blob: dff758121ed438d60c211f30a86060f54759ab7a [file] [log] [blame]
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001------------------------------------------------------------------------
2-- min.decTest -- decimal minimum --
Benjamin Petersonf17ff4e2008-07-31 16:32:12 +00003-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00004------------------------------------------------------------------------
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------------------------------------------------------------------------
Mark Dickinson8a546532009-10-08 16:30:38 +000020version: 2.59
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000021
22-- we assume that base comparison is tested in compare.decTest, so
23-- these mainly cover special cases and rounding
24
25extended: 1
26precision: 9
27rounding: half_up
28maxExponent: 384
29minexponent: -383
30
31-- sanity checks
32mnmx001 min -2 -2 -> -2
33mnmx002 min -2 -1 -> -2
34mnmx003 min -2 0 -> -2
35mnmx004 min -2 1 -> -2
36mnmx005 min -2 2 -> -2
37mnmx006 min -1 -2 -> -2
38mnmx007 min -1 -1 -> -1
39mnmx008 min -1 0 -> -1
40mnmx009 min -1 1 -> -1
41mnmx010 min -1 2 -> -1
42mnmx011 min 0 -2 -> -2
43mnmx012 min 0 -1 -> -1
44mnmx013 min 0 0 -> 0
45mnmx014 min 0 1 -> 0
46mnmx015 min 0 2 -> 0
47mnmx016 min 1 -2 -> -2
48mnmx017 min 1 -1 -> -1
49mnmx018 min 1 0 -> 0
50mnmx019 min 1 1 -> 1
51mnmx020 min 1 2 -> 1
52mnmx021 min 2 -2 -> -2
53mnmx022 min 2 -1 -> -1
54mnmx023 min 2 0 -> 0
55mnmx025 min 2 1 -> 1
56mnmx026 min 2 2 -> 2
57
58-- extended zeros
59mnmx030 min 0 0 -> 0
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +000060mnmx031 min 0 -0 -> -0
61mnmx032 min 0 -0.0 -> -0.0
62mnmx033 min 0 0.0 -> 0.0
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000063mnmx034 min -0 0 -> -0
64mnmx035 min -0 -0 -> -0
65mnmx036 min -0 -0.0 -> -0
66mnmx037 min -0 0.0 -> -0
67mnmx038 min 0.0 0 -> 0.0
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +000068mnmx039 min 0.0 -0 -> -0
69mnmx040 min 0.0 -0.0 -> -0.0
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000070mnmx041 min 0.0 0.0 -> 0.0
71mnmx042 min -0.0 0 -> -0.0
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +000072mnmx043 min -0.0 -0 -> -0
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000073mnmx044 min -0.0 -0.0 -> -0.0
74mnmx045 min -0.0 0.0 -> -0.0
75
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +000076mnmx046 min 0E1 -0E1 -> -0E+1
77mnmx047 min -0E1 0E2 -> -0E+1
78mnmx048 min 0E2 0E1 -> 0E+1
79mnmx049 min 0E1 0E2 -> 0E+1
80mnmx050 min -0E3 -0E2 -> -0E+3
81mnmx051 min -0E2 -0E3 -> -0E+3
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000082
83-- Specials
84precision: 9
85mnmx090 min Inf -Inf -> -Infinity
86mnmx091 min Inf -1000 -> -1000
87mnmx092 min Inf -1 -> -1
88mnmx093 min Inf -0 -> -0
89mnmx094 min Inf 0 -> 0
90mnmx095 min Inf 1 -> 1
91mnmx096 min Inf 1000 -> 1000
92mnmx097 min Inf Inf -> Infinity
93mnmx098 min -1000 Inf -> -1000
94mnmx099 min -Inf Inf -> -Infinity
95mnmx100 min -1 Inf -> -1
96mnmx101 min -0 Inf -> -0
97mnmx102 min 0 Inf -> 0
98mnmx103 min 1 Inf -> 1
99mnmx104 min 1000 Inf -> 1000
100mnmx105 min Inf Inf -> Infinity
101
102mnmx120 min -Inf -Inf -> -Infinity
103mnmx121 min -Inf -1000 -> -Infinity
104mnmx122 min -Inf -1 -> -Infinity
105mnmx123 min -Inf -0 -> -Infinity
106mnmx124 min -Inf 0 -> -Infinity
107mnmx125 min -Inf 1 -> -Infinity
108mnmx126 min -Inf 1000 -> -Infinity
109mnmx127 min -Inf Inf -> -Infinity
110mnmx128 min -Inf -Inf -> -Infinity
111mnmx129 min -1000 -Inf -> -Infinity
112mnmx130 min -1 -Inf -> -Infinity
113mnmx131 min -0 -Inf -> -Infinity
114mnmx132 min 0 -Inf -> -Infinity
115mnmx133 min 1 -Inf -> -Infinity
116mnmx134 min 1000 -Inf -> -Infinity
117mnmx135 min Inf -Inf -> -Infinity
118
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000119-- 2004.08.02 754r chooses number over NaN in mixed cases
120mnmx141 min NaN -Inf -> -Infinity
121mnmx142 min NaN -1000 -> -1000
122mnmx143 min NaN -1 -> -1
123mnmx144 min NaN -0 -> -0
124mnmx145 min NaN 0 -> 0
125mnmx146 min NaN 1 -> 1
126mnmx147 min NaN 1000 -> 1000
127mnmx148 min NaN Inf -> Infinity
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000128mnmx149 min NaN NaN -> NaN
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000129mnmx150 min -Inf NaN -> -Infinity
130mnmx151 min -1000 NaN -> -1000
131mnmx152 min -1 -NaN -> -1
132mnmx153 min -0 NaN -> -0
133mnmx154 min 0 -NaN -> 0
134mnmx155 min 1 NaN -> 1
135mnmx156 min 1000 NaN -> 1000
136mnmx157 min Inf NaN -> Infinity
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000137
138mnmx161 min sNaN -Inf -> NaN Invalid_operation
139mnmx162 min sNaN -1000 -> NaN Invalid_operation
140mnmx163 min sNaN -1 -> NaN Invalid_operation
141mnmx164 min sNaN -0 -> NaN Invalid_operation
142mnmx165 min -sNaN 0 -> -NaN Invalid_operation
143mnmx166 min -sNaN 1 -> -NaN Invalid_operation
144mnmx167 min sNaN 1000 -> NaN Invalid_operation
145mnmx168 min sNaN NaN -> NaN Invalid_operation
146mnmx169 min sNaN sNaN -> NaN Invalid_operation
147mnmx170 min NaN sNaN -> NaN Invalid_operation
148mnmx171 min -Inf sNaN -> NaN Invalid_operation
149mnmx172 min -1000 sNaN -> NaN Invalid_operation
150mnmx173 min -1 sNaN -> NaN Invalid_operation
151mnmx174 min -0 sNaN -> NaN Invalid_operation
152mnmx175 min 0 sNaN -> NaN Invalid_operation
153mnmx176 min 1 sNaN -> NaN Invalid_operation
154mnmx177 min 1000 sNaN -> NaN Invalid_operation
155mnmx178 min Inf sNaN -> NaN Invalid_operation
156mnmx179 min NaN sNaN -> NaN Invalid_operation
157
158-- propagating NaNs
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000159mnmx181 min NaN9 -Inf -> -Infinity
160mnmx182 min -NaN8 9990 -> 9990
161mnmx183 min NaN71 Inf -> Infinity
162
163mnmx184 min NaN1 NaN54 -> NaN1
164mnmx185 min NaN22 -NaN53 -> NaN22
165mnmx186 min -NaN3 NaN6 -> -NaN3
166mnmx187 min -NaN44 NaN7 -> -NaN44
167
168mnmx188 min -Inf NaN41 -> -Infinity
169mnmx189 min -9999 -NaN33 -> -9999
170mnmx190 min Inf NaN2 -> Infinity
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000171
172mnmx191 min sNaN99 -Inf -> NaN99 Invalid_operation
173mnmx192 min sNaN98 -11 -> NaN98 Invalid_operation
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000174mnmx193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000175mnmx194 min sNaN69 sNaN94 -> NaN69 Invalid_operation
176mnmx195 min NaN95 sNaN93 -> NaN93 Invalid_operation
177mnmx196 min -Inf sNaN92 -> NaN92 Invalid_operation
178mnmx197 min 088 sNaN91 -> NaN91 Invalid_operation
179mnmx198 min Inf -sNaN90 -> -NaN90 Invalid_operation
180mnmx199 min NaN sNaN86 -> NaN86 Invalid_operation
181
182-- rounding checks -- chosen is rounded, or not
183maxExponent: 999
184minexponent: -999
185precision: 9
186mnmx201 min -12345678000 1 -> -1.23456780E+10 Rounded
187mnmx202 min 1 -12345678000 -> -1.23456780E+10 Rounded
188mnmx203 min -1234567800 1 -> -1.23456780E+9 Rounded
189mnmx204 min 1 -1234567800 -> -1.23456780E+9 Rounded
190mnmx205 min -1234567890 1 -> -1.23456789E+9 Rounded
191mnmx206 min 1 -1234567890 -> -1.23456789E+9 Rounded
192mnmx207 min -1234567891 1 -> -1.23456789E+9 Inexact Rounded
193mnmx208 min 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
194mnmx209 min -12345678901 1 -> -1.23456789E+10 Inexact Rounded
195mnmx210 min 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
196mnmx211 min -1234567896 1 -> -1.23456790E+9 Inexact Rounded
197mnmx212 min 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
198mnmx213 min 1234567891 1 -> 1
199mnmx214 min 1 1234567891 -> 1
200mnmx215 min 12345678901 1 -> 1
201mnmx216 min 1 12345678901 -> 1
202mnmx217 min 1234567896 1 -> 1
203mnmx218 min 1 1234567896 -> 1
204
205precision: 15
206mnmx221 min -12345678000 1 -> -12345678000
207mnmx222 min 1 -12345678000 -> -12345678000
208mnmx223 min -1234567800 1 -> -1234567800
209mnmx224 min 1 -1234567800 -> -1234567800
210mnmx225 min -1234567890 1 -> -1234567890
211mnmx226 min 1 -1234567890 -> -1234567890
212mnmx227 min -1234567891 1 -> -1234567891
213mnmx228 min 1 -1234567891 -> -1234567891
214mnmx229 min -12345678901 1 -> -12345678901
215mnmx230 min 1 -12345678901 -> -12345678901
216mnmx231 min -1234567896 1 -> -1234567896
217mnmx232 min 1 -1234567896 -> -1234567896
218mnmx233 min 1234567891 1 -> 1
219mnmx234 min 1 1234567891 -> 1
220mnmx235 min 12345678901 1 -> 1
221mnmx236 min 1 12345678901 -> 1
222mnmx237 min 1234567896 1 -> 1
223mnmx238 min 1 1234567896 -> 1
224
225-- from examples
226mnmx280 min '3' '2' -> '2'
227mnmx281 min '-10' '3' -> '-10'
228mnmx282 min '1.0' '1' -> '1.0'
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000229mnmx283 min '1' '1.0' -> '1.0'
230mnmx284 min '7' 'NaN' -> '7'
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000231
232-- overflow and underflow tests .. subnormal results [inputs] now allowed
233maxExponent: 999999999
234minexponent: -999999999
235mnmx330 min -1.23456789012345E-0 -9E+999999999 -> -9E+999999999
236mnmx331 min -9E+999999999 -1.23456789012345E-0 -> -9E+999999999
237mnmx332 min -0.100 -9E-999999999 -> -0.100
238mnmx333 min -9E-999999999 -0.100 -> -0.100
239mnmx335 min +1.23456789012345E-0 -9E+999999999 -> -9E+999999999
240mnmx336 min -9E+999999999 1.23456789012345E-0 -> -9E+999999999
241mnmx337 min +0.100 -9E-999999999 -> -9E-999999999
242mnmx338 min -9E-999999999 0.100 -> -9E-999999999
243
244mnmx339 min -1e-599999999 -1e-400000001 -> -1E-400000001
245mnmx340 min -1e-599999999 -1e-400000000 -> -1E-400000000
246mnmx341 min -1e-600000000 -1e-400000000 -> -1E-400000000
247mnmx342 min -9e-999999998 -0.01 -> -0.01
248mnmx343 min -9e-999999998 -0.1 -> -0.1
249mnmx344 min -0.01 -9e-999999998 -> -0.01
250mnmx345 min -1e599999999 -1e400000001 -> -1E+599999999
251mnmx346 min -1e599999999 -1e400000000 -> -1E+599999999
252mnmx347 min -1e600000000 -1e400000000 -> -1E+600000000
253mnmx348 min -9e999999998 -100 -> -9E+999999998
254mnmx349 min -9e999999998 -10 -> -9E+999999998
255mnmx350 min -100 -9e999999998 -> -9E+999999998
256-- signs
257mnmx351 min -1e+777777777 -1e+411111111 -> -1E+777777777
258mnmx352 min -1e+777777777 +1e+411111111 -> -1E+777777777
259mnmx353 min +1e+777777777 -1e+411111111 -> -1E+411111111
260mnmx354 min +1e+777777777 +1e+411111111 -> 1E+411111111
261mnmx355 min -1e-777777777 -1e-411111111 -> -1E-411111111
262mnmx356 min -1e-777777777 +1e-411111111 -> -1E-777777777
263mnmx357 min +1e-777777777 -1e-411111111 -> -1E-411111111
264mnmx358 min +1e-777777777 +1e-411111111 -> 1E-777777777
265
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000266-- expanded list from min/max 754r purple prose
267-- [explicit tests for exponent ordering]
268mnmx401 min Inf 1.1 -> 1.1
269mnmx402 min 1.1 1 -> 1
270mnmx403 min 1 1.0 -> 1.0
271mnmx404 min 1.0 0.1 -> 0.1
272mnmx405 min 0.1 0.10 -> 0.10
273mnmx406 min 0.10 0.100 -> 0.100
274mnmx407 min 0.10 0 -> 0
275mnmx408 min 0 0.0 -> 0.0
276mnmx409 min 0.0 -0 -> -0
277mnmx410 min 0.0 -0.0 -> -0.0
278mnmx411 min 0.00 -0.0 -> -0.0
279mnmx412 min 0.0 -0.00 -> -0.00
280mnmx413 min 0 -0.0 -> -0.0
281mnmx414 min 0 -0 -> -0
282mnmx415 min -0.0 -0 -> -0
283mnmx416 min -0 -0.100 -> -0.100
284mnmx417 min -0.100 -0.10 -> -0.10
285mnmx418 min -0.10 -0.1 -> -0.1
286mnmx419 min -0.1 -1.0 -> -1.0
287mnmx420 min -1.0 -1 -> -1
288mnmx421 min -1 -1.1 -> -1.1
289mnmx423 min -1.1 -Inf -> -Infinity
290-- same with operands reversed
291mnmx431 min 1.1 Inf -> 1.1
292mnmx432 min 1 1.1 -> 1
293mnmx433 min 1.0 1 -> 1.0
294mnmx434 min 0.1 1.0 -> 0.1
295mnmx435 min 0.10 0.1 -> 0.10
296mnmx436 min 0.100 0.10 -> 0.100
297mnmx437 min 0 0.10 -> 0
298mnmx438 min 0.0 0 -> 0.0
299mnmx439 min -0 0.0 -> -0
300mnmx440 min -0.0 0.0 -> -0.0
301mnmx441 min -0.0 0.00 -> -0.0
302mnmx442 min -0.00 0.0 -> -0.00
303mnmx443 min -0.0 0 -> -0.0
304mnmx444 min -0 0 -> -0
305mnmx445 min -0 -0.0 -> -0
306mnmx446 min -0.100 -0 -> -0.100
307mnmx447 min -0.10 -0.100 -> -0.10
308mnmx448 min -0.1 -0.10 -> -0.1
309mnmx449 min -1.0 -0.1 -> -1.0
310mnmx450 min -1 -1.0 -> -1
311mnmx451 min -1.1 -1 -> -1.1
312mnmx453 min -Inf -1.1 -> -Infinity
313-- largies
314mnmx460 min 1000 1E+3 -> 1000
315mnmx461 min 1E+3 1000 -> 1000
316mnmx462 min 1000 -1E+3 -> -1E+3
317mnmx463 min 1E+3 -1000 -> -1000
318mnmx464 min -1000 1E+3 -> -1000
319mnmx465 min -1E+3 1000 -> -1E+3
320mnmx466 min -1000 -1E+3 -> -1E+3
321mnmx467 min -1E+3 -1000 -> -1E+3
322
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000323-- rounding (results treated as though plus)
324maxexponent: 999999999
325minexponent: -999999999
326precision: 3
327
328mnmx470 min 1 5 -> 1
329mnmx471 min 10 50 -> 10
330mnmx472 min 100 500 -> 100
331mnmx473 min 1000 5000 -> 1.00E+3 Rounded
332mnmx474 min 10000 50000 -> 1.00E+4 Rounded
333mnmx475 min 6 50 -> 6
334mnmx476 min 66 500 -> 66
335mnmx477 min 666 5000 -> 666
336mnmx478 min 6666 50000 -> 6.67E+3 Rounded Inexact
337mnmx479 min 66666 500000 -> 6.67E+4 Rounded Inexact
338mnmx480 min 33333 500000 -> 3.33E+4 Rounded Inexact
339mnmx481 min 75401 1 -> 1
340mnmx482 min 75402 10 -> 10
341mnmx483 min 75403 100 -> 100
342mnmx484 min 75404 1000 -> 1.00E+3 Rounded
343mnmx485 min 75405 10000 -> 1.00E+4 Rounded
344mnmx486 min 75406 6 -> 6
345mnmx487 min 75407 66 -> 66
346mnmx488 min 75408 666 -> 666
347mnmx489 min 75409 6666 -> 6.67E+3 Rounded Inexact
348mnmx490 min 75410 66666 -> 6.67E+4 Rounded Inexact
349mnmx491 min 75411 33333 -> 3.33E+4 Rounded Inexact
350
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000351
352-- overflow tests
353maxexponent: 999999999
354minexponent: -999999999
355precision: 3
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000356mnmx500 min 9.999E+999999999 0 -> 0
357mnmx501 min -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000358
359-- subnormals and underflow
360precision: 3
361maxexponent: 999
362minexponent: -999
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000363mnmx510 min 1.00E-999 0 -> 0
364mnmx511 min 0.1E-999 0 -> 0
365mnmx512 min 0.10E-999 0 -> 0
366mnmx513 min 0.100E-999 0 -> 0
367mnmx514 min 0.01E-999 0 -> 0
368mnmx515 min 0.999E-999 0 -> 0
369mnmx516 min 0.099E-999 0 -> 0
370mnmx517 min 0.009E-999 0 -> 0
371mnmx518 min 0.001E-999 0 -> 0
372mnmx519 min 0.0009E-999 0 -> 0
373mnmx520 min 0.0001E-999 0 -> 0
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000374
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000375mnmx530 min -1.00E-999 0 -> -1.00E-999
376mnmx531 min -0.1E-999 0 -> -1E-1000 Subnormal
377mnmx532 min -0.10E-999 0 -> -1.0E-1000 Subnormal
378mnmx533 min -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
379mnmx534 min -0.01E-999 0 -> -1E-1001 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000380-- next is rounded to Nmin
Raymond Hettinger3ee3ed22004-08-17 06:42:13 +0000381mnmx535 min -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
382mnmx536 min -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
383mnmx537 min -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000384mnmx538 min -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
385mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
386mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000387
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000388-- misalignment traps for little-endian
389precision: 9
390mnmx551 min 1.0 0.1 -> 0.1
391mnmx552 min 0.1 1.0 -> 0.1
392mnmx553 min 10.0 0.1 -> 0.1
393mnmx554 min 0.1 10.0 -> 0.1
394mnmx555 min 100 1.0 -> 1.0
395mnmx556 min 1.0 100 -> 1.0
396mnmx557 min 1000 10.0 -> 10.0
397mnmx558 min 10.0 1000 -> 10.0
398mnmx559 min 10000 100.0 -> 100.0
399mnmx560 min 100.0 10000 -> 100.0
400mnmx561 min 100000 1000.0 -> 1000.0
401mnmx562 min 1000.0 100000 -> 1000.0
402mnmx563 min 1000000 10000.0 -> 10000.0
403mnmx564 min 10000.0 1000000 -> 10000.0
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000404
405-- Null tests
406mnm900 min 10 # -> NaN Invalid_operation
407mnm901 min # 10 -> NaN Invalid_operation