------------------------------------------------------------------------ -- subtract.decTest -- decimal subtraction -- -- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. -- -- Parts copyright (c) IBM Corporation, 1981, 2008. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://speleotrove.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, mfc@speleotrove.com -- ------------------------------------------------------------------------ version: 2.62 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