2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- maxmag.decTest -- decimal maximum by magnitude --
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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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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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mxgx001 maxmag -2 -2 -> -2
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mxgx002 maxmag -2 -1 -> -2
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mxgx003 maxmag -2 0 -> -2
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mxgx004 maxmag -2 1 -> -2
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mxgx005 maxmag -2 2 -> 2
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mxgx006 maxmag -1 -2 -> -2
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mxgx007 maxmag -1 -1 -> -1
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mxgx008 maxmag -1 0 -> -1
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mxgx009 maxmag -1 1 -> 1
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mxgx010 maxmag -1 2 -> 2
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mxgx011 maxmag 0 -2 -> -2
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mxgx012 maxmag 0 -1 -> -1
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mxgx013 maxmag 0 0 -> 0
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mxgx014 maxmag 0 1 -> 1
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mxgx015 maxmag 0 2 -> 2
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mxgx016 maxmag 1 -2 -> -2
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mxgx017 maxmag 1 -1 -> 1
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mxgx018 maxmag 1 0 -> 1
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mxgx019 maxmag 1 1 -> 1
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mxgx020 maxmag 1 2 -> 2
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mxgx021 maxmag 2 -2 -> 2
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mxgx022 maxmag 2 -1 -> 2
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mxgx023 maxmag 2 0 -> 2
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mxgx025 maxmag 2 1 -> 2
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mxgx026 maxmag 2 2 -> 2
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-- extended zeros
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mxgx030 maxmag 0 0 -> 0
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mxgx031 maxmag 0 -0 -> 0
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mxgx032 maxmag 0 -0.0 -> 0
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mxgx033 maxmag 0 0.0 -> 0
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mxgx034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
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mxgx035 maxmag -0 -0 -> -0
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mxgx036 maxmag -0 -0.0 -> -0.0
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mxgx037 maxmag -0 0.0 -> 0.0
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mxgx038 maxmag 0.0 0 -> 0
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mxgx039 maxmag 0.0 -0 -> 0.0
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mxgx040 maxmag 0.0 -0.0 -> 0.0
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mxgx041 maxmag 0.0 0.0 -> 0.0
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mxgx042 maxmag -0.0 0 -> 0
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mxgx043 maxmag -0.0 -0 -> -0.0
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mxgx044 maxmag -0.0 -0.0 -> -0.0
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mxgx045 maxmag -0.0 0.0 -> 0.0
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mxgx050 maxmag -0E1 0E1 -> 0E+1
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mxgx051 maxmag -0E2 0E2 -> 0E+2
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mxgx052 maxmag -0E2 0E1 -> 0E+1
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mxgx053 maxmag -0E1 0E2 -> 0E+2
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mxgx054 maxmag 0E1 -0E1 -> 0E+1
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mxgx055 maxmag 0E2 -0E2 -> 0E+2
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mxgx056 maxmag 0E2 -0E1 -> 0E+2
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mxgx057 maxmag 0E1 -0E2 -> 0E+1
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mxgx058 maxmag 0E1 0E1 -> 0E+1
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mxgx059 maxmag 0E2 0E2 -> 0E+2
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mxgx060 maxmag 0E2 0E1 -> 0E+2
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mxgx061 maxmag 0E1 0E2 -> 0E+2
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mxgx062 maxmag -0E1 -0E1 -> -0E+1
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mxgx063 maxmag -0E2 -0E2 -> -0E+2
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mxgx064 maxmag -0E2 -0E1 -> -0E+1
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mxgx065 maxmag -0E1 -0E2 -> -0E+1
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-- Specials
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precision: 9
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mxgx090 maxmag Inf -Inf -> Infinity
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mxgx091 maxmag Inf -1000 -> Infinity
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mxgx092 maxmag Inf -1 -> Infinity
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mxgx093 maxmag Inf -0 -> Infinity
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mxgx094 maxmag Inf 0 -> Infinity
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mxgx095 maxmag Inf 1 -> Infinity
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mxgx096 maxmag Inf 1000 -> Infinity
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mxgx097 maxmag Inf Inf -> Infinity
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mxgx098 maxmag -1000 Inf -> Infinity
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mxgx099 maxmag -Inf Inf -> Infinity
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mxgx100 maxmag -1 Inf -> Infinity
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mxgx101 maxmag -0 Inf -> Infinity
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mxgx102 maxmag 0 Inf -> Infinity
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mxgx103 maxmag 1 Inf -> Infinity
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mxgx104 maxmag 1000 Inf -> Infinity
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mxgx105 maxmag Inf Inf -> Infinity
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mxgx120 maxmag -Inf -Inf -> -Infinity
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mxgx121 maxmag -Inf -1000 -> -Infinity
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mxgx122 maxmag -Inf -1 -> -Infinity
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mxgx123 maxmag -Inf -0 -> -Infinity
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mxgx124 maxmag -Inf 0 -> -Infinity
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mxgx125 maxmag -Inf 1 -> -Infinity
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mxgx126 maxmag -Inf 1000 -> -Infinity
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mxgx127 maxmag -Inf Inf -> Infinity
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mxgx128 maxmag -Inf -Inf -> -Infinity
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mxgx129 maxmag -1000 -Inf -> -Infinity
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mxgx130 maxmag -1 -Inf -> -Infinity
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mxgx131 maxmag -0 -Inf -> -Infinity
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mxgx132 maxmag 0 -Inf -> -Infinity
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mxgx133 maxmag 1 -Inf -> -Infinity
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mxgx134 maxmag 1000 -Inf -> -Infinity
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mxgx135 maxmag Inf -Inf -> Infinity
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-- 2004.08.02 754r chooses number over NaN in mixed cases
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mxgx141 maxmag NaN -Inf -> -Infinity
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mxgx142 maxmag NaN -1000 -> -1000
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mxgx143 maxmag NaN -1 -> -1
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mxgx144 maxmag NaN -0 -> -0
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mxgx145 maxmag NaN 0 -> 0
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mxgx146 maxmag NaN 1 -> 1
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mxgx147 maxmag NaN 1000 -> 1000
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mxgx148 maxmag NaN Inf -> Infinity
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mxgx149 maxmag NaN NaN -> NaN
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mxgx150 maxmag -Inf NaN -> -Infinity
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mxgx151 maxmag -1000 NaN -> -1000
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mxgx152 maxmag -1 NaN -> -1
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mxgx153 maxmag -0 NaN -> -0
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mxgx154 maxmag 0 NaN -> 0
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mxgx155 maxmag 1 NaN -> 1
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mxgx156 maxmag 1000 NaN -> 1000
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mxgx157 maxmag Inf NaN -> Infinity
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mxgx161 maxmag sNaN -Inf -> NaN Invalid_operation
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mxgx162 maxmag sNaN -1000 -> NaN Invalid_operation
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mxgx163 maxmag sNaN -1 -> NaN Invalid_operation
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mxgx164 maxmag sNaN -0 -> NaN Invalid_operation
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mxgx165 maxmag sNaN 0 -> NaN Invalid_operation
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mxgx166 maxmag sNaN 1 -> NaN Invalid_operation
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mxgx167 maxmag sNaN 1000 -> NaN Invalid_operation
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mxgx168 maxmag sNaN NaN -> NaN Invalid_operation
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mxgx169 maxmag sNaN sNaN -> NaN Invalid_operation
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mxgx170 maxmag NaN sNaN -> NaN Invalid_operation
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mxgx171 maxmag -Inf sNaN -> NaN Invalid_operation
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mxgx172 maxmag -1000 sNaN -> NaN Invalid_operation
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mxgx173 maxmag -1 sNaN -> NaN Invalid_operation
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mxgx174 maxmag -0 sNaN -> NaN Invalid_operation
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mxgx175 maxmag 0 sNaN -> NaN Invalid_operation
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mxgx176 maxmag 1 sNaN -> NaN Invalid_operation
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mxgx177 maxmag 1000 sNaN -> NaN Invalid_operation
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mxgx178 maxmag Inf sNaN -> NaN Invalid_operation
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mxgx179 maxmag NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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mxgx181 maxmag NaN9 -Inf -> -Infinity
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mxgx182 maxmag NaN8 9 -> 9
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mxgx183 maxmag -NaN7 Inf -> Infinity
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mxgx184 maxmag -NaN1 NaN11 -> -NaN1
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mxgx185 maxmag NaN2 NaN12 -> NaN2
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mxgx186 maxmag -NaN13 -NaN7 -> -NaN13
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mxgx187 maxmag NaN14 -NaN5 -> NaN14
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mxgx188 maxmag -Inf NaN4 -> -Infinity
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mxgx189 maxmag -9 -NaN3 -> -9
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mxgx190 maxmag Inf NaN2 -> Infinity
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mxgx191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
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mxgx192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
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mxgx193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
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mxgx194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
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mxgx195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
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mxgx196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
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mxgx197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
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mxgx198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
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mxgx199 maxmag 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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mxgx201 maxmag 12345678000 1 -> 1.23456780E+10 Rounded
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mxgx202 maxmag 1 12345678000 -> 1.23456780E+10 Rounded
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mxgx203 maxmag 1234567800 1 -> 1.23456780E+9 Rounded
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mxgx204 maxmag 1 1234567800 -> 1.23456780E+9 Rounded
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mxgx205 maxmag 1234567890 1 -> 1.23456789E+9 Rounded
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mxgx206 maxmag 1 1234567890 -> 1.23456789E+9 Rounded
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mxgx207 maxmag 1234567891 1 -> 1.23456789E+9 Inexact Rounded
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mxgx208 maxmag 1 1234567891 -> 1.23456789E+9 Inexact Rounded
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mxgx209 maxmag 12345678901 1 -> 1.23456789E+10 Inexact Rounded
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mxgx210 maxmag 1 12345678901 -> 1.23456789E+10 Inexact Rounded
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mxgx211 maxmag 1234567896 1 -> 1.23456790E+9 Inexact Rounded
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mxgx212 maxmag 1 1234567896 -> 1.23456790E+9 Inexact Rounded
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mxgx213 maxmag -1234567891 1 -> -1.23456789E+9 Inexact Rounded
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mxgx214 maxmag 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
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mxgx215 maxmag -12345678901 1 -> -1.23456789E+10 Inexact Rounded
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mxgx216 maxmag 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
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mxgx217 maxmag -1234567896 1 -> -1.23456790E+9 Inexact Rounded
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mxgx218 maxmag 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
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precision: 15
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mxgx221 maxmag 12345678000 1 -> 12345678000
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mxgx222 maxmag 1 12345678000 -> 12345678000
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mxgx223 maxmag 1234567800 1 -> 1234567800
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mxgx224 maxmag 1 1234567800 -> 1234567800
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mxgx225 maxmag 1234567890 1 -> 1234567890
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mxgx226 maxmag 1 1234567890 -> 1234567890
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mxgx227 maxmag 1234567891 1 -> 1234567891
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mxgx228 maxmag 1 1234567891 -> 1234567891
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mxgx229 maxmag 12345678901 1 -> 12345678901
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mxgx230 maxmag 1 12345678901 -> 12345678901
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mxgx231 maxmag 1234567896 1 -> 1234567896
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mxgx232 maxmag 1 1234567896 -> 1234567896
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mxgx233 maxmag -1234567891 1 -> -1234567891
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mxgx234 maxmag 1 -1234567891 -> -1234567891
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mxgx235 maxmag -12345678901 1 -> -12345678901
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mxgx236 maxmag 1 -12345678901 -> -12345678901
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mxgx237 maxmag -1234567896 1 -> -1234567896
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mxgx238 maxmag 1 -1234567896 -> -1234567896
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-- from examples
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mxgx280 maxmag '3' '2' -> '3'
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mxgx281 maxmag '-10' '3' -> '-10'
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mxgx282 maxmag '1.0' '1' -> '1'
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mxgx283 maxmag '1' '1.0' -> '1'
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mxgx284 maxmag '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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mxgx330 maxmag +1.23456789012345E-0 9E+999999999 -> 9E+999999999
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mxgx331 maxmag 9E+999999999 +1.23456789012345E-0 -> 9E+999999999
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mxgx332 maxmag +0.100 9E-999999999 -> 0.100
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mxgx333 maxmag 9E-999999999 +0.100 -> 0.100
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mxgx335 maxmag -1.23456789012345E-0 9E+999999999 -> 9E+999999999
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mxgx336 maxmag 9E+999999999 -1.23456789012345E-0 -> 9E+999999999
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mxgx337 maxmag -0.100 9E-999999999 -> -0.100
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mxgx338 maxmag 9E-999999999 -0.100 -> -0.100
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mxgx339 maxmag 1e-599999999 1e-400000001 -> 1E-400000001
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mxgx340 maxmag 1e-599999999 1e-400000000 -> 1E-400000000
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mxgx341 maxmag 1e-600000000 1e-400000000 -> 1E-400000000
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mxgx342 maxmag 9e-999999998 0.01 -> 0.01
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mxgx343 maxmag 9e-999999998 0.1 -> 0.1
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mxgx344 maxmag 0.01 9e-999999998 -> 0.01
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mxgx345 maxmag 1e599999999 1e400000001 -> 1E+599999999
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mxgx346 maxmag 1e599999999 1e400000000 -> 1E+599999999
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mxgx347 maxmag 1e600000000 1e400000000 -> 1E+600000000
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mxgx348 maxmag 9e999999998 100 -> 9E+999999998
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mxgx349 maxmag 9e999999998 10 -> 9E+999999998
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mxgx350 maxmag 100 9e999999998 -> 9E+999999998
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-- signs
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mxgx351 maxmag 1e+777777777 1e+411111111 -> 1E+777777777
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mxgx352 maxmag 1e+777777777 -1e+411111111 -> 1E+777777777
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mxgx353 maxmag -1e+777777777 1e+411111111 -> -1E+777777777
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mxgx354 maxmag -1e+777777777 -1e+411111111 -> -1E+777777777
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mxgx355 maxmag 1e-777777777 1e-411111111 -> 1E-411111111
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mxgx356 maxmag 1e-777777777 -1e-411111111 -> -1E-411111111
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mxgx357 maxmag -1e-777777777 1e-411111111 -> 1E-411111111
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mxgx358 maxmag -1e-777777777 -1e-411111111 -> -1E-411111111
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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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mxgx401 maxmag Inf 1.1 -> Infinity
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mxgx402 maxmag 1.1 1 -> 1.1
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mxgx403 maxmag 1 1.0 -> 1
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mxgx404 maxmag 1.0 0.1 -> 1.0
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mxgx405 maxmag 0.1 0.10 -> 0.1
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mxgx406 maxmag 0.10 0.100 -> 0.10
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mxgx407 maxmag 0.10 0 -> 0.10
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mxgx408 maxmag 0 0.0 -> 0
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mxgx409 maxmag 0.0 -0 -> 0.0
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mxgx410 maxmag 0.0 -0.0 -> 0.0
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mxgx411 maxmag 0.00 -0.0 -> 0.00
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mxgx412 maxmag 0.0 -0.00 -> 0.0
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mxgx413 maxmag 0 -0.0 -> 0
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mxgx414 maxmag 0 -0 -> 0
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mxgx415 maxmag -0.0 -0 -> -0.0
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mxgx416 maxmag -0 -0.100 -> -0.100
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mxgx417 maxmag -0.100 -0.10 -> -0.100
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mxgx418 maxmag -0.10 -0.1 -> -0.10
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mxgx419 maxmag -0.1 -1.0 -> -1.0
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mxgx420 maxmag -1.0 -1 -> -1.0
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mxgx421 maxmag -1 -1.1 -> -1.1
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mxgx423 maxmag -1.1 -Inf -> -Infinity
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-- same with operands reversed
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mxgx431 maxmag 1.1 Inf -> Infinity
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mxgx432 maxmag 1 1.1 -> 1.1
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mxgx433 maxmag 1.0 1 -> 1
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mxgx434 maxmag 0.1 1.0 -> 1.0
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mxgx435 maxmag 0.10 0.1 -> 0.1
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mxgx436 maxmag 0.100 0.10 -> 0.10
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mxgx437 maxmag 0 0.10 -> 0.10
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mxgx438 maxmag 0.0 0 -> 0
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mxgx439 maxmag -0 0.0 -> 0.0
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mxgx440 maxmag -0.0 0.0 -> 0.0
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mxgx441 maxmag -0.0 0.00 -> 0.00
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mxgx442 maxmag -0.00 0.0 -> 0.0
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mxgx443 maxmag -0.0 0 -> 0
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mxgx444 maxmag -0 0 -> 0
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mxgx445 maxmag -0 -0.0 -> -0.0
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mxgx446 maxmag -0.100 -0 -> -0.100
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mxgx447 maxmag -0.10 -0.100 -> -0.100
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mxgx448 maxmag -0.1 -0.10 -> -0.10
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mxgx449 maxmag -1.0 -0.1 -> -1.0
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mxgx450 maxmag -1 -1.0 -> -1.0
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mxgx451 maxmag -1.1 -1 -> -1.1
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mxgx453 maxmag -Inf -1.1 -> -Infinity
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-- largies
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mxgx460 maxmag 1000 1E+3 -> 1E+3
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mxgx461 maxmag 1E+3 1000 -> 1E+3
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mxgx462 maxmag 1000 -1E+3 -> 1000
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mxgx463 maxmag 1E+3 -1000 -> 1E+3
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mxgx464 maxmag -1000 1E+3 -> 1E+3
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mxgx465 maxmag -1E+3 1000 -> 1000
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mxgx466 maxmag -1000 -1E+3 -> -1000
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mxgx467 maxmag -1E+3 -1000 -> -1000
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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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mxgx470 maxmag 1 .5 -> 1
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mxgx471 maxmag 10 5 -> 10
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mxgx472 maxmag 100 50 -> 100
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mxgx473 maxmag 1000 500 -> 1.00E+3 Rounded
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mxgx474 maxmag 10000 5000 -> 1.00E+4 Rounded
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mxgx475 maxmag 6 .5 -> 6
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mxgx476 maxmag 66 5 -> 66
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mxgx477 maxmag 666 50 -> 666
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mxgx478 maxmag 6666 500 -> 6.67E+3 Rounded Inexact
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mxgx479 maxmag 66666 5000 -> 6.67E+4 Rounded Inexact
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mxgx480 maxmag 33333 5000 -> 3.33E+4 Rounded Inexact
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mxgx481 maxmag .5 1 -> 1
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mxgx482 maxmag .5 10 -> 10
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mxgx483 maxmag .5 100 -> 100
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mxgx484 maxmag .5 1000 -> 1.00E+3 Rounded
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mxgx485 maxmag .5 10000 -> 1.00E+4 Rounded
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mxgx486 maxmag .5 6 -> 6
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mxgx487 maxmag .5 66 -> 66
|
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mxgx488 maxmag .5 666 -> 666
|
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mxgx489 maxmag .5 6666 -> 6.67E+3 Rounded Inexact
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mxgx490 maxmag .5 66666 -> 6.67E+4 Rounded Inexact
|
|
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mxgx491 maxmag .5 33333 -> 3.33E+4 Rounded Inexact
|
|
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|
|
|
|
|
|
|
-- overflow tests
|
|
|
|
|
maxexponent: 999999999
|
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|
minexponent: -999999999
|
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precision: 3
|
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mxgx500 maxmag 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
|
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mxgx501 maxmag -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
|
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|
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-- subnormals and underflow
|
|
|
|
|
precision: 3
|
|
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|
|
maxexponent: 999
|
|
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|
|
minexponent: -999
|
|
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mxgx510 maxmag 1.00E-999 0 -> 1.00E-999
|
|
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mxgx511 maxmag 0.1E-999 0 -> 1E-1000 Subnormal
|
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mxgx512 maxmag 0.10E-999 0 -> 1.0E-1000 Subnormal
|
|
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mxgx513 maxmag 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
|
|
|
|
|
mxgx514 maxmag 0.01E-999 0 -> 1E-1001 Subnormal
|
|
|
|
|
-- next is rounded to Nmin
|
|
|
|
|
mxgx515 maxmag 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
|
|
|
|
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mxgx516 maxmag 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
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|
|
mxgx517 maxmag 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
|
|
|
|
|
mxgx518 maxmag 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
|
mxgx519 maxmag 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
|
mxgx520 maxmag 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
|
|
|
|
|
|
mxgx530 maxmag -1.00E-999 0 -> -1.00E-999
|
|
|
|
|
mxgx531 maxmag -0.1E-999 0 -> -1E-1000 Subnormal
|
|
|
|
|
mxgx532 maxmag -0.10E-999 0 -> -1.0E-1000 Subnormal
|
|
|
|
|
mxgx533 maxmag -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
|
|
|
|
|
mxgx534 maxmag -0.01E-999 0 -> -1E-1001 Subnormal
|
|
|
|
|
-- next is rounded to -Nmin
|
|
|
|
|
mxgx535 maxmag -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
|
|
|
|
|
mxgx536 maxmag -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
|
|
|
mxgx537 maxmag -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
|
|
|
|
|
mxgx538 maxmag -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
|
mxgx539 maxmag -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
|
mxgx540 maxmag -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
|
|
|
|
|
|
-- Null tests
|
|
|
|
|
mxgx900 maxmag 10 # -> NaN Invalid_operation
|
|
|
|
|
mxgx901 maxmag # 10 -> NaN Invalid_operation
|
|
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