| ------------------------------------------------------------------------ |
| -- 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 |
| |
