diff options
Diffstat (limited to 'lib/python2.7/test/decimaltestdata/multiply.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/multiply.decTest | 731 |
1 files changed, 0 insertions, 731 deletions
diff --git a/lib/python2.7/test/decimaltestdata/multiply.decTest b/lib/python2.7/test/decimaltestdata/multiply.decTest deleted file mode 100644 index 6a23d5a..0000000 --- a/lib/python2.7/test/decimaltestdata/multiply.decTest +++ /dev/null @@ -1,731 +0,0 @@ ------------------------------------------------------------------------- --- 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 a 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 - |