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✏️ ddMultiply.decTest
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------------------------------------------------------------------------ -- 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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