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cpython/Lib/test/decimaltestdata/multiply.decTest
Ville Skyttä 49b2734bf1 Spelling fixes (#2902)
2017-08-03 09:00:59 +03:00

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------------------------------------------------------------------------
-- multiply.decTest -- decimal multiplication --
-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
version: 2.59
extended: 1
precision: 9
rounding: half_up
maxExponent: 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
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
-- 1999.12.21: next one is an edge case if intermediate longs are used
precision: 15
mulx059 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded
precision: 30
mulx160 multiply 999999999999 9765625 -> 9765624999990234375
precision: 9
-----
-- zeros, etc.
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
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
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
precision: 8
mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded
mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded
precision: 7
mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded
mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded
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
-- 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 arithmetic)
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
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