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1 ------------------------------------------------------------------------
2 -- ddXor.decTest -- digitwise logical XOR for decDoubles --
3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
4 ------------------------------------------------------------------------
5 -- Please see the document "General Decimal Arithmetic Testcases" --
6 -- at http://www2.hursley.ibm.com/decimal for the description of --
7 -- these testcases. --
8 -- --
9 -- These testcases are experimental ('beta' versions), and they --
10 -- may contain errors. They are offered on an as-is basis. In --
11 -- particular, achieving the same results as the tests here is not --
12 -- a guarantee that an implementation complies with any Standard --
13 -- or specification. The tests are not exhaustive. --
14 -- --
15 -- Please send comments, suggestions, and corrections to the author: --
16 -- Mike Cowlishaw, IBM Fellow --
17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
18 -- mfc@uk.ibm.com --
19 ------------------------------------------------------------------------
20 version: 2.59
21
22 precision: 16
23 maxExponent: 384
24 minExponent: -383
25 extended: 1
26 clamp: 1
27 rounding: half_even
28
29 -- Sanity check (truth table)
30 ddxor001 xor 0 0 -> 0
31 ddxor002 xor 0 1 -> 1
32 ddxor003 xor 1 0 -> 1
33 ddxor004 xor 1 1 -> 0
34 ddxor005 xor 1100 1010 -> 110
35 -- and at msd and msd-1
36 ddxor006 xor 0000000000000000 0000000000000000 -> 0
37 ddxor007 xor 0000000000000000 1000000000000000 -> 1000000000000000
38 ddxor008 xor 1000000000000000 0000000000000000 -> 1000000000000000
39 ddxor009 xor 1000000000000000 1000000000000000 -> 0
40 ddxor010 xor 0000000000000000 0000000000000000 -> 0
41 ddxor011 xor 0000000000000000 0100000000000000 -> 100000000000000
42 ddxor012 xor 0100000000000000 0000000000000000 -> 100000000000000
43 ddxor013 xor 0100000000000000 0100000000000000 -> 0
44
45 -- Various lengths
46 -- 1234567890123456 1234567890123456 1234567890123456
47 ddxor021 xor 1111111110000000 1111111110000000 -> 0
48 ddxor022 xor 111111110000000 111111110000000 -> 0
49 ddxor023 xor 11111110000000 11111110000000 -> 0
50 ddxor024 xor 1111110000000 1111110000000 -> 0
51 ddxor025 xor 111110000000 111110000000 -> 0
52 ddxor026 xor 11110000000 11110000000 -> 0
53 ddxor027 xor 1110000000 1110000000 -> 0
54 ddxor028 xor 110000000 110000000 -> 0
55 ddxor029 xor 10000000 10000000 -> 0
56 ddxor030 xor 1000000 1000000 -> 0
57 ddxor031 xor 100000 100000 -> 0
58 ddxor032 xor 10000 10000 -> 0
59 ddxor033 xor 1000 1000 -> 0
60 ddxor034 xor 100 100 -> 0
61 ddxor035 xor 10 10 -> 0
62 ddxor036 xor 1 1 -> 0
63
64 ddxor040 xor 111111111 111111111111 -> 111000000000
65 ddxor041 xor 11111111 111111111111 -> 111100000000
66 ddxor042 xor 11111111 111111111 -> 100000000
67 ddxor043 xor 1111111 100000010 -> 101111101
68 ddxor044 xor 111111 100000100 -> 100111011
69 ddxor045 xor 11111 100001000 -> 100010111
70 ddxor046 xor 1111 100010000 -> 100011111
71 ddxor047 xor 111 100100000 -> 100100111
72 ddxor048 xor 11 101000000 -> 101000011
73 ddxor049 xor 1 110000000 -> 110000001
74
75 ddxor050 xor 1111111111 1 -> 1111111110
76 ddxor051 xor 111111111 1 -> 111111110
77 ddxor052 xor 11111111 1 -> 11111110
78 ddxor053 xor 1111111 1 -> 1111110
79 ddxor054 xor 111111 1 -> 111110
80 ddxor055 xor 11111 1 -> 11110
81 ddxor056 xor 1111 1 -> 1110
82 ddxor057 xor 111 1 -> 110
83 ddxor058 xor 11 1 -> 10
84 ddxor059 xor 1 1 -> 0
85
86 ddxor060 xor 1111111111 0 -> 1111111111
87 ddxor061 xor 111111111 0 -> 111111111
88 ddxor062 xor 11111111 0 -> 11111111
89 ddxor063 xor 1111111 0 -> 1111111
90 ddxor064 xor 111111 0 -> 111111
91 ddxor065 xor 11111 0 -> 11111
92 ddxor066 xor 1111 0 -> 1111
93 ddxor067 xor 111 0 -> 111
94 ddxor068 xor 11 0 -> 11
95 ddxor069 xor 1 0 -> 1
96
97 ddxor070 xor 1 1111111111 -> 1111111110
98 ddxor071 xor 1 111111111 -> 111111110
99 ddxor072 xor 1 11111111 -> 11111110
100 ddxor073 xor 1 1111111 -> 1111110
101 ddxor074 xor 1 111111 -> 111110
102 ddxor075 xor 1 11111 -> 11110
103 ddxor076 xor 1 1111 -> 1110
104 ddxor077 xor 1 111 -> 110
105 ddxor078 xor 1 11 -> 10
106 ddxor079 xor 1 1 -> 0
107
108 ddxor080 xor 0 1111111111 -> 1111111111
109 ddxor081 xor 0 111111111 -> 111111111
110 ddxor082 xor 0 11111111 -> 11111111
111 ddxor083 xor 0 1111111 -> 1111111
112 ddxor084 xor 0 111111 -> 111111
113 ddxor085 xor 0 11111 -> 11111
114 ddxor086 xor 0 1111 -> 1111
115 ddxor087 xor 0 111 -> 111
116 ddxor088 xor 0 11 -> 11
117 ddxor089 xor 0 1 -> 1
118
119 ddxor090 xor 011111111 111101111 -> 100010000
120 ddxor091 xor 101111111 111101111 -> 10010000
121 ddxor092 xor 110111111 111101111 -> 1010000
122 ddxor093 xor 111011111 111101111 -> 110000
123 ddxor094 xor 111101111 111101111 -> 0
124 ddxor095 xor 111110111 111101111 -> 11000
125 ddxor096 xor 111111011 111101111 -> 10100
126 ddxor097 xor 111111101 111101111 -> 10010
127 ddxor098 xor 111111110 111101111 -> 10001
128
129 ddxor100 xor 111101111 011111111 -> 100010000
130 ddxor101 xor 111101111 101111111 -> 10010000
131 ddxor102 xor 111101111 110111111 -> 1010000
132 ddxor103 xor 111101111 111011111 -> 110000
133 ddxor104 xor 111101111 111101111 -> 0
134 ddxor105 xor 111101111 111110111 -> 11000
135 ddxor106 xor 111101111 111111011 -> 10100
136 ddxor107 xor 111101111 111111101 -> 10010
137 ddxor108 xor 111101111 111111110 -> 10001
138
139 -- non-0/1 should not be accepted, nor should signs
140 ddxor220 xor 111111112 111111111 -> NaN Invalid_operation
141 ddxor221 xor 333333333 333333333 -> NaN Invalid_operation
142 ddxor222 xor 555555555 555555555 -> NaN Invalid_operation
143 ddxor223 xor 777777777 777777777 -> NaN Invalid_operation
144 ddxor224 xor 999999999 999999999 -> NaN Invalid_operation
145 ddxor225 xor 222222222 999999999 -> NaN Invalid_operation
146 ddxor226 xor 444444444 999999999 -> NaN Invalid_operation
147 ddxor227 xor 666666666 999999999 -> NaN Invalid_operation
148 ddxor228 xor 888888888 999999999 -> NaN Invalid_operation
149 ddxor229 xor 999999999 222222222 -> NaN Invalid_operation
150 ddxor230 xor 999999999 444444444 -> NaN Invalid_operation
151 ddxor231 xor 999999999 666666666 -> NaN Invalid_operation
152 ddxor232 xor 999999999 888888888 -> NaN Invalid_operation
153 -- a few randoms
154 ddxor240 xor 567468689 -934981942 -> NaN Invalid_operation
155 ddxor241 xor 567367689 934981942 -> NaN Invalid_operation
156 ddxor242 xor -631917772 -706014634 -> NaN Invalid_operation
157 ddxor243 xor -756253257 138579234 -> NaN Invalid_operation
158 ddxor244 xor 835590149 567435400 -> NaN Invalid_operation
159 -- test MSD
160 ddxor250 xor 2000000000000000 1000000000000000 -> NaN Invalid_operation
161 ddxor251 xor 7000000000000000 1000000000000000 -> NaN Invalid_operation
162 ddxor252 xor 8000000000000000 1000000000000000 -> NaN Invalid_operation
163 ddxor253 xor 9000000000000000 1000000000000000 -> NaN Invalid_operation
164 ddxor254 xor 2000000000000000 0000000000000000 -> NaN Invalid_operation
165 ddxor255 xor 7000000000000000 0000000000000000 -> NaN Invalid_operation
166 ddxor256 xor 8000000000000000 0000000000000000 -> NaN Invalid_operation
167 ddxor257 xor 9000000000000000 0000000000000000 -> NaN Invalid_operation
168 ddxor258 xor 1000000000000000 2000000000000000 -> NaN Invalid_operation
169 ddxor259 xor 1000000000000000 7000000000000000 -> NaN Invalid_operation
170 ddxor260 xor 1000000000000000 8000000000000000 -> NaN Invalid_operation
171 ddxor261 xor 1000000000000000 9000000000000000 -> NaN Invalid_operation
172 ddxor262 xor 0000000000000000 2000000000000000 -> NaN Invalid_operation
173 ddxor263 xor 0000000000000000 7000000000000000 -> NaN Invalid_operation
174 ddxor264 xor 0000000000000000 8000000000000000 -> NaN Invalid_operation
175 ddxor265 xor 0000000000000000 9000000000000000 -> NaN Invalid_operation
176 -- test MSD-1
177 ddxor270 xor 0200001000000000 1000100000000010 -> NaN Invalid_operation
178 ddxor271 xor 0700000100000000 1000010000000100 -> NaN Invalid_operation
179 ddxor272 xor 0800000010000000 1000001000001000 -> NaN Invalid_operation
180 ddxor273 xor 0900000001000000 1000000100010000 -> NaN Invalid_operation
181 ddxor274 xor 1000000000100000 0200000010100000 -> NaN Invalid_operation
182 ddxor275 xor 1000000000010000 0700000001000000 -> NaN Invalid_operation
183 ddxor276 xor 1000000000001000 0800000010100000 -> NaN Invalid_operation
184 ddxor277 xor 1000000000000100 0900000000010000 -> NaN Invalid_operation
185 -- test LSD
186 ddxor280 xor 0010000000000002 1000000100000001 -> NaN Invalid_operation
187 ddxor281 xor 0001000000000007 1000001000000011 -> NaN Invalid_operation
188 ddxor282 xor 0000100000000008 1000010000000001 -> NaN Invalid_operation
189 ddxor283 xor 0000010000000009 1000100000000001 -> NaN Invalid_operation
190 ddxor284 xor 1000001000000000 0001000000000002 -> NaN Invalid_operation
191 ddxor285 xor 1000000100000000 0010000000000007 -> NaN Invalid_operation
192 ddxor286 xor 1000000010000000 0100000000000008 -> NaN Invalid_operation
193 ddxor287 xor 1000000001000000 1000000000000009 -> NaN Invalid_operation
194 -- test Middie
195 ddxor288 xor 0010000020000000 1000001000000000 -> NaN Invalid_operation
196 ddxor289 xor 0001000070000001 1000000100000000 -> NaN Invalid_operation
197 ddxor290 xor 0000100080000010 1000000010000000 -> NaN Invalid_operation
198 ddxor291 xor 0000010090000100 1000000001000000 -> NaN Invalid_operation
199 ddxor292 xor 1000001000001000 0000000020100000 -> NaN Invalid_operation
200 ddxor293 xor 1000000100010000 0000000070010000 -> NaN Invalid_operation
201 ddxor294 xor 1000000010100000 0000000080001000 -> NaN Invalid_operation
202 ddxor295 xor 1000000001000000 0000000090000100 -> NaN Invalid_operation
203 -- signs
204 ddxor296 xor -1000000001000000 -0000010000000100 -> NaN Invalid_operation
205 ddxor297 xor -1000000001000000 0000000010000100 -> NaN Invalid_operation
206 ddxor298 xor 1000000001000000 -0000001000000100 -> NaN Invalid_operation
207 ddxor299 xor 1000000001000000 0000000011000100 -> 1000000010000100
208
209 -- Nmax, Nmin, Ntiny-like
210 ddxor331 xor 2 9.99999999E+299 -> NaN Invalid_operation
211 ddxor332 xor 3 1E-299 -> NaN Invalid_operation
212 ddxor333 xor 4 1.00000000E-299 -> NaN Invalid_operation
213 ddxor334 xor 5 1E-200 -> NaN Invalid_operation
214 ddxor335 xor 6 -1E-200 -> NaN Invalid_operation
215 ddxor336 xor 7 -1.00000000E-299 -> NaN Invalid_operation
216 ddxor337 xor 8 -1E-299 -> NaN Invalid_operation
217 ddxor338 xor 9 -9.99999999E+299 -> NaN Invalid_operation
218 ddxor341 xor 9.99999999E+299 -18 -> NaN Invalid_operation
219 ddxor342 xor 1E-299 01 -> NaN Invalid_operation
220 ddxor343 xor 1.00000000E-299 -18 -> NaN Invalid_operation
221 ddxor344 xor 1E-208 18 -> NaN Invalid_operation
222 ddxor345 xor -1E-207 -10 -> NaN Invalid_operation
223 ddxor346 xor -1.00000000E-299 18 -> NaN Invalid_operation
224 ddxor347 xor -1E-299 10 -> NaN Invalid_operation
225 ddxor348 xor -9.99999999E+299 -18 -> NaN Invalid_operation
226
227 -- A few other non-integers
228 ddxor361 xor 1.0 1 -> NaN Invalid_operation
229 ddxor362 xor 1E+1 1 -> NaN Invalid_operation
230 ddxor363 xor 0.0 1 -> NaN Invalid_operation
231 ddxor364 xor 0E+1 1 -> NaN Invalid_operation
232 ddxor365 xor 9.9 1 -> NaN Invalid_operation
233 ddxor366 xor 9E+1 1 -> NaN Invalid_operation
234 ddxor371 xor 0 1.0 -> NaN Invalid_operation
235 ddxor372 xor 0 1E+1 -> NaN Invalid_operation
236 ddxor373 xor 0 0.0 -> NaN Invalid_operation
237 ddxor374 xor 0 0E+1 -> NaN Invalid_operation
238 ddxor375 xor 0 9.9 -> NaN Invalid_operation
239 ddxor376 xor 0 9E+1 -> NaN Invalid_operation
240
241 -- All Specials are in error
242 ddxor780 xor -Inf -Inf -> NaN Invalid_operation
243 ddxor781 xor -Inf -1000 -> NaN Invalid_operation
244 ddxor782 xor -Inf -1 -> NaN Invalid_operation
245 ddxor783 xor -Inf -0 -> NaN Invalid_operation
246 ddxor784 xor -Inf 0 -> NaN Invalid_operation
247 ddxor785 xor -Inf 1 -> NaN Invalid_operation
248 ddxor786 xor -Inf 1000 -> NaN Invalid_operation
249 ddxor787 xor -1000 -Inf -> NaN Invalid_operation
250 ddxor788 xor -Inf -Inf -> NaN Invalid_operation
251 ddxor789 xor -1 -Inf -> NaN Invalid_operation
252 ddxor790 xor -0 -Inf -> NaN Invalid_operation
253 ddxor791 xor 0 -Inf -> NaN Invalid_operation
254 ddxor792 xor 1 -Inf -> NaN Invalid_operation
255 ddxor793 xor 1000 -Inf -> NaN Invalid_operation
256 ddxor794 xor Inf -Inf -> NaN Invalid_operation
257
258 ddxor800 xor Inf -Inf -> NaN Invalid_operation
259 ddxor801 xor Inf -1000 -> NaN Invalid_operation
260 ddxor802 xor Inf -1 -> NaN Invalid_operation
261 ddxor803 xor Inf -0 -> NaN Invalid_operation
262 ddxor804 xor Inf 0 -> NaN Invalid_operation
263 ddxor805 xor Inf 1 -> NaN Invalid_operation
264 ddxor806 xor Inf 1000 -> NaN Invalid_operation
265 ddxor807 xor Inf Inf -> NaN Invalid_operation
266 ddxor808 xor -1000 Inf -> NaN Invalid_operation
267 ddxor809 xor -Inf Inf -> NaN Invalid_operation
268 ddxor810 xor -1 Inf -> NaN Invalid_operation
269 ddxor811 xor -0 Inf -> NaN Invalid_operation
270 ddxor812 xor 0 Inf -> NaN Invalid_operation
271 ddxor813 xor 1 Inf -> NaN Invalid_operation
272 ddxor814 xor 1000 Inf -> NaN Invalid_operation
273 ddxor815 xor Inf Inf -> NaN Invalid_operation
274
275 ddxor821 xor NaN -Inf -> NaN Invalid_operation
276 ddxor822 xor NaN -1000 -> NaN Invalid_operation
277 ddxor823 xor NaN -1 -> NaN Invalid_operation
278 ddxor824 xor NaN -0 -> NaN Invalid_operation
279 ddxor825 xor NaN 0 -> NaN Invalid_operation
280 ddxor826 xor NaN 1 -> NaN Invalid_operation
281 ddxor827 xor NaN 1000 -> NaN Invalid_operation
282 ddxor828 xor NaN Inf -> NaN Invalid_operation
283 ddxor829 xor NaN NaN -> NaN Invalid_operation
284 ddxor830 xor -Inf NaN -> NaN Invalid_operation
285 ddxor831 xor -1000 NaN -> NaN Invalid_operation
286 ddxor832 xor -1 NaN -> NaN Invalid_operation
287 ddxor833 xor -0 NaN -> NaN Invalid_operation
288 ddxor834 xor 0 NaN -> NaN Invalid_operation
289 ddxor835 xor 1 NaN -> NaN Invalid_operation
290 ddxor836 xor 1000 NaN -> NaN Invalid_operation
291 ddxor837 xor Inf NaN -> NaN Invalid_operation
292
293 ddxor841 xor sNaN -Inf -> NaN Invalid_operation
294 ddxor842 xor sNaN -1000 -> NaN Invalid_operation
295 ddxor843 xor sNaN -1 -> NaN Invalid_operation
296 ddxor844 xor sNaN -0 -> NaN Invalid_operation
297 ddxor845 xor sNaN 0 -> NaN Invalid_operation
298 ddxor846 xor sNaN 1 -> NaN Invalid_operation
299 ddxor847 xor sNaN 1000 -> NaN Invalid_operation
300 ddxor848 xor sNaN NaN -> NaN Invalid_operation
301 ddxor849 xor sNaN sNaN -> NaN Invalid_operation
302 ddxor850 xor NaN sNaN -> NaN Invalid_operation
303 ddxor851 xor -Inf sNaN -> NaN Invalid_operation
304 ddxor852 xor -1000 sNaN -> NaN Invalid_operation
305 ddxor853 xor -1 sNaN -> NaN Invalid_operation
306 ddxor854 xor -0 sNaN -> NaN Invalid_operation
307 ddxor855 xor 0 sNaN -> NaN Invalid_operation
308 ddxor856 xor 1 sNaN -> NaN Invalid_operation
309 ddxor857 xor 1000 sNaN -> NaN Invalid_operation
310 ddxor858 xor Inf sNaN -> NaN Invalid_operation
311 ddxor859 xor NaN sNaN -> NaN Invalid_operation
312
313 -- propagating NaNs
314 ddxor861 xor NaN1 -Inf -> NaN Invalid_operation
315 ddxor862 xor +NaN2 -1000 -> NaN Invalid_operation
316 ddxor863 xor NaN3 1000 -> NaN Invalid_operation
317 ddxor864 xor NaN4 Inf -> NaN Invalid_operation
318 ddxor865 xor NaN5 +NaN6 -> NaN Invalid_operation
319 ddxor866 xor -Inf NaN7 -> NaN Invalid_operation
320 ddxor867 xor -1000 NaN8 -> NaN Invalid_operation
321 ddxor868 xor 1000 NaN9 -> NaN Invalid_operation
322 ddxor869 xor Inf +NaN10 -> NaN Invalid_operation
323 ddxor871 xor sNaN11 -Inf -> NaN Invalid_operation
324 ddxor872 xor sNaN12 -1000 -> NaN Invalid_operation
325 ddxor873 xor sNaN13 1000 -> NaN Invalid_operation
326 ddxor874 xor sNaN14 NaN17 -> NaN Invalid_operation
327 ddxor875 xor sNaN15 sNaN18 -> NaN Invalid_operation
328 ddxor876 xor NaN16 sNaN19 -> NaN Invalid_operation
329 ddxor877 xor -Inf +sNaN20 -> NaN Invalid_operation
330 ddxor878 xor -1000 sNaN21 -> NaN Invalid_operation
331 ddxor879 xor 1000 sNaN22 -> NaN Invalid_operation
332 ddxor880 xor Inf sNaN23 -> NaN Invalid_operation
333 ddxor881 xor +NaN25 +sNaN24 -> NaN Invalid_operation
334 ddxor882 xor -NaN26 NaN28 -> NaN Invalid_operation
335 ddxor883 xor -sNaN27 sNaN29 -> NaN Invalid_operation
336 ddxor884 xor 1000 -NaN30 -> NaN Invalid_operation
337 ddxor885 xor 1000 -sNaN31 -> NaN Invalid_operation