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Facundo Batista353750c2007-09-13 18:13:15 +00001------------------------------------------------------------------------
2-- ddAdd.decTest -- decDouble addition --
3-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. --
4------------------------------------------------------------------------
5-- Please see the document "General Decimal Arithmetic Testcases" --
6-- at http://www2.hursley.ibm.com/decimal for the description of --
7-- these testcases. --
8-- --
9-- These testcases are experimental ('beta' versions), and they --
10-- may contain errors. They are offered on an as-is basis. In --
11-- particular, achieving the same results as the tests here is not --
12-- a guarantee that an implementation complies with any Standard --
13-- or specification. The tests are not exhaustive. --
14-- --
15-- Please send comments, suggestions, and corrections to the author: --
16-- Mike Cowlishaw, IBM Fellow --
17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
18-- mfc@uk.ibm.com --
19------------------------------------------------------------------------
20version: 2.56
21
22-- This set of tests are for decDoubles only; all arguments are
23-- representable in a decDouble
24precision: 16
25maxExponent: 384
26minExponent: -383
27extended: 1
28clamp: 1
29rounding: half_even
30
31-- [first group are 'quick confidence check']
32ddadd001 add 1 1 -> 2
33ddadd002 add 2 3 -> 5
34ddadd003 add '5.75' '3.3' -> 9.05
35ddadd004 add '5' '-3' -> 2
36ddadd005 add '-5' '-3' -> -8
37ddadd006 add '-7' '2.5' -> -4.5
38ddadd007 add '0.7' '0.3' -> 1.0
39ddadd008 add '1.25' '1.25' -> 2.50
40ddadd009 add '1.23456789' '1.00000000' -> '2.23456789'
41ddadd010 add '1.23456789' '1.00000011' -> '2.23456800'
42
43-- 1234567890123456 1234567890123456
44ddadd011 add '0.4444444444444446' '0.5555555555555555' -> '1.000000000000000' Inexact Rounded
45ddadd012 add '0.4444444444444445' '0.5555555555555555' -> '1.000000000000000' Rounded
46ddadd013 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
47ddadd014 add '4444444444444444' '0.49' -> '4444444444444444' Inexact Rounded
48ddadd015 add '4444444444444444' '0.499' -> '4444444444444444' Inexact Rounded
49ddadd016 add '4444444444444444' '0.4999' -> '4444444444444444' Inexact Rounded
50ddadd017 add '4444444444444444' '0.5000' -> '4444444444444444' Inexact Rounded
51ddadd018 add '4444444444444444' '0.5001' -> '4444444444444445' Inexact Rounded
52ddadd019 add '4444444444444444' '0.501' -> '4444444444444445' Inexact Rounded
53ddadd020 add '4444444444444444' '0.51' -> '4444444444444445' Inexact Rounded
54
55ddadd021 add 0 1 -> 1
56ddadd022 add 1 1 -> 2
57ddadd023 add 2 1 -> 3
58ddadd024 add 3 1 -> 4
59ddadd025 add 4 1 -> 5
60ddadd026 add 5 1 -> 6
61ddadd027 add 6 1 -> 7
62ddadd028 add 7 1 -> 8
63ddadd029 add 8 1 -> 9
64ddadd030 add 9 1 -> 10
65
66-- some carrying effects
67ddadd031 add '0.9998' '0.0000' -> '0.9998'
68ddadd032 add '0.9998' '0.0001' -> '0.9999'
69ddadd033 add '0.9998' '0.0002' -> '1.0000'
70ddadd034 add '0.9998' '0.0003' -> '1.0001'
71
72ddadd035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
73ddadd036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
74ddadd037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
75ddadd038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
76ddadd039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
77
78-- symmetry:
79ddadd040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
80ddadd041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
81ddadd042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
82ddadd044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
83ddadd045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
84
85-- same, without rounding
86ddadd046 add '10000e+9' '7' -> '10000000000007'
87ddadd047 add '10000e+9' '70' -> '10000000000070'
88ddadd048 add '10000e+9' '700' -> '10000000000700'
89ddadd049 add '10000e+9' '7000' -> '10000000007000'
90ddadd050 add '10000e+9' '70000' -> '10000000070000'
91ddadd051 add '10000e+9' '700000' -> '10000000700000'
92ddadd052 add '10000e+9' '7000000' -> '10000007000000'
93
94-- examples from decarith
95ddadd053 add '12' '7.00' -> '19.00'
96ddadd054 add '1.3' '-1.07' -> '0.23'
97ddadd055 add '1.3' '-1.30' -> '0.00'
98ddadd056 add '1.3' '-2.07' -> '-0.77'
99ddadd057 add '1E+2' '1E+4' -> '1.01E+4'
100
101-- leading zero preservation
102ddadd061 add 1 '0.0001' -> '1.0001'
103ddadd062 add 1 '0.00001' -> '1.00001'
104ddadd063 add 1 '0.000001' -> '1.000001'
105ddadd064 add 1 '0.0000001' -> '1.0000001'
106ddadd065 add 1 '0.00000001' -> '1.00000001'
107
108-- some funny zeros [in case of bad signum]
109ddadd070 add 1 0 -> 1
110ddadd071 add 1 0. -> 1
111ddadd072 add 1 .0 -> 1.0
112ddadd073 add 1 0.0 -> 1.0
113ddadd074 add 1 0.00 -> 1.00
114ddadd075 add 0 1 -> 1
115ddadd076 add 0. 1 -> 1
116ddadd077 add .0 1 -> 1.0
117ddadd078 add 0.0 1 -> 1.0
118ddadd079 add 0.00 1 -> 1.00
119
120-- some carries
121ddadd080 add 999999998 1 -> 999999999
122ddadd081 add 999999999 1 -> 1000000000
123ddadd082 add 99999999 1 -> 100000000
124ddadd083 add 9999999 1 -> 10000000
125ddadd084 add 999999 1 -> 1000000
126ddadd085 add 99999 1 -> 100000
127ddadd086 add 9999 1 -> 10000
128ddadd087 add 999 1 -> 1000
129ddadd088 add 99 1 -> 100
130ddadd089 add 9 1 -> 10
131
132
133-- more LHS swaps
134ddadd090 add '-56267E-10' 0 -> '-0.0000056267'
135ddadd091 add '-56267E-6' 0 -> '-0.056267'
136ddadd092 add '-56267E-5' 0 -> '-0.56267'
137ddadd093 add '-56267E-4' 0 -> '-5.6267'
138ddadd094 add '-56267E-3' 0 -> '-56.267'
139ddadd095 add '-56267E-2' 0 -> '-562.67'
140ddadd096 add '-56267E-1' 0 -> '-5626.7'
141ddadd097 add '-56267E-0' 0 -> '-56267'
142ddadd098 add '-5E-10' 0 -> '-5E-10'
143ddadd099 add '-5E-7' 0 -> '-5E-7'
144ddadd100 add '-5E-6' 0 -> '-0.000005'
145ddadd101 add '-5E-5' 0 -> '-0.00005'
146ddadd102 add '-5E-4' 0 -> '-0.0005'
147ddadd103 add '-5E-1' 0 -> '-0.5'
148ddadd104 add '-5E0' 0 -> '-5'
149ddadd105 add '-5E1' 0 -> '-50'
150ddadd106 add '-5E5' 0 -> '-500000'
151ddadd107 add '-5E15' 0 -> '-5000000000000000'
152ddadd108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded
153ddadd109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded
154ddadd110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded
155ddadd111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded
156
157-- more RHS swaps
158ddadd113 add 0 '-56267E-10' -> '-0.0000056267'
159ddadd114 add 0 '-56267E-6' -> '-0.056267'
160ddadd116 add 0 '-56267E-5' -> '-0.56267'
161ddadd117 add 0 '-56267E-4' -> '-5.6267'
162ddadd119 add 0 '-56267E-3' -> '-56.267'
163ddadd120 add 0 '-56267E-2' -> '-562.67'
164ddadd121 add 0 '-56267E-1' -> '-5626.7'
165ddadd122 add 0 '-56267E-0' -> '-56267'
166ddadd123 add 0 '-5E-10' -> '-5E-10'
167ddadd124 add 0 '-5E-7' -> '-5E-7'
168ddadd125 add 0 '-5E-6' -> '-0.000005'
169ddadd126 add 0 '-5E-5' -> '-0.00005'
170ddadd127 add 0 '-5E-4' -> '-0.0005'
171ddadd128 add 0 '-5E-1' -> '-0.5'
172ddadd129 add 0 '-5E0' -> '-5'
173ddadd130 add 0 '-5E1' -> '-50'
174ddadd131 add 0 '-5E5' -> '-500000'
175ddadd132 add 0 '-5E15' -> '-5000000000000000'
176ddadd133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded
177ddadd134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded
178ddadd135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded
179ddadd136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded
180
181-- related
182ddadd137 add 1 '0E-19' -> '1.000000000000000' Rounded
183ddadd138 add -1 '0E-19' -> '-1.000000000000000' Rounded
184ddadd139 add '0E-19' 1 -> '1.000000000000000' Rounded
185ddadd140 add '0E-19' -1 -> '-1.000000000000000' Rounded
186ddadd141 add 1E+11 0.0000 -> '100000000000.0000'
187ddadd142 add 1E+11 0.00000 -> '100000000000.0000' Rounded
188ddadd143 add 0.000 1E+12 -> '1000000000000.000'
189ddadd144 add 0.0000 1E+12 -> '1000000000000.000' Rounded
190
191-- [some of the next group are really constructor tests]
192ddadd146 add '00.0' 0 -> '0.0'
193ddadd147 add '0.00' 0 -> '0.00'
194ddadd148 add 0 '0.00' -> '0.00'
195ddadd149 add 0 '00.0' -> '0.0'
196ddadd150 add '00.0' '0.00' -> '0.00'
197ddadd151 add '0.00' '00.0' -> '0.00'
198ddadd152 add '3' '.3' -> '3.3'
199ddadd153 add '3.' '.3' -> '3.3'
200ddadd154 add '3.0' '.3' -> '3.3'
201ddadd155 add '3.00' '.3' -> '3.30'
202ddadd156 add '3' '3' -> '6'
203ddadd157 add '3' '+3' -> '6'
204ddadd158 add '3' '-3' -> '0'
205ddadd159 add '0.3' '-0.3' -> '0.0'
206ddadd160 add '0.03' '-0.03' -> '0.00'
207
208-- try borderline precision, with carries, etc.
209ddadd161 add '1E+12' '-1' -> '999999999999'
210ddadd162 add '1E+12' '1.11' -> '1000000000001.11'
211ddadd163 add '1.11' '1E+12' -> '1000000000001.11'
212ddadd164 add '-1' '1E+12' -> '999999999999'
213ddadd165 add '7E+12' '-1' -> '6999999999999'
214ddadd166 add '7E+12' '1.11' -> '7000000000001.11'
215ddadd167 add '1.11' '7E+12' -> '7000000000001.11'
216ddadd168 add '-1' '7E+12' -> '6999999999999'
217
218rounding: half_up
219-- 1.234567890123456 1234567890123456 1 234567890123456
220ddadd170 add '4.444444444444444' '0.5555555555555567' -> '5.000000000000001' Inexact Rounded
221ddadd171 add '4.444444444444444' '0.5555555555555566' -> '5.000000000000001' Inexact Rounded
222ddadd172 add '4.444444444444444' '0.5555555555555565' -> '5.000000000000001' Inexact Rounded
223ddadd173 add '4.444444444444444' '0.5555555555555564' -> '5.000000000000000' Inexact Rounded
224ddadd174 add '4.444444444444444' '0.5555555555555553' -> '4.999999999999999' Inexact Rounded
225ddadd175 add '4.444444444444444' '0.5555555555555552' -> '4.999999999999999' Inexact Rounded
226ddadd176 add '4.444444444444444' '0.5555555555555551' -> '4.999999999999999' Inexact Rounded
227ddadd177 add '4.444444444444444' '0.5555555555555550' -> '4.999999999999999' Rounded
228ddadd178 add '4.444444444444444' '0.5555555555555545' -> '4.999999999999999' Inexact Rounded
229ddadd179 add '4.444444444444444' '0.5555555555555544' -> '4.999999999999998' Inexact Rounded
230ddadd180 add '4.444444444444444' '0.5555555555555543' -> '4.999999999999998' Inexact Rounded
231ddadd181 add '4.444444444444444' '0.5555555555555542' -> '4.999999999999998' Inexact Rounded
232ddadd182 add '4.444444444444444' '0.5555555555555541' -> '4.999999999999998' Inexact Rounded
233ddadd183 add '4.444444444444444' '0.5555555555555540' -> '4.999999999999998' Rounded
234
235-- and some more, including residue effects and different roundings
236rounding: half_up
237ddadd200 add '1234560123456789' 0 -> '1234560123456789'
238ddadd201 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
239ddadd202 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
240ddadd203 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
241ddadd204 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
242ddadd205 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
243ddadd206 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
244ddadd207 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
245ddadd208 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded
246ddadd209 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded
247ddadd210 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded
248ddadd211 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded
249ddadd212 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded
250ddadd213 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded
251ddadd214 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded
252ddadd215 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded
253ddadd216 add '1234560123456789' 1 -> '1234560123456790'
254ddadd217 add '1234560123456789' 1.000000001 -> '1234560123456790' Inexact Rounded
255ddadd218 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
256ddadd219 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
257
258rounding: half_even
259ddadd220 add '1234560123456789' 0 -> '1234560123456789'
260ddadd221 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
261ddadd222 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
262ddadd223 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
263ddadd224 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
264ddadd225 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
265ddadd226 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
266ddadd227 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
267ddadd228 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded
268ddadd229 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded
269ddadd230 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded
270ddadd231 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded
271ddadd232 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded
272ddadd233 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded
273ddadd234 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded
274ddadd235 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded
275ddadd236 add '1234560123456789' 1 -> '1234560123456790'
276ddadd237 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded
277ddadd238 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
278ddadd239 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
279-- critical few with even bottom digit...
280ddadd240 add '1234560123456788' 0.499999999 -> '1234560123456788' Inexact Rounded
281ddadd241 add '1234560123456788' 0.5 -> '1234560123456788' Inexact Rounded
282ddadd242 add '1234560123456788' 0.500000001 -> '1234560123456789' Inexact Rounded
283
284rounding: down
285ddadd250 add '1234560123456789' 0 -> '1234560123456789'
286ddadd251 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
287ddadd252 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
288ddadd253 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
289ddadd254 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
290ddadd255 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
291ddadd256 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
292ddadd257 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
293ddadd258 add '1234560123456789' 0.5 -> '1234560123456789' Inexact Rounded
294ddadd259 add '1234560123456789' 0.500000001 -> '1234560123456789' Inexact Rounded
295ddadd260 add '1234560123456789' 0.500001 -> '1234560123456789' Inexact Rounded
296ddadd261 add '1234560123456789' 0.51 -> '1234560123456789' Inexact Rounded
297ddadd262 add '1234560123456789' 0.6 -> '1234560123456789' Inexact Rounded
298ddadd263 add '1234560123456789' 0.9 -> '1234560123456789' Inexact Rounded
299ddadd264 add '1234560123456789' 0.99999 -> '1234560123456789' Inexact Rounded
300ddadd265 add '1234560123456789' 0.999999999 -> '1234560123456789' Inexact Rounded
301ddadd266 add '1234560123456789' 1 -> '1234560123456790'
302ddadd267 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded
303ddadd268 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
304ddadd269 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
305
306-- 1 in last place tests
307rounding: half_up
308ddadd301 add -1 1 -> 0
309ddadd302 add 0 1 -> 1
310ddadd303 add 1 1 -> 2
311ddadd304 add 12 1 -> 13
312ddadd305 add 98 1 -> 99
313ddadd306 add 99 1 -> 100
314ddadd307 add 100 1 -> 101
315ddadd308 add 101 1 -> 102
316ddadd309 add -1 -1 -> -2
317ddadd310 add 0 -1 -> -1
318ddadd311 add 1 -1 -> 0
319ddadd312 add 12 -1 -> 11
320ddadd313 add 98 -1 -> 97
321ddadd314 add 99 -1 -> 98
322ddadd315 add 100 -1 -> 99
323ddadd316 add 101 -1 -> 100
324
325ddadd321 add -0.01 0.01 -> 0.00
326ddadd322 add 0.00 0.01 -> 0.01
327ddadd323 add 0.01 0.01 -> 0.02
328ddadd324 add 0.12 0.01 -> 0.13
329ddadd325 add 0.98 0.01 -> 0.99
330ddadd326 add 0.99 0.01 -> 1.00
331ddadd327 add 1.00 0.01 -> 1.01
332ddadd328 add 1.01 0.01 -> 1.02
333ddadd329 add -0.01 -0.01 -> -0.02
334ddadd330 add 0.00 -0.01 -> -0.01
335ddadd331 add 0.01 -0.01 -> 0.00
336ddadd332 add 0.12 -0.01 -> 0.11
337ddadd333 add 0.98 -0.01 -> 0.97
338ddadd334 add 0.99 -0.01 -> 0.98
339ddadd335 add 1.00 -0.01 -> 0.99
340ddadd336 add 1.01 -0.01 -> 1.00
341
342-- some more cases where adding 0 affects the coefficient
343ddadd340 add 1E+3 0 -> 1000
344ddadd341 add 1E+15 0 -> 1000000000000000
345ddadd342 add 1E+16 0 -> 1.000000000000000E+16 Rounded
346ddadd343 add 1E+20 0 -> 1.000000000000000E+20 Rounded
347-- which simply follow from these cases ...
348ddadd344 add 1E+3 1 -> 1001
349ddadd345 add 1E+15 1 -> 1000000000000001
350ddadd346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
351ddadd347 add 1E+20 1 -> 1.000000000000000E+20 Inexact Rounded
352ddadd348 add 1E+3 7 -> 1007
353ddadd349 add 1E+15 7 -> 1000000000000007
354ddadd350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
355ddadd351 add 1E+20 7 -> 1.000000000000000E+20 Inexact Rounded
356
357-- tryzeros cases
358rounding: half_up
359ddadd360 add 0E+50 10000E+1 -> 1.0000E+5
360ddadd361 add 0E-50 10000E+1 -> 100000.0000000000 Rounded
361ddadd362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded
362ddadd363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
363ddadd364 add 9.999999999999999E+384 -9.999999999999999E+384 -> 0E+369
364
365-- a curiosity from JSR 13 testing
366rounding: half_down
367ddadd370 add 999999999999999 815 -> 1000000000000814
368ddadd371 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
369rounding: half_up
370ddadd372 add 999999999999999 815 -> 1000000000000814
371ddadd373 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
372rounding: half_even
373ddadd374 add 999999999999999 815 -> 1000000000000814
374ddadd375 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
375
376-- operands folded
377ddadd380 add 1E+384 1E+384 -> 2.000000000000000E+384 Clamped
378ddadd381 add 1E+380 1E+380 -> 2.00000000000E+380 Clamped
379ddadd382 add 1E+376 1E+376 -> 2.0000000E+376 Clamped
380ddadd383 add 1E+372 1E+372 -> 2.000E+372 Clamped
381ddadd384 add 1E+370 1E+370 -> 2.0E+370 Clamped
382ddadd385 add 1E+369 1E+369 -> 2E+369
383ddadd386 add 1E+368 1E+368 -> 2E+368
384
385-- ulp replacement tests
386ddadd400 add 1 77e-14 -> 1.00000000000077
387ddadd401 add 1 77e-15 -> 1.000000000000077
388ddadd402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded
389ddadd403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded
390ddadd404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded
391ddadd405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded
392ddadd406 add 1 77e-299 -> 1.000000000000000 Inexact Rounded
393
394ddadd410 add 10 77e-14 -> 10.00000000000077
395ddadd411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded
396ddadd412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded
397ddadd413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded
398ddadd414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded
399ddadd415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded
400ddadd416 add 10 77e-299 -> 10.00000000000000 Inexact Rounded
401
402ddadd420 add 77e-14 1 -> 1.00000000000077
403ddadd421 add 77e-15 1 -> 1.000000000000077
404ddadd422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded
405ddadd423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded
406ddadd424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded
407ddadd425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded
408ddadd426 add 77e-299 1 -> 1.000000000000000 Inexact Rounded
409
410ddadd430 add 77e-14 10 -> 10.00000000000077
411ddadd431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded
412ddadd432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded
413ddadd433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded
414ddadd434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded
415ddadd435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded
416ddadd436 add 77e-299 10 -> 10.00000000000000 Inexact Rounded
417
418-- negative ulps
419ddadd6440 add 1 -77e-14 -> 0.99999999999923
420ddadd6441 add 1 -77e-15 -> 0.999999999999923
421ddadd6442 add 1 -77e-16 -> 0.9999999999999923
422ddadd6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
423ddadd6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
424ddadd6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded
425ddadd6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded
426
427ddadd6450 add 10 -77e-14 -> 9.99999999999923
428ddadd6451 add 10 -77e-15 -> 9.999999999999923
429ddadd6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded
430ddadd6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded
431ddadd6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded
432ddadd6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded
433ddadd6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded
434
435ddadd6460 add -77e-14 1 -> 0.99999999999923
436ddadd6461 add -77e-15 1 -> 0.999999999999923
437ddadd6462 add -77e-16 1 -> 0.9999999999999923
438ddadd6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded
439ddadd6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded
440ddadd6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded
441ddadd6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded
442
443ddadd6470 add -77e-14 10 -> 9.99999999999923
444ddadd6471 add -77e-15 10 -> 9.999999999999923
445ddadd6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded
446ddadd6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded
447ddadd6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded
448ddadd6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded
449ddadd6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded
450
451-- negative ulps
452ddadd6480 add -1 77e-14 -> -0.99999999999923
453ddadd6481 add -1 77e-15 -> -0.999999999999923
454ddadd6482 add -1 77e-16 -> -0.9999999999999923
455ddadd6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded
456ddadd6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded
457ddadd6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded
458ddadd6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded
459
460ddadd6490 add -10 77e-14 -> -9.99999999999923
461ddadd6491 add -10 77e-15 -> -9.999999999999923
462ddadd6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded
463ddadd6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded
464ddadd6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded
465ddadd6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded
466ddadd6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded
467
468ddadd6500 add 77e-14 -1 -> -0.99999999999923
469ddadd6501 add 77e-15 -1 -> -0.999999999999923
470ddadd6502 add 77e-16 -1 -> -0.9999999999999923
471ddadd6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
472ddadd6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
473ddadd6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded
474ddadd6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded
475
476ddadd6510 add 77e-14 -10 -> -9.99999999999923
477ddadd6511 add 77e-15 -10 -> -9.999999999999923
478ddadd6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded
479ddadd6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded
480ddadd6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded
481ddadd6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded
482ddadd6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded
483
484-- and some more residue effects and different roundings
485rounding: half_up
486ddadd6540 add '6543210123456789' 0 -> '6543210123456789'
487ddadd6541 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
488ddadd6542 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
489ddadd6543 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
490ddadd6544 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
491ddadd6545 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
492ddadd6546 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
493ddadd6547 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
494ddadd6548 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
495ddadd6549 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
496ddadd6550 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
497ddadd6551 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
498ddadd6552 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
499ddadd6553 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
500ddadd6554 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
501ddadd6555 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
502ddadd6556 add '6543210123456789' 1 -> '6543210123456790'
503ddadd6557 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
504ddadd6558 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
505ddadd6559 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
506
507rounding: half_even
508ddadd6560 add '6543210123456789' 0 -> '6543210123456789'
509ddadd6561 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
510ddadd6562 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
511ddadd6563 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
512ddadd6564 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
513ddadd6565 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
514ddadd6566 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
515ddadd6567 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
516ddadd6568 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
517ddadd6569 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
518ddadd6570 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
519ddadd6571 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
520ddadd6572 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
521ddadd6573 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
522ddadd6574 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
523ddadd6575 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
524ddadd6576 add '6543210123456789' 1 -> '6543210123456790'
525ddadd6577 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
526ddadd6578 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
527ddadd6579 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
528
529-- critical few with even bottom digit...
530ddadd7540 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
531ddadd7541 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
532ddadd7542 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
533
534rounding: down
535ddadd7550 add '6543210123456789' 0 -> '6543210123456789'
536ddadd7551 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
537ddadd7552 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
538ddadd7553 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
539ddadd7554 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
540ddadd7555 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
541ddadd7556 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
542ddadd7557 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
543ddadd7558 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
544ddadd7559 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
545ddadd7560 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
546ddadd7561 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
547ddadd7562 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
548ddadd7563 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
549ddadd7564 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
550ddadd7565 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
551ddadd7566 add '6543210123456789' 1 -> '6543210123456790'
552ddadd7567 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
553ddadd7568 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
554ddadd7569 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
555
556-- verify a query
557rounding: down
558ddadd7661 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
559ddadd7662 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
560ddadd7663 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
561ddadd7664 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
562
563-- more zeros, etc.
564rounding: half_even
565
566ddadd7701 add 5.00 1.00E-3 -> 5.00100
567ddadd7702 add 00.00 0.000 -> 0.000
568ddadd7703 add 00.00 0E-3 -> 0.000
569ddadd7704 add 0E-3 00.00 -> 0.000
570
571ddadd7710 add 0E+3 00.00 -> 0.00
572ddadd7711 add 0E+3 00.0 -> 0.0
573ddadd7712 add 0E+3 00. -> 0
574ddadd7713 add 0E+3 00.E+1 -> 0E+1
575ddadd7714 add 0E+3 00.E+2 -> 0E+2
576ddadd7715 add 0E+3 00.E+3 -> 0E+3
577ddadd7716 add 0E+3 00.E+4 -> 0E+3
578ddadd7717 add 0E+3 00.E+5 -> 0E+3
579ddadd7718 add 0E+3 -00.0 -> 0.0
580ddadd7719 add 0E+3 -00. -> 0
581ddadd7731 add 0E+3 -00.E+1 -> 0E+1
582
583ddadd7720 add 00.00 0E+3 -> 0.00
584ddadd7721 add 00.0 0E+3 -> 0.0
585ddadd7722 add 00. 0E+3 -> 0
586ddadd7723 add 00.E+1 0E+3 -> 0E+1
587ddadd7724 add 00.E+2 0E+3 -> 0E+2
588ddadd7725 add 00.E+3 0E+3 -> 0E+3
589ddadd7726 add 00.E+4 0E+3 -> 0E+3
590ddadd7727 add 00.E+5 0E+3 -> 0E+3
591ddadd7728 add -00.00 0E+3 -> 0.00
592ddadd7729 add -00.0 0E+3 -> 0.0
593ddadd7730 add -00. 0E+3 -> 0
594
595ddadd7732 add 0 0 -> 0
596ddadd7733 add 0 -0 -> 0
597ddadd7734 add -0 0 -> 0
598ddadd7735 add -0 -0 -> -0 -- IEEE 854 special case
599
600ddadd7736 add 1 -1 -> 0
601ddadd7737 add -1 -1 -> -2
602ddadd7738 add 1 1 -> 2
603ddadd7739 add -1 1 -> 0
604
605ddadd7741 add 0 -1 -> -1
606ddadd7742 add -0 -1 -> -1
607ddadd7743 add 0 1 -> 1
608ddadd7744 add -0 1 -> 1
609ddadd7745 add -1 0 -> -1
610ddadd7746 add -1 -0 -> -1
611ddadd7747 add 1 0 -> 1
612ddadd7748 add 1 -0 -> 1
613
614ddadd7751 add 0.0 -1 -> -1.0
615ddadd7752 add -0.0 -1 -> -1.0
616ddadd7753 add 0.0 1 -> 1.0
617ddadd7754 add -0.0 1 -> 1.0
618ddadd7755 add -1.0 0 -> -1.0
619ddadd7756 add -1.0 -0 -> -1.0
620ddadd7757 add 1.0 0 -> 1.0
621ddadd7758 add 1.0 -0 -> 1.0
622
623ddadd7761 add 0 -1.0 -> -1.0
624ddadd7762 add -0 -1.0 -> -1.0
625ddadd7763 add 0 1.0 -> 1.0
626ddadd7764 add -0 1.0 -> 1.0
627ddadd7765 add -1 0.0 -> -1.0
628ddadd7766 add -1 -0.0 -> -1.0
629ddadd7767 add 1 0.0 -> 1.0
630ddadd7768 add 1 -0.0 -> 1.0
631
632ddadd7771 add 0.0 -1.0 -> -1.0
633ddadd7772 add -0.0 -1.0 -> -1.0
634ddadd7773 add 0.0 1.0 -> 1.0
635ddadd7774 add -0.0 1.0 -> 1.0
636ddadd7775 add -1.0 0.0 -> -1.0
637ddadd7776 add -1.0 -0.0 -> -1.0
638ddadd7777 add 1.0 0.0 -> 1.0
639ddadd7778 add 1.0 -0.0 -> 1.0
640
641-- Specials
642ddadd7780 add -Inf -Inf -> -Infinity
643ddadd7781 add -Inf -1000 -> -Infinity
644ddadd7782 add -Inf -1 -> -Infinity
645ddadd7783 add -Inf -0 -> -Infinity
646ddadd7784 add -Inf 0 -> -Infinity
647ddadd7785 add -Inf 1 -> -Infinity
648ddadd7786 add -Inf 1000 -> -Infinity
649ddadd7787 add -1000 -Inf -> -Infinity
650ddadd7788 add -Inf -Inf -> -Infinity
651ddadd7789 add -1 -Inf -> -Infinity
652ddadd7790 add -0 -Inf -> -Infinity
653ddadd7791 add 0 -Inf -> -Infinity
654ddadd7792 add 1 -Inf -> -Infinity
655ddadd7793 add 1000 -Inf -> -Infinity
656ddadd7794 add Inf -Inf -> NaN Invalid_operation
657
658ddadd7800 add Inf -Inf -> NaN Invalid_operation
659ddadd7801 add Inf -1000 -> Infinity
660ddadd7802 add Inf -1 -> Infinity
661ddadd7803 add Inf -0 -> Infinity
662ddadd7804 add Inf 0 -> Infinity
663ddadd7805 add Inf 1 -> Infinity
664ddadd7806 add Inf 1000 -> Infinity
665ddadd7807 add Inf Inf -> Infinity
666ddadd7808 add -1000 Inf -> Infinity
667ddadd7809 add -Inf Inf -> NaN Invalid_operation
668ddadd7810 add -1 Inf -> Infinity
669ddadd7811 add -0 Inf -> Infinity
670ddadd7812 add 0 Inf -> Infinity
671ddadd7813 add 1 Inf -> Infinity
672ddadd7814 add 1000 Inf -> Infinity
673ddadd7815 add Inf Inf -> Infinity
674
675ddadd7821 add NaN -Inf -> NaN
676ddadd7822 add NaN -1000 -> NaN
677ddadd7823 add NaN -1 -> NaN
678ddadd7824 add NaN -0 -> NaN
679ddadd7825 add NaN 0 -> NaN
680ddadd7826 add NaN 1 -> NaN
681ddadd7827 add NaN 1000 -> NaN
682ddadd7828 add NaN Inf -> NaN
683ddadd7829 add NaN NaN -> NaN
684ddadd7830 add -Inf NaN -> NaN
685ddadd7831 add -1000 NaN -> NaN
686ddadd7832 add -1 NaN -> NaN
687ddadd7833 add -0 NaN -> NaN
688ddadd7834 add 0 NaN -> NaN
689ddadd7835 add 1 NaN -> NaN
690ddadd7836 add 1000 NaN -> NaN
691ddadd7837 add Inf NaN -> NaN
692
693ddadd7841 add sNaN -Inf -> NaN Invalid_operation
694ddadd7842 add sNaN -1000 -> NaN Invalid_operation
695ddadd7843 add sNaN -1 -> NaN Invalid_operation
696ddadd7844 add sNaN -0 -> NaN Invalid_operation
697ddadd7845 add sNaN 0 -> NaN Invalid_operation
698ddadd7846 add sNaN 1 -> NaN Invalid_operation
699ddadd7847 add sNaN 1000 -> NaN Invalid_operation
700ddadd7848 add sNaN NaN -> NaN Invalid_operation
701ddadd7849 add sNaN sNaN -> NaN Invalid_operation
702ddadd7850 add NaN sNaN -> NaN Invalid_operation
703ddadd7851 add -Inf sNaN -> NaN Invalid_operation
704ddadd7852 add -1000 sNaN -> NaN Invalid_operation
705ddadd7853 add -1 sNaN -> NaN Invalid_operation
706ddadd7854 add -0 sNaN -> NaN Invalid_operation
707ddadd7855 add 0 sNaN -> NaN Invalid_operation
708ddadd7856 add 1 sNaN -> NaN Invalid_operation
709ddadd7857 add 1000 sNaN -> NaN Invalid_operation
710ddadd7858 add Inf sNaN -> NaN Invalid_operation
711ddadd7859 add NaN sNaN -> NaN Invalid_operation
712
713-- propagating NaNs
714ddadd7861 add NaN1 -Inf -> NaN1
715ddadd7862 add +NaN2 -1000 -> NaN2
716ddadd7863 add NaN3 1000 -> NaN3
717ddadd7864 add NaN4 Inf -> NaN4
718ddadd7865 add NaN5 +NaN6 -> NaN5
719ddadd7866 add -Inf NaN7 -> NaN7
720ddadd7867 add -1000 NaN8 -> NaN8
721ddadd7868 add 1000 NaN9 -> NaN9
722ddadd7869 add Inf +NaN10 -> NaN10
723ddadd7871 add sNaN11 -Inf -> NaN11 Invalid_operation
724ddadd7872 add sNaN12 -1000 -> NaN12 Invalid_operation
725ddadd7873 add sNaN13 1000 -> NaN13 Invalid_operation
726ddadd7874 add sNaN14 NaN17 -> NaN14 Invalid_operation
727ddadd7875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
728ddadd7876 add NaN16 sNaN19 -> NaN19 Invalid_operation
729ddadd7877 add -Inf +sNaN20 -> NaN20 Invalid_operation
730ddadd7878 add -1000 sNaN21 -> NaN21 Invalid_operation
731ddadd7879 add 1000 sNaN22 -> NaN22 Invalid_operation
732ddadd7880 add Inf sNaN23 -> NaN23 Invalid_operation
733ddadd7881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
734ddadd7882 add -NaN26 NaN28 -> -NaN26
735ddadd7883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
736ddadd7884 add 1000 -NaN30 -> -NaN30
737ddadd7885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
738
739-- Here we explore near the boundary of rounding a subnormal to Nmin
740ddadd7575 add 1E-383 -1E-398 -> 9.99999999999999E-384 Subnormal
741ddadd7576 add -1E-383 +1E-398 -> -9.99999999999999E-384 Subnormal
742
743-- check overflow edge case
744-- 1234567890123456
745ddadd7972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
746ddadd7973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
747ddadd7974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
748ddadd7975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
749ddadd7976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
750ddadd7977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
751ddadd7978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
752ddadd7979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
753ddadd7980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
754ddadd7981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
755ddadd7982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
756ddadd7983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
757ddadd7984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
758
759ddadd7985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
760ddadd7986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
761ddadd7987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
762ddadd7988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
763ddadd7989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
764ddadd7990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
765ddadd7991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
766ddadd7992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
767ddadd7993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
768ddadd7994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
769ddadd7995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
770ddadd7996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
771ddadd7997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
772
773-- And for round down full and subnormal results
774rounding: down
775ddadd71100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
776ddadd71101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
777ddadd71103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
778ddadd71104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
779ddadd71105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
780ddadd71106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
781ddadd71107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
782ddadd71108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
783ddadd71109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
784
785rounding: ceiling
786ddadd71110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
787ddadd71111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
788ddadd71113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
789ddadd71114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
790ddadd71115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
791ddadd71116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
792ddadd71117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
793ddadd71118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
794ddadd71119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
795
796-- tests based on Gunnar Degnbol's edge case
797rounding: half_even
798
799ddadd71300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
800ddadd71310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
801ddadd71311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
802ddadd71312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
803ddadd71313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
804ddadd71314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
805ddadd71315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
806ddadd71316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
807ddadd71317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
808ddadd71318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
809ddadd71319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
810ddadd71320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
811ddadd71321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
812ddadd71322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
813ddadd71323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
814ddadd71324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
815ddadd71325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
816ddadd71326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
817ddadd71327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
818ddadd71328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
819ddadd71329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
820ddadd71330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
821ddadd71331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
822ddadd71332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
823ddadd71333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
824ddadd71334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
825ddadd71335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
826ddadd71336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
827ddadd71337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
828ddadd71338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
829ddadd71339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
830
831ddadd71340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
832ddadd71341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
833
834ddadd71349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
835ddadd71350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
836ddadd71351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
837ddadd71352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
838ddadd71353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
839ddadd71354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
840ddadd71355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
841ddadd71356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
842ddadd71357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
843ddadd71358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
844ddadd71359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
845ddadd71360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
846ddadd71361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
847ddadd71362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
848ddadd71363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
849ddadd71364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
850ddadd71365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
851ddadd71367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
852ddadd71368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
853ddadd71369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
854ddadd71370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
855ddadd71371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
856ddadd71372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
857ddadd71373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
858ddadd71374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
859ddadd71375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
860ddadd71376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
861ddadd71377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
862ddadd71378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
863ddadd71379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
864ddadd71380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
865ddadd71381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
866ddadd71382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
867ddadd71383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
868ddadd71384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
869ddadd71385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
870ddadd71386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
871ddadd71387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
872ddadd71388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
873ddadd71389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
874ddadd71390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
875ddadd71391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
876ddadd71392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
877ddadd71393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
878ddadd71394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
879ddadd71395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
880ddadd71396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
881
882-- More GD edge cases, where difference between the unadjusted
883-- exponents is larger than the maximum precision and one side is 0
884ddadd71420 add 0 1.123456789012345 -> 1.123456789012345
885ddadd71421 add 0 1.123456789012345E-1 -> 0.1123456789012345
886ddadd71422 add 0 1.123456789012345E-2 -> 0.01123456789012345
887ddadd71423 add 0 1.123456789012345E-3 -> 0.001123456789012345
888ddadd71424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
889ddadd71425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
890ddadd71426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
891ddadd71427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
892ddadd71428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
893ddadd71429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
894ddadd71430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
895ddadd71431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
896ddadd71432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
897ddadd71433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
898ddadd71434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
899ddadd71435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
900ddadd71436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
901ddadd71437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
902ddadd71438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
903ddadd71439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
904
905-- same, reversed 0
906ddadd71440 add 1.123456789012345 0 -> 1.123456789012345
907ddadd71441 add 1.123456789012345E-1 0 -> 0.1123456789012345
908ddadd71442 add 1.123456789012345E-2 0 -> 0.01123456789012345
909ddadd71443 add 1.123456789012345E-3 0 -> 0.001123456789012345
910ddadd71444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
911ddadd71445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
912ddadd71446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
913ddadd71447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
914ddadd71448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
915ddadd71449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
916ddadd71450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
917ddadd71451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
918ddadd71452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
919ddadd71453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
920ddadd71454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
921ddadd71455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
922ddadd71456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
923ddadd71457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
924ddadd71458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
925ddadd71459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
926
927-- same, Es on the 0
928ddadd71460 add 1.123456789012345 0E-0 -> 1.123456789012345
929ddadd71461 add 1.123456789012345 0E-1 -> 1.123456789012345
930ddadd71462 add 1.123456789012345 0E-2 -> 1.123456789012345
931ddadd71463 add 1.123456789012345 0E-3 -> 1.123456789012345
932ddadd71464 add 1.123456789012345 0E-4 -> 1.123456789012345
933ddadd71465 add 1.123456789012345 0E-5 -> 1.123456789012345
934ddadd71466 add 1.123456789012345 0E-6 -> 1.123456789012345
935ddadd71467 add 1.123456789012345 0E-7 -> 1.123456789012345
936ddadd71468 add 1.123456789012345 0E-8 -> 1.123456789012345
937ddadd71469 add 1.123456789012345 0E-9 -> 1.123456789012345
938ddadd71470 add 1.123456789012345 0E-10 -> 1.123456789012345
939ddadd71471 add 1.123456789012345 0E-11 -> 1.123456789012345
940ddadd71472 add 1.123456789012345 0E-12 -> 1.123456789012345
941ddadd71473 add 1.123456789012345 0E-13 -> 1.123456789012345
942ddadd71474 add 1.123456789012345 0E-14 -> 1.123456789012345
943ddadd71475 add 1.123456789012345 0E-15 -> 1.123456789012345
944-- next four flag Rounded because the 0 extends the result
945ddadd71476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
946ddadd71477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
947ddadd71478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
948ddadd71479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
949
950-- sum of two opposite-sign operands is exactly 0 and floor => -0
951rounding: half_up
952-- exact zeros from zeros
953ddadd71500 add 0 0E-19 -> 0E-19
954ddadd71501 add -0 0E-19 -> 0E-19
955ddadd71502 add 0 -0E-19 -> 0E-19
956ddadd71503 add -0 -0E-19 -> -0E-19
957-- exact zeros from non-zeros
958ddadd71511 add -11 11 -> 0
959ddadd71512 add 11 -11 -> 0
960
961rounding: half_down
962-- exact zeros from zeros
963ddadd71520 add 0 0E-19 -> 0E-19
964ddadd71521 add -0 0E-19 -> 0E-19
965ddadd71522 add 0 -0E-19 -> 0E-19
966ddadd71523 add -0 -0E-19 -> -0E-19
967-- exact zeros from non-zeros
968ddadd71531 add -11 11 -> 0
969ddadd71532 add 11 -11 -> 0
970
971rounding: half_even
972-- exact zeros from zeros
973ddadd71540 add 0 0E-19 -> 0E-19
974ddadd71541 add -0 0E-19 -> 0E-19
975ddadd71542 add 0 -0E-19 -> 0E-19
976ddadd71543 add -0 -0E-19 -> -0E-19
977-- exact zeros from non-zeros
978ddadd71551 add -11 11 -> 0
979ddadd71552 add 11 -11 -> 0
980
981rounding: up
982-- exact zeros from zeros
983ddadd71560 add 0 0E-19 -> 0E-19
984ddadd71561 add -0 0E-19 -> 0E-19
985ddadd71562 add 0 -0E-19 -> 0E-19
986ddadd71563 add -0 -0E-19 -> -0E-19
987-- exact zeros from non-zeros
988ddadd71571 add -11 11 -> 0
989ddadd71572 add 11 -11 -> 0
990
991rounding: down
992-- exact zeros from zeros
993ddadd71580 add 0 0E-19 -> 0E-19
994ddadd71581 add -0 0E-19 -> 0E-19
995ddadd71582 add 0 -0E-19 -> 0E-19
996ddadd71583 add -0 -0E-19 -> -0E-19
997-- exact zeros from non-zeros
998ddadd71591 add -11 11 -> 0
999ddadd71592 add 11 -11 -> 0
1000
1001rounding: ceiling
1002-- exact zeros from zeros
1003ddadd71600 add 0 0E-19 -> 0E-19
1004ddadd71601 add -0 0E-19 -> 0E-19
1005ddadd71602 add 0 -0E-19 -> 0E-19
1006ddadd71603 add -0 -0E-19 -> -0E-19
1007-- exact zeros from non-zeros
1008ddadd71611 add -11 11 -> 0
1009ddadd71612 add 11 -11 -> 0
1010
1011-- and the extra-special ugly case; unusual minuses marked by -- *
1012rounding: floor
1013-- exact zeros from zeros
1014ddadd71620 add 0 0E-19 -> 0E-19
1015ddadd71621 add -0 0E-19 -> -0E-19 -- *
1016ddadd71622 add 0 -0E-19 -> -0E-19 -- *
1017ddadd71623 add -0 -0E-19 -> -0E-19
1018-- exact zeros from non-zeros
1019ddadd71631 add -11 11 -> -0 -- *
1020ddadd71632 add 11 -11 -> -0 -- *
1021
1022-- Examples from SQL proposal (Krishna Kulkarni)
1023ddadd71701 add 130E-2 120E-2 -> 2.50
1024ddadd71702 add 130E-2 12E-1 -> 2.50
1025ddadd71703 add 130E-2 1E0 -> 2.30
1026ddadd71704 add 1E2 1E4 -> 1.01E+4
1027ddadd71705 add 130E-2 -120E-2 -> 0.10
1028ddadd71706 add 130E-2 -12E-1 -> 0.10
1029ddadd71707 add 130E-2 -1E0 -> 0.30
1030ddadd71708 add 1E2 -1E4 -> -9.9E+3
1031
1032-- Gappy coefficients; check residue handling even with full coefficient gap
1033rounding: half_even
1034
1035ddadd75001 add 1234567890123456 1 -> 1234567890123457
1036ddadd75002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
1037ddadd75003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
1038ddadd75004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
1039ddadd75005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
1040ddadd75006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
1041ddadd75007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
1042ddadd75008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
1043ddadd75009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
1044ddadd75010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
1045ddadd75011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
1046ddadd75012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
1047ddadd75013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
1048ddadd75014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
1049ddadd75015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
1050ddadd75016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
1051ddadd75017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
1052ddadd75018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
1053ddadd75019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
1054ddadd75020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
1055ddadd75021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
1056
1057-- widening second argument at gap
1058ddadd75030 add 12345678 1 -> 12345679
1059ddadd75031 add 12345678 0.1 -> 12345678.1
1060ddadd75032 add 12345678 0.12 -> 12345678.12
1061ddadd75033 add 12345678 0.123 -> 12345678.123
1062ddadd75034 add 12345678 0.1234 -> 12345678.1234
1063ddadd75035 add 12345678 0.12345 -> 12345678.12345
1064ddadd75036 add 12345678 0.123456 -> 12345678.123456
1065ddadd75037 add 12345678 0.1234567 -> 12345678.1234567
1066ddadd75038 add 12345678 0.12345678 -> 12345678.12345678
1067ddadd75039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
1068ddadd75040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
1069ddadd75041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
1070ddadd75042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
1071ddadd75043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
1072ddadd75044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
1073ddadd75045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
1074ddadd75046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
1075ddadd75047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
1076ddadd75048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
1077ddadd75049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
1078-- 90123456
1079rounding: half_even
1080ddadd75050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
1081ddadd75051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
1082ddadd75052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
1083ddadd75053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
1084ddadd75054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
1085ddadd75055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
1086ddadd75056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
1087ddadd75057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
1088ddadd75060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
1089ddadd75061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
1090ddadd75062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
1091ddadd75063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
1092ddadd75064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
1093ddadd75065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
1094ddadd75066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
1095ddadd75067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
1096-- far-out residues (full coefficient gap is 16+15 digits)
1097rounding: up
1098ddadd75070 add 12345678 1E-8 -> 12345678.00000001
1099ddadd75071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
1100ddadd75072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
1101ddadd75073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
1102ddadd75074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
1103ddadd75075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
1104ddadd75076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
1105ddadd75077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
1106ddadd75078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
1107ddadd75079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
1108ddadd75080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
1109ddadd75081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
1110ddadd75082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
1111ddadd75083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
1112ddadd75084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
1113ddadd75085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
1114ddadd75086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
1115ddadd75087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
1116ddadd75088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
1117ddadd75089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
1118
1119-- Punit's
1120ddadd75100 add 1.000 -200.000 -> -199.000
1121
1122-- Rounding swathe
1123rounding: half_even
1124ddadd81100 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
1125ddadd81101 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1126ddadd81102 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1127ddadd81103 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1128ddadd81104 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1129ddadd81105 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1130ddadd81106 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1131ddadd81107 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1132ddadd81108 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1133ddadd81109 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1134ddadd81120 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
1135ddadd81121 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
1136
1137rounding: half_up
1138ddadd81200 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
1139ddadd81201 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1140ddadd81202 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1141ddadd81203 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1142ddadd81204 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1143ddadd81205 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1144ddadd81206 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1145ddadd81207 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1146ddadd81208 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1147ddadd81209 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1148ddadd81220 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
1149ddadd81221 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
1150
1151rounding: half_down
1152ddadd81300 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
1153ddadd81301 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1154ddadd81302 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1155ddadd81303 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1156ddadd81304 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1157ddadd81305 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1158ddadd81306 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1159ddadd81307 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1160ddadd81308 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1161ddadd81309 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1162ddadd81320 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
1163ddadd81321 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
1164
1165rounding: up
1166ddadd81400 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
1167ddadd81401 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1168ddadd81402 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1169ddadd81403 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1170ddadd81404 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1171ddadd81405 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1172ddadd81406 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1173ddadd81407 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1174ddadd81408 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1175ddadd81409 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1176ddadd81411 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded
1177ddadd81420 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
1178ddadd81421 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
1179
1180rounding: down
1181ddadd81500 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
1182ddadd81501 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1183ddadd81502 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1184ddadd81503 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1185ddadd81504 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1186ddadd81505 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1187ddadd81506 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1188ddadd81507 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1189ddadd81508 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1190ddadd81509 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1191ddadd81511 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded
1192ddadd81520 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded
1193ddadd81521 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded
1194
1195rounding: ceiling
1196ddadd81600 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
1197ddadd81601 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1198ddadd81602 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1199ddadd81603 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1200ddadd81604 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1201ddadd81605 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1202ddadd81606 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
1203ddadd81607 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1204ddadd81608 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1205ddadd81609 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1206ddadd81611 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded
1207ddadd81620 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
1208ddadd81621 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded
1209
1210rounding: floor
1211ddadd81700 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
1212ddadd81701 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1213ddadd81702 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1214ddadd81703 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1215ddadd81704 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1216ddadd81705 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1217ddadd81706 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1218ddadd81707 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1219ddadd81708 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1220ddadd81709 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded
1221ddadd81711 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded
1222ddadd81720 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded
1223ddadd81721 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
1224
1225rounding: 05up
1226ddadd81800 add .2000 12345678901234.00 -> 12345678901234.20 Rounded
1227ddadd81801 add .2001 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1228ddadd81802 add .2010 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1229ddadd81803 add .2050 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1230ddadd81804 add .2051 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1231ddadd81807 add .2060 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1232ddadd81808 add .2070 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1233ddadd81809 add .2099 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1234ddadd81811 add -.2099 -12345678901234.00 -> -12345678901234.21 Inexact Rounded
1235ddadd81820 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded
1236ddadd81821 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded
1237
1238ddadd81900 add .2100 12345678901234.00 -> 12345678901234.21 Rounded
1239ddadd81901 add .2101 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1240ddadd81902 add .2110 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1241ddadd81903 add .2150 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1242ddadd81904 add .2151 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1243ddadd81907 add .2160 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1244ddadd81908 add .2170 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1245ddadd81909 add .2199 12345678901234.00 -> 12345678901234.21 Inexact Rounded
1246ddadd81911 add -.2199 -12345678901234.00 -> -12345678901234.21 Inexact Rounded
1247
1248ddadd82000 add .2400 12345678901234.00 -> 12345678901234.24 Rounded
1249ddadd82001 add .2401 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1250ddadd82002 add .2410 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1251ddadd82003 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1252ddadd82004 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1253ddadd82007 add .2460 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1254ddadd82008 add .2470 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1255ddadd82009 add .2499 12345678901234.00 -> 12345678901234.24 Inexact Rounded
1256ddadd82011 add -.2499 -12345678901234.00 -> -12345678901234.24 Inexact Rounded
1257
1258ddadd82100 add .2500 12345678901234.00 -> 12345678901234.25 Rounded
1259ddadd82101 add .2501 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1260ddadd82102 add .2510 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1261ddadd82103 add .2550 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1262ddadd82104 add .2551 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1263ddadd82107 add .2560 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1264ddadd82108 add .2570 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1265ddadd82109 add .2599 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1266ddadd82111 add -.2599 -12345678901234.00 -> -12345678901234.26 Inexact Rounded
1267
1268ddadd82200 add .2600 12345678901234.00 -> 12345678901234.26 Rounded
1269ddadd82201 add .2601 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1270ddadd82202 add .2610 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1271ddadd82203 add .2650 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1272ddadd82204 add .2651 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1273ddadd82207 add .2660 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1274ddadd82208 add .2670 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1275ddadd82209 add .2699 12345678901234.00 -> 12345678901234.26 Inexact Rounded
1276ddadd82211 add -.2699 -12345678901234.00 -> -12345678901234.26 Inexact Rounded
1277
1278ddadd82300 add .2900 12345678901234.00 -> 12345678901234.29 Rounded
1279ddadd82301 add .2901 12345678901234.00 -> 12345678901234.29 Inexact Rounded
1280ddadd82302 add .2910 12345678901234.00 -> 12345678901234.29 Inexact Rounded
1281ddadd82303 add .2950 12345678901234.00 -> 12345678901234.29 Inexact Rounded
1282ddadd82304 add .2951 12345678901234.00 -> 12345678901234.29 Inexact Rounded
1283ddadd82307 add .2960 12345678901234.00 -> 12345678901234.29 Inexact Rounded
1284ddadd82308 add .2970 12345678901234.00 -> 12345678901234.29 Inexact Rounded
1285ddadd82309 add .2999 12345678901234.00 -> 12345678901234.29 Inexact Rounded
1286ddadd82311 add -.2999 -12345678901234.00 -> -12345678901234.29 Inexact Rounded
1287
1288-- Null tests
1289ddadd9990 add 10 # -> NaN Invalid_operation
1290ddadd9991 add # 10 -> NaN Invalid_operation