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			630 lines
		
	
	
		
			34 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| ------------------------------------------------------------------------
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| -- ddSubtract.decTest -- decDouble subtraction                        --
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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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| -- [first group are 'quick confidence check']
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| ddsub001 subtract  0   0  -> '0'
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| ddsub002 subtract  1   1  -> '0'
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| ddsub003 subtract  1   2  -> '-1'
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| ddsub004 subtract  2   1  -> '1'
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| ddsub005 subtract  2   2  -> '0'
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| ddsub006 subtract  3   2  -> '1'
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| ddsub007 subtract  2   3  -> '-1'
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| 
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| ddsub011 subtract -0   0  -> '-0'
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| ddsub012 subtract -1   1  -> '-2'
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| ddsub013 subtract -1   2  -> '-3'
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| ddsub014 subtract -2   1  -> '-3'
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| ddsub015 subtract -2   2  -> '-4'
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| ddsub016 subtract -3   2  -> '-5'
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| ddsub017 subtract -2   3  -> '-5'
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| 
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| ddsub021 subtract  0  -0  -> '0'
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| ddsub022 subtract  1  -1  -> '2'
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| ddsub023 subtract  1  -2  -> '3'
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| ddsub024 subtract  2  -1  -> '3'
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| ddsub025 subtract  2  -2  -> '4'
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| ddsub026 subtract  3  -2  -> '5'
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| ddsub027 subtract  2  -3  -> '5'
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| 
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| ddsub030 subtract  11  1  -> 10
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| ddsub031 subtract  10  1  ->  9
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| ddsub032 subtract  9   1  ->  8
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| ddsub033 subtract  1   1  ->  0
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| ddsub034 subtract  0   1  -> -1
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| ddsub035 subtract -1   1  -> -2
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| ddsub036 subtract -9   1  -> -10
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| ddsub037 subtract -10  1  -> -11
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| ddsub038 subtract -11  1  -> -12
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| 
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| ddsub040 subtract '5.75' '3.3'  -> '2.45'
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| ddsub041 subtract '5'    '-3'   -> '8'
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| ddsub042 subtract '-5'   '-3'   -> '-2'
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| ddsub043 subtract '-7'   '2.5'  -> '-9.5'
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| ddsub044 subtract '0.7'  '0.3'  -> '0.4'
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| ddsub045 subtract '1.3'  '0.3'  -> '1.0'
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| ddsub046 subtract '1.25' '1.25' -> '0.00'
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| 
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| ddsub050 subtract '1.23456789'    '1.00000000' -> '0.23456789'
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| ddsub051 subtract '1.23456789'    '1.00000089' -> '0.23456700'
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| 
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| ddsub060 subtract '70'    '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
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| ddsub061 subtract '700'    '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
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| ddsub062 subtract '7000'    '10000e+16' -> '-9.999999999999999E+19' Inexact Rounded
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| ddsub063 subtract '70000'    '10000e+16' -> '-9.999999999999993E+19' Rounded
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| ddsub064 subtract '700000'    '10000e+16' -> '-9.999999999999930E+19' Rounded
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|   -- symmetry:
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| ddsub065 subtract '10000e+16'    '70' -> '1.000000000000000E+20' Inexact Rounded
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| ddsub066 subtract '10000e+16'    '700' -> '1.000000000000000E+20' Inexact Rounded
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| ddsub067 subtract '10000e+16'    '7000' -> '9.999999999999999E+19' Inexact Rounded
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| ddsub068 subtract '10000e+16'    '70000' -> '9.999999999999993E+19' Rounded
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| ddsub069 subtract '10000e+16'    '700000' -> '9.999999999999930E+19' Rounded
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| 
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|   -- some of the next group are really constructor tests
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| ddsub090 subtract '00.0'    '0.0'  -> '0.0'
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| ddsub091 subtract '00.0'    '0.00' -> '0.00'
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| ddsub092 subtract '0.00'    '00.0' -> '0.00'
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| ddsub093 subtract '00.0'    '0.00' -> '0.00'
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| ddsub094 subtract '0.00'    '00.0' -> '0.00'
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| ddsub095 subtract '3'    '.3'   -> '2.7'
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| ddsub096 subtract '3.'   '.3'   -> '2.7'
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| ddsub097 subtract '3.0'  '.3'   -> '2.7'
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| ddsub098 subtract '3.00' '.3'   -> '2.70'
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| ddsub099 subtract '3'    '3'    -> '0'
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| ddsub100 subtract '3'    '+3'   -> '0'
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| ddsub101 subtract '3'    '-3'   -> '6'
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| ddsub102 subtract '3'    '0.3'  -> '2.7'
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| ddsub103 subtract '3.'   '0.3'  -> '2.7'
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| ddsub104 subtract '3.0'  '0.3'  -> '2.7'
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| ddsub105 subtract '3.00' '0.3'  -> '2.70'
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| ddsub106 subtract '3'    '3.0'  -> '0.0'
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| ddsub107 subtract '3'    '+3.0' -> '0.0'
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| ddsub108 subtract '3'    '-3.0' -> '6.0'
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| 
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| -- the above all from add; massaged and extended.  Now some new ones...
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| -- [particularly important for comparisons]
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| -- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7
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| -- with input rounding.
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| ddsub120 subtract  '10.23456784'    '10.23456789'  -> '-5E-8'
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| ddsub121 subtract  '10.23456785'    '10.23456789'  -> '-4E-8'
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| ddsub122 subtract  '10.23456786'    '10.23456789'  -> '-3E-8'
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| ddsub123 subtract  '10.23456787'    '10.23456789'  -> '-2E-8'
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| ddsub124 subtract  '10.23456788'    '10.23456789'  -> '-1E-8'
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| ddsub125 subtract  '10.23456789'    '10.23456789'  -> '0E-8'
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| ddsub126 subtract  '10.23456790'    '10.23456789'  -> '1E-8'
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| ddsub127 subtract  '10.23456791'    '10.23456789'  -> '2E-8'
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| ddsub128 subtract  '10.23456792'    '10.23456789'  -> '3E-8'
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| ddsub129 subtract  '10.23456793'    '10.23456789'  -> '4E-8'
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| ddsub130 subtract  '10.23456794'    '10.23456789'  -> '5E-8'
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| ddsub131 subtract  '10.23456781'    '10.23456786'  -> '-5E-8'
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| ddsub132 subtract  '10.23456782'    '10.23456786'  -> '-4E-8'
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| ddsub133 subtract  '10.23456783'    '10.23456786'  -> '-3E-8'
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| ddsub134 subtract  '10.23456784'    '10.23456786'  -> '-2E-8'
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| ddsub135 subtract  '10.23456785'    '10.23456786'  -> '-1E-8'
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| ddsub136 subtract  '10.23456786'    '10.23456786'  -> '0E-8'
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| ddsub137 subtract  '10.23456787'    '10.23456786'  -> '1E-8'
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| ddsub138 subtract  '10.23456788'    '10.23456786'  -> '2E-8'
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| ddsub139 subtract  '10.23456789'    '10.23456786'  -> '3E-8'
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| ddsub140 subtract  '10.23456790'    '10.23456786'  -> '4E-8'
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| ddsub141 subtract  '10.23456791'    '10.23456786'  -> '5E-8'
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| ddsub142 subtract  '1'              '0.999999999'  -> '1E-9'
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| ddsub143 subtract  '0.999999999'    '1'            -> '-1E-9'
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| ddsub144 subtract  '-10.23456780'   '-10.23456786' -> '6E-8'
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| ddsub145 subtract  '-10.23456790'   '-10.23456786' -> '-4E-8'
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| ddsub146 subtract  '-10.23456791'   '-10.23456786' -> '-5E-8'
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| 
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| -- additional scaled arithmetic tests [0.97 problem]
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| ddsub160 subtract '0'     '.1'      -> '-0.1'
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| ddsub161 subtract '00'    '.97983'  -> '-0.97983'
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| ddsub162 subtract '0'     '.9'      -> '-0.9'
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| ddsub163 subtract '0'     '0.102'   -> '-0.102'
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| ddsub164 subtract '0'     '.4'      -> '-0.4'
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| ddsub165 subtract '0'     '.307'    -> '-0.307'
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| ddsub166 subtract '0'     '.43822'  -> '-0.43822'
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| ddsub167 subtract '0'     '.911'    -> '-0.911'
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| ddsub168 subtract '.0'    '.02'     -> '-0.02'
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| ddsub169 subtract '00'    '.392'    -> '-0.392'
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| ddsub170 subtract '0'     '.26'     -> '-0.26'
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| ddsub171 subtract '0'     '0.51'    -> '-0.51'
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| ddsub172 subtract '0'     '.2234'   -> '-0.2234'
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| ddsub173 subtract '0'     '.2'      -> '-0.2'
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| ddsub174 subtract '.0'    '.0008'   -> '-0.0008'
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| -- 0. on left
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| ddsub180 subtract '0.0'     '-.1'      -> '0.1'
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| ddsub181 subtract '0.00'    '-.97983'  -> '0.97983'
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| ddsub182 subtract '0.0'     '-.9'      -> '0.9'
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| ddsub183 subtract '0.0'     '-0.102'   -> '0.102'
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| ddsub184 subtract '0.0'     '-.4'      -> '0.4'
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| ddsub185 subtract '0.0'     '-.307'    -> '0.307'
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| ddsub186 subtract '0.0'     '-.43822'  -> '0.43822'
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| ddsub187 subtract '0.0'     '-.911'    -> '0.911'
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| ddsub188 subtract '0.0'     '-.02'     -> '0.02'
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| ddsub189 subtract '0.00'    '-.392'    -> '0.392'
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| ddsub190 subtract '0.0'     '-.26'     -> '0.26'
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| ddsub191 subtract '0.0'     '-0.51'    -> '0.51'
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| ddsub192 subtract '0.0'     '-.2234'   -> '0.2234'
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| ddsub193 subtract '0.0'     '-.2'      -> '0.2'
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| ddsub194 subtract '0.0'     '-.0008'   -> '0.0008'
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| -- negatives of same
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| ddsub200 subtract '0'     '-.1'      -> '0.1'
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| ddsub201 subtract '00'    '-.97983'  -> '0.97983'
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| ddsub202 subtract '0'     '-.9'      -> '0.9'
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| ddsub203 subtract '0'     '-0.102'   -> '0.102'
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| ddsub204 subtract '0'     '-.4'      -> '0.4'
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| ddsub205 subtract '0'     '-.307'    -> '0.307'
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| ddsub206 subtract '0'     '-.43822'  -> '0.43822'
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| ddsub207 subtract '0'     '-.911'    -> '0.911'
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| ddsub208 subtract '.0'    '-.02'     -> '0.02'
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| ddsub209 subtract '00'    '-.392'    -> '0.392'
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| ddsub210 subtract '0'     '-.26'     -> '0.26'
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| ddsub211 subtract '0'     '-0.51'    -> '0.51'
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| ddsub212 subtract '0'     '-.2234'   -> '0.2234'
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| ddsub213 subtract '0'     '-.2'      -> '0.2'
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| ddsub214 subtract '.0'    '-.0008'   -> '0.0008'
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| 
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| -- more fixed, LHS swaps [really the same as testcases under add]
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| ddsub220 subtract '-56267E-12' 0  -> '-5.6267E-8'
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| ddsub221 subtract '-56267E-11' 0  -> '-5.6267E-7'
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| ddsub222 subtract '-56267E-10' 0  -> '-0.0000056267'
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| ddsub223 subtract '-56267E-9'  0  -> '-0.000056267'
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| ddsub224 subtract '-56267E-8'  0  -> '-0.00056267'
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| ddsub225 subtract '-56267E-7'  0  -> '-0.0056267'
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| ddsub226 subtract '-56267E-6'  0  -> '-0.056267'
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| ddsub227 subtract '-56267E-5'  0  -> '-0.56267'
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| ddsub228 subtract '-56267E-2'  0  -> '-562.67'
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| ddsub229 subtract '-56267E-1'  0  -> '-5626.7'
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| ddsub230 subtract '-56267E-0'  0  -> '-56267'
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| -- symmetry ...
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| ddsub240 subtract 0 '-56267E-12'  -> '5.6267E-8'
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| ddsub241 subtract 0 '-56267E-11'  -> '5.6267E-7'
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| ddsub242 subtract 0 '-56267E-10'  -> '0.0000056267'
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| ddsub243 subtract 0 '-56267E-9'   -> '0.000056267'
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| ddsub244 subtract 0 '-56267E-8'   -> '0.00056267'
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| ddsub245 subtract 0 '-56267E-7'   -> '0.0056267'
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| ddsub246 subtract 0 '-56267E-6'   -> '0.056267'
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| ddsub247 subtract 0 '-56267E-5'   -> '0.56267'
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| ddsub248 subtract 0 '-56267E-2'   -> '562.67'
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| ddsub249 subtract 0 '-56267E-1'   -> '5626.7'
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| ddsub250 subtract 0 '-56267E-0'   -> '56267'
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| 
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| -- now some more from the 'new' add
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| ddsub301 subtract '1.23456789'  '1.00000000' -> '0.23456789'
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| ddsub302 subtract '1.23456789'  '1.00000011' -> '0.23456778'
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| 
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| -- some carrying effects
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| ddsub321 subtract '0.9998'  '0.0000' -> '0.9998'
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| ddsub322 subtract '0.9998'  '0.0001' -> '0.9997'
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| ddsub323 subtract '0.9998'  '0.0002' -> '0.9996'
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| ddsub324 subtract '0.9998'  '0.0003' -> '0.9995'
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| ddsub325 subtract '0.9998'  '-0.0000' -> '0.9998'
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| ddsub326 subtract '0.9998'  '-0.0001' -> '0.9999'
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| ddsub327 subtract '0.9998'  '-0.0002' -> '1.0000'
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| ddsub328 subtract '0.9998'  '-0.0003' -> '1.0001'
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| 
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| -- internal boundaries
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| ddsub346 subtract '10000e+9'  '7'   -> '9999999999993'
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| ddsub347 subtract '10000e+9'  '70'   -> '9999999999930'
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| ddsub348 subtract '10000e+9'  '700'   -> '9999999999300'
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| ddsub349 subtract '10000e+9'  '7000'   -> '9999999993000'
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| ddsub350 subtract '10000e+9'  '70000'   -> '9999999930000'
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| ddsub351 subtract '10000e+9'  '700000'   -> '9999999300000'
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| ddsub352 subtract '7' '10000e+9'   -> '-9999999999993'
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| ddsub353 subtract '70' '10000e+9'   -> '-9999999999930'
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| ddsub354 subtract '700' '10000e+9'   -> '-9999999999300'
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| ddsub355 subtract '7000' '10000e+9'   -> '-9999999993000'
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| ddsub356 subtract '70000' '10000e+9'   -> '-9999999930000'
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| ddsub357 subtract '700000' '10000e+9'   -> '-9999999300000'
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| 
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| -- zero preservation
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| ddsub361 subtract 1 '0.0001' -> '0.9999'
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| ddsub362 subtract 1 '0.00001' -> '0.99999'
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| ddsub363 subtract 1 '0.000001' -> '0.999999'
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| ddsub364 subtract 1 '0.0000000000000001' -> '0.9999999999999999'
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| ddsub365 subtract 1 '0.00000000000000001' -> '1.000000000000000' Inexact Rounded
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| ddsub366 subtract 1 '0.000000000000000001' -> '1.000000000000000' Inexact Rounded
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| 
 | |
| -- some funny zeros [in case of bad signum]
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| ddsub370 subtract 1  0  -> 1
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| ddsub371 subtract 1 0.  -> 1
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| ddsub372 subtract 1  .0 -> 1.0
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| ddsub373 subtract 1 0.0 -> 1.0
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| ddsub374 subtract  0  1 -> -1
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| ddsub375 subtract 0.  1 -> -1
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| ddsub376 subtract  .0 1 -> -1.0
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| ddsub377 subtract 0.0 1 -> -1.0
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| 
 | |
| -- leading 0 digit before round
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| ddsub910 subtract -103519362 -51897955.3 -> -51621406.7
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| ddsub911 subtract 159579.444 89827.5229 -> 69751.9211
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| 
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| ddsub920 subtract 333.0000000123456 33.00000001234566 -> 299.9999999999999 Inexact Rounded
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| ddsub921 subtract 333.0000000123456 33.00000001234565 -> 300.0000000000000 Inexact Rounded
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| ddsub922 subtract 133.0000000123456 33.00000001234565 ->  99.99999999999995
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| ddsub923 subtract 133.0000000123456 33.00000001234564 ->  99.99999999999996
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| ddsub924 subtract 133.0000000123456 33.00000001234540 -> 100.0000000000002 Rounded
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| ddsub925 subtract 133.0000000123456 43.00000001234560 ->  90.00000000000000
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| ddsub926 subtract 133.0000000123456 43.00000001234561 ->  89.99999999999999
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| ddsub927 subtract 133.0000000123456 43.00000001234566 ->  89.99999999999994
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| ddsub928 subtract 101.0000000123456 91.00000001234566 ->   9.99999999999994
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| ddsub929 subtract 101.0000000123456 99.00000001234566 ->   1.99999999999994
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| 
 | |
| -- more LHS swaps [were fixed]
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| ddsub390 subtract '-56267E-10'   0 ->  '-0.0000056267'
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| ddsub391 subtract '-56267E-6'    0 ->  '-0.056267'
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| ddsub392 subtract '-56267E-5'    0 ->  '-0.56267'
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| ddsub393 subtract '-56267E-4'    0 ->  '-5.6267'
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| ddsub394 subtract '-56267E-3'    0 ->  '-56.267'
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| ddsub395 subtract '-56267E-2'    0 ->  '-562.67'
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| ddsub396 subtract '-56267E-1'    0 ->  '-5626.7'
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| ddsub397 subtract '-56267E-0'    0 ->  '-56267'
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| ddsub398 subtract '-5E-10'       0 ->  '-5E-10'
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| ddsub399 subtract '-5E-7'        0 ->  '-5E-7'
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| ddsub400 subtract '-5E-6'        0 ->  '-0.000005'
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| ddsub401 subtract '-5E-5'        0 ->  '-0.00005'
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| ddsub402 subtract '-5E-4'        0 ->  '-0.0005'
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| ddsub403 subtract '-5E-1'        0 ->  '-0.5'
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| ddsub404 subtract '-5E0'         0 ->  '-5'
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| ddsub405 subtract '-5E1'         0 ->  '-50'
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| ddsub406 subtract '-5E5'         0 ->  '-500000'
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| ddsub407 subtract '-5E15'        0 ->  '-5000000000000000'
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| ddsub408 subtract '-5E16'        0 ->  '-5.000000000000000E+16'  Rounded
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| ddsub409 subtract '-5E17'        0 ->  '-5.000000000000000E+17'  Rounded
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| ddsub410 subtract '-5E18'        0 ->  '-5.000000000000000E+18'  Rounded
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| ddsub411 subtract '-5E100'       0 ->  '-5.000000000000000E+100' Rounded
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| 
 | |
| -- more RHS swaps [were fixed]
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| ddsub420 subtract 0  '-56267E-10' ->  '0.0000056267'
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| ddsub421 subtract 0  '-56267E-6'  ->  '0.056267'
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| ddsub422 subtract 0  '-56267E-5'  ->  '0.56267'
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| ddsub423 subtract 0  '-56267E-4'  ->  '5.6267'
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| ddsub424 subtract 0  '-56267E-3'  ->  '56.267'
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| ddsub425 subtract 0  '-56267E-2'  ->  '562.67'
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| ddsub426 subtract 0  '-56267E-1'  ->  '5626.7'
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| ddsub427 subtract 0  '-56267E-0'  ->  '56267'
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| ddsub428 subtract 0  '-5E-10'     ->  '5E-10'
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| ddsub429 subtract 0  '-5E-7'      ->  '5E-7'
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| ddsub430 subtract 0  '-5E-6'      ->  '0.000005'
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| ddsub431 subtract 0  '-5E-5'      ->  '0.00005'
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| ddsub432 subtract 0  '-5E-4'      ->  '0.0005'
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| ddsub433 subtract 0  '-5E-1'      ->  '0.5'
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| ddsub434 subtract 0  '-5E0'       ->  '5'
 | |
| ddsub435 subtract 0  '-5E1'       ->  '50'
 | |
| ddsub436 subtract 0  '-5E5'       ->  '500000'
 | |
| ddsub437 subtract 0  '-5E15'      ->  '5000000000000000'
 | |
| ddsub438 subtract 0  '-5E16'      ->  '5.000000000000000E+16'   Rounded
 | |
| ddsub439 subtract 0  '-5E17'      ->  '5.000000000000000E+17'   Rounded
 | |
| ddsub440 subtract 0  '-5E18'      ->  '5.000000000000000E+18'   Rounded
 | |
| ddsub441 subtract 0  '-5E100'     ->  '5.000000000000000E+100'  Rounded
 | |
| 
 | |
| 
 | |
| -- try borderline precision, with carries, etc.
 | |
| ddsub461 subtract '1E+16' '1'        -> '9999999999999999'
 | |
| ddsub462 subtract '1E+12' '-1.111'   -> '1000000000001.111'
 | |
| ddsub463 subtract '1.111'  '-1E+12'  -> '1000000000001.111'
 | |
| ddsub464 subtract '-1'    '-1E+16'   -> '9999999999999999'
 | |
| ddsub465 subtract '7E+15' '1'        -> '6999999999999999'
 | |
| ddsub466 subtract '7E+12' '-1.111'   -> '7000000000001.111'
 | |
| ddsub467 subtract '1.111'  '-7E+12'  -> '7000000000001.111'
 | |
| ddsub468 subtract '-1'    '-7E+15'   -> '6999999999999999'
 | |
| 
 | |
| --                  1234567890123456       1234567890123456      1 23456789012345
 | |
| ddsub470 subtract '0.4444444444444444'  '-0.5555555555555563' -> '1.000000000000001' Inexact Rounded
 | |
| ddsub471 subtract '0.4444444444444444'  '-0.5555555555555562' -> '1.000000000000001' Inexact Rounded
 | |
| ddsub472 subtract '0.4444444444444444'  '-0.5555555555555561' -> '1.000000000000000' Inexact Rounded
 | |
| ddsub473 subtract '0.4444444444444444'  '-0.5555555555555560' -> '1.000000000000000' Inexact Rounded
 | |
| ddsub474 subtract '0.4444444444444444'  '-0.5555555555555559' -> '1.000000000000000' Inexact Rounded
 | |
| ddsub475 subtract '0.4444444444444444'  '-0.5555555555555558' -> '1.000000000000000' Inexact Rounded
 | |
| ddsub476 subtract '0.4444444444444444'  '-0.5555555555555557' -> '1.000000000000000' Inexact Rounded
 | |
| ddsub477 subtract '0.4444444444444444'  '-0.5555555555555556' -> '1.000000000000000' Rounded
 | |
| ddsub478 subtract '0.4444444444444444'  '-0.5555555555555555' -> '0.9999999999999999'
 | |
| ddsub479 subtract '0.4444444444444444'  '-0.5555555555555554' -> '0.9999999999999998'
 | |
| ddsub480 subtract '0.4444444444444444'  '-0.5555555555555553' -> '0.9999999999999997'
 | |
| ddsub481 subtract '0.4444444444444444'  '-0.5555555555555552' -> '0.9999999999999996'
 | |
| ddsub482 subtract '0.4444444444444444'  '-0.5555555555555551' -> '0.9999999999999995'
 | |
| ddsub483 subtract '0.4444444444444444'  '-0.5555555555555550' -> '0.9999999999999994'
 | |
| 
 | |
| -- and some more, including residue effects and different roundings
 | |
| rounding: half_up
 | |
| ddsub500 subtract '1231234567456789' 0             -> '1231234567456789'
 | |
| ddsub501 subtract '1231234567456789' 0.000000001   -> '1231234567456789' Inexact Rounded
 | |
| ddsub502 subtract '1231234567456789' 0.000001      -> '1231234567456789' Inexact Rounded
 | |
| ddsub503 subtract '1231234567456789' 0.1           -> '1231234567456789' Inexact Rounded
 | |
| ddsub504 subtract '1231234567456789' 0.4           -> '1231234567456789' Inexact Rounded
 | |
| ddsub505 subtract '1231234567456789' 0.49          -> '1231234567456789' Inexact Rounded
 | |
| ddsub506 subtract '1231234567456789' 0.499999      -> '1231234567456789' Inexact Rounded
 | |
| ddsub507 subtract '1231234567456789' 0.499999999   -> '1231234567456789' Inexact Rounded
 | |
| ddsub508 subtract '1231234567456789' 0.5           -> '1231234567456789' Inexact Rounded
 | |
| ddsub509 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
 | |
| ddsub510 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
 | |
| ddsub511 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
 | |
| ddsub512 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
 | |
| ddsub513 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
 | |
| ddsub514 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
 | |
| ddsub515 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
 | |
| ddsub516 subtract '1231234567456789' 1             -> '1231234567456788'
 | |
| ddsub517 subtract '1231234567456789' 1.000000001   -> '1231234567456788' Inexact Rounded
 | |
| ddsub518 subtract '1231234567456789' 1.00001       -> '1231234567456788' Inexact Rounded
 | |
| ddsub519 subtract '1231234567456789' 1.1           -> '1231234567456788' Inexact Rounded
 | |
| 
 | |
| rounding: half_even
 | |
| ddsub520 subtract '1231234567456789' 0             -> '1231234567456789'
 | |
| ddsub521 subtract '1231234567456789' 0.000000001   -> '1231234567456789' Inexact Rounded
 | |
| ddsub522 subtract '1231234567456789' 0.000001      -> '1231234567456789' Inexact Rounded
 | |
| ddsub523 subtract '1231234567456789' 0.1           -> '1231234567456789' Inexact Rounded
 | |
| ddsub524 subtract '1231234567456789' 0.4           -> '1231234567456789' Inexact Rounded
 | |
| ddsub525 subtract '1231234567456789' 0.49          -> '1231234567456789' Inexact Rounded
 | |
| ddsub526 subtract '1231234567456789' 0.499999      -> '1231234567456789' Inexact Rounded
 | |
| ddsub527 subtract '1231234567456789' 0.499999999   -> '1231234567456789' Inexact Rounded
 | |
| ddsub528 subtract '1231234567456789' 0.5           -> '1231234567456788' Inexact Rounded
 | |
| ddsub529 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
 | |
| ddsub530 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
 | |
| ddsub531 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
 | |
| ddsub532 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
 | |
| ddsub533 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
 | |
| ddsub534 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
 | |
| ddsub535 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
 | |
| ddsub536 subtract '1231234567456789' 1             -> '1231234567456788'
 | |
| ddsub537 subtract '1231234567456789' 1.00000001    -> '1231234567456788' Inexact Rounded
 | |
| ddsub538 subtract '1231234567456789' 1.00001       -> '1231234567456788' Inexact Rounded
 | |
| ddsub539 subtract '1231234567456789' 1.1           -> '1231234567456788' Inexact Rounded
 | |
| -- critical few with even bottom digit...
 | |
| ddsub540 subtract '1231234567456788' 0.499999999   -> '1231234567456788' Inexact Rounded
 | |
| ddsub541 subtract '1231234567456788' 0.5           -> '1231234567456788' Inexact Rounded
 | |
| ddsub542 subtract '1231234567456788' 0.500000001   -> '1231234567456787' Inexact Rounded
 | |
| 
 | |
| rounding: down
 | |
| ddsub550 subtract '1231234567456789' 0             -> '1231234567456789'
 | |
| ddsub551 subtract '1231234567456789' 0.000000001   -> '1231234567456788' Inexact Rounded
 | |
| ddsub552 subtract '1231234567456789' 0.000001      -> '1231234567456788' Inexact Rounded
 | |
| ddsub553 subtract '1231234567456789' 0.1           -> '1231234567456788' Inexact Rounded
 | |
| ddsub554 subtract '1231234567456789' 0.4           -> '1231234567456788' Inexact Rounded
 | |
| ddsub555 subtract '1231234567456789' 0.49          -> '1231234567456788' Inexact Rounded
 | |
| ddsub556 subtract '1231234567456789' 0.499999      -> '1231234567456788' Inexact Rounded
 | |
| ddsub557 subtract '1231234567456789' 0.499999999   -> '1231234567456788' Inexact Rounded
 | |
| ddsub558 subtract '1231234567456789' 0.5           -> '1231234567456788' Inexact Rounded
 | |
| ddsub559 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
 | |
| ddsub560 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
 | |
| ddsub561 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
 | |
| ddsub562 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
 | |
| ddsub563 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
 | |
| ddsub564 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
 | |
| ddsub565 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
 | |
| ddsub566 subtract '1231234567456789' 1             -> '1231234567456788'
 | |
| ddsub567 subtract '1231234567456789' 1.00000001    -> '1231234567456787' Inexact Rounded
 | |
| ddsub568 subtract '1231234567456789' 1.00001       -> '1231234567456787' Inexact Rounded
 | |
| ddsub569 subtract '1231234567456789' 1.1           -> '1231234567456787' Inexact Rounded
 | |
| 
 | |
| -- symmetry...
 | |
| rounding: half_up
 | |
| ddsub600 subtract 0             '1231234567456789' -> '-1231234567456789'
 | |
| ddsub601 subtract 0.000000001   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub602 subtract 0.000001      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub603 subtract 0.1           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub604 subtract 0.4           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub605 subtract 0.49          '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub606 subtract 0.499999      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub607 subtract 0.499999999   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub608 subtract 0.5           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub609 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub610 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub611 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub612 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub613 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub614 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub615 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub616 subtract 1             '1231234567456789' -> '-1231234567456788'
 | |
| ddsub617 subtract 1.000000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub618 subtract 1.00001       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub619 subtract 1.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| 
 | |
| rounding: half_even
 | |
| ddsub620 subtract 0             '1231234567456789' -> '-1231234567456789'
 | |
| ddsub621 subtract 0.000000001   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub622 subtract 0.000001      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub623 subtract 0.1           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub624 subtract 0.4           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub625 subtract 0.49          '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub626 subtract 0.499999      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub627 subtract 0.499999999   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 | |
| ddsub628 subtract 0.5           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub629 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub630 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub631 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub632 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub633 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub634 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub635 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub636 subtract 1             '1231234567456789' -> '-1231234567456788'
 | |
| ddsub637 subtract 1.00000001    '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub638 subtract 1.00001       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub639 subtract 1.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| -- critical few with even bottom digit...
 | |
| ddsub640 subtract 0.499999999   '1231234567456788' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub641 subtract 0.5           '1231234567456788' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub642 subtract 0.500000001   '1231234567456788' -> '-1231234567456787' Inexact Rounded
 | |
| 
 | |
| rounding: down
 | |
| ddsub650 subtract 0             '1231234567456789' -> '-1231234567456789'
 | |
| ddsub651 subtract 0.000000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub652 subtract 0.000001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub653 subtract 0.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub654 subtract 0.4           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub655 subtract 0.49          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub656 subtract 0.499999      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub657 subtract 0.499999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub658 subtract 0.5           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub659 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub660 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub661 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub662 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub663 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub664 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub665 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 | |
| ddsub666 subtract 1             '1231234567456789' -> '-1231234567456788'
 | |
| ddsub667 subtract 1.00000001    '1231234567456789' -> '-1231234567456787' Inexact Rounded
 | |
| ddsub668 subtract 1.00001       '1231234567456789' -> '-1231234567456787' Inexact Rounded
 | |
| ddsub669 subtract 1.1           '1231234567456789' -> '-1231234567456787' Inexact Rounded
 | |
| 
 | |
| 
 | |
| -- lots of leading zeros in intermediate result, and showing effects of
 | |
| -- input rounding would have affected the following
 | |
| rounding: half_up
 | |
| ddsub670 subtract '1234567456789' '1234567456788.1' -> 0.9
 | |
| ddsub671 subtract '1234567456789' '1234567456788.9' -> 0.1
 | |
| ddsub672 subtract '1234567456789' '1234567456789.1' -> -0.1
 | |
| ddsub673 subtract '1234567456789' '1234567456789.5' -> -0.5
 | |
| ddsub674 subtract '1234567456789' '1234567456789.9' -> -0.9
 | |
| 
 | |
| rounding: half_even
 | |
| ddsub680 subtract '1234567456789' '1234567456788.1' -> 0.9
 | |
| ddsub681 subtract '1234567456789' '1234567456788.9' -> 0.1
 | |
| ddsub682 subtract '1234567456789' '1234567456789.1' -> -0.1
 | |
| ddsub683 subtract '1234567456789' '1234567456789.5' -> -0.5
 | |
| ddsub684 subtract '1234567456789' '1234567456789.9' -> -0.9
 | |
| 
 | |
| ddsub685 subtract '1234567456788' '1234567456787.1' -> 0.9
 | |
| ddsub686 subtract '1234567456788' '1234567456787.9' -> 0.1
 | |
| ddsub687 subtract '1234567456788' '1234567456788.1' -> -0.1
 | |
| ddsub688 subtract '1234567456788' '1234567456788.5' -> -0.5
 | |
| ddsub689 subtract '1234567456788' '1234567456788.9' -> -0.9
 | |
| 
 | |
| rounding: down
 | |
| ddsub690 subtract '1234567456789' '1234567456788.1' -> 0.9
 | |
| ddsub691 subtract '1234567456789' '1234567456788.9' -> 0.1
 | |
| ddsub692 subtract '1234567456789' '1234567456789.1' -> -0.1
 | |
| ddsub693 subtract '1234567456789' '1234567456789.5' -> -0.5
 | |
| ddsub694 subtract '1234567456789' '1234567456789.9' -> -0.9
 | |
| 
 | |
| -- Specials
 | |
| ddsub780 subtract -Inf   Inf   -> -Infinity
 | |
| ddsub781 subtract -Inf   1000  -> -Infinity
 | |
| ddsub782 subtract -Inf   1     -> -Infinity
 | |
| ddsub783 subtract -Inf  -0     -> -Infinity
 | |
| ddsub784 subtract -Inf  -1     -> -Infinity
 | |
| ddsub785 subtract -Inf  -1000  -> -Infinity
 | |
| ddsub787 subtract -1000  Inf   -> -Infinity
 | |
| ddsub788 subtract -Inf   Inf   -> -Infinity
 | |
| ddsub789 subtract -1     Inf   -> -Infinity
 | |
| ddsub790 subtract  0     Inf   -> -Infinity
 | |
| ddsub791 subtract  1     Inf   -> -Infinity
 | |
| ddsub792 subtract  1000  Inf   -> -Infinity
 | |
| 
 | |
| ddsub800 subtract  Inf   Inf   ->  NaN  Invalid_operation
 | |
| ddsub801 subtract  Inf   1000  ->  Infinity
 | |
| ddsub802 subtract  Inf   1     ->  Infinity
 | |
| ddsub803 subtract  Inf   0     ->  Infinity
 | |
| ddsub804 subtract  Inf  -0     ->  Infinity
 | |
| ddsub805 subtract  Inf  -1     ->  Infinity
 | |
| ddsub806 subtract  Inf  -1000  ->  Infinity
 | |
| ddsub807 subtract  Inf  -Inf   ->  Infinity
 | |
| ddsub808 subtract -1000 -Inf   ->  Infinity
 | |
| ddsub809 subtract -Inf  -Inf   ->  NaN  Invalid_operation
 | |
| ddsub810 subtract -1    -Inf   ->  Infinity
 | |
| ddsub811 subtract -0    -Inf   ->  Infinity
 | |
| ddsub812 subtract  0    -Inf   ->  Infinity
 | |
| ddsub813 subtract  1    -Inf   ->  Infinity
 | |
| ddsub814 subtract  1000 -Inf   ->  Infinity
 | |
| ddsub815 subtract  Inf  -Inf   ->  Infinity
 | |
| 
 | |
| ddsub821 subtract  NaN   Inf   ->  NaN
 | |
| ddsub822 subtract -NaN   1000  -> -NaN
 | |
| ddsub823 subtract  NaN   1     ->  NaN
 | |
| ddsub824 subtract  NaN   0     ->  NaN
 | |
| ddsub825 subtract  NaN  -0     ->  NaN
 | |
| ddsub826 subtract  NaN  -1     ->  NaN
 | |
| ddsub827 subtract  NaN  -1000  ->  NaN
 | |
| ddsub828 subtract  NaN  -Inf   ->  NaN
 | |
| ddsub829 subtract -NaN   NaN   -> -NaN
 | |
| ddsub830 subtract -Inf   NaN   ->  NaN
 | |
| ddsub831 subtract -1000  NaN   ->  NaN
 | |
| ddsub832 subtract -1     NaN   ->  NaN
 | |
| ddsub833 subtract -0     NaN   ->  NaN
 | |
| ddsub834 subtract  0     NaN   ->  NaN
 | |
| ddsub835 subtract  1     NaN   ->  NaN
 | |
| ddsub836 subtract  1000 -NaN   -> -NaN
 | |
| ddsub837 subtract  Inf   NaN   ->  NaN
 | |
| 
 | |
| ddsub841 subtract  sNaN  Inf   ->  NaN  Invalid_operation
 | |
| ddsub842 subtract -sNaN  1000  -> -NaN  Invalid_operation
 | |
| ddsub843 subtract  sNaN  1     ->  NaN  Invalid_operation
 | |
| ddsub844 subtract  sNaN  0     ->  NaN  Invalid_operation
 | |
| ddsub845 subtract  sNaN -0     ->  NaN  Invalid_operation
 | |
| ddsub846 subtract  sNaN -1     ->  NaN  Invalid_operation
 | |
| ddsub847 subtract  sNaN -1000  ->  NaN  Invalid_operation
 | |
| ddsub848 subtract  sNaN  NaN   ->  NaN  Invalid_operation
 | |
| ddsub849 subtract  sNaN sNaN   ->  NaN  Invalid_operation
 | |
| ddsub850 subtract  NaN  sNaN   ->  NaN  Invalid_operation
 | |
| ddsub851 subtract -Inf -sNaN   -> -NaN  Invalid_operation
 | |
| ddsub852 subtract -1000 sNaN   ->  NaN  Invalid_operation
 | |
| ddsub853 subtract -1    sNaN   ->  NaN  Invalid_operation
 | |
| ddsub854 subtract -0    sNaN   ->  NaN  Invalid_operation
 | |
| ddsub855 subtract  0    sNaN   ->  NaN  Invalid_operation
 | |
| ddsub856 subtract  1    sNaN   ->  NaN  Invalid_operation
 | |
| ddsub857 subtract  1000 sNaN   ->  NaN  Invalid_operation
 | |
| ddsub858 subtract  Inf  sNaN   ->  NaN  Invalid_operation
 | |
| ddsub859 subtract  NaN  sNaN   ->  NaN  Invalid_operation
 | |
| 
 | |
| -- propagating NaNs
 | |
| ddsub861 subtract  NaN01   -Inf     ->  NaN1
 | |
| ddsub862 subtract -NaN02   -1000    -> -NaN2
 | |
| ddsub863 subtract  NaN03    1000    ->  NaN3
 | |
| ddsub864 subtract  NaN04    Inf     ->  NaN4
 | |
| ddsub865 subtract  NaN05    NaN61   ->  NaN5
 | |
| ddsub866 subtract -Inf     -NaN71   -> -NaN71
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| ddsub867 subtract -1000     NaN81   ->  NaN81
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| ddsub868 subtract  1000     NaN91   ->  NaN91
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| ddsub869 subtract  Inf      NaN101  ->  NaN101
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| ddsub871 subtract  sNaN011  -Inf    ->  NaN11  Invalid_operation
 | |
| ddsub872 subtract  sNaN012  -1000   ->  NaN12  Invalid_operation
 | |
| ddsub873 subtract -sNaN013   1000   -> -NaN13  Invalid_operation
 | |
| ddsub874 subtract  sNaN014   NaN171 ->  NaN14  Invalid_operation
 | |
| ddsub875 subtract  sNaN015  sNaN181 ->  NaN15  Invalid_operation
 | |
| ddsub876 subtract  NaN016   sNaN191 ->  NaN191 Invalid_operation
 | |
| ddsub877 subtract -Inf      sNaN201 ->  NaN201 Invalid_operation
 | |
| ddsub878 subtract -1000     sNaN211 ->  NaN211 Invalid_operation
 | |
| ddsub879 subtract  1000    -sNaN221 -> -NaN221 Invalid_operation
 | |
| ddsub880 subtract  Inf      sNaN231 ->  NaN231 Invalid_operation
 | |
| ddsub881 subtract  NaN025   sNaN241 ->  NaN241 Invalid_operation
 | |
| 
 | |
| -- edge case spills
 | |
| ddsub901 subtract  2.E-3  1.002  -> -1.000
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| ddsub902 subtract  2.0E-3  1.002  -> -1.0000
 | |
| ddsub903 subtract  2.00E-3  1.0020  -> -1.00000
 | |
| ddsub904 subtract  2.000E-3  1.00200  -> -1.000000
 | |
| ddsub905 subtract  2.0000E-3  1.002000  -> -1.0000000
 | |
| ddsub906 subtract  2.00000E-3  1.0020000  -> -1.00000000
 | |
| ddsub907 subtract  2.000000E-3  1.00200000  -> -1.000000000
 | |
| ddsub908 subtract  2.0000000E-3  1.002000000  -> -1.0000000000
 | |
| 
 | |
| -- subnormals and overflows covered under Add
 | |
| 
 | |
| -- Null tests
 | |
| ddsub9990 subtract 10  # -> NaN Invalid_operation
 | |
| ddsub9991 subtract  # 10 -> NaN Invalid_operation
 |