| 1 | ------------------------------------------------------------------------
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| 2 | -- rounding.decTest -- decimal rounding modes testcases --
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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 | -- These tests require that implementations take account of residues in
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| 23 | -- order to get correct results for some rounding modes. Rather than
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| 24 | -- single rounding tests we therefore need tests for most operators.
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| 25 | -- [We do assume add/minus/plus/subtract are common paths, however, as
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| 26 | -- is rounding of negatives (if the latter works for addition, assume it
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| 27 | -- works for the others, too).]
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| 28 | --
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| 29 | -- Round-for-reround (05UP) is tested as a separate block, mostly for
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| 30 | -- 'historical' reasons.
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| 31 | --
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| 32 | -- Underflow Subnormal and overflow behaviours are tested under the
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| 33 | -- individual operators.
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| 34 |
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| 35 | extended: 1
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| 36 | precision: 5 -- for easier visual inspection
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| 37 | maxExponent: 999
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| 38 | minexponent: -999
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| 39 |
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| 40 | -- Addition operators -------------------------------------------------
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| 41 | rounding: down
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| 42 |
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| 43 | radx100 add 12345 -0.1 -> 12344 Inexact Rounded
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| 44 | radx101 add 12345 -0.01 -> 12344 Inexact Rounded
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| 45 | radx102 add 12345 -0.001 -> 12344 Inexact Rounded
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| 46 | radx103 add 12345 -0.00001 -> 12344 Inexact Rounded
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| 47 | radx104 add 12345 -0.000001 -> 12344 Inexact Rounded
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| 48 | radx105 add 12345 -0.0000001 -> 12344 Inexact Rounded
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| 49 | radx106 add 12345 0 -> 12345
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| 50 | radx107 add 12345 0.0000001 -> 12345 Inexact Rounded
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| 51 | radx108 add 12345 0.000001 -> 12345 Inexact Rounded
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| 52 | radx109 add 12345 0.00001 -> 12345 Inexact Rounded
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| 53 | radx110 add 12345 0.0001 -> 12345 Inexact Rounded
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| 54 | radx111 add 12345 0.001 -> 12345 Inexact Rounded
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| 55 | radx112 add 12345 0.01 -> 12345 Inexact Rounded
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| 56 | radx113 add 12345 0.1 -> 12345 Inexact Rounded
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| 57 |
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| 58 | radx115 add 12346 0.49999 -> 12346 Inexact Rounded
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| 59 | radx116 add 12346 0.5 -> 12346 Inexact Rounded
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| 60 | radx117 add 12346 0.50001 -> 12346 Inexact Rounded
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| 61 |
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| 62 | radx120 add 12345 0.4 -> 12345 Inexact Rounded
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| 63 | radx121 add 12345 0.49 -> 12345 Inexact Rounded
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| 64 | radx122 add 12345 0.499 -> 12345 Inexact Rounded
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| 65 | radx123 add 12345 0.49999 -> 12345 Inexact Rounded
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| 66 | radx124 add 12345 0.5 -> 12345 Inexact Rounded
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| 67 | radx125 add 12345 0.50001 -> 12345 Inexact Rounded
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| 68 | radx126 add 12345 0.5001 -> 12345 Inexact Rounded
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| 69 | radx127 add 12345 0.501 -> 12345 Inexact Rounded
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| 70 | radx128 add 12345 0.51 -> 12345 Inexact Rounded
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| 71 | radx129 add 12345 0.6 -> 12345 Inexact Rounded
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| 72 |
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| 73 | rounding: half_down
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| 74 |
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| 75 | radx140 add 12345 -0.1 -> 12345 Inexact Rounded
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| 76 | radx141 add 12345 -0.01 -> 12345 Inexact Rounded
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| 77 | radx142 add 12345 -0.001 -> 12345 Inexact Rounded
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| 78 | radx143 add 12345 -0.00001 -> 12345 Inexact Rounded
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| 79 | radx144 add 12345 -0.000001 -> 12345 Inexact Rounded
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| 80 | radx145 add 12345 -0.0000001 -> 12345 Inexact Rounded
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| 81 | radx146 add 12345 0 -> 12345
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| 82 | radx147 add 12345 0.0000001 -> 12345 Inexact Rounded
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| 83 | radx148 add 12345 0.000001 -> 12345 Inexact Rounded
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| 84 | radx149 add 12345 0.00001 -> 12345 Inexact Rounded
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| 85 | radx150 add 12345 0.0001 -> 12345 Inexact Rounded
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| 86 | radx151 add 12345 0.001 -> 12345 Inexact Rounded
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| 87 | radx152 add 12345 0.01 -> 12345 Inexact Rounded
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| 88 | radx153 add 12345 0.1 -> 12345 Inexact Rounded
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| 89 |
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| 90 | radx155 add 12346 0.49999 -> 12346 Inexact Rounded
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| 91 | radx156 add 12346 0.5 -> 12346 Inexact Rounded
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| 92 | radx157 add 12346 0.50001 -> 12347 Inexact Rounded
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| 93 |
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| 94 | radx160 add 12345 0.4 -> 12345 Inexact Rounded
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| 95 | radx161 add 12345 0.49 -> 12345 Inexact Rounded
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| 96 | radx162 add 12345 0.499 -> 12345 Inexact Rounded
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| 97 | radx163 add 12345 0.49999 -> 12345 Inexact Rounded
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| 98 | radx164 add 12345 0.5 -> 12345 Inexact Rounded
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| 99 | radx165 add 12345 0.50001 -> 12346 Inexact Rounded
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| 100 | radx166 add 12345 0.5001 -> 12346 Inexact Rounded
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| 101 | radx167 add 12345 0.501 -> 12346 Inexact Rounded
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| 102 | radx168 add 12345 0.51 -> 12346 Inexact Rounded
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| 103 | radx169 add 12345 0.6 -> 12346 Inexact Rounded
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| 104 |
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| 105 | rounding: half_even
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| 106 |
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| 107 | radx170 add 12345 -0.1 -> 12345 Inexact Rounded
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| 108 | radx171 add 12345 -0.01 -> 12345 Inexact Rounded
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| 109 | radx172 add 12345 -0.001 -> 12345 Inexact Rounded
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| 110 | radx173 add 12345 -0.00001 -> 12345 Inexact Rounded
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| 111 | radx174 add 12345 -0.000001 -> 12345 Inexact Rounded
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| 112 | radx175 add 12345 -0.0000001 -> 12345 Inexact Rounded
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| 113 | radx176 add 12345 0 -> 12345
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| 114 | radx177 add 12345 0.0000001 -> 12345 Inexact Rounded
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| 115 | radx178 add 12345 0.000001 -> 12345 Inexact Rounded
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| 116 | radx179 add 12345 0.00001 -> 12345 Inexact Rounded
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| 117 | radx180 add 12345 0.0001 -> 12345 Inexact Rounded
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| 118 | radx181 add 12345 0.001 -> 12345 Inexact Rounded
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| 119 | radx182 add 12345 0.01 -> 12345 Inexact Rounded
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| 120 | radx183 add 12345 0.1 -> 12345 Inexact Rounded
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| 121 |
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| 122 | radx185 add 12346 0.49999 -> 12346 Inexact Rounded
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| 123 | radx186 add 12346 0.5 -> 12346 Inexact Rounded
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| 124 | radx187 add 12346 0.50001 -> 12347 Inexact Rounded
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| 125 |
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| 126 | radx190 add 12345 0.4 -> 12345 Inexact Rounded
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| 127 | radx191 add 12345 0.49 -> 12345 Inexact Rounded
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| 128 | radx192 add 12345 0.499 -> 12345 Inexact Rounded
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| 129 | radx193 add 12345 0.49999 -> 12345 Inexact Rounded
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| 130 | radx194 add 12345 0.5 -> 12346 Inexact Rounded
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| 131 | radx195 add 12345 0.50001 -> 12346 Inexact Rounded
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| 132 | radx196 add 12345 0.5001 -> 12346 Inexact Rounded
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| 133 | radx197 add 12345 0.501 -> 12346 Inexact Rounded
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| 134 | radx198 add 12345 0.51 -> 12346 Inexact Rounded
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| 135 | radx199 add 12345 0.6 -> 12346 Inexact Rounded
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| 136 |
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| 137 | rounding: half_up
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| 138 |
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| 139 | radx200 add 12345 -0.1 -> 12345 Inexact Rounded
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| 140 | radx201 add 12345 -0.01 -> 12345 Inexact Rounded
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| 141 | radx202 add 12345 -0.001 -> 12345 Inexact Rounded
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| 142 | radx203 add 12345 -0.00001 -> 12345 Inexact Rounded
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| 143 | radx204 add 12345 -0.000001 -> 12345 Inexact Rounded
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| 144 | radx205 add 12345 -0.0000001 -> 12345 Inexact Rounded
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| 145 | radx206 add 12345 0 -> 12345
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| 146 | radx207 add 12345 0.0000001 -> 12345 Inexact Rounded
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| 147 | radx208 add 12345 0.000001 -> 12345 Inexact Rounded
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| 148 | radx209 add 12345 0.00001 -> 12345 Inexact Rounded
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| 149 | radx210 add 12345 0.0001 -> 12345 Inexact Rounded
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| 150 | radx211 add 12345 0.001 -> 12345 Inexact Rounded
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| 151 | radx212 add 12345 0.01 -> 12345 Inexact Rounded
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| 152 | radx213 add 12345 0.1 -> 12345 Inexact Rounded
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| 153 |
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| 154 | radx215 add 12346 0.49999 -> 12346 Inexact Rounded
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| 155 | radx216 add 12346 0.5 -> 12347 Inexact Rounded
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| 156 | radx217 add 12346 0.50001 -> 12347 Inexact Rounded
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| 157 |
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| 158 | radx220 add 12345 0.4 -> 12345 Inexact Rounded
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| 159 | radx221 add 12345 0.49 -> 12345 Inexact Rounded
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| 160 | radx222 add 12345 0.499 -> 12345 Inexact Rounded
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| 161 | radx223 add 12345 0.49999 -> 12345 Inexact Rounded
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| 162 | radx224 add 12345 0.5 -> 12346 Inexact Rounded
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| 163 | radx225 add 12345 0.50001 -> 12346 Inexact Rounded
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| 164 | radx226 add 12345 0.5001 -> 12346 Inexact Rounded
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| 165 | radx227 add 12345 0.501 -> 12346 Inexact Rounded
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| 166 | radx228 add 12345 0.51 -> 12346 Inexact Rounded
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| 167 | radx229 add 12345 0.6 -> 12346 Inexact Rounded
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| 168 |
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| 169 | rounding: up
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| 170 |
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| 171 | radx230 add 12345 -0.1 -> 12345 Inexact Rounded
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| 172 | radx231 add 12345 -0.01 -> 12345 Inexact Rounded
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| 173 | radx232 add 12345 -0.001 -> 12345 Inexact Rounded
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| 174 | radx233 add 12345 -0.00001 -> 12345 Inexact Rounded
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| 175 | radx234 add 12345 -0.000001 -> 12345 Inexact Rounded
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| 176 | radx235 add 12345 -0.0000001 -> 12345 Inexact Rounded
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| 177 | radx236 add 12345 0 -> 12345
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| 178 | radx237 add 12345 0.0000001 -> 12346 Inexact Rounded
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| 179 | radx238 add 12345 0.000001 -> 12346 Inexact Rounded
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| 180 | radx239 add 12345 0.00001 -> 12346 Inexact Rounded
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| 181 | radx240 add 12345 0.0001 -> 12346 Inexact Rounded
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| 182 | radx241 add 12345 0.001 -> 12346 Inexact Rounded
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| 183 | radx242 add 12345 0.01 -> 12346 Inexact Rounded
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| 184 | radx243 add 12345 0.1 -> 12346 Inexact Rounded
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| 185 |
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| 186 | radx245 add 12346 0.49999 -> 12347 Inexact Rounded
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| 187 | radx246 add 12346 0.5 -> 12347 Inexact Rounded
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| 188 | radx247 add 12346 0.50001 -> 12347 Inexact Rounded
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| 189 |
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| 190 | radx250 add 12345 0.4 -> 12346 Inexact Rounded
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| 191 | radx251 add 12345 0.49 -> 12346 Inexact Rounded
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| 192 | radx252 add 12345 0.499 -> 12346 Inexact Rounded
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| 193 | radx253 add 12345 0.49999 -> 12346 Inexact Rounded
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| 194 | radx254 add 12345 0.5 -> 12346 Inexact Rounded
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| 195 | radx255 add 12345 0.50001 -> 12346 Inexact Rounded
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| 196 | radx256 add 12345 0.5001 -> 12346 Inexact Rounded
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| 197 | radx257 add 12345 0.501 -> 12346 Inexact Rounded
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| 198 | radx258 add 12345 0.51 -> 12346 Inexact Rounded
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| 199 | radx259 add 12345 0.6 -> 12346 Inexact Rounded
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| 200 |
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| 201 | rounding: floor
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| 202 |
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| 203 | radx300 add 12345 -0.1 -> 12344 Inexact Rounded
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| 204 | radx301 add 12345 -0.01 -> 12344 Inexact Rounded
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| 205 | radx302 add 12345 -0.001 -> 12344 Inexact Rounded
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| 206 | radx303 add 12345 -0.00001 -> 12344 Inexact Rounded
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| 207 | radx304 add 12345 -0.000001 -> 12344 Inexact Rounded
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| 208 | radx305 add 12345 -0.0000001 -> 12344 Inexact Rounded
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| 209 | radx306 add 12345 0 -> 12345
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| 210 | radx307 add 12345 0.0000001 -> 12345 Inexact Rounded
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| 211 | radx308 add 12345 0.000001 -> 12345 Inexact Rounded
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| 212 | radx309 add 12345 0.00001 -> 12345 Inexact Rounded
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| 213 | radx310 add 12345 0.0001 -> 12345 Inexact Rounded
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| 214 | radx311 add 12345 0.001 -> 12345 Inexact Rounded
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| 215 | radx312 add 12345 0.01 -> 12345 Inexact Rounded
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| 216 | radx313 add 12345 0.1 -> 12345 Inexact Rounded
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| 217 |
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| 218 | radx315 add 12346 0.49999 -> 12346 Inexact Rounded
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| 219 | radx316 add 12346 0.5 -> 12346 Inexact Rounded
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| 220 | radx317 add 12346 0.50001 -> 12346 Inexact Rounded
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| 221 |
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| 222 | radx320 add 12345 0.4 -> 12345 Inexact Rounded
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| 223 | radx321 add 12345 0.49 -> 12345 Inexact Rounded
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| 224 | radx322 add 12345 0.499 -> 12345 Inexact Rounded
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| 225 | radx323 add 12345 0.49999 -> 12345 Inexact Rounded
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| 226 | radx324 add 12345 0.5 -> 12345 Inexact Rounded
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| 227 | radx325 add 12345 0.50001 -> 12345 Inexact Rounded
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| 228 | radx326 add 12345 0.5001 -> 12345 Inexact Rounded
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| 229 | radx327 add 12345 0.501 -> 12345 Inexact Rounded
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| 230 | radx328 add 12345 0.51 -> 12345 Inexact Rounded
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| 231 | radx329 add 12345 0.6 -> 12345 Inexact Rounded
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| 232 |
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| 233 | rounding: ceiling
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| 234 |
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| 235 | radx330 add 12345 -0.1 -> 12345 Inexact Rounded
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| 236 | radx331 add 12345 -0.01 -> 12345 Inexact Rounded
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| 237 | radx332 add 12345 -0.001 -> 12345 Inexact Rounded
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| 238 | radx333 add 12345 -0.00001 -> 12345 Inexact Rounded
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| 239 | radx334 add 12345 -0.000001 -> 12345 Inexact Rounded
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| 240 | radx335 add 12345 -0.0000001 -> 12345 Inexact Rounded
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| 241 | radx336 add 12345 0 -> 12345
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| 242 | radx337 add 12345 0.0000001 -> 12346 Inexact Rounded
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| 243 | radx338 add 12345 0.000001 -> 12346 Inexact Rounded
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| 244 | radx339 add 12345 0.00001 -> 12346 Inexact Rounded
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| 245 | radx340 add 12345 0.0001 -> 12346 Inexact Rounded
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| 246 | radx341 add 12345 0.001 -> 12346 Inexact Rounded
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| 247 | radx342 add 12345 0.01 -> 12346 Inexact Rounded
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| 248 | radx343 add 12345 0.1 -> 12346 Inexact Rounded
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| 249 |
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| 250 | radx345 add 12346 0.49999 -> 12347 Inexact Rounded
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| 251 | radx346 add 12346 0.5 -> 12347 Inexact Rounded
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| 252 | radx347 add 12346 0.50001 -> 12347 Inexact Rounded
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| 253 |
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| 254 | radx350 add 12345 0.4 -> 12346 Inexact Rounded
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| 255 | radx351 add 12345 0.49 -> 12346 Inexact Rounded
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| 256 | radx352 add 12345 0.499 -> 12346 Inexact Rounded
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| 257 | radx353 add 12345 0.49999 -> 12346 Inexact Rounded
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| 258 | radx354 add 12345 0.5 -> 12346 Inexact Rounded
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| 259 | radx355 add 12345 0.50001 -> 12346 Inexact Rounded
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| 260 | radx356 add 12345 0.5001 -> 12346 Inexact Rounded
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| 261 | radx357 add 12345 0.501 -> 12346 Inexact Rounded
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| 262 | radx358 add 12345 0.51 -> 12346 Inexact Rounded
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| 263 | radx359 add 12345 0.6 -> 12346 Inexact Rounded
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| 264 |
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| 265 | -- negatives...
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| 266 |
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| 267 | rounding: down
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| 268 |
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| 269 | rsux100 add -12345 -0.1 -> -12345 Inexact Rounded
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| 270 | rsux101 add -12345 -0.01 -> -12345 Inexact Rounded
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| 271 | rsux102 add -12345 -0.001 -> -12345 Inexact Rounded
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| 272 | rsux103 add -12345 -0.00001 -> -12345 Inexact Rounded
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| 273 | rsux104 add -12345 -0.000001 -> -12345 Inexact Rounded
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| 274 | rsux105 add -12345 -0.0000001 -> -12345 Inexact Rounded
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| 275 | rsux106 add -12345 0 -> -12345
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| 276 | rsux107 add -12345 0.0000001 -> -12344 Inexact Rounded
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| 277 | rsux108 add -12345 0.000001 -> -12344 Inexact Rounded
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| 278 | rsux109 add -12345 0.00001 -> -12344 Inexact Rounded
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| 279 | rsux110 add -12345 0.0001 -> -12344 Inexact Rounded
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| 280 | rsux111 add -12345 0.001 -> -12344 Inexact Rounded
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| 281 | rsux112 add -12345 0.01 -> -12344 Inexact Rounded
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| 282 | rsux113 add -12345 0.1 -> -12344 Inexact Rounded
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| 283 |
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| 284 | rsux115 add -12346 0.49999 -> -12345 Inexact Rounded
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| 285 | rsux116 add -12346 0.5 -> -12345 Inexact Rounded
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| 286 | rsux117 add -12346 0.50001 -> -12345 Inexact Rounded
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| 287 |
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| 288 | rsux120 add -12345 0.4 -> -12344 Inexact Rounded
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| 289 | rsux121 add -12345 0.49 -> -12344 Inexact Rounded
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| 290 | rsux122 add -12345 0.499 -> -12344 Inexact Rounded
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| 291 | rsux123 add -12345 0.49999 -> -12344 Inexact Rounded
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| 292 | rsux124 add -12345 0.5 -> -12344 Inexact Rounded
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| 293 | rsux125 add -12345 0.50001 -> -12344 Inexact Rounded
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| 294 | rsux126 add -12345 0.5001 -> -12344 Inexact Rounded
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| 295 | rsux127 add -12345 0.501 -> -12344 Inexact Rounded
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| 296 | rsux128 add -12345 0.51 -> -12344 Inexact Rounded
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| 297 | rsux129 add -12345 0.6 -> -12344 Inexact Rounded
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| 298 |
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| 299 | rounding: half_down
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| 300 |
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| 301 | rsux140 add -12345 -0.1 -> -12345 Inexact Rounded
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| 302 | rsux141 add -12345 -0.01 -> -12345 Inexact Rounded
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| 303 | rsux142 add -12345 -0.001 -> -12345 Inexact Rounded
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| 304 | rsux143 add -12345 -0.00001 -> -12345 Inexact Rounded
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| 305 | rsux144 add -12345 -0.000001 -> -12345 Inexact Rounded
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| 306 | rsux145 add -12345 -0.0000001 -> -12345 Inexact Rounded
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| 307 | rsux146 add -12345 0 -> -12345
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| 308 | rsux147 add -12345 0.0000001 -> -12345 Inexact Rounded
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| 309 | rsux148 add -12345 0.000001 -> -12345 Inexact Rounded
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| 310 | rsux149 add -12345 0.00001 -> -12345 Inexact Rounded
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| 311 | rsux150 add -12345 0.0001 -> -12345 Inexact Rounded
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| 312 | rsux151 add -12345 0.001 -> -12345 Inexact Rounded
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| 313 | rsux152 add -12345 0.01 -> -12345 Inexact Rounded
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| 314 | rsux153 add -12345 0.1 -> -12345 Inexact Rounded
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| 315 |
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| 316 | rsux155 add -12346 0.49999 -> -12346 Inexact Rounded
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| 317 | rsux156 add -12346 0.5 -> -12345 Inexact Rounded
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| 318 | rsux157 add -12346 0.50001 -> -12345 Inexact Rounded
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| 319 |
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| 320 | rsux160 add -12345 0.4 -> -12345 Inexact Rounded
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| 321 | rsux161 add -12345 0.49 -> -12345 Inexact Rounded
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| 322 | rsux162 add -12345 0.499 -> -12345 Inexact Rounded
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| 323 | rsux163 add -12345 0.49999 -> -12345 Inexact Rounded
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| 324 | rsux164 add -12345 0.5 -> -12344 Inexact Rounded
|
|---|
| 325 | rsux165 add -12345 0.50001 -> -12344 Inexact Rounded
|
|---|
| 326 | rsux166 add -12345 0.5001 -> -12344 Inexact Rounded
|
|---|
| 327 | rsux167 add -12345 0.501 -> -12344 Inexact Rounded
|
|---|
| 328 | rsux168 add -12345 0.51 -> -12344 Inexact Rounded
|
|---|
| 329 | rsux169 add -12345 0.6 -> -12344 Inexact Rounded
|
|---|
| 330 |
|
|---|
| 331 | rounding: half_even
|
|---|
| 332 |
|
|---|
| 333 | rsux170 add -12345 -0.1 -> -12345 Inexact Rounded
|
|---|
| 334 | rsux171 add -12345 -0.01 -> -12345 Inexact Rounded
|
|---|
| 335 | rsux172 add -12345 -0.001 -> -12345 Inexact Rounded
|
|---|
| 336 | rsux173 add -12345 -0.00001 -> -12345 Inexact Rounded
|
|---|
| 337 | rsux174 add -12345 -0.000001 -> -12345 Inexact Rounded
|
|---|
| 338 | rsux175 add -12345 -0.0000001 -> -12345 Inexact Rounded
|
|---|
| 339 | rsux176 add -12345 0 -> -12345
|
|---|
| 340 | rsux177 add -12345 0.0000001 -> -12345 Inexact Rounded
|
|---|
| 341 | rsux178 add -12345 0.000001 -> -12345 Inexact Rounded
|
|---|
| 342 | rsux179 add -12345 0.00001 -> -12345 Inexact Rounded
|
|---|
| 343 | rsux180 add -12345 0.0001 -> -12345 Inexact Rounded
|
|---|
| 344 | rsux181 add -12345 0.001 -> -12345 Inexact Rounded
|
|---|
| 345 | rsux182 add -12345 0.01 -> -12345 Inexact Rounded
|
|---|
| 346 | rsux183 add -12345 0.1 -> -12345 Inexact Rounded
|
|---|
| 347 |
|
|---|
| 348 | rsux185 add -12346 0.49999 -> -12346 Inexact Rounded
|
|---|
| 349 | rsux186 add -12346 0.5 -> -12346 Inexact Rounded
|
|---|
| 350 | rsux187 add -12346 0.50001 -> -12345 Inexact Rounded
|
|---|
| 351 |
|
|---|
| 352 | rsux190 add -12345 0.4 -> -12345 Inexact Rounded
|
|---|
| 353 | rsux191 add -12345 0.49 -> -12345 Inexact Rounded
|
|---|
| 354 | rsux192 add -12345 0.499 -> -12345 Inexact Rounded
|
|---|
| 355 | rsux193 add -12345 0.49999 -> -12345 Inexact Rounded
|
|---|
| 356 | rsux194 add -12345 0.5 -> -12344 Inexact Rounded
|
|---|
| 357 | rsux195 add -12345 0.50001 -> -12344 Inexact Rounded
|
|---|
| 358 | rsux196 add -12345 0.5001 -> -12344 Inexact Rounded
|
|---|
| 359 | rsux197 add -12345 0.501 -> -12344 Inexact Rounded
|
|---|
| 360 | rsux198 add -12345 0.51 -> -12344 Inexact Rounded
|
|---|
| 361 | rsux199 add -12345 0.6 -> -12344 Inexact Rounded
|
|---|
| 362 |
|
|---|
| 363 | rounding: half_up
|
|---|
| 364 |
|
|---|
| 365 | rsux200 add -12345 -0.1 -> -12345 Inexact Rounded
|
|---|
| 366 | rsux201 add -12345 -0.01 -> -12345 Inexact Rounded
|
|---|
| 367 | rsux202 add -12345 -0.001 -> -12345 Inexact Rounded
|
|---|
| 368 | rsux203 add -12345 -0.00001 -> -12345 Inexact Rounded
|
|---|
| 369 | rsux204 add -12345 -0.000001 -> -12345 Inexact Rounded
|
|---|
| 370 | rsux205 add -12345 -0.0000001 -> -12345 Inexact Rounded
|
|---|
| 371 | rsux206 add -12345 0 -> -12345
|
|---|
| 372 | rsux207 add -12345 0.0000001 -> -12345 Inexact Rounded
|
|---|
| 373 | rsux208 add -12345 0.000001 -> -12345 Inexact Rounded
|
|---|
| 374 | rsux209 add -12345 0.00001 -> -12345 Inexact Rounded
|
|---|
| 375 | rsux210 add -12345 0.0001 -> -12345 Inexact Rounded
|
|---|
| 376 | rsux211 add -12345 0.001 -> -12345 Inexact Rounded
|
|---|
| 377 | rsux212 add -12345 0.01 -> -12345 Inexact Rounded
|
|---|
| 378 | rsux213 add -12345 0.1 -> -12345 Inexact Rounded
|
|---|
| 379 |
|
|---|
| 380 | rsux215 add -12346 0.49999 -> -12346 Inexact Rounded
|
|---|
| 381 | rsux216 add -12346 0.5 -> -12346 Inexact Rounded
|
|---|
| 382 | rsux217 add -12346 0.50001 -> -12345 Inexact Rounded
|
|---|
| 383 |
|
|---|
| 384 | rsux220 add -12345 0.4 -> -12345 Inexact Rounded
|
|---|
| 385 | rsux221 add -12345 0.49 -> -12345 Inexact Rounded
|
|---|
| 386 | rsux222 add -12345 0.499 -> -12345 Inexact Rounded
|
|---|
| 387 | rsux223 add -12345 0.49999 -> -12345 Inexact Rounded
|
|---|
| 388 | rsux224 add -12345 0.5 -> -12345 Inexact Rounded
|
|---|
| 389 | rsux225 add -12345 0.50001 -> -12344 Inexact Rounded
|
|---|
| 390 | rsux226 add -12345 0.5001 -> -12344 Inexact Rounded
|
|---|
| 391 | rsux227 add -12345 0.501 -> -12344 Inexact Rounded
|
|---|
| 392 | rsux228 add -12345 0.51 -> -12344 Inexact Rounded
|
|---|
| 393 | rsux229 add -12345 0.6 -> -12344 Inexact Rounded
|
|---|
| 394 |
|
|---|
| 395 | rounding: up
|
|---|
| 396 |
|
|---|
| 397 | rsux230 add -12345 -0.1 -> -12346 Inexact Rounded
|
|---|
| 398 | rsux231 add -12345 -0.01 -> -12346 Inexact Rounded
|
|---|
| 399 | rsux232 add -12345 -0.001 -> -12346 Inexact Rounded
|
|---|
| 400 | rsux233 add -12345 -0.00001 -> -12346 Inexact Rounded
|
|---|
| 401 | rsux234 add -12345 -0.000001 -> -12346 Inexact Rounded
|
|---|
| 402 | rsux235 add -12345 -0.0000001 -> -12346 Inexact Rounded
|
|---|
| 403 | rsux236 add -12345 0 -> -12345
|
|---|
| 404 | rsux237 add -12345 0.0000001 -> -12345 Inexact Rounded
|
|---|
| 405 | rsux238 add -12345 0.000001 -> -12345 Inexact Rounded
|
|---|
| 406 | rsux239 add -12345 0.00001 -> -12345 Inexact Rounded
|
|---|
| 407 | rsux240 add -12345 0.0001 -> -12345 Inexact Rounded
|
|---|
| 408 | rsux241 add -12345 0.001 -> -12345 Inexact Rounded
|
|---|
| 409 | rsux242 add -12345 0.01 -> -12345 Inexact Rounded
|
|---|
| 410 | rsux243 add -12345 0.1 -> -12345 Inexact Rounded
|
|---|
| 411 |
|
|---|
| 412 | rsux245 add -12346 0.49999 -> -12346 Inexact Rounded
|
|---|
| 413 | rsux246 add -12346 0.5 -> -12346 Inexact Rounded
|
|---|
| 414 | rsux247 add -12346 0.50001 -> -12346 Inexact Rounded
|
|---|
| 415 |
|
|---|
| 416 | rsux250 add -12345 0.4 -> -12345 Inexact Rounded
|
|---|
| 417 | rsux251 add -12345 0.49 -> -12345 Inexact Rounded
|
|---|
| 418 | rsux252 add -12345 0.499 -> -12345 Inexact Rounded
|
|---|
| 419 | rsux253 add -12345 0.49999 -> -12345 Inexact Rounded
|
|---|
| 420 | rsux254 add -12345 0.5 -> -12345 Inexact Rounded
|
|---|
| 421 | rsux255 add -12345 0.50001 -> -12345 Inexact Rounded
|
|---|
| 422 | rsux256 add -12345 0.5001 -> -12345 Inexact Rounded
|
|---|
| 423 | rsux257 add -12345 0.501 -> -12345 Inexact Rounded
|
|---|
| 424 | rsux258 add -12345 0.51 -> -12345 Inexact Rounded
|
|---|
| 425 | rsux259 add -12345 0.6 -> -12345 Inexact Rounded
|
|---|
| 426 |
|
|---|
| 427 | rounding: floor
|
|---|
| 428 |
|
|---|
| 429 | rsux300 add -12345 -0.1 -> -12346 Inexact Rounded
|
|---|
| 430 | rsux301 add -12345 -0.01 -> -12346 Inexact Rounded
|
|---|
| 431 | rsux302 add -12345 -0.001 -> -12346 Inexact Rounded
|
|---|
| 432 | rsux303 add -12345 -0.00001 -> -12346 Inexact Rounded
|
|---|
| 433 | rsux304 add -12345 -0.000001 -> -12346 Inexact Rounded
|
|---|
| 434 | rsux305 add -12345 -0.0000001 -> -12346 Inexact Rounded
|
|---|
| 435 | rsux306 add -12345 0 -> -12345
|
|---|
| 436 | rsux307 add -12345 0.0000001 -> -12345 Inexact Rounded
|
|---|
| 437 | rsux308 add -12345 0.000001 -> -12345 Inexact Rounded
|
|---|
| 438 | rsux309 add -12345 0.00001 -> -12345 Inexact Rounded
|
|---|
| 439 | rsux310 add -12345 0.0001 -> -12345 Inexact Rounded
|
|---|
| 440 | rsux311 add -12345 0.001 -> -12345 Inexact Rounded
|
|---|
| 441 | rsux312 add -12345 0.01 -> -12345 Inexact Rounded
|
|---|
| 442 | rsux313 add -12345 0.1 -> -12345 Inexact Rounded
|
|---|
| 443 |
|
|---|
| 444 | rsux315 add -12346 0.49999 -> -12346 Inexact Rounded
|
|---|
| 445 | rsux316 add -12346 0.5 -> -12346 Inexact Rounded
|
|---|
| 446 | rsux317 add -12346 0.50001 -> -12346 Inexact Rounded
|
|---|
| 447 |
|
|---|
| 448 | rsux320 add -12345 0.4 -> -12345 Inexact Rounded
|
|---|
| 449 | rsux321 add -12345 0.49 -> -12345 Inexact Rounded
|
|---|
| 450 | rsux322 add -12345 0.499 -> -12345 Inexact Rounded
|
|---|
| 451 | rsux323 add -12345 0.49999 -> -12345 Inexact Rounded
|
|---|
| 452 | rsux324 add -12345 0.5 -> -12345 Inexact Rounded
|
|---|
| 453 | rsux325 add -12345 0.50001 -> -12345 Inexact Rounded
|
|---|
| 454 | rsux326 add -12345 0.5001 -> -12345 Inexact Rounded
|
|---|
| 455 | rsux327 add -12345 0.501 -> -12345 Inexact Rounded
|
|---|
| 456 | rsux328 add -12345 0.51 -> -12345 Inexact Rounded
|
|---|
| 457 | rsux329 add -12345 0.6 -> -12345 Inexact Rounded
|
|---|
| 458 |
|
|---|
| 459 | rounding: ceiling
|
|---|
| 460 |
|
|---|
| 461 | rsux330 add -12345 -0.1 -> -12345 Inexact Rounded
|
|---|
| 462 | rsux331 add -12345 -0.01 -> -12345 Inexact Rounded
|
|---|
| 463 | rsux332 add -12345 -0.001 -> -12345 Inexact Rounded
|
|---|
| 464 | rsux333 add -12345 -0.00001 -> -12345 Inexact Rounded
|
|---|
| 465 | rsux334 add -12345 -0.000001 -> -12345 Inexact Rounded
|
|---|
| 466 | rsux335 add -12345 -0.0000001 -> -12345 Inexact Rounded
|
|---|
| 467 | rsux336 add -12345 0 -> -12345
|
|---|
| 468 | rsux337 add -12345 0.0000001 -> -12344 Inexact Rounded
|
|---|
| 469 | rsux338 add -12345 0.000001 -> -12344 Inexact Rounded
|
|---|
| 470 | rsux339 add -12345 0.00001 -> -12344 Inexact Rounded
|
|---|
| 471 | rsux340 add -12345 0.0001 -> -12344 Inexact Rounded
|
|---|
| 472 | rsux341 add -12345 0.001 -> -12344 Inexact Rounded
|
|---|
| 473 | rsux342 add -12345 0.01 -> -12344 Inexact Rounded
|
|---|
| 474 | rsux343 add -12345 0.1 -> -12344 Inexact Rounded
|
|---|
| 475 |
|
|---|
| 476 | rsux345 add -12346 0.49999 -> -12345 Inexact Rounded
|
|---|
| 477 | rsux346 add -12346 0.5 -> -12345 Inexact Rounded
|
|---|
| 478 | rsux347 add -12346 0.50001 -> -12345 Inexact Rounded
|
|---|
| 479 |
|
|---|
| 480 | rsux350 add -12345 0.4 -> -12344 Inexact Rounded
|
|---|
| 481 | rsux351 add -12345 0.49 -> -12344 Inexact Rounded
|
|---|
| 482 | rsux352 add -12345 0.499 -> -12344 Inexact Rounded
|
|---|
| 483 | rsux353 add -12345 0.49999 -> -12344 Inexact Rounded
|
|---|
| 484 | rsux354 add -12345 0.5 -> -12344 Inexact Rounded
|
|---|
| 485 | rsux355 add -12345 0.50001 -> -12344 Inexact Rounded
|
|---|
| 486 | rsux356 add -12345 0.5001 -> -12344 Inexact Rounded
|
|---|
| 487 | rsux357 add -12345 0.501 -> -12344 Inexact Rounded
|
|---|
| 488 | rsux358 add -12345 0.51 -> -12344 Inexact Rounded
|
|---|
| 489 | rsux359 add -12345 0.6 -> -12344 Inexact Rounded
|
|---|
| 490 |
|
|---|
| 491 | -- Check cancellation subtractions
|
|---|
| 492 | -- (The IEEE 854 'curious rule' in $6.3)
|
|---|
| 493 |
|
|---|
| 494 | rounding: down
|
|---|
| 495 | rzex001 add 0 0 -> 0
|
|---|
| 496 | rzex002 add 0 -0 -> 0
|
|---|
| 497 | rzex003 add -0 0 -> 0
|
|---|
| 498 | rzex004 add -0 -0 -> -0
|
|---|
| 499 | rzex005 add 1 -1 -> 0
|
|---|
| 500 | rzex006 add -1 1 -> 0
|
|---|
| 501 | rzex007 add 1.5 -1.5 -> 0.0
|
|---|
| 502 | rzex008 add -1.5 1.5 -> 0.0
|
|---|
| 503 | rzex009 add 2 -2 -> 0
|
|---|
| 504 | rzex010 add -2 2 -> 0
|
|---|
| 505 |
|
|---|
| 506 | rounding: up
|
|---|
| 507 | rzex011 add 0 0 -> 0
|
|---|
| 508 | rzex012 add 0 -0 -> 0
|
|---|
| 509 | rzex013 add -0 0 -> 0
|
|---|
| 510 | rzex014 add -0 -0 -> -0
|
|---|
| 511 | rzex015 add 1 -1 -> 0
|
|---|
| 512 | rzex016 add -1 1 -> 0
|
|---|
| 513 | rzex017 add 1.5 -1.5 -> 0.0
|
|---|
| 514 | rzex018 add -1.5 1.5 -> 0.0
|
|---|
| 515 | rzex019 add 2 -2 -> 0
|
|---|
| 516 | rzex020 add -2 2 -> 0
|
|---|
| 517 |
|
|---|
| 518 | rounding: half_up
|
|---|
| 519 | rzex021 add 0 0 -> 0
|
|---|
| 520 | rzex022 add 0 -0 -> 0
|
|---|
| 521 | rzex023 add -0 0 -> 0
|
|---|
| 522 | rzex024 add -0 -0 -> -0
|
|---|
| 523 | rzex025 add 1 -1 -> 0
|
|---|
| 524 | rzex026 add -1 1 -> 0
|
|---|
| 525 | rzex027 add 1.5 -1.5 -> 0.0
|
|---|
| 526 | rzex028 add -1.5 1.5 -> 0.0
|
|---|
| 527 | rzex029 add 2 -2 -> 0
|
|---|
| 528 | rzex030 add -2 2 -> 0
|
|---|
| 529 |
|
|---|
| 530 | rounding: half_down
|
|---|
| 531 | rzex031 add 0 0 -> 0
|
|---|
| 532 | rzex032 add 0 -0 -> 0
|
|---|
| 533 | rzex033 add -0 0 -> 0
|
|---|
| 534 | rzex034 add -0 -0 -> -0
|
|---|
| 535 | rzex035 add 1 -1 -> 0
|
|---|
| 536 | rzex036 add -1 1 -> 0
|
|---|
| 537 | rzex037 add 1.5 -1.5 -> 0.0
|
|---|
| 538 | rzex038 add -1.5 1.5 -> 0.0
|
|---|
| 539 | rzex039 add 2 -2 -> 0
|
|---|
| 540 | rzex040 add -2 2 -> 0
|
|---|
| 541 |
|
|---|
| 542 | rounding: half_even
|
|---|
| 543 | rzex041 add 0 0 -> 0
|
|---|
| 544 | rzex042 add 0 -0 -> 0
|
|---|
| 545 | rzex043 add -0 0 -> 0
|
|---|
| 546 | rzex044 add -0 -0 -> -0
|
|---|
| 547 | rzex045 add 1 -1 -> 0
|
|---|
| 548 | rzex046 add -1 1 -> 0
|
|---|
| 549 | rzex047 add 1.5 -1.5 -> 0.0
|
|---|
| 550 | rzex048 add -1.5 1.5 -> 0.0
|
|---|
| 551 | rzex049 add 2 -2 -> 0
|
|---|
| 552 | rzex050 add -2 2 -> 0
|
|---|
| 553 |
|
|---|
| 554 | rounding: floor
|
|---|
| 555 | rzex051 add 0 0 -> 0
|
|---|
| 556 | rzex052 add 0 -0 -> -0 -- here are two 'curious'
|
|---|
| 557 | rzex053 add -0 0 -> -0 --
|
|---|
| 558 | rzex054 add -0 -0 -> -0
|
|---|
| 559 | rzex055 add 1 -1 -> -0 -- here are the rest
|
|---|
| 560 | rzex056 add -1 1 -> -0 -- ..
|
|---|
| 561 | rzex057 add 1.5 -1.5 -> -0.0 -- ..
|
|---|
| 562 | rzex058 add -1.5 1.5 -> -0.0 -- ..
|
|---|
| 563 | rzex059 add 2 -2 -> -0 -- ..
|
|---|
| 564 | rzex060 add -2 2 -> -0 -- ..
|
|---|
| 565 |
|
|---|
| 566 | rounding: ceiling
|
|---|
| 567 | rzex061 add 0 0 -> 0
|
|---|
| 568 | rzex062 add 0 -0 -> 0
|
|---|
| 569 | rzex063 add -0 0 -> 0
|
|---|
| 570 | rzex064 add -0 -0 -> -0
|
|---|
| 571 | rzex065 add 1 -1 -> 0
|
|---|
| 572 | rzex066 add -1 1 -> 0
|
|---|
| 573 | rzex067 add 1.5 -1.5 -> 0.0
|
|---|
| 574 | rzex068 add -1.5 1.5 -> 0.0
|
|---|
| 575 | rzex069 add 2 -2 -> 0
|
|---|
| 576 | rzex070 add -2 2 -> 0
|
|---|
| 577 |
|
|---|
| 578 |
|
|---|
| 579 | -- Division operators -------------------------------------------------
|
|---|
| 580 |
|
|---|
| 581 | rounding: down
|
|---|
| 582 | rdvx101 divide 12345 1 -> 12345
|
|---|
| 583 | rdvx102 divide 12345 1.0001 -> 12343 Inexact Rounded
|
|---|
| 584 | rdvx103 divide 12345 1.001 -> 12332 Inexact Rounded
|
|---|
| 585 | rdvx104 divide 12345 1.01 -> 12222 Inexact Rounded
|
|---|
| 586 | rdvx105 divide 12345 1.1 -> 11222 Inexact Rounded
|
|---|
| 587 | rdvx106 divide 12355 4 -> 3088.7 Inexact Rounded
|
|---|
| 588 | rdvx107 divide 12345 4 -> 3086.2 Inexact Rounded
|
|---|
| 589 | rdvx108 divide 12355 4.0001 -> 3088.6 Inexact Rounded
|
|---|
| 590 | rdvx109 divide 12345 4.0001 -> 3086.1 Inexact Rounded
|
|---|
| 591 | rdvx110 divide 12345 4.9 -> 2519.3 Inexact Rounded
|
|---|
| 592 | rdvx111 divide 12345 4.99 -> 2473.9 Inexact Rounded
|
|---|
| 593 | rdvx112 divide 12345 4.999 -> 2469.4 Inexact Rounded
|
|---|
| 594 | rdvx113 divide 12345 4.9999 -> 2469.0 Inexact Rounded
|
|---|
| 595 | rdvx114 divide 12345 5 -> 2469
|
|---|
| 596 | rdvx115 divide 12345 5.0001 -> 2468.9 Inexact Rounded
|
|---|
| 597 | rdvx116 divide 12345 5.001 -> 2468.5 Inexact Rounded
|
|---|
| 598 | rdvx117 divide 12345 5.01 -> 2464.0 Inexact Rounded
|
|---|
| 599 | rdvx118 divide 12345 5.1 -> 2420.5 Inexact Rounded
|
|---|
| 600 |
|
|---|
| 601 | rounding: half_down
|
|---|
| 602 | rdvx201 divide 12345 1 -> 12345
|
|---|
| 603 | rdvx202 divide 12345 1.0001 -> 12344 Inexact Rounded
|
|---|
| 604 | rdvx203 divide 12345 1.001 -> 12333 Inexact Rounded
|
|---|
| 605 | rdvx204 divide 12345 1.01 -> 12223 Inexact Rounded
|
|---|
| 606 | rdvx205 divide 12345 1.1 -> 11223 Inexact Rounded
|
|---|
| 607 | rdvx206 divide 12355 4 -> 3088.7 Inexact Rounded
|
|---|
| 608 | rdvx207 divide 12345 4 -> 3086.2 Inexact Rounded
|
|---|
| 609 | rdvx208 divide 12355 4.0001 -> 3088.7 Inexact Rounded
|
|---|
| 610 | rdvx209 divide 12345 4.0001 -> 3086.2 Inexact Rounded
|
|---|
| 611 | rdvx210 divide 12345 4.9 -> 2519.4 Inexact Rounded
|
|---|
| 612 | rdvx211 divide 12345 4.99 -> 2473.9 Inexact Rounded
|
|---|
| 613 | rdvx212 divide 12345 4.999 -> 2469.5 Inexact Rounded
|
|---|
| 614 | rdvx213 divide 12345 4.9999 -> 2469.0 Inexact Rounded
|
|---|
| 615 | rdvx214 divide 12345 5 -> 2469
|
|---|
| 616 | rdvx215 divide 12345 5.0001 -> 2469.0 Inexact Rounded
|
|---|
| 617 | rdvx216 divide 12345 5.001 -> 2468.5 Inexact Rounded
|
|---|
| 618 | rdvx217 divide 12345 5.01 -> 2464.1 Inexact Rounded
|
|---|
| 619 | rdvx218 divide 12345 5.1 -> 2420.6 Inexact Rounded
|
|---|
| 620 |
|
|---|
| 621 | rounding: half_even
|
|---|
| 622 | rdvx301 divide 12345 1 -> 12345
|
|---|
| 623 | rdvx302 divide 12345 1.0001 -> 12344 Inexact Rounded
|
|---|
| 624 | rdvx303 divide 12345 1.001 -> 12333 Inexact Rounded
|
|---|
| 625 | rdvx304 divide 12345 1.01 -> 12223 Inexact Rounded
|
|---|
| 626 | rdvx305 divide 12345 1.1 -> 11223 Inexact Rounded
|
|---|
| 627 | rdvx306 divide 12355 4 -> 3088.8 Inexact Rounded
|
|---|
| 628 | rdvx307 divide 12345 4 -> 3086.2 Inexact Rounded
|
|---|
| 629 | rdvx308 divide 12355 4.0001 -> 3088.7 Inexact Rounded
|
|---|
| 630 | rdvx309 divide 12345 4.0001 -> 3086.2 Inexact Rounded
|
|---|
| 631 | rdvx310 divide 12345 4.9 -> 2519.4 Inexact Rounded
|
|---|
| 632 | rdvx311 divide 12345 4.99 -> 2473.9 Inexact Rounded
|
|---|
| 633 | rdvx312 divide 12345 4.999 -> 2469.5 Inexact Rounded
|
|---|
| 634 | rdvx313 divide 12345 4.9999 -> 2469.0 Inexact Rounded
|
|---|
| 635 | rdvx314 divide 12345 5 -> 2469
|
|---|
| 636 | rdvx315 divide 12345 5.0001 -> 2469.0 Inexact Rounded
|
|---|
| 637 | rdvx316 divide 12345 5.001 -> 2468.5 Inexact Rounded
|
|---|
| 638 | rdvx317 divide 12345 5.01 -> 2464.1 Inexact Rounded
|
|---|
| 639 | rdvx318 divide 12345 5.1 -> 2420.6 Inexact Rounded
|
|---|
| 640 |
|
|---|
| 641 | rounding: half_up
|
|---|
| 642 | rdvx401 divide 12345 1 -> 12345
|
|---|
| 643 | rdvx402 divide 12345 1.0001 -> 12344 Inexact Rounded
|
|---|
| 644 | rdvx403 divide 12345 1.001 -> 12333 Inexact Rounded
|
|---|
| 645 | rdvx404 divide 12345 1.01 -> 12223 Inexact Rounded
|
|---|
| 646 | rdvx405 divide 12345 1.1 -> 11223 Inexact Rounded
|
|---|
| 647 | rdvx406 divide 12355 4 -> 3088.8 Inexact Rounded
|
|---|
| 648 | rdvx407 divide 12345 4 -> 3086.3 Inexact Rounded
|
|---|
| 649 | rdvx408 divide 12355 4.0001 -> 3088.7 Inexact Rounded
|
|---|
| 650 | rdvx409 divide 12345 4.0001 -> 3086.2 Inexact Rounded
|
|---|
| 651 | rdvx410 divide 12345 4.9 -> 2519.4 Inexact Rounded
|
|---|
| 652 | rdvx411 divide 12345 4.99 -> 2473.9 Inexact Rounded
|
|---|
| 653 | rdvx412 divide 12345 4.999 -> 2469.5 Inexact Rounded
|
|---|
| 654 | rdvx413 divide 12345 4.9999 -> 2469.0 Inexact Rounded
|
|---|
| 655 | rdvx414 divide 12345 5 -> 2469
|
|---|
| 656 | rdvx415 divide 12345 5.0001 -> 2469.0 Inexact Rounded
|
|---|
| 657 | rdvx416 divide 12345 5.001 -> 2468.5 Inexact Rounded
|
|---|
| 658 | rdvx417 divide 12345 5.01 -> 2464.1 Inexact Rounded
|
|---|
| 659 | rdvx418 divide 12345 5.1 -> 2420.6 Inexact Rounded
|
|---|
| 660 |
|
|---|
| 661 | rounding: up
|
|---|
| 662 | rdvx501 divide 12345 1 -> 12345
|
|---|
| 663 | rdvx502 divide 12345 1.0001 -> 12344 Inexact Rounded
|
|---|
| 664 | rdvx503 divide 12345 1.001 -> 12333 Inexact Rounded
|
|---|
| 665 | rdvx504 divide 12345 1.01 -> 12223 Inexact Rounded
|
|---|
| 666 | rdvx505 divide 12345 1.1 -> 11223 Inexact Rounded
|
|---|
| 667 | rdvx506 divide 12355 4 -> 3088.8 Inexact Rounded
|
|---|
| 668 | rdvx507 divide 12345 4 -> 3086.3 Inexact Rounded
|
|---|
| 669 | rdvx508 divide 12355 4.0001 -> 3088.7 Inexact Rounded
|
|---|
| 670 | rdvx509 divide 12345 4.0001 -> 3086.2 Inexact Rounded
|
|---|
| 671 | rdvx510 divide 12345 4.9 -> 2519.4 Inexact Rounded
|
|---|
| 672 | rdvx511 divide 12345 4.99 -> 2474.0 Inexact Rounded
|
|---|
| 673 | rdvx512 divide 12345 4.999 -> 2469.5 Inexact Rounded
|
|---|
| 674 | rdvx513 divide 12345 4.9999 -> 2469.1 Inexact Rounded
|
|---|
| 675 | rdvx514 divide 12345 5 -> 2469
|
|---|
| 676 | rdvx515 divide 12345 5.0001 -> 2469.0 Inexact Rounded
|
|---|
| 677 | rdvx516 divide 12345 5.001 -> 2468.6 Inexact Rounded
|
|---|
| 678 | rdvx517 divide 12345 5.01 -> 2464.1 Inexact Rounded
|
|---|
| 679 | rdvx518 divide 12345 5.1 -> 2420.6 Inexact Rounded
|
|---|
| 680 |
|
|---|
| 681 | rounding: floor
|
|---|
| 682 | rdvx601 divide 12345 1 -> 12345
|
|---|
| 683 | rdvx602 divide 12345 1.0001 -> 12343 Inexact Rounded
|
|---|
| 684 | rdvx603 divide 12345 1.001 -> 12332 Inexact Rounded
|
|---|
| 685 | rdvx604 divide 12345 1.01 -> 12222 Inexact Rounded
|
|---|
| 686 | rdvx605 divide 12345 1.1 -> 11222 Inexact Rounded
|
|---|
| 687 | rdvx606 divide 12355 4 -> 3088.7 Inexact Rounded
|
|---|
| 688 | rdvx607 divide 12345 4 -> 3086.2 Inexact Rounded
|
|---|
| 689 | rdvx608 divide 12355 4.0001 -> 3088.6 Inexact Rounded
|
|---|
| 690 | rdvx609 divide 12345 4.0001 -> 3086.1 Inexact Rounded
|
|---|
| 691 | rdvx610 divide 12345 4.9 -> 2519.3 Inexact Rounded
|
|---|
| 692 | rdvx611 divide 12345 4.99 -> 2473.9 Inexact Rounded
|
|---|
| 693 | rdvx612 divide 12345 4.999 -> 2469.4 Inexact Rounded
|
|---|
| 694 | rdvx613 divide 12345 4.9999 -> 2469.0 Inexact Rounded
|
|---|
| 695 | rdvx614 divide 12345 5 -> 2469
|
|---|
| 696 | rdvx615 divide 12345 5.0001 -> 2468.9 Inexact Rounded
|
|---|
| 697 | rdvx616 divide 12345 5.001 -> 2468.5 Inexact Rounded
|
|---|
| 698 | rdvx617 divide 12345 5.01 -> 2464.0 Inexact Rounded
|
|---|
| 699 | rdvx618 divide 12345 5.1 -> 2420.5 Inexact Rounded
|
|---|
| 700 |
|
|---|
| 701 | rounding: ceiling
|
|---|
| 702 | rdvx701 divide 12345 1 -> 12345
|
|---|
| 703 | rdvx702 divide 12345 1.0001 -> 12344 Inexact Rounded
|
|---|
| 704 | rdvx703 divide 12345 1.001 -> 12333 Inexact Rounded
|
|---|
| 705 | rdvx704 divide 12345 1.01 -> 12223 Inexact Rounded
|
|---|
| 706 | rdvx705 divide 12345 1.1 -> 11223 Inexact Rounded
|
|---|
| 707 | rdvx706 divide 12355 4 -> 3088.8 Inexact Rounded
|
|---|
| 708 | rdvx707 divide 12345 4 -> 3086.3 Inexact Rounded
|
|---|
| 709 | rdvx708 divide 12355 4.0001 -> 3088.7 Inexact Rounded
|
|---|
| 710 | rdvx709 divide 12345 4.0001 -> 3086.2 Inexact Rounded
|
|---|
| 711 | rdvx710 divide 12345 4.9 -> 2519.4 Inexact Rounded
|
|---|
| 712 | rdvx711 divide 12345 4.99 -> 2474.0 Inexact Rounded
|
|---|
| 713 | rdvx712 divide 12345 4.999 -> 2469.5 Inexact Rounded
|
|---|
| 714 | rdvx713 divide 12345 4.9999 -> 2469.1 Inexact Rounded
|
|---|
| 715 | rdvx714 divide 12345 5 -> 2469
|
|---|
| 716 | rdvx715 divide 12345 5.0001 -> 2469.0 Inexact Rounded
|
|---|
| 717 | rdvx716 divide 12345 5.001 -> 2468.6 Inexact Rounded
|
|---|
| 718 | rdvx717 divide 12345 5.01 -> 2464.1 Inexact Rounded
|
|---|
| 719 | rdvx718 divide 12345 5.1 -> 2420.6 Inexact Rounded
|
|---|
| 720 |
|
|---|
| 721 | -- [divideInteger and remainder unaffected]
|
|---|
| 722 |
|
|---|
| 723 | -- Multiplication operator --------------------------------------------
|
|---|
| 724 |
|
|---|
| 725 | rounding: down
|
|---|
| 726 | rmux101 multiply 12345 1 -> 12345
|
|---|
| 727 | rmux102 multiply 12345 1.0001 -> 12346 Inexact Rounded
|
|---|
| 728 | rmux103 multiply 12345 1.001 -> 12357 Inexact Rounded
|
|---|
| 729 | rmux104 multiply 12345 1.01 -> 12468 Inexact Rounded
|
|---|
| 730 | rmux105 multiply 12345 1.1 -> 13579 Inexact Rounded
|
|---|
| 731 | rmux106 multiply 12345 4 -> 49380
|
|---|
| 732 | rmux107 multiply 12345 4.0001 -> 49381 Inexact Rounded
|
|---|
| 733 | rmux108 multiply 12345 4.9 -> 60490 Inexact Rounded
|
|---|
| 734 | rmux109 multiply 12345 4.99 -> 61601 Inexact Rounded
|
|---|
| 735 | rmux110 multiply 12345 4.999 -> 61712 Inexact Rounded
|
|---|
| 736 | rmux111 multiply 12345 4.9999 -> 61723 Inexact Rounded
|
|---|
| 737 | rmux112 multiply 12345 5 -> 61725
|
|---|
| 738 | rmux113 multiply 12345 5.0001 -> 61726 Inexact Rounded
|
|---|
| 739 | rmux114 multiply 12345 5.001 -> 61737 Inexact Rounded
|
|---|
| 740 | rmux115 multiply 12345 5.01 -> 61848 Inexact Rounded
|
|---|
| 741 | rmux116 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 742 | rmux117 multiply 12345 13 -> 1.6048E+5 Inexact Rounded
|
|---|
| 743 | rmux118 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 744 | rmux119 multiply 12355 13 -> 1.6061E+5 Inexact Rounded
|
|---|
| 745 |
|
|---|
| 746 | rounding: half_down
|
|---|
| 747 | rmux201 multiply 12345 1 -> 12345
|
|---|
| 748 | rmux202 multiply 12345 1.0001 -> 12346 Inexact Rounded
|
|---|
| 749 | rmux203 multiply 12345 1.001 -> 12357 Inexact Rounded
|
|---|
| 750 | rmux204 multiply 12345 1.01 -> 12468 Inexact Rounded
|
|---|
| 751 | rmux205 multiply 12345 1.1 -> 13579 Inexact Rounded
|
|---|
| 752 | rmux206 multiply 12345 4 -> 49380
|
|---|
| 753 | rmux207 multiply 12345 4.0001 -> 49381 Inexact Rounded
|
|---|
| 754 | rmux208 multiply 12345 4.9 -> 60490 Inexact Rounded
|
|---|
| 755 | rmux209 multiply 12345 4.99 -> 61602 Inexact Rounded
|
|---|
| 756 | rmux210 multiply 12345 4.999 -> 61713 Inexact Rounded
|
|---|
| 757 | rmux211 multiply 12345 4.9999 -> 61724 Inexact Rounded
|
|---|
| 758 | rmux212 multiply 12345 5 -> 61725
|
|---|
| 759 | rmux213 multiply 12345 5.0001 -> 61726 Inexact Rounded
|
|---|
| 760 | rmux214 multiply 12345 5.001 -> 61737 Inexact Rounded
|
|---|
| 761 | rmux215 multiply 12345 5.01 -> 61848 Inexact Rounded
|
|---|
| 762 | rmux216 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 763 | rmux217 multiply 12345 13 -> 1.6048E+5 Inexact Rounded
|
|---|
| 764 | rmux218 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 765 | rmux219 multiply 12355 13 -> 1.6061E+5 Inexact Rounded
|
|---|
| 766 |
|
|---|
| 767 | rounding: half_even
|
|---|
| 768 | rmux301 multiply 12345 1 -> 12345
|
|---|
| 769 | rmux302 multiply 12345 1.0001 -> 12346 Inexact Rounded
|
|---|
| 770 | rmux303 multiply 12345 1.001 -> 12357 Inexact Rounded
|
|---|
| 771 | rmux304 multiply 12345 1.01 -> 12468 Inexact Rounded
|
|---|
| 772 | rmux305 multiply 12345 1.1 -> 13580 Inexact Rounded
|
|---|
| 773 | rmux306 multiply 12345 4 -> 49380
|
|---|
| 774 | rmux307 multiply 12345 4.0001 -> 49381 Inexact Rounded
|
|---|
| 775 | rmux308 multiply 12345 4.9 -> 60490 Inexact Rounded
|
|---|
| 776 | rmux309 multiply 12345 4.99 -> 61602 Inexact Rounded
|
|---|
| 777 | rmux310 multiply 12345 4.999 -> 61713 Inexact Rounded
|
|---|
| 778 | rmux311 multiply 12345 4.9999 -> 61724 Inexact Rounded
|
|---|
| 779 | rmux312 multiply 12345 5 -> 61725
|
|---|
| 780 | rmux313 multiply 12345 5.0001 -> 61726 Inexact Rounded
|
|---|
| 781 | rmux314 multiply 12345 5.001 -> 61737 Inexact Rounded
|
|---|
| 782 | rmux315 multiply 12345 5.01 -> 61848 Inexact Rounded
|
|---|
| 783 | rmux316 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 784 | rmux317 multiply 12345 13 -> 1.6048E+5 Inexact Rounded
|
|---|
| 785 | rmux318 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 786 | rmux319 multiply 12355 13 -> 1.6062E+5 Inexact Rounded
|
|---|
| 787 |
|
|---|
| 788 | rounding: half_up
|
|---|
| 789 | rmux401 multiply 12345 1 -> 12345
|
|---|
| 790 | rmux402 multiply 12345 1.0001 -> 12346 Inexact Rounded
|
|---|
| 791 | rmux403 multiply 12345 1.001 -> 12357 Inexact Rounded
|
|---|
| 792 | rmux404 multiply 12345 1.01 -> 12468 Inexact Rounded
|
|---|
| 793 | rmux405 multiply 12345 1.1 -> 13580 Inexact Rounded
|
|---|
| 794 | rmux406 multiply 12345 4 -> 49380
|
|---|
| 795 | rmux407 multiply 12345 4.0001 -> 49381 Inexact Rounded
|
|---|
| 796 | rmux408 multiply 12345 4.9 -> 60491 Inexact Rounded
|
|---|
| 797 | rmux409 multiply 12345 4.99 -> 61602 Inexact Rounded
|
|---|
| 798 | rmux410 multiply 12345 4.999 -> 61713 Inexact Rounded
|
|---|
| 799 | rmux411 multiply 12345 4.9999 -> 61724 Inexact Rounded
|
|---|
| 800 | rmux412 multiply 12345 5 -> 61725
|
|---|
| 801 | rmux413 multiply 12345 5.0001 -> 61726 Inexact Rounded
|
|---|
| 802 | rmux414 multiply 12345 5.001 -> 61737 Inexact Rounded
|
|---|
| 803 | rmux415 multiply 12345 5.01 -> 61848 Inexact Rounded
|
|---|
| 804 | rmux416 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 805 | rmux417 multiply 12345 13 -> 1.6049E+5 Inexact Rounded
|
|---|
| 806 | rmux418 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 807 | rmux419 multiply 12355 13 -> 1.6062E+5 Inexact Rounded
|
|---|
| 808 |
|
|---|
| 809 | rounding: up
|
|---|
| 810 | rmux501 multiply 12345 1 -> 12345
|
|---|
| 811 | rmux502 multiply 12345 1.0001 -> 12347 Inexact Rounded
|
|---|
| 812 | rmux503 multiply 12345 1.001 -> 12358 Inexact Rounded
|
|---|
| 813 | rmux504 multiply 12345 1.01 -> 12469 Inexact Rounded
|
|---|
| 814 | rmux505 multiply 12345 1.1 -> 13580 Inexact Rounded
|
|---|
| 815 | rmux506 multiply 12345 4 -> 49380
|
|---|
| 816 | rmux507 multiply 12345 4.0001 -> 49382 Inexact Rounded
|
|---|
| 817 | rmux508 multiply 12345 4.9 -> 60491 Inexact Rounded
|
|---|
| 818 | rmux509 multiply 12345 4.99 -> 61602 Inexact Rounded
|
|---|
| 819 | rmux510 multiply 12345 4.999 -> 61713 Inexact Rounded
|
|---|
| 820 | rmux511 multiply 12345 4.9999 -> 61724 Inexact Rounded
|
|---|
| 821 | rmux512 multiply 12345 5 -> 61725
|
|---|
| 822 | rmux513 multiply 12345 5.0001 -> 61727 Inexact Rounded
|
|---|
| 823 | rmux514 multiply 12345 5.001 -> 61738 Inexact Rounded
|
|---|
| 824 | rmux515 multiply 12345 5.01 -> 61849 Inexact Rounded
|
|---|
| 825 | rmux516 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 826 | rmux517 multiply 12345 13 -> 1.6049E+5 Inexact Rounded
|
|---|
| 827 | rmux518 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 828 | rmux519 multiply 12355 13 -> 1.6062E+5 Inexact Rounded
|
|---|
| 829 | -- [rmux516 & rmux518] can surprise
|
|---|
| 830 |
|
|---|
| 831 | rounding: floor
|
|---|
| 832 | rmux601 multiply 12345 1 -> 12345
|
|---|
| 833 | rmux602 multiply 12345 1.0001 -> 12346 Inexact Rounded
|
|---|
| 834 | rmux603 multiply 12345 1.001 -> 12357 Inexact Rounded
|
|---|
| 835 | rmux604 multiply 12345 1.01 -> 12468 Inexact Rounded
|
|---|
| 836 | rmux605 multiply 12345 1.1 -> 13579 Inexact Rounded
|
|---|
| 837 | rmux606 multiply 12345 4 -> 49380
|
|---|
| 838 | rmux607 multiply 12345 4.0001 -> 49381 Inexact Rounded
|
|---|
| 839 | rmux608 multiply 12345 4.9 -> 60490 Inexact Rounded
|
|---|
| 840 | rmux609 multiply 12345 4.99 -> 61601 Inexact Rounded
|
|---|
| 841 | rmux610 multiply 12345 4.999 -> 61712 Inexact Rounded
|
|---|
| 842 | rmux611 multiply 12345 4.9999 -> 61723 Inexact Rounded
|
|---|
| 843 | rmux612 multiply 12345 5 -> 61725
|
|---|
| 844 | rmux613 multiply 12345 5.0001 -> 61726 Inexact Rounded
|
|---|
| 845 | rmux614 multiply 12345 5.001 -> 61737 Inexact Rounded
|
|---|
| 846 | rmux615 multiply 12345 5.01 -> 61848 Inexact Rounded
|
|---|
| 847 | rmux616 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 848 | rmux617 multiply 12345 13 -> 1.6048E+5 Inexact Rounded
|
|---|
| 849 | rmux618 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 850 | rmux619 multiply 12355 13 -> 1.6061E+5 Inexact Rounded
|
|---|
| 851 |
|
|---|
| 852 | rounding: ceiling
|
|---|
| 853 | rmux701 multiply 12345 1 -> 12345
|
|---|
| 854 | rmux702 multiply 12345 1.0001 -> 12347 Inexact Rounded
|
|---|
| 855 | rmux703 multiply 12345 1.001 -> 12358 Inexact Rounded
|
|---|
| 856 | rmux704 multiply 12345 1.01 -> 12469 Inexact Rounded
|
|---|
| 857 | rmux705 multiply 12345 1.1 -> 13580 Inexact Rounded
|
|---|
| 858 | rmux706 multiply 12345 4 -> 49380
|
|---|
| 859 | rmux707 multiply 12345 4.0001 -> 49382 Inexact Rounded
|
|---|
| 860 | rmux708 multiply 12345 4.9 -> 60491 Inexact Rounded
|
|---|
| 861 | rmux709 multiply 12345 4.99 -> 61602 Inexact Rounded
|
|---|
| 862 | rmux710 multiply 12345 4.999 -> 61713 Inexact Rounded
|
|---|
| 863 | rmux711 multiply 12345 4.9999 -> 61724 Inexact Rounded
|
|---|
| 864 | rmux712 multiply 12345 5 -> 61725
|
|---|
| 865 | rmux713 multiply 12345 5.0001 -> 61727 Inexact Rounded
|
|---|
| 866 | rmux714 multiply 12345 5.001 -> 61738 Inexact Rounded
|
|---|
| 867 | rmux715 multiply 12345 5.01 -> 61849 Inexact Rounded
|
|---|
| 868 | rmux716 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 869 | rmux717 multiply 12345 13 -> 1.6049E+5 Inexact Rounded
|
|---|
| 870 | rmux718 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 871 | rmux719 multiply 12355 13 -> 1.6062E+5 Inexact Rounded
|
|---|
| 872 |
|
|---|
| 873 | -- Power operator -----------------------------------------------------
|
|---|
| 874 |
|
|---|
| 875 | rounding: down
|
|---|
| 876 | rpox101 power 12345 -5 -> 3.4877E-21 Inexact Rounded
|
|---|
| 877 | rpox102 power 12345 -4 -> 4.3056E-17 Inexact Rounded
|
|---|
| 878 | rpox103 power 12345 -3 -> 5.3152E-13 Inexact Rounded
|
|---|
| 879 | rpox104 power 12345 -2 -> 6.5617E-9 Inexact Rounded
|
|---|
| 880 | rpox105 power 12345 -1 -> 0.000081004 Inexact Rounded
|
|---|
| 881 | rpox106 power 12345 0 -> 1
|
|---|
| 882 | rpox107 power 12345 1 -> 12345
|
|---|
| 883 | rpox108 power 12345 2 -> 1.5239E+8 Inexact Rounded
|
|---|
| 884 | rpox109 power 12345 3 -> 1.8813E+12 Inexact Rounded
|
|---|
| 885 | rpox110 power 12345 4 -> 2.3225E+16 Inexact Rounded
|
|---|
| 886 | rpox111 power 12345 5 -> 2.8671E+20 Inexact Rounded
|
|---|
| 887 | rpox112 power 415 2 -> 1.7222E+5 Inexact Rounded
|
|---|
| 888 | rpox113 power 75 3 -> 4.2187E+5 Inexact Rounded
|
|---|
| 889 |
|
|---|
| 890 | rounding: half_down
|
|---|
| 891 | rpox201 power 12345 -5 -> 3.4877E-21 Inexact Rounded
|
|---|
| 892 | rpox202 power 12345 -4 -> 4.3056E-17 Inexact Rounded
|
|---|
| 893 | rpox203 power 12345 -3 -> 5.3153E-13 Inexact Rounded
|
|---|
| 894 | rpox204 power 12345 -2 -> 6.5617E-9 Inexact Rounded
|
|---|
| 895 | rpox205 power 12345 -1 -> 0.000081004 Inexact Rounded
|
|---|
| 896 | rpox206 power 12345 0 -> 1
|
|---|
| 897 | rpox207 power 12345 1 -> 12345
|
|---|
| 898 | rpox208 power 12345 2 -> 1.5240E+8 Inexact Rounded
|
|---|
| 899 | rpox209 power 12345 3 -> 1.8814E+12 Inexact Rounded
|
|---|
| 900 | rpox210 power 12345 4 -> 2.3225E+16 Inexact Rounded
|
|---|
| 901 | rpox211 power 12345 5 -> 2.8672E+20 Inexact Rounded
|
|---|
| 902 | rpox212 power 415 2 -> 1.7222E+5 Inexact Rounded
|
|---|
| 903 | rpox213 power 75 3 -> 4.2187E+5 Inexact Rounded
|
|---|
| 904 |
|
|---|
| 905 | rounding: half_even
|
|---|
| 906 | rpox301 power 12345 -5 -> 3.4877E-21 Inexact Rounded
|
|---|
| 907 | rpox302 power 12345 -4 -> 4.3056E-17 Inexact Rounded
|
|---|
| 908 | rpox303 power 12345 -3 -> 5.3153E-13 Inexact Rounded
|
|---|
| 909 | rpox304 power 12345 -2 -> 6.5617E-9 Inexact Rounded
|
|---|
| 910 | rpox305 power 12345 -1 -> 0.000081004 Inexact Rounded
|
|---|
| 911 | rpox306 power 12345 0 -> 1
|
|---|
| 912 | rpox307 power 12345 1 -> 12345
|
|---|
| 913 | rpox308 power 12345 2 -> 1.5240E+8 Inexact Rounded
|
|---|
| 914 | rpox309 power 12345 3 -> 1.8814E+12 Inexact Rounded
|
|---|
| 915 | rpox310 power 12345 4 -> 2.3225E+16 Inexact Rounded
|
|---|
| 916 | rpox311 power 12345 5 -> 2.8672E+20 Inexact Rounded
|
|---|
| 917 | rpox312 power 415 2 -> 1.7222E+5 Inexact Rounded
|
|---|
| 918 | rpox313 power 75 3 -> 4.2188E+5 Inexact Rounded
|
|---|
| 919 |
|
|---|
| 920 | rounding: half_up
|
|---|
| 921 | rpox401 power 12345 -5 -> 3.4877E-21 Inexact Rounded
|
|---|
| 922 | rpox402 power 12345 -4 -> 4.3056E-17 Inexact Rounded
|
|---|
| 923 | rpox403 power 12345 -3 -> 5.3153E-13 Inexact Rounded
|
|---|
| 924 | rpox404 power 12345 -2 -> 6.5617E-9 Inexact Rounded
|
|---|
| 925 | rpox405 power 12345 -1 -> 0.000081004 Inexact Rounded
|
|---|
| 926 | rpox406 power 12345 0 -> 1
|
|---|
| 927 | rpox407 power 12345 1 -> 12345
|
|---|
| 928 | rpox408 power 12345 2 -> 1.5240E+8 Inexact Rounded
|
|---|
| 929 | rpox409 power 12345 3 -> 1.8814E+12 Inexact Rounded
|
|---|
| 930 | rpox410 power 12345 4 -> 2.3225E+16 Inexact Rounded
|
|---|
| 931 | rpox411 power 12345 5 -> 2.8672E+20 Inexact Rounded
|
|---|
| 932 | rpox412 power 415 2 -> 1.7223E+5 Inexact Rounded
|
|---|
| 933 | rpox413 power 75 3 -> 4.2188E+5 Inexact Rounded
|
|---|
| 934 |
|
|---|
| 935 | rounding: up
|
|---|
| 936 | rpox501 power 12345 -5 -> 3.4878E-21 Inexact Rounded
|
|---|
| 937 | rpox502 power 12345 -4 -> 4.3057E-17 Inexact Rounded
|
|---|
| 938 | rpox503 power 12345 -3 -> 5.3153E-13 Inexact Rounded
|
|---|
| 939 | rpox504 power 12345 -2 -> 6.5618E-9 Inexact Rounded
|
|---|
| 940 | rpox505 power 12345 -1 -> 0.000081005 Inexact Rounded
|
|---|
| 941 | rpox506 power 12345 0 -> 1
|
|---|
| 942 | rpox507 power 12345 1 -> 12345
|
|---|
| 943 | rpox508 power 12345 2 -> 1.5240E+8 Inexact Rounded
|
|---|
| 944 | rpox509 power 12345 3 -> 1.8814E+12 Inexact Rounded
|
|---|
| 945 | rpox510 power 12345 4 -> 2.3226E+16 Inexact Rounded
|
|---|
| 946 | rpox511 power 12345 5 -> 2.8672E+20 Inexact Rounded
|
|---|
| 947 | rpox512 power 415 2 -> 1.7223E+5 Inexact Rounded
|
|---|
| 948 | rpox513 power 75 3 -> 4.2188E+5 Inexact Rounded
|
|---|
| 949 |
|
|---|
| 950 | rounding: floor
|
|---|
| 951 | rpox601 power 12345 -5 -> 3.4877E-21 Inexact Rounded
|
|---|
| 952 | rpox602 power 12345 -4 -> 4.3056E-17 Inexact Rounded
|
|---|
| 953 | rpox603 power 12345 -3 -> 5.3152E-13 Inexact Rounded
|
|---|
| 954 | rpox604 power 12345 -2 -> 6.5617E-9 Inexact Rounded
|
|---|
| 955 | rpox605 power 12345 -1 -> 0.000081004 Inexact Rounded
|
|---|
| 956 | rpox606 power 12345 0 -> 1
|
|---|
| 957 | rpox607 power 12345 1 -> 12345
|
|---|
| 958 | rpox608 power 12345 2 -> 1.5239E+8 Inexact Rounded
|
|---|
| 959 | rpox609 power 12345 3 -> 1.8813E+12 Inexact Rounded
|
|---|
| 960 | rpox610 power 12345 4 -> 2.3225E+16 Inexact Rounded
|
|---|
| 961 | rpox611 power 12345 5 -> 2.8671E+20 Inexact Rounded
|
|---|
| 962 | rpox612 power 415 2 -> 1.7222E+5 Inexact Rounded
|
|---|
| 963 | rpox613 power 75 3 -> 4.2187E+5 Inexact Rounded
|
|---|
| 964 |
|
|---|
| 965 | rounding: ceiling
|
|---|
| 966 | rpox701 power 12345 -5 -> 3.4878E-21 Inexact Rounded
|
|---|
| 967 | rpox702 power 12345 -4 -> 4.3057E-17 Inexact Rounded
|
|---|
| 968 | rpox703 power 12345 -3 -> 5.3153E-13 Inexact Rounded
|
|---|
| 969 | rpox704 power 12345 -2 -> 6.5618E-9 Inexact Rounded
|
|---|
| 970 | rpox705 power 12345 -1 -> 0.000081005 Inexact Rounded
|
|---|
| 971 | rpox706 power 12345 0 -> 1
|
|---|
| 972 | rpox707 power 12345 1 -> 12345
|
|---|
| 973 | rpox708 power 12345 2 -> 1.5240E+8 Inexact Rounded
|
|---|
| 974 | rpox709 power 12345 3 -> 1.8814E+12 Inexact Rounded
|
|---|
| 975 | rpox710 power 12345 4 -> 2.3226E+16 Inexact Rounded
|
|---|
| 976 | rpox711 power 12345 5 -> 2.8672E+20 Inexact Rounded
|
|---|
| 977 | rpox712 power 415 2 -> 1.7223E+5 Inexact Rounded
|
|---|
| 978 | rpox713 power 75 3 -> 4.2188E+5 Inexact Rounded
|
|---|
| 979 |
|
|---|
| 980 | -- Underflow Subnormal and overflow values vary with rounding mode and sign
|
|---|
| 981 | maxexponent: 999999999
|
|---|
| 982 | minexponent: -999999999
|
|---|
| 983 | rounding: down
|
|---|
| 984 | rovx100 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 985 | rovx101 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 986 | rovx102 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 987 | rovx104 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 988 |
|
|---|
| 989 | rounding: up
|
|---|
| 990 | rovx110 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded
|
|---|
| 991 | rovx111 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded
|
|---|
| 992 | rovx112 divide 1E-9 9E+999999999 -> 1E-1000000003 Underflow Subnormal Inexact Rounded
|
|---|
| 993 | rovx114 divide -1E-9 9E+999999999 -> -1E-1000000003 Underflow Subnormal Inexact Rounded
|
|---|
| 994 |
|
|---|
| 995 | rounding: ceiling
|
|---|
| 996 | rovx120 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded
|
|---|
| 997 | rovx121 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 998 | rovx122 divide 1E-9 9E+999999999 -> 1E-1000000003 Underflow Subnormal Inexact Rounded
|
|---|
| 999 | rovx124 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1000 |
|
|---|
| 1001 | rounding: floor
|
|---|
| 1002 | rovx130 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 1003 | rovx131 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1004 | rovx132 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1005 | rovx134 divide -1E-9 9E+999999999 -> -1E-1000000003 Underflow Subnormal Inexact Rounded
|
|---|
| 1006 |
|
|---|
| 1007 | rounding: half_up
|
|---|
| 1008 | rovx140 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded
|
|---|
| 1009 | rovx141 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1010 | rovx142 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1011 | rovx144 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1012 |
|
|---|
| 1013 | rounding: half_even
|
|---|
| 1014 | rovx150 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded
|
|---|
| 1015 | rovx151 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1016 | rovx152 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1017 | rovx154 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1018 |
|
|---|
| 1019 | rounding: half_down
|
|---|
| 1020 | rovx160 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded
|
|---|
| 1021 | rovx161 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1022 | rovx162 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1023 | rovx164 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped
|
|---|
| 1024 |
|
|---|
| 1025 | -- check maximum finite value over a range of precisions
|
|---|
| 1026 | rounding: down
|
|---|
| 1027 | precision: 1
|
|---|
| 1028 | rovx200 multiply 10 9E+999999999 -> 9E+999999999 Overflow Inexact Rounded
|
|---|
| 1029 | rovx201 multiply -10 9E+999999999 -> -9E+999999999 Overflow Inexact Rounded
|
|---|
| 1030 | precision: 2
|
|---|
| 1031 | rovx210 multiply 10 9E+999999999 -> 9.9E+999999999 Overflow Inexact Rounded
|
|---|
| 1032 | rovx211 multiply -10 9E+999999999 -> -9.9E+999999999 Overflow Inexact Rounded
|
|---|
| 1033 | precision: 3
|
|---|
| 1034 | rovx220 multiply 10 9E+999999999 -> 9.99E+999999999 Overflow Inexact Rounded
|
|---|
| 1035 | rovx221 multiply -10 9E+999999999 -> -9.99E+999999999 Overflow Inexact Rounded
|
|---|
| 1036 | precision: 4
|
|---|
| 1037 | rovx230 multiply 10 9E+999999999 -> 9.999E+999999999 Overflow Inexact Rounded
|
|---|
| 1038 | rovx231 multiply -10 9E+999999999 -> -9.999E+999999999 Overflow Inexact Rounded
|
|---|
| 1039 | precision: 5
|
|---|
| 1040 | rovx240 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 1041 | rovx241 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 1042 | precision: 6
|
|---|
| 1043 | rovx250 multiply 10 9E+999999999 -> 9.99999E+999999999 Overflow Inexact Rounded
|
|---|
| 1044 | rovx251 multiply -10 9E+999999999 -> -9.99999E+999999999 Overflow Inexact Rounded
|
|---|
| 1045 | precision: 7
|
|---|
| 1046 | rovx260 multiply 10 9E+999999999 -> 9.999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1047 | rovx261 multiply -10 9E+999999999 -> -9.999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1048 | precision: 8
|
|---|
| 1049 | rovx270 multiply 10 9E+999999999 -> 9.9999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1050 | rovx271 multiply -10 9E+999999999 -> -9.9999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1051 | precision: 9
|
|---|
| 1052 | rovx280 multiply 10 9E+999999999 -> 9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1053 | rovx281 multiply -10 9E+999999999 -> -9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1054 | precision: 10
|
|---|
| 1055 | rovx290 multiply 10 9E+999999999 -> 9.999999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1056 | rovx291 multiply -10 9E+999999999 -> -9.999999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1057 |
|
|---|
| 1058 | -- reprise rounding mode effect (using multiplies so precision directive used)
|
|---|
| 1059 | precision: 9
|
|---|
| 1060 | maxexponent: 999999999
|
|---|
| 1061 | rounding: half_up
|
|---|
| 1062 | rmex400 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1063 | rmex401 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded
|
|---|
| 1064 | rounding: half_down
|
|---|
| 1065 | rmex402 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1066 | rmex403 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded
|
|---|
| 1067 | rounding: half_even
|
|---|
| 1068 | rmex404 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1069 | rmex405 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded
|
|---|
| 1070 | rounding: floor
|
|---|
| 1071 | rmex406 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1072 | rmex407 multiply 9.999E+999999999 10 -> 9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1073 | rounding: ceiling
|
|---|
| 1074 | rmex408 multiply -9.999E+999999999 10 -> -9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1075 | rmex409 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded
|
|---|
| 1076 | rounding: up
|
|---|
| 1077 | rmex410 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded
|
|---|
| 1078 | rmex411 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded
|
|---|
| 1079 | rounding: down
|
|---|
| 1080 | rmex412 multiply -9.999E+999999999 10 -> -9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1081 | rmex413 multiply 9.999E+999999999 10 -> 9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1082 |
|
|---|
| 1083 | ----- Round-for-reround -----
|
|---|
| 1084 | rounding: 05up
|
|---|
| 1085 | precision: 5 -- for easier visual inspection
|
|---|
| 1086 | maxExponent: 999
|
|---|
| 1087 | minexponent: -999
|
|---|
| 1088 |
|
|---|
| 1089 | -- basic rounding; really is just 0 and 5 up
|
|---|
| 1090 | r05up001 add 12340 0.001 -> 12341 Inexact Rounded
|
|---|
| 1091 | r05up002 add 12341 0.001 -> 12341 Inexact Rounded
|
|---|
| 1092 | r05up003 add 12342 0.001 -> 12342 Inexact Rounded
|
|---|
| 1093 | r05up004 add 12343 0.001 -> 12343 Inexact Rounded
|
|---|
| 1094 | r05up005 add 12344 0.001 -> 12344 Inexact Rounded
|
|---|
| 1095 | r05up006 add 12345 0.001 -> 12346 Inexact Rounded
|
|---|
| 1096 | r05up007 add 12346 0.001 -> 12346 Inexact Rounded
|
|---|
| 1097 | r05up008 add 12347 0.001 -> 12347 Inexact Rounded
|
|---|
| 1098 | r05up009 add 12348 0.001 -> 12348 Inexact Rounded
|
|---|
| 1099 | r05up010 add 12349 0.001 -> 12349 Inexact Rounded
|
|---|
| 1100 |
|
|---|
| 1101 | r05up011 add 12340 0.000 -> 12340 Rounded
|
|---|
| 1102 | r05up012 add 12341 0.000 -> 12341 Rounded
|
|---|
| 1103 | r05up013 add 12342 0.000 -> 12342 Rounded
|
|---|
| 1104 | r05up014 add 12343 0.000 -> 12343 Rounded
|
|---|
| 1105 | r05up015 add 12344 0.000 -> 12344 Rounded
|
|---|
| 1106 | r05up016 add 12345 0.000 -> 12345 Rounded
|
|---|
| 1107 | r05up017 add 12346 0.000 -> 12346 Rounded
|
|---|
| 1108 | r05up018 add 12347 0.000 -> 12347 Rounded
|
|---|
| 1109 | r05up019 add 12348 0.000 -> 12348 Rounded
|
|---|
| 1110 | r05up020 add 12349 0.000 -> 12349 Rounded
|
|---|
| 1111 |
|
|---|
| 1112 | r05up021 add 12340 0.901 -> 12341 Inexact Rounded
|
|---|
| 1113 | r05up022 add 12341 0.901 -> 12341 Inexact Rounded
|
|---|
| 1114 | r05up023 add 12342 0.901 -> 12342 Inexact Rounded
|
|---|
| 1115 | r05up024 add 12343 0.901 -> 12343 Inexact Rounded
|
|---|
| 1116 | r05up025 add 12344 0.901 -> 12344 Inexact Rounded
|
|---|
| 1117 | r05up026 add 12345 0.901 -> 12346 Inexact Rounded
|
|---|
| 1118 | r05up027 add 12346 0.901 -> 12346 Inexact Rounded
|
|---|
| 1119 | r05up028 add 12347 0.901 -> 12347 Inexact Rounded
|
|---|
| 1120 | r05up029 add 12348 0.901 -> 12348 Inexact Rounded
|
|---|
| 1121 | r05up030 add 12349 0.901 -> 12349 Inexact Rounded
|
|---|
| 1122 |
|
|---|
| 1123 | r05up031 add -12340 -0.001 -> -12341 Inexact Rounded
|
|---|
| 1124 | r05up032 add -12341 -0.001 -> -12341 Inexact Rounded
|
|---|
| 1125 | r05up033 add -12342 -0.001 -> -12342 Inexact Rounded
|
|---|
| 1126 | r05up034 add -12343 -0.001 -> -12343 Inexact Rounded
|
|---|
| 1127 | r05up035 add -12344 -0.001 -> -12344 Inexact Rounded
|
|---|
| 1128 | r05up036 add -12345 -0.001 -> -12346 Inexact Rounded
|
|---|
| 1129 | r05up037 add -12346 -0.001 -> -12346 Inexact Rounded
|
|---|
| 1130 | r05up038 add -12347 -0.001 -> -12347 Inexact Rounded
|
|---|
| 1131 | r05up039 add -12348 -0.001 -> -12348 Inexact Rounded
|
|---|
| 1132 | r05up040 add -12349 -0.001 -> -12349 Inexact Rounded
|
|---|
| 1133 |
|
|---|
| 1134 | r05up041 add -12340 0.001 -> -12339 Inexact Rounded
|
|---|
| 1135 | r05up042 add -12341 0.001 -> -12341 Inexact Rounded
|
|---|
| 1136 | r05up043 add -12342 0.001 -> -12341 Inexact Rounded
|
|---|
| 1137 | r05up044 add -12343 0.001 -> -12342 Inexact Rounded
|
|---|
| 1138 | r05up045 add -12344 0.001 -> -12343 Inexact Rounded
|
|---|
| 1139 | r05up046 add -12345 0.001 -> -12344 Inexact Rounded
|
|---|
| 1140 | r05up047 add -12346 0.001 -> -12346 Inexact Rounded
|
|---|
| 1141 | r05up048 add -12347 0.001 -> -12346 Inexact Rounded
|
|---|
| 1142 | r05up049 add -12348 0.001 -> -12347 Inexact Rounded
|
|---|
| 1143 | r05up050 add -12349 0.001 -> -12348 Inexact Rounded
|
|---|
| 1144 |
|
|---|
| 1145 | -- Addition operators -------------------------------------------------
|
|---|
| 1146 | -- [The first few of these check negative residue possibilities; these
|
|---|
| 1147 | -- cases may be implemented as a negative residue in fastpaths]
|
|---|
| 1148 |
|
|---|
| 1149 | r0adx100 add 12345 -0.1 -> 12344 Inexact Rounded
|
|---|
| 1150 | r0adx101 add 12345 -0.01 -> 12344 Inexact Rounded
|
|---|
| 1151 | r0adx102 add 12345 -0.001 -> 12344 Inexact Rounded
|
|---|
| 1152 | r0adx103 add 12345 -0.00001 -> 12344 Inexact Rounded
|
|---|
| 1153 | r0adx104 add 12345 -0.000001 -> 12344 Inexact Rounded
|
|---|
| 1154 | r0adx105 add 12345 -0.0000001 -> 12344 Inexact Rounded
|
|---|
| 1155 | r0adx106 add 12345 0 -> 12345
|
|---|
| 1156 | r0adx107 add 12345 0.0000001 -> 12346 Inexact Rounded
|
|---|
| 1157 | r0adx108 add 12345 0.000001 -> 12346 Inexact Rounded
|
|---|
| 1158 | r0adx109 add 12345 0.00001 -> 12346 Inexact Rounded
|
|---|
| 1159 | r0adx110 add 12345 0.0001 -> 12346 Inexact Rounded
|
|---|
| 1160 | r0adx111 add 12345 0.001 -> 12346 Inexact Rounded
|
|---|
| 1161 | r0adx112 add 12345 0.01 -> 12346 Inexact Rounded
|
|---|
| 1162 | r0adx113 add 12345 0.1 -> 12346 Inexact Rounded
|
|---|
| 1163 |
|
|---|
| 1164 | r0adx115 add 12346 0.49999 -> 12346 Inexact Rounded
|
|---|
| 1165 | r0adx116 add 12346 0.5 -> 12346 Inexact Rounded
|
|---|
| 1166 | r0adx117 add 12346 0.50001 -> 12346 Inexact Rounded
|
|---|
| 1167 |
|
|---|
| 1168 | r0adx120 add 12345 0.4 -> 12346 Inexact Rounded
|
|---|
| 1169 | r0adx121 add 12345 0.49 -> 12346 Inexact Rounded
|
|---|
| 1170 | r0adx122 add 12345 0.499 -> 12346 Inexact Rounded
|
|---|
| 1171 | r0adx123 add 12345 0.49999 -> 12346 Inexact Rounded
|
|---|
| 1172 | r0adx124 add 12345 0.5 -> 12346 Inexact Rounded
|
|---|
| 1173 | r0adx125 add 12345 0.50001 -> 12346 Inexact Rounded
|
|---|
| 1174 | r0adx126 add 12345 0.5001 -> 12346 Inexact Rounded
|
|---|
| 1175 | r0adx127 add 12345 0.501 -> 12346 Inexact Rounded
|
|---|
| 1176 | r0adx128 add 12345 0.51 -> 12346 Inexact Rounded
|
|---|
| 1177 | r0adx129 add 12345 0.6 -> 12346 Inexact Rounded
|
|---|
| 1178 |
|
|---|
| 1179 | -- negatives...
|
|---|
| 1180 |
|
|---|
| 1181 | r0sux100 add -12345 -0.1 -> -12346 Inexact Rounded
|
|---|
| 1182 | r0sux101 add -12345 -0.01 -> -12346 Inexact Rounded
|
|---|
| 1183 | r0sux102 add -12345 -0.001 -> -12346 Inexact Rounded
|
|---|
| 1184 | r0sux103 add -12345 -0.00001 -> -12346 Inexact Rounded
|
|---|
| 1185 | r0sux104 add -12345 -0.000001 -> -12346 Inexact Rounded
|
|---|
| 1186 | r0sux105 add -12345 -0.0000001 -> -12346 Inexact Rounded
|
|---|
| 1187 | r0sux106 add -12345 0 -> -12345
|
|---|
| 1188 | r0sux107 add -12345 0.0000001 -> -12344 Inexact Rounded
|
|---|
| 1189 | r0sux108 add -12345 0.000001 -> -12344 Inexact Rounded
|
|---|
| 1190 | r0sux109 add -12345 0.00001 -> -12344 Inexact Rounded
|
|---|
| 1191 | r0sux110 add -12345 0.0001 -> -12344 Inexact Rounded
|
|---|
| 1192 | r0sux111 add -12345 0.001 -> -12344 Inexact Rounded
|
|---|
| 1193 | r0sux112 add -12345 0.01 -> -12344 Inexact Rounded
|
|---|
| 1194 | r0sux113 add -12345 0.1 -> -12344 Inexact Rounded
|
|---|
| 1195 |
|
|---|
| 1196 | r0sux115 add -12346 0.49999 -> -12346 Inexact Rounded
|
|---|
| 1197 | r0sux116 add -12346 0.5 -> -12346 Inexact Rounded
|
|---|
| 1198 | r0sux117 add -12346 0.50001 -> -12346 Inexact Rounded
|
|---|
| 1199 |
|
|---|
| 1200 | r0sux120 add -12345 0.4 -> -12344 Inexact Rounded
|
|---|
| 1201 | r0sux121 add -12345 0.49 -> -12344 Inexact Rounded
|
|---|
| 1202 | r0sux122 add -12345 0.499 -> -12344 Inexact Rounded
|
|---|
| 1203 | r0sux123 add -12345 0.49999 -> -12344 Inexact Rounded
|
|---|
| 1204 | r0sux124 add -12345 0.5 -> -12344 Inexact Rounded
|
|---|
| 1205 | r0sux125 add -12345 0.50001 -> -12344 Inexact Rounded
|
|---|
| 1206 | r0sux126 add -12345 0.5001 -> -12344 Inexact Rounded
|
|---|
| 1207 | r0sux127 add -12345 0.501 -> -12344 Inexact Rounded
|
|---|
| 1208 | r0sux128 add -12345 0.51 -> -12344 Inexact Rounded
|
|---|
| 1209 | r0sux129 add -12345 0.6 -> -12344 Inexact Rounded
|
|---|
| 1210 |
|
|---|
| 1211 | -- Check cancellation subtractions
|
|---|
| 1212 | -- (The IEEE 854 'curious rule' in $6.3)
|
|---|
| 1213 |
|
|---|
| 1214 | r0zex001 add 0 0 -> 0
|
|---|
| 1215 | r0zex002 add 0 -0 -> 0
|
|---|
| 1216 | r0zex003 add -0 0 -> 0
|
|---|
| 1217 | r0zex004 add -0 -0 -> -0
|
|---|
| 1218 | r0zex005 add 1 -1 -> 0
|
|---|
| 1219 | r0zex006 add -1 1 -> 0
|
|---|
| 1220 | r0zex007 add 1.5 -1.5 -> 0.0
|
|---|
| 1221 | r0zex008 add -1.5 1.5 -> 0.0
|
|---|
| 1222 | r0zex009 add 2 -2 -> 0
|
|---|
| 1223 | r0zex010 add -2 2 -> 0
|
|---|
| 1224 |
|
|---|
| 1225 |
|
|---|
| 1226 | -- Division operators -------------------------------------------------
|
|---|
| 1227 |
|
|---|
| 1228 | r0dvx101 divide 12345 1 -> 12345
|
|---|
| 1229 | r0dvx102 divide 12345 1.0001 -> 12343 Inexact Rounded
|
|---|
| 1230 | r0dvx103 divide 12345 1.001 -> 12332 Inexact Rounded
|
|---|
| 1231 | r0dvx104 divide 12345 1.01 -> 12222 Inexact Rounded
|
|---|
| 1232 | r0dvx105 divide 12345 1.1 -> 11222 Inexact Rounded
|
|---|
| 1233 | r0dvx106 divide 12355 4 -> 3088.7 Inexact Rounded
|
|---|
| 1234 | r0dvx107 divide 12345 4 -> 3086.2 Inexact Rounded
|
|---|
| 1235 | r0dvx108 divide 12355 4.0001 -> 3088.6 Inexact Rounded
|
|---|
| 1236 | r0dvx109 divide 12345 4.0001 -> 3086.1 Inexact Rounded
|
|---|
| 1237 | r0dvx110 divide 12345 4.9 -> 2519.3 Inexact Rounded
|
|---|
| 1238 | r0dvx111 divide 12345 4.99 -> 2473.9 Inexact Rounded
|
|---|
| 1239 | r0dvx112 divide 12345 4.999 -> 2469.4 Inexact Rounded
|
|---|
| 1240 | r0dvx113 divide 12345 4.9999 -> 2469.1 Inexact Rounded
|
|---|
| 1241 | r0dvx114 divide 12345 5 -> 2469
|
|---|
| 1242 | r0dvx115 divide 12345 5.0001 -> 2468.9 Inexact Rounded
|
|---|
| 1243 | r0dvx116 divide 12345 5.001 -> 2468.6 Inexact Rounded
|
|---|
| 1244 | r0dvx117 divide 12345 5.01 -> 2464.1 Inexact Rounded
|
|---|
| 1245 | r0dvx118 divide 12345 5.1 -> 2420.6 Inexact Rounded
|
|---|
| 1246 |
|
|---|
| 1247 | -- [divideInteger and remainder unaffected]
|
|---|
| 1248 |
|
|---|
| 1249 | -- Multiplication operator --------------------------------------------
|
|---|
| 1250 |
|
|---|
| 1251 | r0mux101 multiply 12345 1 -> 12345
|
|---|
| 1252 | r0mux102 multiply 12345 1.0001 -> 12346 Inexact Rounded
|
|---|
| 1253 | r0mux103 multiply 12345 1.001 -> 12357 Inexact Rounded
|
|---|
| 1254 | r0mux104 multiply 12345 1.01 -> 12468 Inexact Rounded
|
|---|
| 1255 | r0mux105 multiply 12345 1.1 -> 13579 Inexact Rounded
|
|---|
| 1256 | r0mux106 multiply 12345 4 -> 49380
|
|---|
| 1257 | r0mux107 multiply 12345 4.0001 -> 49381 Inexact Rounded
|
|---|
| 1258 | r0mux108 multiply 12345 4.9 -> 60491 Inexact Rounded
|
|---|
| 1259 | r0mux109 multiply 12345 4.99 -> 61601 Inexact Rounded
|
|---|
| 1260 | r0mux110 multiply 12345 4.999 -> 61712 Inexact Rounded
|
|---|
| 1261 | r0mux111 multiply 12345 4.9999 -> 61723 Inexact Rounded
|
|---|
| 1262 | r0mux112 multiply 12345 5 -> 61725
|
|---|
| 1263 | r0mux113 multiply 12345 5.0001 -> 61726 Inexact Rounded
|
|---|
| 1264 | r0mux114 multiply 12345 5.001 -> 61737 Inexact Rounded
|
|---|
| 1265 | r0mux115 multiply 12345 5.01 -> 61848 Inexact Rounded
|
|---|
| 1266 | r0mux116 multiply 12345 12 -> 1.4814E+5 Rounded
|
|---|
| 1267 | r0mux117 multiply 12345 13 -> 1.6048E+5 Inexact Rounded
|
|---|
| 1268 | r0mux118 multiply 12355 12 -> 1.4826E+5 Rounded
|
|---|
| 1269 | r0mux119 multiply 12355 13 -> 1.6061E+5 Inexact Rounded
|
|---|
| 1270 |
|
|---|
| 1271 |
|
|---|
| 1272 | -- Power operator -----------------------------------------------------
|
|---|
| 1273 |
|
|---|
| 1274 | r0pox101 power 12345 -5 -> 3.4877E-21 Inexact Rounded
|
|---|
| 1275 | r0pox102 power 12345 -4 -> 4.3056E-17 Inexact Rounded
|
|---|
| 1276 | r0pox103 power 12345 -3 -> 5.3152E-13 Inexact Rounded
|
|---|
| 1277 | r0pox104 power 12345 -2 -> 6.5617E-9 Inexact Rounded
|
|---|
| 1278 | r0pox105 power 12345 -1 -> 0.000081004 Inexact Rounded
|
|---|
| 1279 | r0pox106 power 12345 0 -> 1
|
|---|
| 1280 | r0pox107 power 12345 1 -> 12345
|
|---|
| 1281 | r0pox108 power 12345 2 -> 1.5239E+8 Inexact Rounded
|
|---|
| 1282 | r0pox109 power 12345 3 -> 1.8813E+12 Inexact Rounded
|
|---|
| 1283 | r0pox110 power 12345 4 -> 2.3226E+16 Inexact Rounded
|
|---|
| 1284 | r0pox111 power 12345 5 -> 2.8671E+20 Inexact Rounded
|
|---|
| 1285 | r0pox112 power 415 2 -> 1.7222E+5 Inexact Rounded
|
|---|
| 1286 | r0pox113 power 75 3 -> 4.2187E+5 Inexact Rounded
|
|---|
| 1287 |
|
|---|
| 1288 |
|
|---|
| 1289 | -- Underflow Subnormal and overflow values vary with rounding mode and sign
|
|---|
| 1290 | maxexponent: 999999999
|
|---|
| 1291 | minexponent: -999999999
|
|---|
| 1292 | -- [round down gives Nmax on first two and .0E... on the next two]
|
|---|
| 1293 | r0ovx100 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 1294 | r0ovx101 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded
|
|---|
| 1295 | r0ovx102 divide 1E-9 9E+999999999 -> 1E-1000000003 Underflow Subnormal Inexact Rounded
|
|---|
| 1296 | r0ovx104 divide -1E-9 9E+999999999 -> -1E-1000000003 Underflow Subnormal Inexact Rounded
|
|---|
| 1297 |
|
|---|
| 1298 | -- reprise rounding mode effect (using multiplies so precision directive used)
|
|---|
| 1299 | precision: 9
|
|---|
| 1300 | maxexponent: 999999999
|
|---|
| 1301 | r0mex412 multiply -9.999E+999999999 10 -> -9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1302 | r0mex413 multiply 9.999E+999999999 10 -> 9.99999999E+999999999 Overflow Inexact Rounded
|
|---|
| 1303 |
|
|---|
