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@uk.ibm.com -- 19------------------------------------------------------------------------ 20version: 2.59 21 22extended: 1 23precision: 9 24rounding: half_up 25maxExponent: 999 26minexponent: -999 27 28inx001 add 1 1 -> 2 29inx002 add 123456789 0 -> 123456789 30inx003 add 123456789 0.0 -> 123456789 Rounded 31inx004 add 123456789 0.00 -> 123456789 Rounded 32inx005 add 123456789 1 -> 123456790 33inx006 add 123456789 0.1 -> 123456789 Inexact Rounded 34inx007 add 123456789 0.01 -> 123456789 Inexact Rounded 35inx008 add 123456789 0.001 -> 123456789 Inexact Rounded 36inx009 add 123456789 0.000001 -> 123456789 Inexact Rounded 37inx010 add 123456789 0.000000001 -> 123456789 Inexact Rounded 38inx011 add 123456789 0.000000000001 -> 123456789 Inexact Rounded 39 40inx012 add 123456789 0.9 -> 123456790 Inexact Rounded 41inx013 add 123456789 0.09 -> 123456789 Inexact Rounded 42inx014 add 123456789 0.009 -> 123456789 Inexact Rounded 43inx015 add 123456789 0.000009 -> 123456789 Inexact Rounded 44inx016 add 123456789 0.000000009 -> 123456789 Inexact Rounded 45inx017 add 123456789 0.000000000009 -> 123456789 Inexact Rounded 46 47inx021 add 1 -1 -> 0 48inx022 add 123456789 -0 -> 123456789 49inx023 add 123456789 -0.0 -> 123456789 Rounded 50inx024 add 123456789 -0.00 -> 123456789 Rounded 51inx025 add 123456789 -1 -> 123456788 52inx026 add 123456789 -0.1 -> 123456789 Inexact Rounded 53inx027 add 123456789 -0.01 -> 123456789 Inexact Rounded 54inx028 add 123456789 -0.001 -> 123456789 Inexact Rounded 55inx029 add 123456789 -0.000001 -> 123456789 Inexact Rounded 56inx030 add 123456789 -0.000000001 -> 123456789 Inexact Rounded 57inx031 add 123456789 -0.000000000001 -> 123456789 Inexact Rounded 58inx032 add 123456789 -0.9 -> 123456788 Inexact Rounded 59inx033 add 123456789 -0.09 -> 123456789 Inexact Rounded 60inx034 add 123456789 -0.009 -> 123456789 Inexact Rounded 61inx035 add 123456789 -0.000009 -> 123456789 Inexact Rounded 62inx036 add 123456789 -0.000000009 -> 123456789 Inexact Rounded 63inx037 add 123456789 -0.000000000009 -> 123456789 Inexact Rounded 64 65inx042 add 0 123456789 -> 123456789 66inx043 add 0.0 123456789 -> 123456789 Rounded 67inx044 add 0.00 123456789 -> 123456789 Rounded 68inx045 add 1 123456789 -> 123456790 69inx046 add 0.1 123456789 -> 123456789 Inexact Rounded 70inx047 add 0.01 123456789 -> 123456789 Inexact Rounded 71inx048 add 0.001 123456789 -> 123456789 Inexact Rounded 72inx049 add 0.000001 123456789 -> 123456789 Inexact Rounded 73inx050 add 0.000000001 123456789 -> 123456789 Inexact Rounded 74inx051 add 0.000000000001 123456789 -> 123456789 Inexact Rounded 75inx052 add 0.9 123456789 -> 123456790 Inexact Rounded 76inx053 add 0.09 123456789 -> 123456789 Inexact Rounded 77inx054 add 0.009 123456789 -> 123456789 Inexact Rounded 78inx055 add 0.000009 123456789 -> 123456789 Inexact Rounded 79inx056 add 0.000000009 123456789 -> 123456789 Inexact Rounded 80inx057 add 0.000000000009 123456789 -> 123456789 Inexact Rounded 81 82inx062 add -0 123456789 -> 123456789 83inx063 add -0.0 123456789 -> 123456789 Rounded 84inx064 add -0.00 123456789 -> 123456789 Rounded 85inx065 add -1 123456789 -> 123456788 86inx066 add -0.1 123456789 -> 123456789 Inexact Rounded 87inx067 add -0.01 123456789 -> 123456789 Inexact Rounded 88inx068 add -0.001 123456789 -> 123456789 Inexact Rounded 89inx069 add -0.000001 123456789 -> 123456789 Inexact Rounded 90inx070 add -0.000000001 123456789 -> 123456789 Inexact Rounded 91inx071 add -0.000000000001 123456789 -> 123456789 Inexact Rounded 92inx072 add -0.9 123456789 -> 123456788 Inexact Rounded 93inx073 add -0.09 123456789 -> 123456789 Inexact Rounded 94inx074 add -0.009 123456789 -> 123456789 Inexact Rounded 95inx075 add -0.000009 123456789 -> 123456789 Inexact Rounded 96inx076 add -0.000000009 123456789 -> 123456789 Inexact Rounded 97inx077 add -0.000000000009 123456789 -> 123456789 Inexact Rounded 98 99-- some boundaries 100inx081 add 999999999 0 -> 999999999 101inx082 add 0.999999999 0.000000000 -> 0.999999999 102inx083 add 999999999 1 -> 1.00000000E+9 Rounded 103inx084 add 0.999999999 0.000000001 -> 1.00000000 Rounded 104inx085 add 999999999 2 -> 1.00000000E+9 Inexact Rounded 105inx086 add 0.999999999 0.000000002 -> 1.00000000 Inexact Rounded 106inx087 add 999999999 3 -> 1.00000000E+9 Inexact Rounded 107inx089 add 0.999999999 0.000000003 -> 1.00000000 Inexact Rounded 108 109-- minus, plus, and subtract all assumed to work like add. 110 111-- multiply 112precision: 8 113inx101 multiply 1000 1000 -> 1000000 114inx102 multiply 9000 9000 -> 81000000 115inx103 multiply 9999 9999 -> 99980001 116inx104 multiply 1000 10000 -> 10000000 117inx105 multiply 10000 10000 -> 1.0000000E+8 Rounded 118inx106 multiply 10001 10000 -> 1.0001000E+8 Rounded 119inx107 multiply 10001 10001 -> 1.0002000E+8 Inexact Rounded 120inx108 multiply 10101 10001 -> 1.0102010E+8 Inexact Rounded 121inx109 multiply 10001 10101 -> 1.0102010E+8 Inexact Rounded 122 123-- divide 124precision: 4 125inx201 divide 1000 1000 -> 1 126inx202 divide 1000 1 -> 1000 127inx203 divide 1000 2 -> 500 128inx204 divide 1000 3 -> 333.3 Inexact Rounded 129inx205 divide 1000 4 -> 250 130inx206 divide 1000 5 -> 200 131inx207 divide 1000 6 -> 166.7 Inexact Rounded 132inx208 divide 1000 7 -> 142.9 Inexact Rounded 133inx209 divide 1000 8 -> 125 134inx210 divide 1000 9 -> 111.1 Inexact Rounded 135inx211 divide 1000 10 -> 100 136 137inx220 divide 1 1 -> 1 138inx221 divide 1 2 -> 0.5 139inx222 divide 1 4 -> 0.25 140inx223 divide 1 8 -> 0.125 141inx224 divide 1 16 -> 0.0625 142inx225 divide 1 32 -> 0.03125 143inx226 divide 1 64 -> 0.01563 Inexact Rounded 144inx227 divide 1 128 -> 0.007813 Inexact Rounded 145 146precision: 5 147inx230 divide 1 1 -> 1 148inx231 divide 1 2 -> 0.5 149inx232 divide 1 4 -> 0.25 150inx233 divide 1 8 -> 0.125 151inx234 divide 1 16 -> 0.0625 152inx235 divide 1 32 -> 0.03125 153inx236 divide 1 64 -> 0.015625 154inx237 divide 1 128 -> 0.0078125 155 156precision: 3 157inx240 divide 1 1 -> 1 158inx241 divide 1 2 -> 0.5 159inx242 divide 1 4 -> 0.25 160inx243 divide 1 8 -> 0.125 161inx244 divide 1 16 -> 0.0625 162inx245 divide 1 32 -> 0.0313 Inexact Rounded 163inx246 divide 1 64 -> 0.0156 Inexact Rounded 164inx247 divide 1 128 -> 0.00781 Inexact Rounded 165 166precision: 2 167inx250 divide 1 1 -> 1 168inx251 divide 1 2 -> 0.5 169inx252 divide 1 4 -> 0.25 170inx253 divide 1 8 -> 0.13 Inexact Rounded 171inx254 divide 1 16 -> 0.063 Inexact Rounded 172inx255 divide 1 32 -> 0.031 Inexact Rounded 173inx256 divide 1 64 -> 0.016 Inexact Rounded 174inx257 divide 1 128 -> 0.0078 Inexact Rounded 175 176precision: 1 177inx260 divide 1 1 -> 1 178inx261 divide 1 2 -> 0.5 179inx262 divide 1 4 -> 0.3 Inexact Rounded 180inx263 divide 1 8 -> 0.1 Inexact Rounded 181inx264 divide 1 16 -> 0.06 Inexact Rounded 182inx265 divide 1 32 -> 0.03 Inexact Rounded 183inx266 divide 1 64 -> 0.02 Inexact Rounded 184inx267 divide 1 128 -> 0.008 Inexact Rounded 185 186 187-- power 188precision: 4 189inx301 power 0.5 2 -> 0.25 190inx302 power 0.5 4 -> 0.0625 191inx303 power 0.5 8 -> 0.003906 Inexact Rounded 192inx304 power 0.5 16 -> 0.00001526 Inexact Rounded 193inx305 power 0.5 32 -> 2.328E-10 Inexact Rounded 194 195-- compare, divideInteger, and remainder are always exact 196 197-- rescale 198precision: 4 199inx401 rescale 0 0 -> 0 200inx402 rescale 1 0 -> 1 201inx403 rescale 0.1 +2 -> 0E+2 Inexact Rounded 202inx404 rescale 0.1 +1 -> 0E+1 Inexact Rounded 203inx405 rescale 0.1 0 -> 0 Inexact Rounded 204inx406 rescale 0.1 -1 -> 0.1 205inx407 rescale 0.1 -2 -> 0.10 206 207-- long operands cause rounding too 208precision: 9 209inx801 plus 123456789 -> 123456789 210inx802 plus 1234567890 -> 1.23456789E+9 Rounded 211inx803 plus 1234567891 -> 1.23456789E+9 Inexact Rounded 212inx804 plus 1234567892 -> 1.23456789E+9 Inexact Rounded 213inx805 plus 1234567899 -> 1.23456790E+9 Inexact Rounded 214inx806 plus 1234567900 -> 1.23456790E+9 Rounded 215 216