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✏️ multiply.decTest
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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 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
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