| 1 | ------------------------------------------------------------------------
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| 2 | -- multiply.decTest -- decimal multiplication --
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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 | extended: 1
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| 23 | precision: 9
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| 24 | rounding: half_up
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| 25 | maxExponent: 384
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| 26 | minexponent: -383
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| 27 |
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| 28 | -- sanity checks (as base, above)
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| 29 | mulx000 multiply 2 2 -> 4
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| 30 | mulx001 multiply 2 3 -> 6
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| 31 | mulx002 multiply 5 1 -> 5
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| 32 | mulx003 multiply 5 2 -> 10
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| 33 | mulx004 multiply 1.20 2 -> 2.40
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| 34 | mulx005 multiply 1.20 0 -> 0.00
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| 35 | mulx006 multiply 1.20 -2 -> -2.40
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| 36 | mulx007 multiply -1.20 2 -> -2.40
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| 37 | mulx008 multiply -1.20 0 -> -0.00
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| 38 | mulx009 multiply -1.20 -2 -> 2.40
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| 39 | mulx010 multiply 5.09 7.1 -> 36.139
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| 40 | mulx011 multiply 2.5 4 -> 10.0
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| 41 | mulx012 multiply 2.50 4 -> 10.00
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| 42 | mulx013 multiply 1.23456789 1.00000000 -> 1.23456789 Rounded
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| 43 | mulx014 multiply 9.999999999 9.999999999 -> 100.000000 Inexact Rounded
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| 44 | mulx015 multiply 2.50 4 -> 10.00
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| 45 | precision: 6
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| 46 | mulx016 multiply 2.50 4 -> 10.00
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| 47 | mulx017 multiply 9.999999999 9.999999999 -> 100.000 Inexact Rounded
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| 48 | mulx018 multiply 9.999999999 -9.999999999 -> -100.000 Inexact Rounded
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| 49 | mulx019 multiply -9.999999999 9.999999999 -> -100.000 Inexact Rounded
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| 50 | mulx020 multiply -9.999999999 -9.999999999 -> 100.000 Inexact Rounded
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| 51 |
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| 52 | -- 1999.12.21: next one is a edge case if intermediate longs are used
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| 53 | precision: 15
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| 54 | mulx059 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded
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| 55 | precision: 30
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| 56 | mulx160 multiply 999999999999 9765625 -> 9765624999990234375
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| 57 | precision: 9
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| 58 | -----
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| 59 |
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| 60 | -- zeros, etc.
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| 61 | mulx021 multiply 0 0 -> 0
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| 62 | mulx022 multiply 0 -0 -> -0
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| 63 | mulx023 multiply -0 0 -> -0
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| 64 | mulx024 multiply -0 -0 -> 0
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| 65 | mulx025 multiply -0.0 -0.0 -> 0.00
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| 66 | mulx026 multiply -0.0 -0.0 -> 0.00
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| 67 | mulx027 multiply -0.0 -0.0 -> 0.00
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| 68 | mulx028 multiply -0.0 -0.0 -> 0.00
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| 69 | mulx030 multiply 5.00 1E-3 -> 0.00500
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| 70 | mulx031 multiply 00.00 0.000 -> 0.00000
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| 71 | mulx032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
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| 72 | mulx033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
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| 73 | mulx034 multiply -5.00 1E-3 -> -0.00500
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| 74 | mulx035 multiply -00.00 0.000 -> -0.00000
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| 75 | mulx036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
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| 76 | mulx037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
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| 77 | mulx038 multiply 5.00 -1E-3 -> -0.00500
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| 78 | mulx039 multiply 00.00 -0.000 -> -0.00000
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| 79 | mulx040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
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| 80 | mulx041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
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| 81 | mulx042 multiply -5.00 -1E-3 -> 0.00500
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| 82 | mulx043 multiply -00.00 -0.000 -> 0.00000
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| 83 | mulx044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
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| 84 | mulx045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
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| 85 |
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| 86 | -- examples from decarith
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| 87 | mulx050 multiply 1.20 3 -> 3.60
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| 88 | mulx051 multiply 7 3 -> 21
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| 89 | mulx052 multiply 0.9 0.8 -> 0.72
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| 90 | mulx053 multiply 0.9 -0 -> -0.0
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| 91 | mulx054 multiply 654321 654321 -> 4.28135971E+11 Inexact Rounded
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| 92 |
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| 93 | mulx060 multiply 123.45 1e7 -> 1.2345E+9
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| 94 | mulx061 multiply 123.45 1e8 -> 1.2345E+10
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| 95 | mulx062 multiply 123.45 1e+9 -> 1.2345E+11
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| 96 | mulx063 multiply 123.45 1e10 -> 1.2345E+12
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| 97 | mulx064 multiply 123.45 1e11 -> 1.2345E+13
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| 98 | mulx065 multiply 123.45 1e12 -> 1.2345E+14
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| 99 | mulx066 multiply 123.45 1e13 -> 1.2345E+15
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| 100 |
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| 101 |
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| 102 | -- test some intermediate lengths
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| 103 | precision: 9
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| 104 | mulx080 multiply 0.1 123456789 -> 12345678.9
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| 105 | mulx081 multiply 0.1 1234567891 -> 123456789 Inexact Rounded
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| 106 | mulx082 multiply 0.1 12345678912 -> 1.23456789E+9 Inexact Rounded
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| 107 | mulx083 multiply 0.1 12345678912345 -> 1.23456789E+12 Inexact Rounded
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| 108 | mulx084 multiply 0.1 123456789 -> 12345678.9
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| 109 | precision: 8
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| 110 | mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded
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| 111 | mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded
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| 112 | precision: 7
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| 113 | mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded
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| 114 | mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded
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| 115 |
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| 116 | precision: 9
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| 117 | mulx090 multiply 123456789 0.1 -> 12345678.9
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| 118 | mulx091 multiply 1234567891 0.1 -> 123456789 Inexact Rounded
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| 119 | mulx092 multiply 12345678912 0.1 -> 1.23456789E+9 Inexact Rounded
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| 120 | mulx093 multiply 12345678912345 0.1 -> 1.23456789E+12 Inexact Rounded
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| 121 | mulx094 multiply 123456789 0.1 -> 12345678.9
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| 122 | precision: 8
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| 123 | mulx095 multiply 12345678912 0.1 -> 1.2345679E+9 Inexact Rounded
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| 124 | mulx096 multiply 12345678912345 0.1 -> 1.2345679E+12 Inexact Rounded
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| 125 | precision: 7
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| 126 | mulx097 multiply 12345678912 0.1 -> 1.234568E+9 Inexact Rounded
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| 127 | mulx098 multiply 12345678912345 0.1 -> 1.234568E+12 Inexact Rounded
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| 128 |
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| 129 | -- test some more edge cases and carries
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| 130 | maxexponent: 9999
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| 131 | minexponent: -9999
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| 132 | precision: 33
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| 133 | mulx101 multiply 9 9 -> 81
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| 134 | mulx102 multiply 9 90 -> 810
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| 135 | mulx103 multiply 9 900 -> 8100
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| 136 | mulx104 multiply 9 9000 -> 81000
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| 137 | mulx105 multiply 9 90000 -> 810000
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| 138 | mulx106 multiply 9 900000 -> 8100000
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| 139 | mulx107 multiply 9 9000000 -> 81000000
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| 140 | mulx108 multiply 9 90000000 -> 810000000
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| 141 | mulx109 multiply 9 900000000 -> 8100000000
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| 142 | mulx110 multiply 9 9000000000 -> 81000000000
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| 143 | mulx111 multiply 9 90000000000 -> 810000000000
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| 144 | mulx112 multiply 9 900000000000 -> 8100000000000
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| 145 | mulx113 multiply 9 9000000000000 -> 81000000000000
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| 146 | mulx114 multiply 9 90000000000000 -> 810000000000000
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| 147 | mulx115 multiply 9 900000000000000 -> 8100000000000000
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| 148 | mulx116 multiply 9 9000000000000000 -> 81000000000000000
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| 149 | mulx117 multiply 9 90000000000000000 -> 810000000000000000
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| 150 | mulx118 multiply 9 900000000000000000 -> 8100000000000000000
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| 151 | mulx119 multiply 9 9000000000000000000 -> 81000000000000000000
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| 152 | mulx120 multiply 9 90000000000000000000 -> 810000000000000000000
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| 153 | mulx121 multiply 9 900000000000000000000 -> 8100000000000000000000
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| 154 | mulx122 multiply 9 9000000000000000000000 -> 81000000000000000000000
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| 155 | mulx123 multiply 9 90000000000000000000000 -> 810000000000000000000000
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| 156 | -- test some more edge cases without carries
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| 157 | mulx131 multiply 3 3 -> 9
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| 158 | mulx132 multiply 3 30 -> 90
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| 159 | mulx133 multiply 3 300 -> 900
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| 160 | mulx134 multiply 3 3000 -> 9000
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| 161 | mulx135 multiply 3 30000 -> 90000
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| 162 | mulx136 multiply 3 300000 -> 900000
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| 163 | mulx137 multiply 3 3000000 -> 9000000
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| 164 | mulx138 multiply 3 30000000 -> 90000000
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| 165 | mulx139 multiply 3 300000000 -> 900000000
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| 166 | mulx140 multiply 3 3000000000 -> 9000000000
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| 167 | mulx141 multiply 3 30000000000 -> 90000000000
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| 168 | mulx142 multiply 3 300000000000 -> 900000000000
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| 169 | mulx143 multiply 3 3000000000000 -> 9000000000000
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| 170 | mulx144 multiply 3 30000000000000 -> 90000000000000
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| 171 | mulx145 multiply 3 300000000000000 -> 900000000000000
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| 172 | mulx146 multiply 3 3000000000000000 -> 9000000000000000
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| 173 | mulx147 multiply 3 30000000000000000 -> 90000000000000000
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| 174 | mulx148 multiply 3 300000000000000000 -> 900000000000000000
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| 175 | mulx149 multiply 3 3000000000000000000 -> 9000000000000000000
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| 176 | mulx150 multiply 3 30000000000000000000 -> 90000000000000000000
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| 177 | mulx151 multiply 3 300000000000000000000 -> 900000000000000000000
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| 178 | mulx152 multiply 3 3000000000000000000000 -> 9000000000000000000000
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| 179 | mulx153 multiply 3 30000000000000000000000 -> 90000000000000000000000
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| 180 |
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| 181 | maxexponent: 999999999
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| 182 | minexponent: -999999999
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| 183 | precision: 9
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| 184 | -- test some cases that are close to exponent overflow/underflow
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| 185 | mulx170 multiply 1 9e999999999 -> 9E+999999999
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| 186 | mulx171 multiply 1 9.9e999999999 -> 9.9E+999999999
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| 187 | mulx172 multiply 1 9.99e999999999 -> 9.99E+999999999
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| 188 | mulx173 multiply 9e999999999 1 -> 9E+999999999
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| 189 | mulx174 multiply 9.9e999999999 1 -> 9.9E+999999999
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| 190 | mulx176 multiply 9.99e999999999 1 -> 9.99E+999999999
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| 191 | mulx177 multiply 1 9.99999999e999999999 -> 9.99999999E+999999999
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| 192 | mulx178 multiply 9.99999999e999999999 1 -> 9.99999999E+999999999
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| 193 |
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| 194 | mulx180 multiply 0.1 9e-999999998 -> 9E-999999999
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| 195 | mulx181 multiply 0.1 99e-999999998 -> 9.9E-999999998
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| 196 | mulx182 multiply 0.1 999e-999999998 -> 9.99E-999999997
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| 197 |
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| 198 | mulx183 multiply 0.1 9e-999999998 -> 9E-999999999
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| 199 | mulx184 multiply 0.1 99e-999999998 -> 9.9E-999999998
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| 200 | mulx185 multiply 0.1 999e-999999998 -> 9.99E-999999997
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| 201 | mulx186 multiply 0.1 999e-999999997 -> 9.99E-999999996
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| 202 | mulx187 multiply 0.1 9999e-999999997 -> 9.999E-999999995
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| 203 | mulx188 multiply 0.1 99999e-999999997 -> 9.9999E-999999994
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| 204 |
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| 205 | mulx190 multiply 1 9e-999999998 -> 9E-999999998
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| 206 | mulx191 multiply 1 99e-999999998 -> 9.9E-999999997
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| 207 | mulx192 multiply 1 999e-999999998 -> 9.99E-999999996
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| 208 | mulx193 multiply 9e-999999998 1 -> 9E-999999998
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| 209 | mulx194 multiply 99e-999999998 1 -> 9.9E-999999997
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| 210 | mulx195 multiply 999e-999999998 1 -> 9.99E-999999996
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| 211 |
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| 212 | mulx196 multiply 1e-599999999 1e-400000000 -> 1E-999999999
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| 213 | mulx197 multiply 1e-600000000 1e-399999999 -> 1E-999999999
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| 214 | mulx198 multiply 1.2e-599999999 1.2e-400000000 -> 1.44E-999999999
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| 215 | mulx199 multiply 1.2e-600000000 1.2e-399999999 -> 1.44E-999999999
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| 216 |
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| 217 | mulx201 multiply 1e599999999 1e400000000 -> 1E+999999999
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| 218 | mulx202 multiply 1e600000000 1e399999999 -> 1E+999999999
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| 219 | mulx203 multiply 1.2e599999999 1.2e400000000 -> 1.44E+999999999
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| 220 | mulx204 multiply 1.2e600000000 1.2e399999999 -> 1.44E+999999999
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| 221 |
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| 222 | -- long operand triangle
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| 223 | precision: 33
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| 224 | mulx246 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511992830 Inexact Rounded
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| 225 | precision: 32
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| 226 | mulx247 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199283 Inexact Rounded
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| 227 | precision: 31
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| 228 | mulx248 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928 Inexact Rounded
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| 229 | precision: 30
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| 230 | mulx249 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511993 Inexact Rounded
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| 231 | precision: 29
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| 232 | mulx250 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199 Inexact Rounded
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| 233 | precision: 28
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| 234 | mulx251 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165120 Inexact Rounded
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| 235 | precision: 27
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| 236 | mulx252 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916512 Inexact Rounded
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| 237 | precision: 26
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| 238 | mulx253 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651 Inexact Rounded
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| 239 | precision: 25
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| 240 | mulx254 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165 Inexact Rounded
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| 241 | precision: 24
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| 242 | mulx255 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671917 Inexact Rounded
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| 243 | precision: 23
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| 244 | mulx256 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967192 Inexact Rounded
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| 245 | precision: 22
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| 246 | mulx257 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719 Inexact Rounded
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| 247 | precision: 21
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| 248 | mulx258 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369672 Inexact Rounded
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| 249 | precision: 20
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| 250 | mulx259 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967 Inexact Rounded
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| 251 | precision: 19
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| 252 | mulx260 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933697 Inexact Rounded
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| 253 | precision: 18
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| 254 | mulx261 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193370 Inexact Rounded
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| 255 | precision: 17
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| 256 | mulx262 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119337 Inexact Rounded
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| 257 | precision: 16
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| 258 | mulx263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011934 Inexact Rounded
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| 259 | precision: 15
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| 260 | mulx264 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193 Inexact Rounded
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| 261 | precision: 14
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| 262 | mulx265 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119 Inexact Rounded
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| 263 | precision: 13
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| 264 | mulx266 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908012 Inexact Rounded
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| 265 | precision: 12
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| 266 | mulx267 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801 Inexact Rounded
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| 267 | precision: 11
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| 268 | mulx268 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080 Inexact Rounded
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| 269 | precision: 10
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| 270 | mulx269 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908 Inexact Rounded
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| 271 | precision: 9
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| 272 | mulx270 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.291 Inexact Rounded
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| 273 | precision: 8
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| 274 | mulx271 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29 Inexact Rounded
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| 275 | precision: 7
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| 276 | mulx272 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.3 Inexact Rounded
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| 277 | precision: 6
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| 278 | mulx273 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433 Inexact Rounded
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| 279 | precision: 5
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| 280 | mulx274 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.4543E+5 Inexact Rounded
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| 281 | precision: 4
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| 282 | mulx275 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.454E+5 Inexact Rounded
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| 283 | precision: 3
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| 284 | mulx276 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.45E+5 Inexact Rounded
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| 285 | precision: 2
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| 286 | mulx277 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.5E+5 Inexact Rounded
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| 287 | precision: 1
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| 288 | mulx278 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1E+5 Inexact Rounded
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| 289 |
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| 290 | -- test some edge cases with exact rounding
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| 291 | maxexponent: 9999
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| 292 | minexponent: -9999
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| 293 | precision: 9
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| 294 | mulx301 multiply 9 9 -> 81
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| 295 | mulx302 multiply 9 90 -> 810
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| 296 | mulx303 multiply 9 900 -> 8100
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| 297 | mulx304 multiply 9 9000 -> 81000
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| 298 | mulx305 multiply 9 90000 -> 810000
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| 299 | mulx306 multiply 9 900000 -> 8100000
|
|---|
| 300 | mulx307 multiply 9 9000000 -> 81000000
|
|---|
| 301 | mulx308 multiply 9 90000000 -> 810000000
|
|---|
| 302 | mulx309 multiply 9 900000000 -> 8.10000000E+9 Rounded
|
|---|
| 303 | mulx310 multiply 9 9000000000 -> 8.10000000E+10 Rounded
|
|---|
| 304 | mulx311 multiply 9 90000000000 -> 8.10000000E+11 Rounded
|
|---|
| 305 | mulx312 multiply 9 900000000000 -> 8.10000000E+12 Rounded
|
|---|
| 306 | mulx313 multiply 9 9000000000000 -> 8.10000000E+13 Rounded
|
|---|
| 307 | mulx314 multiply 9 90000000000000 -> 8.10000000E+14 Rounded
|
|---|
| 308 | mulx315 multiply 9 900000000000000 -> 8.10000000E+15 Rounded
|
|---|
| 309 | mulx316 multiply 9 9000000000000000 -> 8.10000000E+16 Rounded
|
|---|
| 310 | mulx317 multiply 9 90000000000000000 -> 8.10000000E+17 Rounded
|
|---|
| 311 | mulx318 multiply 9 900000000000000000 -> 8.10000000E+18 Rounded
|
|---|
| 312 | mulx319 multiply 9 9000000000000000000 -> 8.10000000E+19 Rounded
|
|---|
| 313 | mulx320 multiply 9 90000000000000000000 -> 8.10000000E+20 Rounded
|
|---|
| 314 | mulx321 multiply 9 900000000000000000000 -> 8.10000000E+21 Rounded
|
|---|
| 315 | mulx322 multiply 9 9000000000000000000000 -> 8.10000000E+22 Rounded
|
|---|
| 316 | mulx323 multiply 9 90000000000000000000000 -> 8.10000000E+23 Rounded
|
|---|
| 317 |
|
|---|
| 318 | -- fastpath breakers
|
|---|
| 319 | precision: 29
|
|---|
| 320 | mulx330 multiply 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 -> 1.6487212707001281468486507878 Inexact Rounded
|
|---|
| 321 | precision: 55
|
|---|
| 322 | mulx331 multiply 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded
|
|---|
| 323 |
|
|---|
| 324 |
|
|---|
| 325 | -- tryzeros cases
|
|---|
| 326 | precision: 7
|
|---|
| 327 | rounding: half_up
|
|---|
| 328 | maxExponent: 92
|
|---|
| 329 | minexponent: -92
|
|---|
| 330 | mulx504 multiply 0E-60 1000E-60 -> 0E-98 Clamped
|
|---|
| 331 | mulx505 multiply 100E+60 0E+60 -> 0E+92 Clamped
|
|---|
| 332 |
|
|---|
| 333 | -- mixed with zeros
|
|---|
| 334 | maxexponent: 999999999
|
|---|
| 335 | minexponent: -999999999
|
|---|
| 336 | precision: 9
|
|---|
| 337 | mulx541 multiply 0 -1 -> -0
|
|---|
| 338 | mulx542 multiply -0 -1 -> 0
|
|---|
| 339 | mulx543 multiply 0 1 -> 0
|
|---|
| 340 | mulx544 multiply -0 1 -> -0
|
|---|
| 341 | mulx545 multiply -1 0 -> -0
|
|---|
| 342 | mulx546 multiply -1 -0 -> 0
|
|---|
| 343 | mulx547 multiply 1 0 -> 0
|
|---|
| 344 | mulx548 multiply 1 -0 -> -0
|
|---|
| 345 |
|
|---|
| 346 | mulx551 multiply 0.0 -1 -> -0.0
|
|---|
| 347 | mulx552 multiply -0.0 -1 -> 0.0
|
|---|
| 348 | mulx553 multiply 0.0 1 -> 0.0
|
|---|
| 349 | mulx554 multiply -0.0 1 -> -0.0
|
|---|
| 350 | mulx555 multiply -1.0 0 -> -0.0
|
|---|
| 351 | mulx556 multiply -1.0 -0 -> 0.0
|
|---|
| 352 | mulx557 multiply 1.0 0 -> 0.0
|
|---|
| 353 | mulx558 multiply 1.0 -0 -> -0.0
|
|---|
| 354 |
|
|---|
| 355 | mulx561 multiply 0 -1.0 -> -0.0
|
|---|
| 356 | mulx562 multiply -0 -1.0 -> 0.0
|
|---|
| 357 | mulx563 multiply 0 1.0 -> 0.0
|
|---|
| 358 | mulx564 multiply -0 1.0 -> -0.0
|
|---|
| 359 | mulx565 multiply -1 0.0 -> -0.0
|
|---|
| 360 | mulx566 multiply -1 -0.0 -> 0.0
|
|---|
| 361 | mulx567 multiply 1 0.0 -> 0.0
|
|---|
| 362 | mulx568 multiply 1 -0.0 -> -0.0
|
|---|
| 363 |
|
|---|
| 364 | mulx571 multiply 0.0 -1.0 -> -0.00
|
|---|
| 365 | mulx572 multiply -0.0 -1.0 -> 0.00
|
|---|
| 366 | mulx573 multiply 0.0 1.0 -> 0.00
|
|---|
| 367 | mulx574 multiply -0.0 1.0 -> -0.00
|
|---|
| 368 | mulx575 multiply -1.0 0.0 -> -0.00
|
|---|
| 369 | mulx576 multiply -1.0 -0.0 -> 0.00
|
|---|
| 370 | mulx577 multiply 1.0 0.0 -> 0.00
|
|---|
| 371 | mulx578 multiply 1.0 -0.0 -> -0.00
|
|---|
| 372 |
|
|---|
| 373 |
|
|---|
| 374 | -- Specials
|
|---|
| 375 | mulx580 multiply Inf -Inf -> -Infinity
|
|---|
| 376 | mulx581 multiply Inf -1000 -> -Infinity
|
|---|
| 377 | mulx582 multiply Inf -1 -> -Infinity
|
|---|
| 378 | mulx583 multiply Inf -0 -> NaN Invalid_operation
|
|---|
| 379 | mulx584 multiply Inf 0 -> NaN Invalid_operation
|
|---|
| 380 | mulx585 multiply Inf 1 -> Infinity
|
|---|
| 381 | mulx586 multiply Inf 1000 -> Infinity
|
|---|
| 382 | mulx587 multiply Inf Inf -> Infinity
|
|---|
| 383 | mulx588 multiply -1000 Inf -> -Infinity
|
|---|
| 384 | mulx589 multiply -Inf Inf -> -Infinity
|
|---|
| 385 | mulx590 multiply -1 Inf -> -Infinity
|
|---|
| 386 | mulx591 multiply -0 Inf -> NaN Invalid_operation
|
|---|
| 387 | mulx592 multiply 0 Inf -> NaN Invalid_operation
|
|---|
| 388 | mulx593 multiply 1 Inf -> Infinity
|
|---|
| 389 | mulx594 multiply 1000 Inf -> Infinity
|
|---|
| 390 | mulx595 multiply Inf Inf -> Infinity
|
|---|
| 391 |
|
|---|
| 392 | mulx600 multiply -Inf -Inf -> Infinity
|
|---|
| 393 | mulx601 multiply -Inf -1000 -> Infinity
|
|---|
| 394 | mulx602 multiply -Inf -1 -> Infinity
|
|---|
| 395 | mulx603 multiply -Inf -0 -> NaN Invalid_operation
|
|---|
| 396 | mulx604 multiply -Inf 0 -> NaN Invalid_operation
|
|---|
| 397 | mulx605 multiply -Inf 1 -> -Infinity
|
|---|
| 398 | mulx606 multiply -Inf 1000 -> -Infinity
|
|---|
| 399 | mulx607 multiply -Inf Inf -> -Infinity
|
|---|
| 400 | mulx608 multiply -1000 Inf -> -Infinity
|
|---|
| 401 | mulx609 multiply -Inf -Inf -> Infinity
|
|---|
| 402 | mulx610 multiply -1 -Inf -> Infinity
|
|---|
| 403 | mulx611 multiply -0 -Inf -> NaN Invalid_operation
|
|---|
| 404 | mulx612 multiply 0 -Inf -> NaN Invalid_operation
|
|---|
| 405 | mulx613 multiply 1 -Inf -> -Infinity
|
|---|
| 406 | mulx614 multiply 1000 -Inf -> -Infinity
|
|---|
| 407 | mulx615 multiply Inf -Inf -> -Infinity
|
|---|
| 408 |
|
|---|
| 409 | mulx621 multiply NaN -Inf -> NaN
|
|---|
| 410 | mulx622 multiply NaN -1000 -> NaN
|
|---|
| 411 | mulx623 multiply NaN -1 -> NaN
|
|---|
| 412 | mulx624 multiply NaN -0 -> NaN
|
|---|
| 413 | mulx625 multiply NaN 0 -> NaN
|
|---|
| 414 | mulx626 multiply NaN 1 -> NaN
|
|---|
| 415 | mulx627 multiply NaN 1000 -> NaN
|
|---|
| 416 | mulx628 multiply NaN Inf -> NaN
|
|---|
| 417 | mulx629 multiply NaN NaN -> NaN
|
|---|
| 418 | mulx630 multiply -Inf NaN -> NaN
|
|---|
| 419 | mulx631 multiply -1000 NaN -> NaN
|
|---|
| 420 | mulx632 multiply -1 NaN -> NaN
|
|---|
| 421 | mulx633 multiply -0 NaN -> NaN
|
|---|
| 422 | mulx634 multiply 0 NaN -> NaN
|
|---|
| 423 | mulx635 multiply 1 NaN -> NaN
|
|---|
| 424 | mulx636 multiply 1000 NaN -> NaN
|
|---|
| 425 | mulx637 multiply Inf NaN -> NaN
|
|---|
| 426 |
|
|---|
| 427 | mulx641 multiply sNaN -Inf -> NaN Invalid_operation
|
|---|
| 428 | mulx642 multiply sNaN -1000 -> NaN Invalid_operation
|
|---|
| 429 | mulx643 multiply sNaN -1 -> NaN Invalid_operation
|
|---|
| 430 | mulx644 multiply sNaN -0 -> NaN Invalid_operation
|
|---|
| 431 | mulx645 multiply sNaN 0 -> NaN Invalid_operation
|
|---|
| 432 | mulx646 multiply sNaN 1 -> NaN Invalid_operation
|
|---|
| 433 | mulx647 multiply sNaN 1000 -> NaN Invalid_operation
|
|---|
| 434 | mulx648 multiply sNaN NaN -> NaN Invalid_operation
|
|---|
| 435 | mulx649 multiply sNaN sNaN -> NaN Invalid_operation
|
|---|
| 436 | mulx650 multiply NaN sNaN -> NaN Invalid_operation
|
|---|
| 437 | mulx651 multiply -Inf sNaN -> NaN Invalid_operation
|
|---|
| 438 | mulx652 multiply -1000 sNaN -> NaN Invalid_operation
|
|---|
| 439 | mulx653 multiply -1 sNaN -> NaN Invalid_operation
|
|---|
| 440 | mulx654 multiply -0 sNaN -> NaN Invalid_operation
|
|---|
| 441 | mulx655 multiply 0 sNaN -> NaN Invalid_operation
|
|---|
| 442 | mulx656 multiply 1 sNaN -> NaN Invalid_operation
|
|---|
| 443 | mulx657 multiply 1000 sNaN -> NaN Invalid_operation
|
|---|
| 444 | mulx658 multiply Inf sNaN -> NaN Invalid_operation
|
|---|
| 445 | mulx659 multiply NaN sNaN -> NaN Invalid_operation
|
|---|
| 446 |
|
|---|
| 447 | -- propagating NaNs
|
|---|
| 448 | mulx661 multiply NaN9 -Inf -> NaN9
|
|---|
| 449 | mulx662 multiply NaN8 999 -> NaN8
|
|---|
| 450 | mulx663 multiply NaN71 Inf -> NaN71
|
|---|
| 451 | mulx664 multiply NaN6 NaN5 -> NaN6
|
|---|
| 452 | mulx665 multiply -Inf NaN4 -> NaN4
|
|---|
| 453 | mulx666 multiply -999 NaN33 -> NaN33
|
|---|
| 454 | mulx667 multiply Inf NaN2 -> NaN2
|
|---|
| 455 |
|
|---|
| 456 | mulx671 multiply sNaN99 -Inf -> NaN99 Invalid_operation
|
|---|
| 457 | mulx672 multiply sNaN98 -11 -> NaN98 Invalid_operation
|
|---|
| 458 | mulx673 multiply sNaN97 NaN -> NaN97 Invalid_operation
|
|---|
| 459 | mulx674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation
|
|---|
| 460 | mulx675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation
|
|---|
| 461 | mulx676 multiply -Inf sNaN92 -> NaN92 Invalid_operation
|
|---|
| 462 | mulx677 multiply 088 sNaN91 -> NaN91 Invalid_operation
|
|---|
| 463 | mulx678 multiply Inf sNaN90 -> NaN90 Invalid_operation
|
|---|
| 464 | mulx679 multiply NaN sNaN89 -> NaN89 Invalid_operation
|
|---|
| 465 |
|
|---|
| 466 | mulx681 multiply -NaN9 -Inf -> -NaN9
|
|---|
| 467 | mulx682 multiply -NaN8 999 -> -NaN8
|
|---|
| 468 | mulx683 multiply -NaN71 Inf -> -NaN71
|
|---|
| 469 | mulx684 multiply -NaN6 -NaN5 -> -NaN6
|
|---|
| 470 | mulx685 multiply -Inf -NaN4 -> -NaN4
|
|---|
| 471 | mulx686 multiply -999 -NaN33 -> -NaN33
|
|---|
| 472 | mulx687 multiply Inf -NaN2 -> -NaN2
|
|---|
| 473 |
|
|---|
| 474 | mulx691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation
|
|---|
| 475 | mulx692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation
|
|---|
| 476 | mulx693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation
|
|---|
| 477 | mulx694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
|
|---|
| 478 | mulx695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation
|
|---|
| 479 | mulx696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation
|
|---|
| 480 | mulx697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation
|
|---|
| 481 | mulx698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation
|
|---|
| 482 | mulx699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation
|
|---|
| 483 |
|
|---|
| 484 | mulx701 multiply -NaN -Inf -> -NaN
|
|---|
| 485 | mulx702 multiply -NaN 999 -> -NaN
|
|---|
| 486 | mulx703 multiply -NaN Inf -> -NaN
|
|---|
| 487 | mulx704 multiply -NaN -NaN -> -NaN
|
|---|
| 488 | mulx705 multiply -Inf -NaN0 -> -NaN
|
|---|
| 489 | mulx706 multiply -999 -NaN -> -NaN
|
|---|
| 490 | mulx707 multiply Inf -NaN -> -NaN
|
|---|
| 491 |
|
|---|
| 492 | mulx711 multiply -sNaN -Inf -> -NaN Invalid_operation
|
|---|
| 493 | mulx712 multiply -sNaN -11 -> -NaN Invalid_operation
|
|---|
| 494 | mulx713 multiply -sNaN00 NaN -> -NaN Invalid_operation
|
|---|
| 495 | mulx714 multiply -sNaN -sNaN -> -NaN Invalid_operation
|
|---|
| 496 | mulx715 multiply -NaN -sNaN -> -NaN Invalid_operation
|
|---|
| 497 | mulx716 multiply -Inf -sNaN -> -NaN Invalid_operation
|
|---|
| 498 | mulx717 multiply 088 -sNaN -> -NaN Invalid_operation
|
|---|
| 499 | mulx718 multiply Inf -sNaN -> -NaN Invalid_operation
|
|---|
| 500 | mulx719 multiply -NaN -sNaN -> -NaN Invalid_operation
|
|---|
| 501 |
|
|---|
| 502 | -- overflow and underflow tests .. note subnormal results
|
|---|
| 503 | maxexponent: 999999999
|
|---|
| 504 | minexponent: -999999999
|
|---|
| 505 | mulx730 multiply +1.23456789012345E-0 9E+999999999 -> Infinity Inexact Overflow Rounded
|
|---|
| 506 | mulx731 multiply 9E+999999999 +1.23456789012345E-0 -> Infinity Inexact Overflow Rounded
|
|---|
| 507 | mulx732 multiply +0.100 9E-999999999 -> 9.00E-1000000000 Subnormal
|
|---|
| 508 | mulx733 multiply 9E-999999999 +0.100 -> 9.00E-1000000000 Subnormal
|
|---|
| 509 | mulx735 multiply -1.23456789012345E-0 9E+999999999 -> -Infinity Inexact Overflow Rounded
|
|---|
| 510 | mulx736 multiply 9E+999999999 -1.23456789012345E-0 -> -Infinity Inexact Overflow Rounded
|
|---|
| 511 | mulx737 multiply -0.100 9E-999999999 -> -9.00E-1000000000 Subnormal
|
|---|
| 512 | mulx738 multiply 9E-999999999 -0.100 -> -9.00E-1000000000 Subnormal
|
|---|
| 513 |
|
|---|
| 514 | mulx739 multiply 1e-599999999 1e-400000001 -> 1E-1000000000 Subnormal
|
|---|
| 515 | mulx740 multiply 1e-599999999 1e-400000000 -> 1E-999999999
|
|---|
| 516 | mulx741 multiply 1e-600000000 1e-400000000 -> 1E-1000000000 Subnormal
|
|---|
| 517 | mulx742 multiply 9e-999999998 0.01 -> 9E-1000000000 Subnormal
|
|---|
| 518 | mulx743 multiply 9e-999999998 0.1 -> 9E-999999999
|
|---|
| 519 | mulx744 multiply 0.01 9e-999999998 -> 9E-1000000000 Subnormal
|
|---|
| 520 | mulx745 multiply 1e599999999 1e400000001 -> Infinity Overflow Inexact Rounded
|
|---|
| 521 | mulx746 multiply 1e599999999 1e400000000 -> 1E+999999999
|
|---|
| 522 | mulx747 multiply 1e600000000 1e400000000 -> Infinity Overflow Inexact Rounded
|
|---|
| 523 | mulx748 multiply 9e999999998 100 -> Infinity Overflow Inexact Rounded
|
|---|
| 524 | mulx749 multiply 9e999999998 10 -> 9.0E+999999999
|
|---|
| 525 | mulx750 multiply 100 9e999999998 -> Infinity Overflow Inexact Rounded
|
|---|
| 526 | -- signs
|
|---|
| 527 | mulx751 multiply 1e+777777777 1e+411111111 -> Infinity Overflow Inexact Rounded
|
|---|
| 528 | mulx752 multiply 1e+777777777 -1e+411111111 -> -Infinity Overflow Inexact Rounded
|
|---|
| 529 | mulx753 multiply -1e+777777777 1e+411111111 -> -Infinity Overflow Inexact Rounded
|
|---|
| 530 | mulx754 multiply -1e+777777777 -1e+411111111 -> Infinity Overflow Inexact Rounded
|
|---|
| 531 | mulx755 multiply 1e-777777777 1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 532 | mulx756 multiply 1e-777777777 -1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 533 | mulx757 multiply -1e-777777777 1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 534 | mulx758 multiply -1e-777777777 -1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 535 |
|
|---|
| 536 | -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
|
|---|
| 537 | precision: 9
|
|---|
| 538 | mulx760 multiply 1e-600000000 1e-400000001 -> 1E-1000000001 Subnormal
|
|---|
| 539 | mulx761 multiply 1e-600000000 1e-400000002 -> 1E-1000000002 Subnormal
|
|---|
| 540 | mulx762 multiply 1e-600000000 1e-400000003 -> 1E-1000000003 Subnormal
|
|---|
| 541 | mulx763 multiply 1e-600000000 1e-400000004 -> 1E-1000000004 Subnormal
|
|---|
| 542 | mulx764 multiply 1e-600000000 1e-400000005 -> 1E-1000000005 Subnormal
|
|---|
| 543 | mulx765 multiply 1e-600000000 1e-400000006 -> 1E-1000000006 Subnormal
|
|---|
| 544 | mulx766 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
|
|---|
| 545 | mulx767 multiply 1e-600000000 1e-400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 546 | mulx768 multiply 1e-600000000 1e-400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 547 | mulx769 multiply 1e-600000000 1e-400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 548 | -- [no equivalent of 'subnormal' for overflow]
|
|---|
| 549 | mulx770 multiply 1e+600000000 1e+400000001 -> Infinity Overflow Inexact Rounded
|
|---|
| 550 | mulx771 multiply 1e+600000000 1e+400000002 -> Infinity Overflow Inexact Rounded
|
|---|
| 551 | mulx772 multiply 1e+600000000 1e+400000003 -> Infinity Overflow Inexact Rounded
|
|---|
| 552 | mulx773 multiply 1e+600000000 1e+400000004 -> Infinity Overflow Inexact Rounded
|
|---|
| 553 | mulx774 multiply 1e+600000000 1e+400000005 -> Infinity Overflow Inexact Rounded
|
|---|
| 554 | mulx775 multiply 1e+600000000 1e+400000006 -> Infinity Overflow Inexact Rounded
|
|---|
| 555 | mulx776 multiply 1e+600000000 1e+400000007 -> Infinity Overflow Inexact Rounded
|
|---|
| 556 | mulx777 multiply 1e+600000000 1e+400000008 -> Infinity Overflow Inexact Rounded
|
|---|
| 557 | mulx778 multiply 1e+600000000 1e+400000009 -> Infinity Overflow Inexact Rounded
|
|---|
| 558 | mulx779 multiply 1e+600000000 1e+400000010 -> Infinity Overflow Inexact Rounded
|
|---|
| 559 |
|
|---|
| 560 | -- 'subnormal' test edge condition at higher precisions
|
|---|
| 561 | precision: 99
|
|---|
| 562 | mulx780 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
|
|---|
| 563 | mulx781 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal
|
|---|
| 564 | mulx782 multiply 1e-600000000 1e-400000097 -> 1E-1000000097 Subnormal
|
|---|
| 565 | mulx783 multiply 1e-600000000 1e-400000098 -> 0E-1000000097 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 566 | precision: 999
|
|---|
| 567 | mulx784 multiply 1e-600000000 1e-400000997 -> 1E-1000000997 Subnormal
|
|---|
| 568 | mulx785 multiply 1e-600000000 1e-400000998 -> 0E-1000000997 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 569 |
|
|---|
| 570 | -- following testcases [through mulx800] not yet run against code
|
|---|
| 571 | precision: 9999
|
|---|
| 572 | mulx786 multiply 1e-600000000 1e-400009997 -> 1E-1000009997 Subnormal
|
|---|
| 573 | mulx787 multiply 1e-600000000 1e-400009998 -> 0E-1000009997 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 574 | precision: 99999
|
|---|
| 575 | mulx788 multiply 1e-600000000 1e-400099997 -> 1E-1000099997 Subnormal
|
|---|
| 576 | mulx789 multiply 1e-600000000 1e-400099998 -> 0E-1000099997 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 577 | precision: 999999
|
|---|
| 578 | mulx790 multiply 1e-600000000 1e-400999997 -> 1E-1000999997 Subnormal
|
|---|
| 579 | mulx791 multiply 1e-600000000 1e-400999998 -> 0E-1000999997 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 580 | precision: 9999999
|
|---|
| 581 | mulx792 multiply 1e-600000000 1e-409999997 -> 1E-1009999997 Subnormal
|
|---|
| 582 | mulx793 multiply 1e-600000000 1e-409999998 -> 0E-1009999997 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 583 | precision: 99999999
|
|---|
| 584 | mulx794 multiply 1e-600000000 1e-499999997 -> 1E-1099999997 Subnormal
|
|---|
| 585 | mulx795 multiply 1e-600000000 1e-499999998 -> 0E-1099999997 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 586 | precision: 999999999
|
|---|
| 587 | mulx796 multiply 1e-999999999 1e-999999997 -> 1E-1999999996 Subnormal
|
|---|
| 588 | mulx797 multiply 1e-999999999 1e-999999998 -> 1E-1999999997 Subnormal
|
|---|
| 589 | mulx798 multiply 1e-999999999 1e-999999999 -> 0E-1999999997 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 590 | mulx799 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
|
|---|
| 591 | mulx800 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal
|
|---|
| 592 |
|
|---|
| 593 | -- test subnormals rounding
|
|---|
| 594 | precision: 5
|
|---|
| 595 | maxExponent: 999
|
|---|
| 596 | minexponent: -999
|
|---|
| 597 | rounding: half_even
|
|---|
| 598 |
|
|---|
| 599 | mulx801 multiply 1.0000E-999 1 -> 1.0000E-999
|
|---|
| 600 | mulx802 multiply 1.000E-999 1e-1 -> 1.000E-1000 Subnormal
|
|---|
| 601 | mulx803 multiply 1.00E-999 1e-2 -> 1.00E-1001 Subnormal
|
|---|
| 602 | mulx804 multiply 1.0E-999 1e-3 -> 1.0E-1002 Subnormal
|
|---|
| 603 | mulx805 multiply 1.0E-999 1e-4 -> 1E-1003 Subnormal Rounded
|
|---|
| 604 | mulx806 multiply 1.3E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 605 | mulx807 multiply 1.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 606 | mulx808 multiply 1.7E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 607 | mulx809 multiply 2.3E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 608 | mulx810 multiply 2.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 609 | mulx811 multiply 2.7E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 610 | mulx812 multiply 1.49E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 611 | mulx813 multiply 1.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 612 | mulx814 multiply 1.51E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 613 | mulx815 multiply 2.49E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 614 | mulx816 multiply 2.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 615 | mulx817 multiply 2.51E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 616 |
|
|---|
| 617 | mulx818 multiply 1E-999 1e-4 -> 1E-1003 Subnormal
|
|---|
| 618 | mulx819 multiply 3E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 619 | mulx820 multiply 5E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 620 | mulx821 multiply 7E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 621 | mulx822 multiply 9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 622 | mulx823 multiply 9.9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 623 |
|
|---|
| 624 | mulx824 multiply 1E-999 -1e-4 -> -1E-1003 Subnormal
|
|---|
| 625 | mulx825 multiply 3E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 626 | mulx826 multiply -5E-999 1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 627 | mulx827 multiply 7E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 628 | mulx828 multiply -9E-999 1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 629 | mulx829 multiply 9.9E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 630 | mulx830 multiply 3.0E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 631 |
|
|---|
| 632 | mulx831 multiply 1.0E-501 1e-501 -> 1.0E-1002 Subnormal
|
|---|
| 633 | mulx832 multiply 2.0E-501 2e-501 -> 4.0E-1002 Subnormal
|
|---|
| 634 | mulx833 multiply 4.0E-501 4e-501 -> 1.60E-1001 Subnormal
|
|---|
| 635 | mulx834 multiply 10.0E-501 10e-501 -> 1.000E-1000 Subnormal
|
|---|
| 636 | mulx835 multiply 30.0E-501 30e-501 -> 9.000E-1000 Subnormal
|
|---|
| 637 | mulx836 multiply 40.0E-501 40e-501 -> 1.6000E-999
|
|---|
| 638 |
|
|---|
| 639 | -- squares
|
|---|
| 640 | mulx840 multiply 1E-502 1e-502 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 641 | mulx841 multiply 1E-501 1e-501 -> 1E-1002 Subnormal
|
|---|
| 642 | mulx842 multiply 2E-501 2e-501 -> 4E-1002 Subnormal
|
|---|
| 643 | mulx843 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal
|
|---|
| 644 | mulx844 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal
|
|---|
| 645 | mulx845 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal
|
|---|
| 646 | mulx846 multiply 40E-501 40e-501 -> 1.600E-999
|
|---|
| 647 |
|
|---|
| 648 | -- cubes
|
|---|
| 649 | mulx850 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 650 | mulx851 multiply 1E-668 1e-334 -> 1E-1002 Subnormal
|
|---|
| 651 | mulx852 multiply 4E-668 2e-334 -> 8E-1002 Subnormal
|
|---|
| 652 | mulx853 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal
|
|---|
| 653 | mulx854 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal
|
|---|
| 654 | mulx855 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal
|
|---|
| 655 | mulx856 multiply 10E-668 100e-334 -> 1.000E-999
|
|---|
| 656 |
|
|---|
| 657 | -- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent
|
|---|
| 658 | precision: 19
|
|---|
| 659 | mulx860 multiply 6636851557994578716E-520 6636851557994578716E-520 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded
|
|---|
| 660 |
|
|---|
| 661 | -- Long operand overflow may be a different path
|
|---|
| 662 | precision: 3
|
|---|
| 663 | maxExponent: 999999999
|
|---|
| 664 | minexponent: -999999999
|
|---|
| 665 | mulx870 multiply 1 9.999E+999999999 -> Infinity Inexact Overflow Rounded
|
|---|
| 666 | mulx871 multiply 1 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
|
|---|
| 667 | mulx872 multiply 9.999E+999999999 1 -> Infinity Inexact Overflow Rounded
|
|---|
| 668 | mulx873 multiply -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded
|
|---|
| 669 |
|
|---|
| 670 | -- check for double-rounded subnormals
|
|---|
| 671 | precision: 5
|
|---|
| 672 | maxexponent: 79
|
|---|
| 673 | minexponent: -79
|
|---|
| 674 | mulx881 multiply 1.2347E-40 1.2347E-40 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|---|
| 675 | mulx882 multiply 1.234E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
|---|
| 676 | mulx883 multiply 1.23E-40 1.23E-40 -> 1.513E-80 Inexact Rounded Subnormal Underflow
|
|---|
| 677 | mulx884 multiply 1.2E-40 1.2E-40 -> 1.44E-80 Subnormal
|
|---|
| 678 | mulx885 multiply 1.2E-40 1.2E-41 -> 1.44E-81 Subnormal
|
|---|
| 679 | mulx886 multiply 1.2E-40 1.2E-42 -> 1.4E-82 Subnormal Inexact Rounded Underflow
|
|---|
| 680 | mulx887 multiply 1.2E-40 1.3E-42 -> 1.6E-82 Subnormal Inexact Rounded Underflow
|
|---|
| 681 | mulx888 multiply 1.3E-40 1.3E-42 -> 1.7E-82 Subnormal Inexact Rounded Underflow
|
|---|
| 682 | mulx889 multiply 1.3E-40 1.3E-43 -> 2E-83 Subnormal Inexact Rounded Underflow
|
|---|
| 683 | mulx890 multiply 1.3E-41 1.3E-43 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow
|
|---|
| 684 |
|
|---|
| 685 | mulx891 multiply 1.2345E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded
|
|---|
| 686 | mulx892 multiply 1.23456E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded
|
|---|
| 687 | mulx893 multiply 1.2345E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
|---|
| 688 | mulx894 multiply 1.23456E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
|---|
| 689 | mulx895 multiply 1.2345E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow
|
|---|
| 690 | mulx896 multiply 1.23456E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow
|
|---|
| 691 |
|
|---|
| 692 | -- Now explore the case where we get a normal result with Underflow
|
|---|
| 693 | precision: 16
|
|---|
| 694 | rounding: half_up
|
|---|
| 695 | maxExponent: 384
|
|---|
| 696 | minExponent: -383
|
|---|
| 697 |
|
|---|
| 698 | mulx900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded
|
|---|
| 699 | mulx901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
|
|---|
| 700 | mulx902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
|
|---|
| 701 | mulx903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
|
|---|
| 702 | mulx904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
|
|---|
| 703 | mulx905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
|
|---|
| 704 | -- prove operands are exact
|
|---|
| 705 | mulx906 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383
|
|---|
| 706 | mulx907 multiply 1 0.09999999999999999 -> 0.09999999999999999
|
|---|
| 707 | -- the next rounds to Nmin
|
|---|
| 708 | mulx908 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|---|
| 709 | mulx909 multiply 9.999999999999999E-383 0.099999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|---|
| 710 | mulx910 multiply 9.999999999999999E-383 0.0999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|---|
| 711 | mulx911 multiply 9.999999999999999E-383 0.09999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|---|
| 712 |
|
|---|
| 713 |
|
|---|
| 714 | -- Examples from SQL proposal (Krishna Kulkarni)
|
|---|
| 715 | precision: 34
|
|---|
| 716 | rounding: half_up
|
|---|
| 717 | maxExponent: 6144
|
|---|
| 718 | minExponent: -6143
|
|---|
| 719 | mulx1001 multiply 130E-2 120E-2 -> 1.5600
|
|---|
| 720 | mulx1002 multiply 130E-2 12E-1 -> 1.560
|
|---|
| 721 | mulx1003 multiply 130E-2 1E0 -> 1.30
|
|---|
| 722 | mulx1004 multiply 1E2 1E4 -> 1E+6
|
|---|
| 723 |
|
|---|
| 724 | -- payload decapitate
|
|---|
| 725 | precision: 5
|
|---|
| 726 | mulx1010 multiply 11 -sNaN1234567890 -> -NaN67890 Invalid_operation
|
|---|
| 727 |
|
|---|
| 728 | -- Null tests
|
|---|
| 729 | mulx990 multiply 10 # -> NaN Invalid_operation
|
|---|
| 730 | mulx991 multiply # 10 -> NaN Invalid_operation
|
|---|
| 731 |
|
|---|
