1 ------------------------------------------------------------------------
2 -- minmag.decTest -- decimal minimum by magnitude --
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 --
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. --
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 --
19 ------------------------------------------------------------------------
22 -- we assume that base comparison is tested in compare.decTest, so
23 -- these mainly cover special cases and rounding
32 mngx001 minmag -2 -2 -> -2
33 mngx002 minmag -2 -1 -> -1
34 mngx003 minmag -2 0 -> 0
35 mngx004 minmag -2 1 -> 1
36 mngx005 minmag -2 2 -> -2
37 mngx006 minmag -1 -2 -> -1
38 mngx007 minmag -1 -1 -> -1
39 mngx008 minmag -1 0 -> 0
40 mngx009 minmag -1 1 -> -1
41 mngx010 minmag -1 2 -> -1
42 mngx011 minmag 0 -2 -> 0
43 mngx012 minmag 0 -1 -> 0
44 mngx013 minmag 0 0 -> 0
45 mngx014 minmag 0 1 -> 0
46 mngx015 minmag 0 2 -> 0
47 mngx016 minmag 1 -2 -> 1
48 mngx017 minmag 1 -1 -> -1
49 mngx018 minmag 1 0 -> 0
50 mngx019 minmag 1 1 -> 1
51 mngx020 minmag 1 2 -> 1
52 mngx021 minmag 2 -2 -> -2
53 mngx022 minmag 2 -1 -> -1
54 mngx023 minmag 2 0 -> 0
55 mngx025 minmag 2 1 -> 1
56 mngx026 minmag 2 2 -> 2
59 mngx030 minmag 0 0 -> 0
60 mngx031 minmag 0 -0 -> -0
61 mngx032 minmag 0 -0.0 -> -0.0
62 mngx033 minmag 0 0.0 -> 0.0
63 mngx034 minmag -0 0 -> -0
64 mngx035 minmag -0 -0 -> -0
65 mngx036 minmag -0 -0.0 -> -0
66 mngx037 minmag -0 0.0 -> -0
67 mngx038 minmag 0.0 0 -> 0.0
68 mngx039 minmag 0.0 -0 -> -0
69 mngx040 minmag 0.0 -0.0 -> -0.0
70 mngx041 minmag 0.0 0.0 -> 0.0
71 mngx042 minmag -0.0 0 -> -0.0
72 mngx043 minmag -0.0 -0 -> -0
73 mngx044 minmag -0.0 -0.0 -> -0.0
74 mngx045 minmag -0.0 0.0 -> -0.0
76 mngx046 minmag 0E1 -0E1 -> -0E+1
77 mngx047 minmag -0E1 0E2 -> -0E+1
78 mngx048 minmag 0E2 0E1 -> 0E+1
79 mngx049 minmag 0E1 0E2 -> 0E+1
80 mngx050 minmag -0E3 -0E2 -> -0E+3
81 mngx051 minmag -0E2 -0E3 -> -0E+3
85 mngx090 minmag Inf -Inf -> -Infinity
86 mngx091 minmag Inf -1000 -> -1000
87 mngx092 minmag Inf -1 -> -1
88 mngx093 minmag Inf -0 -> -0
89 mngx094 minmag Inf 0 -> 0
90 mngx095 minmag Inf 1 -> 1
91 mngx096 minmag Inf 1000 -> 1000
92 mngx097 minmag Inf Inf -> Infinity
93 mngx098 minmag -1000 Inf -> -1000
94 mngx099 minmag -Inf Inf -> -Infinity
95 mngx100 minmag -1 Inf -> -1
96 mngx101 minmag -0 Inf -> -0
97 mngx102 minmag 0 Inf -> 0
98 mngx103 minmag 1 Inf -> 1
99 mngx104 minmag 1000 Inf -> 1000
100 mngx105 minmag Inf Inf -> Infinity
102 mngx120 minmag -Inf -Inf -> -Infinity
103 mngx121 minmag -Inf -1000 -> -1000
104 mngx122 minmag -Inf -1 -> -1
105 mngx123 minmag -Inf -0 -> -0
106 mngx124 minmag -Inf 0 -> 0
107 mngx125 minmag -Inf 1 -> 1
108 mngx126 minmag -Inf 1000 -> 1000
109 mngx127 minmag -Inf Inf -> -Infinity
110 mngx128 minmag -Inf -Inf -> -Infinity
111 mngx129 minmag -1000 -Inf -> -1000
112 mngx130 minmag -1 -Inf -> -1
113 mngx131 minmag -0 -Inf -> -0
114 mngx132 minmag 0 -Inf -> 0
115 mngx133 minmag 1 -Inf -> 1
116 mngx134 minmag 1000 -Inf -> 1000
117 mngx135 minmag Inf -Inf -> -Infinity
119 -- 2004.08.02 754r chooses number over NaN in mixed cases
120 mngx141 minmag NaN -Inf -> -Infinity
121 mngx142 minmag NaN -1000 -> -1000
122 mngx143 minmag NaN -1 -> -1
123 mngx144 minmag NaN -0 -> -0
124 mngx145 minmag NaN 0 -> 0
125 mngx146 minmag NaN 1 -> 1
126 mngx147 minmag NaN 1000 -> 1000
127 mngx148 minmag NaN Inf -> Infinity
128 mngx149 minmag NaN NaN -> NaN
129 mngx150 minmag -Inf NaN -> -Infinity
130 mngx151 minmag -1000 NaN -> -1000
131 mngx152 minmag -1 -NaN -> -1
132 mngx153 minmag -0 NaN -> -0
133 mngx154 minmag 0 -NaN -> 0
134 mngx155 minmag 1 NaN -> 1
135 mngx156 minmag 1000 NaN -> 1000
136 mngx157 minmag Inf NaN -> Infinity
138 mngx161 minmag sNaN -Inf -> NaN Invalid_operation
139 mngx162 minmag sNaN -1000 -> NaN Invalid_operation
140 mngx163 minmag sNaN -1 -> NaN Invalid_operation
141 mngx164 minmag sNaN -0 -> NaN Invalid_operation
142 mngx165 minmag -sNaN 0 -> -NaN Invalid_operation
143 mngx166 minmag -sNaN 1 -> -NaN Invalid_operation
144 mngx167 minmag sNaN 1000 -> NaN Invalid_operation
145 mngx168 minmag sNaN NaN -> NaN Invalid_operation
146 mngx169 minmag sNaN sNaN -> NaN Invalid_operation
147 mngx170 minmag NaN sNaN -> NaN Invalid_operation
148 mngx171 minmag -Inf sNaN -> NaN Invalid_operation
149 mngx172 minmag -1000 sNaN -> NaN Invalid_operation
150 mngx173 minmag -1 sNaN -> NaN Invalid_operation
151 mngx174 minmag -0 sNaN -> NaN Invalid_operation
152 mngx175 minmag 0 sNaN -> NaN Invalid_operation
153 mngx176 minmag 1 sNaN -> NaN Invalid_operation
154 mngx177 minmag 1000 sNaN -> NaN Invalid_operation
155 mngx178 minmag Inf sNaN -> NaN Invalid_operation
156 mngx179 minmag NaN sNaN -> NaN Invalid_operation
159 mngx181 minmag NaN9 -Inf -> -Infinity
160 mngx182 minmag -NaN8 9990 -> 9990
161 mngx183 minmag NaN71 Inf -> Infinity
163 mngx184 minmag NaN1 NaN54 -> NaN1
164 mngx185 minmag NaN22 -NaN53 -> NaN22
165 mngx186 minmag -NaN3 NaN6 -> -NaN3
166 mngx187 minmag -NaN44 NaN7 -> -NaN44
168 mngx188 minmag -Inf NaN41 -> -Infinity
169 mngx189 minmag -9999 -NaN33 -> -9999
170 mngx190 minmag Inf NaN2 -> Infinity
172 mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation
173 mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation
174 mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation
175 mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation
176 mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation
177 mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation
178 mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation
179 mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation
180 mngx199 minmag NaN sNaN86 -> NaN86 Invalid_operation
182 -- rounding checks -- chosen is rounded, or not
186 mngx201 minmag -12345678000 1 -> 1
187 mngx202 minmag 1 -12345678000 -> 1
188 mngx203 minmag -1234567800 1 -> 1
189 mngx204 minmag 1 -1234567800 -> 1
190 mngx205 minmag -1234567890 1 -> 1
191 mngx206 minmag 1 -1234567890 -> 1
192 mngx207 minmag -1234567891 1 -> 1
193 mngx208 minmag 1 -1234567891 -> 1
194 mngx209 minmag -12345678901 1 -> 1
195 mngx210 minmag 1 -12345678901 -> 1
196 mngx211 minmag -1234567896 1 -> 1
197 mngx212 minmag 1 -1234567896 -> 1
198 mngx213 minmag 1234567891 1 -> 1
199 mngx214 minmag 1 1234567891 -> 1
200 mngx215 minmag 12345678901 1 -> 1
201 mngx216 minmag 1 12345678901 -> 1
202 mngx217 minmag 1234567896 1 -> 1
203 mngx218 minmag 1 1234567896 -> 1
206 mngx221 minmag -12345678000 1 -> 1
207 mngx222 minmag 1 -12345678000 -> 1
208 mngx223 minmag -1234567800 1 -> 1
209 mngx224 minmag 1 -1234567800 -> 1
210 mngx225 minmag -1234567890 1 -> 1
211 mngx226 minmag 1 -1234567890 -> 1
212 mngx227 minmag -1234567891 1 -> 1
213 mngx228 minmag 1 -1234567891 -> 1
214 mngx229 minmag -12345678901 1 -> 1
215 mngx230 minmag 1 -12345678901 -> 1
216 mngx231 minmag -1234567896 1 -> 1
217 mngx232 minmag 1 -1234567896 -> 1
218 mngx233 minmag 1234567891 1 -> 1
219 mngx234 minmag 1 1234567891 -> 1
220 mngx235 minmag 12345678901 1 -> 1
221 mngx236 minmag 1 12345678901 -> 1
222 mngx237 minmag 1234567896 1 -> 1
223 mngx238 minmag 1 1234567896 -> 1
226 mngx280 minmag '3' '2' -> '2'
227 mngx281 minmag '-10' '3' -> '3'
228 mngx282 minmag '1.0' '1' -> '1.0'
229 mngx283 minmag '1' '1.0' -> '1.0'
230 mngx284 minmag '7' 'NaN' -> '7'
232 -- overflow and underflow tests .. subnormal results [inputs] now allowed
233 maxExponent: 999999999
234 minexponent: -999999999
235 mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345
236 mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345
237 mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999
238 mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999
239 mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345
240 mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345
241 mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999
242 mngx338 minmag -9E-999999999 0.100 -> -9E-999999999
244 mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999
245 mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999
246 mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000
247 mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998
248 mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998
249 mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998
250 mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001
251 mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000
252 mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000
253 mngx348 minmag -9e999999998 -100 -> -100
254 mngx349 minmag -9e999999998 -10 -> -10
255 mngx350 minmag -100 -9e999999998 -> -100
257 mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111
258 mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111
259 mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111
260 mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111
261 mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777
262 mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777
263 mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777
264 mngx358 minmag +1e-777777777 +1e-411111111 -> 1E-777777777
266 -- expanded list from min/max 754r purple prose
267 -- [explicit tests for exponent ordering]
268 mngx401 minmag Inf 1.1 -> 1.1
269 mngx402 minmag 1.1 1 -> 1
270 mngx403 minmag 1 1.0 -> 1.0
271 mngx404 minmag 1.0 0.1 -> 0.1
272 mngx405 minmag 0.1 0.10 -> 0.10
273 mngx406 minmag 0.10 0.100 -> 0.100
274 mngx407 minmag 0.10 0 -> 0
275 mngx408 minmag 0 0.0 -> 0.0
276 mngx409 minmag 0.0 -0 -> -0
277 mngx410 minmag 0.0 -0.0 -> -0.0
278 mngx411 minmag 0.00 -0.0 -> -0.0
279 mngx412 minmag 0.0 -0.00 -> -0.00
280 mngx413 minmag 0 -0.0 -> -0.0
281 mngx414 minmag 0 -0 -> -0
282 mngx415 minmag -0.0 -0 -> -0
283 mngx416 minmag -0 -0.100 -> -0
284 mngx417 minmag -0.100 -0.10 -> -0.10
285 mngx418 minmag -0.10 -0.1 -> -0.1
286 mngx419 minmag -0.1 -1.0 -> -0.1
287 mngx420 minmag -1.0 -1 -> -1
288 mngx421 minmag -1 -1.1 -> -1
289 mngx423 minmag -1.1 -Inf -> -1.1
290 -- same with operands reversed
291 mngx431 minmag 1.1 Inf -> 1.1
292 mngx432 minmag 1 1.1 -> 1
293 mngx433 minmag 1.0 1 -> 1.0
294 mngx434 minmag 0.1 1.0 -> 0.1
295 mngx435 minmag 0.10 0.1 -> 0.10
296 mngx436 minmag 0.100 0.10 -> 0.100
297 mngx437 minmag 0 0.10 -> 0
298 mngx438 minmag 0.0 0 -> 0.0
299 mngx439 minmag -0 0.0 -> -0
300 mngx440 minmag -0.0 0.0 -> -0.0
301 mngx441 minmag -0.0 0.00 -> -0.0
302 mngx442 minmag -0.00 0.0 -> -0.00
303 mngx443 minmag -0.0 0 -> -0.0
304 mngx444 minmag -0 0 -> -0
305 mngx445 minmag -0 -0.0 -> -0
306 mngx446 minmag -0.100 -0 -> -0
307 mngx447 minmag -0.10 -0.100 -> -0.10
308 mngx448 minmag -0.1 -0.10 -> -0.1
309 mngx449 minmag -1.0 -0.1 -> -0.1
310 mngx450 minmag -1 -1.0 -> -1
311 mngx451 minmag -1.1 -1 -> -1
312 mngx453 minmag -Inf -1.1 -> -1.1
314 mngx460 minmag 1000 1E+3 -> 1000
315 mngx461 minmag 1E+3 1000 -> 1000
316 mngx462 minmag 1000 -1E+3 -> -1E+3
317 mngx463 minmag 1E+3 -1000 -> -1000
318 mngx464 minmag -1000 1E+3 -> -1000
319 mngx465 minmag -1E+3 1000 -> -1E+3
320 mngx466 minmag -1000 -1E+3 -> -1E+3
321 mngx467 minmag -1E+3 -1000 -> -1E+3
323 -- rounding (results treated as though plus)
324 maxexponent: 999999999
325 minexponent: -999999999
328 mngx470 minmag 1 5 -> 1
329 mngx471 minmag 10 50 -> 10
330 mngx472 minmag 100 500 -> 100
331 mngx473 minmag 1000 5000 -> 1.00E+3 Rounded
332 mngx474 minmag 10000 50000 -> 1.00E+4 Rounded
333 mngx475 minmag 6 50 -> 6
334 mngx476 minmag 66 500 -> 66
335 mngx477 minmag 666 5000 -> 666
336 mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact
337 mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact
338 mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact
339 mngx481 minmag 75401 1 -> 1
340 mngx482 minmag 75402 10 -> 10
341 mngx483 minmag 75403 100 -> 100
342 mngx484 minmag 75404 1000 -> 1.00E+3 Rounded
343 mngx485 minmag 75405 10000 -> 1.00E+4 Rounded
344 mngx486 minmag 75406 6 -> 6
345 mngx487 minmag 75407 66 -> 66
346 mngx488 minmag 75408 666 -> 666
347 mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact
348 mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact
349 mngx491 minmag 75411 33333 -> 3.33E+4 Rounded Inexact
353 maxexponent: 999999999
354 minexponent: -999999999
356 mngx500 minmag 9.999E+999999999 0 -> 0
357 mngx501 minmag -9.999E+999999999 0 -> 0
359 -- subnormals and underflow
363 mngx510 minmag 1.00E-999 0 -> 0
364 mngx511 minmag 0.1E-999 0 -> 0
365 mngx512 minmag 0.10E-999 0 -> 0
366 mngx513 minmag 0.100E-999 0 -> 0
367 mngx514 minmag 0.01E-999 0 -> 0
368 mngx515 minmag 0.999E-999 0 -> 0
369 mngx516 minmag 0.099E-999 0 -> 0
370 mngx517 minmag 0.009E-999 0 -> 0
371 mngx518 minmag 0.001E-999 0 -> 0
372 mngx519 minmag 0.0009E-999 0 -> 0
373 mngx520 minmag 0.0001E-999 0 -> 0
375 mngx530 minmag -1.00E-999 0 -> 0
376 mngx531 minmag -0.1E-999 0 -> 0
377 mngx532 minmag -0.10E-999 0 -> 0
378 mngx533 minmag -0.100E-999 0 -> 0
379 mngx534 minmag -0.01E-999 0 -> 0
380 mngx535 minmag -0.999E-999 0 -> 0
381 mngx536 minmag -0.099E-999 0 -> 0
382 mngx537 minmag -0.009E-999 0 -> 0
383 mngx538 minmag -0.001E-999 0 -> 0
384 mngx539 minmag -0.0009E-999 0 -> 0
385 mngx540 minmag -0.0001E-999 0 -> 0
389 mng900 minmag 10 # -> NaN Invalid_operation
390 mng901 minmag # 10 -> NaN Invalid_operation
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