------------------------------------------------------------------------ -- ddSubtract.decTest -- decDouble subtraction -- -- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. -- -- Parts copyright (c) IBM Corporation, 1981, 2008. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://speleotrove.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, mfc@speleotrove.com -- ------------------------------------------------------------------------ version: 2.62 -- 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