------------------------------------------------------------------------

-- dqSubtract.decTest -- decQuad subtraction                          --

-- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --

------------------------------------------------------------------------

-- Please see the document "General Decimal Arithmetic Testcases"     --

-- at http://www2.hursley.ibm.com/decimal for the description of      --

-- these testcases.                                                   --

--                                                                    --

-- These testcases are experimental ('beta' versions), and they       --

-- may contain errors.  They are offered on an as-is basis.  In       --

-- particular, achieving the same results as the tests here is not    --

-- a guarantee that an implementation complies with any Standard      --

-- or specification.  The tests are not exhaustive.                   --

--                                                                    --

-- Please send comments, suggestions, and corrections to the author:  --

--   Mike Cowlishaw, IBM Fellow                                       --

--   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --

--   mfc@uk.ibm.com                                                   --

------------------------------------------------------------------------

version: 2.58



-- This set of tests are for decQuads only; all arguments are

-- representable in a decQuad

extended:    1

clamp:       1

precision:   34

maxExponent: 6144

minExponent: -6143

rounding:    half_even



-- [first group are 'quick confidence check']

dqsub001 subtract  0   0  -> '0'

dqsub002 subtract  1   1  -> '0'

dqsub003 subtract  1   2  -> '-1'

dqsub004 subtract  2   1  -> '1'

dqsub005 subtract  2   2  -> '0'

dqsub006 subtract  3   2  -> '1'

dqsub007 subtract  2   3  -> '-1'



dqsub011 subtract -0   0  -> '-0'

dqsub012 subtract -1   1  -> '-2'

dqsub013 subtract -1   2  -> '-3'

dqsub014 subtract -2   1  -> '-3'

dqsub015 subtract -2   2  -> '-4'

dqsub016 subtract -3   2  -> '-5'

dqsub017 subtract -2   3  -> '-5'



dqsub021 subtract  0  -0  -> '0'

dqsub022 subtract  1  -1  -> '2'

dqsub023 subtract  1  -2  -> '3'

dqsub024 subtract  2  -1  -> '3'

dqsub025 subtract  2  -2  -> '4'

dqsub026 subtract  3  -2  -> '5'

dqsub027 subtract  2  -3  -> '5'



dqsub030 subtract  11  1  -> 10

dqsub031 subtract  10  1  ->  9

dqsub032 subtract  9   1  ->  8

dqsub033 subtract  1   1  ->  0

dqsub034 subtract  0   1  -> -1

dqsub035 subtract -1   1  -> -2

dqsub036 subtract -9   1  -> -10

dqsub037 subtract -10  1  -> -11

dqsub038 subtract -11  1  -> -12



dqsub040 subtract '5.75' '3.3'  -> '2.45'

dqsub041 subtract '5'    '-3'   -> '8'

dqsub042 subtract '-5'   '-3'   -> '-2'

dqsub043 subtract '-7'   '2.5'  -> '-9.5'

dqsub044 subtract '0.7'  '0.3'  -> '0.4'

dqsub045 subtract '1.3'  '0.3'  -> '1.0'

dqsub046 subtract '1.25' '1.25' -> '0.00'



dqsub050 subtract '1.23456789'    '1.00000000' -> '0.23456789'

dqsub051 subtract '1.23456789'    '1.00000089' -> '0.23456700'



dqsub060 subtract '70'    '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded

dqsub061 subtract '700'    '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded

dqsub062 subtract '7000'    '10000e+34' -> '-9.999999999999999999999999999999999E+37' Inexact Rounded

dqsub063 subtract '70000'    '10000e+34' -> '-9.999999999999999999999999999999993E+37' Rounded

dqsub064 subtract '700000'    '10000e+34' -> '-9.999999999999999999999999999999930E+37' Rounded

  -- symmetry:

dqsub065 subtract '10000e+34'    '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded

dqsub066 subtract '10000e+34'    '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded

dqsub067 subtract '10000e+34'    '7000' -> '9.999999999999999999999999999999999E+37' Inexact Rounded

dqsub068 subtract '10000e+34'    '70000' -> '9.999999999999999999999999999999993E+37' Rounded

dqsub069 subtract '10000e+34'    '700000' -> '9.999999999999999999999999999999930E+37' Rounded



  -- some of the next group are really constructor tests

dqsub090 subtract '00.0'    '0.0'  -> '0.0'

dqsub091 subtract '00.0'    '0.00' -> '0.00'

dqsub092 subtract '0.00'    '00.0' -> '0.00'

dqsub093 subtract '00.0'    '0.00' -> '0.00'

dqsub094 subtract '0.00'    '00.0' -> '0.00'

dqsub095 subtract '3'    '.3'   -> '2.7'

dqsub096 subtract '3.'   '.3'   -> '2.7'

dqsub097 subtract '3.0'  '.3'   -> '2.7'

dqsub098 subtract '3.00' '.3'   -> '2.70'

dqsub099 subtract '3'    '3'    -> '0'

dqsub100 subtract '3'    '+3'   -> '0'

dqsub101 subtract '3'    '-3'   -> '6'

dqsub102 subtract '3'    '0.3'  -> '2.7'

dqsub103 subtract '3.'   '0.3'  -> '2.7'

dqsub104 subtract '3.0'  '0.3'  -> '2.7'

dqsub105 subtract '3.00' '0.3'  -> '2.70'

dqsub106 subtract '3'    '3.0'  -> '0.0'

dqsub107 subtract '3'    '+3.0' -> '0.0'

dqsub108 subtract '3'    '-3.0' -> '6.0'



-- the above all from add; massaged and extended.  Now some new ones...

-- [particularly important for comparisons]

-- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7

-- with input rounding.

dqsub120 subtract  '10.23456784'    '10.23456789'  -> '-5E-8'

dqsub121 subtract  '10.23456785'    '10.23456789'  -> '-4E-8'

dqsub122 subtract  '10.23456786'    '10.23456789'  -> '-3E-8'

dqsub123 subtract  '10.23456787'    '10.23456789'  -> '-2E-8'

dqsub124 subtract  '10.23456788'    '10.23456789'  -> '-1E-8'

dqsub125 subtract  '10.23456789'    '10.23456789'  -> '0E-8'

dqsub126 subtract  '10.23456790'    '10.23456789'  -> '1E-8'

dqsub127 subtract  '10.23456791'    '10.23456789'  -> '2E-8'

dqsub128 subtract  '10.23456792'    '10.23456789'  -> '3E-8'

dqsub129 subtract  '10.23456793'    '10.23456789'  -> '4E-8'

dqsub130 subtract  '10.23456794'    '10.23456789'  -> '5E-8'

dqsub131 subtract  '10.23456781'    '10.23456786'  -> '-5E-8'

dqsub132 subtract  '10.23456782'    '10.23456786'  -> '-4E-8'

dqsub133 subtract  '10.23456783'    '10.23456786'  -> '-3E-8'

dqsub134 subtract  '10.23456784'    '10.23456786'  -> '-2E-8'

dqsub135 subtract  '10.23456785'    '10.23456786'  -> '-1E-8'

dqsub136 subtract  '10.23456786'    '10.23456786'  -> '0E-8'

dqsub137 subtract  '10.23456787'    '10.23456786'  -> '1E-8'

dqsub138 subtract  '10.23456788'    '10.23456786'  -> '2E-8'

dqsub139 subtract  '10.23456789'    '10.23456786'  -> '3E-8'

dqsub140 subtract  '10.23456790'    '10.23456786'  -> '4E-8'

dqsub141 subtract  '10.23456791'    '10.23456786'  -> '5E-8'

dqsub142 subtract  '1'              '0.999999999'  -> '1E-9'

dqsub143 subtract  '0.999999999'    '1'            -> '-1E-9'

dqsub144 subtract  '-10.23456780'   '-10.23456786' -> '6E-8'

dqsub145 subtract  '-10.23456790'   '-10.23456786' -> '-4E-8'

dqsub146 subtract  '-10.23456791'   '-10.23456786' -> '-5E-8'



-- additional scaled arithmetic tests [0.97 problem]

dqsub160 subtract '0'     '.1'      -> '-0.1'

dqsub161 subtract '00'    '.97983'  -> '-0.97983'

dqsub162 subtract '0'     '.9'      -> '-0.9'

dqsub163 subtract '0'     '0.102'   -> '-0.102'

dqsub164 subtract '0'     '.4'      -> '-0.4'

dqsub165 subtract '0'     '.307'    -> '-0.307'

dqsub166 subtract '0'     '.43822'  -> '-0.43822'

dqsub167 subtract '0'     '.911'    -> '-0.911'

dqsub168 subtract '.0'    '.02'     -> '-0.02'

dqsub169 subtract '00'    '.392'    -> '-0.392'

dqsub170 subtract '0'     '.26'     -> '-0.26'

dqsub171 subtract '0'     '0.51'    -> '-0.51'

dqsub172 subtract '0'     '.2234'   -> '-0.2234'

dqsub173 subtract '0'     '.2'      -> '-0.2'

dqsub174 subtract '.0'    '.0008'   -> '-0.0008'

-- 0. on left

dqsub180 subtract '0.0'     '-.1'      -> '0.1'

dqsub181 subtract '0.00'    '-.97983'  -> '0.97983'

dqsub182 subtract '0.0'     '-.9'      -> '0.9'

dqsub183 subtract '0.0'     '-0.102'   -> '0.102'

dqsub184 subtract '0.0'     '-.4'      -> '0.4'

dqsub185 subtract '0.0'     '-.307'    -> '0.307'

dqsub186 subtract '0.0'     '-.43822'  -> '0.43822'

dqsub187 subtract '0.0'     '-.911'    -> '0.911'

dqsub188 subtract '0.0'     '-.02'     -> '0.02'

dqsub189 subtract '0.00'    '-.392'    -> '0.392'

dqsub190 subtract '0.0'     '-.26'     -> '0.26'

dqsub191 subtract '0.0'     '-0.51'    -> '0.51'

dqsub192 subtract '0.0'     '-.2234'   -> '0.2234'

dqsub193 subtract '0.0'     '-.2'      -> '0.2'

dqsub194 subtract '0.0'     '-.0008'   -> '0.0008'

-- negatives of same

dqsub200 subtract '0'     '-.1'      -> '0.1'

dqsub201 subtract '00'    '-.97983'  -> '0.97983'

dqsub202 subtract '0'     '-.9'      -> '0.9'

dqsub203 subtract '0'     '-0.102'   -> '0.102'

dqsub204 subtract '0'     '-.4'      -> '0.4'

dqsub205 subtract '0'     '-.307'    -> '0.307'

dqsub206 subtract '0'     '-.43822'  -> '0.43822'

dqsub207 subtract '0'     '-.911'    -> '0.911'

dqsub208 subtract '.0'    '-.02'     -> '0.02'

dqsub209 subtract '00'    '-.392'    -> '0.392'

dqsub210 subtract '0'     '-.26'     -> '0.26'

dqsub211 subtract '0'     '-0.51'    -> '0.51'

dqsub212 subtract '0'     '-.2234'   -> '0.2234'

dqsub213 subtract '0'     '-.2'      -> '0.2'

dqsub214 subtract '.0'    '-.0008'   -> '0.0008'



-- more fixed, LHS swaps [really the same as testcases under add]

dqsub220 subtract '-56267E-12' 0  -> '-5.6267E-8'

dqsub221 subtract '-56267E-11' 0  -> '-5.6267E-7'

dqsub222 subtract '-56267E-10' 0  -> '-0.0000056267'

dqsub223 subtract '-56267E-9'  0  -> '-0.000056267'

dqsub224 subtract '-56267E-8'  0  -> '-0.00056267'

dqsub225 subtract '-56267E-7'  0  -> '-0.0056267'

dqsub226 subtract '-56267E-6'  0  -> '-0.056267'

dqsub227 subtract '-56267E-5'  0  -> '-0.56267'

dqsub228 subtract '-56267E-2'  0  -> '-562.67'

dqsub229 subtract '-56267E-1'  0  -> '-5626.7'

dqsub230 subtract '-56267E-0'  0  -> '-56267'

-- symmetry ...

dqsub240 subtract 0 '-56267E-12'  -> '5.6267E-8'

dqsub241 subtract 0 '-56267E-11'  -> '5.6267E-7'

dqsub242 subtract 0 '-56267E-10'  -> '0.0000056267'

dqsub243 subtract 0 '-56267E-9'   -> '0.000056267'

dqsub244 subtract 0 '-56267E-8'   -> '0.00056267'

dqsub245 subtract 0 '-56267E-7'   -> '0.0056267'

dqsub246 subtract 0 '-56267E-6'   -> '0.056267'

dqsub247 subtract 0 '-56267E-5'   -> '0.56267'

dqsub248 subtract 0 '-56267E-2'   -> '562.67'

dqsub249 subtract 0 '-56267E-1'   -> '5626.7'

dqsub250 subtract 0 '-56267E-0'   -> '56267'



-- now some more from the 'new' add

dqsub301 subtract '1.23456789'  '1.00000000' -> '0.23456789'

dqsub302 subtract '1.23456789'  '1.00000011' -> '0.23456778'



-- some carrying effects

dqsub321 subtract '0.9998'  '0.0000' -> '0.9998'

dqsub322 subtract '0.9998'  '0.0001' -> '0.9997'

dqsub323 subtract '0.9998'  '0.0002' -> '0.9996'

dqsub324 subtract '0.9998'  '0.0003' -> '0.9995'

dqsub325 subtract '0.9998'  '-0.0000' -> '0.9998'

dqsub326 subtract '0.9998'  '-0.0001' -> '0.9999'

dqsub327 subtract '0.9998'  '-0.0002' -> '1.0000'

dqsub328 subtract '0.9998'  '-0.0003' -> '1.0001'



-- internal boundaries

dqsub346 subtract '10000e+9'  '7'   -> '9999999999993'

dqsub347 subtract '10000e+9'  '70'   -> '9999999999930'

dqsub348 subtract '10000e+9'  '700'   -> '9999999999300'

dqsub349 subtract '10000e+9'  '7000'   -> '9999999993000'

dqsub350 subtract '10000e+9'  '70000'   -> '9999999930000'

dqsub351 subtract '10000e+9'  '700000'   -> '9999999300000'

dqsub352 subtract '7' '10000e+9'   -> '-9999999999993'

dqsub353 subtract '70' '10000e+9'   -> '-9999999999930'

dqsub354 subtract '700' '10000e+9'   -> '-9999999999300'

dqsub355 subtract '7000' '10000e+9'   -> '-9999999993000'

dqsub356 subtract '70000' '10000e+9'   -> '-9999999930000'

dqsub357 subtract '700000' '10000e+9'   -> '-9999999300000'



-- zero preservation

dqsub361 subtract 1 '0.0001' -> '0.9999'

dqsub362 subtract 1 '0.00001' -> '0.99999'

dqsub363 subtract 1 '0.000001' -> '0.999999'

dqsub364 subtract 1 '0.0000000000000000000000000000000001' -> '0.9999999999999999999999999999999999'

dqsub365 subtract 1 '0.00000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded

dqsub366 subtract 1 '0.000000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded



-- some funny zeros [in case of bad signum]

dqsub370 subtract 1  0  -> 1

dqsub371 subtract 1 0.  -> 1

dqsub372 subtract 1  .0 -> 1.0

dqsub373 subtract 1 0.0 -> 1.0

dqsub374 subtract  0  1 -> -1

dqsub375 subtract 0.  1 -> -1

dqsub376 subtract  .0 1 -> -1.0

dqsub377 subtract 0.0 1 -> -1.0



-- leading 0 digit before round

dqsub910 subtract -103519362 -51897955.3 -> -51621406.7

dqsub911 subtract 159579.444 89827.5229 -> 69751.9211



dqsub920 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234566 -> 299.9999999999999999999999999999999 Inexact Rounded

dqsub921 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234565 -> 300.0000000000000000000000000000000 Inexact Rounded

dqsub922 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234565 ->  99.99999999999999999999999999999995

dqsub923 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234564 ->  99.99999999999999999999999999999996

dqsub924 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234540 -> 100.0000000000000000000000000000002 Rounded

dqsub925 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234560 ->  90.00000000000000000000000000000000

dqsub926 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234561 ->  89.99999999999999999999999999999999

dqsub927 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234566 ->  89.99999999999999999999999999999994

dqsub928 subtract 101.0000000000000000000000000123456 91.00000000000000000000000001234566 ->   9.99999999999999999999999999999994

dqsub929 subtract 101.0000000000000000000000000123456 99.00000000000000000000000001234566 ->   1.99999999999999999999999999999994



-- more LHS swaps [were fixed]

dqsub390 subtract '-56267E-10'   0 ->  '-0.0000056267'

dqsub391 subtract '-56267E-6'    0 ->  '-0.056267'

dqsub392 subtract '-56267E-5'    0 ->  '-0.56267'

dqsub393 subtract '-56267E-4'    0 ->  '-5.6267'

dqsub394 subtract '-56267E-3'    0 ->  '-56.267'

dqsub395 subtract '-56267E-2'    0 ->  '-562.67'

dqsub396 subtract '-56267E-1'    0 ->  '-5626.7'

dqsub397 subtract '-56267E-0'    0 ->  '-56267'

dqsub398 subtract '-5E-10'       0 ->  '-5E-10'

dqsub399 subtract '-5E-7'        0 ->  '-5E-7'

dqsub400 subtract '-5E-6'        0 ->  '-0.000005'

dqsub401 subtract '-5E-5'        0 ->  '-0.00005'

dqsub402 subtract '-5E-4'        0 ->  '-0.0005'

dqsub403 subtract '-5E-1'        0 ->  '-0.5'

dqsub404 subtract '-5E0'         0 ->  '-5'

dqsub405 subtract '-5E1'         0 ->  '-50'

dqsub406 subtract '-5E5'         0 ->  '-500000'

dqsub407 subtract '-5E33'        0 ->  '-5000000000000000000000000000000000'

dqsub408 subtract '-5E34'        0 ->  '-5.000000000000000000000000000000000E+34'  Rounded

dqsub409 subtract '-5E35'        0 ->  '-5.000000000000000000000000000000000E+35'  Rounded

dqsub410 subtract '-5E36'        0 ->  '-5.000000000000000000000000000000000E+36'  Rounded

dqsub411 subtract '-5E100'       0 ->  '-5.000000000000000000000000000000000E+100' Rounded



-- more RHS swaps [were fixed]

dqsub420 subtract 0  '-56267E-10' ->  '0.0000056267'

dqsub421 subtract 0  '-56267E-6'  ->  '0.056267'

dqsub422 subtract 0  '-56267E-5'  ->  '0.56267'

dqsub423 subtract 0  '-56267E-4'  ->  '5.6267'

dqsub424 subtract 0  '-56267E-3'  ->  '56.267'

dqsub425 subtract 0  '-56267E-2'  ->  '562.67'

dqsub426 subtract 0  '-56267E-1'  ->  '5626.7'

dqsub427 subtract 0  '-56267E-0'  ->  '56267'

dqsub428 subtract 0  '-5E-10'     ->  '5E-10'

dqsub429 subtract 0  '-5E-7'      ->  '5E-7'

dqsub430 subtract 0  '-5E-6'      ->  '0.000005'

dqsub431 subtract 0  '-5E-5'      ->  '0.00005'

dqsub432 subtract 0  '-5E-4'      ->  '0.0005'

dqsub433 subtract 0  '-5E-1'      ->  '0.5'

dqsub434 subtract 0  '-5E0'       ->  '5'

dqsub435 subtract 0  '-5E1'       ->  '50'

dqsub436 subtract 0  '-5E5'       ->  '500000'

dqsub437 subtract 0  '-5E33'      ->  '5000000000000000000000000000000000'

dqsub438 subtract 0  '-5E34'      ->  '5.000000000000000000000000000000000E+34'   Rounded

dqsub439 subtract 0  '-5E35'      ->  '5.000000000000000000000000000000000E+35'   Rounded

dqsub440 subtract 0  '-5E36'      ->  '5.000000000000000000000000000000000E+36'   Rounded

dqsub441 subtract 0  '-5E100'     ->  '5.000000000000000000000000000000000E+100'  Rounded





-- try borderline precision, with carries, etc.

dqsub461 subtract '1E+16' '1'        -> '9999999999999999'

dqsub462 subtract '1E+12' '-1.111'   -> '1000000000001.111'

dqsub463 subtract '1.111'  '-1E+12'  -> '1000000000001.111'

dqsub464 subtract '-1'    '-1E+16'   -> '9999999999999999'

dqsub465 subtract '7E+15' '1'        -> '6999999999999999'

dqsub466 subtract '7E+12' '-1.111'   -> '7000000000001.111'

dqsub467 subtract '1.111'  '-7E+12'  -> '7000000000001.111'

dqsub468 subtract '-1'    '-7E+15'   -> '6999999999999999'



--                   1234567890123456       1234567890123456      1 23456789012345

dqsub470 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555563' -> '1.000000000000000000000000000000001' Inexact Rounded

dqsub471 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555562' -> '1.000000000000000000000000000000001' Inexact Rounded

dqsub472 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555561' -> '1.000000000000000000000000000000000' Inexact Rounded

dqsub473 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555560' -> '1.000000000000000000000000000000000' Inexact Rounded

dqsub474 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555559' -> '1.000000000000000000000000000000000' Inexact Rounded

dqsub475 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555558' -> '1.000000000000000000000000000000000' Inexact Rounded

dqsub476 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555557' -> '1.000000000000000000000000000000000' Inexact Rounded

dqsub477 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555556' -> '1.000000000000000000000000000000000' Rounded

dqsub478 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999'

dqsub479 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555554' -> '0.9999999999999999999999999999999998'

dqsub480 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555553' -> '0.9999999999999999999999999999999997'

dqsub481 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555552' -> '0.9999999999999999999999999999999996'

dqsub482 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555551' -> '0.9999999999999999999999999999999995'

dqsub483 subtract '0.4444444444444444444444444444444444'  '-0.5555555555555555555555555555555550' -> '0.9999999999999999999999999999999994'



-- and some more, including residue effects and different roundings

rounding: half_up

dqsub500 subtract '1231234555555555555555555567456789' 0             -> '1231234555555555555555555567456789'

dqsub501 subtract '1231234555555555555555555567456789' 0.000000001   -> '1231234555555555555555555567456789' Inexact Rounded

dqsub502 subtract '1231234555555555555555555567456789' 0.000001      -> '1231234555555555555555555567456789' Inexact Rounded

dqsub503 subtract '1231234555555555555555555567456789' 0.1           -> '1231234555555555555555555567456789' Inexact Rounded

dqsub504 subtract '1231234555555555555555555567456789' 0.4           -> '1231234555555555555555555567456789' Inexact Rounded

dqsub505 subtract '1231234555555555555555555567456789' 0.49          -> '1231234555555555555555555567456789' Inexact Rounded

dqsub506 subtract '1231234555555555555555555567456789' 0.499999      -> '1231234555555555555555555567456789' Inexact Rounded

dqsub507 subtract '1231234555555555555555555567456789' 0.499999999   -> '1231234555555555555555555567456789' Inexact Rounded

dqsub508 subtract '1231234555555555555555555567456789' 0.5           -> '1231234555555555555555555567456789' Inexact Rounded

dqsub509 subtract '1231234555555555555555555567456789' 0.500000001   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub510 subtract '1231234555555555555555555567456789' 0.500001      -> '1231234555555555555555555567456788' Inexact Rounded

dqsub511 subtract '1231234555555555555555555567456789' 0.51          -> '1231234555555555555555555567456788' Inexact Rounded

dqsub512 subtract '1231234555555555555555555567456789' 0.6           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub513 subtract '1231234555555555555555555567456789' 0.9           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub514 subtract '1231234555555555555555555567456789' 0.99999       -> '1231234555555555555555555567456788' Inexact Rounded

dqsub515 subtract '1231234555555555555555555567456789' 0.999999999   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub516 subtract '1231234555555555555555555567456789' 1             -> '1231234555555555555555555567456788'

dqsub517 subtract '1231234555555555555555555567456789' 1.000000001   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub518 subtract '1231234555555555555555555567456789' 1.00001       -> '1231234555555555555555555567456788' Inexact Rounded

dqsub519 subtract '1231234555555555555555555567456789' 1.1           -> '1231234555555555555555555567456788' Inexact Rounded



rounding: half_even

dqsub520 subtract '1231234555555555555555555567456789' 0             -> '1231234555555555555555555567456789'

dqsub521 subtract '1231234555555555555555555567456789' 0.000000001   -> '1231234555555555555555555567456789' Inexact Rounded

dqsub522 subtract '1231234555555555555555555567456789' 0.000001      -> '1231234555555555555555555567456789' Inexact Rounded

dqsub523 subtract '1231234555555555555555555567456789' 0.1           -> '1231234555555555555555555567456789' Inexact Rounded

dqsub524 subtract '1231234555555555555555555567456789' 0.4           -> '1231234555555555555555555567456789' Inexact Rounded

dqsub525 subtract '1231234555555555555555555567456789' 0.49          -> '1231234555555555555555555567456789' Inexact Rounded

dqsub526 subtract '1231234555555555555555555567456789' 0.499999      -> '1231234555555555555555555567456789' Inexact Rounded

dqsub527 subtract '1231234555555555555555555567456789' 0.499999999   -> '1231234555555555555555555567456789' Inexact Rounded

dqsub528 subtract '1231234555555555555555555567456789' 0.5           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub529 subtract '1231234555555555555555555567456789' 0.500000001   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub530 subtract '1231234555555555555555555567456789' 0.500001      -> '1231234555555555555555555567456788' Inexact Rounded

dqsub531 subtract '1231234555555555555555555567456789' 0.51          -> '1231234555555555555555555567456788' Inexact Rounded

dqsub532 subtract '1231234555555555555555555567456789' 0.6           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub533 subtract '1231234555555555555555555567456789' 0.9           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub534 subtract '1231234555555555555555555567456789' 0.99999       -> '1231234555555555555555555567456788' Inexact Rounded

dqsub535 subtract '1231234555555555555555555567456789' 0.999999999   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub536 subtract '1231234555555555555555555567456789' 1             -> '1231234555555555555555555567456788'

dqsub537 subtract '1231234555555555555555555567456789' 1.00000001    -> '1231234555555555555555555567456788' Inexact Rounded

dqsub538 subtract '1231234555555555555555555567456789' 1.00001       -> '1231234555555555555555555567456788' Inexact Rounded

dqsub539 subtract '1231234555555555555555555567456789' 1.1           -> '1231234555555555555555555567456788' Inexact Rounded

-- critical few with even bottom digit...

dqsub540 subtract '1231234555555555555555555567456788' 0.499999999   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub541 subtract '1231234555555555555555555567456788' 0.5           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub542 subtract '1231234555555555555555555567456788' 0.500000001   -> '1231234555555555555555555567456787' Inexact Rounded



rounding: down

dqsub550 subtract '1231234555555555555555555567456789' 0             -> '1231234555555555555555555567456789'

dqsub551 subtract '1231234555555555555555555567456789' 0.000000001   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub552 subtract '1231234555555555555555555567456789' 0.000001      -> '1231234555555555555555555567456788' Inexact Rounded

dqsub553 subtract '1231234555555555555555555567456789' 0.1           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub554 subtract '1231234555555555555555555567456789' 0.4           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub555 subtract '1231234555555555555555555567456789' 0.49          -> '1231234555555555555555555567456788' Inexact Rounded

dqsub556 subtract '1231234555555555555555555567456789' 0.499999      -> '1231234555555555555555555567456788' Inexact Rounded

dqsub557 subtract '1231234555555555555555555567456789' 0.499999999   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub558 subtract '1231234555555555555555555567456789' 0.5           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub559 subtract '1231234555555555555555555567456789' 0.500000001   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub560 subtract '1231234555555555555555555567456789' 0.500001      -> '1231234555555555555555555567456788' Inexact Rounded

dqsub561 subtract '1231234555555555555555555567456789' 0.51          -> '1231234555555555555555555567456788' Inexact Rounded

dqsub562 subtract '1231234555555555555555555567456789' 0.6           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub563 subtract '1231234555555555555555555567456789' 0.9           -> '1231234555555555555555555567456788' Inexact Rounded

dqsub564 subtract '1231234555555555555555555567456789' 0.99999       -> '1231234555555555555555555567456788' Inexact Rounded

dqsub565 subtract '1231234555555555555555555567456789' 0.999999999   -> '1231234555555555555555555567456788' Inexact Rounded

dqsub566 subtract '1231234555555555555555555567456789' 1             -> '1231234555555555555555555567456788'

dqsub567 subtract '1231234555555555555555555567456789' 1.00000001    -> '1231234555555555555555555567456787' Inexact Rounded

dqsub568 subtract '1231234555555555555555555567456789' 1.00001       -> '1231234555555555555555555567456787' Inexact Rounded

dqsub569 subtract '1231234555555555555555555567456789' 1.1           -> '1231234555555555555555555567456787' Inexact Rounded



-- symmetry...

rounding: half_up

dqsub600 subtract 0             '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'

dqsub601 subtract 0.000000001   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub602 subtract 0.000001      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub603 subtract 0.1           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub604 subtract 0.4           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub605 subtract 0.49          '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub606 subtract 0.499999      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub607 subtract 0.499999999   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub608 subtract 0.5           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub609 subtract 0.500000001   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub610 subtract 0.500001      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub611 subtract 0.51          '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub612 subtract 0.6           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub613 subtract 0.9           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub614 subtract 0.99999       '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub615 subtract 0.999999999   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub616 subtract 1             '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'

dqsub617 subtract 1.000000001   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub618 subtract 1.00001       '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub619 subtract 1.1           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded



rounding: half_even

dqsub620 subtract 0             '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'

dqsub621 subtract 0.000000001   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub622 subtract 0.000001      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub623 subtract 0.1           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub624 subtract 0.4           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub625 subtract 0.49          '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub626 subtract 0.499999      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub627 subtract 0.499999999   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded

dqsub628 subtract 0.5           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub629 subtract 0.500000001   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub630 subtract 0.500001      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub631 subtract 0.51          '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub632 subtract 0.6           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub633 subtract 0.9           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub634 subtract 0.99999       '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub635 subtract 0.999999999   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub636 subtract 1             '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'

dqsub637 subtract 1.00000001    '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub638 subtract 1.00001       '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub639 subtract 1.1           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

-- critical few with even bottom digit...

dqsub640 subtract 0.499999999   '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub641 subtract 0.5           '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub642 subtract 0.500000001   '1231234555555555555555555567456788' -> '-1231234555555555555555555567456787' Inexact Rounded



rounding: down

dqsub650 subtract 0             '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'

dqsub651 subtract 0.000000001   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub652 subtract 0.000001      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub653 subtract 0.1           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub654 subtract 0.4           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub655 subtract 0.49          '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub656 subtract 0.499999      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub657 subtract 0.499999999   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub658 subtract 0.5           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub659 subtract 0.500000001   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub660 subtract 0.500001      '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub661 subtract 0.51          '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub662 subtract 0.6           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub663 subtract 0.9           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub664 subtract 0.99999       '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub665 subtract 0.999999999   '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded

dqsub666 subtract 1             '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'

dqsub667 subtract 1.00000001    '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded

dqsub668 subtract 1.00001       '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded

dqsub669 subtract 1.1           '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded





-- lots of leading zeros in intermediate result, and showing effects of

-- input rounding would have affected the following

rounding: half_up

dqsub670 subtract '1234567456789' '1234567456788.1' -> 0.9

dqsub671 subtract '1234567456789' '1234567456788.9' -> 0.1

dqsub672 subtract '1234567456789' '1234567456789.1' -> -0.1

dqsub673 subtract '1234567456789' '1234567456789.5' -> -0.5

dqsub674 subtract '1234567456789' '1234567456789.9' -> -0.9



rounding: half_even

dqsub680 subtract '1234567456789' '1234567456788.1' -> 0.9

dqsub681 subtract '1234567456789' '1234567456788.9' -> 0.1

dqsub682 subtract '1234567456789' '1234567456789.1' -> -0.1

dqsub683 subtract '1234567456789' '1234567456789.5' -> -0.5

dqsub684 subtract '1234567456789' '1234567456789.9' -> -0.9



dqsub685 subtract '1234567456788' '1234567456787.1' -> 0.9

dqsub686 subtract '1234567456788' '1234567456787.9' -> 0.1

dqsub687 subtract '1234567456788' '1234567456788.1' -> -0.1

dqsub688 subtract '1234567456788' '1234567456788.5' -> -0.5

dqsub689 subtract '1234567456788' '1234567456788.9' -> -0.9



rounding: down

dqsub690 subtract '1234567456789' '1234567456788.1' -> 0.9

dqsub691 subtract '1234567456789' '1234567456788.9' -> 0.1

dqsub692 subtract '1234567456789' '1234567456789.1' -> -0.1

dqsub693 subtract '1234567456789' '1234567456789.5' -> -0.5

dqsub694 subtract '1234567456789' '1234567456789.9' -> -0.9



-- Specials

dqsub780 subtract -Inf   Inf   -> -Infinity

dqsub781 subtract -Inf   1000  -> -Infinity

dqsub782 subtract -Inf   1     -> -Infinity

dqsub783 subtract -Inf  -0     -> -Infinity

dqsub784 subtract -Inf  -1     -> -Infinity

dqsub785 subtract -Inf  -1000  -> -Infinity

dqsub787 subtract -1000  Inf   -> -Infinity

dqsub788 subtract -Inf   Inf   -> -Infinity

dqsub789 subtract -1     Inf   -> -Infinity

dqsub790 subtract  0     Inf   -> -Infinity

dqsub791 subtract  1     Inf   -> -Infinity

dqsub792 subtract  1000  Inf   -> -Infinity



dqsub800 subtract  Inf   Inf   ->  NaN  Invalid_operation

dqsub801 subtract  Inf   1000  ->  Infinity

dqsub802 subtract  Inf   1     ->  Infinity

dqsub803 subtract  Inf   0     ->  Infinity

dqsub804 subtract  Inf  -0     ->  Infinity

dqsub805 subtract  Inf  -1     ->  Infinity

dqsub806 subtract  Inf  -1000  ->  Infinity

dqsub807 subtract  Inf  -Inf   ->  Infinity

dqsub808 subtract -1000 -Inf   ->  Infinity

dqsub809 subtract -Inf  -Inf   ->  NaN  Invalid_operation

dqsub810 subtract -1    -Inf   ->  Infinity

dqsub811 subtract -0    -Inf   ->  Infinity

dqsub812 subtract  0    -Inf   ->  Infinity

dqsub813 subtract  1    -Inf   ->  Infinity

dqsub814 subtract  1000 -Inf   ->  Infinity

dqsub815 subtract  Inf  -Inf   ->  Infinity



dqsub821 subtract  NaN   Inf   ->  NaN

dqsub822 subtract -NaN   1000  -> -NaN

dqsub823 subtract  NaN   1     ->  NaN

dqsub824 subtract  NaN   0     ->  NaN

dqsub825 subtract  NaN  -0     ->  NaN

dqsub826 subtract  NaN  -1     ->  NaN

dqsub827 subtract  NaN  -1000  ->  NaN

dqsub828 subtract  NaN  -Inf   ->  NaN

dqsub829 subtract -NaN   NaN   -> -NaN

dqsub830 subtract -Inf   NaN   ->  NaN

dqsub831 subtract -1000  NaN   ->  NaN

dqsub832 subtract -1     NaN   ->  NaN

dqsub833 subtract -0     NaN   ->  NaN

dqsub834 subtract  0     NaN   ->  NaN

dqsub835 subtract  1     NaN   ->  NaN

dqsub836 subtract  1000 -NaN   -> -NaN

dqsub837 subtract  Inf   NaN   ->  NaN



dqsub841 subtract  sNaN  Inf   ->  NaN  Invalid_operation

dqsub842 subtract -sNaN  1000  -> -NaN  Invalid_operation

dqsub843 subtract  sNaN  1     ->  NaN  Invalid_operation

dqsub844 subtract  sNaN  0     ->  NaN  Invalid_operation

dqsub845 subtract  sNaN -0     ->  NaN  Invalid_operation

dqsub846 subtract  sNaN -1     ->  NaN  Invalid_operation

dqsub847 subtract  sNaN -1000  ->  NaN  Invalid_operation

dqsub848 subtract  sNaN  NaN   ->  NaN  Invalid_operation

dqsub849 subtract  sNaN sNaN   ->  NaN  Invalid_operation

dqsub850 subtract  NaN  sNaN   ->  NaN  Invalid_operation

dqsub851 subtract -Inf -sNaN   -> -NaN  Invalid_operation

dqsub852 subtract -1000 sNaN   ->  NaN  Invalid_operation

dqsub853 subtract -1    sNaN   ->  NaN  Invalid_operation

dqsub854 subtract -0    sNaN   ->  NaN  Invalid_operation

dqsub855 subtract  0    sNaN   ->  NaN  Invalid_operation

dqsub856 subtract  1    sNaN   ->  NaN  Invalid_operation

dqsub857 subtract  1000 sNaN   ->  NaN  Invalid_operation

dqsub858 subtract  Inf  sNaN   ->  NaN  Invalid_operation

dqsub859 subtract  NaN  sNaN   ->  NaN  Invalid_operation



-- propagating NaNs

dqsub861 subtract  NaN01   -Inf     ->  NaN1

dqsub862 subtract -NaN02   -1000    -> -NaN2

dqsub863 subtract  NaN03    1000    ->  NaN3

dqsub864 subtract  NaN04    Inf     ->  NaN4

dqsub865 subtract  NaN05    NaN61   ->  NaN5

dqsub866 subtract -Inf     -NaN71   -> -NaN71

dqsub867 subtract -1000     NaN81   ->  NaN81

dqsub868 subtract  1000     NaN91   ->  NaN91

dqsub869 subtract  Inf      NaN101  ->  NaN101

dqsub871 subtract  sNaN011  -Inf    ->  NaN11  Invalid_operation

dqsub872 subtract  sNaN012  -1000   ->  NaN12  Invalid_operation

dqsub873 subtract -sNaN013   1000   -> -NaN13  Invalid_operation

dqsub874 subtract  sNaN014   NaN171 ->  NaN14  Invalid_operation

dqsub875 subtract  sNaN015  sNaN181 ->  NaN15  Invalid_operation

dqsub876 subtract  NaN016   sNaN191 ->  NaN191 Invalid_operation

dqsub877 subtract -Inf      sNaN201 ->  NaN201 Invalid_operation

dqsub878 subtract -1000     sNaN211 ->  NaN211 Invalid_operation

dqsub879 subtract  1000    -sNaN221 -> -NaN221 Invalid_operation

dqsub880 subtract  Inf      sNaN231 ->  NaN231 Invalid_operation

dqsub881 subtract  NaN025   sNaN241 ->  NaN241 Invalid_operation



-- edge case spills

dqsub901 subtract  2.E-3  1.002  -> -1.000

dqsub902 subtract  2.0E-3  1.002  -> -1.0000

dqsub903 subtract  2.00E-3  1.0020  -> -1.00000

dqsub904 subtract  2.000E-3  1.00200  -> -1.000000

dqsub905 subtract  2.0000E-3  1.002000  -> -1.0000000

dqsub906 subtract  2.00000E-3  1.0020000  -> -1.00000000

dqsub907 subtract  2.000000E-3  1.00200000  -> -1.000000000

dqsub908 subtract  2.0000000E-3  1.002000000  -> -1.0000000000



-- subnormals and overflows covered under Add



-- Examples from SQL proposal (Krishna Kulkarni)

dqsub1125  subtract 130E-2  120E-2 -> 0.10

dqsub1126  subtract 130E-2  12E-1  -> 0.10

dqsub1127  subtract 130E-2  1E0    -> 0.30

dqsub1128  subtract 1E2     1E4    -> -9.9E+3



-- Null tests

dqsub9990 subtract 10  # -> NaN Invalid_operation

dqsub9991 subtract  # 10 -> NaN Invalid_operation

