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