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cpython/Lib/test/decimaltestdata/ddSubtract.decTest

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Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
------------------------------------------------------------------------
-- ddSubtract.decTest -- decDouble subtraction --
Issue #3449: Update decimal module to use most recent specification (v. 1.68) and tests (v. 2.58) from IBM.
2008-07-27 03:39:07 -03:00
-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
------------------------------------------------------------------------
-- 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 --
------------------------------------------------------------------------
Update decimal test data to the most recent set from Mike Cowlishaw.
2009-10-08 13:28:39 -03:00
version: 2.59
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
-- This set of tests are for decDoubles only; all arguments are
-- representable in a decDouble
precision: 16
maxExponent: 384
minExponent: -383
extended: 1
clamp: 1
rounding: half_even
-- [first group are 'quick confidence check']
ddsub001 subtract 0 0 -> '0'
ddsub002 subtract 1 1 -> '0'
ddsub003 subtract 1 2 -> '-1'
ddsub004 subtract 2 1 -> '1'
ddsub005 subtract 2 2 -> '0'
ddsub006 subtract 3 2 -> '1'
ddsub007 subtract 2 3 -> '-1'
ddsub011 subtract -0 0 -> '-0'
ddsub012 subtract -1 1 -> '-2'
ddsub013 subtract -1 2 -> '-3'
ddsub014 subtract -2 1 -> '-3'
ddsub015 subtract -2 2 -> '-4'
ddsub016 subtract -3 2 -> '-5'
ddsub017 subtract -2 3 -> '-5'
ddsub021 subtract 0 -0 -> '0'
ddsub022 subtract 1 -1 -> '2'
ddsub023 subtract 1 -2 -> '3'
ddsub024 subtract 2 -1 -> '3'
ddsub025 subtract 2 -2 -> '4'
ddsub026 subtract 3 -2 -> '5'
ddsub027 subtract 2 -3 -> '5'
ddsub030 subtract 11 1 -> 10
ddsub031 subtract 10 1 -> 9
ddsub032 subtract 9 1 -> 8
ddsub033 subtract 1 1 -> 0
ddsub034 subtract 0 1 -> -1
ddsub035 subtract -1 1 -> -2
ddsub036 subtract -9 1 -> -10
ddsub037 subtract -10 1 -> -11
ddsub038 subtract -11 1 -> -12
ddsub040 subtract '5.75' '3.3' -> '2.45'
ddsub041 subtract '5' '-3' -> '8'
ddsub042 subtract '-5' '-3' -> '-2'
ddsub043 subtract '-7' '2.5' -> '-9.5'
ddsub044 subtract '0.7' '0.3' -> '0.4'
ddsub045 subtract '1.3' '0.3' -> '1.0'
ddsub046 subtract '1.25' '1.25' -> '0.00'
ddsub050 subtract '1.23456789' '1.00000000' -> '0.23456789'
ddsub051 subtract '1.23456789' '1.00000089' -> '0.23456700'
ddsub060 subtract '70' '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
ddsub061 subtract '700' '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
ddsub062 subtract '7000' '10000e+16' -> '-9.999999999999999E+19' Inexact Rounded
ddsub063 subtract '70000' '10000e+16' -> '-9.999999999999993E+19' Rounded
ddsub064 subtract '700000' '10000e+16' -> '-9.999999999999930E+19' Rounded
-- symmetry:
ddsub065 subtract '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
ddsub066 subtract '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
ddsub067 subtract '10000e+16' '7000' -> '9.999999999999999E+19' Inexact Rounded
ddsub068 subtract '10000e+16' '70000' -> '9.999999999999993E+19' Rounded
ddsub069 subtract '10000e+16' '700000' -> '9.999999999999930E+19' Rounded
-- some of the next group are really constructor tests
ddsub090 subtract '00.0' '0.0' -> '0.0'
ddsub091 subtract '00.0' '0.00' -> '0.00'
ddsub092 subtract '0.00' '00.0' -> '0.00'
ddsub093 subtract '00.0' '0.00' -> '0.00'
ddsub094 subtract '0.00' '00.0' -> '0.00'
ddsub095 subtract '3' '.3' -> '2.7'
ddsub096 subtract '3.' '.3' -> '2.7'
ddsub097 subtract '3.0' '.3' -> '2.7'
ddsub098 subtract '3.00' '.3' -> '2.70'
ddsub099 subtract '3' '3' -> '0'
ddsub100 subtract '3' '+3' -> '0'
ddsub101 subtract '3' '-3' -> '6'
ddsub102 subtract '3' '0.3' -> '2.7'
ddsub103 subtract '3.' '0.3' -> '2.7'
ddsub104 subtract '3.0' '0.3' -> '2.7'
ddsub105 subtract '3.00' '0.3' -> '2.70'
ddsub106 subtract '3' '3.0' -> '0.0'
ddsub107 subtract '3' '+3.0' -> '0.0'
ddsub108 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.
ddsub120 subtract '10.23456784' '10.23456789' -> '-5E-8'
ddsub121 subtract '10.23456785' '10.23456789' -> '-4E-8'
ddsub122 subtract '10.23456786' '10.23456789' -> '-3E-8'
ddsub123 subtract '10.23456787' '10.23456789' -> '-2E-8'
ddsub124 subtract '10.23456788' '10.23456789' -> '-1E-8'
ddsub125 subtract '10.23456789' '10.23456789' -> '0E-8'
ddsub126 subtract '10.23456790' '10.23456789' -> '1E-8'
ddsub127 subtract '10.23456791' '10.23456789' -> '2E-8'
ddsub128 subtract '10.23456792' '10.23456789' -> '3E-8'
ddsub129 subtract '10.23456793' '10.23456789' -> '4E-8'
ddsub130 subtract '10.23456794' '10.23456789' -> '5E-8'
ddsub131 subtract '10.23456781' '10.23456786' -> '-5E-8'
ddsub132 subtract '10.23456782' '10.23456786' -> '-4E-8'
ddsub133 subtract '10.23456783' '10.23456786' -> '-3E-8'
ddsub134 subtract '10.23456784' '10.23456786' -> '-2E-8'
ddsub135 subtract '10.23456785' '10.23456786' -> '-1E-8'
ddsub136 subtract '10.23456786' '10.23456786' -> '0E-8'
ddsub137 subtract '10.23456787' '10.23456786' -> '1E-8'
ddsub138 subtract '10.23456788' '10.23456786' -> '2E-8'
ddsub139 subtract '10.23456789' '10.23456786' -> '3E-8'
ddsub140 subtract '10.23456790' '10.23456786' -> '4E-8'
ddsub141 subtract '10.23456791' '10.23456786' -> '5E-8'
ddsub142 subtract '1' '0.999999999' -> '1E-9'
ddsub143 subtract '0.999999999' '1' -> '-1E-9'
ddsub144 subtract '-10.23456780' '-10.23456786' -> '6E-8'
ddsub145 subtract '-10.23456790' '-10.23456786' -> '-4E-8'
ddsub146 subtract '-10.23456791' '-10.23456786' -> '-5E-8'
-- additional scaled arithmetic tests [0.97 problem]
ddsub160 subtract '0' '.1' -> '-0.1'
ddsub161 subtract '00' '.97983' -> '-0.97983'
ddsub162 subtract '0' '.9' -> '-0.9'
ddsub163 subtract '0' '0.102' -> '-0.102'
ddsub164 subtract '0' '.4' -> '-0.4'
ddsub165 subtract '0' '.307' -> '-0.307'
ddsub166 subtract '0' '.43822' -> '-0.43822'
ddsub167 subtract '0' '.911' -> '-0.911'
ddsub168 subtract '.0' '.02' -> '-0.02'
ddsub169 subtract '00' '.392' -> '-0.392'
ddsub170 subtract '0' '.26' -> '-0.26'
ddsub171 subtract '0' '0.51' -> '-0.51'
ddsub172 subtract '0' '.2234' -> '-0.2234'
ddsub173 subtract '0' '.2' -> '-0.2'
ddsub174 subtract '.0' '.0008' -> '-0.0008'
-- 0. on left
ddsub180 subtract '0.0' '-.1' -> '0.1'
ddsub181 subtract '0.00' '-.97983' -> '0.97983'
ddsub182 subtract '0.0' '-.9' -> '0.9'
ddsub183 subtract '0.0' '-0.102' -> '0.102'
ddsub184 subtract '0.0' '-.4' -> '0.4'
ddsub185 subtract '0.0' '-.307' -> '0.307'
ddsub186 subtract '0.0' '-.43822' -> '0.43822'
ddsub187 subtract '0.0' '-.911' -> '0.911'
ddsub188 subtract '0.0' '-.02' -> '0.02'
ddsub189 subtract '0.00' '-.392' -> '0.392'
ddsub190 subtract '0.0' '-.26' -> '0.26'
ddsub191 subtract '0.0' '-0.51' -> '0.51'
ddsub192 subtract '0.0' '-.2234' -> '0.2234'
ddsub193 subtract '0.0' '-.2' -> '0.2'
ddsub194 subtract '0.0' '-.0008' -> '0.0008'
-- negatives of same
ddsub200 subtract '0' '-.1' -> '0.1'
ddsub201 subtract '00' '-.97983' -> '0.97983'
ddsub202 subtract '0' '-.9' -> '0.9'
ddsub203 subtract '0' '-0.102' -> '0.102'
ddsub204 subtract '0' '-.4' -> '0.4'
ddsub205 subtract '0' '-.307' -> '0.307'
ddsub206 subtract '0' '-.43822' -> '0.43822'
ddsub207 subtract '0' '-.911' -> '0.911'
ddsub208 subtract '.0' '-.02' -> '0.02'
ddsub209 subtract '00' '-.392' -> '0.392'
ddsub210 subtract '0' '-.26' -> '0.26'
ddsub211 subtract '0' '-0.51' -> '0.51'
ddsub212 subtract '0' '-.2234' -> '0.2234'
ddsub213 subtract '0' '-.2' -> '0.2'
ddsub214 subtract '.0' '-.0008' -> '0.0008'
-- more fixed, LHS swaps [really the same as testcases under add]
ddsub220 subtract '-56267E-12' 0 -> '-5.6267E-8'
ddsub221 subtract '-56267E-11' 0 -> '-5.6267E-7'
ddsub222 subtract '-56267E-10' 0 -> '-0.0000056267'
ddsub223 subtract '-56267E-9' 0 -> '-0.000056267'
ddsub224 subtract '-56267E-8' 0 -> '-0.00056267'
ddsub225 subtract '-56267E-7' 0 -> '-0.0056267'
ddsub226 subtract '-56267E-6' 0 -> '-0.056267'
ddsub227 subtract '-56267E-5' 0 -> '-0.56267'
ddsub228 subtract '-56267E-2' 0 -> '-562.67'
ddsub229 subtract '-56267E-1' 0 -> '-5626.7'
ddsub230 subtract '-56267E-0' 0 -> '-56267'
-- symmetry ...
ddsub240 subtract 0 '-56267E-12' -> '5.6267E-8'
ddsub241 subtract 0 '-56267E-11' -> '5.6267E-7'
ddsub242 subtract 0 '-56267E-10' -> '0.0000056267'
ddsub243 subtract 0 '-56267E-9' -> '0.000056267'
ddsub244 subtract 0 '-56267E-8' -> '0.00056267'
ddsub245 subtract 0 '-56267E-7' -> '0.0056267'
ddsub246 subtract 0 '-56267E-6' -> '0.056267'
ddsub247 subtract 0 '-56267E-5' -> '0.56267'
ddsub248 subtract 0 '-56267E-2' -> '562.67'
ddsub249 subtract 0 '-56267E-1' -> '5626.7'
ddsub250 subtract 0 '-56267E-0' -> '56267'
-- now some more from the 'new' add
ddsub301 subtract '1.23456789' '1.00000000' -> '0.23456789'
ddsub302 subtract '1.23456789' '1.00000011' -> '0.23456778'
-- some carrying effects
ddsub321 subtract '0.9998' '0.0000' -> '0.9998'
ddsub322 subtract '0.9998' '0.0001' -> '0.9997'
ddsub323 subtract '0.9998' '0.0002' -> '0.9996'
ddsub324 subtract '0.9998' '0.0003' -> '0.9995'
ddsub325 subtract '0.9998' '-0.0000' -> '0.9998'
ddsub326 subtract '0.9998' '-0.0001' -> '0.9999'
ddsub327 subtract '0.9998' '-0.0002' -> '1.0000'
ddsub328 subtract '0.9998' '-0.0003' -> '1.0001'
-- internal boundaries
ddsub346 subtract '10000e+9' '7' -> '9999999999993'
ddsub347 subtract '10000e+9' '70' -> '9999999999930'
ddsub348 subtract '10000e+9' '700' -> '9999999999300'
ddsub349 subtract '10000e+9' '7000' -> '9999999993000'
ddsub350 subtract '10000e+9' '70000' -> '9999999930000'
ddsub351 subtract '10000e+9' '700000' -> '9999999300000'
ddsub352 subtract '7' '10000e+9' -> '-9999999999993'
ddsub353 subtract '70' '10000e+9' -> '-9999999999930'
ddsub354 subtract '700' '10000e+9' -> '-9999999999300'
ddsub355 subtract '7000' '10000e+9' -> '-9999999993000'
ddsub356 subtract '70000' '10000e+9' -> '-9999999930000'
ddsub357 subtract '700000' '10000e+9' -> '-9999999300000'
-- zero preservation
ddsub361 subtract 1 '0.0001' -> '0.9999'
ddsub362 subtract 1 '0.00001' -> '0.99999'
ddsub363 subtract 1 '0.000001' -> '0.999999'
ddsub364 subtract 1 '0.0000000000000001' -> '0.9999999999999999'
ddsub365 subtract 1 '0.00000000000000001' -> '1.000000000000000' Inexact Rounded
ddsub366 subtract 1 '0.000000000000000001' -> '1.000000000000000' Inexact Rounded
-- some funny zeros [in case of bad signum]
ddsub370 subtract 1 0 -> 1
ddsub371 subtract 1 0. -> 1
ddsub372 subtract 1 .0 -> 1.0
ddsub373 subtract 1 0.0 -> 1.0
ddsub374 subtract 0 1 -> -1
ddsub375 subtract 0. 1 -> -1
ddsub376 subtract .0 1 -> -1.0
ddsub377 subtract 0.0 1 -> -1.0
-- leading 0 digit before round
ddsub910 subtract -103519362 -51897955.3 -> -51621406.7
ddsub911 subtract 159579.444 89827.5229 -> 69751.9211
ddsub920 subtract 333.0000000123456 33.00000001234566 -> 299.9999999999999 Inexact Rounded
ddsub921 subtract 333.0000000123456 33.00000001234565 -> 300.0000000000000 Inexact Rounded
ddsub922 subtract 133.0000000123456 33.00000001234565 -> 99.99999999999995
ddsub923 subtract 133.0000000123456 33.00000001234564 -> 99.99999999999996
ddsub924 subtract 133.0000000123456 33.00000001234540 -> 100.0000000000002 Rounded
ddsub925 subtract 133.0000000123456 43.00000001234560 -> 90.00000000000000
ddsub926 subtract 133.0000000123456 43.00000001234561 -> 89.99999999999999
ddsub927 subtract 133.0000000123456 43.00000001234566 -> 89.99999999999994
ddsub928 subtract 101.0000000123456 91.00000001234566 -> 9.99999999999994
ddsub929 subtract 101.0000000123456 99.00000001234566 -> 1.99999999999994
-- more LHS swaps [were fixed]
ddsub390 subtract '-56267E-10' 0 -> '-0.0000056267'
ddsub391 subtract '-56267E-6' 0 -> '-0.056267'
ddsub392 subtract '-56267E-5' 0 -> '-0.56267'
ddsub393 subtract '-56267E-4' 0 -> '-5.6267'
ddsub394 subtract '-56267E-3' 0 -> '-56.267'
ddsub395 subtract '-56267E-2' 0 -> '-562.67'
ddsub396 subtract '-56267E-1' 0 -> '-5626.7'
ddsub397 subtract '-56267E-0' 0 -> '-56267'
ddsub398 subtract '-5E-10' 0 -> '-5E-10'
ddsub399 subtract '-5E-7' 0 -> '-5E-7'
ddsub400 subtract '-5E-6' 0 -> '-0.000005'
ddsub401 subtract '-5E-5' 0 -> '-0.00005'
ddsub402 subtract '-5E-4' 0 -> '-0.0005'
ddsub403 subtract '-5E-1' 0 -> '-0.5'
ddsub404 subtract '-5E0' 0 -> '-5'
ddsub405 subtract '-5E1' 0 -> '-50'
ddsub406 subtract '-5E5' 0 -> '-500000'
ddsub407 subtract '-5E15' 0 -> '-5000000000000000'
ddsub408 subtract '-5E16' 0 -> '-5.000000000000000E+16' Rounded
ddsub409 subtract '-5E17' 0 -> '-5.000000000000000E+17' Rounded
ddsub410 subtract '-5E18' 0 -> '-5.000000000000000E+18' Rounded
ddsub411 subtract '-5E100' 0 -> '-5.000000000000000E+100' Rounded
-- more RHS swaps [were fixed]
ddsub420 subtract 0 '-56267E-10' -> '0.0000056267'
ddsub421 subtract 0 '-56267E-6' -> '0.056267'
ddsub422 subtract 0 '-56267E-5' -> '0.56267'
ddsub423 subtract 0 '-56267E-4' -> '5.6267'
ddsub424 subtract 0 '-56267E-3' -> '56.267'
ddsub425 subtract 0 '-56267E-2' -> '562.67'
ddsub426 subtract 0 '-56267E-1' -> '5626.7'
ddsub427 subtract 0 '-56267E-0' -> '56267'
ddsub428 subtract 0 '-5E-10' -> '5E-10'
ddsub429 subtract 0 '-5E-7' -> '5E-7'
ddsub430 subtract 0 '-5E-6' -> '0.000005'
ddsub431 subtract 0 '-5E-5' -> '0.00005'
ddsub432 subtract 0 '-5E-4' -> '0.0005'
ddsub433 subtract 0 '-5E-1' -> '0.5'
ddsub434 subtract 0 '-5E0' -> '5'
ddsub435 subtract 0 '-5E1' -> '50'
ddsub436 subtract 0 '-5E5' -> '500000'
ddsub437 subtract 0 '-5E15' -> '5000000000000000'
ddsub438 subtract 0 '-5E16' -> '5.000000000000000E+16' Rounded
ddsub439 subtract 0 '-5E17' -> '5.000000000000000E+17' Rounded
ddsub440 subtract 0 '-5E18' -> '5.000000000000000E+18' Rounded
ddsub441 subtract 0 '-5E100' -> '5.000000000000000E+100' Rounded
-- try borderline precision, with carries, etc.
ddsub461 subtract '1E+16' '1' -> '9999999999999999'
ddsub462 subtract '1E+12' '-1.111' -> '1000000000001.111'
ddsub463 subtract '1.111' '-1E+12' -> '1000000000001.111'
ddsub464 subtract '-1' '-1E+16' -> '9999999999999999'
ddsub465 subtract '7E+15' '1' -> '6999999999999999'
ddsub466 subtract '7E+12' '-1.111' -> '7000000000001.111'
ddsub467 subtract '1.111' '-7E+12' -> '7000000000001.111'
ddsub468 subtract '-1' '-7E+15' -> '6999999999999999'
-- 1234567890123456 1234567890123456 1 23456789012345
ddsub470 subtract '0.4444444444444444' '-0.5555555555555563' -> '1.000000000000001' Inexact Rounded
ddsub471 subtract '0.4444444444444444' '-0.5555555555555562' -> '1.000000000000001' Inexact Rounded
ddsub472 subtract '0.4444444444444444' '-0.5555555555555561' -> '1.000000000000000' Inexact Rounded
ddsub473 subtract '0.4444444444444444' '-0.5555555555555560' -> '1.000000000000000' Inexact Rounded
ddsub474 subtract '0.4444444444444444' '-0.5555555555555559' -> '1.000000000000000' Inexact Rounded
ddsub475 subtract '0.4444444444444444' '-0.5555555555555558' -> '1.000000000000000' Inexact Rounded
ddsub476 subtract '0.4444444444444444' '-0.5555555555555557' -> '1.000000000000000' Inexact Rounded
ddsub477 subtract '0.4444444444444444' '-0.5555555555555556' -> '1.000000000000000' Rounded
ddsub478 subtract '0.4444444444444444' '-0.5555555555555555' -> '0.9999999999999999'
ddsub479 subtract '0.4444444444444444' '-0.5555555555555554' -> '0.9999999999999998'
ddsub480 subtract '0.4444444444444444' '-0.5555555555555553' -> '0.9999999999999997'
ddsub481 subtract '0.4444444444444444' '-0.5555555555555552' -> '0.9999999999999996'
ddsub482 subtract '0.4444444444444444' '-0.5555555555555551' -> '0.9999999999999995'
ddsub483 subtract '0.4444444444444444' '-0.5555555555555550' -> '0.9999999999999994'
-- and some more, including residue effects and different roundings
rounding: half_up
ddsub500 subtract '1231234567456789' 0 -> '1231234567456789'
ddsub501 subtract '1231234567456789' 0.000000001 -> '1231234567456789' Inexact Rounded
ddsub502 subtract '1231234567456789' 0.000001 -> '1231234567456789' Inexact Rounded
ddsub503 subtract '1231234567456789' 0.1 -> '1231234567456789' Inexact Rounded
ddsub504 subtract '1231234567456789' 0.4 -> '1231234567456789' Inexact Rounded
ddsub505 subtract '1231234567456789' 0.49 -> '1231234567456789' Inexact Rounded
ddsub506 subtract '1231234567456789' 0.499999 -> '1231234567456789' Inexact Rounded
ddsub507 subtract '1231234567456789' 0.499999999 -> '1231234567456789' Inexact Rounded
ddsub508 subtract '1231234567456789' 0.5 -> '1231234567456789' Inexact Rounded
ddsub509 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded
ddsub510 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded
ddsub511 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded
ddsub512 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded
ddsub513 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded
ddsub514 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded
ddsub515 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded
ddsub516 subtract '1231234567456789' 1 -> '1231234567456788'
ddsub517 subtract '1231234567456789' 1.000000001 -> '1231234567456788' Inexact Rounded
ddsub518 subtract '1231234567456789' 1.00001 -> '1231234567456788' Inexact Rounded
ddsub519 subtract '1231234567456789' 1.1 -> '1231234567456788' Inexact Rounded
rounding: half_even
ddsub520 subtract '1231234567456789' 0 -> '1231234567456789'
ddsub521 subtract '1231234567456789' 0.000000001 -> '1231234567456789' Inexact Rounded
ddsub522 subtract '1231234567456789' 0.000001 -> '1231234567456789' Inexact Rounded
ddsub523 subtract '1231234567456789' 0.1 -> '1231234567456789' Inexact Rounded
ddsub524 subtract '1231234567456789' 0.4 -> '1231234567456789' Inexact Rounded
ddsub525 subtract '1231234567456789' 0.49 -> '1231234567456789' Inexact Rounded
ddsub526 subtract '1231234567456789' 0.499999 -> '1231234567456789' Inexact Rounded
ddsub527 subtract '1231234567456789' 0.499999999 -> '1231234567456789' Inexact Rounded
ddsub528 subtract '1231234567456789' 0.5 -> '1231234567456788' Inexact Rounded
ddsub529 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded
ddsub530 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded
ddsub531 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded
ddsub532 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded
ddsub533 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded
ddsub534 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded
ddsub535 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded
ddsub536 subtract '1231234567456789' 1 -> '1231234567456788'
ddsub537 subtract '1231234567456789' 1.00000001 -> '1231234567456788' Inexact Rounded
ddsub538 subtract '1231234567456789' 1.00001 -> '1231234567456788' Inexact Rounded
ddsub539 subtract '1231234567456789' 1.1 -> '1231234567456788' Inexact Rounded
-- critical few with even bottom digit...
ddsub540 subtract '1231234567456788' 0.499999999 -> '1231234567456788' Inexact Rounded
ddsub541 subtract '1231234567456788' 0.5 -> '1231234567456788' Inexact Rounded
ddsub542 subtract '1231234567456788' 0.500000001 -> '1231234567456787' Inexact Rounded
rounding: down
ddsub550 subtract '1231234567456789' 0 -> '1231234567456789'
ddsub551 subtract '1231234567456789' 0.000000001 -> '1231234567456788' Inexact Rounded
ddsub552 subtract '1231234567456789' 0.000001 -> '1231234567456788' Inexact Rounded
ddsub553 subtract '1231234567456789' 0.1 -> '1231234567456788' Inexact Rounded
ddsub554 subtract '1231234567456789' 0.4 -> '1231234567456788' Inexact Rounded
ddsub555 subtract '1231234567456789' 0.49 -> '1231234567456788' Inexact Rounded
ddsub556 subtract '1231234567456789' 0.499999 -> '1231234567456788' Inexact Rounded
ddsub557 subtract '1231234567456789' 0.499999999 -> '1231234567456788' Inexact Rounded
ddsub558 subtract '1231234567456789' 0.5 -> '1231234567456788' Inexact Rounded
ddsub559 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded
ddsub560 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded
ddsub561 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded
ddsub562 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded
ddsub563 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded
ddsub564 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded
ddsub565 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded
ddsub566 subtract '1231234567456789' 1 -> '1231234567456788'
ddsub567 subtract '1231234567456789' 1.00000001 -> '1231234567456787' Inexact Rounded
ddsub568 subtract '1231234567456789' 1.00001 -> '1231234567456787' Inexact Rounded
ddsub569 subtract '1231234567456789' 1.1 -> '1231234567456787' Inexact Rounded
-- symmetry...
rounding: half_up
ddsub600 subtract 0 '1231234567456789' -> '-1231234567456789'
ddsub601 subtract 0.000000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub602 subtract 0.000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub603 subtract 0.1 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub604 subtract 0.4 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub605 subtract 0.49 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub606 subtract 0.499999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub607 subtract 0.499999999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub608 subtract 0.5 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub609 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub610 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub611 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub612 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub613 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub614 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub615 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub616 subtract 1 '1231234567456789' -> '-1231234567456788'
ddsub617 subtract 1.000000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub618 subtract 1.00001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub619 subtract 1.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded
rounding: half_even
ddsub620 subtract 0 '1231234567456789' -> '-1231234567456789'
ddsub621 subtract 0.000000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub622 subtract 0.000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub623 subtract 0.1 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub624 subtract 0.4 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub625 subtract 0.49 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub626 subtract 0.499999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub627 subtract 0.499999999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
ddsub628 subtract 0.5 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub629 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub630 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub631 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub632 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub633 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub634 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub635 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub636 subtract 1 '1231234567456789' -> '-1231234567456788'
ddsub637 subtract 1.00000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub638 subtract 1.00001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub639 subtract 1.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded
-- critical few with even bottom digit...
ddsub640 subtract 0.499999999 '1231234567456788' -> '-1231234567456788' Inexact Rounded
ddsub641 subtract 0.5 '1231234567456788' -> '-1231234567456788' Inexact Rounded
ddsub642 subtract 0.500000001 '1231234567456788' -> '-1231234567456787' Inexact Rounded
rounding: down
ddsub650 subtract 0 '1231234567456789' -> '-1231234567456789'
ddsub651 subtract 0.000000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub652 subtract 0.000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub653 subtract 0.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub654 subtract 0.4 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub655 subtract 0.49 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub656 subtract 0.499999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub657 subtract 0.499999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub658 subtract 0.5 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub659 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub660 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub661 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub662 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub663 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub664 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub665 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
ddsub666 subtract 1 '1231234567456789' -> '-1231234567456788'
ddsub667 subtract 1.00000001 '1231234567456789' -> '-1231234567456787' Inexact Rounded
ddsub668 subtract 1.00001 '1231234567456789' -> '-1231234567456787' Inexact Rounded
ddsub669 subtract 1.1 '1231234567456789' -> '-1231234567456787' Inexact Rounded
-- lots of leading zeros in intermediate result, and showing effects of
-- input rounding would have affected the following
rounding: half_up
ddsub670 subtract '1234567456789' '1234567456788.1' -> 0.9
ddsub671 subtract '1234567456789' '1234567456788.9' -> 0.1
ddsub672 subtract '1234567456789' '1234567456789.1' -> -0.1
ddsub673 subtract '1234567456789' '1234567456789.5' -> -0.5
ddsub674 subtract '1234567456789' '1234567456789.9' -> -0.9
rounding: half_even
ddsub680 subtract '1234567456789' '1234567456788.1' -> 0.9
ddsub681 subtract '1234567456789' '1234567456788.9' -> 0.1
ddsub682 subtract '1234567456789' '1234567456789.1' -> -0.1
ddsub683 subtract '1234567456789' '1234567456789.5' -> -0.5
ddsub684 subtract '1234567456789' '1234567456789.9' -> -0.9
ddsub685 subtract '1234567456788' '1234567456787.1' -> 0.9
ddsub686 subtract '1234567456788' '1234567456787.9' -> 0.1
ddsub687 subtract '1234567456788' '1234567456788.1' -> -0.1
ddsub688 subtract '1234567456788' '1234567456788.5' -> -0.5
ddsub689 subtract '1234567456788' '1234567456788.9' -> -0.9
rounding: down
ddsub690 subtract '1234567456789' '1234567456788.1' -> 0.9
ddsub691 subtract '1234567456789' '1234567456788.9' -> 0.1
ddsub692 subtract '1234567456789' '1234567456789.1' -> -0.1
ddsub693 subtract '1234567456789' '1234567456789.5' -> -0.5
ddsub694 subtract '1234567456789' '1234567456789.9' -> -0.9
-- Specials
ddsub780 subtract -Inf Inf -> -Infinity
ddsub781 subtract -Inf 1000 -> -Infinity
ddsub782 subtract -Inf 1 -> -Infinity
ddsub783 subtract -Inf -0 -> -Infinity
ddsub784 subtract -Inf -1 -> -Infinity
ddsub785 subtract -Inf -1000 -> -Infinity
ddsub787 subtract -1000 Inf -> -Infinity
ddsub788 subtract -Inf Inf -> -Infinity
ddsub789 subtract -1 Inf -> -Infinity
ddsub790 subtract 0 Inf -> -Infinity
ddsub791 subtract 1 Inf -> -Infinity
ddsub792 subtract 1000 Inf -> -Infinity
ddsub800 subtract Inf Inf -> NaN Invalid_operation
ddsub801 subtract Inf 1000 -> Infinity
ddsub802 subtract Inf 1 -> Infinity
ddsub803 subtract Inf 0 -> Infinity
ddsub804 subtract Inf -0 -> Infinity
ddsub805 subtract Inf -1 -> Infinity
ddsub806 subtract Inf -1000 -> Infinity
ddsub807 subtract Inf -Inf -> Infinity
ddsub808 subtract -1000 -Inf -> Infinity
ddsub809 subtract -Inf -Inf -> NaN Invalid_operation
ddsub810 subtract -1 -Inf -> Infinity
ddsub811 subtract -0 -Inf -> Infinity
ddsub812 subtract 0 -Inf -> Infinity
ddsub813 subtract 1 -Inf -> Infinity
ddsub814 subtract 1000 -Inf -> Infinity
ddsub815 subtract Inf -Inf -> Infinity
ddsub821 subtract NaN Inf -> NaN
ddsub822 subtract -NaN 1000 -> -NaN
ddsub823 subtract NaN 1 -> NaN
ddsub824 subtract NaN 0 -> NaN
ddsub825 subtract NaN -0 -> NaN
ddsub826 subtract NaN -1 -> NaN
ddsub827 subtract NaN -1000 -> NaN
ddsub828 subtract NaN -Inf -> NaN
ddsub829 subtract -NaN NaN -> -NaN
ddsub830 subtract -Inf NaN -> NaN
ddsub831 subtract -1000 NaN -> NaN
ddsub832 subtract -1 NaN -> NaN
ddsub833 subtract -0 NaN -> NaN
ddsub834 subtract 0 NaN -> NaN
ddsub835 subtract 1 NaN -> NaN
ddsub836 subtract 1000 -NaN -> -NaN
ddsub837 subtract Inf NaN -> NaN
ddsub841 subtract sNaN Inf -> NaN Invalid_operation
ddsub842 subtract -sNaN 1000 -> -NaN Invalid_operation
ddsub843 subtract sNaN 1 -> NaN Invalid_operation
ddsub844 subtract sNaN 0 -> NaN Invalid_operation
ddsub845 subtract sNaN -0 -> NaN Invalid_operation
ddsub846 subtract sNaN -1 -> NaN Invalid_operation
ddsub847 subtract sNaN -1000 -> NaN Invalid_operation
ddsub848 subtract sNaN NaN -> NaN Invalid_operation
ddsub849 subtract sNaN sNaN -> NaN Invalid_operation
ddsub850 subtract NaN sNaN -> NaN Invalid_operation
ddsub851 subtract -Inf -sNaN -> -NaN Invalid_operation
ddsub852 subtract -1000 sNaN -> NaN Invalid_operation
ddsub853 subtract -1 sNaN -> NaN Invalid_operation
ddsub854 subtract -0 sNaN -> NaN Invalid_operation
ddsub855 subtract 0 sNaN -> NaN Invalid_operation
ddsub856 subtract 1 sNaN -> NaN Invalid_operation
ddsub857 subtract 1000 sNaN -> NaN Invalid_operation
ddsub858 subtract Inf sNaN -> NaN Invalid_operation
ddsub859 subtract NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
ddsub861 subtract NaN01 -Inf -> NaN1
ddsub862 subtract -NaN02 -1000 -> -NaN2
ddsub863 subtract NaN03 1000 -> NaN3
ddsub864 subtract NaN04 Inf -> NaN4
ddsub865 subtract NaN05 NaN61 -> NaN5
ddsub866 subtract -Inf -NaN71 -> -NaN71
ddsub867 subtract -1000 NaN81 -> NaN81
ddsub868 subtract 1000 NaN91 -> NaN91
ddsub869 subtract Inf NaN101 -> NaN101
ddsub871 subtract sNaN011 -Inf -> NaN11 Invalid_operation
ddsub872 subtract sNaN012 -1000 -> NaN12 Invalid_operation
ddsub873 subtract -sNaN013 1000 -> -NaN13 Invalid_operation
ddsub874 subtract sNaN014 NaN171 -> NaN14 Invalid_operation
ddsub875 subtract sNaN015 sNaN181 -> NaN15 Invalid_operation
ddsub876 subtract NaN016 sNaN191 -> NaN191 Invalid_operation
ddsub877 subtract -Inf sNaN201 -> NaN201 Invalid_operation
ddsub878 subtract -1000 sNaN211 -> NaN211 Invalid_operation
ddsub879 subtract 1000 -sNaN221 -> -NaN221 Invalid_operation
ddsub880 subtract Inf sNaN231 -> NaN231 Invalid_operation
ddsub881 subtract NaN025 sNaN241 -> NaN241 Invalid_operation
-- edge case spills
ddsub901 subtract 2.E-3 1.002 -> -1.000
ddsub902 subtract 2.0E-3 1.002 -> -1.0000
ddsub903 subtract 2.00E-3 1.0020 -> -1.00000
ddsub904 subtract 2.000E-3 1.00200 -> -1.000000
ddsub905 subtract 2.0000E-3 1.002000 -> -1.0000000
ddsub906 subtract 2.00000E-3 1.0020000 -> -1.00000000
ddsub907 subtract 2.000000E-3 1.00200000 -> -1.000000000
ddsub908 subtract 2.0000000E-3 1.002000000 -> -1.0000000000
-- subnormals and overflows covered under Add
-- Null tests
ddsub9990 subtract 10 # -> NaN Invalid_operation
ddsub9991 subtract # 10 -> NaN Invalid_operation