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