diff options
Diffstat (limited to 'lib/python2.7/test/decimaltestdata/subtract.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/subtract.decTest | 873 |
1 files changed, 873 insertions, 0 deletions
diff --git a/lib/python2.7/test/decimaltestdata/subtract.decTest b/lib/python2.7/test/decimaltestdata/subtract.decTest new file mode 100644 index 0000000..7895217 --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/subtract.decTest @@ -0,0 +1,873 @@ +------------------------------------------------------------------------ +-- 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 |