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Diffstat (limited to 'Lib/test/decimaltestdata/ddMultiply.decTest')
-rw-r--r-- | Lib/test/decimaltestdata/ddMultiply.decTest | 1106 |
1 files changed, 553 insertions, 553 deletions
diff --git a/Lib/test/decimaltestdata/ddMultiply.decTest b/Lib/test/decimaltestdata/ddMultiply.decTest index 5873f80345..45a381dc61 100644 --- a/Lib/test/decimaltestdata/ddMultiply.decTest +++ b/Lib/test/decimaltestdata/ddMultiply.decTest @@ -1,553 +1,553 @@ ------------------------------------------------------------------------- --- ddMultiply.decTest -- decDouble multiplication -- --- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------- --- Please see the document "General Decimal Arithmetic Testcases" -- --- at http://www2.hursley.ibm.com/decimal for the description of -- --- these testcases. -- --- -- --- These testcases are experimental ('beta' versions), and they -- --- may contain errors. They are offered on an as-is basis. In -- --- particular, achieving the same results as the tests here is not -- --- a guarantee that an implementation complies with any Standard -- --- or specification. The tests are not exhaustive. -- --- -- --- Please send comments, suggestions, and corrections to the author: -- --- Mike Cowlishaw, IBM Fellow -- --- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- --- mfc@uk.ibm.com -- ------------------------------------------------------------------------- -version: 2.59 - --- This set of tests are for decDoubles only; all arguments are --- representable in a decDouble -precision: 16 -maxExponent: 384 -minExponent: -383 -extended: 1 -clamp: 1 -rounding: half_even - --- sanity checks -ddmul000 multiply 2 2 -> 4 -ddmul001 multiply 2 3 -> 6 -ddmul002 multiply 5 1 -> 5 -ddmul003 multiply 5 2 -> 10 -ddmul004 multiply 1.20 2 -> 2.40 -ddmul005 multiply 1.20 0 -> 0.00 -ddmul006 multiply 1.20 -2 -> -2.40 -ddmul007 multiply -1.20 2 -> -2.40 -ddmul008 multiply -1.20 0 -> -0.00 -ddmul009 multiply -1.20 -2 -> 2.40 -ddmul010 multiply 5.09 7.1 -> 36.139 -ddmul011 multiply 2.5 4 -> 10.0 -ddmul012 multiply 2.50 4 -> 10.00 -ddmul013 multiply 1.23456789 1.00000000 -> 1.234567890000000 Rounded -ddmul015 multiply 2.50 4 -> 10.00 -ddmul016 multiply 9.999999999 9.999999999 -> 99.99999998000000 Inexact Rounded -ddmul017 multiply 9.999999999 -9.999999999 -> -99.99999998000000 Inexact Rounded -ddmul018 multiply -9.999999999 9.999999999 -> -99.99999998000000 Inexact Rounded -ddmul019 multiply -9.999999999 -9.999999999 -> 99.99999998000000 Inexact Rounded - --- zeros, etc. -ddmul021 multiply 0 0 -> 0 -ddmul022 multiply 0 -0 -> -0 -ddmul023 multiply -0 0 -> -0 -ddmul024 multiply -0 -0 -> 0 -ddmul025 multiply -0.0 -0.0 -> 0.00 -ddmul026 multiply -0.0 -0.0 -> 0.00 -ddmul027 multiply -0.0 -0.0 -> 0.00 -ddmul028 multiply -0.0 -0.0 -> 0.00 -ddmul030 multiply 5.00 1E-3 -> 0.00500 -ddmul031 multiply 00.00 0.000 -> 0.00000 -ddmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0 -ddmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0 -ddmul034 multiply -5.00 1E-3 -> -0.00500 -ddmul035 multiply -00.00 0.000 -> -0.00000 -ddmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0 -ddmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0 -ddmul038 multiply 5.00 -1E-3 -> -0.00500 -ddmul039 multiply 00.00 -0.000 -> -0.00000 -ddmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0 -ddmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0 -ddmul042 multiply -5.00 -1E-3 -> 0.00500 -ddmul043 multiply -00.00 -0.000 -> 0.00000 -ddmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0 -ddmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0 - --- examples from decarith -ddmul050 multiply 1.20 3 -> 3.60 -ddmul051 multiply 7 3 -> 21 -ddmul052 multiply 0.9 0.8 -> 0.72 -ddmul053 multiply 0.9 -0 -> -0.0 -ddmul054 multiply 654321 654321 -> 428135971041 - -ddmul060 multiply 123.45 1e7 -> 1.2345E+9 -ddmul061 multiply 123.45 1e8 -> 1.2345E+10 -ddmul062 multiply 123.45 1e+9 -> 1.2345E+11 -ddmul063 multiply 123.45 1e10 -> 1.2345E+12 -ddmul064 multiply 123.45 1e11 -> 1.2345E+13 -ddmul065 multiply 123.45 1e12 -> 1.2345E+14 -ddmul066 multiply 123.45 1e13 -> 1.2345E+15 - - --- test some intermediate lengths --- 1234567890123456 -ddmul080 multiply 0.1 1230123456456789 -> 123012345645678.9 -ddmul084 multiply 0.1 1230123456456789 -> 123012345645678.9 -ddmul090 multiply 1230123456456789 0.1 -> 123012345645678.9 -ddmul094 multiply 1230123456456789 0.1 -> 123012345645678.9 - --- test some more edge cases and carries -ddmul101 multiply 9 9 -> 81 -ddmul102 multiply 9 90 -> 810 -ddmul103 multiply 9 900 -> 8100 -ddmul104 multiply 9 9000 -> 81000 -ddmul105 multiply 9 90000 -> 810000 -ddmul106 multiply 9 900000 -> 8100000 -ddmul107 multiply 9 9000000 -> 81000000 -ddmul108 multiply 9 90000000 -> 810000000 -ddmul109 multiply 9 900000000 -> 8100000000 -ddmul110 multiply 9 9000000000 -> 81000000000 -ddmul111 multiply 9 90000000000 -> 810000000000 -ddmul112 multiply 9 900000000000 -> 8100000000000 -ddmul113 multiply 9 9000000000000 -> 81000000000000 -ddmul114 multiply 9 90000000000000 -> 810000000000000 -ddmul115 multiply 9 900000000000000 -> 8100000000000000 ---ddmul116 multiply 9 9000000000000000 -> 81000000000000000 ---ddmul117 multiply 9 90000000000000000 -> 810000000000000000 ---ddmul118 multiply 9 900000000000000000 -> 8100000000000000000 ---ddmul119 multiply 9 9000000000000000000 -> 81000000000000000000 ---ddmul120 multiply 9 90000000000000000000 -> 810000000000000000000 ---ddmul121 multiply 9 900000000000000000000 -> 8100000000000000000000 ---ddmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000 ---ddmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000 --- test some more edge cases without carries -ddmul131 multiply 3 3 -> 9 -ddmul132 multiply 3 30 -> 90 -ddmul133 multiply 3 300 -> 900 -ddmul134 multiply 3 3000 -> 9000 -ddmul135 multiply 3 30000 -> 90000 -ddmul136 multiply 3 300000 -> 900000 -ddmul137 multiply 3 3000000 -> 9000000 -ddmul138 multiply 3 30000000 -> 90000000 -ddmul139 multiply 3 300000000 -> 900000000 -ddmul140 multiply 3 3000000000 -> 9000000000 -ddmul141 multiply 3 30000000000 -> 90000000000 -ddmul142 multiply 3 300000000000 -> 900000000000 -ddmul143 multiply 3 3000000000000 -> 9000000000000 -ddmul144 multiply 3 30000000000000 -> 90000000000000 -ddmul145 multiply 3 300000000000000 -> 900000000000000 - --- test some edge cases with exact rounding -ddmul301 multiply 9 9 -> 81 -ddmul302 multiply 9 90 -> 810 -ddmul303 multiply 9 900 -> 8100 -ddmul304 multiply 9 9000 -> 81000 -ddmul305 multiply 9 90000 -> 810000 -ddmul306 multiply 9 900000 -> 8100000 -ddmul307 multiply 9 9000000 -> 81000000 -ddmul308 multiply 9 90000000 -> 810000000 -ddmul309 multiply 9 900000000 -> 8100000000 -ddmul310 multiply 9 9000000000 -> 81000000000 -ddmul311 multiply 9 90000000000 -> 810000000000 -ddmul312 multiply 9 900000000000 -> 8100000000000 -ddmul313 multiply 9 9000000000000 -> 81000000000000 -ddmul314 multiply 9 90000000000000 -> 810000000000000 -ddmul315 multiply 9 900000000000000 -> 8100000000000000 -ddmul316 multiply 9 9000000000000000 -> 8.100000000000000E+16 Rounded -ddmul317 multiply 90 9000000000000000 -> 8.100000000000000E+17 Rounded -ddmul318 multiply 900 9000000000000000 -> 8.100000000000000E+18 Rounded -ddmul319 multiply 9000 9000000000000000 -> 8.100000000000000E+19 Rounded -ddmul320 multiply 90000 9000000000000000 -> 8.100000000000000E+20 Rounded -ddmul321 multiply 900000 9000000000000000 -> 8.100000000000000E+21 Rounded -ddmul322 multiply 9000000 9000000000000000 -> 8.100000000000000E+22 Rounded -ddmul323 multiply 90000000 9000000000000000 -> 8.100000000000000E+23 Rounded - --- tryzeros cases -ddmul504 multiply 0E-260 1000E-260 -> 0E-398 Clamped -ddmul505 multiply 100E+260 0E+260 -> 0E+369 Clamped --- 65K-1 case -ddmul506 multiply 77.1 850 -> 65535.0 - --- mixed with zeros -ddmul541 multiply 0 -1 -> -0 -ddmul542 multiply -0 -1 -> 0 -ddmul543 multiply 0 1 -> 0 -ddmul544 multiply -0 1 -> -0 -ddmul545 multiply -1 0 -> -0 -ddmul546 multiply -1 -0 -> 0 -ddmul547 multiply 1 0 -> 0 -ddmul548 multiply 1 -0 -> -0 - -ddmul551 multiply 0.0 -1 -> -0.0 -ddmul552 multiply -0.0 -1 -> 0.0 -ddmul553 multiply 0.0 1 -> 0.0 -ddmul554 multiply -0.0 1 -> -0.0 -ddmul555 multiply -1.0 0 -> -0.0 -ddmul556 multiply -1.0 -0 -> 0.0 -ddmul557 multiply 1.0 0 -> 0.0 -ddmul558 multiply 1.0 -0 -> -0.0 - -ddmul561 multiply 0 -1.0 -> -0.0 -ddmul562 multiply -0 -1.0 -> 0.0 -ddmul563 multiply 0 1.0 -> 0.0 -ddmul564 multiply -0 1.0 -> -0.0 -ddmul565 multiply -1 0.0 -> -0.0 -ddmul566 multiply -1 -0.0 -> 0.0 -ddmul567 multiply 1 0.0 -> 0.0 -ddmul568 multiply 1 -0.0 -> -0.0 - -ddmul571 multiply 0.0 -1.0 -> -0.00 -ddmul572 multiply -0.0 -1.0 -> 0.00 -ddmul573 multiply 0.0 1.0 -> 0.00 -ddmul574 multiply -0.0 1.0 -> -0.00 -ddmul575 multiply -1.0 0.0 -> -0.00 -ddmul576 multiply -1.0 -0.0 -> 0.00 -ddmul577 multiply 1.0 0.0 -> 0.00 -ddmul578 multiply 1.0 -0.0 -> -0.00 - - --- Specials -ddmul580 multiply Inf -Inf -> -Infinity -ddmul581 multiply Inf -1000 -> -Infinity -ddmul582 multiply Inf -1 -> -Infinity -ddmul583 multiply Inf -0 -> NaN Invalid_operation -ddmul584 multiply Inf 0 -> NaN Invalid_operation -ddmul585 multiply Inf 1 -> Infinity -ddmul586 multiply Inf 1000 -> Infinity -ddmul587 multiply Inf Inf -> Infinity -ddmul588 multiply -1000 Inf -> -Infinity -ddmul589 multiply -Inf Inf -> -Infinity -ddmul590 multiply -1 Inf -> -Infinity -ddmul591 multiply -0 Inf -> NaN Invalid_operation -ddmul592 multiply 0 Inf -> NaN Invalid_operation -ddmul593 multiply 1 Inf -> Infinity -ddmul594 multiply 1000 Inf -> Infinity -ddmul595 multiply Inf Inf -> Infinity - -ddmul600 multiply -Inf -Inf -> Infinity -ddmul601 multiply -Inf -1000 -> Infinity -ddmul602 multiply -Inf -1 -> Infinity -ddmul603 multiply -Inf -0 -> NaN Invalid_operation -ddmul604 multiply -Inf 0 -> NaN Invalid_operation -ddmul605 multiply -Inf 1 -> -Infinity -ddmul606 multiply -Inf 1000 -> -Infinity -ddmul607 multiply -Inf Inf -> -Infinity -ddmul608 multiply -1000 Inf -> -Infinity -ddmul609 multiply -Inf -Inf -> Infinity -ddmul610 multiply -1 -Inf -> Infinity -ddmul611 multiply -0 -Inf -> NaN Invalid_operation -ddmul612 multiply 0 -Inf -> NaN Invalid_operation -ddmul613 multiply 1 -Inf -> -Infinity -ddmul614 multiply 1000 -Inf -> -Infinity -ddmul615 multiply Inf -Inf -> -Infinity - -ddmul621 multiply NaN -Inf -> NaN -ddmul622 multiply NaN -1000 -> NaN -ddmul623 multiply NaN -1 -> NaN -ddmul624 multiply NaN -0 -> NaN -ddmul625 multiply NaN 0 -> NaN -ddmul626 multiply NaN 1 -> NaN -ddmul627 multiply NaN 1000 -> NaN -ddmul628 multiply NaN Inf -> NaN -ddmul629 multiply NaN NaN -> NaN -ddmul630 multiply -Inf NaN -> NaN -ddmul631 multiply -1000 NaN -> NaN -ddmul632 multiply -1 NaN -> NaN -ddmul633 multiply -0 NaN -> NaN -ddmul634 multiply 0 NaN -> NaN -ddmul635 multiply 1 NaN -> NaN -ddmul636 multiply 1000 NaN -> NaN -ddmul637 multiply Inf NaN -> NaN - -ddmul641 multiply sNaN -Inf -> NaN Invalid_operation -ddmul642 multiply sNaN -1000 -> NaN Invalid_operation -ddmul643 multiply sNaN -1 -> NaN Invalid_operation -ddmul644 multiply sNaN -0 -> NaN Invalid_operation -ddmul645 multiply sNaN 0 -> NaN Invalid_operation -ddmul646 multiply sNaN 1 -> NaN Invalid_operation -ddmul647 multiply sNaN 1000 -> NaN Invalid_operation -ddmul648 multiply sNaN NaN -> NaN Invalid_operation -ddmul649 multiply sNaN sNaN -> NaN Invalid_operation -ddmul650 multiply NaN sNaN -> NaN Invalid_operation -ddmul651 multiply -Inf sNaN -> NaN Invalid_operation -ddmul652 multiply -1000 sNaN -> NaN Invalid_operation -ddmul653 multiply -1 sNaN -> NaN Invalid_operation -ddmul654 multiply -0 sNaN -> NaN Invalid_operation -ddmul655 multiply 0 sNaN -> NaN Invalid_operation -ddmul656 multiply 1 sNaN -> NaN Invalid_operation -ddmul657 multiply 1000 sNaN -> NaN Invalid_operation -ddmul658 multiply Inf sNaN -> NaN Invalid_operation -ddmul659 multiply NaN sNaN -> NaN Invalid_operation - --- propagating NaNs -ddmul661 multiply NaN9 -Inf -> NaN9 -ddmul662 multiply NaN8 999 -> NaN8 -ddmul663 multiply NaN71 Inf -> NaN71 -ddmul664 multiply NaN6 NaN5 -> NaN6 -ddmul665 multiply -Inf NaN4 -> NaN4 -ddmul666 multiply -999 NaN33 -> NaN33 -ddmul667 multiply Inf NaN2 -> NaN2 - -ddmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation -ddmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation -ddmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation -ddmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation -ddmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation -ddmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation -ddmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation -ddmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation -ddmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation - -ddmul681 multiply -NaN9 -Inf -> -NaN9 -ddmul682 multiply -NaN8 999 -> -NaN8 -ddmul683 multiply -NaN71 Inf -> -NaN71 -ddmul684 multiply -NaN6 -NaN5 -> -NaN6 -ddmul685 multiply -Inf -NaN4 -> -NaN4 -ddmul686 multiply -999 -NaN33 -> -NaN33 -ddmul687 multiply Inf -NaN2 -> -NaN2 - -ddmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation -ddmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation -ddmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation -ddmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation -ddmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation -ddmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation -ddmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation -ddmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation -ddmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation - -ddmul701 multiply -NaN -Inf -> -NaN -ddmul702 multiply -NaN 999 -> -NaN -ddmul703 multiply -NaN Inf -> -NaN -ddmul704 multiply -NaN -NaN -> -NaN -ddmul705 multiply -Inf -NaN0 -> -NaN -ddmul706 multiply -999 -NaN -> -NaN -ddmul707 multiply Inf -NaN -> -NaN - -ddmul711 multiply -sNaN -Inf -> -NaN Invalid_operation -ddmul712 multiply -sNaN -11 -> -NaN Invalid_operation -ddmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation -ddmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation -ddmul715 multiply -NaN -sNaN -> -NaN Invalid_operation -ddmul716 multiply -Inf -sNaN -> -NaN Invalid_operation -ddmul717 multiply 088 -sNaN -> -NaN Invalid_operation -ddmul718 multiply Inf -sNaN -> -NaN Invalid_operation -ddmul719 multiply -NaN -sNaN -> -NaN Invalid_operation - --- overflow and underflow tests .. note subnormal results --- signs -ddmul751 multiply 1e+277 1e+311 -> Infinity Overflow Inexact Rounded -ddmul752 multiply 1e+277 -1e+311 -> -Infinity Overflow Inexact Rounded -ddmul753 multiply -1e+277 1e+311 -> -Infinity Overflow Inexact Rounded -ddmul754 multiply -1e+277 -1e+311 -> Infinity Overflow Inexact Rounded -ddmul755 multiply 1e-277 1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul756 multiply 1e-277 -1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul757 multiply -1e-277 1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul758 multiply -1e-277 -1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped - --- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) -ddmul760 multiply 1e-291 1e-101 -> 1E-392 Subnormal -ddmul761 multiply 1e-291 1e-102 -> 1E-393 Subnormal -ddmul762 multiply 1e-291 1e-103 -> 1E-394 Subnormal -ddmul763 multiply 1e-291 1e-104 -> 1E-395 Subnormal -ddmul764 multiply 1e-291 1e-105 -> 1E-396 Subnormal -ddmul765 multiply 1e-291 1e-106 -> 1E-397 Subnormal -ddmul766 multiply 1e-291 1e-107 -> 1E-398 Subnormal -ddmul767 multiply 1e-291 1e-108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul768 multiply 1e-291 1e-109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul769 multiply 1e-291 1e-110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped --- [no equivalent of 'subnormal' for overflow] -ddmul770 multiply 1e+60 1e+321 -> 1.000000000000E+381 Clamped -ddmul771 multiply 1e+60 1e+322 -> 1.0000000000000E+382 Clamped -ddmul772 multiply 1e+60 1e+323 -> 1.00000000000000E+383 Clamped -ddmul773 multiply 1e+60 1e+324 -> 1.000000000000000E+384 Clamped -ddmul774 multiply 1e+60 1e+325 -> Infinity Overflow Inexact Rounded -ddmul775 multiply 1e+60 1e+326 -> Infinity Overflow Inexact Rounded -ddmul776 multiply 1e+60 1e+327 -> Infinity Overflow Inexact Rounded -ddmul777 multiply 1e+60 1e+328 -> Infinity Overflow Inexact Rounded -ddmul778 multiply 1e+60 1e+329 -> Infinity Overflow Inexact Rounded -ddmul779 multiply 1e+60 1e+330 -> Infinity Overflow Inexact Rounded - -ddmul801 multiply 1.0000E-394 1 -> 1.0000E-394 Subnormal -ddmul802 multiply 1.000E-394 1e-1 -> 1.000E-395 Subnormal -ddmul803 multiply 1.00E-394 1e-2 -> 1.00E-396 Subnormal -ddmul804 multiply 1.0E-394 1e-3 -> 1.0E-397 Subnormal -ddmul805 multiply 1.0E-394 1e-4 -> 1E-398 Subnormal Rounded -ddmul806 multiply 1.3E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded -ddmul807 multiply 1.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul808 multiply 1.7E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul809 multiply 2.3E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul810 multiply 2.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul811 multiply 2.7E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded -ddmul812 multiply 1.49E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded -ddmul813 multiply 1.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul814 multiply 1.51E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul815 multiply 2.49E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul816 multiply 2.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded -ddmul817 multiply 2.51E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded - -ddmul818 multiply 1E-394 1e-4 -> 1E-398 Subnormal -ddmul819 multiply 3E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul820 multiply 5E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul821 multiply 7E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded -ddmul822 multiply 9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded -ddmul823 multiply 9.9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded - -ddmul824 multiply 1E-394 -1e-4 -> -1E-398 Subnormal -ddmul825 multiply 3E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul826 multiply -5E-394 1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul827 multiply 7E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded -ddmul828 multiply -9E-394 1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded -ddmul829 multiply 9.9E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded -ddmul830 multiply 3.0E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped - -ddmul831 multiply 1.0E-199 1e-200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped -ddmul832 multiply 1.0E-199 1e-199 -> 1E-398 Subnormal Rounded -ddmul833 multiply 1.0E-199 1e-198 -> 1.0E-397 Subnormal -ddmul834 multiply 2.0E-199 2e-198 -> 4.0E-397 Subnormal -ddmul835 multiply 4.0E-199 4e-198 -> 1.60E-396 Subnormal -ddmul836 multiply 10.0E-199 10e-198 -> 1.000E-395 Subnormal -ddmul837 multiply 30.0E-199 30e-198 -> 9.000E-395 Subnormal -ddmul838 multiply 40.0E-199 40e-188 -> 1.6000E-384 Subnormal -ddmul839 multiply 40.0E-199 40e-187 -> 1.6000E-383 -ddmul840 multiply 40.0E-199 40e-186 -> 1.6000E-382 - --- Long operand overflow may be a different path -ddmul870 multiply 100 9.999E+383 -> Infinity Inexact Overflow Rounded -ddmul871 multiply 100 -9.999E+383 -> -Infinity Inexact Overflow Rounded -ddmul872 multiply 9.999E+383 100 -> Infinity Inexact Overflow Rounded -ddmul873 multiply -9.999E+383 100 -> -Infinity Inexact Overflow Rounded - --- check for double-rounded subnormals -ddmul881 multiply 1.2347E-355 1.2347E-40 -> 1.524E-395 Inexact Rounded Subnormal Underflow -ddmul882 multiply 1.234E-355 1.234E-40 -> 1.523E-395 Inexact Rounded Subnormal Underflow -ddmul883 multiply 1.23E-355 1.23E-40 -> 1.513E-395 Inexact Rounded Subnormal Underflow -ddmul884 multiply 1.2E-355 1.2E-40 -> 1.44E-395 Subnormal -ddmul885 multiply 1.2E-355 1.2E-41 -> 1.44E-396 Subnormal -ddmul886 multiply 1.2E-355 1.2E-42 -> 1.4E-397 Subnormal Inexact Rounded Underflow -ddmul887 multiply 1.2E-355 1.3E-42 -> 1.6E-397 Subnormal Inexact Rounded Underflow -ddmul888 multiply 1.3E-355 1.3E-42 -> 1.7E-397 Subnormal Inexact Rounded Underflow -ddmul889 multiply 1.3E-355 1.3E-43 -> 2E-398 Subnormal Inexact Rounded Underflow -ddmul890 multiply 1.3E-356 1.3E-43 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow - -ddmul891 multiply 1.2345E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow -ddmul892 multiply 1.23456E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow -ddmul893 multiply 1.2345E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow -ddmul894 multiply 1.23456E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow -ddmul895 multiply 1.2345E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow -ddmul896 multiply 1.23456E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow - --- Now explore the case where we get a normal result with Underflow --- 1 234567890123456 -ddmul900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded -ddmul901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded -ddmul902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded -ddmul903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded -ddmul904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded -ddmul905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded --- The next rounds to Nmin (b**emin); this is the distinguishing case --- for detecting tininess (before or after rounding) -- if after --- rounding then the result would be the same, but the Underflow flag --- would not be set -ddmul906 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded --- prove those operands were exact -ddmul907 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383 -ddmul908 multiply 1 0.09999999999999999 -> 0.09999999999999999 - --- reducing tiniest -ddmul910 multiply 1e-398 0.99 -> 1E-398 Subnormal Inexact Rounded Underflow -ddmul911 multiply 1e-398 0.75 -> 1E-398 Subnormal Inexact Rounded Underflow -ddmul912 multiply 1e-398 0.5 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -ddmul913 multiply 1e-398 0.25 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -ddmul914 multiply 1e-398 0.01 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped - --- hugest -ddmul920 multiply 9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded - --- power-of-ten edge cases -ddmul1001 multiply 1 10 -> 10 -ddmul1002 multiply 1 100 -> 100 -ddmul1003 multiply 1 1000 -> 1000 -ddmul1004 multiply 1 10000 -> 10000 -ddmul1005 multiply 1 100000 -> 100000 -ddmul1006 multiply 1 1000000 -> 1000000 -ddmul1007 multiply 1 10000000 -> 10000000 -ddmul1008 multiply 1 100000000 -> 100000000 -ddmul1009 multiply 1 1000000000 -> 1000000000 -ddmul1010 multiply 1 10000000000 -> 10000000000 -ddmul1011 multiply 1 100000000000 -> 100000000000 -ddmul1012 multiply 1 1000000000000 -> 1000000000000 -ddmul1013 multiply 1 10000000000000 -> 10000000000000 -ddmul1014 multiply 1 100000000000000 -> 100000000000000 -ddmul1015 multiply 1 1000000000000000 -> 1000000000000000 -ddmul1021 multiply 10 1 -> 10 -ddmul1022 multiply 10 10 -> 100 -ddmul1023 multiply 10 100 -> 1000 -ddmul1024 multiply 10 1000 -> 10000 -ddmul1025 multiply 10 10000 -> 100000 -ddmul1026 multiply 10 100000 -> 1000000 -ddmul1027 multiply 10 1000000 -> 10000000 -ddmul1028 multiply 10 10000000 -> 100000000 -ddmul1029 multiply 10 100000000 -> 1000000000 -ddmul1030 multiply 10 1000000000 -> 10000000000 -ddmul1031 multiply 10 10000000000 -> 100000000000 -ddmul1032 multiply 10 100000000000 -> 1000000000000 -ddmul1033 multiply 10 1000000000000 -> 10000000000000 -ddmul1034 multiply 10 10000000000000 -> 100000000000000 -ddmul1035 multiply 10 100000000000000 -> 1000000000000000 -ddmul1041 multiply 100 0.1 -> 10.0 -ddmul1042 multiply 100 1 -> 100 -ddmul1043 multiply 100 10 -> 1000 -ddmul1044 multiply 100 100 -> 10000 -ddmul1045 multiply 100 1000 -> 100000 -ddmul1046 multiply 100 10000 -> 1000000 -ddmul1047 multiply 100 100000 -> 10000000 -ddmul1048 multiply 100 1000000 -> 100000000 -ddmul1049 multiply 100 10000000 -> 1000000000 -ddmul1050 multiply 100 100000000 -> 10000000000 -ddmul1051 multiply 100 1000000000 -> 100000000000 -ddmul1052 multiply 100 10000000000 -> 1000000000000 -ddmul1053 multiply 100 100000000000 -> 10000000000000 -ddmul1054 multiply 100 1000000000000 -> 100000000000000 -ddmul1055 multiply 100 10000000000000 -> 1000000000000000 -ddmul1061 multiply 1000 0.01 -> 10.00 -ddmul1062 multiply 1000 0.1 -> 100.0 -ddmul1063 multiply 1000 1 -> 1000 -ddmul1064 multiply 1000 10 -> 10000 -ddmul1065 multiply 1000 100 -> 100000 -ddmul1066 multiply 1000 1000 -> 1000000 -ddmul1067 multiply 1000 10000 -> 10000000 -ddmul1068 multiply 1000 100000 -> 100000000 -ddmul1069 multiply 1000 1000000 -> 1000000000 -ddmul1070 multiply 1000 10000000 -> 10000000000 -ddmul1071 multiply 1000 100000000 -> 100000000000 -ddmul1072 multiply 1000 1000000000 -> 1000000000000 -ddmul1073 multiply 1000 10000000000 -> 10000000000000 -ddmul1074 multiply 1000 100000000000 -> 100000000000000 -ddmul1075 multiply 1000 1000000000000 -> 1000000000000000 -ddmul1081 multiply 10000 0.001 -> 10.000 -ddmul1082 multiply 10000 0.01 -> 100.00 -ddmul1083 multiply 10000 0.1 -> 1000.0 -ddmul1084 multiply 10000 1 -> 10000 -ddmul1085 multiply 10000 10 -> 100000 -ddmul1086 multiply 10000 100 -> 1000000 -ddmul1087 multiply 10000 1000 -> 10000000 -ddmul1088 multiply 10000 10000 -> 100000000 -ddmul1089 multiply 10000 100000 -> 1000000000 -ddmul1090 multiply 10000 1000000 -> 10000000000 -ddmul1091 multiply 10000 10000000 -> 100000000000 -ddmul1092 multiply 10000 100000000 -> 1000000000000 -ddmul1093 multiply 10000 1000000000 -> 10000000000000 -ddmul1094 multiply 10000 10000000000 -> 100000000000000 -ddmul1095 multiply 10000 100000000000 -> 1000000000000000 - -ddmul1097 multiply 10000 99999999999 -> 999999999990000 -ddmul1098 multiply 10000 99999999999 -> 999999999990000 - - --- Null tests -ddmul9990 multiply 10 # -> NaN Invalid_operation -ddmul9991 multiply # 10 -> NaN Invalid_operation - +------------------------------------------------------------------------
+-- ddMultiply.decTest -- decDouble multiplication --
+-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
+------------------------------------------------------------------------
+-- Please see the document "General Decimal Arithmetic Testcases" --
+-- at http://www2.hursley.ibm.com/decimal for the description of --
+-- these testcases. --
+-- --
+-- These testcases are experimental ('beta' versions), and they --
+-- may contain errors. They are offered on an as-is basis. In --
+-- particular, achieving the same results as the tests here is not --
+-- a guarantee that an implementation complies with any Standard --
+-- or specification. The tests are not exhaustive. --
+-- --
+-- Please send comments, suggestions, and corrections to the author: --
+-- Mike Cowlishaw, IBM Fellow --
+-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
+-- mfc@uk.ibm.com --
+------------------------------------------------------------------------
+version: 2.59
+
+-- This set of tests are for decDoubles only; all arguments are
+-- representable in a decDouble
+precision: 16
+maxExponent: 384
+minExponent: -383
+extended: 1
+clamp: 1
+rounding: half_even
+
+-- sanity checks
+ddmul000 multiply 2 2 -> 4
+ddmul001 multiply 2 3 -> 6
+ddmul002 multiply 5 1 -> 5
+ddmul003 multiply 5 2 -> 10
+ddmul004 multiply 1.20 2 -> 2.40
+ddmul005 multiply 1.20 0 -> 0.00
+ddmul006 multiply 1.20 -2 -> -2.40
+ddmul007 multiply -1.20 2 -> -2.40
+ddmul008 multiply -1.20 0 -> -0.00
+ddmul009 multiply -1.20 -2 -> 2.40
+ddmul010 multiply 5.09 7.1 -> 36.139
+ddmul011 multiply 2.5 4 -> 10.0
+ddmul012 multiply 2.50 4 -> 10.00
+ddmul013 multiply 1.23456789 1.00000000 -> 1.234567890000000 Rounded
+ddmul015 multiply 2.50 4 -> 10.00
+ddmul016 multiply 9.999999999 9.999999999 -> 99.99999998000000 Inexact Rounded
+ddmul017 multiply 9.999999999 -9.999999999 -> -99.99999998000000 Inexact Rounded
+ddmul018 multiply -9.999999999 9.999999999 -> -99.99999998000000 Inexact Rounded
+ddmul019 multiply -9.999999999 -9.999999999 -> 99.99999998000000 Inexact Rounded
+
+-- zeros, etc.
+ddmul021 multiply 0 0 -> 0
+ddmul022 multiply 0 -0 -> -0
+ddmul023 multiply -0 0 -> -0
+ddmul024 multiply -0 -0 -> 0
+ddmul025 multiply -0.0 -0.0 -> 0.00
+ddmul026 multiply -0.0 -0.0 -> 0.00
+ddmul027 multiply -0.0 -0.0 -> 0.00
+ddmul028 multiply -0.0 -0.0 -> 0.00
+ddmul030 multiply 5.00 1E-3 -> 0.00500
+ddmul031 multiply 00.00 0.000 -> 0.00000
+ddmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
+ddmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
+ddmul034 multiply -5.00 1E-3 -> -0.00500
+ddmul035 multiply -00.00 0.000 -> -0.00000
+ddmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
+ddmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
+ddmul038 multiply 5.00 -1E-3 -> -0.00500
+ddmul039 multiply 00.00 -0.000 -> -0.00000
+ddmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
+ddmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
+ddmul042 multiply -5.00 -1E-3 -> 0.00500
+ddmul043 multiply -00.00 -0.000 -> 0.00000
+ddmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
+ddmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
+
+-- examples from decarith
+ddmul050 multiply 1.20 3 -> 3.60
+ddmul051 multiply 7 3 -> 21
+ddmul052 multiply 0.9 0.8 -> 0.72
+ddmul053 multiply 0.9 -0 -> -0.0
+ddmul054 multiply 654321 654321 -> 428135971041
+
+ddmul060 multiply 123.45 1e7 -> 1.2345E+9
+ddmul061 multiply 123.45 1e8 -> 1.2345E+10
+ddmul062 multiply 123.45 1e+9 -> 1.2345E+11
+ddmul063 multiply 123.45 1e10 -> 1.2345E+12
+ddmul064 multiply 123.45 1e11 -> 1.2345E+13
+ddmul065 multiply 123.45 1e12 -> 1.2345E+14
+ddmul066 multiply 123.45 1e13 -> 1.2345E+15
+
+
+-- test some intermediate lengths
+-- 1234567890123456
+ddmul080 multiply 0.1 1230123456456789 -> 123012345645678.9
+ddmul084 multiply 0.1 1230123456456789 -> 123012345645678.9
+ddmul090 multiply 1230123456456789 0.1 -> 123012345645678.9
+ddmul094 multiply 1230123456456789 0.1 -> 123012345645678.9
+
+-- test some more edge cases and carries
+ddmul101 multiply 9 9 -> 81
+ddmul102 multiply 9 90 -> 810
+ddmul103 multiply 9 900 -> 8100
+ddmul104 multiply 9 9000 -> 81000
+ddmul105 multiply 9 90000 -> 810000
+ddmul106 multiply 9 900000 -> 8100000
+ddmul107 multiply 9 9000000 -> 81000000
+ddmul108 multiply 9 90000000 -> 810000000
+ddmul109 multiply 9 900000000 -> 8100000000
+ddmul110 multiply 9 9000000000 -> 81000000000
+ddmul111 multiply 9 90000000000 -> 810000000000
+ddmul112 multiply 9 900000000000 -> 8100000000000
+ddmul113 multiply 9 9000000000000 -> 81000000000000
+ddmul114 multiply 9 90000000000000 -> 810000000000000
+ddmul115 multiply 9 900000000000000 -> 8100000000000000
+--ddmul116 multiply 9 9000000000000000 -> 81000000000000000
+--ddmul117 multiply 9 90000000000000000 -> 810000000000000000
+--ddmul118 multiply 9 900000000000000000 -> 8100000000000000000
+--ddmul119 multiply 9 9000000000000000000 -> 81000000000000000000
+--ddmul120 multiply 9 90000000000000000000 -> 810000000000000000000
+--ddmul121 multiply 9 900000000000000000000 -> 8100000000000000000000
+--ddmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000
+--ddmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000
+-- test some more edge cases without carries
+ddmul131 multiply 3 3 -> 9
+ddmul132 multiply 3 30 -> 90
+ddmul133 multiply 3 300 -> 900
+ddmul134 multiply 3 3000 -> 9000
+ddmul135 multiply 3 30000 -> 90000
+ddmul136 multiply 3 300000 -> 900000
+ddmul137 multiply 3 3000000 -> 9000000
+ddmul138 multiply 3 30000000 -> 90000000
+ddmul139 multiply 3 300000000 -> 900000000
+ddmul140 multiply 3 3000000000 -> 9000000000
+ddmul141 multiply 3 30000000000 -> 90000000000
+ddmul142 multiply 3 300000000000 -> 900000000000
+ddmul143 multiply 3 3000000000000 -> 9000000000000
+ddmul144 multiply 3 30000000000000 -> 90000000000000
+ddmul145 multiply 3 300000000000000 -> 900000000000000
+
+-- test some edge cases with exact rounding
+ddmul301 multiply 9 9 -> 81
+ddmul302 multiply 9 90 -> 810
+ddmul303 multiply 9 900 -> 8100
+ddmul304 multiply 9 9000 -> 81000
+ddmul305 multiply 9 90000 -> 810000
+ddmul306 multiply 9 900000 -> 8100000
+ddmul307 multiply 9 9000000 -> 81000000
+ddmul308 multiply 9 90000000 -> 810000000
+ddmul309 multiply 9 900000000 -> 8100000000
+ddmul310 multiply 9 9000000000 -> 81000000000
+ddmul311 multiply 9 90000000000 -> 810000000000
+ddmul312 multiply 9 900000000000 -> 8100000000000
+ddmul313 multiply 9 9000000000000 -> 81000000000000
+ddmul314 multiply 9 90000000000000 -> 810000000000000
+ddmul315 multiply 9 900000000000000 -> 8100000000000000
+ddmul316 multiply 9 9000000000000000 -> 8.100000000000000E+16 Rounded
+ddmul317 multiply 90 9000000000000000 -> 8.100000000000000E+17 Rounded
+ddmul318 multiply 900 9000000000000000 -> 8.100000000000000E+18 Rounded
+ddmul319 multiply 9000 9000000000000000 -> 8.100000000000000E+19 Rounded
+ddmul320 multiply 90000 9000000000000000 -> 8.100000000000000E+20 Rounded
+ddmul321 multiply 900000 9000000000000000 -> 8.100000000000000E+21 Rounded
+ddmul322 multiply 9000000 9000000000000000 -> 8.100000000000000E+22 Rounded
+ddmul323 multiply 90000000 9000000000000000 -> 8.100000000000000E+23 Rounded
+
+-- tryzeros cases
+ddmul504 multiply 0E-260 1000E-260 -> 0E-398 Clamped
+ddmul505 multiply 100E+260 0E+260 -> 0E+369 Clamped
+-- 65K-1 case
+ddmul506 multiply 77.1 850 -> 65535.0
+
+-- mixed with zeros
+ddmul541 multiply 0 -1 -> -0
+ddmul542 multiply -0 -1 -> 0
+ddmul543 multiply 0 1 -> 0
+ddmul544 multiply -0 1 -> -0
+ddmul545 multiply -1 0 -> -0
+ddmul546 multiply -1 -0 -> 0
+ddmul547 multiply 1 0 -> 0
+ddmul548 multiply 1 -0 -> -0
+
+ddmul551 multiply 0.0 -1 -> -0.0
+ddmul552 multiply -0.0 -1 -> 0.0
+ddmul553 multiply 0.0 1 -> 0.0
+ddmul554 multiply -0.0 1 -> -0.0
+ddmul555 multiply -1.0 0 -> -0.0
+ddmul556 multiply -1.0 -0 -> 0.0
+ddmul557 multiply 1.0 0 -> 0.0
+ddmul558 multiply 1.0 -0 -> -0.0
+
+ddmul561 multiply 0 -1.0 -> -0.0
+ddmul562 multiply -0 -1.0 -> 0.0
+ddmul563 multiply 0 1.0 -> 0.0
+ddmul564 multiply -0 1.0 -> -0.0
+ddmul565 multiply -1 0.0 -> -0.0
+ddmul566 multiply -1 -0.0 -> 0.0
+ddmul567 multiply 1 0.0 -> 0.0
+ddmul568 multiply 1 -0.0 -> -0.0
+
+ddmul571 multiply 0.0 -1.0 -> -0.00
+ddmul572 multiply -0.0 -1.0 -> 0.00
+ddmul573 multiply 0.0 1.0 -> 0.00
+ddmul574 multiply -0.0 1.0 -> -0.00
+ddmul575 multiply -1.0 0.0 -> -0.00
+ddmul576 multiply -1.0 -0.0 -> 0.00
+ddmul577 multiply 1.0 0.0 -> 0.00
+ddmul578 multiply 1.0 -0.0 -> -0.00
+
+
+-- Specials
+ddmul580 multiply Inf -Inf -> -Infinity
+ddmul581 multiply Inf -1000 -> -Infinity
+ddmul582 multiply Inf -1 -> -Infinity
+ddmul583 multiply Inf -0 -> NaN Invalid_operation
+ddmul584 multiply Inf 0 -> NaN Invalid_operation
+ddmul585 multiply Inf 1 -> Infinity
+ddmul586 multiply Inf 1000 -> Infinity
+ddmul587 multiply Inf Inf -> Infinity
+ddmul588 multiply -1000 Inf -> -Infinity
+ddmul589 multiply -Inf Inf -> -Infinity
+ddmul590 multiply -1 Inf -> -Infinity
+ddmul591 multiply -0 Inf -> NaN Invalid_operation
+ddmul592 multiply 0 Inf -> NaN Invalid_operation
+ddmul593 multiply 1 Inf -> Infinity
+ddmul594 multiply 1000 Inf -> Infinity
+ddmul595 multiply Inf Inf -> Infinity
+
+ddmul600 multiply -Inf -Inf -> Infinity
+ddmul601 multiply -Inf -1000 -> Infinity
+ddmul602 multiply -Inf -1 -> Infinity
+ddmul603 multiply -Inf -0 -> NaN Invalid_operation
+ddmul604 multiply -Inf 0 -> NaN Invalid_operation
+ddmul605 multiply -Inf 1 -> -Infinity
+ddmul606 multiply -Inf 1000 -> -Infinity
+ddmul607 multiply -Inf Inf -> -Infinity
+ddmul608 multiply -1000 Inf -> -Infinity
+ddmul609 multiply -Inf -Inf -> Infinity
+ddmul610 multiply -1 -Inf -> Infinity
+ddmul611 multiply -0 -Inf -> NaN Invalid_operation
+ddmul612 multiply 0 -Inf -> NaN Invalid_operation
+ddmul613 multiply 1 -Inf -> -Infinity
+ddmul614 multiply 1000 -Inf -> -Infinity
+ddmul615 multiply Inf -Inf -> -Infinity
+
+ddmul621 multiply NaN -Inf -> NaN
+ddmul622 multiply NaN -1000 -> NaN
+ddmul623 multiply NaN -1 -> NaN
+ddmul624 multiply NaN -0 -> NaN
+ddmul625 multiply NaN 0 -> NaN
+ddmul626 multiply NaN 1 -> NaN
+ddmul627 multiply NaN 1000 -> NaN
+ddmul628 multiply NaN Inf -> NaN
+ddmul629 multiply NaN NaN -> NaN
+ddmul630 multiply -Inf NaN -> NaN
+ddmul631 multiply -1000 NaN -> NaN
+ddmul632 multiply -1 NaN -> NaN
+ddmul633 multiply -0 NaN -> NaN
+ddmul634 multiply 0 NaN -> NaN
+ddmul635 multiply 1 NaN -> NaN
+ddmul636 multiply 1000 NaN -> NaN
+ddmul637 multiply Inf NaN -> NaN
+
+ddmul641 multiply sNaN -Inf -> NaN Invalid_operation
+ddmul642 multiply sNaN -1000 -> NaN Invalid_operation
+ddmul643 multiply sNaN -1 -> NaN Invalid_operation
+ddmul644 multiply sNaN -0 -> NaN Invalid_operation
+ddmul645 multiply sNaN 0 -> NaN Invalid_operation
+ddmul646 multiply sNaN 1 -> NaN Invalid_operation
+ddmul647 multiply sNaN 1000 -> NaN Invalid_operation
+ddmul648 multiply sNaN NaN -> NaN Invalid_operation
+ddmul649 multiply sNaN sNaN -> NaN Invalid_operation
+ddmul650 multiply NaN sNaN -> NaN Invalid_operation
+ddmul651 multiply -Inf sNaN -> NaN Invalid_operation
+ddmul652 multiply -1000 sNaN -> NaN Invalid_operation
+ddmul653 multiply -1 sNaN -> NaN Invalid_operation
+ddmul654 multiply -0 sNaN -> NaN Invalid_operation
+ddmul655 multiply 0 sNaN -> NaN Invalid_operation
+ddmul656 multiply 1 sNaN -> NaN Invalid_operation
+ddmul657 multiply 1000 sNaN -> NaN Invalid_operation
+ddmul658 multiply Inf sNaN -> NaN Invalid_operation
+ddmul659 multiply NaN sNaN -> NaN Invalid_operation
+
+-- propagating NaNs
+ddmul661 multiply NaN9 -Inf -> NaN9
+ddmul662 multiply NaN8 999 -> NaN8
+ddmul663 multiply NaN71 Inf -> NaN71
+ddmul664 multiply NaN6 NaN5 -> NaN6
+ddmul665 multiply -Inf NaN4 -> NaN4
+ddmul666 multiply -999 NaN33 -> NaN33
+ddmul667 multiply Inf NaN2 -> NaN2
+
+ddmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation
+ddmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation
+ddmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation
+ddmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation
+ddmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation
+ddmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation
+ddmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation
+ddmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation
+ddmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation
+
+ddmul681 multiply -NaN9 -Inf -> -NaN9
+ddmul682 multiply -NaN8 999 -> -NaN8
+ddmul683 multiply -NaN71 Inf -> -NaN71
+ddmul684 multiply -NaN6 -NaN5 -> -NaN6
+ddmul685 multiply -Inf -NaN4 -> -NaN4
+ddmul686 multiply -999 -NaN33 -> -NaN33
+ddmul687 multiply Inf -NaN2 -> -NaN2
+
+ddmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation
+ddmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation
+ddmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation
+ddmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
+ddmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation
+ddmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation
+ddmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation
+ddmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation
+ddmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation
+
+ddmul701 multiply -NaN -Inf -> -NaN
+ddmul702 multiply -NaN 999 -> -NaN
+ddmul703 multiply -NaN Inf -> -NaN
+ddmul704 multiply -NaN -NaN -> -NaN
+ddmul705 multiply -Inf -NaN0 -> -NaN
+ddmul706 multiply -999 -NaN -> -NaN
+ddmul707 multiply Inf -NaN -> -NaN
+
+ddmul711 multiply -sNaN -Inf -> -NaN Invalid_operation
+ddmul712 multiply -sNaN -11 -> -NaN Invalid_operation
+ddmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation
+ddmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation
+ddmul715 multiply -NaN -sNaN -> -NaN Invalid_operation
+ddmul716 multiply -Inf -sNaN -> -NaN Invalid_operation
+ddmul717 multiply 088 -sNaN -> -NaN Invalid_operation
+ddmul718 multiply Inf -sNaN -> -NaN Invalid_operation
+ddmul719 multiply -NaN -sNaN -> -NaN Invalid_operation
+
+-- overflow and underflow tests .. note subnormal results
+-- signs
+ddmul751 multiply 1e+277 1e+311 -> Infinity Overflow Inexact Rounded
+ddmul752 multiply 1e+277 -1e+311 -> -Infinity Overflow Inexact Rounded
+ddmul753 multiply -1e+277 1e+311 -> -Infinity Overflow Inexact Rounded
+ddmul754 multiply -1e+277 -1e+311 -> Infinity Overflow Inexact Rounded
+ddmul755 multiply 1e-277 1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul756 multiply 1e-277 -1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul757 multiply -1e-277 1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul758 multiply -1e-277 -1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+
+-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
+ddmul760 multiply 1e-291 1e-101 -> 1E-392 Subnormal
+ddmul761 multiply 1e-291 1e-102 -> 1E-393 Subnormal
+ddmul762 multiply 1e-291 1e-103 -> 1E-394 Subnormal
+ddmul763 multiply 1e-291 1e-104 -> 1E-395 Subnormal
+ddmul764 multiply 1e-291 1e-105 -> 1E-396 Subnormal
+ddmul765 multiply 1e-291 1e-106 -> 1E-397 Subnormal
+ddmul766 multiply 1e-291 1e-107 -> 1E-398 Subnormal
+ddmul767 multiply 1e-291 1e-108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul768 multiply 1e-291 1e-109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul769 multiply 1e-291 1e-110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+-- [no equivalent of 'subnormal' for overflow]
+ddmul770 multiply 1e+60 1e+321 -> 1.000000000000E+381 Clamped
+ddmul771 multiply 1e+60 1e+322 -> 1.0000000000000E+382 Clamped
+ddmul772 multiply 1e+60 1e+323 -> 1.00000000000000E+383 Clamped
+ddmul773 multiply 1e+60 1e+324 -> 1.000000000000000E+384 Clamped
+ddmul774 multiply 1e+60 1e+325 -> Infinity Overflow Inexact Rounded
+ddmul775 multiply 1e+60 1e+326 -> Infinity Overflow Inexact Rounded
+ddmul776 multiply 1e+60 1e+327 -> Infinity Overflow Inexact Rounded
+ddmul777 multiply 1e+60 1e+328 -> Infinity Overflow Inexact Rounded
+ddmul778 multiply 1e+60 1e+329 -> Infinity Overflow Inexact Rounded
+ddmul779 multiply 1e+60 1e+330 -> Infinity Overflow Inexact Rounded
+
+ddmul801 multiply 1.0000E-394 1 -> 1.0000E-394 Subnormal
+ddmul802 multiply 1.000E-394 1e-1 -> 1.000E-395 Subnormal
+ddmul803 multiply 1.00E-394 1e-2 -> 1.00E-396 Subnormal
+ddmul804 multiply 1.0E-394 1e-3 -> 1.0E-397 Subnormal
+ddmul805 multiply 1.0E-394 1e-4 -> 1E-398 Subnormal Rounded
+ddmul806 multiply 1.3E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded
+ddmul807 multiply 1.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul808 multiply 1.7E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul809 multiply 2.3E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul810 multiply 2.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul811 multiply 2.7E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded
+ddmul812 multiply 1.49E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded
+ddmul813 multiply 1.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul814 multiply 1.51E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul815 multiply 2.49E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul816 multiply 2.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
+ddmul817 multiply 2.51E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded
+
+ddmul818 multiply 1E-394 1e-4 -> 1E-398 Subnormal
+ddmul819 multiply 3E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul820 multiply 5E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul821 multiply 7E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded
+ddmul822 multiply 9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded
+ddmul823 multiply 9.9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded
+
+ddmul824 multiply 1E-394 -1e-4 -> -1E-398 Subnormal
+ddmul825 multiply 3E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul826 multiply -5E-394 1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul827 multiply 7E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded
+ddmul828 multiply -9E-394 1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded
+ddmul829 multiply 9.9E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded
+ddmul830 multiply 3.0E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
+
+ddmul831 multiply 1.0E-199 1e-200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
+ddmul832 multiply 1.0E-199 1e-199 -> 1E-398 Subnormal Rounded
+ddmul833 multiply 1.0E-199 1e-198 -> 1.0E-397 Subnormal
+ddmul834 multiply 2.0E-199 2e-198 -> 4.0E-397 Subnormal
+ddmul835 multiply 4.0E-199 4e-198 -> 1.60E-396 Subnormal
+ddmul836 multiply 10.0E-199 10e-198 -> 1.000E-395 Subnormal
+ddmul837 multiply 30.0E-199 30e-198 -> 9.000E-395 Subnormal
+ddmul838 multiply 40.0E-199 40e-188 -> 1.6000E-384 Subnormal
+ddmul839 multiply 40.0E-199 40e-187 -> 1.6000E-383
+ddmul840 multiply 40.0E-199 40e-186 -> 1.6000E-382
+
+-- Long operand overflow may be a different path
+ddmul870 multiply 100 9.999E+383 -> Infinity Inexact Overflow Rounded
+ddmul871 multiply 100 -9.999E+383 -> -Infinity Inexact Overflow Rounded
+ddmul872 multiply 9.999E+383 100 -> Infinity Inexact Overflow Rounded
+ddmul873 multiply -9.999E+383 100 -> -Infinity Inexact Overflow Rounded
+
+-- check for double-rounded subnormals
+ddmul881 multiply 1.2347E-355 1.2347E-40 -> 1.524E-395 Inexact Rounded Subnormal Underflow
+ddmul882 multiply 1.234E-355 1.234E-40 -> 1.523E-395 Inexact Rounded Subnormal Underflow
+ddmul883 multiply 1.23E-355 1.23E-40 -> 1.513E-395 Inexact Rounded Subnormal Underflow
+ddmul884 multiply 1.2E-355 1.2E-40 -> 1.44E-395 Subnormal
+ddmul885 multiply 1.2E-355 1.2E-41 -> 1.44E-396 Subnormal
+ddmul886 multiply 1.2E-355 1.2E-42 -> 1.4E-397 Subnormal Inexact Rounded Underflow
+ddmul887 multiply 1.2E-355 1.3E-42 -> 1.6E-397 Subnormal Inexact Rounded Underflow
+ddmul888 multiply 1.3E-355 1.3E-42 -> 1.7E-397 Subnormal Inexact Rounded Underflow
+ddmul889 multiply 1.3E-355 1.3E-43 -> 2E-398 Subnormal Inexact Rounded Underflow
+ddmul890 multiply 1.3E-356 1.3E-43 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow
+
+ddmul891 multiply 1.2345E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow
+ddmul892 multiply 1.23456E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow
+ddmul893 multiply 1.2345E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow
+ddmul894 multiply 1.23456E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow
+ddmul895 multiply 1.2345E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow
+ddmul896 multiply 1.23456E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow
+
+-- Now explore the case where we get a normal result with Underflow
+-- 1 234567890123456
+ddmul900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded
+ddmul901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
+ddmul902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
+ddmul903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
+ddmul904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
+ddmul905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
+-- The next rounds to Nmin (b**emin); this is the distinguishing case
+-- for detecting tininess (before or after rounding) -- if after
+-- rounding then the result would be the same, but the Underflow flag
+-- would not be set
+ddmul906 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
+-- prove those operands were exact
+ddmul907 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383
+ddmul908 multiply 1 0.09999999999999999 -> 0.09999999999999999
+
+-- reducing tiniest
+ddmul910 multiply 1e-398 0.99 -> 1E-398 Subnormal Inexact Rounded Underflow
+ddmul911 multiply 1e-398 0.75 -> 1E-398 Subnormal Inexact Rounded Underflow
+ddmul912 multiply 1e-398 0.5 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
+ddmul913 multiply 1e-398 0.25 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
+ddmul914 multiply 1e-398 0.01 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
+
+-- hugest
+ddmul920 multiply 9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded
+
+-- power-of-ten edge cases
+ddmul1001 multiply 1 10 -> 10
+ddmul1002 multiply 1 100 -> 100
+ddmul1003 multiply 1 1000 -> 1000
+ddmul1004 multiply 1 10000 -> 10000
+ddmul1005 multiply 1 100000 -> 100000
+ddmul1006 multiply 1 1000000 -> 1000000
+ddmul1007 multiply 1 10000000 -> 10000000
+ddmul1008 multiply 1 100000000 -> 100000000
+ddmul1009 multiply 1 1000000000 -> 1000000000
+ddmul1010 multiply 1 10000000000 -> 10000000000
+ddmul1011 multiply 1 100000000000 -> 100000000000
+ddmul1012 multiply 1 1000000000000 -> 1000000000000
+ddmul1013 multiply 1 10000000000000 -> 10000000000000
+ddmul1014 multiply 1 100000000000000 -> 100000000000000
+ddmul1015 multiply 1 1000000000000000 -> 1000000000000000
+ddmul1021 multiply 10 1 -> 10
+ddmul1022 multiply 10 10 -> 100
+ddmul1023 multiply 10 100 -> 1000
+ddmul1024 multiply 10 1000 -> 10000
+ddmul1025 multiply 10 10000 -> 100000
+ddmul1026 multiply 10 100000 -> 1000000
+ddmul1027 multiply 10 1000000 -> 10000000
+ddmul1028 multiply 10 10000000 -> 100000000
+ddmul1029 multiply 10 100000000 -> 1000000000
+ddmul1030 multiply 10 1000000000 -> 10000000000
+ddmul1031 multiply 10 10000000000 -> 100000000000
+ddmul1032 multiply 10 100000000000 -> 1000000000000
+ddmul1033 multiply 10 1000000000000 -> 10000000000000
+ddmul1034 multiply 10 10000000000000 -> 100000000000000
+ddmul1035 multiply 10 100000000000000 -> 1000000000000000
+ddmul1041 multiply 100 0.1 -> 10.0
+ddmul1042 multiply 100 1 -> 100
+ddmul1043 multiply 100 10 -> 1000
+ddmul1044 multiply 100 100 -> 10000
+ddmul1045 multiply 100 1000 -> 100000
+ddmul1046 multiply 100 10000 -> 1000000
+ddmul1047 multiply 100 100000 -> 10000000
+ddmul1048 multiply 100 1000000 -> 100000000
+ddmul1049 multiply 100 10000000 -> 1000000000
+ddmul1050 multiply 100 100000000 -> 10000000000
+ddmul1051 multiply 100 1000000000 -> 100000000000
+ddmul1052 multiply 100 10000000000 -> 1000000000000
+ddmul1053 multiply 100 100000000000 -> 10000000000000
+ddmul1054 multiply 100 1000000000000 -> 100000000000000
+ddmul1055 multiply 100 10000000000000 -> 1000000000000000
+ddmul1061 multiply 1000 0.01 -> 10.00
+ddmul1062 multiply 1000 0.1 -> 100.0
+ddmul1063 multiply 1000 1 -> 1000
+ddmul1064 multiply 1000 10 -> 10000
+ddmul1065 multiply 1000 100 -> 100000
+ddmul1066 multiply 1000 1000 -> 1000000
+ddmul1067 multiply 1000 10000 -> 10000000
+ddmul1068 multiply 1000 100000 -> 100000000
+ddmul1069 multiply 1000 1000000 -> 1000000000
+ddmul1070 multiply 1000 10000000 -> 10000000000
+ddmul1071 multiply 1000 100000000 -> 100000000000
+ddmul1072 multiply 1000 1000000000 -> 1000000000000
+ddmul1073 multiply 1000 10000000000 -> 10000000000000
+ddmul1074 multiply 1000 100000000000 -> 100000000000000
+ddmul1075 multiply 1000 1000000000000 -> 1000000000000000
+ddmul1081 multiply 10000 0.001 -> 10.000
+ddmul1082 multiply 10000 0.01 -> 100.00
+ddmul1083 multiply 10000 0.1 -> 1000.0
+ddmul1084 multiply 10000 1 -> 10000
+ddmul1085 multiply 10000 10 -> 100000
+ddmul1086 multiply 10000 100 -> 1000000
+ddmul1087 multiply 10000 1000 -> 10000000
+ddmul1088 multiply 10000 10000 -> 100000000
+ddmul1089 multiply 10000 100000 -> 1000000000
+ddmul1090 multiply 10000 1000000 -> 10000000000
+ddmul1091 multiply 10000 10000000 -> 100000000000
+ddmul1092 multiply 10000 100000000 -> 1000000000000
+ddmul1093 multiply 10000 1000000000 -> 10000000000000
+ddmul1094 multiply 10000 10000000000 -> 100000000000000
+ddmul1095 multiply 10000 100000000000 -> 1000000000000000
+
+ddmul1097 multiply 10000 99999999999 -> 999999999990000
+ddmul1098 multiply 10000 99999999999 -> 999999999990000
+
+
+-- Null tests
+ddmul9990 multiply 10 # -> NaN Invalid_operation
+ddmul9991 multiply # 10 -> NaN Invalid_operation
+
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