1 ------------------------------------------------------------------------ 2 -- inexact.decTest -- decimal inexact and rounded edge cases -- 3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4 ------------------------------------------------------------------------ 5 -- Please see the document "General Decimal Arithmetic Testcases" -- 6 -- at http://www2.hursley.ibm.com/decimal for the description of -- 7 -- these testcases. -- 8 -- -- 9 -- These testcases are experimental ('beta' versions), and they -- 10 -- may contain errors. They are offered on an as-is basis. In -- 11 -- particular, achieving the same results as the tests here is not -- 12 -- a guarantee that an implementation complies with any Standard -- 13 -- or specification. The tests are not exhaustive. -- 14 -- -- 15 -- Please send comments, suggestions, and corrections to the author: -- 16 -- Mike Cowlishaw, IBM Fellow -- 17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18 -- mfc (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 extended: 1 23 precision: 9 24 rounding: half_up 25 maxExponent: 999 26 minexponent: -999 27 28 inx001 add 1 1 -> 2 29 inx002 add 123456789 0 -> 123456789 30 inx003 add 123456789 0.0 -> 123456789 Rounded 31 inx004 add 123456789 0.00 -> 123456789 Rounded 32 inx005 add 123456789 1 -> 123456790 33 inx006 add 123456789 0.1 -> 123456789 Inexact Rounded 34 inx007 add 123456789 0.01 -> 123456789 Inexact Rounded 35 inx008 add 123456789 0.001 -> 123456789 Inexact Rounded 36 inx009 add 123456789 0.000001 -> 123456789 Inexact Rounded 37 inx010 add 123456789 0.000000001 -> 123456789 Inexact Rounded 38 inx011 add 123456789 0.000000000001 -> 123456789 Inexact Rounded 39 40 inx012 add 123456789 0.9 -> 123456790 Inexact Rounded 41 inx013 add 123456789 0.09 -> 123456789 Inexact Rounded 42 inx014 add 123456789 0.009 -> 123456789 Inexact Rounded 43 inx015 add 123456789 0.000009 -> 123456789 Inexact Rounded 44 inx016 add 123456789 0.000000009 -> 123456789 Inexact Rounded 45 inx017 add 123456789 0.000000000009 -> 123456789 Inexact Rounded 46 47 inx021 add 1 -1 -> 0 48 inx022 add 123456789 -0 -> 123456789 49 inx023 add 123456789 -0.0 -> 123456789 Rounded 50 inx024 add 123456789 -0.00 -> 123456789 Rounded 51 inx025 add 123456789 -1 -> 123456788 52 inx026 add 123456789 -0.1 -> 123456789 Inexact Rounded 53 inx027 add 123456789 -0.01 -> 123456789 Inexact Rounded 54 inx028 add 123456789 -0.001 -> 123456789 Inexact Rounded 55 inx029 add 123456789 -0.000001 -> 123456789 Inexact Rounded 56 inx030 add 123456789 -0.000000001 -> 123456789 Inexact Rounded 57 inx031 add 123456789 -0.000000000001 -> 123456789 Inexact Rounded 58 inx032 add 123456789 -0.9 -> 123456788 Inexact Rounded 59 inx033 add 123456789 -0.09 -> 123456789 Inexact Rounded 60 inx034 add 123456789 -0.009 -> 123456789 Inexact Rounded 61 inx035 add 123456789 -0.000009 -> 123456789 Inexact Rounded 62 inx036 add 123456789 -0.000000009 -> 123456789 Inexact Rounded 63 inx037 add 123456789 -0.000000000009 -> 123456789 Inexact Rounded 64 65 inx042 add 0 123456789 -> 123456789 66 inx043 add 0.0 123456789 -> 123456789 Rounded 67 inx044 add 0.00 123456789 -> 123456789 Rounded 68 inx045 add 1 123456789 -> 123456790 69 inx046 add 0.1 123456789 -> 123456789 Inexact Rounded 70 inx047 add 0.01 123456789 -> 123456789 Inexact Rounded 71 inx048 add 0.001 123456789 -> 123456789 Inexact Rounded 72 inx049 add 0.000001 123456789 -> 123456789 Inexact Rounded 73 inx050 add 0.000000001 123456789 -> 123456789 Inexact Rounded 74 inx051 add 0.000000000001 123456789 -> 123456789 Inexact Rounded 75 inx052 add 0.9 123456789 -> 123456790 Inexact Rounded 76 inx053 add 0.09 123456789 -> 123456789 Inexact Rounded 77 inx054 add 0.009 123456789 -> 123456789 Inexact Rounded 78 inx055 add 0.000009 123456789 -> 123456789 Inexact Rounded 79 inx056 add 0.000000009 123456789 -> 123456789 Inexact Rounded 80 inx057 add 0.000000000009 123456789 -> 123456789 Inexact Rounded 81 82 inx062 add -0 123456789 -> 123456789 83 inx063 add -0.0 123456789 -> 123456789 Rounded 84 inx064 add -0.00 123456789 -> 123456789 Rounded 85 inx065 add -1 123456789 -> 123456788 86 inx066 add -0.1 123456789 -> 123456789 Inexact Rounded 87 inx067 add -0.01 123456789 -> 123456789 Inexact Rounded 88 inx068 add -0.001 123456789 -> 123456789 Inexact Rounded 89 inx069 add -0.000001 123456789 -> 123456789 Inexact Rounded 90 inx070 add -0.000000001 123456789 -> 123456789 Inexact Rounded 91 inx071 add -0.000000000001 123456789 -> 123456789 Inexact Rounded 92 inx072 add -0.9 123456789 -> 123456788 Inexact Rounded 93 inx073 add -0.09 123456789 -> 123456789 Inexact Rounded 94 inx074 add -0.009 123456789 -> 123456789 Inexact Rounded 95 inx075 add -0.000009 123456789 -> 123456789 Inexact Rounded 96 inx076 add -0.000000009 123456789 -> 123456789 Inexact Rounded 97 inx077 add -0.000000000009 123456789 -> 123456789 Inexact Rounded 98 99 -- some boundaries 100 inx081 add 999999999 0 -> 999999999 101 inx082 add 0.999999999 0.000000000 -> 0.999999999 102 inx083 add 999999999 1 -> 1.00000000E+9 Rounded 103 inx084 add 0.999999999 0.000000001 -> 1.00000000 Rounded 104 inx085 add 999999999 2 -> 1.00000000E+9 Inexact Rounded 105 inx086 add 0.999999999 0.000000002 -> 1.00000000 Inexact Rounded 106 inx087 add 999999999 3 -> 1.00000000E+9 Inexact Rounded 107 inx089 add 0.999999999 0.000000003 -> 1.00000000 Inexact Rounded 108 109 -- minus, plus, and subtract all assumed to work like add. 110 111 -- multiply 112 precision: 8 113 inx101 multiply 1000 1000 -> 1000000 114 inx102 multiply 9000 9000 -> 81000000 115 inx103 multiply 9999 9999 -> 99980001 116 inx104 multiply 1000 10000 -> 10000000 117 inx105 multiply 10000 10000 -> 1.0000000E+8 Rounded 118 inx106 multiply 10001 10000 -> 1.0001000E+8 Rounded 119 inx107 multiply 10001 10001 -> 1.0002000E+8 Inexact Rounded 120 inx108 multiply 10101 10001 -> 1.0102010E+8 Inexact Rounded 121 inx109 multiply 10001 10101 -> 1.0102010E+8 Inexact Rounded 122 123 -- divide 124 precision: 4 125 inx201 divide 1000 1000 -> 1 126 inx202 divide 1000 1 -> 1000 127 inx203 divide 1000 2 -> 500 128 inx204 divide 1000 3 -> 333.3 Inexact Rounded 129 inx205 divide 1000 4 -> 250 130 inx206 divide 1000 5 -> 200 131 inx207 divide 1000 6 -> 166.7 Inexact Rounded 132 inx208 divide 1000 7 -> 142.9 Inexact Rounded 133 inx209 divide 1000 8 -> 125 134 inx210 divide 1000 9 -> 111.1 Inexact Rounded 135 inx211 divide 1000 10 -> 100 136 137 inx220 divide 1 1 -> 1 138 inx221 divide 1 2 -> 0.5 139 inx222 divide 1 4 -> 0.25 140 inx223 divide 1 8 -> 0.125 141 inx224 divide 1 16 -> 0.0625 142 inx225 divide 1 32 -> 0.03125 143 inx226 divide 1 64 -> 0.01563 Inexact Rounded 144 inx227 divide 1 128 -> 0.007813 Inexact Rounded 145 146 precision: 5 147 inx230 divide 1 1 -> 1 148 inx231 divide 1 2 -> 0.5 149 inx232 divide 1 4 -> 0.25 150 inx233 divide 1 8 -> 0.125 151 inx234 divide 1 16 -> 0.0625 152 inx235 divide 1 32 -> 0.03125 153 inx236 divide 1 64 -> 0.015625 154 inx237 divide 1 128 -> 0.0078125 155 156 precision: 3 157 inx240 divide 1 1 -> 1 158 inx241 divide 1 2 -> 0.5 159 inx242 divide 1 4 -> 0.25 160 inx243 divide 1 8 -> 0.125 161 inx244 divide 1 16 -> 0.0625 162 inx245 divide 1 32 -> 0.0313 Inexact Rounded 163 inx246 divide 1 64 -> 0.0156 Inexact Rounded 164 inx247 divide 1 128 -> 0.00781 Inexact Rounded 165 166 precision: 2 167 inx250 divide 1 1 -> 1 168 inx251 divide 1 2 -> 0.5 169 inx252 divide 1 4 -> 0.25 170 inx253 divide 1 8 -> 0.13 Inexact Rounded 171 inx254 divide 1 16 -> 0.063 Inexact Rounded 172 inx255 divide 1 32 -> 0.031 Inexact Rounded 173 inx256 divide 1 64 -> 0.016 Inexact Rounded 174 inx257 divide 1 128 -> 0.0078 Inexact Rounded 175 176 precision: 1 177 inx260 divide 1 1 -> 1 178 inx261 divide 1 2 -> 0.5 179 inx262 divide 1 4 -> 0.3 Inexact Rounded 180 inx263 divide 1 8 -> 0.1 Inexact Rounded 181 inx264 divide 1 16 -> 0.06 Inexact Rounded 182 inx265 divide 1 32 -> 0.03 Inexact Rounded 183 inx266 divide 1 64 -> 0.02 Inexact Rounded 184 inx267 divide 1 128 -> 0.008 Inexact Rounded 185 186 187 -- power 188 precision: 4 189 inx301 power 0.5 2 -> 0.25 190 inx302 power 0.5 4 -> 0.0625 191 inx303 power 0.5 8 -> 0.003906 Inexact Rounded 192 inx304 power 0.5 16 -> 0.00001526 Inexact Rounded 193 inx305 power 0.5 32 -> 2.328E-10 Inexact Rounded 194 195 -- compare, divideInteger, and remainder are always exact 196 197 -- rescale 198 precision: 4 199 inx401 rescale 0 0 -> 0 200 inx402 rescale 1 0 -> 1 201 inx403 rescale 0.1 +2 -> 0E+2 Inexact Rounded 202 inx404 rescale 0.1 +1 -> 0E+1 Inexact Rounded 203 inx405 rescale 0.1 0 -> 0 Inexact Rounded 204 inx406 rescale 0.1 -1 -> 0.1 205 inx407 rescale 0.1 -2 -> 0.10 206 207 -- long operands cause rounding too 208 precision: 9 209 inx801 plus 123456789 -> 123456789 210 inx802 plus 1234567890 -> 1.23456789E+9 Rounded 211 inx803 plus 1234567891 -> 1.23456789E+9 Inexact Rounded 212 inx804 plus 1234567892 -> 1.23456789E+9 Inexact Rounded 213 inx805 plus 1234567899 -> 1.23456790E+9 Inexact Rounded 214 inx806 plus 1234567900 -> 1.23456790E+9 Rounded 215 216
