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cpython/Lib/test/decimaltestdata/subtract.decTest

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Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
------------------------------------------------------------------------
-- subtract.decTest -- decimal subtraction --
Issue #3449: Update decimal module to use most recent specification (v. 1.68) and tests (v. 2.58) from IBM.
2008-07-27 03:39:07 -03:00
-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
------------------------------------------------------------------------
-- 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 --
------------------------------------------------------------------------
Update decimal test data to the most recent set from Mike Cowlishaw.
2009-10-08 13:28:39 -03:00
version: 2.59
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
extended: 1
precision: 9
rounding: half_up
maxExponent: 384
minexponent: -383
-- [first group are 'quick confidence check']
subx001 subtract 0 0 -> '0'
subx002 subtract 1 1 -> '0'
subx003 subtract 1 2 -> '-1'
subx004 subtract 2 1 -> '1'
subx005 subtract 2 2 -> '0'
subx006 subtract 3 2 -> '1'
subx007 subtract 2 3 -> '-1'
subx011 subtract -0 0 -> '-0'
subx012 subtract -1 1 -> '-2'
subx013 subtract -1 2 -> '-3'
subx014 subtract -2 1 -> '-3'
subx015 subtract -2 2 -> '-4'
subx016 subtract -3 2 -> '-5'
subx017 subtract -2 3 -> '-5'
subx021 subtract 0 -0 -> '0'
subx022 subtract 1 -1 -> '2'
subx023 subtract 1 -2 -> '3'
subx024 subtract 2 -1 -> '3'
subx025 subtract 2 -2 -> '4'
subx026 subtract 3 -2 -> '5'
subx027 subtract 2 -3 -> '5'
subx030 subtract 11 1 -> 10
subx031 subtract 10 1 -> 9
subx032 subtract 9 1 -> 8
subx033 subtract 1 1 -> 0
subx034 subtract 0 1 -> -1
subx035 subtract -1 1 -> -2
subx036 subtract -9 1 -> -10
subx037 subtract -10 1 -> -11
subx038 subtract -11 1 -> -12
subx040 subtract '5.75' '3.3' -> '2.45'
subx041 subtract '5' '-3' -> '8'
subx042 subtract '-5' '-3' -> '-2'
subx043 subtract '-7' '2.5' -> '-9.5'
subx044 subtract '0.7' '0.3' -> '0.4'
subx045 subtract '1.3' '0.3' -> '1.0'
subx046 subtract '1.25' '1.25' -> '0.00'
subx050 subtract '1.23456789' '1.00000000' -> '0.23456789'
subx051 subtract '1.23456789' '1.00000089' -> '0.23456700'
subx052 subtract '0.5555555559' '0.0000000001' -> '0.555555556' Inexact Rounded
subx053 subtract '0.5555555559' '0.0000000005' -> '0.555555555' Inexact Rounded
subx054 subtract '0.4444444444' '0.1111111111' -> '0.333333333' Inexact Rounded
subx055 subtract '1.0000000000' '0.00000001' -> '0.999999990' Rounded
subx056 subtract '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
subx057 subtract '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
subx060 subtract '70' '10000e+9' -> '-1.00000000E+13' Inexact Rounded
subx061 subtract '700' '10000e+9' -> '-1.00000000E+13' Inexact Rounded
subx062 subtract '7000' '10000e+9' -> '-9.99999999E+12' Inexact Rounded
subx063 subtract '70000' '10000e+9' -> '-9.99999993E+12' Rounded
subx064 subtract '700000' '10000e+9' -> '-9.99999930E+12' Rounded
-- symmetry:
subx065 subtract '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
subx066 subtract '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
subx067 subtract '10000e+9' '7000' -> '9.99999999E+12' Inexact Rounded
subx068 subtract '10000e+9' '70000' -> '9.99999993E+12' Rounded
subx069 subtract '10000e+9' '700000' -> '9.99999930E+12' Rounded
-- change precision
subx080 subtract '10000e+9' '70000' -> '9.99999993E+12' Rounded
precision: 6
subx081 subtract '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
precision: 9
-- some of the next group are really constructor tests
subx090 subtract '00.0' '0.0' -> '0.0'
subx091 subtract '00.0' '0.00' -> '0.00'
subx092 subtract '0.00' '00.0' -> '0.00'
subx093 subtract '00.0' '0.00' -> '0.00'
subx094 subtract '0.00' '00.0' -> '0.00'
subx095 subtract '3' '.3' -> '2.7'
subx096 subtract '3.' '.3' -> '2.7'
subx097 subtract '3.0' '.3' -> '2.7'
subx098 subtract '3.00' '.3' -> '2.70'
subx099 subtract '3' '3' -> '0'
subx100 subtract '3' '+3' -> '0'
subx101 subtract '3' '-3' -> '6'
subx102 subtract '3' '0.3' -> '2.7'
subx103 subtract '3.' '0.3' -> '2.7'
subx104 subtract '3.0' '0.3' -> '2.7'
subx105 subtract '3.00' '0.3' -> '2.70'
subx106 subtract '3' '3.0' -> '0.0'
subx107 subtract '3' '+3.0' -> '0.0'
subx108 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.
subx120 subtract '10.23456784' '10.23456789' -> '-5E-8'
subx121 subtract '10.23456785' '10.23456789' -> '-4E-8'
subx122 subtract '10.23456786' '10.23456789' -> '-3E-8'
subx123 subtract '10.23456787' '10.23456789' -> '-2E-8'
subx124 subtract '10.23456788' '10.23456789' -> '-1E-8'
subx125 subtract '10.23456789' '10.23456789' -> '0E-8'
subx126 subtract '10.23456790' '10.23456789' -> '1E-8'
subx127 subtract '10.23456791' '10.23456789' -> '2E-8'
subx128 subtract '10.23456792' '10.23456789' -> '3E-8'
subx129 subtract '10.23456793' '10.23456789' -> '4E-8'
subx130 subtract '10.23456794' '10.23456789' -> '5E-8'
subx131 subtract '10.23456781' '10.23456786' -> '-5E-8'
subx132 subtract '10.23456782' '10.23456786' -> '-4E-8'
subx133 subtract '10.23456783' '10.23456786' -> '-3E-8'
subx134 subtract '10.23456784' '10.23456786' -> '-2E-8'
subx135 subtract '10.23456785' '10.23456786' -> '-1E-8'
subx136 subtract '10.23456786' '10.23456786' -> '0E-8'
subx137 subtract '10.23456787' '10.23456786' -> '1E-8'
subx138 subtract '10.23456788' '10.23456786' -> '2E-8'
subx139 subtract '10.23456789' '10.23456786' -> '3E-8'
subx140 subtract '10.23456790' '10.23456786' -> '4E-8'
subx141 subtract '10.23456791' '10.23456786' -> '5E-8'
subx142 subtract '1' '0.999999999' -> '1E-9'
subx143 subtract '0.999999999' '1' -> '-1E-9'
subx144 subtract '-10.23456780' '-10.23456786' -> '6E-8'
subx145 subtract '-10.23456790' '-10.23456786' -> '-4E-8'
subx146 subtract '-10.23456791' '-10.23456786' -> '-5E-8'
precision: 3
subx150 subtract '12345678900000' '9999999999999' -> 2.35E+12 Inexact Rounded
subx151 subtract '9999999999999' '12345678900000' -> -2.35E+12 Inexact Rounded
precision: 6
subx152 subtract '12345678900000' '9999999999999' -> 2.34568E+12 Inexact Rounded
subx153 subtract '9999999999999' '12345678900000' -> -2.34568E+12 Inexact Rounded
precision: 9
subx154 subtract '12345678900000' '9999999999999' -> 2.34567890E+12 Inexact Rounded
subx155 subtract '9999999999999' '12345678900000' -> -2.34567890E+12 Inexact Rounded
precision: 12
subx156 subtract '12345678900000' '9999999999999' -> 2.34567890000E+12 Inexact Rounded
subx157 subtract '9999999999999' '12345678900000' -> -2.34567890000E+12 Inexact Rounded
precision: 15
subx158 subtract '12345678900000' '9999999999999' -> 2345678900001
subx159 subtract '9999999999999' '12345678900000' -> -2345678900001
precision: 9
-- additional scaled arithmetic tests [0.97 problem]
subx160 subtract '0' '.1' -> '-0.1'
subx161 subtract '00' '.97983' -> '-0.97983'
subx162 subtract '0' '.9' -> '-0.9'
subx163 subtract '0' '0.102' -> '-0.102'
subx164 subtract '0' '.4' -> '-0.4'
subx165 subtract '0' '.307' -> '-0.307'
subx166 subtract '0' '.43822' -> '-0.43822'
subx167 subtract '0' '.911' -> '-0.911'
subx168 subtract '.0' '.02' -> '-0.02'
subx169 subtract '00' '.392' -> '-0.392'
subx170 subtract '0' '.26' -> '-0.26'
subx171 subtract '0' '0.51' -> '-0.51'
subx172 subtract '0' '.2234' -> '-0.2234'
subx173 subtract '0' '.2' -> '-0.2'
subx174 subtract '.0' '.0008' -> '-0.0008'
-- 0. on left
subx180 subtract '0.0' '-.1' -> '0.1'
subx181 subtract '0.00' '-.97983' -> '0.97983'
subx182 subtract '0.0' '-.9' -> '0.9'
subx183 subtract '0.0' '-0.102' -> '0.102'
subx184 subtract '0.0' '-.4' -> '0.4'
subx185 subtract '0.0' '-.307' -> '0.307'
subx186 subtract '0.0' '-.43822' -> '0.43822'
subx187 subtract '0.0' '-.911' -> '0.911'
subx188 subtract '0.0' '-.02' -> '0.02'
subx189 subtract '0.00' '-.392' -> '0.392'
subx190 subtract '0.0' '-.26' -> '0.26'
subx191 subtract '0.0' '-0.51' -> '0.51'
subx192 subtract '0.0' '-.2234' -> '0.2234'
subx193 subtract '0.0' '-.2' -> '0.2'
subx194 subtract '0.0' '-.0008' -> '0.0008'
-- negatives of same
subx200 subtract '0' '-.1' -> '0.1'
subx201 subtract '00' '-.97983' -> '0.97983'
subx202 subtract '0' '-.9' -> '0.9'
subx203 subtract '0' '-0.102' -> '0.102'
subx204 subtract '0' '-.4' -> '0.4'
subx205 subtract '0' '-.307' -> '0.307'
subx206 subtract '0' '-.43822' -> '0.43822'
subx207 subtract '0' '-.911' -> '0.911'
subx208 subtract '.0' '-.02' -> '0.02'
subx209 subtract '00' '-.392' -> '0.392'
subx210 subtract '0' '-.26' -> '0.26'
subx211 subtract '0' '-0.51' -> '0.51'
subx212 subtract '0' '-.2234' -> '0.2234'
subx213 subtract '0' '-.2' -> '0.2'
subx214 subtract '.0' '-.0008' -> '0.0008'
-- more fixed, LHS swaps [really the same as testcases under add]
subx220 subtract '-56267E-12' 0 -> '-5.6267E-8'
subx221 subtract '-56267E-11' 0 -> '-5.6267E-7'
subx222 subtract '-56267E-10' 0 -> '-0.0000056267'
subx223 subtract '-56267E-9' 0 -> '-0.000056267'
subx224 subtract '-56267E-8' 0 -> '-0.00056267'
subx225 subtract '-56267E-7' 0 -> '-0.0056267'
subx226 subtract '-56267E-6' 0 -> '-0.056267'
subx227 subtract '-56267E-5' 0 -> '-0.56267'
subx228 subtract '-56267E-2' 0 -> '-562.67'
subx229 subtract '-56267E-1' 0 -> '-5626.7'
subx230 subtract '-56267E-0' 0 -> '-56267'
-- symmetry ...
subx240 subtract 0 '-56267E-12' -> '5.6267E-8'
subx241 subtract 0 '-56267E-11' -> '5.6267E-7'
subx242 subtract 0 '-56267E-10' -> '0.0000056267'
subx243 subtract 0 '-56267E-9' -> '0.000056267'
subx244 subtract 0 '-56267E-8' -> '0.00056267'
subx245 subtract 0 '-56267E-7' -> '0.0056267'
subx246 subtract 0 '-56267E-6' -> '0.056267'
subx247 subtract 0 '-56267E-5' -> '0.56267'
subx248 subtract 0 '-56267E-2' -> '562.67'
subx249 subtract 0 '-56267E-1' -> '5626.7'
subx250 subtract 0 '-56267E-0' -> '56267'
-- now some more from the 'new' add
precision: 9
subx301 subtract '1.23456789' '1.00000000' -> '0.23456789'
subx302 subtract '1.23456789' '1.00000011' -> '0.23456778'
subx311 subtract '0.4444444444' '0.5555555555' -> '-0.111111111' Inexact Rounded
subx312 subtract '0.4444444440' '0.5555555555' -> '-0.111111112' Inexact Rounded
subx313 subtract '0.4444444444' '0.5555555550' -> '-0.111111111' Inexact Rounded
subx314 subtract '0.44444444449' '0' -> '0.444444444' Inexact Rounded
subx315 subtract '0.444444444499' '0' -> '0.444444444' Inexact Rounded
subx316 subtract '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
subx317 subtract '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
subx318 subtract '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
subx319 subtract '0.444444444501' '0' -> '0.444444445' Inexact Rounded
subx320 subtract '0.44444444451' '0' -> '0.444444445' Inexact Rounded
-- some carrying effects
subx321 subtract '0.9998' '0.0000' -> '0.9998'
subx322 subtract '0.9998' '0.0001' -> '0.9997'
subx323 subtract '0.9998' '0.0002' -> '0.9996'
subx324 subtract '0.9998' '0.0003' -> '0.9995'
subx325 subtract '0.9998' '-0.0000' -> '0.9998'
subx326 subtract '0.9998' '-0.0001' -> '0.9999'
subx327 subtract '0.9998' '-0.0002' -> '1.0000'
subx328 subtract '0.9998' '-0.0003' -> '1.0001'
subx330 subtract '70' '10000e+9' -> '-1.00000000E+13' Inexact Rounded
subx331 subtract '700' '10000e+9' -> '-1.00000000E+13' Inexact Rounded
subx332 subtract '7000' '10000e+9' -> '-9.99999999E+12' Inexact Rounded
subx333 subtract '70000' '10000e+9' -> '-9.99999993E+12' Rounded
subx334 subtract '700000' '10000e+9' -> '-9.99999930E+12' Rounded
subx335 subtract '7000000' '10000e+9' -> '-9.99999300E+12' Rounded
-- symmetry:
subx340 subtract '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
subx341 subtract '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
subx342 subtract '10000e+9' '7000' -> '9.99999999E+12' Inexact Rounded
subx343 subtract '10000e+9' '70000' -> '9.99999993E+12' Rounded
subx344 subtract '10000e+9' '700000' -> '9.99999930E+12' Rounded
subx345 subtract '10000e+9' '7000000' -> '9.99999300E+12' Rounded
-- same, higher precision
precision: 15
subx346 subtract '10000e+9' '7' -> '9999999999993'
subx347 subtract '10000e+9' '70' -> '9999999999930'
subx348 subtract '10000e+9' '700' -> '9999999999300'
subx349 subtract '10000e+9' '7000' -> '9999999993000'
subx350 subtract '10000e+9' '70000' -> '9999999930000'
subx351 subtract '10000e+9' '700000' -> '9999999300000'
subx352 subtract '7' '10000e+9' -> '-9999999999993'
subx353 subtract '70' '10000e+9' -> '-9999999999930'
subx354 subtract '700' '10000e+9' -> '-9999999999300'
subx355 subtract '7000' '10000e+9' -> '-9999999993000'
subx356 subtract '70000' '10000e+9' -> '-9999999930000'
subx357 subtract '700000' '10000e+9' -> '-9999999300000'
-- zero preservation
precision: 6
subx360 subtract '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
subx361 subtract 1 '0.0001' -> '0.9999'
subx362 subtract 1 '0.00001' -> '0.99999'
subx363 subtract 1 '0.000001' -> '0.999999'
subx364 subtract 1 '0.0000001' -> '1.00000' Inexact Rounded
subx365 subtract 1 '0.00000001' -> '1.00000' Inexact Rounded
-- some funny zeros [in case of bad signum]
subx370 subtract 1 0 -> 1
subx371 subtract 1 0. -> 1
subx372 subtract 1 .0 -> 1.0
subx373 subtract 1 0.0 -> 1.0
subx374 subtract 0 1 -> -1
subx375 subtract 0. 1 -> -1
subx376 subtract .0 1 -> -1.0
subx377 subtract 0.0 1 -> -1.0
precision: 9
-- leading 0 digit before round
subx910 subtract -103519362 -51897955.3 -> -51621406.7
subx911 subtract 159579.444 89827.5229 -> 69751.9211
subx920 subtract 333.123456 33.1234566 -> 299.999999 Inexact Rounded
subx921 subtract 333.123456 33.1234565 -> 300.000000 Inexact Rounded
subx922 subtract 133.123456 33.1234565 -> 99.9999995
subx923 subtract 133.123456 33.1234564 -> 99.9999996
subx924 subtract 133.123456 33.1234540 -> 100.000002 Rounded
subx925 subtract 133.123456 43.1234560 -> 90.0000000
subx926 subtract 133.123456 43.1234561 -> 89.9999999
subx927 subtract 133.123456 43.1234566 -> 89.9999994
subx928 subtract 101.123456 91.1234566 -> 9.9999994
subx929 subtract 101.123456 99.1234566 -> 1.9999994
-- more of the same; probe for cluster boundary problems
precision: 1
subx930 subtract 11 2 -> 9
precision: 2
subx932 subtract 101 2 -> 99
precision: 3
subx934 subtract 101 2.1 -> 98.9
subx935 subtract 101 92.01 -> 8.99
precision: 4
subx936 subtract 101 2.01 -> 98.99
subx937 subtract 101 92.01 -> 8.99
subx938 subtract 101 92.006 -> 8.994
precision: 5
subx939 subtract 101 2.001 -> 98.999
subx940 subtract 101 92.001 -> 8.999
subx941 subtract 101 92.0006 -> 8.9994
precision: 6
subx942 subtract 101 2.0001 -> 98.9999
subx943 subtract 101 92.0001 -> 8.9999
subx944 subtract 101 92.00006 -> 8.99994
precision: 7
subx945 subtract 101 2.00001 -> 98.99999
subx946 subtract 101 92.00001 -> 8.99999
subx947 subtract 101 92.000006 -> 8.999994
precision: 8
subx948 subtract 101 2.000001 -> 98.999999
subx949 subtract 101 92.000001 -> 8.999999
subx950 subtract 101 92.0000006 -> 8.9999994
precision: 9
subx951 subtract 101 2.0000001 -> 98.9999999
subx952 subtract 101 92.0000001 -> 8.9999999
subx953 subtract 101 92.00000006 -> 8.99999994
precision: 9
-- more LHS swaps [were fixed]
subx390 subtract '-56267E-10' 0 -> '-0.0000056267'
subx391 subtract '-56267E-6' 0 -> '-0.056267'
subx392 subtract '-56267E-5' 0 -> '-0.56267'
subx393 subtract '-56267E-4' 0 -> '-5.6267'
subx394 subtract '-56267E-3' 0 -> '-56.267'
subx395 subtract '-56267E-2' 0 -> '-562.67'
subx396 subtract '-56267E-1' 0 -> '-5626.7'
subx397 subtract '-56267E-0' 0 -> '-56267'
subx398 subtract '-5E-10' 0 -> '-5E-10'
subx399 subtract '-5E-7' 0 -> '-5E-7'
subx400 subtract '-5E-6' 0 -> '-0.000005'
subx401 subtract '-5E-5' 0 -> '-0.00005'
subx402 subtract '-5E-4' 0 -> '-0.0005'
subx403 subtract '-5E-1' 0 -> '-0.5'
subx404 subtract '-5E0' 0 -> '-5'
subx405 subtract '-5E1' 0 -> '-50'
subx406 subtract '-5E5' 0 -> '-500000'
subx407 subtract '-5E8' 0 -> '-500000000'
subx408 subtract '-5E9' 0 -> '-5.00000000E+9' Rounded
subx409 subtract '-5E10' 0 -> '-5.00000000E+10' Rounded
subx410 subtract '-5E11' 0 -> '-5.00000000E+11' Rounded
subx411 subtract '-5E100' 0 -> '-5.00000000E+100' Rounded
-- more RHS swaps [were fixed]
subx420 subtract 0 '-56267E-10' -> '0.0000056267'
subx421 subtract 0 '-56267E-6' -> '0.056267'
subx422 subtract 0 '-56267E-5' -> '0.56267'
subx423 subtract 0 '-56267E-4' -> '5.6267'
subx424 subtract 0 '-56267E-3' -> '56.267'
subx425 subtract 0 '-56267E-2' -> '562.67'
subx426 subtract 0 '-56267E-1' -> '5626.7'
subx427 subtract 0 '-56267E-0' -> '56267'
subx428 subtract 0 '-5E-10' -> '5E-10'
subx429 subtract 0 '-5E-7' -> '5E-7'
subx430 subtract 0 '-5E-6' -> '0.000005'
subx431 subtract 0 '-5E-5' -> '0.00005'
subx432 subtract 0 '-5E-4' -> '0.0005'
subx433 subtract 0 '-5E-1' -> '0.5'
subx434 subtract 0 '-5E0' -> '5'
subx435 subtract 0 '-5E1' -> '50'
subx436 subtract 0 '-5E5' -> '500000'
subx437 subtract 0 '-5E8' -> '500000000'
subx438 subtract 0 '-5E9' -> '5.00000000E+9' Rounded
subx439 subtract 0 '-5E10' -> '5.00000000E+10' Rounded
subx440 subtract 0 '-5E11' -> '5.00000000E+11' Rounded
subx441 subtract 0 '-5E100' -> '5.00000000E+100' Rounded
-- try borderline precision, with carries, etc.
precision: 15
subx461 subtract '1E+12' '1' -> '999999999999'
subx462 subtract '1E+12' '-1.11' -> '1000000000001.11'
subx463 subtract '1.11' '-1E+12' -> '1000000000001.11'
subx464 subtract '-1' '-1E+12' -> '999999999999'
subx465 subtract '7E+12' '1' -> '6999999999999'
subx466 subtract '7E+12' '-1.11' -> '7000000000001.11'
subx467 subtract '1.11' '-7E+12' -> '7000000000001.11'
subx468 subtract '-1' '-7E+12' -> '6999999999999'
-- 123456789012345 123456789012345 1 23456789012345
subx470 subtract '0.444444444444444' '-0.555555555555563' -> '1.00000000000001' Inexact Rounded
subx471 subtract '0.444444444444444' '-0.555555555555562' -> '1.00000000000001' Inexact Rounded
subx472 subtract '0.444444444444444' '-0.555555555555561' -> '1.00000000000001' Inexact Rounded
subx473 subtract '0.444444444444444' '-0.555555555555560' -> '1.00000000000000' Inexact Rounded
subx474 subtract '0.444444444444444' '-0.555555555555559' -> '1.00000000000000' Inexact Rounded
subx475 subtract '0.444444444444444' '-0.555555555555558' -> '1.00000000000000' Inexact Rounded
subx476 subtract '0.444444444444444' '-0.555555555555557' -> '1.00000000000000' Inexact Rounded
subx477 subtract '0.444444444444444' '-0.555555555555556' -> '1.00000000000000' Rounded
subx478 subtract '0.444444444444444' '-0.555555555555555' -> '0.999999999999999'
subx479 subtract '0.444444444444444' '-0.555555555555554' -> '0.999999999999998'
subx480 subtract '0.444444444444444' '-0.555555555555553' -> '0.999999999999997'
subx481 subtract '0.444444444444444' '-0.555555555555552' -> '0.999999999999996'
subx482 subtract '0.444444444444444' '-0.555555555555551' -> '0.999999999999995'
subx483 subtract '0.444444444444444' '-0.555555555555550' -> '0.999999999999994'
-- and some more, including residue effects and different roundings
precision: 9
rounding: half_up
subx500 subtract '123456789' 0 -> '123456789'
subx501 subtract '123456789' 0.000000001 -> '123456789' Inexact Rounded
subx502 subtract '123456789' 0.000001 -> '123456789' Inexact Rounded
subx503 subtract '123456789' 0.1 -> '123456789' Inexact Rounded
subx504 subtract '123456789' 0.4 -> '123456789' Inexact Rounded
subx505 subtract '123456789' 0.49 -> '123456789' Inexact Rounded
subx506 subtract '123456789' 0.499999 -> '123456789' Inexact Rounded
subx507 subtract '123456789' 0.499999999 -> '123456789' Inexact Rounded
subx508 subtract '123456789' 0.5 -> '123456789' Inexact Rounded
subx509 subtract '123456789' 0.500000001 -> '123456788' Inexact Rounded
subx510 subtract '123456789' 0.500001 -> '123456788' Inexact Rounded
subx511 subtract '123456789' 0.51 -> '123456788' Inexact Rounded
subx512 subtract '123456789' 0.6 -> '123456788' Inexact Rounded
subx513 subtract '123456789' 0.9 -> '123456788' Inexact Rounded
subx514 subtract '123456789' 0.99999 -> '123456788' Inexact Rounded
subx515 subtract '123456789' 0.999999999 -> '123456788' Inexact Rounded
subx516 subtract '123456789' 1 -> '123456788'
subx517 subtract '123456789' 1.000000001 -> '123456788' Inexact Rounded
subx518 subtract '123456789' 1.00001 -> '123456788' Inexact Rounded
subx519 subtract '123456789' 1.1 -> '123456788' Inexact Rounded
rounding: half_even
subx520 subtract '123456789' 0 -> '123456789'
subx521 subtract '123456789' 0.000000001 -> '123456789' Inexact Rounded
subx522 subtract '123456789' 0.000001 -> '123456789' Inexact Rounded
subx523 subtract '123456789' 0.1 -> '123456789' Inexact Rounded
subx524 subtract '123456789' 0.4 -> '123456789' Inexact Rounded
subx525 subtract '123456789' 0.49 -> '123456789' Inexact Rounded
subx526 subtract '123456789' 0.499999 -> '123456789' Inexact Rounded
subx527 subtract '123456789' 0.499999999 -> '123456789' Inexact Rounded
subx528 subtract '123456789' 0.5 -> '123456788' Inexact Rounded
subx529 subtract '123456789' 0.500000001 -> '123456788' Inexact Rounded
subx530 subtract '123456789' 0.500001 -> '123456788' Inexact Rounded
subx531 subtract '123456789' 0.51 -> '123456788' Inexact Rounded
subx532 subtract '123456789' 0.6 -> '123456788' Inexact Rounded
subx533 subtract '123456789' 0.9 -> '123456788' Inexact Rounded
subx534 subtract '123456789' 0.99999 -> '123456788' Inexact Rounded
subx535 subtract '123456789' 0.999999999 -> '123456788' Inexact Rounded
subx536 subtract '123456789' 1 -> '123456788'
subx537 subtract '123456789' 1.00000001 -> '123456788' Inexact Rounded
subx538 subtract '123456789' 1.00001 -> '123456788' Inexact Rounded
subx539 subtract '123456789' 1.1 -> '123456788' Inexact Rounded
-- critical few with even bottom digit...
subx540 subtract '123456788' 0.499999999 -> '123456788' Inexact Rounded
subx541 subtract '123456788' 0.5 -> '123456788' Inexact Rounded
subx542 subtract '123456788' 0.500000001 -> '123456787' Inexact Rounded
rounding: down
subx550 subtract '123456789' 0 -> '123456789'
subx551 subtract '123456789' 0.000000001 -> '123456788' Inexact Rounded
subx552 subtract '123456789' 0.000001 -> '123456788' Inexact Rounded
subx553 subtract '123456789' 0.1 -> '123456788' Inexact Rounded
subx554 subtract '123456789' 0.4 -> '123456788' Inexact Rounded
subx555 subtract '123456789' 0.49 -> '123456788' Inexact Rounded
subx556 subtract '123456789' 0.499999 -> '123456788' Inexact Rounded
subx557 subtract '123456789' 0.499999999 -> '123456788' Inexact Rounded
subx558 subtract '123456789' 0.5 -> '123456788' Inexact Rounded
subx559 subtract '123456789' 0.500000001 -> '123456788' Inexact Rounded
subx560 subtract '123456789' 0.500001 -> '123456788' Inexact Rounded
subx561 subtract '123456789' 0.51 -> '123456788' Inexact Rounded
subx562 subtract '123456789' 0.6 -> '123456788' Inexact Rounded
subx563 subtract '123456789' 0.9 -> '123456788' Inexact Rounded
subx564 subtract '123456789' 0.99999 -> '123456788' Inexact Rounded
subx565 subtract '123456789' 0.999999999 -> '123456788' Inexact Rounded
subx566 subtract '123456789' 1 -> '123456788'
subx567 subtract '123456789' 1.00000001 -> '123456787' Inexact Rounded
subx568 subtract '123456789' 1.00001 -> '123456787' Inexact Rounded
subx569 subtract '123456789' 1.1 -> '123456787' Inexact Rounded
-- symmetry...
rounding: half_up
subx600 subtract 0 '123456789' -> '-123456789'
subx601 subtract 0.000000001 '123456789' -> '-123456789' Inexact Rounded
subx602 subtract 0.000001 '123456789' -> '-123456789' Inexact Rounded
subx603 subtract 0.1 '123456789' -> '-123456789' Inexact Rounded
subx604 subtract 0.4 '123456789' -> '-123456789' Inexact Rounded
subx605 subtract 0.49 '123456789' -> '-123456789' Inexact Rounded
subx606 subtract 0.499999 '123456789' -> '-123456789' Inexact Rounded
subx607 subtract 0.499999999 '123456789' -> '-123456789' Inexact Rounded
subx608 subtract 0.5 '123456789' -> '-123456789' Inexact Rounded
subx609 subtract 0.500000001 '123456789' -> '-123456788' Inexact Rounded
subx610 subtract 0.500001 '123456789' -> '-123456788' Inexact Rounded
subx611 subtract 0.51 '123456789' -> '-123456788' Inexact Rounded
subx612 subtract 0.6 '123456789' -> '-123456788' Inexact Rounded
subx613 subtract 0.9 '123456789' -> '-123456788' Inexact Rounded
subx614 subtract 0.99999 '123456789' -> '-123456788' Inexact Rounded
subx615 subtract 0.999999999 '123456789' -> '-123456788' Inexact Rounded
subx616 subtract 1 '123456789' -> '-123456788'
subx617 subtract 1.000000001 '123456789' -> '-123456788' Inexact Rounded
subx618 subtract 1.00001 '123456789' -> '-123456788' Inexact Rounded
subx619 subtract 1.1 '123456789' -> '-123456788' Inexact Rounded
rounding: half_even
subx620 subtract 0 '123456789' -> '-123456789'
subx621 subtract 0.000000001 '123456789' -> '-123456789' Inexact Rounded
subx622 subtract 0.000001 '123456789' -> '-123456789' Inexact Rounded
subx623 subtract 0.1 '123456789' -> '-123456789' Inexact Rounded
subx624 subtract 0.4 '123456789' -> '-123456789' Inexact Rounded
subx625 subtract 0.49 '123456789' -> '-123456789' Inexact Rounded
subx626 subtract 0.499999 '123456789' -> '-123456789' Inexact Rounded
subx627 subtract 0.499999999 '123456789' -> '-123456789' Inexact Rounded
subx628 subtract 0.5 '123456789' -> '-123456788' Inexact Rounded
subx629 subtract 0.500000001 '123456789' -> '-123456788' Inexact Rounded
subx630 subtract 0.500001 '123456789' -> '-123456788' Inexact Rounded
subx631 subtract 0.51 '123456789' -> '-123456788' Inexact Rounded
subx632 subtract 0.6 '123456789' -> '-123456788' Inexact Rounded
subx633 subtract 0.9 '123456789' -> '-123456788' Inexact Rounded
subx634 subtract 0.99999 '123456789' -> '-123456788' Inexact Rounded
subx635 subtract 0.999999999 '123456789' -> '-123456788' Inexact Rounded
subx636 subtract 1 '123456789' -> '-123456788'
subx637 subtract 1.00000001 '123456789' -> '-123456788' Inexact Rounded
subx638 subtract 1.00001 '123456789' -> '-123456788' Inexact Rounded
subx639 subtract 1.1 '123456789' -> '-123456788' Inexact Rounded
-- critical few with even bottom digit...
subx640 subtract 0.499999999 '123456788' -> '-123456788' Inexact Rounded
subx641 subtract 0.5 '123456788' -> '-123456788' Inexact Rounded
subx642 subtract 0.500000001 '123456788' -> '-123456787' Inexact Rounded
rounding: down
subx650 subtract 0 '123456789' -> '-123456789'
subx651 subtract 0.000000001 '123456789' -> '-123456788' Inexact Rounded
subx652 subtract 0.000001 '123456789' -> '-123456788' Inexact Rounded
subx653 subtract 0.1 '123456789' -> '-123456788' Inexact Rounded
subx654 subtract 0.4 '123456789' -> '-123456788' Inexact Rounded
subx655 subtract 0.49 '123456789' -> '-123456788' Inexact Rounded
subx656 subtract 0.499999 '123456789' -> '-123456788' Inexact Rounded
subx657 subtract 0.499999999 '123456789' -> '-123456788' Inexact Rounded
subx658 subtract 0.5 '123456789' -> '-123456788' Inexact Rounded
subx659 subtract 0.500000001 '123456789' -> '-123456788' Inexact Rounded
subx660 subtract 0.500001 '123456789' -> '-123456788' Inexact Rounded
subx661 subtract 0.51 '123456789' -> '-123456788' Inexact Rounded
subx662 subtract 0.6 '123456789' -> '-123456788' Inexact Rounded
subx663 subtract 0.9 '123456789' -> '-123456788' Inexact Rounded
subx664 subtract 0.99999 '123456789' -> '-123456788' Inexact Rounded
subx665 subtract 0.999999999 '123456789' -> '-123456788' Inexact Rounded
subx666 subtract 1 '123456789' -> '-123456788'
subx667 subtract 1.00000001 '123456789' -> '-123456787' Inexact Rounded
subx668 subtract 1.00001 '123456789' -> '-123456787' Inexact Rounded
subx669 subtract 1.1 '123456789' -> '-123456787' Inexact Rounded
-- lots of leading zeros in intermediate result, and showing effects of
-- input rounding would have affected the following
precision: 9
rounding: half_up
subx670 subtract '123456789' '123456788.1' -> 0.9
subx671 subtract '123456789' '123456788.9' -> 0.1
subx672 subtract '123456789' '123456789.1' -> -0.1
subx673 subtract '123456789' '123456789.5' -> -0.5
subx674 subtract '123456789' '123456789.9' -> -0.9
rounding: half_even
subx680 subtract '123456789' '123456788.1' -> 0.9
subx681 subtract '123456789' '123456788.9' -> 0.1
subx682 subtract '123456789' '123456789.1' -> -0.1
subx683 subtract '123456789' '123456789.5' -> -0.5
subx684 subtract '123456789' '123456789.9' -> -0.9
subx685 subtract '123456788' '123456787.1' -> 0.9
subx686 subtract '123456788' '123456787.9' -> 0.1
subx687 subtract '123456788' '123456788.1' -> -0.1
subx688 subtract '123456788' '123456788.5' -> -0.5
subx689 subtract '123456788' '123456788.9' -> -0.9
rounding: down
subx690 subtract '123456789' '123456788.1' -> 0.9
subx691 subtract '123456789' '123456788.9' -> 0.1
subx692 subtract '123456789' '123456789.1' -> -0.1
subx693 subtract '123456789' '123456789.5' -> -0.5
subx694 subtract '123456789' '123456789.9' -> -0.9
-- input preparation tests
rounding: half_up
precision: 3
subx700 subtract '12345678900000' -9999999999999 -> '2.23E+13' Inexact Rounded
subx701 subtract '9999999999999' -12345678900000 -> '2.23E+13' Inexact Rounded
subx702 subtract '12E+3' '-3456' -> '1.55E+4' Inexact Rounded
subx703 subtract '12E+3' '-3446' -> '1.54E+4' Inexact Rounded
subx704 subtract '12E+3' '-3454' -> '1.55E+4' Inexact Rounded
subx705 subtract '12E+3' '-3444' -> '1.54E+4' Inexact Rounded
subx706 subtract '3456' '-12E+3' -> '1.55E+4' Inexact Rounded
subx707 subtract '3446' '-12E+3' -> '1.54E+4' Inexact Rounded
subx708 subtract '3454' '-12E+3' -> '1.55E+4' Inexact Rounded
subx709 subtract '3444' '-12E+3' -> '1.54E+4' Inexact Rounded
-- overflow and underflow tests [subnormals now possible]
maxexponent: 999999999
minexponent: -999999999
precision: 9
rounding: down
subx710 subtract 1E+999999999 -9E+999999999 -> 9.99999999E+999999999 Overflow Inexact Rounded
subx711 subtract 9E+999999999 -1E+999999999 -> 9.99999999E+999999999 Overflow Inexact Rounded
rounding: half_up
subx712 subtract 1E+999999999 -9E+999999999 -> Infinity Overflow Inexact Rounded
subx713 subtract 9E+999999999 -1E+999999999 -> Infinity Overflow Inexact Rounded
subx714 subtract -1.1E-999999999 -1E-999999999 -> -1E-1000000000 Subnormal
subx715 subtract 1E-999999999 +1.1e-999999999 -> -1E-1000000000 Subnormal
subx716 subtract -1E+999999999 +9E+999999999 -> -Infinity Overflow Inexact Rounded
subx717 subtract -9E+999999999 +1E+999999999 -> -Infinity Overflow Inexact Rounded
subx718 subtract +1.1E-999999999 +1E-999999999 -> 1E-1000000000 Subnormal
subx719 subtract -1E-999999999 -1.1e-999999999 -> 1E-1000000000 Subnormal
precision: 3
subx720 subtract 1 9.999E+999999999 -> -Infinity Inexact Overflow Rounded
subx721 subtract 1 -9.999E+999999999 -> Infinity Inexact Overflow Rounded
subx722 subtract 9.999E+999999999 1 -> Infinity Inexact Overflow Rounded
subx723 subtract -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded
subx724 subtract 1 9.999E+999999999 -> -Infinity Inexact Overflow Rounded
subx725 subtract 1 -9.999E+999999999 -> Infinity Inexact Overflow Rounded
subx726 subtract 9.999E+999999999 1 -> Infinity Inexact Overflow Rounded
subx727 subtract -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded
-- [more below]
-- long operand checks
maxexponent: 999
minexponent: -999
precision: 9
sub731 subtract 12345678000 0 -> 1.23456780E+10 Rounded
sub732 subtract 0 12345678000 -> -1.23456780E+10 Rounded
sub733 subtract 1234567800 0 -> 1.23456780E+9 Rounded
sub734 subtract 0 1234567800 -> -1.23456780E+9 Rounded
sub735 subtract 1234567890 0 -> 1.23456789E+9 Rounded
sub736 subtract 0 1234567890 -> -1.23456789E+9 Rounded
sub737 subtract 1234567891 0 -> 1.23456789E+9 Inexact Rounded
sub738 subtract 0 1234567891 -> -1.23456789E+9 Inexact Rounded
sub739 subtract 12345678901 0 -> 1.23456789E+10 Inexact Rounded
sub740 subtract 0 12345678901 -> -1.23456789E+10 Inexact Rounded
sub741 subtract 1234567896 0 -> 1.23456790E+9 Inexact Rounded
sub742 subtract 0 1234567896 -> -1.23456790E+9 Inexact Rounded
precision: 15
sub751 subtract 12345678000 0 -> 12345678000
sub752 subtract 0 12345678000 -> -12345678000
sub753 subtract 1234567800 0 -> 1234567800
sub754 subtract 0 1234567800 -> -1234567800
sub755 subtract 1234567890 0 -> 1234567890
sub756 subtract 0 1234567890 -> -1234567890
sub757 subtract 1234567891 0 -> 1234567891
sub758 subtract 0 1234567891 -> -1234567891
sub759 subtract 12345678901 0 -> 12345678901
sub760 subtract 0 12345678901 -> -12345678901
sub761 subtract 1234567896 0 -> 1234567896
sub762 subtract 0 1234567896 -> -1234567896
-- Specials
subx780 subtract -Inf Inf -> -Infinity
subx781 subtract -Inf 1000 -> -Infinity
subx782 subtract -Inf 1 -> -Infinity
subx783 subtract -Inf -0 -> -Infinity
subx784 subtract -Inf -1 -> -Infinity
subx785 subtract -Inf -1000 -> -Infinity
subx787 subtract -1000 Inf -> -Infinity
subx788 subtract -Inf Inf -> -Infinity
subx789 subtract -1 Inf -> -Infinity
subx790 subtract 0 Inf -> -Infinity
subx791 subtract 1 Inf -> -Infinity
subx792 subtract 1000 Inf -> -Infinity
subx800 subtract Inf Inf -> NaN Invalid_operation
subx801 subtract Inf 1000 -> Infinity
subx802 subtract Inf 1 -> Infinity
subx803 subtract Inf 0 -> Infinity
subx804 subtract Inf -0 -> Infinity
subx805 subtract Inf -1 -> Infinity
subx806 subtract Inf -1000 -> Infinity
subx807 subtract Inf -Inf -> Infinity
subx808 subtract -1000 -Inf -> Infinity
subx809 subtract -Inf -Inf -> NaN Invalid_operation
subx810 subtract -1 -Inf -> Infinity
subx811 subtract -0 -Inf -> Infinity
subx812 subtract 0 -Inf -> Infinity
subx813 subtract 1 -Inf -> Infinity
subx814 subtract 1000 -Inf -> Infinity
subx815 subtract Inf -Inf -> Infinity
subx821 subtract NaN Inf -> NaN
subx822 subtract -NaN 1000 -> -NaN
subx823 subtract NaN 1 -> NaN
subx824 subtract NaN 0 -> NaN
subx825 subtract NaN -0 -> NaN
subx826 subtract NaN -1 -> NaN
subx827 subtract NaN -1000 -> NaN
subx828 subtract NaN -Inf -> NaN
subx829 subtract -NaN NaN -> -NaN
subx830 subtract -Inf NaN -> NaN
subx831 subtract -1000 NaN -> NaN
subx832 subtract -1 NaN -> NaN
subx833 subtract -0 NaN -> NaN
subx834 subtract 0 NaN -> NaN
subx835 subtract 1 NaN -> NaN
subx836 subtract 1000 -NaN -> -NaN
subx837 subtract Inf NaN -> NaN
subx841 subtract sNaN Inf -> NaN Invalid_operation
subx842 subtract -sNaN 1000 -> -NaN Invalid_operation
subx843 subtract sNaN 1 -> NaN Invalid_operation
subx844 subtract sNaN 0 -> NaN Invalid_operation
subx845 subtract sNaN -0 -> NaN Invalid_operation
subx846 subtract sNaN -1 -> NaN Invalid_operation
subx847 subtract sNaN -1000 -> NaN Invalid_operation
subx848 subtract sNaN NaN -> NaN Invalid_operation
subx849 subtract sNaN sNaN -> NaN Invalid_operation
subx850 subtract NaN sNaN -> NaN Invalid_operation
subx851 subtract -Inf -sNaN -> -NaN Invalid_operation
subx852 subtract -1000 sNaN -> NaN Invalid_operation
subx853 subtract -1 sNaN -> NaN Invalid_operation
subx854 subtract -0 sNaN -> NaN Invalid_operation
subx855 subtract 0 sNaN -> NaN Invalid_operation
subx856 subtract 1 sNaN -> NaN Invalid_operation
subx857 subtract 1000 sNaN -> NaN Invalid_operation
subx858 subtract Inf sNaN -> NaN Invalid_operation
subx859 subtract NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
subx861 subtract NaN01 -Inf -> NaN1
subx862 subtract -NaN02 -1000 -> -NaN2
subx863 subtract NaN03 1000 -> NaN3
subx864 subtract NaN04 Inf -> NaN4
subx865 subtract NaN05 NaN61 -> NaN5
subx866 subtract -Inf -NaN71 -> -NaN71
subx867 subtract -1000 NaN81 -> NaN81
subx868 subtract 1000 NaN91 -> NaN91
subx869 subtract Inf NaN101 -> NaN101
subx871 subtract sNaN011 -Inf -> NaN11 Invalid_operation
subx872 subtract sNaN012 -1000 -> NaN12 Invalid_operation
subx873 subtract -sNaN013 1000 -> -NaN13 Invalid_operation
subx874 subtract sNaN014 NaN171 -> NaN14 Invalid_operation
subx875 subtract sNaN015 sNaN181 -> NaN15 Invalid_operation
subx876 subtract NaN016 sNaN191 -> NaN191 Invalid_operation
subx877 subtract -Inf sNaN201 -> NaN201 Invalid_operation
subx878 subtract -1000 sNaN211 -> NaN211 Invalid_operation
subx879 subtract 1000 -sNaN221 -> -NaN221 Invalid_operation
subx880 subtract Inf sNaN231 -> NaN231 Invalid_operation
subx881 subtract NaN025 sNaN241 -> NaN241 Invalid_operation
-- edge case spills
subx901 subtract 2.E-3 1.002 -> -1.000
subx902 subtract 2.0E-3 1.002 -> -1.0000
subx903 subtract 2.00E-3 1.0020 -> -1.00000
subx904 subtract 2.000E-3 1.00200 -> -1.000000
subx905 subtract 2.0000E-3 1.002000 -> -1.0000000
subx906 subtract 2.00000E-3 1.0020000 -> -1.00000000
subx907 subtract 2.000000E-3 1.00200000 -> -1.000000000
subx908 subtract 2.0000000E-3 1.002000000 -> -1.0000000000
-- subnormals and underflows
precision: 3
maxexponent: 999
minexponent: -999
subx1010 subtract 0 1.00E-999 -> -1.00E-999
subx1011 subtract 0 0.1E-999 -> -1E-1000 Subnormal
subx1012 subtract 0 0.10E-999 -> -1.0E-1000 Subnormal
subx1013 subtract 0 0.100E-999 -> -1.0E-1000 Subnormal Rounded
subx1014 subtract 0 0.01E-999 -> -1E-1001 Subnormal
-- next is rounded to Emin
subx1015 subtract 0 0.999E-999 -> -1.00E-999 Inexact Rounded Subnormal Underflow
subx1016 subtract 0 0.099E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
subx1017 subtract 0 0.009E-999 -> -1E-1001 Inexact Rounded Subnormal Underflow
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
subx1018 subtract 0 0.001E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
subx1019 subtract 0 0.0009E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
subx1020 subtract 0 0.0001E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
subx1030 subtract 0 -1.00E-999 -> 1.00E-999
subx1031 subtract 0 -0.1E-999 -> 1E-1000 Subnormal
subx1032 subtract 0 -0.10E-999 -> 1.0E-1000 Subnormal
subx1033 subtract 0 -0.100E-999 -> 1.0E-1000 Subnormal Rounded
subx1034 subtract 0 -0.01E-999 -> 1E-1001 Subnormal
-- next is rounded to Emin
subx1035 subtract 0 -0.999E-999 -> 1.00E-999 Inexact Rounded Subnormal Underflow
subx1036 subtract 0 -0.099E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
subx1037 subtract 0 -0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
subx1038 subtract 0 -0.001E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
subx1039 subtract 0 -0.0009E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
subx1040 subtract 0 -0.0001E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- some non-zero subnormal subtracts
-- subx1056 is a tricky case
rounding: half_up
subx1050 subtract 1.00E-999 0.1E-999 -> 9.0E-1000 Subnormal
subx1051 subtract 0.1E-999 0.1E-999 -> 0E-1000
subx1052 subtract 0.10E-999 0.1E-999 -> 0E-1001
subx1053 subtract 0.100E-999 0.1E-999 -> 0E-1001 Clamped
subx1054 subtract 0.01E-999 0.1E-999 -> -9E-1001 Subnormal
subx1055 subtract 0.999E-999 0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
subx1056 subtract 0.099E-999 0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
subx1057 subtract 0.009E-999 0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
subx1058 subtract 0.001E-999 0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
subx1059 subtract 0.0009E-999 0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
subx1060 subtract 0.0001E-999 0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
-- check for double-rounded subnormals
precision: 5
maxexponent: 79
minexponent: -79
subx1101 subtract 0 1.52444E-80 -> -1.524E-80 Inexact Rounded Subnormal Underflow
subx1102 subtract 0 1.52445E-80 -> -1.524E-80 Inexact Rounded Subnormal Underflow
subx1103 subtract 0 1.52446E-80 -> -1.524E-80 Inexact Rounded Subnormal Underflow
subx1104 subtract 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
subx1105 subtract 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
subx1106 subtract 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
subx1111 subtract 1.2345678E-80 1.2345671E-80 -> 0E-83 Inexact Rounded Subnormal Underflow Clamped
subx1112 subtract 1.2345678E-80 1.2345618E-80 -> 0E-83 Inexact Rounded Subnormal Underflow Clamped
subx1113 subtract 1.2345678E-80 1.2345178E-80 -> 0E-83 Inexact Rounded Subnormal Underflow Clamped
subx1114 subtract 1.2345678E-80 1.2341678E-80 -> 0E-83 Inexact Rounded Subnormal Underflow Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
subx1115 subtract 1.2345678E-80 1.2315678E-80 -> 3E-83 Rounded Subnormal
subx1116 subtract 1.2345678E-80 1.2145678E-80 -> 2.0E-82 Rounded Subnormal
subx1117 subtract 1.2345678E-80 1.1345678E-80 -> 1.00E-81 Rounded Subnormal
subx1118 subtract 1.2345678E-80 0.2345678E-80 -> 1.000E-80 Rounded Subnormal
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
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precision: 34
rounding: half_up
maxExponent: 6144
minExponent: -6143
-- Examples from SQL proposal (Krishna Kulkarni)
subx1125 subtract 130E-2 120E-2 -> 0.10
subx1126 subtract 130E-2 12E-1 -> 0.10
subx1127 subtract 130E-2 1E0 -> 0.30
subx1128 subtract 1E2 1E4 -> -9.9E+3
Move Decimal from the sandbox into production.
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-- Null tests
subx9990 subtract 10 # -> NaN Invalid_operation
subx9991 subtract # 10 -> NaN Invalid_operation