| 1 | ------------------------------------------------------------------------
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| 2 | -- ddMaxMag.decTest -- decDouble maxnummag --
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| 3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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| 4 | ------------------------------------------------------------------------
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| 5 | -- Please see the document "General Decimal Arithmetic Testcases" --
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| 6 | -- at http://www2.hursley.ibm.com/decimal for the description of --
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| 7 | -- these testcases. --
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| 8 | -- --
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| 9 | -- These testcases are experimental ('beta' versions), and they --
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| 10 | -- may contain errors. They are offered on an as-is basis. In --
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| 11 | -- particular, achieving the same results as the tests here is not --
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| 12 | -- a guarantee that an implementation complies with any Standard --
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| 13 | -- or specification. The tests are not exhaustive. --
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| 14 | -- --
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| 15 | -- Please send comments, suggestions, and corrections to the author: --
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| 16 | -- Mike Cowlishaw, IBM Fellow --
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| 17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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| 18 | -- mfc@uk.ibm.com --
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| 19 | ------------------------------------------------------------------------
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| 20 | version: 2.59
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| 21 |
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| 22 | -- we assume that base comparison is tested in compare.decTest, so
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| 23 | -- these mainly cover special cases and rounding
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| 24 | precision: 16
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| 25 | maxExponent: 384
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| 26 | minExponent: -383
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| 27 | extended: 1
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| 28 | clamp: 1
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| 29 | rounding: half_even
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| 30 |
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| 31 | -- sanity checks
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| 32 | ddmxg001 maxmag -2 -2 -> -2
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| 33 | ddmxg002 maxmag -2 -1 -> -2
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| 34 | ddmxg003 maxmag -2 0 -> -2
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| 35 | ddmxg004 maxmag -2 1 -> -2
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| 36 | ddmxg005 maxmag -2 2 -> 2
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| 37 | ddmxg006 maxmag -1 -2 -> -2
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| 38 | ddmxg007 maxmag -1 -1 -> -1
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| 39 | ddmxg008 maxmag -1 0 -> -1
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| 40 | ddmxg009 maxmag -1 1 -> 1
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| 41 | ddmxg010 maxmag -1 2 -> 2
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| 42 | ddmxg011 maxmag 0 -2 -> -2
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| 43 | ddmxg012 maxmag 0 -1 -> -1
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| 44 | ddmxg013 maxmag 0 0 -> 0
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| 45 | ddmxg014 maxmag 0 1 -> 1
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| 46 | ddmxg015 maxmag 0 2 -> 2
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| 47 | ddmxg016 maxmag 1 -2 -> -2
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| 48 | ddmxg017 maxmag 1 -1 -> 1
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| 49 | ddmxg018 maxmag 1 0 -> 1
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| 50 | ddmxg019 maxmag 1 1 -> 1
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| 51 | ddmxg020 maxmag 1 2 -> 2
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| 52 | ddmxg021 maxmag 2 -2 -> 2
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| 53 | ddmxg022 maxmag 2 -1 -> 2
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| 54 | ddmxg023 maxmag 2 0 -> 2
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| 55 | ddmxg025 maxmag 2 1 -> 2
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| 56 | ddmxg026 maxmag 2 2 -> 2
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| 57 |
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| 58 | -- extended zeros
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| 59 | ddmxg030 maxmag 0 0 -> 0
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| 60 | ddmxg031 maxmag 0 -0 -> 0
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| 61 | ddmxg032 maxmag 0 -0.0 -> 0
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| 62 | ddmxg033 maxmag 0 0.0 -> 0
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| 63 | ddmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
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| 64 | ddmxg035 maxmag -0 -0 -> -0
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| 65 | ddmxg036 maxmag -0 -0.0 -> -0.0
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| 66 | ddmxg037 maxmag -0 0.0 -> 0.0
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| 67 | ddmxg038 maxmag 0.0 0 -> 0
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| 68 | ddmxg039 maxmag 0.0 -0 -> 0.0
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| 69 | ddmxg040 maxmag 0.0 -0.0 -> 0.0
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| 70 | ddmxg041 maxmag 0.0 0.0 -> 0.0
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| 71 | ddmxg042 maxmag -0.0 0 -> 0
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| 72 | ddmxg043 maxmag -0.0 -0 -> -0.0
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| 73 | ddmxg044 maxmag -0.0 -0.0 -> -0.0
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| 74 | ddmxg045 maxmag -0.0 0.0 -> 0.0
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| 75 |
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| 76 | ddmxg050 maxmag -0E1 0E1 -> 0E+1
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| 77 | ddmxg051 maxmag -0E2 0E2 -> 0E+2
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| 78 | ddmxg052 maxmag -0E2 0E1 -> 0E+1
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| 79 | ddmxg053 maxmag -0E1 0E2 -> 0E+2
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| 80 | ddmxg054 maxmag 0E1 -0E1 -> 0E+1
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| 81 | ddmxg055 maxmag 0E2 -0E2 -> 0E+2
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| 82 | ddmxg056 maxmag 0E2 -0E1 -> 0E+2
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| 83 | ddmxg057 maxmag 0E1 -0E2 -> 0E+1
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| 84 |
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| 85 | ddmxg058 maxmag 0E1 0E1 -> 0E+1
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| 86 | ddmxg059 maxmag 0E2 0E2 -> 0E+2
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| 87 | ddmxg060 maxmag 0E2 0E1 -> 0E+2
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| 88 | ddmxg061 maxmag 0E1 0E2 -> 0E+2
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| 89 | ddmxg062 maxmag -0E1 -0E1 -> -0E+1
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| 90 | ddmxg063 maxmag -0E2 -0E2 -> -0E+2
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| 91 | ddmxg064 maxmag -0E2 -0E1 -> -0E+1
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| 92 | ddmxg065 maxmag -0E1 -0E2 -> -0E+1
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| 93 |
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| 94 | -- Specials
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| 95 | ddmxg090 maxmag Inf -Inf -> Infinity
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| 96 | ddmxg091 maxmag Inf -1000 -> Infinity
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| 97 | ddmxg092 maxmag Inf -1 -> Infinity
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| 98 | ddmxg093 maxmag Inf -0 -> Infinity
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| 99 | ddmxg094 maxmag Inf 0 -> Infinity
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| 100 | ddmxg095 maxmag Inf 1 -> Infinity
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| 101 | ddmxg096 maxmag Inf 1000 -> Infinity
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| 102 | ddmxg097 maxmag Inf Inf -> Infinity
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| 103 | ddmxg098 maxmag -1000 Inf -> Infinity
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| 104 | ddmxg099 maxmag -Inf Inf -> Infinity
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| 105 | ddmxg100 maxmag -1 Inf -> Infinity
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| 106 | ddmxg101 maxmag -0 Inf -> Infinity
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| 107 | ddmxg102 maxmag 0 Inf -> Infinity
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| 108 | ddmxg103 maxmag 1 Inf -> Infinity
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| 109 | ddmxg104 maxmag 1000 Inf -> Infinity
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| 110 | ddmxg105 maxmag Inf Inf -> Infinity
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| 111 |
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| 112 | ddmxg120 maxmag -Inf -Inf -> -Infinity
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| 113 | ddmxg121 maxmag -Inf -1000 -> -Infinity
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| 114 | ddmxg122 maxmag -Inf -1 -> -Infinity
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| 115 | ddmxg123 maxmag -Inf -0 -> -Infinity
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| 116 | ddmxg124 maxmag -Inf 0 -> -Infinity
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| 117 | ddmxg125 maxmag -Inf 1 -> -Infinity
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| 118 | ddmxg126 maxmag -Inf 1000 -> -Infinity
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| 119 | ddmxg127 maxmag -Inf Inf -> Infinity
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| 120 | ddmxg128 maxmag -Inf -Inf -> -Infinity
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| 121 | ddmxg129 maxmag -1000 -Inf -> -Infinity
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| 122 | ddmxg130 maxmag -1 -Inf -> -Infinity
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| 123 | ddmxg131 maxmag -0 -Inf -> -Infinity
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| 124 | ddmxg132 maxmag 0 -Inf -> -Infinity
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| 125 | ddmxg133 maxmag 1 -Inf -> -Infinity
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| 126 | ddmxg134 maxmag 1000 -Inf -> -Infinity
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| 127 | ddmxg135 maxmag Inf -Inf -> Infinity
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| 128 |
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| 129 | -- 2004.08.02 754r chooses number over NaN in mixed cases
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| 130 | ddmxg141 maxmag NaN -Inf -> -Infinity
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| 131 | ddmxg142 maxmag NaN -1000 -> -1000
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| 132 | ddmxg143 maxmag NaN -1 -> -1
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| 133 | ddmxg144 maxmag NaN -0 -> -0
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| 134 | ddmxg145 maxmag NaN 0 -> 0
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| 135 | ddmxg146 maxmag NaN 1 -> 1
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| 136 | ddmxg147 maxmag NaN 1000 -> 1000
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| 137 | ddmxg148 maxmag NaN Inf -> Infinity
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| 138 | ddmxg149 maxmag NaN NaN -> NaN
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| 139 | ddmxg150 maxmag -Inf NaN -> -Infinity
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| 140 | ddmxg151 maxmag -1000 NaN -> -1000
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| 141 | ddmxg152 maxmag -1 NaN -> -1
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| 142 | ddmxg153 maxmag -0 NaN -> -0
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| 143 | ddmxg154 maxmag 0 NaN -> 0
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| 144 | ddmxg155 maxmag 1 NaN -> 1
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| 145 | ddmxg156 maxmag 1000 NaN -> 1000
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| 146 | ddmxg157 maxmag Inf NaN -> Infinity
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| 147 |
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| 148 | ddmxg161 maxmag sNaN -Inf -> NaN Invalid_operation
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| 149 | ddmxg162 maxmag sNaN -1000 -> NaN Invalid_operation
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| 150 | ddmxg163 maxmag sNaN -1 -> NaN Invalid_operation
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| 151 | ddmxg164 maxmag sNaN -0 -> NaN Invalid_operation
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| 152 | ddmxg165 maxmag sNaN 0 -> NaN Invalid_operation
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| 153 | ddmxg166 maxmag sNaN 1 -> NaN Invalid_operation
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| 154 | ddmxg167 maxmag sNaN 1000 -> NaN Invalid_operation
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| 155 | ddmxg168 maxmag sNaN NaN -> NaN Invalid_operation
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| 156 | ddmxg169 maxmag sNaN sNaN -> NaN Invalid_operation
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| 157 | ddmxg170 maxmag NaN sNaN -> NaN Invalid_operation
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| 158 | ddmxg171 maxmag -Inf sNaN -> NaN Invalid_operation
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| 159 | ddmxg172 maxmag -1000 sNaN -> NaN Invalid_operation
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| 160 | ddmxg173 maxmag -1 sNaN -> NaN Invalid_operation
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| 161 | ddmxg174 maxmag -0 sNaN -> NaN Invalid_operation
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| 162 | ddmxg175 maxmag 0 sNaN -> NaN Invalid_operation
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| 163 | ddmxg176 maxmag 1 sNaN -> NaN Invalid_operation
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| 164 | ddmxg177 maxmag 1000 sNaN -> NaN Invalid_operation
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| 165 | ddmxg178 maxmag Inf sNaN -> NaN Invalid_operation
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| 166 | ddmxg179 maxmag NaN sNaN -> NaN Invalid_operation
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| 167 |
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| 168 | -- propagating NaNs
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| 169 | ddmxg181 maxmag NaN9 -Inf -> -Infinity
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| 170 | ddmxg182 maxmag NaN8 9 -> 9
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| 171 | ddmxg183 maxmag -NaN7 Inf -> Infinity
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| 172 |
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| 173 | ddmxg184 maxmag -NaN1 NaN11 -> -NaN1
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| 174 | ddmxg185 maxmag NaN2 NaN12 -> NaN2
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| 175 | ddmxg186 maxmag -NaN13 -NaN7 -> -NaN13
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| 176 | ddmxg187 maxmag NaN14 -NaN5 -> NaN14
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| 177 |
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| 178 | ddmxg188 maxmag -Inf NaN4 -> -Infinity
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| 179 | ddmxg189 maxmag -9 -NaN3 -> -9
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| 180 | ddmxg190 maxmag Inf NaN2 -> Infinity
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| 181 |
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| 182 | ddmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
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| 183 | ddmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
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| 184 | ddmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
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| 185 | ddmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
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| 186 | ddmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
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| 187 | ddmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
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| 188 | ddmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
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| 189 | ddmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
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| 190 | ddmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation
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| 191 |
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| 192 | -- old rounding checks
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| 193 | ddmxg221 maxmag 12345678000 1 -> 12345678000
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| 194 | ddmxg222 maxmag 1 12345678000 -> 12345678000
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| 195 | ddmxg223 maxmag 1234567800 1 -> 1234567800
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| 196 | ddmxg224 maxmag 1 1234567800 -> 1234567800
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| 197 | ddmxg225 maxmag 1234567890 1 -> 1234567890
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| 198 | ddmxg226 maxmag 1 1234567890 -> 1234567890
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| 199 | ddmxg227 maxmag 1234567891 1 -> 1234567891
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| 200 | ddmxg228 maxmag 1 1234567891 -> 1234567891
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| 201 | ddmxg229 maxmag 12345678901 1 -> 12345678901
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| 202 | ddmxg230 maxmag 1 12345678901 -> 12345678901
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| 203 | ddmxg231 maxmag 1234567896 1 -> 1234567896
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| 204 | ddmxg232 maxmag 1 1234567896 -> 1234567896
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| 205 | ddmxg233 maxmag -1234567891 1 -> -1234567891
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| 206 | ddmxg234 maxmag 1 -1234567891 -> -1234567891
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| 207 | ddmxg235 maxmag -12345678901 1 -> -12345678901
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| 208 | ddmxg236 maxmag 1 -12345678901 -> -12345678901
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| 209 | ddmxg237 maxmag -1234567896 1 -> -1234567896
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| 210 | ddmxg238 maxmag 1 -1234567896 -> -1234567896
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| 211 |
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| 212 | -- from examples
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| 213 | ddmxg280 maxmag '3' '2' -> '3'
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| 214 | ddmxg281 maxmag '-10' '3' -> '-10'
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| 215 | ddmxg282 maxmag '1.0' '1' -> '1'
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| 216 | ddmxg283 maxmag '1' '1.0' -> '1'
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| 217 | ddmxg284 maxmag '7' 'NaN' -> '7'
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| 218 |
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| 219 | -- expanded list from min/max 754r purple prose
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| 220 | -- [explicit tests for exponent ordering]
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| 221 | ddmxg401 maxmag Inf 1.1 -> Infinity
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| 222 | ddmxg402 maxmag 1.1 1 -> 1.1
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| 223 | ddmxg403 maxmag 1 1.0 -> 1
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| 224 | ddmxg404 maxmag 1.0 0.1 -> 1.0
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| 225 | ddmxg405 maxmag 0.1 0.10 -> 0.1
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| 226 | ddmxg406 maxmag 0.10 0.100 -> 0.10
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| 227 | ddmxg407 maxmag 0.10 0 -> 0.10
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| 228 | ddmxg408 maxmag 0 0.0 -> 0
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| 229 | ddmxg409 maxmag 0.0 -0 -> 0.0
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| 230 | ddmxg410 maxmag 0.0 -0.0 -> 0.0
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| 231 | ddmxg411 maxmag 0.00 -0.0 -> 0.00
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| 232 | ddmxg412 maxmag 0.0 -0.00 -> 0.0
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| 233 | ddmxg413 maxmag 0 -0.0 -> 0
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| 234 | ddmxg414 maxmag 0 -0 -> 0
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| 235 | ddmxg415 maxmag -0.0 -0 -> -0.0
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| 236 | ddmxg416 maxmag -0 -0.100 -> -0.100
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| 237 | ddmxg417 maxmag -0.100 -0.10 -> -0.100
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| 238 | ddmxg418 maxmag -0.10 -0.1 -> -0.10
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| 239 | ddmxg419 maxmag -0.1 -1.0 -> -1.0
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| 240 | ddmxg420 maxmag -1.0 -1 -> -1.0
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| 241 | ddmxg421 maxmag -1 -1.1 -> -1.1
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| 242 | ddmxg423 maxmag -1.1 -Inf -> -Infinity
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| 243 | -- same with operands reversed
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| 244 | ddmxg431 maxmag 1.1 Inf -> Infinity
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| 245 | ddmxg432 maxmag 1 1.1 -> 1.1
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| 246 | ddmxg433 maxmag 1.0 1 -> 1
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| 247 | ddmxg434 maxmag 0.1 1.0 -> 1.0
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| 248 | ddmxg435 maxmag 0.10 0.1 -> 0.1
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| 249 | ddmxg436 maxmag 0.100 0.10 -> 0.10
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| 250 | ddmxg437 maxmag 0 0.10 -> 0.10
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| 251 | ddmxg438 maxmag 0.0 0 -> 0
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| 252 | ddmxg439 maxmag -0 0.0 -> 0.0
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| 253 | ddmxg440 maxmag -0.0 0.0 -> 0.0
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| 254 | ddmxg441 maxmag -0.0 0.00 -> 0.00
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| 255 | ddmxg442 maxmag -0.00 0.0 -> 0.0
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| 256 | ddmxg443 maxmag -0.0 0 -> 0
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| 257 | ddmxg444 maxmag -0 0 -> 0
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| 258 | ddmxg445 maxmag -0 -0.0 -> -0.0
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| 259 | ddmxg446 maxmag -0.100 -0 -> -0.100
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| 260 | ddmxg447 maxmag -0.10 -0.100 -> -0.100
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| 261 | ddmxg448 maxmag -0.1 -0.10 -> -0.10
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| 262 | ddmxg449 maxmag -1.0 -0.1 -> -1.0
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| 263 | ddmxg450 maxmag -1 -1.0 -> -1.0
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| 264 | ddmxg451 maxmag -1.1 -1 -> -1.1
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| 265 | ddmxg453 maxmag -Inf -1.1 -> -Infinity
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| 266 | -- largies
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| 267 | ddmxg460 maxmag 1000 1E+3 -> 1E+3
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| 268 | ddmxg461 maxmag 1E+3 1000 -> 1E+3
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| 269 | ddmxg462 maxmag 1000 -1E+3 -> 1000
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| 270 | ddmxg463 maxmag 1E+3 -1000 -> 1E+3
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| 271 | ddmxg464 maxmag -1000 1E+3 -> 1E+3
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| 272 | ddmxg465 maxmag -1E+3 1000 -> 1000
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| 273 | ddmxg466 maxmag -1000 -1E+3 -> -1000
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| 274 | ddmxg467 maxmag -1E+3 -1000 -> -1000
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| 275 |
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| 276 | -- subnormals
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| 277 | ddmxg510 maxmag 1.00E-383 0 -> 1.00E-383
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| 278 | ddmxg511 maxmag 0.1E-383 0 -> 1E-384 Subnormal
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| 279 | ddmxg512 maxmag 0.10E-383 0 -> 1.0E-384 Subnormal
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| 280 | ddmxg513 maxmag 0.100E-383 0 -> 1.00E-384 Subnormal
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| 281 | ddmxg514 maxmag 0.01E-383 0 -> 1E-385 Subnormal
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| 282 | ddmxg515 maxmag 0.999E-383 0 -> 9.99E-384 Subnormal
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| 283 | ddmxg516 maxmag 0.099E-383 0 -> 9.9E-385 Subnormal
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| 284 | ddmxg517 maxmag 0.009E-383 0 -> 9E-386 Subnormal
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| 285 | ddmxg518 maxmag 0.001E-383 0 -> 1E-386 Subnormal
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| 286 | ddmxg519 maxmag 0.0009E-383 0 -> 9E-387 Subnormal
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| 287 | ddmxg520 maxmag 0.0001E-383 0 -> 1E-387 Subnormal
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| 288 |
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| 289 | ddmxg530 maxmag -1.00E-383 0 -> -1.00E-383
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| 290 | ddmxg531 maxmag -0.1E-383 0 -> -1E-384 Subnormal
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| 291 | ddmxg532 maxmag -0.10E-383 0 -> -1.0E-384 Subnormal
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| 292 | ddmxg533 maxmag -0.100E-383 0 -> -1.00E-384 Subnormal
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| 293 | ddmxg534 maxmag -0.01E-383 0 -> -1E-385 Subnormal
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| 294 | ddmxg535 maxmag -0.999E-383 0 -> -9.99E-384 Subnormal
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| 295 | ddmxg536 maxmag -0.099E-383 0 -> -9.9E-385 Subnormal
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| 296 | ddmxg537 maxmag -0.009E-383 0 -> -9E-386 Subnormal
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| 297 | ddmxg538 maxmag -0.001E-383 0 -> -1E-386 Subnormal
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| 298 | ddmxg539 maxmag -0.0009E-383 0 -> -9E-387 Subnormal
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| 299 | ddmxg540 maxmag -0.0001E-383 0 -> -1E-387 Subnormal
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| 300 |
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| 301 | -- Null tests
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| 302 | ddmxg900 maxmag 10 # -> NaN Invalid_operation
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| 303 | ddmxg901 maxmag # 10 -> NaN Invalid_operation
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| 304 |
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