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python-3.6.zip added from Github
README.cosmo contains the necessary links.
This commit is contained in:
ahgamut
Justine Tunney
parent
75fc601ff5
commit
0c4c56ff39
4219 changed files with 1968626 additions and 0 deletions
731
third_party/python/Lib/test/decimaltestdata/multiply.decTest
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third_party/python/Lib/test/decimaltestdata/multiply.decTest
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------------------------------------------------------------------------
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-- multiply.decTest -- decimal multiplication --
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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: 384
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minexponent: -383
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-- sanity checks (as base, above)
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mulx000 multiply 2 2 -> 4
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mulx001 multiply 2 3 -> 6
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mulx002 multiply 5 1 -> 5
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mulx003 multiply 5 2 -> 10
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mulx004 multiply 1.20 2 -> 2.40
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mulx005 multiply 1.20 0 -> 0.00
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mulx006 multiply 1.20 -2 -> -2.40
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mulx007 multiply -1.20 2 -> -2.40
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mulx008 multiply -1.20 0 -> -0.00
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mulx009 multiply -1.20 -2 -> 2.40
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mulx010 multiply 5.09 7.1 -> 36.139
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mulx011 multiply 2.5 4 -> 10.0
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mulx012 multiply 2.50 4 -> 10.00
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mulx013 multiply 1.23456789 1.00000000 -> 1.23456789 Rounded
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mulx014 multiply 9.999999999 9.999999999 -> 100.000000 Inexact Rounded
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mulx015 multiply 2.50 4 -> 10.00
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precision: 6
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mulx016 multiply 2.50 4 -> 10.00
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mulx017 multiply 9.999999999 9.999999999 -> 100.000 Inexact Rounded
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mulx018 multiply 9.999999999 -9.999999999 -> -100.000 Inexact Rounded
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mulx019 multiply -9.999999999 9.999999999 -> -100.000 Inexact Rounded
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mulx020 multiply -9.999999999 -9.999999999 -> 100.000 Inexact Rounded
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-- 1999.12.21: next one is an edge case if intermediate longs are used
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precision: 15
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mulx059 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded
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precision: 30
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mulx160 multiply 999999999999 9765625 -> 9765624999990234375
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precision: 9
|
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-----
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-- zeros, etc.
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mulx021 multiply 0 0 -> 0
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mulx022 multiply 0 -0 -> -0
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mulx023 multiply -0 0 -> -0
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mulx024 multiply -0 -0 -> 0
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mulx025 multiply -0.0 -0.0 -> 0.00
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mulx026 multiply -0.0 -0.0 -> 0.00
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mulx027 multiply -0.0 -0.0 -> 0.00
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mulx028 multiply -0.0 -0.0 -> 0.00
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mulx030 multiply 5.00 1E-3 -> 0.00500
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mulx031 multiply 00.00 0.000 -> 0.00000
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mulx032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
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mulx033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
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mulx034 multiply -5.00 1E-3 -> -0.00500
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mulx035 multiply -00.00 0.000 -> -0.00000
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mulx036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
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mulx037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
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mulx038 multiply 5.00 -1E-3 -> -0.00500
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mulx039 multiply 00.00 -0.000 -> -0.00000
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mulx040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
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mulx041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
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mulx042 multiply -5.00 -1E-3 -> 0.00500
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mulx043 multiply -00.00 -0.000 -> 0.00000
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mulx044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
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mulx045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
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|
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-- examples from decarith
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mulx050 multiply 1.20 3 -> 3.60
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mulx051 multiply 7 3 -> 21
|
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mulx052 multiply 0.9 0.8 -> 0.72
|
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mulx053 multiply 0.9 -0 -> -0.0
|
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mulx054 multiply 654321 654321 -> 4.28135971E+11 Inexact Rounded
|
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|
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mulx060 multiply 123.45 1e7 -> 1.2345E+9
|
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mulx061 multiply 123.45 1e8 -> 1.2345E+10
|
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mulx062 multiply 123.45 1e+9 -> 1.2345E+11
|
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mulx063 multiply 123.45 1e10 -> 1.2345E+12
|
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mulx064 multiply 123.45 1e11 -> 1.2345E+13
|
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mulx065 multiply 123.45 1e12 -> 1.2345E+14
|
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mulx066 multiply 123.45 1e13 -> 1.2345E+15
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|
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|
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-- test some intermediate lengths
|
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precision: 9
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mulx080 multiply 0.1 123456789 -> 12345678.9
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mulx081 multiply 0.1 1234567891 -> 123456789 Inexact Rounded
|
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mulx082 multiply 0.1 12345678912 -> 1.23456789E+9 Inexact Rounded
|
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mulx083 multiply 0.1 12345678912345 -> 1.23456789E+12 Inexact Rounded
|
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mulx084 multiply 0.1 123456789 -> 12345678.9
|
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precision: 8
|
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mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded
|
||||
mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded
|
||||
precision: 7
|
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mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded
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mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded
|
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|
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precision: 9
|
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mulx090 multiply 123456789 0.1 -> 12345678.9
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mulx091 multiply 1234567891 0.1 -> 123456789 Inexact Rounded
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mulx092 multiply 12345678912 0.1 -> 1.23456789E+9 Inexact Rounded
|
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mulx093 multiply 12345678912345 0.1 -> 1.23456789E+12 Inexact Rounded
|
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mulx094 multiply 123456789 0.1 -> 12345678.9
|
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precision: 8
|
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mulx095 multiply 12345678912 0.1 -> 1.2345679E+9 Inexact Rounded
|
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mulx096 multiply 12345678912345 0.1 -> 1.2345679E+12 Inexact Rounded
|
||||
precision: 7
|
||||
mulx097 multiply 12345678912 0.1 -> 1.234568E+9 Inexact Rounded
|
||||
mulx098 multiply 12345678912345 0.1 -> 1.234568E+12 Inexact Rounded
|
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|
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-- test some more edge cases and carries
|
||||
maxexponent: 9999
|
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minexponent: -9999
|
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precision: 33
|
||||
mulx101 multiply 9 9 -> 81
|
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mulx102 multiply 9 90 -> 810
|
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mulx103 multiply 9 900 -> 8100
|
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mulx104 multiply 9 9000 -> 81000
|
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mulx105 multiply 9 90000 -> 810000
|
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mulx106 multiply 9 900000 -> 8100000
|
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mulx107 multiply 9 9000000 -> 81000000
|
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mulx108 multiply 9 90000000 -> 810000000
|
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mulx109 multiply 9 900000000 -> 8100000000
|
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mulx110 multiply 9 9000000000 -> 81000000000
|
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mulx111 multiply 9 90000000000 -> 810000000000
|
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mulx112 multiply 9 900000000000 -> 8100000000000
|
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mulx113 multiply 9 9000000000000 -> 81000000000000
|
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mulx114 multiply 9 90000000000000 -> 810000000000000
|
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mulx115 multiply 9 900000000000000 -> 8100000000000000
|
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mulx116 multiply 9 9000000000000000 -> 81000000000000000
|
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mulx117 multiply 9 90000000000000000 -> 810000000000000000
|
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mulx118 multiply 9 900000000000000000 -> 8100000000000000000
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mulx119 multiply 9 9000000000000000000 -> 81000000000000000000
|
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mulx120 multiply 9 90000000000000000000 -> 810000000000000000000
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mulx121 multiply 9 900000000000000000000 -> 8100000000000000000000
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mulx122 multiply 9 9000000000000000000000 -> 81000000000000000000000
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mulx123 multiply 9 90000000000000000000000 -> 810000000000000000000000
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-- test some more edge cases without carries
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mulx131 multiply 3 3 -> 9
|
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mulx132 multiply 3 30 -> 90
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mulx133 multiply 3 300 -> 900
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mulx134 multiply 3 3000 -> 9000
|
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mulx135 multiply 3 30000 -> 90000
|
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mulx136 multiply 3 300000 -> 900000
|
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mulx137 multiply 3 3000000 -> 9000000
|
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mulx138 multiply 3 30000000 -> 90000000
|
||||
mulx139 multiply 3 300000000 -> 900000000
|
||||
mulx140 multiply 3 3000000000 -> 9000000000
|
||||
mulx141 multiply 3 30000000000 -> 90000000000
|
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mulx142 multiply 3 300000000000 -> 900000000000
|
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mulx143 multiply 3 3000000000000 -> 9000000000000
|
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mulx144 multiply 3 30000000000000 -> 90000000000000
|
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mulx145 multiply 3 300000000000000 -> 900000000000000
|
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mulx146 multiply 3 3000000000000000 -> 9000000000000000
|
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mulx147 multiply 3 30000000000000000 -> 90000000000000000
|
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mulx148 multiply 3 300000000000000000 -> 900000000000000000
|
||||
mulx149 multiply 3 3000000000000000000 -> 9000000000000000000
|
||||
mulx150 multiply 3 30000000000000000000 -> 90000000000000000000
|
||||
mulx151 multiply 3 300000000000000000000 -> 900000000000000000000
|
||||
mulx152 multiply 3 3000000000000000000000 -> 9000000000000000000000
|
||||
mulx153 multiply 3 30000000000000000000000 -> 90000000000000000000000
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|
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maxexponent: 999999999
|
||||
minexponent: -999999999
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precision: 9
|
||||
-- test some cases that are close to exponent overflow/underflow
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mulx170 multiply 1 9e999999999 -> 9E+999999999
|
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mulx171 multiply 1 9.9e999999999 -> 9.9E+999999999
|
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mulx172 multiply 1 9.99e999999999 -> 9.99E+999999999
|
||||
mulx173 multiply 9e999999999 1 -> 9E+999999999
|
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mulx174 multiply 9.9e999999999 1 -> 9.9E+999999999
|
||||
mulx176 multiply 9.99e999999999 1 -> 9.99E+999999999
|
||||
mulx177 multiply 1 9.99999999e999999999 -> 9.99999999E+999999999
|
||||
mulx178 multiply 9.99999999e999999999 1 -> 9.99999999E+999999999
|
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|
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mulx180 multiply 0.1 9e-999999998 -> 9E-999999999
|
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mulx181 multiply 0.1 99e-999999998 -> 9.9E-999999998
|
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mulx182 multiply 0.1 999e-999999998 -> 9.99E-999999997
|
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|
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mulx183 multiply 0.1 9e-999999998 -> 9E-999999999
|
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mulx184 multiply 0.1 99e-999999998 -> 9.9E-999999998
|
||||
mulx185 multiply 0.1 999e-999999998 -> 9.99E-999999997
|
||||
mulx186 multiply 0.1 999e-999999997 -> 9.99E-999999996
|
||||
mulx187 multiply 0.1 9999e-999999997 -> 9.999E-999999995
|
||||
mulx188 multiply 0.1 99999e-999999997 -> 9.9999E-999999994
|
||||
|
||||
mulx190 multiply 1 9e-999999998 -> 9E-999999998
|
||||
mulx191 multiply 1 99e-999999998 -> 9.9E-999999997
|
||||
mulx192 multiply 1 999e-999999998 -> 9.99E-999999996
|
||||
mulx193 multiply 9e-999999998 1 -> 9E-999999998
|
||||
mulx194 multiply 99e-999999998 1 -> 9.9E-999999997
|
||||
mulx195 multiply 999e-999999998 1 -> 9.99E-999999996
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||||
|
||||
mulx196 multiply 1e-599999999 1e-400000000 -> 1E-999999999
|
||||
mulx197 multiply 1e-600000000 1e-399999999 -> 1E-999999999
|
||||
mulx198 multiply 1.2e-599999999 1.2e-400000000 -> 1.44E-999999999
|
||||
mulx199 multiply 1.2e-600000000 1.2e-399999999 -> 1.44E-999999999
|
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|
||||
mulx201 multiply 1e599999999 1e400000000 -> 1E+999999999
|
||||
mulx202 multiply 1e600000000 1e399999999 -> 1E+999999999
|
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mulx203 multiply 1.2e599999999 1.2e400000000 -> 1.44E+999999999
|
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mulx204 multiply 1.2e600000000 1.2e399999999 -> 1.44E+999999999
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-- long operand triangle
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precision: 33
|
||||
mulx246 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511992830 Inexact Rounded
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precision: 32
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mulx247 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199283 Inexact Rounded
|
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precision: 31
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mulx248 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928 Inexact Rounded
|
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precision: 30
|
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mulx249 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511993 Inexact Rounded
|
||||
precision: 29
|
||||
mulx250 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199 Inexact Rounded
|
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precision: 28
|
||||
mulx251 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165120 Inexact Rounded
|
||||
precision: 27
|
||||
mulx252 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916512 Inexact Rounded
|
||||
precision: 26
|
||||
mulx253 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651 Inexact Rounded
|
||||
precision: 25
|
||||
mulx254 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165 Inexact Rounded
|
||||
precision: 24
|
||||
mulx255 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671917 Inexact Rounded
|
||||
precision: 23
|
||||
mulx256 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967192 Inexact Rounded
|
||||
precision: 22
|
||||
mulx257 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719 Inexact Rounded
|
||||
precision: 21
|
||||
mulx258 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369672 Inexact Rounded
|
||||
precision: 20
|
||||
mulx259 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967 Inexact Rounded
|
||||
precision: 19
|
||||
mulx260 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933697 Inexact Rounded
|
||||
precision: 18
|
||||
mulx261 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193370 Inexact Rounded
|
||||
precision: 17
|
||||
mulx262 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119337 Inexact Rounded
|
||||
precision: 16
|
||||
mulx263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011934 Inexact Rounded
|
||||
precision: 15
|
||||
mulx264 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193 Inexact Rounded
|
||||
precision: 14
|
||||
mulx265 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119 Inexact Rounded
|
||||
precision: 13
|
||||
mulx266 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908012 Inexact Rounded
|
||||
precision: 12
|
||||
mulx267 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801 Inexact Rounded
|
||||
precision: 11
|
||||
mulx268 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080 Inexact Rounded
|
||||
precision: 10
|
||||
mulx269 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908 Inexact Rounded
|
||||
precision: 9
|
||||
mulx270 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.291 Inexact Rounded
|
||||
precision: 8
|
||||
mulx271 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29 Inexact Rounded
|
||||
precision: 7
|
||||
mulx272 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.3 Inexact Rounded
|
||||
precision: 6
|
||||
mulx273 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433 Inexact Rounded
|
||||
precision: 5
|
||||
mulx274 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.4543E+5 Inexact Rounded
|
||||
precision: 4
|
||||
mulx275 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.454E+5 Inexact Rounded
|
||||
precision: 3
|
||||
mulx276 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.45E+5 Inexact Rounded
|
||||
precision: 2
|
||||
mulx277 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.5E+5 Inexact Rounded
|
||||
precision: 1
|
||||
mulx278 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1E+5 Inexact Rounded
|
||||
|
||||
-- test some edge cases with exact rounding
|
||||
maxexponent: 9999
|
||||
minexponent: -9999
|
||||
precision: 9
|
||||
mulx301 multiply 9 9 -> 81
|
||||
mulx302 multiply 9 90 -> 810
|
||||
mulx303 multiply 9 900 -> 8100
|
||||
mulx304 multiply 9 9000 -> 81000
|
||||
mulx305 multiply 9 90000 -> 810000
|
||||
mulx306 multiply 9 900000 -> 8100000
|
||||
mulx307 multiply 9 9000000 -> 81000000
|
||||
mulx308 multiply 9 90000000 -> 810000000
|
||||
mulx309 multiply 9 900000000 -> 8.10000000E+9 Rounded
|
||||
mulx310 multiply 9 9000000000 -> 8.10000000E+10 Rounded
|
||||
mulx311 multiply 9 90000000000 -> 8.10000000E+11 Rounded
|
||||
mulx312 multiply 9 900000000000 -> 8.10000000E+12 Rounded
|
||||
mulx313 multiply 9 9000000000000 -> 8.10000000E+13 Rounded
|
||||
mulx314 multiply 9 90000000000000 -> 8.10000000E+14 Rounded
|
||||
mulx315 multiply 9 900000000000000 -> 8.10000000E+15 Rounded
|
||||
mulx316 multiply 9 9000000000000000 -> 8.10000000E+16 Rounded
|
||||
mulx317 multiply 9 90000000000000000 -> 8.10000000E+17 Rounded
|
||||
mulx318 multiply 9 900000000000000000 -> 8.10000000E+18 Rounded
|
||||
mulx319 multiply 9 9000000000000000000 -> 8.10000000E+19 Rounded
|
||||
mulx320 multiply 9 90000000000000000000 -> 8.10000000E+20 Rounded
|
||||
mulx321 multiply 9 900000000000000000000 -> 8.10000000E+21 Rounded
|
||||
mulx322 multiply 9 9000000000000000000000 -> 8.10000000E+22 Rounded
|
||||
mulx323 multiply 9 90000000000000000000000 -> 8.10000000E+23 Rounded
|
||||
|
||||
-- fastpath breakers
|
||||
precision: 29
|
||||
mulx330 multiply 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 -> 1.6487212707001281468486507878 Inexact Rounded
|
||||
precision: 55
|
||||
mulx331 multiply 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded
|
||||
|
||||
|
||||
-- tryzeros cases
|
||||
precision: 7
|
||||
rounding: half_up
|
||||
maxExponent: 92
|
||||
minexponent: -92
|
||||
mulx504 multiply 0E-60 1000E-60 -> 0E-98 Clamped
|
||||
mulx505 multiply 100E+60 0E+60 -> 0E+92 Clamped
|
||||
|
||||
-- mixed with zeros
|
||||
maxexponent: 999999999
|
||||
minexponent: -999999999
|
||||
precision: 9
|
||||
mulx541 multiply 0 -1 -> -0
|
||||
mulx542 multiply -0 -1 -> 0
|
||||
mulx543 multiply 0 1 -> 0
|
||||
mulx544 multiply -0 1 -> -0
|
||||
mulx545 multiply -1 0 -> -0
|
||||
mulx546 multiply -1 -0 -> 0
|
||||
mulx547 multiply 1 0 -> 0
|
||||
mulx548 multiply 1 -0 -> -0
|
||||
|
||||
mulx551 multiply 0.0 -1 -> -0.0
|
||||
mulx552 multiply -0.0 -1 -> 0.0
|
||||
mulx553 multiply 0.0 1 -> 0.0
|
||||
mulx554 multiply -0.0 1 -> -0.0
|
||||
mulx555 multiply -1.0 0 -> -0.0
|
||||
mulx556 multiply -1.0 -0 -> 0.0
|
||||
mulx557 multiply 1.0 0 -> 0.0
|
||||
mulx558 multiply 1.0 -0 -> -0.0
|
||||
|
||||
mulx561 multiply 0 -1.0 -> -0.0
|
||||
mulx562 multiply -0 -1.0 -> 0.0
|
||||
mulx563 multiply 0 1.0 -> 0.0
|
||||
mulx564 multiply -0 1.0 -> -0.0
|
||||
mulx565 multiply -1 0.0 -> -0.0
|
||||
mulx566 multiply -1 -0.0 -> 0.0
|
||||
mulx567 multiply 1 0.0 -> 0.0
|
||||
mulx568 multiply 1 -0.0 -> -0.0
|
||||
|
||||
mulx571 multiply 0.0 -1.0 -> -0.00
|
||||
mulx572 multiply -0.0 -1.0 -> 0.00
|
||||
mulx573 multiply 0.0 1.0 -> 0.00
|
||||
mulx574 multiply -0.0 1.0 -> -0.00
|
||||
mulx575 multiply -1.0 0.0 -> -0.00
|
||||
mulx576 multiply -1.0 -0.0 -> 0.00
|
||||
mulx577 multiply 1.0 0.0 -> 0.00
|
||||
mulx578 multiply 1.0 -0.0 -> -0.00
|
||||
|
||||
|
||||
-- Specials
|
||||
mulx580 multiply Inf -Inf -> -Infinity
|
||||
mulx581 multiply Inf -1000 -> -Infinity
|
||||
mulx582 multiply Inf -1 -> -Infinity
|
||||
mulx583 multiply Inf -0 -> NaN Invalid_operation
|
||||
mulx584 multiply Inf 0 -> NaN Invalid_operation
|
||||
mulx585 multiply Inf 1 -> Infinity
|
||||
mulx586 multiply Inf 1000 -> Infinity
|
||||
mulx587 multiply Inf Inf -> Infinity
|
||||
mulx588 multiply -1000 Inf -> -Infinity
|
||||
mulx589 multiply -Inf Inf -> -Infinity
|
||||
mulx590 multiply -1 Inf -> -Infinity
|
||||
mulx591 multiply -0 Inf -> NaN Invalid_operation
|
||||
mulx592 multiply 0 Inf -> NaN Invalid_operation
|
||||
mulx593 multiply 1 Inf -> Infinity
|
||||
mulx594 multiply 1000 Inf -> Infinity
|
||||
mulx595 multiply Inf Inf -> Infinity
|
||||
|
||||
mulx600 multiply -Inf -Inf -> Infinity
|
||||
mulx601 multiply -Inf -1000 -> Infinity
|
||||
mulx602 multiply -Inf -1 -> Infinity
|
||||
mulx603 multiply -Inf -0 -> NaN Invalid_operation
|
||||
mulx604 multiply -Inf 0 -> NaN Invalid_operation
|
||||
mulx605 multiply -Inf 1 -> -Infinity
|
||||
mulx606 multiply -Inf 1000 -> -Infinity
|
||||
mulx607 multiply -Inf Inf -> -Infinity
|
||||
mulx608 multiply -1000 Inf -> -Infinity
|
||||
mulx609 multiply -Inf -Inf -> Infinity
|
||||
mulx610 multiply -1 -Inf -> Infinity
|
||||
mulx611 multiply -0 -Inf -> NaN Invalid_operation
|
||||
mulx612 multiply 0 -Inf -> NaN Invalid_operation
|
||||
mulx613 multiply 1 -Inf -> -Infinity
|
||||
mulx614 multiply 1000 -Inf -> -Infinity
|
||||
mulx615 multiply Inf -Inf -> -Infinity
|
||||
|
||||
mulx621 multiply NaN -Inf -> NaN
|
||||
mulx622 multiply NaN -1000 -> NaN
|
||||
mulx623 multiply NaN -1 -> NaN
|
||||
mulx624 multiply NaN -0 -> NaN
|
||||
mulx625 multiply NaN 0 -> NaN
|
||||
mulx626 multiply NaN 1 -> NaN
|
||||
mulx627 multiply NaN 1000 -> NaN
|
||||
mulx628 multiply NaN Inf -> NaN
|
||||
mulx629 multiply NaN NaN -> NaN
|
||||
mulx630 multiply -Inf NaN -> NaN
|
||||
mulx631 multiply -1000 NaN -> NaN
|
||||
mulx632 multiply -1 NaN -> NaN
|
||||
mulx633 multiply -0 NaN -> NaN
|
||||
mulx634 multiply 0 NaN -> NaN
|
||||
mulx635 multiply 1 NaN -> NaN
|
||||
mulx636 multiply 1000 NaN -> NaN
|
||||
mulx637 multiply Inf NaN -> NaN
|
||||
|
||||
mulx641 multiply sNaN -Inf -> NaN Invalid_operation
|
||||
mulx642 multiply sNaN -1000 -> NaN Invalid_operation
|
||||
mulx643 multiply sNaN -1 -> NaN Invalid_operation
|
||||
mulx644 multiply sNaN -0 -> NaN Invalid_operation
|
||||
mulx645 multiply sNaN 0 -> NaN Invalid_operation
|
||||
mulx646 multiply sNaN 1 -> NaN Invalid_operation
|
||||
mulx647 multiply sNaN 1000 -> NaN Invalid_operation
|
||||
mulx648 multiply sNaN NaN -> NaN Invalid_operation
|
||||
mulx649 multiply sNaN sNaN -> NaN Invalid_operation
|
||||
mulx650 multiply NaN sNaN -> NaN Invalid_operation
|
||||
mulx651 multiply -Inf sNaN -> NaN Invalid_operation
|
||||
mulx652 multiply -1000 sNaN -> NaN Invalid_operation
|
||||
mulx653 multiply -1 sNaN -> NaN Invalid_operation
|
||||
mulx654 multiply -0 sNaN -> NaN Invalid_operation
|
||||
mulx655 multiply 0 sNaN -> NaN Invalid_operation
|
||||
mulx656 multiply 1 sNaN -> NaN Invalid_operation
|
||||
mulx657 multiply 1000 sNaN -> NaN Invalid_operation
|
||||
mulx658 multiply Inf sNaN -> NaN Invalid_operation
|
||||
mulx659 multiply NaN sNaN -> NaN Invalid_operation
|
||||
|
||||
-- propagating NaNs
|
||||
mulx661 multiply NaN9 -Inf -> NaN9
|
||||
mulx662 multiply NaN8 999 -> NaN8
|
||||
mulx663 multiply NaN71 Inf -> NaN71
|
||||
mulx664 multiply NaN6 NaN5 -> NaN6
|
||||
mulx665 multiply -Inf NaN4 -> NaN4
|
||||
mulx666 multiply -999 NaN33 -> NaN33
|
||||
mulx667 multiply Inf NaN2 -> NaN2
|
||||
|
||||
mulx671 multiply sNaN99 -Inf -> NaN99 Invalid_operation
|
||||
mulx672 multiply sNaN98 -11 -> NaN98 Invalid_operation
|
||||
mulx673 multiply sNaN97 NaN -> NaN97 Invalid_operation
|
||||
mulx674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation
|
||||
mulx675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation
|
||||
mulx676 multiply -Inf sNaN92 -> NaN92 Invalid_operation
|
||||
mulx677 multiply 088 sNaN91 -> NaN91 Invalid_operation
|
||||
mulx678 multiply Inf sNaN90 -> NaN90 Invalid_operation
|
||||
mulx679 multiply NaN sNaN89 -> NaN89 Invalid_operation
|
||||
|
||||
mulx681 multiply -NaN9 -Inf -> -NaN9
|
||||
mulx682 multiply -NaN8 999 -> -NaN8
|
||||
mulx683 multiply -NaN71 Inf -> -NaN71
|
||||
mulx684 multiply -NaN6 -NaN5 -> -NaN6
|
||||
mulx685 multiply -Inf -NaN4 -> -NaN4
|
||||
mulx686 multiply -999 -NaN33 -> -NaN33
|
||||
mulx687 multiply Inf -NaN2 -> -NaN2
|
||||
|
||||
mulx691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation
|
||||
mulx692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation
|
||||
mulx693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation
|
||||
mulx694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
|
||||
mulx695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation
|
||||
mulx696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation
|
||||
mulx697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation
|
||||
mulx698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation
|
||||
mulx699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation
|
||||
|
||||
mulx701 multiply -NaN -Inf -> -NaN
|
||||
mulx702 multiply -NaN 999 -> -NaN
|
||||
mulx703 multiply -NaN Inf -> -NaN
|
||||
mulx704 multiply -NaN -NaN -> -NaN
|
||||
mulx705 multiply -Inf -NaN0 -> -NaN
|
||||
mulx706 multiply -999 -NaN -> -NaN
|
||||
mulx707 multiply Inf -NaN -> -NaN
|
||||
|
||||
mulx711 multiply -sNaN -Inf -> -NaN Invalid_operation
|
||||
mulx712 multiply -sNaN -11 -> -NaN Invalid_operation
|
||||
mulx713 multiply -sNaN00 NaN -> -NaN Invalid_operation
|
||||
mulx714 multiply -sNaN -sNaN -> -NaN Invalid_operation
|
||||
mulx715 multiply -NaN -sNaN -> -NaN Invalid_operation
|
||||
mulx716 multiply -Inf -sNaN -> -NaN Invalid_operation
|
||||
mulx717 multiply 088 -sNaN -> -NaN Invalid_operation
|
||||
mulx718 multiply Inf -sNaN -> -NaN Invalid_operation
|
||||
mulx719 multiply -NaN -sNaN -> -NaN Invalid_operation
|
||||
|
||||
-- overflow and underflow tests .. note subnormal results
|
||||
maxexponent: 999999999
|
||||
minexponent: -999999999
|
||||
mulx730 multiply +1.23456789012345E-0 9E+999999999 -> Infinity Inexact Overflow Rounded
|
||||
mulx731 multiply 9E+999999999 +1.23456789012345E-0 -> Infinity Inexact Overflow Rounded
|
||||
mulx732 multiply +0.100 9E-999999999 -> 9.00E-1000000000 Subnormal
|
||||
mulx733 multiply 9E-999999999 +0.100 -> 9.00E-1000000000 Subnormal
|
||||
mulx735 multiply -1.23456789012345E-0 9E+999999999 -> -Infinity Inexact Overflow Rounded
|
||||
mulx736 multiply 9E+999999999 -1.23456789012345E-0 -> -Infinity Inexact Overflow Rounded
|
||||
mulx737 multiply -0.100 9E-999999999 -> -9.00E-1000000000 Subnormal
|
||||
mulx738 multiply 9E-999999999 -0.100 -> -9.00E-1000000000 Subnormal
|
||||
|
||||
mulx739 multiply 1e-599999999 1e-400000001 -> 1E-1000000000 Subnormal
|
||||
mulx740 multiply 1e-599999999 1e-400000000 -> 1E-999999999
|
||||
mulx741 multiply 1e-600000000 1e-400000000 -> 1E-1000000000 Subnormal
|
||||
mulx742 multiply 9e-999999998 0.01 -> 9E-1000000000 Subnormal
|
||||
mulx743 multiply 9e-999999998 0.1 -> 9E-999999999
|
||||
mulx744 multiply 0.01 9e-999999998 -> 9E-1000000000 Subnormal
|
||||
mulx745 multiply 1e599999999 1e400000001 -> Infinity Overflow Inexact Rounded
|
||||
mulx746 multiply 1e599999999 1e400000000 -> 1E+999999999
|
||||
mulx747 multiply 1e600000000 1e400000000 -> Infinity Overflow Inexact Rounded
|
||||
mulx748 multiply 9e999999998 100 -> Infinity Overflow Inexact Rounded
|
||||
mulx749 multiply 9e999999998 10 -> 9.0E+999999999
|
||||
mulx750 multiply 100 9e999999998 -> Infinity Overflow Inexact Rounded
|
||||
-- signs
|
||||
mulx751 multiply 1e+777777777 1e+411111111 -> Infinity Overflow Inexact Rounded
|
||||
mulx752 multiply 1e+777777777 -1e+411111111 -> -Infinity Overflow Inexact Rounded
|
||||
mulx753 multiply -1e+777777777 1e+411111111 -> -Infinity Overflow Inexact Rounded
|
||||
mulx754 multiply -1e+777777777 -1e+411111111 -> Infinity Overflow Inexact Rounded
|
||||
mulx755 multiply 1e-777777777 1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx756 multiply 1e-777777777 -1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx757 multiply -1e-777777777 1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx758 multiply -1e-777777777 -1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
||||
|
||||
-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
|
||||
precision: 9
|
||||
mulx760 multiply 1e-600000000 1e-400000001 -> 1E-1000000001 Subnormal
|
||||
mulx761 multiply 1e-600000000 1e-400000002 -> 1E-1000000002 Subnormal
|
||||
mulx762 multiply 1e-600000000 1e-400000003 -> 1E-1000000003 Subnormal
|
||||
mulx763 multiply 1e-600000000 1e-400000004 -> 1E-1000000004 Subnormal
|
||||
mulx764 multiply 1e-600000000 1e-400000005 -> 1E-1000000005 Subnormal
|
||||
mulx765 multiply 1e-600000000 1e-400000006 -> 1E-1000000006 Subnormal
|
||||
mulx766 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
|
||||
mulx767 multiply 1e-600000000 1e-400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx768 multiply 1e-600000000 1e-400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx769 multiply 1e-600000000 1e-400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
|
||||
-- [no equivalent of 'subnormal' for overflow]
|
||||
mulx770 multiply 1e+600000000 1e+400000001 -> Infinity Overflow Inexact Rounded
|
||||
mulx771 multiply 1e+600000000 1e+400000002 -> Infinity Overflow Inexact Rounded
|
||||
mulx772 multiply 1e+600000000 1e+400000003 -> Infinity Overflow Inexact Rounded
|
||||
mulx773 multiply 1e+600000000 1e+400000004 -> Infinity Overflow Inexact Rounded
|
||||
mulx774 multiply 1e+600000000 1e+400000005 -> Infinity Overflow Inexact Rounded
|
||||
mulx775 multiply 1e+600000000 1e+400000006 -> Infinity Overflow Inexact Rounded
|
||||
mulx776 multiply 1e+600000000 1e+400000007 -> Infinity Overflow Inexact Rounded
|
||||
mulx777 multiply 1e+600000000 1e+400000008 -> Infinity Overflow Inexact Rounded
|
||||
mulx778 multiply 1e+600000000 1e+400000009 -> Infinity Overflow Inexact Rounded
|
||||
mulx779 multiply 1e+600000000 1e+400000010 -> Infinity Overflow Inexact Rounded
|
||||
|
||||
-- 'subnormal' test edge condition at higher precisions
|
||||
precision: 99
|
||||
mulx780 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
|
||||
mulx781 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal
|
||||
mulx782 multiply 1e-600000000 1e-400000097 -> 1E-1000000097 Subnormal
|
||||
mulx783 multiply 1e-600000000 1e-400000098 -> 0E-1000000097 Underflow Subnormal Inexact Rounded Clamped
|
||||
precision: 999
|
||||
mulx784 multiply 1e-600000000 1e-400000997 -> 1E-1000000997 Subnormal
|
||||
mulx785 multiply 1e-600000000 1e-400000998 -> 0E-1000000997 Underflow Subnormal Inexact Rounded Clamped
|
||||
|
||||
-- following testcases [through mulx800] not yet run against code
|
||||
precision: 9999
|
||||
mulx786 multiply 1e-600000000 1e-400009997 -> 1E-1000009997 Subnormal
|
||||
mulx787 multiply 1e-600000000 1e-400009998 -> 0E-1000009997 Underflow Subnormal Inexact Rounded Clamped
|
||||
precision: 99999
|
||||
mulx788 multiply 1e-600000000 1e-400099997 -> 1E-1000099997 Subnormal
|
||||
mulx789 multiply 1e-600000000 1e-400099998 -> 0E-1000099997 Underflow Subnormal Inexact Rounded Clamped
|
||||
precision: 999999
|
||||
mulx790 multiply 1e-600000000 1e-400999997 -> 1E-1000999997 Subnormal
|
||||
mulx791 multiply 1e-600000000 1e-400999998 -> 0E-1000999997 Underflow Subnormal Inexact Rounded Clamped
|
||||
precision: 9999999
|
||||
mulx792 multiply 1e-600000000 1e-409999997 -> 1E-1009999997 Subnormal
|
||||
mulx793 multiply 1e-600000000 1e-409999998 -> 0E-1009999997 Underflow Subnormal Inexact Rounded Clamped
|
||||
precision: 99999999
|
||||
mulx794 multiply 1e-600000000 1e-499999997 -> 1E-1099999997 Subnormal
|
||||
mulx795 multiply 1e-600000000 1e-499999998 -> 0E-1099999997 Underflow Subnormal Inexact Rounded Clamped
|
||||
precision: 999999999
|
||||
mulx796 multiply 1e-999999999 1e-999999997 -> 1E-1999999996 Subnormal
|
||||
mulx797 multiply 1e-999999999 1e-999999998 -> 1E-1999999997 Subnormal
|
||||
mulx798 multiply 1e-999999999 1e-999999999 -> 0E-1999999997 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx799 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
|
||||
mulx800 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal
|
||||
|
||||
-- test subnormals rounding
|
||||
precision: 5
|
||||
maxExponent: 999
|
||||
minexponent: -999
|
||||
rounding: half_even
|
||||
|
||||
mulx801 multiply 1.0000E-999 1 -> 1.0000E-999
|
||||
mulx802 multiply 1.000E-999 1e-1 -> 1.000E-1000 Subnormal
|
||||
mulx803 multiply 1.00E-999 1e-2 -> 1.00E-1001 Subnormal
|
||||
mulx804 multiply 1.0E-999 1e-3 -> 1.0E-1002 Subnormal
|
||||
mulx805 multiply 1.0E-999 1e-4 -> 1E-1003 Subnormal Rounded
|
||||
mulx806 multiply 1.3E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx807 multiply 1.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx808 multiply 1.7E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx809 multiply 2.3E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx810 multiply 2.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx811 multiply 2.7E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx812 multiply 1.49E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx813 multiply 1.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx814 multiply 1.51E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx815 multiply 2.49E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx816 multiply 2.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx817 multiply 2.51E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded
|
||||
|
||||
mulx818 multiply 1E-999 1e-4 -> 1E-1003 Subnormal
|
||||
mulx819 multiply 3E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx820 multiply 5E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx821 multiply 7E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx822 multiply 9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx823 multiply 9.9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
||||
|
||||
mulx824 multiply 1E-999 -1e-4 -> -1E-1003 Subnormal
|
||||
mulx825 multiply 3E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx826 multiply -5E-999 1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx827 multiply 7E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx828 multiply -9E-999 1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx829 multiply 9.9E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
||||
mulx830 multiply 3.0E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
||||
|
||||
mulx831 multiply 1.0E-501 1e-501 -> 1.0E-1002 Subnormal
|
||||
mulx832 multiply 2.0E-501 2e-501 -> 4.0E-1002 Subnormal
|
||||
mulx833 multiply 4.0E-501 4e-501 -> 1.60E-1001 Subnormal
|
||||
mulx834 multiply 10.0E-501 10e-501 -> 1.000E-1000 Subnormal
|
||||
mulx835 multiply 30.0E-501 30e-501 -> 9.000E-1000 Subnormal
|
||||
mulx836 multiply 40.0E-501 40e-501 -> 1.6000E-999
|
||||
|
||||
-- squares
|
||||
mulx840 multiply 1E-502 1e-502 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx841 multiply 1E-501 1e-501 -> 1E-1002 Subnormal
|
||||
mulx842 multiply 2E-501 2e-501 -> 4E-1002 Subnormal
|
||||
mulx843 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal
|
||||
mulx844 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal
|
||||
mulx845 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal
|
||||
mulx846 multiply 40E-501 40e-501 -> 1.600E-999
|
||||
|
||||
-- cubes
|
||||
mulx850 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
||||
mulx851 multiply 1E-668 1e-334 -> 1E-1002 Subnormal
|
||||
mulx852 multiply 4E-668 2e-334 -> 8E-1002 Subnormal
|
||||
mulx853 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal
|
||||
mulx854 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal
|
||||
mulx855 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal
|
||||
mulx856 multiply 10E-668 100e-334 -> 1.000E-999
|
||||
|
||||
-- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent
|
||||
precision: 19
|
||||
mulx860 multiply 6636851557994578716E-520 6636851557994578716E-520 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded
|
||||
|
||||
-- Long operand overflow may be a different path
|
||||
precision: 3
|
||||
maxExponent: 999999999
|
||||
minexponent: -999999999
|
||||
mulx870 multiply 1 9.999E+999999999 -> Infinity Inexact Overflow Rounded
|
||||
mulx871 multiply 1 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
|
||||
mulx872 multiply 9.999E+999999999 1 -> Infinity Inexact Overflow Rounded
|
||||
mulx873 multiply -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded
|
||||
|
||||
-- check for double-rounded subnormals
|
||||
precision: 5
|
||||
maxexponent: 79
|
||||
minexponent: -79
|
||||
mulx881 multiply 1.2347E-40 1.2347E-40 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
||||
mulx882 multiply 1.234E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
||||
mulx883 multiply 1.23E-40 1.23E-40 -> 1.513E-80 Inexact Rounded Subnormal Underflow
|
||||
mulx884 multiply 1.2E-40 1.2E-40 -> 1.44E-80 Subnormal
|
||||
mulx885 multiply 1.2E-40 1.2E-41 -> 1.44E-81 Subnormal
|
||||
mulx886 multiply 1.2E-40 1.2E-42 -> 1.4E-82 Subnormal Inexact Rounded Underflow
|
||||
mulx887 multiply 1.2E-40 1.3E-42 -> 1.6E-82 Subnormal Inexact Rounded Underflow
|
||||
mulx888 multiply 1.3E-40 1.3E-42 -> 1.7E-82 Subnormal Inexact Rounded Underflow
|
||||
mulx889 multiply 1.3E-40 1.3E-43 -> 2E-83 Subnormal Inexact Rounded Underflow
|
||||
mulx890 multiply 1.3E-41 1.3E-43 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow
|
||||
|
||||
mulx891 multiply 1.2345E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded
|
||||
mulx892 multiply 1.23456E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded
|
||||
mulx893 multiply 1.2345E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
||||
mulx894 multiply 1.23456E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
||||
mulx895 multiply 1.2345E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow
|
||||
mulx896 multiply 1.23456E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow
|
||||
|
||||
-- Now explore the case where we get a normal result with Underflow
|
||||
precision: 16
|
||||
rounding: half_up
|
||||
maxExponent: 384
|
||||
minExponent: -383
|
||||
|
||||
mulx900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded
|
||||
mulx901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
|
||||
mulx902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
|
||||
mulx903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
|
||||
mulx904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
|
||||
mulx905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
|
||||
-- prove operands are exact
|
||||
mulx906 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383
|
||||
mulx907 multiply 1 0.09999999999999999 -> 0.09999999999999999
|
||||
-- the next rounds to Nmin
|
||||
mulx908 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
||||
mulx909 multiply 9.999999999999999E-383 0.099999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
||||
mulx910 multiply 9.999999999999999E-383 0.0999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
||||
mulx911 multiply 9.999999999999999E-383 0.09999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
||||
|
||||
|
||||
-- Examples from SQL proposal (Krishna Kulkarni)
|
||||
precision: 34
|
||||
rounding: half_up
|
||||
maxExponent: 6144
|
||||
minExponent: -6143
|
||||
mulx1001 multiply 130E-2 120E-2 -> 1.5600
|
||||
mulx1002 multiply 130E-2 12E-1 -> 1.560
|
||||
mulx1003 multiply 130E-2 1E0 -> 1.30
|
||||
mulx1004 multiply 1E2 1E4 -> 1E+6
|
||||
|
||||
-- payload decapitate
|
||||
precision: 5
|
||||
mulx1010 multiply 11 -sNaN1234567890 -> -NaN67890 Invalid_operation
|
||||
|
||||
-- Null tests
|
||||
mulx990 multiply 10 # -> NaN Invalid_operation
|
||||
mulx991 multiply # 10 -> NaN Invalid_operation
|
||||
|
||||
Loading…
Add table
Add a link
Reference in a new issue