| ------------------------------------------------------------------------ |
| -- 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 |
