2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- ddMultiply.decTest -- decDouble multiplication --
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2008-07-27 03:39:07 -03:00
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-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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2007-09-13 15:13:15 -03:00
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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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2009-10-27 14:02:46 -03:00
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version: 2.59
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2007-09-13 15:13:15 -03:00
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-- This set of tests are for decDoubles only; all arguments are
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-- representable in a decDouble
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precision: 16
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maxExponent: 384
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minExponent: -383
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extended: 1
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clamp: 1
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rounding: half_even
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-- sanity checks
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ddmul000 multiply 2 2 -> 4
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ddmul001 multiply 2 3 -> 6
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ddmul002 multiply 5 1 -> 5
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ddmul003 multiply 5 2 -> 10
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ddmul004 multiply 1.20 2 -> 2.40
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ddmul005 multiply 1.20 0 -> 0.00
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ddmul006 multiply 1.20 -2 -> -2.40
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ddmul007 multiply -1.20 2 -> -2.40
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ddmul008 multiply -1.20 0 -> -0.00
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ddmul009 multiply -1.20 -2 -> 2.40
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ddmul010 multiply 5.09 7.1 -> 36.139
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ddmul011 multiply 2.5 4 -> 10.0
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ddmul012 multiply 2.50 4 -> 10.00
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ddmul013 multiply 1.23456789 1.00000000 -> 1.234567890000000 Rounded
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ddmul015 multiply 2.50 4 -> 10.00
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ddmul016 multiply 9.999999999 9.999999999 -> 99.99999998000000 Inexact Rounded
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ddmul017 multiply 9.999999999 -9.999999999 -> -99.99999998000000 Inexact Rounded
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ddmul018 multiply -9.999999999 9.999999999 -> -99.99999998000000 Inexact Rounded
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ddmul019 multiply -9.999999999 -9.999999999 -> 99.99999998000000 Inexact Rounded
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-- zeros, etc.
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ddmul021 multiply 0 0 -> 0
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ddmul022 multiply 0 -0 -> -0
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ddmul023 multiply -0 0 -> -0
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ddmul024 multiply -0 -0 -> 0
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ddmul025 multiply -0.0 -0.0 -> 0.00
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ddmul026 multiply -0.0 -0.0 -> 0.00
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ddmul027 multiply -0.0 -0.0 -> 0.00
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ddmul028 multiply -0.0 -0.0 -> 0.00
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ddmul030 multiply 5.00 1E-3 -> 0.00500
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ddmul031 multiply 00.00 0.000 -> 0.00000
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ddmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
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ddmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
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ddmul034 multiply -5.00 1E-3 -> -0.00500
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ddmul035 multiply -00.00 0.000 -> -0.00000
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ddmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
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ddmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
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ddmul038 multiply 5.00 -1E-3 -> -0.00500
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ddmul039 multiply 00.00 -0.000 -> -0.00000
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ddmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
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ddmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
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ddmul042 multiply -5.00 -1E-3 -> 0.00500
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ddmul043 multiply -00.00 -0.000 -> 0.00000
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ddmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
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ddmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
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-- examples from decarith
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ddmul050 multiply 1.20 3 -> 3.60
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ddmul051 multiply 7 3 -> 21
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ddmul052 multiply 0.9 0.8 -> 0.72
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ddmul053 multiply 0.9 -0 -> -0.0
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ddmul054 multiply 654321 654321 -> 428135971041
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ddmul060 multiply 123.45 1e7 -> 1.2345E+9
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ddmul061 multiply 123.45 1e8 -> 1.2345E+10
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ddmul062 multiply 123.45 1e+9 -> 1.2345E+11
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ddmul063 multiply 123.45 1e10 -> 1.2345E+12
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ddmul064 multiply 123.45 1e11 -> 1.2345E+13
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ddmul065 multiply 123.45 1e12 -> 1.2345E+14
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ddmul066 multiply 123.45 1e13 -> 1.2345E+15
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-- test some intermediate lengths
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-- 1234567890123456
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ddmul080 multiply 0.1 1230123456456789 -> 123012345645678.9
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ddmul084 multiply 0.1 1230123456456789 -> 123012345645678.9
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ddmul090 multiply 1230123456456789 0.1 -> 123012345645678.9
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ddmul094 multiply 1230123456456789 0.1 -> 123012345645678.9
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-- test some more edge cases and carries
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ddmul101 multiply 9 9 -> 81
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ddmul102 multiply 9 90 -> 810
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ddmul103 multiply 9 900 -> 8100
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ddmul104 multiply 9 9000 -> 81000
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ddmul105 multiply 9 90000 -> 810000
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ddmul106 multiply 9 900000 -> 8100000
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ddmul107 multiply 9 9000000 -> 81000000
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ddmul108 multiply 9 90000000 -> 810000000
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ddmul109 multiply 9 900000000 -> 8100000000
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ddmul110 multiply 9 9000000000 -> 81000000000
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ddmul111 multiply 9 90000000000 -> 810000000000
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ddmul112 multiply 9 900000000000 -> 8100000000000
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ddmul113 multiply 9 9000000000000 -> 81000000000000
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ddmul114 multiply 9 90000000000000 -> 810000000000000
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ddmul115 multiply 9 900000000000000 -> 8100000000000000
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--ddmul116 multiply 9 9000000000000000 -> 81000000000000000
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--ddmul117 multiply 9 90000000000000000 -> 810000000000000000
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--ddmul118 multiply 9 900000000000000000 -> 8100000000000000000
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--ddmul119 multiply 9 9000000000000000000 -> 81000000000000000000
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--ddmul120 multiply 9 90000000000000000000 -> 810000000000000000000
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--ddmul121 multiply 9 900000000000000000000 -> 8100000000000000000000
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--ddmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000
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--ddmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000
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-- test some more edge cases without carries
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ddmul131 multiply 3 3 -> 9
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ddmul132 multiply 3 30 -> 90
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ddmul133 multiply 3 300 -> 900
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ddmul134 multiply 3 3000 -> 9000
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ddmul135 multiply 3 30000 -> 90000
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ddmul136 multiply 3 300000 -> 900000
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ddmul137 multiply 3 3000000 -> 9000000
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ddmul138 multiply 3 30000000 -> 90000000
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ddmul139 multiply 3 300000000 -> 900000000
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ddmul140 multiply 3 3000000000 -> 9000000000
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ddmul141 multiply 3 30000000000 -> 90000000000
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ddmul142 multiply 3 300000000000 -> 900000000000
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ddmul143 multiply 3 3000000000000 -> 9000000000000
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ddmul144 multiply 3 30000000000000 -> 90000000000000
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ddmul145 multiply 3 300000000000000 -> 900000000000000
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-- test some edge cases with exact rounding
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ddmul301 multiply 9 9 -> 81
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ddmul302 multiply 9 90 -> 810
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ddmul303 multiply 9 900 -> 8100
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ddmul304 multiply 9 9000 -> 81000
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ddmul305 multiply 9 90000 -> 810000
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ddmul306 multiply 9 900000 -> 8100000
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ddmul307 multiply 9 9000000 -> 81000000
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ddmul308 multiply 9 90000000 -> 810000000
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ddmul309 multiply 9 900000000 -> 8100000000
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ddmul310 multiply 9 9000000000 -> 81000000000
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ddmul311 multiply 9 90000000000 -> 810000000000
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ddmul312 multiply 9 900000000000 -> 8100000000000
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ddmul313 multiply 9 9000000000000 -> 81000000000000
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ddmul314 multiply 9 90000000000000 -> 810000000000000
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ddmul315 multiply 9 900000000000000 -> 8100000000000000
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ddmul316 multiply 9 9000000000000000 -> 8.100000000000000E+16 Rounded
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ddmul317 multiply 90 9000000000000000 -> 8.100000000000000E+17 Rounded
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ddmul318 multiply 900 9000000000000000 -> 8.100000000000000E+18 Rounded
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ddmul319 multiply 9000 9000000000000000 -> 8.100000000000000E+19 Rounded
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ddmul320 multiply 90000 9000000000000000 -> 8.100000000000000E+20 Rounded
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ddmul321 multiply 900000 9000000000000000 -> 8.100000000000000E+21 Rounded
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ddmul322 multiply 9000000 9000000000000000 -> 8.100000000000000E+22 Rounded
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ddmul323 multiply 90000000 9000000000000000 -> 8.100000000000000E+23 Rounded
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-- tryzeros cases
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ddmul504 multiply 0E-260 1000E-260 -> 0E-398 Clamped
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ddmul505 multiply 100E+260 0E+260 -> 0E+369 Clamped
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2008-07-27 03:39:07 -03:00
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-- 65K-1 case
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ddmul506 multiply 77.1 850 -> 65535.0
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2007-09-13 15:13:15 -03:00
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-- mixed with zeros
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ddmul541 multiply 0 -1 -> -0
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ddmul542 multiply -0 -1 -> 0
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ddmul543 multiply 0 1 -> 0
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ddmul544 multiply -0 1 -> -0
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ddmul545 multiply -1 0 -> -0
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ddmul546 multiply -1 -0 -> 0
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ddmul547 multiply 1 0 -> 0
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ddmul548 multiply 1 -0 -> -0
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ddmul551 multiply 0.0 -1 -> -0.0
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ddmul552 multiply -0.0 -1 -> 0.0
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ddmul553 multiply 0.0 1 -> 0.0
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ddmul554 multiply -0.0 1 -> -0.0
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ddmul555 multiply -1.0 0 -> -0.0
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ddmul556 multiply -1.0 -0 -> 0.0
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ddmul557 multiply 1.0 0 -> 0.0
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ddmul558 multiply 1.0 -0 -> -0.0
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ddmul561 multiply 0 -1.0 -> -0.0
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ddmul562 multiply -0 -1.0 -> 0.0
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ddmul563 multiply 0 1.0 -> 0.0
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ddmul564 multiply -0 1.0 -> -0.0
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ddmul565 multiply -1 0.0 -> -0.0
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ddmul566 multiply -1 -0.0 -> 0.0
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ddmul567 multiply 1 0.0 -> 0.0
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ddmul568 multiply 1 -0.0 -> -0.0
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ddmul571 multiply 0.0 -1.0 -> -0.00
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ddmul572 multiply -0.0 -1.0 -> 0.00
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ddmul573 multiply 0.0 1.0 -> 0.00
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ddmul574 multiply -0.0 1.0 -> -0.00
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ddmul575 multiply -1.0 0.0 -> -0.00
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ddmul576 multiply -1.0 -0.0 -> 0.00
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ddmul577 multiply 1.0 0.0 -> 0.00
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ddmul578 multiply 1.0 -0.0 -> -0.00
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-- Specials
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ddmul580 multiply Inf -Inf -> -Infinity
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ddmul581 multiply Inf -1000 -> -Infinity
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ddmul582 multiply Inf -1 -> -Infinity
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ddmul583 multiply Inf -0 -> NaN Invalid_operation
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ddmul584 multiply Inf 0 -> NaN Invalid_operation
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ddmul585 multiply Inf 1 -> Infinity
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ddmul586 multiply Inf 1000 -> Infinity
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ddmul587 multiply Inf Inf -> Infinity
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ddmul588 multiply -1000 Inf -> -Infinity
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ddmul589 multiply -Inf Inf -> -Infinity
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ddmul590 multiply -1 Inf -> -Infinity
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ddmul591 multiply -0 Inf -> NaN Invalid_operation
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ddmul592 multiply 0 Inf -> NaN Invalid_operation
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ddmul593 multiply 1 Inf -> Infinity
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ddmul594 multiply 1000 Inf -> Infinity
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ddmul595 multiply Inf Inf -> Infinity
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ddmul600 multiply -Inf -Inf -> Infinity
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ddmul601 multiply -Inf -1000 -> Infinity
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ddmul602 multiply -Inf -1 -> Infinity
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ddmul603 multiply -Inf -0 -> NaN Invalid_operation
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ddmul604 multiply -Inf 0 -> NaN Invalid_operation
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ddmul605 multiply -Inf 1 -> -Infinity
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ddmul606 multiply -Inf 1000 -> -Infinity
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ddmul607 multiply -Inf Inf -> -Infinity
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ddmul608 multiply -1000 Inf -> -Infinity
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ddmul609 multiply -Inf -Inf -> Infinity
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ddmul610 multiply -1 -Inf -> Infinity
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ddmul611 multiply -0 -Inf -> NaN Invalid_operation
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ddmul612 multiply 0 -Inf -> NaN Invalid_operation
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ddmul613 multiply 1 -Inf -> -Infinity
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ddmul614 multiply 1000 -Inf -> -Infinity
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ddmul615 multiply Inf -Inf -> -Infinity
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ddmul621 multiply NaN -Inf -> NaN
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ddmul622 multiply NaN -1000 -> NaN
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ddmul623 multiply NaN -1 -> NaN
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ddmul624 multiply NaN -0 -> NaN
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ddmul625 multiply NaN 0 -> NaN
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ddmul626 multiply NaN 1 -> NaN
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ddmul627 multiply NaN 1000 -> NaN
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ddmul628 multiply NaN Inf -> NaN
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ddmul629 multiply NaN NaN -> NaN
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ddmul630 multiply -Inf NaN -> NaN
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ddmul631 multiply -1000 NaN -> NaN
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ddmul632 multiply -1 NaN -> NaN
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ddmul633 multiply -0 NaN -> NaN
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ddmul634 multiply 0 NaN -> NaN
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ddmul635 multiply 1 NaN -> NaN
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ddmul636 multiply 1000 NaN -> NaN
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ddmul637 multiply Inf NaN -> NaN
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ddmul641 multiply sNaN -Inf -> NaN Invalid_operation
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ddmul642 multiply sNaN -1000 -> NaN Invalid_operation
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ddmul643 multiply sNaN -1 -> NaN Invalid_operation
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ddmul644 multiply sNaN -0 -> NaN Invalid_operation
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ddmul645 multiply sNaN 0 -> NaN Invalid_operation
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ddmul646 multiply sNaN 1 -> NaN Invalid_operation
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ddmul647 multiply sNaN 1000 -> NaN Invalid_operation
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ddmul648 multiply sNaN NaN -> NaN Invalid_operation
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ddmul649 multiply sNaN sNaN -> NaN Invalid_operation
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ddmul650 multiply NaN sNaN -> NaN Invalid_operation
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ddmul651 multiply -Inf sNaN -> NaN Invalid_operation
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ddmul652 multiply -1000 sNaN -> NaN Invalid_operation
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ddmul653 multiply -1 sNaN -> NaN Invalid_operation
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ddmul654 multiply -0 sNaN -> NaN Invalid_operation
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ddmul655 multiply 0 sNaN -> NaN Invalid_operation
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ddmul656 multiply 1 sNaN -> NaN Invalid_operation
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ddmul657 multiply 1000 sNaN -> NaN Invalid_operation
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ddmul658 multiply Inf sNaN -> NaN Invalid_operation
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ddmul659 multiply NaN sNaN -> NaN Invalid_operation
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-- propagating NaNs
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ddmul661 multiply NaN9 -Inf -> NaN9
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ddmul662 multiply NaN8 999 -> NaN8
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ddmul663 multiply NaN71 Inf -> NaN71
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|
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
|
2008-07-27 03:39:07 -03:00
|
|
|
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
|
2007-09-13 15:13:15 -03:00
|
|
|
|
|
|
|
|
-- hugest
|
2008-07-27 03:39:07 -03:00
|
|
|
ddmul920 multiply 9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded
|
2007-09-13 15:13:15 -03:00
|
|
|
|
2007-11-23 14:14:50 -04:00
|
|
|
-- 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
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ddmul1074 multiply 1000 100000000000 -> 100000000000000
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ddmul1075 multiply 1000 1000000000000 -> 1000000000000000
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ddmul1081 multiply 10000 0.001 -> 10.000
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ddmul1082 multiply 10000 0.01 -> 100.00
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ddmul1083 multiply 10000 0.1 -> 1000.0
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ddmul1084 multiply 10000 1 -> 10000
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ddmul1085 multiply 10000 10 -> 100000
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ddmul1086 multiply 10000 100 -> 1000000
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ddmul1087 multiply 10000 1000 -> 10000000
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ddmul1088 multiply 10000 10000 -> 100000000
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ddmul1089 multiply 10000 100000 -> 1000000000
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ddmul1090 multiply 10000 1000000 -> 10000000000
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ddmul1091 multiply 10000 10000000 -> 100000000000
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|
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|
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ddmul1092 multiply 10000 100000000 -> 1000000000000
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|
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|
|
ddmul1093 multiply 10000 1000000000 -> 10000000000000
|
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|
|
|
ddmul1094 multiply 10000 10000000000 -> 100000000000000
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|
|
|
|
ddmul1095 multiply 10000 100000000000 -> 1000000000000000
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|
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|
|
|
|
|
|
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ddmul1097 multiply 10000 99999999999 -> 999999999990000
|
|
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|
|
ddmul1098 multiply 10000 99999999999 -> 999999999990000
|
|
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2007-09-13 15:13:15 -03:00
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-- Null tests
|
2007-11-23 14:14:50 -04:00
|
|
|
ddmul9990 multiply 10 # -> NaN Invalid_operation
|
|
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ddmul9991 multiply # 10 -> NaN Invalid_operation
|
2007-09-13 15:13:15 -03:00
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