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- ------------------------------------------------------------------------
- -- inexact.decTest -- decimal inexact and rounded edge cases --
- -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
- ------------------------------------------------------------------------
- -- Please see the document "General Decimal Arithmetic Testcases" --
- -- at http://www2.hursley.ibm.com/decimal for the description of --
- -- these testcases. --
- -- --
- -- These testcases are experimental ('beta' versions), and they --
- -- may contain errors. They are offered on an as-is basis. In --
- -- particular, achieving the same results as the tests here is not --
- -- a guarantee that an implementation complies with any Standard --
- -- or specification. The tests are not exhaustive. --
- -- --
- -- Please send comments, suggestions, and corrections to the author: --
- -- Mike Cowlishaw, IBM Fellow --
- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
- -- mfc@uk.ibm.com --
- ------------------------------------------------------------------------
- version: 2.59
- extended: 1
- precision: 9
- rounding: half_up
- maxExponent: 999
- minexponent: -999
- inx001 add 1 1 -> 2
- inx002 add 123456789 0 -> 123456789
- inx003 add 123456789 0.0 -> 123456789 Rounded
- inx004 add 123456789 0.00 -> 123456789 Rounded
- inx005 add 123456789 1 -> 123456790
- inx006 add 123456789 0.1 -> 123456789 Inexact Rounded
- inx007 add 123456789 0.01 -> 123456789 Inexact Rounded
- inx008 add 123456789 0.001 -> 123456789 Inexact Rounded
- inx009 add 123456789 0.000001 -> 123456789 Inexact Rounded
- inx010 add 123456789 0.000000001 -> 123456789 Inexact Rounded
- inx011 add 123456789 0.000000000001 -> 123456789 Inexact Rounded
- inx012 add 123456789 0.9 -> 123456790 Inexact Rounded
- inx013 add 123456789 0.09 -> 123456789 Inexact Rounded
- inx014 add 123456789 0.009 -> 123456789 Inexact Rounded
- inx015 add 123456789 0.000009 -> 123456789 Inexact Rounded
- inx016 add 123456789 0.000000009 -> 123456789 Inexact Rounded
- inx017 add 123456789 0.000000000009 -> 123456789 Inexact Rounded
- inx021 add 1 -1 -> 0
- inx022 add 123456789 -0 -> 123456789
- inx023 add 123456789 -0.0 -> 123456789 Rounded
- inx024 add 123456789 -0.00 -> 123456789 Rounded
- inx025 add 123456789 -1 -> 123456788
- inx026 add 123456789 -0.1 -> 123456789 Inexact Rounded
- inx027 add 123456789 -0.01 -> 123456789 Inexact Rounded
- inx028 add 123456789 -0.001 -> 123456789 Inexact Rounded
- inx029 add 123456789 -0.000001 -> 123456789 Inexact Rounded
- inx030 add 123456789 -0.000000001 -> 123456789 Inexact Rounded
- inx031 add 123456789 -0.000000000001 -> 123456789 Inexact Rounded
- inx032 add 123456789 -0.9 -> 123456788 Inexact Rounded
- inx033 add 123456789 -0.09 -> 123456789 Inexact Rounded
- inx034 add 123456789 -0.009 -> 123456789 Inexact Rounded
- inx035 add 123456789 -0.000009 -> 123456789 Inexact Rounded
- inx036 add 123456789 -0.000000009 -> 123456789 Inexact Rounded
- inx037 add 123456789 -0.000000000009 -> 123456789 Inexact Rounded
- inx042 add 0 123456789 -> 123456789
- inx043 add 0.0 123456789 -> 123456789 Rounded
- inx044 add 0.00 123456789 -> 123456789 Rounded
- inx045 add 1 123456789 -> 123456790
- inx046 add 0.1 123456789 -> 123456789 Inexact Rounded
- inx047 add 0.01 123456789 -> 123456789 Inexact Rounded
- inx048 add 0.001 123456789 -> 123456789 Inexact Rounded
- inx049 add 0.000001 123456789 -> 123456789 Inexact Rounded
- inx050 add 0.000000001 123456789 -> 123456789 Inexact Rounded
- inx051 add 0.000000000001 123456789 -> 123456789 Inexact Rounded
- inx052 add 0.9 123456789 -> 123456790 Inexact Rounded
- inx053 add 0.09 123456789 -> 123456789 Inexact Rounded
- inx054 add 0.009 123456789 -> 123456789 Inexact Rounded
- inx055 add 0.000009 123456789 -> 123456789 Inexact Rounded
- inx056 add 0.000000009 123456789 -> 123456789 Inexact Rounded
- inx057 add 0.000000000009 123456789 -> 123456789 Inexact Rounded
- inx062 add -0 123456789 -> 123456789
- inx063 add -0.0 123456789 -> 123456789 Rounded
- inx064 add -0.00 123456789 -> 123456789 Rounded
- inx065 add -1 123456789 -> 123456788
- inx066 add -0.1 123456789 -> 123456789 Inexact Rounded
- inx067 add -0.01 123456789 -> 123456789 Inexact Rounded
- inx068 add -0.001 123456789 -> 123456789 Inexact Rounded
- inx069 add -0.000001 123456789 -> 123456789 Inexact Rounded
- inx070 add -0.000000001 123456789 -> 123456789 Inexact Rounded
- inx071 add -0.000000000001 123456789 -> 123456789 Inexact Rounded
- inx072 add -0.9 123456789 -> 123456788 Inexact Rounded
- inx073 add -0.09 123456789 -> 123456789 Inexact Rounded
- inx074 add -0.009 123456789 -> 123456789 Inexact Rounded
- inx075 add -0.000009 123456789 -> 123456789 Inexact Rounded
- inx076 add -0.000000009 123456789 -> 123456789 Inexact Rounded
- inx077 add -0.000000000009 123456789 -> 123456789 Inexact Rounded
- -- some boundaries
- inx081 add 999999999 0 -> 999999999
- inx082 add 0.999999999 0.000000000 -> 0.999999999
- inx083 add 999999999 1 -> 1.00000000E+9 Rounded
- inx084 add 0.999999999 0.000000001 -> 1.00000000 Rounded
- inx085 add 999999999 2 -> 1.00000000E+9 Inexact Rounded
- inx086 add 0.999999999 0.000000002 -> 1.00000000 Inexact Rounded
- inx087 add 999999999 3 -> 1.00000000E+9 Inexact Rounded
- inx089 add 0.999999999 0.000000003 -> 1.00000000 Inexact Rounded
- -- minus, plus, and subtract all assumed to work like add.
- -- multiply
- precision: 8
- inx101 multiply 1000 1000 -> 1000000
- inx102 multiply 9000 9000 -> 81000000
- inx103 multiply 9999 9999 -> 99980001
- inx104 multiply 1000 10000 -> 10000000
- inx105 multiply 10000 10000 -> 1.0000000E+8 Rounded
- inx106 multiply 10001 10000 -> 1.0001000E+8 Rounded
- inx107 multiply 10001 10001 -> 1.0002000E+8 Inexact Rounded
- inx108 multiply 10101 10001 -> 1.0102010E+8 Inexact Rounded
- inx109 multiply 10001 10101 -> 1.0102010E+8 Inexact Rounded
- -- divide
- precision: 4
- inx201 divide 1000 1000 -> 1
- inx202 divide 1000 1 -> 1000
- inx203 divide 1000 2 -> 500
- inx204 divide 1000 3 -> 333.3 Inexact Rounded
- inx205 divide 1000 4 -> 250
- inx206 divide 1000 5 -> 200
- inx207 divide 1000 6 -> 166.7 Inexact Rounded
- inx208 divide 1000 7 -> 142.9 Inexact Rounded
- inx209 divide 1000 8 -> 125
- inx210 divide 1000 9 -> 111.1 Inexact Rounded
- inx211 divide 1000 10 -> 100
- inx220 divide 1 1 -> 1
- inx221 divide 1 2 -> 0.5
- inx222 divide 1 4 -> 0.25
- inx223 divide 1 8 -> 0.125
- inx224 divide 1 16 -> 0.0625
- inx225 divide 1 32 -> 0.03125
- inx226 divide 1 64 -> 0.01563 Inexact Rounded
- inx227 divide 1 128 -> 0.007813 Inexact Rounded
- precision: 5
- inx230 divide 1 1 -> 1
- inx231 divide 1 2 -> 0.5
- inx232 divide 1 4 -> 0.25
- inx233 divide 1 8 -> 0.125
- inx234 divide 1 16 -> 0.0625
- inx235 divide 1 32 -> 0.03125
- inx236 divide 1 64 -> 0.015625
- inx237 divide 1 128 -> 0.0078125
- precision: 3
- inx240 divide 1 1 -> 1
- inx241 divide 1 2 -> 0.5
- inx242 divide 1 4 -> 0.25
- inx243 divide 1 8 -> 0.125
- inx244 divide 1 16 -> 0.0625
- inx245 divide 1 32 -> 0.0313 Inexact Rounded
- inx246 divide 1 64 -> 0.0156 Inexact Rounded
- inx247 divide 1 128 -> 0.00781 Inexact Rounded
- precision: 2
- inx250 divide 1 1 -> 1
- inx251 divide 1 2 -> 0.5
- inx252 divide 1 4 -> 0.25
- inx253 divide 1 8 -> 0.13 Inexact Rounded
- inx254 divide 1 16 -> 0.063 Inexact Rounded
- inx255 divide 1 32 -> 0.031 Inexact Rounded
- inx256 divide 1 64 -> 0.016 Inexact Rounded
- inx257 divide 1 128 -> 0.0078 Inexact Rounded
- precision: 1
- inx260 divide 1 1 -> 1
- inx261 divide 1 2 -> 0.5
- inx262 divide 1 4 -> 0.3 Inexact Rounded
- inx263 divide 1 8 -> 0.1 Inexact Rounded
- inx264 divide 1 16 -> 0.06 Inexact Rounded
- inx265 divide 1 32 -> 0.03 Inexact Rounded
- inx266 divide 1 64 -> 0.02 Inexact Rounded
- inx267 divide 1 128 -> 0.008 Inexact Rounded
- -- power
- precision: 4
- inx301 power 0.5 2 -> 0.25
- inx302 power 0.5 4 -> 0.0625
- inx303 power 0.5 8 -> 0.003906 Inexact Rounded
- inx304 power 0.5 16 -> 0.00001526 Inexact Rounded
- inx305 power 0.5 32 -> 2.328E-10 Inexact Rounded
- -- compare, divideInteger, and remainder are always exact
- -- rescale
- precision: 4
- inx401 rescale 0 0 -> 0
- inx402 rescale 1 0 -> 1
- inx403 rescale 0.1 +2 -> 0E+2 Inexact Rounded
- inx404 rescale 0.1 +1 -> 0E+1 Inexact Rounded
- inx405 rescale 0.1 0 -> 0 Inexact Rounded
- inx406 rescale 0.1 -1 -> 0.1
- inx407 rescale 0.1 -2 -> 0.10
- -- long operands cause rounding too
- precision: 9
- inx801 plus 123456789 -> 123456789
- inx802 plus 1234567890 -> 1.23456789E+9 Rounded
- inx803 plus 1234567891 -> 1.23456789E+9 Inexact Rounded
- inx804 plus 1234567892 -> 1.23456789E+9 Inexact Rounded
- inx805 plus 1234567899 -> 1.23456790E+9 Inexact Rounded
- inx806 plus 1234567900 -> 1.23456790E+9 Rounded
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