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1------------------------------------------------------------------------
2-- rescale.decTest -- decimal rescale operation                       --
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      --
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: 2.59
21
22-- [obsolete]   Quantize.decTest has the improved version
23
24-- 2004.03.15 Underflow for quantize is suppressed
25
26extended:    1
27precision:   9
28rounding:    half_up
29maxExponent: 999
30minexponent: -999
31
32-- sanity checks
33
34resx001 rescale 0       0   -> 0
35resx002 rescale 1       0   -> 1
36resx003 rescale 0.1    +2   -> 0E+2 Inexact Rounded
37resx005 rescale 0.1    +1   -> 0E+1 Inexact Rounded
38resx006 rescale 0.1     0   -> 0 Inexact Rounded
39resx007 rescale 0.1    -1   -> 0.1
40resx008 rescale 0.1    -2   -> 0.10
41resx009 rescale 0.1    -3   -> 0.100
42resx010 rescale 0.9    +2   -> 0E+2 Inexact Rounded
43resx011 rescale 0.9    +1   -> 0E+1 Inexact Rounded
44resx012 rescale 0.9    +0   -> 1 Inexact Rounded
45resx013 rescale 0.9    -1   -> 0.9
46resx014 rescale 0.9    -2   -> 0.90
47resx015 rescale 0.9    -3   -> 0.900
48-- negatives
49resx021 rescale -0      0   -> -0
50resx022 rescale -1      0   -> -1
51resx023 rescale -0.1   +2   -> -0E+2 Inexact Rounded
52resx025 rescale -0.1   +1   -> -0E+1 Inexact Rounded
53resx026 rescale -0.1    0   -> -0 Inexact Rounded
54resx027 rescale -0.1   -1   -> -0.1
55resx028 rescale -0.1   -2   -> -0.10
56resx029 rescale -0.1   -3   -> -0.100
57resx030 rescale -0.9   +2   -> -0E+2 Inexact Rounded
58resx031 rescale -0.9   +1   -> -0E+1 Inexact Rounded
59resx032 rescale -0.9   +0   -> -1 Inexact Rounded
60resx033 rescale -0.9   -1   -> -0.9
61resx034 rescale -0.9   -2   -> -0.90
62resx035 rescale -0.9   -3   -> -0.900
63resx036 rescale -0.5   +2   -> -0E+2 Inexact Rounded
64resx037 rescale -0.5   +1   -> -0E+1 Inexact Rounded
65resx038 rescale -0.5   +0   -> -1 Inexact Rounded
66resx039 rescale -0.5   -1   -> -0.5
67resx040 rescale -0.5   -2   -> -0.50
68resx041 rescale -0.5   -3   -> -0.500
69resx042 rescale -0.9   +2   -> -0E+2 Inexact Rounded
70resx043 rescale -0.9   +1   -> -0E+1 Inexact Rounded
71resx044 rescale -0.9   +0   -> -1 Inexact Rounded
72resx045 rescale -0.9   -1   -> -0.9
73resx046 rescale -0.9   -2   -> -0.90
74resx047 rescale -0.9   -3   -> -0.900
75
76-- examples from Specification
77resx060 rescale 2.17   -3   -> 2.170
78resx061 rescale 2.17   -2   -> 2.17
79resx062 rescale 2.17   -1   -> 2.2 Inexact Rounded
80resx063 rescale 2.17    0   -> 2 Inexact Rounded
81resx064 rescale 2.17   +1   -> 0E+1 Inexact Rounded
82resx065 rescale 2      Inf  -> NaN Invalid_operation
83resx066 rescale -0.1    0   -> -0 Inexact Rounded
84resx067 rescale -0      5   -> -0E+5
85resx068 rescale +35236450.6 -2 -> NaN Invalid_operation
86resx069 rescale -35236450.6 -2 -> NaN Invalid_operation
87resx070 rescale 217    -1   -> 217.0
88resx071 rescale 217     0   -> 217
89resx072 rescale 217    +1   -> 2.2E+2 Inexact Rounded
90resx073 rescale 217    +2   -> 2E+2 Inexact Rounded
91
92-- general tests ..
93resx089 rescale 12     +4   -> 0E+4 Inexact Rounded
94resx090 rescale 12     +3   -> 0E+3 Inexact Rounded
95resx091 rescale 12     +2   -> 0E+2 Inexact Rounded
96resx092 rescale 12     +1   -> 1E+1 Inexact Rounded
97resx093 rescale 1.2345 -2   -> 1.23 Inexact Rounded
98resx094 rescale 1.2355 -2   -> 1.24 Inexact Rounded
99resx095 rescale 1.2345 -6   -> 1.234500
100resx096 rescale 9.9999 -2   -> 10.00 Inexact Rounded
101resx097 rescale 0.0001 -2   -> 0.00 Inexact Rounded
102resx098 rescale 0.001  -2   -> 0.00 Inexact Rounded
103resx099 rescale 0.009  -2   -> 0.01 Inexact Rounded
104resx100 rescale 92     +2   -> 1E+2 Inexact Rounded
105
106resx101 rescale -1      0   ->  -1
107resx102 rescale -1     -1   ->  -1.0
108resx103 rescale -1     -2   ->  -1.00
109resx104 rescale  0      0   ->  0
110resx105 rescale  0     -1   ->  0.0
111resx106 rescale  0     -2   ->  0.00
112resx107 rescale  0.00   0   ->  0
113resx108 rescale  0     +1   ->  0E+1
114resx109 rescale  0     +2   ->  0E+2
115resx110 rescale +1      0   ->  1
116resx111 rescale +1     -1   ->  1.0
117resx112 rescale +1     -2   ->  1.00
118
119resx120 rescale   1.04  -3 ->  1.040
120resx121 rescale   1.04  -2 ->  1.04
121resx122 rescale   1.04  -1 ->  1.0 Inexact Rounded
122resx123 rescale   1.04   0 ->  1 Inexact Rounded
123resx124 rescale   1.05  -3 ->  1.050
124resx125 rescale   1.05  -2 ->  1.05
125resx126 rescale   1.05  -1 ->  1.1 Inexact Rounded
126resx127 rescale   1.05   0 ->  1 Inexact Rounded
127resx128 rescale   1.05  -3 ->  1.050
128resx129 rescale   1.05  -2 ->  1.05
129resx130 rescale   1.05  -1 ->  1.1 Inexact Rounded
130resx131 rescale   1.05   0 ->  1 Inexact Rounded
131resx132 rescale   1.06  -3 ->  1.060
132resx133 rescale   1.06  -2 ->  1.06
133resx134 rescale   1.06  -1 ->  1.1 Inexact Rounded
134resx135 rescale   1.06   0 ->  1 Inexact Rounded
135
136resx140 rescale   -10    -2  ->  -10.00
137resx141 rescale   +1     -2  ->  1.00
138resx142 rescale   +10    -2  ->  10.00
139resx143 rescale   1E+10  -2  ->  NaN Invalid_operation
140resx144 rescale   1E-10  -2  ->  0.00 Inexact Rounded
141resx145 rescale   1E-3   -2  ->  0.00 Inexact Rounded
142resx146 rescale   1E-2   -2  ->  0.01
143resx147 rescale   1E-1   -2  ->  0.10
144resx148 rescale   0E-10  -2  ->  0.00
145
146resx150 rescale   1.0600 -5 ->  1.06000
147resx151 rescale   1.0600 -4 ->  1.0600
148resx152 rescale   1.0600 -3 ->  1.060 Rounded
149resx153 rescale   1.0600 -2 ->  1.06 Rounded
150resx154 rescale   1.0600 -1 ->  1.1 Inexact Rounded
151resx155 rescale   1.0600  0 ->  1 Inexact Rounded
152
153-- +ve exponents ..
154resx201 rescale   -1   +0 ->  -1
155resx202 rescale   -1   +1 ->  -0E+1 Inexact Rounded
156resx203 rescale   -1   +2 ->  -0E+2 Inexact Rounded
157resx204 rescale    0   +0 ->  0
158resx205 rescale    0   +1 ->  0E+1
159resx206 rescale    0   +2 ->  0E+2
160resx207 rescale   +1   +0 ->  1
161resx208 rescale   +1   +1 ->  0E+1 Inexact Rounded
162resx209 rescale   +1   +2 ->  0E+2 Inexact Rounded
163
164resx220 rescale   1.04 +3 ->  0E+3 Inexact Rounded
165resx221 rescale   1.04 +2 ->  0E+2 Inexact Rounded
166resx222 rescale   1.04 +1 ->  0E+1 Inexact Rounded
167resx223 rescale   1.04 +0 ->  1 Inexact Rounded
168resx224 rescale   1.05 +3 ->  0E+3 Inexact Rounded
169resx225 rescale   1.05 +2 ->  0E+2 Inexact Rounded
170resx226 rescale   1.05 +1 ->  0E+1 Inexact Rounded
171resx227 rescale   1.05 +0 ->  1 Inexact Rounded
172resx228 rescale   1.05 +3 ->  0E+3 Inexact Rounded
173resx229 rescale   1.05 +2 ->  0E+2 Inexact Rounded
174resx230 rescale   1.05 +1 ->  0E+1 Inexact Rounded
175resx231 rescale   1.05 +0 ->  1 Inexact Rounded
176resx232 rescale   1.06 +3 ->  0E+3 Inexact Rounded
177resx233 rescale   1.06 +2 ->  0E+2 Inexact Rounded
178resx234 rescale   1.06 +1 ->  0E+1 Inexact Rounded
179resx235 rescale   1.06 +0 ->  1 Inexact Rounded
180
181resx240 rescale   -10   +1  ->  -1E+1 Rounded
182resx241 rescale   +1    +1  ->  0E+1 Inexact Rounded
183resx242 rescale   +10   +1  ->  1E+1 Rounded
184resx243 rescale   1E+1  +1  ->  1E+1          -- underneath this is E+1
185resx244 rescale   1E+2  +1  ->  1.0E+2        -- underneath this is E+1
186resx245 rescale   1E+3  +1  ->  1.00E+3       -- underneath this is E+1
187resx246 rescale   1E+4  +1  ->  1.000E+4      -- underneath this is E+1
188resx247 rescale   1E+5  +1  ->  1.0000E+5     -- underneath this is E+1
189resx248 rescale   1E+6  +1  ->  1.00000E+6    -- underneath this is E+1
190resx249 rescale   1E+7  +1  ->  1.000000E+7   -- underneath this is E+1
191resx250 rescale   1E+8  +1  ->  1.0000000E+8  -- underneath this is E+1
192resx251 rescale   1E+9  +1  ->  1.00000000E+9 -- underneath this is E+1
193-- next one tries to add 9 zeros
194resx252 rescale   1E+10 +1  ->  NaN Invalid_operation
195resx253 rescale   1E-10 +1  ->  0E+1 Inexact Rounded
196resx254 rescale   1E-2  +1  ->  0E+1 Inexact Rounded
197resx255 rescale   0E-10 +1  ->  0E+1
198resx256 rescale  -0E-10 +1  -> -0E+1
199resx257 rescale  -0E-1  +1  -> -0E+1
200resx258 rescale  -0     +1  -> -0E+1
201resx259 rescale  -0E+1  +1  -> -0E+1
202
203resx260 rescale   -10   +2  ->  -0E+2 Inexact Rounded
204resx261 rescale   +1    +2  ->  0E+2 Inexact Rounded
205resx262 rescale   +10   +2  ->  0E+2 Inexact Rounded
206resx263 rescale   1E+1  +2  ->  0E+2 Inexact Rounded
207resx264 rescale   1E+2  +2  ->  1E+2
208resx265 rescale   1E+3  +2  ->  1.0E+3
209resx266 rescale   1E+4  +2  ->  1.00E+4
210resx267 rescale   1E+5  +2  ->  1.000E+5
211resx268 rescale   1E+6  +2  ->  1.0000E+6
212resx269 rescale   1E+7  +2  ->  1.00000E+7
213resx270 rescale   1E+8  +2  ->  1.000000E+8
214resx271 rescale   1E+9  +2  ->  1.0000000E+9
215resx272 rescale   1E+10 +2  ->  1.00000000E+10
216resx273 rescale   1E-10 +2  ->  0E+2 Inexact Rounded
217resx274 rescale   1E-2  +2  ->  0E+2 Inexact Rounded
218resx275 rescale   0E-10 +2  ->  0E+2
219
220resx280 rescale   -10   +3  ->  -0E+3 Inexact Rounded
221resx281 rescale   +1    +3  ->  0E+3 Inexact Rounded
222resx282 rescale   +10   +3  ->  0E+3 Inexact Rounded
223resx283 rescale   1E+1  +3  ->  0E+3 Inexact Rounded
224resx284 rescale   1E+2  +3  ->  0E+3 Inexact Rounded
225resx285 rescale   1E+3  +3  ->  1E+3
226resx286 rescale   1E+4  +3  ->  1.0E+4
227resx287 rescale   1E+5  +3  ->  1.00E+5
228resx288 rescale   1E+6  +3  ->  1.000E+6
229resx289 rescale   1E+7  +3  ->  1.0000E+7
230resx290 rescale   1E+8  +3  ->  1.00000E+8
231resx291 rescale   1E+9  +3  ->  1.000000E+9
232resx292 rescale   1E+10 +3  ->  1.0000000E+10
233resx293 rescale   1E-10 +3  ->  0E+3 Inexact Rounded
234resx294 rescale   1E-2  +3  ->  0E+3 Inexact Rounded
235resx295 rescale   0E-10 +3  ->  0E+3
236
237-- round up from below [sign wrong in JIT compiler once]
238resx300 rescale   0.0078 -5 ->  0.00780
239resx301 rescale   0.0078 -4 ->  0.0078
240resx302 rescale   0.0078 -3 ->  0.008 Inexact Rounded
241resx303 rescale   0.0078 -2 ->  0.01 Inexact Rounded
242resx304 rescale   0.0078 -1 ->  0.0 Inexact Rounded
243resx305 rescale   0.0078  0 ->  0 Inexact Rounded
244resx306 rescale   0.0078 +1 ->  0E+1 Inexact Rounded
245resx307 rescale   0.0078 +2 ->  0E+2 Inexact Rounded
246
247resx310 rescale  -0.0078 -5 -> -0.00780
248resx311 rescale  -0.0078 -4 -> -0.0078
249resx312 rescale  -0.0078 -3 -> -0.008 Inexact Rounded
250resx313 rescale  -0.0078 -2 -> -0.01 Inexact Rounded
251resx314 rescale  -0.0078 -1 -> -0.0 Inexact Rounded
252resx315 rescale  -0.0078  0 -> -0 Inexact Rounded
253resx316 rescale  -0.0078 +1 -> -0E+1 Inexact Rounded
254resx317 rescale  -0.0078 +2 -> -0E+2 Inexact Rounded
255
256resx320 rescale   0.078 -5 ->  0.07800
257resx321 rescale   0.078 -4 ->  0.0780
258resx322 rescale   0.078 -3 ->  0.078
259resx323 rescale   0.078 -2 ->  0.08 Inexact Rounded
260resx324 rescale   0.078 -1 ->  0.1 Inexact Rounded
261resx325 rescale   0.078  0 ->  0 Inexact Rounded
262resx326 rescale   0.078 +1 ->  0E+1 Inexact Rounded
263resx327 rescale   0.078 +2 ->  0E+2 Inexact Rounded
264
265resx330 rescale  -0.078 -5 -> -0.07800
266resx331 rescale  -0.078 -4 -> -0.0780
267resx332 rescale  -0.078 -3 -> -0.078
268resx333 rescale  -0.078 -2 -> -0.08 Inexact Rounded
269resx334 rescale  -0.078 -1 -> -0.1 Inexact Rounded
270resx335 rescale  -0.078  0 -> -0 Inexact Rounded
271resx336 rescale  -0.078 +1 -> -0E+1 Inexact Rounded
272resx337 rescale  -0.078 +2 -> -0E+2 Inexact Rounded
273
274resx340 rescale   0.78 -5 ->  0.78000
275resx341 rescale   0.78 -4 ->  0.7800
276resx342 rescale   0.78 -3 ->  0.780
277resx343 rescale   0.78 -2 ->  0.78
278resx344 rescale   0.78 -1 ->  0.8 Inexact Rounded
279resx345 rescale   0.78  0 ->  1 Inexact Rounded
280resx346 rescale   0.78 +1 ->  0E+1 Inexact Rounded
281resx347 rescale   0.78 +2 ->  0E+2 Inexact Rounded
282
283resx350 rescale  -0.78 -5 -> -0.78000
284resx351 rescale  -0.78 -4 -> -0.7800
285resx352 rescale  -0.78 -3 -> -0.780
286resx353 rescale  -0.78 -2 -> -0.78
287resx354 rescale  -0.78 -1 -> -0.8 Inexact Rounded
288resx355 rescale  -0.78  0 -> -1 Inexact Rounded
289resx356 rescale  -0.78 +1 -> -0E+1 Inexact Rounded
290resx357 rescale  -0.78 +2 -> -0E+2 Inexact Rounded
291
292resx360 rescale   7.8 -5 ->  7.80000
293resx361 rescale   7.8 -4 ->  7.8000
294resx362 rescale   7.8 -3 ->  7.800
295resx363 rescale   7.8 -2 ->  7.80
296resx364 rescale   7.8 -1 ->  7.8
297resx365 rescale   7.8  0 ->  8 Inexact Rounded
298resx366 rescale   7.8 +1 ->  1E+1 Inexact Rounded
299resx367 rescale   7.8 +2 ->  0E+2 Inexact Rounded
300resx368 rescale   7.8 +3 ->  0E+3 Inexact Rounded
301
302resx370 rescale  -7.8 -5 -> -7.80000
303resx371 rescale  -7.8 -4 -> -7.8000
304resx372 rescale  -7.8 -3 -> -7.800
305resx373 rescale  -7.8 -2 -> -7.80
306resx374 rescale  -7.8 -1 -> -7.8
307resx375 rescale  -7.8  0 -> -8 Inexact Rounded
308resx376 rescale  -7.8 +1 -> -1E+1 Inexact Rounded
309resx377 rescale  -7.8 +2 -> -0E+2 Inexact Rounded
310resx378 rescale  -7.8 +3 -> -0E+3 Inexact Rounded
311
312-- some individuals
313precision: 9
314resx380 rescale   352364.506 -2 -> 352364.51 Inexact Rounded
315resx381 rescale   3523645.06 -2 -> 3523645.06
316resx382 rescale   35236450.6 -2 -> NaN Invalid_operation
317resx383 rescale   352364506  -2 -> NaN Invalid_operation
318resx384 rescale  -352364.506 -2 -> -352364.51 Inexact Rounded
319resx385 rescale  -3523645.06 -2 -> -3523645.06
320resx386 rescale  -35236450.6 -2 -> NaN Invalid_operation
321resx387 rescale  -352364506  -2 -> NaN Invalid_operation
322
323rounding: down
324resx389 rescale   35236450.6 -2 -> NaN Invalid_operation
325-- ? should that one instead have been:
326-- resx389 rescale   35236450.6 -2 -> NaN Invalid_operation
327rounding: half_up
328
329-- and a few more from e-mail discussions
330precision: 7
331resx391 rescale  12.34567  -3 -> 12.346   Inexact Rounded
332resx392 rescale  123.4567  -3 -> 123.457  Inexact Rounded
333resx393 rescale  1234.567  -3 -> 1234.567
334resx394 rescale  12345.67  -3 -> NaN Invalid_operation
335resx395 rescale  123456.7  -3 -> NaN Invalid_operation
336resx396 rescale  1234567.  -3 -> NaN Invalid_operation
337
338-- some 9999 round-up cases
339precision: 9
340resx400 rescale   9.999        -5  ->  9.99900
341resx401 rescale   9.999        -4  ->  9.9990
342resx402 rescale   9.999        -3  ->  9.999
343resx403 rescale   9.999        -2  -> 10.00     Inexact Rounded
344resx404 rescale   9.999        -1  -> 10.0      Inexact Rounded
345resx405 rescale   9.999         0  -> 10        Inexact Rounded
346resx406 rescale   9.999         1  -> 1E+1      Inexact Rounded
347resx407 rescale   9.999         2  -> 0E+2      Inexact Rounded
348
349resx410 rescale   0.999        -5  ->  0.99900
350resx411 rescale   0.999        -4  ->  0.9990
351resx412 rescale   0.999        -3  ->  0.999
352resx413 rescale   0.999        -2  ->  1.00     Inexact Rounded
353resx414 rescale   0.999        -1  ->  1.0      Inexact Rounded
354resx415 rescale   0.999         0  ->  1        Inexact Rounded
355resx416 rescale   0.999         1  -> 0E+1      Inexact Rounded
356
357resx420 rescale   0.0999       -5  ->  0.09990
358resx421 rescale   0.0999       -4  ->  0.0999
359resx422 rescale   0.0999       -3  ->  0.100    Inexact Rounded
360resx423 rescale   0.0999       -2  ->  0.10     Inexact Rounded
361resx424 rescale   0.0999       -1  ->  0.1      Inexact Rounded
362resx425 rescale   0.0999        0  ->  0        Inexact Rounded
363resx426 rescale   0.0999        1  -> 0E+1      Inexact Rounded
364
365resx430 rescale   0.00999      -5  ->  0.00999
366resx431 rescale   0.00999      -4  ->  0.0100   Inexact Rounded
367resx432 rescale   0.00999      -3  ->  0.010    Inexact Rounded
368resx433 rescale   0.00999      -2  ->  0.01     Inexact Rounded
369resx434 rescale   0.00999      -1  ->  0.0      Inexact Rounded
370resx435 rescale   0.00999       0  ->  0        Inexact Rounded
371resx436 rescale   0.00999       1  -> 0E+1      Inexact Rounded
372
373resx440 rescale   0.000999     -5  ->  0.00100  Inexact Rounded
374resx441 rescale   0.000999     -4  ->  0.0010   Inexact Rounded
375resx442 rescale   0.000999     -3  ->  0.001    Inexact Rounded
376resx443 rescale   0.000999     -2  ->  0.00     Inexact Rounded
377resx444 rescale   0.000999     -1  ->  0.0      Inexact Rounded
378resx445 rescale   0.000999      0  ->  0        Inexact Rounded
379resx446 rescale   0.000999      1  -> 0E+1      Inexact Rounded
380
381precision: 8
382resx449 rescale   9.999E-15    -23 ->  NaN      Invalid_operation
383resx450 rescale   9.999E-15    -22 ->  9.9990000E-15
384resx451 rescale   9.999E-15    -21 ->  9.999000E-15
385resx452 rescale   9.999E-15    -20 ->  9.99900E-15
386resx453 rescale   9.999E-15    -19 ->  9.9990E-15
387resx454 rescale   9.999E-15    -18 ->  9.999E-15
388resx455 rescale   9.999E-15    -17 ->  1.000E-14 Inexact Rounded
389resx456 rescale   9.999E-15    -16 ->  1.00E-14  Inexact Rounded
390resx457 rescale   9.999E-15    -15 ->  1.0E-14   Inexact Rounded
391resx458 rescale   9.999E-15    -14 ->  1E-14     Inexact Rounded
392resx459 rescale   9.999E-15    -13 ->  0E-13     Inexact Rounded
393resx460 rescale   9.999E-15    -12 ->  0E-12     Inexact Rounded
394resx461 rescale   9.999E-15    -11 ->  0E-11     Inexact Rounded
395resx462 rescale   9.999E-15    -10 ->  0E-10     Inexact Rounded
396resx463 rescale   9.999E-15     -9 ->  0E-9      Inexact Rounded
397resx464 rescale   9.999E-15     -8 ->  0E-8      Inexact Rounded
398resx465 rescale   9.999E-15     -7 ->  0E-7      Inexact Rounded
399resx466 rescale   9.999E-15     -6 ->  0.000000  Inexact Rounded
400resx467 rescale   9.999E-15     -5 ->  0.00000   Inexact Rounded
401resx468 rescale   9.999E-15     -4 ->  0.0000    Inexact Rounded
402resx469 rescale   9.999E-15     -3 ->  0.000     Inexact Rounded
403resx470 rescale   9.999E-15     -2 ->  0.00      Inexact Rounded
404resx471 rescale   9.999E-15     -1 ->  0.0       Inexact Rounded
405resx472 rescale   9.999E-15      0 ->  0         Inexact Rounded
406resx473 rescale   9.999E-15      1 ->  0E+1      Inexact Rounded
407
408-- [additional tests for "don't fit" edge cases are in
409-- quantize.decTest.  Here's a critical one.]
410precision: 3
411resx480 rescale   0.9999        -3 ->  NaN       Invalid_operation
412
413
414-- long operand checks [rhs checks removed]
415maxexponent: 999
416minexponent: -999
417precision: 9
418resx481 rescale 12345678000 +3 -> 1.2345678E+10 Rounded
419resx482 rescale 1234567800  +1 -> 1.23456780E+9 Rounded
420resx483 rescale 1234567890  +1 -> 1.23456789E+9 Rounded
421resx484 rescale 1234567891  +1 -> 1.23456789E+9 Inexact Rounded
422resx485 rescale 12345678901 +2 -> 1.23456789E+10 Inexact Rounded
423resx486 rescale 1234567896  +1 -> 1.23456790E+9 Inexact Rounded
424-- a potential double-round
425resx487 rescale 1234.987643 -4 -> 1234.9876 Inexact Rounded
426resx488 rescale 1234.987647 -4 -> 1234.9876 Inexact Rounded
427
428precision: 15
429resx491 rescale 12345678000 +3 -> 1.2345678E+10 Rounded
430resx492 rescale 1234567800  +1 -> 1.23456780E+9 Rounded
431resx493 rescale 1234567890  +1 -> 1.23456789E+9 Rounded
432resx494 rescale 1234567891  +1 -> 1.23456789E+9 Inexact Rounded
433resx495 rescale 12345678901 +2 -> 1.23456789E+10 Inexact Rounded
434resx496 rescale 1234567896  +1 -> 1.23456790E+9 Inexact Rounded
435resx497 rescale 1234.987643 -4 -> 1234.9876 Inexact Rounded
436resx498 rescale 1234.987647 -4 -> 1234.9876 Inexact Rounded
437
438-- Zeros
439resx500 rescale   0     1 ->  0E+1
440resx501 rescale   0     0 ->  0
441resx502 rescale   0    -1 ->  0.0
442resx503 rescale   0.0  -1 ->  0.0
443resx504 rescale   0.0   0 ->  0
444resx505 rescale   0.0  +1 ->  0E+1
445resx506 rescale   0E+1 -1 ->  0.0
446resx507 rescale   0E+1  0 ->  0
447resx508 rescale   0E+1 +1 ->  0E+1
448resx509 rescale  -0     1 -> -0E+1
449resx510 rescale  -0     0 -> -0
450resx511 rescale  -0    -1 -> -0.0
451resx512 rescale  -0.0  -1 -> -0.0
452resx513 rescale  -0.0   0 -> -0
453resx514 rescale  -0.0  +1 -> -0E+1
454resx515 rescale  -0E+1 -1 -> -0.0
455resx516 rescale  -0E+1  0 -> -0
456resx517 rescale  -0E+1 +1 -> -0E+1
457
458-- Suspicious RHS values
459maxexponent: 999999999
460minexponent: -999999999
461precision: 15
462resx520 rescale   1.234    999999E+3 -> 0E+999999000 Inexact Rounded
463resx521 rescale 123.456    999999E+3 -> 0E+999999000 Inexact Rounded
464resx522 rescale   1.234    999999999 -> 0E+999999999 Inexact Rounded
465resx523 rescale 123.456    999999999 -> 0E+999999999 Inexact Rounded
466resx524 rescale 123.456   1000000000 -> NaN Invalid_operation
467resx525 rescale 123.456  12345678903 -> NaN Invalid_operation
468-- next four are "won't fit" overflows
469resx526 rescale   1.234   -999999E+3 -> NaN Invalid_operation
470resx527 rescale 123.456   -999999E+3 -> NaN Invalid_operation
471resx528 rescale   1.234   -999999999 -> NaN Invalid_operation
472resx529 rescale 123.456   -999999999 -> NaN Invalid_operation
473resx530 rescale 123.456  -1000000014 -> NaN Invalid_operation
474resx531 rescale 123.456 -12345678903 -> NaN Invalid_operation
475
476maxexponent: 999
477minexponent: -999
478precision: 15
479resx532 rescale   1.234E+999    999 -> 1E+999    Inexact Rounded
480resx533 rescale   1.234E+998    999 -> 0E+999    Inexact Rounded
481resx534 rescale   1.234         999 -> 0E+999    Inexact Rounded
482resx535 rescale   1.234        1000 -> NaN Invalid_operation
483resx536 rescale   1.234        5000 -> NaN Invalid_operation
484resx537 rescale   0            -999 -> 0E-999
485-- next two are "won't fit" overflows
486resx538 rescale   1.234        -999 -> NaN Invalid_operation
487resx539 rescale   1.234       -1000 -> NaN Invalid_operation
488resx540 rescale   1.234       -5000 -> NaN Invalid_operation
489-- [more below]
490
491-- check bounds (lhs maybe out of range for destination, etc.)
492precision:     7
493resx541 rescale   1E+999   +999 -> 1E+999
494resx542 rescale   1E+1000  +999 -> NaN Invalid_operation
495resx543 rescale   1E+999  +1000 -> NaN Invalid_operation
496resx544 rescale   1E-999   -999 -> 1E-999
497resx545 rescale   1E-1000  -999 -> 0E-999    Inexact Rounded
498resx546 rescale   1E-999  -1000 -> 1.0E-999
499resx547 rescale   1E-1005  -999 -> 0E-999    Inexact Rounded
500resx548 rescale   1E-1006  -999 -> 0E-999    Inexact Rounded
501resx549 rescale   1E-1007  -999 -> 0E-999    Inexact Rounded
502resx550 rescale   1E-998  -1005 -> NaN Invalid_operation  -- won't fit
503resx551 rescale   1E-999  -1005 -> 1.000000E-999
504resx552 rescale   1E-1000 -1005 -> 1.00000E-1000 Subnormal
505resx553 rescale   1E-999  -1006 -> NaN Invalid_operation
506resx554 rescale   1E-999  -1007 -> NaN Invalid_operation
507-- related subnormal rounding
508resx555 rescale   1.666666E-999  -1005 -> 1.666666E-999
509resx556 rescale   1.666666E-1000 -1005 -> 1.66667E-1000  Subnormal Inexact Rounded
510resx557 rescale   1.666666E-1001 -1005 -> 1.6667E-1001  Subnormal Inexact Rounded
511resx558 rescale   1.666666E-1002 -1005 -> 1.667E-1002  Subnormal Inexact Rounded
512resx559 rescale   1.666666E-1003 -1005 -> 1.67E-1003  Subnormal Inexact Rounded
513resx560 rescale   1.666666E-1004 -1005 -> 1.7E-1004  Subnormal Inexact Rounded
514resx561 rescale   1.666666E-1005 -1005 -> 2E-1005  Subnormal Inexact Rounded
515resx562 rescale   1.666666E-1006 -1005 -> 0E-1005   Inexact Rounded
516resx563 rescale   1.666666E-1007 -1005 -> 0E-1005   Inexact Rounded
517
518-- fractional RHS, some good and some bad
519precision: 9
520resx564 rescale   222 +2.0           -> 2E+2 Inexact Rounded
521resx565 rescale   222 +2.00000000    -> 2E+2 Inexact Rounded
522resx566 rescale   222 +2.00100000000 -> NaN Invalid_operation
523resx567 rescale   222 +2.000001      -> NaN Invalid_operation
524resx568 rescale   222 +2.000000001   -> NaN Invalid_operation
525resx569 rescale   222 +2.0000000001  -> NaN Invalid_operation
526resx570 rescale   222 +2.00000000001 -> NaN Invalid_operation
527resx571 rescale   222 +2.99999999999 -> NaN Invalid_operation
528resx572 rescale   222 -2.00000000    -> 222.00
529resx573 rescale   222 -2.00100000000 -> NaN Invalid_operation
530resx574 rescale   222 -2.0000001000  -> NaN Invalid_operation
531resx575 rescale   222 -2.00000000001 -> NaN Invalid_operation
532resx576 rescale   222 -2.99999999999 -> NaN Invalid_operation
533
534-- Specials
535resx580 rescale  Inf  -Inf   ->  Infinity
536resx581 rescale  Inf  -1000  ->  NaN  Invalid_operation
537resx582 rescale  Inf  -1     ->  NaN  Invalid_operation
538resx583 rescale  Inf   0     ->  NaN  Invalid_operation
539resx584 rescale  Inf   1     ->  NaN  Invalid_operation
540resx585 rescale  Inf   1000  ->  NaN  Invalid_operation
541resx586 rescale  Inf   Inf   ->  Infinity
542resx587 rescale -1000  Inf   ->  NaN  Invalid_operation
543resx588 rescale -Inf   Inf   ->  -Infinity
544resx589 rescale -1     Inf   ->  NaN  Invalid_operation
545resx590 rescale  0     Inf   ->  NaN  Invalid_operation
546resx591 rescale  1     Inf   ->  NaN  Invalid_operation
547resx592 rescale  1000  Inf   ->  NaN  Invalid_operation
548resx593 rescale  Inf   Inf   ->  Infinity
549resx594 rescale  Inf  -0     ->  NaN  Invalid_operation
550resx595 rescale -0     Inf   ->  NaN  Invalid_operation
551
552resx600 rescale -Inf  -Inf   ->  -Infinity
553resx601 rescale -Inf  -1000  ->  NaN  Invalid_operation
554resx602 rescale -Inf  -1     ->  NaN  Invalid_operation
555resx603 rescale -Inf   0     ->  NaN  Invalid_operation
556resx604 rescale -Inf   1     ->  NaN  Invalid_operation
557resx605 rescale -Inf   1000  ->  NaN  Invalid_operation
558resx606 rescale -Inf   Inf   ->  -Infinity
559resx607 rescale -1000  Inf   ->  NaN  Invalid_operation
560resx608 rescale -Inf  -Inf   ->  -Infinity
561resx609 rescale -1    -Inf   ->  NaN  Invalid_operation
562resx610 rescale  0    -Inf   ->  NaN  Invalid_operation
563resx611 rescale  1    -Inf   ->  NaN  Invalid_operation
564resx612 rescale  1000 -Inf   ->  NaN  Invalid_operation
565resx613 rescale  Inf  -Inf   ->  Infinity
566resx614 rescale -Inf  -0     ->  NaN  Invalid_operation
567resx615 rescale -0    -Inf   ->  NaN  Invalid_operation
568
569resx621 rescale  NaN -Inf    ->  NaN
570resx622 rescale  NaN -1000   ->  NaN
571resx623 rescale  NaN -1      ->  NaN
572resx624 rescale  NaN  0      ->  NaN
573resx625 rescale  NaN  1      ->  NaN
574resx626 rescale  NaN  1000   ->  NaN
575resx627 rescale  NaN  Inf    ->  NaN
576resx628 rescale  NaN  NaN    ->  NaN
577resx629 rescale -Inf  NaN    ->  NaN
578resx630 rescale -1000 NaN    ->  NaN
579resx631 rescale -1    NaN    ->  NaN
580resx632 rescale  0    NaN    ->  NaN
581resx633 rescale  1   -NaN    -> -NaN
582resx634 rescale  1000 NaN    ->  NaN
583resx635 rescale  Inf  NaN    ->  NaN
584resx636 rescale  NaN -0      ->  NaN
585resx637 rescale -0    NaN    ->  NaN
586
587resx641 rescale  sNaN -Inf   ->  NaN  Invalid_operation
588resx642 rescale  sNaN -1000  ->  NaN  Invalid_operation
589resx643 rescale  sNaN -1     ->  NaN  Invalid_operation
590resx644 rescale  sNaN  0     ->  NaN  Invalid_operation
591resx645 rescale  sNaN  1     ->  NaN  Invalid_operation
592resx646 rescale  sNaN  1000  ->  NaN  Invalid_operation
593resx647 rescale -sNaN  NaN   -> -NaN  Invalid_operation
594resx648 rescale  sNaN -sNaN  ->  NaN  Invalid_operation
595resx649 rescale  NaN  sNaN   ->  NaN  Invalid_operation
596resx650 rescale -Inf  sNaN   ->  NaN  Invalid_operation
597resx651 rescale -1000 sNaN   ->  NaN  Invalid_operation
598resx652 rescale -1    sNaN   ->  NaN  Invalid_operation
599resx653 rescale  0    sNaN   ->  NaN  Invalid_operation
600resx654 rescale  1   -sNaN   -> -NaN  Invalid_operation
601resx655 rescale  1000 sNaN   ->  NaN  Invalid_operation
602resx656 rescale  Inf  sNaN   ->  NaN  Invalid_operation
603resx657 rescale  NaN  sNaN   ->  NaN  Invalid_operation
604resx658 rescale  sNaN -0     ->  NaN  Invalid_operation
605resx659 rescale -0    sNaN   ->  NaN  Invalid_operation
606
607-- propagating NaNs
608resx661 rescale  NaN9 -Inf   ->  NaN9
609resx662 rescale  NaN81 919   ->  NaN81
610resx663 rescale  NaN72 Inf   ->  NaN72
611resx664 rescale -NaN66 NaN5  -> -NaN66
612resx665 rescale -Inf   NaN4  ->  NaN4
613resx666 rescale -919   NaN32 ->  NaN32
614resx667 rescale  Inf   NaN2  ->  NaN2
615
616resx671 rescale  sNaN99 -Inf    ->  NaN99 Invalid_operation
617resx672 rescale -sNaN98 -11     -> -NaN98 Invalid_operation
618resx673 rescale  sNaN97  NaN    ->  NaN97 Invalid_operation
619resx674 rescale  sNaN16 sNaN94  ->  NaN16 Invalid_operation
620resx675 rescale  NaN95  sNaN93  ->  NaN93 Invalid_operation
621resx676 rescale -Inf    sNaN92  ->  NaN92 Invalid_operation
622resx677 rescale  088   -sNaN91  -> -NaN91 Invalid_operation
623resx678 rescale  Inf   -sNaN90  -> -NaN90 Invalid_operation
624resx679 rescale  NaN    sNaN87  ->  NaN87 Invalid_operation
625
626-- subnormals and underflow
627precision: 4
628maxexponent: 999
629minexponent: -999
630resx710 rescale  1.00E-999    -999  ->   1E-999    Rounded
631resx711 rescale  0.1E-999    -1000  ->   1E-1000   Subnormal
632resx712 rescale  0.10E-999   -1000  ->   1E-1000   Subnormal Rounded
633resx713 rescale  0.100E-999  -1000  ->   1E-1000   Subnormal Rounded
634resx714 rescale  0.01E-999   -1001  ->   1E-1001   Subnormal
635-- next is rounded to Emin
636resx715 rescale  0.999E-999   -999  ->   1E-999    Inexact Rounded
637resx716 rescale  0.099E-999  -1000  ->   1E-1000   Inexact Rounded Subnormal
638
639resx717 rescale  0.009E-999  -1001  ->   1E-1001   Inexact Rounded Subnormal
640resx718 rescale  0.001E-999  -1001  ->   0E-1001   Inexact Rounded
641resx719 rescale  0.0009E-999 -1001  ->   0E-1001   Inexact Rounded
642resx720 rescale  0.0001E-999 -1001  ->   0E-1001   Inexact Rounded
643
644resx730 rescale -1.00E-999   -999  ->  -1E-999     Rounded
645resx731 rescale -0.1E-999    -999  ->  -0E-999     Rounded Inexact
646resx732 rescale -0.10E-999   -999  ->  -0E-999     Rounded Inexact
647resx733 rescale -0.100E-999  -999  ->  -0E-999     Rounded Inexact
648resx734 rescale -0.01E-999   -999  ->  -0E-999     Inexact Rounded
649-- next is rounded to Emin
650resx735 rescale -0.999E-999  -999  ->  -1E-999     Inexact Rounded
651resx736 rescale -0.099E-999  -999  ->  -0E-999     Inexact Rounded
652resx737 rescale -0.009E-999  -999  ->  -0E-999     Inexact Rounded
653resx738 rescale -0.001E-999  -999  ->  -0E-999     Inexact Rounded
654resx739 rescale -0.0001E-999 -999  ->  -0E-999     Inexact Rounded
655
656resx740 rescale -1.00E-999   -1000 ->  -1.0E-999   Rounded
657resx741 rescale -0.1E-999    -1000 ->  -1E-1000    Subnormal
658resx742 rescale -0.10E-999   -1000 ->  -1E-1000    Subnormal Rounded
659resx743 rescale -0.100E-999  -1000 ->  -1E-1000    Subnormal Rounded
660resx744 rescale -0.01E-999   -1000 ->  -0E-1000    Inexact Rounded
661-- next is rounded to Emin
662resx745 rescale -0.999E-999  -1000 ->  -1.0E-999   Inexact Rounded
663resx746 rescale -0.099E-999  -1000 ->  -1E-1000    Inexact Rounded Subnormal
664resx747 rescale -0.009E-999  -1000 ->  -0E-1000    Inexact Rounded
665resx748 rescale -0.001E-999  -1000 ->  -0E-1000    Inexact Rounded
666resx749 rescale -0.0001E-999 -1000 ->  -0E-1000    Inexact Rounded
667
668resx750 rescale -1.00E-999   -1001 ->  -1.00E-999
669resx751 rescale -0.1E-999    -1001 ->  -1.0E-1000  Subnormal
670resx752 rescale -0.10E-999   -1001 ->  -1.0E-1000  Subnormal
671resx753 rescale -0.100E-999  -1001 ->  -1.0E-1000  Subnormal Rounded
672resx754 rescale -0.01E-999   -1001 ->  -1E-1001    Subnormal
673-- next is rounded to Emin
674resx755 rescale -0.999E-999  -1001 ->  -1.00E-999  Inexact Rounded
675resx756 rescale -0.099E-999  -1001 ->  -1.0E-1000  Inexact Rounded Subnormal
676resx757 rescale -0.009E-999  -1001 ->  -1E-1001    Inexact Rounded Subnormal
677resx758 rescale -0.001E-999  -1001 ->  -0E-1001    Inexact Rounded
678resx759 rescale -0.0001E-999 -1001 ->  -0E-1001    Inexact Rounded
679
680resx760 rescale -1.00E-999   -1002 ->  -1.000E-999
681resx761 rescale -0.1E-999    -1002 ->  -1.00E-1000  Subnormal
682resx762 rescale -0.10E-999   -1002 ->  -1.00E-1000  Subnormal
683resx763 rescale -0.100E-999  -1002 ->  -1.00E-1000  Subnormal
684resx764 rescale -0.01E-999   -1002 ->  -1.0E-1001   Subnormal
685resx765 rescale -0.999E-999  -1002 ->  -9.99E-1000  Subnormal
686resx766 rescale -0.099E-999  -1002 ->  -9.9E-1001   Subnormal
687resx767 rescale -0.009E-999  -1002 ->  -9E-1002     Subnormal
688resx768 rescale -0.001E-999  -1002 ->  -1E-1002     Subnormal
689resx769 rescale -0.0001E-999 -1002 ->  -0E-1002     Inexact Rounded
690
691-- rhs must be no less than Etiny
692resx770 rescale -1.00E-999   -1003 ->  NaN Invalid_operation
693resx771 rescale -0.1E-999    -1003 ->  NaN Invalid_operation
694resx772 rescale -0.10E-999   -1003 ->  NaN Invalid_operation
695resx773 rescale -0.100E-999  -1003 ->  NaN Invalid_operation
696resx774 rescale -0.01E-999   -1003 ->  NaN Invalid_operation
697resx775 rescale -0.999E-999  -1003 ->  NaN Invalid_operation
698resx776 rescale -0.099E-999  -1003 ->  NaN Invalid_operation
699resx777 rescale -0.009E-999  -1003 ->  NaN Invalid_operation
700resx778 rescale -0.001E-999  -1003 ->  NaN Invalid_operation
701resx779 rescale -0.0001E-999 -1003 ->  NaN Invalid_operation
702
703precision:   9
704maxExponent: 999999999
705minexponent: -999999999
706
707-- getInt worries
708resx801 rescale   0   1000000000 -> NaN Invalid_operation
709resx802 rescale   0  -1000000000 -> 0E-1000000000
710resx803 rescale   0   2000000000 -> NaN Invalid_operation
711resx804 rescale   0  -2000000000 -> NaN Invalid_operation
712resx805 rescale   0   3000000000 -> NaN Invalid_operation
713resx806 rescale   0  -3000000000 -> NaN Invalid_operation
714resx807 rescale   0   4000000000 -> NaN Invalid_operation
715resx808 rescale   0  -4000000000 -> NaN Invalid_operation
716resx809 rescale   0   5000000000 -> NaN Invalid_operation
717resx810 rescale   0  -5000000000 -> NaN Invalid_operation
718resx811 rescale   0   6000000000 -> NaN Invalid_operation
719resx812 rescale   0  -6000000000 -> NaN Invalid_operation
720resx813 rescale   0   7000000000 -> NaN Invalid_operation
721resx814 rescale   0  -7000000000 -> NaN Invalid_operation
722resx815 rescale   0   8000000000 -> NaN Invalid_operation
723resx816 rescale   0  -8000000000 -> NaN Invalid_operation
724resx817 rescale   0   9000000000 -> NaN Invalid_operation
725resx818 rescale   0  -9000000000 -> NaN Invalid_operation
726resx819 rescale   0   9999999999 -> NaN Invalid_operation
727resx820 rescale   0  -9999999999 -> NaN Invalid_operation
728resx821 rescale   0   10000000000 -> NaN Invalid_operation
729resx822 rescale   0  -10000000000 -> NaN Invalid_operation
730
731resx831 rescale   1   0E-1       -> 1
732resx832 rescale   1   0E-2       -> 1
733resx833 rescale   1   0E-3       -> 1
734resx834 rescale   1   0E-4       -> 1
735resx835 rescale   1   0E-100     -> 1
736resx836 rescale   1   0E-100000  -> 1
737resx837 rescale   1   0E+100     -> 1
738resx838 rescale   1   0E+100000  -> 1
739
740resx841 rescale   0   5E-1000000 -> NaN Invalid_operation
741resx842 rescale   0   5E-1000000 -> NaN Invalid_operation
742resx843 rescale   0    999999999 -> 0E+999999999
743resx844 rescale   0   1000000000 -> NaN Invalid_operation
744resx845 rescale   0   -999999999 -> 0E-999999999
745resx846 rescale   0  -1000000000 -> 0E-1000000000
746resx847 rescale   0  -1000000001 -> 0E-1000000001
747resx848 rescale   0  -1000000002 -> 0E-1000000002
748resx849 rescale   0  -1000000003 -> 0E-1000000003
749resx850 rescale   0  -1000000004 -> 0E-1000000004
750resx851 rescale   0  -1000000005 -> 0E-1000000005
751resx852 rescale   0  -1000000006 -> 0E-1000000006
752resx853 rescale   0  -1000000007 -> 0E-1000000007
753resx854 rescale   0  -1000000008 -> NaN Invalid_operation
754
755resx861 rescale   1  +2147483649 -> NaN Invalid_operation
756resx862 rescale   1  +2147483648 -> NaN Invalid_operation
757resx863 rescale   1  +2147483647 -> NaN Invalid_operation
758resx864 rescale   1  -2147483647 -> NaN Invalid_operation
759resx865 rescale   1  -2147483648 -> NaN Invalid_operation
760resx866 rescale   1  -2147483649 -> NaN Invalid_operation
761
762-- Null tests
763res900 rescale 10  # -> NaN Invalid_operation
764res901 rescale  # 10 -> NaN Invalid_operation
765