These files are a subset of the python-2.7.2.tgz distribution from python.org. Changed files from PyMod-2.7.2 have been copied into the corresponding directories of this tree, replacing the original files in the distribution. Signed-off-by: daryl.mcdaniel@intel.com git-svn-id: https://edk2.svn.sourceforge.net/svnroot/edk2/trunk/edk2@13197 6f19259b-4bc3-4df7-8a09-765794883524
		
			
				
	
	
		
			590 lines
		
	
	
		
			32 KiB
		
	
	
	
		
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			590 lines
		
	
	
		
			32 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| ------------------------------------------------------------------------
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| -- dqMultiply.decTest -- decQuad multiplication                       --
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| -- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --
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| ------------------------------------------------------------------------
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| -- Please see the document "General Decimal Arithmetic Testcases"     --
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| -- at http://www2.hursley.ibm.com/decimal for the description of      --
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| -- these testcases.                                                   --
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| --                                                                    --
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| -- These testcases are experimental ('beta' versions), and they       --
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| -- may contain errors.  They are offered on an as-is basis.  In       --
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| -- particular, achieving the same results as the tests here is not    --
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| -- a guarantee that an implementation complies with any Standard      --
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| -- or specification.  The tests are not exhaustive.                   --
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| --                                                                    --
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| -- Please send comments, suggestions, and corrections to the author:  --
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| --   Mike Cowlishaw, IBM Fellow                                       --
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| --   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --
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| --   mfc@uk.ibm.com                                                   --
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| ------------------------------------------------------------------------
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| version: 2.59
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| 
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| -- This set of tests are for decQuads only; all arguments are
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| -- representable in a decQuad
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| extended:    1
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| clamp:       1
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| precision:   34
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| maxExponent: 6144
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| minExponent: -6143
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| rounding:    half_even
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| 
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| -- sanity checks
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| dqmul000 multiply 2      2 -> 4
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| dqmul001 multiply 2      3 -> 6
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| dqmul002 multiply 5      1 -> 5
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| dqmul003 multiply 5      2 -> 10
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| dqmul004 multiply 1.20   2 -> 2.40
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| dqmul005 multiply 1.20   0 -> 0.00
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| dqmul006 multiply 1.20  -2 -> -2.40
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| dqmul007 multiply -1.20  2 -> -2.40
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| dqmul008 multiply -1.20  0 -> -0.00
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| dqmul009 multiply -1.20 -2 -> 2.40
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| dqmul010 multiply 5.09 7.1 -> 36.139
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| dqmul011 multiply 2.5    4 -> 10.0
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| dqmul012 multiply 2.50   4 -> 10.00
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| dqmul013 multiply 1.23456789 1.0000000000000000000000000000 -> 1.234567890000000000000000000000000 Rounded
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| dqmul015 multiply 2.50   4 -> 10.00
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| dqmul016 multiply  9.99999999999999999  9.99999999999999999 ->  99.99999999999999980000000000000000 Inexact Rounded
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| dqmul017 multiply  9.99999999999999999 -9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded
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| dqmul018 multiply -9.99999999999999999  9.99999999999999999 -> -99.99999999999999980000000000000000 Inexact Rounded
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| dqmul019 multiply -9.99999999999999999 -9.99999999999999999 ->  99.99999999999999980000000000000000 Inexact Rounded
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| 
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| -- zeros, etc.
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| dqmul021 multiply  0      0     ->  0
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| dqmul022 multiply  0     -0     -> -0
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| dqmul023 multiply -0      0     -> -0
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| dqmul024 multiply -0     -0     ->  0
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| dqmul025 multiply -0.0   -0.0   ->  0.00
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| dqmul026 multiply -0.0   -0.0   ->  0.00
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| dqmul027 multiply -0.0   -0.0   ->  0.00
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| dqmul028 multiply -0.0   -0.0   ->  0.00
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| dqmul030 multiply  5.00   1E-3  ->  0.00500
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| dqmul031 multiply  00.00  0.000 ->  0.00000
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| dqmul032 multiply  00.00  0E-3  ->  0.00000     -- rhs is 0
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| dqmul033 multiply  0E-3   00.00 ->  0.00000     -- lhs is 0
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| dqmul034 multiply -5.00   1E-3  -> -0.00500
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| dqmul035 multiply -00.00  0.000 -> -0.00000
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| dqmul036 multiply -00.00  0E-3  -> -0.00000     -- rhs is 0
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| dqmul037 multiply -0E-3   00.00 -> -0.00000     -- lhs is 0
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| dqmul038 multiply  5.00  -1E-3  -> -0.00500
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| dqmul039 multiply  00.00 -0.000 -> -0.00000
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| dqmul040 multiply  00.00 -0E-3  -> -0.00000     -- rhs is 0
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| dqmul041 multiply  0E-3  -00.00 -> -0.00000     -- lhs is 0
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| dqmul042 multiply -5.00  -1E-3  ->  0.00500
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| dqmul043 multiply -00.00 -0.000 ->  0.00000
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| dqmul044 multiply -00.00 -0E-3  ->  0.00000     -- rhs is 0
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| dqmul045 multiply -0E-3  -00.00 ->  0.00000     -- lhs is 0
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| 
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| -- examples from decarith
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| dqmul050 multiply 1.20 3        -> 3.60
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| dqmul051 multiply 7    3        -> 21
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| dqmul052 multiply 0.9  0.8      -> 0.72
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| dqmul053 multiply 0.9  -0       -> -0.0
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| dqmul054 multiply 654321 654321 -> 428135971041
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| 
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| dqmul060 multiply 123.45 1e7  ->  1.2345E+9
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| dqmul061 multiply 123.45 1e8  ->  1.2345E+10
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| dqmul062 multiply 123.45 1e+9 ->  1.2345E+11
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| dqmul063 multiply 123.45 1e10 ->  1.2345E+12
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| dqmul064 multiply 123.45 1e11 ->  1.2345E+13
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| dqmul065 multiply 123.45 1e12 ->  1.2345E+14
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| dqmul066 multiply 123.45 1e13 ->  1.2345E+15
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| 
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| 
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| -- test some intermediate lengths
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| --                    1234567890123456
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| dqmul080 multiply 0.1 1230123456456789     -> 123012345645678.9
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| dqmul084 multiply 0.1 1230123456456789     -> 123012345645678.9
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| dqmul090 multiply 1230123456456789     0.1 -> 123012345645678.9
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| dqmul094 multiply 1230123456456789     0.1 -> 123012345645678.9
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| 
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| -- test some more edge cases and carries
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| dqmul101 multiply 9 9   -> 81
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| dqmul102 multiply 9 90   -> 810
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| dqmul103 multiply 9 900   -> 8100
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| dqmul104 multiply 9 9000   -> 81000
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| dqmul105 multiply 9 90000   -> 810000
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| dqmul106 multiply 9 900000   -> 8100000
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| dqmul107 multiply 9 9000000   -> 81000000
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| dqmul108 multiply 9 90000000   -> 810000000
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| dqmul109 multiply 9 900000000   -> 8100000000
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| dqmul110 multiply 9 9000000000   -> 81000000000
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| dqmul111 multiply 9 90000000000   -> 810000000000
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| dqmul112 multiply 9 900000000000   -> 8100000000000
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| dqmul113 multiply 9 9000000000000   -> 81000000000000
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| dqmul114 multiply 9 90000000000000   -> 810000000000000
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| dqmul115 multiply 9 900000000000000   -> 8100000000000000
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| --dqmul116 multiply 9 9000000000000000   -> 81000000000000000
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| --dqmul117 multiply 9 90000000000000000   -> 810000000000000000
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| --dqmul118 multiply 9 900000000000000000   -> 8100000000000000000
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| --dqmul119 multiply 9 9000000000000000000   -> 81000000000000000000
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| --dqmul120 multiply 9 90000000000000000000   -> 810000000000000000000
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| --dqmul121 multiply 9 900000000000000000000   -> 8100000000000000000000
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| --dqmul122 multiply 9 9000000000000000000000   -> 81000000000000000000000
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| --dqmul123 multiply 9 90000000000000000000000   -> 810000000000000000000000
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| -- test some more edge cases without carries
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| dqmul131 multiply 3 3   -> 9
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| dqmul132 multiply 3 30   -> 90
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| dqmul133 multiply 3 300   -> 900
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| dqmul134 multiply 3 3000   -> 9000
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| dqmul135 multiply 3 30000   -> 90000
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| dqmul136 multiply 3 300000   -> 900000
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| dqmul137 multiply 3 3000000   -> 9000000
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| dqmul138 multiply 3 30000000   -> 90000000
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| dqmul139 multiply 3 300000000   -> 900000000
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| dqmul140 multiply 3 3000000000   -> 9000000000
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| dqmul141 multiply 3 30000000000   -> 90000000000
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| dqmul142 multiply 3 300000000000   -> 900000000000
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| dqmul143 multiply 3 3000000000000   -> 9000000000000
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| dqmul144 multiply 3 30000000000000   -> 90000000000000
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| dqmul145 multiply 3 300000000000000   -> 900000000000000
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| dqmul146 multiply 3 3000000000000000   -> 9000000000000000
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| dqmul147 multiply 3 30000000000000000   -> 90000000000000000
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| dqmul148 multiply 3 300000000000000000   -> 900000000000000000
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| dqmul149 multiply 3 3000000000000000000   -> 9000000000000000000
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| dqmul150 multiply 3 30000000000000000000   -> 90000000000000000000
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| dqmul151 multiply 3 300000000000000000000   -> 900000000000000000000
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| dqmul152 multiply 3 3000000000000000000000   -> 9000000000000000000000
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| dqmul153 multiply 3 30000000000000000000000   -> 90000000000000000000000
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| 
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| dqmul263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928296 Inexact Rounded
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| 
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| -- test some edge cases with exact rounding
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| dqmul301 multiply 900000000000000000 9   -> 8100000000000000000
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| dqmul302 multiply 900000000000000000 90   -> 81000000000000000000
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| dqmul303 multiply 900000000000000000 900   -> 810000000000000000000
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| dqmul304 multiply 900000000000000000 9000   -> 8100000000000000000000
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| dqmul305 multiply 900000000000000000 90000   -> 81000000000000000000000
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| dqmul306 multiply 900000000000000000 900000   -> 810000000000000000000000
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| dqmul307 multiply 900000000000000000 9000000   -> 8100000000000000000000000
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| dqmul308 multiply 900000000000000000 90000000   -> 81000000000000000000000000
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| dqmul309 multiply 900000000000000000 900000000   -> 810000000000000000000000000
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| dqmul310 multiply 900000000000000000 9000000000   -> 8100000000000000000000000000
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| dqmul311 multiply 900000000000000000 90000000000   -> 81000000000000000000000000000
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| dqmul312 multiply 900000000000000000 900000000000   -> 810000000000000000000000000000
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| dqmul313 multiply 900000000000000000 9000000000000   -> 8100000000000000000000000000000
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| dqmul314 multiply 900000000000000000 90000000000000   -> 81000000000000000000000000000000
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| dqmul315 multiply 900000000000000000 900000000000000   -> 810000000000000000000000000000000
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| dqmul316 multiply 900000000000000000 9000000000000000   -> 8100000000000000000000000000000000
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| dqmul317 multiply 9000000000000000000 9000000000000000   -> 8.100000000000000000000000000000000E+34  Rounded
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| dqmul318 multiply 90000000000000000000 9000000000000000   -> 8.100000000000000000000000000000000E+35  Rounded
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| dqmul319 multiply 900000000000000000000 9000000000000000   -> 8.100000000000000000000000000000000E+36  Rounded
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| dqmul320 multiply 9000000000000000000000 9000000000000000   -> 8.100000000000000000000000000000000E+37  Rounded
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| dqmul321 multiply 90000000000000000000000 9000000000000000   -> 8.100000000000000000000000000000000E+38  Rounded
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| dqmul322 multiply 900000000000000000000000 9000000000000000   -> 8.100000000000000000000000000000000E+39  Rounded
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| dqmul323 multiply 9000000000000000000000000 9000000000000000   -> 8.100000000000000000000000000000000E+40  Rounded
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| 
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| -- tryzeros cases
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| dqmul504  multiply  0E-4260 1000E-4260  -> 0E-6176 Clamped
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| dqmul505  multiply  100E+4260 0E+4260   -> 0E+6111 Clamped
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| 
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| -- mixed with zeros
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| dqmul541 multiply  0    -1     -> -0
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| dqmul542 multiply -0    -1     ->  0
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| dqmul543 multiply  0     1     ->  0
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| dqmul544 multiply -0     1     -> -0
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| dqmul545 multiply -1     0     -> -0
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| dqmul546 multiply -1    -0     ->  0
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| dqmul547 multiply  1     0     ->  0
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| dqmul548 multiply  1    -0     -> -0
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| 
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| dqmul551 multiply  0.0  -1     -> -0.0
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| dqmul552 multiply -0.0  -1     ->  0.0
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| dqmul553 multiply  0.0   1     ->  0.0
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| dqmul554 multiply -0.0   1     -> -0.0
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| dqmul555 multiply -1.0   0     -> -0.0
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| dqmul556 multiply -1.0  -0     ->  0.0
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| dqmul557 multiply  1.0   0     ->  0.0
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| dqmul558 multiply  1.0  -0     -> -0.0
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| 
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| dqmul561 multiply  0    -1.0   -> -0.0
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| dqmul562 multiply -0    -1.0   ->  0.0
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| dqmul563 multiply  0     1.0   ->  0.0
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| dqmul564 multiply -0     1.0   -> -0.0
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| dqmul565 multiply -1     0.0   -> -0.0
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| dqmul566 multiply -1    -0.0   ->  0.0
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| dqmul567 multiply  1     0.0   ->  0.0
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| dqmul568 multiply  1    -0.0   -> -0.0
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| 
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| dqmul571 multiply  0.0  -1.0   -> -0.00
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| dqmul572 multiply -0.0  -1.0   ->  0.00
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| dqmul573 multiply  0.0   1.0   ->  0.00
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| dqmul574 multiply -0.0   1.0   -> -0.00
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| dqmul575 multiply -1.0   0.0   -> -0.00
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| dqmul576 multiply -1.0  -0.0   ->  0.00
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| dqmul577 multiply  1.0   0.0   ->  0.00
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| dqmul578 multiply  1.0  -0.0   -> -0.00
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| 
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| 
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| -- Specials
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| dqmul580 multiply  Inf  -Inf   -> -Infinity
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| dqmul581 multiply  Inf  -1000  -> -Infinity
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| dqmul582 multiply  Inf  -1     -> -Infinity
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| dqmul583 multiply  Inf  -0     ->  NaN  Invalid_operation
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| dqmul584 multiply  Inf   0     ->  NaN  Invalid_operation
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| dqmul585 multiply  Inf   1     ->  Infinity
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| dqmul586 multiply  Inf   1000  ->  Infinity
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| dqmul587 multiply  Inf   Inf   ->  Infinity
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| dqmul588 multiply -1000  Inf   -> -Infinity
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| dqmul589 multiply -Inf   Inf   -> -Infinity
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| dqmul590 multiply -1     Inf   -> -Infinity
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| dqmul591 multiply -0     Inf   ->  NaN  Invalid_operation
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| dqmul592 multiply  0     Inf   ->  NaN  Invalid_operation
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| dqmul593 multiply  1     Inf   ->  Infinity
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| dqmul594 multiply  1000  Inf   ->  Infinity
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| dqmul595 multiply  Inf   Inf   ->  Infinity
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| 
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| dqmul600 multiply -Inf  -Inf   ->  Infinity
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| dqmul601 multiply -Inf  -1000  ->  Infinity
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| dqmul602 multiply -Inf  -1     ->  Infinity
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| dqmul603 multiply -Inf  -0     ->  NaN  Invalid_operation
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| dqmul604 multiply -Inf   0     ->  NaN  Invalid_operation
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| dqmul605 multiply -Inf   1     -> -Infinity
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| dqmul606 multiply -Inf   1000  -> -Infinity
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| dqmul607 multiply -Inf   Inf   -> -Infinity
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| dqmul608 multiply -1000  Inf   -> -Infinity
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| dqmul609 multiply -Inf  -Inf   ->  Infinity
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| dqmul610 multiply -1    -Inf   ->  Infinity
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| dqmul611 multiply -0    -Inf   ->  NaN  Invalid_operation
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| dqmul612 multiply  0    -Inf   ->  NaN  Invalid_operation
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| dqmul613 multiply  1    -Inf   -> -Infinity
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| dqmul614 multiply  1000 -Inf   -> -Infinity
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| dqmul615 multiply  Inf  -Inf   -> -Infinity
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| 
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| dqmul621 multiply  NaN -Inf    ->  NaN
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| dqmul622 multiply  NaN -1000   ->  NaN
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| dqmul623 multiply  NaN -1      ->  NaN
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| dqmul624 multiply  NaN -0      ->  NaN
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| dqmul625 multiply  NaN  0      ->  NaN
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| dqmul626 multiply  NaN  1      ->  NaN
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| dqmul627 multiply  NaN  1000   ->  NaN
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| dqmul628 multiply  NaN  Inf    ->  NaN
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| dqmul629 multiply  NaN  NaN    ->  NaN
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| dqmul630 multiply -Inf  NaN    ->  NaN
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| dqmul631 multiply -1000 NaN    ->  NaN
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| dqmul632 multiply -1    NaN    ->  NaN
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| dqmul633 multiply -0    NaN    ->  NaN
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| dqmul634 multiply  0    NaN    ->  NaN
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| dqmul635 multiply  1    NaN    ->  NaN
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| dqmul636 multiply  1000 NaN    ->  NaN
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| dqmul637 multiply  Inf  NaN    ->  NaN
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| 
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| dqmul641 multiply  sNaN -Inf   ->  NaN  Invalid_operation
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| dqmul642 multiply  sNaN -1000  ->  NaN  Invalid_operation
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| dqmul643 multiply  sNaN -1     ->  NaN  Invalid_operation
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| dqmul644 multiply  sNaN -0     ->  NaN  Invalid_operation
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| dqmul645 multiply  sNaN  0     ->  NaN  Invalid_operation
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| dqmul646 multiply  sNaN  1     ->  NaN  Invalid_operation
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| dqmul647 multiply  sNaN  1000  ->  NaN  Invalid_operation
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| dqmul648 multiply  sNaN  NaN   ->  NaN  Invalid_operation
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| dqmul649 multiply  sNaN sNaN   ->  NaN  Invalid_operation
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| dqmul650 multiply  NaN  sNaN   ->  NaN  Invalid_operation
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| dqmul651 multiply -Inf  sNaN   ->  NaN  Invalid_operation
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| dqmul652 multiply -1000 sNaN   ->  NaN  Invalid_operation
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| dqmul653 multiply -1    sNaN   ->  NaN  Invalid_operation
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| dqmul654 multiply -0    sNaN   ->  NaN  Invalid_operation
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| dqmul655 multiply  0    sNaN   ->  NaN  Invalid_operation
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| dqmul656 multiply  1    sNaN   ->  NaN  Invalid_operation
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| dqmul657 multiply  1000 sNaN   ->  NaN  Invalid_operation
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| dqmul658 multiply  Inf  sNaN   ->  NaN  Invalid_operation
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| dqmul659 multiply  NaN  sNaN   ->  NaN  Invalid_operation
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| 
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| -- propagating NaNs
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| dqmul661 multiply  NaN9 -Inf   ->  NaN9
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| dqmul662 multiply  NaN8  999   ->  NaN8
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| dqmul663 multiply  NaN71 Inf   ->  NaN71
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| dqmul664 multiply  NaN6  NaN5  ->  NaN6
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| dqmul665 multiply -Inf   NaN4  ->  NaN4
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| dqmul666 multiply -999   NaN33 ->  NaN33
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| dqmul667 multiply  Inf   NaN2  ->  NaN2
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| 
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| dqmul671 multiply  sNaN99 -Inf    ->  NaN99 Invalid_operation
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| dqmul672 multiply  sNaN98 -11     ->  NaN98 Invalid_operation
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| dqmul673 multiply  sNaN97  NaN    ->  NaN97 Invalid_operation
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| dqmul674 multiply  sNaN16 sNaN94  ->  NaN16 Invalid_operation
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| dqmul675 multiply  NaN95  sNaN93  ->  NaN93 Invalid_operation
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| dqmul676 multiply -Inf    sNaN92  ->  NaN92 Invalid_operation
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| dqmul677 multiply  088    sNaN91  ->  NaN91 Invalid_operation
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| dqmul678 multiply  Inf    sNaN90  ->  NaN90 Invalid_operation
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| dqmul679 multiply  NaN    sNaN89  ->  NaN89 Invalid_operation
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| 
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| dqmul681 multiply -NaN9 -Inf   -> -NaN9
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| dqmul682 multiply -NaN8  999   -> -NaN8
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| dqmul683 multiply -NaN71 Inf   -> -NaN71
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| dqmul684 multiply -NaN6 -NaN5  -> -NaN6
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| dqmul685 multiply -Inf  -NaN4  -> -NaN4
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| dqmul686 multiply -999  -NaN33 -> -NaN33
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| dqmul687 multiply  Inf  -NaN2  -> -NaN2
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| 
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| dqmul691 multiply -sNaN99 -Inf    -> -NaN99 Invalid_operation
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| dqmul692 multiply -sNaN98 -11     -> -NaN98 Invalid_operation
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| dqmul693 multiply -sNaN97  NaN    -> -NaN97 Invalid_operation
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| dqmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
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| dqmul695 multiply -NaN95  -sNaN93 -> -NaN93 Invalid_operation
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| dqmul696 multiply -Inf    -sNaN92 -> -NaN92 Invalid_operation
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| dqmul697 multiply  088    -sNaN91 -> -NaN91 Invalid_operation
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| dqmul698 multiply  Inf    -sNaN90 -> -NaN90 Invalid_operation
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| dqmul699 multiply -NaN    -sNaN89 -> -NaN89 Invalid_operation
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| 
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| dqmul701 multiply -NaN  -Inf   -> -NaN
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| dqmul702 multiply -NaN   999   -> -NaN
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| dqmul703 multiply -NaN   Inf   -> -NaN
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| dqmul704 multiply -NaN  -NaN   -> -NaN
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| dqmul705 multiply -Inf  -NaN0  -> -NaN
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| dqmul706 multiply -999  -NaN   -> -NaN
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| dqmul707 multiply  Inf  -NaN   -> -NaN
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| 
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| dqmul711 multiply -sNaN   -Inf    -> -NaN Invalid_operation
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| dqmul712 multiply -sNaN   -11     -> -NaN Invalid_operation
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| dqmul713 multiply -sNaN00  NaN    -> -NaN Invalid_operation
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| dqmul714 multiply -sNaN   -sNaN   -> -NaN Invalid_operation
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| dqmul715 multiply -NaN    -sNaN   -> -NaN Invalid_operation
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| dqmul716 multiply -Inf    -sNaN   -> -NaN Invalid_operation
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| dqmul717 multiply  088    -sNaN   -> -NaN Invalid_operation
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| dqmul718 multiply  Inf    -sNaN   -> -NaN Invalid_operation
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| dqmul719 multiply -NaN    -sNaN   -> -NaN Invalid_operation
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| 
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| -- overflow and underflow tests .. note subnormal results
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| -- signs
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| dqmul751 multiply  1e+4277  1e+3311 ->  Infinity Overflow Inexact Rounded
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| dqmul752 multiply  1e+4277 -1e+3311 -> -Infinity Overflow Inexact Rounded
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| dqmul753 multiply -1e+4277  1e+3311 -> -Infinity Overflow Inexact Rounded
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| dqmul754 multiply -1e+4277 -1e+3311 ->  Infinity Overflow Inexact Rounded
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| dqmul755 multiply  1e-4277  1e-3311 ->  0E-6176 Underflow Subnormal Inexact Rounded Clamped
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| dqmul756 multiply  1e-4277 -1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
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| dqmul757 multiply -1e-4277  1e-3311 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
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| dqmul758 multiply -1e-4277 -1e-3311 ->  0E-6176 Underflow Subnormal Inexact Rounded Clamped
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| 
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| -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
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| dqmul760 multiply 1e-6069 1e-101 -> 1E-6170 Subnormal
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| dqmul761 multiply 1e-6069 1e-102 -> 1E-6171 Subnormal
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| dqmul762 multiply 1e-6069 1e-103 -> 1E-6172 Subnormal
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| dqmul763 multiply 1e-6069 1e-104 -> 1E-6173 Subnormal
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| dqmul764 multiply 1e-6069 1e-105 -> 1E-6174 Subnormal
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| dqmul765 multiply 1e-6069 1e-106 -> 1E-6175 Subnormal
 | |
| dqmul766 multiply 1e-6069 1e-107 -> 1E-6176 Subnormal
 | |
| dqmul767 multiply 1e-6069 1e-108 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
 | |
| dqmul768 multiply 1e-6069 1e-109 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
 | |
| dqmul769 multiply 1e-6069 1e-110 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
 | |
| -- [no equivalent of 'subnormal' for overflow]
 | |
| dqmul770 multiply 1e+40 1e+6101 -> 1.000000000000000000000000000000E+6141 Clamped
 | |
| dqmul771 multiply 1e+40 1e+6102 -> 1.0000000000000000000000000000000E+6142  Clamped
 | |
| dqmul772 multiply 1e+40 1e+6103 -> 1.00000000000000000000000000000000E+6143  Clamped
 | |
| dqmul773 multiply 1e+40 1e+6104 -> 1.000000000000000000000000000000000E+6144  Clamped
 | |
| dqmul774 multiply 1e+40 1e+6105 -> Infinity Overflow Inexact Rounded
 | |
| dqmul775 multiply 1e+40 1e+6106 -> Infinity Overflow Inexact Rounded
 | |
| dqmul776 multiply 1e+40 1e+6107 -> Infinity Overflow Inexact Rounded
 | |
| dqmul777 multiply 1e+40 1e+6108 -> Infinity Overflow Inexact Rounded
 | |
| dqmul778 multiply 1e+40 1e+6109 -> Infinity Overflow Inexact Rounded
 | |
| dqmul779 multiply 1e+40 1e+6110 -> Infinity Overflow Inexact Rounded
 | |
| 
 | |
| dqmul801 multiply  1.0000E-6172  1     -> 1.0000E-6172 Subnormal
 | |
| dqmul802 multiply  1.000E-6172   1e-1  -> 1.000E-6173  Subnormal
 | |
| dqmul803 multiply  1.00E-6172    1e-2  -> 1.00E-6174   Subnormal
 | |
| dqmul804 multiply  1.0E-6172     1e-3  -> 1.0E-6175    Subnormal
 | |
| dqmul805 multiply  1.0E-6172     1e-4  -> 1E-6176     Subnormal Rounded
 | |
| dqmul806 multiply  1.3E-6172     1e-4  -> 1E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul807 multiply  1.5E-6172     1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul808 multiply  1.7E-6172     1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul809 multiply  2.3E-6172     1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul810 multiply  2.5E-6172     1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul811 multiply  2.7E-6172     1e-4  -> 3E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul812 multiply  1.49E-6172    1e-4  -> 1E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul813 multiply  1.50E-6172    1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul814 multiply  1.51E-6172    1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul815 multiply  2.49E-6172    1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul816 multiply  2.50E-6172    1e-4  -> 2E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul817 multiply  2.51E-6172    1e-4  -> 3E-6176     Underflow Subnormal Inexact Rounded
 | |
| 
 | |
| dqmul818 multiply  1E-6172       1e-4  -> 1E-6176     Subnormal
 | |
| dqmul819 multiply  3E-6172       1e-5  -> 0E-6176     Underflow Subnormal Inexact Rounded Clamped
 | |
| dqmul820 multiply  5E-6172       1e-5  -> 0E-6176     Underflow Subnormal Inexact Rounded Clamped
 | |
| dqmul821 multiply  7E-6172       1e-5  -> 1E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul822 multiply  9E-6172       1e-5  -> 1E-6176     Underflow Subnormal Inexact Rounded
 | |
| dqmul823 multiply  9.9E-6172     1e-5  -> 1E-6176     Underflow Subnormal Inexact Rounded
 | |
| 
 | |
| dqmul824 multiply  1E-6172      -1e-4  -> -1E-6176    Subnormal
 | |
| dqmul825 multiply  3E-6172      -1e-5  -> -0E-6176    Underflow Subnormal Inexact Rounded Clamped
 | |
| dqmul826 multiply -5E-6172       1e-5  -> -0E-6176    Underflow Subnormal Inexact Rounded Clamped
 | |
| dqmul827 multiply  7E-6172      -1e-5  -> -1E-6176    Underflow Subnormal Inexact Rounded
 | |
| dqmul828 multiply -9E-6172       1e-5  -> -1E-6176    Underflow Subnormal Inexact Rounded
 | |
| dqmul829 multiply  9.9E-6172    -1e-5  -> -1E-6176    Underflow Subnormal Inexact Rounded
 | |
| dqmul830 multiply  3.0E-6172    -1e-5  -> -0E-6176    Underflow Subnormal Inexact Rounded Clamped
 | |
| 
 | |
| dqmul831 multiply  1.0E-5977     1e-200 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
 | |
| dqmul832 multiply  1.0E-5977     1e-199 -> 1E-6176    Subnormal Rounded
 | |
| dqmul833 multiply  1.0E-5977     1e-198 -> 1.0E-6175    Subnormal
 | |
| dqmul834 multiply  2.0E-5977     2e-198 -> 4.0E-6175    Subnormal
 | |
| dqmul835 multiply  4.0E-5977     4e-198 -> 1.60E-6174   Subnormal
 | |
| dqmul836 multiply 10.0E-5977    10e-198 -> 1.000E-6173  Subnormal
 | |
| dqmul837 multiply 30.0E-5977    30e-198 -> 9.000E-6173  Subnormal
 | |
| dqmul838 multiply 40.0E-5982    40e-166 -> 1.6000E-6145 Subnormal
 | |
| dqmul839 multiply 40.0E-5982    40e-165 -> 1.6000E-6144 Subnormal
 | |
| dqmul840 multiply 40.0E-5982    40e-164 -> 1.6000E-6143
 | |
| 
 | |
| -- Long operand overflow may be a different path
 | |
| dqmul870 multiply 100  9.999E+6143     ->  Infinity Inexact Overflow Rounded
 | |
| dqmul871 multiply 100 -9.999E+6143     -> -Infinity Inexact Overflow Rounded
 | |
| dqmul872 multiply      9.999E+6143 100 ->  Infinity Inexact Overflow Rounded
 | |
| dqmul873 multiply     -9.999E+6143 100 -> -Infinity Inexact Overflow Rounded
 | |
| 
 | |
| -- check for double-rounded subnormals
 | |
| dqmul881 multiply  1.2347E-6133 1.2347E-40  ->  1.524E-6173 Inexact Rounded Subnormal Underflow
 | |
| dqmul882 multiply  1.234E-6133 1.234E-40    ->  1.523E-6173 Inexact Rounded Subnormal Underflow
 | |
| dqmul883 multiply  1.23E-6133  1.23E-40     ->  1.513E-6173 Inexact Rounded Subnormal Underflow
 | |
| dqmul884 multiply  1.2E-6133   1.2E-40      ->  1.44E-6173  Subnormal
 | |
| dqmul885 multiply  1.2E-6133   1.2E-41      ->  1.44E-6174  Subnormal
 | |
| dqmul886 multiply  1.2E-6133   1.2E-42      ->  1.4E-6175   Subnormal Inexact Rounded Underflow
 | |
| dqmul887 multiply  1.2E-6133   1.3E-42      ->  1.6E-6175   Subnormal Inexact Rounded Underflow
 | |
| dqmul888 multiply  1.3E-6133   1.3E-42      ->  1.7E-6175   Subnormal Inexact Rounded Underflow
 | |
| dqmul889 multiply  1.3E-6133   1.3E-43      ->    2E-6176   Subnormal Inexact Rounded Underflow
 | |
| dqmul890 multiply  1.3E-6134   1.3E-43      ->    0E-6176   Clamped Subnormal Inexact Rounded Underflow
 | |
| 
 | |
| dqmul891 multiply  1.2345E-39    1.234E-6133 ->  1.5234E-6172 Inexact Rounded Subnormal Underflow
 | |
| dqmul892 multiply  1.23456E-39   1.234E-6133 ->  1.5234E-6172 Inexact Rounded Subnormal Underflow
 | |
| dqmul893 multiply  1.2345E-40   1.234E-6133 ->  1.523E-6173  Inexact Rounded Subnormal Underflow
 | |
| dqmul894 multiply  1.23456E-40  1.234E-6133 ->  1.523E-6173  Inexact Rounded Subnormal Underflow
 | |
| dqmul895 multiply  1.2345E-41   1.234E-6133 ->  1.52E-6174   Inexact Rounded Subnormal Underflow
 | |
| dqmul896 multiply  1.23456E-41  1.234E-6133 ->  1.52E-6174   Inexact Rounded Subnormal Underflow
 | |
| 
 | |
| -- Now explore the case where we get a normal result with Underflow
 | |
| -- prove operands are exact
 | |
| dqmul906 multiply  9.999999999999999999999999999999999E-6143  1                       -> 9.999999999999999999999999999999999E-6143
 | |
| dqmul907 multiply                       1  0.09999999999999999999999999999999999     -> 0.09999999999999999999999999999999999
 | |
| -- the next rounds to Nmin
 | |
| dqmul908 multiply  9.999999999999999999999999999999999E-6143  0.09999999999999999999999999999999999     -> 1.000000000000000000000000000000000E-6143 Underflow Inexact Subnormal Rounded
 | |
| 
 | |
| -- hugest
 | |
| dqmul909 multiply 9999999999999999999999999999999999 9999999999999999999999999999999999 -> 9.999999999999999999999999999999998E+67 Inexact Rounded
 | |
| -- VG case
 | |
| dqmul910 multiply 8.81125000000001349436E-1548 8.000000000000000000E-1550 -> 7.049000000000010795488000000000000E-3097 Rounded
 | |
| 
 | |
| -- Examples from SQL proposal (Krishna Kulkarni)
 | |
| precision:   34
 | |
| rounding:    half_up
 | |
| maxExponent: 6144
 | |
| minExponent: -6143
 | |
| dqmul911  multiply 130E-2  120E-2 -> 1.5600
 | |
| dqmul912  multiply 130E-2  12E-1  -> 1.560
 | |
| dqmul913  multiply 130E-2  1E0    -> 1.30
 | |
| dqmul914  multiply 1E2     1E4    -> 1E+6
 | |
| 
 | |
| -- power-of-ten edge cases
 | |
| dqmul1001 multiply  1      10               -> 10
 | |
| dqmul1002 multiply  1      100              -> 100
 | |
| dqmul1003 multiply  1      1000             -> 1000
 | |
| dqmul1004 multiply  1      10000            -> 10000
 | |
| dqmul1005 multiply  1      100000           -> 100000
 | |
| dqmul1006 multiply  1      1000000          -> 1000000
 | |
| dqmul1007 multiply  1      10000000         -> 10000000
 | |
| dqmul1008 multiply  1      100000000        -> 100000000
 | |
| dqmul1009 multiply  1      1000000000       -> 1000000000
 | |
| dqmul1010 multiply  1      10000000000      -> 10000000000
 | |
| dqmul1011 multiply  1      100000000000     -> 100000000000
 | |
| dqmul1012 multiply  1      1000000000000    -> 1000000000000
 | |
| dqmul1013 multiply  1      10000000000000   -> 10000000000000
 | |
| dqmul1014 multiply  1      100000000000000  -> 100000000000000
 | |
| dqmul1015 multiply  1      1000000000000000 -> 1000000000000000
 | |
| 
 | |
| dqmul1016 multiply  1      1000000000000000000 -> 1000000000000000000
 | |
| dqmul1017 multiply  1      100000000000000000000000000 -> 100000000000000000000000000
 | |
| dqmul1018 multiply  1      1000000000000000000000000000 -> 1000000000000000000000000000
 | |
| dqmul1019 multiply  1      10000000000000000000000000000 -> 10000000000000000000000000000
 | |
| dqmul1020 multiply  1      1000000000000000000000000000000000 -> 1000000000000000000000000000000000
 | |
| 
 | |
| dqmul1021 multiply  10     1                -> 10
 | |
| dqmul1022 multiply  10     10               -> 100
 | |
| dqmul1023 multiply  10     100              -> 1000
 | |
| dqmul1024 multiply  10     1000             -> 10000
 | |
| dqmul1025 multiply  10     10000            -> 100000
 | |
| dqmul1026 multiply  10     100000           -> 1000000
 | |
| dqmul1027 multiply  10     1000000          -> 10000000
 | |
| dqmul1028 multiply  10     10000000         -> 100000000
 | |
| dqmul1029 multiply  10     100000000        -> 1000000000
 | |
| dqmul1030 multiply  10     1000000000       -> 10000000000
 | |
| dqmul1031 multiply  10     10000000000      -> 100000000000
 | |
| dqmul1032 multiply  10     100000000000     -> 1000000000000
 | |
| dqmul1033 multiply  10     1000000000000    -> 10000000000000
 | |
| dqmul1034 multiply  10     10000000000000   -> 100000000000000
 | |
| dqmul1035 multiply  10     100000000000000  -> 1000000000000000
 | |
| 
 | |
| dqmul1036 multiply  10     100000000000000000 -> 1000000000000000000
 | |
| dqmul1037 multiply  10     10000000000000000000000000 -> 100000000000000000000000000
 | |
| dqmul1038 multiply  10     100000000000000000000000000 -> 1000000000000000000000000000
 | |
| dqmul1039 multiply  10     1000000000000000000000000000 -> 10000000000000000000000000000
 | |
| dqmul1040 multiply  10     100000000000000000000000000000000 -> 1000000000000000000000000000000000
 | |
| 
 | |
| dqmul1041 multiply  100    0.1              -> 10.0
 | |
| dqmul1042 multiply  100    1                -> 100
 | |
| dqmul1043 multiply  100    10               -> 1000
 | |
| dqmul1044 multiply  100    100              -> 10000
 | |
| dqmul1045 multiply  100    1000             -> 100000
 | |
| dqmul1046 multiply  100    10000            -> 1000000
 | |
| dqmul1047 multiply  100    100000           -> 10000000
 | |
| dqmul1048 multiply  100    1000000          -> 100000000
 | |
| dqmul1049 multiply  100    10000000         -> 1000000000
 | |
| dqmul1050 multiply  100    100000000        -> 10000000000
 | |
| dqmul1051 multiply  100    1000000000       -> 100000000000
 | |
| dqmul1052 multiply  100    10000000000      -> 1000000000000
 | |
| dqmul1053 multiply  100    100000000000     -> 10000000000000
 | |
| dqmul1054 multiply  100    1000000000000    -> 100000000000000
 | |
| dqmul1055 multiply  100    10000000000000   -> 1000000000000000
 | |
| 
 | |
| dqmul1056 multiply  100    10000000000000000 -> 1000000000000000000
 | |
| dqmul1057 multiply  100    1000000000000000000000000 -> 100000000000000000000000000
 | |
| dqmul1058 multiply  100    10000000000000000000000000 -> 1000000000000000000000000000
 | |
| dqmul1059 multiply  100    100000000000000000000000000 -> 10000000000000000000000000000
 | |
| dqmul1060 multiply  100    10000000000000000000000000000000 -> 1000000000000000000000000000000000
 | |
| 
 | |
| dqmul1061 multiply  1000   0.01             -> 10.00
 | |
| dqmul1062 multiply  1000   0.1              -> 100.0
 | |
| dqmul1063 multiply  1000   1                -> 1000
 | |
| dqmul1064 multiply  1000   10               -> 10000
 | |
| dqmul1065 multiply  1000   100              -> 100000
 | |
| dqmul1066 multiply  1000   1000             -> 1000000
 | |
| dqmul1067 multiply  1000   10000            -> 10000000
 | |
| dqmul1068 multiply  1000   100000           -> 100000000
 | |
| dqmul1069 multiply  1000   1000000          -> 1000000000
 | |
| dqmul1070 multiply  1000   10000000         -> 10000000000
 | |
| dqmul1071 multiply  1000   100000000        -> 100000000000
 | |
| dqmul1072 multiply  1000   1000000000       -> 1000000000000
 | |
| dqmul1073 multiply  1000   10000000000      -> 10000000000000
 | |
| dqmul1074 multiply  1000   100000000000     -> 100000000000000
 | |
| dqmul1075 multiply  1000   1000000000000    -> 1000000000000000
 | |
| 
 | |
| dqmul1076 multiply  1000   1000000000000000 -> 1000000000000000000
 | |
| dqmul1077 multiply  1000   100000000000000000000000 -> 100000000000000000000000000
 | |
| dqmul1078 multiply  1000   1000000000000000000000000 -> 1000000000000000000000000000
 | |
| dqmul1079 multiply  1000   10000000000000000000000000 -> 10000000000000000000000000000
 | |
| dqmul1080 multiply  1000   1000000000000000000000000000000 -> 1000000000000000000000000000000000
 | |
| 
 | |
| dqmul1081 multiply  10000  0.001            -> 10.000
 | |
| dqmul1082 multiply  10000  0.01             -> 100.00
 | |
| dqmul1083 multiply  10000  0.1              -> 1000.0
 | |
| dqmul1084 multiply  10000  1                -> 10000
 | |
| dqmul1085 multiply  10000  10               -> 100000
 | |
| dqmul1086 multiply  10000  100              -> 1000000
 | |
| dqmul1087 multiply  10000  1000             -> 10000000
 | |
| dqmul1088 multiply  10000  10000            -> 100000000
 | |
| dqmul1089 multiply  10000  100000           -> 1000000000
 | |
| dqmul1090 multiply  10000  1000000          -> 10000000000
 | |
| dqmul1091 multiply  10000  10000000         -> 100000000000
 | |
| dqmul1092 multiply  10000  100000000        -> 1000000000000
 | |
| dqmul1093 multiply  10000  1000000000       -> 10000000000000
 | |
| dqmul1094 multiply  10000  10000000000      -> 100000000000000
 | |
| dqmul1095 multiply  10000  100000000000     -> 1000000000000000
 | |
| 
 | |
| dqmul1096 multiply  10000  100000000000000 -> 1000000000000000000
 | |
| dqmul1097 multiply  10000  10000000000000000000000 -> 100000000000000000000000000
 | |
| dqmul1098 multiply  10000  100000000000000000000000 -> 1000000000000000000000000000
 | |
| dqmul1099 multiply  10000  1000000000000000000000000 -> 10000000000000000000000000000
 | |
| dqmul1100 multiply  10000  100000000000000000000000000000 -> 1000000000000000000000000000000000
 | |
| 
 | |
| dqmul1107 multiply  10000   99999999999     ->  999999999990000
 | |
| dqmul1108 multiply  10000   99999999999     ->  999999999990000
 | |
| 
 | |
| -- Null tests
 | |
| dqmul9990 multiply 10  # -> NaN Invalid_operation
 | |
| dqmul9991 multiply  # 10 -> NaN Invalid_operation
 | |
| 
 |