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✏️ inexact.decTest
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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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