blob: 9e562339eb6fe2d333296df5bc2aa5b6abea03ab [file] [log] [blame]
Thomas Wouters1b7f8912007-09-19 03:06:30 +00001------------------------------------------------------------------------
2-- minmag.decTest -- decimal minimum by magnitude --
Benjamin Petersonf17ff4e2008-07-31 16:32:12 +00003-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Thomas Wouters1b7f8912007-09-19 03:06:30 +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
Thomas Wouters1b7f8912007-09-19 03:06:30 +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
32mngx001 minmag -2 -2 -> -2
33mngx002 minmag -2 -1 -> -1
34mngx003 minmag -2 0 -> 0
35mngx004 minmag -2 1 -> 1
36mngx005 minmag -2 2 -> -2
37mngx006 minmag -1 -2 -> -1
38mngx007 minmag -1 -1 -> -1
39mngx008 minmag -1 0 -> 0
40mngx009 minmag -1 1 -> -1
41mngx010 minmag -1 2 -> -1
42mngx011 minmag 0 -2 -> 0
43mngx012 minmag 0 -1 -> 0
44mngx013 minmag 0 0 -> 0
45mngx014 minmag 0 1 -> 0
46mngx015 minmag 0 2 -> 0
47mngx016 minmag 1 -2 -> 1
48mngx017 minmag 1 -1 -> -1
49mngx018 minmag 1 0 -> 0
50mngx019 minmag 1 1 -> 1
51mngx020 minmag 1 2 -> 1
52mngx021 minmag 2 -2 -> -2
53mngx022 minmag 2 -1 -> -1
54mngx023 minmag 2 0 -> 0
55mngx025 minmag 2 1 -> 1
56mngx026 minmag 2 2 -> 2
57
58-- extended zeros
59mngx030 minmag 0 0 -> 0
60mngx031 minmag 0 -0 -> -0
61mngx032 minmag 0 -0.0 -> -0.0
62mngx033 minmag 0 0.0 -> 0.0
63mngx034 minmag -0 0 -> -0
64mngx035 minmag -0 -0 -> -0
65mngx036 minmag -0 -0.0 -> -0
66mngx037 minmag -0 0.0 -> -0
67mngx038 minmag 0.0 0 -> 0.0
68mngx039 minmag 0.0 -0 -> -0
69mngx040 minmag 0.0 -0.0 -> -0.0
70mngx041 minmag 0.0 0.0 -> 0.0
71mngx042 minmag -0.0 0 -> -0.0
72mngx043 minmag -0.0 -0 -> -0
73mngx044 minmag -0.0 -0.0 -> -0.0
74mngx045 minmag -0.0 0.0 -> -0.0
75
76mngx046 minmag 0E1 -0E1 -> -0E+1
77mngx047 minmag -0E1 0E2 -> -0E+1
78mngx048 minmag 0E2 0E1 -> 0E+1
79mngx049 minmag 0E1 0E2 -> 0E+1
80mngx050 minmag -0E3 -0E2 -> -0E+3
81mngx051 minmag -0E2 -0E3 -> -0E+3
82
83-- Specials
84precision: 9
85mngx090 minmag Inf -Inf -> -Infinity
86mngx091 minmag Inf -1000 -> -1000
87mngx092 minmag Inf -1 -> -1
88mngx093 minmag Inf -0 -> -0
89mngx094 minmag Inf 0 -> 0
90mngx095 minmag Inf 1 -> 1
91mngx096 minmag Inf 1000 -> 1000
92mngx097 minmag Inf Inf -> Infinity
93mngx098 minmag -1000 Inf -> -1000
94mngx099 minmag -Inf Inf -> -Infinity
95mngx100 minmag -1 Inf -> -1
96mngx101 minmag -0 Inf -> -0
97mngx102 minmag 0 Inf -> 0
98mngx103 minmag 1 Inf -> 1
99mngx104 minmag 1000 Inf -> 1000
100mngx105 minmag Inf Inf -> Infinity
101
102mngx120 minmag -Inf -Inf -> -Infinity
103mngx121 minmag -Inf -1000 -> -1000
104mngx122 minmag -Inf -1 -> -1
105mngx123 minmag -Inf -0 -> -0
106mngx124 minmag -Inf 0 -> 0
107mngx125 minmag -Inf 1 -> 1
108mngx126 minmag -Inf 1000 -> 1000
109mngx127 minmag -Inf Inf -> -Infinity
110mngx128 minmag -Inf -Inf -> -Infinity
111mngx129 minmag -1000 -Inf -> -1000
112mngx130 minmag -1 -Inf -> -1
113mngx131 minmag -0 -Inf -> -0
114mngx132 minmag 0 -Inf -> 0
115mngx133 minmag 1 -Inf -> 1
116mngx134 minmag 1000 -Inf -> 1000
117mngx135 minmag Inf -Inf -> -Infinity
118
119-- 2004.08.02 754r chooses number over NaN in mixed cases
120mngx141 minmag NaN -Inf -> -Infinity
121mngx142 minmag NaN -1000 -> -1000
122mngx143 minmag NaN -1 -> -1
123mngx144 minmag NaN -0 -> -0
124mngx145 minmag NaN 0 -> 0
125mngx146 minmag NaN 1 -> 1
126mngx147 minmag NaN 1000 -> 1000
127mngx148 minmag NaN Inf -> Infinity
128mngx149 minmag NaN NaN -> NaN
129mngx150 minmag -Inf NaN -> -Infinity
130mngx151 minmag -1000 NaN -> -1000
131mngx152 minmag -1 -NaN -> -1
132mngx153 minmag -0 NaN -> -0
133mngx154 minmag 0 -NaN -> 0
134mngx155 minmag 1 NaN -> 1
135mngx156 minmag 1000 NaN -> 1000
136mngx157 minmag Inf NaN -> Infinity
137
138mngx161 minmag sNaN -Inf -> NaN Invalid_operation
139mngx162 minmag sNaN -1000 -> NaN Invalid_operation
140mngx163 minmag sNaN -1 -> NaN Invalid_operation
141mngx164 minmag sNaN -0 -> NaN Invalid_operation
142mngx165 minmag -sNaN 0 -> -NaN Invalid_operation
143mngx166 minmag -sNaN 1 -> -NaN Invalid_operation
144mngx167 minmag sNaN 1000 -> NaN Invalid_operation
145mngx168 minmag sNaN NaN -> NaN Invalid_operation
146mngx169 minmag sNaN sNaN -> NaN Invalid_operation
147mngx170 minmag NaN sNaN -> NaN Invalid_operation
148mngx171 minmag -Inf sNaN -> NaN Invalid_operation
149mngx172 minmag -1000 sNaN -> NaN Invalid_operation
150mngx173 minmag -1 sNaN -> NaN Invalid_operation
151mngx174 minmag -0 sNaN -> NaN Invalid_operation
152mngx175 minmag 0 sNaN -> NaN Invalid_operation
153mngx176 minmag 1 sNaN -> NaN Invalid_operation
154mngx177 minmag 1000 sNaN -> NaN Invalid_operation
155mngx178 minmag Inf sNaN -> NaN Invalid_operation
156mngx179 minmag NaN sNaN -> NaN Invalid_operation
157
158-- propagating NaNs
159mngx181 minmag NaN9 -Inf -> -Infinity
160mngx182 minmag -NaN8 9990 -> 9990
161mngx183 minmag NaN71 Inf -> Infinity
162
163mngx184 minmag NaN1 NaN54 -> NaN1
164mngx185 minmag NaN22 -NaN53 -> NaN22
165mngx186 minmag -NaN3 NaN6 -> -NaN3
166mngx187 minmag -NaN44 NaN7 -> -NaN44
167
168mngx188 minmag -Inf NaN41 -> -Infinity
169mngx189 minmag -9999 -NaN33 -> -9999
170mngx190 minmag Inf NaN2 -> Infinity
171
172mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation
173mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation
174mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation
175mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation
176mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation
177mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation
178mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation
179mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation
180mngx199 minmag NaN sNaN86 -> NaN86 Invalid_operation
181
182-- rounding checks -- chosen is rounded, or not
183maxExponent: 999
184minexponent: -999
185precision: 9
186mngx201 minmag -12345678000 1 -> 1
187mngx202 minmag 1 -12345678000 -> 1
188mngx203 minmag -1234567800 1 -> 1
189mngx204 minmag 1 -1234567800 -> 1
190mngx205 minmag -1234567890 1 -> 1
191mngx206 minmag 1 -1234567890 -> 1
192mngx207 minmag -1234567891 1 -> 1
193mngx208 minmag 1 -1234567891 -> 1
194mngx209 minmag -12345678901 1 -> 1
195mngx210 minmag 1 -12345678901 -> 1
196mngx211 minmag -1234567896 1 -> 1
197mngx212 minmag 1 -1234567896 -> 1
198mngx213 minmag 1234567891 1 -> 1
199mngx214 minmag 1 1234567891 -> 1
200mngx215 minmag 12345678901 1 -> 1
201mngx216 minmag 1 12345678901 -> 1
202mngx217 minmag 1234567896 1 -> 1
203mngx218 minmag 1 1234567896 -> 1
204
205precision: 15
206mngx221 minmag -12345678000 1 -> 1
207mngx222 minmag 1 -12345678000 -> 1
208mngx223 minmag -1234567800 1 -> 1
209mngx224 minmag 1 -1234567800 -> 1
210mngx225 minmag -1234567890 1 -> 1
211mngx226 minmag 1 -1234567890 -> 1
212mngx227 minmag -1234567891 1 -> 1
213mngx228 minmag 1 -1234567891 -> 1
214mngx229 minmag -12345678901 1 -> 1
215mngx230 minmag 1 -12345678901 -> 1
216mngx231 minmag -1234567896 1 -> 1
217mngx232 minmag 1 -1234567896 -> 1
218mngx233 minmag 1234567891 1 -> 1
219mngx234 minmag 1 1234567891 -> 1
220mngx235 minmag 12345678901 1 -> 1
221mngx236 minmag 1 12345678901 -> 1
222mngx237 minmag 1234567896 1 -> 1
223mngx238 minmag 1 1234567896 -> 1
224
225-- from examples
226mngx280 minmag '3' '2' -> '2'
227mngx281 minmag '-10' '3' -> '3'
228mngx282 minmag '1.0' '1' -> '1.0'
229mngx283 minmag '1' '1.0' -> '1.0'
230mngx284 minmag '7' 'NaN' -> '7'
231
232-- overflow and underflow tests .. subnormal results [inputs] now allowed
233maxExponent: 999999999
234minexponent: -999999999
235mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345
236mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345
237mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999
238mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999
239mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345
240mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345
241mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999
242mngx338 minmag -9E-999999999 0.100 -> -9E-999999999
243
244mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999
245mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999
246mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000
247mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998
248mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998
249mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998
250mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001
251mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000
252mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000
253mngx348 minmag -9e999999998 -100 -> -100
254mngx349 minmag -9e999999998 -10 -> -10
255mngx350 minmag -100 -9e999999998 -> -100
256-- signs
257mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111
258mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111
259mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111
260mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111
261mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777
262mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777
263mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777
264mngx358 minmag +1e-777777777 +1e-411111111 -> 1E-777777777
265
266-- expanded list from min/max 754r purple prose
267-- [explicit tests for exponent ordering]
268mngx401 minmag Inf 1.1 -> 1.1
269mngx402 minmag 1.1 1 -> 1
270mngx403 minmag 1 1.0 -> 1.0
271mngx404 minmag 1.0 0.1 -> 0.1
272mngx405 minmag 0.1 0.10 -> 0.10
273mngx406 minmag 0.10 0.100 -> 0.100
274mngx407 minmag 0.10 0 -> 0
275mngx408 minmag 0 0.0 -> 0.0
276mngx409 minmag 0.0 -0 -> -0
277mngx410 minmag 0.0 -0.0 -> -0.0
278mngx411 minmag 0.00 -0.0 -> -0.0
279mngx412 minmag 0.0 -0.00 -> -0.00
280mngx413 minmag 0 -0.0 -> -0.0
281mngx414 minmag 0 -0 -> -0
282mngx415 minmag -0.0 -0 -> -0
283mngx416 minmag -0 -0.100 -> -0
284mngx417 minmag -0.100 -0.10 -> -0.10
285mngx418 minmag -0.10 -0.1 -> -0.1
286mngx419 minmag -0.1 -1.0 -> -0.1
287mngx420 minmag -1.0 -1 -> -1
288mngx421 minmag -1 -1.1 -> -1
289mngx423 minmag -1.1 -Inf -> -1.1
290-- same with operands reversed
291mngx431 minmag 1.1 Inf -> 1.1
292mngx432 minmag 1 1.1 -> 1
293mngx433 minmag 1.0 1 -> 1.0
294mngx434 minmag 0.1 1.0 -> 0.1
295mngx435 minmag 0.10 0.1 -> 0.10
296mngx436 minmag 0.100 0.10 -> 0.100
297mngx437 minmag 0 0.10 -> 0
298mngx438 minmag 0.0 0 -> 0.0
299mngx439 minmag -0 0.0 -> -0
300mngx440 minmag -0.0 0.0 -> -0.0
301mngx441 minmag -0.0 0.00 -> -0.0
302mngx442 minmag -0.00 0.0 -> -0.00
303mngx443 minmag -0.0 0 -> -0.0
304mngx444 minmag -0 0 -> -0
305mngx445 minmag -0 -0.0 -> -0
306mngx446 minmag -0.100 -0 -> -0
307mngx447 minmag -0.10 -0.100 -> -0.10
308mngx448 minmag -0.1 -0.10 -> -0.1
309mngx449 minmag -1.0 -0.1 -> -0.1
310mngx450 minmag -1 -1.0 -> -1
311mngx451 minmag -1.1 -1 -> -1
312mngx453 minmag -Inf -1.1 -> -1.1
313-- largies
314mngx460 minmag 1000 1E+3 -> 1000
315mngx461 minmag 1E+3 1000 -> 1000
316mngx462 minmag 1000 -1E+3 -> -1E+3
317mngx463 minmag 1E+3 -1000 -> -1000
318mngx464 minmag -1000 1E+3 -> -1000
319mngx465 minmag -1E+3 1000 -> -1E+3
320mngx466 minmag -1000 -1E+3 -> -1E+3
321mngx467 minmag -1E+3 -1000 -> -1E+3
322
323-- rounding (results treated as though plus)
324maxexponent: 999999999
325minexponent: -999999999
326precision: 3
327
328mngx470 minmag 1 5 -> 1
329mngx471 minmag 10 50 -> 10
330mngx472 minmag 100 500 -> 100
331mngx473 minmag 1000 5000 -> 1.00E+3 Rounded
332mngx474 minmag 10000 50000 -> 1.00E+4 Rounded
333mngx475 minmag 6 50 -> 6
334mngx476 minmag 66 500 -> 66
335mngx477 minmag 666 5000 -> 666
336mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact
337mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact
338mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact
339mngx481 minmag 75401 1 -> 1
340mngx482 minmag 75402 10 -> 10
341mngx483 minmag 75403 100 -> 100
342mngx484 minmag 75404 1000 -> 1.00E+3 Rounded
343mngx485 minmag 75405 10000 -> 1.00E+4 Rounded
344mngx486 minmag 75406 6 -> 6
345mngx487 minmag 75407 66 -> 66
346mngx488 minmag 75408 666 -> 666
347mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact
348mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact
349mngx491 minmag 75411 33333 -> 3.33E+4 Rounded Inexact
350
351
352-- overflow tests
353maxexponent: 999999999
354minexponent: -999999999
355precision: 3
356mngx500 minmag 9.999E+999999999 0 -> 0
357mngx501 minmag -9.999E+999999999 0 -> 0
358
359-- subnormals and underflow
360precision: 3
361maxexponent: 999
362minexponent: -999
363mngx510 minmag 1.00E-999 0 -> 0
364mngx511 minmag 0.1E-999 0 -> 0
365mngx512 minmag 0.10E-999 0 -> 0
366mngx513 minmag 0.100E-999 0 -> 0
367mngx514 minmag 0.01E-999 0 -> 0
368mngx515 minmag 0.999E-999 0 -> 0
369mngx516 minmag 0.099E-999 0 -> 0
370mngx517 minmag 0.009E-999 0 -> 0
371mngx518 minmag 0.001E-999 0 -> 0
372mngx519 minmag 0.0009E-999 0 -> 0
373mngx520 minmag 0.0001E-999 0 -> 0
374
375mngx530 minmag -1.00E-999 0 -> 0
376mngx531 minmag -0.1E-999 0 -> 0
377mngx532 minmag -0.10E-999 0 -> 0
378mngx533 minmag -0.100E-999 0 -> 0
379mngx534 minmag -0.01E-999 0 -> 0
380mngx535 minmag -0.999E-999 0 -> 0
381mngx536 minmag -0.099E-999 0 -> 0
382mngx537 minmag -0.009E-999 0 -> 0
383mngx538 minmag -0.001E-999 0 -> 0
384mngx539 minmag -0.0009E-999 0 -> 0
385mngx540 minmag -0.0001E-999 0 -> 0
386
387
388-- Null tests
389mng900 minmag 10 # -> NaN Invalid_operation
390mng901 minmag # 10 -> NaN Invalid_operation