diff options
Diffstat (limited to 'lib/python2.7/test/decimaltestdata/ddSubtract.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/ddSubtract.decTest | 629 |
1 files changed, 629 insertions, 0 deletions
diff --git a/lib/python2.7/test/decimaltestdata/ddSubtract.decTest b/lib/python2.7/test/decimaltestdata/ddSubtract.decTest new file mode 100644 index 0000000..5ebc487 --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/ddSubtract.decTest @@ -0,0 +1,629 @@ +------------------------------------------------------------------------ +-- 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 |