| 1 | ------------------------------------------------------------------------
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| 2 | -- ddXor.decTest -- digitwise logical XOR for decDoubles --
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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 | precision: 16
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| 23 | maxExponent: 384
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| 24 | minExponent: -383
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| 25 | extended: 1
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| 26 | clamp: 1
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| 27 | rounding: half_even
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| 28 |
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| 29 | -- Sanity check (truth table)
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| 30 | ddxor001 xor 0 0 -> 0
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| 31 | ddxor002 xor 0 1 -> 1
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| 32 | ddxor003 xor 1 0 -> 1
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| 33 | ddxor004 xor 1 1 -> 0
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| 34 | ddxor005 xor 1100 1010 -> 110
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| 35 | -- and at msd and msd-1
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| 36 | ddxor006 xor 0000000000000000 0000000000000000 -> 0
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| 37 | ddxor007 xor 0000000000000000 1000000000000000 -> 1000000000000000
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| 38 | ddxor008 xor 1000000000000000 0000000000000000 -> 1000000000000000
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| 39 | ddxor009 xor 1000000000000000 1000000000000000 -> 0
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| 40 | ddxor010 xor 0000000000000000 0000000000000000 -> 0
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| 41 | ddxor011 xor 0000000000000000 0100000000000000 -> 100000000000000
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| 42 | ddxor012 xor 0100000000000000 0000000000000000 -> 100000000000000
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| 43 | ddxor013 xor 0100000000000000 0100000000000000 -> 0
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| 44 |
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| 45 | -- Various lengths
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| 46 | -- 1234567890123456 1234567890123456 1234567890123456
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| 47 | ddxor021 xor 1111111110000000 1111111110000000 -> 0
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| 48 | ddxor022 xor 111111110000000 111111110000000 -> 0
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| 49 | ddxor023 xor 11111110000000 11111110000000 -> 0
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| 50 | ddxor024 xor 1111110000000 1111110000000 -> 0
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| 51 | ddxor025 xor 111110000000 111110000000 -> 0
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| 52 | ddxor026 xor 11110000000 11110000000 -> 0
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| 53 | ddxor027 xor 1110000000 1110000000 -> 0
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| 54 | ddxor028 xor 110000000 110000000 -> 0
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| 55 | ddxor029 xor 10000000 10000000 -> 0
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| 56 | ddxor030 xor 1000000 1000000 -> 0
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| 57 | ddxor031 xor 100000 100000 -> 0
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| 58 | ddxor032 xor 10000 10000 -> 0
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| 59 | ddxor033 xor 1000 1000 -> 0
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| 60 | ddxor034 xor 100 100 -> 0
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| 61 | ddxor035 xor 10 10 -> 0
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| 62 | ddxor036 xor 1 1 -> 0
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| 63 |
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| 64 | ddxor040 xor 111111111 111111111111 -> 111000000000
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| 65 | ddxor041 xor 11111111 111111111111 -> 111100000000
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| 66 | ddxor042 xor 11111111 111111111 -> 100000000
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| 67 | ddxor043 xor 1111111 100000010 -> 101111101
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| 68 | ddxor044 xor 111111 100000100 -> 100111011
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| 69 | ddxor045 xor 11111 100001000 -> 100010111
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| 70 | ddxor046 xor 1111 100010000 -> 100011111
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| 71 | ddxor047 xor 111 100100000 -> 100100111
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| 72 | ddxor048 xor 11 101000000 -> 101000011
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| 73 | ddxor049 xor 1 110000000 -> 110000001
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| 74 |
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| 75 | ddxor050 xor 1111111111 1 -> 1111111110
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| 76 | ddxor051 xor 111111111 1 -> 111111110
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| 77 | ddxor052 xor 11111111 1 -> 11111110
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| 78 | ddxor053 xor 1111111 1 -> 1111110
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| 79 | ddxor054 xor 111111 1 -> 111110
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| 80 | ddxor055 xor 11111 1 -> 11110
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| 81 | ddxor056 xor 1111 1 -> 1110
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| 82 | ddxor057 xor 111 1 -> 110
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| 83 | ddxor058 xor 11 1 -> 10
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| 84 | ddxor059 xor 1 1 -> 0
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| 85 |
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| 86 | ddxor060 xor 1111111111 0 -> 1111111111
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| 87 | ddxor061 xor 111111111 0 -> 111111111
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| 88 | ddxor062 xor 11111111 0 -> 11111111
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| 89 | ddxor063 xor 1111111 0 -> 1111111
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| 90 | ddxor064 xor 111111 0 -> 111111
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| 91 | ddxor065 xor 11111 0 -> 11111
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| 92 | ddxor066 xor 1111 0 -> 1111
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| 93 | ddxor067 xor 111 0 -> 111
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| 94 | ddxor068 xor 11 0 -> 11
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| 95 | ddxor069 xor 1 0 -> 1
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| 96 |
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| 97 | ddxor070 xor 1 1111111111 -> 1111111110
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| 98 | ddxor071 xor 1 111111111 -> 111111110
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| 99 | ddxor072 xor 1 11111111 -> 11111110
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| 100 | ddxor073 xor 1 1111111 -> 1111110
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| 101 | ddxor074 xor 1 111111 -> 111110
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| 102 | ddxor075 xor 1 11111 -> 11110
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| 103 | ddxor076 xor 1 1111 -> 1110
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| 104 | ddxor077 xor 1 111 -> 110
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| 105 | ddxor078 xor 1 11 -> 10
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| 106 | ddxor079 xor 1 1 -> 0
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| 107 |
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| 108 | ddxor080 xor 0 1111111111 -> 1111111111
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| 109 | ddxor081 xor 0 111111111 -> 111111111
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| 110 | ddxor082 xor 0 11111111 -> 11111111
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| 111 | ddxor083 xor 0 1111111 -> 1111111
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| 112 | ddxor084 xor 0 111111 -> 111111
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| 113 | ddxor085 xor 0 11111 -> 11111
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| 114 | ddxor086 xor 0 1111 -> 1111
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| 115 | ddxor087 xor 0 111 -> 111
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| 116 | ddxor088 xor 0 11 -> 11
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| 117 | ddxor089 xor 0 1 -> 1
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| 118 |
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| 119 | ddxor090 xor 011111111 111101111 -> 100010000
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| 120 | ddxor091 xor 101111111 111101111 -> 10010000
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| 121 | ddxor092 xor 110111111 111101111 -> 1010000
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| 122 | ddxor093 xor 111011111 111101111 -> 110000
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| 123 | ddxor094 xor 111101111 111101111 -> 0
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| 124 | ddxor095 xor 111110111 111101111 -> 11000
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| 125 | ddxor096 xor 111111011 111101111 -> 10100
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| 126 | ddxor097 xor 111111101 111101111 -> 10010
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| 127 | ddxor098 xor 111111110 111101111 -> 10001
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| 128 |
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| 129 | ddxor100 xor 111101111 011111111 -> 100010000
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| 130 | ddxor101 xor 111101111 101111111 -> 10010000
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| 131 | ddxor102 xor 111101111 110111111 -> 1010000
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| 132 | ddxor103 xor 111101111 111011111 -> 110000
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| 133 | ddxor104 xor 111101111 111101111 -> 0
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| 134 | ddxor105 xor 111101111 111110111 -> 11000
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| 135 | ddxor106 xor 111101111 111111011 -> 10100
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| 136 | ddxor107 xor 111101111 111111101 -> 10010
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| 137 | ddxor108 xor 111101111 111111110 -> 10001
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| 138 |
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| 139 | -- non-0/1 should not be accepted, nor should signs
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| 140 | ddxor220 xor 111111112 111111111 -> NaN Invalid_operation
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| 141 | ddxor221 xor 333333333 333333333 -> NaN Invalid_operation
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| 142 | ddxor222 xor 555555555 555555555 -> NaN Invalid_operation
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| 143 | ddxor223 xor 777777777 777777777 -> NaN Invalid_operation
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| 144 | ddxor224 xor 999999999 999999999 -> NaN Invalid_operation
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| 145 | ddxor225 xor 222222222 999999999 -> NaN Invalid_operation
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| 146 | ddxor226 xor 444444444 999999999 -> NaN Invalid_operation
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| 147 | ddxor227 xor 666666666 999999999 -> NaN Invalid_operation
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| 148 | ddxor228 xor 888888888 999999999 -> NaN Invalid_operation
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| 149 | ddxor229 xor 999999999 222222222 -> NaN Invalid_operation
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| 150 | ddxor230 xor 999999999 444444444 -> NaN Invalid_operation
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| 151 | ddxor231 xor 999999999 666666666 -> NaN Invalid_operation
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| 152 | ddxor232 xor 999999999 888888888 -> NaN Invalid_operation
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| 153 | -- a few randoms
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| 154 | ddxor240 xor 567468689 -934981942 -> NaN Invalid_operation
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| 155 | ddxor241 xor 567367689 934981942 -> NaN Invalid_operation
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| 156 | ddxor242 xor -631917772 -706014634 -> NaN Invalid_operation
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| 157 | ddxor243 xor -756253257 138579234 -> NaN Invalid_operation
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| 158 | ddxor244 xor 835590149 567435400 -> NaN Invalid_operation
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| 159 | -- test MSD
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| 160 | ddxor250 xor 2000000000000000 1000000000000000 -> NaN Invalid_operation
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| 161 | ddxor251 xor 7000000000000000 1000000000000000 -> NaN Invalid_operation
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| 162 | ddxor252 xor 8000000000000000 1000000000000000 -> NaN Invalid_operation
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| 163 | ddxor253 xor 9000000000000000 1000000000000000 -> NaN Invalid_operation
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| 164 | ddxor254 xor 2000000000000000 0000000000000000 -> NaN Invalid_operation
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| 165 | ddxor255 xor 7000000000000000 0000000000000000 -> NaN Invalid_operation
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| 166 | ddxor256 xor 8000000000000000 0000000000000000 -> NaN Invalid_operation
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| 167 | ddxor257 xor 9000000000000000 0000000000000000 -> NaN Invalid_operation
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| 168 | ddxor258 xor 1000000000000000 2000000000000000 -> NaN Invalid_operation
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| 169 | ddxor259 xor 1000000000000000 7000000000000000 -> NaN Invalid_operation
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| 170 | ddxor260 xor 1000000000000000 8000000000000000 -> NaN Invalid_operation
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| 171 | ddxor261 xor 1000000000000000 9000000000000000 -> NaN Invalid_operation
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| 172 | ddxor262 xor 0000000000000000 2000000000000000 -> NaN Invalid_operation
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| 173 | ddxor263 xor 0000000000000000 7000000000000000 -> NaN Invalid_operation
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| 174 | ddxor264 xor 0000000000000000 8000000000000000 -> NaN Invalid_operation
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| 175 | ddxor265 xor 0000000000000000 9000000000000000 -> NaN Invalid_operation
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| 176 | -- test MSD-1
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| 177 | ddxor270 xor 0200001000000000 1000100000000010 -> NaN Invalid_operation
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| 178 | ddxor271 xor 0700000100000000 1000010000000100 -> NaN Invalid_operation
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| 179 | ddxor272 xor 0800000010000000 1000001000001000 -> NaN Invalid_operation
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| 180 | ddxor273 xor 0900000001000000 1000000100010000 -> NaN Invalid_operation
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| 181 | ddxor274 xor 1000000000100000 0200000010100000 -> NaN Invalid_operation
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| 182 | ddxor275 xor 1000000000010000 0700000001000000 -> NaN Invalid_operation
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| 183 | ddxor276 xor 1000000000001000 0800000010100000 -> NaN Invalid_operation
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| 184 | ddxor277 xor 1000000000000100 0900000000010000 -> NaN Invalid_operation
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| 185 | -- test LSD
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| 186 | ddxor280 xor 0010000000000002 1000000100000001 -> NaN Invalid_operation
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| 187 | ddxor281 xor 0001000000000007 1000001000000011 -> NaN Invalid_operation
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| 188 | ddxor282 xor 0000100000000008 1000010000000001 -> NaN Invalid_operation
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| 189 | ddxor283 xor 0000010000000009 1000100000000001 -> NaN Invalid_operation
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| 190 | ddxor284 xor 1000001000000000 0001000000000002 -> NaN Invalid_operation
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| 191 | ddxor285 xor 1000000100000000 0010000000000007 -> NaN Invalid_operation
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| 192 | ddxor286 xor 1000000010000000 0100000000000008 -> NaN Invalid_operation
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| 193 | ddxor287 xor 1000000001000000 1000000000000009 -> NaN Invalid_operation
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| 194 | -- test Middie
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| 195 | ddxor288 xor 0010000020000000 1000001000000000 -> NaN Invalid_operation
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| 196 | ddxor289 xor 0001000070000001 1000000100000000 -> NaN Invalid_operation
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| 197 | ddxor290 xor 0000100080000010 1000000010000000 -> NaN Invalid_operation
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| 198 | ddxor291 xor 0000010090000100 1000000001000000 -> NaN Invalid_operation
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| 199 | ddxor292 xor 1000001000001000 0000000020100000 -> NaN Invalid_operation
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| 200 | ddxor293 xor 1000000100010000 0000000070010000 -> NaN Invalid_operation
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| 201 | ddxor294 xor 1000000010100000 0000000080001000 -> NaN Invalid_operation
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| 202 | ddxor295 xor 1000000001000000 0000000090000100 -> NaN Invalid_operation
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| 203 | -- signs
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| 204 | ddxor296 xor -1000000001000000 -0000010000000100 -> NaN Invalid_operation
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| 205 | ddxor297 xor -1000000001000000 0000000010000100 -> NaN Invalid_operation
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| 206 | ddxor298 xor 1000000001000000 -0000001000000100 -> NaN Invalid_operation
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| 207 | ddxor299 xor 1000000001000000 0000000011000100 -> 1000000010000100
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| 208 |
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| 209 | -- Nmax, Nmin, Ntiny-like
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| 210 | ddxor331 xor 2 9.99999999E+299 -> NaN Invalid_operation
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| 211 | ddxor332 xor 3 1E-299 -> NaN Invalid_operation
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| 212 | ddxor333 xor 4 1.00000000E-299 -> NaN Invalid_operation
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| 213 | ddxor334 xor 5 1E-200 -> NaN Invalid_operation
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| 214 | ddxor335 xor 6 -1E-200 -> NaN Invalid_operation
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| 215 | ddxor336 xor 7 -1.00000000E-299 -> NaN Invalid_operation
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| 216 | ddxor337 xor 8 -1E-299 -> NaN Invalid_operation
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| 217 | ddxor338 xor 9 -9.99999999E+299 -> NaN Invalid_operation
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| 218 | ddxor341 xor 9.99999999E+299 -18 -> NaN Invalid_operation
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| 219 | ddxor342 xor 1E-299 01 -> NaN Invalid_operation
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| 220 | ddxor343 xor 1.00000000E-299 -18 -> NaN Invalid_operation
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| 221 | ddxor344 xor 1E-208 18 -> NaN Invalid_operation
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| 222 | ddxor345 xor -1E-207 -10 -> NaN Invalid_operation
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| 223 | ddxor346 xor -1.00000000E-299 18 -> NaN Invalid_operation
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| 224 | ddxor347 xor -1E-299 10 -> NaN Invalid_operation
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| 225 | ddxor348 xor -9.99999999E+299 -18 -> NaN Invalid_operation
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| 226 |
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| 227 | -- A few other non-integers
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| 228 | ddxor361 xor 1.0 1 -> NaN Invalid_operation
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| 229 | ddxor362 xor 1E+1 1 -> NaN Invalid_operation
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| 230 | ddxor363 xor 0.0 1 -> NaN Invalid_operation
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| 231 | ddxor364 xor 0E+1 1 -> NaN Invalid_operation
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| 232 | ddxor365 xor 9.9 1 -> NaN Invalid_operation
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| 233 | ddxor366 xor 9E+1 1 -> NaN Invalid_operation
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| 234 | ddxor371 xor 0 1.0 -> NaN Invalid_operation
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| 235 | ddxor372 xor 0 1E+1 -> NaN Invalid_operation
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| 236 | ddxor373 xor 0 0.0 -> NaN Invalid_operation
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| 237 | ddxor374 xor 0 0E+1 -> NaN Invalid_operation
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| 238 | ddxor375 xor 0 9.9 -> NaN Invalid_operation
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| 239 | ddxor376 xor 0 9E+1 -> NaN Invalid_operation
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| 240 |
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| 241 | -- All Specials are in error
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| 242 | ddxor780 xor -Inf -Inf -> NaN Invalid_operation
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| 243 | ddxor781 xor -Inf -1000 -> NaN Invalid_operation
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| 244 | ddxor782 xor -Inf -1 -> NaN Invalid_operation
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| 245 | ddxor783 xor -Inf -0 -> NaN Invalid_operation
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| 246 | ddxor784 xor -Inf 0 -> NaN Invalid_operation
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| 247 | ddxor785 xor -Inf 1 -> NaN Invalid_operation
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| 248 | ddxor786 xor -Inf 1000 -> NaN Invalid_operation
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| 249 | ddxor787 xor -1000 -Inf -> NaN Invalid_operation
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| 250 | ddxor788 xor -Inf -Inf -> NaN Invalid_operation
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| 251 | ddxor789 xor -1 -Inf -> NaN Invalid_operation
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| 252 | ddxor790 xor -0 -Inf -> NaN Invalid_operation
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| 253 | ddxor791 xor 0 -Inf -> NaN Invalid_operation
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| 254 | ddxor792 xor 1 -Inf -> NaN Invalid_operation
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| 255 | ddxor793 xor 1000 -Inf -> NaN Invalid_operation
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| 256 | ddxor794 xor Inf -Inf -> NaN Invalid_operation
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| 257 |
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| 258 | ddxor800 xor Inf -Inf -> NaN Invalid_operation
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| 259 | ddxor801 xor Inf -1000 -> NaN Invalid_operation
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| 260 | ddxor802 xor Inf -1 -> NaN Invalid_operation
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| 261 | ddxor803 xor Inf -0 -> NaN Invalid_operation
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| 262 | ddxor804 xor Inf 0 -> NaN Invalid_operation
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| 263 | ddxor805 xor Inf 1 -> NaN Invalid_operation
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| 264 | ddxor806 xor Inf 1000 -> NaN Invalid_operation
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| 265 | ddxor807 xor Inf Inf -> NaN Invalid_operation
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| 266 | ddxor808 xor -1000 Inf -> NaN Invalid_operation
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| 267 | ddxor809 xor -Inf Inf -> NaN Invalid_operation
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| 268 | ddxor810 xor -1 Inf -> NaN Invalid_operation
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| 269 | ddxor811 xor -0 Inf -> NaN Invalid_operation
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| 270 | ddxor812 xor 0 Inf -> NaN Invalid_operation
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| 271 | ddxor813 xor 1 Inf -> NaN Invalid_operation
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| 272 | ddxor814 xor 1000 Inf -> NaN Invalid_operation
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| 273 | ddxor815 xor Inf Inf -> NaN Invalid_operation
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| 274 |
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| 275 | ddxor821 xor NaN -Inf -> NaN Invalid_operation
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| 276 | ddxor822 xor NaN -1000 -> NaN Invalid_operation
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| 277 | ddxor823 xor NaN -1 -> NaN Invalid_operation
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| 278 | ddxor824 xor NaN -0 -> NaN Invalid_operation
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| 279 | ddxor825 xor NaN 0 -> NaN Invalid_operation
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| 280 | ddxor826 xor NaN 1 -> NaN Invalid_operation
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| 281 | ddxor827 xor NaN 1000 -> NaN Invalid_operation
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| 282 | ddxor828 xor NaN Inf -> NaN Invalid_operation
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| 283 | ddxor829 xor NaN NaN -> NaN Invalid_operation
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| 284 | ddxor830 xor -Inf NaN -> NaN Invalid_operation
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| 285 | ddxor831 xor -1000 NaN -> NaN Invalid_operation
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| 286 | ddxor832 xor -1 NaN -> NaN Invalid_operation
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| 287 | ddxor833 xor -0 NaN -> NaN Invalid_operation
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| 288 | ddxor834 xor 0 NaN -> NaN Invalid_operation
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| 289 | ddxor835 xor 1 NaN -> NaN Invalid_operation
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| 290 | ddxor836 xor 1000 NaN -> NaN Invalid_operation
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| 291 | ddxor837 xor Inf NaN -> NaN Invalid_operation
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| 292 |
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| 293 | ddxor841 xor sNaN -Inf -> NaN Invalid_operation
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| 294 | ddxor842 xor sNaN -1000 -> NaN Invalid_operation
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| 295 | ddxor843 xor sNaN -1 -> NaN Invalid_operation
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| 296 | ddxor844 xor sNaN -0 -> NaN Invalid_operation
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| 297 | ddxor845 xor sNaN 0 -> NaN Invalid_operation
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| 298 | ddxor846 xor sNaN 1 -> NaN Invalid_operation
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| 299 | ddxor847 xor sNaN 1000 -> NaN Invalid_operation
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| 300 | ddxor848 xor sNaN NaN -> NaN Invalid_operation
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| 301 | ddxor849 xor sNaN sNaN -> NaN Invalid_operation
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| 302 | ddxor850 xor NaN sNaN -> NaN Invalid_operation
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| 303 | ddxor851 xor -Inf sNaN -> NaN Invalid_operation
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| 304 | ddxor852 xor -1000 sNaN -> NaN Invalid_operation
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| 305 | ddxor853 xor -1 sNaN -> NaN Invalid_operation
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| 306 | ddxor854 xor -0 sNaN -> NaN Invalid_operation
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| 307 | ddxor855 xor 0 sNaN -> NaN Invalid_operation
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| 308 | ddxor856 xor 1 sNaN -> NaN Invalid_operation
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| 309 | ddxor857 xor 1000 sNaN -> NaN Invalid_operation
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| 310 | ddxor858 xor Inf sNaN -> NaN Invalid_operation
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| 311 | ddxor859 xor NaN sNaN -> NaN Invalid_operation
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| 312 |
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| 313 | -- propagating NaNs
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| 314 | ddxor861 xor NaN1 -Inf -> NaN Invalid_operation
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| 315 | ddxor862 xor +NaN2 -1000 -> NaN Invalid_operation
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| 316 | ddxor863 xor NaN3 1000 -> NaN Invalid_operation
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| 317 | ddxor864 xor NaN4 Inf -> NaN Invalid_operation
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| 318 | ddxor865 xor NaN5 +NaN6 -> NaN Invalid_operation
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| 319 | ddxor866 xor -Inf NaN7 -> NaN Invalid_operation
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| 320 | ddxor867 xor -1000 NaN8 -> NaN Invalid_operation
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| 321 | ddxor868 xor 1000 NaN9 -> NaN Invalid_operation
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| 322 | ddxor869 xor Inf +NaN10 -> NaN Invalid_operation
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| 323 | ddxor871 xor sNaN11 -Inf -> NaN Invalid_operation
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| 324 | ddxor872 xor sNaN12 -1000 -> NaN Invalid_operation
|
|---|
| 325 | ddxor873 xor sNaN13 1000 -> NaN Invalid_operation
|
|---|
| 326 | ddxor874 xor sNaN14 NaN17 -> NaN Invalid_operation
|
|---|
| 327 | ddxor875 xor sNaN15 sNaN18 -> NaN Invalid_operation
|
|---|
| 328 | ddxor876 xor NaN16 sNaN19 -> NaN Invalid_operation
|
|---|
| 329 | ddxor877 xor -Inf +sNaN20 -> NaN Invalid_operation
|
|---|
| 330 | ddxor878 xor -1000 sNaN21 -> NaN Invalid_operation
|
|---|
| 331 | ddxor879 xor 1000 sNaN22 -> NaN Invalid_operation
|
|---|
| 332 | ddxor880 xor Inf sNaN23 -> NaN Invalid_operation
|
|---|
| 333 | ddxor881 xor +NaN25 +sNaN24 -> NaN Invalid_operation
|
|---|
| 334 | ddxor882 xor -NaN26 NaN28 -> NaN Invalid_operation
|
|---|
| 335 | ddxor883 xor -sNaN27 sNaN29 -> NaN Invalid_operation
|
|---|
| 336 | ddxor884 xor 1000 -NaN30 -> NaN Invalid_operation
|
|---|
| 337 | ddxor885 xor 1000 -sNaN31 -> NaN Invalid_operation
|
|---|
