diff -r ffa851df0825 -r 2fb8b9db1c86 symbian-qemu-0.9.1-12/python-win32-2.6.1/lib/test/decimaltestdata/dqSubtract.decTest --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/symbian-qemu-0.9.1-12/python-win32-2.6.1/lib/test/decimaltestdata/dqSubtract.decTest Fri Jul 31 15:01:17 2009 +0100 @@ -0,0 +1,635 @@ +------------------------------------------------------------------------ +-- 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: 2.58 + +-- 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