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cpython/Lib/test/decimaltestdata/multiply.decTest

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Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
------------------------------------------------------------------------
-- multiply.decTest -- decimal multiplication --
Issue #3449: Update decimal module to use most recent specification (v. 1.68) and tests (v. 2.58) from IBM.
2008-07-27 03:39:07 -03:00
-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Move Decimal from the sandbox into production.
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------------------------------------------------------------------------
-- 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 --
------------------------------------------------------------------------
Issue #3449: Update decimal module to use most recent specification (v. 1.68) and tests (v. 2.58) from IBM.
2008-07-27 03:39:07 -03:00
version: 2.58
Move Decimal from the sandbox into production.
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extended: 1
precision: 9
rounding: half_up
maxExponent: 384
minexponent: -383
-- sanity checks (as base, above)
mulx000 multiply 2 2 -> 4
mulx001 multiply 2 3 -> 6
mulx002 multiply 5 1 -> 5
mulx003 multiply 5 2 -> 10
mulx004 multiply 1.20 2 -> 2.40
mulx005 multiply 1.20 0 -> 0.00
mulx006 multiply 1.20 -2 -> -2.40
mulx007 multiply -1.20 2 -> -2.40
mulx008 multiply -1.20 0 -> -0.00
mulx009 multiply -1.20 -2 -> 2.40
mulx010 multiply 5.09 7.1 -> 36.139
mulx011 multiply 2.5 4 -> 10.0
mulx012 multiply 2.50 4 -> 10.00
mulx013 multiply 1.23456789 1.00000000 -> 1.23456789 Rounded
mulx014 multiply 9.999999999 9.999999999 -> 100.000000 Inexact Rounded
mulx015 multiply 2.50 4 -> 10.00
precision: 6
mulx016 multiply 2.50 4 -> 10.00
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx017 multiply 9.999999999 9.999999999 -> 100.000 Inexact Rounded
mulx018 multiply 9.999999999 -9.999999999 -> -100.000 Inexact Rounded
mulx019 multiply -9.999999999 9.999999999 -> -100.000 Inexact Rounded
mulx020 multiply -9.999999999 -9.999999999 -> 100.000 Inexact Rounded
Move Decimal from the sandbox into production.
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-- 1999.12.21: next one is a edge case if intermediate longs are used
precision: 15
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx059 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded
Move Decimal from the sandbox into production.
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precision: 30
mulx160 multiply 999999999999 9765625 -> 9765624999990234375
precision: 9
-----
-- zeros, etc.
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx021 multiply 0 0 -> 0
mulx022 multiply 0 -0 -> -0
mulx023 multiply -0 0 -> -0
mulx024 multiply -0 -0 -> 0
mulx025 multiply -0.0 -0.0 -> 0.00
mulx026 multiply -0.0 -0.0 -> 0.00
mulx027 multiply -0.0 -0.0 -> 0.00
mulx028 multiply -0.0 -0.0 -> 0.00
Move Decimal from the sandbox into production.
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mulx030 multiply 5.00 1E-3 -> 0.00500
mulx031 multiply 00.00 0.000 -> 0.00000
mulx032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
mulx033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
mulx034 multiply -5.00 1E-3 -> -0.00500
mulx035 multiply -00.00 0.000 -> -0.00000
mulx036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
mulx037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
mulx038 multiply 5.00 -1E-3 -> -0.00500
mulx039 multiply 00.00 -0.000 -> -0.00000
mulx040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
mulx041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
mulx042 multiply -5.00 -1E-3 -> 0.00500
mulx043 multiply -00.00 -0.000 -> 0.00000
mulx044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
mulx045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
-- examples from decarith
mulx050 multiply 1.20 3 -> 3.60
mulx051 multiply 7 3 -> 21
mulx052 multiply 0.9 0.8 -> 0.72
mulx053 multiply 0.9 -0 -> -0.0
mulx054 multiply 654321 654321 -> 4.28135971E+11 Inexact Rounded
mulx060 multiply 123.45 1e7 -> 1.2345E+9
mulx061 multiply 123.45 1e8 -> 1.2345E+10
mulx062 multiply 123.45 1e+9 -> 1.2345E+11
mulx063 multiply 123.45 1e10 -> 1.2345E+12
mulx064 multiply 123.45 1e11 -> 1.2345E+13
mulx065 multiply 123.45 1e12 -> 1.2345E+14
mulx066 multiply 123.45 1e13 -> 1.2345E+15
-- test some intermediate lengths
precision: 9
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx080 multiply 0.1 123456789 -> 12345678.9
mulx081 multiply 0.1 1234567891 -> 123456789 Inexact Rounded
mulx082 multiply 0.1 12345678912 -> 1.23456789E+9 Inexact Rounded
mulx083 multiply 0.1 12345678912345 -> 1.23456789E+12 Inexact Rounded
mulx084 multiply 0.1 123456789 -> 12345678.9
Move Decimal from the sandbox into production.
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precision: 8
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded
mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 7
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded
mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 9
mulx090 multiply 123456789 0.1 -> 12345678.9
mulx091 multiply 1234567891 0.1 -> 123456789 Inexact Rounded
mulx092 multiply 12345678912 0.1 -> 1.23456789E+9 Inexact Rounded
mulx093 multiply 12345678912345 0.1 -> 1.23456789E+12 Inexact Rounded
mulx094 multiply 123456789 0.1 -> 12345678.9
precision: 8
mulx095 multiply 12345678912 0.1 -> 1.2345679E+9 Inexact Rounded
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
-- test some more edge cases and carries
maxexponent: 9999
minexponent: -9999
precision: 33
mulx101 multiply 9 9 -> 81
mulx102 multiply 9 90 -> 810
mulx103 multiply 9 900 -> 8100
mulx104 multiply 9 9000 -> 81000
mulx105 multiply 9 90000 -> 810000
mulx106 multiply 9 900000 -> 8100000
mulx107 multiply 9 9000000 -> 81000000
mulx108 multiply 9 90000000 -> 810000000
mulx109 multiply 9 900000000 -> 8100000000
mulx110 multiply 9 9000000000 -> 81000000000
mulx111 multiply 9 90000000000 -> 810000000000
mulx112 multiply 9 900000000000 -> 8100000000000
mulx113 multiply 9 9000000000000 -> 81000000000000
mulx114 multiply 9 90000000000000 -> 810000000000000
mulx115 multiply 9 900000000000000 -> 8100000000000000
mulx116 multiply 9 9000000000000000 -> 81000000000000000
mulx117 multiply 9 90000000000000000 -> 810000000000000000
mulx118 multiply 9 900000000000000000 -> 8100000000000000000
mulx119 multiply 9 9000000000000000000 -> 81000000000000000000
mulx120 multiply 9 90000000000000000000 -> 810000000000000000000
mulx121 multiply 9 900000000000000000000 -> 8100000000000000000000
mulx122 multiply 9 9000000000000000000000 -> 81000000000000000000000
mulx123 multiply 9 90000000000000000000000 -> 810000000000000000000000
-- test some more edge cases without carries
mulx131 multiply 3 3 -> 9
mulx132 multiply 3 30 -> 90
mulx133 multiply 3 300 -> 900
mulx134 multiply 3 3000 -> 9000
mulx135 multiply 3 30000 -> 90000
mulx136 multiply 3 300000 -> 900000
mulx137 multiply 3 3000000 -> 9000000
mulx138 multiply 3 30000000 -> 90000000
mulx139 multiply 3 300000000 -> 900000000
mulx140 multiply 3 3000000000 -> 9000000000
mulx141 multiply 3 30000000000 -> 90000000000
mulx142 multiply 3 300000000000 -> 900000000000
mulx143 multiply 3 3000000000000 -> 9000000000000
mulx144 multiply 3 30000000000000 -> 90000000000000
mulx145 multiply 3 300000000000000 -> 900000000000000
mulx146 multiply 3 3000000000000000 -> 9000000000000000
mulx147 multiply 3 30000000000000000 -> 90000000000000000
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
maxexponent: 999999999
minexponent: -999999999
precision: 9
-- test some cases that are close to exponent overflow/underflow
mulx170 multiply 1 9e999999999 -> 9E+999999999
mulx171 multiply 1 9.9e999999999 -> 9.9E+999999999
mulx172 multiply 1 9.99e999999999 -> 9.99E+999999999
mulx173 multiply 9e999999999 1 -> 9E+999999999
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
mulx180 multiply 0.1 9e-999999998 -> 9E-999999999
mulx181 multiply 0.1 99e-999999998 -> 9.9E-999999998
mulx182 multiply 0.1 999e-999999998 -> 9.99E-999999997
mulx183 multiply 0.1 9e-999999998 -> 9E-999999999
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
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
mulx201 multiply 1e599999999 1e400000000 -> 1E+999999999
mulx202 multiply 1e600000000 1e399999999 -> 1E+999999999
mulx203 multiply 1.2e599999999 1.2e400000000 -> 1.44E+999999999
mulx204 multiply 1.2e600000000 1.2e399999999 -> 1.44E+999999999
-- long operand triangle
precision: 33
mulx246 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511992830 Inexact Rounded
precision: 32
mulx247 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199283 Inexact Rounded
precision: 31
mulx248 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928 Inexact Rounded
precision: 30
mulx249 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511993 Inexact Rounded
precision: 29
mulx250 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199 Inexact Rounded
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
-- 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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- '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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- [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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx783 multiply 1e-600000000 1e-400000098 -> 0E-1000000097 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 999
mulx784 multiply 1e-600000000 1e-400000997 -> 1E-1000000997 Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx785 multiply 1e-600000000 1e-400000998 -> 0E-1000000997 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- following testcases [through mulx800] not yet run against code
precision: 9999
mulx786 multiply 1e-600000000 1e-400009997 -> 1E-1000009997 Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx787 multiply 1e-600000000 1e-400009998 -> 0E-1000009997 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 99999
mulx788 multiply 1e-600000000 1e-400099997 -> 1E-1000099997 Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx789 multiply 1e-600000000 1e-400099998 -> 0E-1000099997 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 999999
mulx790 multiply 1e-600000000 1e-400999997 -> 1E-1000999997 Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx791 multiply 1e-600000000 1e-400999998 -> 0E-1000999997 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 9999999
mulx792 multiply 1e-600000000 1e-409999997 -> 1E-1009999997 Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx793 multiply 1e-600000000 1e-409999998 -> 0E-1009999997 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 99999999
mulx794 multiply 1e-600000000 1e-499999997 -> 1E-1099999997 Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx795 multiply 1e-600000000 1e-499999998 -> 0E-1099999997 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 999999999
mulx796 multiply 1e-999999999 1e-999999997 -> 1E-1999999996 Subnormal
mulx797 multiply 1e-999999999 1e-999999998 -> 1E-1999999997 Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx798 multiply 1e-999999999 1e-999999999 -> 0E-1999999997 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx830 multiply 3.0E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx840 multiply 1E-502 1e-502 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx850 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
-- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
-- 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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- Null tests
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
mulx990 multiply 10 # -> NaN Invalid_operation
mulx991 multiply # 10 -> NaN Invalid_operation
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00