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Facundo Batista353750c2007-09-13 18:13:15 +00001------/cancell----------------------------------------------------------
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00002-- add.decTest -- decimal addition --
Facundo Batista353750c2007-09-13 18:13:15 +00003-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. --
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00004------------------------------------------------------------------------
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------------------------------------------------------------------------
Facundo Batista353750c2007-09-13 18:13:15 +000020version: 2.56
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000021
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'
Facundo Batista353750c2007-09-13 18:13:15 +000089addx052 add '10000e+9' '7000000' -> '10000007000000'
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000090
91-- examples from decarith
92addx053 add '12' '7.00' -> '19.00'
93addx054 add '1.3' '-1.07' -> '0.23'
94addx055 add '1.3' '-1.30' -> '0.00'
95addx056 add '1.3' '-2.07' -> '-0.77'
96addx057 add '1E+2' '1E+4' -> '1.01E+4'
97
98-- zero preservation
99precision: 6
100addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
101addx061 add 1 '0.0001' -> '1.0001'
102addx062 add 1 '0.00001' -> '1.00001'
103addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded
104addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded
105addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded
106
107-- some funny zeros [in case of bad signum]
108addx070 add 1 0 -> 1
109addx071 add 1 0. -> 1
110addx072 add 1 .0 -> 1.0
111addx073 add 1 0.0 -> 1.0
112addx074 add 1 0.00 -> 1.00
113addx075 add 0 1 -> 1
114addx076 add 0. 1 -> 1
115addx077 add .0 1 -> 1.0
116addx078 add 0.0 1 -> 1.0
117addx079 add 0.00 1 -> 1.00
118
119precision: 9
120
121-- some carries
122addx080 add 999999998 1 -> 999999999
123addx081 add 999999999 1 -> 1.00000000E+9 Rounded
124addx082 add 99999999 1 -> 100000000
125addx083 add 9999999 1 -> 10000000
126addx084 add 999999 1 -> 1000000
127addx085 add 99999 1 -> 100000
128addx086 add 9999 1 -> 10000
129addx087 add 999 1 -> 1000
130addx088 add 99 1 -> 100
131addx089 add 9 1 -> 10
132
133
134-- more LHS swaps
135addx090 add '-56267E-10' 0 -> '-0.0000056267'
136addx091 add '-56267E-6' 0 -> '-0.056267'
137addx092 add '-56267E-5' 0 -> '-0.56267'
138addx093 add '-56267E-4' 0 -> '-5.6267'
139addx094 add '-56267E-3' 0 -> '-56.267'
140addx095 add '-56267E-2' 0 -> '-562.67'
141addx096 add '-56267E-1' 0 -> '-5626.7'
142addx097 add '-56267E-0' 0 -> '-56267'
143addx098 add '-5E-10' 0 -> '-5E-10'
144addx099 add '-5E-7' 0 -> '-5E-7'
145addx100 add '-5E-6' 0 -> '-0.000005'
146addx101 add '-5E-5' 0 -> '-0.00005'
147addx102 add '-5E-4' 0 -> '-0.0005'
148addx103 add '-5E-1' 0 -> '-0.5'
149addx104 add '-5E0' 0 -> '-5'
150addx105 add '-5E1' 0 -> '-50'
151addx106 add '-5E5' 0 -> '-500000'
152addx107 add '-5E8' 0 -> '-500000000'
153addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded
154addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded
155addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded
156addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded
157
158-- more RHS swaps
159addx113 add 0 '-56267E-10' -> '-0.0000056267'
160addx114 add 0 '-56267E-6' -> '-0.056267'
161addx116 add 0 '-56267E-5' -> '-0.56267'
162addx117 add 0 '-56267E-4' -> '-5.6267'
163addx119 add 0 '-56267E-3' -> '-56.267'
164addx120 add 0 '-56267E-2' -> '-562.67'
165addx121 add 0 '-56267E-1' -> '-5626.7'
166addx122 add 0 '-56267E-0' -> '-56267'
167addx123 add 0 '-5E-10' -> '-5E-10'
168addx124 add 0 '-5E-7' -> '-5E-7'
169addx125 add 0 '-5E-6' -> '-0.000005'
170addx126 add 0 '-5E-5' -> '-0.00005'
171addx127 add 0 '-5E-4' -> '-0.0005'
172addx128 add 0 '-5E-1' -> '-0.5'
173addx129 add 0 '-5E0' -> '-5'
174addx130 add 0 '-5E1' -> '-50'
175addx131 add 0 '-5E5' -> '-500000'
176addx132 add 0 '-5E8' -> '-500000000'
177addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded
178addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded
179addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded
180addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded
181
182-- related
183addx137 add 1 '0E-12' -> '1.00000000' Rounded
184addx138 add -1 '0E-12' -> '-1.00000000' Rounded
185addx139 add '0E-12' 1 -> '1.00000000' Rounded
186addx140 add '0E-12' -1 -> '-1.00000000' Rounded
187addx141 add 1E+4 0.0000 -> '10000.0000'
188addx142 add 1E+4 0.00000 -> '10000.0000' Rounded
189addx143 add 0.000 1E+5 -> '100000.000'
190addx144 add 0.0000 1E+5 -> '100000.000' Rounded
191
192-- [some of the next group are really constructor tests]
193addx146 add '00.0' 0 -> '0.0'
194addx147 add '0.00' 0 -> '0.00'
195addx148 add 0 '0.00' -> '0.00'
196addx149 add 0 '00.0' -> '0.0'
197addx150 add '00.0' '0.00' -> '0.00'
198addx151 add '0.00' '00.0' -> '0.00'
199addx152 add '3' '.3' -> '3.3'
200addx153 add '3.' '.3' -> '3.3'
201addx154 add '3.0' '.3' -> '3.3'
202addx155 add '3.00' '.3' -> '3.30'
203addx156 add '3' '3' -> '6'
204addx157 add '3' '+3' -> '6'
205addx158 add '3' '-3' -> '0'
206addx159 add '0.3' '-0.3' -> '0.0'
207addx160 add '0.03' '-0.03' -> '0.00'
208
209-- try borderline precision, with carries, etc.
210precision: 15
211addx161 add '1E+12' '-1' -> '999999999999'
212addx162 add '1E+12' '1.11' -> '1000000000001.11'
213addx163 add '1.11' '1E+12' -> '1000000000001.11'
214addx164 add '-1' '1E+12' -> '999999999999'
215addx165 add '7E+12' '-1' -> '6999999999999'
216addx166 add '7E+12' '1.11' -> '7000000000001.11'
217addx167 add '1.11' '7E+12' -> '7000000000001.11'
218addx168 add '-1' '7E+12' -> '6999999999999'
219
Facundo Batista353750c2007-09-13 18:13:15 +0000220-- 123456789012345 123456789012345 1 23456789012345
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000221addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
222addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
223addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
224addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
225addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
226addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
227addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
228addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
229addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
230addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
231addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
232addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
233addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
234addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
235
236-- and some more, including residue effects and different roundings
237precision: 9
238rounding: half_up
239addx200 add '123456789' 0 -> '123456789'
240addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
241addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded
242addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded
243addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded
244addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded
245addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded
246addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
247addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded
248addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
249addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded
250addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded
251addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded
252addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded
253addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded
254addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
255addx216 add '123456789' 1 -> '123456790'
256addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded
257addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded
258addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded
259
260rounding: half_even
261addx220 add '123456789' 0 -> '123456789'
262addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
263addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded
264addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded
265addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded
266addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded
267addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded
268addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
269addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded
270addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
271addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded
272addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded
273addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded
274addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded
275addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded
276addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
277addx236 add '123456789' 1 -> '123456790'
278addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
279addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded
280addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded
281-- critical few with even bottom digit...
282addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded
283addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded
284addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded
285
286rounding: down
287addx250 add '123456789' 0 -> '123456789'
288addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
289addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded
290addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded
291addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded
292addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded
293addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded
294addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
295addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded
296addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded
297addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded
298addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded
299addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded
300addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded
301addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded
302addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded
303addx266 add '123456789' 1 -> '123456790'
304addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
305addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded
306addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded
307
308-- input preparation tests (operands should not be rounded)
309precision: 3
310rounding: half_up
311
312addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
313addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
314
315addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded
316addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded
317addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
318addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
319addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
320addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded
321addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded
322
323addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
324addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
325addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
326addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
327addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
328addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
329addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
330
331rounding: half_down
332addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
333addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
334addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
335addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
336addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
337addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
338addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
339
340-- 1 in last place tests
341rounding: half_up
342addx301 add -1 1 -> 0
343addx302 add 0 1 -> 1
344addx303 add 1 1 -> 2
345addx304 add 12 1 -> 13
346addx305 add 98 1 -> 99
347addx306 add 99 1 -> 100
348addx307 add 100 1 -> 101
349addx308 add 101 1 -> 102
350addx309 add -1 -1 -> -2
351addx310 add 0 -1 -> -1
352addx311 add 1 -1 -> 0
353addx312 add 12 -1 -> 11
354addx313 add 98 -1 -> 97
355addx314 add 99 -1 -> 98
356addx315 add 100 -1 -> 99
357addx316 add 101 -1 -> 100
358
359addx321 add -0.01 0.01 -> 0.00
360addx322 add 0.00 0.01 -> 0.01
361addx323 add 0.01 0.01 -> 0.02
362addx324 add 0.12 0.01 -> 0.13
363addx325 add 0.98 0.01 -> 0.99
364addx326 add 0.99 0.01 -> 1.00
365addx327 add 1.00 0.01 -> 1.01
366addx328 add 1.01 0.01 -> 1.02
367addx329 add -0.01 -0.01 -> -0.02
368addx330 add 0.00 -0.01 -> -0.01
369addx331 add 0.01 -0.01 -> 0.00
370addx332 add 0.12 -0.01 -> 0.11
371addx333 add 0.98 -0.01 -> 0.97
372addx334 add 0.99 -0.01 -> 0.98
373addx335 add 1.00 -0.01 -> 0.99
374addx336 add 1.01 -0.01 -> 1.00
375
376-- some more cases where adding 0 affects the coefficient
377precision: 9
378addx340 add 1E+3 0 -> 1000
379addx341 add 1E+8 0 -> 100000000
380addx342 add 1E+9 0 -> 1.00000000E+9 Rounded
381addx343 add 1E+10 0 -> 1.00000000E+10 Rounded
382-- which simply follow from these cases ...
383addx344 add 1E+3 1 -> 1001
384addx345 add 1E+8 1 -> 100000001
385addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded
386addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded
387addx348 add 1E+3 7 -> 1007
388addx349 add 1E+8 7 -> 100000007
389addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded
390addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded
391
392-- tryzeros cases
393precision: 7
394rounding: half_up
395maxExponent: 92
396minexponent: -92
397addx361 add 0E+50 10000E+1 -> 1.0000E+5
398addx362 add 10000E+1 0E-50 -> 100000.0 Rounded
399addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
Facundo Batista353750c2007-09-13 18:13:15 +0000400addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000401
402-- a curiosity from JSR 13 testing
403rounding: half_down
404precision: 10
405addx370 add 99999999 81512 -> 100081511
406precision: 6
407addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
408rounding: half_up
409precision: 10
410addx372 add 99999999 81512 -> 100081511
411precision: 6
412addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
413rounding: half_even
414precision: 10
415addx374 add 99999999 81512 -> 100081511
416precision: 6
417addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
418
419-- ulp replacement tests
420precision: 9
421maxexponent: 999999999
422minexponent: -999999999
423addx400 add 1 77e-7 -> 1.0000077
424addx401 add 1 77e-8 -> 1.00000077
425addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded
426addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded
427addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded
428addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded
429addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded
430addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded
431
432addx410 add 10 77e-7 -> 10.0000077
433addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded
434addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded
435addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded
436addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded
437addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded
438addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded
439addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded
440
441addx420 add 77e-7 1 -> 1.0000077
442addx421 add 77e-8 1 -> 1.00000077
443addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded
444addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded
445addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded
446addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded
447addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded
448addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded
449
450addx430 add 77e-7 10 -> 10.0000077
451addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded
452addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded
453addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded
454addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded
455addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded
456addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded
457addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded
458
459-- negative ulps
460addx440 add 1 -77e-7 -> 0.9999923
461addx441 add 1 -77e-8 -> 0.99999923
462addx442 add 1 -77e-9 -> 0.999999923
463addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded
464addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded
465addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded
466addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded
467addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded
468
469addx450 add 10 -77e-7 -> 9.9999923
470addx451 add 10 -77e-8 -> 9.99999923
471addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded
472addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded
473addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded
474addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded
475addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded
476addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded
477
478addx460 add -77e-7 1 -> 0.9999923
479addx461 add -77e-8 1 -> 0.99999923
480addx462 add -77e-9 1 -> 0.999999923
481addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded
482addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded
483addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded
484addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded
485addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded
486
487addx470 add -77e-7 10 -> 9.9999923
488addx471 add -77e-8 10 -> 9.99999923
489addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded
490addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded
491addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded
492addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded
493addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded
494addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded
495
496-- negative ulps
497addx480 add -1 77e-7 -> -0.9999923
498addx481 add -1 77e-8 -> -0.99999923
499addx482 add -1 77e-9 -> -0.999999923
500addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded
501addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded
502addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded
503addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded
504addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded
505
506addx490 add -10 77e-7 -> -9.9999923
507addx491 add -10 77e-8 -> -9.99999923
508addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded
509addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded
510addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded
511addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded
512addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded
513addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded
514
515addx500 add 77e-7 -1 -> -0.9999923
516addx501 add 77e-8 -1 -> -0.99999923
517addx502 add 77e-9 -1 -> -0.999999923
518addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded
519addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded
520addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded
521addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded
522addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded
523
524addx510 add 77e-7 -10 -> -9.9999923
525addx511 add 77e-8 -10 -> -9.99999923
526addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded
527addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded
528addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded
529addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded
530addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded
531addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded
532
533
534-- long operands
535maxexponent: 999
536minexponent: -999
537precision: 9
538addx521 add 12345678000 0 -> 1.23456780E+10 Rounded
539addx522 add 0 12345678000 -> 1.23456780E+10 Rounded
540addx523 add 1234567800 0 -> 1.23456780E+9 Rounded
541addx524 add 0 1234567800 -> 1.23456780E+9 Rounded
542addx525 add 1234567890 0 -> 1.23456789E+9 Rounded
543addx526 add 0 1234567890 -> 1.23456789E+9 Rounded
544addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded
545addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded
546addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded
547addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded
548addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded
549addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded
550
551precision: 15
552-- still checking
553addx541 add 12345678000 0 -> 12345678000
554addx542 add 0 12345678000 -> 12345678000
555addx543 add 1234567800 0 -> 1234567800
556addx544 add 0 1234567800 -> 1234567800
557addx545 add 1234567890 0 -> 1234567890
558addx546 add 0 1234567890 -> 1234567890
559addx547 add 1234567891 0 -> 1234567891
560addx548 add 0 1234567891 -> 1234567891
561addx549 add 12345678901 0 -> 12345678901
562addx550 add 0 12345678901 -> 12345678901
563addx551 add 1234567896 0 -> 1234567896
564addx552 add 0 1234567896 -> 1234567896
565
566-- verify a query
567precision: 16
568maxExponent: +394
569minExponent: -393
570rounding: down
571addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
572addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
Facundo Batista353750c2007-09-13 18:13:15 +0000573-- and using decimal64 bounds (see also ddadd.decTest)
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000574precision: 16
575maxExponent: +384
576minExponent: -383
577rounding: down
578addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
579addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
580
Facundo Batista353750c2007-09-13 18:13:15 +0000581
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000582-- some more residue effects with extreme rounding
583precision: 9
584rounding: half_up
585addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded
586rounding: half_even
587addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded
588rounding: half_down
589addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded
590rounding: floor
591addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded
592rounding: ceiling
593addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded
594rounding: up
595addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded
596rounding: down
597addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded
598
599rounding: half_up
600addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded
601rounding: half_even
602addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded
603rounding: half_down
604addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded
605rounding: floor
606addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded
607rounding: ceiling
608addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded
609rounding: up
610addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded
611rounding: down
612addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded
613
614rounding: half_up
615addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded
616rounding: half_even
617addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded
618rounding: half_down
619addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded
620rounding: floor
621addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded
622rounding: ceiling
623addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded
624rounding: up
625addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded
626rounding: down
627addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded
628
629rounding: half_up
630addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded
631rounding: half_even
632addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded
633rounding: half_down
634addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded
635rounding: floor
636addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded
637rounding: ceiling
638addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded
639rounding: up
640addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded
641rounding: down
642addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded
643
644rounding: half_up
645addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded
646rounding: half_even
647addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded
648rounding: half_down
649addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded
650rounding: floor
651addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded
652rounding: ceiling
653addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded
654rounding: up
655addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded
656rounding: down
657addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded
658
659rounding: half_up
660addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded
661rounding: half_even
662addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded
663rounding: half_down
664addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded
665rounding: floor
666addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded
667rounding: ceiling
668addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded
669rounding: up
670addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded
671rounding: down
672addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded
673
674-- long operand triangle
675rounding: half_up
676precision: 37
677addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
678precision: 36
679addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
680precision: 35
681addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
682precision: 34
683addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
684precision: 33
685addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
686precision: 32
687addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
688precision: 31
689addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
690precision: 30
691addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
692precision: 29
693addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
694precision: 28
695addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
696precision: 27
697addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
698precision: 26
699addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
700precision: 25
701addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
702precision: 24
703addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
704precision: 23
705addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
706precision: 22
707addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
708precision: 21
709addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
710precision: 20
711addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
712precision: 19
713addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
714precision: 18
715addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
716precision: 17
717addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
718precision: 16
719addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
720precision: 15
721addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
722precision: 14
723addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
724precision: 13
725addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
726precision: 12
727addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
728precision: 11
729addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
730precision: 10
731addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
732precision: 9
733addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
734precision: 8
735addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
736precision: 7
737addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
738precision: 6
739addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
740precision: 5
741addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
742precision: 4
743addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
744precision: 3
745addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
746precision: 2
747addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
748precision: 1
749addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
750
751-- more zeros, etc.
752rounding: half_up
753precision: 9
754
755addx701 add 5.00 1.00E-3 -> 5.00100
756addx702 add 00.00 0.000 -> 0.000
757addx703 add 00.00 0E-3 -> 0.000
758addx704 add 0E-3 00.00 -> 0.000
759
760addx710 add 0E+3 00.00 -> 0.00
761addx711 add 0E+3 00.0 -> 0.0
762addx712 add 0E+3 00. -> 0
763addx713 add 0E+3 00.E+1 -> 0E+1
764addx714 add 0E+3 00.E+2 -> 0E+2
765addx715 add 0E+3 00.E+3 -> 0E+3
766addx716 add 0E+3 00.E+4 -> 0E+3
767addx717 add 0E+3 00.E+5 -> 0E+3
768addx718 add 0E+3 -00.0 -> 0.0
769addx719 add 0E+3 -00. -> 0
770addx731 add 0E+3 -00.E+1 -> 0E+1
771
772addx720 add 00.00 0E+3 -> 0.00
773addx721 add 00.0 0E+3 -> 0.0
774addx722 add 00. 0E+3 -> 0
775addx723 add 00.E+1 0E+3 -> 0E+1
776addx724 add 00.E+2 0E+3 -> 0E+2
777addx725 add 00.E+3 0E+3 -> 0E+3
778addx726 add 00.E+4 0E+3 -> 0E+3
779addx727 add 00.E+5 0E+3 -> 0E+3
780addx728 add -00.00 0E+3 -> 0.00
781addx729 add -00.0 0E+3 -> 0.0
782addx730 add -00. 0E+3 -> 0
783
784addx732 add 0 0 -> 0
785addx733 add 0 -0 -> 0
786addx734 add -0 0 -> 0
787addx735 add -0 -0 -> -0 -- IEEE 854 special case
788
789addx736 add 1 -1 -> 0
790addx737 add -1 -1 -> -2
791addx738 add 1 1 -> 2
792addx739 add -1 1 -> 0
793
794addx741 add 0 -1 -> -1
795addx742 add -0 -1 -> -1
796addx743 add 0 1 -> 1
797addx744 add -0 1 -> 1
798addx745 add -1 0 -> -1
799addx746 add -1 -0 -> -1
800addx747 add 1 0 -> 1
801addx748 add 1 -0 -> 1
802
803addx751 add 0.0 -1 -> -1.0
804addx752 add -0.0 -1 -> -1.0
805addx753 add 0.0 1 -> 1.0
806addx754 add -0.0 1 -> 1.0
807addx755 add -1.0 0 -> -1.0
808addx756 add -1.0 -0 -> -1.0
809addx757 add 1.0 0 -> 1.0
810addx758 add 1.0 -0 -> 1.0
811
812addx761 add 0 -1.0 -> -1.0
813addx762 add -0 -1.0 -> -1.0
814addx763 add 0 1.0 -> 1.0
815addx764 add -0 1.0 -> 1.0
816addx765 add -1 0.0 -> -1.0
817addx766 add -1 -0.0 -> -1.0
818addx767 add 1 0.0 -> 1.0
819addx768 add 1 -0.0 -> 1.0
820
821addx771 add 0.0 -1.0 -> -1.0
822addx772 add -0.0 -1.0 -> -1.0
823addx773 add 0.0 1.0 -> 1.0
824addx774 add -0.0 1.0 -> 1.0
825addx775 add -1.0 0.0 -> -1.0
826addx776 add -1.0 -0.0 -> -1.0
827addx777 add 1.0 0.0 -> 1.0
828addx778 add 1.0 -0.0 -> 1.0
829
830-- Specials
831addx780 add -Inf -Inf -> -Infinity
832addx781 add -Inf -1000 -> -Infinity
833addx782 add -Inf -1 -> -Infinity
834addx783 add -Inf -0 -> -Infinity
835addx784 add -Inf 0 -> -Infinity
836addx785 add -Inf 1 -> -Infinity
837addx786 add -Inf 1000 -> -Infinity
838addx787 add -1000 -Inf -> -Infinity
839addx788 add -Inf -Inf -> -Infinity
840addx789 add -1 -Inf -> -Infinity
841addx790 add -0 -Inf -> -Infinity
842addx791 add 0 -Inf -> -Infinity
843addx792 add 1 -Inf -> -Infinity
844addx793 add 1000 -Inf -> -Infinity
845addx794 add Inf -Inf -> NaN Invalid_operation
846
847addx800 add Inf -Inf -> NaN Invalid_operation
848addx801 add Inf -1000 -> Infinity
849addx802 add Inf -1 -> Infinity
850addx803 add Inf -0 -> Infinity
851addx804 add Inf 0 -> Infinity
852addx805 add Inf 1 -> Infinity
853addx806 add Inf 1000 -> Infinity
854addx807 add Inf Inf -> Infinity
855addx808 add -1000 Inf -> Infinity
856addx809 add -Inf Inf -> NaN Invalid_operation
857addx810 add -1 Inf -> Infinity
858addx811 add -0 Inf -> Infinity
859addx812 add 0 Inf -> Infinity
860addx813 add 1 Inf -> Infinity
861addx814 add 1000 Inf -> Infinity
862addx815 add Inf Inf -> Infinity
863
864addx821 add NaN -Inf -> NaN
865addx822 add NaN -1000 -> NaN
866addx823 add NaN -1 -> NaN
867addx824 add NaN -0 -> NaN
868addx825 add NaN 0 -> NaN
869addx826 add NaN 1 -> NaN
870addx827 add NaN 1000 -> NaN
871addx828 add NaN Inf -> NaN
872addx829 add NaN NaN -> NaN
873addx830 add -Inf NaN -> NaN
874addx831 add -1000 NaN -> NaN
875addx832 add -1 NaN -> NaN
876addx833 add -0 NaN -> NaN
877addx834 add 0 NaN -> NaN
878addx835 add 1 NaN -> NaN
879addx836 add 1000 NaN -> NaN
880addx837 add Inf NaN -> NaN
881
882addx841 add sNaN -Inf -> NaN Invalid_operation
883addx842 add sNaN -1000 -> NaN Invalid_operation
884addx843 add sNaN -1 -> NaN Invalid_operation
885addx844 add sNaN -0 -> NaN Invalid_operation
886addx845 add sNaN 0 -> NaN Invalid_operation
887addx846 add sNaN 1 -> NaN Invalid_operation
888addx847 add sNaN 1000 -> NaN Invalid_operation
889addx848 add sNaN NaN -> NaN Invalid_operation
890addx849 add sNaN sNaN -> NaN Invalid_operation
891addx850 add NaN sNaN -> NaN Invalid_operation
892addx851 add -Inf sNaN -> NaN Invalid_operation
893addx852 add -1000 sNaN -> NaN Invalid_operation
894addx853 add -1 sNaN -> NaN Invalid_operation
895addx854 add -0 sNaN -> NaN Invalid_operation
896addx855 add 0 sNaN -> NaN Invalid_operation
897addx856 add 1 sNaN -> NaN Invalid_operation
898addx857 add 1000 sNaN -> NaN Invalid_operation
899addx858 add Inf sNaN -> NaN Invalid_operation
900addx859 add NaN sNaN -> NaN Invalid_operation
901
902-- propagating NaNs
903addx861 add NaN1 -Inf -> NaN1
904addx862 add +NaN2 -1000 -> NaN2
905addx863 add NaN3 1000 -> NaN3
906addx864 add NaN4 Inf -> NaN4
907addx865 add NaN5 +NaN6 -> NaN5
908addx866 add -Inf NaN7 -> NaN7
909addx867 add -1000 NaN8 -> NaN8
910addx868 add 1000 NaN9 -> NaN9
911addx869 add Inf +NaN10 -> NaN10
912addx871 add sNaN11 -Inf -> NaN11 Invalid_operation
913addx872 add sNaN12 -1000 -> NaN12 Invalid_operation
914addx873 add sNaN13 1000 -> NaN13 Invalid_operation
915addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation
916addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
917addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation
918addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation
919addx878 add -1000 sNaN21 -> NaN21 Invalid_operation
920addx879 add 1000 sNaN22 -> NaN22 Invalid_operation
921addx880 add Inf sNaN23 -> NaN23 Invalid_operation
922addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
923addx882 add -NaN26 NaN28 -> -NaN26
924addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
925addx884 add 1000 -NaN30 -> -NaN30
926addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
927
928-- overflow, underflow and subnormal tests
929maxexponent: 999999999
930minexponent: -999999999
931precision: 9
932addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded
933addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded
934addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal
935addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal
936addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal
937addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal
938addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded
939addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded
940addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal
941addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal
942addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal
943addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal
944addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999
945addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999
946
947precision: 3
948addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
949addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
950addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded
951addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
952
953precision: 3
954maxexponent: 999
955minexponent: -999
956addx910 add 1.00E-999 0 -> 1.00E-999
957addx911 add 0.1E-999 0 -> 1E-1000 Subnormal
958addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal
959addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
960addx914 add 0.01E-999 0 -> 1E-1001 Subnormal
Facundo Batista353750c2007-09-13 18:13:15 +0000961-- next is rounded to Nmin
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000962addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
963addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
964addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
Facundo Batista353750c2007-09-13 18:13:15 +0000965addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
966addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
967addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000968
969addx930 add -1.00E-999 0 -> -1.00E-999
970addx931 add -0.1E-999 0 -> -1E-1000 Subnormal
971addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal
972addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
973addx934 add -0.01E-999 0 -> -1E-1001 Subnormal
Facundo Batista353750c2007-09-13 18:13:15 +0000974-- next is rounded to Nmin
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000975addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
976addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
977addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
Facundo Batista353750c2007-09-13 18:13:15 +0000978addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
979addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
980addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000981
982-- some non-zero subnormal adds
983addx950 add 1.00E-999 0.1E-999 -> 1.10E-999
984addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
985addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
986addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
987addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
988addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
989addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
990addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
991addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
992addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
993addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
994-- negatives...
995addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
996addx962 add 0.1E-999 -0.1E-999 -> 0E-1000
997addx963 add 0.10E-999 -0.1E-999 -> 0E-1001
998addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
999addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
1000addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
Facundo Batista353750c2007-09-13 18:13:15 +00001001addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001002addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
1003addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1004addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1005addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1006
Facundo Batista353750c2007-09-13 18:13:15 +00001007-- some 'real' numbers
1008maxExponent: 384
1009minExponent: -383
1010precision: 8
1011addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
1012precision: 7
1013addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
1014precision: 6
1015addx568 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]
1020precision: 16
1021rounding: half_up
1022maxExponent: 384
1023minExponent: -383
1024
1025addx571 add 1E-383 0 -> 1E-383
1026addx572 add 1E-384 0 -> 1E-384 Subnormal
1027addx573 add 1E-383 1E-384 -> 1.1E-383
1028addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
1029
1030-- Here we explore the boundary of rounding a subnormal to Nmin
1031addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1032addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1033addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1034addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1035addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1036addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1037
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001038-- check overflow edge case
1039precision: 7
1040rounding: half_up
1041maxExponent: 96
1042minExponent: -95
1043addx972 apply 9.999999E+96 -> 9.999999E+96
1044addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded
1045addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded
1046addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded
1047addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded
1048addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded
1049addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded
1050addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded
1051addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded
1052addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded
1053addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded
1054addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded
1055addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded
1056
1057addx985 apply -9.999999E+96 -> -9.999999E+96
1058addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded
1059addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded
1060addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded
1061addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded
1062addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded
1063addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded
1064addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded
1065addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded
1066addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded
1067addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded
1068addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded
1069addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded
1070
1071-- check for double-rounded subnormals
1072precision: 5
1073maxexponent: 79
1074minexponent: -79
1075-- Add: lhs and rhs 0
1076addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1077addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1078addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1079addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1080addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1081addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1082
1083-- Add: lhs >> rhs and vice versa
1084addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1085addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1086addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1087addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1088addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1089addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1090
1091-- Add: lhs + rhs addition carried out
1092addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1093addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1094addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1095addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1096addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1097addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1098
1099-- And for round down full and subnormal results
1100precision: 16
1101maxExponent: +384
1102minExponent: -383
1103rounding: down
1104
1105addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
1106addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
1107addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
1108addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
1109addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
1110addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
1111addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
1112addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
1113addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
1114
1115rounding: ceiling
1116addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
1117addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
1118addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
1119addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
1120addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
1121addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
1122addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
1123addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
1124addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
1125
1126rounding: down
1127precision: 7
1128maxExponent: +96
1129minExponent: -95
1130addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact
1131-- subnormal boundary
1132addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
1133addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
1134addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
1135addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
1136addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
1137addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
1138addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
1139addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
1140addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1141addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1142addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
Facundo Batista353750c2007-09-13 18:13:15 +00001143addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1144addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1145addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001146
1147addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1148addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1149addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
Facundo Batista353750c2007-09-13 18:13:15 +00001150addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1151addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1152addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1153addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001154
Facundo Batista353750c2007-09-13 18:13:15 +00001155addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1156addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001157
Facundo Batista353750c2007-09-13 18:13:15 +00001158-- tests based on Gunnar Degnbol's edge case
1159precision: 15
1160rounding: half_up
1161maxExponent: 384
1162minexponent: -383
1163
1164addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
1165addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
1166addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded
1167addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded
1168addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded
1169addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded
1170addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded
1171addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
1172addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
1173addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
1174addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
1175addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
1176addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
1177addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
1178addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
1179addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
1180addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
1181addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
1182addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
1183
1184precision: 16
1185
1186addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
1187addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
1188addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
1189addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
1190addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
1191addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
1192addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
1193addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
1194addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
1195addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
1196addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
1197addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
1198addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
1199addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
1200addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
1201addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
1202addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1203addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1204addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1205addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1206addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1207addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1208addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1209addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1210addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1211addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1212addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
1213addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
1214addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
1215addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
1216addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
1217
1218addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
1219addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
1220
1221addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
1222addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
1223addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
1224addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
1225addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
1226addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
1227addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
1228addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
1229addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
1230addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
1231addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
1232addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
1233addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
1234addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
1235addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
1236addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
1237addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1238addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1239addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1240addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1241addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1242addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1243addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1244addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1245addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1246addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1247addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
1248addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
1249addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
1250addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
1251addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
1252addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
1253addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
1254addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
1255addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
1256addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
1257addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
1258addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
1259addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
1260addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
1261addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
1262addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
1263addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
1264addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
1265addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
1266addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
1267addx1396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
1268
1269-- More GD edge cases, where difference between the unadjusted
1270-- exponents is larger than the maximum precision and one side is 0
1271precision: 15
1272rounding: half_up
1273maxExponent: 384
1274minexponent: -383
1275
1276addx1400 add 0 1.23456789012345 -> 1.23456789012345
1277addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345
1278addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345
1279addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345
1280addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345
1281addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345
1282addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345
1283addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7
1284addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8
1285addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9
1286addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10
1287addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11
1288addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12
1289addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13
1290addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14
1291addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15
1292addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16
1293addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17
1294addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18
1295addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19
1296
1297-- same, precision 16..
1298precision: 16
1299addx1420 add 0 1.123456789012345 -> 1.123456789012345
1300addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345
1301addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345
1302addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345
1303addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
1304addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
1305addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
1306addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
1307addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
1308addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
1309addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
1310addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
1311addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
1312addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
1313addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
1314addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
1315addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
1316addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
1317addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
1318addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
1319
1320-- same, reversed 0
1321addx1440 add 1.123456789012345 0 -> 1.123456789012345
1322addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345
1323addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345
1324addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345
1325addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
1326addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
1327addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
1328addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
1329addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
1330addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
1331addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
1332addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
1333addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
1334addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
1335addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
1336addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
1337addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
1338addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
1339addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
1340addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
1341
1342-- same, Es on the 0
1343addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345
1344addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345
1345addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345
1346addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345
1347addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345
1348addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345
1349addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345
1350addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345
1351addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345
1352addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345
1353addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345
1354addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345
1355addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345
1356addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345
1357addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345
1358addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345
1359-- next four flag Rounded because the 0 extends the result
1360addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
1361addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
1362addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
1363addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
1364
1365-- sum of two opposite-sign operands is exactly 0 and floor => -0
1366precision: 16
1367maxExponent: 384
1368minexponent: -383
1369
1370rounding: half_up
1371-- exact zeros from zeros
1372addx1500 add 0 0E-19 -> 0E-19
1373addx1501 add -0 0E-19 -> 0E-19
1374addx1502 add 0 -0E-19 -> 0E-19
1375addx1503 add -0 -0E-19 -> -0E-19
1376addx1504 add 0E-400 0E-19 -> 0E-398 Clamped
1377addx1505 add -0E-400 0E-19 -> 0E-398 Clamped
1378addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped
1379addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped
1380-- inexact zeros
1381addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1382addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1383addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1384addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1385-- some exact zeros from non-zeros
1386addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1387addx1516 add -1E-401 1E-401 -> 0E-398 Clamped
1388addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped
1389addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1390
1391rounding: half_down
1392-- exact zeros from zeros
1393addx1520 add 0 0E-19 -> 0E-19
1394addx1521 add -0 0E-19 -> 0E-19
1395addx1522 add 0 -0E-19 -> 0E-19
1396addx1523 add -0 -0E-19 -> -0E-19
1397addx1524 add 0E-400 0E-19 -> 0E-398 Clamped
1398addx1525 add -0E-400 0E-19 -> 0E-398 Clamped
1399addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped
1400addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped
1401-- inexact zeros
1402addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1403addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1404addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1405addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1406-- some exact zeros from non-zeros
1407addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1408addx1536 add -1E-401 1E-401 -> 0E-398 Clamped
1409addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped
1410addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1411
1412rounding: half_even
1413-- exact zeros from zeros
1414addx1540 add 0 0E-19 -> 0E-19
1415addx1541 add -0 0E-19 -> 0E-19
1416addx1542 add 0 -0E-19 -> 0E-19
1417addx1543 add -0 -0E-19 -> -0E-19
1418addx1544 add 0E-400 0E-19 -> 0E-398 Clamped
1419addx1545 add -0E-400 0E-19 -> 0E-398 Clamped
1420addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped
1421addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped
1422-- inexact zeros
1423addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1424addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1425addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1426addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1427-- some exact zeros from non-zeros
1428addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1429addx1556 add -1E-401 1E-401 -> 0E-398 Clamped
1430addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped
1431addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1432
1433rounding: up
1434-- exact zeros from zeros
1435addx1560 add 0 0E-19 -> 0E-19
1436addx1561 add -0 0E-19 -> 0E-19
1437addx1562 add 0 -0E-19 -> 0E-19
1438addx1563 add -0 -0E-19 -> -0E-19
1439addx1564 add 0E-400 0E-19 -> 0E-398 Clamped
1440addx1565 add -0E-400 0E-19 -> 0E-398 Clamped
1441addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped
1442addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped
1443-- inexact zeros
1444addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1445addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1446addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1447addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1448-- some exact zeros from non-zeros
1449addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
1450addx1576 add -1E-401 1E-401 -> 0E-398 Clamped
1451addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped
1452addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
1453
1454rounding: down
1455-- exact zeros from zeros
1456addx1580 add 0 0E-19 -> 0E-19
1457addx1581 add -0 0E-19 -> 0E-19
1458addx1582 add 0 -0E-19 -> 0E-19
1459addx1583 add -0 -0E-19 -> -0E-19
1460addx1584 add 0E-400 0E-19 -> 0E-398 Clamped
1461addx1585 add -0E-400 0E-19 -> 0E-398 Clamped
1462addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped
1463addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped
1464-- inexact zeros
1465addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1466addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1467addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1468addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1469-- some exact zeros from non-zeros
1470addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1471addx1596 add -1E-401 1E-401 -> 0E-398 Clamped
1472addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped
1473addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1474
1475rounding: ceiling
1476-- exact zeros from zeros
1477addx1600 add 0 0E-19 -> 0E-19
1478addx1601 add -0 0E-19 -> 0E-19
1479addx1602 add 0 -0E-19 -> 0E-19
1480addx1603 add -0 -0E-19 -> -0E-19
1481addx1604 add 0E-400 0E-19 -> 0E-398 Clamped
1482addx1605 add -0E-400 0E-19 -> 0E-398 Clamped
1483addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped
1484addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped
1485-- inexact zeros
1486addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1487addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
1488addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1489addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1490-- some exact zeros from non-zeros
1491addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
1492addx1616 add -1E-401 1E-401 -> 0E-398 Clamped
1493addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped
1494addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
1495
1496-- and the extra-special ugly case; unusual minuses marked by -- *
1497rounding: floor
1498-- exact zeros from zeros
1499addx1620 add 0 0E-19 -> 0E-19
1500addx1621 add -0 0E-19 -> -0E-19 -- *
1501addx1622 add 0 -0E-19 -> -0E-19 -- *
1502addx1623 add -0 -0E-19 -> -0E-19
1503addx1624 add 0E-400 0E-19 -> 0E-398 Clamped
1504addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
1505addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
1506addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped
1507-- inexact zeros
1508addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1509addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1510addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1511addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
1512-- some exact zeros from non-zeros
1513addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
1514addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
1515addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
1516addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
1517
1518-- BigDecimal problem testcases 2006.01.23
1519precision: 16
1520maxExponent: 384
1521minexponent: -383
1522
1523rounding: down
1524precision: 7
1525addx1651 add 10001E+2 -2E+1 -> 1.00008E+6
1526precision: 6
1527addx1652 add 10001E+2 -2E+1 -> 1.00008E+6
1528precision: 5
1529addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
1530precision: 4
1531addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
1532precision: 3
1533addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
1534precision: 2
1535addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
1536precision: 1
1537addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
1538
1539rounding: half_even
1540precision: 7
1541addx1661 add 10001E+2 -2E+1 -> 1.00008E+6
1542precision: 6
1543addx1662 add 10001E+2 -2E+1 -> 1.00008E+6
1544precision: 5
1545addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
1546precision: 4
1547addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
1548precision: 3
1549addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
1550precision: 2
1551addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
1552precision: 1
1553addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
1554
1555rounding: up
1556precision: 7
1557addx1671 add 10001E+2 -2E+1 -> 1.00008E+6
1558precision: 6
1559addx1672 add 10001E+2 -2E+1 -> 1.00008E+6
1560precision: 5
1561addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
1562precision: 4
1563addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
1564precision: 3
1565addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
1566precision: 2
1567addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
1568precision: 1
1569addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
1570
1571precision: 34
1572rounding: half_up
1573maxExponent: 6144
1574minExponent: -6143
1575-- Examples from SQL proposal (Krishna Kulkarni)
1576addx1701 add 130E-2 120E-2 -> 2.50
1577addx1702 add 130E-2 12E-1 -> 2.50
1578addx1703 add 130E-2 1E0 -> 2.30
1579addx1704 add 1E2 1E4 -> 1.01E+4
1580addx1705 subtract 130E-2 120E-2 -> 0.10
1581addx1706 subtract 130E-2 12E-1 -> 0.10
1582addx1707 subtract 130E-2 1E0 -> 0.30
1583addx1708 subtract 1E2 1E4 -> -9.9E+3
1584
1585------------------------------------------------------------------------
1586-- Same as above, using decimal64 default parameters --
1587------------------------------------------------------------------------
1588precision: 16
1589rounding: half_even
1590maxExponent: 384
1591minexponent: -383
1592
1593-- [first group are 'quick confidence check']
1594addx6001 add 1 1 -> 2
1595addx6002 add 2 3 -> 5
1596addx6003 add '5.75' '3.3' -> 9.05
1597addx6004 add '5' '-3' -> 2
1598addx6005 add '-5' '-3' -> -8
1599addx6006 add '-7' '2.5' -> -4.5
1600addx6007 add '0.7' '0.3' -> 1.0
1601addx6008 add '1.25' '1.25' -> 2.50
1602addx6009 add '1.23456789' '1.00000000' -> '2.23456789'
1603addx6010 add '1.23456789' '1.00000011' -> '2.23456800'
1604
1605addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
1606addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
1607addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
1608addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
1609addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
1610addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
1611addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
1612addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
1613addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
1614addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
1615
1616addx6021 add 0 1 -> 1
1617addx6022 add 1 1 -> 2
1618addx6023 add 2 1 -> 3
1619addx6024 add 3 1 -> 4
1620addx6025 add 4 1 -> 5
1621addx6026 add 5 1 -> 6
1622addx6027 add 6 1 -> 7
1623addx6028 add 7 1 -> 8
1624addx6029 add 8 1 -> 9
1625addx6030 add 9 1 -> 10
1626
1627-- some carrying effects
1628addx6031 add '0.9998' '0.0000' -> '0.9998'
1629addx6032 add '0.9998' '0.0001' -> '0.9999'
1630addx6033 add '0.9998' '0.0002' -> '1.0000'
1631addx6034 add '0.9998' '0.0003' -> '1.0001'
1632
1633addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
1634addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
1635addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
1636addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
1637addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
1638
1639-- symmetry:
1640addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
1641addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
1642addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
1643addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
1644addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
1645
1646addx6046 add '10000e+9' '7' -> '10000000000007'
1647addx6047 add '10000e+9' '70' -> '10000000000070'
1648addx6048 add '10000e+9' '700' -> '10000000000700'
1649addx6049 add '10000e+9' '7000' -> '10000000007000'
1650addx6050 add '10000e+9' '70000' -> '10000000070000'
1651addx6051 add '10000e+9' '700000' -> '10000000700000'
1652
1653-- examples from decarith
1654addx6053 add '12' '7.00' -> '19.00'
1655addx6054 add '1.3' '-1.07' -> '0.23'
1656addx6055 add '1.3' '-1.30' -> '0.00'
1657addx6056 add '1.3' '-2.07' -> '-0.77'
1658addx6057 add '1E+2' '1E+4' -> '1.01E+4'
1659
1660-- from above
1661addx6061 add 1 '0.1' -> '1.1'
1662addx6062 add 1 '0.01' -> '1.01'
1663addx6063 add 1 '0.001' -> '1.001'
1664addx6064 add 1 '0.0001' -> '1.0001'
1665addx6065 add 1 '0.00001' -> '1.00001'
1666addx6066 add 1 '0.000001' -> '1.000001'
1667addx6067 add 1 '0.0000001' -> '1.0000001'
1668addx6068 add 1 '0.00000001' -> '1.00000001'
1669
1670-- cancellation to integer
1671addx6069 add 99999999999999123456789 -99999999999999E+9 -> 123456789
1672
1673-- some funny zeros [in case of bad signum]
1674addx6070 add 1 0 -> 1
1675addx6071 add 1 0. -> 1
1676addx6072 add 1 .0 -> 1.0
1677addx6073 add 1 0.0 -> 1.0
1678addx6074 add 1 0.00 -> 1.00
1679addx6075 add 0 1 -> 1
1680addx6076 add 0. 1 -> 1
1681addx6077 add .0 1 -> 1.0
1682addx6078 add 0.0 1 -> 1.0
1683addx6079 add 0.00 1 -> 1.00
1684
1685-- some carries
1686addx6080 add 9999999999999998 1 -> 9999999999999999
1687addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded
1688addx6082 add 999999999999999 1 -> 1000000000000000
1689addx6083 add 9999999999999 1 -> 10000000000000
1690addx6084 add 99999999999 1 -> 100000000000
1691addx6085 add 999999999 1 -> 1000000000
1692addx6086 add 9999999 1 -> 10000000
1693addx6087 add 99999 1 -> 100000
1694addx6088 add 999 1 -> 1000
1695addx6089 add 9 1 -> 10
1696
1697
1698-- more LHS swaps
1699addx6090 add '-56267E-10' 0 -> '-0.0000056267'
1700addx6091 add '-56267E-6' 0 -> '-0.056267'
1701addx6092 add '-56267E-5' 0 -> '-0.56267'
1702addx6093 add '-56267E-4' 0 -> '-5.6267'
1703addx6094 add '-56267E-3' 0 -> '-56.267'
1704addx6095 add '-56267E-2' 0 -> '-562.67'
1705addx6096 add '-56267E-1' 0 -> '-5626.7'
1706addx6097 add '-56267E-0' 0 -> '-56267'
1707addx6098 add '-5E-10' 0 -> '-5E-10'
1708addx6099 add '-5E-7' 0 -> '-5E-7'
1709addx6100 add '-5E-6' 0 -> '-0.000005'
1710addx6101 add '-5E-5' 0 -> '-0.00005'
1711addx6102 add '-5E-4' 0 -> '-0.0005'
1712addx6103 add '-5E-1' 0 -> '-0.5'
1713addx6104 add '-5E0' 0 -> '-5'
1714addx6105 add '-5E1' 0 -> '-50'
1715addx6106 add '-5E5' 0 -> '-500000'
1716addx6107 add '-5E15' 0 -> '-5000000000000000'
1717addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded
1718addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded
1719addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded
1720addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded
1721
1722-- more RHS swaps
1723addx6113 add 0 '-56267E-10' -> '-0.0000056267'
1724addx6114 add 0 '-56267E-6' -> '-0.056267'
1725addx6116 add 0 '-56267E-5' -> '-0.56267'
1726addx6117 add 0 '-56267E-4' -> '-5.6267'
1727addx6119 add 0 '-56267E-3' -> '-56.267'
1728addx6120 add 0 '-56267E-2' -> '-562.67'
1729addx6121 add 0 '-56267E-1' -> '-5626.7'
1730addx6122 add 0 '-56267E-0' -> '-56267'
1731addx6123 add 0 '-5E-10' -> '-5E-10'
1732addx6124 add 0 '-5E-7' -> '-5E-7'
1733addx6125 add 0 '-5E-6' -> '-0.000005'
1734addx6126 add 0 '-5E-5' -> '-0.00005'
1735addx6127 add 0 '-5E-4' -> '-0.0005'
1736addx6128 add 0 '-5E-1' -> '-0.5'
1737addx6129 add 0 '-5E0' -> '-5'
1738addx6130 add 0 '-5E1' -> '-50'
1739addx6131 add 0 '-5E5' -> '-500000'
1740addx6132 add 0 '-5E15' -> '-5000000000000000'
1741addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded
1742addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded
1743addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded
1744addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded
1745
1746-- related
1747addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded
1748addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded
1749addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded
1750addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded
1751addx6141 add 1E+11 0.0000 -> '100000000000.0000'
1752addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded
1753addx6143 add 0.000 1E+12 -> '1000000000000.000'
1754addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded
1755
1756-- [some of the next group are really constructor tests]
1757addx6146 add '00.0' 0 -> '0.0'
1758addx6147 add '0.00' 0 -> '0.00'
1759addx6148 add 0 '0.00' -> '0.00'
1760addx6149 add 0 '00.0' -> '0.0'
1761addx6150 add '00.0' '0.00' -> '0.00'
1762addx6151 add '0.00' '00.0' -> '0.00'
1763addx6152 add '3' '.3' -> '3.3'
1764addx6153 add '3.' '.3' -> '3.3'
1765addx6154 add '3.0' '.3' -> '3.3'
1766addx6155 add '3.00' '.3' -> '3.30'
1767addx6156 add '3' '3' -> '6'
1768addx6157 add '3' '+3' -> '6'
1769addx6158 add '3' '-3' -> '0'
1770addx6159 add '0.3' '-0.3' -> '0.0'
1771addx6160 add '0.03' '-0.03' -> '0.00'
1772
1773-- try borderline precision, with carries, etc.
1774addx6161 add '1E+13' '-1' -> '9999999999999'
1775addx6162 add '1E+13' '1.11' -> '10000000000001.11'
1776addx6163 add '1.11' '1E+13' -> '10000000000001.11'
1777addx6164 add '-1' '1E+13' -> '9999999999999'
1778addx6165 add '7E+13' '-1' -> '69999999999999'
1779addx6166 add '7E+13' '1.11' -> '70000000000001.11'
1780addx6167 add '1.11' '7E+13' -> '70000000000001.11'
1781addx6168 add '-1' '7E+13' -> '69999999999999'
1782
1783-- 1234567890123456 1234567890123456 1 234567890123456
1784addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
1785addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
1786addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
1787addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
1788addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
1789addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
1790addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
1791addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
1792addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
1793addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
1794addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
1795addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
1796addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
1797addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
1798
1799-- and some more, including residue effects and different roundings
1800rounding: half_up
1801addx6200 add '6543210123456789' 0 -> '6543210123456789'
1802addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1803addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1804addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1805addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1806addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1807addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1808addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1809addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
1810addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
1811addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
1812addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
1813addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
1814addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
1815addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
1816addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
1817addx6216 add '6543210123456789' 1 -> '6543210123456790'
1818addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
1819addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1820addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1821
1822rounding: half_even
1823addx6220 add '6543210123456789' 0 -> '6543210123456789'
1824addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1825addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1826addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1827addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1828addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1829addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1830addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1831addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
1832addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
1833addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
1834addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
1835addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
1836addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
1837addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
1838addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
1839addx6236 add '6543210123456789' 1 -> '6543210123456790'
1840addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
1841addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1842addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1843-- critical few with even bottom digit...
1844addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
1845addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
1846addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
1847
1848rounding: down
1849addx6250 add '6543210123456789' 0 -> '6543210123456789'
1850addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1851addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1852addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1853addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1854addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1855addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1856addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1857addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
1858addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
1859addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
1860addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
1861addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
1862addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
1863addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
1864addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
1865addx6266 add '6543210123456789' 1 -> '6543210123456790'
1866addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
1867addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1868addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1869
1870-- 1 in last place tests
1871rounding: half_even
1872addx6301 add -1 1 -> 0
1873addx6302 add 0 1 -> 1
1874addx6303 add 1 1 -> 2
1875addx6304 add 12 1 -> 13
1876addx6305 add 98 1 -> 99
1877addx6306 add 99 1 -> 100
1878addx6307 add 100 1 -> 101
1879addx6308 add 101 1 -> 102
1880addx6309 add -1 -1 -> -2
1881addx6310 add 0 -1 -> -1
1882addx6311 add 1 -1 -> 0
1883addx6312 add 12 -1 -> 11
1884addx6313 add 98 -1 -> 97
1885addx6314 add 99 -1 -> 98
1886addx6315 add 100 -1 -> 99
1887addx6316 add 101 -1 -> 100
1888
1889addx6321 add -0.01 0.01 -> 0.00
1890addx6322 add 0.00 0.01 -> 0.01
1891addx6323 add 0.01 0.01 -> 0.02
1892addx6324 add 0.12 0.01 -> 0.13
1893addx6325 add 0.98 0.01 -> 0.99
1894addx6326 add 0.99 0.01 -> 1.00
1895addx6327 add 1.00 0.01 -> 1.01
1896addx6328 add 1.01 0.01 -> 1.02
1897addx6329 add -0.01 -0.01 -> -0.02
1898addx6330 add 0.00 -0.01 -> -0.01
1899addx6331 add 0.01 -0.01 -> 0.00
1900addx6332 add 0.12 -0.01 -> 0.11
1901addx6333 add 0.98 -0.01 -> 0.97
1902addx6334 add 0.99 -0.01 -> 0.98
1903addx6335 add 1.00 -0.01 -> 0.99
1904addx6336 add 1.01 -0.01 -> 1.00
1905
1906-- some more cases where adding 0 affects the coefficient
1907addx6340 add 1E+3 0 -> 1000
1908addx6341 add 1E+15 0 -> 1000000000000000
1909addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded
1910addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded
1911-- which simply follow from these cases ...
1912addx6344 add 1E+3 1 -> 1001
1913addx6345 add 1E+15 1 -> 1000000000000001
1914addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
1915addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
1916addx6348 add 1E+3 7 -> 1007
1917addx6349 add 1E+15 7 -> 1000000000000007
1918addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
1919addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
1920
1921-- tryzeros cases
1922addx6361 add 0E+50 10000E+1 -> 1.0000E+5
1923addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded
1924addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
1925addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded
1926
1927-- ulp replacement tests
1928addx6400 add 1 77e-14 -> 1.00000000000077
1929addx6401 add 1 77e-15 -> 1.000000000000077
1930addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded
1931addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded
1932addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded
1933addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded
1934addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded
1935
1936addx6410 add 10 77e-14 -> 10.00000000000077
1937addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded
1938addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded
1939addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded
1940addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded
1941addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded
1942addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded
1943
1944addx6420 add 77e-14 1 -> 1.00000000000077
1945addx6421 add 77e-15 1 -> 1.000000000000077
1946addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded
1947addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded
1948addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded
1949addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded
1950addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded
1951
1952addx6430 add 77e-14 10 -> 10.00000000000077
1953addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded
1954addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded
1955addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded
1956addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded
1957addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded
1958addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded
1959
1960-- negative ulps
1961addx6440 add 1 -77e-14 -> 0.99999999999923
1962addx6441 add 1 -77e-15 -> 0.999999999999923
1963addx6442 add 1 -77e-16 -> 0.9999999999999923
1964addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
1965addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
1966addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded
1967addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded
1968
1969addx6450 add 10 -77e-14 -> 9.99999999999923
1970addx6451 add 10 -77e-15 -> 9.999999999999923
1971addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded
1972addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded
1973addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded
1974addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded
1975addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded
1976
1977addx6460 add -77e-14 1 -> 0.99999999999923
1978addx6461 add -77e-15 1 -> 0.999999999999923
1979addx6462 add -77e-16 1 -> 0.9999999999999923
1980addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded
1981addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded
1982addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded
1983addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded
1984
1985addx6470 add -77e-14 10 -> 9.99999999999923
1986addx6471 add -77e-15 10 -> 9.999999999999923
1987addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded
1988addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded
1989addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded
1990addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded
1991addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded
1992
1993-- negative ulps
1994addx6480 add -1 77e-14 -> -0.99999999999923
1995addx6481 add -1 77e-15 -> -0.999999999999923
1996addx6482 add -1 77e-16 -> -0.9999999999999923
1997addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded
1998addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded
1999addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded
2000addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded
2001
2002addx6490 add -10 77e-14 -> -9.99999999999923
2003addx6491 add -10 77e-15 -> -9.999999999999923
2004addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded
2005addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded
2006addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded
2007addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded
2008addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded
2009
2010addx6500 add 77e-14 -1 -> -0.99999999999923
2011addx6501 add 77e-15 -1 -> -0.999999999999923
2012addx6502 add 77e-16 -1 -> -0.9999999999999923
2013addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
2014addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
2015addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded
2016addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded
2017
2018addx6510 add 77e-14 -10 -> -9.99999999999923
2019addx6511 add 77e-15 -10 -> -9.999999999999923
2020addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded
2021addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded
2022addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded
2023addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded
2024addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded
2025
2026
2027-- long operands
2028addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded
2029addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded
2030addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded
2031addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded
2032addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded
2033addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded
2034addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
2035addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
2036addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
2037addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
2038addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
2039addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
2040
2041-- verify a query
2042rounding: down
2043addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
2044addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
2045-- and using decimal64 bounds...
2046rounding: down
2047addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
2048addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
2049
2050-- more zeros, etc.
2051rounding: half_even
2052
2053addx6701 add 5.00 1.00E-3 -> 5.00100
2054addx6702 add 00.00 0.000 -> 0.000
2055addx6703 add 00.00 0E-3 -> 0.000
2056addx6704 add 0E-3 00.00 -> 0.000
2057
2058addx6710 add 0E+3 00.00 -> 0.00
2059addx6711 add 0E+3 00.0 -> 0.0
2060addx6712 add 0E+3 00. -> 0
2061addx6713 add 0E+3 00.E+1 -> 0E+1
2062addx6714 add 0E+3 00.E+2 -> 0E+2
2063addx6715 add 0E+3 00.E+3 -> 0E+3
2064addx6716 add 0E+3 00.E+4 -> 0E+3
2065addx6717 add 0E+3 00.E+5 -> 0E+3
2066addx6718 add 0E+3 -00.0 -> 0.0
2067addx6719 add 0E+3 -00. -> 0
2068addx6731 add 0E+3 -00.E+1 -> 0E+1
2069
2070addx6720 add 00.00 0E+3 -> 0.00
2071addx6721 add 00.0 0E+3 -> 0.0
2072addx6722 add 00. 0E+3 -> 0
2073addx6723 add 00.E+1 0E+3 -> 0E+1
2074addx6724 add 00.E+2 0E+3 -> 0E+2
2075addx6725 add 00.E+3 0E+3 -> 0E+3
2076addx6726 add 00.E+4 0E+3 -> 0E+3
2077addx6727 add 00.E+5 0E+3 -> 0E+3
2078addx6728 add -00.00 0E+3 -> 0.00
2079addx6729 add -00.0 0E+3 -> 0.0
2080addx6730 add -00. 0E+3 -> 0
2081
2082addx6732 add 0 0 -> 0
2083addx6733 add 0 -0 -> 0
2084addx6734 add -0 0 -> 0
2085addx6735 add -0 -0 -> -0 -- IEEE 854 special case
2086
2087addx6736 add 1 -1 -> 0
2088addx6737 add -1 -1 -> -2
2089addx6738 add 1 1 -> 2
2090addx6739 add -1 1 -> 0
2091
2092addx6741 add 0 -1 -> -1
2093addx6742 add -0 -1 -> -1
2094addx6743 add 0 1 -> 1
2095addx6744 add -0 1 -> 1
2096addx6745 add -1 0 -> -1
2097addx6746 add -1 -0 -> -1
2098addx6747 add 1 0 -> 1
2099addx6748 add 1 -0 -> 1
2100
2101addx6751 add 0.0 -1 -> -1.0
2102addx6752 add -0.0 -1 -> -1.0
2103addx6753 add 0.0 1 -> 1.0
2104addx6754 add -0.0 1 -> 1.0
2105addx6755 add -1.0 0 -> -1.0
2106addx6756 add -1.0 -0 -> -1.0
2107addx6757 add 1.0 0 -> 1.0
2108addx6758 add 1.0 -0 -> 1.0
2109
2110addx6761 add 0 -1.0 -> -1.0
2111addx6762 add -0 -1.0 -> -1.0
2112addx6763 add 0 1.0 -> 1.0
2113addx6764 add -0 1.0 -> 1.0
2114addx6765 add -1 0.0 -> -1.0
2115addx6766 add -1 -0.0 -> -1.0
2116addx6767 add 1 0.0 -> 1.0
2117addx6768 add 1 -0.0 -> 1.0
2118
2119addx6771 add 0.0 -1.0 -> -1.0
2120addx6772 add -0.0 -1.0 -> -1.0
2121addx6773 add 0.0 1.0 -> 1.0
2122addx6774 add -0.0 1.0 -> 1.0
2123addx6775 add -1.0 0.0 -> -1.0
2124addx6776 add -1.0 -0.0 -> -1.0
2125addx6777 add 1.0 0.0 -> 1.0
2126addx6778 add 1.0 -0.0 -> 1.0
2127
2128-- Specials
2129addx6780 add -Inf -Inf -> -Infinity
2130addx6781 add -Inf -1000 -> -Infinity
2131addx6782 add -Inf -1 -> -Infinity
2132addx6783 add -Inf -0 -> -Infinity
2133addx6784 add -Inf 0 -> -Infinity
2134addx6785 add -Inf 1 -> -Infinity
2135addx6786 add -Inf 1000 -> -Infinity
2136addx6787 add -1000 -Inf -> -Infinity
2137addx6788 add -Inf -Inf -> -Infinity
2138addx6789 add -1 -Inf -> -Infinity
2139addx6790 add -0 -Inf -> -Infinity
2140addx6791 add 0 -Inf -> -Infinity
2141addx6792 add 1 -Inf -> -Infinity
2142addx6793 add 1000 -Inf -> -Infinity
2143addx6794 add Inf -Inf -> NaN Invalid_operation
2144
2145addx6800 add Inf -Inf -> NaN Invalid_operation
2146addx6801 add Inf -1000 -> Infinity
2147addx6802 add Inf -1 -> Infinity
2148addx6803 add Inf -0 -> Infinity
2149addx6804 add Inf 0 -> Infinity
2150addx6805 add Inf 1 -> Infinity
2151addx6806 add Inf 1000 -> Infinity
2152addx6807 add Inf Inf -> Infinity
2153addx6808 add -1000 Inf -> Infinity
2154addx6809 add -Inf Inf -> NaN Invalid_operation
2155addx6810 add -1 Inf -> Infinity
2156addx6811 add -0 Inf -> Infinity
2157addx6812 add 0 Inf -> Infinity
2158addx6813 add 1 Inf -> Infinity
2159addx6814 add 1000 Inf -> Infinity
2160addx6815 add Inf Inf -> Infinity
2161
2162addx6821 add NaN -Inf -> NaN
2163addx6822 add NaN -1000 -> NaN
2164addx6823 add NaN -1 -> NaN
2165addx6824 add NaN -0 -> NaN
2166addx6825 add NaN 0 -> NaN
2167addx6826 add NaN 1 -> NaN
2168addx6827 add NaN 1000 -> NaN
2169addx6828 add NaN Inf -> NaN
2170addx6829 add NaN NaN -> NaN
2171addx6830 add -Inf NaN -> NaN
2172addx6831 add -1000 NaN -> NaN
2173addx6832 add -1 NaN -> NaN
2174addx6833 add -0 NaN -> NaN
2175addx6834 add 0 NaN -> NaN
2176addx6835 add 1 NaN -> NaN
2177addx6836 add 1000 NaN -> NaN
2178addx6837 add Inf NaN -> NaN
2179
2180addx6841 add sNaN -Inf -> NaN Invalid_operation
2181addx6842 add sNaN -1000 -> NaN Invalid_operation
2182addx6843 add sNaN -1 -> NaN Invalid_operation
2183addx6844 add sNaN -0 -> NaN Invalid_operation
2184addx6845 add sNaN 0 -> NaN Invalid_operation
2185addx6846 add sNaN 1 -> NaN Invalid_operation
2186addx6847 add sNaN 1000 -> NaN Invalid_operation
2187addx6848 add sNaN NaN -> NaN Invalid_operation
2188addx6849 add sNaN sNaN -> NaN Invalid_operation
2189addx6850 add NaN sNaN -> NaN Invalid_operation
2190addx6851 add -Inf sNaN -> NaN Invalid_operation
2191addx6852 add -1000 sNaN -> NaN Invalid_operation
2192addx6853 add -1 sNaN -> NaN Invalid_operation
2193addx6854 add -0 sNaN -> NaN Invalid_operation
2194addx6855 add 0 sNaN -> NaN Invalid_operation
2195addx6856 add 1 sNaN -> NaN Invalid_operation
2196addx6857 add 1000 sNaN -> NaN Invalid_operation
2197addx6858 add Inf sNaN -> NaN Invalid_operation
2198addx6859 add NaN sNaN -> NaN Invalid_operation
2199
2200-- propagating NaNs
2201addx6861 add NaN1 -Inf -> NaN1
2202addx6862 add +NaN2 -1000 -> NaN2
2203addx6863 add NaN3 1000 -> NaN3
2204addx6864 add NaN4 Inf -> NaN4
2205addx6865 add NaN5 +NaN6 -> NaN5
2206addx6866 add -Inf NaN7 -> NaN7
2207addx6867 add -1000 NaN8 -> NaN8
2208addx6868 add 1000 NaN9 -> NaN9
2209addx6869 add Inf +NaN10 -> NaN10
2210addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation
2211addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation
2212addx6873 add sNaN13 1000 -> NaN13 Invalid_operation
2213addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation
2214addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
2215addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation
2216addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation
2217addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation
2218addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation
2219addx6880 add Inf sNaN23 -> NaN23 Invalid_operation
2220addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
2221addx6882 add -NaN26 NaN28 -> -NaN26
2222addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
2223addx6884 add 1000 -NaN30 -> -NaN30
2224addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
2225
2226-- now the case where we can get underflow but the result is normal
2227-- [note this can't happen if the operands are also bounded, as we
2228-- cannot represent 1E-399, for example]
2229
2230addx6571 add 1E-383 0 -> 1E-383
2231addx6572 add 1E-384 0 -> 1E-384 Subnormal
2232addx6573 add 1E-383 1E-384 -> 1.1E-383
2233addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
2234
2235-- Here we explore the boundary of rounding a subnormal to Nmin
2236addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2237addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2238addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2239addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2240addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2241addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2242
2243-- check overflow edge case
2244-- 1234567890123456
2245addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
2246addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
2247addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
2248addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
2249addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
2250addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
2251addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
2252addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
2253addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
2254addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
2255addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
2256addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
2257addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
2258
2259addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
2260addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
2261addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
2262addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
2263addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
2264addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
2265addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
2266addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
2267addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
2268addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
2269addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
2270addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
2271addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
2272
2273-- And for round down full and subnormal results
2274rounding: down
2275addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
2276addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
2277addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
2278addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
2279addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
2280addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
2281addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
2282addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
2283addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
2284
2285rounding: ceiling
2286addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
2287addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
2288addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
2289addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
2290addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
2291addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
2292addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
2293addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
2294addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
2295
2296-- tests based on Gunnar Degnbol's edge case
2297rounding: half_even
2298
2299addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
2300addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
2301addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
2302addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
2303addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
2304addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
2305addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
2306addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
2307addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
2308addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
2309addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
2310addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
2311addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
2312addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
2313addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
2314addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
2315addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
2316addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
2317addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
2318addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
2319addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
2320addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
2321addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
2322addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
2323addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
2324addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
2325addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
2326addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
2327addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
2328addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
2329addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
2330
2331addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
2332addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
2333
2334addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
2335addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
2336addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
2337addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
2338addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
2339addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
2340addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
2341addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
2342addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
2343addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
2344addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
2345addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
2346addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
2347addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
2348addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
2349addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
2350addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
2351addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
2352addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
2353addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
2354addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
2355addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
2356addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
2357addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
2358addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
2359addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
2360addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
2361addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
2362addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
2363addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
2364addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
2365addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
2366addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
2367addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
2368addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
2369addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
2370addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
2371addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
2372addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
2373addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
2374addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
2375addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
2376addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
2377addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
2378addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
2379addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
2380addx61396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
2381
2382-- More GD edge cases, where difference between the unadjusted
2383-- exponents is larger than the maximum precision and one side is 0
2384addx61420 add 0 1.123456789012345 -> 1.123456789012345
2385addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345
2386addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345
2387addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345
2388addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
2389addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
2390addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
2391addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
2392addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
2393addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
2394addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
2395addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
2396addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
2397addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
2398addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
2399addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
2400addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
2401addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
2402addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
2403addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
2404
2405-- same, reversed 0
2406addx61440 add 1.123456789012345 0 -> 1.123456789012345
2407addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345
2408addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345
2409addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345
2410addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
2411addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
2412addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
2413addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
2414addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
2415addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
2416addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
2417addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
2418addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
2419addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
2420addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
2421addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
2422addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
2423addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
2424addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
2425addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
2426
2427-- same, Es on the 0
2428addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345
2429addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345
2430addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345
2431addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345
2432addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345
2433addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345
2434addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345
2435addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345
2436addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345
2437addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345
2438addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345
2439addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345
2440addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345
2441addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345
2442addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345
2443addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345
2444-- next four flag Rounded because the 0 extends the result
2445addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
2446addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
2447addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
2448addx61479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
2449
2450-- sum of two opposite-sign operands is exactly 0 and floor => -0
2451rounding: half_up
2452-- exact zeros from zeros
2453addx61500 add 0 0E-19 -> 0E-19
2454addx61501 add -0 0E-19 -> 0E-19
2455addx61502 add 0 -0E-19 -> 0E-19
2456addx61503 add -0 -0E-19 -> -0E-19
2457addx61504 add 0E-400 0E-19 -> 0E-398 Clamped
2458addx61505 add -0E-400 0E-19 -> 0E-398 Clamped
2459addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped
2460addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped
2461-- inexact zeros
2462addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2463addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2464addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2465addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2466-- some exact zeros from non-zeros
2467addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2468addx61516 add -1E-401 1E-401 -> 0E-398 Clamped
2469addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped
2470addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2471
2472rounding: half_down
2473-- exact zeros from zeros
2474addx61520 add 0 0E-19 -> 0E-19
2475addx61521 add -0 0E-19 -> 0E-19
2476addx61522 add 0 -0E-19 -> 0E-19
2477addx61523 add -0 -0E-19 -> -0E-19
2478addx61524 add 0E-400 0E-19 -> 0E-398 Clamped
2479addx61525 add -0E-400 0E-19 -> 0E-398 Clamped
2480addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped
2481addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped
2482-- inexact zeros
2483addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2484addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2485addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2486addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2487-- some exact zeros from non-zeros
2488addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2489addx61536 add -1E-401 1E-401 -> 0E-398 Clamped
2490addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped
2491addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2492
2493rounding: half_even
2494-- exact zeros from zeros
2495addx61540 add 0 0E-19 -> 0E-19
2496addx61541 add -0 0E-19 -> 0E-19
2497addx61542 add 0 -0E-19 -> 0E-19
2498addx61543 add -0 -0E-19 -> -0E-19
2499addx61544 add 0E-400 0E-19 -> 0E-398 Clamped
2500addx61545 add -0E-400 0E-19 -> 0E-398 Clamped
2501addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped
2502addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped
2503-- inexact zeros
2504addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2505addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2506addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2507addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2508-- some exact zeros from non-zeros
2509addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2510addx61556 add -1E-401 1E-401 -> 0E-398 Clamped
2511addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped
2512addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2513
2514rounding: up
2515-- exact zeros from zeros
2516addx61560 add 0 0E-19 -> 0E-19
2517addx61561 add -0 0E-19 -> 0E-19
2518addx61562 add 0 -0E-19 -> 0E-19
2519addx61563 add -0 -0E-19 -> -0E-19
2520addx61564 add 0E-400 0E-19 -> 0E-398 Clamped
2521addx61565 add -0E-400 0E-19 -> 0E-398 Clamped
2522addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped
2523addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped
2524-- inexact zeros
2525addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2526addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2527addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2528addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2529-- some exact zeros from non-zeros
2530addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2531addx61576 add -1E-401 1E-401 -> 0E-398 Clamped
2532addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped
2533addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2534
2535rounding: down
2536-- exact zeros from zeros
2537addx61580 add 0 0E-19 -> 0E-19
2538addx61581 add -0 0E-19 -> 0E-19
2539addx61582 add 0 -0E-19 -> 0E-19
2540addx61583 add -0 -0E-19 -> -0E-19
2541addx61584 add 0E-400 0E-19 -> 0E-398 Clamped
2542addx61585 add -0E-400 0E-19 -> 0E-398 Clamped
2543addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped
2544addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped
2545-- inexact zeros
2546addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2547addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2548addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2549addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2550-- some exact zeros from non-zeros
2551addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2552addx61596 add -1E-401 1E-401 -> 0E-398 Clamped
2553addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped
2554addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2555
2556rounding: ceiling
2557-- exact zeros from zeros
2558addx61600 add 0 0E-19 -> 0E-19
2559addx61601 add -0 0E-19 -> 0E-19
2560addx61602 add 0 -0E-19 -> 0E-19
2561addx61603 add -0 -0E-19 -> -0E-19
2562addx61604 add 0E-400 0E-19 -> 0E-398 Clamped
2563addx61605 add -0E-400 0E-19 -> 0E-398 Clamped
2564addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped
2565addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped
2566-- inexact zeros
2567addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2568addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2569addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2570addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2571-- some exact zeros from non-zeros
2572addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2573addx61616 add -1E-401 1E-401 -> 0E-398 Clamped
2574addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped
2575addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2576
2577-- and the extra-special ugly case; unusual minuses marked by -- *
2578rounding: floor
2579-- exact zeros from zeros
2580addx61620 add 0 0E-19 -> 0E-19
2581addx61621 add -0 0E-19 -> -0E-19 -- *
2582addx61622 add 0 -0E-19 -> -0E-19 -- *
2583addx61623 add -0 -0E-19 -> -0E-19
2584addx61624 add 0E-400 0E-19 -> 0E-398 Clamped
2585addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
2586addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
2587addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped
2588-- inexact zeros
2589addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2590addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2591addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2592addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2593-- some exact zeros from non-zeros
2594addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2595addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
2596addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
2597addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2598
2599-- Examples from SQL proposal (Krishna Kulkarni)
2600addx61701 add 130E-2 120E-2 -> 2.50
2601addx61702 add 130E-2 12E-1 -> 2.50
2602addx61703 add 130E-2 1E0 -> 2.30
2603addx61704 add 1E2 1E4 -> 1.01E+4
2604addx61705 subtract 130E-2 120E-2 -> 0.10
2605addx61706 subtract 130E-2 12E-1 -> 0.10
2606addx61707 subtract 130E-2 1E0 -> 0.30
2607addx61708 subtract 1E2 1E4 -> -9.9E+3
2608
2609-- Gappy coefficients; check residue handling even with full coefficient gap
2610rounding: half_even
2611
2612addx62001 add 1234567890123456 1 -> 1234567890123457
2613addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
2614addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
2615addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
2616addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
2617addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
2618addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
2619addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
2620addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
2621addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
2622addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
2623addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
2624addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
2625addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
2626addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
2627addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
2628addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
2629addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
2630addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
2631addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
2632addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
2633
2634-- widening second argument at gap
2635addx62030 add 12345678 1 -> 12345679
2636addx62031 add 12345678 0.1 -> 12345678.1
2637addx62032 add 12345678 0.12 -> 12345678.12
2638addx62033 add 12345678 0.123 -> 12345678.123
2639addx62034 add 12345678 0.1234 -> 12345678.1234
2640addx62035 add 12345678 0.12345 -> 12345678.12345
2641addx62036 add 12345678 0.123456 -> 12345678.123456
2642addx62037 add 12345678 0.1234567 -> 12345678.1234567
2643addx62038 add 12345678 0.12345678 -> 12345678.12345678
2644addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
2645addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
2646addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
2647addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
2648addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
2649addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
2650addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
2651addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
2652addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
2653addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
2654addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
2655-- 90123456
2656rounding: half_even
2657addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
2658addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
2659addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
2660addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
2661addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
2662addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
2663addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
2664addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
2665addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
2666addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
2667addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
2668addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
2669addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
2670addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
2671addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
2672addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
2673-- far-out residues (full coefficient gap is 16+15 digits)
2674rounding: up
2675addx62070 add 12345678 1E-8 -> 12345678.00000001
2676addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
2677addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
2678addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
2679addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
2680addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
2681addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
2682addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
2683addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
2684addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
2685addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
2686addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
2687addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
2688addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
2689addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
2690addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
2691addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
2692addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
2693addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
2694addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
2695
2696-- payload decapitate
2697precision: 5
2698addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation
2699addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation
2700addx62102 add 11 NaN123456789 -> NaN56789
2701addx62103 add -11 -NaN123456789 -> -NaN56789
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00002702
2703-- Null tests
2704addx9990 add 10 # -> NaN Invalid_operation
2705addx9991 add # 10 -> NaN Invalid_operation