------------------------------------------------------------------------ -- ddXor.decTest -- digitwise logical XOR for decDoubles -- -- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. -- -- Parts copyright (c) IBM Corporation, 1981, 2008. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://speleotrove.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, mfc@speleotrove.com -- ------------------------------------------------------------------------ version: 2.62 precision: 16 maxExponent: 384 minExponent: -383 extended: 1 clamp: 1 rounding: half_even -- Sanity check (truth table) ddxor001 xor 0 0 -> 0 ddxor002 xor 0 1 -> 1 ddxor003 xor 1 0 -> 1 ddxor004 xor 1 1 -> 0 ddxor005 xor 1100 1010 -> 110 -- and at msd and msd-1 ddxor006 xor 0000000000000000 0000000000000000 -> 0 ddxor007 xor 0000000000000000 1000000000000000 -> 1000000000000000 ddxor008 xor 1000000000000000 0000000000000000 -> 1000000000000000 ddxor009 xor 1000000000000000 1000000000000000 -> 0 ddxor010 xor 0000000000000000 0000000000000000 -> 0 ddxor011 xor 0000000000000000 0100000000000000 -> 100000000000000 ddxor012 xor 0100000000000000 0000000000000000 -> 100000000000000 ddxor013 xor 0100000000000000 0100000000000000 -> 0 -- Various lengths -- 1234567890123456 1234567890123456 1234567890123456 ddxor021 xor 1111111110000000 1111111110000000 -> 0 ddxor022 xor 111111110000000 111111110000000 -> 0 ddxor023 xor 11111110000000 11111110000000 -> 0 ddxor024 xor 1111110000000 1111110000000 -> 0 ddxor025 xor 111110000000 111110000000 -> 0 ddxor026 xor 11110000000 11110000000 -> 0 ddxor027 xor 1110000000 1110000000 -> 0 ddxor028 xor 110000000 110000000 -> 0 ddxor029 xor 10000000 10000000 -> 0 ddxor030 xor 1000000 1000000 -> 0 ddxor031 xor 100000 100000 -> 0 ddxor032 xor 10000 10000 -> 0 ddxor033 xor 1000 1000 -> 0 ddxor034 xor 100 100 -> 0 ddxor035 xor 10 10 -> 0 ddxor036 xor 1 1 -> 0 ddxor040 xor 111111111 111111111111 -> 111000000000 ddxor041 xor 11111111 111111111111 -> 111100000000 ddxor042 xor 11111111 111111111 -> 100000000 ddxor043 xor 1111111 100000010 -> 101111101 ddxor044 xor 111111 100000100 -> 100111011 ddxor045 xor 11111 100001000 -> 100010111 ddxor046 xor 1111 100010000 -> 100011111 ddxor047 xor 111 100100000 -> 100100111 ddxor048 xor 11 101000000 -> 101000011 ddxor049 xor 1 110000000 -> 110000001 ddxor050 xor 1111111111 1 -> 1111111110 ddxor051 xor 111111111 1 -> 111111110 ddxor052 xor 11111111 1 -> 11111110 ddxor053 xor 1111111 1 -> 1111110 ddxor054 xor 111111 1 -> 111110 ddxor055 xor 11111 1 -> 11110 ddxor056 xor 1111 1 -> 1110 ddxor057 xor 111 1 -> 110 ddxor058 xor 11 1 -> 10 ddxor059 xor 1 1 -> 0 ddxor060 xor 1111111111 0 -> 1111111111 ddxor061 xor 111111111 0 -> 111111111 ddxor062 xor 11111111 0 -> 11111111 ddxor063 xor 1111111 0 -> 1111111 ddxor064 xor 111111 0 -> 111111 ddxor065 xor 11111 0 -> 11111 ddxor066 xor 1111 0 -> 1111 ddxor067 xor 111 0 -> 111 ddxor068 xor 11 0 -> 11 ddxor069 xor 1 0 -> 1 ddxor070 xor 1 1111111111 -> 1111111110 ddxor071 xor 1 111111111 -> 111111110 ddxor072 xor 1 11111111 -> 11111110 ddxor073 xor 1 1111111 -> 1111110 ddxor074 xor 1 111111 -> 111110 ddxor075 xor 1 11111 -> 11110 ddxor076 xor 1 1111 -> 1110 ddxor077 xor 1 111 -> 110 ddxor078 xor 1 11 -> 10 ddxor079 xor 1 1 -> 0 ddxor080 xor 0 1111111111 -> 1111111111 ddxor081 xor 0 111111111 -> 111111111 ddxor082 xor 0 11111111 -> 11111111 ddxor083 xor 0 1111111 -> 1111111 ddxor084 xor 0 111111 -> 111111 ddxor085 xor 0 11111 -> 11111 ddxor086 xor 0 1111 -> 1111 ddxor087 xor 0 111 -> 111 ddxor088 xor 0 11 -> 11 ddxor089 xor 0 1 -> 1 ddxor090 xor 011111111 111101111 -> 100010000 ddxor091 xor 101111111 111101111 -> 10010000 ddxor092 xor 110111111 111101111 -> 1010000 ddxor093 xor 111011111 111101111 -> 110000 ddxor094 xor 111101111 111101111 -> 0 ddxor095 xor 111110111 111101111 -> 11000 ddxor096 xor 111111011 111101111 -> 10100 ddxor097 xor 111111101 111101111 -> 10010 ddxor098 xor 111111110 111101111 -> 10001 ddxor100 xor 111101111 011111111 -> 100010000 ddxor101 xor 111101111 101111111 -> 10010000 ddxor102 xor 111101111 110111111 -> 1010000 ddxor103 xor 111101111 111011111 -> 110000 ddxor104 xor 111101111 111101111 -> 0 ddxor105 xor 111101111 111110111 -> 11000 ddxor106 xor 111101111 111111011 -> 10100 ddxor107 xor 111101111 111111101 -> 10010 ddxor108 xor 111101111 111111110 -> 10001 -- non-0/1 should not be accepted, nor should signs ddxor220 xor 111111112 111111111 -> NaN Invalid_operation ddxor221 xor 333333333 333333333 -> NaN Invalid_operation ddxor222 xor 555555555 555555555 -> NaN Invalid_operation ddxor223 xor 777777777 777777777 -> NaN Invalid_operation ddxor224 xor 999999999 999999999 -> NaN Invalid_operation ddxor225 xor 222222222 999999999 -> NaN Invalid_operation ddxor226 xor 444444444 999999999 -> NaN Invalid_operation ddxor227 xor 666666666 999999999 -> NaN Invalid_operation ddxor228 xor 888888888 999999999 -> NaN Invalid_operation ddxor229 xor 999999999 222222222 -> NaN Invalid_operation ddxor230 xor 999999999 444444444 -> NaN Invalid_operation ddxor231 xor 999999999 666666666 -> NaN Invalid_operation ddxor232 xor 999999999 888888888 -> NaN Invalid_operation -- a few randoms ddxor240 xor 567468689 -934981942 -> NaN Invalid_operation ddxor241 xor 567367689 934981942 -> NaN Invalid_operation ddxor242 xor -631917772 -706014634 -> NaN Invalid_operation ddxor243 xor -756253257 138579234 -> NaN Invalid_operation ddxor244 xor 835590149 567435400 -> NaN Invalid_operation -- test MSD ddxor250 xor 2000000000000000 1000000000000000 -> NaN Invalid_operation ddxor251 xor 7000000000000000 1000000000000000 -> NaN Invalid_operation ddxor252 xor 8000000000000000 1000000000000000 -> NaN Invalid_operation ddxor253 xor 9000000000000000 1000000000000000 -> NaN Invalid_operation ddxor254 xor 2000000000000000 0000000000000000 -> NaN Invalid_operation ddxor255 xor 7000000000000000 0000000000000000 -> NaN Invalid_operation ddxor256 xor 8000000000000000 0000000000000000 -> NaN Invalid_operation ddxor257 xor 9000000000000000 0000000000000000 -> NaN Invalid_operation ddxor258 xor 1000000000000000 2000000000000000 -> NaN Invalid_operation ddxor259 xor 1000000000000000 7000000000000000 -> NaN Invalid_operation ddxor260 xor 1000000000000000 8000000000000000 -> NaN Invalid_operation ddxor261 xor 1000000000000000 9000000000000000 -> NaN Invalid_operation ddxor262 xor 0000000000000000 2000000000000000 -> NaN Invalid_operation ddxor263 xor 0000000000000000 7000000000000000 -> NaN Invalid_operation ddxor264 xor 0000000000000000 8000000000000000 -> NaN Invalid_operation ddxor265 xor 0000000000000000 9000000000000000 -> NaN Invalid_operation -- test MSD-1 ddxor270 xor 0200001000000000 1000100000000010 -> NaN Invalid_operation ddxor271 xor 0700000100000000 1000010000000100 -> NaN Invalid_operation ddxor272 xor 0800000010000000 1000001000001000 -> NaN Invalid_operation ddxor273 xor 0900000001000000 1000000100010000 -> NaN Invalid_operation ddxor274 xor 1000000000100000 0200000010100000 -> NaN Invalid_operation ddxor275 xor 1000000000010000 0700000001000000 -> NaN Invalid_operation ddxor276 xor 1000000000001000 0800000010100000 -> NaN Invalid_operation ddxor277 xor 1000000000000100 0900000000010000 -> NaN Invalid_operation -- test LSD ddxor280 xor 0010000000000002 1000000100000001 -> NaN Invalid_operation ddxor281 xor 0001000000000007 1000001000000011 -> NaN Invalid_operation ddxor282 xor 0000100000000008 1000010000000001 -> NaN Invalid_operation ddxor283 xor 0000010000000009 1000100000000001 -> NaN Invalid_operation ddxor284 xor 1000001000000000 0001000000000002 -> NaN Invalid_operation ddxor285 xor 1000000100000000 0010000000000007 -> NaN Invalid_operation ddxor286 xor 1000000010000000 0100000000000008 -> NaN Invalid_operation ddxor287 xor 1000000001000000 1000000000000009 -> NaN Invalid_operation -- test Middie ddxor288 xor 0010000020000000 1000001000000000 -> NaN Invalid_operation ddxor289 xor 0001000070000001 1000000100000000 -> NaN Invalid_operation ddxor290 xor 0000100080000010 1000000010000000 -> NaN Invalid_operation ddxor291 xor 0000010090000100 1000000001000000 -> NaN Invalid_operation ddxor292 xor 1000001000001000 0000000020100000 -> NaN Invalid_operation ddxor293 xor 1000000100010000 0000000070010000 -> NaN Invalid_operation ddxor294 xor 1000000010100000 0000000080001000 -> NaN Invalid_operation ddxor295 xor 1000000001000000 0000000090000100 -> NaN Invalid_operation -- signs ddxor296 xor -1000000001000000 -0000010000000100 -> NaN Invalid_operation ddxor297 xor -1000000001000000 0000000010000100 -> NaN Invalid_operation ddxor298 xor 1000000001000000 -0000001000000100 -> NaN Invalid_operation ddxor299 xor 1000000001000000 0000000011000100 -> 1000000010000100 -- Nmax, Nmin, Ntiny-like ddxor331 xor 2 9.99999999E+299 -> NaN Invalid_operation ddxor332 xor 3 1E-299 -> NaN Invalid_operation ddxor333 xor 4 1.00000000E-299 -> NaN Invalid_operation ddxor334 xor 5 1E-200 -> NaN Invalid_operation ddxor335 xor 6 -1E-200 -> NaN Invalid_operation ddxor336 xor 7 -1.00000000E-299 -> NaN Invalid_operation ddxor337 xor 8 -1E-299 -> NaN Invalid_operation ddxor338 xor 9 -9.99999999E+299 -> NaN Invalid_operation ddxor341 xor 9.99999999E+299 -18 -> NaN Invalid_operation ddxor342 xor 1E-299 01 -> NaN Invalid_operation ddxor343 xor 1.00000000E-299 -18 -> NaN Invalid_operation ddxor344 xor 1E-208 18 -> NaN Invalid_operation ddxor345 xor -1E-207 -10 -> NaN Invalid_operation ddxor346 xor -1.00000000E-299 18 -> NaN Invalid_operation ddxor347 xor -1E-299 10 -> NaN Invalid_operation ddxor348 xor -9.99999999E+299 -18 -> NaN Invalid_operation -- A few other non-integers ddxor361 xor 1.0 1 -> NaN Invalid_operation ddxor362 xor 1E+1 1 -> NaN Invalid_operation ddxor363 xor 0.0 1 -> NaN Invalid_operation ddxor364 xor 0E+1 1 -> NaN Invalid_operation ddxor365 xor 9.9 1 -> NaN Invalid_operation ddxor366 xor 9E+1 1 -> NaN Invalid_operation ddxor371 xor 0 1.0 -> NaN Invalid_operation ddxor372 xor 0 1E+1 -> NaN Invalid_operation ddxor373 xor 0 0.0 -> NaN Invalid_operation ddxor374 xor 0 0E+1 -> NaN Invalid_operation ddxor375 xor 0 9.9 -> NaN Invalid_operation ddxor376 xor 0 9E+1 -> NaN Invalid_operation -- All Specials are in error ddxor780 xor -Inf -Inf -> NaN Invalid_operation ddxor781 xor -Inf -1000 -> NaN Invalid_operation ddxor782 xor -Inf -1 -> NaN Invalid_operation ddxor783 xor -Inf -0 -> NaN Invalid_operation ddxor784 xor -Inf 0 -> NaN Invalid_operation ddxor785 xor -Inf 1 -> NaN Invalid_operation ddxor786 xor -Inf 1000 -> NaN Invalid_operation ddxor787 xor -1000 -Inf -> NaN Invalid_operation ddxor788 xor -Inf -Inf -> NaN Invalid_operation ddxor789 xor -1 -Inf -> NaN Invalid_operation ddxor790 xor -0 -Inf -> NaN Invalid_operation ddxor791 xor 0 -Inf -> NaN Invalid_operation ddxor792 xor 1 -Inf -> NaN Invalid_operation ddxor793 xor 1000 -Inf -> NaN Invalid_operation ddxor794 xor Inf -Inf -> NaN Invalid_operation ddxor800 xor Inf -Inf -> NaN Invalid_operation ddxor801 xor Inf -1000 -> NaN Invalid_operation ddxor802 xor Inf -1 -> NaN Invalid_operation ddxor803 xor Inf -0 -> NaN Invalid_operation ddxor804 xor Inf 0 -> NaN Invalid_operation ddxor805 xor Inf 1 -> NaN Invalid_operation ddxor806 xor Inf 1000 -> NaN Invalid_operation ddxor807 xor Inf Inf -> NaN Invalid_operation ddxor808 xor -1000 Inf -> NaN Invalid_operation ddxor809 xor -Inf Inf -> NaN Invalid_operation ddxor810 xor -1 Inf -> NaN Invalid_operation ddxor811 xor -0 Inf -> NaN Invalid_operation ddxor812 xor 0 Inf -> NaN Invalid_operation ddxor813 xor 1 Inf -> NaN Invalid_operation ddxor814 xor 1000 Inf -> NaN Invalid_operation ddxor815 xor Inf Inf -> NaN Invalid_operation ddxor821 xor NaN -Inf -> NaN Invalid_operation ddxor822 xor NaN -1000 -> NaN Invalid_operation ddxor823 xor NaN -1 -> NaN Invalid_operation ddxor824 xor NaN -0 -> NaN Invalid_operation ddxor825 xor NaN 0 -> NaN Invalid_operation ddxor826 xor NaN 1 -> NaN Invalid_operation ddxor827 xor NaN 1000 -> NaN Invalid_operation ddxor828 xor NaN Inf -> NaN Invalid_operation ddxor829 xor NaN NaN -> NaN Invalid_operation ddxor830 xor -Inf NaN -> NaN Invalid_operation ddxor831 xor -1000 NaN -> NaN Invalid_operation ddxor832 xor -1 NaN -> NaN Invalid_operation ddxor833 xor -0 NaN -> NaN Invalid_operation ddxor834 xor 0 NaN -> NaN Invalid_operation ddxor835 xor 1 NaN -> NaN Invalid_operation ddxor836 xor 1000 NaN -> NaN Invalid_operation ddxor837 xor Inf NaN -> NaN Invalid_operation ddxor841 xor sNaN -Inf -> NaN Invalid_operation ddxor842 xor sNaN -1000 -> NaN Invalid_operation ddxor843 xor sNaN -1 -> NaN Invalid_operation ddxor844 xor sNaN -0 -> NaN Invalid_operation ddxor845 xor sNaN 0 -> NaN Invalid_operation ddxor846 xor sNaN 1 -> NaN Invalid_operation ddxor847 xor sNaN 1000 -> NaN Invalid_operation ddxor848 xor sNaN NaN -> NaN Invalid_operation ddxor849 xor sNaN sNaN -> NaN Invalid_operation ddxor850 xor NaN sNaN -> NaN Invalid_operation ddxor851 xor -Inf sNaN -> NaN Invalid_operation ddxor852 xor -1000 sNaN -> NaN Invalid_operation ddxor853 xor -1 sNaN -> NaN Invalid_operation ddxor854 xor -0 sNaN -> NaN Invalid_operation ddxor855 xor 0 sNaN -> NaN Invalid_operation ddxor856 xor 1 sNaN -> NaN Invalid_operation ddxor857 xor 1000 sNaN -> NaN Invalid_operation ddxor858 xor Inf sNaN -> NaN Invalid_operation ddxor859 xor NaN sNaN -> NaN Invalid_operation -- propagating NaNs ddxor861 xor NaN1 -Inf -> NaN Invalid_operation ddxor862 xor +NaN2 -1000 -> NaN Invalid_operation ddxor863 xor NaN3 1000 -> NaN Invalid_operation ddxor864 xor NaN4 Inf -> NaN Invalid_operation ddxor865 xor NaN5 +NaN6 -> NaN Invalid_operation ddxor866 xor -Inf NaN7 -> NaN Invalid_operation ddxor867 xor -1000 NaN8 -> NaN Invalid_operation ddxor868 xor 1000 NaN9 -> NaN Invalid_operation ddxor869 xor Inf +NaN10 -> NaN Invalid_operation ddxor871 xor sNaN11 -Inf -> NaN Invalid_operation ddxor872 xor sNaN12 -1000 -> NaN Invalid_operation ddxor873 xor sNaN13 1000 -> NaN Invalid_operation ddxor874 xor sNaN14 NaN17 -> NaN Invalid_operation ddxor875 xor sNaN15 sNaN18 -> NaN Invalid_operation ddxor876 xor NaN16 sNaN19 -> NaN Invalid_operation ddxor877 xor -Inf +sNaN20 -> NaN Invalid_operation ddxor878 xor -1000 sNaN21 -> NaN Invalid_operation ddxor879 xor 1000 sNaN22 -> NaN Invalid_operation ddxor880 xor Inf sNaN23 -> NaN Invalid_operation ddxor881 xor +NaN25 +sNaN24 -> NaN Invalid_operation ddxor882 xor -NaN26 NaN28 -> NaN Invalid_operation ddxor883 xor -sNaN27 sNaN29 -> NaN Invalid_operation ddxor884 xor 1000 -NaN30 -> NaN Invalid_operation ddxor885 xor 1000 -sNaN31 -> NaN Invalid_operation