Staging
v0.5.1
v0.5.1
https://github.com/python/cpython
Tip revision: 73b4a7a7943026b90b3d04932ffb1efd0d6b107e authored by Larry Hastings on 10 August 2015, 04:37:20 UTC
Merged fixes for two bad bugs. This will be the new Python 3.5.0rc1.
Merged fixes for two bad bugs. This will be the new Python 3.5.0rc1.
Tip revision: 73b4a7a
ddMultiply.decTest
------------------------------------------------------------------------
-- 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
