1 ------------------------------------------------------------------------ 2 -- multiply.decTest -- decimal multiplication -- 3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4 ------------------------------------------------------------------------ 5 -- Please see the document "General Decimal Arithmetic Testcases" -- 6 -- at http://www2.hursley.ibm.com/decimal for the description of -- 7 -- these testcases. -- 8 -- -- 9 -- These testcases are experimental ('beta' versions), and they -- 10 -- may contain errors. They are offered on an as-is basis. In -- 11 -- particular, achieving the same results as the tests here is not -- 12 -- a guarantee that an implementation complies with any Standard -- 13 -- or specification. The tests are not exhaustive. -- 14 -- -- 15 -- Please send comments, suggestions, and corrections to the author: -- 16 -- Mike Cowlishaw, IBM Fellow -- 17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18 -- mfc (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 extended: 1 23 precision: 9 24 rounding: half_up 25 maxExponent: 384 26 minexponent: -383 27 28 -- sanity checks (as base, above) 29 mulx000 multiply 2 2 -> 4 30 mulx001 multiply 2 3 -> 6 31 mulx002 multiply 5 1 -> 5 32 mulx003 multiply 5 2 -> 10 33 mulx004 multiply 1.20 2 -> 2.40 34 mulx005 multiply 1.20 0 -> 0.00 35 mulx006 multiply 1.20 -2 -> -2.40 36 mulx007 multiply -1.20 2 -> -2.40 37 mulx008 multiply -1.20 0 -> -0.00 38 mulx009 multiply -1.20 -2 -> 2.40 39 mulx010 multiply 5.09 7.1 -> 36.139 40 mulx011 multiply 2.5 4 -> 10.0 41 mulx012 multiply 2.50 4 -> 10.00 42 mulx013 multiply 1.23456789 1.00000000 -> 1.23456789 Rounded 43 mulx014 multiply 9.999999999 9.999999999 -> 100.000000 Inexact Rounded 44 mulx015 multiply 2.50 4 -> 10.00 45 precision: 6 46 mulx016 multiply 2.50 4 -> 10.00 47 mulx017 multiply 9.999999999 9.999999999 -> 100.000 Inexact Rounded 48 mulx018 multiply 9.999999999 -9.999999999 -> -100.000 Inexact Rounded 49 mulx019 multiply -9.999999999 9.999999999 -> -100.000 Inexact Rounded 50 mulx020 multiply -9.999999999 -9.999999999 -> 100.000 Inexact Rounded 51 52 -- 1999.12.21: next one is a edge case if intermediate longs are used 53 precision: 15 54 mulx059 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded 55 precision: 30 56 mulx160 multiply 999999999999 9765625 -> 9765624999990234375 57 precision: 9 58 ----- 59 60 -- zeros, etc. 61 mulx021 multiply 0 0 -> 0 62 mulx022 multiply 0 -0 -> -0 63 mulx023 multiply -0 0 -> -0 64 mulx024 multiply -0 -0 -> 0 65 mulx025 multiply -0.0 -0.0 -> 0.00 66 mulx026 multiply -0.0 -0.0 -> 0.00 67 mulx027 multiply -0.0 -0.0 -> 0.00 68 mulx028 multiply -0.0 -0.0 -> 0.00 69 mulx030 multiply 5.00 1E-3 -> 0.00500 70 mulx031 multiply 00.00 0.000 -> 0.00000 71 mulx032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0 72 mulx033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0 73 mulx034 multiply -5.00 1E-3 -> -0.00500 74 mulx035 multiply -00.00 0.000 -> -0.00000 75 mulx036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0 76 mulx037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0 77 mulx038 multiply 5.00 -1E-3 -> -0.00500 78 mulx039 multiply 00.00 -0.000 -> -0.00000 79 mulx040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0 80 mulx041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0 81 mulx042 multiply -5.00 -1E-3 -> 0.00500 82 mulx043 multiply -00.00 -0.000 -> 0.00000 83 mulx044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0 84 mulx045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0 85 86 -- examples from decarith 87 mulx050 multiply 1.20 3 -> 3.60 88 mulx051 multiply 7 3 -> 21 89 mulx052 multiply 0.9 0.8 -> 0.72 90 mulx053 multiply 0.9 -0 -> -0.0 91 mulx054 multiply 654321 654321 -> 4.28135971E+11 Inexact Rounded 92 93 mulx060 multiply 123.45 1e7 -> 1.2345E+9 94 mulx061 multiply 123.45 1e8 -> 1.2345E+10 95 mulx062 multiply 123.45 1e+9 -> 1.2345E+11 96 mulx063 multiply 123.45 1e10 -> 1.2345E+12 97 mulx064 multiply 123.45 1e11 -> 1.2345E+13 98 mulx065 multiply 123.45 1e12 -> 1.2345E+14 99 mulx066 multiply 123.45 1e13 -> 1.2345E+15 100 101 102 -- test some intermediate lengths 103 precision: 9 104 mulx080 multiply 0.1 123456789 -> 12345678.9 105 mulx081 multiply 0.1 1234567891 -> 123456789 Inexact Rounded 106 mulx082 multiply 0.1 12345678912 -> 1.23456789E+9 Inexact Rounded 107 mulx083 multiply 0.1 12345678912345 -> 1.23456789E+12 Inexact Rounded 108 mulx084 multiply 0.1 123456789 -> 12345678.9 109 precision: 8 110 mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded 111 mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded 112 precision: 7 113 mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded 114 mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded 115 116 precision: 9 117 mulx090 multiply 123456789 0.1 -> 12345678.9 118 mulx091 multiply 1234567891 0.1 -> 123456789 Inexact Rounded 119 mulx092 multiply 12345678912 0.1 -> 1.23456789E+9 Inexact Rounded 120 mulx093 multiply 12345678912345 0.1 -> 1.23456789E+12 Inexact Rounded 121 mulx094 multiply 123456789 0.1 -> 12345678.9 122 precision: 8 123 mulx095 multiply 12345678912 0.1 -> 1.2345679E+9 Inexact Rounded 124 mulx096 multiply 12345678912345 0.1 -> 1.2345679E+12 Inexact Rounded 125 precision: 7 126 mulx097 multiply 12345678912 0.1 -> 1.234568E+9 Inexact Rounded 127 mulx098 multiply 12345678912345 0.1 -> 1.234568E+12 Inexact Rounded 128 129 -- test some more edge cases and carries 130 maxexponent: 9999 131 minexponent: -9999 132 precision: 33 133 mulx101 multiply 9 9 -> 81 134 mulx102 multiply 9 90 -> 810 135 mulx103 multiply 9 900 -> 8100 136 mulx104 multiply 9 9000 -> 81000 137 mulx105 multiply 9 90000 -> 810000 138 mulx106 multiply 9 900000 -> 8100000 139 mulx107 multiply 9 9000000 -> 81000000 140 mulx108 multiply 9 90000000 -> 810000000 141 mulx109 multiply 9 900000000 -> 8100000000 142 mulx110 multiply 9 9000000000 -> 81000000000 143 mulx111 multiply 9 90000000000 -> 810000000000 144 mulx112 multiply 9 900000000000 -> 8100000000000 145 mulx113 multiply 9 9000000000000 -> 81000000000000 146 mulx114 multiply 9 90000000000000 -> 810000000000000 147 mulx115 multiply 9 900000000000000 -> 8100000000000000 148 mulx116 multiply 9 9000000000000000 -> 81000000000000000 149 mulx117 multiply 9 90000000000000000 -> 810000000000000000 150 mulx118 multiply 9 900000000000000000 -> 8100000000000000000 151 mulx119 multiply 9 9000000000000000000 -> 81000000000000000000 152 mulx120 multiply 9 90000000000000000000 -> 810000000000000000000 153 mulx121 multiply 9 900000000000000000000 -> 8100000000000000000000 154 mulx122 multiply 9 9000000000000000000000 -> 81000000000000000000000 155 mulx123 multiply 9 90000000000000000000000 -> 810000000000000000000000 156 -- test some more edge cases without carries 157 mulx131 multiply 3 3 -> 9 158 mulx132 multiply 3 30 -> 90 159 mulx133 multiply 3 300 -> 900 160 mulx134 multiply 3 3000 -> 9000 161 mulx135 multiply 3 30000 -> 90000 162 mulx136 multiply 3 300000 -> 900000 163 mulx137 multiply 3 3000000 -> 9000000 164 mulx138 multiply 3 30000000 -> 90000000 165 mulx139 multiply 3 300000000 -> 900000000 166 mulx140 multiply 3 3000000000 -> 9000000000 167 mulx141 multiply 3 30000000000 -> 90000000000 168 mulx142 multiply 3 300000000000 -> 900000000000 169 mulx143 multiply 3 3000000000000 -> 9000000000000 170 mulx144 multiply 3 30000000000000 -> 90000000000000 171 mulx145 multiply 3 300000000000000 -> 900000000000000 172 mulx146 multiply 3 3000000000000000 -> 9000000000000000 173 mulx147 multiply 3 30000000000000000 -> 90000000000000000 174 mulx148 multiply 3 300000000000000000 -> 900000000000000000 175 mulx149 multiply 3 3000000000000000000 -> 9000000000000000000 176 mulx150 multiply 3 30000000000000000000 -> 90000000000000000000 177 mulx151 multiply 3 300000000000000000000 -> 900000000000000000000 178 mulx152 multiply 3 3000000000000000000000 -> 9000000000000000000000 179 mulx153 multiply 3 30000000000000000000000 -> 90000000000000000000000 180 181 maxexponent: 999999999 182 minexponent: -999999999 183 precision: 9 184 -- test some cases that are close to exponent overflow/underflow 185 mulx170 multiply 1 9e999999999 -> 9E+999999999 186 mulx171 multiply 1 9.9e999999999 -> 9.9E+999999999 187 mulx172 multiply 1 9.99e999999999 -> 9.99E+999999999 188 mulx173 multiply 9e999999999 1 -> 9E+999999999 189 mulx174 multiply 9.9e999999999 1 -> 9.9E+999999999 190 mulx176 multiply 9.99e999999999 1 -> 9.99E+999999999 191 mulx177 multiply 1 9.99999999e999999999 -> 9.99999999E+999999999 192 mulx178 multiply 9.99999999e999999999 1 -> 9.99999999E+999999999 193 194 mulx180 multiply 0.1 9e-999999998 -> 9E-999999999 195 mulx181 multiply 0.1 99e-999999998 -> 9.9E-999999998 196 mulx182 multiply 0.1 999e-999999998 -> 9.99E-999999997 197 198 mulx183 multiply 0.1 9e-999999998 -> 9E-999999999 199 mulx184 multiply 0.1 99e-999999998 -> 9.9E-999999998 200 mulx185 multiply 0.1 999e-999999998 -> 9.99E-999999997 201 mulx186 multiply 0.1 999e-999999997 -> 9.99E-999999996 202 mulx187 multiply 0.1 9999e-999999997 -> 9.999E-999999995 203 mulx188 multiply 0.1 99999e-999999997 -> 9.9999E-999999994 204 205 mulx190 multiply 1 9e-999999998 -> 9E-999999998 206 mulx191 multiply 1 99e-999999998 -> 9.9E-999999997 207 mulx192 multiply 1 999e-999999998 -> 9.99E-999999996 208 mulx193 multiply 9e-999999998 1 -> 9E-999999998 209 mulx194 multiply 99e-999999998 1 -> 9.9E-999999997 210 mulx195 multiply 999e-999999998 1 -> 9.99E-999999996 211 212 mulx196 multiply 1e-599999999 1e-400000000 -> 1E-999999999 213 mulx197 multiply 1e-600000000 1e-399999999 -> 1E-999999999 214 mulx198 multiply 1.2e-599999999 1.2e-400000000 -> 1.44E-999999999 215 mulx199 multiply 1.2e-600000000 1.2e-399999999 -> 1.44E-999999999 216 217 mulx201 multiply 1e599999999 1e400000000 -> 1E+999999999 218 mulx202 multiply 1e600000000 1e399999999 -> 1E+999999999 219 mulx203 multiply 1.2e599999999 1.2e400000000 -> 1.44E+999999999 220 mulx204 multiply 1.2e600000000 1.2e399999999 -> 1.44E+999999999 221 222 -- long operand triangle 223 precision: 33 224 mulx246 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511992830 Inexact Rounded 225 precision: 32 226 mulx247 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199283 Inexact Rounded 227 precision: 31 228 mulx248 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928 Inexact Rounded 229 precision: 30 230 mulx249 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511993 Inexact Rounded 231 precision: 29 232 mulx250 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199 Inexact Rounded 233 precision: 28 234 mulx251 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165120 Inexact Rounded 235 precision: 27 236 mulx252 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916512 Inexact Rounded 237 precision: 26 238 mulx253 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651 Inexact Rounded 239 precision: 25 240 mulx254 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165 Inexact Rounded 241 precision: 24 242 mulx255 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671917 Inexact Rounded 243 precision: 23 244 mulx256 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967192 Inexact Rounded 245 precision: 22 246 mulx257 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719 Inexact Rounded 247 precision: 21 248 mulx258 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369672 Inexact Rounded 249 precision: 20 250 mulx259 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967 Inexact Rounded 251 precision: 19 252 mulx260 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933697 Inexact Rounded 253 precision: 18 254 mulx261 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193370 Inexact Rounded 255 precision: 17 256 mulx262 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119337 Inexact Rounded 257 precision: 16 258 mulx263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011934 Inexact Rounded 259 precision: 15 260 mulx264 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193 Inexact Rounded 261 precision: 14 262 mulx265 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119 Inexact Rounded 263 precision: 13 264 mulx266 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908012 Inexact Rounded 265 precision: 12 266 mulx267 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801 Inexact Rounded 267 precision: 11 268 mulx268 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080 Inexact Rounded 269 precision: 10 270 mulx269 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908 Inexact Rounded 271 precision: 9 272 mulx270 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.291 Inexact Rounded 273 precision: 8 274 mulx271 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29 Inexact Rounded 275 precision: 7 276 mulx272 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.3 Inexact Rounded 277 precision: 6 278 mulx273 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433 Inexact Rounded 279 precision: 5 280 mulx274 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.4543E+5 Inexact Rounded 281 precision: 4 282 mulx275 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.454E+5 Inexact Rounded 283 precision: 3 284 mulx276 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.45E+5 Inexact Rounded 285 precision: 2 286 mulx277 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.5E+5 Inexact Rounded 287 precision: 1 288 mulx278 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1E+5 Inexact Rounded 289 290 -- test some edge cases with exact rounding 291 maxexponent: 9999 292 minexponent: -9999 293 precision: 9 294 mulx301 multiply 9 9 -> 81 295 mulx302 multiply 9 90 -> 810 296 mulx303 multiply 9 900 -> 8100 297 mulx304 multiply 9 9000 -> 81000 298 mulx305 multiply 9 90000 -> 810000 299 mulx306 multiply 9 900000 -> 8100000 300 mulx307 multiply 9 9000000 -> 81000000 301 mulx308 multiply 9 90000000 -> 810000000 302 mulx309 multiply 9 900000000 -> 8.10000000E+9 Rounded 303 mulx310 multiply 9 9000000000 -> 8.10000000E+10 Rounded 304 mulx311 multiply 9 90000000000 -> 8.10000000E+11 Rounded 305 mulx312 multiply 9 900000000000 -> 8.10000000E+12 Rounded 306 mulx313 multiply 9 9000000000000 -> 8.10000000E+13 Rounded 307 mulx314 multiply 9 90000000000000 -> 8.10000000E+14 Rounded 308 mulx315 multiply 9 900000000000000 -> 8.10000000E+15 Rounded 309 mulx316 multiply 9 9000000000000000 -> 8.10000000E+16 Rounded 310 mulx317 multiply 9 90000000000000000 -> 8.10000000E+17 Rounded 311 mulx318 multiply 9 900000000000000000 -> 8.10000000E+18 Rounded 312 mulx319 multiply 9 9000000000000000000 -> 8.10000000E+19 Rounded 313 mulx320 multiply 9 90000000000000000000 -> 8.10000000E+20 Rounded 314 mulx321 multiply 9 900000000000000000000 -> 8.10000000E+21 Rounded 315 mulx322 multiply 9 9000000000000000000000 -> 8.10000000E+22 Rounded 316 mulx323 multiply 9 90000000000000000000000 -> 8.10000000E+23 Rounded 317 318 -- fastpath breakers 319 precision: 29 320 mulx330 multiply 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 -> 1.6487212707001281468486507878 Inexact Rounded 321 precision: 55 322 mulx331 multiply 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded 323 324 325 -- tryzeros cases 326 precision: 7 327 rounding: half_up 328 maxExponent: 92 329 minexponent: -92 330 mulx504 multiply 0E-60 1000E-60 -> 0E-98 Clamped 331 mulx505 multiply 100E+60 0E+60 -> 0E+92 Clamped 332 333 -- mixed with zeros 334 maxexponent: 999999999 335 minexponent: -999999999 336 precision: 9 337 mulx541 multiply 0 -1 -> -0 338 mulx542 multiply -0 -1 -> 0 339 mulx543 multiply 0 1 -> 0 340 mulx544 multiply -0 1 -> -0 341 mulx545 multiply -1 0 -> -0 342 mulx546 multiply -1 -0 -> 0 343 mulx547 multiply 1 0 -> 0 344 mulx548 multiply 1 -0 -> -0 345 346 mulx551 multiply 0.0 -1 -> -0.0 347 mulx552 multiply -0.0 -1 -> 0.0 348 mulx553 multiply 0.0 1 -> 0.0 349 mulx554 multiply -0.0 1 -> -0.0 350 mulx555 multiply -1.0 0 -> -0.0 351 mulx556 multiply -1.0 -0 -> 0.0 352 mulx557 multiply 1.0 0 -> 0.0 353 mulx558 multiply 1.0 -0 -> -0.0 354 355 mulx561 multiply 0 -1.0 -> -0.0 356 mulx562 multiply -0 -1.0 -> 0.0 357 mulx563 multiply 0 1.0 -> 0.0 358 mulx564 multiply -0 1.0 -> -0.0 359 mulx565 multiply -1 0.0 -> -0.0 360 mulx566 multiply -1 -0.0 -> 0.0 361 mulx567 multiply 1 0.0 -> 0.0 362 mulx568 multiply 1 -0.0 -> -0.0 363 364 mulx571 multiply 0.0 -1.0 -> -0.00 365 mulx572 multiply -0.0 -1.0 -> 0.00 366 mulx573 multiply 0.0 1.0 -> 0.00 367 mulx574 multiply -0.0 1.0 -> -0.00 368 mulx575 multiply -1.0 0.0 -> -0.00 369 mulx576 multiply -1.0 -0.0 -> 0.00 370 mulx577 multiply 1.0 0.0 -> 0.00 371 mulx578 multiply 1.0 -0.0 -> -0.00 372 373 374 -- Specials 375 mulx580 multiply Inf -Inf -> -Infinity 376 mulx581 multiply Inf -1000 -> -Infinity 377 mulx582 multiply Inf -1 -> -Infinity 378 mulx583 multiply Inf -0 -> NaN Invalid_operation 379 mulx584 multiply Inf 0 -> NaN Invalid_operation 380 mulx585 multiply Inf 1 -> Infinity 381 mulx586 multiply Inf 1000 -> Infinity 382 mulx587 multiply Inf Inf -> Infinity 383 mulx588 multiply -1000 Inf -> -Infinity 384 mulx589 multiply -Inf Inf -> -Infinity 385 mulx590 multiply -1 Inf -> -Infinity 386 mulx591 multiply -0 Inf -> NaN Invalid_operation 387 mulx592 multiply 0 Inf -> NaN Invalid_operation 388 mulx593 multiply 1 Inf -> Infinity 389 mulx594 multiply 1000 Inf -> Infinity 390 mulx595 multiply Inf Inf -> Infinity 391 392 mulx600 multiply -Inf -Inf -> Infinity 393 mulx601 multiply -Inf -1000 -> Infinity 394 mulx602 multiply -Inf -1 -> Infinity 395 mulx603 multiply -Inf -0 -> NaN Invalid_operation 396 mulx604 multiply -Inf 0 -> NaN Invalid_operation 397 mulx605 multiply -Inf 1 -> -Infinity 398 mulx606 multiply -Inf 1000 -> -Infinity 399 mulx607 multiply -Inf Inf -> -Infinity 400 mulx608 multiply -1000 Inf -> -Infinity 401 mulx609 multiply -Inf -Inf -> Infinity 402 mulx610 multiply -1 -Inf -> Infinity 403 mulx611 multiply -0 -Inf -> NaN Invalid_operation 404 mulx612 multiply 0 -Inf -> NaN Invalid_operation 405 mulx613 multiply 1 -Inf -> -Infinity 406 mulx614 multiply 1000 -Inf -> -Infinity 407 mulx615 multiply Inf -Inf -> -Infinity 408 409 mulx621 multiply NaN -Inf -> NaN 410 mulx622 multiply NaN -1000 -> NaN 411 mulx623 multiply NaN -1 -> NaN 412 mulx624 multiply NaN -0 -> NaN 413 mulx625 multiply NaN 0 -> NaN 414 mulx626 multiply NaN 1 -> NaN 415 mulx627 multiply NaN 1000 -> NaN 416 mulx628 multiply NaN Inf -> NaN 417 mulx629 multiply NaN NaN -> NaN 418 mulx630 multiply -Inf NaN -> NaN 419 mulx631 multiply -1000 NaN -> NaN 420 mulx632 multiply -1 NaN -> NaN 421 mulx633 multiply -0 NaN -> NaN 422 mulx634 multiply 0 NaN -> NaN 423 mulx635 multiply 1 NaN -> NaN 424 mulx636 multiply 1000 NaN -> NaN 425 mulx637 multiply Inf NaN -> NaN 426 427 mulx641 multiply sNaN -Inf -> NaN Invalid_operation 428 mulx642 multiply sNaN -1000 -> NaN Invalid_operation 429 mulx643 multiply sNaN -1 -> NaN Invalid_operation 430 mulx644 multiply sNaN -0 -> NaN Invalid_operation 431 mulx645 multiply sNaN 0 -> NaN Invalid_operation 432 mulx646 multiply sNaN 1 -> NaN Invalid_operation 433 mulx647 multiply sNaN 1000 -> NaN Invalid_operation 434 mulx648 multiply sNaN NaN -> NaN Invalid_operation 435 mulx649 multiply sNaN sNaN -> NaN Invalid_operation 436 mulx650 multiply NaN sNaN -> NaN Invalid_operation 437 mulx651 multiply -Inf sNaN -> NaN Invalid_operation 438 mulx652 multiply -1000 sNaN -> NaN Invalid_operation 439 mulx653 multiply -1 sNaN -> NaN Invalid_operation 440 mulx654 multiply -0 sNaN -> NaN Invalid_operation 441 mulx655 multiply 0 sNaN -> NaN Invalid_operation 442 mulx656 multiply 1 sNaN -> NaN Invalid_operation 443 mulx657 multiply 1000 sNaN -> NaN Invalid_operation 444 mulx658 multiply Inf sNaN -> NaN Invalid_operation 445 mulx659 multiply NaN sNaN -> NaN Invalid_operation 446 447 -- propagating NaNs 448 mulx661 multiply NaN9 -Inf -> NaN9 449 mulx662 multiply NaN8 999 -> NaN8 450 mulx663 multiply NaN71 Inf -> NaN71 451 mulx664 multiply NaN6 NaN5 -> NaN6 452 mulx665 multiply -Inf NaN4 -> NaN4 453 mulx666 multiply -999 NaN33 -> NaN33 454 mulx667 multiply Inf NaN2 -> NaN2 455 456 mulx671 multiply sNaN99 -Inf -> NaN99 Invalid_operation 457 mulx672 multiply sNaN98 -11 -> NaN98 Invalid_operation 458 mulx673 multiply sNaN97 NaN -> NaN97 Invalid_operation 459 mulx674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation 460 mulx675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation 461 mulx676 multiply -Inf sNaN92 -> NaN92 Invalid_operation 462 mulx677 multiply 088 sNaN91 -> NaN91 Invalid_operation 463 mulx678 multiply Inf sNaN90 -> NaN90 Invalid_operation 464 mulx679 multiply NaN sNaN89 -> NaN89 Invalid_operation 465 466 mulx681 multiply -NaN9 -Inf -> -NaN9 467 mulx682 multiply -NaN8 999 -> -NaN8 468 mulx683 multiply -NaN71 Inf -> -NaN71 469 mulx684 multiply -NaN6 -NaN5 -> -NaN6 470 mulx685 multiply -Inf -NaN4 -> -NaN4 471 mulx686 multiply -999 -NaN33 -> -NaN33 472 mulx687 multiply Inf -NaN2 -> -NaN2 473 474 mulx691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation 475 mulx692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation 476 mulx693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation 477 mulx694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation 478 mulx695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation 479 mulx696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation 480 mulx697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation 481 mulx698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation 482 mulx699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation 483 484 mulx701 multiply -NaN -Inf -> -NaN 485 mulx702 multiply -NaN 999 -> -NaN 486 mulx703 multiply -NaN Inf -> -NaN 487 mulx704 multiply -NaN -NaN -> -NaN 488 mulx705 multiply -Inf -NaN0 -> -NaN 489 mulx706 multiply -999 -NaN -> -NaN 490 mulx707 multiply Inf -NaN -> -NaN 491 492 mulx711 multiply -sNaN -Inf -> -NaN Invalid_operation 493 mulx712 multiply -sNaN -11 -> -NaN Invalid_operation 494 mulx713 multiply -sNaN00 NaN -> -NaN Invalid_operation 495 mulx714 multiply -sNaN -sNaN -> -NaN Invalid_operation 496 mulx715 multiply -NaN -sNaN -> -NaN Invalid_operation 497 mulx716 multiply -Inf -sNaN -> -NaN Invalid_operation 498 mulx717 multiply 088 -sNaN -> -NaN Invalid_operation 499 mulx718 multiply Inf -sNaN -> -NaN Invalid_operation 500 mulx719 multiply -NaN -sNaN -> -NaN Invalid_operation 501 502 -- overflow and underflow tests .. note subnormal results 503 maxexponent: 999999999 504 minexponent: -999999999 505 mulx730 multiply +1.23456789012345E-0 9E+999999999 -> Infinity Inexact Overflow Rounded 506 mulx731 multiply 9E+999999999 +1.23456789012345E-0 -> Infinity Inexact Overflow Rounded 507 mulx732 multiply +0.100 9E-999999999 -> 9.00E-1000000000 Subnormal 508 mulx733 multiply 9E-999999999 +0.100 -> 9.00E-1000000000 Subnormal 509 mulx735 multiply -1.23456789012345E-0 9E+999999999 -> -Infinity Inexact Overflow Rounded 510 mulx736 multiply 9E+999999999 -1.23456789012345E-0 -> -Infinity Inexact Overflow Rounded 511 mulx737 multiply -0.100 9E-999999999 -> -9.00E-1000000000 Subnormal 512 mulx738 multiply 9E-999999999 -0.100 -> -9.00E-1000000000 Subnormal 513 514 mulx739 multiply 1e-599999999 1e-400000001 -> 1E-1000000000 Subnormal 515 mulx740 multiply 1e-599999999 1e-400000000 -> 1E-999999999 516 mulx741 multiply 1e-600000000 1e-400000000 -> 1E-1000000000 Subnormal 517 mulx742 multiply 9e-999999998 0.01 -> 9E-1000000000 Subnormal 518 mulx743 multiply 9e-999999998 0.1 -> 9E-999999999 519 mulx744 multiply 0.01 9e-999999998 -> 9E-1000000000 Subnormal 520 mulx745 multiply 1e599999999 1e400000001 -> Infinity Overflow Inexact Rounded 521 mulx746 multiply 1e599999999 1e400000000 -> 1E+999999999 522 mulx747 multiply 1e600000000 1e400000000 -> Infinity Overflow Inexact Rounded 523 mulx748 multiply 9e999999998 100 -> Infinity Overflow Inexact Rounded 524 mulx749 multiply 9e999999998 10 -> 9.0E+999999999 525 mulx750 multiply 100 9e999999998 -> Infinity Overflow Inexact Rounded 526 -- signs 527 mulx751 multiply 1e+777777777 1e+411111111 -> Infinity Overflow Inexact Rounded 528 mulx752 multiply 1e+777777777 -1e+411111111 -> -Infinity Overflow Inexact Rounded 529 mulx753 multiply -1e+777777777 1e+411111111 -> -Infinity Overflow Inexact Rounded 530 mulx754 multiply -1e+777777777 -1e+411111111 -> Infinity Overflow Inexact Rounded 531 mulx755 multiply 1e-777777777 1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 532 mulx756 multiply 1e-777777777 -1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 533 mulx757 multiply -1e-777777777 1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 534 mulx758 multiply -1e-777777777 -1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 535 536 -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) 537 precision: 9 538 mulx760 multiply 1e-600000000 1e-400000001 -> 1E-1000000001 Subnormal 539 mulx761 multiply 1e-600000000 1e-400000002 -> 1E-1000000002 Subnormal 540 mulx762 multiply 1e-600000000 1e-400000003 -> 1E-1000000003 Subnormal 541 mulx763 multiply 1e-600000000 1e-400000004 -> 1E-1000000004 Subnormal 542 mulx764 multiply 1e-600000000 1e-400000005 -> 1E-1000000005 Subnormal 543 mulx765 multiply 1e-600000000 1e-400000006 -> 1E-1000000006 Subnormal 544 mulx766 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal 545 mulx767 multiply 1e-600000000 1e-400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 546 mulx768 multiply 1e-600000000 1e-400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 547 mulx769 multiply 1e-600000000 1e-400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped 548 -- [no equivalent of 'subnormal' for overflow] 549 mulx770 multiply 1e+600000000 1e+400000001 -> Infinity Overflow Inexact Rounded 550 mulx771 multiply 1e+600000000 1e+400000002 -> Infinity Overflow Inexact Rounded 551 mulx772 multiply 1e+600000000 1e+400000003 -> Infinity Overflow Inexact Rounded 552 mulx773 multiply 1e+600000000 1e+400000004 -> Infinity Overflow Inexact Rounded 553 mulx774 multiply 1e+600000000 1e+400000005 -> Infinity Overflow Inexact Rounded 554 mulx775 multiply 1e+600000000 1e+400000006 -> Infinity Overflow Inexact Rounded 555 mulx776 multiply 1e+600000000 1e+400000007 -> Infinity Overflow Inexact Rounded 556 mulx777 multiply 1e+600000000 1e+400000008 -> Infinity Overflow Inexact Rounded 557 mulx778 multiply 1e+600000000 1e+400000009 -> Infinity Overflow Inexact Rounded 558 mulx779 multiply 1e+600000000 1e+400000010 -> Infinity Overflow Inexact Rounded 559 560 -- 'subnormal' test edge condition at higher precisions 561 precision: 99 562 mulx780 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal 563 mulx781 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal 564 mulx782 multiply 1e-600000000 1e-400000097 -> 1E-1000000097 Subnormal 565 mulx783 multiply 1e-600000000 1e-400000098 -> 0E-1000000097 Underflow Subnormal Inexact Rounded Clamped 566 precision: 999 567 mulx784 multiply 1e-600000000 1e-400000997 -> 1E-1000000997 Subnormal 568 mulx785 multiply 1e-600000000 1e-400000998 -> 0E-1000000997 Underflow Subnormal Inexact Rounded Clamped 569 570 -- following testcases [through mulx800] not yet run against code 571 precision: 9999 572 mulx786 multiply 1e-600000000 1e-400009997 -> 1E-1000009997 Subnormal 573 mulx787 multiply 1e-600000000 1e-400009998 -> 0E-1000009997 Underflow Subnormal Inexact Rounded Clamped 574 precision: 99999 575 mulx788 multiply 1e-600000000 1e-400099997 -> 1E-1000099997 Subnormal 576 mulx789 multiply 1e-600000000 1e-400099998 -> 0E-1000099997 Underflow Subnormal Inexact Rounded Clamped 577 precision: 999999 578 mulx790 multiply 1e-600000000 1e-400999997 -> 1E-1000999997 Subnormal 579 mulx791 multiply 1e-600000000 1e-400999998 -> 0E-1000999997 Underflow Subnormal Inexact Rounded Clamped 580 precision: 9999999 581 mulx792 multiply 1e-600000000 1e-409999997 -> 1E-1009999997 Subnormal 582 mulx793 multiply 1e-600000000 1e-409999998 -> 0E-1009999997 Underflow Subnormal Inexact Rounded Clamped 583 precision: 99999999 584 mulx794 multiply 1e-600000000 1e-499999997 -> 1E-1099999997 Subnormal 585 mulx795 multiply 1e-600000000 1e-499999998 -> 0E-1099999997 Underflow Subnormal Inexact Rounded Clamped 586 precision: 999999999 587 mulx796 multiply 1e-999999999 1e-999999997 -> 1E-1999999996 Subnormal 588 mulx797 multiply 1e-999999999 1e-999999998 -> 1E-1999999997 Subnormal 589 mulx798 multiply 1e-999999999 1e-999999999 -> 0E-1999999997 Underflow Subnormal Inexact Rounded Clamped 590 mulx799 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal 591 mulx800 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal 592 593 -- test subnormals rounding 594 precision: 5 595 maxExponent: 999 596 minexponent: -999 597 rounding: half_even 598 599 mulx801 multiply 1.0000E-999 1 -> 1.0000E-999 600 mulx802 multiply 1.000E-999 1e-1 -> 1.000E-1000 Subnormal 601 mulx803 multiply 1.00E-999 1e-2 -> 1.00E-1001 Subnormal 602 mulx804 multiply 1.0E-999 1e-3 -> 1.0E-1002 Subnormal 603 mulx805 multiply 1.0E-999 1e-4 -> 1E-1003 Subnormal Rounded 604 mulx806 multiply 1.3E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded 605 mulx807 multiply 1.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 606 mulx808 multiply 1.7E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 607 mulx809 multiply 2.3E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 608 mulx810 multiply 2.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 609 mulx811 multiply 2.7E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded 610 mulx812 multiply 1.49E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded 611 mulx813 multiply 1.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 612 mulx814 multiply 1.51E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 613 mulx815 multiply 2.49E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 614 mulx816 multiply 2.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded 615 mulx817 multiply 2.51E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded 616 617 mulx818 multiply 1E-999 1e-4 -> 1E-1003 Subnormal 618 mulx819 multiply 3E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped 619 mulx820 multiply 5E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped 620 mulx821 multiply 7E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded 621 mulx822 multiply 9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded 622 mulx823 multiply 9.9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded 623 624 mulx824 multiply 1E-999 -1e-4 -> -1E-1003 Subnormal 625 mulx825 multiply 3E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped 626 mulx826 multiply -5E-999 1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped 627 mulx827 multiply 7E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded 628 mulx828 multiply -9E-999 1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded 629 mulx829 multiply 9.9E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded 630 mulx830 multiply 3.0E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped 631 632 mulx831 multiply 1.0E-501 1e-501 -> 1.0E-1002 Subnormal 633 mulx832 multiply 2.0E-501 2e-501 -> 4.0E-1002 Subnormal 634 mulx833 multiply 4.0E-501 4e-501 -> 1.60E-1001 Subnormal 635 mulx834 multiply 10.0E-501 10e-501 -> 1.000E-1000 Subnormal 636 mulx835 multiply 30.0E-501 30e-501 -> 9.000E-1000 Subnormal 637 mulx836 multiply 40.0E-501 40e-501 -> 1.6000E-999 638 639 -- squares 640 mulx840 multiply 1E-502 1e-502 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped 641 mulx841 multiply 1E-501 1e-501 -> 1E-1002 Subnormal 642 mulx842 multiply 2E-501 2e-501 -> 4E-1002 Subnormal 643 mulx843 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal 644 mulx844 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal 645 mulx845 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal 646 mulx846 multiply 40E-501 40e-501 -> 1.600E-999 647 648 -- cubes 649 mulx850 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped 650 mulx851 multiply 1E-668 1e-334 -> 1E-1002 Subnormal 651 mulx852 multiply 4E-668 2e-334 -> 8E-1002 Subnormal 652 mulx853 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal 653 mulx854 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal 654 mulx855 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal 655 mulx856 multiply 10E-668 100e-334 -> 1.000E-999 656 657 -- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent 658 precision: 19 659 mulx860 multiply 6636851557994578716E-520 6636851557994578716E-520 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded 660 661 -- Long operand overflow may be a different path 662 precision: 3 663 maxExponent: 999999999 664 minexponent: -999999999 665 mulx870 multiply 1 9.999E+999999999 -> Infinity Inexact Overflow Rounded 666 mulx871 multiply 1 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded 667 mulx872 multiply 9.999E+999999999 1 -> Infinity Inexact Overflow Rounded 668 mulx873 multiply -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded 669 670 -- check for double-rounded subnormals 671 precision: 5 672 maxexponent: 79 673 minexponent: -79 674 mulx881 multiply 1.2347E-40 1.2347E-40 -> 1.524E-80 Inexact Rounded Subnormal Underflow 675 mulx882 multiply 1.234E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow 676 mulx883 multiply 1.23E-40 1.23E-40 -> 1.513E-80 Inexact Rounded Subnormal Underflow 677 mulx884 multiply 1.2E-40 1.2E-40 -> 1.44E-80 Subnormal 678 mulx885 multiply 1.2E-40 1.2E-41 -> 1.44E-81 Subnormal 679 mulx886 multiply 1.2E-40 1.2E-42 -> 1.4E-82 Subnormal Inexact Rounded Underflow 680 mulx887 multiply 1.2E-40 1.3E-42 -> 1.6E-82 Subnormal Inexact Rounded Underflow 681 mulx888 multiply 1.3E-40 1.3E-42 -> 1.7E-82 Subnormal Inexact Rounded Underflow 682 mulx889 multiply 1.3E-40 1.3E-43 -> 2E-83 Subnormal Inexact Rounded Underflow 683 mulx890 multiply 1.3E-41 1.3E-43 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow 684 685 mulx891 multiply 1.2345E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded 686 mulx892 multiply 1.23456E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded 687 mulx893 multiply 1.2345E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow 688 mulx894 multiply 1.23456E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow 689 mulx895 multiply 1.2345E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow 690 mulx896 multiply 1.23456E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow 691 692 -- Now explore the case where we get a normal result with Underflow 693 precision: 16 694 rounding: half_up 695 maxExponent: 384 696 minExponent: -383 697 698 mulx900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded 699 mulx901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded 700 mulx902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded 701 mulx903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded 702 mulx904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded 703 mulx905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded 704 -- prove operands are exact 705 mulx906 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383 706 mulx907 multiply 1 0.09999999999999999 -> 0.09999999999999999 707 -- the next rounds to Nmin 708 mulx908 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 709 mulx909 multiply 9.999999999999999E-383 0.099999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 710 mulx910 multiply 9.999999999999999E-383 0.0999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 711 mulx911 multiply 9.999999999999999E-383 0.09999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 712 713 714 -- Examples from SQL proposal (Krishna Kulkarni) 715 precision: 34 716 rounding: half_up 717 maxExponent: 6144 718 minExponent: -6143 719 mulx1001 multiply 130E-2 120E-2 -> 1.5600 720 mulx1002 multiply 130E-2 12E-1 -> 1.560 721 mulx1003 multiply 130E-2 1E0 -> 1.30 722 mulx1004 multiply 1E2 1E4 -> 1E+6 723 724 -- payload decapitate 725 precision: 5 726 mulx1010 multiply 11 -sNaN1234567890 -> -NaN67890 Invalid_operation 727 728 -- Null tests 729 mulx990 multiply 10 # -> NaN Invalid_operation 730 mulx991 multiply # 10 -> NaN Invalid_operation 731 732
