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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/dqMultiply.decTest')
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diff --git a/lib/python2.7/test/decimaltestdata/dqMultiply.decTest b/lib/python2.7/test/decimaltestdata/dqMultiply.decTest deleted file mode 100644 index 8387a85..0000000 --- a/lib/python2.7/test/decimaltestdata/dqMultiply.decTest +++ /dev/null @@ -1,589 +0,0 @@ ------------------------------------------------------------------------- --- dqMultiply.decTest -- decQuad 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 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 --- VG case -dqmul910 multiply 8.81125000000001349436E-1548 8.000000000000000000E-1550 -> 7.049000000000010795488000000000000E-3097 Rounded - --- Examples from SQL proposal (Krishna Kulkarni) -precision: 34 -rounding: half_up -maxExponent: 6144 -minExponent: -6143 -dqmul911 multiply 130E-2 120E-2 -> 1.5600 -dqmul912 multiply 130E-2 12E-1 -> 1.560 -dqmul913 multiply 130E-2 1E0 -> 1.30 -dqmul914 multiply 1E2 1E4 -> 1E+6 - --- power-of-ten edge cases -dqmul1001 multiply 1 10 -> 10 -dqmul1002 multiply 1 100 -> 100 -dqmul1003 multiply 1 1000 -> 1000 -dqmul1004 multiply 1 10000 -> 10000 -dqmul1005 multiply 1 100000 -> 100000 -dqmul1006 multiply 1 1000000 -> 1000000 -dqmul1007 multiply 1 10000000 -> 10000000 -dqmul1008 multiply 1 100000000 -> 100000000 -dqmul1009 multiply 1 1000000000 -> 1000000000 -dqmul1010 multiply 1 10000000000 -> 10000000000 -dqmul1011 multiply 1 100000000000 -> 100000000000 -dqmul1012 multiply 1 1000000000000 -> 1000000000000 -dqmul1013 multiply 1 10000000000000 -> 10000000000000 -dqmul1014 multiply 1 100000000000000 -> 100000000000000 -dqmul1015 multiply 1 1000000000000000 -> 1000000000000000 - -dqmul1016 multiply 1 1000000000000000000 -> 1000000000000000000 -dqmul1017 multiply 1 100000000000000000000000000 -> 100000000000000000000000000 -dqmul1018 multiply 1 1000000000000000000000000000 -> 1000000000000000000000000000 -dqmul1019 multiply 1 10000000000000000000000000000 -> 10000000000000000000000000000 -dqmul1020 multiply 1 1000000000000000000000000000000000 -> 1000000000000000000000000000000000 - -dqmul1021 multiply 10 1 -> 10 -dqmul1022 multiply 10 10 -> 100 -dqmul1023 multiply 10 100 -> 1000 -dqmul1024 multiply 10 1000 -> 10000 -dqmul1025 multiply 10 10000 -> 100000 -dqmul1026 multiply 10 100000 -> 1000000 -dqmul1027 multiply 10 1000000 -> 10000000 -dqmul1028 multiply 10 10000000 -> 100000000 -dqmul1029 multiply 10 100000000 -> 1000000000 -dqmul1030 multiply 10 1000000000 -> 10000000000 -dqmul1031 multiply 10 10000000000 -> 100000000000 -dqmul1032 multiply 10 100000000000 -> 1000000000000 -dqmul1033 multiply 10 1000000000000 -> 10000000000000 -dqmul1034 multiply 10 10000000000000 -> 100000000000000 -dqmul1035 multiply 10 100000000000000 -> 1000000000000000 - -dqmul1036 multiply 10 100000000000000000 -> 1000000000000000000 -dqmul1037 multiply 10 10000000000000000000000000 -> 100000000000000000000000000 -dqmul1038 multiply 10 100000000000000000000000000 -> 1000000000000000000000000000 -dqmul1039 multiply 10 1000000000000000000000000000 -> 10000000000000000000000000000 -dqmul1040 multiply 10 100000000000000000000000000000000 -> 1000000000000000000000000000000000 - -dqmul1041 multiply 100 0.1 -> 10.0 -dqmul1042 multiply 100 1 -> 100 -dqmul1043 multiply 100 10 -> 1000 -dqmul1044 multiply 100 100 -> 10000 -dqmul1045 multiply 100 1000 -> 100000 -dqmul1046 multiply 100 10000 -> 1000000 -dqmul1047 multiply 100 100000 -> 10000000 -dqmul1048 multiply 100 1000000 -> 100000000 -dqmul1049 multiply 100 10000000 -> 1000000000 -dqmul1050 multiply 100 100000000 -> 10000000000 -dqmul1051 multiply 100 1000000000 -> 100000000000 -dqmul1052 multiply 100 10000000000 -> 1000000000000 -dqmul1053 multiply 100 100000000000 -> 10000000000000 -dqmul1054 multiply 100 1000000000000 -> 100000000000000 -dqmul1055 multiply 100 10000000000000 -> 1000000000000000 - -dqmul1056 multiply 100 10000000000000000 -> 1000000000000000000 -dqmul1057 multiply 100 1000000000000000000000000 -> 100000000000000000000000000 -dqmul1058 multiply 100 10000000000000000000000000 -> 1000000000000000000000000000 -dqmul1059 multiply 100 100000000000000000000000000 -> 10000000000000000000000000000 -dqmul1060 multiply 100 10000000000000000000000000000000 -> 1000000000000000000000000000000000 - -dqmul1061 multiply 1000 0.01 -> 10.00 -dqmul1062 multiply 1000 0.1 -> 100.0 -dqmul1063 multiply 1000 1 -> 1000 -dqmul1064 multiply 1000 10 -> 10000 -dqmul1065 multiply 1000 100 -> 100000 -dqmul1066 multiply 1000 1000 -> 1000000 -dqmul1067 multiply 1000 10000 -> 10000000 -dqmul1068 multiply 1000 100000 -> 100000000 -dqmul1069 multiply 1000 1000000 -> 1000000000 -dqmul1070 multiply 1000 10000000 -> 10000000000 -dqmul1071 multiply 1000 100000000 -> 100000000000 -dqmul1072 multiply 1000 1000000000 -> 1000000000000 -dqmul1073 multiply 1000 10000000000 -> 10000000000000 -dqmul1074 multiply 1000 100000000000 -> 100000000000000 -dqmul1075 multiply 1000 1000000000000 -> 1000000000000000 - -dqmul1076 multiply 1000 1000000000000000 -> 1000000000000000000 -dqmul1077 multiply 1000 100000000000000000000000 -> 100000000000000000000000000 -dqmul1078 multiply 1000 1000000000000000000000000 -> 1000000000000000000000000000 -dqmul1079 multiply 1000 10000000000000000000000000 -> 10000000000000000000000000000 -dqmul1080 multiply 1000 1000000000000000000000000000000 -> 1000000000000000000000000000000000 - -dqmul1081 multiply 10000 0.001 -> 10.000 -dqmul1082 multiply 10000 0.01 -> 100.00 -dqmul1083 multiply 10000 0.1 -> 1000.0 -dqmul1084 multiply 10000 1 -> 10000 -dqmul1085 multiply 10000 10 -> 100000 -dqmul1086 multiply 10000 100 -> 1000000 -dqmul1087 multiply 10000 1000 -> 10000000 -dqmul1088 multiply 10000 10000 -> 100000000 -dqmul1089 multiply 10000 100000 -> 1000000000 -dqmul1090 multiply 10000 1000000 -> 10000000000 -dqmul1091 multiply 10000 10000000 -> 100000000000 -dqmul1092 multiply 10000 100000000 -> 1000000000000 -dqmul1093 multiply 10000 1000000000 -> 10000000000000 -dqmul1094 multiply 10000 10000000000 -> 100000000000000 -dqmul1095 multiply 10000 100000000000 -> 1000000000000000 - -dqmul1096 multiply 10000 100000000000000 -> 1000000000000000000 -dqmul1097 multiply 10000 10000000000000000000000 -> 100000000000000000000000000 -dqmul1098 multiply 10000 100000000000000000000000 -> 1000000000000000000000000000 -dqmul1099 multiply 10000 1000000000000000000000000 -> 10000000000000000000000000000 -dqmul1100 multiply 10000 100000000000000000000000000000 -> 1000000000000000000000000000000000 - -dqmul1107 multiply 10000 99999999999 -> 999999999990000 -dqmul1108 multiply 10000 99999999999 -> 999999999990000 - --- Null tests -dqmul9990 multiply 10 # -> NaN Invalid_operation -dqmul9991 multiply # 10 -> NaN Invalid_operation - |