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			554 lines
		
	
	
		
			28 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| ------------------------------------------------------------------------
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| -- ddMultiply.decTest -- decDouble 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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| 
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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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| 
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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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| 
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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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| 
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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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| 
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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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| 
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| 
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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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| 
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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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| 
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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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| 
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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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| -- 65K-1 case
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| ddmul506 multiply 77.1 850 -> 65535.0
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| 
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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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| 
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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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| 
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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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| 
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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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| 
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| 
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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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| 
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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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| 
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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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| 
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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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| 
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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
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| ddmul665 multiply -Inf   NaN4  ->  NaN4
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| ddmul666 multiply -999   NaN33 ->  NaN33
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| ddmul667 multiply  Inf   NaN2  ->  NaN2
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| 
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| ddmul671 multiply  sNaN99 -Inf    ->  NaN99 Invalid_operation
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| ddmul672 multiply  sNaN98 -11     ->  NaN98 Invalid_operation
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| ddmul673 multiply  sNaN97  NaN    ->  NaN97 Invalid_operation
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| ddmul674 multiply  sNaN16 sNaN94  ->  NaN16 Invalid_operation
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| ddmul675 multiply  NaN95  sNaN93  ->  NaN93 Invalid_operation
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| ddmul676 multiply -Inf    sNaN92  ->  NaN92 Invalid_operation
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| ddmul677 multiply  088    sNaN91  ->  NaN91 Invalid_operation
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| ddmul678 multiply  Inf    sNaN90  ->  NaN90 Invalid_operation
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| ddmul679 multiply  NaN    sNaN89  ->  NaN89 Invalid_operation
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| 
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| ddmul681 multiply -NaN9 -Inf   -> -NaN9
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| ddmul682 multiply -NaN8  999   -> -NaN8
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| ddmul683 multiply -NaN71 Inf   -> -NaN71
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| ddmul684 multiply -NaN6 -NaN5  -> -NaN6
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| ddmul685 multiply -Inf  -NaN4  -> -NaN4
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| ddmul686 multiply -999  -NaN33 -> -NaN33
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| ddmul687 multiply  Inf  -NaN2  -> -NaN2
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| 
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| ddmul691 multiply -sNaN99 -Inf    -> -NaN99 Invalid_operation
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| ddmul692 multiply -sNaN98 -11     -> -NaN98 Invalid_operation
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| ddmul693 multiply -sNaN97  NaN    -> -NaN97 Invalid_operation
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| ddmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
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| ddmul695 multiply -NaN95  -sNaN93 -> -NaN93 Invalid_operation
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| ddmul696 multiply -Inf    -sNaN92 -> -NaN92 Invalid_operation
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| ddmul697 multiply  088    -sNaN91 -> -NaN91 Invalid_operation
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| ddmul698 multiply  Inf    -sNaN90 -> -NaN90 Invalid_operation
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| ddmul699 multiply -NaN    -sNaN89 -> -NaN89 Invalid_operation
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| 
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| ddmul701 multiply -NaN  -Inf   -> -NaN
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| ddmul702 multiply -NaN   999   -> -NaN
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| ddmul703 multiply -NaN   Inf   -> -NaN
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| ddmul704 multiply -NaN  -NaN   -> -NaN
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| ddmul705 multiply -Inf  -NaN0  -> -NaN
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| ddmul706 multiply -999  -NaN   -> -NaN
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| ddmul707 multiply  Inf  -NaN   -> -NaN
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| 
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| ddmul711 multiply -sNaN   -Inf    -> -NaN Invalid_operation
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| ddmul712 multiply -sNaN   -11     -> -NaN Invalid_operation
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| ddmul713 multiply -sNaN00  NaN    -> -NaN Invalid_operation
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| ddmul714 multiply -sNaN   -sNaN   -> -NaN Invalid_operation
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| ddmul715 multiply -NaN    -sNaN   -> -NaN Invalid_operation
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| ddmul716 multiply -Inf    -sNaN   -> -NaN Invalid_operation
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| ddmul717 multiply  088    -sNaN   -> -NaN Invalid_operation
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| ddmul718 multiply  Inf    -sNaN   -> -NaN Invalid_operation
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| ddmul719 multiply -NaN    -sNaN   -> -NaN Invalid_operation
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| 
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| -- overflow and underflow tests .. note subnormal results
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| -- signs
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| ddmul751 multiply  1e+277  1e+311 ->  Infinity Overflow Inexact Rounded
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| ddmul752 multiply  1e+277 -1e+311 -> -Infinity Overflow Inexact Rounded
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| ddmul753 multiply -1e+277  1e+311 -> -Infinity Overflow Inexact Rounded
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| ddmul754 multiply -1e+277 -1e+311 ->  Infinity Overflow Inexact Rounded
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| ddmul755 multiply  1e-277  1e-311 ->  0E-398 Underflow Subnormal Inexact Rounded Clamped
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| ddmul756 multiply  1e-277 -1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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| ddmul757 multiply -1e-277  1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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| ddmul758 multiply -1e-277 -1e-311 ->  0E-398 Underflow Subnormal Inexact Rounded Clamped
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| 
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| -- 'subnormal' boundary (all hard underflow or overflow in base arithmetic)
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| ddmul760 multiply 1e-291 1e-101 -> 1E-392 Subnormal
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| ddmul761 multiply 1e-291 1e-102 -> 1E-393 Subnormal
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| ddmul762 multiply 1e-291 1e-103 -> 1E-394 Subnormal
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| ddmul763 multiply 1e-291 1e-104 -> 1E-395 Subnormal
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| ddmul764 multiply 1e-291 1e-105 -> 1E-396 Subnormal
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| ddmul765 multiply 1e-291 1e-106 -> 1E-397 Subnormal
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| ddmul766 multiply 1e-291 1e-107 -> 1E-398 Subnormal
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| ddmul767 multiply 1e-291 1e-108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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| ddmul768 multiply 1e-291 1e-109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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| ddmul769 multiply 1e-291 1e-110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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| -- [no equivalent of 'subnormal' for overflow]
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| ddmul770 multiply 1e+60 1e+321 -> 1.000000000000E+381  Clamped
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| ddmul771 multiply 1e+60 1e+322 -> 1.0000000000000E+382  Clamped
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| ddmul772 multiply 1e+60 1e+323 -> 1.00000000000000E+383  Clamped
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| ddmul773 multiply 1e+60 1e+324 -> 1.000000000000000E+384  Clamped
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| ddmul774 multiply 1e+60 1e+325 -> Infinity Overflow Inexact Rounded
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| ddmul775 multiply 1e+60 1e+326 -> Infinity Overflow Inexact Rounded
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| ddmul776 multiply 1e+60 1e+327 -> Infinity Overflow Inexact Rounded
 | |
| ddmul777 multiply 1e+60 1e+328 -> Infinity Overflow Inexact Rounded
 | |
| ddmul778 multiply 1e+60 1e+329 -> Infinity Overflow Inexact Rounded
 | |
| ddmul779 multiply 1e+60 1e+330 -> Infinity Overflow Inexact Rounded
 | |
| 
 | |
| ddmul801 multiply  1.0000E-394  1     -> 1.0000E-394 Subnormal
 | |
| ddmul802 multiply  1.000E-394   1e-1  -> 1.000E-395  Subnormal
 | |
| ddmul803 multiply  1.00E-394    1e-2  -> 1.00E-396   Subnormal
 | |
| ddmul804 multiply  1.0E-394     1e-3  -> 1.0E-397    Subnormal
 | |
| ddmul805 multiply  1.0E-394     1e-4  -> 1E-398     Subnormal Rounded
 | |
| ddmul806 multiply  1.3E-394     1e-4  -> 1E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul807 multiply  1.5E-394     1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul808 multiply  1.7E-394     1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul809 multiply  2.3E-394     1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul810 multiply  2.5E-394     1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul811 multiply  2.7E-394     1e-4  -> 3E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul812 multiply  1.49E-394    1e-4  -> 1E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul813 multiply  1.50E-394    1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul814 multiply  1.51E-394    1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul815 multiply  2.49E-394    1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul816 multiply  2.50E-394    1e-4  -> 2E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul817 multiply  2.51E-394    1e-4  -> 3E-398     Underflow Subnormal Inexact Rounded
 | |
| 
 | |
| ddmul818 multiply  1E-394       1e-4  -> 1E-398     Subnormal
 | |
| ddmul819 multiply  3E-394       1e-5  -> 0E-398     Underflow Subnormal Inexact Rounded Clamped
 | |
| ddmul820 multiply  5E-394       1e-5  -> 0E-398     Underflow Subnormal Inexact Rounded Clamped
 | |
| ddmul821 multiply  7E-394       1e-5  -> 1E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul822 multiply  9E-394       1e-5  -> 1E-398     Underflow Subnormal Inexact Rounded
 | |
| ddmul823 multiply  9.9E-394     1e-5  -> 1E-398     Underflow Subnormal Inexact Rounded
 | |
| 
 | |
| ddmul824 multiply  1E-394      -1e-4  -> -1E-398    Subnormal
 | |
| ddmul825 multiply  3E-394      -1e-5  -> -0E-398    Underflow Subnormal Inexact Rounded Clamped
 | |
| ddmul826 multiply -5E-394       1e-5  -> -0E-398    Underflow Subnormal Inexact Rounded Clamped
 | |
| ddmul827 multiply  7E-394      -1e-5  -> -1E-398    Underflow Subnormal Inexact Rounded
 | |
| ddmul828 multiply -9E-394       1e-5  -> -1E-398    Underflow Subnormal Inexact Rounded
 | |
| ddmul829 multiply  9.9E-394    -1e-5  -> -1E-398    Underflow Subnormal Inexact Rounded
 | |
| ddmul830 multiply  3.0E-394    -1e-5  -> -0E-398    Underflow Subnormal Inexact Rounded Clamped
 | |
| 
 | |
| ddmul831 multiply  1.0E-199     1e-200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
 | |
| ddmul832 multiply  1.0E-199     1e-199 -> 1E-398    Subnormal Rounded
 | |
| ddmul833 multiply  1.0E-199     1e-198 -> 1.0E-397    Subnormal
 | |
| ddmul834 multiply  2.0E-199     2e-198 -> 4.0E-397    Subnormal
 | |
| ddmul835 multiply  4.0E-199     4e-198 -> 1.60E-396   Subnormal
 | |
| ddmul836 multiply 10.0E-199    10e-198 -> 1.000E-395  Subnormal
 | |
| ddmul837 multiply 30.0E-199    30e-198 -> 9.000E-395  Subnormal
 | |
| ddmul838 multiply 40.0E-199    40e-188 -> 1.6000E-384 Subnormal
 | |
| ddmul839 multiply 40.0E-199    40e-187 -> 1.6000E-383
 | |
| ddmul840 multiply 40.0E-199    40e-186 -> 1.6000E-382
 | |
| 
 | |
| -- Long operand overflow may be a different path
 | |
| ddmul870 multiply 100  9.999E+383         ->  Infinity Inexact Overflow Rounded
 | |
| ddmul871 multiply 100 -9.999E+383     -> -Infinity Inexact Overflow Rounded
 | |
| ddmul872 multiply      9.999E+383 100 ->  Infinity Inexact Overflow Rounded
 | |
| ddmul873 multiply     -9.999E+383 100 -> -Infinity Inexact Overflow Rounded
 | |
| 
 | |
| -- check for double-rounded subnormals
 | |
| ddmul881 multiply  1.2347E-355 1.2347E-40  ->  1.524E-395 Inexact Rounded Subnormal Underflow
 | |
| ddmul882 multiply  1.234E-355 1.234E-40    ->  1.523E-395 Inexact Rounded Subnormal Underflow
 | |
| ddmul883 multiply  1.23E-355  1.23E-40     ->  1.513E-395 Inexact Rounded Subnormal Underflow
 | |
| ddmul884 multiply  1.2E-355   1.2E-40      ->  1.44E-395  Subnormal
 | |
| ddmul885 multiply  1.2E-355   1.2E-41      ->  1.44E-396  Subnormal
 | |
| ddmul886 multiply  1.2E-355   1.2E-42      ->  1.4E-397   Subnormal Inexact Rounded Underflow
 | |
| ddmul887 multiply  1.2E-355   1.3E-42      ->  1.6E-397   Subnormal Inexact Rounded Underflow
 | |
| ddmul888 multiply  1.3E-355   1.3E-42      ->  1.7E-397   Subnormal Inexact Rounded Underflow
 | |
| ddmul889 multiply  1.3E-355   1.3E-43      ->    2E-398   Subnormal Inexact Rounded Underflow
 | |
| ddmul890 multiply  1.3E-356   1.3E-43      ->    0E-398   Clamped Subnormal Inexact Rounded Underflow
 | |
| 
 | |
| ddmul891 multiply  1.2345E-39   1.234E-355 ->  1.5234E-394 Inexact Rounded Subnormal Underflow
 | |
| ddmul892 multiply  1.23456E-39  1.234E-355 ->  1.5234E-394 Inexact Rounded Subnormal Underflow
 | |
| ddmul893 multiply  1.2345E-40   1.234E-355 ->  1.523E-395  Inexact Rounded Subnormal Underflow
 | |
| ddmul894 multiply  1.23456E-40  1.234E-355 ->  1.523E-395  Inexact Rounded Subnormal Underflow
 | |
| ddmul895 multiply  1.2345E-41   1.234E-355 ->  1.52E-396   Inexact Rounded Subnormal Underflow
 | |
| ddmul896 multiply  1.23456E-41  1.234E-355 ->  1.52E-396   Inexact Rounded Subnormal Underflow
 | |
| 
 | |
| -- Now explore the case where we get a normal result with Underflow
 | |
| --                                                        1 234567890123456
 | |
| ddmul900 multiply  0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded
 | |
| ddmul901 multiply  0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
 | |
| ddmul902 multiply  9.999999999999999E-383  0.0999999999999    -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
 | |
| ddmul903 multiply  9.999999999999999E-383  0.09999999999999   -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
 | |
| ddmul904 multiply  9.999999999999999E-383  0.099999999999999  -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
 | |
| ddmul905 multiply  9.999999999999999E-383  0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
 | |
| -- The next rounds to Nmin (b**emin); this is the distinguishing case
 | |
| -- for detecting tininess (before or after rounding) -- if after
 | |
| -- rounding then the result would be the same, but the Underflow flag
 | |
| -- would not be set
 | |
| ddmul906 multiply  9.999999999999999E-383  0.09999999999999999     -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
 | |
| -- prove those operands were exact
 | |
| ddmul907 multiply  9.999999999999999E-383  1                       -> 9.999999999999999E-383
 | |
| ddmul908 multiply                       1  0.09999999999999999     -> 0.09999999999999999
 | |
| 
 | |
| -- reducing tiniest
 | |
| ddmul910 multiply 1e-398 0.99 -> 1E-398 Subnormal Inexact Rounded Underflow
 | |
| ddmul911 multiply 1e-398 0.75 -> 1E-398 Subnormal Inexact Rounded Underflow
 | |
| ddmul912 multiply 1e-398 0.5  -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
 | |
| ddmul913 multiply 1e-398 0.25 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
 | |
| ddmul914 multiply 1e-398 0.01 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
 | |
| 
 | |
| -- hugest
 | |
| ddmul920 multiply  9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded
 | |
| 
 | |
| -- power-of-ten edge cases
 | |
| ddmul1001 multiply  1      10               -> 10
 | |
| ddmul1002 multiply  1      100              -> 100
 | |
| ddmul1003 multiply  1      1000             -> 1000
 | |
| ddmul1004 multiply  1      10000            -> 10000
 | |
| ddmul1005 multiply  1      100000           -> 100000
 | |
| ddmul1006 multiply  1      1000000          -> 1000000
 | |
| ddmul1007 multiply  1      10000000         -> 10000000
 | |
| ddmul1008 multiply  1      100000000        -> 100000000
 | |
| ddmul1009 multiply  1      1000000000       -> 1000000000
 | |
| ddmul1010 multiply  1      10000000000      -> 10000000000
 | |
| ddmul1011 multiply  1      100000000000     -> 100000000000
 | |
| ddmul1012 multiply  1      1000000000000    -> 1000000000000
 | |
| ddmul1013 multiply  1      10000000000000   -> 10000000000000
 | |
| ddmul1014 multiply  1      100000000000000  -> 100000000000000
 | |
| ddmul1015 multiply  1      1000000000000000 -> 1000000000000000
 | |
| ddmul1021 multiply  10     1                -> 10
 | |
| ddmul1022 multiply  10     10               -> 100
 | |
| ddmul1023 multiply  10     100              -> 1000
 | |
| ddmul1024 multiply  10     1000             -> 10000
 | |
| ddmul1025 multiply  10     10000            -> 100000
 | |
| ddmul1026 multiply  10     100000           -> 1000000
 | |
| ddmul1027 multiply  10     1000000          -> 10000000
 | |
| ddmul1028 multiply  10     10000000         -> 100000000
 | |
| ddmul1029 multiply  10     100000000        -> 1000000000
 | |
| ddmul1030 multiply  10     1000000000       -> 10000000000
 | |
| ddmul1031 multiply  10     10000000000      -> 100000000000
 | |
| ddmul1032 multiply  10     100000000000     -> 1000000000000
 | |
| ddmul1033 multiply  10     1000000000000    -> 10000000000000
 | |
| ddmul1034 multiply  10     10000000000000   -> 100000000000000
 | |
| ddmul1035 multiply  10     100000000000000  -> 1000000000000000
 | |
| ddmul1041 multiply  100    0.1              -> 10.0
 | |
| ddmul1042 multiply  100    1                -> 100
 | |
| ddmul1043 multiply  100    10               -> 1000
 | |
| ddmul1044 multiply  100    100              -> 10000
 | |
| ddmul1045 multiply  100    1000             -> 100000
 | |
| ddmul1046 multiply  100    10000            -> 1000000
 | |
| ddmul1047 multiply  100    100000           -> 10000000
 | |
| ddmul1048 multiply  100    1000000          -> 100000000
 | |
| ddmul1049 multiply  100    10000000         -> 1000000000
 | |
| ddmul1050 multiply  100    100000000        -> 10000000000
 | |
| ddmul1051 multiply  100    1000000000       -> 100000000000
 | |
| ddmul1052 multiply  100    10000000000      -> 1000000000000
 | |
| ddmul1053 multiply  100    100000000000     -> 10000000000000
 | |
| ddmul1054 multiply  100    1000000000000    -> 100000000000000
 | |
| ddmul1055 multiply  100    10000000000000   -> 1000000000000000
 | |
| ddmul1061 multiply  1000   0.01             -> 10.00
 | |
| ddmul1062 multiply  1000   0.1              -> 100.0
 | |
| ddmul1063 multiply  1000   1                -> 1000
 | |
| ddmul1064 multiply  1000   10               -> 10000
 | |
| ddmul1065 multiply  1000   100              -> 100000
 | |
| ddmul1066 multiply  1000   1000             -> 1000000
 | |
| ddmul1067 multiply  1000   10000            -> 10000000
 | |
| ddmul1068 multiply  1000   100000           -> 100000000
 | |
| ddmul1069 multiply  1000   1000000          -> 1000000000
 | |
| ddmul1070 multiply  1000   10000000         -> 10000000000
 | |
| ddmul1071 multiply  1000   100000000        -> 100000000000
 | |
| ddmul1072 multiply  1000   1000000000       -> 1000000000000
 | |
| ddmul1073 multiply  1000   10000000000      -> 10000000000000
 | |
| ddmul1074 multiply  1000   100000000000     -> 100000000000000
 | |
| ddmul1075 multiply  1000   1000000000000    -> 1000000000000000
 | |
| ddmul1081 multiply  10000  0.001            -> 10.000
 | |
| ddmul1082 multiply  10000  0.01             -> 100.00
 | |
| ddmul1083 multiply  10000  0.1              -> 1000.0
 | |
| ddmul1084 multiply  10000  1                -> 10000
 | |
| ddmul1085 multiply  10000  10               -> 100000
 | |
| ddmul1086 multiply  10000  100              -> 1000000
 | |
| ddmul1087 multiply  10000  1000             -> 10000000
 | |
| ddmul1088 multiply  10000  10000            -> 100000000
 | |
| ddmul1089 multiply  10000  100000           -> 1000000000
 | |
| ddmul1090 multiply  10000  1000000          -> 10000000000
 | |
| ddmul1091 multiply  10000  10000000         -> 100000000000
 | |
| ddmul1092 multiply  10000  100000000        -> 1000000000000
 | |
| ddmul1093 multiply  10000  1000000000       -> 10000000000000
 | |
| ddmul1094 multiply  10000  10000000000      -> 100000000000000
 | |
| ddmul1095 multiply  10000  100000000000     -> 1000000000000000
 | |
| 
 | |
| ddmul1097 multiply  10000   99999999999     ->  999999999990000
 | |
| ddmul1098 multiply  10000   99999999999     ->  999999999990000
 | |
| 
 | |
| 
 | |
| -- Null tests
 | |
| ddmul9990 multiply 10  # -> NaN Invalid_operation
 | |
| ddmul9991 multiply  # 10 -> NaN Invalid_operation
 | |
| 
 |