1 ------------------------------------------------------------------------ 2 -- ddMultiply.decTest -- decDouble 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 -- This set of tests are for decDoubles only; all arguments are 23 -- representable in a decDouble 24 precision: 16 25 maxExponent: 384 26 minExponent: -383 27 extended: 1 28 clamp: 1 29 rounding: half_even 30 31 -- sanity checks 32 ddmul000 multiply 2 2 -> 4 33 ddmul001 multiply 2 3 -> 6 34 ddmul002 multiply 5 1 -> 5 35 ddmul003 multiply 5 2 -> 10 36 ddmul004 multiply 1.20 2 -> 2.40 37 ddmul005 multiply 1.20 0 -> 0.00 38 ddmul006 multiply 1.20 -2 -> -2.40 39 ddmul007 multiply -1.20 2 -> -2.40 40 ddmul008 multiply -1.20 0 -> -0.00 41 ddmul009 multiply -1.20 -2 -> 2.40 42 ddmul010 multiply 5.09 7.1 -> 36.139 43 ddmul011 multiply 2.5 4 -> 10.0 44 ddmul012 multiply 2.50 4 -> 10.00 45 ddmul013 multiply 1.23456789 1.00000000 -> 1.234567890000000 Rounded 46 ddmul015 multiply 2.50 4 -> 10.00 47 ddmul016 multiply 9.999999999 9.999999999 -> 99.99999998000000 Inexact Rounded 48 ddmul017 multiply 9.999999999 -9.999999999 -> -99.99999998000000 Inexact Rounded 49 ddmul018 multiply -9.999999999 9.999999999 -> -99.99999998000000 Inexact Rounded 50 ddmul019 multiply -9.999999999 -9.999999999 -> 99.99999998000000 Inexact Rounded 51 52 -- zeros, etc. 53 ddmul021 multiply 0 0 -> 0 54 ddmul022 multiply 0 -0 -> -0 55 ddmul023 multiply -0 0 -> -0 56 ddmul024 multiply -0 -0 -> 0 57 ddmul025 multiply -0.0 -0.0 -> 0.00 58 ddmul026 multiply -0.0 -0.0 -> 0.00 59 ddmul027 multiply -0.0 -0.0 -> 0.00 60 ddmul028 multiply -0.0 -0.0 -> 0.00 61 ddmul030 multiply 5.00 1E-3 -> 0.00500 62 ddmul031 multiply 00.00 0.000 -> 0.00000 63 ddmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0 64 ddmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0 65 ddmul034 multiply -5.00 1E-3 -> -0.00500 66 ddmul035 multiply -00.00 0.000 -> -0.00000 67 ddmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0 68 ddmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0 69 ddmul038 multiply 5.00 -1E-3 -> -0.00500 70 ddmul039 multiply 00.00 -0.000 -> -0.00000 71 ddmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0 72 ddmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0 73 ddmul042 multiply -5.00 -1E-3 -> 0.00500 74 ddmul043 multiply -00.00 -0.000 -> 0.00000 75 ddmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0 76 ddmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0 77 78 -- examples from decarith 79 ddmul050 multiply 1.20 3 -> 3.60 80 ddmul051 multiply 7 3 -> 21 81 ddmul052 multiply 0.9 0.8 -> 0.72 82 ddmul053 multiply 0.9 -0 -> -0.0 83 ddmul054 multiply 654321 654321 -> 428135971041 84 85 ddmul060 multiply 123.45 1e7 -> 1.2345E+9 86 ddmul061 multiply 123.45 1e8 -> 1.2345E+10 87 ddmul062 multiply 123.45 1e+9 -> 1.2345E+11 88 ddmul063 multiply 123.45 1e10 -> 1.2345E+12 89 ddmul064 multiply 123.45 1e11 -> 1.2345E+13 90 ddmul065 multiply 123.45 1e12 -> 1.2345E+14 91 ddmul066 multiply 123.45 1e13 -> 1.2345E+15 92 93 94 -- test some intermediate lengths 95 -- 1234567890123456 96 ddmul080 multiply 0.1 1230123456456789 -> 123012345645678.9 97 ddmul084 multiply 0.1 1230123456456789 -> 123012345645678.9 98 ddmul090 multiply 1230123456456789 0.1 -> 123012345645678.9 99 ddmul094 multiply 1230123456456789 0.1 -> 123012345645678.9 100 101 -- test some more edge cases and carries 102 ddmul101 multiply 9 9 -> 81 103 ddmul102 multiply 9 90 -> 810 104 ddmul103 multiply 9 900 -> 8100 105 ddmul104 multiply 9 9000 -> 81000 106 ddmul105 multiply 9 90000 -> 810000 107 ddmul106 multiply 9 900000 -> 8100000 108 ddmul107 multiply 9 9000000 -> 81000000 109 ddmul108 multiply 9 90000000 -> 810000000 110 ddmul109 multiply 9 900000000 -> 8100000000 111 ddmul110 multiply 9 9000000000 -> 81000000000 112 ddmul111 multiply 9 90000000000 -> 810000000000 113 ddmul112 multiply 9 900000000000 -> 8100000000000 114 ddmul113 multiply 9 9000000000000 -> 81000000000000 115 ddmul114 multiply 9 90000000000000 -> 810000000000000 116 ddmul115 multiply 9 900000000000000 -> 8100000000000000 117 --ddmul116 multiply 9 9000000000000000 -> 81000000000000000 118 --ddmul117 multiply 9 90000000000000000 -> 810000000000000000 119 --ddmul118 multiply 9 900000000000000000 -> 8100000000000000000 120 --ddmul119 multiply 9 9000000000000000000 -> 81000000000000000000 121 --ddmul120 multiply 9 90000000000000000000 -> 810000000000000000000 122 --ddmul121 multiply 9 900000000000000000000 -> 8100000000000000000000 123 --ddmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000 124 --ddmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000 125 -- test some more edge cases without carries 126 ddmul131 multiply 3 3 -> 9 127 ddmul132 multiply 3 30 -> 90 128 ddmul133 multiply 3 300 -> 900 129 ddmul134 multiply 3 3000 -> 9000 130 ddmul135 multiply 3 30000 -> 90000 131 ddmul136 multiply 3 300000 -> 900000 132 ddmul137 multiply 3 3000000 -> 9000000 133 ddmul138 multiply 3 30000000 -> 90000000 134 ddmul139 multiply 3 300000000 -> 900000000 135 ddmul140 multiply 3 3000000000 -> 9000000000 136 ddmul141 multiply 3 30000000000 -> 90000000000 137 ddmul142 multiply 3 300000000000 -> 900000000000 138 ddmul143 multiply 3 3000000000000 -> 9000000000000 139 ddmul144 multiply 3 30000000000000 -> 90000000000000 140 ddmul145 multiply 3 300000000000000 -> 900000000000000 141 142 -- test some edge cases with exact rounding 143 ddmul301 multiply 9 9 -> 81 144 ddmul302 multiply 9 90 -> 810 145 ddmul303 multiply 9 900 -> 8100 146 ddmul304 multiply 9 9000 -> 81000 147 ddmul305 multiply 9 90000 -> 810000 148 ddmul306 multiply 9 900000 -> 8100000 149 ddmul307 multiply 9 9000000 -> 81000000 150 ddmul308 multiply 9 90000000 -> 810000000 151 ddmul309 multiply 9 900000000 -> 8100000000 152 ddmul310 multiply 9 9000000000 -> 81000000000 153 ddmul311 multiply 9 90000000000 -> 810000000000 154 ddmul312 multiply 9 900000000000 -> 8100000000000 155 ddmul313 multiply 9 9000000000000 -> 81000000000000 156 ddmul314 multiply 9 90000000000000 -> 810000000000000 157 ddmul315 multiply 9 900000000000000 -> 8100000000000000 158 ddmul316 multiply 9 9000000000000000 -> 8.100000000000000E+16 Rounded 159 ddmul317 multiply 90 9000000000000000 -> 8.100000000000000E+17 Rounded 160 ddmul318 multiply 900 9000000000000000 -> 8.100000000000000E+18 Rounded 161 ddmul319 multiply 9000 9000000000000000 -> 8.100000000000000E+19 Rounded 162 ddmul320 multiply 90000 9000000000000000 -> 8.100000000000000E+20 Rounded 163 ddmul321 multiply 900000 9000000000000000 -> 8.100000000000000E+21 Rounded 164 ddmul322 multiply 9000000 9000000000000000 -> 8.100000000000000E+22 Rounded 165 ddmul323 multiply 90000000 9000000000000000 -> 8.100000000000000E+23 Rounded 166 167 -- tryzeros cases 168 ddmul504 multiply 0E-260 1000E-260 -> 0E-398 Clamped 169 ddmul505 multiply 100E+260 0E+260 -> 0E+369 Clamped 170 -- 65K-1 case 171 ddmul506 multiply 77.1 850 -> 65535.0 172 173 -- mixed with zeros 174 ddmul541 multiply 0 -1 -> -0 175 ddmul542 multiply -0 -1 -> 0 176 ddmul543 multiply 0 1 -> 0 177 ddmul544 multiply -0 1 -> -0 178 ddmul545 multiply -1 0 -> -0 179 ddmul546 multiply -1 -0 -> 0 180 ddmul547 multiply 1 0 -> 0 181 ddmul548 multiply 1 -0 -> -0 182 183 ddmul551 multiply 0.0 -1 -> -0.0 184 ddmul552 multiply -0.0 -1 -> 0.0 185 ddmul553 multiply 0.0 1 -> 0.0 186 ddmul554 multiply -0.0 1 -> -0.0 187 ddmul555 multiply -1.0 0 -> -0.0 188 ddmul556 multiply -1.0 -0 -> 0.0 189 ddmul557 multiply 1.0 0 -> 0.0 190 ddmul558 multiply 1.0 -0 -> -0.0 191 192 ddmul561 multiply 0 -1.0 -> -0.0 193 ddmul562 multiply -0 -1.0 -> 0.0 194 ddmul563 multiply 0 1.0 -> 0.0 195 ddmul564 multiply -0 1.0 -> -0.0 196 ddmul565 multiply -1 0.0 -> -0.0 197 ddmul566 multiply -1 -0.0 -> 0.0 198 ddmul567 multiply 1 0.0 -> 0.0 199 ddmul568 multiply 1 -0.0 -> -0.0 200 201 ddmul571 multiply 0.0 -1.0 -> -0.00 202 ddmul572 multiply -0.0 -1.0 -> 0.00 203 ddmul573 multiply 0.0 1.0 -> 0.00 204 ddmul574 multiply -0.0 1.0 -> -0.00 205 ddmul575 multiply -1.0 0.0 -> -0.00 206 ddmul576 multiply -1.0 -0.0 -> 0.00 207 ddmul577 multiply 1.0 0.0 -> 0.00 208 ddmul578 multiply 1.0 -0.0 -> -0.00 209 210 211 -- Specials 212 ddmul580 multiply Inf -Inf -> -Infinity 213 ddmul581 multiply Inf -1000 -> -Infinity 214 ddmul582 multiply Inf -1 -> -Infinity 215 ddmul583 multiply Inf -0 -> NaN Invalid_operation 216 ddmul584 multiply Inf 0 -> NaN Invalid_operation 217 ddmul585 multiply Inf 1 -> Infinity 218 ddmul586 multiply Inf 1000 -> Infinity 219 ddmul587 multiply Inf Inf -> Infinity 220 ddmul588 multiply -1000 Inf -> -Infinity 221 ddmul589 multiply -Inf Inf -> -Infinity 222 ddmul590 multiply -1 Inf -> -Infinity 223 ddmul591 multiply -0 Inf -> NaN Invalid_operation 224 ddmul592 multiply 0 Inf -> NaN Invalid_operation 225 ddmul593 multiply 1 Inf -> Infinity 226 ddmul594 multiply 1000 Inf -> Infinity 227 ddmul595 multiply Inf Inf -> Infinity 228 229 ddmul600 multiply -Inf -Inf -> Infinity 230 ddmul601 multiply -Inf -1000 -> Infinity 231 ddmul602 multiply -Inf -1 -> Infinity 232 ddmul603 multiply -Inf -0 -> NaN Invalid_operation 233 ddmul604 multiply -Inf 0 -> NaN Invalid_operation 234 ddmul605 multiply -Inf 1 -> -Infinity 235 ddmul606 multiply -Inf 1000 -> -Infinity 236 ddmul607 multiply -Inf Inf -> -Infinity 237 ddmul608 multiply -1000 Inf -> -Infinity 238 ddmul609 multiply -Inf -Inf -> Infinity 239 ddmul610 multiply -1 -Inf -> Infinity 240 ddmul611 multiply -0 -Inf -> NaN Invalid_operation 241 ddmul612 multiply 0 -Inf -> NaN Invalid_operation 242 ddmul613 multiply 1 -Inf -> -Infinity 243 ddmul614 multiply 1000 -Inf -> -Infinity 244 ddmul615 multiply Inf -Inf -> -Infinity 245 246 ddmul621 multiply NaN -Inf -> NaN 247 ddmul622 multiply NaN -1000 -> NaN 248 ddmul623 multiply NaN -1 -> NaN 249 ddmul624 multiply NaN -0 -> NaN 250 ddmul625 multiply NaN 0 -> NaN 251 ddmul626 multiply NaN 1 -> NaN 252 ddmul627 multiply NaN 1000 -> NaN 253 ddmul628 multiply NaN Inf -> NaN 254 ddmul629 multiply NaN NaN -> NaN 255 ddmul630 multiply -Inf NaN -> NaN 256 ddmul631 multiply -1000 NaN -> NaN 257 ddmul632 multiply -1 NaN -> NaN 258 ddmul633 multiply -0 NaN -> NaN 259 ddmul634 multiply 0 NaN -> NaN 260 ddmul635 multiply 1 NaN -> NaN 261 ddmul636 multiply 1000 NaN -> NaN 262 ddmul637 multiply Inf NaN -> NaN 263 264 ddmul641 multiply sNaN -Inf -> NaN Invalid_operation 265 ddmul642 multiply sNaN -1000 -> NaN Invalid_operation 266 ddmul643 multiply sNaN -1 -> NaN Invalid_operation 267 ddmul644 multiply sNaN -0 -> NaN Invalid_operation 268 ddmul645 multiply sNaN 0 -> NaN Invalid_operation 269 ddmul646 multiply sNaN 1 -> NaN Invalid_operation 270 ddmul647 multiply sNaN 1000 -> NaN Invalid_operation 271 ddmul648 multiply sNaN NaN -> NaN Invalid_operation 272 ddmul649 multiply sNaN sNaN -> NaN Invalid_operation 273 ddmul650 multiply NaN sNaN -> NaN Invalid_operation 274 ddmul651 multiply -Inf sNaN -> NaN Invalid_operation 275 ddmul652 multiply -1000 sNaN -> NaN Invalid_operation 276 ddmul653 multiply -1 sNaN -> NaN Invalid_operation 277 ddmul654 multiply -0 sNaN -> NaN Invalid_operation 278 ddmul655 multiply 0 sNaN -> NaN Invalid_operation 279 ddmul656 multiply 1 sNaN -> NaN Invalid_operation 280 ddmul657 multiply 1000 sNaN -> NaN Invalid_operation 281 ddmul658 multiply Inf sNaN -> NaN Invalid_operation 282 ddmul659 multiply NaN sNaN -> NaN Invalid_operation 283 284 -- propagating NaNs 285 ddmul661 multiply NaN9 -Inf -> NaN9 286 ddmul662 multiply NaN8 999 -> NaN8 287 ddmul663 multiply NaN71 Inf -> NaN71 288 ddmul664 multiply NaN6 NaN5 -> NaN6 289 ddmul665 multiply -Inf NaN4 -> NaN4 290 ddmul666 multiply -999 NaN33 -> NaN33 291 ddmul667 multiply Inf NaN2 -> NaN2 292 293 ddmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation 294 ddmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation 295 ddmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation 296 ddmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation 297 ddmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation 298 ddmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation 299 ddmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation 300 ddmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation 301 ddmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation 302 303 ddmul681 multiply -NaN9 -Inf -> -NaN9 304 ddmul682 multiply -NaN8 999 -> -NaN8 305 ddmul683 multiply -NaN71 Inf -> -NaN71 306 ddmul684 multiply -NaN6 -NaN5 -> -NaN6 307 ddmul685 multiply -Inf -NaN4 -> -NaN4 308 ddmul686 multiply -999 -NaN33 -> -NaN33 309 ddmul687 multiply Inf -NaN2 -> -NaN2 310 311 ddmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation 312 ddmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation 313 ddmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation 314 ddmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation 315 ddmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation 316 ddmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation 317 ddmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation 318 ddmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation 319 ddmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation 320 321 ddmul701 multiply -NaN -Inf -> -NaN 322 ddmul702 multiply -NaN 999 -> -NaN 323 ddmul703 multiply -NaN Inf -> -NaN 324 ddmul704 multiply -NaN -NaN -> -NaN 325 ddmul705 multiply -Inf -NaN0 -> -NaN 326 ddmul706 multiply -999 -NaN -> -NaN 327 ddmul707 multiply Inf -NaN -> -NaN 328 329 ddmul711 multiply -sNaN -Inf -> -NaN Invalid_operation 330 ddmul712 multiply -sNaN -11 -> -NaN Invalid_operation 331 ddmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation 332 ddmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation 333 ddmul715 multiply -NaN -sNaN -> -NaN Invalid_operation 334 ddmul716 multiply -Inf -sNaN -> -NaN Invalid_operation 335 ddmul717 multiply 088 -sNaN -> -NaN Invalid_operation 336 ddmul718 multiply Inf -sNaN -> -NaN Invalid_operation 337 ddmul719 multiply -NaN -sNaN -> -NaN Invalid_operation 338 339 -- overflow and underflow tests .. note subnormal results 340 -- signs 341 ddmul751 multiply 1e+277 1e+311 -> Infinity Overflow Inexact Rounded 342 ddmul752 multiply 1e+277 -1e+311 -> -Infinity Overflow Inexact Rounded 343 ddmul753 multiply -1e+277 1e+311 -> -Infinity Overflow Inexact Rounded 344 ddmul754 multiply -1e+277 -1e+311 -> Infinity Overflow Inexact Rounded 345 ddmul755 multiply 1e-277 1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 346 ddmul756 multiply 1e-277 -1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 347 ddmul757 multiply -1e-277 1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 348 ddmul758 multiply -1e-277 -1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 349 350 -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) 351 ddmul760 multiply 1e-291 1e-101 -> 1E-392 Subnormal 352 ddmul761 multiply 1e-291 1e-102 -> 1E-393 Subnormal 353 ddmul762 multiply 1e-291 1e-103 -> 1E-394 Subnormal 354 ddmul763 multiply 1e-291 1e-104 -> 1E-395 Subnormal 355 ddmul764 multiply 1e-291 1e-105 -> 1E-396 Subnormal 356 ddmul765 multiply 1e-291 1e-106 -> 1E-397 Subnormal 357 ddmul766 multiply 1e-291 1e-107 -> 1E-398 Subnormal 358 ddmul767 multiply 1e-291 1e-108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 359 ddmul768 multiply 1e-291 1e-109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 360 ddmul769 multiply 1e-291 1e-110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 361 -- [no equivalent of 'subnormal' for overflow] 362 ddmul770 multiply 1e+60 1e+321 -> 1.000000000000E+381 Clamped 363 ddmul771 multiply 1e+60 1e+322 -> 1.0000000000000E+382 Clamped 364 ddmul772 multiply 1e+60 1e+323 -> 1.00000000000000E+383 Clamped 365 ddmul773 multiply 1e+60 1e+324 -> 1.000000000000000E+384 Clamped 366 ddmul774 multiply 1e+60 1e+325 -> Infinity Overflow Inexact Rounded 367 ddmul775 multiply 1e+60 1e+326 -> Infinity Overflow Inexact Rounded 368 ddmul776 multiply 1e+60 1e+327 -> Infinity Overflow Inexact Rounded 369 ddmul777 multiply 1e+60 1e+328 -> Infinity Overflow Inexact Rounded 370 ddmul778 multiply 1e+60 1e+329 -> Infinity Overflow Inexact Rounded 371 ddmul779 multiply 1e+60 1e+330 -> Infinity Overflow Inexact Rounded 372 373 ddmul801 multiply 1.0000E-394 1 -> 1.0000E-394 Subnormal 374 ddmul802 multiply 1.000E-394 1e-1 -> 1.000E-395 Subnormal 375 ddmul803 multiply 1.00E-394 1e-2 -> 1.00E-396 Subnormal 376 ddmul804 multiply 1.0E-394 1e-3 -> 1.0E-397 Subnormal 377 ddmul805 multiply 1.0E-394 1e-4 -> 1E-398 Subnormal Rounded 378 ddmul806 multiply 1.3E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded 379 ddmul807 multiply 1.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 380 ddmul808 multiply 1.7E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 381 ddmul809 multiply 2.3E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 382 ddmul810 multiply 2.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 383 ddmul811 multiply 2.7E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded 384 ddmul812 multiply 1.49E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded 385 ddmul813 multiply 1.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 386 ddmul814 multiply 1.51E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 387 ddmul815 multiply 2.49E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 388 ddmul816 multiply 2.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded 389 ddmul817 multiply 2.51E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded 390 391 ddmul818 multiply 1E-394 1e-4 -> 1E-398 Subnormal 392 ddmul819 multiply 3E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 393 ddmul820 multiply 5E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 394 ddmul821 multiply 7E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded 395 ddmul822 multiply 9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded 396 ddmul823 multiply 9.9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded 397 398 ddmul824 multiply 1E-394 -1e-4 -> -1E-398 Subnormal 399 ddmul825 multiply 3E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 400 ddmul826 multiply -5E-394 1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 401 ddmul827 multiply 7E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded 402 ddmul828 multiply -9E-394 1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded 403 ddmul829 multiply 9.9E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded 404 ddmul830 multiply 3.0E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 405 406 ddmul831 multiply 1.0E-199 1e-200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 407 ddmul832 multiply 1.0E-199 1e-199 -> 1E-398 Subnormal Rounded 408 ddmul833 multiply 1.0E-199 1e-198 -> 1.0E-397 Subnormal 409 ddmul834 multiply 2.0E-199 2e-198 -> 4.0E-397 Subnormal 410 ddmul835 multiply 4.0E-199 4e-198 -> 1.60E-396 Subnormal 411 ddmul836 multiply 10.0E-199 10e-198 -> 1.000E-395 Subnormal 412 ddmul837 multiply 30.0E-199 30e-198 -> 9.000E-395 Subnormal 413 ddmul838 multiply 40.0E-199 40e-188 -> 1.6000E-384 Subnormal 414 ddmul839 multiply 40.0E-199 40e-187 -> 1.6000E-383 415 ddmul840 multiply 40.0E-199 40e-186 -> 1.6000E-382 416 417 -- Long operand overflow may be a different path 418 ddmul870 multiply 100 9.999E+383 -> Infinity Inexact Overflow Rounded 419 ddmul871 multiply 100 -9.999E+383 -> -Infinity Inexact Overflow Rounded 420 ddmul872 multiply 9.999E+383 100 -> Infinity Inexact Overflow Rounded 421 ddmul873 multiply -9.999E+383 100 -> -Infinity Inexact Overflow Rounded 422 423 -- check for double-rounded subnormals 424 ddmul881 multiply 1.2347E-355 1.2347E-40 -> 1.524E-395 Inexact Rounded Subnormal Underflow 425 ddmul882 multiply 1.234E-355 1.234E-40 -> 1.523E-395 Inexact Rounded Subnormal Underflow 426 ddmul883 multiply 1.23E-355 1.23E-40 -> 1.513E-395 Inexact Rounded Subnormal Underflow 427 ddmul884 multiply 1.2E-355 1.2E-40 -> 1.44E-395 Subnormal 428 ddmul885 multiply 1.2E-355 1.2E-41 -> 1.44E-396 Subnormal 429 ddmul886 multiply 1.2E-355 1.2E-42 -> 1.4E-397 Subnormal Inexact Rounded Underflow 430 ddmul887 multiply 1.2E-355 1.3E-42 -> 1.6E-397 Subnormal Inexact Rounded Underflow 431 ddmul888 multiply 1.3E-355 1.3E-42 -> 1.7E-397 Subnormal Inexact Rounded Underflow 432 ddmul889 multiply 1.3E-355 1.3E-43 -> 2E-398 Subnormal Inexact Rounded Underflow 433 ddmul890 multiply 1.3E-356 1.3E-43 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow 434 435 ddmul891 multiply 1.2345E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow 436 ddmul892 multiply 1.23456E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow 437 ddmul893 multiply 1.2345E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow 438 ddmul894 multiply 1.23456E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow 439 ddmul895 multiply 1.2345E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow 440 ddmul896 multiply 1.23456E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow 441 442 -- Now explore the case where we get a normal result with Underflow 443 -- 1 234567890123456 444 ddmul900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded 445 ddmul901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded 446 ddmul902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded 447 ddmul903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded 448 ddmul904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded 449 ddmul905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded 450 -- The next rounds to Nmin (b**emin); this is the distinguishing case 451 -- for detecting tininess (before or after rounding) -- if after 452 -- rounding then the result would be the same, but the Underflow flag 453 -- would not be set 454 ddmul906 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 455 -- prove those operands were exact 456 ddmul907 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383 457 ddmul908 multiply 1 0.09999999999999999 -> 0.09999999999999999 458 459 -- reducing tiniest 460 ddmul910 multiply 1e-398 0.99 -> 1E-398 Subnormal Inexact Rounded Underflow 461 ddmul911 multiply 1e-398 0.75 -> 1E-398 Subnormal Inexact Rounded Underflow 462 ddmul912 multiply 1e-398 0.5 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped 463 ddmul913 multiply 1e-398 0.25 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped 464 ddmul914 multiply 1e-398 0.01 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped 465 466 -- hugest 467 ddmul920 multiply 9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded 468 469 -- power-of-ten edge cases 470 ddmul1001 multiply 1 10 -> 10 471 ddmul1002 multiply 1 100 -> 100 472 ddmul1003 multiply 1 1000 -> 1000 473 ddmul1004 multiply 1 10000 -> 10000 474 ddmul1005 multiply 1 100000 -> 100000 475 ddmul1006 multiply 1 1000000 -> 1000000 476 ddmul1007 multiply 1 10000000 -> 10000000 477 ddmul1008 multiply 1 100000000 -> 100000000 478 ddmul1009 multiply 1 1000000000 -> 1000000000 479 ddmul1010 multiply 1 10000000000 -> 10000000000 480 ddmul1011 multiply 1 100000000000 -> 100000000000 481 ddmul1012 multiply 1 1000000000000 -> 1000000000000 482 ddmul1013 multiply 1 10000000000000 -> 10000000000000 483 ddmul1014 multiply 1 100000000000000 -> 100000000000000 484 ddmul1015 multiply 1 1000000000000000 -> 1000000000000000 485 ddmul1021 multiply 10 1 -> 10 486 ddmul1022 multiply 10 10 -> 100 487 ddmul1023 multiply 10 100 -> 1000 488 ddmul1024 multiply 10 1000 -> 10000 489 ddmul1025 multiply 10 10000 -> 100000 490 ddmul1026 multiply 10 100000 -> 1000000 491 ddmul1027 multiply 10 1000000 -> 10000000 492 ddmul1028 multiply 10 10000000 -> 100000000 493 ddmul1029 multiply 10 100000000 -> 1000000000 494 ddmul1030 multiply 10 1000000000 -> 10000000000 495 ddmul1031 multiply 10 10000000000 -> 100000000000 496 ddmul1032 multiply 10 100000000000 -> 1000000000000 497 ddmul1033 multiply 10 1000000000000 -> 10000000000000 498 ddmul1034 multiply 10 10000000000000 -> 100000000000000 499 ddmul1035 multiply 10 100000000000000 -> 1000000000000000 500 ddmul1041 multiply 100 0.1 -> 10.0 501 ddmul1042 multiply 100 1 -> 100 502 ddmul1043 multiply 100 10 -> 1000 503 ddmul1044 multiply 100 100 -> 10000 504 ddmul1045 multiply 100 1000 -> 100000 505 ddmul1046 multiply 100 10000 -> 1000000 506 ddmul1047 multiply 100 100000 -> 10000000 507 ddmul1048 multiply 100 1000000 -> 100000000 508 ddmul1049 multiply 100 10000000 -> 1000000000 509 ddmul1050 multiply 100 100000000 -> 10000000000 510 ddmul1051 multiply 100 1000000000 -> 100000000000 511 ddmul1052 multiply 100 10000000000 -> 1000000000000 512 ddmul1053 multiply 100 100000000000 -> 10000000000000 513 ddmul1054 multiply 100 1000000000000 -> 100000000000000 514 ddmul1055 multiply 100 10000000000000 -> 1000000000000000 515 ddmul1061 multiply 1000 0.01 -> 10.00 516 ddmul1062 multiply 1000 0.1 -> 100.0 517 ddmul1063 multiply 1000 1 -> 1000 518 ddmul1064 multiply 1000 10 -> 10000 519 ddmul1065 multiply 1000 100 -> 100000 520 ddmul1066 multiply 1000 1000 -> 1000000 521 ddmul1067 multiply 1000 10000 -> 10000000 522 ddmul1068 multiply 1000 100000 -> 100000000 523 ddmul1069 multiply 1000 1000000 -> 1000000000 524 ddmul1070 multiply 1000 10000000 -> 10000000000 525 ddmul1071 multiply 1000 100000000 -> 100000000000 526 ddmul1072 multiply 1000 1000000000 -> 1000000000000 527 ddmul1073 multiply 1000 10000000000 -> 10000000000000 528 ddmul1074 multiply 1000 100000000000 -> 100000000000000 529 ddmul1075 multiply 1000 1000000000000 -> 1000000000000000 530 ddmul1081 multiply 10000 0.001 -> 10.000 531 ddmul1082 multiply 10000 0.01 -> 100.00 532 ddmul1083 multiply 10000 0.1 -> 1000.0 533 ddmul1084 multiply 10000 1 -> 10000 534 ddmul1085 multiply 10000 10 -> 100000 535 ddmul1086 multiply 10000 100 -> 1000000 536 ddmul1087 multiply 10000 1000 -> 10000000 537 ddmul1088 multiply 10000 10000 -> 100000000 538 ddmul1089 multiply 10000 100000 -> 1000000000 539 ddmul1090 multiply 10000 1000000 -> 10000000000 540 ddmul1091 multiply 10000 10000000 -> 100000000000 541 ddmul1092 multiply 10000 100000000 -> 1000000000000 542 ddmul1093 multiply 10000 1000000000 -> 10000000000000 543 ddmul1094 multiply 10000 10000000000 -> 100000000000000 544 ddmul1095 multiply 10000 100000000000 -> 1000000000000000 545 546 ddmul1097 multiply 10000 99999999999 -> 999999999990000 547 ddmul1098 multiply 10000 99999999999 -> 999999999990000 548 549 550 -- Null tests 551 ddmul9990 multiply 10 # -> NaN Invalid_operation 552 ddmul9991 multiply # 10 -> NaN Invalid_operation 553 554
