1------------------------------------------------------------------------ 2-- dqMultiply.decTest -- decQuad 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@uk.ibm.com -- 19------------------------------------------------------------------------ 20version: 2.59 21 22-- This set of tests are for decQuads only; all arguments are 23-- representable in a decQuad 24extended: 1 25clamp: 1 26precision: 34 27maxExponent: 6144 28minExponent: -6143 29rounding: half_even 30 31-- sanity checks 32dqmul000 multiply 2 2 -> 4 33dqmul001 multiply 2 3 -> 6 34dqmul002 multiply 5 1 -> 5 35dqmul003 multiply 5 2 -> 10 36dqmul004 multiply 1.20 2 -> 2.40 37dqmul005 multiply 1.20 0 -> 0.00 38dqmul006 multiply 1.20 -2 -> -2.40 39dqmul007 multiply -1.20 2 -> -2.40 40dqmul008 multiply -1.20 0 -> -0.00 41dqmul009 multiply -1.20 -2 -> 2.40 42dqmul010 multiply 5.09 7.1 -> 36.139 43dqmul011 multiply 2.5 4 -> 10.0 44dqmul012 multiply 2.50 4 -> 10.00 45dqmul013 multiply 1.23456789 1.0000000000000000000000000000 -> 1.234567890000000000000000000000000 Rounded 46dqmul015 multiply 2.50 4 -> 10.00 47dqmul016 multiply 9.99999999999999999 9.99999999999999999 -> 99.99999999999999980000000000000000 Inexact Rounded 48dqmul017 multiply 9.99999999999999999 -9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded 49dqmul018 multiply -9.99999999999999999 9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded 50dqmul019 multiply -9.99999999999999999 -9.99999999999999999 -> 99.99999999999999980000000000000000 Inexact Rounded 51 52-- zeros, etc. 53dqmul021 multiply 0 0 -> 0 54dqmul022 multiply 0 -0 -> -0 55dqmul023 multiply -0 0 -> -0 56dqmul024 multiply -0 -0 -> 0 57dqmul025 multiply -0.0 -0.0 -> 0.00 58dqmul026 multiply -0.0 -0.0 -> 0.00 59dqmul027 multiply -0.0 -0.0 -> 0.00 60dqmul028 multiply -0.0 -0.0 -> 0.00 61dqmul030 multiply 5.00 1E-3 -> 0.00500 62dqmul031 multiply 00.00 0.000 -> 0.00000 63dqmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0 64dqmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0 65dqmul034 multiply -5.00 1E-3 -> -0.00500 66dqmul035 multiply -00.00 0.000 -> -0.00000 67dqmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0 68dqmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0 69dqmul038 multiply 5.00 -1E-3 -> -0.00500 70dqmul039 multiply 00.00 -0.000 -> -0.00000 71dqmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0 72dqmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0 73dqmul042 multiply -5.00 -1E-3 -> 0.00500 74dqmul043 multiply -00.00 -0.000 -> 0.00000 75dqmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0 76dqmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0 77 78-- examples from decarith 79dqmul050 multiply 1.20 3 -> 3.60 80dqmul051 multiply 7 3 -> 21 81dqmul052 multiply 0.9 0.8 -> 0.72 82dqmul053 multiply 0.9 -0 -> -0.0 83dqmul054 multiply 654321 654321 -> 428135971041 84 85dqmul060 multiply 123.45 1e7 -> 1.2345E+9 86dqmul061 multiply 123.45 1e8 -> 1.2345E+10 87dqmul062 multiply 123.45 1e+9 -> 1.2345E+11 88dqmul063 multiply 123.45 1e10 -> 1.2345E+12 89dqmul064 multiply 123.45 1e11 -> 1.2345E+13 90dqmul065 multiply 123.45 1e12 -> 1.2345E+14 91dqmul066 multiply 123.45 1e13 -> 1.2345E+15 92 93 94-- test some intermediate lengths 95-- 1234567890123456 96dqmul080 multiply 0.1 1230123456456789 -> 123012345645678.9 97dqmul084 multiply 0.1 1230123456456789 -> 123012345645678.9 98dqmul090 multiply 1230123456456789 0.1 -> 123012345645678.9 99dqmul094 multiply 1230123456456789 0.1 -> 123012345645678.9 100 101-- test some more edge cases and carries 102dqmul101 multiply 9 9 -> 81 103dqmul102 multiply 9 90 -> 810 104dqmul103 multiply 9 900 -> 8100 105dqmul104 multiply 9 9000 -> 81000 106dqmul105 multiply 9 90000 -> 810000 107dqmul106 multiply 9 900000 -> 8100000 108dqmul107 multiply 9 9000000 -> 81000000 109dqmul108 multiply 9 90000000 -> 810000000 110dqmul109 multiply 9 900000000 -> 8100000000 111dqmul110 multiply 9 9000000000 -> 81000000000 112dqmul111 multiply 9 90000000000 -> 810000000000 113dqmul112 multiply 9 900000000000 -> 8100000000000 114dqmul113 multiply 9 9000000000000 -> 81000000000000 115dqmul114 multiply 9 90000000000000 -> 810000000000000 116dqmul115 multiply 9 900000000000000 -> 8100000000000000 117--dqmul116 multiply 9 9000000000000000 -> 81000000000000000 118--dqmul117 multiply 9 90000000000000000 -> 810000000000000000 119--dqmul118 multiply 9 900000000000000000 -> 8100000000000000000 120--dqmul119 multiply 9 9000000000000000000 -> 81000000000000000000 121--dqmul120 multiply 9 90000000000000000000 -> 810000000000000000000 122--dqmul121 multiply 9 900000000000000000000 -> 8100000000000000000000 123--dqmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000 124--dqmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000 125-- test some more edge cases without carries 126dqmul131 multiply 3 3 -> 9 127dqmul132 multiply 3 30 -> 90 128dqmul133 multiply 3 300 -> 900 129dqmul134 multiply 3 3000 -> 9000 130dqmul135 multiply 3 30000 -> 90000 131dqmul136 multiply 3 300000 -> 900000 132dqmul137 multiply 3 3000000 -> 9000000 133dqmul138 multiply 3 30000000 -> 90000000 134dqmul139 multiply 3 300000000 -> 900000000 135dqmul140 multiply 3 3000000000 -> 9000000000 136dqmul141 multiply 3 30000000000 -> 90000000000 137dqmul142 multiply 3 300000000000 -> 900000000000 138dqmul143 multiply 3 3000000000000 -> 9000000000000 139dqmul144 multiply 3 30000000000000 -> 90000000000000 140dqmul145 multiply 3 300000000000000 -> 900000000000000 141dqmul146 multiply 3 3000000000000000 -> 9000000000000000 142dqmul147 multiply 3 30000000000000000 -> 90000000000000000 143dqmul148 multiply 3 300000000000000000 -> 900000000000000000 144dqmul149 multiply 3 3000000000000000000 -> 9000000000000000000 145dqmul150 multiply 3 30000000000000000000 -> 90000000000000000000 146dqmul151 multiply 3 300000000000000000000 -> 900000000000000000000 147dqmul152 multiply 3 3000000000000000000000 -> 9000000000000000000000 148dqmul153 multiply 3 30000000000000000000000 -> 90000000000000000000000 149 150dqmul263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928296 Inexact Rounded 151 152-- test some edge cases with exact rounding 153dqmul301 multiply 900000000000000000 9 -> 8100000000000000000 154dqmul302 multiply 900000000000000000 90 -> 81000000000000000000 155dqmul303 multiply 900000000000000000 900 -> 810000000000000000000 156dqmul304 multiply 900000000000000000 9000 -> 8100000000000000000000 157dqmul305 multiply 900000000000000000 90000 -> 81000000000000000000000 158dqmul306 multiply 900000000000000000 900000 -> 810000000000000000000000 159dqmul307 multiply 900000000000000000 9000000 -> 8100000000000000000000000 160dqmul308 multiply 900000000000000000 90000000 -> 81000000000000000000000000 161dqmul309 multiply 900000000000000000 900000000 -> 810000000000000000000000000 162dqmul310 multiply 900000000000000000 9000000000 -> 8100000000000000000000000000 163dqmul311 multiply 900000000000000000 90000000000 -> 81000000000000000000000000000 164dqmul312 multiply 900000000000000000 900000000000 -> 810000000000000000000000000000 165dqmul313 multiply 900000000000000000 9000000000000 -> 8100000000000000000000000000000 166dqmul314 multiply 900000000000000000 90000000000000 -> 81000000000000000000000000000000 167dqmul315 multiply 900000000000000000 900000000000000 -> 810000000000000000000000000000000 168dqmul316 multiply 900000000000000000 9000000000000000 -> 8100000000000000000000000000000000 169dqmul317 multiply 9000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+34 Rounded 170dqmul318 multiply 90000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+35 Rounded 171dqmul319 multiply 900000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+36 Rounded 172dqmul320 multiply 9000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+37 Rounded 173dqmul321 multiply 90000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+38 Rounded 174dqmul322 multiply 900000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+39 Rounded 175dqmul323 multiply 9000000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+40 Rounded 176 177-- tryzeros cases 178dqmul504 multiply 0E-4260 1000E-4260 -> 0E-6176 Clamped 179dqmul505 multiply 100E+4260 0E+4260 -> 0E+6111 Clamped 180 181-- mixed with zeros 182dqmul541 multiply 0 -1 -> -0 183dqmul542 multiply -0 -1 -> 0 184dqmul543 multiply 0 1 -> 0 185dqmul544 multiply -0 1 -> -0 186dqmul545 multiply -1 0 -> -0 187dqmul546 multiply -1 -0 -> 0 188dqmul547 multiply 1 0 -> 0 189dqmul548 multiply 1 -0 -> -0 190 191dqmul551 multiply 0.0 -1 -> -0.0 192dqmul552 multiply -0.0 -1 -> 0.0 193dqmul553 multiply 0.0 1 -> 0.0 194dqmul554 multiply -0.0 1 -> -0.0 195dqmul555 multiply -1.0 0 -> -0.0 196dqmul556 multiply -1.0 -0 -> 0.0 197dqmul557 multiply 1.0 0 -> 0.0 198dqmul558 multiply 1.0 -0 -> -0.0 199 200dqmul561 multiply 0 -1.0 -> -0.0 201dqmul562 multiply -0 -1.0 -> 0.0 202dqmul563 multiply 0 1.0 -> 0.0 203dqmul564 multiply -0 1.0 -> -0.0 204dqmul565 multiply -1 0.0 -> -0.0 205dqmul566 multiply -1 -0.0 -> 0.0 206dqmul567 multiply 1 0.0 -> 0.0 207dqmul568 multiply 1 -0.0 -> -0.0 208 209dqmul571 multiply 0.0 -1.0 -> -0.00 210dqmul572 multiply -0.0 -1.0 -> 0.00 211dqmul573 multiply 0.0 1.0 -> 0.00 212dqmul574 multiply -0.0 1.0 -> -0.00 213dqmul575 multiply -1.0 0.0 -> -0.00 214dqmul576 multiply -1.0 -0.0 -> 0.00 215dqmul577 multiply 1.0 0.0 -> 0.00 216dqmul578 multiply 1.0 -0.0 -> -0.00 217 218 219-- Specials 220dqmul580 multiply Inf -Inf -> -Infinity 221dqmul581 multiply Inf -1000 -> -Infinity 222dqmul582 multiply Inf -1 -> -Infinity 223dqmul583 multiply Inf -0 -> NaN Invalid_operation 224dqmul584 multiply Inf 0 -> NaN Invalid_operation 225dqmul585 multiply Inf 1 -> Infinity 226dqmul586 multiply Inf 1000 -> Infinity 227dqmul587 multiply Inf Inf -> Infinity 228dqmul588 multiply -1000 Inf -> -Infinity 229dqmul589 multiply -Inf Inf -> -Infinity 230dqmul590 multiply -1 Inf -> -Infinity 231dqmul591 multiply -0 Inf -> NaN Invalid_operation 232dqmul592 multiply 0 Inf -> NaN Invalid_operation 233dqmul593 multiply 1 Inf -> Infinity 234dqmul594 multiply 1000 Inf -> Infinity 235dqmul595 multiply Inf Inf -> Infinity 236 237dqmul600 multiply -Inf -Inf -> Infinity 238dqmul601 multiply -Inf -1000 -> Infinity 239dqmul602 multiply -Inf -1 -> Infinity 240dqmul603 multiply -Inf -0 -> NaN Invalid_operation 241dqmul604 multiply -Inf 0 -> NaN Invalid_operation 242dqmul605 multiply -Inf 1 -> -Infinity 243dqmul606 multiply -Inf 1000 -> -Infinity 244dqmul607 multiply -Inf Inf -> -Infinity 245dqmul608 multiply -1000 Inf -> -Infinity 246dqmul609 multiply -Inf -Inf -> Infinity 247dqmul610 multiply -1 -Inf -> Infinity 248dqmul611 multiply -0 -Inf -> NaN Invalid_operation 249dqmul612 multiply 0 -Inf -> NaN Invalid_operation 250dqmul613 multiply 1 -Inf -> -Infinity 251dqmul614 multiply 1000 -Inf -> -Infinity 252dqmul615 multiply Inf -Inf -> -Infinity 253 254dqmul621 multiply NaN -Inf -> NaN 255dqmul622 multiply NaN -1000 -> NaN 256dqmul623 multiply NaN -1 -> NaN 257dqmul624 multiply NaN -0 -> NaN 258dqmul625 multiply NaN 0 -> NaN 259dqmul626 multiply NaN 1 -> NaN 260dqmul627 multiply NaN 1000 -> NaN 261dqmul628 multiply NaN Inf -> NaN 262dqmul629 multiply NaN NaN -> NaN 263dqmul630 multiply -Inf NaN -> NaN 264dqmul631 multiply -1000 NaN -> NaN 265dqmul632 multiply -1 NaN -> NaN 266dqmul633 multiply -0 NaN -> NaN 267dqmul634 multiply 0 NaN -> NaN 268dqmul635 multiply 1 NaN -> NaN 269dqmul636 multiply 1000 NaN -> NaN 270dqmul637 multiply Inf NaN -> NaN 271 272dqmul641 multiply sNaN -Inf -> NaN Invalid_operation 273dqmul642 multiply sNaN -1000 -> NaN Invalid_operation 274dqmul643 multiply sNaN -1 -> NaN Invalid_operation 275dqmul644 multiply sNaN -0 -> NaN Invalid_operation 276dqmul645 multiply sNaN 0 -> NaN Invalid_operation 277dqmul646 multiply sNaN 1 -> NaN Invalid_operation 278dqmul647 multiply sNaN 1000 -> NaN Invalid_operation 279dqmul648 multiply sNaN NaN -> NaN Invalid_operation 280dqmul649 multiply sNaN sNaN -> NaN Invalid_operation 281dqmul650 multiply NaN sNaN -> NaN Invalid_operation 282dqmul651 multiply -Inf sNaN -> NaN Invalid_operation 283dqmul652 multiply -1000 sNaN -> NaN Invalid_operation 284dqmul653 multiply -1 sNaN -> NaN Invalid_operation 285dqmul654 multiply -0 sNaN -> NaN Invalid_operation 286dqmul655 multiply 0 sNaN -> NaN Invalid_operation 287dqmul656 multiply 1 sNaN -> NaN Invalid_operation 288dqmul657 multiply 1000 sNaN -> NaN Invalid_operation 289dqmul658 multiply Inf sNaN -> NaN Invalid_operation 290dqmul659 multiply NaN sNaN -> NaN Invalid_operation 291 292-- propagating NaNs 293dqmul661 multiply NaN9 -Inf -> NaN9 294dqmul662 multiply NaN8 999 -> NaN8 295dqmul663 multiply NaN71 Inf -> NaN71 296dqmul664 multiply NaN6 NaN5 -> NaN6 297dqmul665 multiply -Inf NaN4 -> NaN4 298dqmul666 multiply -999 NaN33 -> NaN33 299dqmul667 multiply Inf NaN2 -> NaN2 300 301dqmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation 302dqmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation 303dqmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation 304dqmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation 305dqmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation 306dqmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation 307dqmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation 308dqmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation 309dqmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation 310 311dqmul681 multiply -NaN9 -Inf -> -NaN9 312dqmul682 multiply -NaN8 999 -> -NaN8 313dqmul683 multiply -NaN71 Inf -> -NaN71 314dqmul684 multiply -NaN6 -NaN5 -> -NaN6 315dqmul685 multiply -Inf -NaN4 -> -NaN4 316dqmul686 multiply -999 -NaN33 -> -NaN33 317dqmul687 multiply Inf -NaN2 -> -NaN2 318 319dqmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation 320dqmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation 321dqmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation 322dqmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation 323dqmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation 324dqmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation 325dqmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation 326dqmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation 327dqmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation 328 329dqmul701 multiply -NaN -Inf -> -NaN 330dqmul702 multiply -NaN 999 -> -NaN 331dqmul703 multiply -NaN Inf -> -NaN 332dqmul704 multiply -NaN -NaN -> -NaN 333dqmul705 multiply -Inf -NaN0 -> -NaN 334dqmul706 multiply -999 -NaN -> -NaN 335dqmul707 multiply Inf -NaN -> -NaN 336 337dqmul711 multiply -sNaN -Inf -> -NaN Invalid_operation 338dqmul712 multiply -sNaN -11 -> -NaN Invalid_operation 339dqmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation 340dqmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation 341dqmul715 multiply -NaN -sNaN -> -NaN Invalid_operation 342dqmul716 multiply -Inf -sNaN -> -NaN Invalid_operation 343dqmul717 multiply 088 -sNaN -> -NaN Invalid_operation 344dqmul718 multiply Inf -sNaN -> -NaN Invalid_operation 345dqmul719 multiply -NaN -sNaN -> -NaN Invalid_operation 346 347-- overflow and underflow tests .. note subnormal results 348-- signs 349dqmul751 multiply 1e+4277 1e+3311 -> Infinity Overflow Inexact Rounded 350dqmul752 multiply 1e+4277 -1e+3311 -> -Infinity Overflow Inexact Rounded 351dqmul753 multiply -1e+4277 1e+3311 -> -Infinity Overflow Inexact Rounded 352dqmul754 multiply -1e+4277 -1e+3311 -> Infinity Overflow Inexact Rounded 353dqmul755 multiply 1e-4277 1e-3311 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 354dqmul756 multiply 1e-4277 -1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 355dqmul757 multiply -1e-4277 1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 356dqmul758 multiply -1e-4277 -1e-3311 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 357 358-- 'subnormal' boundary (all hard underflow or overflow in base arithmetic) 359dqmul760 multiply 1e-6069 1e-101 -> 1E-6170 Subnormal 360dqmul761 multiply 1e-6069 1e-102 -> 1E-6171 Subnormal 361dqmul762 multiply 1e-6069 1e-103 -> 1E-6172 Subnormal 362dqmul763 multiply 1e-6069 1e-104 -> 1E-6173 Subnormal 363dqmul764 multiply 1e-6069 1e-105 -> 1E-6174 Subnormal 364dqmul765 multiply 1e-6069 1e-106 -> 1E-6175 Subnormal 365dqmul766 multiply 1e-6069 1e-107 -> 1E-6176 Subnormal 366dqmul767 multiply 1e-6069 1e-108 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 367dqmul768 multiply 1e-6069 1e-109 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 368dqmul769 multiply 1e-6069 1e-110 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 369-- [no equivalent of 'subnormal' for overflow] 370dqmul770 multiply 1e+40 1e+6101 -> 1.000000000000000000000000000000E+6141 Clamped 371dqmul771 multiply 1e+40 1e+6102 -> 1.0000000000000000000000000000000E+6142 Clamped 372dqmul772 multiply 1e+40 1e+6103 -> 1.00000000000000000000000000000000E+6143 Clamped 373dqmul773 multiply 1e+40 1e+6104 -> 1.000000000000000000000000000000000E+6144 Clamped 374dqmul774 multiply 1e+40 1e+6105 -> Infinity Overflow Inexact Rounded 375dqmul775 multiply 1e+40 1e+6106 -> Infinity Overflow Inexact Rounded 376dqmul776 multiply 1e+40 1e+6107 -> Infinity Overflow Inexact Rounded 377dqmul777 multiply 1e+40 1e+6108 -> Infinity Overflow Inexact Rounded 378dqmul778 multiply 1e+40 1e+6109 -> Infinity Overflow Inexact Rounded 379dqmul779 multiply 1e+40 1e+6110 -> Infinity Overflow Inexact Rounded 380 381dqmul801 multiply 1.0000E-6172 1 -> 1.0000E-6172 Subnormal 382dqmul802 multiply 1.000E-6172 1e-1 -> 1.000E-6173 Subnormal 383dqmul803 multiply 1.00E-6172 1e-2 -> 1.00E-6174 Subnormal 384dqmul804 multiply 1.0E-6172 1e-3 -> 1.0E-6175 Subnormal 385dqmul805 multiply 1.0E-6172 1e-4 -> 1E-6176 Subnormal Rounded 386dqmul806 multiply 1.3E-6172 1e-4 -> 1E-6176 Underflow Subnormal Inexact Rounded 387dqmul807 multiply 1.5E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 388dqmul808 multiply 1.7E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 389dqmul809 multiply 2.3E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 390dqmul810 multiply 2.5E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 391dqmul811 multiply 2.7E-6172 1e-4 -> 3E-6176 Underflow Subnormal Inexact Rounded 392dqmul812 multiply 1.49E-6172 1e-4 -> 1E-6176 Underflow Subnormal Inexact Rounded 393dqmul813 multiply 1.50E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 394dqmul814 multiply 1.51E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 395dqmul815 multiply 2.49E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 396dqmul816 multiply 2.50E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded 397dqmul817 multiply 2.51E-6172 1e-4 -> 3E-6176 Underflow Subnormal Inexact Rounded 398 399dqmul818 multiply 1E-6172 1e-4 -> 1E-6176 Subnormal 400dqmul819 multiply 3E-6172 1e-5 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 401dqmul820 multiply 5E-6172 1e-5 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 402dqmul821 multiply 7E-6172 1e-5 -> 1E-6176 Underflow Subnormal Inexact Rounded 403dqmul822 multiply 9E-6172 1e-5 -> 1E-6176 Underflow Subnormal Inexact Rounded 404dqmul823 multiply 9.9E-6172 1e-5 -> 1E-6176 Underflow Subnormal Inexact Rounded 405 406dqmul824 multiply 1E-6172 -1e-4 -> -1E-6176 Subnormal 407dqmul825 multiply 3E-6172 -1e-5 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 408dqmul826 multiply -5E-6172 1e-5 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 409dqmul827 multiply 7E-6172 -1e-5 -> -1E-6176 Underflow Subnormal Inexact Rounded 410dqmul828 multiply -9E-6172 1e-5 -> -1E-6176 Underflow Subnormal Inexact Rounded 411dqmul829 multiply 9.9E-6172 -1e-5 -> -1E-6176 Underflow Subnormal Inexact Rounded 412dqmul830 multiply 3.0E-6172 -1e-5 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 413 414dqmul831 multiply 1.0E-5977 1e-200 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 415dqmul832 multiply 1.0E-5977 1e-199 -> 1E-6176 Subnormal Rounded 416dqmul833 multiply 1.0E-5977 1e-198 -> 1.0E-6175 Subnormal 417dqmul834 multiply 2.0E-5977 2e-198 -> 4.0E-6175 Subnormal 418dqmul835 multiply 4.0E-5977 4e-198 -> 1.60E-6174 Subnormal 419dqmul836 multiply 10.0E-5977 10e-198 -> 1.000E-6173 Subnormal 420dqmul837 multiply 30.0E-5977 30e-198 -> 9.000E-6173 Subnormal 421dqmul838 multiply 40.0E-5982 40e-166 -> 1.6000E-6145 Subnormal 422dqmul839 multiply 40.0E-5982 40e-165 -> 1.6000E-6144 Subnormal 423dqmul840 multiply 40.0E-5982 40e-164 -> 1.6000E-6143 424 425-- Long operand overflow may be a different path 426dqmul870 multiply 100 9.999E+6143 -> Infinity Inexact Overflow Rounded 427dqmul871 multiply 100 -9.999E+6143 -> -Infinity Inexact Overflow Rounded 428dqmul872 multiply 9.999E+6143 100 -> Infinity Inexact Overflow Rounded 429dqmul873 multiply -9.999E+6143 100 -> -Infinity Inexact Overflow Rounded 430 431-- check for double-rounded subnormals 432dqmul881 multiply 1.2347E-6133 1.2347E-40 -> 1.524E-6173 Inexact Rounded Subnormal Underflow 433dqmul882 multiply 1.234E-6133 1.234E-40 -> 1.523E-6173 Inexact Rounded Subnormal Underflow 434dqmul883 multiply 1.23E-6133 1.23E-40 -> 1.513E-6173 Inexact Rounded Subnormal Underflow 435dqmul884 multiply 1.2E-6133 1.2E-40 -> 1.44E-6173 Subnormal 436dqmul885 multiply 1.2E-6133 1.2E-41 -> 1.44E-6174 Subnormal 437dqmul886 multiply 1.2E-6133 1.2E-42 -> 1.4E-6175 Subnormal Inexact Rounded Underflow 438dqmul887 multiply 1.2E-6133 1.3E-42 -> 1.6E-6175 Subnormal Inexact Rounded Underflow 439dqmul888 multiply 1.3E-6133 1.3E-42 -> 1.7E-6175 Subnormal Inexact Rounded Underflow 440dqmul889 multiply 1.3E-6133 1.3E-43 -> 2E-6176 Subnormal Inexact Rounded Underflow 441dqmul890 multiply 1.3E-6134 1.3E-43 -> 0E-6176 Clamped Subnormal Inexact Rounded Underflow 442 443dqmul891 multiply 1.2345E-39 1.234E-6133 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow 444dqmul892 multiply 1.23456E-39 1.234E-6133 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow 445dqmul893 multiply 1.2345E-40 1.234E-6133 -> 1.523E-6173 Inexact Rounded Subnormal Underflow 446dqmul894 multiply 1.23456E-40 1.234E-6133 -> 1.523E-6173 Inexact Rounded Subnormal Underflow 447dqmul895 multiply 1.2345E-41 1.234E-6133 -> 1.52E-6174 Inexact Rounded Subnormal Underflow 448dqmul896 multiply 1.23456E-41 1.234E-6133 -> 1.52E-6174 Inexact Rounded Subnormal Underflow 449 450-- Now explore the case where we get a normal result with Underflow 451-- prove operands are exact 452dqmul906 multiply 9.999999999999999999999999999999999E-6143 1 -> 9.999999999999999999999999999999999E-6143 453dqmul907 multiply 1 0.09999999999999999999999999999999999 -> 0.09999999999999999999999999999999999 454-- the next rounds to Nmin 455dqmul908 multiply 9.999999999999999999999999999999999E-6143 0.09999999999999999999999999999999999 -> 1.000000000000000000000000000000000E-6143 Underflow Inexact Subnormal Rounded 456 457-- hugest 458dqmul909 multiply 9999999999999999999999999999999999 9999999999999999999999999999999999 -> 9.999999999999999999999999999999998E+67 Inexact Rounded 459-- VG case 460dqmul910 multiply 8.81125000000001349436E-1548 8.000000000000000000E-1550 -> 7.049000000000010795488000000000000E-3097 Rounded 461 462-- Examples from SQL proposal (Krishna Kulkarni) 463precision: 34 464rounding: half_up 465maxExponent: 6144 466minExponent: -6143 467dqmul911 multiply 130E-2 120E-2 -> 1.5600 468dqmul912 multiply 130E-2 12E-1 -> 1.560 469dqmul913 multiply 130E-2 1E0 -> 1.30 470dqmul914 multiply 1E2 1E4 -> 1E+6 471 472-- power-of-ten edge cases 473dqmul1001 multiply 1 10 -> 10 474dqmul1002 multiply 1 100 -> 100 475dqmul1003 multiply 1 1000 -> 1000 476dqmul1004 multiply 1 10000 -> 10000 477dqmul1005 multiply 1 100000 -> 100000 478dqmul1006 multiply 1 1000000 -> 1000000 479dqmul1007 multiply 1 10000000 -> 10000000 480dqmul1008 multiply 1 100000000 -> 100000000 481dqmul1009 multiply 1 1000000000 -> 1000000000 482dqmul1010 multiply 1 10000000000 -> 10000000000 483dqmul1011 multiply 1 100000000000 -> 100000000000 484dqmul1012 multiply 1 1000000000000 -> 1000000000000 485dqmul1013 multiply 1 10000000000000 -> 10000000000000 486dqmul1014 multiply 1 100000000000000 -> 100000000000000 487dqmul1015 multiply 1 1000000000000000 -> 1000000000000000 488 489dqmul1016 multiply 1 1000000000000000000 -> 1000000000000000000 490dqmul1017 multiply 1 100000000000000000000000000 -> 100000000000000000000000000 491dqmul1018 multiply 1 1000000000000000000000000000 -> 1000000000000000000000000000 492dqmul1019 multiply 1 10000000000000000000000000000 -> 10000000000000000000000000000 493dqmul1020 multiply 1 1000000000000000000000000000000000 -> 1000000000000000000000000000000000 494 495dqmul1021 multiply 10 1 -> 10 496dqmul1022 multiply 10 10 -> 100 497dqmul1023 multiply 10 100 -> 1000 498dqmul1024 multiply 10 1000 -> 10000 499dqmul1025 multiply 10 10000 -> 100000 500dqmul1026 multiply 10 100000 -> 1000000 501dqmul1027 multiply 10 1000000 -> 10000000 502dqmul1028 multiply 10 10000000 -> 100000000 503dqmul1029 multiply 10 100000000 -> 1000000000 504dqmul1030 multiply 10 1000000000 -> 10000000000 505dqmul1031 multiply 10 10000000000 -> 100000000000 506dqmul1032 multiply 10 100000000000 -> 1000000000000 507dqmul1033 multiply 10 1000000000000 -> 10000000000000 508dqmul1034 multiply 10 10000000000000 -> 100000000000000 509dqmul1035 multiply 10 100000000000000 -> 1000000000000000 510 511dqmul1036 multiply 10 100000000000000000 -> 1000000000000000000 512dqmul1037 multiply 10 10000000000000000000000000 -> 100000000000000000000000000 513dqmul1038 multiply 10 100000000000000000000000000 -> 1000000000000000000000000000 514dqmul1039 multiply 10 1000000000000000000000000000 -> 10000000000000000000000000000 515dqmul1040 multiply 10 100000000000000000000000000000000 -> 1000000000000000000000000000000000 516 517dqmul1041 multiply 100 0.1 -> 10.0 518dqmul1042 multiply 100 1 -> 100 519dqmul1043 multiply 100 10 -> 1000 520dqmul1044 multiply 100 100 -> 10000 521dqmul1045 multiply 100 1000 -> 100000 522dqmul1046 multiply 100 10000 -> 1000000 523dqmul1047 multiply 100 100000 -> 10000000 524dqmul1048 multiply 100 1000000 -> 100000000 525dqmul1049 multiply 100 10000000 -> 1000000000 526dqmul1050 multiply 100 100000000 -> 10000000000 527dqmul1051 multiply 100 1000000000 -> 100000000000 528dqmul1052 multiply 100 10000000000 -> 1000000000000 529dqmul1053 multiply 100 100000000000 -> 10000000000000 530dqmul1054 multiply 100 1000000000000 -> 100000000000000 531dqmul1055 multiply 100 10000000000000 -> 1000000000000000 532 533dqmul1056 multiply 100 10000000000000000 -> 1000000000000000000 534dqmul1057 multiply 100 1000000000000000000000000 -> 100000000000000000000000000 535dqmul1058 multiply 100 10000000000000000000000000 -> 1000000000000000000000000000 536dqmul1059 multiply 100 100000000000000000000000000 -> 10000000000000000000000000000 537dqmul1060 multiply 100 10000000000000000000000000000000 -> 1000000000000000000000000000000000 538 539dqmul1061 multiply 1000 0.01 -> 10.00 540dqmul1062 multiply 1000 0.1 -> 100.0 541dqmul1063 multiply 1000 1 -> 1000 542dqmul1064 multiply 1000 10 -> 10000 543dqmul1065 multiply 1000 100 -> 100000 544dqmul1066 multiply 1000 1000 -> 1000000 545dqmul1067 multiply 1000 10000 -> 10000000 546dqmul1068 multiply 1000 100000 -> 100000000 547dqmul1069 multiply 1000 1000000 -> 1000000000 548dqmul1070 multiply 1000 10000000 -> 10000000000 549dqmul1071 multiply 1000 100000000 -> 100000000000 550dqmul1072 multiply 1000 1000000000 -> 1000000000000 551dqmul1073 multiply 1000 10000000000 -> 10000000000000 552dqmul1074 multiply 1000 100000000000 -> 100000000000000 553dqmul1075 multiply 1000 1000000000000 -> 1000000000000000 554 555dqmul1076 multiply 1000 1000000000000000 -> 1000000000000000000 556dqmul1077 multiply 1000 100000000000000000000000 -> 100000000000000000000000000 557dqmul1078 multiply 1000 1000000000000000000000000 -> 1000000000000000000000000000 558dqmul1079 multiply 1000 10000000000000000000000000 -> 10000000000000000000000000000 559dqmul1080 multiply 1000 1000000000000000000000000000000 -> 1000000000000000000000000000000000 560 561dqmul1081 multiply 10000 0.001 -> 10.000 562dqmul1082 multiply 10000 0.01 -> 100.00 563dqmul1083 multiply 10000 0.1 -> 1000.0 564dqmul1084 multiply 10000 1 -> 10000 565dqmul1085 multiply 10000 10 -> 100000 566dqmul1086 multiply 10000 100 -> 1000000 567dqmul1087 multiply 10000 1000 -> 10000000 568dqmul1088 multiply 10000 10000 -> 100000000 569dqmul1089 multiply 10000 100000 -> 1000000000 570dqmul1090 multiply 10000 1000000 -> 10000000000 571dqmul1091 multiply 10000 10000000 -> 100000000000 572dqmul1092 multiply 10000 100000000 -> 1000000000000 573dqmul1093 multiply 10000 1000000000 -> 10000000000000 574dqmul1094 multiply 10000 10000000000 -> 100000000000000 575dqmul1095 multiply 10000 100000000000 -> 1000000000000000 576 577dqmul1096 multiply 10000 100000000000000 -> 1000000000000000000 578dqmul1097 multiply 10000 10000000000000000000000 -> 100000000000000000000000000 579dqmul1098 multiply 10000 100000000000000000000000 -> 1000000000000000000000000000 580dqmul1099 multiply 10000 1000000000000000000000000 -> 10000000000000000000000000000 581dqmul1100 multiply 10000 100000000000000000000000000000 -> 1000000000000000000000000000000000 582 583dqmul1107 multiply 10000 99999999999 -> 999999999990000 584dqmul1108 multiply 10000 99999999999 -> 999999999990000 585 586-- Null tests 587dqmul9990 multiply 10 # -> NaN Invalid_operation 588dqmul9991 multiply # 10 -> NaN Invalid_operation 589 590