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- ------------------------------------------------------------------------
- -- subtract.decTest -- decimal subtraction --
- -- Copyright (c) IBM Corporation, 1981, 2004. 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: 2.39
-
- 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
- subx1019 subtract 0 0.0009E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow
- subx1020 subtract 0 0.0001E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow
-
- 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
- subx1039 subtract 0 -0.0009E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow
- subx1040 subtract 0 -0.0001E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow
-
- -- 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
- 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
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- subx1111 subtract 1.2345678E-80 1.2345671E-80 -> 0E-83 Inexact Rounded Subnormal Underflow
- subx1112 subtract 1.2345678E-80 1.2345618E-80 -> 0E-83 Inexact Rounded Subnormal Underflow
- subx1113 subtract 1.2345678E-80 1.2345178E-80 -> 0E-83 Inexact Rounded Subnormal Underflow
- subx1114 subtract 1.2345678E-80 1.2341678E-80 -> 0E-83 Inexact Rounded Subnormal Underflow
- 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
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- -- Null tests
- subx9990 subtract 10 # -> NaN Invalid_operation
- subx9991 subtract # 10 -> NaN Invalid_operation
-