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4710c53d 1------------------------------------------------------------------------\r
2-- max.decTest -- decimal maximum --\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
24\r
25extended: 1\r
26precision: 9\r
27rounding: half_up\r
28maxExponent: 384\r
29minexponent: -383\r
30\r
31-- sanity checks\r
32maxx001 max -2 -2 -> -2\r
33maxx002 max -2 -1 -> -1\r
34maxx003 max -2 0 -> 0\r
35maxx004 max -2 1 -> 1\r
36maxx005 max -2 2 -> 2\r
37maxx006 max -1 -2 -> -1\r
38maxx007 max -1 -1 -> -1\r
39maxx008 max -1 0 -> 0\r
40maxx009 max -1 1 -> 1\r
41maxx010 max -1 2 -> 2\r
42maxx011 max 0 -2 -> 0\r
43maxx012 max 0 -1 -> 0\r
44maxx013 max 0 0 -> 0\r
45maxx014 max 0 1 -> 1\r
46maxx015 max 0 2 -> 2\r
47maxx016 max 1 -2 -> 1\r
48maxx017 max 1 -1 -> 1\r
49maxx018 max 1 0 -> 1\r
50maxx019 max 1 1 -> 1\r
51maxx020 max 1 2 -> 2\r
52maxx021 max 2 -2 -> 2\r
53maxx022 max 2 -1 -> 2\r
54maxx023 max 2 0 -> 2\r
55maxx025 max 2 1 -> 2\r
56maxx026 max 2 2 -> 2\r
57\r
58-- extended zeros\r
59maxx030 max 0 0 -> 0\r
60maxx031 max 0 -0 -> 0\r
61maxx032 max 0 -0.0 -> 0\r
62maxx033 max 0 0.0 -> 0\r
63maxx034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen\r
64maxx035 max -0 -0 -> -0\r
65maxx036 max -0 -0.0 -> -0.0\r
66maxx037 max -0 0.0 -> 0.0\r
67maxx038 max 0.0 0 -> 0\r
68maxx039 max 0.0 -0 -> 0.0\r
69maxx040 max 0.0 -0.0 -> 0.0\r
70maxx041 max 0.0 0.0 -> 0.0\r
71maxx042 max -0.0 0 -> 0\r
72maxx043 max -0.0 -0 -> -0.0\r
73maxx044 max -0.0 -0.0 -> -0.0\r
74maxx045 max -0.0 0.0 -> 0.0\r
75\r
76maxx050 max -0E1 0E1 -> 0E+1\r
77maxx051 max -0E2 0E2 -> 0E+2\r
78maxx052 max -0E2 0E1 -> 0E+1\r
79maxx053 max -0E1 0E2 -> 0E+2\r
80maxx054 max 0E1 -0E1 -> 0E+1\r
81maxx055 max 0E2 -0E2 -> 0E+2\r
82maxx056 max 0E2 -0E1 -> 0E+2\r
83maxx057 max 0E1 -0E2 -> 0E+1\r
84\r
85maxx058 max 0E1 0E1 -> 0E+1\r
86maxx059 max 0E2 0E2 -> 0E+2\r
87maxx060 max 0E2 0E1 -> 0E+2\r
88maxx061 max 0E1 0E2 -> 0E+2\r
89maxx062 max -0E1 -0E1 -> -0E+1\r
90maxx063 max -0E2 -0E2 -> -0E+2\r
91maxx064 max -0E2 -0E1 -> -0E+1\r
92maxx065 max -0E1 -0E2 -> -0E+1\r
93\r
94-- Specials\r
95precision: 9\r
96maxx090 max Inf -Inf -> Infinity\r
97maxx091 max Inf -1000 -> Infinity\r
98maxx092 max Inf -1 -> Infinity\r
99maxx093 max Inf -0 -> Infinity\r
100maxx094 max Inf 0 -> Infinity\r
101maxx095 max Inf 1 -> Infinity\r
102maxx096 max Inf 1000 -> Infinity\r
103maxx097 max Inf Inf -> Infinity\r
104maxx098 max -1000 Inf -> Infinity\r
105maxx099 max -Inf Inf -> Infinity\r
106maxx100 max -1 Inf -> Infinity\r
107maxx101 max -0 Inf -> Infinity\r
108maxx102 max 0 Inf -> Infinity\r
109maxx103 max 1 Inf -> Infinity\r
110maxx104 max 1000 Inf -> Infinity\r
111maxx105 max Inf Inf -> Infinity\r
112\r
113maxx120 max -Inf -Inf -> -Infinity\r
114maxx121 max -Inf -1000 -> -1000\r
115maxx122 max -Inf -1 -> -1\r
116maxx123 max -Inf -0 -> -0\r
117maxx124 max -Inf 0 -> 0\r
118maxx125 max -Inf 1 -> 1\r
119maxx126 max -Inf 1000 -> 1000\r
120maxx127 max -Inf Inf -> Infinity\r
121maxx128 max -Inf -Inf -> -Infinity\r
122maxx129 max -1000 -Inf -> -1000\r
123maxx130 max -1 -Inf -> -1\r
124maxx131 max -0 -Inf -> -0\r
125maxx132 max 0 -Inf -> 0\r
126maxx133 max 1 -Inf -> 1\r
127maxx134 max 1000 -Inf -> 1000\r
128maxx135 max Inf -Inf -> Infinity\r
129\r
130-- 2004.08.02 754r chooses number over NaN in mixed cases\r
131maxx141 max NaN -Inf -> -Infinity\r
132maxx142 max NaN -1000 -> -1000\r
133maxx143 max NaN -1 -> -1\r
134maxx144 max NaN -0 -> -0\r
135maxx145 max NaN 0 -> 0\r
136maxx146 max NaN 1 -> 1\r
137maxx147 max NaN 1000 -> 1000\r
138maxx148 max NaN Inf -> Infinity\r
139maxx149 max NaN NaN -> NaN\r
140maxx150 max -Inf NaN -> -Infinity\r
141maxx151 max -1000 NaN -> -1000\r
142maxx152 max -1 NaN -> -1\r
143maxx153 max -0 NaN -> -0\r
144maxx154 max 0 NaN -> 0\r
145maxx155 max 1 NaN -> 1\r
146maxx156 max 1000 NaN -> 1000\r
147maxx157 max Inf NaN -> Infinity\r
148\r
149maxx161 max sNaN -Inf -> NaN Invalid_operation\r
150maxx162 max sNaN -1000 -> NaN Invalid_operation\r
151maxx163 max sNaN -1 -> NaN Invalid_operation\r
152maxx164 max sNaN -0 -> NaN Invalid_operation\r
153maxx165 max sNaN 0 -> NaN Invalid_operation\r
154maxx166 max sNaN 1 -> NaN Invalid_operation\r
155maxx167 max sNaN 1000 -> NaN Invalid_operation\r
156maxx168 max sNaN NaN -> NaN Invalid_operation\r
157maxx169 max sNaN sNaN -> NaN Invalid_operation\r
158maxx170 max NaN sNaN -> NaN Invalid_operation\r
159maxx171 max -Inf sNaN -> NaN Invalid_operation\r
160maxx172 max -1000 sNaN -> NaN Invalid_operation\r
161maxx173 max -1 sNaN -> NaN Invalid_operation\r
162maxx174 max -0 sNaN -> NaN Invalid_operation\r
163maxx175 max 0 sNaN -> NaN Invalid_operation\r
164maxx176 max 1 sNaN -> NaN Invalid_operation\r
165maxx177 max 1000 sNaN -> NaN Invalid_operation\r
166maxx178 max Inf sNaN -> NaN Invalid_operation\r
167maxx179 max NaN sNaN -> NaN Invalid_operation\r
168\r
169-- propagating NaNs\r
170maxx181 max NaN9 -Inf -> -Infinity\r
171maxx182 max NaN8 9 -> 9\r
172maxx183 max -NaN7 Inf -> Infinity\r
173\r
174maxx184 max -NaN1 NaN11 -> -NaN1\r
175maxx185 max NaN2 NaN12 -> NaN2\r
176maxx186 max -NaN13 -NaN7 -> -NaN13\r
177maxx187 max NaN14 -NaN5 -> NaN14\r
178\r
179maxx188 max -Inf NaN4 -> -Infinity\r
180maxx189 max -9 -NaN3 -> -9\r
181maxx190 max Inf NaN2 -> Infinity\r
182\r
183maxx191 max sNaN99 -Inf -> NaN99 Invalid_operation\r
184maxx192 max sNaN98 -1 -> NaN98 Invalid_operation\r
185maxx193 max -sNaN97 NaN -> -NaN97 Invalid_operation\r
186maxx194 max sNaN96 sNaN94 -> NaN96 Invalid_operation\r
187maxx195 max NaN95 sNaN93 -> NaN93 Invalid_operation\r
188maxx196 max -Inf sNaN92 -> NaN92 Invalid_operation\r
189maxx197 max 0 sNaN91 -> NaN91 Invalid_operation\r
190maxx198 max Inf -sNaN90 -> -NaN90 Invalid_operation\r
191maxx199 max NaN sNaN89 -> NaN89 Invalid_operation\r
192\r
193-- rounding checks\r
194maxexponent: 999\r
195minexponent: -999\r
196precision: 9\r
197maxx201 max 12345678000 1 -> 1.23456780E+10 Rounded\r
198maxx202 max 1 12345678000 -> 1.23456780E+10 Rounded\r
199maxx203 max 1234567800 1 -> 1.23456780E+9 Rounded\r
200maxx204 max 1 1234567800 -> 1.23456780E+9 Rounded\r
201maxx205 max 1234567890 1 -> 1.23456789E+9 Rounded\r
202maxx206 max 1 1234567890 -> 1.23456789E+9 Rounded\r
203maxx207 max 1234567891 1 -> 1.23456789E+9 Inexact Rounded\r
204maxx208 max 1 1234567891 -> 1.23456789E+9 Inexact Rounded\r
205maxx209 max 12345678901 1 -> 1.23456789E+10 Inexact Rounded\r
206maxx210 max 1 12345678901 -> 1.23456789E+10 Inexact Rounded\r
207maxx211 max 1234567896 1 -> 1.23456790E+9 Inexact Rounded\r
208maxx212 max 1 1234567896 -> 1.23456790E+9 Inexact Rounded\r
209maxx213 max -1234567891 1 -> 1\r
210maxx214 max 1 -1234567891 -> 1\r
211maxx215 max -12345678901 1 -> 1\r
212maxx216 max 1 -12345678901 -> 1\r
213maxx217 max -1234567896 1 -> 1\r
214maxx218 max 1 -1234567896 -> 1\r
215\r
216precision: 15\r
217maxx221 max 12345678000 1 -> 12345678000\r
218maxx222 max 1 12345678000 -> 12345678000\r
219maxx223 max 1234567800 1 -> 1234567800\r
220maxx224 max 1 1234567800 -> 1234567800\r
221maxx225 max 1234567890 1 -> 1234567890\r
222maxx226 max 1 1234567890 -> 1234567890\r
223maxx227 max 1234567891 1 -> 1234567891\r
224maxx228 max 1 1234567891 -> 1234567891\r
225maxx229 max 12345678901 1 -> 12345678901\r
226maxx230 max 1 12345678901 -> 12345678901\r
227maxx231 max 1234567896 1 -> 1234567896\r
228maxx232 max 1 1234567896 -> 1234567896\r
229maxx233 max -1234567891 1 -> 1\r
230maxx234 max 1 -1234567891 -> 1\r
231maxx235 max -12345678901 1 -> 1\r
232maxx236 max 1 -12345678901 -> 1\r
233maxx237 max -1234567896 1 -> 1\r
234maxx238 max 1 -1234567896 -> 1\r
235\r
236-- from examples\r
237maxx280 max '3' '2' -> '3'\r
238maxx281 max '-10' '3' -> '3'\r
239maxx282 max '1.0' '1' -> '1'\r
240maxx283 max '1' '1.0' -> '1'\r
241maxx284 max '7' 'NaN' -> '7'\r
242\r
243-- overflow and underflow tests ...\r
244maxExponent: 999999999\r
245minexponent: -999999999\r
246maxx330 max +1.23456789012345E-0 9E+999999999 -> 9E+999999999\r
247maxx331 max 9E+999999999 +1.23456789012345E-0 -> 9E+999999999\r
248maxx332 max +0.100 9E-999999999 -> 0.100\r
249maxx333 max 9E-999999999 +0.100 -> 0.100\r
250maxx335 max -1.23456789012345E-0 9E+999999999 -> 9E+999999999\r
251maxx336 max 9E+999999999 -1.23456789012345E-0 -> 9E+999999999\r
252maxx337 max -0.100 9E-999999999 -> 9E-999999999\r
253maxx338 max 9E-999999999 -0.100 -> 9E-999999999\r
254\r
255maxx339 max 1e-599999999 1e-400000001 -> 1E-400000001\r
256maxx340 max 1e-599999999 1e-400000000 -> 1E-400000000\r
257maxx341 max 1e-600000000 1e-400000000 -> 1E-400000000\r
258maxx342 max 9e-999999998 0.01 -> 0.01\r
259maxx343 max 9e-999999998 0.1 -> 0.1\r
260maxx344 max 0.01 9e-999999998 -> 0.01\r
261maxx345 max 1e599999999 1e400000001 -> 1E+599999999\r
262maxx346 max 1e599999999 1e400000000 -> 1E+599999999\r
263maxx347 max 1e600000000 1e400000000 -> 1E+600000000\r
264maxx348 max 9e999999998 100 -> 9E+999999998\r
265maxx349 max 9e999999998 10 -> 9E+999999998\r
266maxx350 max 100 9e999999998 -> 9E+999999998\r
267-- signs\r
268maxx351 max 1e+777777777 1e+411111111 -> 1E+777777777\r
269maxx352 max 1e+777777777 -1e+411111111 -> 1E+777777777\r
270maxx353 max -1e+777777777 1e+411111111 -> 1E+411111111\r
271maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111\r
272maxx355 max 1e-777777777 1e-411111111 -> 1E-411111111\r
273maxx356 max 1e-777777777 -1e-411111111 -> 1E-777777777\r
274maxx357 max -1e-777777777 1e-411111111 -> 1E-411111111\r
275maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777\r
276\r
277-- expanded list from min/max 754r purple prose\r
278-- [explicit tests for exponent ordering]\r
279maxx401 max Inf 1.1 -> Infinity\r
280maxx402 max 1.1 1 -> 1.1\r
281maxx403 max 1 1.0 -> 1\r
282maxx404 max 1.0 0.1 -> 1.0\r
283maxx405 max 0.1 0.10 -> 0.1\r
284maxx406 max 0.10 0.100 -> 0.10\r
285maxx407 max 0.10 0 -> 0.10\r
286maxx408 max 0 0.0 -> 0\r
287maxx409 max 0.0 -0 -> 0.0\r
288maxx410 max 0.0 -0.0 -> 0.0\r
289maxx411 max 0.00 -0.0 -> 0.00\r
290maxx412 max 0.0 -0.00 -> 0.0\r
291maxx413 max 0 -0.0 -> 0\r
292maxx414 max 0 -0 -> 0\r
293maxx415 max -0.0 -0 -> -0.0\r
294maxx416 max -0 -0.100 -> -0\r
295maxx417 max -0.100 -0.10 -> -0.100\r
296maxx418 max -0.10 -0.1 -> -0.10\r
297maxx419 max -0.1 -1.0 -> -0.1\r
298maxx420 max -1.0 -1 -> -1.0\r
299maxx421 max -1 -1.1 -> -1\r
300maxx423 max -1.1 -Inf -> -1.1\r
301-- same with operands reversed\r
302maxx431 max 1.1 Inf -> Infinity\r
303maxx432 max 1 1.1 -> 1.1\r
304maxx433 max 1.0 1 -> 1\r
305maxx434 max 0.1 1.0 -> 1.0\r
306maxx435 max 0.10 0.1 -> 0.1\r
307maxx436 max 0.100 0.10 -> 0.10\r
308maxx437 max 0 0.10 -> 0.10\r
309maxx438 max 0.0 0 -> 0\r
310maxx439 max -0 0.0 -> 0.0\r
311maxx440 max -0.0 0.0 -> 0.0\r
312maxx441 max -0.0 0.00 -> 0.00\r
313maxx442 max -0.00 0.0 -> 0.0\r
314maxx443 max -0.0 0 -> 0\r
315maxx444 max -0 0 -> 0\r
316maxx445 max -0 -0.0 -> -0.0\r
317maxx446 max -0.100 -0 -> -0\r
318maxx447 max -0.10 -0.100 -> -0.100\r
319maxx448 max -0.1 -0.10 -> -0.10\r
320maxx449 max -1.0 -0.1 -> -0.1\r
321maxx450 max -1 -1.0 -> -1.0\r
322maxx451 max -1.1 -1 -> -1\r
323maxx453 max -Inf -1.1 -> -1.1\r
324-- largies\r
325maxx460 max 1000 1E+3 -> 1E+3\r
326maxx461 max 1E+3 1000 -> 1E+3\r
327maxx462 max 1000 -1E+3 -> 1000\r
328maxx463 max 1E+3 -1000 -> 1E+3\r
329maxx464 max -1000 1E+3 -> 1E+3\r
330maxx465 max -1E+3 1000 -> 1000\r
331maxx466 max -1000 -1E+3 -> -1000\r
332maxx467 max -1E+3 -1000 -> -1000\r
333\r
334-- rounding (results treated as though plus)\r
335maxexponent: 999999999\r
336minexponent: -999999999\r
337precision: 3\r
338\r
339maxx470 max 1 .5 -> 1\r
340maxx471 max 10 5 -> 10\r
341maxx472 max 100 50 -> 100\r
342maxx473 max 1000 500 -> 1.00E+3 Rounded\r
343maxx474 max 10000 5000 -> 1.00E+4 Rounded\r
344maxx475 max 6 .5 -> 6\r
345maxx476 max 66 5 -> 66\r
346maxx477 max 666 50 -> 666\r
347maxx478 max 6666 500 -> 6.67E+3 Rounded Inexact\r
348maxx479 max 66666 5000 -> 6.67E+4 Rounded Inexact\r
349maxx480 max 33333 5000 -> 3.33E+4 Rounded Inexact\r
350maxx481 max .5 1 -> 1\r
351maxx482 max .5 10 -> 10\r
352maxx483 max .5 100 -> 100\r
353maxx484 max .5 1000 -> 1.00E+3 Rounded\r
354maxx485 max .5 10000 -> 1.00E+4 Rounded\r
355maxx486 max .5 6 -> 6\r
356maxx487 max .5 66 -> 66\r
357maxx488 max .5 666 -> 666\r
358maxx489 max .5 6666 -> 6.67E+3 Rounded Inexact\r
359maxx490 max .5 66666 -> 6.67E+4 Rounded Inexact\r
360maxx491 max .5 33333 -> 3.33E+4 Rounded Inexact\r
361\r
362-- overflow tests\r
363maxexponent: 999999999\r
364minexponent: -999999999\r
365precision: 3\r
366maxx500 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded\r
367maxx501 max -9.999E+999999999 0 -> 0\r
368\r
369-- subnormals and underflow\r
370precision: 3\r
371maxexponent: 999\r
372minexponent: -999\r
373maxx510 max 1.00E-999 0 -> 1.00E-999\r
374maxx511 max 0.1E-999 0 -> 1E-1000 Subnormal\r
375maxx512 max 0.10E-999 0 -> 1.0E-1000 Subnormal\r
376maxx513 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded\r
377maxx514 max 0.01E-999 0 -> 1E-1001 Subnormal\r
378-- next is rounded to Nmin\r
379maxx515 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow\r
380maxx516 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow\r
381maxx517 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow\r
382maxx518 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped\r
383maxx519 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped\r
384maxx520 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped\r
385\r
386maxx530 max -1.00E-999 0 -> 0\r
387maxx531 max -0.1E-999 0 -> 0\r
388maxx532 max -0.10E-999 0 -> 0\r
389maxx533 max -0.100E-999 0 -> 0\r
390maxx534 max -0.01E-999 0 -> 0\r
391maxx535 max -0.999E-999 0 -> 0\r
392maxx536 max -0.099E-999 0 -> 0\r
393maxx537 max -0.009E-999 0 -> 0\r
394maxx538 max -0.001E-999 0 -> 0\r
395maxx539 max -0.0009E-999 0 -> 0\r
396maxx540 max -0.0001E-999 0 -> 0\r
397\r
398-- misalignment traps for little-endian\r
399precision: 9\r
400maxx551 max 1.0 0.1 -> 1.0\r
401maxx552 max 0.1 1.0 -> 1.0\r
402maxx553 max 10.0 0.1 -> 10.0\r
403maxx554 max 0.1 10.0 -> 10.0\r
404maxx555 max 100 1.0 -> 100\r
405maxx556 max 1.0 100 -> 100\r
406maxx557 max 1000 10.0 -> 1000\r
407maxx558 max 10.0 1000 -> 1000\r
408maxx559 max 10000 100.0 -> 10000\r
409maxx560 max 100.0 10000 -> 10000\r
410maxx661 max 100000 1000.0 -> 100000\r
411maxx662 max 1000.0 100000 -> 100000\r
412maxx663 max 1000000 10000.0 -> 1000000\r
413maxx664 max 10000.0 1000000 -> 1000000\r
414\r
415-- payload decapitate\r
416precision: 5\r
417maxx670 max 11 -sNaN12345678901 -> -NaN78901 Invalid_operation\r
418\r
419-- Null tests\r
420maxx900 max 10 # -> NaN Invalid_operation\r
421maxx901 max # 10 -> NaN Invalid_operation\r
422\r
423\r
424\r