408 lines
15 KiB
Plaintext
408 lines
15 KiB
Plaintext
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------------------------------------------------------------------------
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-- min.decTest -- decimal minimum --
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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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version: 2.57
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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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mnmx001 min -2 -2 -> -2
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mnmx002 min -2 -1 -> -2
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mnmx003 min -2 0 -> -2
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mnmx004 min -2 1 -> -2
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mnmx005 min -2 2 -> -2
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mnmx006 min -1 -2 -> -2
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mnmx007 min -1 -1 -> -1
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mnmx008 min -1 0 -> -1
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mnmx009 min -1 1 -> -1
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mnmx010 min -1 2 -> -1
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mnmx011 min 0 -2 -> -2
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mnmx012 min 0 -1 -> -1
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mnmx013 min 0 0 -> 0
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mnmx014 min 0 1 -> 0
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mnmx015 min 0 2 -> 0
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mnmx016 min 1 -2 -> -2
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mnmx017 min 1 -1 -> -1
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mnmx018 min 1 0 -> 0
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mnmx019 min 1 1 -> 1
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mnmx020 min 1 2 -> 1
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mnmx021 min 2 -2 -> -2
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mnmx022 min 2 -1 -> -1
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mnmx023 min 2 0 -> 0
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mnmx025 min 2 1 -> 1
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mnmx026 min 2 2 -> 2
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-- extended zeros
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mnmx030 min 0 0 -> 0
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mnmx031 min 0 -0 -> -0
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mnmx032 min 0 -0.0 -> -0.0
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mnmx033 min 0 0.0 -> 0.0
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mnmx034 min -0 0 -> -0
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mnmx035 min -0 -0 -> -0
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mnmx036 min -0 -0.0 -> -0
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mnmx037 min -0 0.0 -> -0
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mnmx038 min 0.0 0 -> 0.0
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mnmx039 min 0.0 -0 -> -0
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mnmx040 min 0.0 -0.0 -> -0.0
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mnmx041 min 0.0 0.0 -> 0.0
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mnmx042 min -0.0 0 -> -0.0
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mnmx043 min -0.0 -0 -> -0
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mnmx044 min -0.0 -0.0 -> -0.0
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mnmx045 min -0.0 0.0 -> -0.0
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mnmx046 min 0E1 -0E1 -> -0E+1
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mnmx047 min -0E1 0E2 -> -0E+1
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mnmx048 min 0E2 0E1 -> 0E+1
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mnmx049 min 0E1 0E2 -> 0E+1
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mnmx050 min -0E3 -0E2 -> -0E+3
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mnmx051 min -0E2 -0E3 -> -0E+3
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-- Specials
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precision: 9
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mnmx090 min Inf -Inf -> -Infinity
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mnmx091 min Inf -1000 -> -1000
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mnmx092 min Inf -1 -> -1
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mnmx093 min Inf -0 -> -0
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mnmx094 min Inf 0 -> 0
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mnmx095 min Inf 1 -> 1
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mnmx096 min Inf 1000 -> 1000
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mnmx097 min Inf Inf -> Infinity
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mnmx098 min -1000 Inf -> -1000
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mnmx099 min -Inf Inf -> -Infinity
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mnmx100 min -1 Inf -> -1
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mnmx101 min -0 Inf -> -0
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mnmx102 min 0 Inf -> 0
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mnmx103 min 1 Inf -> 1
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mnmx104 min 1000 Inf -> 1000
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mnmx105 min Inf Inf -> Infinity
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mnmx120 min -Inf -Inf -> -Infinity
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mnmx121 min -Inf -1000 -> -Infinity
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mnmx122 min -Inf -1 -> -Infinity
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mnmx123 min -Inf -0 -> -Infinity
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mnmx124 min -Inf 0 -> -Infinity
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mnmx125 min -Inf 1 -> -Infinity
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mnmx126 min -Inf 1000 -> -Infinity
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mnmx127 min -Inf Inf -> -Infinity
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mnmx128 min -Inf -Inf -> -Infinity
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mnmx129 min -1000 -Inf -> -Infinity
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mnmx130 min -1 -Inf -> -Infinity
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mnmx131 min -0 -Inf -> -Infinity
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mnmx132 min 0 -Inf -> -Infinity
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mnmx133 min 1 -Inf -> -Infinity
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mnmx134 min 1000 -Inf -> -Infinity
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mnmx135 min Inf -Inf -> -Infinity
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-- 2004.08.02 754r chooses number over NaN in mixed cases
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mnmx141 min NaN -Inf -> -Infinity
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mnmx142 min NaN -1000 -> -1000
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mnmx143 min NaN -1 -> -1
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mnmx144 min NaN -0 -> -0
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mnmx145 min NaN 0 -> 0
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mnmx146 min NaN 1 -> 1
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mnmx147 min NaN 1000 -> 1000
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mnmx148 min NaN Inf -> Infinity
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mnmx149 min NaN NaN -> NaN
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mnmx150 min -Inf NaN -> -Infinity
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mnmx151 min -1000 NaN -> -1000
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mnmx152 min -1 -NaN -> -1
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mnmx153 min -0 NaN -> -0
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mnmx154 min 0 -NaN -> 0
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mnmx155 min 1 NaN -> 1
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mnmx156 min 1000 NaN -> 1000
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mnmx157 min Inf NaN -> Infinity
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mnmx161 min sNaN -Inf -> NaN Invalid_operation
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mnmx162 min sNaN -1000 -> NaN Invalid_operation
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mnmx163 min sNaN -1 -> NaN Invalid_operation
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mnmx164 min sNaN -0 -> NaN Invalid_operation
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mnmx165 min -sNaN 0 -> -NaN Invalid_operation
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mnmx166 min -sNaN 1 -> -NaN Invalid_operation
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mnmx167 min sNaN 1000 -> NaN Invalid_operation
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mnmx168 min sNaN NaN -> NaN Invalid_operation
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mnmx169 min sNaN sNaN -> NaN Invalid_operation
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mnmx170 min NaN sNaN -> NaN Invalid_operation
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mnmx171 min -Inf sNaN -> NaN Invalid_operation
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mnmx172 min -1000 sNaN -> NaN Invalid_operation
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mnmx173 min -1 sNaN -> NaN Invalid_operation
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mnmx174 min -0 sNaN -> NaN Invalid_operation
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mnmx175 min 0 sNaN -> NaN Invalid_operation
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mnmx176 min 1 sNaN -> NaN Invalid_operation
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mnmx177 min 1000 sNaN -> NaN Invalid_operation
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mnmx178 min Inf sNaN -> NaN Invalid_operation
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mnmx179 min NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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mnmx181 min NaN9 -Inf -> -Infinity
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mnmx182 min -NaN8 9990 -> 9990
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mnmx183 min NaN71 Inf -> Infinity
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mnmx184 min NaN1 NaN54 -> NaN1
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mnmx185 min NaN22 -NaN53 -> NaN22
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mnmx186 min -NaN3 NaN6 -> -NaN3
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mnmx187 min -NaN44 NaN7 -> -NaN44
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mnmx188 min -Inf NaN41 -> -Infinity
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mnmx189 min -9999 -NaN33 -> -9999
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mnmx190 min Inf NaN2 -> Infinity
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mnmx191 min sNaN99 -Inf -> NaN99 Invalid_operation
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mnmx192 min sNaN98 -11 -> NaN98 Invalid_operation
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mnmx193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation
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mnmx194 min sNaN69 sNaN94 -> NaN69 Invalid_operation
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mnmx195 min NaN95 sNaN93 -> NaN93 Invalid_operation
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mnmx196 min -Inf sNaN92 -> NaN92 Invalid_operation
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mnmx197 min 088 sNaN91 -> NaN91 Invalid_operation
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mnmx198 min Inf -sNaN90 -> -NaN90 Invalid_operation
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mnmx199 min 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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mnmx201 min -12345678000 1 -> -1.23456780E+10 Rounded
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mnmx202 min 1 -12345678000 -> -1.23456780E+10 Rounded
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mnmx203 min -1234567800 1 -> -1.23456780E+9 Rounded
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mnmx204 min 1 -1234567800 -> -1.23456780E+9 Rounded
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mnmx205 min -1234567890 1 -> -1.23456789E+9 Rounded
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mnmx206 min 1 -1234567890 -> -1.23456789E+9 Rounded
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mnmx207 min -1234567891 1 -> -1.23456789E+9 Inexact Rounded
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mnmx208 min 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
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mnmx209 min -12345678901 1 -> -1.23456789E+10 Inexact Rounded
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mnmx210 min 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
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mnmx211 min -1234567896 1 -> -1.23456790E+9 Inexact Rounded
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mnmx212 min 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
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mnmx213 min 1234567891 1 -> 1
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mnmx214 min 1 1234567891 -> 1
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mnmx215 min 12345678901 1 -> 1
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mnmx216 min 1 12345678901 -> 1
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mnmx217 min 1234567896 1 -> 1
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mnmx218 min 1 1234567896 -> 1
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precision: 15
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mnmx221 min -12345678000 1 -> -12345678000
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mnmx222 min 1 -12345678000 -> -12345678000
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mnmx223 min -1234567800 1 -> -1234567800
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mnmx224 min 1 -1234567800 -> -1234567800
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mnmx225 min -1234567890 1 -> -1234567890
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mnmx226 min 1 -1234567890 -> -1234567890
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mnmx227 min -1234567891 1 -> -1234567891
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mnmx228 min 1 -1234567891 -> -1234567891
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mnmx229 min -12345678901 1 -> -12345678901
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mnmx230 min 1 -12345678901 -> -12345678901
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mnmx231 min -1234567896 1 -> -1234567896
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mnmx232 min 1 -1234567896 -> -1234567896
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mnmx233 min 1234567891 1 -> 1
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mnmx234 min 1 1234567891 -> 1
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mnmx235 min 12345678901 1 -> 1
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mnmx236 min 1 12345678901 -> 1
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mnmx237 min 1234567896 1 -> 1
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mnmx238 min 1 1234567896 -> 1
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-- from examples
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mnmx280 min '3' '2' -> '2'
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mnmx281 min '-10' '3' -> '-10'
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mnmx282 min '1.0' '1' -> '1.0'
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mnmx283 min '1' '1.0' -> '1.0'
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mnmx284 min '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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mnmx330 min -1.23456789012345E-0 -9E+999999999 -> -9E+999999999
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mnmx331 min -9E+999999999 -1.23456789012345E-0 -> -9E+999999999
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mnmx332 min -0.100 -9E-999999999 -> -0.100
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mnmx333 min -9E-999999999 -0.100 -> -0.100
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mnmx335 min +1.23456789012345E-0 -9E+999999999 -> -9E+999999999
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mnmx336 min -9E+999999999 1.23456789012345E-0 -> -9E+999999999
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mnmx337 min +0.100 -9E-999999999 -> -9E-999999999
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mnmx338 min -9E-999999999 0.100 -> -9E-999999999
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mnmx339 min -1e-599999999 -1e-400000001 -> -1E-400000001
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mnmx340 min -1e-599999999 -1e-400000000 -> -1E-400000000
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mnmx341 min -1e-600000000 -1e-400000000 -> -1E-400000000
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mnmx342 min -9e-999999998 -0.01 -> -0.01
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mnmx343 min -9e-999999998 -0.1 -> -0.1
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mnmx344 min -0.01 -9e-999999998 -> -0.01
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mnmx345 min -1e599999999 -1e400000001 -> -1E+599999999
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mnmx346 min -1e599999999 -1e400000000 -> -1E+599999999
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mnmx347 min -1e600000000 -1e400000000 -> -1E+600000000
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mnmx348 min -9e999999998 -100 -> -9E+999999998
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mnmx349 min -9e999999998 -10 -> -9E+999999998
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mnmx350 min -100 -9e999999998 -> -9E+999999998
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-- signs
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mnmx351 min -1e+777777777 -1e+411111111 -> -1E+777777777
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mnmx352 min -1e+777777777 +1e+411111111 -> -1E+777777777
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mnmx353 min +1e+777777777 -1e+411111111 -> -1E+411111111
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mnmx354 min +1e+777777777 +1e+411111111 -> 1E+411111111
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mnmx355 min -1e-777777777 -1e-411111111 -> -1E-411111111
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mnmx356 min -1e-777777777 +1e-411111111 -> -1E-777777777
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mnmx357 min +1e-777777777 -1e-411111111 -> -1E-411111111
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mnmx358 min +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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mnmx401 min Inf 1.1 -> 1.1
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mnmx402 min 1.1 1 -> 1
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mnmx403 min 1 1.0 -> 1.0
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mnmx404 min 1.0 0.1 -> 0.1
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mnmx405 min 0.1 0.10 -> 0.10
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mnmx406 min 0.10 0.100 -> 0.100
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mnmx407 min 0.10 0 -> 0
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mnmx408 min 0 0.0 -> 0.0
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mnmx409 min 0.0 -0 -> -0
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mnmx410 min 0.0 -0.0 -> -0.0
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mnmx411 min 0.00 -0.0 -> -0.0
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mnmx412 min 0.0 -0.00 -> -0.00
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mnmx413 min 0 -0.0 -> -0.0
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mnmx414 min 0 -0 -> -0
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mnmx415 min -0.0 -0 -> -0
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mnmx416 min -0 -0.100 -> -0.100
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mnmx417 min -0.100 -0.10 -> -0.10
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mnmx418 min -0.10 -0.1 -> -0.1
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mnmx419 min -0.1 -1.0 -> -1.0
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mnmx420 min -1.0 -1 -> -1
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mnmx421 min -1 -1.1 -> -1.1
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mnmx423 min -1.1 -Inf -> -Infinity
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-- same with operands reversed
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mnmx431 min 1.1 Inf -> 1.1
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mnmx432 min 1 1.1 -> 1
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mnmx433 min 1.0 1 -> 1.0
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mnmx434 min 0.1 1.0 -> 0.1
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mnmx435 min 0.10 0.1 -> 0.10
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mnmx436 min 0.100 0.10 -> 0.100
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mnmx437 min 0 0.10 -> 0
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mnmx438 min 0.0 0 -> 0.0
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mnmx439 min -0 0.0 -> -0
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mnmx440 min -0.0 0.0 -> -0.0
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mnmx441 min -0.0 0.00 -> -0.0
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mnmx442 min -0.00 0.0 -> -0.00
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mnmx443 min -0.0 0 -> -0.0
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mnmx444 min -0 0 -> -0
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mnmx445 min -0 -0.0 -> -0
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mnmx446 min -0.100 -0 -> -0.100
|
||
|
|
mnmx447 min -0.10 -0.100 -> -0.10
|
||
|
|
mnmx448 min -0.1 -0.10 -> -0.1
|
||
|
|
mnmx449 min -1.0 -0.1 -> -1.0
|
||
|
|
mnmx450 min -1 -1.0 -> -1
|
||
|
|
mnmx451 min -1.1 -1 -> -1.1
|
||
|
|
mnmx453 min -Inf -1.1 -> -Infinity
|
||
|
|
-- largies
|
||
|
|
mnmx460 min 1000 1E+3 -> 1000
|
||
|
|
mnmx461 min 1E+3 1000 -> 1000
|
||
|
|
mnmx462 min 1000 -1E+3 -> -1E+3
|
||
|
|
mnmx463 min 1E+3 -1000 -> -1000
|
||
|
|
mnmx464 min -1000 1E+3 -> -1000
|
||
|
|
mnmx465 min -1E+3 1000 -> -1E+3
|
||
|
|
mnmx466 min -1000 -1E+3 -> -1E+3
|
||
|
|
mnmx467 min -1E+3 -1000 -> -1E+3
|
||
|
|
|
||
|
|
-- rounding (results treated as though plus)
|
||
|
|
maxexponent: 999999999
|
||
|
|
minexponent: -999999999
|
||
|
|
precision: 3
|
||
|
|
|
||
|
|
mnmx470 min 1 5 -> 1
|
||
|
|
mnmx471 min 10 50 -> 10
|
||
|
|
mnmx472 min 100 500 -> 100
|
||
|
|
mnmx473 min 1000 5000 -> 1.00E+3 Rounded
|
||
|
|
mnmx474 min 10000 50000 -> 1.00E+4 Rounded
|
||
|
|
mnmx475 min 6 50 -> 6
|
||
|
|
mnmx476 min 66 500 -> 66
|
||
|
|
mnmx477 min 666 5000 -> 666
|
||
|
|
mnmx478 min 6666 50000 -> 6.67E+3 Rounded Inexact
|
||
|
|
mnmx479 min 66666 500000 -> 6.67E+4 Rounded Inexact
|
||
|
|
mnmx480 min 33333 500000 -> 3.33E+4 Rounded Inexact
|
||
|
|
mnmx481 min 75401 1 -> 1
|
||
|
|
mnmx482 min 75402 10 -> 10
|
||
|
|
mnmx483 min 75403 100 -> 100
|
||
|
|
mnmx484 min 75404 1000 -> 1.00E+3 Rounded
|
||
|
|
mnmx485 min 75405 10000 -> 1.00E+4 Rounded
|
||
|
|
mnmx486 min 75406 6 -> 6
|
||
|
|
mnmx487 min 75407 66 -> 66
|
||
|
|
mnmx488 min 75408 666 -> 666
|
||
|
|
mnmx489 min 75409 6666 -> 6.67E+3 Rounded Inexact
|
||
|
|
mnmx490 min 75410 66666 -> 6.67E+4 Rounded Inexact
|
||
|
|
mnmx491 min 75411 33333 -> 3.33E+4 Rounded Inexact
|
||
|
|
|
||
|
|
|
||
|
|
-- overflow tests
|
||
|
|
maxexponent: 999999999
|
||
|
|
minexponent: -999999999
|
||
|
|
precision: 3
|
||
|
|
mnmx500 min 9.999E+999999999 0 -> 0
|
||
|
|
mnmx501 min -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
|
||
|
|
|
||
|
|
-- subnormals and underflow
|
||
|
|
precision: 3
|
||
|
|
maxexponent: 999
|
||
|
|
minexponent: -999
|
||
|
|
mnmx510 min 1.00E-999 0 -> 0
|
||
|
|
mnmx511 min 0.1E-999 0 -> 0
|
||
|
|
mnmx512 min 0.10E-999 0 -> 0
|
||
|
|
mnmx513 min 0.100E-999 0 -> 0
|
||
|
|
mnmx514 min 0.01E-999 0 -> 0
|
||
|
|
mnmx515 min 0.999E-999 0 -> 0
|
||
|
|
mnmx516 min 0.099E-999 0 -> 0
|
||
|
|
mnmx517 min 0.009E-999 0 -> 0
|
||
|
|
mnmx518 min 0.001E-999 0 -> 0
|
||
|
|
mnmx519 min 0.0009E-999 0 -> 0
|
||
|
|
mnmx520 min 0.0001E-999 0 -> 0
|
||
|
|
|
||
|
|
mnmx530 min -1.00E-999 0 -> -1.00E-999
|
||
|
|
mnmx531 min -0.1E-999 0 -> -1E-1000 Subnormal
|
||
|
|
mnmx532 min -0.10E-999 0 -> -1.0E-1000 Subnormal
|
||
|
|
mnmx533 min -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
|
||
|
|
mnmx534 min -0.01E-999 0 -> -1E-1001 Subnormal
|
||
|
|
-- next is rounded to Nmin
|
||
|
|
mnmx535 min -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
|
||
|
|
mnmx536 min -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
||
|
|
mnmx537 min -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
|
||
|
|
mnmx538 min -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
||
|
|
mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
||
|
|
mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
||
|
|
|
||
|
|
-- misalignment traps for little-endian
|
||
|
|
precision: 9
|
||
|
|
mnmx551 min 1.0 0.1 -> 0.1
|
||
|
|
mnmx552 min 0.1 1.0 -> 0.1
|
||
|
|
mnmx553 min 10.0 0.1 -> 0.1
|
||
|
|
mnmx554 min 0.1 10.0 -> 0.1
|
||
|
|
mnmx555 min 100 1.0 -> 1.0
|
||
|
|
mnmx556 min 1.0 100 -> 1.0
|
||
|
|
mnmx557 min 1000 10.0 -> 10.0
|
||
|
|
mnmx558 min 10.0 1000 -> 10.0
|
||
|
|
mnmx559 min 10000 100.0 -> 100.0
|
||
|
|
mnmx560 min 100.0 10000 -> 100.0
|
||
|
|
mnmx561 min 100000 1000.0 -> 1000.0
|
||
|
|
mnmx562 min 1000.0 100000 -> 1000.0
|
||
|
|
mnmx563 min 1000000 10000.0 -> 10000.0
|
||
|
|
mnmx564 min 10000.0 1000000 -> 10000.0
|
||
|
|
|
||
|
|
-- Null tests
|
||
|
|
mnm900 min 10 # -> NaN Invalid_operation
|
||
|
|
mnm901 min # 10 -> NaN Invalid_operation
|