Initial commit of OpenSPARC T2 architecture model.
[OpenSPARC-T2-SAM] / sam-t2 / devtools / amd64 / lib / python2.4 / test / decimaltestdata / add.decTest
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1------------------------------------------------------------------------
2-- add.decTest -- decimal addition --
3-- Copyright (c) IBM Corporation, 1981, 2004. 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------------------------------------------------------------------------
20version: 2.39
21
22precision: 9
23rounding: half_up
24maxExponent: 384
25minexponent: -383
26extended: 1
27
28-- [first group are 'quick confidence check']
29addx001 add 1 1 -> 2
30addx002 add 2 3 -> 5
31addx003 add '5.75' '3.3' -> 9.05
32addx004 add '5' '-3' -> 2
33addx005 add '-5' '-3' -> -8
34addx006 add '-7' '2.5' -> -4.5
35addx007 add '0.7' '0.3' -> 1.0
36addx008 add '1.25' '1.25' -> 2.50
37addx009 add '1.23456789' '1.00000000' -> '2.23456789'
38addx010 add '1.23456789' '1.00000011' -> '2.23456800'
39
40addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
41addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
42addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
43addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded
44addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded
45addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
46addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
47addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
48addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded
49addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded
50
51addx021 add 0 1 -> 1
52addx022 add 1 1 -> 2
53addx023 add 2 1 -> 3
54addx024 add 3 1 -> 4
55addx025 add 4 1 -> 5
56addx026 add 5 1 -> 6
57addx027 add 6 1 -> 7
58addx028 add 7 1 -> 8
59addx029 add 8 1 -> 9
60addx030 add 9 1 -> 10
61
62-- some carrying effects
63addx031 add '0.9998' '0.0000' -> '0.9998'
64addx032 add '0.9998' '0.0001' -> '0.9999'
65addx033 add '0.9998' '0.0002' -> '1.0000'
66addx034 add '0.9998' '0.0003' -> '1.0001'
67
68addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
69addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
70addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
71addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
72addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded
73
74-- symmetry:
75addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
76addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
77addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
78addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
79addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded
80
81-- same, higher precision
82precision: 15
83addx046 add '10000e+9' '7' -> '10000000000007'
84addx047 add '10000e+9' '70' -> '10000000000070'
85addx048 add '10000e+9' '700' -> '10000000000700'
86addx049 add '10000e+9' '7000' -> '10000000007000'
87addx050 add '10000e+9' '70000' -> '10000000070000'
88addx051 add '10000e+9' '700000' -> '10000000700000'
89
90-- examples from decarith
91addx053 add '12' '7.00' -> '19.00'
92addx054 add '1.3' '-1.07' -> '0.23'
93addx055 add '1.3' '-1.30' -> '0.00'
94addx056 add '1.3' '-2.07' -> '-0.77'
95addx057 add '1E+2' '1E+4' -> '1.01E+4'
96
97-- zero preservation
98precision: 6
99addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
100addx061 add 1 '0.0001' -> '1.0001'
101addx062 add 1 '0.00001' -> '1.00001'
102addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded
103addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded
104addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded
105
106-- some funny zeros [in case of bad signum]
107addx070 add 1 0 -> 1
108addx071 add 1 0. -> 1
109addx072 add 1 .0 -> 1.0
110addx073 add 1 0.0 -> 1.0
111addx074 add 1 0.00 -> 1.00
112addx075 add 0 1 -> 1
113addx076 add 0. 1 -> 1
114addx077 add .0 1 -> 1.0
115addx078 add 0.0 1 -> 1.0
116addx079 add 0.00 1 -> 1.00
117
118precision: 9
119
120-- some carries
121addx080 add 999999998 1 -> 999999999
122addx081 add 999999999 1 -> 1.00000000E+9 Rounded
123addx082 add 99999999 1 -> 100000000
124addx083 add 9999999 1 -> 10000000
125addx084 add 999999 1 -> 1000000
126addx085 add 99999 1 -> 100000
127addx086 add 9999 1 -> 10000
128addx087 add 999 1 -> 1000
129addx088 add 99 1 -> 100
130addx089 add 9 1 -> 10
131
132
133-- more LHS swaps
134addx090 add '-56267E-10' 0 -> '-0.0000056267'
135addx091 add '-56267E-6' 0 -> '-0.056267'
136addx092 add '-56267E-5' 0 -> '-0.56267'
137addx093 add '-56267E-4' 0 -> '-5.6267'
138addx094 add '-56267E-3' 0 -> '-56.267'
139addx095 add '-56267E-2' 0 -> '-562.67'
140addx096 add '-56267E-1' 0 -> '-5626.7'
141addx097 add '-56267E-0' 0 -> '-56267'
142addx098 add '-5E-10' 0 -> '-5E-10'
143addx099 add '-5E-7' 0 -> '-5E-7'
144addx100 add '-5E-6' 0 -> '-0.000005'
145addx101 add '-5E-5' 0 -> '-0.00005'
146addx102 add '-5E-4' 0 -> '-0.0005'
147addx103 add '-5E-1' 0 -> '-0.5'
148addx104 add '-5E0' 0 -> '-5'
149addx105 add '-5E1' 0 -> '-50'
150addx106 add '-5E5' 0 -> '-500000'
151addx107 add '-5E8' 0 -> '-500000000'
152addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded
153addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded
154addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded
155addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded
156
157-- more RHS swaps
158addx113 add 0 '-56267E-10' -> '-0.0000056267'
159addx114 add 0 '-56267E-6' -> '-0.056267'
160addx116 add 0 '-56267E-5' -> '-0.56267'
161addx117 add 0 '-56267E-4' -> '-5.6267'
162addx119 add 0 '-56267E-3' -> '-56.267'
163addx120 add 0 '-56267E-2' -> '-562.67'
164addx121 add 0 '-56267E-1' -> '-5626.7'
165addx122 add 0 '-56267E-0' -> '-56267'
166addx123 add 0 '-5E-10' -> '-5E-10'
167addx124 add 0 '-5E-7' -> '-5E-7'
168addx125 add 0 '-5E-6' -> '-0.000005'
169addx126 add 0 '-5E-5' -> '-0.00005'
170addx127 add 0 '-5E-4' -> '-0.0005'
171addx128 add 0 '-5E-1' -> '-0.5'
172addx129 add 0 '-5E0' -> '-5'
173addx130 add 0 '-5E1' -> '-50'
174addx131 add 0 '-5E5' -> '-500000'
175addx132 add 0 '-5E8' -> '-500000000'
176addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded
177addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded
178addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded
179addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded
180
181-- related
182addx137 add 1 '0E-12' -> '1.00000000' Rounded
183addx138 add -1 '0E-12' -> '-1.00000000' Rounded
184addx139 add '0E-12' 1 -> '1.00000000' Rounded
185addx140 add '0E-12' -1 -> '-1.00000000' Rounded
186addx141 add 1E+4 0.0000 -> '10000.0000'
187addx142 add 1E+4 0.00000 -> '10000.0000' Rounded
188addx143 add 0.000 1E+5 -> '100000.000'
189addx144 add 0.0000 1E+5 -> '100000.000' Rounded
190
191-- [some of the next group are really constructor tests]
192addx146 add '00.0' 0 -> '0.0'
193addx147 add '0.00' 0 -> '0.00'
194addx148 add 0 '0.00' -> '0.00'
195addx149 add 0 '00.0' -> '0.0'
196addx150 add '00.0' '0.00' -> '0.00'
197addx151 add '0.00' '00.0' -> '0.00'
198addx152 add '3' '.3' -> '3.3'
199addx153 add '3.' '.3' -> '3.3'
200addx154 add '3.0' '.3' -> '3.3'
201addx155 add '3.00' '.3' -> '3.30'
202addx156 add '3' '3' -> '6'
203addx157 add '3' '+3' -> '6'
204addx158 add '3' '-3' -> '0'
205addx159 add '0.3' '-0.3' -> '0.0'
206addx160 add '0.03' '-0.03' -> '0.00'
207
208-- try borderline precision, with carries, etc.
209precision: 15
210addx161 add '1E+12' '-1' -> '999999999999'
211addx162 add '1E+12' '1.11' -> '1000000000001.11'
212addx163 add '1.11' '1E+12' -> '1000000000001.11'
213addx164 add '-1' '1E+12' -> '999999999999'
214addx165 add '7E+12' '-1' -> '6999999999999'
215addx166 add '7E+12' '1.11' -> '7000000000001.11'
216addx167 add '1.11' '7E+12' -> '7000000000001.11'
217addx168 add '-1' '7E+12' -> '6999999999999'
218
219-- 123456789012345 123456789012345 1 23456789012345
220addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
221addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
222addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
223addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
224addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
225addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
226addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
227addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
228addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
229addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
230addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
231addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
232addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
233addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
234
235-- and some more, including residue effects and different roundings
236precision: 9
237rounding: half_up
238addx200 add '123456789' 0 -> '123456789'
239addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
240addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded
241addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded
242addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded
243addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded
244addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded
245addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
246addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded
247addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
248addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded
249addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded
250addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded
251addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded
252addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded
253addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
254addx216 add '123456789' 1 -> '123456790'
255addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded
256addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded
257addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded
258
259rounding: half_even
260addx220 add '123456789' 0 -> '123456789'
261addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
262addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded
263addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded
264addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded
265addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded
266addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded
267addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
268addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded
269addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
270addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded
271addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded
272addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded
273addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded
274addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded
275addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
276addx236 add '123456789' 1 -> '123456790'
277addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
278addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded
279addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded
280-- critical few with even bottom digit...
281addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded
282addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded
283addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded
284
285rounding: down
286addx250 add '123456789' 0 -> '123456789'
287addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
288addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded
289addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded
290addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded
291addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded
292addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded
293addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
294addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded
295addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded
296addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded
297addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded
298addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded
299addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded
300addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded
301addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded
302addx266 add '123456789' 1 -> '123456790'
303addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
304addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded
305addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded
306
307-- input preparation tests (operands should not be rounded)
308precision: 3
309rounding: half_up
310
311addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
312addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
313
314addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded
315addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded
316addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
317addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
318addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
319addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded
320addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded
321
322addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
323addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
324addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
325addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
326addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
327addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
328addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
329
330rounding: half_down
331addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
332addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
333addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
334addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
335addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
336addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
337addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
338
339-- 1 in last place tests
340rounding: half_up
341addx301 add -1 1 -> 0
342addx302 add 0 1 -> 1
343addx303 add 1 1 -> 2
344addx304 add 12 1 -> 13
345addx305 add 98 1 -> 99
346addx306 add 99 1 -> 100
347addx307 add 100 1 -> 101
348addx308 add 101 1 -> 102
349addx309 add -1 -1 -> -2
350addx310 add 0 -1 -> -1
351addx311 add 1 -1 -> 0
352addx312 add 12 -1 -> 11
353addx313 add 98 -1 -> 97
354addx314 add 99 -1 -> 98
355addx315 add 100 -1 -> 99
356addx316 add 101 -1 -> 100
357
358addx321 add -0.01 0.01 -> 0.00
359addx322 add 0.00 0.01 -> 0.01
360addx323 add 0.01 0.01 -> 0.02
361addx324 add 0.12 0.01 -> 0.13
362addx325 add 0.98 0.01 -> 0.99
363addx326 add 0.99 0.01 -> 1.00
364addx327 add 1.00 0.01 -> 1.01
365addx328 add 1.01 0.01 -> 1.02
366addx329 add -0.01 -0.01 -> -0.02
367addx330 add 0.00 -0.01 -> -0.01
368addx331 add 0.01 -0.01 -> 0.00
369addx332 add 0.12 -0.01 -> 0.11
370addx333 add 0.98 -0.01 -> 0.97
371addx334 add 0.99 -0.01 -> 0.98
372addx335 add 1.00 -0.01 -> 0.99
373addx336 add 1.01 -0.01 -> 1.00
374
375-- some more cases where adding 0 affects the coefficient
376precision: 9
377addx340 add 1E+3 0 -> 1000
378addx341 add 1E+8 0 -> 100000000
379addx342 add 1E+9 0 -> 1.00000000E+9 Rounded
380addx343 add 1E+10 0 -> 1.00000000E+10 Rounded
381-- which simply follow from these cases ...
382addx344 add 1E+3 1 -> 1001
383addx345 add 1E+8 1 -> 100000001
384addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded
385addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded
386addx348 add 1E+3 7 -> 1007
387addx349 add 1E+8 7 -> 100000007
388addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded
389addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded
390
391-- tryzeros cases
392precision: 7
393rounding: half_up
394maxExponent: 92
395minexponent: -92
396addx361 add 0E+50 10000E+1 -> 1.0000E+5
397addx362 add 10000E+1 0E-50 -> 100000.0 Rounded
398addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
399
400-- a curiosity from JSR 13 testing
401rounding: half_down
402precision: 10
403addx370 add 99999999 81512 -> 100081511
404precision: 6
405addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
406rounding: half_up
407precision: 10
408addx372 add 99999999 81512 -> 100081511
409precision: 6
410addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
411rounding: half_even
412precision: 10
413addx374 add 99999999 81512 -> 100081511
414precision: 6
415addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
416
417-- ulp replacement tests
418precision: 9
419maxexponent: 999999999
420minexponent: -999999999
421addx400 add 1 77e-7 -> 1.0000077
422addx401 add 1 77e-8 -> 1.00000077
423addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded
424addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded
425addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded
426addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded
427addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded
428addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded
429
430addx410 add 10 77e-7 -> 10.0000077
431addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded
432addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded
433addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded
434addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded
435addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded
436addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded
437addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded
438
439addx420 add 77e-7 1 -> 1.0000077
440addx421 add 77e-8 1 -> 1.00000077
441addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded
442addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded
443addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded
444addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded
445addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded
446addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded
447
448addx430 add 77e-7 10 -> 10.0000077
449addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded
450addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded
451addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded
452addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded
453addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded
454addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded
455addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded
456
457-- negative ulps
458addx440 add 1 -77e-7 -> 0.9999923
459addx441 add 1 -77e-8 -> 0.99999923
460addx442 add 1 -77e-9 -> 0.999999923
461addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded
462addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded
463addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded
464addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded
465addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded
466
467addx450 add 10 -77e-7 -> 9.9999923
468addx451 add 10 -77e-8 -> 9.99999923
469addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded
470addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded
471addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded
472addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded
473addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded
474addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded
475
476addx460 add -77e-7 1 -> 0.9999923
477addx461 add -77e-8 1 -> 0.99999923
478addx462 add -77e-9 1 -> 0.999999923
479addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded
480addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded
481addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded
482addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded
483addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded
484
485addx470 add -77e-7 10 -> 9.9999923
486addx471 add -77e-8 10 -> 9.99999923
487addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded
488addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded
489addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded
490addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded
491addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded
492addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded
493
494-- negative ulps
495addx480 add -1 77e-7 -> -0.9999923
496addx481 add -1 77e-8 -> -0.99999923
497addx482 add -1 77e-9 -> -0.999999923
498addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded
499addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded
500addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded
501addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded
502addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded
503
504addx490 add -10 77e-7 -> -9.9999923
505addx491 add -10 77e-8 -> -9.99999923
506addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded
507addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded
508addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded
509addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded
510addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded
511addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded
512
513addx500 add 77e-7 -1 -> -0.9999923
514addx501 add 77e-8 -1 -> -0.99999923
515addx502 add 77e-9 -1 -> -0.999999923
516addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded
517addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded
518addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded
519addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded
520addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded
521
522addx510 add 77e-7 -10 -> -9.9999923
523addx511 add 77e-8 -10 -> -9.99999923
524addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded
525addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded
526addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded
527addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded
528addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded
529addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded
530
531
532-- long operands
533maxexponent: 999
534minexponent: -999
535precision: 9
536addx521 add 12345678000 0 -> 1.23456780E+10 Rounded
537addx522 add 0 12345678000 -> 1.23456780E+10 Rounded
538addx523 add 1234567800 0 -> 1.23456780E+9 Rounded
539addx524 add 0 1234567800 -> 1.23456780E+9 Rounded
540addx525 add 1234567890 0 -> 1.23456789E+9 Rounded
541addx526 add 0 1234567890 -> 1.23456789E+9 Rounded
542addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded
543addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded
544addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded
545addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded
546addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded
547addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded
548
549precision: 15
550-- still checking
551addx541 add 12345678000 0 -> 12345678000
552addx542 add 0 12345678000 -> 12345678000
553addx543 add 1234567800 0 -> 1234567800
554addx544 add 0 1234567800 -> 1234567800
555addx545 add 1234567890 0 -> 1234567890
556addx546 add 0 1234567890 -> 1234567890
557addx547 add 1234567891 0 -> 1234567891
558addx548 add 0 1234567891 -> 1234567891
559addx549 add 12345678901 0 -> 12345678901
560addx550 add 0 12345678901 -> 12345678901
561addx551 add 1234567896 0 -> 1234567896
562addx552 add 0 1234567896 -> 1234567896
563
564-- verify a query
565precision: 16
566maxExponent: +394
567minExponent: -393
568rounding: down
569addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
570addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
571-- and using decimal64 bounds...
572precision: 16
573maxExponent: +384
574minExponent: -383
575rounding: down
576addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
577addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
578
579-- some more residue effects with extreme rounding
580precision: 9
581rounding: half_up
582addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded
583rounding: half_even
584addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded
585rounding: half_down
586addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded
587rounding: floor
588addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded
589rounding: ceiling
590addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded
591rounding: up
592addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded
593rounding: down
594addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded
595
596rounding: half_up
597addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded
598rounding: half_even
599addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded
600rounding: half_down
601addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded
602rounding: floor
603addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded
604rounding: ceiling
605addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded
606rounding: up
607addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded
608rounding: down
609addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded
610
611rounding: half_up
612addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded
613rounding: half_even
614addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded
615rounding: half_down
616addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded
617rounding: floor
618addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded
619rounding: ceiling
620addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded
621rounding: up
622addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded
623rounding: down
624addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded
625
626rounding: half_up
627addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded
628rounding: half_even
629addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded
630rounding: half_down
631addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded
632rounding: floor
633addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded
634rounding: ceiling
635addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded
636rounding: up
637addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded
638rounding: down
639addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded
640
641rounding: half_up
642addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded
643rounding: half_even
644addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded
645rounding: half_down
646addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded
647rounding: floor
648addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded
649rounding: ceiling
650addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded
651rounding: up
652addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded
653rounding: down
654addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded
655
656rounding: half_up
657addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded
658rounding: half_even
659addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded
660rounding: half_down
661addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded
662rounding: floor
663addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded
664rounding: ceiling
665addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded
666rounding: up
667addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded
668rounding: down
669addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded
670
671-- long operand triangle
672rounding: half_up
673precision: 37
674addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
675precision: 36
676addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
677precision: 35
678addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
679precision: 34
680addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
681precision: 33
682addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
683precision: 32
684addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
685precision: 31
686addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
687precision: 30
688addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
689precision: 29
690addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
691precision: 28
692addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
693precision: 27
694addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
695precision: 26
696addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
697precision: 25
698addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
699precision: 24
700addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
701precision: 23
702addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
703precision: 22
704addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
705precision: 21
706addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
707precision: 20
708addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
709precision: 19
710addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
711precision: 18
712addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
713precision: 17
714addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
715precision: 16
716addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
717precision: 15
718addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
719precision: 14
720addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
721precision: 13
722addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
723precision: 12
724addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
725precision: 11
726addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
727precision: 10
728addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
729precision: 9
730addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
731precision: 8
732addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
733precision: 7
734addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
735precision: 6
736addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
737precision: 5
738addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
739precision: 4
740addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
741precision: 3
742addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
743precision: 2
744addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
745precision: 1
746addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
747
748-- more zeros, etc.
749rounding: half_up
750precision: 9
751
752addx701 add 5.00 1.00E-3 -> 5.00100
753addx702 add 00.00 0.000 -> 0.000
754addx703 add 00.00 0E-3 -> 0.000
755addx704 add 0E-3 00.00 -> 0.000
756
757addx710 add 0E+3 00.00 -> 0.00
758addx711 add 0E+3 00.0 -> 0.0
759addx712 add 0E+3 00. -> 0
760addx713 add 0E+3 00.E+1 -> 0E+1
761addx714 add 0E+3 00.E+2 -> 0E+2
762addx715 add 0E+3 00.E+3 -> 0E+3
763addx716 add 0E+3 00.E+4 -> 0E+3
764addx717 add 0E+3 00.E+5 -> 0E+3
765addx718 add 0E+3 -00.0 -> 0.0
766addx719 add 0E+3 -00. -> 0
767addx731 add 0E+3 -00.E+1 -> 0E+1
768
769addx720 add 00.00 0E+3 -> 0.00
770addx721 add 00.0 0E+3 -> 0.0
771addx722 add 00. 0E+3 -> 0
772addx723 add 00.E+1 0E+3 -> 0E+1
773addx724 add 00.E+2 0E+3 -> 0E+2
774addx725 add 00.E+3 0E+3 -> 0E+3
775addx726 add 00.E+4 0E+3 -> 0E+3
776addx727 add 00.E+5 0E+3 -> 0E+3
777addx728 add -00.00 0E+3 -> 0.00
778addx729 add -00.0 0E+3 -> 0.0
779addx730 add -00. 0E+3 -> 0
780
781addx732 add 0 0 -> 0
782addx733 add 0 -0 -> 0
783addx734 add -0 0 -> 0
784addx735 add -0 -0 -> -0 -- IEEE 854 special case
785
786addx736 add 1 -1 -> 0
787addx737 add -1 -1 -> -2
788addx738 add 1 1 -> 2
789addx739 add -1 1 -> 0
790
791addx741 add 0 -1 -> -1
792addx742 add -0 -1 -> -1
793addx743 add 0 1 -> 1
794addx744 add -0 1 -> 1
795addx745 add -1 0 -> -1
796addx746 add -1 -0 -> -1
797addx747 add 1 0 -> 1
798addx748 add 1 -0 -> 1
799
800addx751 add 0.0 -1 -> -1.0
801addx752 add -0.0 -1 -> -1.0
802addx753 add 0.0 1 -> 1.0
803addx754 add -0.0 1 -> 1.0
804addx755 add -1.0 0 -> -1.0
805addx756 add -1.0 -0 -> -1.0
806addx757 add 1.0 0 -> 1.0
807addx758 add 1.0 -0 -> 1.0
808
809addx761 add 0 -1.0 -> -1.0
810addx762 add -0 -1.0 -> -1.0
811addx763 add 0 1.0 -> 1.0
812addx764 add -0 1.0 -> 1.0
813addx765 add -1 0.0 -> -1.0
814addx766 add -1 -0.0 -> -1.0
815addx767 add 1 0.0 -> 1.0
816addx768 add 1 -0.0 -> 1.0
817
818addx771 add 0.0 -1.0 -> -1.0
819addx772 add -0.0 -1.0 -> -1.0
820addx773 add 0.0 1.0 -> 1.0
821addx774 add -0.0 1.0 -> 1.0
822addx775 add -1.0 0.0 -> -1.0
823addx776 add -1.0 -0.0 -> -1.0
824addx777 add 1.0 0.0 -> 1.0
825addx778 add 1.0 -0.0 -> 1.0
826
827-- Specials
828addx780 add -Inf -Inf -> -Infinity
829addx781 add -Inf -1000 -> -Infinity
830addx782 add -Inf -1 -> -Infinity
831addx783 add -Inf -0 -> -Infinity
832addx784 add -Inf 0 -> -Infinity
833addx785 add -Inf 1 -> -Infinity
834addx786 add -Inf 1000 -> -Infinity
835addx787 add -1000 -Inf -> -Infinity
836addx788 add -Inf -Inf -> -Infinity
837addx789 add -1 -Inf -> -Infinity
838addx790 add -0 -Inf -> -Infinity
839addx791 add 0 -Inf -> -Infinity
840addx792 add 1 -Inf -> -Infinity
841addx793 add 1000 -Inf -> -Infinity
842addx794 add Inf -Inf -> NaN Invalid_operation
843
844addx800 add Inf -Inf -> NaN Invalid_operation
845addx801 add Inf -1000 -> Infinity
846addx802 add Inf -1 -> Infinity
847addx803 add Inf -0 -> Infinity
848addx804 add Inf 0 -> Infinity
849addx805 add Inf 1 -> Infinity
850addx806 add Inf 1000 -> Infinity
851addx807 add Inf Inf -> Infinity
852addx808 add -1000 Inf -> Infinity
853addx809 add -Inf Inf -> NaN Invalid_operation
854addx810 add -1 Inf -> Infinity
855addx811 add -0 Inf -> Infinity
856addx812 add 0 Inf -> Infinity
857addx813 add 1 Inf -> Infinity
858addx814 add 1000 Inf -> Infinity
859addx815 add Inf Inf -> Infinity
860
861addx821 add NaN -Inf -> NaN
862addx822 add NaN -1000 -> NaN
863addx823 add NaN -1 -> NaN
864addx824 add NaN -0 -> NaN
865addx825 add NaN 0 -> NaN
866addx826 add NaN 1 -> NaN
867addx827 add NaN 1000 -> NaN
868addx828 add NaN Inf -> NaN
869addx829 add NaN NaN -> NaN
870addx830 add -Inf NaN -> NaN
871addx831 add -1000 NaN -> NaN
872addx832 add -1 NaN -> NaN
873addx833 add -0 NaN -> NaN
874addx834 add 0 NaN -> NaN
875addx835 add 1 NaN -> NaN
876addx836 add 1000 NaN -> NaN
877addx837 add Inf NaN -> NaN
878
879addx841 add sNaN -Inf -> NaN Invalid_operation
880addx842 add sNaN -1000 -> NaN Invalid_operation
881addx843 add sNaN -1 -> NaN Invalid_operation
882addx844 add sNaN -0 -> NaN Invalid_operation
883addx845 add sNaN 0 -> NaN Invalid_operation
884addx846 add sNaN 1 -> NaN Invalid_operation
885addx847 add sNaN 1000 -> NaN Invalid_operation
886addx848 add sNaN NaN -> NaN Invalid_operation
887addx849 add sNaN sNaN -> NaN Invalid_operation
888addx850 add NaN sNaN -> NaN Invalid_operation
889addx851 add -Inf sNaN -> NaN Invalid_operation
890addx852 add -1000 sNaN -> NaN Invalid_operation
891addx853 add -1 sNaN -> NaN Invalid_operation
892addx854 add -0 sNaN -> NaN Invalid_operation
893addx855 add 0 sNaN -> NaN Invalid_operation
894addx856 add 1 sNaN -> NaN Invalid_operation
895addx857 add 1000 sNaN -> NaN Invalid_operation
896addx858 add Inf sNaN -> NaN Invalid_operation
897addx859 add NaN sNaN -> NaN Invalid_operation
898
899-- propagating NaNs
900addx861 add NaN1 -Inf -> NaN1
901addx862 add +NaN2 -1000 -> NaN2
902addx863 add NaN3 1000 -> NaN3
903addx864 add NaN4 Inf -> NaN4
904addx865 add NaN5 +NaN6 -> NaN5
905addx866 add -Inf NaN7 -> NaN7
906addx867 add -1000 NaN8 -> NaN8
907addx868 add 1000 NaN9 -> NaN9
908addx869 add Inf +NaN10 -> NaN10
909addx871 add sNaN11 -Inf -> NaN11 Invalid_operation
910addx872 add sNaN12 -1000 -> NaN12 Invalid_operation
911addx873 add sNaN13 1000 -> NaN13 Invalid_operation
912addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation
913addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
914addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation
915addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation
916addx878 add -1000 sNaN21 -> NaN21 Invalid_operation
917addx879 add 1000 sNaN22 -> NaN22 Invalid_operation
918addx880 add Inf sNaN23 -> NaN23 Invalid_operation
919addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
920addx882 add -NaN26 NaN28 -> -NaN26
921addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
922addx884 add 1000 -NaN30 -> -NaN30
923addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
924
925-- overflow, underflow and subnormal tests
926maxexponent: 999999999
927minexponent: -999999999
928precision: 9
929addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded
930addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded
931addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal
932addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal
933addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal
934addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal
935addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded
936addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded
937addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal
938addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal
939addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal
940addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal
941addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999
942addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999
943
944precision: 3
945addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
946addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
947addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded
948addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
949
950precision: 3
951maxexponent: 999
952minexponent: -999
953addx910 add 1.00E-999 0 -> 1.00E-999
954addx911 add 0.1E-999 0 -> 1E-1000 Subnormal
955addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal
956addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
957addx914 add 0.01E-999 0 -> 1E-1001 Subnormal
958-- next is rounded to Emin
959addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
960addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
961addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
962addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
963addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
964addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
965
966addx930 add -1.00E-999 0 -> -1.00E-999
967addx931 add -0.1E-999 0 -> -1E-1000 Subnormal
968addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal
969addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
970addx934 add -0.01E-999 0 -> -1E-1001 Subnormal
971-- next is rounded to Emin
972addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
973addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
974addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
975addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
976addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
977addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
978
979-- some non-zero subnormal adds
980addx950 add 1.00E-999 0.1E-999 -> 1.10E-999
981addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
982addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
983addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
984addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
985addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
986addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
987addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
988addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
989addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
990addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
991-- negatives...
992addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
993addx962 add 0.1E-999 -0.1E-999 -> 0E-1000
994addx963 add 0.10E-999 -0.1E-999 -> 0E-1001
995addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
996addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
997addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
998addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow
999addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
1000addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1001addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1002addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1003
1004-- check overflow edge case
1005precision: 7
1006rounding: half_up
1007maxExponent: 96
1008minExponent: -95
1009addx972 apply 9.999999E+96 -> 9.999999E+96
1010addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded
1011addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded
1012addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded
1013addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded
1014addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded
1015addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded
1016addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded
1017addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded
1018addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded
1019addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded
1020addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded
1021addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded
1022
1023addx985 apply -9.999999E+96 -> -9.999999E+96
1024addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded
1025addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded
1026addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded
1027addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded
1028addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded
1029addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded
1030addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded
1031addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded
1032addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded
1033addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded
1034addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded
1035addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded
1036
1037-- check for double-rounded subnormals
1038precision: 5
1039maxexponent: 79
1040minexponent: -79
1041-- Add: lhs and rhs 0
1042addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1043addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1044addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1045addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1046addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1047addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1048
1049-- Add: lhs >> rhs and vice versa
1050addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1051addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1052addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1053addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1054addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1055addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1056
1057-- Add: lhs + rhs addition carried out
1058addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1059addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1060addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1061addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1062addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1063addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1064
1065-- And for round down full and subnormal results
1066precision: 16
1067maxExponent: +384
1068minExponent: -383
1069rounding: down
1070
1071addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
1072addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
1073addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
1074addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
1075addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
1076addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
1077addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
1078addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
1079addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
1080
1081rounding: ceiling
1082addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
1083addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
1084addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
1085addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
1086addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
1087addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
1088addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
1089addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
1090addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
1091
1092rounding: down
1093precision: 7
1094maxExponent: +96
1095minExponent: -95
1096addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact
1097-- subnormal boundary
1098addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
1099addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
1100addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
1101addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
1102addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
1103addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
1104addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
1105addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
1106addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1107addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1108addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1109addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
1110addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow
1111addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
1112
1113addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1114addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1115addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1116addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
1117addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
1118addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow
1119addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
1120
1121addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow
1122addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow
1123
1124
1125-- Null tests
1126addx9990 add 10 # -> NaN Invalid_operation
1127addx9991 add # 10 -> NaN Invalid_operation