diff options
Diffstat (limited to 'lib/python2.7/test/decimaltestdata/subtract.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/subtract.decTest | 873 |
1 files changed, 0 insertions, 873 deletions
diff --git a/lib/python2.7/test/decimaltestdata/subtract.decTest b/lib/python2.7/test/decimaltestdata/subtract.decTest deleted file mode 100644 index 7895217..0000000 --- a/lib/python2.7/test/decimaltestdata/subtract.decTest +++ /dev/null @@ -1,873 +0,0 @@ ------------------------------------------------------------------------- --- subtract.decTest -- decimal 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 - -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 -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 - -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 -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 - --- 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 -subx1056 subtract 0.099E-999 0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped -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 - -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 -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 - -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 - --- Null tests -subx9990 subtract 10 # -> NaN Invalid_operation -subx9991 subtract # 10 -> NaN Invalid_operation |