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EmbeddedPkg: Extend NvVarStoreFormattedLib LIBRARY_CLASS
[mirror_edk2.git] / AppPkg / Applications / Python / Python-2.7.2 / Lib / test / decimaltestdata / max.decTest
1 ------------------------------------------------------------------------
2 -- max.decTest -- decimal maximum --
3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
4 ------------------------------------------------------------------------
5 -- Please see the document "General Decimal Arithmetic Testcases" --
6 -- at http://www2.hursley.ibm.com/decimal for the description of --
7 -- these testcases. --
8 -- --
9 -- These testcases are experimental ('beta' versions), and they --
10 -- may contain errors. They are offered on an as-is basis. In --
11 -- particular, achieving the same results as the tests here is not --
12 -- a guarantee that an implementation complies with any Standard --
13 -- or specification. The tests are not exhaustive. --
14 -- --
15 -- Please send comments, suggestions, and corrections to the author: --
16 -- Mike Cowlishaw, IBM Fellow --
17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
18 -- mfc@uk.ibm.com --
19 ------------------------------------------------------------------------
20 version: 2.59
21
22 -- we assume that base comparison is tested in compare.decTest, so
23 -- these mainly cover special cases and rounding
24
25 extended: 1
26 precision: 9
27 rounding: half_up
28 maxExponent: 384
29 minexponent: -383
30
31 -- sanity checks
32 maxx001 max -2 -2 -> -2
33 maxx002 max -2 -1 -> -1
34 maxx003 max -2 0 -> 0
35 maxx004 max -2 1 -> 1
36 maxx005 max -2 2 -> 2
37 maxx006 max -1 -2 -> -1
38 maxx007 max -1 -1 -> -1
39 maxx008 max -1 0 -> 0
40 maxx009 max -1 1 -> 1
41 maxx010 max -1 2 -> 2
42 maxx011 max 0 -2 -> 0
43 maxx012 max 0 -1 -> 0
44 maxx013 max 0 0 -> 0
45 maxx014 max 0 1 -> 1
46 maxx015 max 0 2 -> 2
47 maxx016 max 1 -2 -> 1
48 maxx017 max 1 -1 -> 1
49 maxx018 max 1 0 -> 1
50 maxx019 max 1 1 -> 1
51 maxx020 max 1 2 -> 2
52 maxx021 max 2 -2 -> 2
53 maxx022 max 2 -1 -> 2
54 maxx023 max 2 0 -> 2
55 maxx025 max 2 1 -> 2
56 maxx026 max 2 2 -> 2
57
58 -- extended zeros
59 maxx030 max 0 0 -> 0
60 maxx031 max 0 -0 -> 0
61 maxx032 max 0 -0.0 -> 0
62 maxx033 max 0 0.0 -> 0
63 maxx034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen
64 maxx035 max -0 -0 -> -0
65 maxx036 max -0 -0.0 -> -0.0
66 maxx037 max -0 0.0 -> 0.0
67 maxx038 max 0.0 0 -> 0
68 maxx039 max 0.0 -0 -> 0.0
69 maxx040 max 0.0 -0.0 -> 0.0
70 maxx041 max 0.0 0.0 -> 0.0
71 maxx042 max -0.0 0 -> 0
72 maxx043 max -0.0 -0 -> -0.0
73 maxx044 max -0.0 -0.0 -> -0.0
74 maxx045 max -0.0 0.0 -> 0.0
75
76 maxx050 max -0E1 0E1 -> 0E+1
77 maxx051 max -0E2 0E2 -> 0E+2
78 maxx052 max -0E2 0E1 -> 0E+1
79 maxx053 max -0E1 0E2 -> 0E+2
80 maxx054 max 0E1 -0E1 -> 0E+1
81 maxx055 max 0E2 -0E2 -> 0E+2
82 maxx056 max 0E2 -0E1 -> 0E+2
83 maxx057 max 0E1 -0E2 -> 0E+1
84
85 maxx058 max 0E1 0E1 -> 0E+1
86 maxx059 max 0E2 0E2 -> 0E+2
87 maxx060 max 0E2 0E1 -> 0E+2
88 maxx061 max 0E1 0E2 -> 0E+2
89 maxx062 max -0E1 -0E1 -> -0E+1
90 maxx063 max -0E2 -0E2 -> -0E+2
91 maxx064 max -0E2 -0E1 -> -0E+1
92 maxx065 max -0E1 -0E2 -> -0E+1
93
94 -- Specials
95 precision: 9
96 maxx090 max Inf -Inf -> Infinity
97 maxx091 max Inf -1000 -> Infinity
98 maxx092 max Inf -1 -> Infinity
99 maxx093 max Inf -0 -> Infinity
100 maxx094 max Inf 0 -> Infinity
101 maxx095 max Inf 1 -> Infinity
102 maxx096 max Inf 1000 -> Infinity
103 maxx097 max Inf Inf -> Infinity
104 maxx098 max -1000 Inf -> Infinity
105 maxx099 max -Inf Inf -> Infinity
106 maxx100 max -1 Inf -> Infinity
107 maxx101 max -0 Inf -> Infinity
108 maxx102 max 0 Inf -> Infinity
109 maxx103 max 1 Inf -> Infinity
110 maxx104 max 1000 Inf -> Infinity
111 maxx105 max Inf Inf -> Infinity
112
113 maxx120 max -Inf -Inf -> -Infinity
114 maxx121 max -Inf -1000 -> -1000
115 maxx122 max -Inf -1 -> -1
116 maxx123 max -Inf -0 -> -0
117 maxx124 max -Inf 0 -> 0
118 maxx125 max -Inf 1 -> 1
119 maxx126 max -Inf 1000 -> 1000
120 maxx127 max -Inf Inf -> Infinity
121 maxx128 max -Inf -Inf -> -Infinity
122 maxx129 max -1000 -Inf -> -1000
123 maxx130 max -1 -Inf -> -1
124 maxx131 max -0 -Inf -> -0
125 maxx132 max 0 -Inf -> 0
126 maxx133 max 1 -Inf -> 1
127 maxx134 max 1000 -Inf -> 1000
128 maxx135 max Inf -Inf -> Infinity
129
130 -- 2004.08.02 754r chooses number over NaN in mixed cases
131 maxx141 max NaN -Inf -> -Infinity
132 maxx142 max NaN -1000 -> -1000
133 maxx143 max NaN -1 -> -1
134 maxx144 max NaN -0 -> -0
135 maxx145 max NaN 0 -> 0
136 maxx146 max NaN 1 -> 1
137 maxx147 max NaN 1000 -> 1000
138 maxx148 max NaN Inf -> Infinity
139 maxx149 max NaN NaN -> NaN
140 maxx150 max -Inf NaN -> -Infinity
141 maxx151 max -1000 NaN -> -1000
142 maxx152 max -1 NaN -> -1
143 maxx153 max -0 NaN -> -0
144 maxx154 max 0 NaN -> 0
145 maxx155 max 1 NaN -> 1
146 maxx156 max 1000 NaN -> 1000
147 maxx157 max Inf NaN -> Infinity
148
149 maxx161 max sNaN -Inf -> NaN Invalid_operation
150 maxx162 max sNaN -1000 -> NaN Invalid_operation
151 maxx163 max sNaN -1 -> NaN Invalid_operation
152 maxx164 max sNaN -0 -> NaN Invalid_operation
153 maxx165 max sNaN 0 -> NaN Invalid_operation
154 maxx166 max sNaN 1 -> NaN Invalid_operation
155 maxx167 max sNaN 1000 -> NaN Invalid_operation
156 maxx168 max sNaN NaN -> NaN Invalid_operation
157 maxx169 max sNaN sNaN -> NaN Invalid_operation
158 maxx170 max NaN sNaN -> NaN Invalid_operation
159 maxx171 max -Inf sNaN -> NaN Invalid_operation
160 maxx172 max -1000 sNaN -> NaN Invalid_operation
161 maxx173 max -1 sNaN -> NaN Invalid_operation
162 maxx174 max -0 sNaN -> NaN Invalid_operation
163 maxx175 max 0 sNaN -> NaN Invalid_operation
164 maxx176 max 1 sNaN -> NaN Invalid_operation
165 maxx177 max 1000 sNaN -> NaN Invalid_operation
166 maxx178 max Inf sNaN -> NaN Invalid_operation
167 maxx179 max NaN sNaN -> NaN Invalid_operation
168
169 -- propagating NaNs
170 maxx181 max NaN9 -Inf -> -Infinity
171 maxx182 max NaN8 9 -> 9
172 maxx183 max -NaN7 Inf -> Infinity
173
174 maxx184 max -NaN1 NaN11 -> -NaN1
175 maxx185 max NaN2 NaN12 -> NaN2
176 maxx186 max -NaN13 -NaN7 -> -NaN13
177 maxx187 max NaN14 -NaN5 -> NaN14
178
179 maxx188 max -Inf NaN4 -> -Infinity
180 maxx189 max -9 -NaN3 -> -9
181 maxx190 max Inf NaN2 -> Infinity
182
183 maxx191 max sNaN99 -Inf -> NaN99 Invalid_operation
184 maxx192 max sNaN98 -1 -> NaN98 Invalid_operation
185 maxx193 max -sNaN97 NaN -> -NaN97 Invalid_operation
186 maxx194 max sNaN96 sNaN94 -> NaN96 Invalid_operation
187 maxx195 max NaN95 sNaN93 -> NaN93 Invalid_operation
188 maxx196 max -Inf sNaN92 -> NaN92 Invalid_operation
189 maxx197 max 0 sNaN91 -> NaN91 Invalid_operation
190 maxx198 max Inf -sNaN90 -> -NaN90 Invalid_operation
191 maxx199 max NaN sNaN89 -> NaN89 Invalid_operation
192
193 -- rounding checks
194 maxexponent: 999
195 minexponent: -999
196 precision: 9
197 maxx201 max 12345678000 1 -> 1.23456780E+10 Rounded
198 maxx202 max 1 12345678000 -> 1.23456780E+10 Rounded
199 maxx203 max 1234567800 1 -> 1.23456780E+9 Rounded
200 maxx204 max 1 1234567800 -> 1.23456780E+9 Rounded
201 maxx205 max 1234567890 1 -> 1.23456789E+9 Rounded
202 maxx206 max 1 1234567890 -> 1.23456789E+9 Rounded
203 maxx207 max 1234567891 1 -> 1.23456789E+9 Inexact Rounded
204 maxx208 max 1 1234567891 -> 1.23456789E+9 Inexact Rounded
205 maxx209 max 12345678901 1 -> 1.23456789E+10 Inexact Rounded
206 maxx210 max 1 12345678901 -> 1.23456789E+10 Inexact Rounded
207 maxx211 max 1234567896 1 -> 1.23456790E+9 Inexact Rounded
208 maxx212 max 1 1234567896 -> 1.23456790E+9 Inexact Rounded
209 maxx213 max -1234567891 1 -> 1
210 maxx214 max 1 -1234567891 -> 1
211 maxx215 max -12345678901 1 -> 1
212 maxx216 max 1 -12345678901 -> 1
213 maxx217 max -1234567896 1 -> 1
214 maxx218 max 1 -1234567896 -> 1
215
216 precision: 15
217 maxx221 max 12345678000 1 -> 12345678000
218 maxx222 max 1 12345678000 -> 12345678000
219 maxx223 max 1234567800 1 -> 1234567800
220 maxx224 max 1 1234567800 -> 1234567800
221 maxx225 max 1234567890 1 -> 1234567890
222 maxx226 max 1 1234567890 -> 1234567890
223 maxx227 max 1234567891 1 -> 1234567891
224 maxx228 max 1 1234567891 -> 1234567891
225 maxx229 max 12345678901 1 -> 12345678901
226 maxx230 max 1 12345678901 -> 12345678901
227 maxx231 max 1234567896 1 -> 1234567896
228 maxx232 max 1 1234567896 -> 1234567896
229 maxx233 max -1234567891 1 -> 1
230 maxx234 max 1 -1234567891 -> 1
231 maxx235 max -12345678901 1 -> 1
232 maxx236 max 1 -12345678901 -> 1
233 maxx237 max -1234567896 1 -> 1
234 maxx238 max 1 -1234567896 -> 1
235
236 -- from examples
237 maxx280 max '3' '2' -> '3'
238 maxx281 max '-10' '3' -> '3'
239 maxx282 max '1.0' '1' -> '1'
240 maxx283 max '1' '1.0' -> '1'
241 maxx284 max '7' 'NaN' -> '7'
242
243 -- overflow and underflow tests ...
244 maxExponent: 999999999
245 minexponent: -999999999
246 maxx330 max +1.23456789012345E-0 9E+999999999 -> 9E+999999999
247 maxx331 max 9E+999999999 +1.23456789012345E-0 -> 9E+999999999
248 maxx332 max +0.100 9E-999999999 -> 0.100
249 maxx333 max 9E-999999999 +0.100 -> 0.100
250 maxx335 max -1.23456789012345E-0 9E+999999999 -> 9E+999999999
251 maxx336 max 9E+999999999 -1.23456789012345E-0 -> 9E+999999999
252 maxx337 max -0.100 9E-999999999 -> 9E-999999999
253 maxx338 max 9E-999999999 -0.100 -> 9E-999999999
254
255 maxx339 max 1e-599999999 1e-400000001 -> 1E-400000001
256 maxx340 max 1e-599999999 1e-400000000 -> 1E-400000000
257 maxx341 max 1e-600000000 1e-400000000 -> 1E-400000000
258 maxx342 max 9e-999999998 0.01 -> 0.01
259 maxx343 max 9e-999999998 0.1 -> 0.1
260 maxx344 max 0.01 9e-999999998 -> 0.01
261 maxx345 max 1e599999999 1e400000001 -> 1E+599999999
262 maxx346 max 1e599999999 1e400000000 -> 1E+599999999
263 maxx347 max 1e600000000 1e400000000 -> 1E+600000000
264 maxx348 max 9e999999998 100 -> 9E+999999998
265 maxx349 max 9e999999998 10 -> 9E+999999998
266 maxx350 max 100 9e999999998 -> 9E+999999998
267 -- signs
268 maxx351 max 1e+777777777 1e+411111111 -> 1E+777777777
269 maxx352 max 1e+777777777 -1e+411111111 -> 1E+777777777
270 maxx353 max -1e+777777777 1e+411111111 -> 1E+411111111
271 maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111
272 maxx355 max 1e-777777777 1e-411111111 -> 1E-411111111
273 maxx356 max 1e-777777777 -1e-411111111 -> 1E-777777777
274 maxx357 max -1e-777777777 1e-411111111 -> 1E-411111111
275 maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777
276
277 -- expanded list from min/max 754r purple prose
278 -- [explicit tests for exponent ordering]
279 maxx401 max Inf 1.1 -> Infinity
280 maxx402 max 1.1 1 -> 1.1
281 maxx403 max 1 1.0 -> 1
282 maxx404 max 1.0 0.1 -> 1.0
283 maxx405 max 0.1 0.10 -> 0.1
284 maxx406 max 0.10 0.100 -> 0.10
285 maxx407 max 0.10 0 -> 0.10
286 maxx408 max 0 0.0 -> 0
287 maxx409 max 0.0 -0 -> 0.0
288 maxx410 max 0.0 -0.0 -> 0.0
289 maxx411 max 0.00 -0.0 -> 0.00
290 maxx412 max 0.0 -0.00 -> 0.0
291 maxx413 max 0 -0.0 -> 0
292 maxx414 max 0 -0 -> 0
293 maxx415 max -0.0 -0 -> -0.0
294 maxx416 max -0 -0.100 -> -0
295 maxx417 max -0.100 -0.10 -> -0.100
296 maxx418 max -0.10 -0.1 -> -0.10
297 maxx419 max -0.1 -1.0 -> -0.1
298 maxx420 max -1.0 -1 -> -1.0
299 maxx421 max -1 -1.1 -> -1
300 maxx423 max -1.1 -Inf -> -1.1
301 -- same with operands reversed
302 maxx431 max 1.1 Inf -> Infinity
303 maxx432 max 1 1.1 -> 1.1
304 maxx433 max 1.0 1 -> 1
305 maxx434 max 0.1 1.0 -> 1.0
306 maxx435 max 0.10 0.1 -> 0.1
307 maxx436 max 0.100 0.10 -> 0.10
308 maxx437 max 0 0.10 -> 0.10
309 maxx438 max 0.0 0 -> 0
310 maxx439 max -0 0.0 -> 0.0
311 maxx440 max -0.0 0.0 -> 0.0
312 maxx441 max -0.0 0.00 -> 0.00
313 maxx442 max -0.00 0.0 -> 0.0
314 maxx443 max -0.0 0 -> 0
315 maxx444 max -0 0 -> 0
316 maxx445 max -0 -0.0 -> -0.0
317 maxx446 max -0.100 -0 -> -0
318 maxx447 max -0.10 -0.100 -> -0.100
319 maxx448 max -0.1 -0.10 -> -0.10
320 maxx449 max -1.0 -0.1 -> -0.1
321 maxx450 max -1 -1.0 -> -1.0
322 maxx451 max -1.1 -1 -> -1
323 maxx453 max -Inf -1.1 -> -1.1
324 -- largies
325 maxx460 max 1000 1E+3 -> 1E+3
326 maxx461 max 1E+3 1000 -> 1E+3
327 maxx462 max 1000 -1E+3 -> 1000
328 maxx463 max 1E+3 -1000 -> 1E+3
329 maxx464 max -1000 1E+3 -> 1E+3
330 maxx465 max -1E+3 1000 -> 1000
331 maxx466 max -1000 -1E+3 -> -1000
332 maxx467 max -1E+3 -1000 -> -1000
333
334 -- rounding (results treated as though plus)
335 maxexponent: 999999999
336 minexponent: -999999999
337 precision: 3
338
339 maxx470 max 1 .5 -> 1
340 maxx471 max 10 5 -> 10
341 maxx472 max 100 50 -> 100
342 maxx473 max 1000 500 -> 1.00E+3 Rounded
343 maxx474 max 10000 5000 -> 1.00E+4 Rounded
344 maxx475 max 6 .5 -> 6
345 maxx476 max 66 5 -> 66
346 maxx477 max 666 50 -> 666
347 maxx478 max 6666 500 -> 6.67E+3 Rounded Inexact
348 maxx479 max 66666 5000 -> 6.67E+4 Rounded Inexact
349 maxx480 max 33333 5000 -> 3.33E+4 Rounded Inexact
350 maxx481 max .5 1 -> 1
351 maxx482 max .5 10 -> 10
352 maxx483 max .5 100 -> 100
353 maxx484 max .5 1000 -> 1.00E+3 Rounded
354 maxx485 max .5 10000 -> 1.00E+4 Rounded
355 maxx486 max .5 6 -> 6
356 maxx487 max .5 66 -> 66
357 maxx488 max .5 666 -> 666
358 maxx489 max .5 6666 -> 6.67E+3 Rounded Inexact
359 maxx490 max .5 66666 -> 6.67E+4 Rounded Inexact
360 maxx491 max .5 33333 -> 3.33E+4 Rounded Inexact
361
362 -- overflow tests
363 maxexponent: 999999999
364 minexponent: -999999999
365 precision: 3
366 maxx500 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
367 maxx501 max -9.999E+999999999 0 -> 0
368
369 -- subnormals and underflow
370 precision: 3
371 maxexponent: 999
372 minexponent: -999
373 maxx510 max 1.00E-999 0 -> 1.00E-999
374 maxx511 max 0.1E-999 0 -> 1E-1000 Subnormal
375 maxx512 max 0.10E-999 0 -> 1.0E-1000 Subnormal
376 maxx513 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
377 maxx514 max 0.01E-999 0 -> 1E-1001 Subnormal
378 -- next is rounded to Nmin
379 maxx515 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
380 maxx516 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
381 maxx517 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
382 maxx518 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
383 maxx519 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
384 maxx520 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
385
386 maxx530 max -1.00E-999 0 -> 0
387 maxx531 max -0.1E-999 0 -> 0
388 maxx532 max -0.10E-999 0 -> 0
389 maxx533 max -0.100E-999 0 -> 0
390 maxx534 max -0.01E-999 0 -> 0
391 maxx535 max -0.999E-999 0 -> 0
392 maxx536 max -0.099E-999 0 -> 0
393 maxx537 max -0.009E-999 0 -> 0
394 maxx538 max -0.001E-999 0 -> 0
395 maxx539 max -0.0009E-999 0 -> 0
396 maxx540 max -0.0001E-999 0 -> 0
397
398 -- misalignment traps for little-endian
399 precision: 9
400 maxx551 max 1.0 0.1 -> 1.0
401 maxx552 max 0.1 1.0 -> 1.0
402 maxx553 max 10.0 0.1 -> 10.0
403 maxx554 max 0.1 10.0 -> 10.0
404 maxx555 max 100 1.0 -> 100
405 maxx556 max 1.0 100 -> 100
406 maxx557 max 1000 10.0 -> 1000
407 maxx558 max 10.0 1000 -> 1000
408 maxx559 max 10000 100.0 -> 10000
409 maxx560 max 100.0 10000 -> 10000
410 maxx661 max 100000 1000.0 -> 100000
411 maxx662 max 1000.0 100000 -> 100000
412 maxx663 max 1000000 10000.0 -> 1000000
413 maxx664 max 10000.0 1000000 -> 1000000
414
415 -- payload decapitate
416 precision: 5
417 maxx670 max 11 -sNaN12345678901 -> -NaN78901 Invalid_operation
418
419 -- Null tests
420 maxx900 max 10 # -> NaN Invalid_operation
421 maxx901 max # 10 -> NaN Invalid_operation
422
423
424
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