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Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001------------------------------------------------------------------------
2-- quantize.decTest -- decimal quantize operation --
Facundo Batista353750c2007-09-13 18:13:15 +00003-- Copyright (c) IBM Corporation, 1981, 2007. 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------------------------------------------------------------------------
Facundo Batista9401cbe2007-11-23 18:14:50 +000020version: 2.57
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000021
22-- Most of the tests here assume a "regular pattern", where the
23-- sign and coefficient are +1.
24-- 2004.03.15 Underflow for quantize is suppressed
Facundo Batista353750c2007-09-13 18:13:15 +000025-- 2005.06.08 More extensive tests for 'does not fit'
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000026
27extended: 1
28precision: 9
29rounding: half_up
30maxExponent: 999
31minexponent: -999
32
33-- sanity checks
34quax001 quantize 0 1e0 -> 0
35quax002 quantize 1 1e0 -> 1
36quax003 quantize 0.1 1e+2 -> 0E+2 Inexact Rounded
37quax005 quantize 0.1 1e+1 -> 0E+1 Inexact Rounded
38quax006 quantize 0.1 1e0 -> 0 Inexact Rounded
39quax007 quantize 0.1 1e-1 -> 0.1
40quax008 quantize 0.1 1e-2 -> 0.10
41quax009 quantize 0.1 1e-3 -> 0.100
42quax010 quantize 0.9 1e+2 -> 0E+2 Inexact Rounded
43quax011 quantize 0.9 1e+1 -> 0E+1 Inexact Rounded
44quax012 quantize 0.9 1e+0 -> 1 Inexact Rounded
45quax013 quantize 0.9 1e-1 -> 0.9
46quax014 quantize 0.9 1e-2 -> 0.90
47quax015 quantize 0.9 1e-3 -> 0.900
48-- negatives
49quax021 quantize -0 1e0 -> -0
50quax022 quantize -1 1e0 -> -1
51quax023 quantize -0.1 1e+2 -> -0E+2 Inexact Rounded
52quax025 quantize -0.1 1e+1 -> -0E+1 Inexact Rounded
53quax026 quantize -0.1 1e0 -> -0 Inexact Rounded
54quax027 quantize -0.1 1e-1 -> -0.1
55quax028 quantize -0.1 1e-2 -> -0.10
56quax029 quantize -0.1 1e-3 -> -0.100
57quax030 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded
58quax031 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded
59quax032 quantize -0.9 1e+0 -> -1 Inexact Rounded
60quax033 quantize -0.9 1e-1 -> -0.9
61quax034 quantize -0.9 1e-2 -> -0.90
62quax035 quantize -0.9 1e-3 -> -0.900
63quax036 quantize -0.5 1e+2 -> -0E+2 Inexact Rounded
64quax037 quantize -0.5 1e+1 -> -0E+1 Inexact Rounded
65quax038 quantize -0.5 1e+0 -> -1 Inexact Rounded
66quax039 quantize -0.5 1e-1 -> -0.5
67quax040 quantize -0.5 1e-2 -> -0.50
68quax041 quantize -0.5 1e-3 -> -0.500
69quax042 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded
70quax043 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded
71quax044 quantize -0.9 1e+0 -> -1 Inexact Rounded
72quax045 quantize -0.9 1e-1 -> -0.9
73quax046 quantize -0.9 1e-2 -> -0.90
74quax047 quantize -0.9 1e-3 -> -0.900
75
76-- examples from Specification
77quax060 quantize 2.17 0.001 -> 2.170
78quax061 quantize 2.17 0.01 -> 2.17
79quax062 quantize 2.17 0.1 -> 2.2 Inexact Rounded
80quax063 quantize 2.17 1e+0 -> 2 Inexact Rounded
81quax064 quantize 2.17 1e+1 -> 0E+1 Inexact Rounded
82quax065 quantize -Inf Inf -> -Infinity
83quax066 quantize 2 Inf -> NaN Invalid_operation
84quax067 quantize -0.1 1 -> -0 Inexact Rounded
85quax068 quantize -0 1e+5 -> -0E+5
86quax069 quantize +35236450.6 1e-2 -> NaN Invalid_operation
87quax070 quantize -35236450.6 1e-2 -> NaN Invalid_operation
88quax071 quantize 217 1e-1 -> 217.0
89quax072 quantize 217 1e+0 -> 217
90quax073 quantize 217 1e+1 -> 2.2E+2 Inexact Rounded
91quax074 quantize 217 1e+2 -> 2E+2 Inexact Rounded
92
93-- general tests ..
94quax089 quantize 12 1e+4 -> 0E+4 Inexact Rounded
95quax090 quantize 12 1e+3 -> 0E+3 Inexact Rounded
96quax091 quantize 12 1e+2 -> 0E+2 Inexact Rounded
97quax092 quantize 12 1e+1 -> 1E+1 Inexact Rounded
98quax093 quantize 1.2345 1e-2 -> 1.23 Inexact Rounded
99quax094 quantize 1.2355 1e-2 -> 1.24 Inexact Rounded
100quax095 quantize 1.2345 1e-6 -> 1.234500
101quax096 quantize 9.9999 1e-2 -> 10.00 Inexact Rounded
102quax097 quantize 0.0001 1e-2 -> 0.00 Inexact Rounded
103quax098 quantize 0.001 1e-2 -> 0.00 Inexact Rounded
104quax099 quantize 0.009 1e-2 -> 0.01 Inexact Rounded
105quax100 quantize 92 1e+2 -> 1E+2 Inexact Rounded
106
107quax101 quantize -1 1e0 -> -1
108quax102 quantize -1 1e-1 -> -1.0
109quax103 quantize -1 1e-2 -> -1.00
110quax104 quantize 0 1e0 -> 0
111quax105 quantize 0 1e-1 -> 0.0
112quax106 quantize 0 1e-2 -> 0.00
113quax107 quantize 0.00 1e0 -> 0
114quax108 quantize 0 1e+1 -> 0E+1
115quax109 quantize 0 1e+2 -> 0E+2
116quax110 quantize +1 1e0 -> 1
117quax111 quantize +1 1e-1 -> 1.0
118quax112 quantize +1 1e-2 -> 1.00
119
120quax120 quantize 1.04 1e-3 -> 1.040
121quax121 quantize 1.04 1e-2 -> 1.04
122quax122 quantize 1.04 1e-1 -> 1.0 Inexact Rounded
123quax123 quantize 1.04 1e0 -> 1 Inexact Rounded
124quax124 quantize 1.05 1e-3 -> 1.050
125quax125 quantize 1.05 1e-2 -> 1.05
126quax126 quantize 1.05 1e-1 -> 1.1 Inexact Rounded
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000127quax131 quantize 1.05 1e0 -> 1 Inexact Rounded
128quax132 quantize 1.06 1e-3 -> 1.060
129quax133 quantize 1.06 1e-2 -> 1.06
130quax134 quantize 1.06 1e-1 -> 1.1 Inexact Rounded
131quax135 quantize 1.06 1e0 -> 1 Inexact Rounded
132
133quax140 quantize -10 1e-2 -> -10.00
134quax141 quantize +1 1e-2 -> 1.00
135quax142 quantize +10 1e-2 -> 10.00
136quax143 quantize 1E+10 1e-2 -> NaN Invalid_operation
137quax144 quantize 1E-10 1e-2 -> 0.00 Inexact Rounded
138quax145 quantize 1E-3 1e-2 -> 0.00 Inexact Rounded
139quax146 quantize 1E-2 1e-2 -> 0.01
140quax147 quantize 1E-1 1e-2 -> 0.10
141quax148 quantize 0E-10 1e-2 -> 0.00
142
143quax150 quantize 1.0600 1e-5 -> 1.06000
144quax151 quantize 1.0600 1e-4 -> 1.0600
145quax152 quantize 1.0600 1e-3 -> 1.060 Rounded
146quax153 quantize 1.0600 1e-2 -> 1.06 Rounded
147quax154 quantize 1.0600 1e-1 -> 1.1 Inexact Rounded
148quax155 quantize 1.0600 1e0 -> 1 Inexact Rounded
149
150-- base tests with non-1 coefficients
151quax161 quantize 0 -9e0 -> 0
152quax162 quantize 1 -7e0 -> 1
153quax163 quantize 0.1 -1e+2 -> 0E+2 Inexact Rounded
154quax165 quantize 0.1 0e+1 -> 0E+1 Inexact Rounded
155quax166 quantize 0.1 2e0 -> 0 Inexact Rounded
156quax167 quantize 0.1 3e-1 -> 0.1
157quax168 quantize 0.1 44e-2 -> 0.10
158quax169 quantize 0.1 555e-3 -> 0.100
159quax170 quantize 0.9 6666e+2 -> 0E+2 Inexact Rounded
160quax171 quantize 0.9 -777e+1 -> 0E+1 Inexact Rounded
161quax172 quantize 0.9 -88e+0 -> 1 Inexact Rounded
162quax173 quantize 0.9 -9e-1 -> 0.9
163quax174 quantize 0.9 0e-2 -> 0.90
164quax175 quantize 0.9 1.1e-3 -> 0.9000
165-- negatives
166quax181 quantize -0 1.1e0 -> -0.0
167quax182 quantize -1 -1e0 -> -1
168quax183 quantize -0.1 11e+2 -> -0E+2 Inexact Rounded
169quax185 quantize -0.1 111e+1 -> -0E+1 Inexact Rounded
170quax186 quantize -0.1 71e0 -> -0 Inexact Rounded
171quax187 quantize -0.1 -91e-1 -> -0.1
172quax188 quantize -0.1 -.1e-2 -> -0.100
173quax189 quantize -0.1 -1e-3 -> -0.100
174quax190 quantize -0.9 0e+2 -> -0E+2 Inexact Rounded
175quax191 quantize -0.9 -0e+1 -> -0E+1 Inexact Rounded
176quax192 quantize -0.9 -10e+0 -> -1 Inexact Rounded
177quax193 quantize -0.9 100e-1 -> -0.9
178quax194 quantize -0.9 999e-2 -> -0.90
179
180-- +ve exponents ..
181quax201 quantize -1 1e+0 -> -1
182quax202 quantize -1 1e+1 -> -0E+1 Inexact Rounded
183quax203 quantize -1 1e+2 -> -0E+2 Inexact Rounded
184quax204 quantize 0 1e+0 -> 0
185quax205 quantize 0 1e+1 -> 0E+1
186quax206 quantize 0 1e+2 -> 0E+2
187quax207 quantize +1 1e+0 -> 1
188quax208 quantize +1 1e+1 -> 0E+1 Inexact Rounded
189quax209 quantize +1 1e+2 -> 0E+2 Inexact Rounded
190
191quax220 quantize 1.04 1e+3 -> 0E+3 Inexact Rounded
192quax221 quantize 1.04 1e+2 -> 0E+2 Inexact Rounded
193quax222 quantize 1.04 1e+1 -> 0E+1 Inexact Rounded
194quax223 quantize 1.04 1e+0 -> 1 Inexact Rounded
195quax224 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded
196quax225 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded
197quax226 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded
198quax227 quantize 1.05 1e+0 -> 1 Inexact Rounded
199quax228 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded
200quax229 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded
201quax230 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded
202quax231 quantize 1.05 1e+0 -> 1 Inexact Rounded
203quax232 quantize 1.06 1e+3 -> 0E+3 Inexact Rounded
204quax233 quantize 1.06 1e+2 -> 0E+2 Inexact Rounded
205quax234 quantize 1.06 1e+1 -> 0E+1 Inexact Rounded
206quax235 quantize 1.06 1e+0 -> 1 Inexact Rounded
207
208quax240 quantize -10 1e+1 -> -1E+1 Rounded
209quax241 quantize +1 1e+1 -> 0E+1 Inexact Rounded
210quax242 quantize +10 1e+1 -> 1E+1 Rounded
211quax243 quantize 1E+1 1e+1 -> 1E+1 -- underneath this is E+1
212quax244 quantize 1E+2 1e+1 -> 1.0E+2 -- underneath this is E+1
213quax245 quantize 1E+3 1e+1 -> 1.00E+3 -- underneath this is E+1
214quax246 quantize 1E+4 1e+1 -> 1.000E+4 -- underneath this is E+1
215quax247 quantize 1E+5 1e+1 -> 1.0000E+5 -- underneath this is E+1
216quax248 quantize 1E+6 1e+1 -> 1.00000E+6 -- underneath this is E+1
217quax249 quantize 1E+7 1e+1 -> 1.000000E+7 -- underneath this is E+1
218quax250 quantize 1E+8 1e+1 -> 1.0000000E+8 -- underneath this is E+1
219quax251 quantize 1E+9 1e+1 -> 1.00000000E+9 -- underneath this is E+1
220-- next one tries to add 9 zeros
221quax252 quantize 1E+10 1e+1 -> NaN Invalid_operation
222quax253 quantize 1E-10 1e+1 -> 0E+1 Inexact Rounded
223quax254 quantize 1E-2 1e+1 -> 0E+1 Inexact Rounded
224quax255 quantize 0E-10 1e+1 -> 0E+1
225quax256 quantize -0E-10 1e+1 -> -0E+1
226quax257 quantize -0E-1 1e+1 -> -0E+1
227quax258 quantize -0 1e+1 -> -0E+1
228quax259 quantize -0E+1 1e+1 -> -0E+1
229
230quax260 quantize -10 1e+2 -> -0E+2 Inexact Rounded
231quax261 quantize +1 1e+2 -> 0E+2 Inexact Rounded
232quax262 quantize +10 1e+2 -> 0E+2 Inexact Rounded
233quax263 quantize 1E+1 1e+2 -> 0E+2 Inexact Rounded
234quax264 quantize 1E+2 1e+2 -> 1E+2
235quax265 quantize 1E+3 1e+2 -> 1.0E+3
236quax266 quantize 1E+4 1e+2 -> 1.00E+4
237quax267 quantize 1E+5 1e+2 -> 1.000E+5
238quax268 quantize 1E+6 1e+2 -> 1.0000E+6
239quax269 quantize 1E+7 1e+2 -> 1.00000E+7
240quax270 quantize 1E+8 1e+2 -> 1.000000E+8
241quax271 quantize 1E+9 1e+2 -> 1.0000000E+9
242quax272 quantize 1E+10 1e+2 -> 1.00000000E+10
243quax273 quantize 1E-10 1e+2 -> 0E+2 Inexact Rounded
244quax274 quantize 1E-2 1e+2 -> 0E+2 Inexact Rounded
245quax275 quantize 0E-10 1e+2 -> 0E+2
246
247quax280 quantize -10 1e+3 -> -0E+3 Inexact Rounded
248quax281 quantize +1 1e+3 -> 0E+3 Inexact Rounded
249quax282 quantize +10 1e+3 -> 0E+3 Inexact Rounded
250quax283 quantize 1E+1 1e+3 -> 0E+3 Inexact Rounded
251quax284 quantize 1E+2 1e+3 -> 0E+3 Inexact Rounded
252quax285 quantize 1E+3 1e+3 -> 1E+3
253quax286 quantize 1E+4 1e+3 -> 1.0E+4
254quax287 quantize 1E+5 1e+3 -> 1.00E+5
255quax288 quantize 1E+6 1e+3 -> 1.000E+6
256quax289 quantize 1E+7 1e+3 -> 1.0000E+7
257quax290 quantize 1E+8 1e+3 -> 1.00000E+8
258quax291 quantize 1E+9 1e+3 -> 1.000000E+9
259quax292 quantize 1E+10 1e+3 -> 1.0000000E+10
260quax293 quantize 1E-10 1e+3 -> 0E+3 Inexact Rounded
261quax294 quantize 1E-2 1e+3 -> 0E+3 Inexact Rounded
262quax295 quantize 0E-10 1e+3 -> 0E+3
263
264-- round up from below [sign wrong in JIT compiler once]
265quax300 quantize 0.0078 1e-5 -> 0.00780
266quax301 quantize 0.0078 1e-4 -> 0.0078
267quax302 quantize 0.0078 1e-3 -> 0.008 Inexact Rounded
268quax303 quantize 0.0078 1e-2 -> 0.01 Inexact Rounded
269quax304 quantize 0.0078 1e-1 -> 0.0 Inexact Rounded
270quax305 quantize 0.0078 1e0 -> 0 Inexact Rounded
271quax306 quantize 0.0078 1e+1 -> 0E+1 Inexact Rounded
272quax307 quantize 0.0078 1e+2 -> 0E+2 Inexact Rounded
273
274quax310 quantize -0.0078 1e-5 -> -0.00780
275quax311 quantize -0.0078 1e-4 -> -0.0078
276quax312 quantize -0.0078 1e-3 -> -0.008 Inexact Rounded
277quax313 quantize -0.0078 1e-2 -> -0.01 Inexact Rounded
278quax314 quantize -0.0078 1e-1 -> -0.0 Inexact Rounded
279quax315 quantize -0.0078 1e0 -> -0 Inexact Rounded
280quax316 quantize -0.0078 1e+1 -> -0E+1 Inexact Rounded
281quax317 quantize -0.0078 1e+2 -> -0E+2 Inexact Rounded
282
283quax320 quantize 0.078 1e-5 -> 0.07800
284quax321 quantize 0.078 1e-4 -> 0.0780
285quax322 quantize 0.078 1e-3 -> 0.078
286quax323 quantize 0.078 1e-2 -> 0.08 Inexact Rounded
287quax324 quantize 0.078 1e-1 -> 0.1 Inexact Rounded
288quax325 quantize 0.078 1e0 -> 0 Inexact Rounded
289quax326 quantize 0.078 1e+1 -> 0E+1 Inexact Rounded
290quax327 quantize 0.078 1e+2 -> 0E+2 Inexact Rounded
291
292quax330 quantize -0.078 1e-5 -> -0.07800
293quax331 quantize -0.078 1e-4 -> -0.0780
294quax332 quantize -0.078 1e-3 -> -0.078
295quax333 quantize -0.078 1e-2 -> -0.08 Inexact Rounded
296quax334 quantize -0.078 1e-1 -> -0.1 Inexact Rounded
297quax335 quantize -0.078 1e0 -> -0 Inexact Rounded
298quax336 quantize -0.078 1e+1 -> -0E+1 Inexact Rounded
299quax337 quantize -0.078 1e+2 -> -0E+2 Inexact Rounded
300
301quax340 quantize 0.78 1e-5 -> 0.78000
302quax341 quantize 0.78 1e-4 -> 0.7800
303quax342 quantize 0.78 1e-3 -> 0.780
304quax343 quantize 0.78 1e-2 -> 0.78
305quax344 quantize 0.78 1e-1 -> 0.8 Inexact Rounded
306quax345 quantize 0.78 1e0 -> 1 Inexact Rounded
307quax346 quantize 0.78 1e+1 -> 0E+1 Inexact Rounded
308quax347 quantize 0.78 1e+2 -> 0E+2 Inexact Rounded
309
310quax350 quantize -0.78 1e-5 -> -0.78000
311quax351 quantize -0.78 1e-4 -> -0.7800
312quax352 quantize -0.78 1e-3 -> -0.780
313quax353 quantize -0.78 1e-2 -> -0.78
314quax354 quantize -0.78 1e-1 -> -0.8 Inexact Rounded
315quax355 quantize -0.78 1e0 -> -1 Inexact Rounded
316quax356 quantize -0.78 1e+1 -> -0E+1 Inexact Rounded
317quax357 quantize -0.78 1e+2 -> -0E+2 Inexact Rounded
318
319quax360 quantize 7.8 1e-5 -> 7.80000
320quax361 quantize 7.8 1e-4 -> 7.8000
321quax362 quantize 7.8 1e-3 -> 7.800
322quax363 quantize 7.8 1e-2 -> 7.80
323quax364 quantize 7.8 1e-1 -> 7.8
324quax365 quantize 7.8 1e0 -> 8 Inexact Rounded
325quax366 quantize 7.8 1e+1 -> 1E+1 Inexact Rounded
326quax367 quantize 7.8 1e+2 -> 0E+2 Inexact Rounded
327quax368 quantize 7.8 1e+3 -> 0E+3 Inexact Rounded
328
329quax370 quantize -7.8 1e-5 -> -7.80000
330quax371 quantize -7.8 1e-4 -> -7.8000
331quax372 quantize -7.8 1e-3 -> -7.800
332quax373 quantize -7.8 1e-2 -> -7.80
333quax374 quantize -7.8 1e-1 -> -7.8
334quax375 quantize -7.8 1e0 -> -8 Inexact Rounded
335quax376 quantize -7.8 1e+1 -> -1E+1 Inexact Rounded
336quax377 quantize -7.8 1e+2 -> -0E+2 Inexact Rounded
337quax378 quantize -7.8 1e+3 -> -0E+3 Inexact Rounded
338
339-- some individuals
340precision: 9
341quax380 quantize 352364.506 1e-2 -> 352364.51 Inexact Rounded
342quax381 quantize 3523645.06 1e-2 -> 3523645.06
343quax382 quantize 35236450.6 1e-2 -> NaN Invalid_operation
344quax383 quantize 352364506 1e-2 -> NaN Invalid_operation
345quax384 quantize -352364.506 1e-2 -> -352364.51 Inexact Rounded
346quax385 quantize -3523645.06 1e-2 -> -3523645.06
347quax386 quantize -35236450.6 1e-2 -> NaN Invalid_operation
348quax387 quantize -352364506 1e-2 -> NaN Invalid_operation
349
350rounding: down
351quax389 quantize 35236450.6 1e-2 -> NaN Invalid_operation
352-- ? should that one instead have been:
353-- quax389 quantize 35236450.6 1e-2 -> NaN Invalid_operation
354rounding: half_up
355
356-- and a few more from e-mail discussions
357precision: 7
358quax391 quantize 12.34567 1e-3 -> 12.346 Inexact Rounded
359quax392 quantize 123.4567 1e-3 -> 123.457 Inexact Rounded
360quax393 quantize 1234.567 1e-3 -> 1234.567
361quax394 quantize 12345.67 1e-3 -> NaN Invalid_operation
362quax395 quantize 123456.7 1e-3 -> NaN Invalid_operation
363quax396 quantize 1234567. 1e-3 -> NaN Invalid_operation
364
365-- some 9999 round-up cases
366precision: 9
367quax400 quantize 9.999 1e-5 -> 9.99900
368quax401 quantize 9.999 1e-4 -> 9.9990
369quax402 quantize 9.999 1e-3 -> 9.999
370quax403 quantize 9.999 1e-2 -> 10.00 Inexact Rounded
371quax404 quantize 9.999 1e-1 -> 10.0 Inexact Rounded
372quax405 quantize 9.999 1e0 -> 10 Inexact Rounded
373quax406 quantize 9.999 1e1 -> 1E+1 Inexact Rounded
374quax407 quantize 9.999 1e2 -> 0E+2 Inexact Rounded
375
376quax410 quantize 0.999 1e-5 -> 0.99900
377quax411 quantize 0.999 1e-4 -> 0.9990
378quax412 quantize 0.999 1e-3 -> 0.999
379quax413 quantize 0.999 1e-2 -> 1.00 Inexact Rounded
380quax414 quantize 0.999 1e-1 -> 1.0 Inexact Rounded
381quax415 quantize 0.999 1e0 -> 1 Inexact Rounded
382quax416 quantize 0.999 1e1 -> 0E+1 Inexact Rounded
383
384quax420 quantize 0.0999 1e-5 -> 0.09990
385quax421 quantize 0.0999 1e-4 -> 0.0999
386quax422 quantize 0.0999 1e-3 -> 0.100 Inexact Rounded
387quax423 quantize 0.0999 1e-2 -> 0.10 Inexact Rounded
388quax424 quantize 0.0999 1e-1 -> 0.1 Inexact Rounded
389quax425 quantize 0.0999 1e0 -> 0 Inexact Rounded
390quax426 quantize 0.0999 1e1 -> 0E+1 Inexact Rounded
391
392quax430 quantize 0.00999 1e-5 -> 0.00999
393quax431 quantize 0.00999 1e-4 -> 0.0100 Inexact Rounded
394quax432 quantize 0.00999 1e-3 -> 0.010 Inexact Rounded
395quax433 quantize 0.00999 1e-2 -> 0.01 Inexact Rounded
396quax434 quantize 0.00999 1e-1 -> 0.0 Inexact Rounded
397quax435 quantize 0.00999 1e0 -> 0 Inexact Rounded
398quax436 quantize 0.00999 1e1 -> 0E+1 Inexact Rounded
399
400quax440 quantize 0.000999 1e-5 -> 0.00100 Inexact Rounded
401quax441 quantize 0.000999 1e-4 -> 0.0010 Inexact Rounded
402quax442 quantize 0.000999 1e-3 -> 0.001 Inexact Rounded
403quax443 quantize 0.000999 1e-2 -> 0.00 Inexact Rounded
404quax444 quantize 0.000999 1e-1 -> 0.0 Inexact Rounded
405quax445 quantize 0.000999 1e0 -> 0 Inexact Rounded
406quax446 quantize 0.000999 1e1 -> 0E+1 Inexact Rounded
407
408precision: 8
409quax449 quantize 9.999E-15 1e-23 -> NaN Invalid_operation
410quax450 quantize 9.999E-15 1e-22 -> 9.9990000E-15
411quax451 quantize 9.999E-15 1e-21 -> 9.999000E-15
412quax452 quantize 9.999E-15 1e-20 -> 9.99900E-15
413quax453 quantize 9.999E-15 1e-19 -> 9.9990E-15
414quax454 quantize 9.999E-15 1e-18 -> 9.999E-15
415quax455 quantize 9.999E-15 1e-17 -> 1.000E-14 Inexact Rounded
416quax456 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded
417quax457 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded
418quax458 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded
419quax459 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded
420quax460 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded
421quax461 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded
422quax462 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded
423quax463 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded
424quax464 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded
425quax465 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded
426quax466 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded
427quax467 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded
428quax468 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded
429quax469 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded
430quax470 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded
431quax471 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded
432quax472 quantize 9.999E-15 1e0 -> 0 Inexact Rounded
433quax473 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded
434
Facundo Batista353750c2007-09-13 18:13:15 +0000435precision: 7
436quax900 quantize 9.999E-15 1e-22 -> NaN Invalid_operation
437quax901 quantize 9.999E-15 1e-21 -> 9.999000E-15
438quax902 quantize 9.999E-15 1e-20 -> 9.99900E-15
439quax903 quantize 9.999E-15 1e-19 -> 9.9990E-15
440quax904 quantize 9.999E-15 1e-18 -> 9.999E-15
441quax905 quantize 9.999E-15 1e-17 -> 1.000E-14 Inexact Rounded
442quax906 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded
443quax907 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded
444quax908 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded
445quax909 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded
446quax910 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded
447quax911 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded
448quax912 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded
449quax913 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded
450quax914 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded
451quax915 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded
452quax916 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded
453quax917 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded
454quax918 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded
455quax919 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded
456quax920 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded
457quax921 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded
458quax922 quantize 9.999E-15 1e0 -> 0 Inexact Rounded
459quax923 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded
460
461precision: 6
462quax930 quantize 9.999E-15 1e-22 -> NaN Invalid_operation
463quax931 quantize 9.999E-15 1e-21 -> NaN Invalid_operation
464quax932 quantize 9.999E-15 1e-20 -> 9.99900E-15
465quax933 quantize 9.999E-15 1e-19 -> 9.9990E-15
466quax934 quantize 9.999E-15 1e-18 -> 9.999E-15
467quax935 quantize 9.999E-15 1e-17 -> 1.000E-14 Inexact Rounded
468quax936 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded
469quax937 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded
470quax938 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded
471quax939 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded
472quax940 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded
473quax941 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded
474quax942 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded
475quax943 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded
476quax944 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded
477quax945 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded
478quax946 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded
479quax947 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded
480quax948 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded
481quax949 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded
482quax950 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded
483quax951 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded
484quax952 quantize 9.999E-15 1e0 -> 0 Inexact Rounded
485quax953 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded
486
487precision: 3
488quax960 quantize 9.999E-15 1e-22 -> NaN Invalid_operation
489quax961 quantize 9.999E-15 1e-21 -> NaN Invalid_operation
490quax962 quantize 9.999E-15 1e-20 -> NaN Invalid_operation
491quax963 quantize 9.999E-15 1e-19 -> NaN Invalid_operation
492quax964 quantize 9.999E-15 1e-18 -> NaN Invalid_operation
493quax965 quantize 9.999E-15 1e-17 -> NaN Invalid_operation
494quax966 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded
495quax967 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded
496quax968 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded
497quax969 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded
498quax970 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded
499quax971 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded
500quax972 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded
501quax973 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded
502quax974 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded
503quax975 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded
504quax976 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded
505quax977 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded
506quax978 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded
507quax979 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded
508quax980 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded
509quax981 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded
510quax982 quantize 9.999E-15 1e0 -> 0 Inexact Rounded
511quax983 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded
512
513-- Fung Lee's case & similar
514precision: 3
515quax1001 quantize 0.000 0.001 -> 0.000
516quax1002 quantize 0.001 0.001 -> 0.001
517quax1003 quantize 0.0012 0.001 -> 0.001 Inexact Rounded
518quax1004 quantize 0.0018 0.001 -> 0.002 Inexact Rounded
519quax1005 quantize 0.501 0.001 -> 0.501
520quax1006 quantize 0.5012 0.001 -> 0.501 Inexact Rounded
521quax1007 quantize 0.5018 0.001 -> 0.502 Inexact Rounded
522quax1008 quantize 0.999 0.001 -> 0.999
523quax1009 quantize 0.9992 0.001 -> 0.999 Inexact Rounded
524quax1010 quantize 0.9998 0.001 -> NaN Invalid_operation
525quax1011 quantize 1.0001 0.001 -> NaN Invalid_operation
526quax1012 quantize 1.0051 0.001 -> NaN Invalid_operation
527quax1013 quantize 1.0551 0.001 -> NaN Invalid_operation
528quax1014 quantize 1.5551 0.001 -> NaN Invalid_operation
529quax1015 quantize 1.9999 0.001 -> NaN Invalid_operation
530
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000531-- long operand checks [rhs checks removed]
532maxexponent: 999
533minexponent: -999
534precision: 9
535quax481 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded
536quax482 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded
537quax483 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded
538quax484 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded
539quax485 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded
540quax486 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded
541-- a potential double-round
542quax487 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded
543quax488 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded
544
545precision: 15
546quax491 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded
547quax492 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded
548quax493 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded
549quax494 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded
550quax495 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded
551quax496 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded
552quax497 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded
553quax498 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded
554
555-- Zeros
556quax500 quantize 0 1e1 -> 0E+1
557quax501 quantize 0 1e0 -> 0
558quax502 quantize 0 1e-1 -> 0.0
559quax503 quantize 0.0 1e-1 -> 0.0
560quax504 quantize 0.0 1e0 -> 0
561quax505 quantize 0.0 1e+1 -> 0E+1
562quax506 quantize 0E+1 1e-1 -> 0.0
563quax507 quantize 0E+1 1e0 -> 0
564quax508 quantize 0E+1 1e+1 -> 0E+1
565quax509 quantize -0 1e1 -> -0E+1
566quax510 quantize -0 1e0 -> -0
567quax511 quantize -0 1e-1 -> -0.0
568quax512 quantize -0.0 1e-1 -> -0.0
569quax513 quantize -0.0 1e0 -> -0
570quax514 quantize -0.0 1e+1 -> -0E+1
571quax515 quantize -0E+1 1e-1 -> -0.0
572quax516 quantize -0E+1 1e0 -> -0
573quax517 quantize -0E+1 1e+1 -> -0E+1
574
575-- Suspicious RHS values
576maxexponent: 999999999
577minexponent: -999999999
578precision: 15
579quax520 quantize 1.234 1e999999000 -> 0E+999999000 Inexact Rounded
580quax521 quantize 123.456 1e999999000 -> 0E+999999000 Inexact Rounded
581quax522 quantize 1.234 1e999999999 -> 0E+999999999 Inexact Rounded
582quax523 quantize 123.456 1e999999999 -> 0E+999999999 Inexact Rounded
583quax524 quantize 123.456 1e1000000000 -> NaN Invalid_operation
584quax525 quantize 123.456 1e12345678903 -> NaN Invalid_operation
585-- next four are "won't fit" overflows
586quax526 quantize 1.234 1e-999999000 -> NaN Invalid_operation
587quax527 quantize 123.456 1e-999999000 -> NaN Invalid_operation
588quax528 quantize 1.234 1e-999999999 -> NaN Invalid_operation
589quax529 quantize 123.456 1e-999999999 -> NaN Invalid_operation
590quax530 quantize 123.456 1e-1000000014 -> NaN Invalid_operation
591quax531 quantize 123.456 1e-12345678903 -> NaN Invalid_operation
592
593maxexponent: 999
594minexponent: -999
595precision: 15
596quax532 quantize 1.234E+999 1e999 -> 1E+999 Inexact Rounded
597quax533 quantize 1.234E+998 1e999 -> 0E+999 Inexact Rounded
598quax534 quantize 1.234 1e999 -> 0E+999 Inexact Rounded
599quax535 quantize 1.234 1e1000 -> NaN Invalid_operation
600quax536 quantize 1.234 1e5000 -> NaN Invalid_operation
601quax537 quantize 0 1e-999 -> 0E-999
602-- next two are "won't fit" overflows
603quax538 quantize 1.234 1e-999 -> NaN Invalid_operation
604quax539 quantize 1.234 1e-1000 -> NaN Invalid_operation
605quax540 quantize 1.234 1e-5000 -> NaN Invalid_operation
606-- [more below]
607
608-- check bounds (lhs maybe out of range for destination, etc.)
609precision: 7
610quax541 quantize 1E+999 1e+999 -> 1E+999
611quax542 quantize 1E+1000 1e+999 -> NaN Invalid_operation
612quax543 quantize 1E+999 1e+1000 -> NaN Invalid_operation
613quax544 quantize 1E-999 1e-999 -> 1E-999
614quax545 quantize 1E-1000 1e-999 -> 0E-999 Inexact Rounded
615quax546 quantize 1E-999 1e-1000 -> 1.0E-999
616quax547 quantize 1E-1005 1e-999 -> 0E-999 Inexact Rounded
617quax548 quantize 1E-1006 1e-999 -> 0E-999 Inexact Rounded
618quax549 quantize 1E-1007 1e-999 -> 0E-999 Inexact Rounded
619quax550 quantize 1E-998 1e-1005 -> NaN Invalid_operation -- won't fit
620quax551 quantize 1E-999 1e-1005 -> 1.000000E-999
621quax552 quantize 1E-1000 1e-1005 -> 1.00000E-1000 Subnormal
622quax553 quantize 1E-999 1e-1006 -> NaN Invalid_operation
623quax554 quantize 1E-999 1e-1007 -> NaN Invalid_operation
624-- related subnormal rounding
625quax555 quantize 1.666666E-999 1e-1005 -> 1.666666E-999
626quax556 quantize 1.666666E-1000 1e-1005 -> 1.66667E-1000 Subnormal Inexact Rounded
627quax557 quantize 1.666666E-1001 1e-1005 -> 1.6667E-1001 Subnormal Inexact Rounded
628quax558 quantize 1.666666E-1002 1e-1005 -> 1.667E-1002 Subnormal Inexact Rounded
629quax559 quantize 1.666666E-1003 1e-1005 -> 1.67E-1003 Subnormal Inexact Rounded
630quax560 quantize 1.666666E-1004 1e-1005 -> 1.7E-1004 Subnormal Inexact Rounded
631quax561 quantize 1.666666E-1005 1e-1005 -> 2E-1005 Subnormal Inexact Rounded
632quax562 quantize 1.666666E-1006 1e-1005 -> 0E-1005 Inexact Rounded
633quax563 quantize 1.666666E-1007 1e-1005 -> 0E-1005 Inexact Rounded
634
635-- Specials
636quax580 quantize Inf -Inf -> Infinity
637quax581 quantize Inf 1e-1000 -> NaN Invalid_operation
638quax582 quantize Inf 1e-1 -> NaN Invalid_operation
639quax583 quantize Inf 1e0 -> NaN Invalid_operation
640quax584 quantize Inf 1e1 -> NaN Invalid_operation
641quax585 quantize Inf 1e1000 -> NaN Invalid_operation
642quax586 quantize Inf Inf -> Infinity
643quax587 quantize -1000 Inf -> NaN Invalid_operation
644quax588 quantize -Inf Inf -> -Infinity
645quax589 quantize -1 Inf -> NaN Invalid_operation
646quax590 quantize 0 Inf -> NaN Invalid_operation
647quax591 quantize 1 Inf -> NaN Invalid_operation
648quax592 quantize 1000 Inf -> NaN Invalid_operation
649quax593 quantize Inf Inf -> Infinity
650quax594 quantize Inf 1e-0 -> NaN Invalid_operation
651quax595 quantize -0 Inf -> NaN Invalid_operation
652
653quax600 quantize -Inf -Inf -> -Infinity
654quax601 quantize -Inf 1e-1000 -> NaN Invalid_operation
655quax602 quantize -Inf 1e-1 -> NaN Invalid_operation
656quax603 quantize -Inf 1e0 -> NaN Invalid_operation
657quax604 quantize -Inf 1e1 -> NaN Invalid_operation
658quax605 quantize -Inf 1e1000 -> NaN Invalid_operation
659quax606 quantize -Inf Inf -> -Infinity
660quax607 quantize -1000 Inf -> NaN Invalid_operation
661quax608 quantize -Inf -Inf -> -Infinity
662quax609 quantize -1 -Inf -> NaN Invalid_operation
663quax610 quantize 0 -Inf -> NaN Invalid_operation
664quax611 quantize 1 -Inf -> NaN Invalid_operation
665quax612 quantize 1000 -Inf -> NaN Invalid_operation
666quax613 quantize Inf -Inf -> Infinity
667quax614 quantize -Inf 1e-0 -> NaN Invalid_operation
668quax615 quantize -0 -Inf -> NaN Invalid_operation
669
670quax621 quantize NaN -Inf -> NaN
671quax622 quantize NaN 1e-1000 -> NaN
672quax623 quantize NaN 1e-1 -> NaN
673quax624 quantize NaN 1e0 -> NaN
674quax625 quantize NaN 1e1 -> NaN
675quax626 quantize NaN 1e1000 -> NaN
676quax627 quantize NaN Inf -> NaN
677quax628 quantize NaN NaN -> NaN
678quax629 quantize -Inf NaN -> NaN
679quax630 quantize -1000 NaN -> NaN
680quax631 quantize -1 NaN -> NaN
681quax632 quantize 0 NaN -> NaN
682quax633 quantize 1 NaN -> NaN
683quax634 quantize 1000 NaN -> NaN
684quax635 quantize Inf NaN -> NaN
685quax636 quantize NaN 1e-0 -> NaN
686quax637 quantize -0 NaN -> NaN
687
688quax641 quantize sNaN -Inf -> NaN Invalid_operation
689quax642 quantize sNaN 1e-1000 -> NaN Invalid_operation
690quax643 quantize sNaN 1e-1 -> NaN Invalid_operation
691quax644 quantize sNaN 1e0 -> NaN Invalid_operation
692quax645 quantize sNaN 1e1 -> NaN Invalid_operation
693quax646 quantize sNaN 1e1000 -> NaN Invalid_operation
694quax647 quantize sNaN NaN -> NaN Invalid_operation
695quax648 quantize sNaN sNaN -> NaN Invalid_operation
696quax649 quantize NaN sNaN -> NaN Invalid_operation
697quax650 quantize -Inf sNaN -> NaN Invalid_operation
698quax651 quantize -1000 sNaN -> NaN Invalid_operation
699quax652 quantize -1 sNaN -> NaN Invalid_operation
700quax653 quantize 0 sNaN -> NaN Invalid_operation
701quax654 quantize 1 sNaN -> NaN Invalid_operation
702quax655 quantize 1000 sNaN -> NaN Invalid_operation
703quax656 quantize Inf sNaN -> NaN Invalid_operation
704quax657 quantize NaN sNaN -> NaN Invalid_operation
705quax658 quantize sNaN 1e-0 -> NaN Invalid_operation
706quax659 quantize -0 sNaN -> NaN Invalid_operation
707
708-- propagating NaNs
709quax661 quantize NaN9 -Inf -> NaN9
710quax662 quantize NaN8 919 -> NaN8
711quax663 quantize NaN71 Inf -> NaN71
712quax664 quantize NaN6 NaN5 -> NaN6
713quax665 quantize -Inf NaN4 -> NaN4
714quax666 quantize -919 NaN31 -> NaN31
715quax667 quantize Inf NaN2 -> NaN2
716
717quax671 quantize sNaN99 -Inf -> NaN99 Invalid_operation
718quax672 quantize sNaN98 -11 -> NaN98 Invalid_operation
719quax673 quantize sNaN97 NaN -> NaN97 Invalid_operation
720quax674 quantize sNaN16 sNaN94 -> NaN16 Invalid_operation
721quax675 quantize NaN95 sNaN93 -> NaN93 Invalid_operation
722quax676 quantize -Inf sNaN92 -> NaN92 Invalid_operation
723quax677 quantize 088 sNaN91 -> NaN91 Invalid_operation
724quax678 quantize Inf sNaN90 -> NaN90 Invalid_operation
725quax679 quantize NaN sNaN88 -> NaN88 Invalid_operation
726
727quax681 quantize -NaN9 -Inf -> -NaN9
728quax682 quantize -NaN8 919 -> -NaN8
729quax683 quantize -NaN71 Inf -> -NaN71
730quax684 quantize -NaN6 -NaN5 -> -NaN6
731quax685 quantize -Inf -NaN4 -> -NaN4
732quax686 quantize -919 -NaN31 -> -NaN31
733quax687 quantize Inf -NaN2 -> -NaN2
734
735quax691 quantize -sNaN99 -Inf -> -NaN99 Invalid_operation
736quax692 quantize -sNaN98 -11 -> -NaN98 Invalid_operation
737quax693 quantize -sNaN97 NaN -> -NaN97 Invalid_operation
738quax694 quantize -sNaN16 sNaN94 -> -NaN16 Invalid_operation
739quax695 quantize -NaN95 -sNaN93 -> -NaN93 Invalid_operation
740quax696 quantize -Inf -sNaN92 -> -NaN92 Invalid_operation
741quax697 quantize 088 -sNaN91 -> -NaN91 Invalid_operation
742quax698 quantize Inf -sNaN90 -> -NaN90 Invalid_operation
743quax699 quantize NaN -sNaN88 -> -NaN88 Invalid_operation
744
745-- subnormals and underflow
746precision: 4
747maxexponent: 999
748minexponent: -999
749quax710 quantize 1.00E-999 1e-999 -> 1E-999 Rounded
750quax711 quantize 0.1E-999 2e-1000 -> 1E-1000 Subnormal
751quax712 quantize 0.10E-999 3e-1000 -> 1E-1000 Subnormal Rounded
752quax713 quantize 0.100E-999 4e-1000 -> 1E-1000 Subnormal Rounded
753quax714 quantize 0.01E-999 5e-1001 -> 1E-1001 Subnormal
754-- next is rounded to Emin
755quax715 quantize 0.999E-999 1e-999 -> 1E-999 Inexact Rounded
756quax716 quantize 0.099E-999 10e-1000 -> 1E-1000 Inexact Rounded Subnormal
757
758quax717 quantize 0.009E-999 1e-1001 -> 1E-1001 Inexact Rounded Subnormal
759quax718 quantize 0.001E-999 1e-1001 -> 0E-1001 Inexact Rounded
760quax719 quantize 0.0009E-999 1e-1001 -> 0E-1001 Inexact Rounded
761quax720 quantize 0.0001E-999 1e-1001 -> 0E-1001 Inexact Rounded
762
763quax730 quantize -1.00E-999 1e-999 -> -1E-999 Rounded
764quax731 quantize -0.1E-999 1e-999 -> -0E-999 Rounded Inexact
765quax732 quantize -0.10E-999 1e-999 -> -0E-999 Rounded Inexact
766quax733 quantize -0.100E-999 1e-999 -> -0E-999 Rounded Inexact
767quax734 quantize -0.01E-999 1e-999 -> -0E-999 Inexact Rounded
768-- next is rounded to Emin
769quax735 quantize -0.999E-999 90e-999 -> -1E-999 Inexact Rounded
770quax736 quantize -0.099E-999 -1e-999 -> -0E-999 Inexact Rounded
771quax737 quantize -0.009E-999 -1e-999 -> -0E-999 Inexact Rounded
772quax738 quantize -0.001E-999 -0e-999 -> -0E-999 Inexact Rounded
773quax739 quantize -0.0001E-999 0e-999 -> -0E-999 Inexact Rounded
774
775quax740 quantize -1.00E-999 1e-1000 -> -1.0E-999 Rounded
776quax741 quantize -0.1E-999 1e-1000 -> -1E-1000 Subnormal
777quax742 quantize -0.10E-999 1e-1000 -> -1E-1000 Subnormal Rounded
778quax743 quantize -0.100E-999 1e-1000 -> -1E-1000 Subnormal Rounded
779quax744 quantize -0.01E-999 1e-1000 -> -0E-1000 Inexact Rounded
780-- next is rounded to Emin
781quax745 quantize -0.999E-999 1e-1000 -> -1.0E-999 Inexact Rounded
782quax746 quantize -0.099E-999 1e-1000 -> -1E-1000 Inexact Rounded Subnormal
783quax747 quantize -0.009E-999 1e-1000 -> -0E-1000 Inexact Rounded
784quax748 quantize -0.001E-999 1e-1000 -> -0E-1000 Inexact Rounded
785quax749 quantize -0.0001E-999 1e-1000 -> -0E-1000 Inexact Rounded
786
787quax750 quantize -1.00E-999 1e-1001 -> -1.00E-999
788quax751 quantize -0.1E-999 1e-1001 -> -1.0E-1000 Subnormal
789quax752 quantize -0.10E-999 1e-1001 -> -1.0E-1000 Subnormal
790quax753 quantize -0.100E-999 1e-1001 -> -1.0E-1000 Subnormal Rounded
791quax754 quantize -0.01E-999 1e-1001 -> -1E-1001 Subnormal
792-- next is rounded to Emin
793quax755 quantize -0.999E-999 1e-1001 -> -1.00E-999 Inexact Rounded
794quax756 quantize -0.099E-999 1e-1001 -> -1.0E-1000 Inexact Rounded Subnormal
795quax757 quantize -0.009E-999 1e-1001 -> -1E-1001 Inexact Rounded Subnormal
796quax758 quantize -0.001E-999 1e-1001 -> -0E-1001 Inexact Rounded
797quax759 quantize -0.0001E-999 1e-1001 -> -0E-1001 Inexact Rounded
798
799quax760 quantize -1.00E-999 1e-1002 -> -1.000E-999
800quax761 quantize -0.1E-999 1e-1002 -> -1.00E-1000 Subnormal
801quax762 quantize -0.10E-999 1e-1002 -> -1.00E-1000 Subnormal
802quax763 quantize -0.100E-999 1e-1002 -> -1.00E-1000 Subnormal
803quax764 quantize -0.01E-999 1e-1002 -> -1.0E-1001 Subnormal
804quax765 quantize -0.999E-999 1e-1002 -> -9.99E-1000 Subnormal
805quax766 quantize -0.099E-999 1e-1002 -> -9.9E-1001 Subnormal
806quax767 quantize -0.009E-999 1e-1002 -> -9E-1002 Subnormal
807quax768 quantize -0.001E-999 1e-1002 -> -1E-1002 Subnormal
808quax769 quantize -0.0001E-999 1e-1002 -> -0E-1002 Inexact Rounded
809
810-- rhs must be no less than Etiny
811quax770 quantize -1.00E-999 1e-1003 -> NaN Invalid_operation
812quax771 quantize -0.1E-999 1e-1003 -> NaN Invalid_operation
813quax772 quantize -0.10E-999 1e-1003 -> NaN Invalid_operation
814quax773 quantize -0.100E-999 1e-1003 -> NaN Invalid_operation
815quax774 quantize -0.01E-999 1e-1003 -> NaN Invalid_operation
816quax775 quantize -0.999E-999 1e-1003 -> NaN Invalid_operation
817quax776 quantize -0.099E-999 1e-1003 -> NaN Invalid_operation
818quax777 quantize -0.009E-999 1e-1003 -> NaN Invalid_operation
819quax778 quantize -0.001E-999 1e-1003 -> NaN Invalid_operation
820quax779 quantize -0.0001E-999 1e-1003 -> NaN Invalid_operation
821quax780 quantize -0.0001E-999 1e-1004 -> NaN Invalid_operation
822
823precision: 9
824maxExponent: 999999999
825minexponent: -999999999
826
827-- some extremes derived from Rescale testcases
828quax801 quantize 0 1e1000000000 -> NaN Invalid_operation
829quax802 quantize 0 1e-1000000000 -> 0E-1000000000
830quax803 quantize 0 1e2000000000 -> NaN Invalid_operation
831quax804 quantize 0 1e-2000000000 -> NaN Invalid_operation
832quax805 quantize 0 1e3000000000 -> NaN Invalid_operation
833quax806 quantize 0 1e-3000000000 -> NaN Invalid_operation
834quax807 quantize 0 1e4000000000 -> NaN Invalid_operation
835quax808 quantize 0 1e-4000000000 -> NaN Invalid_operation
836quax809 quantize 0 1e5000000000 -> NaN Invalid_operation
837quax810 quantize 0 1e-5000000000 -> NaN Invalid_operation
838quax811 quantize 0 1e6000000000 -> NaN Invalid_operation
839quax812 quantize 0 1e-6000000000 -> NaN Invalid_operation
840quax813 quantize 0 1e7000000000 -> NaN Invalid_operation
841quax814 quantize 0 1e-7000000000 -> NaN Invalid_operation
842quax815 quantize 0 1e8000000000 -> NaN Invalid_operation
843quax816 quantize 0 1e-8000000000 -> NaN Invalid_operation
844quax817 quantize 0 1e9000000000 -> NaN Invalid_operation
845quax818 quantize 0 1e-9000000000 -> NaN Invalid_operation
846quax819 quantize 0 1e9999999999 -> NaN Invalid_operation
847quax820 quantize 0 1e-9999999999 -> NaN Invalid_operation
848quax821 quantize 0 1e10000000000 -> NaN Invalid_operation
849quax822 quantize 0 1e-10000000000 -> NaN Invalid_operation
850
851quax843 quantize 0 1e999999999 -> 0E+999999999
852quax844 quantize 0 1e1000000000 -> NaN Invalid_operation
853quax845 quantize 0 1e-999999999 -> 0E-999999999
854quax846 quantize 0 1e-1000000000 -> 0E-1000000000
855quax847 quantize 0 1e-1000000001 -> 0E-1000000001
856quax848 quantize 0 1e-1000000002 -> 0E-1000000002
857quax849 quantize 0 1e-1000000003 -> 0E-1000000003
858quax850 quantize 0 1e-1000000004 -> 0E-1000000004
859quax851 quantize 0 1e-1000000005 -> 0E-1000000005
860quax852 quantize 0 1e-1000000006 -> 0E-1000000006
861quax853 quantize 0 1e-1000000007 -> 0E-1000000007
862quax854 quantize 0 1e-1000000008 -> NaN Invalid_operation
863
864quax861 quantize 1 1e+2147483649 -> NaN Invalid_operation
865quax862 quantize 1 1e+2147483648 -> NaN Invalid_operation
866quax863 quantize 1 1e+2147483647 -> NaN Invalid_operation
867quax864 quantize 1 1e-2147483647 -> NaN Invalid_operation
868quax865 quantize 1 1e-2147483648 -> NaN Invalid_operation
869quax866 quantize 1 1e-2147483649 -> NaN Invalid_operation
870
Facundo Batista353750c2007-09-13 18:13:15 +0000871-- More from Fung Lee
872precision: 16
873rounding: half_up
874maxExponent: 384
875minExponent: -383
876quax1021 quantize 8.666666666666000E+384 1.000000000000000E+384 -> 8.666666666666000E+384
877quax1022 quantize 64#8.666666666666000E+384 64#1.000000000000000E+384 -> 8.666666666666000E+384
878quax1023 quantize 64#8.666666666666000E+384 128#1.000000000000000E+384 -> 8.666666666666000E+384
879quax1024 quantize 64#8.666666666666000E+384 64#1E+384 -> 8.666666666666000E+384
880quax1025 quantize 64#8.666666666666000E+384 64#1E+384 -> 64#8.666666666666000E+384
881quax1026 quantize 64#8.666666666666000E+384 128#1E+384 -> 64#9E+384 Inexact Rounded Clamped
882quax1027 quantize 64#8.666666666666000E+323 64#1E+31 -> NaN Invalid_operation
883quax1028 quantize 64#8.666666666666000E+323 128#1E+31 -> NaN Invalid_operation
884quax1029 quantize 64#8.66666666E+3 128#1E+10 -> 64#0E10 Inexact Rounded
885quax1030 quantize 8.66666666E+3 1E+3 -> 9E+3 Inexact Rounded
886
887-- Int and uInt32 edge values for testing conversions
888quax1040 quantize -2147483646 0 -> -2147483646
889quax1041 quantize -2147483647 0 -> -2147483647
890quax1042 quantize -2147483648 0 -> -2147483648
891quax1043 quantize -2147483649 0 -> -2147483649
892quax1044 quantize 2147483646 0 -> 2147483646
893quax1045 quantize 2147483647 0 -> 2147483647
894quax1046 quantize 2147483648 0 -> 2147483648
895quax1047 quantize 2147483649 0 -> 2147483649
896quax1048 quantize 4294967294 0 -> 4294967294
897quax1049 quantize 4294967295 0 -> 4294967295
898quax1050 quantize 4294967296 0 -> 4294967296
899quax1051 quantize 4294967297 0 -> 4294967297
900-- and powers of ten for same
901quax1101 quantize 5000000000 0 -> 5000000000
902quax1102 quantize 4000000000 0 -> 4000000000
903quax1103 quantize 2000000000 0 -> 2000000000
904quax1104 quantize 1000000000 0 -> 1000000000
905quax1105 quantize 0100000000 0 -> 100000000
906quax1106 quantize 0010000000 0 -> 10000000
907quax1107 quantize 0001000000 0 -> 1000000
908quax1108 quantize 0000100000 0 -> 100000
909quax1109 quantize 0000010000 0 -> 10000
910quax1110 quantize 0000001000 0 -> 1000
911quax1111 quantize 0000000100 0 -> 100
912quax1112 quantize 0000000010 0 -> 10
913quax1113 quantize 0000000001 0 -> 1
914quax1114 quantize 0000000000 0 -> 0
915-- and powers of ten for same
916quax1121 quantize -5000000000 0 -> -5000000000
917quax1122 quantize -4000000000 0 -> -4000000000
918quax1123 quantize -2000000000 0 -> -2000000000
919quax1124 quantize -1000000000 0 -> -1000000000
920quax1125 quantize -0100000000 0 -> -100000000
921quax1126 quantize -0010000000 0 -> -10000000
922quax1127 quantize -0001000000 0 -> -1000000
923quax1128 quantize -0000100000 0 -> -100000
924quax1129 quantize -0000010000 0 -> -10000
925quax1130 quantize -0000001000 0 -> -1000
926quax1131 quantize -0000000100 0 -> -100
927quax1132 quantize -0000000010 0 -> -10
928quax1133 quantize -0000000001 0 -> -1
929quax1134 quantize -0000000000 0 -> -0
930
931-- Some miscellany
932precision: 34
933rounding: half_up
934maxExponent: 6144
935minExponent: -6143
936-- 1 2 3
937-- 1 234567890123456789012345678901234
938quax0a1 quantize 8.555555555555555555555555555555555E+6143 1E+6143 -> 9E+6143 Inexact Rounded
939quax0a2 quantize 128#8.555555555555555555555555555555555E+6143 128#1E+6143 -> 8.55555555555555555555555555555556E+6143 Rounded Inexact
940quax0a3 quantize 128#8.555555555555555555555555555555555E+6144 128#1E+6144 -> 8.555555555555555555555555555555555E+6144
941
942-- payload decapitate
943precision: 5
944quax62100 quantize 11 -sNaN1234567890 -> -NaN67890 Invalid_operation
945
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000946-- Null tests
Facundo Batista353750c2007-09-13 18:13:15 +0000947quax998 quantize 10 # -> NaN Invalid_operation
948quax999 quantize # 1e10 -> NaN Invalid_operation