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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 45a381dc61..5873f80345 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
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--- 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 + |