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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 new file mode 100644 index 0000000..8387a85 --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/dqMultiply.decTest @@ -0,0 +1,589 @@ +------------------------------------------------------------------------ +-- 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 + |