| 1 | ------------------------------------------------------------------------
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| 2 | -- inexact.decTest -- decimal inexact and rounded edge cases --
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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: 999
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| 26 | minexponent: -999
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| 27 |
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| 28 | inx001 add 1 1 -> 2
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| 29 | inx002 add 123456789 0 -> 123456789
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| 30 | inx003 add 123456789 0.0 -> 123456789 Rounded
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| 31 | inx004 add 123456789 0.00 -> 123456789 Rounded
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| 32 | inx005 add 123456789 1 -> 123456790
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| 33 | inx006 add 123456789 0.1 -> 123456789 Inexact Rounded
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| 34 | inx007 add 123456789 0.01 -> 123456789 Inexact Rounded
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| 35 | inx008 add 123456789 0.001 -> 123456789 Inexact Rounded
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| 36 | inx009 add 123456789 0.000001 -> 123456789 Inexact Rounded
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| 37 | inx010 add 123456789 0.000000001 -> 123456789 Inexact Rounded
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| 38 | inx011 add 123456789 0.000000000001 -> 123456789 Inexact Rounded
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| 39 |
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| 40 | inx012 add 123456789 0.9 -> 123456790 Inexact Rounded
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| 41 | inx013 add 123456789 0.09 -> 123456789 Inexact Rounded
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| 42 | inx014 add 123456789 0.009 -> 123456789 Inexact Rounded
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| 43 | inx015 add 123456789 0.000009 -> 123456789 Inexact Rounded
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| 44 | inx016 add 123456789 0.000000009 -> 123456789 Inexact Rounded
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| 45 | inx017 add 123456789 0.000000000009 -> 123456789 Inexact Rounded
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| 46 |
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| 47 | inx021 add 1 -1 -> 0
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| 48 | inx022 add 123456789 -0 -> 123456789
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| 49 | inx023 add 123456789 -0.0 -> 123456789 Rounded
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| 50 | inx024 add 123456789 -0.00 -> 123456789 Rounded
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| 51 | inx025 add 123456789 -1 -> 123456788
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| 52 | inx026 add 123456789 -0.1 -> 123456789 Inexact Rounded
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| 53 | inx027 add 123456789 -0.01 -> 123456789 Inexact Rounded
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| 54 | inx028 add 123456789 -0.001 -> 123456789 Inexact Rounded
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| 55 | inx029 add 123456789 -0.000001 -> 123456789 Inexact Rounded
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| 56 | inx030 add 123456789 -0.000000001 -> 123456789 Inexact Rounded
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| 57 | inx031 add 123456789 -0.000000000001 -> 123456789 Inexact Rounded
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| 58 | inx032 add 123456789 -0.9 -> 123456788 Inexact Rounded
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| 59 | inx033 add 123456789 -0.09 -> 123456789 Inexact Rounded
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| 60 | inx034 add 123456789 -0.009 -> 123456789 Inexact Rounded
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| 61 | inx035 add 123456789 -0.000009 -> 123456789 Inexact Rounded
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| 62 | inx036 add 123456789 -0.000000009 -> 123456789 Inexact Rounded
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| 63 | inx037 add 123456789 -0.000000000009 -> 123456789 Inexact Rounded
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| 64 |
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| 65 | inx042 add 0 123456789 -> 123456789
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| 66 | inx043 add 0.0 123456789 -> 123456789 Rounded
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| 67 | inx044 add 0.00 123456789 -> 123456789 Rounded
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| 68 | inx045 add 1 123456789 -> 123456790
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| 69 | inx046 add 0.1 123456789 -> 123456789 Inexact Rounded
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| 70 | inx047 add 0.01 123456789 -> 123456789 Inexact Rounded
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| 71 | inx048 add 0.001 123456789 -> 123456789 Inexact Rounded
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| 72 | inx049 add 0.000001 123456789 -> 123456789 Inexact Rounded
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| 73 | inx050 add 0.000000001 123456789 -> 123456789 Inexact Rounded
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| 74 | inx051 add 0.000000000001 123456789 -> 123456789 Inexact Rounded
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| 75 | inx052 add 0.9 123456789 -> 123456790 Inexact Rounded
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| 76 | inx053 add 0.09 123456789 -> 123456789 Inexact Rounded
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| 77 | inx054 add 0.009 123456789 -> 123456789 Inexact Rounded
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| 78 | inx055 add 0.000009 123456789 -> 123456789 Inexact Rounded
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| 79 | inx056 add 0.000000009 123456789 -> 123456789 Inexact Rounded
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| 80 | inx057 add 0.000000000009 123456789 -> 123456789 Inexact Rounded
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| 81 |
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| 82 | inx062 add -0 123456789 -> 123456789
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| 83 | inx063 add -0.0 123456789 -> 123456789 Rounded
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| 84 | inx064 add -0.00 123456789 -> 123456789 Rounded
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| 85 | inx065 add -1 123456789 -> 123456788
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| 86 | inx066 add -0.1 123456789 -> 123456789 Inexact Rounded
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| 87 | inx067 add -0.01 123456789 -> 123456789 Inexact Rounded
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| 88 | inx068 add -0.001 123456789 -> 123456789 Inexact Rounded
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| 89 | inx069 add -0.000001 123456789 -> 123456789 Inexact Rounded
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| 90 | inx070 add -0.000000001 123456789 -> 123456789 Inexact Rounded
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| 91 | inx071 add -0.000000000001 123456789 -> 123456789 Inexact Rounded
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| 92 | inx072 add -0.9 123456789 -> 123456788 Inexact Rounded
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| 93 | inx073 add -0.09 123456789 -> 123456789 Inexact Rounded
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| 94 | inx074 add -0.009 123456789 -> 123456789 Inexact Rounded
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| 95 | inx075 add -0.000009 123456789 -> 123456789 Inexact Rounded
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| 96 | inx076 add -0.000000009 123456789 -> 123456789 Inexact Rounded
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| 97 | inx077 add -0.000000000009 123456789 -> 123456789 Inexact Rounded
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| 98 |
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| 99 | -- some boundaries
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| 100 | inx081 add 999999999 0 -> 999999999
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| 101 | inx082 add 0.999999999 0.000000000 -> 0.999999999
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| 102 | inx083 add 999999999 1 -> 1.00000000E+9 Rounded
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| 103 | inx084 add 0.999999999 0.000000001 -> 1.00000000 Rounded
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| 104 | inx085 add 999999999 2 -> 1.00000000E+9 Inexact Rounded
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| 105 | inx086 add 0.999999999 0.000000002 -> 1.00000000 Inexact Rounded
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| 106 | inx087 add 999999999 3 -> 1.00000000E+9 Inexact Rounded
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| 107 | inx089 add 0.999999999 0.000000003 -> 1.00000000 Inexact Rounded
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| 108 |
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| 109 | -- minus, plus, and subtract all assumed to work like add.
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| 110 |
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| 111 | -- multiply
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| 112 | precision: 8
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| 113 | inx101 multiply 1000 1000 -> 1000000
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| 114 | inx102 multiply 9000 9000 -> 81000000
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| 115 | inx103 multiply 9999 9999 -> 99980001
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| 116 | inx104 multiply 1000 10000 -> 10000000
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| 117 | inx105 multiply 10000 10000 -> 1.0000000E+8 Rounded
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| 118 | inx106 multiply 10001 10000 -> 1.0001000E+8 Rounded
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| 119 | inx107 multiply 10001 10001 -> 1.0002000E+8 Inexact Rounded
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| 120 | inx108 multiply 10101 10001 -> 1.0102010E+8 Inexact Rounded
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| 121 | inx109 multiply 10001 10101 -> 1.0102010E+8 Inexact Rounded
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| 122 |
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| 123 | -- divide
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| 124 | precision: 4
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| 125 | inx201 divide 1000 1000 -> 1
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| 126 | inx202 divide 1000 1 -> 1000
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| 127 | inx203 divide 1000 2 -> 500
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| 128 | inx204 divide 1000 3 -> 333.3 Inexact Rounded
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| 129 | inx205 divide 1000 4 -> 250
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| 130 | inx206 divide 1000 5 -> 200
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| 131 | inx207 divide 1000 6 -> 166.7 Inexact Rounded
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| 132 | inx208 divide 1000 7 -> 142.9 Inexact Rounded
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| 133 | inx209 divide 1000 8 -> 125
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| 134 | inx210 divide 1000 9 -> 111.1 Inexact Rounded
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| 135 | inx211 divide 1000 10 -> 100
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| 136 |
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| 137 | inx220 divide 1 1 -> 1
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| 138 | inx221 divide 1 2 -> 0.5
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| 139 | inx222 divide 1 4 -> 0.25
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| 140 | inx223 divide 1 8 -> 0.125
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| 141 | inx224 divide 1 16 -> 0.0625
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| 142 | inx225 divide 1 32 -> 0.03125
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| 143 | inx226 divide 1 64 -> 0.01563 Inexact Rounded
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| 144 | inx227 divide 1 128 -> 0.007813 Inexact Rounded
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| 145 |
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| 146 | precision: 5
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| 147 | inx230 divide 1 1 -> 1
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| 148 | inx231 divide 1 2 -> 0.5
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| 149 | inx232 divide 1 4 -> 0.25
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| 150 | inx233 divide 1 8 -> 0.125
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| 151 | inx234 divide 1 16 -> 0.0625
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| 152 | inx235 divide 1 32 -> 0.03125
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| 153 | inx236 divide 1 64 -> 0.015625
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| 154 | inx237 divide 1 128 -> 0.0078125
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| 155 |
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| 156 | precision: 3
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| 157 | inx240 divide 1 1 -> 1
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| 158 | inx241 divide 1 2 -> 0.5
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| 159 | inx242 divide 1 4 -> 0.25
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| 160 | inx243 divide 1 8 -> 0.125
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| 161 | inx244 divide 1 16 -> 0.0625
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| 162 | inx245 divide 1 32 -> 0.0313 Inexact Rounded
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| 163 | inx246 divide 1 64 -> 0.0156 Inexact Rounded
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| 164 | inx247 divide 1 128 -> 0.00781 Inexact Rounded
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| 165 |
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| 166 | precision: 2
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| 167 | inx250 divide 1 1 -> 1
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| 168 | inx251 divide 1 2 -> 0.5
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| 169 | inx252 divide 1 4 -> 0.25
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| 170 | inx253 divide 1 8 -> 0.13 Inexact Rounded
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| 171 | inx254 divide 1 16 -> 0.063 Inexact Rounded
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| 172 | inx255 divide 1 32 -> 0.031 Inexact Rounded
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| 173 | inx256 divide 1 64 -> 0.016 Inexact Rounded
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| 174 | inx257 divide 1 128 -> 0.0078 Inexact Rounded
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| 175 |
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| 176 | precision: 1
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| 177 | inx260 divide 1 1 -> 1
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| 178 | inx261 divide 1 2 -> 0.5
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| 179 | inx262 divide 1 4 -> 0.3 Inexact Rounded
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| 180 | inx263 divide 1 8 -> 0.1 Inexact Rounded
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| 181 | inx264 divide 1 16 -> 0.06 Inexact Rounded
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| 182 | inx265 divide 1 32 -> 0.03 Inexact Rounded
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| 183 | inx266 divide 1 64 -> 0.02 Inexact Rounded
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| 184 | inx267 divide 1 128 -> 0.008 Inexact Rounded
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| 185 |
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| 186 |
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| 187 | -- power
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| 188 | precision: 4
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| 189 | inx301 power 0.5 2 -> 0.25
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| 190 | inx302 power 0.5 4 -> 0.0625
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| 191 | inx303 power 0.5 8 -> 0.003906 Inexact Rounded
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| 192 | inx304 power 0.5 16 -> 0.00001526 Inexact Rounded
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| 193 | inx305 power 0.5 32 -> 2.328E-10 Inexact Rounded
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| 194 |
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| 195 | -- compare, divideInteger, and remainder are always exact
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| 196 |
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| 197 | -- rescale
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| 198 | precision: 4
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| 199 | inx401 rescale 0 0 -> 0
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| 200 | inx402 rescale 1 0 -> 1
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| 201 | inx403 rescale 0.1 +2 -> 0E+2 Inexact Rounded
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| 202 | inx404 rescale 0.1 +1 -> 0E+1 Inexact Rounded
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| 203 | inx405 rescale 0.1 0 -> 0 Inexact Rounded
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| 204 | inx406 rescale 0.1 -1 -> 0.1
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| 205 | inx407 rescale 0.1 -2 -> 0.10
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| 206 |
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| 207 | -- long operands cause rounding too
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| 208 | precision: 9
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| 209 | inx801 plus 123456789 -> 123456789
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| 210 | inx802 plus 1234567890 -> 1.23456789E+9 Rounded
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| 211 | inx803 plus 1234567891 -> 1.23456789E+9 Inexact Rounded
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| 212 | inx804 plus 1234567892 -> 1.23456789E+9 Inexact Rounded
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| 213 | inx805 plus 1234567899 -> 1.23456790E+9 Inexact Rounded
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| 214 | inx806 plus 1234567900 -> 1.23456790E+9 Rounded
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| 215 |
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