diff options
Diffstat (limited to 'lib/python2.7/test/decimaltestdata/dqSubtract.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/dqSubtract.decTest | 635 |
1 files changed, 0 insertions, 635 deletions
diff --git a/lib/python2.7/test/decimaltestdata/dqSubtract.decTest b/lib/python2.7/test/decimaltestdata/dqSubtract.decTest deleted file mode 100644 index 34572f6..0000000 --- a/lib/python2.7/test/decimaltestdata/dqSubtract.decTest +++ /dev/null @@ -1,635 +0,0 @@ ------------------------------------------------------------------------- --- dqSubtract.decTest -- decQuad subtraction -- --- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------- --- Please see the document "General Decimal Arithmetic Testcases" -- --- at http://www2.hursley.ibm.com/decimal for the description of -- --- these testcases. -- --- -- --- These testcases are experimental ('beta' versions), and they -- --- may contain errors. They are offered on an as-is basis. In -- --- particular, achieving the same results as the tests here is not -- --- a guarantee that an implementation complies with any Standard -- --- or specification. The tests are not exhaustive. -- --- -- --- Please send comments, suggestions, and corrections to the author: -- --- Mike Cowlishaw, IBM Fellow -- --- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- --- mfc@uk.ibm.com -- ------------------------------------------------------------------------- -version: 2.59 - --- This set of tests are for decQuads only; all arguments are --- representable in a decQuad -extended: 1 -clamp: 1 -precision: 34 -maxExponent: 6144 -minExponent: -6143 -rounding: half_even - --- [first group are 'quick confidence check'] -dqsub001 subtract 0 0 -> '0' -dqsub002 subtract 1 1 -> '0' -dqsub003 subtract 1 2 -> '-1' -dqsub004 subtract 2 1 -> '1' -dqsub005 subtract 2 2 -> '0' -dqsub006 subtract 3 2 -> '1' -dqsub007 subtract 2 3 -> '-1' - -dqsub011 subtract -0 0 -> '-0' -dqsub012 subtract -1 1 -> '-2' -dqsub013 subtract -1 2 -> '-3' -dqsub014 subtract -2 1 -> '-3' -dqsub015 subtract -2 2 -> '-4' -dqsub016 subtract -3 2 -> '-5' -dqsub017 subtract -2 3 -> '-5' - -dqsub021 subtract 0 -0 -> '0' -dqsub022 subtract 1 -1 -> '2' -dqsub023 subtract 1 -2 -> '3' -dqsub024 subtract 2 -1 -> '3' -dqsub025 subtract 2 -2 -> '4' -dqsub026 subtract 3 -2 -> '5' -dqsub027 subtract 2 -3 -> '5' - -dqsub030 subtract 11 1 -> 10 -dqsub031 subtract 10 1 -> 9 -dqsub032 subtract 9 1 -> 8 -dqsub033 subtract 1 1 -> 0 -dqsub034 subtract 0 1 -> -1 -dqsub035 subtract -1 1 -> -2 -dqsub036 subtract -9 1 -> -10 -dqsub037 subtract -10 1 -> -11 -dqsub038 subtract -11 1 -> -12 - -dqsub040 subtract '5.75' '3.3' -> '2.45' -dqsub041 subtract '5' '-3' -> '8' -dqsub042 subtract '-5' '-3' -> '-2' -dqsub043 subtract '-7' '2.5' -> '-9.5' -dqsub044 subtract '0.7' '0.3' -> '0.4' -dqsub045 subtract '1.3' '0.3' -> '1.0' -dqsub046 subtract '1.25' '1.25' -> '0.00' - -dqsub050 subtract '1.23456789' '1.00000000' -> '0.23456789' -dqsub051 subtract '1.23456789' '1.00000089' -> '0.23456700' - -dqsub060 subtract '70' '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded -dqsub061 subtract '700' '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded -dqsub062 subtract '7000' '10000e+34' -> '-9.999999999999999999999999999999999E+37' Inexact Rounded -dqsub063 subtract '70000' '10000e+34' -> '-9.999999999999999999999999999999993E+37' Rounded -dqsub064 subtract '700000' '10000e+34' -> '-9.999999999999999999999999999999930E+37' Rounded - -- symmetry: -dqsub065 subtract '10000e+34' '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded -dqsub066 subtract '10000e+34' '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded -dqsub067 subtract '10000e+34' '7000' -> '9.999999999999999999999999999999999E+37' Inexact Rounded -dqsub068 subtract '10000e+34' '70000' -> '9.999999999999999999999999999999993E+37' Rounded -dqsub069 subtract '10000e+34' '700000' -> '9.999999999999999999999999999999930E+37' Rounded - - -- some of the next group are really constructor tests -dqsub090 subtract '00.0' '0.0' -> '0.0' -dqsub091 subtract '00.0' '0.00' -> '0.00' -dqsub092 subtract '0.00' '00.0' -> '0.00' -dqsub093 subtract '00.0' '0.00' -> '0.00' -dqsub094 subtract '0.00' '00.0' -> '0.00' -dqsub095 subtract '3' '.3' -> '2.7' -dqsub096 subtract '3.' '.3' -> '2.7' -dqsub097 subtract '3.0' '.3' -> '2.7' -dqsub098 subtract '3.00' '.3' -> '2.70' -dqsub099 subtract '3' '3' -> '0' -dqsub100 subtract '3' '+3' -> '0' -dqsub101 subtract '3' '-3' -> '6' -dqsub102 subtract '3' '0.3' -> '2.7' -dqsub103 subtract '3.' '0.3' -> '2.7' -dqsub104 subtract '3.0' '0.3' -> '2.7' -dqsub105 subtract '3.00' '0.3' -> '2.70' -dqsub106 subtract '3' '3.0' -> '0.0' -dqsub107 subtract '3' '+3.0' -> '0.0' -dqsub108 subtract '3' '-3.0' -> '6.0' - --- the above all from add; massaged and extended. Now some new ones... --- [particularly important for comparisons] --- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7 --- with input rounding. -dqsub120 subtract '10.23456784' '10.23456789' -> '-5E-8' -dqsub121 subtract '10.23456785' '10.23456789' -> '-4E-8' -dqsub122 subtract '10.23456786' '10.23456789' -> '-3E-8' -dqsub123 subtract '10.23456787' '10.23456789' -> '-2E-8' -dqsub124 subtract '10.23456788' '10.23456789' -> '-1E-8' -dqsub125 subtract '10.23456789' '10.23456789' -> '0E-8' -dqsub126 subtract '10.23456790' '10.23456789' -> '1E-8' -dqsub127 subtract '10.23456791' '10.23456789' -> '2E-8' -dqsub128 subtract '10.23456792' '10.23456789' -> '3E-8' -dqsub129 subtract '10.23456793' '10.23456789' -> '4E-8' -dqsub130 subtract '10.23456794' '10.23456789' -> '5E-8' -dqsub131 subtract '10.23456781' '10.23456786' -> '-5E-8' -dqsub132 subtract '10.23456782' '10.23456786' -> '-4E-8' -dqsub133 subtract '10.23456783' '10.23456786' -> '-3E-8' -dqsub134 subtract '10.23456784' '10.23456786' -> '-2E-8' -dqsub135 subtract '10.23456785' '10.23456786' -> '-1E-8' -dqsub136 subtract '10.23456786' '10.23456786' -> '0E-8' -dqsub137 subtract '10.23456787' '10.23456786' -> '1E-8' -dqsub138 subtract '10.23456788' '10.23456786' -> '2E-8' -dqsub139 subtract '10.23456789' '10.23456786' -> '3E-8' -dqsub140 subtract '10.23456790' '10.23456786' -> '4E-8' -dqsub141 subtract '10.23456791' '10.23456786' -> '5E-8' -dqsub142 subtract '1' '0.999999999' -> '1E-9' -dqsub143 subtract '0.999999999' '1' -> '-1E-9' -dqsub144 subtract '-10.23456780' '-10.23456786' -> '6E-8' -dqsub145 subtract '-10.23456790' '-10.23456786' -> '-4E-8' -dqsub146 subtract '-10.23456791' '-10.23456786' -> '-5E-8' - --- additional scaled arithmetic tests [0.97 problem] -dqsub160 subtract '0' '.1' -> '-0.1' -dqsub161 subtract '00' '.97983' -> '-0.97983' -dqsub162 subtract '0' '.9' -> '-0.9' -dqsub163 subtract '0' '0.102' -> '-0.102' -dqsub164 subtract '0' '.4' -> '-0.4' -dqsub165 subtract '0' '.307' -> '-0.307' -dqsub166 subtract '0' '.43822' -> '-0.43822' -dqsub167 subtract '0' '.911' -> '-0.911' -dqsub168 subtract '.0' '.02' -> '-0.02' -dqsub169 subtract '00' '.392' -> '-0.392' -dqsub170 subtract '0' '.26' -> '-0.26' -dqsub171 subtract '0' '0.51' -> '-0.51' -dqsub172 subtract '0' '.2234' -> '-0.2234' -dqsub173 subtract '0' '.2' -> '-0.2' -dqsub174 subtract '.0' '.0008' -> '-0.0008' --- 0. on left -dqsub180 subtract '0.0' '-.1' -> '0.1' -dqsub181 subtract '0.00' '-.97983' -> '0.97983' -dqsub182 subtract '0.0' '-.9' -> '0.9' -dqsub183 subtract '0.0' '-0.102' -> '0.102' -dqsub184 subtract '0.0' '-.4' -> '0.4' -dqsub185 subtract '0.0' '-.307' -> '0.307' -dqsub186 subtract '0.0' '-.43822' -> '0.43822' -dqsub187 subtract '0.0' '-.911' -> '0.911' -dqsub188 subtract '0.0' '-.02' -> '0.02' -dqsub189 subtract '0.00' '-.392' -> '0.392' -dqsub190 subtract '0.0' '-.26' -> '0.26' -dqsub191 subtract '0.0' '-0.51' -> '0.51' -dqsub192 subtract '0.0' '-.2234' -> '0.2234' -dqsub193 subtract '0.0' '-.2' -> '0.2' -dqsub194 subtract '0.0' '-.0008' -> '0.0008' --- negatives of same -dqsub200 subtract '0' '-.1' -> '0.1' -dqsub201 subtract '00' '-.97983' -> '0.97983' -dqsub202 subtract '0' '-.9' -> '0.9' -dqsub203 subtract '0' '-0.102' -> '0.102' -dqsub204 subtract '0' '-.4' -> '0.4' -dqsub205 subtract '0' '-.307' -> '0.307' -dqsub206 subtract '0' '-.43822' -> '0.43822' -dqsub207 subtract '0' '-.911' -> '0.911' -dqsub208 subtract '.0' '-.02' -> '0.02' -dqsub209 subtract '00' '-.392' -> '0.392' -dqsub210 subtract '0' '-.26' -> '0.26' -dqsub211 subtract '0' '-0.51' -> '0.51' -dqsub212 subtract '0' '-.2234' -> '0.2234' -dqsub213 subtract '0' '-.2' -> '0.2' -dqsub214 subtract '.0' '-.0008' -> '0.0008' - --- more fixed, LHS swaps [really the same as testcases under add] -dqsub220 subtract '-56267E-12' 0 -> '-5.6267E-8' -dqsub221 subtract '-56267E-11' 0 -> '-5.6267E-7' -dqsub222 subtract '-56267E-10' 0 -> '-0.0000056267' -dqsub223 subtract '-56267E-9' 0 -> '-0.000056267' -dqsub224 subtract '-56267E-8' 0 -> '-0.00056267' -dqsub225 subtract '-56267E-7' 0 -> '-0.0056267' -dqsub226 subtract '-56267E-6' 0 -> '-0.056267' -dqsub227 subtract '-56267E-5' 0 -> '-0.56267' -dqsub228 subtract '-56267E-2' 0 -> '-562.67' -dqsub229 subtract '-56267E-1' 0 -> '-5626.7' -dqsub230 subtract '-56267E-0' 0 -> '-56267' --- symmetry ... -dqsub240 subtract 0 '-56267E-12' -> '5.6267E-8' -dqsub241 subtract 0 '-56267E-11' -> '5.6267E-7' -dqsub242 subtract 0 '-56267E-10' -> '0.0000056267' -dqsub243 subtract 0 '-56267E-9' -> '0.000056267' -dqsub244 subtract 0 '-56267E-8' -> '0.00056267' -dqsub245 subtract 0 '-56267E-7' -> '0.0056267' -dqsub246 subtract 0 '-56267E-6' -> '0.056267' -dqsub247 subtract 0 '-56267E-5' -> '0.56267' -dqsub248 subtract 0 '-56267E-2' -> '562.67' -dqsub249 subtract 0 '-56267E-1' -> '5626.7' -dqsub250 subtract 0 '-56267E-0' -> '56267' - --- now some more from the 'new' add -dqsub301 subtract '1.23456789' '1.00000000' -> '0.23456789' -dqsub302 subtract '1.23456789' '1.00000011' -> '0.23456778' - --- some carrying effects -dqsub321 subtract '0.9998' '0.0000' -> '0.9998' -dqsub322 subtract '0.9998' '0.0001' -> '0.9997' -dqsub323 subtract '0.9998' '0.0002' -> '0.9996' -dqsub324 subtract '0.9998' '0.0003' -> '0.9995' -dqsub325 subtract '0.9998' '-0.0000' -> '0.9998' -dqsub326 subtract '0.9998' '-0.0001' -> '0.9999' -dqsub327 subtract '0.9998' '-0.0002' -> '1.0000' -dqsub328 subtract '0.9998' '-0.0003' -> '1.0001' - --- internal boundaries -dqsub346 subtract '10000e+9' '7' -> '9999999999993' -dqsub347 subtract '10000e+9' '70' -> '9999999999930' -dqsub348 subtract '10000e+9' '700' -> '9999999999300' -dqsub349 subtract '10000e+9' '7000' -> '9999999993000' -dqsub350 subtract '10000e+9' '70000' -> '9999999930000' -dqsub351 subtract '10000e+9' '700000' -> '9999999300000' -dqsub352 subtract '7' '10000e+9' -> '-9999999999993' -dqsub353 subtract '70' '10000e+9' -> '-9999999999930' -dqsub354 subtract '700' '10000e+9' -> '-9999999999300' -dqsub355 subtract '7000' '10000e+9' -> '-9999999993000' -dqsub356 subtract '70000' '10000e+9' -> '-9999999930000' -dqsub357 subtract '700000' '10000e+9' -> '-9999999300000' - --- zero preservation -dqsub361 subtract 1 '0.0001' -> '0.9999' -dqsub362 subtract 1 '0.00001' -> '0.99999' -dqsub363 subtract 1 '0.000001' -> '0.999999' -dqsub364 subtract 1 '0.0000000000000000000000000000000001' -> '0.9999999999999999999999999999999999' -dqsub365 subtract 1 '0.00000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded -dqsub366 subtract 1 '0.000000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded - --- some funny zeros [in case of bad signum] -dqsub370 subtract 1 0 -> 1 -dqsub371 subtract 1 0. -> 1 -dqsub372 subtract 1 .0 -> 1.0 -dqsub373 subtract 1 0.0 -> 1.0 -dqsub374 subtract 0 1 -> -1 -dqsub375 subtract 0. 1 -> -1 -dqsub376 subtract .0 1 -> -1.0 -dqsub377 subtract 0.0 1 -> -1.0 - --- leading 0 digit before round -dqsub910 subtract -103519362 -51897955.3 -> -51621406.7 -dqsub911 subtract 159579.444 89827.5229 -> 69751.9211 - -dqsub920 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234566 -> 299.9999999999999999999999999999999 Inexact Rounded -dqsub921 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234565 -> 300.0000000000000000000000000000000 Inexact Rounded -dqsub922 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234565 -> 99.99999999999999999999999999999995 -dqsub923 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234564 -> 99.99999999999999999999999999999996 -dqsub924 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234540 -> 100.0000000000000000000000000000002 Rounded -dqsub925 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234560 -> 90.00000000000000000000000000000000 -dqsub926 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234561 -> 89.99999999999999999999999999999999 -dqsub927 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234566 -> 89.99999999999999999999999999999994 -dqsub928 subtract 101.0000000000000000000000000123456 91.00000000000000000000000001234566 -> 9.99999999999999999999999999999994 -dqsub929 subtract 101.0000000000000000000000000123456 99.00000000000000000000000001234566 -> 1.99999999999999999999999999999994 - --- more LHS swaps [were fixed] -dqsub390 subtract '-56267E-10' 0 -> '-0.0000056267' -dqsub391 subtract '-56267E-6' 0 -> '-0.056267' -dqsub392 subtract '-56267E-5' 0 -> '-0.56267' -dqsub393 subtract '-56267E-4' 0 -> '-5.6267' -dqsub394 subtract '-56267E-3' 0 -> '-56.267' -dqsub395 subtract '-56267E-2' 0 -> '-562.67' -dqsub396 subtract '-56267E-1' 0 -> '-5626.7' -dqsub397 subtract '-56267E-0' 0 -> '-56267' -dqsub398 subtract '-5E-10' 0 -> '-5E-10' -dqsub399 subtract '-5E-7' 0 -> '-5E-7' -dqsub400 subtract '-5E-6' 0 -> '-0.000005' -dqsub401 subtract '-5E-5' 0 -> '-0.00005' -dqsub402 subtract '-5E-4' 0 -> '-0.0005' -dqsub403 subtract '-5E-1' 0 -> '-0.5' -dqsub404 subtract '-5E0' 0 -> '-5' -dqsub405 subtract '-5E1' 0 -> '-50' -dqsub406 subtract '-5E5' 0 -> '-500000' -dqsub407 subtract '-5E33' 0 -> '-5000000000000000000000000000000000' -dqsub408 subtract '-5E34' 0 -> '-5.000000000000000000000000000000000E+34' Rounded -dqsub409 subtract '-5E35' 0 -> '-5.000000000000000000000000000000000E+35' Rounded -dqsub410 subtract '-5E36' 0 -> '-5.000000000000000000000000000000000E+36' Rounded -dqsub411 subtract '-5E100' 0 -> '-5.000000000000000000000000000000000E+100' Rounded - --- more RHS swaps [were fixed] -dqsub420 subtract 0 '-56267E-10' -> '0.0000056267' -dqsub421 subtract 0 '-56267E-6' -> '0.056267' -dqsub422 subtract 0 '-56267E-5' -> '0.56267' -dqsub423 subtract 0 '-56267E-4' -> '5.6267' -dqsub424 subtract 0 '-56267E-3' -> '56.267' -dqsub425 subtract 0 '-56267E-2' -> '562.67' -dqsub426 subtract 0 '-56267E-1' -> '5626.7' -dqsub427 subtract 0 '-56267E-0' -> '56267' -dqsub428 subtract 0 '-5E-10' -> '5E-10' -dqsub429 subtract 0 '-5E-7' -> '5E-7' -dqsub430 subtract 0 '-5E-6' -> '0.000005' -dqsub431 subtract 0 '-5E-5' -> '0.00005' -dqsub432 subtract 0 '-5E-4' -> '0.0005' -dqsub433 subtract 0 '-5E-1' -> '0.5' -dqsub434 subtract 0 '-5E0' -> '5' -dqsub435 subtract 0 '-5E1' -> '50' -dqsub436 subtract 0 '-5E5' -> '500000' -dqsub437 subtract 0 '-5E33' -> '5000000000000000000000000000000000' -dqsub438 subtract 0 '-5E34' -> '5.000000000000000000000000000000000E+34' Rounded -dqsub439 subtract 0 '-5E35' -> '5.000000000000000000000000000000000E+35' Rounded -dqsub440 subtract 0 '-5E36' -> '5.000000000000000000000000000000000E+36' Rounded -dqsub441 subtract 0 '-5E100' -> '5.000000000000000000000000000000000E+100' Rounded - - --- try borderline precision, with carries, etc. -dqsub461 subtract '1E+16' '1' -> '9999999999999999' -dqsub462 subtract '1E+12' '-1.111' -> '1000000000001.111' -dqsub463 subtract '1.111' '-1E+12' -> '1000000000001.111' -dqsub464 subtract '-1' '-1E+16' -> '9999999999999999' -dqsub465 subtract '7E+15' '1' -> '6999999999999999' -dqsub466 subtract '7E+12' '-1.111' -> '7000000000001.111' -dqsub467 subtract '1.111' '-7E+12' -> '7000000000001.111' -dqsub468 subtract '-1' '-7E+15' -> '6999999999999999' - --- 1234567890123456 1234567890123456 1 23456789012345 -dqsub470 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555563' -> '1.000000000000000000000000000000001' Inexact Rounded -dqsub471 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555562' -> '1.000000000000000000000000000000001' Inexact Rounded -dqsub472 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555561' -> '1.000000000000000000000000000000000' Inexact Rounded -dqsub473 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555560' -> '1.000000000000000000000000000000000' Inexact Rounded -dqsub474 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555559' -> '1.000000000000000000000000000000000' Inexact Rounded -dqsub475 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555558' -> '1.000000000000000000000000000000000' Inexact Rounded -dqsub476 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555557' -> '1.000000000000000000000000000000000' Inexact Rounded -dqsub477 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555556' -> '1.000000000000000000000000000000000' Rounded -dqsub478 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999' -dqsub479 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555554' -> '0.9999999999999999999999999999999998' -dqsub480 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555553' -> '0.9999999999999999999999999999999997' -dqsub481 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555552' -> '0.9999999999999999999999999999999996' -dqsub482 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555551' -> '0.9999999999999999999999999999999995' -dqsub483 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555550' -> '0.9999999999999999999999999999999994' - --- and some more, including residue effects and different roundings -rounding: half_up -dqsub500 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789' -dqsub501 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub502 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub503 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub504 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub505 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub506 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub507 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub508 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub509 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub510 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub511 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub512 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub513 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub514 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub515 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub516 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788' -dqsub517 subtract '1231234555555555555555555567456789' 1.000000001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub518 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub519 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456788' Inexact Rounded - -rounding: half_even -dqsub520 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789' -dqsub521 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub522 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub523 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub524 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub525 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub526 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub527 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456789' Inexact Rounded -dqsub528 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub529 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub530 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub531 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub532 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub533 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub534 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub535 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub536 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788' -dqsub537 subtract '1231234555555555555555555567456789' 1.00000001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub538 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub539 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456788' Inexact Rounded --- critical few with even bottom digit... -dqsub540 subtract '1231234555555555555555555567456788' 0.499999999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub541 subtract '1231234555555555555555555567456788' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub542 subtract '1231234555555555555555555567456788' 0.500000001 -> '1231234555555555555555555567456787' Inexact Rounded - -rounding: down -dqsub550 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789' -dqsub551 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub552 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub553 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub554 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub555 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub556 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub557 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub558 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub559 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub560 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub561 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub562 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub563 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub564 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub565 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded -dqsub566 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788' -dqsub567 subtract '1231234555555555555555555567456789' 1.00000001 -> '1231234555555555555555555567456787' Inexact Rounded -dqsub568 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456787' Inexact Rounded -dqsub569 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456787' Inexact Rounded - --- symmetry... -rounding: half_up -dqsub600 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' -dqsub601 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub602 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub603 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub604 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub605 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub606 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub607 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub608 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub609 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub610 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub611 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub612 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub613 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub614 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub615 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub616 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' -dqsub617 subtract 1.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub618 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub619 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded - -rounding: half_even -dqsub620 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' -dqsub621 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub622 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub623 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub624 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub625 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub626 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub627 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded -dqsub628 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub629 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub630 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub631 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub632 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub633 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub634 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub635 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub636 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' -dqsub637 subtract 1.00000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub638 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub639 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded --- critical few with even bottom digit... -dqsub640 subtract 0.499999999 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub641 subtract 0.5 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub642 subtract 0.500000001 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456787' Inexact Rounded - -rounding: down -dqsub650 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' -dqsub651 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub652 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub653 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub654 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub655 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub656 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub657 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub658 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub659 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub660 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub661 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub662 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub663 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub664 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub665 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded -dqsub666 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' -dqsub667 subtract 1.00000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded -dqsub668 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded -dqsub669 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded - - --- lots of leading zeros in intermediate result, and showing effects of --- input rounding would have affected the following -rounding: half_up -dqsub670 subtract '1234567456789' '1234567456788.1' -> 0.9 -dqsub671 subtract '1234567456789' '1234567456788.9' -> 0.1 -dqsub672 subtract '1234567456789' '1234567456789.1' -> -0.1 -dqsub673 subtract '1234567456789' '1234567456789.5' -> -0.5 -dqsub674 subtract '1234567456789' '1234567456789.9' -> -0.9 - -rounding: half_even -dqsub680 subtract '1234567456789' '1234567456788.1' -> 0.9 -dqsub681 subtract '1234567456789' '1234567456788.9' -> 0.1 -dqsub682 subtract '1234567456789' '1234567456789.1' -> -0.1 -dqsub683 subtract '1234567456789' '1234567456789.5' -> -0.5 -dqsub684 subtract '1234567456789' '1234567456789.9' -> -0.9 - -dqsub685 subtract '1234567456788' '1234567456787.1' -> 0.9 -dqsub686 subtract '1234567456788' '1234567456787.9' -> 0.1 -dqsub687 subtract '1234567456788' '1234567456788.1' -> -0.1 -dqsub688 subtract '1234567456788' '1234567456788.5' -> -0.5 -dqsub689 subtract '1234567456788' '1234567456788.9' -> -0.9 - -rounding: down -dqsub690 subtract '1234567456789' '1234567456788.1' -> 0.9 -dqsub691 subtract '1234567456789' '1234567456788.9' -> 0.1 -dqsub692 subtract '1234567456789' '1234567456789.1' -> -0.1 -dqsub693 subtract '1234567456789' '1234567456789.5' -> -0.5 -dqsub694 subtract '1234567456789' '1234567456789.9' -> -0.9 - --- Specials -dqsub780 subtract -Inf Inf -> -Infinity -dqsub781 subtract -Inf 1000 -> -Infinity -dqsub782 subtract -Inf 1 -> -Infinity -dqsub783 subtract -Inf -0 -> -Infinity -dqsub784 subtract -Inf -1 -> -Infinity -dqsub785 subtract -Inf -1000 -> -Infinity -dqsub787 subtract -1000 Inf -> -Infinity -dqsub788 subtract -Inf Inf -> -Infinity -dqsub789 subtract -1 Inf -> -Infinity -dqsub790 subtract 0 Inf -> -Infinity -dqsub791 subtract 1 Inf -> -Infinity -dqsub792 subtract 1000 Inf -> -Infinity - -dqsub800 subtract Inf Inf -> NaN Invalid_operation -dqsub801 subtract Inf 1000 -> Infinity -dqsub802 subtract Inf 1 -> Infinity -dqsub803 subtract Inf 0 -> Infinity -dqsub804 subtract Inf -0 -> Infinity -dqsub805 subtract Inf -1 -> Infinity -dqsub806 subtract Inf -1000 -> Infinity -dqsub807 subtract Inf -Inf -> Infinity -dqsub808 subtract -1000 -Inf -> Infinity -dqsub809 subtract -Inf -Inf -> NaN Invalid_operation -dqsub810 subtract -1 -Inf -> Infinity -dqsub811 subtract -0 -Inf -> Infinity -dqsub812 subtract 0 -Inf -> Infinity -dqsub813 subtract 1 -Inf -> Infinity -dqsub814 subtract 1000 -Inf -> Infinity -dqsub815 subtract Inf -Inf -> Infinity - -dqsub821 subtract NaN Inf -> NaN -dqsub822 subtract -NaN 1000 -> -NaN -dqsub823 subtract NaN 1 -> NaN -dqsub824 subtract NaN 0 -> NaN -dqsub825 subtract NaN -0 -> NaN -dqsub826 subtract NaN -1 -> NaN -dqsub827 subtract NaN -1000 -> NaN -dqsub828 subtract NaN -Inf -> NaN -dqsub829 subtract -NaN NaN -> -NaN -dqsub830 subtract -Inf NaN -> NaN -dqsub831 subtract -1000 NaN -> NaN -dqsub832 subtract -1 NaN -> NaN -dqsub833 subtract -0 NaN -> NaN -dqsub834 subtract 0 NaN -> NaN -dqsub835 subtract 1 NaN -> NaN -dqsub836 subtract 1000 -NaN -> -NaN -dqsub837 subtract Inf NaN -> NaN - -dqsub841 subtract sNaN Inf -> NaN Invalid_operation -dqsub842 subtract -sNaN 1000 -> -NaN Invalid_operation -dqsub843 subtract sNaN 1 -> NaN Invalid_operation -dqsub844 subtract sNaN 0 -> NaN Invalid_operation -dqsub845 subtract sNaN -0 -> NaN Invalid_operation -dqsub846 subtract sNaN -1 -> NaN Invalid_operation -dqsub847 subtract sNaN -1000 -> NaN Invalid_operation -dqsub848 subtract sNaN NaN -> NaN Invalid_operation -dqsub849 subtract sNaN sNaN -> NaN Invalid_operation -dqsub850 subtract NaN sNaN -> NaN Invalid_operation -dqsub851 subtract -Inf -sNaN -> -NaN Invalid_operation -dqsub852 subtract -1000 sNaN -> NaN Invalid_operation -dqsub853 subtract -1 sNaN -> NaN Invalid_operation -dqsub854 subtract -0 sNaN -> NaN Invalid_operation -dqsub855 subtract 0 sNaN -> NaN Invalid_operation -dqsub856 subtract 1 sNaN -> NaN Invalid_operation -dqsub857 subtract 1000 sNaN -> NaN Invalid_operation -dqsub858 subtract Inf sNaN -> NaN Invalid_operation -dqsub859 subtract NaN sNaN -> NaN Invalid_operation - --- propagating NaNs -dqsub861 subtract NaN01 -Inf -> NaN1 -dqsub862 subtract -NaN02 -1000 -> -NaN2 -dqsub863 subtract NaN03 1000 -> NaN3 -dqsub864 subtract NaN04 Inf -> NaN4 -dqsub865 subtract NaN05 NaN61 -> NaN5 -dqsub866 subtract -Inf -NaN71 -> -NaN71 -dqsub867 subtract -1000 NaN81 -> NaN81 -dqsub868 subtract 1000 NaN91 -> NaN91 -dqsub869 subtract Inf NaN101 -> NaN101 -dqsub871 subtract sNaN011 -Inf -> NaN11 Invalid_operation -dqsub872 subtract sNaN012 -1000 -> NaN12 Invalid_operation -dqsub873 subtract -sNaN013 1000 -> -NaN13 Invalid_operation -dqsub874 subtract sNaN014 NaN171 -> NaN14 Invalid_operation -dqsub875 subtract sNaN015 sNaN181 -> NaN15 Invalid_operation -dqsub876 subtract NaN016 sNaN191 -> NaN191 Invalid_operation -dqsub877 subtract -Inf sNaN201 -> NaN201 Invalid_operation -dqsub878 subtract -1000 sNaN211 -> NaN211 Invalid_operation -dqsub879 subtract 1000 -sNaN221 -> -NaN221 Invalid_operation -dqsub880 subtract Inf sNaN231 -> NaN231 Invalid_operation -dqsub881 subtract NaN025 sNaN241 -> NaN241 Invalid_operation - --- edge case spills -dqsub901 subtract 2.E-3 1.002 -> -1.000 -dqsub902 subtract 2.0E-3 1.002 -> -1.0000 -dqsub903 subtract 2.00E-3 1.0020 -> -1.00000 -dqsub904 subtract 2.000E-3 1.00200 -> -1.000000 -dqsub905 subtract 2.0000E-3 1.002000 -> -1.0000000 -dqsub906 subtract 2.00000E-3 1.0020000 -> -1.00000000 -dqsub907 subtract 2.000000E-3 1.00200000 -> -1.000000000 -dqsub908 subtract 2.0000000E-3 1.002000000 -> -1.0000000000 - --- subnormals and overflows covered under Add - --- Examples from SQL proposal (Krishna Kulkarni) -dqsub1125 subtract 130E-2 120E-2 -> 0.10 -dqsub1126 subtract 130E-2 12E-1 -> 0.10 -dqsub1127 subtract 130E-2 1E0 -> 0.30 -dqsub1128 subtract 1E2 1E4 -> -9.9E+3 - --- Null tests -dqsub9990 subtract 10 # -> NaN Invalid_operation -dqsub9991 subtract # 10 -> NaN Invalid_operation |