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✏️ dqSubtract.decTest
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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: 2.59 -- 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
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