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|
------------------------------------------------------------------------
-- 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
|
