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			874 lines
		
	
	
		
			43 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
			
		
		
	
	
			874 lines
		
	
	
		
			43 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| ------------------------------------------------------------------------
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| -- subtract.decTest -- decimal 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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| extended:    1
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| precision:   9
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| rounding:    half_up
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| maxExponent: 384
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| minexponent: -383
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| 
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| -- [first group are 'quick confidence check']
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| subx001 subtract  0   0  -> '0'
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| subx002 subtract  1   1  -> '0'
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| subx003 subtract  1   2  -> '-1'
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| subx004 subtract  2   1  -> '1'
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| subx005 subtract  2   2  -> '0'
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| subx006 subtract  3   2  -> '1'
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| subx007 subtract  2   3  -> '-1'
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| 
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| subx011 subtract -0   0  -> '-0'
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| subx012 subtract -1   1  -> '-2'
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| subx013 subtract -1   2  -> '-3'
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| subx014 subtract -2   1  -> '-3'
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| subx015 subtract -2   2  -> '-4'
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| subx016 subtract -3   2  -> '-5'
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| subx017 subtract -2   3  -> '-5'
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| 
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| subx021 subtract  0  -0  -> '0'
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| subx022 subtract  1  -1  -> '2'
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| subx023 subtract  1  -2  -> '3'
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| subx024 subtract  2  -1  -> '3'
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| subx025 subtract  2  -2  -> '4'
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| subx026 subtract  3  -2  -> '5'
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| subx027 subtract  2  -3  -> '5'
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| 
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| subx030 subtract  11  1  -> 10
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| subx031 subtract  10  1  ->  9
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| subx032 subtract  9   1  ->  8
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| subx033 subtract  1   1  ->  0
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| subx034 subtract  0   1  -> -1
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| subx035 subtract -1   1  -> -2
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| subx036 subtract -9   1  -> -10
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| subx037 subtract -10  1  -> -11
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| subx038 subtract -11  1  -> -12
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| 
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| subx040 subtract '5.75' '3.3'  -> '2.45'
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| subx041 subtract '5'    '-3'   -> '8'
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| subx042 subtract '-5'   '-3'   -> '-2'
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| subx043 subtract '-7'   '2.5'  -> '-9.5'
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| subx044 subtract '0.7'  '0.3'  -> '0.4'
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| subx045 subtract '1.3'  '0.3'  -> '1.0'
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| subx046 subtract '1.25' '1.25' -> '0.00'
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| 
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| subx050 subtract '1.23456789'    '1.00000000' -> '0.23456789'
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| subx051 subtract '1.23456789'    '1.00000089' -> '0.23456700'
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| subx052 subtract '0.5555555559'    '0.0000000001' -> '0.555555556' Inexact Rounded
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| subx053 subtract '0.5555555559'    '0.0000000005' -> '0.555555555' Inexact Rounded
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| subx054 subtract '0.4444444444'    '0.1111111111' -> '0.333333333' Inexact Rounded
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| subx055 subtract '1.0000000000'    '0.00000001' -> '0.999999990' Rounded
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| subx056 subtract '0.4444444444999'    '0' -> '0.444444444' Inexact Rounded
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| subx057 subtract '0.4444444445000'    '0' -> '0.444444445' Inexact Rounded
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| 
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| subx060 subtract '70'    '10000e+9' -> '-1.00000000E+13' Inexact Rounded
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| subx061 subtract '700'    '10000e+9' -> '-1.00000000E+13' Inexact Rounded
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| subx062 subtract '7000'    '10000e+9' -> '-9.99999999E+12' Inexact Rounded
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| subx063 subtract '70000'    '10000e+9' -> '-9.99999993E+12' Rounded
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| subx064 subtract '700000'    '10000e+9' -> '-9.99999930E+12' Rounded
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|   -- symmetry:
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| subx065 subtract '10000e+9'    '70' -> '1.00000000E+13' Inexact Rounded
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| subx066 subtract '10000e+9'    '700' -> '1.00000000E+13' Inexact Rounded
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| subx067 subtract '10000e+9'    '7000' -> '9.99999999E+12' Inexact Rounded
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| subx068 subtract '10000e+9'    '70000' -> '9.99999993E+12' Rounded
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| subx069 subtract '10000e+9'    '700000' -> '9.99999930E+12' Rounded
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| 
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|   -- change precision
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| subx080 subtract '10000e+9'    '70000' -> '9.99999993E+12' Rounded
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| precision: 6
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| subx081 subtract '10000e+9'    '70000' -> '1.00000E+13' Inexact Rounded
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| precision: 9
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| 
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|   -- some of the next group are really constructor tests
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| subx090 subtract '00.0'    '0.0'  -> '0.0'
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| subx091 subtract '00.0'    '0.00' -> '0.00'
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| subx092 subtract '0.00'    '00.0' -> '0.00'
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| subx093 subtract '00.0'    '0.00' -> '0.00'
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| subx094 subtract '0.00'    '00.0' -> '0.00'
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| subx095 subtract '3'    '.3'   -> '2.7'
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| subx096 subtract '3.'   '.3'   -> '2.7'
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| subx097 subtract '3.0'  '.3'   -> '2.7'
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| subx098 subtract '3.00' '.3'   -> '2.70'
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| subx099 subtract '3'    '3'    -> '0'
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| subx100 subtract '3'    '+3'   -> '0'
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| subx101 subtract '3'    '-3'   -> '6'
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| subx102 subtract '3'    '0.3'  -> '2.7'
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| subx103 subtract '3.'   '0.3'  -> '2.7'
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| subx104 subtract '3.0'  '0.3'  -> '2.7'
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| subx105 subtract '3.00' '0.3'  -> '2.70'
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| subx106 subtract '3'    '3.0'  -> '0.0'
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| subx107 subtract '3'    '+3.0' -> '0.0'
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| subx108 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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| subx120 subtract  '10.23456784'    '10.23456789'  -> '-5E-8'
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| subx121 subtract  '10.23456785'    '10.23456789'  -> '-4E-8'
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| subx122 subtract  '10.23456786'    '10.23456789'  -> '-3E-8'
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| subx123 subtract  '10.23456787'    '10.23456789'  -> '-2E-8'
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| subx124 subtract  '10.23456788'    '10.23456789'  -> '-1E-8'
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| subx125 subtract  '10.23456789'    '10.23456789'  -> '0E-8'
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| subx126 subtract  '10.23456790'    '10.23456789'  -> '1E-8'
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| subx127 subtract  '10.23456791'    '10.23456789'  -> '2E-8'
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| subx128 subtract  '10.23456792'    '10.23456789'  -> '3E-8'
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| subx129 subtract  '10.23456793'    '10.23456789'  -> '4E-8'
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| subx130 subtract  '10.23456794'    '10.23456789'  -> '5E-8'
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| subx131 subtract  '10.23456781'    '10.23456786'  -> '-5E-8'
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| subx132 subtract  '10.23456782'    '10.23456786'  -> '-4E-8'
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| subx133 subtract  '10.23456783'    '10.23456786'  -> '-3E-8'
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| subx134 subtract  '10.23456784'    '10.23456786'  -> '-2E-8'
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| subx135 subtract  '10.23456785'    '10.23456786'  -> '-1E-8'
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| subx136 subtract  '10.23456786'    '10.23456786'  -> '0E-8'
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| subx137 subtract  '10.23456787'    '10.23456786'  -> '1E-8'
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| subx138 subtract  '10.23456788'    '10.23456786'  -> '2E-8'
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| subx139 subtract  '10.23456789'    '10.23456786'  -> '3E-8'
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| subx140 subtract  '10.23456790'    '10.23456786'  -> '4E-8'
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| subx141 subtract  '10.23456791'    '10.23456786'  -> '5E-8'
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| subx142 subtract  '1'              '0.999999999'  -> '1E-9'
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| subx143 subtract  '0.999999999'    '1'            -> '-1E-9'
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| subx144 subtract  '-10.23456780'   '-10.23456786' -> '6E-8'
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| subx145 subtract  '-10.23456790'   '-10.23456786' -> '-4E-8'
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| subx146 subtract  '-10.23456791'   '-10.23456786' -> '-5E-8'
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| 
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| precision: 3
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| subx150 subtract '12345678900000' '9999999999999'  -> 2.35E+12 Inexact Rounded
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| subx151 subtract '9999999999999'  '12345678900000' -> -2.35E+12 Inexact Rounded
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| precision: 6
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| subx152 subtract '12345678900000' '9999999999999'  -> 2.34568E+12 Inexact Rounded
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| subx153 subtract '9999999999999'  '12345678900000' -> -2.34568E+12 Inexact Rounded
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| precision: 9
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| subx154 subtract '12345678900000' '9999999999999'  -> 2.34567890E+12 Inexact Rounded
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| subx155 subtract '9999999999999'  '12345678900000' -> -2.34567890E+12 Inexact Rounded
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| precision: 12
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| subx156 subtract '12345678900000' '9999999999999'  -> 2.34567890000E+12 Inexact Rounded
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| subx157 subtract '9999999999999'  '12345678900000' -> -2.34567890000E+12 Inexact Rounded
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| precision: 15
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| subx158 subtract '12345678900000' '9999999999999'  -> 2345678900001
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| subx159 subtract '9999999999999'  '12345678900000' -> -2345678900001
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| precision: 9
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| 
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| -- additional scaled arithmetic tests [0.97 problem]
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| subx160 subtract '0'     '.1'      -> '-0.1'
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| subx161 subtract '00'    '.97983'  -> '-0.97983'
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| subx162 subtract '0'     '.9'      -> '-0.9'
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| subx163 subtract '0'     '0.102'   -> '-0.102'
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| subx164 subtract '0'     '.4'      -> '-0.4'
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| subx165 subtract '0'     '.307'    -> '-0.307'
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| subx166 subtract '0'     '.43822'  -> '-0.43822'
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| subx167 subtract '0'     '.911'    -> '-0.911'
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| subx168 subtract '.0'    '.02'     -> '-0.02'
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| subx169 subtract '00'    '.392'    -> '-0.392'
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| subx170 subtract '0'     '.26'     -> '-0.26'
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| subx171 subtract '0'     '0.51'    -> '-0.51'
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| subx172 subtract '0'     '.2234'   -> '-0.2234'
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| subx173 subtract '0'     '.2'      -> '-0.2'
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| subx174 subtract '.0'    '.0008'   -> '-0.0008'
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| -- 0. on left
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| subx180 subtract '0.0'     '-.1'      -> '0.1'
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| subx181 subtract '0.00'    '-.97983'  -> '0.97983'
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| subx182 subtract '0.0'     '-.9'      -> '0.9'
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| subx183 subtract '0.0'     '-0.102'   -> '0.102'
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| subx184 subtract '0.0'     '-.4'      -> '0.4'
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| subx185 subtract '0.0'     '-.307'    -> '0.307'
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| subx186 subtract '0.0'     '-.43822'  -> '0.43822'
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| subx187 subtract '0.0'     '-.911'    -> '0.911'
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| subx188 subtract '0.0'     '-.02'     -> '0.02'
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| subx189 subtract '0.00'    '-.392'    -> '0.392'
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| subx190 subtract '0.0'     '-.26'     -> '0.26'
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| subx191 subtract '0.0'     '-0.51'    -> '0.51'
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| subx192 subtract '0.0'     '-.2234'   -> '0.2234'
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| subx193 subtract '0.0'     '-.2'      -> '0.2'
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| subx194 subtract '0.0'     '-.0008'   -> '0.0008'
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| -- negatives of same
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| subx200 subtract '0'     '-.1'      -> '0.1'
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| subx201 subtract '00'    '-.97983'  -> '0.97983'
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| subx202 subtract '0'     '-.9'      -> '0.9'
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| subx203 subtract '0'     '-0.102'   -> '0.102'
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| subx204 subtract '0'     '-.4'      -> '0.4'
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| subx205 subtract '0'     '-.307'    -> '0.307'
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| subx206 subtract '0'     '-.43822'  -> '0.43822'
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| subx207 subtract '0'     '-.911'    -> '0.911'
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| subx208 subtract '.0'    '-.02'     -> '0.02'
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| subx209 subtract '00'    '-.392'    -> '0.392'
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| subx210 subtract '0'     '-.26'     -> '0.26'
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| subx211 subtract '0'     '-0.51'    -> '0.51'
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| subx212 subtract '0'     '-.2234'   -> '0.2234'
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| subx213 subtract '0'     '-.2'      -> '0.2'
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| subx214 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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| subx220 subtract '-56267E-12' 0  -> '-5.6267E-8'
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| subx221 subtract '-56267E-11' 0  -> '-5.6267E-7'
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| subx222 subtract '-56267E-10' 0  -> '-0.0000056267'
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| subx223 subtract '-56267E-9'  0  -> '-0.000056267'
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| subx224 subtract '-56267E-8'  0  -> '-0.00056267'
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| subx225 subtract '-56267E-7'  0  -> '-0.0056267'
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| subx226 subtract '-56267E-6'  0  -> '-0.056267'
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| subx227 subtract '-56267E-5'  0  -> '-0.56267'
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| subx228 subtract '-56267E-2'  0  -> '-562.67'
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| subx229 subtract '-56267E-1'  0  -> '-5626.7'
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| subx230 subtract '-56267E-0'  0  -> '-56267'
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| -- symmetry ...
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| subx240 subtract 0 '-56267E-12'  -> '5.6267E-8'
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| subx241 subtract 0 '-56267E-11'  -> '5.6267E-7'
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| subx242 subtract 0 '-56267E-10'  -> '0.0000056267'
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| subx243 subtract 0 '-56267E-9'   -> '0.000056267'
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| subx244 subtract 0 '-56267E-8'   -> '0.00056267'
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| subx245 subtract 0 '-56267E-7'   -> '0.0056267'
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| subx246 subtract 0 '-56267E-6'   -> '0.056267'
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| subx247 subtract 0 '-56267E-5'   -> '0.56267'
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| subx248 subtract 0 '-56267E-2'   -> '562.67'
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| subx249 subtract 0 '-56267E-1'   -> '5626.7'
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| subx250 subtract 0 '-56267E-0'   -> '56267'
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| 
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| -- now some more from the 'new' add
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| precision: 9
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| subx301 subtract '1.23456789'  '1.00000000' -> '0.23456789'
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| subx302 subtract '1.23456789'  '1.00000011' -> '0.23456778'
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| 
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| subx311 subtract '0.4444444444'  '0.5555555555' -> '-0.111111111' Inexact Rounded
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| subx312 subtract '0.4444444440'  '0.5555555555' -> '-0.111111112' Inexact Rounded
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| subx313 subtract '0.4444444444'  '0.5555555550' -> '-0.111111111' Inexact Rounded
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| subx314 subtract '0.44444444449'    '0' -> '0.444444444' Inexact Rounded
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| subx315 subtract '0.444444444499'   '0' -> '0.444444444' Inexact Rounded
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| subx316 subtract '0.4444444444999'  '0' -> '0.444444444' Inexact Rounded
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| subx317 subtract '0.4444444445000'  '0' -> '0.444444445' Inexact Rounded
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| subx318 subtract '0.4444444445001'  '0' -> '0.444444445' Inexact Rounded
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| subx319 subtract '0.444444444501'   '0' -> '0.444444445' Inexact Rounded
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| subx320 subtract '0.44444444451'    '0' -> '0.444444445' Inexact Rounded
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| 
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| -- some carrying effects
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| subx321 subtract '0.9998'  '0.0000' -> '0.9998'
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| subx322 subtract '0.9998'  '0.0001' -> '0.9997'
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| subx323 subtract '0.9998'  '0.0002' -> '0.9996'
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| subx324 subtract '0.9998'  '0.0003' -> '0.9995'
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| subx325 subtract '0.9998'  '-0.0000' -> '0.9998'
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| subx326 subtract '0.9998'  '-0.0001' -> '0.9999'
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| subx327 subtract '0.9998'  '-0.0002' -> '1.0000'
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| subx328 subtract '0.9998'  '-0.0003' -> '1.0001'
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| 
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| subx330 subtract '70'  '10000e+9' -> '-1.00000000E+13' Inexact Rounded
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| subx331 subtract '700'  '10000e+9' -> '-1.00000000E+13' Inexact Rounded
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| subx332 subtract '7000'  '10000e+9' -> '-9.99999999E+12' Inexact Rounded
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| subx333 subtract '70000'  '10000e+9' -> '-9.99999993E+12' Rounded
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| subx334 subtract '700000'  '10000e+9' -> '-9.99999930E+12' Rounded
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| subx335 subtract '7000000'  '10000e+9' -> '-9.99999300E+12' Rounded
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| -- symmetry:
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| subx340 subtract '10000e+9'  '70' -> '1.00000000E+13' Inexact Rounded
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| subx341 subtract '10000e+9'  '700' -> '1.00000000E+13' Inexact Rounded
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| subx342 subtract '10000e+9'  '7000' -> '9.99999999E+12' Inexact Rounded
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| subx343 subtract '10000e+9'  '70000' -> '9.99999993E+12' Rounded
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| subx344 subtract '10000e+9'  '700000' -> '9.99999930E+12' Rounded
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| subx345 subtract '10000e+9'  '7000000' -> '9.99999300E+12' Rounded
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| 
 | |
| -- same, higher precision
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| precision: 15
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| subx346 subtract '10000e+9'  '7'   -> '9999999999993'
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| subx347 subtract '10000e+9'  '70'   -> '9999999999930'
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| subx348 subtract '10000e+9'  '700'   -> '9999999999300'
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| subx349 subtract '10000e+9'  '7000'   -> '9999999993000'
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| subx350 subtract '10000e+9'  '70000'   -> '9999999930000'
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| subx351 subtract '10000e+9'  '700000'   -> '9999999300000'
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| subx352 subtract '7' '10000e+9'   -> '-9999999999993'
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| subx353 subtract '70' '10000e+9'   -> '-9999999999930'
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| subx354 subtract '700' '10000e+9'   -> '-9999999999300'
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| subx355 subtract '7000' '10000e+9'   -> '-9999999993000'
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| subx356 subtract '70000' '10000e+9'   -> '-9999999930000'
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| subx357 subtract '700000' '10000e+9'   -> '-9999999300000'
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| 
 | |
| -- zero preservation
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| precision: 6
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| subx360 subtract '10000e+9'  '70000' -> '1.00000E+13' Inexact Rounded
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| subx361 subtract 1 '0.0001' -> '0.9999'
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| subx362 subtract 1 '0.00001' -> '0.99999'
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| subx363 subtract 1 '0.000001' -> '0.999999'
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| subx364 subtract 1 '0.0000001' -> '1.00000' Inexact Rounded
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| subx365 subtract 1 '0.00000001' -> '1.00000' Inexact Rounded
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| 
 | |
| -- some funny zeros [in case of bad signum]
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| subx370 subtract 1  0  -> 1
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| subx371 subtract 1 0.  -> 1
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| subx372 subtract 1  .0 -> 1.0
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| subx373 subtract 1 0.0 -> 1.0
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| subx374 subtract  0  1 -> -1
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| subx375 subtract 0.  1 -> -1
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| subx376 subtract  .0 1 -> -1.0
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| subx377 subtract 0.0 1 -> -1.0
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| 
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| precision: 9
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| 
 | |
| -- leading 0 digit before round
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| subx910 subtract -103519362 -51897955.3 -> -51621406.7
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| subx911 subtract 159579.444 89827.5229 -> 69751.9211
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| 
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| subx920 subtract 333.123456 33.1234566 -> 299.999999 Inexact Rounded
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| subx921 subtract 333.123456 33.1234565 -> 300.000000 Inexact Rounded
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| subx922 subtract 133.123456 33.1234565 ->  99.9999995
 | |
| subx923 subtract 133.123456 33.1234564 ->  99.9999996
 | |
| subx924 subtract 133.123456 33.1234540 -> 100.000002 Rounded
 | |
| subx925 subtract 133.123456 43.1234560 ->  90.0000000
 | |
| subx926 subtract 133.123456 43.1234561 ->  89.9999999
 | |
| subx927 subtract 133.123456 43.1234566 ->  89.9999994
 | |
| subx928 subtract 101.123456 91.1234566 ->   9.9999994
 | |
| subx929 subtract 101.123456 99.1234566 ->   1.9999994
 | |
| 
 | |
| -- more of the same; probe for cluster boundary problems
 | |
| precision: 1
 | |
| subx930 subtract  11 2           -> 9
 | |
| precision: 2
 | |
| subx932 subtract 101 2           -> 99
 | |
| precision: 3
 | |
| subx934 subtract 101 2.1         -> 98.9
 | |
| subx935 subtract 101 92.01       ->  8.99
 | |
| precision: 4
 | |
| subx936 subtract 101 2.01        -> 98.99
 | |
| subx937 subtract 101 92.01       ->  8.99
 | |
| subx938 subtract 101 92.006      ->  8.994
 | |
| precision: 5
 | |
| subx939 subtract 101 2.001       -> 98.999
 | |
| subx940 subtract 101 92.001      ->  8.999
 | |
| subx941 subtract 101 92.0006     ->  8.9994
 | |
| precision: 6
 | |
| subx942 subtract 101 2.0001      -> 98.9999
 | |
| subx943 subtract 101 92.0001     ->  8.9999
 | |
| subx944 subtract 101 92.00006    ->  8.99994
 | |
| precision: 7
 | |
| subx945 subtract 101 2.00001     -> 98.99999
 | |
| subx946 subtract 101 92.00001    ->  8.99999
 | |
| subx947 subtract 101 92.000006   ->  8.999994
 | |
| precision: 8
 | |
| subx948 subtract 101 2.000001    -> 98.999999
 | |
| subx949 subtract 101 92.000001   ->  8.999999
 | |
| subx950 subtract 101 92.0000006  ->  8.9999994
 | |
| precision: 9
 | |
| subx951 subtract 101 2.0000001   -> 98.9999999
 | |
| subx952 subtract 101 92.0000001  ->  8.9999999
 | |
| subx953 subtract 101 92.00000006 ->  8.99999994
 | |
| 
 | |
| precision: 9
 | |
| 
 | |
| -- more LHS swaps [were fixed]
 | |
| subx390 subtract '-56267E-10'   0 ->  '-0.0000056267'
 | |
| subx391 subtract '-56267E-6'    0 ->  '-0.056267'
 | |
| subx392 subtract '-56267E-5'    0 ->  '-0.56267'
 | |
| subx393 subtract '-56267E-4'    0 ->  '-5.6267'
 | |
| subx394 subtract '-56267E-3'    0 ->  '-56.267'
 | |
| subx395 subtract '-56267E-2'    0 ->  '-562.67'
 | |
| subx396 subtract '-56267E-1'    0 ->  '-5626.7'
 | |
| subx397 subtract '-56267E-0'    0 ->  '-56267'
 | |
| subx398 subtract '-5E-10'       0 ->  '-5E-10'
 | |
| subx399 subtract '-5E-7'        0 ->  '-5E-7'
 | |
| subx400 subtract '-5E-6'        0 ->  '-0.000005'
 | |
| subx401 subtract '-5E-5'        0 ->  '-0.00005'
 | |
| subx402 subtract '-5E-4'        0 ->  '-0.0005'
 | |
| subx403 subtract '-5E-1'        0 ->  '-0.5'
 | |
| subx404 subtract '-5E0'         0 ->  '-5'
 | |
| subx405 subtract '-5E1'         0 ->  '-50'
 | |
| subx406 subtract '-5E5'         0 ->  '-500000'
 | |
| subx407 subtract '-5E8'         0 ->  '-500000000'
 | |
| subx408 subtract '-5E9'         0 ->  '-5.00000000E+9'   Rounded
 | |
| subx409 subtract '-5E10'        0 ->  '-5.00000000E+10'  Rounded
 | |
| subx410 subtract '-5E11'        0 ->  '-5.00000000E+11'  Rounded
 | |
| subx411 subtract '-5E100'       0 ->  '-5.00000000E+100' Rounded
 | |
| 
 | |
| -- more RHS swaps [were fixed]
 | |
| subx420 subtract 0  '-56267E-10' ->  '0.0000056267'
 | |
| subx421 subtract 0  '-56267E-6'  ->  '0.056267'
 | |
| subx422 subtract 0  '-56267E-5'  ->  '0.56267'
 | |
| subx423 subtract 0  '-56267E-4'  ->  '5.6267'
 | |
| subx424 subtract 0  '-56267E-3'  ->  '56.267'
 | |
| subx425 subtract 0  '-56267E-2'  ->  '562.67'
 | |
| subx426 subtract 0  '-56267E-1'  ->  '5626.7'
 | |
| subx427 subtract 0  '-56267E-0'  ->  '56267'
 | |
| subx428 subtract 0  '-5E-10'     ->  '5E-10'
 | |
| subx429 subtract 0  '-5E-7'      ->  '5E-7'
 | |
| subx430 subtract 0  '-5E-6'      ->  '0.000005'
 | |
| subx431 subtract 0  '-5E-5'      ->  '0.00005'
 | |
| subx432 subtract 0  '-5E-4'      ->  '0.0005'
 | |
| subx433 subtract 0  '-5E-1'      ->  '0.5'
 | |
| subx434 subtract 0  '-5E0'       ->  '5'
 | |
| subx435 subtract 0  '-5E1'       ->  '50'
 | |
| subx436 subtract 0  '-5E5'       ->  '500000'
 | |
| subx437 subtract 0  '-5E8'       ->  '500000000'
 | |
| subx438 subtract 0  '-5E9'       ->  '5.00000000E+9'    Rounded
 | |
| subx439 subtract 0  '-5E10'      ->  '5.00000000E+10'   Rounded
 | |
| subx440 subtract 0  '-5E11'      ->  '5.00000000E+11'   Rounded
 | |
| subx441 subtract 0  '-5E100'     ->  '5.00000000E+100'  Rounded
 | |
| 
 | |
| 
 | |
| -- try borderline precision, with carries, etc.
 | |
| precision: 15
 | |
| subx461 subtract '1E+12' '1'       -> '999999999999'
 | |
| subx462 subtract '1E+12' '-1.11'   -> '1000000000001.11'
 | |
| subx463 subtract '1.11'  '-1E+12'  -> '1000000000001.11'
 | |
| subx464 subtract '-1'    '-1E+12'  -> '999999999999'
 | |
| subx465 subtract '7E+12' '1'       -> '6999999999999'
 | |
| subx466 subtract '7E+12' '-1.11'   -> '7000000000001.11'
 | |
| subx467 subtract '1.11'  '-7E+12'  -> '7000000000001.11'
 | |
| subx468 subtract '-1'    '-7E+12'  -> '6999999999999'
 | |
| 
 | |
| --                 123456789012345       123456789012345      1 23456789012345
 | |
| subx470 subtract '0.444444444444444'  '-0.555555555555563' -> '1.00000000000001' Inexact Rounded
 | |
| subx471 subtract '0.444444444444444'  '-0.555555555555562' -> '1.00000000000001' Inexact Rounded
 | |
| subx472 subtract '0.444444444444444'  '-0.555555555555561' -> '1.00000000000001' Inexact Rounded
 | |
| subx473 subtract '0.444444444444444'  '-0.555555555555560' -> '1.00000000000000' Inexact Rounded
 | |
| subx474 subtract '0.444444444444444'  '-0.555555555555559' -> '1.00000000000000' Inexact Rounded
 | |
| subx475 subtract '0.444444444444444'  '-0.555555555555558' -> '1.00000000000000' Inexact Rounded
 | |
| subx476 subtract '0.444444444444444'  '-0.555555555555557' -> '1.00000000000000' Inexact Rounded
 | |
| subx477 subtract '0.444444444444444'  '-0.555555555555556' -> '1.00000000000000' Rounded
 | |
| subx478 subtract '0.444444444444444'  '-0.555555555555555' -> '0.999999999999999'
 | |
| subx479 subtract '0.444444444444444'  '-0.555555555555554' -> '0.999999999999998'
 | |
| subx480 subtract '0.444444444444444'  '-0.555555555555553' -> '0.999999999999997'
 | |
| subx481 subtract '0.444444444444444'  '-0.555555555555552' -> '0.999999999999996'
 | |
| subx482 subtract '0.444444444444444'  '-0.555555555555551' -> '0.999999999999995'
 | |
| subx483 subtract '0.444444444444444'  '-0.555555555555550' -> '0.999999999999994'
 | |
| 
 | |
| -- and some more, including residue effects and different roundings
 | |
| precision: 9
 | |
| rounding: half_up
 | |
| subx500 subtract '123456789' 0             -> '123456789'
 | |
| subx501 subtract '123456789' 0.000000001   -> '123456789' Inexact Rounded
 | |
| subx502 subtract '123456789' 0.000001      -> '123456789' Inexact Rounded
 | |
| subx503 subtract '123456789' 0.1           -> '123456789' Inexact Rounded
 | |
| subx504 subtract '123456789' 0.4           -> '123456789' Inexact Rounded
 | |
| subx505 subtract '123456789' 0.49          -> '123456789' Inexact Rounded
 | |
| subx506 subtract '123456789' 0.499999      -> '123456789' Inexact Rounded
 | |
| subx507 subtract '123456789' 0.499999999   -> '123456789' Inexact Rounded
 | |
| subx508 subtract '123456789' 0.5           -> '123456789' Inexact Rounded
 | |
| subx509 subtract '123456789' 0.500000001   -> '123456788' Inexact Rounded
 | |
| subx510 subtract '123456789' 0.500001      -> '123456788' Inexact Rounded
 | |
| subx511 subtract '123456789' 0.51          -> '123456788' Inexact Rounded
 | |
| subx512 subtract '123456789' 0.6           -> '123456788' Inexact Rounded
 | |
| subx513 subtract '123456789' 0.9           -> '123456788' Inexact Rounded
 | |
| subx514 subtract '123456789' 0.99999       -> '123456788' Inexact Rounded
 | |
| subx515 subtract '123456789' 0.999999999   -> '123456788' Inexact Rounded
 | |
| subx516 subtract '123456789' 1             -> '123456788'
 | |
| subx517 subtract '123456789' 1.000000001   -> '123456788' Inexact Rounded
 | |
| subx518 subtract '123456789' 1.00001       -> '123456788' Inexact Rounded
 | |
| subx519 subtract '123456789' 1.1           -> '123456788' Inexact Rounded
 | |
| 
 | |
| rounding: half_even
 | |
| subx520 subtract '123456789' 0             -> '123456789'
 | |
| subx521 subtract '123456789' 0.000000001   -> '123456789' Inexact Rounded
 | |
| subx522 subtract '123456789' 0.000001      -> '123456789' Inexact Rounded
 | |
| subx523 subtract '123456789' 0.1           -> '123456789' Inexact Rounded
 | |
| subx524 subtract '123456789' 0.4           -> '123456789' Inexact Rounded
 | |
| subx525 subtract '123456789' 0.49          -> '123456789' Inexact Rounded
 | |
| subx526 subtract '123456789' 0.499999      -> '123456789' Inexact Rounded
 | |
| subx527 subtract '123456789' 0.499999999   -> '123456789' Inexact Rounded
 | |
| subx528 subtract '123456789' 0.5           -> '123456788' Inexact Rounded
 | |
| subx529 subtract '123456789' 0.500000001   -> '123456788' Inexact Rounded
 | |
| subx530 subtract '123456789' 0.500001      -> '123456788' Inexact Rounded
 | |
| subx531 subtract '123456789' 0.51          -> '123456788' Inexact Rounded
 | |
| subx532 subtract '123456789' 0.6           -> '123456788' Inexact Rounded
 | |
| subx533 subtract '123456789' 0.9           -> '123456788' Inexact Rounded
 | |
| subx534 subtract '123456789' 0.99999       -> '123456788' Inexact Rounded
 | |
| subx535 subtract '123456789' 0.999999999   -> '123456788' Inexact Rounded
 | |
| subx536 subtract '123456789' 1             -> '123456788'
 | |
| subx537 subtract '123456789' 1.00000001    -> '123456788' Inexact Rounded
 | |
| subx538 subtract '123456789' 1.00001       -> '123456788' Inexact Rounded
 | |
| subx539 subtract '123456789' 1.1           -> '123456788' Inexact Rounded
 | |
| -- critical few with even bottom digit...
 | |
| subx540 subtract '123456788' 0.499999999   -> '123456788' Inexact Rounded
 | |
| subx541 subtract '123456788' 0.5           -> '123456788' Inexact Rounded
 | |
| subx542 subtract '123456788' 0.500000001   -> '123456787' Inexact Rounded
 | |
| 
 | |
| rounding: down
 | |
| subx550 subtract '123456789' 0             -> '123456789'
 | |
| subx551 subtract '123456789' 0.000000001   -> '123456788' Inexact Rounded
 | |
| subx552 subtract '123456789' 0.000001      -> '123456788' Inexact Rounded
 | |
| subx553 subtract '123456789' 0.1           -> '123456788' Inexact Rounded
 | |
| subx554 subtract '123456789' 0.4           -> '123456788' Inexact Rounded
 | |
| subx555 subtract '123456789' 0.49          -> '123456788' Inexact Rounded
 | |
| subx556 subtract '123456789' 0.499999      -> '123456788' Inexact Rounded
 | |
| subx557 subtract '123456789' 0.499999999   -> '123456788' Inexact Rounded
 | |
| subx558 subtract '123456789' 0.5           -> '123456788' Inexact Rounded
 | |
| subx559 subtract '123456789' 0.500000001   -> '123456788' Inexact Rounded
 | |
| subx560 subtract '123456789' 0.500001      -> '123456788' Inexact Rounded
 | |
| subx561 subtract '123456789' 0.51          -> '123456788' Inexact Rounded
 | |
| subx562 subtract '123456789' 0.6           -> '123456788' Inexact Rounded
 | |
| subx563 subtract '123456789' 0.9           -> '123456788' Inexact Rounded
 | |
| subx564 subtract '123456789' 0.99999       -> '123456788' Inexact Rounded
 | |
| subx565 subtract '123456789' 0.999999999   -> '123456788' Inexact Rounded
 | |
| subx566 subtract '123456789' 1             -> '123456788'
 | |
| subx567 subtract '123456789' 1.00000001    -> '123456787' Inexact Rounded
 | |
| subx568 subtract '123456789' 1.00001       -> '123456787' Inexact Rounded
 | |
| subx569 subtract '123456789' 1.1           -> '123456787' Inexact Rounded
 | |
| 
 | |
| -- symmetry...
 | |
| rounding: half_up
 | |
| subx600 subtract 0             '123456789' -> '-123456789'
 | |
| subx601 subtract 0.000000001   '123456789' -> '-123456789' Inexact Rounded
 | |
| subx602 subtract 0.000001      '123456789' -> '-123456789' Inexact Rounded
 | |
| subx603 subtract 0.1           '123456789' -> '-123456789' Inexact Rounded
 | |
| subx604 subtract 0.4           '123456789' -> '-123456789' Inexact Rounded
 | |
| subx605 subtract 0.49          '123456789' -> '-123456789' Inexact Rounded
 | |
| subx606 subtract 0.499999      '123456789' -> '-123456789' Inexact Rounded
 | |
| subx607 subtract 0.499999999   '123456789' -> '-123456789' Inexact Rounded
 | |
| subx608 subtract 0.5           '123456789' -> '-123456789' Inexact Rounded
 | |
| subx609 subtract 0.500000001   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx610 subtract 0.500001      '123456789' -> '-123456788' Inexact Rounded
 | |
| subx611 subtract 0.51          '123456789' -> '-123456788' Inexact Rounded
 | |
| subx612 subtract 0.6           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx613 subtract 0.9           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx614 subtract 0.99999       '123456789' -> '-123456788' Inexact Rounded
 | |
| subx615 subtract 0.999999999   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx616 subtract 1             '123456789' -> '-123456788'
 | |
| subx617 subtract 1.000000001   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx618 subtract 1.00001       '123456789' -> '-123456788' Inexact Rounded
 | |
| subx619 subtract 1.1           '123456789' -> '-123456788' Inexact Rounded
 | |
| 
 | |
| rounding: half_even
 | |
| subx620 subtract 0             '123456789' -> '-123456789'
 | |
| subx621 subtract 0.000000001   '123456789' -> '-123456789' Inexact Rounded
 | |
| subx622 subtract 0.000001      '123456789' -> '-123456789' Inexact Rounded
 | |
| subx623 subtract 0.1           '123456789' -> '-123456789' Inexact Rounded
 | |
| subx624 subtract 0.4           '123456789' -> '-123456789' Inexact Rounded
 | |
| subx625 subtract 0.49          '123456789' -> '-123456789' Inexact Rounded
 | |
| subx626 subtract 0.499999      '123456789' -> '-123456789' Inexact Rounded
 | |
| subx627 subtract 0.499999999   '123456789' -> '-123456789' Inexact Rounded
 | |
| subx628 subtract 0.5           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx629 subtract 0.500000001   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx630 subtract 0.500001      '123456789' -> '-123456788' Inexact Rounded
 | |
| subx631 subtract 0.51          '123456789' -> '-123456788' Inexact Rounded
 | |
| subx632 subtract 0.6           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx633 subtract 0.9           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx634 subtract 0.99999       '123456789' -> '-123456788' Inexact Rounded
 | |
| subx635 subtract 0.999999999   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx636 subtract 1             '123456789' -> '-123456788'
 | |
| subx637 subtract 1.00000001    '123456789' -> '-123456788' Inexact Rounded
 | |
| subx638 subtract 1.00001       '123456789' -> '-123456788' Inexact Rounded
 | |
| subx639 subtract 1.1           '123456789' -> '-123456788' Inexact Rounded
 | |
| -- critical few with even bottom digit...
 | |
| subx640 subtract 0.499999999   '123456788' -> '-123456788' Inexact Rounded
 | |
| subx641 subtract 0.5           '123456788' -> '-123456788' Inexact Rounded
 | |
| subx642 subtract 0.500000001   '123456788' -> '-123456787' Inexact Rounded
 | |
| 
 | |
| rounding: down
 | |
| subx650 subtract 0             '123456789' -> '-123456789'
 | |
| subx651 subtract 0.000000001   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx652 subtract 0.000001      '123456789' -> '-123456788' Inexact Rounded
 | |
| subx653 subtract 0.1           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx654 subtract 0.4           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx655 subtract 0.49          '123456789' -> '-123456788' Inexact Rounded
 | |
| subx656 subtract 0.499999      '123456789' -> '-123456788' Inexact Rounded
 | |
| subx657 subtract 0.499999999   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx658 subtract 0.5           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx659 subtract 0.500000001   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx660 subtract 0.500001      '123456789' -> '-123456788' Inexact Rounded
 | |
| subx661 subtract 0.51          '123456789' -> '-123456788' Inexact Rounded
 | |
| subx662 subtract 0.6           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx663 subtract 0.9           '123456789' -> '-123456788' Inexact Rounded
 | |
| subx664 subtract 0.99999       '123456789' -> '-123456788' Inexact Rounded
 | |
| subx665 subtract 0.999999999   '123456789' -> '-123456788' Inexact Rounded
 | |
| subx666 subtract 1             '123456789' -> '-123456788'
 | |
| subx667 subtract 1.00000001    '123456789' -> '-123456787' Inexact Rounded
 | |
| subx668 subtract 1.00001       '123456789' -> '-123456787' Inexact Rounded
 | |
| subx669 subtract 1.1           '123456789' -> '-123456787' Inexact Rounded
 | |
| 
 | |
| 
 | |
| -- lots of leading zeros in intermediate result, and showing effects of
 | |
| -- input rounding would have affected the following
 | |
| precision: 9
 | |
| rounding: half_up
 | |
| subx670 subtract '123456789' '123456788.1' -> 0.9
 | |
| subx671 subtract '123456789' '123456788.9' -> 0.1
 | |
| subx672 subtract '123456789' '123456789.1' -> -0.1
 | |
| subx673 subtract '123456789' '123456789.5' -> -0.5
 | |
| subx674 subtract '123456789' '123456789.9' -> -0.9
 | |
| 
 | |
| rounding: half_even
 | |
| subx680 subtract '123456789' '123456788.1' -> 0.9
 | |
| subx681 subtract '123456789' '123456788.9' -> 0.1
 | |
| subx682 subtract '123456789' '123456789.1' -> -0.1
 | |
| subx683 subtract '123456789' '123456789.5' -> -0.5
 | |
| subx684 subtract '123456789' '123456789.9' -> -0.9
 | |
| 
 | |
| subx685 subtract '123456788' '123456787.1' -> 0.9
 | |
| subx686 subtract '123456788' '123456787.9' -> 0.1
 | |
| subx687 subtract '123456788' '123456788.1' -> -0.1
 | |
| subx688 subtract '123456788' '123456788.5' -> -0.5
 | |
| subx689 subtract '123456788' '123456788.9' -> -0.9
 | |
| 
 | |
| rounding: down
 | |
| subx690 subtract '123456789' '123456788.1' -> 0.9
 | |
| subx691 subtract '123456789' '123456788.9' -> 0.1
 | |
| subx692 subtract '123456789' '123456789.1' -> -0.1
 | |
| subx693 subtract '123456789' '123456789.5' -> -0.5
 | |
| subx694 subtract '123456789' '123456789.9' -> -0.9
 | |
| 
 | |
| -- input preparation tests
 | |
| rounding: half_up
 | |
| precision: 3
 | |
| 
 | |
| subx700 subtract '12345678900000'  -9999999999999 ->  '2.23E+13' Inexact Rounded
 | |
| subx701 subtract  '9999999999999' -12345678900000 ->  '2.23E+13' Inexact Rounded
 | |
| subx702 subtract '12E+3'  '-3456' ->  '1.55E+4' Inexact Rounded
 | |
| subx703 subtract '12E+3'  '-3446' ->  '1.54E+4' Inexact Rounded
 | |
| subx704 subtract '12E+3'  '-3454' ->  '1.55E+4' Inexact Rounded
 | |
| subx705 subtract '12E+3'  '-3444' ->  '1.54E+4' Inexact Rounded
 | |
| 
 | |
| subx706 subtract '3456'  '-12E+3' ->  '1.55E+4' Inexact Rounded
 | |
| subx707 subtract '3446'  '-12E+3' ->  '1.54E+4' Inexact Rounded
 | |
| subx708 subtract '3454'  '-12E+3' ->  '1.55E+4' Inexact Rounded
 | |
| subx709 subtract '3444'  '-12E+3' ->  '1.54E+4' Inexact Rounded
 | |
| 
 | |
| -- overflow and underflow tests [subnormals now possible]
 | |
| maxexponent: 999999999
 | |
| minexponent: -999999999
 | |
| precision: 9
 | |
| rounding: down
 | |
| subx710 subtract 1E+999999999    -9E+999999999   -> 9.99999999E+999999999 Overflow Inexact Rounded
 | |
| subx711 subtract 9E+999999999    -1E+999999999   -> 9.99999999E+999999999 Overflow Inexact Rounded
 | |
| rounding: half_up
 | |
| subx712 subtract 1E+999999999    -9E+999999999   -> Infinity Overflow Inexact Rounded
 | |
| subx713 subtract 9E+999999999    -1E+999999999   -> Infinity Overflow Inexact Rounded
 | |
| subx714 subtract -1.1E-999999999 -1E-999999999   -> -1E-1000000000 Subnormal
 | |
| subx715 subtract 1E-999999999    +1.1e-999999999 -> -1E-1000000000 Subnormal
 | |
| subx716 subtract -1E+999999999   +9E+999999999   -> -Infinity Overflow Inexact Rounded
 | |
| subx717 subtract -9E+999999999   +1E+999999999   -> -Infinity Overflow Inexact Rounded
 | |
| subx718 subtract +1.1E-999999999 +1E-999999999   -> 1E-1000000000 Subnormal
 | |
| subx719 subtract -1E-999999999   -1.1e-999999999 -> 1E-1000000000 Subnormal
 | |
| 
 | |
| precision: 3
 | |
| subx720 subtract 1  9.999E+999999999   -> -Infinity Inexact Overflow Rounded
 | |
| subx721 subtract 1 -9.999E+999999999   ->  Infinity Inexact Overflow Rounded
 | |
| subx722 subtract    9.999E+999999999 1 ->  Infinity Inexact Overflow Rounded
 | |
| subx723 subtract   -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded
 | |
| subx724 subtract 1  9.999E+999999999   -> -Infinity Inexact Overflow Rounded
 | |
| subx725 subtract 1 -9.999E+999999999   ->  Infinity Inexact Overflow Rounded
 | |
| subx726 subtract    9.999E+999999999 1 ->  Infinity Inexact Overflow Rounded
 | |
| subx727 subtract   -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded
 | |
| 
 | |
| -- [more below]
 | |
| 
 | |
| -- long operand checks
 | |
| maxexponent: 999
 | |
| minexponent: -999
 | |
| precision: 9
 | |
| sub731 subtract 12345678000 0 ->  1.23456780E+10 Rounded
 | |
| sub732 subtract 0 12345678000 -> -1.23456780E+10 Rounded
 | |
| sub733 subtract 1234567800  0 ->  1.23456780E+9 Rounded
 | |
| sub734 subtract 0 1234567800  -> -1.23456780E+9 Rounded
 | |
| sub735 subtract 1234567890  0 ->  1.23456789E+9 Rounded
 | |
| sub736 subtract 0 1234567890  -> -1.23456789E+9 Rounded
 | |
| sub737 subtract 1234567891  0 ->  1.23456789E+9 Inexact Rounded
 | |
| sub738 subtract 0 1234567891  -> -1.23456789E+9 Inexact Rounded
 | |
| sub739 subtract 12345678901 0 ->  1.23456789E+10 Inexact Rounded
 | |
| sub740 subtract 0 12345678901 -> -1.23456789E+10 Inexact Rounded
 | |
| sub741 subtract 1234567896  0 ->  1.23456790E+9 Inexact Rounded
 | |
| sub742 subtract 0 1234567896  -> -1.23456790E+9 Inexact Rounded
 | |
| 
 | |
| precision: 15
 | |
| sub751 subtract 12345678000 0 ->  12345678000
 | |
| sub752 subtract 0 12345678000 -> -12345678000
 | |
| sub753 subtract 1234567800  0 ->  1234567800
 | |
| sub754 subtract 0 1234567800  -> -1234567800
 | |
| sub755 subtract 1234567890  0 ->  1234567890
 | |
| sub756 subtract 0 1234567890  -> -1234567890
 | |
| sub757 subtract 1234567891  0 ->  1234567891
 | |
| sub758 subtract 0 1234567891  -> -1234567891
 | |
| sub759 subtract 12345678901 0 ->  12345678901
 | |
| sub760 subtract 0 12345678901 -> -12345678901
 | |
| sub761 subtract 1234567896  0 ->  1234567896
 | |
| sub762 subtract 0 1234567896  -> -1234567896
 | |
| 
 | |
| -- Specials
 | |
| subx780 subtract -Inf   Inf   -> -Infinity
 | |
| subx781 subtract -Inf   1000  -> -Infinity
 | |
| subx782 subtract -Inf   1     -> -Infinity
 | |
| subx783 subtract -Inf  -0     -> -Infinity
 | |
| subx784 subtract -Inf  -1     -> -Infinity
 | |
| subx785 subtract -Inf  -1000  -> -Infinity
 | |
| subx787 subtract -1000  Inf   -> -Infinity
 | |
| subx788 subtract -Inf   Inf   -> -Infinity
 | |
| subx789 subtract -1     Inf   -> -Infinity
 | |
| subx790 subtract  0     Inf   -> -Infinity
 | |
| subx791 subtract  1     Inf   -> -Infinity
 | |
| subx792 subtract  1000  Inf   -> -Infinity
 | |
| 
 | |
| subx800 subtract  Inf   Inf   ->  NaN  Invalid_operation
 | |
| subx801 subtract  Inf   1000  ->  Infinity
 | |
| subx802 subtract  Inf   1     ->  Infinity
 | |
| subx803 subtract  Inf   0     ->  Infinity
 | |
| subx804 subtract  Inf  -0     ->  Infinity
 | |
| subx805 subtract  Inf  -1     ->  Infinity
 | |
| subx806 subtract  Inf  -1000  ->  Infinity
 | |
| subx807 subtract  Inf  -Inf   ->  Infinity
 | |
| subx808 subtract -1000 -Inf   ->  Infinity
 | |
| subx809 subtract -Inf  -Inf   ->  NaN  Invalid_operation
 | |
| subx810 subtract -1    -Inf   ->  Infinity
 | |
| subx811 subtract -0    -Inf   ->  Infinity
 | |
| subx812 subtract  0    -Inf   ->  Infinity
 | |
| subx813 subtract  1    -Inf   ->  Infinity
 | |
| subx814 subtract  1000 -Inf   ->  Infinity
 | |
| subx815 subtract  Inf  -Inf   ->  Infinity
 | |
| 
 | |
| subx821 subtract  NaN   Inf   ->  NaN
 | |
| subx822 subtract -NaN   1000  -> -NaN
 | |
| subx823 subtract  NaN   1     ->  NaN
 | |
| subx824 subtract  NaN   0     ->  NaN
 | |
| subx825 subtract  NaN  -0     ->  NaN
 | |
| subx826 subtract  NaN  -1     ->  NaN
 | |
| subx827 subtract  NaN  -1000  ->  NaN
 | |
| subx828 subtract  NaN  -Inf   ->  NaN
 | |
| subx829 subtract -NaN   NaN   -> -NaN
 | |
| subx830 subtract -Inf   NaN   ->  NaN
 | |
| subx831 subtract -1000  NaN   ->  NaN
 | |
| subx832 subtract -1     NaN   ->  NaN
 | |
| subx833 subtract -0     NaN   ->  NaN
 | |
| subx834 subtract  0     NaN   ->  NaN
 | |
| subx835 subtract  1     NaN   ->  NaN
 | |
| subx836 subtract  1000 -NaN   -> -NaN
 | |
| subx837 subtract  Inf   NaN   ->  NaN
 | |
| 
 | |
| subx841 subtract  sNaN  Inf   ->  NaN  Invalid_operation
 | |
| subx842 subtract -sNaN  1000  -> -NaN  Invalid_operation
 | |
| subx843 subtract  sNaN  1     ->  NaN  Invalid_operation
 | |
| subx844 subtract  sNaN  0     ->  NaN  Invalid_operation
 | |
| subx845 subtract  sNaN -0     ->  NaN  Invalid_operation
 | |
| subx846 subtract  sNaN -1     ->  NaN  Invalid_operation
 | |
| subx847 subtract  sNaN -1000  ->  NaN  Invalid_operation
 | |
| subx848 subtract  sNaN  NaN   ->  NaN  Invalid_operation
 | |
| subx849 subtract  sNaN sNaN   ->  NaN  Invalid_operation
 | |
| subx850 subtract  NaN  sNaN   ->  NaN  Invalid_operation
 | |
| subx851 subtract -Inf -sNaN   -> -NaN  Invalid_operation
 | |
| subx852 subtract -1000 sNaN   ->  NaN  Invalid_operation
 | |
| subx853 subtract -1    sNaN   ->  NaN  Invalid_operation
 | |
| subx854 subtract -0    sNaN   ->  NaN  Invalid_operation
 | |
| subx855 subtract  0    sNaN   ->  NaN  Invalid_operation
 | |
| subx856 subtract  1    sNaN   ->  NaN  Invalid_operation
 | |
| subx857 subtract  1000 sNaN   ->  NaN  Invalid_operation
 | |
| subx858 subtract  Inf  sNaN   ->  NaN  Invalid_operation
 | |
| subx859 subtract  NaN  sNaN   ->  NaN  Invalid_operation
 | |
| 
 | |
| -- propagating NaNs
 | |
| subx861 subtract  NaN01   -Inf     ->  NaN1
 | |
| subx862 subtract -NaN02   -1000    -> -NaN2
 | |
| subx863 subtract  NaN03    1000    ->  NaN3
 | |
| subx864 subtract  NaN04    Inf     ->  NaN4
 | |
| subx865 subtract  NaN05    NaN61   ->  NaN5
 | |
| subx866 subtract -Inf     -NaN71   -> -NaN71
 | |
| subx867 subtract -1000     NaN81   ->  NaN81
 | |
| subx868 subtract  1000     NaN91   ->  NaN91
 | |
| subx869 subtract  Inf      NaN101  ->  NaN101
 | |
| subx871 subtract  sNaN011  -Inf    ->  NaN11  Invalid_operation
 | |
| subx872 subtract  sNaN012  -1000   ->  NaN12  Invalid_operation
 | |
| subx873 subtract -sNaN013   1000   -> -NaN13  Invalid_operation
 | |
| subx874 subtract  sNaN014   NaN171 ->  NaN14  Invalid_operation
 | |
| subx875 subtract  sNaN015  sNaN181 ->  NaN15  Invalid_operation
 | |
| subx876 subtract  NaN016   sNaN191 ->  NaN191 Invalid_operation
 | |
| subx877 subtract -Inf      sNaN201 ->  NaN201 Invalid_operation
 | |
| subx878 subtract -1000     sNaN211 ->  NaN211 Invalid_operation
 | |
| subx879 subtract  1000    -sNaN221 -> -NaN221 Invalid_operation
 | |
| subx880 subtract  Inf      sNaN231 ->  NaN231 Invalid_operation
 | |
| subx881 subtract  NaN025   sNaN241 ->  NaN241 Invalid_operation
 | |
| 
 | |
| -- edge case spills
 | |
| subx901 subtract  2.E-3  1.002  -> -1.000
 | |
| subx902 subtract  2.0E-3  1.002  -> -1.0000
 | |
| subx903 subtract  2.00E-3  1.0020  -> -1.00000
 | |
| subx904 subtract  2.000E-3  1.00200  -> -1.000000
 | |
| subx905 subtract  2.0000E-3  1.002000  -> -1.0000000
 | |
| subx906 subtract  2.00000E-3  1.0020000  -> -1.00000000
 | |
| subx907 subtract  2.000000E-3  1.00200000  -> -1.000000000
 | |
| subx908 subtract  2.0000000E-3  1.002000000  -> -1.0000000000
 | |
| 
 | |
| -- subnormals and underflows
 | |
| precision: 3
 | |
| maxexponent: 999
 | |
| minexponent: -999
 | |
| subx1010 subtract  0  1.00E-999       ->  -1.00E-999
 | |
| subx1011 subtract  0  0.1E-999        ->  -1E-1000   Subnormal
 | |
| subx1012 subtract  0  0.10E-999       ->  -1.0E-1000 Subnormal
 | |
| subx1013 subtract  0  0.100E-999      ->  -1.0E-1000 Subnormal Rounded
 | |
| subx1014 subtract  0  0.01E-999       ->  -1E-1001   Subnormal
 | |
| -- next is rounded to Emin
 | |
| subx1015 subtract  0  0.999E-999      ->  -1.00E-999 Inexact Rounded Subnormal Underflow
 | |
| subx1016 subtract  0  0.099E-999      ->  -1.0E-1000 Inexact Rounded Subnormal Underflow
 | |
| subx1017 subtract  0  0.009E-999      ->  -1E-1001   Inexact Rounded Subnormal Underflow
 | |
| subx1018 subtract  0  0.001E-999      ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1019 subtract  0  0.0009E-999     ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1020 subtract  0  0.0001E-999     ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped
 | |
| 
 | |
| subx1030 subtract  0 -1.00E-999       ->   1.00E-999
 | |
| subx1031 subtract  0 -0.1E-999        ->   1E-1000   Subnormal
 | |
| subx1032 subtract  0 -0.10E-999       ->   1.0E-1000 Subnormal
 | |
| subx1033 subtract  0 -0.100E-999      ->   1.0E-1000 Subnormal Rounded
 | |
| subx1034 subtract  0 -0.01E-999       ->   1E-1001   Subnormal
 | |
| -- next is rounded to Emin
 | |
| subx1035 subtract  0 -0.999E-999      ->   1.00E-999 Inexact Rounded Subnormal Underflow
 | |
| subx1036 subtract  0 -0.099E-999      ->   1.0E-1000 Inexact Rounded Subnormal Underflow
 | |
| subx1037 subtract  0 -0.009E-999      ->   1E-1001   Inexact Rounded Subnormal Underflow
 | |
| subx1038 subtract  0 -0.001E-999      ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1039 subtract  0 -0.0009E-999     ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1040 subtract  0 -0.0001E-999     ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped
 | |
| 
 | |
| -- some non-zero subnormal subtracts
 | |
| -- subx1056 is a tricky case
 | |
| rounding: half_up
 | |
| subx1050 subtract  1.00E-999   0.1E-999  ->   9.0E-1000  Subnormal
 | |
| subx1051 subtract  0.1E-999    0.1E-999  ->   0E-1000
 | |
| subx1052 subtract  0.10E-999   0.1E-999  ->   0E-1001
 | |
| subx1053 subtract  0.100E-999  0.1E-999  ->   0E-1001    Clamped
 | |
| subx1054 subtract  0.01E-999   0.1E-999  ->   -9E-1001   Subnormal
 | |
| subx1055 subtract  0.999E-999  0.1E-999  ->   9.0E-1000  Inexact Rounded Subnormal Underflow
 | |
| subx1056 subtract  0.099E-999  0.1E-999  ->   -0E-1001   Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1057 subtract  0.009E-999  0.1E-999  ->   -9E-1001   Inexact Rounded Subnormal Underflow
 | |
| subx1058 subtract  0.001E-999  0.1E-999  ->   -1.0E-1000 Inexact Rounded Subnormal Underflow
 | |
| subx1059 subtract  0.0009E-999 0.1E-999  ->   -1.0E-1000 Inexact Rounded Subnormal Underflow
 | |
| subx1060 subtract  0.0001E-999 0.1E-999  ->   -1.0E-1000 Inexact Rounded Subnormal Underflow
 | |
| 
 | |
| 
 | |
| -- check for double-rounded subnormals
 | |
| precision:   5
 | |
| maxexponent: 79
 | |
| minexponent: -79
 | |
| subx1101 subtract  0 1.52444E-80 -> -1.524E-80 Inexact Rounded Subnormal Underflow
 | |
| subx1102 subtract  0 1.52445E-80 -> -1.524E-80 Inexact Rounded Subnormal Underflow
 | |
| subx1103 subtract  0 1.52446E-80 -> -1.524E-80 Inexact Rounded Subnormal Underflow
 | |
| subx1104 subtract  1.52444E-80 0 ->  1.524E-80 Inexact Rounded Subnormal Underflow
 | |
| subx1105 subtract  1.52445E-80 0 ->  1.524E-80 Inexact Rounded Subnormal Underflow
 | |
| subx1106 subtract  1.52446E-80 0 ->  1.524E-80 Inexact Rounded Subnormal Underflow
 | |
| 
 | |
| subx1111 subtract  1.2345678E-80  1.2345671E-80 ->  0E-83 Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1112 subtract  1.2345678E-80  1.2345618E-80 ->  0E-83 Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1113 subtract  1.2345678E-80  1.2345178E-80 ->  0E-83 Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1114 subtract  1.2345678E-80  1.2341678E-80 ->  0E-83 Inexact Rounded Subnormal Underflow Clamped
 | |
| subx1115 subtract  1.2345678E-80  1.2315678E-80 ->  3E-83         Rounded Subnormal
 | |
| subx1116 subtract  1.2345678E-80  1.2145678E-80 ->  2.0E-82       Rounded Subnormal
 | |
| subx1117 subtract  1.2345678E-80  1.1345678E-80 ->  1.00E-81      Rounded Subnormal
 | |
| subx1118 subtract  1.2345678E-80  0.2345678E-80 ->  1.000E-80     Rounded Subnormal
 | |
| 
 | |
| precision:   34
 | |
| rounding:    half_up
 | |
| maxExponent: 6144
 | |
| minExponent: -6143
 | |
| -- Examples from SQL proposal (Krishna Kulkarni)
 | |
| subx1125  subtract 130E-2  120E-2 -> 0.10
 | |
| subx1126  subtract 130E-2  12E-1  -> 0.10
 | |
| subx1127  subtract 130E-2  1E0    -> 0.30
 | |
| subx1128  subtract 1E2     1E4    -> -9.9E+3
 | |
| 
 | |
| -- Null tests
 | |
| subx9990 subtract 10  # -> NaN Invalid_operation
 | |
| subx9991 subtract  # 10 -> NaN Invalid_operation
 |