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