111
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mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777
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mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777
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mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777
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mngx358 minmag +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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mngx401 minmag Inf 1.1 -> 1.1
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mngx402 minmag 1.1 1 -> 1
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mngx403 minmag 1 1.0 -> 1.0
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mngx404 minmag 1.0 0.1 -> 0.1
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mngx405 minmag 0.1 0.10 -> 0.10
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mngx406 minmag 0.10 0.100 -> 0.100
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mngx407 minmag 0.10 0 -> 0
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mngx408 minmag 0 0.0 -> 0.0
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mngx409 minmag 0.0 -0 -> -0
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mngx410 minmag 0.0 -0.0 -> -0.0
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mngx411 minmag 0.00 -0.0 -> -0.0
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mngx412 minmag 0.0 -0.00 -> -0.00
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mngx413 minmag 0 -0.0 -> -0.0
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mngx414 minmag 0 -0 -> -0
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mngx415 minmag -0.0 -0 -> -0
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mngx416 minmag -0 -0.100 -> -0
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mngx417 minmag -0.100 -0.10 -> -0.10
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mngx418 minmag -0.10 -0.1 -> -0.1
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mngx419 minmag -0.1 -1.0 -> -0.1
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mngx420 minmag -1.0 -1 -> -1
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mngx421 minmag -1 -1.1 -> -1
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mngx423 minmag -1.1 -Inf -> -1.1
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-- same with operands reversed
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mngx431 minmag 1.1 Inf -> 1.1
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mngx432 minmag 1 1.1 -> 1
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mngx433 minmag 1.0 1 -> 1.0
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mngx434 minmag 0.1 1.0 -> 0.1
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mngx435 minmag 0.10 0.1 -> 0.10
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mngx436 minmag 0.100 0.10 -> 0.100
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mngx437 minmag 0 0.10 -> 0
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mngx438 minmag 0.0 0 -> 0.0
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mngx439 minmag -0 0.0 -> -0
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mngx440 minmag -0.0 0.0 -> -0.0
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mngx441 minmag -0.0 0.00 -> -0.0
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mngx442 minmag -0.00 0.0 -> -0.00
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mngx443 minmag -0.0 0 -> -0.0
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mngx444 minmag -0 0 -> -0
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mngx445 minmag -0 -0.0 -> -0
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mngx446 minmag -0.100 -0 -> -0
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mngx447 minmag -0.10 -0.100 -> -0.10
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mngx448 minmag -0.1 -0.10 -> -0.1
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mngx449 minmag -1.0 -0.1 -> -0.1
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mngx450 minmag -1 -1.0 -> -1
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mngx451 minmag -1.1 -1 -> -1
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mngx453 minmag -Inf -1.1 -> -1.1
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-- largies
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mngx460 minmag 1000 1E+3 -> 1000
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mngx461 minmag 1E+3 1000 -> 1000
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mngx462 minmag 1000 -1E+3 -> -1E+3
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mngx463 minmag 1E+3 -1000 -> -1000
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mngx464 minmag -1000 1E+3 -> -1000
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mngx465 minmag -1E+3 1000 -> -1E+3
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mngx466 minmag -1000 -1E+3 -> -1E+3
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mngx467 minmag -1E+3 -1000 -> -1E+3
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-- rounding (results treated as though plus)
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maxexponent: 999999999
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minexponent: -999999999
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precision: 3
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mngx470 minmag 1 5 -> 1
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mngx471 minmag 10 50 -> 10
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mngx472 minmag 100 500 -> 100
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mngx473 minmag 1000 5000 -> 1.00E+3 Rounded
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mngx474 minmag 10000 50000 -> 1.00E+4 Rounded
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mngx475 minmag 6 50 -> 6
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mngx476 minmag 66 500 -> 66
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mngx477 minmag 666 5000 -> 666
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mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact
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mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact
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mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact
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mngx481 minmag 75401 1 -> 1
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mngx482 minmag 75402 10 -> 10
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mngx483 minmag 75403 100 -> 100
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mngx484 minmag 75404 1000 -> 1.00E+3 Rounded
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mngx485 minmag 75405 10000 -> 1.00E+4 Rounded
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mngx486 minmag 75406 6 -> 6
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mngx487 minmag 75407 66 -> 66
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mngx488 minmag 75408 666 -> 666
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mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact
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mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact
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mngx491 minmag 75411 33333 -> 3.33E+4 Rounded Inexact
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-- overflow tests
|
|
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|
|
maxexponent: 999999999
|
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|
|
minexponent: -999999999
|
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precision: 3
|
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mngx500 minmag 9.999E+999999999 0 -> 0
|
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mngx501 minmag -9.999E+999999999 0 -> 0
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|
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|
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-- subnormals and underflow
|
|
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|
|
precision: 3
|
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|
maxexponent: 999
|
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minexponent: -999
|
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mngx510 minmag 1.00E-999 0 -> 0
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mngx511 minmag 0.1E-999 0 -> 0
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mngx512 minmag 0.10E-999 0 -> 0
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mngx513 minmag 0.100E-999 0 -> 0
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mngx514 minmag 0.01E-999 0 -> 0
|
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mngx515 minmag 0.999E-999 0 -> 0
|
|
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mngx516 minmag 0.099E-999 0 -> 0
|
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mngx517 minmag 0.009E-999 0 -> 0
|
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mngx518 minmag 0.001E-999 0 -> 0
|
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mngx519 minmag 0.0009E-999 0 -> 0
|
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|
mngx520 minmag 0.0001E-999 0 -> 0
|
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|
|
|
|
|
|
|
|
mngx530 minmag -1.00E-999 0 -> 0
|
|
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|
|
mngx531 minmag -0.1E-999 0 -> 0
|
|
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|
|
mngx532 minmag -0.10E-999 0 -> 0
|
|
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|
mngx533 minmag -0.100E-999 0 -> 0
|
|
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|
mngx534 minmag -0.01E-999 0 -> 0
|
|
|
|
|
mngx535 minmag -0.999E-999 0 -> 0
|
|
|
|
|
mngx536 minmag -0.099E-999 0 -> 0
|
|
|
|
|
mngx537 minmag -0.009E-999 0 -> 0
|
|
|
|
|
mngx538 minmag -0.001E-999 0 -> 0
|
|
|
|
|
mngx539 minmag -0.0009E-999 0 -> 0
|
|
|
|
|
mngx540 minmag -0.0001E-999 0 -> 0
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-- Null tests
|
|
|
|
|
mng900 minmag 10 # -> NaN Invalid_operation
|
|
|
|
|
mng901 minmag # 10 -> NaN Invalid_operation
|
