ddXor.decTest 17 KB

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