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4710c53d 1------------------------------------------------------------------------\r
2-- ddMaxMag.decTest -- decDouble maxnummag --\r
3-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --\r
4------------------------------------------------------------------------\r
5-- Please see the document "General Decimal Arithmetic Testcases" --\r
6-- at http://www2.hursley.ibm.com/decimal for the description of --\r
7-- these testcases. --\r
8-- --\r
9-- These testcases are experimental ('beta' versions), and they --\r
10-- may contain errors. They are offered on an as-is basis. In --\r
11-- particular, achieving the same results as the tests here is not --\r
12-- a guarantee that an implementation complies with any Standard --\r
13-- or specification. The tests are not exhaustive. --\r
14-- --\r
15-- Please send comments, suggestions, and corrections to the author: --\r
16-- Mike Cowlishaw, IBM Fellow --\r
17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --\r
18-- mfc@uk.ibm.com --\r
19------------------------------------------------------------------------\r
20version: 2.59\r
21\r
22-- we assume that base comparison is tested in compare.decTest, so\r
23-- these mainly cover special cases and rounding\r
24precision: 16\r
25maxExponent: 384\r
26minExponent: -383\r
27extended: 1\r
28clamp: 1\r
29rounding: half_even\r
30\r
31-- sanity checks\r
32ddmxg001 maxmag -2 -2 -> -2\r
33ddmxg002 maxmag -2 -1 -> -2\r
34ddmxg003 maxmag -2 0 -> -2\r
35ddmxg004 maxmag -2 1 -> -2\r
36ddmxg005 maxmag -2 2 -> 2\r
37ddmxg006 maxmag -1 -2 -> -2\r
38ddmxg007 maxmag -1 -1 -> -1\r
39ddmxg008 maxmag -1 0 -> -1\r
40ddmxg009 maxmag -1 1 -> 1\r
41ddmxg010 maxmag -1 2 -> 2\r
42ddmxg011 maxmag 0 -2 -> -2\r
43ddmxg012 maxmag 0 -1 -> -1\r
44ddmxg013 maxmag 0 0 -> 0\r
45ddmxg014 maxmag 0 1 -> 1\r
46ddmxg015 maxmag 0 2 -> 2\r
47ddmxg016 maxmag 1 -2 -> -2\r
48ddmxg017 maxmag 1 -1 -> 1\r
49ddmxg018 maxmag 1 0 -> 1\r
50ddmxg019 maxmag 1 1 -> 1\r
51ddmxg020 maxmag 1 2 -> 2\r
52ddmxg021 maxmag 2 -2 -> 2\r
53ddmxg022 maxmag 2 -1 -> 2\r
54ddmxg023 maxmag 2 0 -> 2\r
55ddmxg025 maxmag 2 1 -> 2\r
56ddmxg026 maxmag 2 2 -> 2\r
57\r
58-- extended zeros\r
59ddmxg030 maxmag 0 0 -> 0\r
60ddmxg031 maxmag 0 -0 -> 0\r
61ddmxg032 maxmag 0 -0.0 -> 0\r
62ddmxg033 maxmag 0 0.0 -> 0\r
63ddmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen\r
64ddmxg035 maxmag -0 -0 -> -0\r
65ddmxg036 maxmag -0 -0.0 -> -0.0\r
66ddmxg037 maxmag -0 0.0 -> 0.0\r
67ddmxg038 maxmag 0.0 0 -> 0\r
68ddmxg039 maxmag 0.0 -0 -> 0.0\r
69ddmxg040 maxmag 0.0 -0.0 -> 0.0\r
70ddmxg041 maxmag 0.0 0.0 -> 0.0\r
71ddmxg042 maxmag -0.0 0 -> 0\r
72ddmxg043 maxmag -0.0 -0 -> -0.0\r
73ddmxg044 maxmag -0.0 -0.0 -> -0.0\r
74ddmxg045 maxmag -0.0 0.0 -> 0.0\r
75\r
76ddmxg050 maxmag -0E1 0E1 -> 0E+1\r
77ddmxg051 maxmag -0E2 0E2 -> 0E+2\r
78ddmxg052 maxmag -0E2 0E1 -> 0E+1\r
79ddmxg053 maxmag -0E1 0E2 -> 0E+2\r
80ddmxg054 maxmag 0E1 -0E1 -> 0E+1\r
81ddmxg055 maxmag 0E2 -0E2 -> 0E+2\r
82ddmxg056 maxmag 0E2 -0E1 -> 0E+2\r
83ddmxg057 maxmag 0E1 -0E2 -> 0E+1\r
84\r
85ddmxg058 maxmag 0E1 0E1 -> 0E+1\r
86ddmxg059 maxmag 0E2 0E2 -> 0E+2\r
87ddmxg060 maxmag 0E2 0E1 -> 0E+2\r
88ddmxg061 maxmag 0E1 0E2 -> 0E+2\r
89ddmxg062 maxmag -0E1 -0E1 -> -0E+1\r
90ddmxg063 maxmag -0E2 -0E2 -> -0E+2\r
91ddmxg064 maxmag -0E2 -0E1 -> -0E+1\r
92ddmxg065 maxmag -0E1 -0E2 -> -0E+1\r
93\r
94-- Specials\r
95ddmxg090 maxmag Inf -Inf -> Infinity\r
96ddmxg091 maxmag Inf -1000 -> Infinity\r
97ddmxg092 maxmag Inf -1 -> Infinity\r
98ddmxg093 maxmag Inf -0 -> Infinity\r
99ddmxg094 maxmag Inf 0 -> Infinity\r
100ddmxg095 maxmag Inf 1 -> Infinity\r
101ddmxg096 maxmag Inf 1000 -> Infinity\r
102ddmxg097 maxmag Inf Inf -> Infinity\r
103ddmxg098 maxmag -1000 Inf -> Infinity\r
104ddmxg099 maxmag -Inf Inf -> Infinity\r
105ddmxg100 maxmag -1 Inf -> Infinity\r
106ddmxg101 maxmag -0 Inf -> Infinity\r
107ddmxg102 maxmag 0 Inf -> Infinity\r
108ddmxg103 maxmag 1 Inf -> Infinity\r
109ddmxg104 maxmag 1000 Inf -> Infinity\r
110ddmxg105 maxmag Inf Inf -> Infinity\r
111\r
112ddmxg120 maxmag -Inf -Inf -> -Infinity\r
113ddmxg121 maxmag -Inf -1000 -> -Infinity\r
114ddmxg122 maxmag -Inf -1 -> -Infinity\r
115ddmxg123 maxmag -Inf -0 -> -Infinity\r
116ddmxg124 maxmag -Inf 0 -> -Infinity\r
117ddmxg125 maxmag -Inf 1 -> -Infinity\r
118ddmxg126 maxmag -Inf 1000 -> -Infinity\r
119ddmxg127 maxmag -Inf Inf -> Infinity\r
120ddmxg128 maxmag -Inf -Inf -> -Infinity\r
121ddmxg129 maxmag -1000 -Inf -> -Infinity\r
122ddmxg130 maxmag -1 -Inf -> -Infinity\r
123ddmxg131 maxmag -0 -Inf -> -Infinity\r
124ddmxg132 maxmag 0 -Inf -> -Infinity\r
125ddmxg133 maxmag 1 -Inf -> -Infinity\r
126ddmxg134 maxmag 1000 -Inf -> -Infinity\r
127ddmxg135 maxmag Inf -Inf -> Infinity\r
128\r
129-- 2004.08.02 754r chooses number over NaN in mixed cases\r
130ddmxg141 maxmag NaN -Inf -> -Infinity\r
131ddmxg142 maxmag NaN -1000 -> -1000\r
132ddmxg143 maxmag NaN -1 -> -1\r
133ddmxg144 maxmag NaN -0 -> -0\r
134ddmxg145 maxmag NaN 0 -> 0\r
135ddmxg146 maxmag NaN 1 -> 1\r
136ddmxg147 maxmag NaN 1000 -> 1000\r
137ddmxg148 maxmag NaN Inf -> Infinity\r
138ddmxg149 maxmag NaN NaN -> NaN\r
139ddmxg150 maxmag -Inf NaN -> -Infinity\r
140ddmxg151 maxmag -1000 NaN -> -1000\r
141ddmxg152 maxmag -1 NaN -> -1\r
142ddmxg153 maxmag -0 NaN -> -0\r
143ddmxg154 maxmag 0 NaN -> 0\r
144ddmxg155 maxmag 1 NaN -> 1\r
145ddmxg156 maxmag 1000 NaN -> 1000\r
146ddmxg157 maxmag Inf NaN -> Infinity\r
147\r
148ddmxg161 maxmag sNaN -Inf -> NaN Invalid_operation\r
149ddmxg162 maxmag sNaN -1000 -> NaN Invalid_operation\r
150ddmxg163 maxmag sNaN -1 -> NaN Invalid_operation\r
151ddmxg164 maxmag sNaN -0 -> NaN Invalid_operation\r
152ddmxg165 maxmag sNaN 0 -> NaN Invalid_operation\r
153ddmxg166 maxmag sNaN 1 -> NaN Invalid_operation\r
154ddmxg167 maxmag sNaN 1000 -> NaN Invalid_operation\r
155ddmxg168 maxmag sNaN NaN -> NaN Invalid_operation\r
156ddmxg169 maxmag sNaN sNaN -> NaN Invalid_operation\r
157ddmxg170 maxmag NaN sNaN -> NaN Invalid_operation\r
158ddmxg171 maxmag -Inf sNaN -> NaN Invalid_operation\r
159ddmxg172 maxmag -1000 sNaN -> NaN Invalid_operation\r
160ddmxg173 maxmag -1 sNaN -> NaN Invalid_operation\r
161ddmxg174 maxmag -0 sNaN -> NaN Invalid_operation\r
162ddmxg175 maxmag 0 sNaN -> NaN Invalid_operation\r
163ddmxg176 maxmag 1 sNaN -> NaN Invalid_operation\r
164ddmxg177 maxmag 1000 sNaN -> NaN Invalid_operation\r
165ddmxg178 maxmag Inf sNaN -> NaN Invalid_operation\r
166ddmxg179 maxmag NaN sNaN -> NaN Invalid_operation\r
167\r
168-- propagating NaNs\r
169ddmxg181 maxmag NaN9 -Inf -> -Infinity\r
170ddmxg182 maxmag NaN8 9 -> 9\r
171ddmxg183 maxmag -NaN7 Inf -> Infinity\r
172\r
173ddmxg184 maxmag -NaN1 NaN11 -> -NaN1\r
174ddmxg185 maxmag NaN2 NaN12 -> NaN2\r
175ddmxg186 maxmag -NaN13 -NaN7 -> -NaN13\r
176ddmxg187 maxmag NaN14 -NaN5 -> NaN14\r
177\r
178ddmxg188 maxmag -Inf NaN4 -> -Infinity\r
179ddmxg189 maxmag -9 -NaN3 -> -9\r
180ddmxg190 maxmag Inf NaN2 -> Infinity\r
181\r
182ddmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation\r
183ddmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation\r
184ddmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation\r
185ddmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation\r
186ddmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation\r
187ddmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation\r
188ddmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation\r
189ddmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation\r
190ddmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation\r
191\r
192-- old rounding checks\r
193ddmxg221 maxmag 12345678000 1 -> 12345678000\r
194ddmxg222 maxmag 1 12345678000 -> 12345678000\r
195ddmxg223 maxmag 1234567800 1 -> 1234567800\r
196ddmxg224 maxmag 1 1234567800 -> 1234567800\r
197ddmxg225 maxmag 1234567890 1 -> 1234567890\r
198ddmxg226 maxmag 1 1234567890 -> 1234567890\r
199ddmxg227 maxmag 1234567891 1 -> 1234567891\r
200ddmxg228 maxmag 1 1234567891 -> 1234567891\r
201ddmxg229 maxmag 12345678901 1 -> 12345678901\r
202ddmxg230 maxmag 1 12345678901 -> 12345678901\r
203ddmxg231 maxmag 1234567896 1 -> 1234567896\r
204ddmxg232 maxmag 1 1234567896 -> 1234567896\r
205ddmxg233 maxmag -1234567891 1 -> -1234567891\r
206ddmxg234 maxmag 1 -1234567891 -> -1234567891\r
207ddmxg235 maxmag -12345678901 1 -> -12345678901\r
208ddmxg236 maxmag 1 -12345678901 -> -12345678901\r
209ddmxg237 maxmag -1234567896 1 -> -1234567896\r
210ddmxg238 maxmag 1 -1234567896 -> -1234567896\r
211\r
212-- from examples\r
213ddmxg280 maxmag '3' '2' -> '3'\r
214ddmxg281 maxmag '-10' '3' -> '-10'\r
215ddmxg282 maxmag '1.0' '1' -> '1'\r
216ddmxg283 maxmag '1' '1.0' -> '1'\r
217ddmxg284 maxmag '7' 'NaN' -> '7'\r
218\r
219-- expanded list from min/max 754r purple prose\r
220-- [explicit tests for exponent ordering]\r
221ddmxg401 maxmag Inf 1.1 -> Infinity\r
222ddmxg402 maxmag 1.1 1 -> 1.1\r
223ddmxg403 maxmag 1 1.0 -> 1\r
224ddmxg404 maxmag 1.0 0.1 -> 1.0\r
225ddmxg405 maxmag 0.1 0.10 -> 0.1\r
226ddmxg406 maxmag 0.10 0.100 -> 0.10\r
227ddmxg407 maxmag 0.10 0 -> 0.10\r
228ddmxg408 maxmag 0 0.0 -> 0\r
229ddmxg409 maxmag 0.0 -0 -> 0.0\r
230ddmxg410 maxmag 0.0 -0.0 -> 0.0\r
231ddmxg411 maxmag 0.00 -0.0 -> 0.00\r
232ddmxg412 maxmag 0.0 -0.00 -> 0.0\r
233ddmxg413 maxmag 0 -0.0 -> 0\r
234ddmxg414 maxmag 0 -0 -> 0\r
235ddmxg415 maxmag -0.0 -0 -> -0.0\r
236ddmxg416 maxmag -0 -0.100 -> -0.100\r
237ddmxg417 maxmag -0.100 -0.10 -> -0.100\r
238ddmxg418 maxmag -0.10 -0.1 -> -0.10\r
239ddmxg419 maxmag -0.1 -1.0 -> -1.0\r
240ddmxg420 maxmag -1.0 -1 -> -1.0\r
241ddmxg421 maxmag -1 -1.1 -> -1.1\r
242ddmxg423 maxmag -1.1 -Inf -> -Infinity\r
243-- same with operands reversed\r
244ddmxg431 maxmag 1.1 Inf -> Infinity\r
245ddmxg432 maxmag 1 1.1 -> 1.1\r
246ddmxg433 maxmag 1.0 1 -> 1\r
247ddmxg434 maxmag 0.1 1.0 -> 1.0\r
248ddmxg435 maxmag 0.10 0.1 -> 0.1\r
249ddmxg436 maxmag 0.100 0.10 -> 0.10\r
250ddmxg437 maxmag 0 0.10 -> 0.10\r
251ddmxg438 maxmag 0.0 0 -> 0\r
252ddmxg439 maxmag -0 0.0 -> 0.0\r
253ddmxg440 maxmag -0.0 0.0 -> 0.0\r
254ddmxg441 maxmag -0.0 0.00 -> 0.00\r
255ddmxg442 maxmag -0.00 0.0 -> 0.0\r
256ddmxg443 maxmag -0.0 0 -> 0\r
257ddmxg444 maxmag -0 0 -> 0\r
258ddmxg445 maxmag -0 -0.0 -> -0.0\r
259ddmxg446 maxmag -0.100 -0 -> -0.100\r
260ddmxg447 maxmag -0.10 -0.100 -> -0.100\r
261ddmxg448 maxmag -0.1 -0.10 -> -0.10\r
262ddmxg449 maxmag -1.0 -0.1 -> -1.0\r
263ddmxg450 maxmag -1 -1.0 -> -1.0\r
264ddmxg451 maxmag -1.1 -1 -> -1.1\r
265ddmxg453 maxmag -Inf -1.1 -> -Infinity\r
266-- largies\r
267ddmxg460 maxmag 1000 1E+3 -> 1E+3\r
268ddmxg461 maxmag 1E+3 1000 -> 1E+3\r
269ddmxg462 maxmag 1000 -1E+3 -> 1000\r
270ddmxg463 maxmag 1E+3 -1000 -> 1E+3\r
271ddmxg464 maxmag -1000 1E+3 -> 1E+3\r
272ddmxg465 maxmag -1E+3 1000 -> 1000\r
273ddmxg466 maxmag -1000 -1E+3 -> -1000\r
274ddmxg467 maxmag -1E+3 -1000 -> -1000\r
275\r
276-- subnormals\r
277ddmxg510 maxmag 1.00E-383 0 -> 1.00E-383\r
278ddmxg511 maxmag 0.1E-383 0 -> 1E-384 Subnormal\r
279ddmxg512 maxmag 0.10E-383 0 -> 1.0E-384 Subnormal\r
280ddmxg513 maxmag 0.100E-383 0 -> 1.00E-384 Subnormal\r
281ddmxg514 maxmag 0.01E-383 0 -> 1E-385 Subnormal\r
282ddmxg515 maxmag 0.999E-383 0 -> 9.99E-384 Subnormal\r
283ddmxg516 maxmag 0.099E-383 0 -> 9.9E-385 Subnormal\r
284ddmxg517 maxmag 0.009E-383 0 -> 9E-386 Subnormal\r
285ddmxg518 maxmag 0.001E-383 0 -> 1E-386 Subnormal\r
286ddmxg519 maxmag 0.0009E-383 0 -> 9E-387 Subnormal\r
287ddmxg520 maxmag 0.0001E-383 0 -> 1E-387 Subnormal\r
288\r
289ddmxg530 maxmag -1.00E-383 0 -> -1.00E-383\r
290ddmxg531 maxmag -0.1E-383 0 -> -1E-384 Subnormal\r
291ddmxg532 maxmag -0.10E-383 0 -> -1.0E-384 Subnormal\r
292ddmxg533 maxmag -0.100E-383 0 -> -1.00E-384 Subnormal\r
293ddmxg534 maxmag -0.01E-383 0 -> -1E-385 Subnormal\r
294ddmxg535 maxmag -0.999E-383 0 -> -9.99E-384 Subnormal\r
295ddmxg536 maxmag -0.099E-383 0 -> -9.9E-385 Subnormal\r
296ddmxg537 maxmag -0.009E-383 0 -> -9E-386 Subnormal\r
297ddmxg538 maxmag -0.001E-383 0 -> -1E-386 Subnormal\r
298ddmxg539 maxmag -0.0009E-383 0 -> -9E-387 Subnormal\r
299ddmxg540 maxmag -0.0001E-383 0 -> -1E-387 Subnormal\r
300\r
301-- Null tests\r
302ddmxg900 maxmag 10 # -> NaN Invalid_operation\r
303ddmxg901 maxmag # 10 -> NaN Invalid_operation\r
304\r