590 lines
31 KiB
Plaintext
590 lines
31 KiB
Plaintext
------------------------------------------------------------------------
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-- dqMultiply.decTest -- decQuad multiplication --
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-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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version: 2.59
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-- This set of tests are for decQuads only; all arguments are
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-- representable in a decQuad
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extended: 1
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clamp: 1
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precision: 34
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maxExponent: 6144
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minExponent: -6143
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rounding: half_even
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-- sanity checks
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dqmul000 multiply 2 2 -> 4
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dqmul001 multiply 2 3 -> 6
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dqmul002 multiply 5 1 -> 5
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dqmul003 multiply 5 2 -> 10
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dqmul004 multiply 1.20 2 -> 2.40
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dqmul005 multiply 1.20 0 -> 0.00
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dqmul006 multiply 1.20 -2 -> -2.40
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dqmul007 multiply -1.20 2 -> -2.40
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dqmul008 multiply -1.20 0 -> -0.00
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dqmul009 multiply -1.20 -2 -> 2.40
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dqmul010 multiply 5.09 7.1 -> 36.139
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dqmul011 multiply 2.5 4 -> 10.0
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dqmul012 multiply 2.50 4 -> 10.00
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dqmul013 multiply 1.23456789 1.0000000000000000000000000000 -> 1.234567890000000000000000000000000 Rounded
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dqmul015 multiply 2.50 4 -> 10.00
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dqmul016 multiply 9.99999999999999999 9.99999999999999999 -> 99.99999999999999980000000000000000 Inexact Rounded
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dqmul017 multiply 9.99999999999999999 -9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded
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dqmul018 multiply -9.99999999999999999 9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded
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dqmul019 multiply -9.99999999999999999 -9.99999999999999999 -> 99.99999999999999980000000000000000 Inexact Rounded
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-- zeros, etc.
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dqmul021 multiply 0 0 -> 0
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dqmul022 multiply 0 -0 -> -0
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dqmul023 multiply -0 0 -> -0
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dqmul024 multiply -0 -0 -> 0
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dqmul025 multiply -0.0 -0.0 -> 0.00
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dqmul026 multiply -0.0 -0.0 -> 0.00
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dqmul027 multiply -0.0 -0.0 -> 0.00
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dqmul028 multiply -0.0 -0.0 -> 0.00
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dqmul030 multiply 5.00 1E-3 -> 0.00500
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dqmul031 multiply 00.00 0.000 -> 0.00000
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dqmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
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dqmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
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dqmul034 multiply -5.00 1E-3 -> -0.00500
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dqmul035 multiply -00.00 0.000 -> -0.00000
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dqmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
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dqmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
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dqmul038 multiply 5.00 -1E-3 -> -0.00500
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dqmul039 multiply 00.00 -0.000 -> -0.00000
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dqmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
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dqmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
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dqmul042 multiply -5.00 -1E-3 -> 0.00500
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dqmul043 multiply -00.00 -0.000 -> 0.00000
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dqmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
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dqmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
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-- examples from decarith
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dqmul050 multiply 1.20 3 -> 3.60
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dqmul051 multiply 7 3 -> 21
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dqmul052 multiply 0.9 0.8 -> 0.72
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dqmul053 multiply 0.9 -0 -> -0.0
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dqmul054 multiply 654321 654321 -> 428135971041
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dqmul060 multiply 123.45 1e7 -> 1.2345E+9
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dqmul061 multiply 123.45 1e8 -> 1.2345E+10
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dqmul062 multiply 123.45 1e+9 -> 1.2345E+11
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dqmul063 multiply 123.45 1e10 -> 1.2345E+12
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dqmul064 multiply 123.45 1e11 -> 1.2345E+13
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dqmul065 multiply 123.45 1e12 -> 1.2345E+14
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dqmul066 multiply 123.45 1e13 -> 1.2345E+15
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-- test some intermediate lengths
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-- 1234567890123456
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dqmul080 multiply 0.1 1230123456456789 -> 123012345645678.9
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dqmul084 multiply 0.1 1230123456456789 -> 123012345645678.9
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dqmul090 multiply 1230123456456789 0.1 -> 123012345645678.9
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dqmul094 multiply 1230123456456789 0.1 -> 123012345645678.9
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-- test some more edge cases and carries
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dqmul101 multiply 9 9 -> 81
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dqmul102 multiply 9 90 -> 810
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dqmul103 multiply 9 900 -> 8100
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dqmul104 multiply 9 9000 -> 81000
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dqmul105 multiply 9 90000 -> 810000
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dqmul106 multiply 9 900000 -> 8100000
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dqmul107 multiply 9 9000000 -> 81000000
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dqmul108 multiply 9 90000000 -> 810000000
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dqmul109 multiply 9 900000000 -> 8100000000
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dqmul110 multiply 9 9000000000 -> 81000000000
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dqmul111 multiply 9 90000000000 -> 810000000000
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dqmul112 multiply 9 900000000000 -> 8100000000000
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dqmul113 multiply 9 9000000000000 -> 81000000000000
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dqmul114 multiply 9 90000000000000 -> 810000000000000
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dqmul115 multiply 9 900000000000000 -> 8100000000000000
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--dqmul116 multiply 9 9000000000000000 -> 81000000000000000
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--dqmul117 multiply 9 90000000000000000 -> 810000000000000000
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--dqmul118 multiply 9 900000000000000000 -> 8100000000000000000
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--dqmul119 multiply 9 9000000000000000000 -> 81000000000000000000
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--dqmul120 multiply 9 90000000000000000000 -> 810000000000000000000
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--dqmul121 multiply 9 900000000000000000000 -> 8100000000000000000000
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--dqmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000
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--dqmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000
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-- test some more edge cases without carries
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dqmul131 multiply 3 3 -> 9
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dqmul132 multiply 3 30 -> 90
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dqmul133 multiply 3 300 -> 900
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dqmul134 multiply 3 3000 -> 9000
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dqmul135 multiply 3 30000 -> 90000
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dqmul136 multiply 3 300000 -> 900000
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dqmul137 multiply 3 3000000 -> 9000000
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dqmul138 multiply 3 30000000 -> 90000000
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dqmul139 multiply 3 300000000 -> 900000000
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dqmul140 multiply 3 3000000000 -> 9000000000
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dqmul141 multiply 3 30000000000 -> 90000000000
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dqmul142 multiply 3 300000000000 -> 900000000000
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dqmul143 multiply 3 3000000000000 -> 9000000000000
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dqmul144 multiply 3 30000000000000 -> 90000000000000
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dqmul145 multiply 3 300000000000000 -> 900000000000000
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dqmul146 multiply 3 3000000000000000 -> 9000000000000000
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dqmul147 multiply 3 30000000000000000 -> 90000000000000000
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dqmul148 multiply 3 300000000000000000 -> 900000000000000000
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dqmul149 multiply 3 3000000000000000000 -> 9000000000000000000
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dqmul150 multiply 3 30000000000000000000 -> 90000000000000000000
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dqmul151 multiply 3 300000000000000000000 -> 900000000000000000000
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dqmul152 multiply 3 3000000000000000000000 -> 9000000000000000000000
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dqmul153 multiply 3 30000000000000000000000 -> 90000000000000000000000
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dqmul263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928296 Inexact Rounded
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-- test some edge cases with exact rounding
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dqmul301 multiply 900000000000000000 9 -> 8100000000000000000
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dqmul302 multiply 900000000000000000 90 -> 81000000000000000000
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dqmul303 multiply 900000000000000000 900 -> 810000000000000000000
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dqmul304 multiply 900000000000000000 9000 -> 8100000000000000000000
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dqmul305 multiply 900000000000000000 90000 -> 81000000000000000000000
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dqmul306 multiply 900000000000000000 900000 -> 810000000000000000000000
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dqmul307 multiply 900000000000000000 9000000 -> 8100000000000000000000000
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dqmul308 multiply 900000000000000000 90000000 -> 81000000000000000000000000
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dqmul309 multiply 900000000000000000 900000000 -> 810000000000000000000000000
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dqmul310 multiply 900000000000000000 9000000000 -> 8100000000000000000000000000
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dqmul311 multiply 900000000000000000 90000000000 -> 81000000000000000000000000000
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dqmul312 multiply 900000000000000000 900000000000 -> 810000000000000000000000000000
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dqmul313 multiply 900000000000000000 9000000000000 -> 8100000000000000000000000000000
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dqmul314 multiply 900000000000000000 90000000000000 -> 81000000000000000000000000000000
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dqmul315 multiply 900000000000000000 900000000000000 -> 810000000000000000000000000000000
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dqmul316 multiply 900000000000000000 9000000000000000 -> 8100000000000000000000000000000000
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dqmul317 multiply 9000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+34 Rounded
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dqmul318 multiply 90000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+35 Rounded
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dqmul319 multiply 900000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+36 Rounded
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dqmul320 multiply 9000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+37 Rounded
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dqmul321 multiply 90000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+38 Rounded
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dqmul322 multiply 900000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+39 Rounded
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dqmul323 multiply 9000000000000000000000000 9000000000000000 -> 8.100000000000000000000000000000000E+40 Rounded
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-- tryzeros cases
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dqmul504 multiply 0E-4260 1000E-4260 -> 0E-6176 Clamped
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dqmul505 multiply 100E+4260 0E+4260 -> 0E+6111 Clamped
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-- mixed with zeros
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dqmul541 multiply 0 -1 -> -0
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dqmul542 multiply -0 -1 -> 0
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dqmul543 multiply 0 1 -> 0
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dqmul544 multiply -0 1 -> -0
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dqmul545 multiply -1 0 -> -0
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dqmul546 multiply -1 -0 -> 0
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dqmul547 multiply 1 0 -> 0
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dqmul548 multiply 1 -0 -> -0
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dqmul551 multiply 0.0 -1 -> -0.0
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dqmul552 multiply -0.0 -1 -> 0.0
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dqmul553 multiply 0.0 1 -> 0.0
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dqmul554 multiply -0.0 1 -> -0.0
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dqmul555 multiply -1.0 0 -> -0.0
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dqmul556 multiply -1.0 -0 -> 0.0
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dqmul557 multiply 1.0 0 -> 0.0
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dqmul558 multiply 1.0 -0 -> -0.0
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dqmul561 multiply 0 -1.0 -> -0.0
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dqmul562 multiply -0 -1.0 -> 0.0
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dqmul563 multiply 0 1.0 -> 0.0
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dqmul564 multiply -0 1.0 -> -0.0
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dqmul565 multiply -1 0.0 -> -0.0
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dqmul566 multiply -1 -0.0 -> 0.0
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dqmul567 multiply 1 0.0 -> 0.0
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dqmul568 multiply 1 -0.0 -> -0.0
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dqmul571 multiply 0.0 -1.0 -> -0.00
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dqmul572 multiply -0.0 -1.0 -> 0.00
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dqmul573 multiply 0.0 1.0 -> 0.00
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dqmul574 multiply -0.0 1.0 -> -0.00
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dqmul575 multiply -1.0 0.0 -> -0.00
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dqmul576 multiply -1.0 -0.0 -> 0.00
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dqmul577 multiply 1.0 0.0 -> 0.00
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dqmul578 multiply 1.0 -0.0 -> -0.00
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-- Specials
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dqmul580 multiply Inf -Inf -> -Infinity
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dqmul581 multiply Inf -1000 -> -Infinity
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dqmul582 multiply Inf -1 -> -Infinity
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dqmul583 multiply Inf -0 -> NaN Invalid_operation
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dqmul584 multiply Inf 0 -> NaN Invalid_operation
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dqmul585 multiply Inf 1 -> Infinity
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dqmul586 multiply Inf 1000 -> Infinity
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dqmul587 multiply Inf Inf -> Infinity
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dqmul588 multiply -1000 Inf -> -Infinity
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dqmul589 multiply -Inf Inf -> -Infinity
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dqmul590 multiply -1 Inf -> -Infinity
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dqmul591 multiply -0 Inf -> NaN Invalid_operation
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dqmul592 multiply 0 Inf -> NaN Invalid_operation
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dqmul593 multiply 1 Inf -> Infinity
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dqmul594 multiply 1000 Inf -> Infinity
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dqmul595 multiply Inf Inf -> Infinity
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dqmul600 multiply -Inf -Inf -> Infinity
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dqmul601 multiply -Inf -1000 -> Infinity
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dqmul602 multiply -Inf -1 -> Infinity
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dqmul603 multiply -Inf -0 -> NaN Invalid_operation
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dqmul604 multiply -Inf 0 -> NaN Invalid_operation
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dqmul605 multiply -Inf 1 -> -Infinity
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dqmul606 multiply -Inf 1000 -> -Infinity
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dqmul607 multiply -Inf Inf -> -Infinity
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dqmul608 multiply -1000 Inf -> -Infinity
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dqmul609 multiply -Inf -Inf -> Infinity
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dqmul610 multiply -1 -Inf -> Infinity
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dqmul611 multiply -0 -Inf -> NaN Invalid_operation
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dqmul612 multiply 0 -Inf -> NaN Invalid_operation
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dqmul613 multiply 1 -Inf -> -Infinity
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dqmul614 multiply 1000 -Inf -> -Infinity
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dqmul615 multiply Inf -Inf -> -Infinity
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dqmul621 multiply NaN -Inf -> NaN
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dqmul622 multiply NaN -1000 -> NaN
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dqmul623 multiply NaN -1 -> NaN
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dqmul624 multiply NaN -0 -> NaN
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dqmul625 multiply NaN 0 -> NaN
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dqmul626 multiply NaN 1 -> NaN
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dqmul627 multiply NaN 1000 -> NaN
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dqmul628 multiply NaN Inf -> NaN
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dqmul629 multiply NaN NaN -> NaN
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dqmul630 multiply -Inf NaN -> NaN
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dqmul631 multiply -1000 NaN -> NaN
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dqmul632 multiply -1 NaN -> NaN
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dqmul633 multiply -0 NaN -> NaN
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dqmul634 multiply 0 NaN -> NaN
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dqmul635 multiply 1 NaN -> NaN
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dqmul636 multiply 1000 NaN -> NaN
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dqmul637 multiply Inf NaN -> NaN
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dqmul641 multiply sNaN -Inf -> NaN Invalid_operation
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dqmul642 multiply sNaN -1000 -> NaN Invalid_operation
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dqmul643 multiply sNaN -1 -> NaN Invalid_operation
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dqmul644 multiply sNaN -0 -> NaN Invalid_operation
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dqmul645 multiply sNaN 0 -> NaN Invalid_operation
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dqmul646 multiply sNaN 1 -> NaN Invalid_operation
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dqmul647 multiply sNaN 1000 -> NaN Invalid_operation
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dqmul648 multiply sNaN NaN -> NaN Invalid_operation
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dqmul649 multiply sNaN sNaN -> NaN Invalid_operation
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dqmul650 multiply NaN sNaN -> NaN Invalid_operation
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dqmul651 multiply -Inf sNaN -> NaN Invalid_operation
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dqmul652 multiply -1000 sNaN -> NaN Invalid_operation
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dqmul653 multiply -1 sNaN -> NaN Invalid_operation
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dqmul654 multiply -0 sNaN -> NaN Invalid_operation
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dqmul655 multiply 0 sNaN -> NaN Invalid_operation
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dqmul656 multiply 1 sNaN -> NaN Invalid_operation
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dqmul657 multiply 1000 sNaN -> NaN Invalid_operation
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dqmul658 multiply Inf sNaN -> NaN Invalid_operation
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dqmul659 multiply NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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dqmul661 multiply NaN9 -Inf -> NaN9
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dqmul662 multiply NaN8 999 -> NaN8
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dqmul663 multiply NaN71 Inf -> NaN71
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dqmul664 multiply NaN6 NaN5 -> NaN6
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dqmul665 multiply -Inf NaN4 -> NaN4
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dqmul666 multiply -999 NaN33 -> NaN33
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dqmul667 multiply Inf NaN2 -> NaN2
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dqmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation
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dqmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation
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dqmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation
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dqmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation
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dqmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation
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dqmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation
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dqmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation
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dqmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation
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dqmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation
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dqmul681 multiply -NaN9 -Inf -> -NaN9
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dqmul682 multiply -NaN8 999 -> -NaN8
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dqmul683 multiply -NaN71 Inf -> -NaN71
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dqmul684 multiply -NaN6 -NaN5 -> -NaN6
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dqmul685 multiply -Inf -NaN4 -> -NaN4
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dqmul686 multiply -999 -NaN33 -> -NaN33
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dqmul687 multiply Inf -NaN2 -> -NaN2
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dqmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation
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dqmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation
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dqmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation
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dqmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
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dqmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation
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dqmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation
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dqmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation
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dqmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation
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dqmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation
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dqmul701 multiply -NaN -Inf -> -NaN
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dqmul702 multiply -NaN 999 -> -NaN
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dqmul703 multiply -NaN Inf -> -NaN
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dqmul704 multiply -NaN -NaN -> -NaN
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dqmul705 multiply -Inf -NaN0 -> -NaN
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dqmul706 multiply -999 -NaN -> -NaN
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dqmul707 multiply Inf -NaN -> -NaN
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dqmul711 multiply -sNaN -Inf -> -NaN Invalid_operation
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dqmul712 multiply -sNaN -11 -> -NaN Invalid_operation
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dqmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation
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dqmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation
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dqmul715 multiply -NaN -sNaN -> -NaN Invalid_operation
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dqmul716 multiply -Inf -sNaN -> -NaN Invalid_operation
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dqmul717 multiply 088 -sNaN -> -NaN Invalid_operation
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dqmul718 multiply Inf -sNaN -> -NaN Invalid_operation
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dqmul719 multiply -NaN -sNaN -> -NaN Invalid_operation
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-- overflow and underflow tests .. note subnormal results
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-- signs
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dqmul751 multiply 1e+4277 1e+3311 -> Infinity Overflow Inexact Rounded
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dqmul752 multiply 1e+4277 -1e+3311 -> -Infinity Overflow Inexact Rounded
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dqmul753 multiply -1e+4277 1e+3311 -> -Infinity Overflow Inexact Rounded
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dqmul754 multiply -1e+4277 -1e+3311 -> Infinity Overflow Inexact Rounded
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dqmul755 multiply 1e-4277 1e-3311 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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dqmul756 multiply 1e-4277 -1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
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dqmul757 multiply -1e-4277 1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
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dqmul758 multiply -1e-4277 -1e-3311 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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-- 'subnormal' boundary (all hard underflow or overflow in base arithmetic)
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dqmul760 multiply 1e-6069 1e-101 -> 1E-6170 Subnormal
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dqmul761 multiply 1e-6069 1e-102 -> 1E-6171 Subnormal
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dqmul762 multiply 1e-6069 1e-103 -> 1E-6172 Subnormal
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dqmul763 multiply 1e-6069 1e-104 -> 1E-6173 Subnormal
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dqmul764 multiply 1e-6069 1e-105 -> 1E-6174 Subnormal
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dqmul765 multiply 1e-6069 1e-106 -> 1E-6175 Subnormal
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dqmul766 multiply 1e-6069 1e-107 -> 1E-6176 Subnormal
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dqmul767 multiply 1e-6069 1e-108 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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dqmul768 multiply 1e-6069 1e-109 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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dqmul769 multiply 1e-6069 1e-110 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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-- [no equivalent of 'subnormal' for overflow]
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dqmul770 multiply 1e+40 1e+6101 -> 1.000000000000000000000000000000E+6141 Clamped
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dqmul771 multiply 1e+40 1e+6102 -> 1.0000000000000000000000000000000E+6142 Clamped
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dqmul772 multiply 1e+40 1e+6103 -> 1.00000000000000000000000000000000E+6143 Clamped
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dqmul773 multiply 1e+40 1e+6104 -> 1.000000000000000000000000000000000E+6144 Clamped
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dqmul774 multiply 1e+40 1e+6105 -> Infinity Overflow Inexact Rounded
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dqmul775 multiply 1e+40 1e+6106 -> Infinity Overflow Inexact Rounded
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dqmul776 multiply 1e+40 1e+6107 -> Infinity Overflow Inexact Rounded
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dqmul777 multiply 1e+40 1e+6108 -> Infinity Overflow Inexact Rounded
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dqmul778 multiply 1e+40 1e+6109 -> Infinity Overflow Inexact Rounded
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dqmul779 multiply 1e+40 1e+6110 -> Infinity Overflow Inexact Rounded
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dqmul801 multiply 1.0000E-6172 1 -> 1.0000E-6172 Subnormal
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dqmul802 multiply 1.000E-6172 1e-1 -> 1.000E-6173 Subnormal
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dqmul803 multiply 1.00E-6172 1e-2 -> 1.00E-6174 Subnormal
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dqmul804 multiply 1.0E-6172 1e-3 -> 1.0E-6175 Subnormal
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dqmul805 multiply 1.0E-6172 1e-4 -> 1E-6176 Subnormal Rounded
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dqmul806 multiply 1.3E-6172 1e-4 -> 1E-6176 Underflow Subnormal Inexact Rounded
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dqmul807 multiply 1.5E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
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dqmul808 multiply 1.7E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
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dqmul809 multiply 2.3E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
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dqmul810 multiply 2.5E-6172 1e-4 -> 2E-6176 Underflow Subnormal Inexact Rounded
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|
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
|
|
|