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/Lib/test/decimaltestdata/add.decTest

http://unladen-swallow.googlecode.com/
Unknown | 2716 lines | 2516 code | 200 blank | 0 comment | 0 complexity | 8c4c59002a02c5103a9f87e539068de6 MD5 | raw file
Possible License(s): 0BSD, BSD-3-Clause
  1. ------/cancell----------------------------------------------------------
  2. -- add.decTest -- decimal addition --
  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: 2.58
  21. precision: 9
  22. rounding: half_up
  23. maxExponent: 384
  24. minexponent: -383
  25. extended: 1
  26. -- [first group are 'quick confidence check']
  27. addx001 add 1 1 -> 2
  28. addx002 add 2 3 -> 5
  29. addx003 add '5.75' '3.3' -> 9.05
  30. addx004 add '5' '-3' -> 2
  31. addx005 add '-5' '-3' -> -8
  32. addx006 add '-7' '2.5' -> -4.5
  33. addx007 add '0.7' '0.3' -> 1.0
  34. addx008 add '1.25' '1.25' -> 2.50
  35. addx009 add '1.23456789' '1.00000000' -> '2.23456789'
  36. addx010 add '1.23456789' '1.00000011' -> '2.23456800'
  37. addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
  38. addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
  39. addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
  40. addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded
  41. addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded
  42. addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
  43. addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
  44. addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
  45. addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded
  46. addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded
  47. addx021 add 0 1 -> 1
  48. addx022 add 1 1 -> 2
  49. addx023 add 2 1 -> 3
  50. addx024 add 3 1 -> 4
  51. addx025 add 4 1 -> 5
  52. addx026 add 5 1 -> 6
  53. addx027 add 6 1 -> 7
  54. addx028 add 7 1 -> 8
  55. addx029 add 8 1 -> 9
  56. addx030 add 9 1 -> 10
  57. -- some carrying effects
  58. addx031 add '0.9998' '0.0000' -> '0.9998'
  59. addx032 add '0.9998' '0.0001' -> '0.9999'
  60. addx033 add '0.9998' '0.0002' -> '1.0000'
  61. addx034 add '0.9998' '0.0003' -> '1.0001'
  62. addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
  63. addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
  64. addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
  65. addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
  66. addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded
  67. -- symmetry:
  68. addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
  69. addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
  70. addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
  71. addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
  72. addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded
  73. -- same, higher precision
  74. precision: 15
  75. addx046 add '10000e+9' '7' -> '10000000000007'
  76. addx047 add '10000e+9' '70' -> '10000000000070'
  77. addx048 add '10000e+9' '700' -> '10000000000700'
  78. addx049 add '10000e+9' '7000' -> '10000000007000'
  79. addx050 add '10000e+9' '70000' -> '10000000070000'
  80. addx051 add '10000e+9' '700000' -> '10000000700000'
  81. addx052 add '10000e+9' '7000000' -> '10000007000000'
  82. -- examples from decarith
  83. addx053 add '12' '7.00' -> '19.00'
  84. addx054 add '1.3' '-1.07' -> '0.23'
  85. addx055 add '1.3' '-1.30' -> '0.00'
  86. addx056 add '1.3' '-2.07' -> '-0.77'
  87. addx057 add '1E+2' '1E+4' -> '1.01E+4'
  88. -- zero preservation
  89. precision: 6
  90. addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
  91. addx061 add 1 '0.0001' -> '1.0001'
  92. addx062 add 1 '0.00001' -> '1.00001'
  93. addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded
  94. addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded
  95. addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded
  96. -- some funny zeros [in case of bad signum]
  97. addx070 add 1 0 -> 1
  98. addx071 add 1 0. -> 1
  99. addx072 add 1 .0 -> 1.0
  100. addx073 add 1 0.0 -> 1.0
  101. addx074 add 1 0.00 -> 1.00
  102. addx075 add 0 1 -> 1
  103. addx076 add 0. 1 -> 1
  104. addx077 add .0 1 -> 1.0
  105. addx078 add 0.0 1 -> 1.0
  106. addx079 add 0.00 1 -> 1.00
  107. precision: 9
  108. -- some carries
  109. addx080 add 999999998 1 -> 999999999
  110. addx081 add 999999999 1 -> 1.00000000E+9 Rounded
  111. addx082 add 99999999 1 -> 100000000
  112. addx083 add 9999999 1 -> 10000000
  113. addx084 add 999999 1 -> 1000000
  114. addx085 add 99999 1 -> 100000
  115. addx086 add 9999 1 -> 10000
  116. addx087 add 999 1 -> 1000
  117. addx088 add 99 1 -> 100
  118. addx089 add 9 1 -> 10
  119. -- more LHS swaps
  120. addx090 add '-56267E-10' 0 -> '-0.0000056267'
  121. addx091 add '-56267E-6' 0 -> '-0.056267'
  122. addx092 add '-56267E-5' 0 -> '-0.56267'
  123. addx093 add '-56267E-4' 0 -> '-5.6267'
  124. addx094 add '-56267E-3' 0 -> '-56.267'
  125. addx095 add '-56267E-2' 0 -> '-562.67'
  126. addx096 add '-56267E-1' 0 -> '-5626.7'
  127. addx097 add '-56267E-0' 0 -> '-56267'
  128. addx098 add '-5E-10' 0 -> '-5E-10'
  129. addx099 add '-5E-7' 0 -> '-5E-7'
  130. addx100 add '-5E-6' 0 -> '-0.000005'
  131. addx101 add '-5E-5' 0 -> '-0.00005'
  132. addx102 add '-5E-4' 0 -> '-0.0005'
  133. addx103 add '-5E-1' 0 -> '-0.5'
  134. addx104 add '-5E0' 0 -> '-5'
  135. addx105 add '-5E1' 0 -> '-50'
  136. addx106 add '-5E5' 0 -> '-500000'
  137. addx107 add '-5E8' 0 -> '-500000000'
  138. addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded
  139. addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded
  140. addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded
  141. addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded
  142. -- more RHS swaps
  143. addx113 add 0 '-56267E-10' -> '-0.0000056267'
  144. addx114 add 0 '-56267E-6' -> '-0.056267'
  145. addx116 add 0 '-56267E-5' -> '-0.56267'
  146. addx117 add 0 '-56267E-4' -> '-5.6267'
  147. addx119 add 0 '-56267E-3' -> '-56.267'
  148. addx120 add 0 '-56267E-2' -> '-562.67'
  149. addx121 add 0 '-56267E-1' -> '-5626.7'
  150. addx122 add 0 '-56267E-0' -> '-56267'
  151. addx123 add 0 '-5E-10' -> '-5E-10'
  152. addx124 add 0 '-5E-7' -> '-5E-7'
  153. addx125 add 0 '-5E-6' -> '-0.000005'
  154. addx126 add 0 '-5E-5' -> '-0.00005'
  155. addx127 add 0 '-5E-4' -> '-0.0005'
  156. addx128 add 0 '-5E-1' -> '-0.5'
  157. addx129 add 0 '-5E0' -> '-5'
  158. addx130 add 0 '-5E1' -> '-50'
  159. addx131 add 0 '-5E5' -> '-500000'
  160. addx132 add 0 '-5E8' -> '-500000000'
  161. addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded
  162. addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded
  163. addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded
  164. addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded
  165. -- related
  166. addx137 add 1 '0E-12' -> '1.00000000' Rounded
  167. addx138 add -1 '0E-12' -> '-1.00000000' Rounded
  168. addx139 add '0E-12' 1 -> '1.00000000' Rounded
  169. addx140 add '0E-12' -1 -> '-1.00000000' Rounded
  170. addx141 add 1E+4 0.0000 -> '10000.0000'
  171. addx142 add 1E+4 0.00000 -> '10000.0000' Rounded
  172. addx143 add 0.000 1E+5 -> '100000.000'
  173. addx144 add 0.0000 1E+5 -> '100000.000' Rounded
  174. -- [some of the next group are really constructor tests]
  175. addx146 add '00.0' 0 -> '0.0'
  176. addx147 add '0.00' 0 -> '0.00'
  177. addx148 add 0 '0.00' -> '0.00'
  178. addx149 add 0 '00.0' -> '0.0'
  179. addx150 add '00.0' '0.00' -> '0.00'
  180. addx151 add '0.00' '00.0' -> '0.00'
  181. addx152 add '3' '.3' -> '3.3'
  182. addx153 add '3.' '.3' -> '3.3'
  183. addx154 add '3.0' '.3' -> '3.3'
  184. addx155 add '3.00' '.3' -> '3.30'
  185. addx156 add '3' '3' -> '6'
  186. addx157 add '3' '+3' -> '6'
  187. addx158 add '3' '-3' -> '0'
  188. addx159 add '0.3' '-0.3' -> '0.0'
  189. addx160 add '0.03' '-0.03' -> '0.00'
  190. -- try borderline precision, with carries, etc.
  191. precision: 15
  192. addx161 add '1E+12' '-1' -> '999999999999'
  193. addx162 add '1E+12' '1.11' -> '1000000000001.11'
  194. addx163 add '1.11' '1E+12' -> '1000000000001.11'
  195. addx164 add '-1' '1E+12' -> '999999999999'
  196. addx165 add '7E+12' '-1' -> '6999999999999'
  197. addx166 add '7E+12' '1.11' -> '7000000000001.11'
  198. addx167 add '1.11' '7E+12' -> '7000000000001.11'
  199. addx168 add '-1' '7E+12' -> '6999999999999'
  200. -- 123456789012345 123456789012345 1 23456789012345
  201. addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
  202. addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
  203. addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
  204. addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
  205. addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
  206. addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
  207. addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
  208. addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
  209. addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
  210. addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
  211. addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
  212. addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
  213. addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
  214. addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
  215. -- and some more, including residue effects and different roundings
  216. precision: 9
  217. rounding: half_up
  218. addx200 add '123456789' 0 -> '123456789'
  219. addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
  220. addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded
  221. addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded
  222. addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded
  223. addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded
  224. addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded
  225. addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
  226. addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded
  227. addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
  228. addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded
  229. addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded
  230. addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded
  231. addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded
  232. addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded
  233. addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
  234. addx216 add '123456789' 1 -> '123456790'
  235. addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded
  236. addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded
  237. addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded
  238. rounding: half_even
  239. addx220 add '123456789' 0 -> '123456789'
  240. addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
  241. addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded
  242. addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded
  243. addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded
  244. addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded
  245. addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded
  246. addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
  247. addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded
  248. addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
  249. addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded
  250. addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded
  251. addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded
  252. addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded
  253. addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded
  254. addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
  255. addx236 add '123456789' 1 -> '123456790'
  256. addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
  257. addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded
  258. addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded
  259. -- critical few with even bottom digit...
  260. addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded
  261. addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded
  262. addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded
  263. rounding: down
  264. addx250 add '123456789' 0 -> '123456789'
  265. addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
  266. addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded
  267. addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded
  268. addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded
  269. addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded
  270. addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded
  271. addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
  272. addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded
  273. addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded
  274. addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded
  275. addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded
  276. addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded
  277. addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded
  278. addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded
  279. addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded
  280. addx266 add '123456789' 1 -> '123456790'
  281. addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
  282. addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded
  283. addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded
  284. -- input preparation tests (operands should not be rounded)
  285. precision: 3
  286. rounding: half_up
  287. addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
  288. addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
  289. addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded
  290. addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded
  291. addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
  292. addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
  293. addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
  294. addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded
  295. addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded
  296. addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
  297. addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
  298. addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
  299. addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
  300. addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
  301. addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
  302. addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
  303. rounding: half_down
  304. addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
  305. addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
  306. addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
  307. addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
  308. addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
  309. addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
  310. addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
  311. -- 1 in last place tests
  312. rounding: half_up
  313. addx301 add -1 1 -> 0
  314. addx302 add 0 1 -> 1
  315. addx303 add 1 1 -> 2
  316. addx304 add 12 1 -> 13
  317. addx305 add 98 1 -> 99
  318. addx306 add 99 1 -> 100
  319. addx307 add 100 1 -> 101
  320. addx308 add 101 1 -> 102
  321. addx309 add -1 -1 -> -2
  322. addx310 add 0 -1 -> -1
  323. addx311 add 1 -1 -> 0
  324. addx312 add 12 -1 -> 11
  325. addx313 add 98 -1 -> 97
  326. addx314 add 99 -1 -> 98
  327. addx315 add 100 -1 -> 99
  328. addx316 add 101 -1 -> 100
  329. addx321 add -0.01 0.01 -> 0.00
  330. addx322 add 0.00 0.01 -> 0.01
  331. addx323 add 0.01 0.01 -> 0.02
  332. addx324 add 0.12 0.01 -> 0.13
  333. addx325 add 0.98 0.01 -> 0.99
  334. addx326 add 0.99 0.01 -> 1.00
  335. addx327 add 1.00 0.01 -> 1.01
  336. addx328 add 1.01 0.01 -> 1.02
  337. addx329 add -0.01 -0.01 -> -0.02
  338. addx330 add 0.00 -0.01 -> -0.01
  339. addx331 add 0.01 -0.01 -> 0.00
  340. addx332 add 0.12 -0.01 -> 0.11
  341. addx333 add 0.98 -0.01 -> 0.97
  342. addx334 add 0.99 -0.01 -> 0.98
  343. addx335 add 1.00 -0.01 -> 0.99
  344. addx336 add 1.01 -0.01 -> 1.00
  345. -- some more cases where adding 0 affects the coefficient
  346. precision: 9
  347. addx340 add 1E+3 0 -> 1000
  348. addx341 add 1E+8 0 -> 100000000
  349. addx342 add 1E+9 0 -> 1.00000000E+9 Rounded
  350. addx343 add 1E+10 0 -> 1.00000000E+10 Rounded
  351. -- which simply follow from these cases ...
  352. addx344 add 1E+3 1 -> 1001
  353. addx345 add 1E+8 1 -> 100000001
  354. addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded
  355. addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded
  356. addx348 add 1E+3 7 -> 1007
  357. addx349 add 1E+8 7 -> 100000007
  358. addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded
  359. addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded
  360. -- tryzeros cases
  361. precision: 7
  362. rounding: half_up
  363. maxExponent: 92
  364. minexponent: -92
  365. addx361 add 0E+50 10000E+1 -> 1.0000E+5
  366. addx362 add 10000E+1 0E-50 -> 100000.0 Rounded
  367. addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
  368. addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86
  369. -- a curiosity from JSR 13 testing
  370. rounding: half_down
  371. precision: 10
  372. addx370 add 99999999 81512 -> 100081511
  373. precision: 6
  374. addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
  375. rounding: half_up
  376. precision: 10
  377. addx372 add 99999999 81512 -> 100081511
  378. precision: 6
  379. addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
  380. rounding: half_even
  381. precision: 10
  382. addx374 add 99999999 81512 -> 100081511
  383. precision: 6
  384. addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
  385. -- ulp replacement tests
  386. precision: 9
  387. maxexponent: 999999999
  388. minexponent: -999999999
  389. addx400 add 1 77e-7 -> 1.0000077
  390. addx401 add 1 77e-8 -> 1.00000077
  391. addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded
  392. addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded
  393. addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded
  394. addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded
  395. addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded
  396. addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded
  397. addx410 add 10 77e-7 -> 10.0000077
  398. addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded
  399. addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded
  400. addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded
  401. addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded
  402. addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded
  403. addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded
  404. addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded
  405. addx420 add 77e-7 1 -> 1.0000077
  406. addx421 add 77e-8 1 -> 1.00000077
  407. addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded
  408. addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded
  409. addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded
  410. addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded
  411. addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded
  412. addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded
  413. addx430 add 77e-7 10 -> 10.0000077
  414. addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded
  415. addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded
  416. addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded
  417. addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded
  418. addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded
  419. addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded
  420. addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded
  421. -- negative ulps
  422. addx440 add 1 -77e-7 -> 0.9999923
  423. addx441 add 1 -77e-8 -> 0.99999923
  424. addx442 add 1 -77e-9 -> 0.999999923
  425. addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded
  426. addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded
  427. addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded
  428. addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded
  429. addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded
  430. addx450 add 10 -77e-7 -> 9.9999923
  431. addx451 add 10 -77e-8 -> 9.99999923
  432. addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded
  433. addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded
  434. addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded
  435. addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded
  436. addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded
  437. addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded
  438. addx460 add -77e-7 1 -> 0.9999923
  439. addx461 add -77e-8 1 -> 0.99999923
  440. addx462 add -77e-9 1 -> 0.999999923
  441. addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded
  442. addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded
  443. addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded
  444. addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded
  445. addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded
  446. addx470 add -77e-7 10 -> 9.9999923
  447. addx471 add -77e-8 10 -> 9.99999923
  448. addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded
  449. addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded
  450. addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded
  451. addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded
  452. addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded
  453. addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded
  454. -- negative ulps
  455. addx480 add -1 77e-7 -> -0.9999923
  456. addx481 add -1 77e-8 -> -0.99999923
  457. addx482 add -1 77e-9 -> -0.999999923
  458. addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded
  459. addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded
  460. addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded
  461. addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded
  462. addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded
  463. addx490 add -10 77e-7 -> -9.9999923
  464. addx491 add -10 77e-8 -> -9.99999923
  465. addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded
  466. addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded
  467. addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded
  468. addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded
  469. addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded
  470. addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded
  471. addx500 add 77e-7 -1 -> -0.9999923
  472. addx501 add 77e-8 -1 -> -0.99999923
  473. addx502 add 77e-9 -1 -> -0.999999923
  474. addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded
  475. addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded
  476. addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded
  477. addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded
  478. addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded
  479. addx510 add 77e-7 -10 -> -9.9999923
  480. addx511 add 77e-8 -10 -> -9.99999923
  481. addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded
  482. addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded
  483. addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded
  484. addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded
  485. addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded
  486. addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded
  487. -- long operands
  488. maxexponent: 999
  489. minexponent: -999
  490. precision: 9
  491. addx521 add 12345678000 0 -> 1.23456780E+10 Rounded
  492. addx522 add 0 12345678000 -> 1.23456780E+10 Rounded
  493. addx523 add 1234567800 0 -> 1.23456780E+9 Rounded
  494. addx524 add 0 1234567800 -> 1.23456780E+9 Rounded
  495. addx525 add 1234567890 0 -> 1.23456789E+9 Rounded
  496. addx526 add 0 1234567890 -> 1.23456789E+9 Rounded
  497. addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded
  498. addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded
  499. addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded
  500. addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded
  501. addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded
  502. addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded
  503. precision: 15
  504. -- still checking
  505. addx541 add 12345678000 0 -> 12345678000
  506. addx542 add 0 12345678000 -> 12345678000
  507. addx543 add 1234567800 0 -> 1234567800
  508. addx544 add 0 1234567800 -> 1234567800
  509. addx545 add 1234567890 0 -> 1234567890
  510. addx546 add 0 1234567890 -> 1234567890
  511. addx547 add 1234567891 0 -> 1234567891
  512. addx548 add 0 1234567891 -> 1234567891
  513. addx549 add 12345678901 0 -> 12345678901
  514. addx550 add 0 12345678901 -> 12345678901
  515. addx551 add 1234567896 0 -> 1234567896
  516. addx552 add 0 1234567896 -> 1234567896
  517. -- verify a query
  518. precision: 16
  519. maxExponent: +394
  520. minExponent: -393
  521. rounding: down
  522. addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
  523. addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
  524. -- and using decimal64 bounds (see also ddadd.decTest)
  525. precision: 16
  526. maxExponent: +384
  527. minExponent: -383
  528. rounding: down
  529. addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
  530. addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
  531. -- some more residue effects with extreme rounding
  532. precision: 9
  533. rounding: half_up
  534. addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded
  535. rounding: half_even
  536. addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded
  537. rounding: half_down
  538. addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded
  539. rounding: floor
  540. addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded
  541. rounding: ceiling
  542. addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded
  543. rounding: up
  544. addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded
  545. rounding: down
  546. addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded
  547. rounding: half_up
  548. addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded
  549. rounding: half_even
  550. addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded
  551. rounding: half_down
  552. addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded
  553. rounding: floor
  554. addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded
  555. rounding: ceiling
  556. addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded
  557. rounding: up
  558. addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded
  559. rounding: down
  560. addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded
  561. rounding: half_up
  562. addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded
  563. rounding: half_even
  564. addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded
  565. rounding: half_down
  566. addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded
  567. rounding: floor
  568. addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded
  569. rounding: ceiling
  570. addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded
  571. rounding: up
  572. addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded
  573. rounding: down
  574. addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded
  575. rounding: half_up
  576. addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded
  577. rounding: half_even
  578. addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded
  579. rounding: half_down
  580. addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded
  581. rounding: floor
  582. addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded
  583. rounding: ceiling
  584. addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded
  585. rounding: up
  586. addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded
  587. rounding: down
  588. addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded
  589. rounding: half_up
  590. addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded
  591. rounding: half_even
  592. addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded
  593. rounding: half_down
  594. addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded
  595. rounding: floor
  596. addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded
  597. rounding: ceiling
  598. addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded
  599. rounding: up
  600. addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded
  601. rounding: down
  602. addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded
  603. rounding: half_up
  604. addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded
  605. rounding: half_even
  606. addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded
  607. rounding: half_down
  608. addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded
  609. rounding: floor
  610. addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded
  611. rounding: ceiling
  612. addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded
  613. rounding: up
  614. addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded
  615. rounding: down
  616. addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded
  617. -- long operand triangle
  618. rounding: half_up
  619. precision: 37
  620. addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
  621. precision: 36
  622. addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
  623. precision: 35
  624. addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
  625. precision: 34
  626. addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
  627. precision: 33
  628. addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
  629. precision: 32
  630. addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
  631. precision: 31
  632. addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
  633. precision: 30
  634. addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
  635. precision: 29
  636. addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
  637. precision: 28
  638. addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
  639. precision: 27
  640. addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
  641. precision: 26
  642. addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
  643. precision: 25
  644. addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
  645. precision: 24
  646. addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
  647. precision: 23
  648. addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
  649. precision: 22
  650. addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
  651. precision: 21
  652. addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
  653. precision: 20
  654. addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
  655. precision: 19
  656. addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
  657. precision: 18
  658. addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
  659. precision: 17
  660. addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
  661. precision: 16
  662. addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
  663. precision: 15
  664. addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
  665. precision: 14
  666. addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
  667. precision: 13
  668. addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
  669. precision: 12
  670. addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
  671. precision: 11
  672. addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
  673. precision: 10
  674. addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
  675. precision: 9
  676. addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
  677. precision: 8
  678. addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
  679. precision: 7
  680. addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
  681. precision: 6
  682. addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
  683. precision: 5
  684. addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
  685. precision: 4
  686. addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
  687. precision: 3
  688. addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
  689. precision: 2
  690. addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
  691. precision: 1
  692. addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
  693. -- more zeros, etc.
  694. rounding: half_up
  695. precision: 9
  696. addx701 add 5.00 1.00E-3 -> 5.00100
  697. addx702 add 00.00 0.000 -> 0.000
  698. addx703 add 00.00 0E-3 -> 0.000
  699. addx704 add 0E-3 00.00 -> 0.000
  700. addx710 add 0E+3 00.00 -> 0.00
  701. addx711 add 0E+3 00.0 -> 0.0
  702. addx712 add 0E+3 00. -> 0
  703. addx713 add 0E+3 00.E+1 -> 0E+1
  704. addx714 add 0E+3 00.E+2 -> 0E+2
  705. addx715 add 0E+3 00.E+3 -> 0E+3
  706. addx716 add 0E+3 00.E+4 -> 0E+3
  707. addx717 add 0E+3 00.E+5 -> 0E+3
  708. addx718 add 0E+3 -00.0 -> 0.0
  709. addx719 add 0E+3 -00. -> 0
  710. addx731 add 0E+3 -00.E+1 -> 0E+1
  711. addx720 add 00.00 0E+3 -> 0.00
  712. addx721 add 00.0 0E+3 -> 0.0
  713. addx722 add 00. 0E+3 -> 0
  714. addx723 add 00.E+1 0E+3 -> 0E+1
  715. addx724 add 00.E+2 0E+3 -> 0E+2
  716. addx725 add 00.E+3 0E+3 -> 0E+3
  717. addx726 add 00.E+4 0E+3 -> 0E+3
  718. addx727 add 00.E+5 0E+3 -> 0E+3
  719. addx728 add -00.00 0E+3 -> 0.00
  720. addx729 add -00.0 0E+3 -> 0.0
  721. addx730 add -00. 0E+3 -> 0
  722. addx732 add 0 0 -> 0
  723. addx733 add 0 -0 -> 0
  724. addx734 add -0 0 -> 0
  725. addx735 add -0 -0 -> -0 -- IEEE 854 special case
  726. addx736 add 1 -1 -> 0
  727. addx737 add -1 -1 -> -2
  728. addx738 add 1 1 -> 2
  729. addx739 add -1 1 -> 0
  730. addx741 add 0 -1 -> -1
  731. addx742 add -0 -1 -> -1
  732. addx743 add 0 1 -> 1
  733. addx744 add -0 1 -> 1
  734. addx745 add -1 0 -> -1
  735. addx746 add -1 -0 -> -1
  736. addx747 add 1 0 -> 1
  737. addx748 add 1 -0 -> 1
  738. addx751 add 0.0 -1 -> -1.0
  739. addx752 add -0.0 -1 -> -1.0
  740. addx753 add 0.0 1 -> 1.0
  741. addx754 add -0.0 1 -> 1.0
  742. addx755 add -1.0 0 -> -1.0
  743. addx756 add -1.0 -0 -> -1.0
  744. addx757 add 1.0 0 -> 1.0
  745. addx758 add 1.0 -0 -> 1.0
  746. addx761 add 0 -1.0 -> -1.0
  747. addx762 add -0 -1.0 -> -1.0
  748. addx763 add 0 1.0 -> 1.0
  749. addx764 add -0 1.0 -> 1.0
  750. addx765 add -1 0.0 -> -1.0
  751. addx766 add -1 -0.0 -> -1.0
  752. addx767 add 1 0.0 -> 1.0
  753. addx768 add 1 -0.0 -> 1.0
  754. addx771 add 0.0 -1.0 -> -1.0
  755. addx772 add -0.0 -1.0 -> -1.0
  756. addx773 add 0.0 1.0 -> 1.0
  757. addx774 add -0.0 1.0 -> 1.0
  758. addx775 add -1.0 0.0 -> -1.0
  759. addx776 add -1.0 -0.0 -> -1.0
  760. addx777 add 1.0 0.0 -> 1.0
  761. addx778 add 1.0 -0.0 -> 1.0
  762. -- Specials
  763. addx780 add -Inf -Inf -> -Infinity
  764. addx781 add -Inf -1000 -> -Infinity
  765. addx782 add -Inf -1 -> -Infinity
  766. addx783 add -Inf -0 -> -Infinity
  767. addx784 add -Inf 0 -> -Infinity
  768. addx785 add -Inf 1 -> -Infinity
  769. addx786 add -Inf 1000 -> -Infinity
  770. addx787 add -1000 -Inf -> -Infinity
  771. addx788 add -Inf -Inf -> -Infinity
  772. addx789 add -1 -Inf -> -Infinity
  773. addx790 add -0 -Inf -> -Infinity
  774. addx791 add 0 -Inf -> -Infinity
  775. addx792 add 1 -Inf -> -Infinity
  776. addx793 add 1000 -Inf -> -Infinity
  777. addx794 add Inf -Inf -> NaN Invalid_operation
  778. addx800 add Inf -Inf -> NaN Invalid_operation
  779. addx801 add Inf -1000 -> Infinity
  780. addx802 add Inf -1 -> Infinity
  781. addx803 add Inf -0 -> Infinity
  782. addx804 add Inf 0 -> Infinity
  783. addx805 add Inf 1 -> Infinity
  784. addx806 add Inf 1000 -> Infinity
  785. addx807 add Inf Inf -> Infinity
  786. addx808 add -1000 Inf -> Infinity
  787. addx809 add -Inf Inf -> NaN Invalid_operation
  788. addx810 add -1 Inf -> Infinity
  789. addx811 add -0 Inf -> Infinity
  790. addx812 add 0 Inf -> Infinity
  791. addx813 add 1 Inf -> Infinity
  792. addx814 add 1000 Inf -> Infinity
  793. addx815 add Inf Inf -> Infinity
  794. addx821 add NaN -Inf -> NaN
  795. addx822 add NaN -1000 -> NaN
  796. addx823 add NaN -1 -> NaN
  797. addx824 add NaN -0 -> NaN
  798. addx825 add NaN 0 -> NaN
  799. addx826 add NaN 1 -> NaN
  800. addx827 add NaN 1000 -> NaN
  801. addx828 add NaN Inf -> NaN
  802. addx829 add NaN NaN -> NaN
  803. addx830 add -Inf NaN -> NaN
  804. addx831 add -1000 NaN -> NaN
  805. addx832 add -1 NaN -> NaN
  806. addx833 add -0 NaN -> NaN
  807. addx834 add 0 NaN -> NaN
  808. addx835 add 1 NaN -> NaN
  809. addx836 add 1000 NaN -> NaN
  810. addx837 add Inf NaN -> NaN
  811. addx841 add sNaN -Inf -> NaN Invalid_operation
  812. addx842 add sNaN -1000 -> NaN Invalid_operation
  813. addx843 add sNaN -1 -> NaN Invalid_operation
  814. addx844 add sNaN -0 -> NaN Invalid_operation
  815. addx845 add sNaN 0 -> NaN Invalid_operation
  816. addx846 add sNaN 1 -> NaN Invalid_operation
  817. addx847 add sNaN 1000 -> NaN Invalid_operation
  818. addx848 add sNaN NaN -> NaN Invalid_operation
  819. addx849 add sNaN sNaN -> NaN Invalid_operation
  820. addx850 add NaN sNaN -> NaN Invalid_operation
  821. addx851 add -Inf sNaN -> NaN Invalid_operation
  822. addx852 add -1000 sNaN -> NaN Invalid_operation
  823. addx853 add -1 sNaN -> NaN Invalid_operation
  824. addx854 add -0 sNaN -> NaN Invalid_operation
  825. addx855 add 0 sNaN -> NaN Invalid_operation
  826. addx856 add 1 sNaN -> NaN Invalid_operation
  827. addx857 add 1000 sNaN -> NaN Invalid_operation
  828. addx858 add Inf sNaN -> NaN Invalid_operation
  829. addx859 add NaN sNaN -> NaN Invalid_operation
  830. -- propagating NaNs
  831. addx861 add NaN1 -Inf -> NaN1
  832. addx862 add +NaN2 -1000 -> NaN2
  833. addx863 add NaN3 1000 -> NaN3
  834. addx864 add NaN4 Inf -> NaN4
  835. addx865 add NaN5 +NaN6 -> NaN5
  836. addx866 add -Inf NaN7 -> NaN7
  837. addx867 add -1000 NaN8 -> NaN8
  838. addx868 add 1000 NaN9 -> NaN9
  839. addx869 add Inf +NaN10 -> NaN10
  840. addx871 add sNaN11 -Inf -> NaN11 Invalid_operation
  841. addx872 add sNaN12 -1000 -> NaN12 Invalid_operation
  842. addx873 add sNaN13 1000 -> NaN13 Invalid_operation
  843. addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation
  844. addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
  845. addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation
  846. addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation
  847. addx878 add -1000 sNaN21 -> NaN21 Invalid_operation
  848. addx879 add 1000 sNaN22 -> NaN22 Invalid_operation
  849. addx880 add Inf sNaN23 -> NaN23 Invalid_operation
  850. addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
  851. addx882 add -NaN26 NaN28 -> -NaN26
  852. addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
  853. addx884 add 1000 -NaN30 -> -NaN30
  854. addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
  855. -- overflow, underflow and subnormal tests
  856. maxexponent: 999999999
  857. minexponent: -999999999
  858. precision: 9
  859. addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded
  860. addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded
  861. addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal
  862. addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal
  863. addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal
  864. addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal
  865. addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded
  866. addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded
  867. addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal
  868. addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal
  869. addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal
  870. addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal
  871. addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999
  872. addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999
  873. precision: 3
  874. addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
  875. addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
  876. addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded
  877. addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
  878. precision: 3
  879. maxexponent: 999
  880. minexponent: -999
  881. addx910 add 1.00E-999 0 -> 1.00E-999
  882. addx911 add 0.1E-999 0 -> 1E-1000 Subnormal
  883. addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal
  884. addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
  885. addx914 add 0.01E-999 0 -> 1E-1001 Subnormal
  886. -- next is rounded to Nmin
  887. addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
  888. addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
  889. addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
  890. addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
  891. addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
  892. addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
  893. addx930 add -1.00E-999 0 -> -1.00E-999
  894. addx931 add -0.1E-999 0 -> -1E-1000 Subnormal
  895. addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal
  896. addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
  897. addx934 add -0.01E-999 0 -> -1E-1001 Subnormal
  898. -- next is rounded to Nmin
  899. addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
  900. addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
  901. addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
  902. addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
  903. addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
  904. addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
  905. -- some non-zero subnormal adds
  906. addx950 add 1.00E-999 0.1E-999 -> 1.10E-999
  907. addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
  908. addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
  909. addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
  910. addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
  911. addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
  912. addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
  913. addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
  914. addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
  915. addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
  916. addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
  917. -- negatives...
  918. addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
  919. addx962 add 0.1E-999 -0.1E-999 -> 0E-1000
  920. addx963 add 0.10E-999 -0.1E-999 -> 0E-1001
  921. addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
  922. addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
  923. addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
  924. addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
  925. addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
  926. addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
  927. addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
  928. addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
  929. -- some 'real' numbers
  930. maxExponent: 384
  931. minExponent: -383
  932. precision: 8
  933. addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
  934. precision: 7
  935. addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
  936. precision: 6
  937. addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal
  938. -- now the case where we can get underflow but the result is normal
  939. -- [note this can't happen if the operands are also bounded, as we
  940. -- cannot represent 1E-399, for example]
  941. precision: 16
  942. rounding: half_up
  943. maxExponent: 384
  944. minExponent: -383
  945. addx571 add 1E-383 0 -> 1E-383
  946. addx572 add 1E-384 0 -> 1E-384 Subnormal
  947. addx573 add 1E-383 1E-384 -> 1.1E-383
  948. addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
  949. -- Here we explore the boundary of rounding a subnormal to Nmin
  950. addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
  951. addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
  952. addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  953. addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  954. addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  955. addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  956. -- check overflow edge case
  957. precision: 7
  958. rounding: half_up
  959. maxExponent: 96
  960. minExponent: -95
  961. addx972 apply 9.999999E+96 -> 9.999999E+96
  962. addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded
  963. addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded
  964. addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded
  965. addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded
  966. addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded
  967. addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded
  968. addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded
  969. addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded
  970. addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded
  971. addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded
  972. addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded
  973. addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded
  974. addx985 apply -9.999999E+96 -> -9.999999E+96
  975. addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded
  976. addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded
  977. addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded
  978. addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded
  979. addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded
  980. addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded
  981. addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded
  982. addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded
  983. addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded
  984. addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded
  985. addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded
  986. addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded
  987. -- check for double-rounded subnormals
  988. precision: 5
  989. maxexponent: 79
  990. minexponent: -79
  991. -- Add: lhs and rhs 0
  992. addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  993. addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  994. addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  995. addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  996. addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  997. addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  998. -- Add: lhs >> rhs and vice versa
  999. addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  1000. addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  1001. addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  1002. addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  1003. addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  1004. addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
  1005. -- Add: lhs + rhs addition carried out
  1006. addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
  1007. addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
  1008. addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
  1009. addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
  1010. addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
  1011. addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
  1012. -- And for round down full and subnormal results
  1013. precision: 16
  1014. maxExponent: +384
  1015. minExponent: -383
  1016. rounding: down
  1017. addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
  1018. addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
  1019. addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
  1020. addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
  1021. addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
  1022. addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
  1023. addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
  1024. addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
  1025. addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
  1026. rounding: ceiling
  1027. addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
  1028. addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
  1029. addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
  1030. addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
  1031. addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
  1032. addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
  1033. addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
  1034. addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
  1035. addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
  1036. addx1120 add +1e-383 -1e+2 -> -99.99999999999999 Rounded Inexact
  1037. addx1121 add +1e-383 -1e+1 -> -9.999999999999999 Rounded Inexact
  1038. addx1123 add +1e-383 -1 -> -0.9999999999999999 Rounded Inexact
  1039. addx1124 add +1e-383 -1e-1 -> -0.09999999999999999 Rounded Inexact
  1040. addx1125 add +1e-383 -1e-2 -> -0.009999999999999999 Rounded Inexact
  1041. addx1126 add +1e-383 -1e-3 -> -0.0009999999999999999 Rounded Inexact
  1042. addx1127 add +1e-383 -1e-4 -> -0.00009999999999999999 Rounded Inexact
  1043. addx1128 add +1e-383 -1e-5 -> -0.000009999999999999999 Rounded Inexact
  1044. addx1129 add +1e-383 -1e-6 -> -9.999999999999999E-7 Rounded Inexact
  1045. rounding: down
  1046. precision: 7
  1047. maxExponent: +96
  1048. minExponent: -95
  1049. addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact
  1050. -- subnormal boundary
  1051. addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
  1052. addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
  1053. addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
  1054. addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
  1055. addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
  1056. addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
  1057. addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
  1058. addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
  1059. addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
  1060. addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
  1061. addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
  1062. addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
  1063. addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
  1064. addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
  1065. addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
  1066. addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
  1067. addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
  1068. addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
  1069. addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
  1070. addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
  1071. addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
  1072. addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
  1073. addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
  1074. -- tests based on Gunnar Degnbol's edge case
  1075. precision: 15
  1076. rounding: half_up
  1077. maxExponent: 384
  1078. minexponent: -383
  1079. addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
  1080. addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
  1081. addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded
  1082. addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded
  1083. addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded
  1084. addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded
  1085. addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded
  1086. addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
  1087. addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
  1088. addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
  1089. addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
  1090. addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
  1091. addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
  1092. addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
  1093. addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
  1094. addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
  1095. addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
  1096. addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
  1097. addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
  1098. precision: 16
  1099. addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
  1100. addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
  1101. addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
  1102. addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
  1103. addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
  1104. addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
  1105. addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
  1106. addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
  1107. addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
  1108. addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
  1109. addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
  1110. addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
  1111. addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
  1112. addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
  1113. addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
  1114. addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
  1115. addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1116. addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1117. addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1118. addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1119. addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
  1120. addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
  1121. addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
  1122. addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
  1123. addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
  1124. addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
  1125. addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
  1126. addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
  1127. addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
  1128. addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
  1129. addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
  1130. addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
  1131. addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
  1132. addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
  1133. addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
  1134. addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
  1135. addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
  1136. addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
  1137. addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
  1138. addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
  1139. addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
  1140. addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
  1141. addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
  1142. addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
  1143. addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
  1144. addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
  1145. addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
  1146. addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
  1147. addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
  1148. addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1149. addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1150. addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1151. addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
  1152. addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
  1153. addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
  1154. addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
  1155. addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
  1156. addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
  1157. addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
  1158. addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
  1159. addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
  1160. addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
  1161. addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
  1162. addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
  1163. addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
  1164. addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
  1165. addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
  1166. addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
  1167. addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
  1168. addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
  1169. addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
  1170. addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
  1171. addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
  1172. addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
  1173. addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
  1174. addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
  1175. addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
  1176. addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
  1177. addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
  1178. addx1396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
  1179. -- More GD edge cases, where difference between the unadjusted
  1180. -- exponents is larger than the maximum precision and one side is 0
  1181. precision: 15
  1182. rounding: half_up
  1183. maxExponent: 384
  1184. minexponent: -383
  1185. addx1400 add 0 1.23456789012345 -> 1.23456789012345
  1186. addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345
  1187. addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345
  1188. addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345
  1189. addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345
  1190. addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345
  1191. addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345
  1192. addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7
  1193. addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8
  1194. addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9
  1195. addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10
  1196. addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11
  1197. addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12
  1198. addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13
  1199. addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14
  1200. addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15
  1201. addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16
  1202. addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17
  1203. addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18
  1204. addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19
  1205. -- same, precision 16..
  1206. precision: 16
  1207. addx1420 add 0 1.123456789012345 -> 1.123456789012345
  1208. addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345
  1209. addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345
  1210. addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345
  1211. addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
  1212. addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
  1213. addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
  1214. addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
  1215. addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
  1216. addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
  1217. addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
  1218. addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
  1219. addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
  1220. addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
  1221. addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
  1222. addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
  1223. addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
  1224. addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
  1225. addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
  1226. addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
  1227. -- same, reversed 0
  1228. addx1440 add 1.123456789012345 0 -> 1.123456789012345
  1229. addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345
  1230. addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345
  1231. addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345
  1232. addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
  1233. addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
  1234. addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
  1235. addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
  1236. addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
  1237. addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
  1238. addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
  1239. addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
  1240. addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
  1241. addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
  1242. addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
  1243. addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
  1244. addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
  1245. addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
  1246. addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
  1247. addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
  1248. -- same, Es on the 0
  1249. addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345
  1250. addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345
  1251. addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345
  1252. addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345
  1253. addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345
  1254. addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345
  1255. addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345
  1256. addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345
  1257. addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345
  1258. addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345
  1259. addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345
  1260. addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345
  1261. addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345
  1262. addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345
  1263. addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345
  1264. addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345
  1265. -- next four flag Rounded because the 0 extends the result
  1266. addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
  1267. addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
  1268. addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
  1269. addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
  1270. -- sum of two opposite-sign operands is exactly 0 and floor => -0
  1271. precision: 16
  1272. maxExponent: 384
  1273. minexponent: -383
  1274. rounding: half_up
  1275. -- exact zeros from zeros
  1276. addx1500 add 0 0E-19 -> 0E-19
  1277. addx1501 add -0 0E-19 -> 0E-19
  1278. addx1502 add 0 -0E-19 -> 0E-19
  1279. addx1503 add -0 -0E-19 -> -0E-19
  1280. addx1504 add 0E-400 0E-19 -> 0E-398 Clamped
  1281. addx1505 add -0E-400 0E-19 -> 0E-398 Clamped
  1282. addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped
  1283. addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped
  1284. -- inexact zeros
  1285. addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1286. addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1287. addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1288. addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1289. -- some exact zeros from non-zeros
  1290. addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1291. addx1516 add -1E-401 1E-401 -> 0E-398 Clamped
  1292. addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped
  1293. addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1294. rounding: half_down
  1295. -- exact zeros from zeros
  1296. addx1520 add 0 0E-19 -> 0E-19
  1297. addx1521 add -0 0E-19 -> 0E-19
  1298. addx1522 add 0 -0E-19 -> 0E-19
  1299. addx1523 add -0 -0E-19 -> -0E-19
  1300. addx1524 add 0E-400 0E-19 -> 0E-398 Clamped
  1301. addx1525 add -0E-400 0E-19 -> 0E-398 Clamped
  1302. addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped
  1303. addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped
  1304. -- inexact zeros
  1305. addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1306. addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1307. addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1308. addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1309. -- some exact zeros from non-zeros
  1310. addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1311. addx1536 add -1E-401 1E-401 -> 0E-398 Clamped
  1312. addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped
  1313. addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1314. rounding: half_even
  1315. -- exact zeros from zeros
  1316. addx1540 add 0 0E-19 -> 0E-19
  1317. addx1541 add -0 0E-19 -> 0E-19
  1318. addx1542 add 0 -0E-19 -> 0E-19
  1319. addx1543 add -0 -0E-19 -> -0E-19
  1320. addx1544 add 0E-400 0E-19 -> 0E-398 Clamped
  1321. addx1545 add -0E-400 0E-19 -> 0E-398 Clamped
  1322. addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped
  1323. addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped
  1324. -- inexact zeros
  1325. addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1326. addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1327. addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1328. addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1329. -- some exact zeros from non-zeros
  1330. addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1331. addx1556 add -1E-401 1E-401 -> 0E-398 Clamped
  1332. addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped
  1333. addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1334. rounding: up
  1335. -- exact zeros from zeros
  1336. addx1560 add 0 0E-19 -> 0E-19
  1337. addx1561 add -0 0E-19 -> 0E-19
  1338. addx1562 add 0 -0E-19 -> 0E-19
  1339. addx1563 add -0 -0E-19 -> -0E-19
  1340. addx1564 add 0E-400 0E-19 -> 0E-398 Clamped
  1341. addx1565 add -0E-400 0E-19 -> 0E-398 Clamped
  1342. addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped
  1343. addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped
  1344. -- inexact zeros
  1345. addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  1346. addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  1347. addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  1348. addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  1349. -- some exact zeros from non-zeros
  1350. addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
  1351. addx1576 add -1E-401 1E-401 -> 0E-398 Clamped
  1352. addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped
  1353. addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
  1354. rounding: down
  1355. -- exact zeros from zeros
  1356. addx1580 add 0 0E-19 -> 0E-19
  1357. addx1581 add -0 0E-19 -> 0E-19
  1358. addx1582 add 0 -0E-19 -> 0E-19
  1359. addx1583 add -0 -0E-19 -> -0E-19
  1360. addx1584 add 0E-400 0E-19 -> 0E-398 Clamped
  1361. addx1585 add -0E-400 0E-19 -> 0E-398 Clamped
  1362. addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped
  1363. addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped
  1364. -- inexact zeros
  1365. addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1366. addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1367. addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1368. addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1369. -- some exact zeros from non-zeros
  1370. addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1371. addx1596 add -1E-401 1E-401 -> 0E-398 Clamped
  1372. addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped
  1373. addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1374. rounding: ceiling
  1375. -- exact zeros from zeros
  1376. addx1600 add 0 0E-19 -> 0E-19
  1377. addx1601 add -0 0E-19 -> 0E-19
  1378. addx1602 add 0 -0E-19 -> 0E-19
  1379. addx1603 add -0 -0E-19 -> -0E-19
  1380. addx1604 add 0E-400 0E-19 -> 0E-398 Clamped
  1381. addx1605 add -0E-400 0E-19 -> 0E-398 Clamped
  1382. addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped
  1383. addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped
  1384. -- inexact zeros
  1385. addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  1386. addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  1387. addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1388. addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1389. -- some exact zeros from non-zeros
  1390. addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
  1391. addx1616 add -1E-401 1E-401 -> 0E-398 Clamped
  1392. addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped
  1393. addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  1394. -- and the extra-special ugly case; unusual minuses marked by -- *
  1395. rounding: floor
  1396. -- exact zeros from zeros
  1397. addx1620 add 0 0E-19 -> 0E-19
  1398. addx1621 add -0 0E-19 -> -0E-19 -- *
  1399. addx1622 add 0 -0E-19 -> -0E-19 -- *
  1400. addx1623 add -0 -0E-19 -> -0E-19
  1401. addx1624 add 0E-400 0E-19 -> 0E-398 Clamped
  1402. addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
  1403. addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
  1404. addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped
  1405. -- inexact zeros
  1406. addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1407. addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1408. addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  1409. addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  1410. -- some exact zeros from non-zeros
  1411. addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  1412. addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
  1413. addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
  1414. addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
  1415. -- BigDecimal problem testcases 2006.01.23
  1416. precision: 16
  1417. maxExponent: 384
  1418. minexponent: -383
  1419. rounding: down
  1420. precision: 7
  1421. addx1651 add 10001E+2 -2E+1 -> 1.00008E+6
  1422. precision: 6
  1423. addx1652 add 10001E+2 -2E+1 -> 1.00008E+6
  1424. precision: 5
  1425. addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
  1426. precision: 4
  1427. addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
  1428. precision: 3
  1429. addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
  1430. precision: 2
  1431. addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
  1432. precision: 1
  1433. addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
  1434. rounding: half_even
  1435. precision: 7
  1436. addx1661 add 10001E+2 -2E+1 -> 1.00008E+6
  1437. precision: 6
  1438. addx1662 add 10001E+2 -2E+1 -> 1.00008E+6
  1439. precision: 5
  1440. addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
  1441. precision: 4
  1442. addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
  1443. precision: 3
  1444. addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
  1445. precision: 2
  1446. addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
  1447. precision: 1
  1448. addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
  1449. rounding: up
  1450. precision: 7
  1451. addx1671 add 10001E+2 -2E+1 -> 1.00008E+6
  1452. precision: 6
  1453. addx1672 add 10001E+2 -2E+1 -> 1.00008E+6
  1454. precision: 5
  1455. addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
  1456. precision: 4
  1457. addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
  1458. precision: 3
  1459. addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
  1460. precision: 2
  1461. addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
  1462. precision: 1
  1463. addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
  1464. precision: 34
  1465. rounding: half_up
  1466. maxExponent: 6144
  1467. minExponent: -6143
  1468. -- Examples from SQL proposal (Krishna Kulkarni)
  1469. addx1701 add 130E-2 120E-2 -> 2.50
  1470. addx1702 add 130E-2 12E-1 -> 2.50
  1471. addx1703 add 130E-2 1E0 -> 2.30
  1472. addx1704 add 1E2 1E4 -> 1.01E+4
  1473. addx1705 subtract 130E-2 120E-2 -> 0.10
  1474. addx1706 subtract 130E-2 12E-1 -> 0.10
  1475. addx1707 subtract 130E-2 1E0 -> 0.30
  1476. addx1708 subtract 1E2 1E4 -> -9.9E+3
  1477. ------------------------------------------------------------------------
  1478. -- Same as above, using decimal64 default parameters --
  1479. ------------------------------------------------------------------------
  1480. precision: 16
  1481. rounding: half_even
  1482. maxExponent: 384
  1483. minexponent: -383
  1484. -- [first group are 'quick confidence check']
  1485. addx6001 add 1 1 -> 2
  1486. addx6002 add 2 3 -> 5
  1487. addx6003 add '5.75' '3.3' -> 9.05
  1488. addx6004 add '5' '-3' -> 2
  1489. addx6005 add '-5' '-3' -> -8
  1490. addx6006 add '-7' '2.5' -> -4.5
  1491. addx6007 add '0.7' '0.3' -> 1.0
  1492. addx6008 add '1.25' '1.25' -> 2.50
  1493. addx6009 add '1.23456789' '1.00000000' -> '2.23456789'
  1494. addx6010 add '1.23456789' '1.00000011' -> '2.23456800'
  1495. addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
  1496. addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
  1497. addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
  1498. addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
  1499. addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
  1500. addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
  1501. addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
  1502. addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
  1503. addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
  1504. addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
  1505. addx6021 add 0 1 -> 1
  1506. addx6022 add 1 1 -> 2
  1507. addx6023 add 2 1 -> 3
  1508. addx6024 add 3 1 -> 4
  1509. addx6025 add 4 1 -> 5
  1510. addx6026 add 5 1 -> 6
  1511. addx6027 add 6 1 -> 7
  1512. addx6028 add 7 1 -> 8
  1513. addx6029 add 8 1 -> 9
  1514. addx6030 add 9 1 -> 10
  1515. -- some carrying effects
  1516. addx6031 add '0.9998' '0.0000' -> '0.9998'
  1517. addx6032 add '0.9998' '0.0001' -> '0.9999'
  1518. addx6033 add '0.9998' '0.0002' -> '1.0000'
  1519. addx6034 add '0.9998' '0.0003' -> '1.0001'
  1520. addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
  1521. addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
  1522. addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
  1523. addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
  1524. addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
  1525. -- symmetry:
  1526. addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
  1527. addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
  1528. addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
  1529. addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
  1530. addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
  1531. addx6046 add '10000e+9' '7' -> '10000000000007'
  1532. addx6047 add '10000e+9' '70' -> '10000000000070'
  1533. addx6048 add '10000e+9' '700' -> '10000000000700'
  1534. addx6049 add '10000e+9' '7000' -> '10000000007000'
  1535. addx6050 add '10000e+9' '70000' -> '10000000070000'
  1536. addx6051 add '10000e+9' '700000' -> '10000000700000'
  1537. -- examples from decarith
  1538. addx6053 add '12' '7.00' -> '19.00'
  1539. addx6054 add '1.3' '-1.07' -> '0.23'
  1540. addx6055 add '1.3' '-1.30' -> '0.00'
  1541. addx6056 add '1.3' '-2.07' -> '-0.77'
  1542. addx6057 add '1E+2' '1E+4' -> '1.01E+4'
  1543. -- from above
  1544. addx6060 add 1 '0.1' -> '1.1'
  1545. addx6061 add 1 '0.01' -> '1.01'
  1546. addx6062 add 1 '0.001' -> '1.001'
  1547. addx6063 add 1 '0.0001' -> '1.0001'
  1548. addx6064 add 1 '0.00001' -> '1.00001'
  1549. addx6065 add 1 '0.000001' -> '1.000001'
  1550. addx6066 add 1 '0.0000001' -> '1.0000001'
  1551. addx6067 add 1 '0.00000001' -> '1.00000001'
  1552. -- cancellation to integer
  1553. addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789
  1554. -- similar from FMA fun
  1555. addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546
  1556. -- some funny zeros [in case of bad signum]
  1557. addx6070 add 1 0 -> 1
  1558. addx6071 add 1 0. -> 1
  1559. addx6072 add 1 .0 -> 1.0
  1560. addx6073 add 1 0.0 -> 1.0
  1561. addx6074 add 1 0.00 -> 1.00
  1562. addx6075 add 0 1 -> 1
  1563. addx6076 add 0. 1 -> 1
  1564. addx6077 add .0 1 -> 1.0
  1565. addx6078 add 0.0 1 -> 1.0
  1566. addx6079 add 0.00 1 -> 1.00
  1567. -- some carries
  1568. addx6080 add 9999999999999998 1 -> 9999999999999999
  1569. addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded
  1570. addx6082 add 999999999999999 1 -> 1000000000000000
  1571. addx6083 add 9999999999999 1 -> 10000000000000
  1572. addx6084 add 99999999999 1 -> 100000000000
  1573. addx6085 add 999999999 1 -> 1000000000
  1574. addx6086 add 9999999 1 -> 10000000
  1575. addx6087 add 99999 1 -> 100000
  1576. addx6088 add 999 1 -> 1000
  1577. addx6089 add 9 1 -> 10
  1578. -- more LHS swaps
  1579. addx6090 add '-56267E-10' 0 -> '-0.0000056267'
  1580. addx6091 add '-56267E-6' 0 -> '-0.056267'
  1581. addx6092 add '-56267E-5' 0 -> '-0.56267'
  1582. addx6093 add '-56267E-4' 0 -> '-5.6267'
  1583. addx6094 add '-56267E-3' 0 -> '-56.267'
  1584. addx6095 add '-56267E-2' 0 -> '-562.67'
  1585. addx6096 add '-56267E-1' 0 -> '-5626.7'
  1586. addx6097 add '-56267E-0' 0 -> '-56267'
  1587. addx6098 add '-5E-10' 0 -> '-5E-10'
  1588. addx6099 add '-5E-7' 0 -> '-5E-7'
  1589. addx6100 add '-5E-6' 0 -> '-0.000005'
  1590. addx6101 add '-5E-5' 0 -> '-0.00005'
  1591. addx6102 add '-5E-4' 0 -> '-0.0005'
  1592. addx6103 add '-5E-1' 0 -> '-0.5'
  1593. addx6104 add '-5E0' 0 -> '-5'
  1594. addx6105 add '-5E1' 0 -> '-50'
  1595. addx6106 add '-5E5' 0 -> '-500000'
  1596. addx6107 add '-5E15' 0 -> '-5000000000000000'
  1597. addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded
  1598. addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded
  1599. addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded
  1600. addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded
  1601. -- more RHS swaps
  1602. addx6113 add 0 '-56267E-10' -> '-0.0000056267'
  1603. addx6114 add 0 '-56267E-6' -> '-0.056267'
  1604. addx6116 add 0 '-56267E-5' -> '-0.56267'
  1605. addx6117 add 0 '-56267E-4' -> '-5.6267'
  1606. addx6119 add 0 '-56267E-3' -> '-56.267'
  1607. addx6120 add 0 '-56267E-2' -> '-562.67'
  1608. addx6121 add 0 '-56267E-1' -> '-5626.7'
  1609. addx6122 add 0 '-56267E-0' -> '-56267'
  1610. addx6123 add 0 '-5E-10' -> '-5E-10'
  1611. addx6124 add 0 '-5E-7' -> '-5E-7'
  1612. addx6125 add 0 '-5E-6' -> '-0.000005'
  1613. addx6126 add 0 '-5E-5' -> '-0.00005'
  1614. addx6127 add 0 '-5E-4' -> '-0.0005'
  1615. addx6128 add 0 '-5E-1' -> '-0.5'
  1616. addx6129 add 0 '-5E0' -> '-5'
  1617. addx6130 add 0 '-5E1' -> '-50'
  1618. addx6131 add 0 '-5E5' -> '-500000'
  1619. addx6132 add 0 '-5E15' -> '-5000000000000000'
  1620. addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded
  1621. addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded
  1622. addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded
  1623. addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded
  1624. -- related
  1625. addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded
  1626. addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded
  1627. addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded
  1628. addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded
  1629. addx6141 add 1E+11 0.0000 -> '100000000000.0000'
  1630. addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded
  1631. addx6143 add 0.000 1E+12 -> '1000000000000.000'
  1632. addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded
  1633. -- [some of the next group are really constructor tests]
  1634. addx6146 add '00.0' 0 -> '0.0'
  1635. addx6147 add '0.00' 0 -> '0.00'
  1636. addx6148 add 0 '0.00' -> '0.00'
  1637. addx6149 add 0 '00.0' -> '0.0'
  1638. addx6150 add '00.0' '0.00' -> '0.00'
  1639. addx6151 add '0.00' '00.0' -> '0.00'
  1640. addx6152 add '3' '.3' -> '3.3'
  1641. addx6153 add '3.' '.3' -> '3.3'
  1642. addx6154 add '3.0' '.3' -> '3.3'
  1643. addx6155 add '3.00' '.3' -> '3.30'
  1644. addx6156 add '3' '3' -> '6'
  1645. addx6157 add '3' '+3' -> '6'
  1646. addx6158 add '3' '-3' -> '0'
  1647. addx6159 add '0.3' '-0.3' -> '0.0'
  1648. addx6160 add '0.03' '-0.03' -> '0.00'
  1649. -- try borderline precision, with carries, etc.
  1650. addx6161 add '1E+13' '-1' -> '9999999999999'
  1651. addx6162 add '1E+13' '1.11' -> '10000000000001.11'
  1652. addx6163 add '1.11' '1E+13' -> '10000000000001.11'
  1653. addx6164 add '-1' '1E+13' -> '9999999999999'
  1654. addx6165 add '7E+13' '-1' -> '69999999999999'
  1655. addx6166 add '7E+13' '1.11' -> '70000000000001.11'
  1656. addx6167 add '1.11' '7E+13' -> '70000000000001.11'
  1657. addx6168 add '-1' '7E+13' -> '69999999999999'
  1658. -- 1234567890123456 1234567890123456 1 234567890123456
  1659. addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
  1660. addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
  1661. addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
  1662. addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
  1663. addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
  1664. addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
  1665. addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
  1666. addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
  1667. addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
  1668. addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
  1669. addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
  1670. addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
  1671. addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
  1672. addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
  1673. -- and some more, including residue effects and different roundings
  1674. rounding: half_up
  1675. addx6200 add '6543210123456789' 0 -> '6543210123456789'
  1676. addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
  1677. addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
  1678. addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
  1679. addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
  1680. addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
  1681. addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
  1682. addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
  1683. addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
  1684. addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
  1685. addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
  1686. addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
  1687. addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
  1688. addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
  1689. addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
  1690. addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
  1691. addx6216 add '6543210123456789' 1 -> '6543210123456790'
  1692. addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
  1693. addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
  1694. addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
  1695. rounding: half_even
  1696. addx6220 add '6543210123456789' 0 -> '6543210123456789'
  1697. addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
  1698. addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
  1699. addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
  1700. addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
  1701. addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
  1702. addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
  1703. addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
  1704. addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
  1705. addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
  1706. addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
  1707. addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
  1708. addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
  1709. addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
  1710. addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
  1711. addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
  1712. addx6236 add '6543210123456789' 1 -> '6543210123456790'
  1713. addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
  1714. addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
  1715. addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
  1716. -- critical few with even bottom digit...
  1717. addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
  1718. addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
  1719. addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
  1720. rounding: down
  1721. addx6250 add '6543210123456789' 0 -> '6543210123456789'
  1722. addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
  1723. addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
  1724. addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
  1725. addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
  1726. addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
  1727. addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
  1728. addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
  1729. addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
  1730. addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
  1731. addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
  1732. addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
  1733. addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
  1734. addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
  1735. addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
  1736. addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
  1737. addx6266 add '6543210123456789' 1 -> '6543210123456790'
  1738. addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
  1739. addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
  1740. addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
  1741. -- 1 in last place tests
  1742. rounding: half_even
  1743. addx6301 add -1 1 -> 0
  1744. addx6302 add 0 1 -> 1
  1745. addx6303 add 1 1 -> 2
  1746. addx6304 add 12 1 -> 13
  1747. addx6305 add 98 1 -> 99
  1748. addx6306 add 99 1 -> 100
  1749. addx6307 add 100 1 -> 101
  1750. addx6308 add 101 1 -> 102
  1751. addx6309 add -1 -1 -> -2
  1752. addx6310 add 0 -1 -> -1
  1753. addx6311 add 1 -1 -> 0
  1754. addx6312 add 12 -1 -> 11
  1755. addx6313 add 98 -1 -> 97
  1756. addx6314 add 99 -1 -> 98
  1757. addx6315 add 100 -1 -> 99
  1758. addx6316 add 101 -1 -> 100
  1759. addx6321 add -0.01 0.01 -> 0.00
  1760. addx6322 add 0.00 0.01 -> 0.01
  1761. addx6323 add 0.01 0.01 -> 0.02
  1762. addx6324 add 0.12 0.01 -> 0.13
  1763. addx6325 add 0.98 0.01 -> 0.99
  1764. addx6326 add 0.99 0.01 -> 1.00
  1765. addx6327 add 1.00 0.01 -> 1.01
  1766. addx6328 add 1.01 0.01 -> 1.02
  1767. addx6329 add -0.01 -0.01 -> -0.02
  1768. addx6330 add 0.00 -0.01 -> -0.01
  1769. addx6331 add 0.01 -0.01 -> 0.00
  1770. addx6332 add 0.12 -0.01 -> 0.11
  1771. addx6333 add 0.98 -0.01 -> 0.97
  1772. addx6334 add 0.99 -0.01 -> 0.98
  1773. addx6335 add 1.00 -0.01 -> 0.99
  1774. addx6336 add 1.01 -0.01 -> 1.00
  1775. -- some more cases where adding 0 affects the coefficient
  1776. addx6340 add 1E+3 0 -> 1000
  1777. addx6341 add 1E+15 0 -> 1000000000000000
  1778. addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded
  1779. addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded
  1780. -- which simply follow from these cases ...
  1781. addx6344 add 1E+3 1 -> 1001
  1782. addx6345 add 1E+15 1 -> 1000000000000001
  1783. addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
  1784. addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
  1785. addx6348 add 1E+3 7 -> 1007
  1786. addx6349 add 1E+15 7 -> 1000000000000007
  1787. addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
  1788. addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
  1789. -- tryzeros cases
  1790. addx6361 add 0E+50 10000E+1 -> 1.0000E+5
  1791. addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded
  1792. addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
  1793. addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded
  1794. -- ulp replacement tests
  1795. addx6400 add 1 77e-14 -> 1.00000000000077
  1796. addx6401 add 1 77e-15 -> 1.000000000000077
  1797. addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded
  1798. addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded
  1799. addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded
  1800. addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded
  1801. addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded
  1802. addx6410 add 10 77e-14 -> 10.00000000000077
  1803. addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded
  1804. addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded
  1805. addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded
  1806. addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded
  1807. addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded
  1808. addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded
  1809. addx6420 add 77e-14 1 -> 1.00000000000077
  1810. addx6421 add 77e-15 1 -> 1.000000000000077
  1811. addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded
  1812. addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded
  1813. addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded
  1814. addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded
  1815. addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded
  1816. addx6430 add 77e-14 10 -> 10.00000000000077
  1817. addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded
  1818. addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded
  1819. addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded
  1820. addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded
  1821. addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded
  1822. addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded
  1823. -- negative ulps
  1824. addx6440 add 1 -77e-14 -> 0.99999999999923
  1825. addx6441 add 1 -77e-15 -> 0.999999999999923
  1826. addx6442 add 1 -77e-16 -> 0.9999999999999923
  1827. addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
  1828. addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
  1829. addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded
  1830. addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded
  1831. addx6450 add 10 -77e-14 -> 9.99999999999923
  1832. addx6451 add 10 -77e-15 -> 9.999999999999923
  1833. addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded
  1834. addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded
  1835. addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded
  1836. addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded
  1837. addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded
  1838. addx6460 add -77e-14 1 -> 0.99999999999923
  1839. addx6461 add -77e-15 1 -> 0.999999999999923
  1840. addx6462 add -77e-16 1 -> 0.9999999999999923
  1841. addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded
  1842. addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded
  1843. addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded
  1844. addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded
  1845. addx6470 add -77e-14 10 -> 9.99999999999923
  1846. addx6471 add -77e-15 10 -> 9.999999999999923
  1847. addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded
  1848. addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded
  1849. addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded
  1850. addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded
  1851. addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded
  1852. -- negative ulps
  1853. addx6480 add -1 77e-14 -> -0.99999999999923
  1854. addx6481 add -1 77e-15 -> -0.999999999999923
  1855. addx6482 add -1 77e-16 -> -0.9999999999999923
  1856. addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded
  1857. addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded
  1858. addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded
  1859. addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded
  1860. addx6490 add -10 77e-14 -> -9.99999999999923
  1861. addx6491 add -10 77e-15 -> -9.999999999999923
  1862. addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded
  1863. addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded
  1864. addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded
  1865. addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded
  1866. addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded
  1867. addx6500 add 77e-14 -1 -> -0.99999999999923
  1868. addx6501 add 77e-15 -1 -> -0.999999999999923
  1869. addx6502 add 77e-16 -1 -> -0.9999999999999923
  1870. addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
  1871. addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
  1872. addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded
  1873. addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded
  1874. addx6510 add 77e-14 -10 -> -9.99999999999923
  1875. addx6511 add 77e-15 -10 -> -9.999999999999923
  1876. addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded
  1877. addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded
  1878. addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded
  1879. addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded
  1880. addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded
  1881. -- long operands
  1882. addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded
  1883. addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded
  1884. addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded
  1885. addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded
  1886. addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded
  1887. addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded
  1888. addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
  1889. addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
  1890. addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
  1891. addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
  1892. addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
  1893. addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
  1894. -- verify a query
  1895. rounding: down
  1896. addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
  1897. addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
  1898. -- and using decimal64 bounds...
  1899. rounding: down
  1900. addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
  1901. addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
  1902. -- more zeros, etc.
  1903. rounding: half_even
  1904. addx6701 add 5.00 1.00E-3 -> 5.00100
  1905. addx6702 add 00.00 0.000 -> 0.000
  1906. addx6703 add 00.00 0E-3 -> 0.000
  1907. addx6704 add 0E-3 00.00 -> 0.000
  1908. addx6710 add 0E+3 00.00 -> 0.00
  1909. addx6711 add 0E+3 00.0 -> 0.0
  1910. addx6712 add 0E+3 00. -> 0
  1911. addx6713 add 0E+3 00.E+1 -> 0E+1
  1912. addx6714 add 0E+3 00.E+2 -> 0E+2
  1913. addx6715 add 0E+3 00.E+3 -> 0E+3
  1914. addx6716 add 0E+3 00.E+4 -> 0E+3
  1915. addx6717 add 0E+3 00.E+5 -> 0E+3
  1916. addx6718 add 0E+3 -00.0 -> 0.0
  1917. addx6719 add 0E+3 -00. -> 0
  1918. addx6731 add 0E+3 -00.E+1 -> 0E+1
  1919. addx6720 add 00.00 0E+3 -> 0.00
  1920. addx6721 add 00.0 0E+3 -> 0.0
  1921. addx6722 add 00. 0E+3 -> 0
  1922. addx6723 add 00.E+1 0E+3 -> 0E+1
  1923. addx6724 add 00.E+2 0E+3 -> 0E+2
  1924. addx6725 add 00.E+3 0E+3 -> 0E+3
  1925. addx6726 add 00.E+4 0E+3 -> 0E+3
  1926. addx6727 add 00.E+5 0E+3 -> 0E+3
  1927. addx6728 add -00.00 0E+3 -> 0.00
  1928. addx6729 add -00.0 0E+3 -> 0.0
  1929. addx6730 add -00. 0E+3 -> 0
  1930. addx6732 add 0 0 -> 0
  1931. addx6733 add 0 -0 -> 0
  1932. addx6734 add -0 0 -> 0
  1933. addx6735 add -0 -0 -> -0 -- IEEE 854 special case
  1934. addx6736 add 1 -1 -> 0
  1935. addx6737 add -1 -1 -> -2
  1936. addx6738 add 1 1 -> 2
  1937. addx6739 add -1 1 -> 0
  1938. addx6741 add 0 -1 -> -1
  1939. addx6742 add -0 -1 -> -1
  1940. addx6743 add 0 1 -> 1
  1941. addx6744 add -0 1 -> 1
  1942. addx6745 add -1 0 -> -1
  1943. addx6746 add -1 -0 -> -1
  1944. addx6747 add 1 0 -> 1
  1945. addx6748 add 1 -0 -> 1
  1946. addx6751 add 0.0 -1 -> -1.0
  1947. addx6752 add -0.0 -1 -> -1.0
  1948. addx6753 add 0.0 1 -> 1.0
  1949. addx6754 add -0.0 1 -> 1.0
  1950. addx6755 add -1.0 0 -> -1.0
  1951. addx6756 add -1.0 -0 -> -1.0
  1952. addx6757 add 1.0 0 -> 1.0
  1953. addx6758 add 1.0 -0 -> 1.0
  1954. addx6761 add 0 -1.0 -> -1.0
  1955. addx6762 add -0 -1.0 -> -1.0
  1956. addx6763 add 0 1.0 -> 1.0
  1957. addx6764 add -0 1.0 -> 1.0
  1958. addx6765 add -1 0.0 -> -1.0
  1959. addx6766 add -1 -0.0 -> -1.0
  1960. addx6767 add 1 0.0 -> 1.0
  1961. addx6768 add 1 -0.0 -> 1.0
  1962. addx6771 add 0.0 -1.0 -> -1.0
  1963. addx6772 add -0.0 -1.0 -> -1.0
  1964. addx6773 add 0.0 1.0 -> 1.0
  1965. addx6774 add -0.0 1.0 -> 1.0
  1966. addx6775 add -1.0 0.0 -> -1.0
  1967. addx6776 add -1.0 -0.0 -> -1.0
  1968. addx6777 add 1.0 0.0 -> 1.0
  1969. addx6778 add 1.0 -0.0 -> 1.0
  1970. -- Specials
  1971. addx6780 add -Inf -Inf -> -Infinity
  1972. addx6781 add -Inf -1000 -> -Infinity
  1973. addx6782 add -Inf -1 -> -Infinity
  1974. addx6783 add -Inf -0 -> -Infinity
  1975. addx6784 add -Inf 0 -> -Infinity
  1976. addx6785 add -Inf 1 -> -Infinity
  1977. addx6786 add -Inf 1000 -> -Infinity
  1978. addx6787 add -1000 -Inf -> -Infinity
  1979. addx6788 add -Inf -Inf -> -Infinity
  1980. addx6789 add -1 -Inf -> -Infinity
  1981. addx6790 add -0 -Inf -> -Infinity
  1982. addx6791 add 0 -Inf -> -Infinity
  1983. addx6792 add 1 -Inf -> -Infinity
  1984. addx6793 add 1000 -Inf -> -Infinity
  1985. addx6794 add Inf -Inf -> NaN Invalid_operation
  1986. addx6800 add Inf -Inf -> NaN Invalid_operation
  1987. addx6801 add Inf -1000 -> Infinity
  1988. addx6802 add Inf -1 -> Infinity
  1989. addx6803 add Inf -0 -> Infinity
  1990. addx6804 add Inf 0 -> Infinity
  1991. addx6805 add Inf 1 -> Infinity
  1992. addx6806 add Inf 1000 -> Infinity
  1993. addx6807 add Inf Inf -> Infinity
  1994. addx6808 add -1000 Inf -> Infinity
  1995. addx6809 add -Inf Inf -> NaN Invalid_operation
  1996. addx6810 add -1 Inf -> Infinity
  1997. addx6811 add -0 Inf -> Infinity
  1998. addx6812 add 0 Inf -> Infinity
  1999. addx6813 add 1 Inf -> Infinity
  2000. addx6814 add 1000 Inf -> Infinity
  2001. addx6815 add Inf Inf -> Infinity
  2002. addx6821 add NaN -Inf -> NaN
  2003. addx6822 add NaN -1000 -> NaN
  2004. addx6823 add NaN -1 -> NaN
  2005. addx6824 add NaN -0 -> NaN
  2006. addx6825 add NaN 0 -> NaN
  2007. addx6826 add NaN 1 -> NaN
  2008. addx6827 add NaN 1000 -> NaN
  2009. addx6828 add NaN Inf -> NaN
  2010. addx6829 add NaN NaN -> NaN
  2011. addx6830 add -Inf NaN -> NaN
  2012. addx6831 add -1000 NaN -> NaN
  2013. addx6832 add -1 NaN -> NaN
  2014. addx6833 add -0 NaN -> NaN
  2015. addx6834 add 0 NaN -> NaN
  2016. addx6835 add 1 NaN -> NaN
  2017. addx6836 add 1000 NaN -> NaN
  2018. addx6837 add Inf NaN -> NaN
  2019. addx6841 add sNaN -Inf -> NaN Invalid_operation
  2020. addx6842 add sNaN -1000 -> NaN Invalid_operation
  2021. addx6843 add sNaN -1 -> NaN Invalid_operation
  2022. addx6844 add sNaN -0 -> NaN Invalid_operation
  2023. addx6845 add sNaN 0 -> NaN Invalid_operation
  2024. addx6846 add sNaN 1 -> NaN Invalid_operation
  2025. addx6847 add sNaN 1000 -> NaN Invalid_operation
  2026. addx6848 add sNaN NaN -> NaN Invalid_operation
  2027. addx6849 add sNaN sNaN -> NaN Invalid_operation
  2028. addx6850 add NaN sNaN -> NaN Invalid_operation
  2029. addx6851 add -Inf sNaN -> NaN Invalid_operation
  2030. addx6852 add -1000 sNaN -> NaN Invalid_operation
  2031. addx6853 add -1 sNaN -> NaN Invalid_operation
  2032. addx6854 add -0 sNaN -> NaN Invalid_operation
  2033. addx6855 add 0 sNaN -> NaN Invalid_operation
  2034. addx6856 add 1 sNaN -> NaN Invalid_operation
  2035. addx6857 add 1000 sNaN -> NaN Invalid_operation
  2036. addx6858 add Inf sNaN -> NaN Invalid_operation
  2037. addx6859 add NaN sNaN -> NaN Invalid_operation
  2038. -- propagating NaNs
  2039. addx6861 add NaN1 -Inf -> NaN1
  2040. addx6862 add +NaN2 -1000 -> NaN2
  2041. addx6863 add NaN3 1000 -> NaN3
  2042. addx6864 add NaN4 Inf -> NaN4
  2043. addx6865 add NaN5 +NaN6 -> NaN5
  2044. addx6866 add -Inf NaN7 -> NaN7
  2045. addx6867 add -1000 NaN8 -> NaN8
  2046. addx6868 add 1000 NaN9 -> NaN9
  2047. addx6869 add Inf +NaN10 -> NaN10
  2048. addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation
  2049. addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation
  2050. addx6873 add sNaN13 1000 -> NaN13 Invalid_operation
  2051. addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation
  2052. addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
  2053. addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation
  2054. addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation
  2055. addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation
  2056. addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation
  2057. addx6880 add Inf sNaN23 -> NaN23 Invalid_operation
  2058. addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
  2059. addx6882 add -NaN26 NaN28 -> -NaN26
  2060. addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
  2061. addx6884 add 1000 -NaN30 -> -NaN30
  2062. addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
  2063. -- now the case where we can get underflow but the result is normal
  2064. -- [note this can't happen if the operands are also bounded, as we
  2065. -- cannot represent 1E-399, for example]
  2066. addx6571 add 1E-383 0 -> 1E-383
  2067. addx6572 add 1E-384 0 -> 1E-384 Subnormal
  2068. addx6573 add 1E-383 1E-384 -> 1.1E-383
  2069. addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
  2070. -- Here we explore the boundary of rounding a subnormal to Nmin
  2071. addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
  2072. addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
  2073. addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  2074. addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  2075. addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  2076. addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
  2077. -- check overflow edge case
  2078. -- 1234567890123456
  2079. addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
  2080. addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
  2081. addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
  2082. addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
  2083. addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
  2084. addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
  2085. addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
  2086. addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
  2087. addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
  2088. addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
  2089. addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
  2090. addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
  2091. addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
  2092. addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
  2093. addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
  2094. addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
  2095. addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
  2096. addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
  2097. addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
  2098. addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
  2099. addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
  2100. addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
  2101. addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
  2102. addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
  2103. addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
  2104. addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
  2105. -- And for round down full and subnormal results
  2106. rounding: down
  2107. addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
  2108. addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
  2109. addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
  2110. addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
  2111. addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
  2112. addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
  2113. addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
  2114. addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
  2115. addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
  2116. rounding: ceiling
  2117. addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
  2118. addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
  2119. addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
  2120. addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
  2121. addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
  2122. addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
  2123. addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
  2124. addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
  2125. addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
  2126. -- tests based on Gunnar Degnbol's edge case
  2127. rounding: half_even
  2128. addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
  2129. addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
  2130. addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
  2131. addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
  2132. addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
  2133. addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
  2134. addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
  2135. addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
  2136. addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
  2137. addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
  2138. addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
  2139. addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
  2140. addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
  2141. addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
  2142. addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
  2143. addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
  2144. addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2145. addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2146. addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2147. addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2148. addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
  2149. addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
  2150. addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
  2151. addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
  2152. addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
  2153. addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
  2154. addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
  2155. addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
  2156. addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
  2157. addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
  2158. addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
  2159. addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
  2160. addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
  2161. addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
  2162. addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
  2163. addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
  2164. addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
  2165. addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
  2166. addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
  2167. addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
  2168. addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
  2169. addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
  2170. addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
  2171. addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
  2172. addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
  2173. addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
  2174. addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
  2175. addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
  2176. addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
  2177. addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2178. addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2179. addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2180. addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
  2181. addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
  2182. addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
  2183. addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
  2184. addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
  2185. addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
  2186. addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
  2187. addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
  2188. addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
  2189. addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
  2190. addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
  2191. addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
  2192. addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
  2193. addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
  2194. addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
  2195. addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
  2196. addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
  2197. addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
  2198. addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
  2199. addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
  2200. addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
  2201. addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
  2202. addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
  2203. addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
  2204. addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
  2205. addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
  2206. addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
  2207. addx61396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
  2208. -- More GD edge cases, where difference between the unadjusted
  2209. -- exponents is larger than the maximum precision and one side is 0
  2210. addx61420 add 0 1.123456789012345 -> 1.123456789012345
  2211. addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345
  2212. addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345
  2213. addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345
  2214. addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
  2215. addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
  2216. addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
  2217. addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
  2218. addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
  2219. addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
  2220. addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
  2221. addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
  2222. addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
  2223. addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
  2224. addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
  2225. addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
  2226. addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
  2227. addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
  2228. addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
  2229. addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
  2230. -- same, reversed 0
  2231. addx61440 add 1.123456789012345 0 -> 1.123456789012345
  2232. addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345
  2233. addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345
  2234. addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345
  2235. addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
  2236. addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
  2237. addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
  2238. addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
  2239. addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
  2240. addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
  2241. addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
  2242. addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
  2243. addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
  2244. addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
  2245. addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
  2246. addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
  2247. addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
  2248. addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
  2249. addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
  2250. addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
  2251. -- same, Es on the 0
  2252. addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345
  2253. addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345
  2254. addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345
  2255. addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345
  2256. addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345
  2257. addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345
  2258. addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345
  2259. addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345
  2260. addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345
  2261. addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345
  2262. addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345
  2263. addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345
  2264. addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345
  2265. addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345
  2266. addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345
  2267. addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345
  2268. -- next four flag Rounded because the 0 extends the result
  2269. addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
  2270. addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
  2271. addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
  2272. addx61479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
  2273. -- sum of two opposite-sign operands is exactly 0 and floor => -0
  2274. rounding: half_up
  2275. -- exact zeros from zeros
  2276. addx61500 add 0 0E-19 -> 0E-19
  2277. addx61501 add -0 0E-19 -> 0E-19
  2278. addx61502 add 0 -0E-19 -> 0E-19
  2279. addx61503 add -0 -0E-19 -> -0E-19
  2280. addx61504 add 0E-400 0E-19 -> 0E-398 Clamped
  2281. addx61505 add -0E-400 0E-19 -> 0E-398 Clamped
  2282. addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped
  2283. addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped
  2284. -- inexact zeros
  2285. addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2286. addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2287. addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2288. addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2289. -- some exact zeros from non-zeros
  2290. addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2291. addx61516 add -1E-401 1E-401 -> 0E-398 Clamped
  2292. addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped
  2293. addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2294. rounding: half_down
  2295. -- exact zeros from zeros
  2296. addx61520 add 0 0E-19 -> 0E-19
  2297. addx61521 add -0 0E-19 -> 0E-19
  2298. addx61522 add 0 -0E-19 -> 0E-19
  2299. addx61523 add -0 -0E-19 -> -0E-19
  2300. addx61524 add 0E-400 0E-19 -> 0E-398 Clamped
  2301. addx61525 add -0E-400 0E-19 -> 0E-398 Clamped
  2302. addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped
  2303. addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped
  2304. -- inexact zeros
  2305. addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2306. addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2307. addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2308. addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2309. -- some exact zeros from non-zeros
  2310. addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2311. addx61536 add -1E-401 1E-401 -> 0E-398 Clamped
  2312. addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped
  2313. addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2314. rounding: half_even
  2315. -- exact zeros from zeros
  2316. addx61540 add 0 0E-19 -> 0E-19
  2317. addx61541 add -0 0E-19 -> 0E-19
  2318. addx61542 add 0 -0E-19 -> 0E-19
  2319. addx61543 add -0 -0E-19 -> -0E-19
  2320. addx61544 add 0E-400 0E-19 -> 0E-398 Clamped
  2321. addx61545 add -0E-400 0E-19 -> 0E-398 Clamped
  2322. addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped
  2323. addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped
  2324. -- inexact zeros
  2325. addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2326. addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2327. addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2328. addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2329. -- some exact zeros from non-zeros
  2330. addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2331. addx61556 add -1E-401 1E-401 -> 0E-398 Clamped
  2332. addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped
  2333. addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2334. rounding: up
  2335. -- exact zeros from zeros
  2336. addx61560 add 0 0E-19 -> 0E-19
  2337. addx61561 add -0 0E-19 -> 0E-19
  2338. addx61562 add 0 -0E-19 -> 0E-19
  2339. addx61563 add -0 -0E-19 -> -0E-19
  2340. addx61564 add 0E-400 0E-19 -> 0E-398 Clamped
  2341. addx61565 add -0E-400 0E-19 -> 0E-398 Clamped
  2342. addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped
  2343. addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped
  2344. -- inexact zeros
  2345. addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  2346. addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  2347. addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  2348. addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  2349. -- some exact zeros from non-zeros
  2350. addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
  2351. addx61576 add -1E-401 1E-401 -> 0E-398 Clamped
  2352. addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped
  2353. addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
  2354. rounding: down
  2355. -- exact zeros from zeros
  2356. addx61580 add 0 0E-19 -> 0E-19
  2357. addx61581 add -0 0E-19 -> 0E-19
  2358. addx61582 add 0 -0E-19 -> 0E-19
  2359. addx61583 add -0 -0E-19 -> -0E-19
  2360. addx61584 add 0E-400 0E-19 -> 0E-398 Clamped
  2361. addx61585 add -0E-400 0E-19 -> 0E-398 Clamped
  2362. addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped
  2363. addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped
  2364. -- inexact zeros
  2365. addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2366. addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2367. addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2368. addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2369. -- some exact zeros from non-zeros
  2370. addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2371. addx61596 add -1E-401 1E-401 -> 0E-398 Clamped
  2372. addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped
  2373. addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2374. rounding: ceiling
  2375. -- exact zeros from zeros
  2376. addx61600 add 0 0E-19 -> 0E-19
  2377. addx61601 add -0 0E-19 -> 0E-19
  2378. addx61602 add 0 -0E-19 -> 0E-19
  2379. addx61603 add -0 -0E-19 -> -0E-19
  2380. addx61604 add 0E-400 0E-19 -> 0E-398 Clamped
  2381. addx61605 add -0E-400 0E-19 -> 0E-398 Clamped
  2382. addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped
  2383. addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped
  2384. -- inexact zeros
  2385. addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  2386. addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
  2387. addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2388. addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2389. -- some exact zeros from non-zeros
  2390. addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
  2391. addx61616 add -1E-401 1E-401 -> 0E-398 Clamped
  2392. addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped
  2393. addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
  2394. -- and the extra-special ugly case; unusual minuses marked by -- *
  2395. rounding: floor
  2396. -- exact zeros from zeros
  2397. addx61620 add 0 0E-19 -> 0E-19
  2398. addx61621 add -0 0E-19 -> -0E-19 -- *
  2399. addx61622 add 0 -0E-19 -> -0E-19 -- *
  2400. addx61623 add -0 -0E-19 -> -0E-19
  2401. addx61624 add 0E-400 0E-19 -> 0E-398 Clamped
  2402. addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
  2403. addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
  2404. addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped
  2405. -- inexact zeros
  2406. addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2407. addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2408. addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  2409. addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
  2410. -- some exact zeros from non-zeros
  2411. addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
  2412. addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
  2413. addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
  2414. addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
  2415. -- Examples from SQL proposal (Krishna Kulkarni)
  2416. addx61701 add 130E-2 120E-2 -> 2.50
  2417. addx61702 add 130E-2 12E-1 -> 2.50
  2418. addx61703 add 130E-2 1E0 -> 2.30
  2419. addx61704 add 1E2 1E4 -> 1.01E+4
  2420. addx61705 subtract 130E-2 120E-2 -> 0.10
  2421. addx61706 subtract 130E-2 12E-1 -> 0.10
  2422. addx61707 subtract 130E-2 1E0 -> 0.30
  2423. addx61708 subtract 1E2 1E4 -> -9.9E+3
  2424. -- Gappy coefficients; check residue handling even with full coefficient gap
  2425. rounding: half_even
  2426. addx62001 add 1234567890123456 1 -> 1234567890123457
  2427. addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
  2428. addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
  2429. addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
  2430. addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
  2431. addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
  2432. addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
  2433. addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
  2434. addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
  2435. addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
  2436. addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
  2437. addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
  2438. addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
  2439. addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
  2440. addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
  2441. addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
  2442. addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
  2443. addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
  2444. addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
  2445. addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
  2446. addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
  2447. -- widening second argument at gap
  2448. addx62030 add 12345678 1 -> 12345679
  2449. addx62031 add 12345678 0.1 -> 12345678.1
  2450. addx62032 add 12345678 0.12 -> 12345678.12
  2451. addx62033 add 12345678 0.123 -> 12345678.123
  2452. addx62034 add 12345678 0.1234 -> 12345678.1234
  2453. addx62035 add 12345678 0.12345 -> 12345678.12345
  2454. addx62036 add 12345678 0.123456 -> 12345678.123456
  2455. addx62037 add 12345678 0.1234567 -> 12345678.1234567
  2456. addx62038 add 12345678 0.12345678 -> 12345678.12345678
  2457. addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
  2458. addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
  2459. addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
  2460. addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
  2461. addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
  2462. addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
  2463. addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
  2464. addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
  2465. addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
  2466. addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
  2467. addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
  2468. -- 90123456
  2469. rounding: half_even
  2470. addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
  2471. addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
  2472. addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
  2473. addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
  2474. addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
  2475. addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
  2476. addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
  2477. addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
  2478. addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
  2479. addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
  2480. addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
  2481. addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
  2482. addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
  2483. addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
  2484. addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
  2485. addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
  2486. -- far-out residues (full coefficient gap is 16+15 digits)
  2487. rounding: up
  2488. addx62070 add 12345678 1E-8 -> 12345678.00000001
  2489. addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
  2490. addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
  2491. addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
  2492. addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
  2493. addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
  2494. addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
  2495. addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
  2496. addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
  2497. addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
  2498. addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
  2499. addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
  2500. addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
  2501. addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
  2502. addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
  2503. addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
  2504. addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
  2505. addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
  2506. addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
  2507. addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
  2508. -- payload decapitate
  2509. precision: 5
  2510. addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation
  2511. addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation
  2512. addx62102 add 11 NaN123456789 -> NaN56789
  2513. addx62103 add -11 -NaN123456789 -> -NaN56789
  2514. -- Null tests
  2515. addx9990 add 10 # -> NaN Invalid_operation
  2516. addx9991 add # 10 -> NaN Invalid_operation