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