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