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EmbeddedPkg: Extend NvVarStoreFormattedLib LIBRARY_CLASS
[mirror_edk2.git] / AppPkg / Applications / Python / Python-2.7.2 / Lib / test / decimaltestdata / add.decTest
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: 2.59
21
22 precision: 9
23 rounding: half_up
24 maxExponent: 384
25 minexponent: -383
26 extended: 1
27
28 -- [first group are 'quick confidence check']
29 addx001 add 1 1 -> 2
30 addx002 add 2 3 -> 5
31 addx003 add '5.75' '3.3' -> 9.05
32 addx004 add '5' '-3' -> 2
33 addx005 add '-5' '-3' -> -8
34 addx006 add '-7' '2.5' -> -4.5
35 addx007 add '0.7' '0.3' -> 1.0
36 addx008 add '1.25' '1.25' -> 2.50
37 addx009 add '1.23456789' '1.00000000' -> '2.23456789'
38 addx010 add '1.23456789' '1.00000011' -> '2.23456800'
39
40 addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
41 addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
42 addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
43 addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded
44 addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded
45 addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
46 addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
47 addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
48 addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded
49 addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded
50
51 addx021 add 0 1 -> 1
52 addx022 add 1 1 -> 2
53 addx023 add 2 1 -> 3
54 addx024 add 3 1 -> 4
55 addx025 add 4 1 -> 5
56 addx026 add 5 1 -> 6
57 addx027 add 6 1 -> 7
58 addx028 add 7 1 -> 8
59 addx029 add 8 1 -> 9
60 addx030 add 9 1 -> 10
61
62 -- some carrying effects
63 addx031 add '0.9998' '0.0000' -> '0.9998'
64 addx032 add '0.9998' '0.0001' -> '0.9999'
65 addx033 add '0.9998' '0.0002' -> '1.0000'
66 addx034 add '0.9998' '0.0003' -> '1.0001'
67
68 addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
69 addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
70 addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
71 addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
72 addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded
73
74 -- symmetry:
75 addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
76 addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
77 addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
78 addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
79 addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded
80
81 -- same, higher precision
82 precision: 15
83 addx046 add '10000e+9' '7' -> '10000000000007'
84 addx047 add '10000e+9' '70' -> '10000000000070'
85 addx048 add '10000e+9' '700' -> '10000000000700'
86 addx049 add '10000e+9' '7000' -> '10000000007000'
87 addx050 add '10000e+9' '70000' -> '10000000070000'
88 addx051 add '10000e+9' '700000' -> '10000000700000'
89 addx052 add '10000e+9' '7000000' -> '10000007000000'
90
91 -- examples from decarith
92 addx053 add '12' '7.00' -> '19.00'
93 addx054 add '1.3' '-1.07' -> '0.23'
94 addx055 add '1.3' '-1.30' -> '0.00'
95 addx056 add '1.3' '-2.07' -> '-0.77'
96 addx057 add '1E+2' '1E+4' -> '1.01E+4'
97
98 -- zero preservation
99 precision: 6
100 addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
101 addx061 add 1 '0.0001' -> '1.0001'
102 addx062 add 1 '0.00001' -> '1.00001'
103 addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded
104 addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded
105 addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded
106
107 -- some funny zeros [in case of bad signum]
108 addx070 add 1 0 -> 1
109 addx071 add 1 0. -> 1
110 addx072 add 1 .0 -> 1.0
111 addx073 add 1 0.0 -> 1.0
112 addx074 add 1 0.00 -> 1.00
113 addx075 add 0 1 -> 1
114 addx076 add 0. 1 -> 1
115 addx077 add .0 1 -> 1.0
116 addx078 add 0.0 1 -> 1.0
117 addx079 add 0.00 1 -> 1.00
118
119 precision: 9
120
121 -- some carries
122 addx080 add 999999998 1 -> 999999999
123 addx081 add 999999999 1 -> 1.00000000E+9 Rounded
124 addx082 add 99999999 1 -> 100000000
125 addx083 add 9999999 1 -> 10000000
126 addx084 add 999999 1 -> 1000000
127 addx085 add 99999 1 -> 100000
128 addx086 add 9999 1 -> 10000
129 addx087 add 999 1 -> 1000
130 addx088 add 99 1 -> 100
131 addx089 add 9 1 -> 10
132
133
134 -- more LHS swaps
135 addx090 add '-56267E-10' 0 -> '-0.0000056267'
136 addx091 add '-56267E-6' 0 -> '-0.056267'
137 addx092 add '-56267E-5' 0 -> '-0.56267'
138 addx093 add '-56267E-4' 0 -> '-5.6267'
139 addx094 add '-56267E-3' 0 -> '-56.267'
140 addx095 add '-56267E-2' 0 -> '-562.67'
141 addx096 add '-56267E-1' 0 -> '-5626.7'
142 addx097 add '-56267E-0' 0 -> '-56267'
143 addx098 add '-5E-10' 0 -> '-5E-10'
144 addx099 add '-5E-7' 0 -> '-5E-7'
145 addx100 add '-5E-6' 0 -> '-0.000005'
146 addx101 add '-5E-5' 0 -> '-0.00005'
147 addx102 add '-5E-4' 0 -> '-0.0005'
148 addx103 add '-5E-1' 0 -> '-0.5'
149 addx104 add '-5E0' 0 -> '-5'
150 addx105 add '-5E1' 0 -> '-50'
151 addx106 add '-5E5' 0 -> '-500000'
152 addx107 add '-5E8' 0 -> '-500000000'
153 addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded
154 addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded
155 addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded
156 addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded
157
158 -- more RHS swaps
159 addx113 add 0 '-56267E-10' -> '-0.0000056267'
160 addx114 add 0 '-56267E-6' -> '-0.056267'
161 addx116 add 0 '-56267E-5' -> '-0.56267'
162 addx117 add 0 '-56267E-4' -> '-5.6267'
163 addx119 add 0 '-56267E-3' -> '-56.267'
164 addx120 add 0 '-56267E-2' -> '-562.67'
165 addx121 add 0 '-56267E-1' -> '-5626.7'
166 addx122 add 0 '-56267E-0' -> '-56267'
167 addx123 add 0 '-5E-10' -> '-5E-10'
168 addx124 add 0 '-5E-7' -> '-5E-7'
169 addx125 add 0 '-5E-6' -> '-0.000005'
170 addx126 add 0 '-5E-5' -> '-0.00005'
171 addx127 add 0 '-5E-4' -> '-0.0005'
172 addx128 add 0 '-5E-1' -> '-0.5'
173 addx129 add 0 '-5E0' -> '-5'
174 addx130 add 0 '-5E1' -> '-50'
175 addx131 add 0 '-5E5' -> '-500000'
176 addx132 add 0 '-5E8' -> '-500000000'
177 addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded
178 addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded
179 addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded
180 addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded
181
182 -- related
183 addx137 add 1 '0E-12' -> '1.00000000' Rounded
184 addx138 add -1 '0E-12' -> '-1.00000000' Rounded
185 addx139 add '0E-12' 1 -> '1.00000000' Rounded
186 addx140 add '0E-12' -1 -> '-1.00000000' Rounded
187 addx141 add 1E+4 0.0000 -> '10000.0000'
188 addx142 add 1E+4 0.00000 -> '10000.0000' Rounded
189 addx143 add 0.000 1E+5 -> '100000.000'
190 addx144 add 0.0000 1E+5 -> '100000.000' Rounded
191
192 -- [some of the next group are really constructor tests]
193 addx146 add '00.0' 0 -> '0.0'
194 addx147 add '0.00' 0 -> '0.00'
195 addx148 add 0 '0.00' -> '0.00'
196 addx149 add 0 '00.0' -> '0.0'
197 addx150 add '00.0' '0.00' -> '0.00'
198 addx151 add '0.00' '00.0' -> '0.00'
199 addx152 add '3' '.3' -> '3.3'
200 addx153 add '3.' '.3' -> '3.3'
201 addx154 add '3.0' '.3' -> '3.3'
202 addx155 add '3.00' '.3' -> '3.30'
203 addx156 add '3' '3' -> '6'
204 addx157 add '3' '+3' -> '6'
205 addx158 add '3' '-3' -> '0'
206 addx159 add '0.3' '-0.3' -> '0.0'
207 addx160 add '0.03' '-0.03' -> '0.00'
208
209 -- try borderline precision, with carries, etc.
210 precision: 15
211 addx161 add '1E+12' '-1' -> '999999999999'
212 addx162 add '1E+12' '1.11' -> '1000000000001.11'
213 addx163 add '1.11' '1E+12' -> '1000000000001.11'
214 addx164 add '-1' '1E+12' -> '999999999999'
215 addx165 add '7E+12' '-1' -> '6999999999999'
216 addx166 add '7E+12' '1.11' -> '7000000000001.11'
217 addx167 add '1.11' '7E+12' -> '7000000000001.11'
218 addx168 add '-1' '7E+12' -> '6999999999999'
219
220 -- 123456789012345 123456789012345 1 23456789012345
221 addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
222 addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
223 addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
224 addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
225 addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
226 addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
227 addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
228 addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
229 addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
230 addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
231 addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
232 addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
233 addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
234 addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
235
236 -- and some more, including residue effects and different roundings
237 precision: 9
238 rounding: half_up
239 addx200 add '123456789' 0 -> '123456789'
240 addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
241 addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded
242 addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded
243 addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded
244 addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded
245 addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded
246 addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
247 addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded
248 addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
249 addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded
250 addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded
251 addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded
252 addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded
253 addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded
254 addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
255 addx216 add '123456789' 1 -> '123456790'
256 addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded
257 addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded
258 addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded
259
260 rounding: half_even
261 addx220 add '123456789' 0 -> '123456789'
262 addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
263 addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded
264 addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded
265 addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded
266 addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded
267 addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded
268 addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
269 addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded
270 addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
271 addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded
272 addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded
273 addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded
274 addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded
275 addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded
276 addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
277 addx236 add '123456789' 1 -> '123456790'
278 addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
279 addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded
280 addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded
281 -- critical few with even bottom digit...
282 addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded
283 addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded
284 addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded
285
286 rounding: down
287 addx250 add '123456789' 0 -> '123456789'
288 addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
289 addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded
290 addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded
291 addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded
292 addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded
293 addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded
294 addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
295 addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded
296 addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded
297 addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded
298 addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded
299 addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded
300 addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded
301 addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded
302 addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded
303 addx266 add '123456789' 1 -> '123456790'
304 addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
305 addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded
306 addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded
307
308 -- input preparation tests (operands should not be rounded)
309 precision: 3
310 rounding: half_up
311
312 addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
313 addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
314
315 addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded
316 addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded
317 addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
318 addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
319 addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
320 addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded
321 addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded
322
323 addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
324 addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
325 addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
326 addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
327 addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
328 addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
329 addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
330
331 rounding: half_down
332 addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
333 addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
334 addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
335 addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
336 addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
337 addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
338 addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
339
340 -- 1 in last place tests
341 rounding: half_up
342 addx301 add -1 1 -> 0
343 addx302 add 0 1 -> 1
344 addx303 add 1 1 -> 2
345 addx304 add 12 1 -> 13
346 addx305 add 98 1 -> 99
347 addx306 add 99 1 -> 100
348 addx307 add 100 1 -> 101
349 addx308 add 101 1 -> 102
350 addx309 add -1 -1 -> -2
351 addx310 add 0 -1 -> -1
352 addx311 add 1 -1 -> 0
353 addx312 add 12 -1 -> 11
354 addx313 add 98 -1 -> 97
355 addx314 add 99 -1 -> 98
356 addx315 add 100 -1 -> 99
357 addx316 add 101 -1 -> 100
358
359 addx321 add -0.01 0.01 -> 0.00
360 addx322 add 0.00 0.01 -> 0.01
361 addx323 add 0.01 0.01 -> 0.02
362 addx324 add 0.12 0.01 -> 0.13
363 addx325 add 0.98 0.01 -> 0.99
364 addx326 add 0.99 0.01 -> 1.00
365 addx327 add 1.00 0.01 -> 1.01
366 addx328 add 1.01 0.01 -> 1.02
367 addx329 add -0.01 -0.01 -> -0.02
368 addx330 add 0.00 -0.01 -> -0.01
369 addx331 add 0.01 -0.01 -> 0.00
370 addx332 add 0.12 -0.01 -> 0.11
371 addx333 add 0.98 -0.01 -> 0.97
372 addx334 add 0.99 -0.01 -> 0.98
373 addx335 add 1.00 -0.01 -> 0.99
374 addx336 add 1.01 -0.01 -> 1.00
375
376 -- some more cases where adding 0 affects the coefficient
377 precision: 9
378 addx340 add 1E+3 0 -> 1000
379 addx341 add 1E+8 0 -> 100000000
380 addx342 add 1E+9 0 -> 1.00000000E+9 Rounded
381 addx343 add 1E+10 0 -> 1.00000000E+10 Rounded
382 -- which simply follow from these cases ...
383 addx344 add 1E+3 1 -> 1001
384 addx345 add 1E+8 1 -> 100000001
385 addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded
386 addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded
387 addx348 add 1E+3 7 -> 1007
388 addx349 add 1E+8 7 -> 100000007
389 addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded
390 addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded
391
392 -- tryzeros cases
393 precision: 7
394 rounding: half_up
395 maxExponent: 92
396 minexponent: -92
397 addx361 add 0E+50 10000E+1 -> 1.0000E+5
398 addx362 add 10000E+1 0E-50 -> 100000.0 Rounded
399 addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
400 addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86
401
402 -- a curiosity from JSR 13 testing
403 rounding: half_down
404 precision: 10
405 addx370 add 99999999 81512 -> 100081511
406 precision: 6
407 addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
408 rounding: half_up
409 precision: 10
410 addx372 add 99999999 81512 -> 100081511
411 precision: 6
412 addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
413 rounding: half_even
414 precision: 10
415 addx374 add 99999999 81512 -> 100081511
416 precision: 6
417 addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
418
419 -- ulp replacement tests
420 precision: 9
421 maxexponent: 999999999
422 minexponent: -999999999
423 addx400 add 1 77e-7 -> 1.0000077
424 addx401 add 1 77e-8 -> 1.00000077
425 addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded
426 addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded
427 addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded
428 addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded
429 addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded
430 addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded
431
432 addx410 add 10 77e-7 -> 10.0000077
433 addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded
434 addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded
435 addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded
436 addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded
437 addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded
438 addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded
439 addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded
440
441 addx420 add 77e-7 1 -> 1.0000077
442 addx421 add 77e-8 1 -> 1.00000077
443 addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded
444 addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded
445 addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded
446 addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded
447 addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded
448 addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded
449
450 addx430 add 77e-7 10 -> 10.0000077
451 addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded
452 addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded
453 addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded
454 addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded
455 addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded
456 addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded
457 addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded
458
459 -- negative ulps
460 addx440 add 1 -77e-7 -> 0.9999923
461 addx441 add 1 -77e-8 -> 0.99999923
462 addx442 add 1 -77e-9 -> 0.999999923
463 addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded
464 addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded
465 addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded
466 addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded
467 addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded
468
469 addx450 add 10 -77e-7 -> 9.9999923
470 addx451 add 10 -77e-8 -> 9.99999923
471 addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded
472 addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded
473 addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded
474 addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded
475 addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded
476 addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded
477
478 addx460 add -77e-7 1 -> 0.9999923
479 addx461 add -77e-8 1 -> 0.99999923
480 addx462 add -77e-9 1 -> 0.999999923
481 addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded
482 addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded
483 addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded
484 addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded
485 addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded
486
487 addx470 add -77e-7 10 -> 9.9999923
488 addx471 add -77e-8 10 -> 9.99999923
489 addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded
490 addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded
491 addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded
492 addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded
493 addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded
494 addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded
495
496 -- negative ulps
497 addx480 add -1 77e-7 -> -0.9999923
498 addx481 add -1 77e-8 -> -0.99999923
499 addx482 add -1 77e-9 -> -0.999999923
500 addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded
501 addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded
502 addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded
503 addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded
504 addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded
505
506 addx490 add -10 77e-7 -> -9.9999923
507 addx491 add -10 77e-8 -> -9.99999923
508 addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded
509 addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded
510 addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded
511 addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded
512 addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded
513 addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded
514
515 addx500 add 77e-7 -1 -> -0.9999923
516 addx501 add 77e-8 -1 -> -0.99999923
517 addx502 add 77e-9 -1 -> -0.999999923
518 addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded
519 addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded
520 addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded
521 addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded
522 addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded
523
524 addx510 add 77e-7 -10 -> -9.9999923
525 addx511 add 77e-8 -10 -> -9.99999923
526 addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded
527 addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded
528 addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded
529 addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded
530 addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded
531 addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded
532
533
534 -- long operands
535 maxexponent: 999
536 minexponent: -999
537 precision: 9
538 addx521 add 12345678000 0 -> 1.23456780E+10 Rounded
539 addx522 add 0 12345678000 -> 1.23456780E+10 Rounded
540 addx523 add 1234567800 0 -> 1.23456780E+9 Rounded
541 addx524 add 0 1234567800 -> 1.23456780E+9 Rounded
542 addx525 add 1234567890 0 -> 1.23456789E+9 Rounded
543 addx526 add 0 1234567890 -> 1.23456789E+9 Rounded
544 addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded
545 addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded
546 addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded
547 addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded
548 addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded
549 addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded
550
551 precision: 15
552 -- still checking
553 addx541 add 12345678000 0 -> 12345678000
554 addx542 add 0 12345678000 -> 12345678000
555 addx543 add 1234567800 0 -> 1234567800
556 addx544 add 0 1234567800 -> 1234567800
557 addx545 add 1234567890 0 -> 1234567890
558 addx546 add 0 1234567890 -> 1234567890
559 addx547 add 1234567891 0 -> 1234567891
560 addx548 add 0 1234567891 -> 1234567891
561 addx549 add 12345678901 0 -> 12345678901
562 addx550 add 0 12345678901 -> 12345678901
563 addx551 add 1234567896 0 -> 1234567896
564 addx552 add 0 1234567896 -> 1234567896
565
566 -- verify a query
567 precision: 16
568 maxExponent: +394
569 minExponent: -393
570 rounding: down
571 addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
572 addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
573 -- and using decimal64 bounds (see also ddadd.decTest)
574 precision: 16
575 maxExponent: +384
576 minExponent: -383
577 rounding: down
578 addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
579 addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
580
581
582 -- some more residue effects with extreme rounding
583 precision: 9
584 rounding: half_up
585 addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded
586 rounding: half_even
587 addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded
588 rounding: half_down
589 addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded
590 rounding: floor
591 addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded
592 rounding: ceiling
593 addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded
594 rounding: up
595 addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded
596 rounding: down
597 addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded
598
599 rounding: half_up
600 addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded
601 rounding: half_even
602 addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded
603 rounding: half_down
604 addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded
605 rounding: floor
606 addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded
607 rounding: ceiling
608 addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded
609 rounding: up
610 addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded
611 rounding: down
612 addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded
613
614 rounding: half_up
615 addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded
616 rounding: half_even
617 addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded
618 rounding: half_down
619 addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded
620 rounding: floor
621 addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded
622 rounding: ceiling
623 addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded
624 rounding: up
625 addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded
626 rounding: down
627 addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded
628
629 rounding: half_up
630 addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded
631 rounding: half_even
632 addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded
633 rounding: half_down
634 addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded
635 rounding: floor
636 addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded
637 rounding: ceiling
638 addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded
639 rounding: up
640 addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded
641 rounding: down
642 addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded
643
644 rounding: half_up
645 addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded
646 rounding: half_even
647 addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded
648 rounding: half_down
649 addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded
650 rounding: floor
651 addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded
652 rounding: ceiling
653 addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded
654 rounding: up
655 addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded
656 rounding: down
657 addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded
658
659 rounding: half_up
660 addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded
661 rounding: half_even
662 addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded
663 rounding: half_down
664 addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded
665 rounding: floor
666 addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded
667 rounding: ceiling
668 addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded
669 rounding: up
670 addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded
671 rounding: down
672 addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded
673
674 -- long operand triangle
675 rounding: half_up
676 precision: 37
677 addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
678 precision: 36
679 addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
680 precision: 35
681 addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
682 precision: 34
683 addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
684 precision: 33
685 addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
686 precision: 32
687 addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
688 precision: 31
689 addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
690 precision: 30
691 addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
692 precision: 29
693 addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
694 precision: 28
695 addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
696 precision: 27
697 addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
698 precision: 26
699 addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
700 precision: 25
701 addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
702 precision: 24
703 addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
704 precision: 23
705 addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
706 precision: 22
707 addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
708 precision: 21
709 addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
710 precision: 20
711 addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
712 precision: 19
713 addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
714 precision: 18
715 addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
716 precision: 17
717 addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
718 precision: 16
719 addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
720 precision: 15
721 addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
722 precision: 14
723 addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
724 precision: 13
725 addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
726 precision: 12
727 addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
728 precision: 11
729 addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
730 precision: 10
731 addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
732 precision: 9
733 addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
734 precision: 8
735 addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
736 precision: 7
737 addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
738 precision: 6
739 addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
740 precision: 5
741 addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
742 precision: 4
743 addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
744 precision: 3
745 addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
746 precision: 2
747 addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
748 precision: 1
749 addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
750
751 -- more zeros, etc.
752 rounding: half_up
753 precision: 9
754
755 addx701 add 5.00 1.00E-3 -> 5.00100
756 addx702 add 00.00 0.000 -> 0.000
757 addx703 add 00.00 0E-3 -> 0.000
758 addx704 add 0E-3 00.00 -> 0.000
759
760 addx710 add 0E+3 00.00 -> 0.00
761 addx711 add 0E+3 00.0 -> 0.0
762 addx712 add 0E+3 00. -> 0
763 addx713 add 0E+3 00.E+1 -> 0E+1
764 addx714 add 0E+3 00.E+2 -> 0E+2
765 addx715 add 0E+3 00.E+3 -> 0E+3
766 addx716 add 0E+3 00.E+4 -> 0E+3
767 addx717 add 0E+3 00.E+5 -> 0E+3
768 addx718 add 0E+3 -00.0 -> 0.0
769 addx719 add 0E+3 -00. -> 0
770 addx731 add 0E+3 -00.E+1 -> 0E+1
771
772 addx720 add 00.00 0E+3 -> 0.00
773 addx721 add 00.0 0E+3 -> 0.0
774 addx722 add 00. 0E+3 -> 0
775 addx723 add 00.E+1 0E+3 -> 0E+1
776 addx724 add 00.E+2 0E+3 -> 0E+2
777 addx725 add 00.E+3 0E+3 -> 0E+3
778 addx726 add 00.E+4 0E+3 -> 0E+3
779 addx727 add 00.E+5 0E+3 -> 0E+3
780 addx728 add -00.00 0E+3 -> 0.00
781 addx729 add -00.0 0E+3 -> 0.0
782 addx730 add -00. 0E+3 -> 0
783
784 addx732 add 0 0 -> 0
785 addx733 add 0 -0 -> 0
786 addx734 add -0 0 -> 0
787 addx735 add -0 -0 -> -0 -- IEEE 854 special case
788
789 addx736 add 1 -1 -> 0
790 addx737 add -1 -1 -> -2
791 addx738 add 1 1 -> 2
792 addx739 add -1 1 -> 0
793
794 addx741 add 0 -1 -> -1
795 addx742 add -0 -1 -> -1
796 addx743 add 0 1 -> 1
797 addx744 add -0 1 -> 1
798 addx745 add -1 0 -> -1
799 addx746 add -1 -0 -> -1
800 addx747 add 1 0 -> 1
801 addx748 add 1 -0 -> 1
802
803 addx751 add 0.0 -1 -> -1.0
804 addx752 add -0.0 -1 -> -1.0
805 addx753 add 0.0 1 -> 1.0
806 addx754 add -0.0 1 -> 1.0
807 addx755 add -1.0 0 -> -1.0
808 addx756 add -1.0 -0 -> -1.0
809 addx757 add 1.0 0 -> 1.0
810 addx758 add 1.0 -0 -> 1.0
811
812 addx761 add 0 -1.0 -> -1.0
813 addx762 add -0 -1.0 -> -1.0
814 addx763 add 0 1.0 -> 1.0
815 addx764 add -0 1.0 -> 1.0
816 addx765 add -1 0.0 -> -1.0
817 addx766 add -1 -0.0 -> -1.0
818 addx767 add 1 0.0 -> 1.0
819 addx768 add 1 -0.0 -> 1.0
820
821 addx771 add 0.0 -1.0 -> -1.0
822 addx772 add -0.0 -1.0 -> -1.0
823 addx773 add 0.0 1.0 -> 1.0
824 addx774 add -0.0 1.0 -> 1.0
825 addx775 add -1.0 0.0 -> -1.0
826 addx776 add -1.0 -0.0 -> -1.0
827 addx777 add 1.0 0.0 -> 1.0
828 addx778 add 1.0 -0.0 -> 1.0
829
830 -- Specials
831 addx780 add -Inf -Inf -> -Infinity
832 addx781 add -Inf -1000 -> -Infinity
833 addx782 add -Inf -1 -> -Infinity
834 addx783 add -Inf -0 -> -Infinity
835 addx784 add -Inf 0 -> -Infinity
836 addx785 add -Inf 1 -> -Infinity
837 addx786 add -Inf 1000 -> -Infinity
838 addx787 add -1000 -Inf -> -Infinity
839 addx788 add -Inf -Inf -> -Infinity
840 addx789 add -1 -Inf -> -Infinity
841 addx790 add -0 -Inf -> -Infinity
842 addx791 add 0 -Inf -> -Infinity
843 addx792 add 1 -Inf -> -Infinity
844 addx793 add 1000 -Inf -> -Infinity
845 addx794 add Inf -Inf -> NaN Invalid_operation
846
847 addx800 add Inf -Inf -> NaN Invalid_operation
848 addx801 add Inf -1000 -> Infinity
849 addx802 add Inf -1 -> Infinity
850 addx803 add Inf -0 -> Infinity
851 addx804 add Inf 0 -> Infinity
852 addx805 add Inf 1 -> Infinity
853 addx806 add Inf 1000 -> Infinity
854 addx807 add Inf Inf -> Infinity
855 addx808 add -1000 Inf -> Infinity
856 addx809 add -Inf Inf -> NaN Invalid_operation
857 addx810 add -1 Inf -> Infinity
858 addx811 add -0 Inf -> Infinity
859 addx812 add 0 Inf -> Infinity
860 addx813 add 1 Inf -> Infinity
861 addx814 add 1000 Inf -> Infinity
862 addx815 add Inf Inf -> Infinity
863
864 addx821 add NaN -Inf -> NaN
865 addx822 add NaN -1000 -> NaN
866 addx823 add NaN -1 -> NaN
867 addx824 add NaN -0 -> NaN
868 addx825 add NaN 0 -> NaN
869 addx826 add NaN 1 -> NaN
870 addx827 add NaN 1000 -> NaN
871 addx828 add NaN Inf -> NaN
872 addx829 add NaN NaN -> NaN
873 addx830 add -Inf NaN -> NaN
874 addx831 add -1000 NaN -> NaN
875 addx832 add -1 NaN -> NaN
876 addx833 add -0 NaN -> NaN
877 addx834 add 0 NaN -> NaN
878 addx835 add 1 NaN -> NaN
879 addx836 add 1000 NaN -> NaN
880 addx837 add Inf NaN -> NaN
881
882 addx841 add sNaN -Inf -> NaN Invalid_operation
883 addx842 add sNaN -1000 -> NaN Invalid_operation
884 addx843 add sNaN -1 -> NaN Invalid_operation
885 addx844 add sNaN -0 -> NaN Invalid_operation
886 addx845 add sNaN 0 -> NaN Invalid_operation
887 addx846 add sNaN 1 -> NaN Invalid_operation
888 addx847 add sNaN 1000 -> NaN Invalid_operation
889 addx848 add sNaN NaN -> NaN Invalid_operation
890 addx849 add sNaN sNaN -> NaN Invalid_operation
891 addx850 add NaN sNaN -> NaN Invalid_operation
892 addx851 add -Inf sNaN -> NaN Invalid_operation
893 addx852 add -1000 sNaN -> NaN Invalid_operation
894 addx853 add -1 sNaN -> NaN Invalid_operation
895 addx854 add -0 sNaN -> NaN Invalid_operation
896 addx855 add 0 sNaN -> NaN Invalid_operation
897 addx856 add 1 sNaN -> NaN Invalid_operation
898 addx857 add 1000 sNaN -> NaN Invalid_operation
899 addx858 add Inf sNaN -> NaN Invalid_operation
900 addx859 add NaN sNaN -> NaN Invalid_operation
901
902 -- propagating NaNs
903 addx861 add NaN1 -Inf -> NaN1
904 addx862 add +NaN2 -1000 -> NaN2
905 addx863 add NaN3 1000 -> NaN3
906 addx864 add NaN4 Inf -> NaN4
907 addx865 add NaN5 +NaN6 -> NaN5
908 addx866 add -Inf NaN7 -> NaN7
909 addx867 add -1000 NaN8 -> NaN8
910 addx868 add 1000 NaN9 -> NaN9
911 addx869 add Inf +NaN10 -> NaN10
912 addx871 add sNaN11 -Inf -> NaN11 Invalid_operation
913 addx872 add sNaN12 -1000 -> NaN12 Invalid_operation
914 addx873 add sNaN13 1000 -> NaN13 Invalid_operation
915 addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation
916 addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
917 addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation
918 addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation
919 addx878 add -1000 sNaN21 -> NaN21 Invalid_operation
920 addx879 add 1000 sNaN22 -> NaN22 Invalid_operation
921 addx880 add Inf sNaN23 -> NaN23 Invalid_operation
922 addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
923 addx882 add -NaN26 NaN28 -> -NaN26
924 addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
925 addx884 add 1000 -NaN30 -> -NaN30
926 addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
927
928 -- overflow, underflow and subnormal tests
929 maxexponent: 999999999
930 minexponent: -999999999
931 precision: 9
932 addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded
933 addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded
934 addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal
935 addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal
936 addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal
937 addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal
938 addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded
939 addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded
940 addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal
941 addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal
942 addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal
943 addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal
944 addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999
945 addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999
946
947 precision: 3
948 addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
949 addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
950 addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded
951 addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
952
953 precision: 3
954 maxexponent: 999
955 minexponent: -999
956 addx910 add 1.00E-999 0 -> 1.00E-999
957 addx911 add 0.1E-999 0 -> 1E-1000 Subnormal
958 addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal
959 addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
960 addx914 add 0.01E-999 0 -> 1E-1001 Subnormal
961 -- next is rounded to Nmin
962 addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
963 addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
964 addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
965 addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
966 addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
967 addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
968
969 addx930 add -1.00E-999 0 -> -1.00E-999
970 addx931 add -0.1E-999 0 -> -1E-1000 Subnormal
971 addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal
972 addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
973 addx934 add -0.01E-999 0 -> -1E-1001 Subnormal
974 -- next is rounded to Nmin
975 addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
976 addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
977 addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
978 addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
979 addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
980 addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
981
982 -- some non-zero subnormal adds
983 addx950 add 1.00E-999 0.1E-999 -> 1.10E-999
984 addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
985 addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
986 addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
987 addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
988 addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
989 addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
990 addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
991 addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
992 addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
993 addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
994 -- negatives...
995 addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
996 addx962 add 0.1E-999 -0.1E-999 -> 0E-1000
997 addx963 add 0.10E-999 -0.1E-999 -> 0E-1001
998 addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
999 addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
1000 addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
1001 addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1002 addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
1003 addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1004 addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1005 addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1006
1007 -- some 'real' numbers
1008 maxExponent: 384
1009 minExponent: -383
1010 precision: 8
1011 addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
1012 precision: 7
1013 addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
1014 precision: 6
1015 addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal
1016
1017 -- now the case where we can get underflow but the result is normal
1018 -- [note this can't happen if the operands are also bounded, as we
1019 -- cannot represent 1E-399, for example]
1020 precision: 16
1021 rounding: half_up
1022 maxExponent: 384
1023 minExponent: -383
1024
1025 addx571 add 1E-383 0 -> 1E-383
1026 addx572 add 1E-384 0 -> 1E-384 Subnormal
1027 addx573 add 1E-383 1E-384 -> 1.1E-383
1028 addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
1029
1030 -- Here we explore the boundary of rounding a subnormal to Nmin
1031 addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1032 addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1033 addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1034 addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1035 addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1036 addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1037
1038 -- check overflow edge case
1039 precision: 7
1040 rounding: half_up
1041 maxExponent: 96
1042 minExponent: -95
1043 addx972 apply 9.999999E+96 -> 9.999999E+96
1044 addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded
1045 addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded
1046 addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded
1047 addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded
1048 addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded
1049 addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded
1050 addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded
1051 addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded
1052 addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded
1053 addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded
1054 addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded
1055 addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded
1056
1057 addx985 apply -9.999999E+96 -> -9.999999E+96
1058 addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded
1059 addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded
1060 addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded
1061 addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded
1062 addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded
1063 addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded
1064 addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded
1065 addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded
1066 addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded
1067 addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded
1068 addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded
1069 addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded
1070
1071 -- check for double-rounded subnormals
1072 precision: 5
1073 maxexponent: 79
1074 minexponent: -79
1075 -- Add: lhs and rhs 0
1076 addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1077 addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1078 addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1079 addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1080 addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1081 addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1082
1083 -- Add: lhs >> rhs and vice versa
1084 addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1085 addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1086 addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1087 addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1088 addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1089 addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1090
1091 -- Add: lhs + rhs addition carried out
1092 addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1093 addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1094 addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1095 addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1096 addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1097 addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1098
1099 -- And for round down full and subnormal results
1100 precision: 16
1101 maxExponent: +384
1102 minExponent: -383
1103 rounding: down
1104
1105 addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
1106 addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
1107 addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
1108 addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
1109 addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
1110 addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
1111 addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
1112 addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
1113 addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
1114
1115 rounding: ceiling
1116 addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
1117 addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
1118 addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
1119 addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
1120 addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
1121 addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
1122 addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
1123 addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
1124 addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
1125 addx1120 add +1e-383 -1e+2 -> -99.99999999999999 Rounded Inexact
1126 addx1121 add +1e-383 -1e+1 -> -9.999999999999999 Rounded Inexact
1127 addx1123 add +1e-383 -1 -> -0.9999999999999999 Rounded Inexact
1128 addx1124 add +1e-383 -1e-1 -> -0.09999999999999999 Rounded Inexact
1129 addx1125 add +1e-383 -1e-2 -> -0.009999999999999999 Rounded Inexact
1130 addx1126 add +1e-383 -1e-3 -> -0.0009999999999999999 Rounded Inexact
1131 addx1127 add +1e-383 -1e-4 -> -0.00009999999999999999 Rounded Inexact
1132 addx1128 add +1e-383 -1e-5 -> -0.000009999999999999999 Rounded Inexact
1133 addx1129 add +1e-383 -1e-6 -> -9.999999999999999E-7 Rounded Inexact
1134
1135 rounding: down
1136 precision: 7
1137 maxExponent: +96
1138 minExponent: -95
1139 addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact
1140 -- subnormal boundary
1141 addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
1142 addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
1143 addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
1144 addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
1145 addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
1146 addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
1147 addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
1148 addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
1149 addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1150 addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1151 addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1152 addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1153 addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1154 addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1155
1156 addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1157 addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1158 addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1159 addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1160 addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1161 addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1162 addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1163
1164 addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1165 addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1166
1167 -- tests based on Gunnar Degnbol's edge case
1168 precision: 15
1169 rounding: half_up
1170 maxExponent: 384
1171 minexponent: -383
1172
1173 addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
1174 addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
1175 addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded
1176 addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded
1177 addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded
1178 addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded
1179 addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded
1180 addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
1181 addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
1182 addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
1183 addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
1184 addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
1185 addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
1186 addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
1187 addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
1188 addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
1189 addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
1190 addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
1191 addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
1192
1193 precision: 16
1194
1195 addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
1196 addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
1197 addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
1198 addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
1199 addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
1200 addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
1201 addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
1202 addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
1203 addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
1204 addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
1205 addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
1206 addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
1207 addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
1208 addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
1209 addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
1210 addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
1211 addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1212 addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1213 addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1214 addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1215 addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1216 addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1217 addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1218 addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1219 addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1220 addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1221 addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
1222 addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
1223 addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
1224 addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
1225 addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
1226
1227 addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
1228 addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
1229
1230 addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
1231 addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
1232 addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
1233 addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
1234 addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
1235 addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
1236 addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
1237 addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
1238 addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
1239 addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
1240 addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
1241 addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
1242 addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
1243 addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
1244 addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
1245 addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
1246 addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1247 addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1248 addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1249 addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1250 addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1251 addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1252 addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1253 addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1254 addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1255 addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1256 addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
1257 addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
1258 addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
1259 addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
1260 addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
1261 addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
1262 addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
1263 addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
1264 addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
1265 addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
1266 addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
1267 addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
1268 addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
1269 addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
1270 addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
1271 addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
1272 addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
1273 addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
1274 addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
1275 addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
1276 addx1396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
1277
1278 -- More GD edge cases, where difference between the unadjusted
1279 -- exponents is larger than the maximum precision and one side is 0
1280 precision: 15
1281 rounding: half_up
1282 maxExponent: 384
1283 minexponent: -383
1284
1285 addx1400 add 0 1.23456789012345 -> 1.23456789012345
1286 addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345
1287 addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345
1288 addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345
1289 addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345
1290 addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345
1291 addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345
1292 addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7
1293 addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8
1294 addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9
1295 addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10
1296 addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11
1297 addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12
1298 addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13
1299 addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14
1300 addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15
1301 addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16
1302 addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17
1303 addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18
1304 addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19
1305
1306 -- same, precision 16..
1307 precision: 16
1308 addx1420 add 0 1.123456789012345 -> 1.123456789012345
1309 addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345
1310 addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345
1311 addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345
1312 addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
1313 addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
1314 addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
1315 addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
1316 addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
1317 addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
1318 addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
1319 addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
1320 addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
1321 addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
1322 addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
1323 addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
1324 addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
1325 addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
1326 addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
1327 addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
1328
1329 -- same, reversed 0
1330 addx1440 add 1.123456789012345 0 -> 1.123456789012345
1331 addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345
1332 addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345
1333 addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345
1334 addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
1335 addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
1336 addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
1337 addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
1338 addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
1339 addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
1340 addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
1341 addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
1342 addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
1343 addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
1344 addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
1345 addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
1346 addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
1347 addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
1348 addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
1349 addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
1350
1351 -- same, Es on the 0
1352 addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345
1353 addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345
1354 addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345
1355 addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345
1356 addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345
1357 addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345
1358 addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345
1359 addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345
1360 addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345
1361 addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345
1362 addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345
1363 addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345
1364 addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345
1365 addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345
1366 addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345
1367 addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345
1368 -- next four flag Rounded because the 0 extends the result
1369 addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
1370 addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
1371 addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
1372 addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
1373
1374 -- sum of two opposite-sign operands is exactly 0 and floor => -0
1375 precision: 16
1376 maxExponent: 384
1377 minexponent: -383
1378
1379 rounding: half_up
1380 -- exact zeros from zeros
1381 addx1500 add 0 0E-19 -> 0E-19
1382 addx1501 add -0 0E-19 -> 0E-19
1383 addx1502 add 0 -0E-19 -> 0E-19
1384 addx1503 add -0 -0E-19 -> -0E-19
1385 addx1504 add 0E-400 0E-19 -> 0E-398 Clamped
1386 addx1505 add -0E-400 0E-19 -> 0E-398 Clamped
1387 addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped
1388 addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped
1389 -- inexact zeros
1390 addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1391 addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1392 addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1393 addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1394 -- some exact zeros from non-zeros
1395 addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1396 addx1516 add -1E-401 1E-401 -> 0E-398 Clamped
1397 addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped
1398 addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1399
1400 rounding: half_down
1401 -- exact zeros from zeros
1402 addx1520 add 0 0E-19 -> 0E-19
1403 addx1521 add -0 0E-19 -> 0E-19
1404 addx1522 add 0 -0E-19 -> 0E-19
1405 addx1523 add -0 -0E-19 -> -0E-19
1406 addx1524 add 0E-400 0E-19 -> 0E-398 Clamped
1407 addx1525 add -0E-400 0E-19 -> 0E-398 Clamped
1408 addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped
1409 addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped
1410 -- inexact zeros
1411 addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1412 addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1413 addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1414 addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1415 -- some exact zeros from non-zeros
1416 addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1417 addx1536 add -1E-401 1E-401 -> 0E-398 Clamped
1418 addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped
1419 addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1420
1421 rounding: half_even
1422 -- exact zeros from zeros
1423 addx1540 add 0 0E-19 -> 0E-19
1424 addx1541 add -0 0E-19 -> 0E-19
1425 addx1542 add 0 -0E-19 -> 0E-19
1426 addx1543 add -0 -0E-19 -> -0E-19
1427 addx1544 add 0E-400 0E-19 -> 0E-398 Clamped
1428 addx1545 add -0E-400 0E-19 -> 0E-398 Clamped
1429 addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped
1430 addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped
1431 -- inexact zeros
1432 addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1433 addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1434 addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1435 addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1436 -- some exact zeros from non-zeros
1437 addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1438 addx1556 add -1E-401 1E-401 -> 0E-398 Clamped
1439 addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped
1440 addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1441
1442 rounding: up
1443 -- exact zeros from zeros
1444 addx1560 add 0 0E-19 -> 0E-19
1445 addx1561 add -0 0E-19 -> 0E-19
1446 addx1562 add 0 -0E-19 -> 0E-19
1447 addx1563 add -0 -0E-19 -> -0E-19
1448 addx1564 add 0E-400 0E-19 -> 0E-398 Clamped
1449 addx1565 add -0E-400 0E-19 -> 0E-398 Clamped
1450 addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped
1451 addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped
1452 -- inexact zeros
1453 addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1454 addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1455 addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1456 addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1457 -- some exact zeros from non-zeros
1458 addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
1459 addx1576 add -1E-401 1E-401 -> 0E-398 Clamped
1460 addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped
1461 addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
1462
1463 rounding: down
1464 -- exact zeros from zeros
1465 addx1580 add 0 0E-19 -> 0E-19
1466 addx1581 add -0 0E-19 -> 0E-19
1467 addx1582 add 0 -0E-19 -> 0E-19
1468 addx1583 add -0 -0E-19 -> -0E-19
1469 addx1584 add 0E-400 0E-19 -> 0E-398 Clamped
1470 addx1585 add -0E-400 0E-19 -> 0E-398 Clamped
1471 addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped
1472 addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped
1473 -- inexact zeros
1474 addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1475 addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1476 addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1477 addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1478 -- some exact zeros from non-zeros
1479 addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1480 addx1596 add -1E-401 1E-401 -> 0E-398 Clamped
1481 addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped
1482 addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1483
1484 rounding: ceiling
1485 -- exact zeros from zeros
1486 addx1600 add 0 0E-19 -> 0E-19
1487 addx1601 add -0 0E-19 -> 0E-19
1488 addx1602 add 0 -0E-19 -> 0E-19
1489 addx1603 add -0 -0E-19 -> -0E-19
1490 addx1604 add 0E-400 0E-19 -> 0E-398 Clamped
1491 addx1605 add -0E-400 0E-19 -> 0E-398 Clamped
1492 addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped
1493 addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped
1494 -- inexact zeros
1495 addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1496 addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1497 addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1498 addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1499 -- some exact zeros from non-zeros
1500 addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
1501 addx1616 add -1E-401 1E-401 -> 0E-398 Clamped
1502 addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped
1503 addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1504
1505 -- and the extra-special ugly case; unusual minuses marked by -- *
1506 rounding: floor
1507 -- exact zeros from zeros
1508 addx1620 add 0 0E-19 -> 0E-19
1509 addx1621 add -0 0E-19 -> -0E-19 -- *
1510 addx1622 add 0 -0E-19 -> -0E-19 -- *
1511 addx1623 add -0 -0E-19 -> -0E-19
1512 addx1624 add 0E-400 0E-19 -> 0E-398 Clamped
1513 addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
1514 addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
1515 addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped
1516 -- inexact zeros
1517 addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1518 addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1519 addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1520 addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1521 -- some exact zeros from non-zeros
1522 addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1523 addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
1524 addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
1525 addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
1526
1527 -- BigDecimal problem testcases 2006.01.23
1528 precision: 16
1529 maxExponent: 384
1530 minexponent: -383
1531
1532 rounding: down
1533 precision: 7
1534 addx1651 add 10001E+2 -2E+1 -> 1.00008E+6
1535 precision: 6
1536 addx1652 add 10001E+2 -2E+1 -> 1.00008E+6
1537 precision: 5
1538 addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
1539 precision: 4
1540 addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
1541 precision: 3
1542 addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
1543 precision: 2
1544 addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
1545 precision: 1
1546 addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
1547
1548 rounding: half_even
1549 precision: 7
1550 addx1661 add 10001E+2 -2E+1 -> 1.00008E+6
1551 precision: 6
1552 addx1662 add 10001E+2 -2E+1 -> 1.00008E+6
1553 precision: 5
1554 addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
1555 precision: 4
1556 addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
1557 precision: 3
1558 addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
1559 precision: 2
1560 addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
1561 precision: 1
1562 addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
1563
1564 rounding: up
1565 precision: 7
1566 addx1671 add 10001E+2 -2E+1 -> 1.00008E+6
1567 precision: 6
1568 addx1672 add 10001E+2 -2E+1 -> 1.00008E+6
1569 precision: 5
1570 addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
1571 precision: 4
1572 addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
1573 precision: 3
1574 addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
1575 precision: 2
1576 addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
1577 precision: 1
1578 addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
1579
1580 precision: 34
1581 rounding: half_up
1582 maxExponent: 6144
1583 minExponent: -6143
1584 -- Examples from SQL proposal (Krishna Kulkarni)
1585 addx1701 add 130E-2 120E-2 -> 2.50
1586 addx1702 add 130E-2 12E-1 -> 2.50
1587 addx1703 add 130E-2 1E0 -> 2.30
1588 addx1704 add 1E2 1E4 -> 1.01E+4
1589 addx1705 subtract 130E-2 120E-2 -> 0.10
1590 addx1706 subtract 130E-2 12E-1 -> 0.10
1591 addx1707 subtract 130E-2 1E0 -> 0.30
1592 addx1708 subtract 1E2 1E4 -> -9.9E+3
1593
1594 ------------------------------------------------------------------------
1595 -- Same as above, using decimal64 default parameters --
1596 ------------------------------------------------------------------------
1597 precision: 16
1598 rounding: half_even
1599 maxExponent: 384
1600 minexponent: -383
1601
1602 -- [first group are 'quick confidence check']
1603 addx6001 add 1 1 -> 2
1604 addx6002 add 2 3 -> 5
1605 addx6003 add '5.75' '3.3' -> 9.05
1606 addx6004 add '5' '-3' -> 2
1607 addx6005 add '-5' '-3' -> -8
1608 addx6006 add '-7' '2.5' -> -4.5
1609 addx6007 add '0.7' '0.3' -> 1.0
1610 addx6008 add '1.25' '1.25' -> 2.50
1611 addx6009 add '1.23456789' '1.00000000' -> '2.23456789'
1612 addx6010 add '1.23456789' '1.00000011' -> '2.23456800'
1613
1614 addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
1615 addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
1616 addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
1617 addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
1618 addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
1619 addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
1620 addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
1621 addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
1622 addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
1623 addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
1624
1625 addx6021 add 0 1 -> 1
1626 addx6022 add 1 1 -> 2
1627 addx6023 add 2 1 -> 3
1628 addx6024 add 3 1 -> 4
1629 addx6025 add 4 1 -> 5
1630 addx6026 add 5 1 -> 6
1631 addx6027 add 6 1 -> 7
1632 addx6028 add 7 1 -> 8
1633 addx6029 add 8 1 -> 9
1634 addx6030 add 9 1 -> 10
1635
1636 -- some carrying effects
1637 addx6031 add '0.9998' '0.0000' -> '0.9998'
1638 addx6032 add '0.9998' '0.0001' -> '0.9999'
1639 addx6033 add '0.9998' '0.0002' -> '1.0000'
1640 addx6034 add '0.9998' '0.0003' -> '1.0001'
1641
1642 addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
1643 addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
1644 addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
1645 addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
1646 addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
1647
1648 -- symmetry:
1649 addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
1650 addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
1651 addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
1652 addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
1653 addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
1654
1655 addx6046 add '10000e+9' '7' -> '10000000000007'
1656 addx6047 add '10000e+9' '70' -> '10000000000070'
1657 addx6048 add '10000e+9' '700' -> '10000000000700'
1658 addx6049 add '10000e+9' '7000' -> '10000000007000'
1659 addx6050 add '10000e+9' '70000' -> '10000000070000'
1660 addx6051 add '10000e+9' '700000' -> '10000000700000'
1661
1662 -- examples from decarith
1663 addx6053 add '12' '7.00' -> '19.00'
1664 addx6054 add '1.3' '-1.07' -> '0.23'
1665 addx6055 add '1.3' '-1.30' -> '0.00'
1666 addx6056 add '1.3' '-2.07' -> '-0.77'
1667 addx6057 add '1E+2' '1E+4' -> '1.01E+4'
1668
1669 -- from above
1670 addx6060 add 1 '0.1' -> '1.1'
1671 addx6061 add 1 '0.01' -> '1.01'
1672 addx6062 add 1 '0.001' -> '1.001'
1673 addx6063 add 1 '0.0001' -> '1.0001'
1674 addx6064 add 1 '0.00001' -> '1.00001'
1675 addx6065 add 1 '0.000001' -> '1.000001'
1676 addx6066 add 1 '0.0000001' -> '1.0000001'
1677 addx6067 add 1 '0.00000001' -> '1.00000001'
1678
1679 -- cancellation to integer
1680 addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789
1681 -- similar from FMA fun
1682 addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546
1683
1684 -- some funny zeros [in case of bad signum]
1685 addx6070 add 1 0 -> 1
1686 addx6071 add 1 0. -> 1
1687 addx6072 add 1 .0 -> 1.0
1688 addx6073 add 1 0.0 -> 1.0
1689 addx6074 add 1 0.00 -> 1.00
1690 addx6075 add 0 1 -> 1
1691 addx6076 add 0. 1 -> 1
1692 addx6077 add .0 1 -> 1.0
1693 addx6078 add 0.0 1 -> 1.0
1694 addx6079 add 0.00 1 -> 1.00
1695
1696 -- some carries
1697 addx6080 add 9999999999999998 1 -> 9999999999999999
1698 addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded
1699 addx6082 add 999999999999999 1 -> 1000000000000000
1700 addx6083 add 9999999999999 1 -> 10000000000000
1701 addx6084 add 99999999999 1 -> 100000000000
1702 addx6085 add 999999999 1 -> 1000000000
1703 addx6086 add 9999999 1 -> 10000000
1704 addx6087 add 99999 1 -> 100000
1705 addx6088 add 999 1 -> 1000
1706 addx6089 add 9 1 -> 10
1707
1708
1709 -- more LHS swaps
1710 addx6090 add '-56267E-10' 0 -> '-0.0000056267'
1711 addx6091 add '-56267E-6' 0 -> '-0.056267'
1712 addx6092 add '-56267E-5' 0 -> '-0.56267'
1713 addx6093 add '-56267E-4' 0 -> '-5.6267'
1714 addx6094 add '-56267E-3' 0 -> '-56.267'
1715 addx6095 add '-56267E-2' 0 -> '-562.67'
1716 addx6096 add '-56267E-1' 0 -> '-5626.7'
1717 addx6097 add '-56267E-0' 0 -> '-56267'
1718 addx6098 add '-5E-10' 0 -> '-5E-10'
1719 addx6099 add '-5E-7' 0 -> '-5E-7'
1720 addx6100 add '-5E-6' 0 -> '-0.000005'
1721 addx6101 add '-5E-5' 0 -> '-0.00005'
1722 addx6102 add '-5E-4' 0 -> '-0.0005'
1723 addx6103 add '-5E-1' 0 -> '-0.5'
1724 addx6104 add '-5E0' 0 -> '-5'
1725 addx6105 add '-5E1' 0 -> '-50'
1726 addx6106 add '-5E5' 0 -> '-500000'
1727 addx6107 add '-5E15' 0 -> '-5000000000000000'
1728 addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded
1729 addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded
1730 addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded
1731 addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded
1732
1733 -- more RHS swaps
1734 addx6113 add 0 '-56267E-10' -> '-0.0000056267'
1735 addx6114 add 0 '-56267E-6' -> '-0.056267'
1736 addx6116 add 0 '-56267E-5' -> '-0.56267'
1737 addx6117 add 0 '-56267E-4' -> '-5.6267'
1738 addx6119 add 0 '-56267E-3' -> '-56.267'
1739 addx6120 add 0 '-56267E-2' -> '-562.67'
1740 addx6121 add 0 '-56267E-1' -> '-5626.7'
1741 addx6122 add 0 '-56267E-0' -> '-56267'
1742 addx6123 add 0 '-5E-10' -> '-5E-10'
1743 addx6124 add 0 '-5E-7' -> '-5E-7'
1744 addx6125 add 0 '-5E-6' -> '-0.000005'
1745 addx6126 add 0 '-5E-5' -> '-0.00005'
1746 addx6127 add 0 '-5E-4' -> '-0.0005'
1747 addx6128 add 0 '-5E-1' -> '-0.5'
1748 addx6129 add 0 '-5E0' -> '-5'
1749 addx6130 add 0 '-5E1' -> '-50'
1750 addx6131 add 0 '-5E5' -> '-500000'
1751 addx6132 add 0 '-5E15' -> '-5000000000000000'
1752 addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded
1753 addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded
1754 addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded
1755 addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded
1756
1757 -- related
1758 addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded
1759 addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded
1760 addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded
1761 addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded
1762 addx6141 add 1E+11 0.0000 -> '100000000000.0000'
1763 addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded
1764 addx6143 add 0.000 1E+12 -> '1000000000000.000'
1765 addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded
1766
1767 -- [some of the next group are really constructor tests]
1768 addx6146 add '00.0' 0 -> '0.0'
1769 addx6147 add '0.00' 0 -> '0.00'
1770 addx6148 add 0 '0.00' -> '0.00'
1771 addx6149 add 0 '00.0' -> '0.0'
1772 addx6150 add '00.0' '0.00' -> '0.00'
1773 addx6151 add '0.00' '00.0' -> '0.00'
1774 addx6152 add '3' '.3' -> '3.3'
1775 addx6153 add '3.' '.3' -> '3.3'
1776 addx6154 add '3.0' '.3' -> '3.3'
1777 addx6155 add '3.00' '.3' -> '3.30'
1778 addx6156 add '3' '3' -> '6'
1779 addx6157 add '3' '+3' -> '6'
1780 addx6158 add '3' '-3' -> '0'
1781 addx6159 add '0.3' '-0.3' -> '0.0'
1782 addx6160 add '0.03' '-0.03' -> '0.00'
1783
1784 -- try borderline precision, with carries, etc.
1785 addx6161 add '1E+13' '-1' -> '9999999999999'
1786 addx6162 add '1E+13' '1.11' -> '10000000000001.11'
1787 addx6163 add '1.11' '1E+13' -> '10000000000001.11'
1788 addx6164 add '-1' '1E+13' -> '9999999999999'
1789 addx6165 add '7E+13' '-1' -> '69999999999999'
1790 addx6166 add '7E+13' '1.11' -> '70000000000001.11'
1791 addx6167 add '1.11' '7E+13' -> '70000000000001.11'
1792 addx6168 add '-1' '7E+13' -> '69999999999999'
1793
1794 -- 1234567890123456 1234567890123456 1 234567890123456
1795 addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
1796 addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
1797 addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
1798 addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
1799 addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
1800 addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
1801 addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
1802 addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
1803 addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
1804 addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
1805 addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
1806 addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
1807 addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
1808 addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
1809
1810 -- and some more, including residue effects and different roundings
1811 rounding: half_up
1812 addx6200 add '6543210123456789' 0 -> '6543210123456789'
1813 addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1814 addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1815 addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1816 addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1817 addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1818 addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1819 addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1820 addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
1821 addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
1822 addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
1823 addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
1824 addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
1825 addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
1826 addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
1827 addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
1828 addx6216 add '6543210123456789' 1 -> '6543210123456790'
1829 addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
1830 addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1831 addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1832
1833 rounding: half_even
1834 addx6220 add '6543210123456789' 0 -> '6543210123456789'
1835 addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1836 addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1837 addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1838 addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1839 addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1840 addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1841 addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1842 addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
1843 addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
1844 addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
1845 addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
1846 addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
1847 addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
1848 addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
1849 addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
1850 addx6236 add '6543210123456789' 1 -> '6543210123456790'
1851 addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
1852 addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1853 addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1854 -- critical few with even bottom digit...
1855 addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
1856 addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
1857 addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
1858
1859 rounding: down
1860 addx6250 add '6543210123456789' 0 -> '6543210123456789'
1861 addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1862 addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1863 addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1864 addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1865 addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1866 addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1867 addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1868 addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
1869 addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
1870 addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
1871 addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
1872 addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
1873 addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
1874 addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
1875 addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
1876 addx6266 add '6543210123456789' 1 -> '6543210123456790'
1877 addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
1878 addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1879 addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1880
1881 -- 1 in last place tests
1882 rounding: half_even
1883 addx6301 add -1 1 -> 0
1884 addx6302 add 0 1 -> 1
1885 addx6303 add 1 1 -> 2
1886 addx6304 add 12 1 -> 13
1887 addx6305 add 98 1 -> 99
1888 addx6306 add 99 1 -> 100
1889 addx6307 add 100 1 -> 101
1890 addx6308 add 101 1 -> 102
1891 addx6309 add -1 -1 -> -2
1892 addx6310 add 0 -1 -> -1
1893 addx6311 add 1 -1 -> 0
1894 addx6312 add 12 -1 -> 11
1895 addx6313 add 98 -1 -> 97
1896 addx6314 add 99 -1 -> 98
1897 addx6315 add 100 -1 -> 99
1898 addx6316 add 101 -1 -> 100
1899
1900 addx6321 add -0.01 0.01 -> 0.00
1901 addx6322 add 0.00 0.01 -> 0.01
1902 addx6323 add 0.01 0.01 -> 0.02
1903 addx6324 add 0.12 0.01 -> 0.13
1904 addx6325 add 0.98 0.01 -> 0.99
1905 addx6326 add 0.99 0.01 -> 1.00
1906 addx6327 add 1.00 0.01 -> 1.01
1907 addx6328 add 1.01 0.01 -> 1.02
1908 addx6329 add -0.01 -0.01 -> -0.02
1909 addx6330 add 0.00 -0.01 -> -0.01
1910 addx6331 add 0.01 -0.01 -> 0.00
1911 addx6332 add 0.12 -0.01 -> 0.11
1912 addx6333 add 0.98 -0.01 -> 0.97
1913 addx6334 add 0.99 -0.01 -> 0.98
1914 addx6335 add 1.00 -0.01 -> 0.99
1915 addx6336 add 1.01 -0.01 -> 1.00
1916
1917 -- some more cases where adding 0 affects the coefficient
1918 addx6340 add 1E+3 0 -> 1000
1919 addx6341 add 1E+15 0 -> 1000000000000000
1920 addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded
1921 addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded
1922 -- which simply follow from these cases ...
1923 addx6344 add 1E+3 1 -> 1001
1924 addx6345 add 1E+15 1 -> 1000000000000001
1925 addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
1926 addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
1927 addx6348 add 1E+3 7 -> 1007
1928 addx6349 add 1E+15 7 -> 1000000000000007
1929 addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
1930 addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
1931
1932 -- tryzeros cases
1933 addx6361 add 0E+50 10000E+1 -> 1.0000E+5
1934 addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded
1935 addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
1936 addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded
1937
1938 -- ulp replacement tests
1939 addx6400 add 1 77e-14 -> 1.00000000000077
1940 addx6401 add 1 77e-15 -> 1.000000000000077
1941 addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded
1942 addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded
1943 addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded
1944 addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded
1945 addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded
1946
1947 addx6410 add 10 77e-14 -> 10.00000000000077
1948 addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded
1949 addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded
1950 addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded
1951 addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded
1952 addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded
1953 addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded
1954
1955 addx6420 add 77e-14 1 -> 1.00000000000077
1956 addx6421 add 77e-15 1 -> 1.000000000000077
1957 addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded
1958 addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded
1959 addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded
1960 addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded
1961 addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded
1962
1963 addx6430 add 77e-14 10 -> 10.00000000000077
1964 addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded
1965 addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded
1966 addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded
1967 addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded
1968 addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded
1969 addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded
1970
1971 -- negative ulps
1972 addx6440 add 1 -77e-14 -> 0.99999999999923
1973 addx6441 add 1 -77e-15 -> 0.999999999999923
1974 addx6442 add 1 -77e-16 -> 0.9999999999999923
1975 addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
1976 addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
1977 addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded
1978 addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded
1979
1980 addx6450 add 10 -77e-14 -> 9.99999999999923
1981 addx6451 add 10 -77e-15 -> 9.999999999999923
1982 addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded
1983 addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded
1984 addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded
1985 addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded
1986 addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded
1987
1988 addx6460 add -77e-14 1 -> 0.99999999999923
1989 addx6461 add -77e-15 1 -> 0.999999999999923
1990 addx6462 add -77e-16 1 -> 0.9999999999999923
1991 addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded
1992 addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded
1993 addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded
1994 addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded
1995
1996 addx6470 add -77e-14 10 -> 9.99999999999923
1997 addx6471 add -77e-15 10 -> 9.999999999999923
1998 addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded
1999 addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded
2000 addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded
2001 addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded
2002 addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded
2003
2004 -- negative ulps
2005 addx6480 add -1 77e-14 -> -0.99999999999923
2006 addx6481 add -1 77e-15 -> -0.999999999999923
2007 addx6482 add -1 77e-16 -> -0.9999999999999923
2008 addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded
2009 addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded
2010 addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded
2011 addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded
2012
2013 addx6490 add -10 77e-14 -> -9.99999999999923
2014 addx6491 add -10 77e-15 -> -9.999999999999923
2015 addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded
2016 addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded
2017 addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded
2018 addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded
2019 addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded
2020
2021 addx6500 add 77e-14 -1 -> -0.99999999999923
2022 addx6501 add 77e-15 -1 -> -0.999999999999923
2023 addx6502 add 77e-16 -1 -> -0.9999999999999923
2024 addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
2025 addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
2026 addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded
2027 addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded
2028
2029 addx6510 add 77e-14 -10 -> -9.99999999999923
2030 addx6511 add 77e-15 -10 -> -9.999999999999923
2031 addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded
2032 addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded
2033 addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded
2034 addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded
2035 addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded
2036
2037
2038 -- long operands
2039 addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded
2040 addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded
2041 addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded
2042 addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded
2043 addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded
2044 addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded
2045 addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
2046 addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
2047 addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
2048 addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
2049 addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
2050 addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
2051
2052 -- verify a query
2053 rounding: down
2054 addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
2055 addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
2056 -- and using decimal64 bounds...
2057 rounding: down
2058 addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
2059 addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
2060
2061 -- more zeros, etc.
2062 rounding: half_even
2063
2064 addx6701 add 5.00 1.00E-3 -> 5.00100
2065 addx6702 add 00.00 0.000 -> 0.000
2066 addx6703 add 00.00 0E-3 -> 0.000
2067 addx6704 add 0E-3 00.00 -> 0.000
2068
2069 addx6710 add 0E+3 00.00 -> 0.00
2070 addx6711 add 0E+3 00.0 -> 0.0
2071 addx6712 add 0E+3 00. -> 0
2072 addx6713 add 0E+3 00.E+1 -> 0E+1
2073 addx6714 add 0E+3 00.E+2 -> 0E+2
2074 addx6715 add 0E+3 00.E+3 -> 0E+3
2075 addx6716 add 0E+3 00.E+4 -> 0E+3
2076 addx6717 add 0E+3 00.E+5 -> 0E+3
2077 addx6718 add 0E+3 -00.0 -> 0.0
2078 addx6719 add 0E+3 -00. -> 0
2079 addx6731 add 0E+3 -00.E+1 -> 0E+1
2080
2081 addx6720 add 00.00 0E+3 -> 0.00
2082 addx6721 add 00.0 0E+3 -> 0.0
2083 addx6722 add 00. 0E+3 -> 0
2084 addx6723 add 00.E+1 0E+3 -> 0E+1
2085 addx6724 add 00.E+2 0E+3 -> 0E+2
2086 addx6725 add 00.E+3 0E+3 -> 0E+3
2087 addx6726 add 00.E+4 0E+3 -> 0E+3
2088 addx6727 add 00.E+5 0E+3 -> 0E+3
2089 addx6728 add -00.00 0E+3 -> 0.00
2090 addx6729 add -00.0 0E+3 -> 0.0
2091 addx6730 add -00. 0E+3 -> 0
2092
2093 addx6732 add 0 0 -> 0
2094 addx6733 add 0 -0 -> 0
2095 addx6734 add -0 0 -> 0
2096 addx6735 add -0 -0 -> -0 -- IEEE 854 special case
2097
2098 addx6736 add 1 -1 -> 0
2099 addx6737 add -1 -1 -> -2
2100 addx6738 add 1 1 -> 2
2101 addx6739 add -1 1 -> 0
2102
2103 addx6741 add 0 -1 -> -1
2104 addx6742 add -0 -1 -> -1
2105 addx6743 add 0 1 -> 1
2106 addx6744 add -0 1 -> 1
2107 addx6745 add -1 0 -> -1
2108 addx6746 add -1 -0 -> -1
2109 addx6747 add 1 0 -> 1
2110 addx6748 add 1 -0 -> 1
2111
2112 addx6751 add 0.0 -1 -> -1.0
2113 addx6752 add -0.0 -1 -> -1.0
2114 addx6753 add 0.0 1 -> 1.0
2115 addx6754 add -0.0 1 -> 1.0
2116 addx6755 add -1.0 0 -> -1.0
2117 addx6756 add -1.0 -0 -> -1.0
2118 addx6757 add 1.0 0 -> 1.0
2119 addx6758 add 1.0 -0 -> 1.0
2120
2121 addx6761 add 0 -1.0 -> -1.0
2122 addx6762 add -0 -1.0 -> -1.0
2123 addx6763 add 0 1.0 -> 1.0
2124 addx6764 add -0 1.0 -> 1.0
2125 addx6765 add -1 0.0 -> -1.0
2126 addx6766 add -1 -0.0 -> -1.0
2127 addx6767 add 1 0.0 -> 1.0
2128 addx6768 add 1 -0.0 -> 1.0
2129
2130 addx6771 add 0.0 -1.0 -> -1.0
2131 addx6772 add -0.0 -1.0 -> -1.0
2132 addx6773 add 0.0 1.0 -> 1.0
2133 addx6774 add -0.0 1.0 -> 1.0
2134 addx6775 add -1.0 0.0 -> -1.0
2135 addx6776 add -1.0 -0.0 -> -1.0
2136 addx6777 add 1.0 0.0 -> 1.0
2137 addx6778 add 1.0 -0.0 -> 1.0
2138
2139 -- Specials
2140 addx6780 add -Inf -Inf -> -Infinity
2141 addx6781 add -Inf -1000 -> -Infinity
2142 addx6782 add -Inf -1 -> -Infinity
2143 addx6783 add -Inf -0 -> -Infinity
2144 addx6784 add -Inf 0 -> -Infinity
2145 addx6785 add -Inf 1 -> -Infinity
2146 addx6786 add -Inf 1000 -> -Infinity
2147 addx6787 add -1000 -Inf -> -Infinity
2148 addx6788 add -Inf -Inf -> -Infinity
2149 addx6789 add -1 -Inf -> -Infinity
2150 addx6790 add -0 -Inf -> -Infinity
2151 addx6791 add 0 -Inf -> -Infinity
2152 addx6792 add 1 -Inf -> -Infinity
2153 addx6793 add 1000 -Inf -> -Infinity
2154 addx6794 add Inf -Inf -> NaN Invalid_operation
2155
2156 addx6800 add Inf -Inf -> NaN Invalid_operation
2157 addx6801 add Inf -1000 -> Infinity
2158 addx6802 add Inf -1 -> Infinity
2159 addx6803 add Inf -0 -> Infinity
2160 addx6804 add Inf 0 -> Infinity
2161 addx6805 add Inf 1 -> Infinity
2162 addx6806 add Inf 1000 -> Infinity
2163 addx6807 add Inf Inf -> Infinity
2164 addx6808 add -1000 Inf -> Infinity
2165 addx6809 add -Inf Inf -> NaN Invalid_operation
2166 addx6810 add -1 Inf -> Infinity
2167 addx6811 add -0 Inf -> Infinity
2168 addx6812 add 0 Inf -> Infinity
2169 addx6813 add 1 Inf -> Infinity
2170 addx6814 add 1000 Inf -> Infinity
2171 addx6815 add Inf Inf -> Infinity
2172
2173 addx6821 add NaN -Inf -> NaN
2174 addx6822 add NaN -1000 -> NaN
2175 addx6823 add NaN -1 -> NaN
2176 addx6824 add NaN -0 -> NaN
2177 addx6825 add NaN 0 -> NaN
2178 addx6826 add NaN 1 -> NaN
2179 addx6827 add NaN 1000 -> NaN
2180 addx6828 add NaN Inf -> NaN
2181 addx6829 add NaN NaN -> NaN
2182 addx6830 add -Inf NaN -> NaN
2183 addx6831 add -1000 NaN -> NaN
2184 addx6832 add -1 NaN -> NaN
2185 addx6833 add -0 NaN -> NaN
2186 addx6834 add 0 NaN -> NaN
2187 addx6835 add 1 NaN -> NaN
2188 addx6836 add 1000 NaN -> NaN
2189 addx6837 add Inf NaN -> NaN
2190
2191 addx6841 add sNaN -Inf -> NaN Invalid_operation
2192 addx6842 add sNaN -1000 -> NaN Invalid_operation
2193 addx6843 add sNaN -1 -> NaN Invalid_operation
2194 addx6844 add sNaN -0 -> NaN Invalid_operation
2195 addx6845 add sNaN 0 -> NaN Invalid_operation
2196 addx6846 add sNaN 1 -> NaN Invalid_operation
2197 addx6847 add sNaN 1000 -> NaN Invalid_operation
2198 addx6848 add sNaN NaN -> NaN Invalid_operation
2199 addx6849 add sNaN sNaN -> NaN Invalid_operation
2200 addx6850 add NaN sNaN -> NaN Invalid_operation
2201 addx6851 add -Inf sNaN -> NaN Invalid_operation
2202 addx6852 add -1000 sNaN -> NaN Invalid_operation
2203 addx6853 add -1 sNaN -> NaN Invalid_operation
2204 addx6854 add -0 sNaN -> NaN Invalid_operation
2205 addx6855 add 0 sNaN -> NaN Invalid_operation
2206 addx6856 add 1 sNaN -> NaN Invalid_operation
2207 addx6857 add 1000 sNaN -> NaN Invalid_operation
2208 addx6858 add Inf sNaN -> NaN Invalid_operation
2209 addx6859 add NaN sNaN -> NaN Invalid_operation
2210
2211 -- propagating NaNs
2212 addx6861 add NaN1 -Inf -> NaN1
2213 addx6862 add +NaN2 -1000 -> NaN2
2214 addx6863 add NaN3 1000 -> NaN3
2215 addx6864 add NaN4 Inf -> NaN4
2216 addx6865 add NaN5 +NaN6 -> NaN5
2217 addx6866 add -Inf NaN7 -> NaN7
2218 addx6867 add -1000 NaN8 -> NaN8
2219 addx6868 add 1000 NaN9 -> NaN9
2220 addx6869 add Inf +NaN10 -> NaN10
2221 addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation
2222 addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation
2223 addx6873 add sNaN13 1000 -> NaN13 Invalid_operation
2224 addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation
2225 addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
2226 addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation
2227 addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation
2228 addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation
2229 addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation
2230 addx6880 add Inf sNaN23 -> NaN23 Invalid_operation
2231 addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
2232 addx6882 add -NaN26 NaN28 -> -NaN26
2233 addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
2234 addx6884 add 1000 -NaN30 -> -NaN30
2235 addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
2236
2237 -- now the case where we can get underflow but the result is normal
2238 -- [note this can't happen if the operands are also bounded, as we
2239 -- cannot represent 1E-399, for example]
2240
2241 addx6571 add 1E-383 0 -> 1E-383
2242 addx6572 add 1E-384 0 -> 1E-384 Subnormal
2243 addx6573 add 1E-383 1E-384 -> 1.1E-383
2244 addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
2245
2246 -- Here we explore the boundary of rounding a subnormal to Nmin
2247 addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2248 addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2249 addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2250 addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2251 addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2252 addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2253
2254 -- check overflow edge case
2255 -- 1234567890123456
2256 addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
2257 addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
2258 addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
2259 addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
2260 addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
2261 addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
2262 addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
2263 addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
2264 addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
2265 addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
2266 addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
2267 addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
2268 addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
2269
2270 addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
2271 addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
2272 addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
2273 addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
2274 addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
2275 addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
2276 addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
2277 addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
2278 addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
2279 addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
2280 addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
2281 addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
2282 addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
2283
2284 -- And for round down full and subnormal results
2285 rounding: down
2286 addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
2287 addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
2288 addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
2289 addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
2290 addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
2291 addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
2292 addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
2293 addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
2294 addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
2295
2296 rounding: ceiling
2297 addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
2298 addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
2299 addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
2300 addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
2301 addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
2302 addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
2303 addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
2304 addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
2305 addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
2306
2307 -- tests based on Gunnar Degnbol's edge case
2308 rounding: half_even
2309
2310 addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
2311 addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
2312 addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
2313 addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
2314 addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
2315 addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
2316 addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
2317 addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
2318 addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
2319 addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
2320 addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
2321 addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
2322 addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
2323 addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
2324 addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
2325 addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
2326 addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
2327 addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
2328 addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
2329 addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
2330 addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
2331 addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
2332 addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
2333 addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
2334 addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
2335 addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
2336 addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
2337 addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
2338 addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
2339 addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
2340 addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
2341
2342 addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
2343 addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
2344
2345 addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
2346 addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
2347 addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
2348 addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
2349 addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
2350 addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
2351 addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
2352 addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
2353 addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
2354 addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
2355 addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
2356 addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
2357 addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
2358 addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
2359 addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
2360 addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
2361 addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
2362 addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
2363 addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
2364 addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
2365 addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
2366 addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
2367 addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
2368 addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
2369 addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
2370 addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
2371 addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
2372 addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
2373 addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
2374 addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
2375 addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
2376 addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
2377 addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
2378 addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
2379 addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
2380 addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
2381 addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
2382 addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
2383 addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
2384 addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
2385 addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
2386 addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
2387 addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
2388 addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
2389 addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
2390 addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
2391 addx61396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
2392
2393 -- More GD edge cases, where difference between the unadjusted
2394 -- exponents is larger than the maximum precision and one side is 0
2395 addx61420 add 0 1.123456789012345 -> 1.123456789012345
2396 addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345
2397 addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345
2398 addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345
2399 addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
2400 addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
2401 addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
2402 addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
2403 addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
2404 addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
2405 addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
2406 addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
2407 addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
2408 addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
2409 addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
2410 addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
2411 addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
2412 addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
2413 addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
2414 addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
2415
2416 -- same, reversed 0
2417 addx61440 add 1.123456789012345 0 -> 1.123456789012345
2418 addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345
2419 addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345
2420 addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345
2421 addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
2422 addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
2423 addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
2424 addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
2425 addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
2426 addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
2427 addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
2428 addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
2429 addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
2430 addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
2431 addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
2432 addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
2433 addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
2434 addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
2435 addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
2436 addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
2437
2438 -- same, Es on the 0
2439 addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345
2440 addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345
2441 addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345
2442 addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345
2443 addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345
2444 addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345
2445 addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345
2446 addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345
2447 addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345
2448 addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345
2449 addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345
2450 addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345
2451 addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345
2452 addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345
2453 addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345
2454 addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345
2455 -- next four flag Rounded because the 0 extends the result
2456 addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
2457 addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
2458 addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
2459 addx61479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
2460
2461 -- sum of two opposite-sign operands is exactly 0 and floor => -0
2462 rounding: half_up
2463 -- exact zeros from zeros
2464 addx61500 add 0 0E-19 -> 0E-19
2465 addx61501 add -0 0E-19 -> 0E-19
2466 addx61502 add 0 -0E-19 -> 0E-19
2467 addx61503 add -0 -0E-19 -> -0E-19
2468 addx61504 add 0E-400 0E-19 -> 0E-398 Clamped
2469 addx61505 add -0E-400 0E-19 -> 0E-398 Clamped
2470 addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped
2471 addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped
2472 -- inexact zeros
2473 addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2474 addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2475 addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2476 addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2477 -- some exact zeros from non-zeros
2478 addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2479 addx61516 add -1E-401 1E-401 -> 0E-398 Clamped
2480 addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped
2481 addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2482
2483 rounding: half_down
2484 -- exact zeros from zeros
2485 addx61520 add 0 0E-19 -> 0E-19
2486 addx61521 add -0 0E-19 -> 0E-19
2487 addx61522 add 0 -0E-19 -> 0E-19
2488 addx61523 add -0 -0E-19 -> -0E-19
2489 addx61524 add 0E-400 0E-19 -> 0E-398 Clamped
2490 addx61525 add -0E-400 0E-19 -> 0E-398 Clamped
2491 addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped
2492 addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped
2493 -- inexact zeros
2494 addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2495 addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2496 addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2497 addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2498 -- some exact zeros from non-zeros
2499 addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2500 addx61536 add -1E-401 1E-401 -> 0E-398 Clamped
2501 addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped
2502 addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2503
2504 rounding: half_even
2505 -- exact zeros from zeros
2506 addx61540 add 0 0E-19 -> 0E-19
2507 addx61541 add -0 0E-19 -> 0E-19
2508 addx61542 add 0 -0E-19 -> 0E-19
2509 addx61543 add -0 -0E-19 -> -0E-19
2510 addx61544 add 0E-400 0E-19 -> 0E-398 Clamped
2511 addx61545 add -0E-400 0E-19 -> 0E-398 Clamped
2512 addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped
2513 addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped
2514 -- inexact zeros
2515 addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2516 addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2517 addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2518 addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2519 -- some exact zeros from non-zeros
2520 addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2521 addx61556 add -1E-401 1E-401 -> 0E-398 Clamped
2522 addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped
2523 addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2524
2525 rounding: up
2526 -- exact zeros from zeros
2527 addx61560 add 0 0E-19 -> 0E-19
2528 addx61561 add -0 0E-19 -> 0E-19
2529 addx61562 add 0 -0E-19 -> 0E-19
2530 addx61563 add -0 -0E-19 -> -0E-19
2531 addx61564 add 0E-400 0E-19 -> 0E-398 Clamped
2532 addx61565 add -0E-400 0E-19 -> 0E-398 Clamped
2533 addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped
2534 addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped
2535 -- inexact zeros
2536 addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2537 addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2538 addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2539 addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2540 -- some exact zeros from non-zeros
2541 addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2542 addx61576 add -1E-401 1E-401 -> 0E-398 Clamped
2543 addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped
2544 addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2545
2546 rounding: down
2547 -- exact zeros from zeros
2548 addx61580 add 0 0E-19 -> 0E-19
2549 addx61581 add -0 0E-19 -> 0E-19
2550 addx61582 add 0 -0E-19 -> 0E-19
2551 addx61583 add -0 -0E-19 -> -0E-19
2552 addx61584 add 0E-400 0E-19 -> 0E-398 Clamped
2553 addx61585 add -0E-400 0E-19 -> 0E-398 Clamped
2554 addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped
2555 addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped
2556 -- inexact zeros
2557 addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2558 addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2559 addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2560 addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2561 -- some exact zeros from non-zeros
2562 addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2563 addx61596 add -1E-401 1E-401 -> 0E-398 Clamped
2564 addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped
2565 addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2566
2567 rounding: ceiling
2568 -- exact zeros from zeros
2569 addx61600 add 0 0E-19 -> 0E-19
2570 addx61601 add -0 0E-19 -> 0E-19
2571 addx61602 add 0 -0E-19 -> 0E-19
2572 addx61603 add -0 -0E-19 -> -0E-19
2573 addx61604 add 0E-400 0E-19 -> 0E-398 Clamped
2574 addx61605 add -0E-400 0E-19 -> 0E-398 Clamped
2575 addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped
2576 addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped
2577 -- inexact zeros
2578 addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2579 addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2580 addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2581 addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2582 -- some exact zeros from non-zeros
2583 addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2584 addx61616 add -1E-401 1E-401 -> 0E-398 Clamped
2585 addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped
2586 addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2587
2588 -- and the extra-special ugly case; unusual minuses marked by -- *
2589 rounding: floor
2590 -- exact zeros from zeros
2591 addx61620 add 0 0E-19 -> 0E-19
2592 addx61621 add -0 0E-19 -> -0E-19 -- *
2593 addx61622 add 0 -0E-19 -> -0E-19 -- *
2594 addx61623 add -0 -0E-19 -> -0E-19
2595 addx61624 add 0E-400 0E-19 -> 0E-398 Clamped
2596 addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
2597 addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
2598 addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped
2599 -- inexact zeros
2600 addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2601 addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2602 addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2603 addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2604 -- some exact zeros from non-zeros
2605 addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2606 addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
2607 addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
2608 addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2609
2610 -- Examples from SQL proposal (Krishna Kulkarni)
2611 addx61701 add 130E-2 120E-2 -> 2.50
2612 addx61702 add 130E-2 12E-1 -> 2.50
2613 addx61703 add 130E-2 1E0 -> 2.30
2614 addx61704 add 1E2 1E4 -> 1.01E+4
2615 addx61705 subtract 130E-2 120E-2 -> 0.10
2616 addx61706 subtract 130E-2 12E-1 -> 0.10
2617 addx61707 subtract 130E-2 1E0 -> 0.30
2618 addx61708 subtract 1E2 1E4 -> -9.9E+3
2619
2620 -- Gappy coefficients; check residue handling even with full coefficient gap
2621 rounding: half_even
2622
2623 addx62001 add 1234567890123456 1 -> 1234567890123457
2624 addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
2625 addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
2626 addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
2627 addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
2628 addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
2629 addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
2630 addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
2631 addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
2632 addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
2633 addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
2634 addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
2635 addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
2636 addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
2637 addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
2638 addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
2639 addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
2640 addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
2641 addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
2642 addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
2643 addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
2644
2645 -- widening second argument at gap
2646 addx62030 add 12345678 1 -> 12345679
2647 addx62031 add 12345678 0.1 -> 12345678.1
2648 addx62032 add 12345678 0.12 -> 12345678.12
2649 addx62033 add 12345678 0.123 -> 12345678.123
2650 addx62034 add 12345678 0.1234 -> 12345678.1234
2651 addx62035 add 12345678 0.12345 -> 12345678.12345
2652 addx62036 add 12345678 0.123456 -> 12345678.123456
2653 addx62037 add 12345678 0.1234567 -> 12345678.1234567
2654 addx62038 add 12345678 0.12345678 -> 12345678.12345678
2655 addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
2656 addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
2657 addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
2658 addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
2659 addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
2660 addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
2661 addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
2662 addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
2663 addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
2664 addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
2665 addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
2666 -- 90123456
2667 rounding: half_even
2668 addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
2669 addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
2670 addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
2671 addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
2672 addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
2673 addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
2674 addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
2675 addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
2676 addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
2677 addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
2678 addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
2679 addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
2680 addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
2681 addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
2682 addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
2683 addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
2684 -- far-out residues (full coefficient gap is 16+15 digits)
2685 rounding: up
2686 addx62070 add 12345678 1E-8 -> 12345678.00000001
2687 addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
2688 addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
2689 addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
2690 addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
2691 addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
2692 addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
2693 addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
2694 addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
2695 addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
2696 addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
2697 addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
2698 addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
2699 addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
2700 addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
2701 addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
2702 addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
2703 addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
2704 addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
2705 addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
2706
2707 -- payload decapitate
2708 precision: 5
2709 addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation
2710 addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation
2711 addx62102 add 11 NaN123456789 -> NaN56789
2712 addx62103 add -11 -NaN123456789 -> -NaN56789
2713
2714 -- Null tests
2715 addx9990 add 10 # -> NaN Invalid_operation
2716 addx9991 add # 10 -> NaN Invalid_operation
EFI Development Kit II mirror for PVE