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Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001------------------------------------------------------------------------
2-- min.decTest -- decimal minimum --
3-- Copyright (c) IBM Corporation, 1981, 2004. 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------------------------------------------------------------------------
20version: 2.38
21
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
60mnmx031 min 0 -0 -> 0
61mnmx032 min 0 -0.0 -> 0
62mnmx033 min 0 0.0 -> 0
63mnmx034 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
68mnmx039 min 0.0 -0 -> 0.0
69mnmx040 min 0.0 -0.0 -> 0.0
70mnmx041 min 0.0 0.0 -> 0.0
71mnmx042 min -0.0 0 -> -0.0
72mnmx043 min -0.0 -0 -> -0.0
73mnmx044 min -0.0 -0.0 -> -0.0
74mnmx045 min -0.0 0.0 -> -0.0
75
76mnmx046 min -0E1 0E2 -> -0E+1
77mnmx047 min 0E2 0E1 -> 0E+2
78mnmx048 min 0E1 0E2 -> 0E+1
79mnmx049 min -0E3 -0E2 -> -0E+3
80
81-- Specials
82precision: 9
83mnmx090 min Inf -Inf -> -Infinity
84mnmx091 min Inf -1000 -> -1000
85mnmx092 min Inf -1 -> -1
86mnmx093 min Inf -0 -> -0
87mnmx094 min Inf 0 -> 0
88mnmx095 min Inf 1 -> 1
89mnmx096 min Inf 1000 -> 1000
90mnmx097 min Inf Inf -> Infinity
91mnmx098 min -1000 Inf -> -1000
92mnmx099 min -Inf Inf -> -Infinity
93mnmx100 min -1 Inf -> -1
94mnmx101 min -0 Inf -> -0
95mnmx102 min 0 Inf -> 0
96mnmx103 min 1 Inf -> 1
97mnmx104 min 1000 Inf -> 1000
98mnmx105 min Inf Inf -> Infinity
99
100mnmx120 min -Inf -Inf -> -Infinity
101mnmx121 min -Inf -1000 -> -Infinity
102mnmx122 min -Inf -1 -> -Infinity
103mnmx123 min -Inf -0 -> -Infinity
104mnmx124 min -Inf 0 -> -Infinity
105mnmx125 min -Inf 1 -> -Infinity
106mnmx126 min -Inf 1000 -> -Infinity
107mnmx127 min -Inf Inf -> -Infinity
108mnmx128 min -Inf -Inf -> -Infinity
109mnmx129 min -1000 -Inf -> -Infinity
110mnmx130 min -1 -Inf -> -Infinity
111mnmx131 min -0 -Inf -> -Infinity
112mnmx132 min 0 -Inf -> -Infinity
113mnmx133 min 1 -Inf -> -Infinity
114mnmx134 min 1000 -Inf -> -Infinity
115mnmx135 min Inf -Inf -> -Infinity
116
117mnmx141 min NaN -Inf -> NaN
118mnmx142 min NaN -1000 -> NaN
119mnmx143 min NaN -1 -> NaN
120mnmx144 min NaN -0 -> NaN
121mnmx145 min NaN 0 -> NaN
122mnmx146 min NaN 1 -> NaN
123mnmx147 min NaN 1000 -> NaN
124mnmx148 min NaN Inf -> NaN
125mnmx149 min NaN NaN -> NaN
126mnmx150 min -Inf NaN -> NaN
127mnmx151 min -1000 NaN -> NaN
128mnmx152 min -1 -NaN -> -NaN
129mnmx153 min -0 NaN -> NaN
130mnmx154 min 0 -NaN -> -NaN
131mnmx155 min 1 NaN -> NaN
132mnmx156 min 1000 NaN -> NaN
133mnmx157 min Inf NaN -> NaN
134
135mnmx161 min sNaN -Inf -> NaN Invalid_operation
136mnmx162 min sNaN -1000 -> NaN Invalid_operation
137mnmx163 min sNaN -1 -> NaN Invalid_operation
138mnmx164 min sNaN -0 -> NaN Invalid_operation
139mnmx165 min -sNaN 0 -> -NaN Invalid_operation
140mnmx166 min -sNaN 1 -> -NaN Invalid_operation
141mnmx167 min sNaN 1000 -> NaN Invalid_operation
142mnmx168 min sNaN NaN -> NaN Invalid_operation
143mnmx169 min sNaN sNaN -> NaN Invalid_operation
144mnmx170 min NaN sNaN -> NaN Invalid_operation
145mnmx171 min -Inf sNaN -> NaN Invalid_operation
146mnmx172 min -1000 sNaN -> NaN Invalid_operation
147mnmx173 min -1 sNaN -> NaN Invalid_operation
148mnmx174 min -0 sNaN -> NaN Invalid_operation
149mnmx175 min 0 sNaN -> NaN Invalid_operation
150mnmx176 min 1 sNaN -> NaN Invalid_operation
151mnmx177 min 1000 sNaN -> NaN Invalid_operation
152mnmx178 min Inf sNaN -> NaN Invalid_operation
153mnmx179 min NaN sNaN -> NaN Invalid_operation
154
155-- propagating NaNs
156mnmx181 min NaN9 -Inf -> NaN9
157mnmx182 min -NaN8 9990 -> -NaN8
158mnmx183 min NaN71 Inf -> NaN71
159mnmx184 min NaN6 NaN51 -> NaN6
160mnmx185 min -Inf NaN41 -> NaN41
161mnmx186 min -9999 -NaN33 -> -NaN33
162mnmx187 min Inf NaN2 -> NaN2
163
164mnmx191 min sNaN99 -Inf -> NaN99 Invalid_operation
165mnmx192 min sNaN98 -11 -> NaN98 Invalid_operation
166mnmx193 min -sNaN97 NaN -> -NaN97 Invalid_operation
167mnmx194 min sNaN69 sNaN94 -> NaN69 Invalid_operation
168mnmx195 min NaN95 sNaN93 -> NaN93 Invalid_operation
169mnmx196 min -Inf sNaN92 -> NaN92 Invalid_operation
170mnmx197 min 088 sNaN91 -> NaN91 Invalid_operation
171mnmx198 min Inf -sNaN90 -> -NaN90 Invalid_operation
172mnmx199 min NaN sNaN86 -> NaN86 Invalid_operation
173
174-- rounding checks -- chosen is rounded, or not
175maxExponent: 999
176minexponent: -999
177precision: 9
178mnmx201 min -12345678000 1 -> -1.23456780E+10 Rounded
179mnmx202 min 1 -12345678000 -> -1.23456780E+10 Rounded
180mnmx203 min -1234567800 1 -> -1.23456780E+9 Rounded
181mnmx204 min 1 -1234567800 -> -1.23456780E+9 Rounded
182mnmx205 min -1234567890 1 -> -1.23456789E+9 Rounded
183mnmx206 min 1 -1234567890 -> -1.23456789E+9 Rounded
184mnmx207 min -1234567891 1 -> -1.23456789E+9 Inexact Rounded
185mnmx208 min 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
186mnmx209 min -12345678901 1 -> -1.23456789E+10 Inexact Rounded
187mnmx210 min 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
188mnmx211 min -1234567896 1 -> -1.23456790E+9 Inexact Rounded
189mnmx212 min 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
190mnmx213 min 1234567891 1 -> 1
191mnmx214 min 1 1234567891 -> 1
192mnmx215 min 12345678901 1 -> 1
193mnmx216 min 1 12345678901 -> 1
194mnmx217 min 1234567896 1 -> 1
195mnmx218 min 1 1234567896 -> 1
196
197precision: 15
198mnmx221 min -12345678000 1 -> -12345678000
199mnmx222 min 1 -12345678000 -> -12345678000
200mnmx223 min -1234567800 1 -> -1234567800
201mnmx224 min 1 -1234567800 -> -1234567800
202mnmx225 min -1234567890 1 -> -1234567890
203mnmx226 min 1 -1234567890 -> -1234567890
204mnmx227 min -1234567891 1 -> -1234567891
205mnmx228 min 1 -1234567891 -> -1234567891
206mnmx229 min -12345678901 1 -> -12345678901
207mnmx230 min 1 -12345678901 -> -12345678901
208mnmx231 min -1234567896 1 -> -1234567896
209mnmx232 min 1 -1234567896 -> -1234567896
210mnmx233 min 1234567891 1 -> 1
211mnmx234 min 1 1234567891 -> 1
212mnmx235 min 12345678901 1 -> 1
213mnmx236 min 1 12345678901 -> 1
214mnmx237 min 1234567896 1 -> 1
215mnmx238 min 1 1234567896 -> 1
216
217-- from examples
218mnmx280 min '3' '2' -> '2'
219mnmx281 min '-10' '3' -> '-10'
220mnmx282 min '1.0' '1' -> '1.0'
221mnmx283 min '1' '1.0' -> '1'
222
223-- overflow and underflow tests .. subnormal results [inputs] now allowed
224maxExponent: 999999999
225minexponent: -999999999
226mnmx330 min -1.23456789012345E-0 -9E+999999999 -> -9E+999999999
227mnmx331 min -9E+999999999 -1.23456789012345E-0 -> -9E+999999999
228mnmx332 min -0.100 -9E-999999999 -> -0.100
229mnmx333 min -9E-999999999 -0.100 -> -0.100
230mnmx335 min +1.23456789012345E-0 -9E+999999999 -> -9E+999999999
231mnmx336 min -9E+999999999 1.23456789012345E-0 -> -9E+999999999
232mnmx337 min +0.100 -9E-999999999 -> -9E-999999999
233mnmx338 min -9E-999999999 0.100 -> -9E-999999999
234
235mnmx339 min -1e-599999999 -1e-400000001 -> -1E-400000001
236mnmx340 min -1e-599999999 -1e-400000000 -> -1E-400000000
237mnmx341 min -1e-600000000 -1e-400000000 -> -1E-400000000
238mnmx342 min -9e-999999998 -0.01 -> -0.01
239mnmx343 min -9e-999999998 -0.1 -> -0.1
240mnmx344 min -0.01 -9e-999999998 -> -0.01
241mnmx345 min -1e599999999 -1e400000001 -> -1E+599999999
242mnmx346 min -1e599999999 -1e400000000 -> -1E+599999999
243mnmx347 min -1e600000000 -1e400000000 -> -1E+600000000
244mnmx348 min -9e999999998 -100 -> -9E+999999998
245mnmx349 min -9e999999998 -10 -> -9E+999999998
246mnmx350 min -100 -9e999999998 -> -9E+999999998
247-- signs
248mnmx351 min -1e+777777777 -1e+411111111 -> -1E+777777777
249mnmx352 min -1e+777777777 +1e+411111111 -> -1E+777777777
250mnmx353 min +1e+777777777 -1e+411111111 -> -1E+411111111
251mnmx354 min +1e+777777777 +1e+411111111 -> 1E+411111111
252mnmx355 min -1e-777777777 -1e-411111111 -> -1E-411111111
253mnmx356 min -1e-777777777 +1e-411111111 -> -1E-777777777
254mnmx357 min +1e-777777777 -1e-411111111 -> -1E-411111111
255mnmx358 min +1e-777777777 +1e-411111111 -> 1E-777777777
256
257
258-- overflow tests
259maxexponent: 999999999
260minexponent: -999999999
261precision: 3
262mnmx400 min 9.999E+999999999 0 -> 0
263mnmx401 min -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
264
265-- subnormals and underflow
266precision: 3
267maxexponent: 999
268minexponent: -999
269mnmx410 min 1.00E-999 0 -> 0
270mnmx411 min 0.1E-999 0 -> 0
271mnmx412 min 0.10E-999 0 -> 0
272mnmx413 min 0.100E-999 0 -> 0
273mnmx414 min 0.01E-999 0 -> 0
274mnmx415 min 0.999E-999 0 -> 0
275mnmx416 min 0.099E-999 0 -> 0
276mnmx417 min 0.009E-999 0 -> 0
277mnmx418 min 0.001E-999 0 -> 0
278mnmx419 min 0.0009E-999 0 -> 0
279mnmx420 min 0.0001E-999 0 -> 0
280
281mnmx430 min -1.00E-999 0 -> -1.00E-999
282mnmx431 min -0.1E-999 0 -> -1E-1000 Subnormal
283mnmx432 min -0.10E-999 0 -> -1.0E-1000 Subnormal
284mnmx433 min -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
285mnmx434 min -0.01E-999 0 -> -1E-1001 Subnormal
286-- next is rounded to Emin
287mnmx435 min -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
288mnmx436 min -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
289mnmx437 min -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
290mnmx438 min -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
291mnmx439 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
292mnmx440 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
293
294
295-- Null tests
296mnm900 min 10 # -> NaN Invalid_operation
297mnm901 min # 10 -> NaN Invalid_operation