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- ------------------------------------------------------------------------
- -- ddSubtract.decTest -- decDouble 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: 2.59
- -- 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
|