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|
------------------------------------------------------------------------
-- dqMultiply.decTest -- decQuad multiplication --
-- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.56
-- This set of tests are for decQuads only; all arguments are
-- representable in a decQuad
extended: 1
clamp: 1
precision: 34
maxExponent: 6144
minExponent: -6143
rounding: half_even
-- sanity checks
dqmul000 multiply 2 2 -> 4
dqmul001 multiply 2 3 -> 6
dqmul002 multiply 5 1 -> 5
dqmul003 multiply 5 2 -> 10
dqmul004 multiply 1.20 2 -> 2.40
dqmul005 multiply 1.20 0 -> 0.00
dqmul006 multiply 1.20 -2 -> -2.40
dqmul007 multiply -1.20 2 -> -2.40
dqmul008 multiply -1.20 0 -> -0.00
dqmul009 multiply -1.20 -2 -> 2.40
dqmul010 multiply 5.09 7.1 -> 36.139
dqmul011 multiply 2.5 4 -> 10.0
dqmul012 multiply 2.50 4 -> 10.00
dqmul013 multiply 1.23456789 1.0000000000000000000000000000 -> 1.234567890000000000000000000000000 Rounded
dqmul015 multiply 2.50 4 -> 10.00
dqmul016 multiply 9.99999999999999999 9.99999999999999999 -> 99.99999999999999980000000000000000 Inexact Rounded
dqmul017 multiply 9.99999999999999999 -9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded
dqmul018 multiply -9.99999999999999999 9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded
dqmul019 multiply -9.99999999999999999 -9.99999999999999999 -> 99.99999999999999980000000000000000 Inexact Rounded
-- zeros, etc.
dqmul021 multiply 0 0 -> 0
dqmul022 multiply 0 -0 -> -0
dqmul023 multiply -0 0 -> -0
dqmul024 multiply -0 -0 -> 0
dqmul025 multiply -0.0 -0.0 -> 0.00
dqmul026 multiply -0.0 -0.0 -> 0.00
dqmul027 multiply -0.0 -0.0 -> 0.00
dqmul028 multiply -0.0 -0.0 -> 0.00
dqmul030 multiply 5.00 1E-3 -> 0.00500
dqmul031 multiply 00.00 0.000 -> 0.00000
dqmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
dqmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
dqmul034 multiply -5.00 1E-3 -> -0.00500
dqmul035 multiply -00.00 0.000 -> -0.00000
dqmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
dqmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
dqmul038 multiply 5.00 -1E-3 -> -0.00500
dqmul039 multiply 00.00 -0.000 -> -0.00000
dqmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
dqmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
dqmul042 multiply -5.00 -1E-3 -> 0.00500
dqmul043 multiply -00.00 -0.000 -> 0.00000
dqmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
dqmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
-- examples from decarith
dqmul050 multiply 1.20 3 -> 3.60
dqmul051 multiply 7 3 -> 21
dqmul052 multiply 0.9 0.8 -> 0.72
dqmul053 multiply 0.9 -0 -> -0.0
dqmul054 multiply 654321 654321 -> 428135971041
dqmul060 multiply 123.45 1e7 -> 1.2345E+9
dqmul061 multiply 123.45 1e8 -> 1.2345E+10
dqmul062 multiply 123.45 1e+9 -> 1.2345E+11
dqmul063 multiply 123.45 1e10 -> 1.2345E+12
dqmul064 multiply 123.45 1e11 -> 1.2345E+13
dqmul065 multiply 123.45 1e12 -> 1.2345E+14
dqmul066 multiply 123.45 1e13 -> 1.2345E+15
-- test some intermediate lengths
-- 1234567890123456
dqmul080 multiply 0.1 1230123456456789 -> 123012345645678.9
dqmul084 multiply 0.1 1230123456456789 -> 123012345645678.9
dqmul090 multiply 1230123456456789 0.1 -> 123012345645678.9
dqmul094 multiply 1230123456456789 0.1 -> 123012345645678.9
-- test some more edge cases and carries
dqmul101 multiply 9 9 -> 81
dqmul102 multiply 9 90 -> 810
dqmul103 multiply 9 900 -> 8100
dqmul104 multiply 9 9000 -> 81000
dqmul105 multiply 9 90000 -> 810000
dqmul106 multiply 9 900000 -> 8100000
dqmul107 multiply 9 9000000 -> 81000000
dqmul108 multiply 9 90000000 -> 810000000
dqmul109 multiply 9 900000000 -> 8100000000
dqmul110 multiply 9 9000000000 -> 81000000000
dqmul111 multiply 9 90000000000 -> 810000000000
dqmul112 multiply 9 900000000000 -> 8100000000000
dqmul113 multiply 9 9000000000000 -> 81000000000000
dqmul114 multiply 9 90000000000000 -> 810000000000000
dqmul115 multiply 9 900000000000000 -> 8100000000000000
--dqmul116 multiply 9 9000000000000000 -> 81000000000000000
--dqmul117 multiply 9 90000000000000000 -> 810000000000000000
--dqmul118 multiply 9 900000000000000000 -> 8100000000000000000
--dqmul119 multiply 9 9000000000000000000 -> 81000000000000000000
--dqmul120 multiply 9 90000000000000000000 -> 810000000000000000000
--dqmul121 multiply 9 900000000000000000000 -> 8100000000000000000000
--dqmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000
--dqmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000
-- test some more edge cases without carries
dqmul131 multiply 3 3 -> 9
dqmul132 multiply 3 30 -> 90
dqmul133 multiply 3 300 -> 900
dqmul134 multiply 3 3000 -> 9000
dqmul135 multiply 3 30000 -> 90000
dqmul136 multiply 3 300000 -> 900000
dqmul137 multiply 3 3000000 -> 9000000
dqmul138 multiply 3 30000000 -> 90000000
dqmul139 multiply 3 300000000 -> 900000000
dqmul140 multiply 3 3000000000 -> 9000000000
dqmul141 multiply 3 30000000000 -> 90000000000
dqmul142 multiply 3 300000000000 -> 900000000000
dqmul143 multiply 3 3000000000000 -> 9000000000000
dqmul144 multiply 3 30000000000000 -> 90000000000000
dqmul145 multiply 3 300000000000000 -> 900000000000000
dqmul146 multiply 3 3000000000000000 -> 9000000000000000
dqmul147 multiply 3 30000000000000000 -> 90000000000000000
dqmul148 multiply 3 300000000000000000 -> 900000000000000000
dqmul149 multiply 3 3000000000000000000 -> 9000000000000000000
dqmul150 multiply 3 30000000000000000000 -> 90000000000000000000
dqmul151 multiply 3 300000000000000000000 -> 900000000000000000000
dqmul152 multiply 3 3000000000000000000000 -> 9000000000000000000000
dqmul153 multiply 3 30000000000000000000000 -> 90000000000000000000000
dqmul263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928296 Inexact Rounded
-- test some edge cases with exact rounding
dqmul301 multiply 900000000000000000 9 -> 8100000000000000000
dqmul302 multiply 900000000000000000 90 -> 81000000000000000000
dqmul303 multiply 900000000000000000 900 -> 810000000000000000000
dqmul304 multiply 900000000000000000 9000 -> 8100000000000000000000
dqmul305 multiply 900000000000000000 90000 -> 81000000000000000000000
dqmul306 multiply 900000000000000000 900000 -> 810000000000000000000000
dqmul307 multiply 900000000000000000 9000000 -> 8100000000000000000000000
dqmul308 multiply 900000000000000000 90000000 -> 81000000000000000000000000
dqmul309 multiply 900000000000000000 900000000 -> 810000000000000000000000000
dqmul310 multiply 900000000000000000 9000000000 -> 8100000000000000000000000000
dqmul311 multiply 900000000000000000 90000000000 -> 81000000000000000000000000000
dqmul312 multiply 900000000000000000 900000000000 -> 810000000000000000000000000000
dqmul313 multiply 900000000000000000 9000000000000 -> 8100000000000000000000000000000
dqmul314 multiply 900000000000000000 90000000000000 -> 81000000000000000000000000000000
dqmul315 multiply 900000000000000000 900000000000000 -> 810000000000000000000000000000000
dqmul316 multiply 900000000000000000 9000000000000000 -> 8100000000000000000000000000000000
dqmul317 multiply 9000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+34 Rounded
dqmul318 multiply 90000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+35 Rounded
dqmul319 multiply 900000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+36 Rounded
dqmul320 multiply 9000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+37 Rounded
dqmul321 multiply 90000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+38 Rounded
dqmul322 multiply 900000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+39 Rounded
dqmul323 multiply 9000000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+40 Rounded
-- tryzeros cases
dqmul504 multiply 0E-4260 1000E-4260 -> 0E-6176 Clamped
dqmul505 multiply 100E+4260 0E+4260 -> 0E+6111 Clamped
-- mixed with zeros
dqmul541 multiply 0 -1 -> -0
dqmul542 multiply -0 -1 -> 0
dqmul543 multiply 0 1 -> 0
dqmul544 multiply -0 1 -> -0
dqmul545 multiply -1 0 -> -0
dqmul546 multiply -1 -0 -> 0
dqmul547 multiply 1 0 -> 0
dqmul548 multiply 1 -0 -> -0
dqmul551 multiply 0.0 -1 -> -0.0
dqmul552 multiply -0.0 -1 -> 0.0
dqmul553 multiply 0.0 1 -> 0.0
dqmul554 multiply -0.0 1 -> -0.0
dqmul555 multiply -1.0 0 -> -0.0
dqmul556 multiply -1.0 -0 -> 0.0
dqmul557 multiply 1.0 0 -> 0.0
dqmul558 multiply 1.0 -0 -> -0.0
dqmul561 multiply 0 -1.0 -> -0.0
dqmul562 multiply -0 -1.0 -> 0.0
dqmul563 multiply 0 1.0 -> 0.0
dqmul564 multiply -0 1.0 -> -0.0
dqmul565 multiply -1 0.0 -> -0.0
dqmul566 multiply -1 -0.0 -> 0.0
dqmul567 multiply 1 0.0 -> 0.0
dqmul568 multiply 1 -0.0 -> -0.0
dqmul571 multiply 0.0 -1.0 -> -0.00
dqmul572 multiply -0.0 -1.0 -> 0.00
dqmul573 multiply 0.0 1.0 -> 0.00
dqmul574 multiply -0.0 1.0 -> -0.00
dqmul575 multiply -1.0 0.0 -> -0.00
dqmul576 multiply -1.0 -0.0 -> 0.00
dqmul577 multiply 1.0 0.0 -> 0.00
dqmul578 multiply 1.0 -0.0 -> -0.00
-- Specials
dqmul580 multiply Inf -Inf -> -Infinity
dqmul581 multiply Inf -1000 -> -Infinity
dqmul582 multiply Inf -1 -> -Infinity
dqmul583 multiply Inf -0 -> NaN Invalid_operation
dqmul584 multiply Inf 0 -> NaN Invalid_operation
dqmul585 multiply Inf 1 -> Infinity
dqmul586 multiply Inf 1000 -> Infinity
dqmul587 multiply Inf Inf -> Infinity
dqmul588 multiply -1000 Inf -> -Infinity
dqmul589 multiply -Inf Inf -> -Infinity
dqmul590 multiply -1 Inf -> -Infinity
dqmul591 multiply -0 Inf -> NaN Invalid_operation
dqmul592 multiply 0 Inf -> NaN Invalid_operation
dqmul593 multiply 1 Inf -> Infinity
dqmul594 multiply 1000 Inf -> Infinity
dqmul595 multiply Inf Inf -> Infinity
dqmul600 multiply -Inf -Inf -> Infinity
dqmul601 multiply -Inf -1000 -> Infinity
dqmul602 multiply -Inf -1 -> Infinity
dqmul603 multiply -Inf -0 -> NaN Invalid_operation
dqmul604 multiply -Inf 0 -> NaN Invalid_operation
dqmul605 multiply -Inf 1 -> -Infinity
dqmul606 multiply -Inf 1000 -> -Infinity
dqmul607 multiply -Inf Inf -> -Infinity
dqmul608 multiply -1000 Inf -> -Infinity
dqmul609 multiply -Inf -Inf -> Infinity
dqmul610 multiply -1 -Inf -> Infinity
dqmul611 multiply -0 -Inf -> NaN Invalid_operation
dqmul612 multiply 0 -Inf -> NaN Invalid_operation
dqmul613 multiply 1 -Inf -> -Infinity
dqmul614 multiply 1000 -Inf -> -Infinity
dqmul615 multiply Inf -Inf -> -Infinity
dqmul621 multiply NaN -Inf -> NaN
dqmul622 multiply NaN -1000 -> NaN
dqmul623 multiply NaN -1 -> NaN
dqmul624 multiply NaN -0 -> NaN
dqmul625 multiply NaN 0 -> NaN
dqmul626 multiply NaN 1 -> NaN
dqmul627 multiply NaN 1000 -> NaN
dqmul628 multiply NaN Inf -> NaN
dqmul629 multiply NaN NaN -> NaN
dqmul630 multiply -Inf NaN -> NaN
dqmul631 multiply -1000 NaN -> NaN
dqmul632 multiply -1 NaN -> NaN
dqmul633 multiply -0 NaN -> NaN
dqmul634 multiply 0 NaN -> NaN
dqmul635 multiply 1 NaN -> NaN
dqmul636 multiply 1000 NaN -> NaN
dqmul637 multiply Inf NaN -> NaN
dqmul641 multiply sNaN -Inf -> NaN Invalid_operation
dqmul642 multiply sNaN -1000 -> NaN Invalid_operation
dqmul643 multiply sNaN -1 -> NaN Invalid_operation
dqmul644 multiply sNaN -0 -> NaN Invalid_operation
dqmul645 multiply sNaN 0 -> NaN Invalid_operation
dqmul646 multiply sNaN 1 -> NaN Invalid_operation
dqmul647 multiply sNaN 1000 -> NaN Invalid_operation
dqmul648 multiply sNaN NaN -> NaN Invalid_operation
dqmul649 multiply sNaN sNaN -> NaN Invalid_operation
dqmul650 multiply NaN sNaN -> NaN Invalid_operation
dqmul651 multiply -Inf sNaN -> NaN Invalid_operation
dqmul652 multiply -1000 sNaN -> NaN Invalid_operation
dqmul653 multiply -1 sNaN -> NaN Invalid_operation
dqmul654 multiply -0 sNaN -> NaN Invalid_operation
dqmul655 multiply 0 sNaN -> NaN Invalid_operation
dqmul656 multiply 1 sNaN -> NaN Invalid_operation
dqmul657 multiply 1000 sNaN -> NaN Invalid_operation
dqmul658 multiply Inf sNaN -> NaN Invalid_operation
dqmul659 multiply NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
dqmul661 multiply NaN9 -Inf -> NaN9
dqmul662 multiply NaN8 999 -> NaN8
dqmul663 multiply NaN71 Inf -> NaN71
dqmul664 multiply NaN6 NaN5 -> NaN6
dqmul665 multiply -Inf NaN4 -> NaN4
dqmul666 multiply -999 NaN33 -> NaN33
dqmul667 multiply Inf NaN2 -> NaN2
dqmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation
dqmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation
dqmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation
dqmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation
dqmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation
dqmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation
dqmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation
dqmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation
dqmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation
dqmul681 multiply -NaN9 -Inf -> -NaN9
dqmul682 multiply -NaN8 999 -> -NaN8
dqmul683 multiply -NaN71 Inf -> -NaN71
dqmul684 multiply -NaN6 -NaN5 -> -NaN6
dqmul685 multiply -Inf -NaN4 -> -NaN4
dqmul686 multiply -999 -NaN33 -> -NaN33
dqmul687 multiply Inf -NaN2 -> -NaN2
dqmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation
dqmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation
dqmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation
dqmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
dqmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation
dqmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation
dqmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation
dqmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation
dqmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation
dqmul701 multiply -NaN -Inf -> -NaN
dqmul702 multiply -NaN 999 -> -NaN
dqmul703 multiply -NaN Inf -> -NaN
dqmul704 multiply -NaN -NaN -> -NaN
dqmul705 multiply -Inf -NaN0 -> -NaN
dqmul706 multiply -999 -NaN -> -NaN
dqmul707 multiply Inf -NaN -> -NaN
dqmul711 multiply -sNaN -Inf -> -NaN Invalid_operation
dqmul712 multiply -sNaN -11 -> -NaN Invalid_operation
dqmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation
dqmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation
dqmul715 multiply -NaN -sNaN -> -NaN Invalid_operation
dqmul716 multiply -Inf -sNaN -> -NaN Invalid_operation
dqmul717 multiply 088 -sNaN -> -NaN Invalid_operation
dqmul718 multiply Inf -sNaN -> -NaN Invalid_operation
dqmul719 multiply -NaN -sNaN -> -NaN Invalid_operation
-- overflow and underflow tests .. note subnormal results
-- signs
dqmul751 multiply 1e+4277 1e+3311 -> Infinity Overflow Inexact Rounded
dqmul752 multiply 1e+4277 -1e+3311 -> -Infinity Overflow Inexact Rounded
dqmul753 multiply -1e+4277 1e+3311 -> -Infinity Overflow Inexact Rounded
dqmul754 multiply -1e+4277 -1e+3311 -> Infinity Overflow Inexact Rounded
dqmul755 multiply 1e-4277 1e-3311 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul756 multiply 1e-4277 -1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul757 multiply -1e-4277 1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul758 multiply -1e-4277 -1e-3311 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
dqmul760 multiply 1e-6069 1e-101 -> 1E-6170 Subnormal
dqmul761 multiply 1e-6069 1e-102 -> 1E-6171 Subnormal
dqmul762 multiply 1e-6069 1e-103 -> 1E-6172 Subnormal
dqmul763 multiply 1e-6069 1e-104 -> 1E-6173 Subnormal
dqmul764 multiply 1e-6069 1e-105 -> 1E-6174 Subnormal
dqmul765 multiply 1e-6069 1e-106 -> 1E-6175 Subnormal
dqmul766 multiply 1e-6069 1e-107 -> 1E-6176 Subnormal
dqmul767 multiply 1e-6069 1e-108 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul768 multiply 1e-6069 1e-109 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul769 multiply 1e-6069 1e-110 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
-- [no equivalent of 'subnormal' for overflow]
dqmul770 multiply 1e+40 1e+6101 -> 1.000000000000000000000000000000E+6141 Clamped
dqmul771 multiply 1e+40 1e+6102 -> 1.0000000000000000000000000000000E+6142 Clamped
dqmul772 multiply 1e+40 1e+6103 -> 1.00000000000000000000000000000000E+6143 Clamped
dqmul773 multiply 1e+40 1e+6104 -> 1.000000000000000000000000000000000E+6144 Clamped
dqmul774 multiply 1e+40 1e+6105 -> Infinity Overflow Inexact Rounded
dqmul775 multiply 1e+40 1e+6106 -> Infinity Overflow Inexact Rounded
dqmul776 multiply 1e+40 1e+6107 -> Infinity Overflow Inexact Rounded
dqmul777 multiply 1e+40 1e+6108 -> Infinity Overflow Inexact Rounded
dqmul778 multiply 1e+40 1e+6109 -> Infinity Overflow Inexact Rounded
dqmul779 multiply 1e+40 1e+6110 -> Infinity Overflow Inexact Rounded
dqmul801 multiply 1.0000E-6172 1 -> 1.0000E-6172 Subnormal
dqmul802 multiply 1.000E-6172 1e-1 -> 1.000E-6173 Subnormal
dqmul803 multiply 1.00E-6172 1e-2 -> 1.00E-6174 Subnormal
dqmul804 multiply 1.0E-6172 1e-3 -> 1.0E-6175 Subnormal
dqmul805 multiply 1.0E-6172 1e-4 -> 1E-6176 Subnormal Rounded
dqmul806 multiply 1.3E-6172 1e-4 -> 1E-6176 Underflow Subnormal Inexact Rounded
dqmul807 multiply 1.5E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul808 multiply 1.7E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul809 multiply 2.3E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul810 multiply 2.5E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul811 multiply 2.7E-6172 1e-4 -> 3E-6176 Underflow Subnormal Inexact Rounded
dqmul812 multiply 1.49E-6172 1e-4 -> 1E-6176 Underflow Subnormal Inexact Rounded
dqmul813 multiply 1.50E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul814 multiply 1.51E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul815 multiply 2.49E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul816 multiply 2.50E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
dqmul817 multiply 2.51E-6172 1e-4 -> 3E-6176 Underflow Subnormal Inexact Rounded
dqmul818 multiply 1E-6172 1e-4 -> 1E-6176 Subnormal
dqmul819 multiply 3E-6172 1e-5 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul820 multiply 5E-6172 1e-5 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul821 multiply 7E-6172 1e-5 -> 1E-6176 Underflow Subnormal Inexact Rounded
dqmul822 multiply 9E-6172 1e-5 -> 1E-6176 Underflow Subnormal Inexact Rounded
dqmul823 multiply 9.9E-6172 1e-5 -> 1E-6176 Underflow Subnormal Inexact Rounded
dqmul824 multiply 1E-6172 -1e-4 -> -1E-6176 Subnormal
dqmul825 multiply 3E-6172 -1e-5 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul826 multiply -5E-6172 1e-5 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul827 multiply 7E-6172 -1e-5 -> -1E-6176 Underflow Subnormal Inexact Rounded
dqmul828 multiply -9E-6172 1e-5 -> -1E-6176 Underflow Subnormal Inexact Rounded
dqmul829 multiply 9.9E-6172 -1e-5 -> -1E-6176 Underflow Subnormal Inexact Rounded
dqmul830 multiply 3.0E-6172 -1e-5 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul831 multiply 1.0E-5977 1e-200 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqmul832 multiply 1.0E-5977 1e-199 -> 1E-6176 Subnormal Rounded
dqmul833 multiply 1.0E-5977 1e-198 -> 1.0E-6175 Subnormal
dqmul834 multiply 2.0E-5977 2e-198 -> 4.0E-6175 Subnormal
dqmul835 multiply 4.0E-5977 4e-198 -> 1.60E-6174 Subnormal
dqmul836 multiply 10.0E-5977 10e-198 -> 1.000E-6173 Subnormal
dqmul837 multiply 30.0E-5977 30e-198 -> 9.000E-6173 Subnormal
dqmul838 multiply 40.0E-5982 40e-166 -> 1.6000E-6145 Subnormal
dqmul839 multiply 40.0E-5982 40e-165 -> 1.6000E-6144 Subnormal
dqmul840 multiply 40.0E-5982 40e-164 -> 1.6000E-6143
-- Long operand overflow may be a different path
dqmul870 multiply 100 9.999E+6143 -> Infinity Inexact Overflow Rounded
dqmul871 multiply 100 -9.999E+6143 -> -Infinity Inexact Overflow Rounded
dqmul872 multiply 9.999E+6143 100 -> Infinity Inexact Overflow Rounded
dqmul873 multiply -9.999E+6143 100 -> -Infinity Inexact Overflow Rounded
-- check for double-rounded subnormals
dqmul881 multiply 1.2347E-6133 1.2347E-40 -> 1.524E-6173 Inexact Rounded Subnormal Underflow
dqmul882 multiply 1.234E-6133 1.234E-40 -> 1.523E-6173 Inexact Rounded Subnormal Underflow
dqmul883 multiply 1.23E-6133 1.23E-40 -> 1.513E-6173 Inexact Rounded Subnormal Underflow
dqmul884 multiply 1.2E-6133 1.2E-40 -> 1.44E-6173 Subnormal
dqmul885 multiply 1.2E-6133 1.2E-41 -> 1.44E-6174 Subnormal
dqmul886 multiply 1.2E-6133 1.2E-42 -> 1.4E-6175 Subnormal Inexact Rounded Underflow
dqmul887 multiply 1.2E-6133 1.3E-42 -> 1.6E-6175 Subnormal Inexact Rounded Underflow
dqmul888 multiply 1.3E-6133 1.3E-42 -> 1.7E-6175 Subnormal Inexact Rounded Underflow
dqmul889 multiply 1.3E-6133 1.3E-43 -> 2E-6176 Subnormal Inexact Rounded Underflow
dqmul890 multiply 1.3E-6134 1.3E-43 -> 0E-6176 Clamped Subnormal Inexact Rounded Underflow
dqmul891 multiply 1.2345E-39 1.234E-6133 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow
dqmul892 multiply 1.23456E-39 1.234E-6133 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow
dqmul893 multiply 1.2345E-40 1.234E-6133 -> 1.523E-6173 Inexact Rounded Subnormal Underflow
dqmul894 multiply 1.23456E-40 1.234E-6133 -> 1.523E-6173 Inexact Rounded Subnormal Underflow
dqmul895 multiply 1.2345E-41 1.234E-6133 -> 1.52E-6174 Inexact Rounded Subnormal Underflow
dqmul896 multiply 1.23456E-41 1.234E-6133 -> 1.52E-6174 Inexact Rounded Subnormal Underflow
-- Now explore the case where we get a normal result with Underflow
-- prove operands are exact
dqmul906 multiply 9.999999999999999999999999999999999E-6143 1 -> 9.999999999999999999999999999999999E-6143
dqmul907 multiply 1 0.09999999999999999999999999999999999 -> 0.09999999999999999999999999999999999
-- the next rounds to Nmin
dqmul908 multiply 9.999999999999999999999999999999999E-6143 0.09999999999999999999999999999999999 -> 1.000000000000000000000000000000000E-6143 Underflow Inexact Subnormal Rounded
-- hugest
dqmul909 multiply 9999999999999999999999999999999999 9999999999999999999999999999999999 -> 9.999999999999999999999999999999998E+67 Inexact Rounded
-- Examples from SQL proposal (Krishna Kulkarni)
precision: 34
rounding: half_up
maxExponent: 6144
minExponent: -6143
dqmul1001 multiply 130E-2 120E-2 -> 1.5600
dqmul1002 multiply 130E-2 12E-1 -> 1.560
dqmul1003 multiply 130E-2 1E0 -> 1.30
dqmul1004 multiply 1E2 1E4 -> 1E+6
-- Null tests
dqmul990 multiply 10 # -> NaN Invalid_operation
dqmul991 multiply # 10 -> NaN Invalid_operation
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