blob: efbb5baf855f87b3da1a7b087f2116eaa82028be [file] [log] [blame]
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00001------------------------------------------------------------------------
2-- divide.decTest -- decimal division --
Benjamin Petersonf17ff4e2008-07-31 16:32:12 +00003-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Raymond Hettinger7c85fa42004-07-01 11:01:35 +00004------------------------------------------------------------------------
5-- Please see the document "General Decimal Arithmetic Testcases" --
6-- at http://www2.hursley.ibm.com/decimal for the description of --
7-- these testcases. --
8-- --
9-- These testcases are experimental ('beta' versions), and they --
10-- may contain errors. They are offered on an as-is basis. In --
11-- particular, achieving the same results as the tests here is not --
12-- a guarantee that an implementation complies with any Standard --
13-- or specification. The tests are not exhaustive. --
14-- --
15-- Please send comments, suggestions, and corrections to the author: --
16-- Mike Cowlishaw, IBM Fellow --
17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
18-- mfc@uk.ibm.com --
19------------------------------------------------------------------------
Mark Dickinson8a546532009-10-08 16:30:38 +000020version: 2.59
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000021
22extended: 1
23precision: 9
24rounding: half_up
25maxExponent: 384
26minexponent: -383
27
28-- sanity checks
29divx001 divide 1 1 -> 1
30divx002 divide 2 1 -> 2
31divx003 divide 1 2 -> 0.5
32divx004 divide 2 2 -> 1
33divx005 divide 0 1 -> 0
34divx006 divide 0 2 -> 0
35divx007 divide 1 3 -> 0.333333333 Inexact Rounded
36divx008 divide 2 3 -> 0.666666667 Inexact Rounded
37divx009 divide 3 3 -> 1
38
39divx010 divide 2.4 1 -> 2.4
40divx011 divide 2.4 -1 -> -2.4
41divx012 divide -2.4 1 -> -2.4
42divx013 divide -2.4 -1 -> 2.4
43divx014 divide 2.40 1 -> 2.40
44divx015 divide 2.400 1 -> 2.400
45divx016 divide 2.4 2 -> 1.2
46divx017 divide 2.400 2 -> 1.200
47divx018 divide 2. 2 -> 1
48divx019 divide 20 20 -> 1
49
Thomas Wouters1b7f8912007-09-19 03:06:30 +000050divx020 divide 187 187 -> 1
51divx021 divide 5 2 -> 2.5
52divx022 divide 50 20 -> 2.5
53divx023 divide 500 200 -> 2.5
54divx024 divide 50.0 20.0 -> 2.5
55divx025 divide 5.00 2.00 -> 2.5
56divx026 divide 5 2.0 -> 2.5
57divx027 divide 5 2.000 -> 2.5
58divx028 divide 5 0.20 -> 25
59divx029 divide 5 0.200 -> 25
60divx030 divide 10 1 -> 10
61divx031 divide 100 1 -> 100
62divx032 divide 1000 1 -> 1000
63divx033 divide 1000 100 -> 10
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000064
Thomas Wouters1b7f8912007-09-19 03:06:30 +000065divx035 divide 1 2 -> 0.5
66divx036 divide 1 4 -> 0.25
67divx037 divide 1 8 -> 0.125
68divx038 divide 1 16 -> 0.0625
69divx039 divide 1 32 -> 0.03125
70divx040 divide 1 64 -> 0.015625
71divx041 divide 1 -2 -> -0.5
72divx042 divide 1 -4 -> -0.25
73divx043 divide 1 -8 -> -0.125
74divx044 divide 1 -16 -> -0.0625
75divx045 divide 1 -32 -> -0.03125
76divx046 divide 1 -64 -> -0.015625
77divx047 divide -1 2 -> -0.5
78divx048 divide -1 4 -> -0.25
79divx049 divide -1 8 -> -0.125
80divx050 divide -1 16 -> -0.0625
81divx051 divide -1 32 -> -0.03125
82divx052 divide -1 64 -> -0.015625
83divx053 divide -1 -2 -> 0.5
84divx054 divide -1 -4 -> 0.25
85divx055 divide -1 -8 -> 0.125
86divx056 divide -1 -16 -> 0.0625
87divx057 divide -1 -32 -> 0.03125
88divx058 divide -1 -64 -> 0.015625
Raymond Hettinger7c85fa42004-07-01 11:01:35 +000089
90divx070 divide 999999999 1 -> 999999999
91divx071 divide 999999999.4 1 -> 999999999 Inexact Rounded
92divx072 divide 999999999.5 1 -> 1.00000000E+9 Inexact Rounded
93divx073 divide 999999999.9 1 -> 1.00000000E+9 Inexact Rounded
94divx074 divide 999999999.999 1 -> 1.00000000E+9 Inexact Rounded
95precision: 6
96divx080 divide 999999999 1 -> 1.00000E+9 Inexact Rounded
97divx081 divide 99999999 1 -> 1.00000E+8 Inexact Rounded
98divx082 divide 9999999 1 -> 1.00000E+7 Inexact Rounded
99divx083 divide 999999 1 -> 999999
100divx084 divide 99999 1 -> 99999
101divx085 divide 9999 1 -> 9999
102divx086 divide 999 1 -> 999
103divx087 divide 99 1 -> 99
104divx088 divide 9 1 -> 9
105
106precision: 9
107divx090 divide 0. 1 -> 0
108divx091 divide .0 1 -> 0.0
109divx092 divide 0.00 1 -> 0.00
110divx093 divide 0.00E+9 1 -> 0E+7
111divx094 divide 0.0000E-50 1 -> 0E-54
112
113divx095 divide 1 1E-8 -> 1E+8
114divx096 divide 1 1E-9 -> 1E+9
115divx097 divide 1 1E-10 -> 1E+10
116divx098 divide 1 1E-11 -> 1E+11
117divx099 divide 1 1E-12 -> 1E+12
118
119divx100 divide 1 1 -> 1
120divx101 divide 1 2 -> 0.5
121divx102 divide 1 3 -> 0.333333333 Inexact Rounded
122divx103 divide 1 4 -> 0.25
123divx104 divide 1 5 -> 0.2
124divx105 divide 1 6 -> 0.166666667 Inexact Rounded
125divx106 divide 1 7 -> 0.142857143 Inexact Rounded
126divx107 divide 1 8 -> 0.125
127divx108 divide 1 9 -> 0.111111111 Inexact Rounded
128divx109 divide 1 10 -> 0.1
129divx110 divide 1 1 -> 1
130divx111 divide 2 1 -> 2
131divx112 divide 3 1 -> 3
132divx113 divide 4 1 -> 4
133divx114 divide 5 1 -> 5
134divx115 divide 6 1 -> 6
135divx116 divide 7 1 -> 7
136divx117 divide 8 1 -> 8
137divx118 divide 9 1 -> 9
138divx119 divide 10 1 -> 10
139
140divx120 divide 3E+1 0.001 -> 3E+4
141divx121 divide 2.200 2 -> 1.100
142
143divx130 divide 12345 4.999 -> 2469.49390 Inexact Rounded
144divx131 divide 12345 4.99 -> 2473.94790 Inexact Rounded
145divx132 divide 12345 4.9 -> 2519.38776 Inexact Rounded
146divx133 divide 12345 5 -> 2469
147divx134 divide 12345 5.1 -> 2420.58824 Inexact Rounded
148divx135 divide 12345 5.01 -> 2464.07186 Inexact Rounded
149divx136 divide 12345 5.001 -> 2468.50630 Inexact Rounded
150
151precision: 9
152maxexponent: 999999999
153minexponent: -999999999
154
155-- test possibly imprecise results
156divx220 divide 391 597 -> 0.654941374 Inexact Rounded
157divx221 divide 391 -597 -> -0.654941374 Inexact Rounded
158divx222 divide -391 597 -> -0.654941374 Inexact Rounded
159divx223 divide -391 -597 -> 0.654941374 Inexact Rounded
160
161-- test some cases that are close to exponent overflow
162maxexponent: 999999999
163minexponent: -999999999
164divx270 divide 1 1e999999999 -> 1E-999999999
165divx271 divide 1 0.9e999999999 -> 1.11111111E-999999999 Inexact Rounded
166divx272 divide 1 0.99e999999999 -> 1.01010101E-999999999 Inexact Rounded
167divx273 divide 1 0.999999999e999999999 -> 1.00000000E-999999999 Inexact Rounded
168divx274 divide 9e999999999 1 -> 9E+999999999
169divx275 divide 9.9e999999999 1 -> 9.9E+999999999
170divx276 divide 9.99e999999999 1 -> 9.99E+999999999
171divx277 divide 9.99999999e999999999 1 -> 9.99999999E+999999999
172
173divx280 divide 0.1 9e-999999999 -> 1.11111111E+999999997 Inexact Rounded
174divx281 divide 0.1 99e-999999999 -> 1.01010101E+999999996 Inexact Rounded
175divx282 divide 0.1 999e-999999999 -> 1.00100100E+999999995 Inexact Rounded
176
177divx283 divide 0.1 9e-999999998 -> 1.11111111E+999999996 Inexact Rounded
178divx284 divide 0.1 99e-999999998 -> 1.01010101E+999999995 Inexact Rounded
179divx285 divide 0.1 999e-999999998 -> 1.00100100E+999999994 Inexact Rounded
180divx286 divide 0.1 999e-999999997 -> 1.00100100E+999999993 Inexact Rounded
181divx287 divide 0.1 9999e-999999997 -> 1.00010001E+999999992 Inexact Rounded
182divx288 divide 0.1 99999e-999999997 -> 1.00001000E+999999991 Inexact Rounded
183
184-- Divide into 0 tests
185
186divx301 divide 0 7 -> 0
187divx302 divide 0 7E-5 -> 0E+5
188divx303 divide 0 7E-1 -> 0E+1
189divx304 divide 0 7E+1 -> 0.0
190divx305 divide 0 7E+5 -> 0.00000
191divx306 divide 0 7E+6 -> 0.000000
192divx307 divide 0 7E+7 -> 0E-7
193divx308 divide 0 70E-5 -> 0E+5
194divx309 divide 0 70E-1 -> 0E+1
195divx310 divide 0 70E+0 -> 0
196divx311 divide 0 70E+1 -> 0.0
197divx312 divide 0 70E+5 -> 0.00000
198divx313 divide 0 70E+6 -> 0.000000
199divx314 divide 0 70E+7 -> 0E-7
200divx315 divide 0 700E-5 -> 0E+5
201divx316 divide 0 700E-1 -> 0E+1
202divx317 divide 0 700E+0 -> 0
203divx318 divide 0 700E+1 -> 0.0
204divx319 divide 0 700E+5 -> 0.00000
205divx320 divide 0 700E+6 -> 0.000000
206divx321 divide 0 700E+7 -> 0E-7
207divx322 divide 0 700E+77 -> 0E-77
208
209divx331 divide 0E-3 7E-5 -> 0E+2
210divx332 divide 0E-3 7E-1 -> 0.00
211divx333 divide 0E-3 7E+1 -> 0.0000
212divx334 divide 0E-3 7E+5 -> 0E-8
213divx335 divide 0E-1 7E-5 -> 0E+4
214divx336 divide 0E-1 7E-1 -> 0
215divx337 divide 0E-1 7E+1 -> 0.00
216divx338 divide 0E-1 7E+5 -> 0.000000
217divx339 divide 0E+1 7E-5 -> 0E+6
218divx340 divide 0E+1 7E-1 -> 0E+2
219divx341 divide 0E+1 7E+1 -> 0
220divx342 divide 0E+1 7E+5 -> 0.0000
221divx343 divide 0E+3 7E-5 -> 0E+8
222divx344 divide 0E+3 7E-1 -> 0E+4
223divx345 divide 0E+3 7E+1 -> 0E+2
224divx346 divide 0E+3 7E+5 -> 0.00
225
226maxexponent: 92
227minexponent: -92
228precision: 7
229divx351 divide 0E-92 7E-1 -> 0E-91
230divx352 divide 0E-92 7E+1 -> 0E-93
231divx353 divide 0E-92 7E+5 -> 0E-97
232divx354 divide 0E-92 7E+6 -> 0E-98
233divx355 divide 0E-92 7E+7 -> 0E-98 Clamped
234divx356 divide 0E-92 777E-1 -> 0E-91
235divx357 divide 0E-92 777E+1 -> 0E-93
236divx358 divide 0E-92 777E+3 -> 0E-95
237divx359 divide 0E-92 777E+4 -> 0E-96
238divx360 divide 0E-92 777E+5 -> 0E-97
239divx361 divide 0E-92 777E+6 -> 0E-98
240divx362 divide 0E-92 777E+7 -> 0E-98 Clamped
241divx363 divide 0E-92 7E+92 -> 0E-98 Clamped
242
243divx371 divide 0E-92 700E-1 -> 0E-91
244divx372 divide 0E-92 700E+1 -> 0E-93
245divx373 divide 0E-92 700E+3 -> 0E-95
246divx374 divide 0E-92 700E+4 -> 0E-96
247divx375 divide 0E-92 700E+5 -> 0E-97
248divx376 divide 0E-92 700E+6 -> 0E-98
249divx377 divide 0E-92 700E+7 -> 0E-98 Clamped
250
251divx381 divide 0E+92 7E+1 -> 0E+91
252divx382 divide 0E+92 7E+0 -> 0E+92
253divx383 divide 0E+92 7E-1 -> 0E+92 Clamped
254divx384 divide 0E+90 777E+1 -> 0E+89
255divx385 divide 0E+90 777E-1 -> 0E+91
256divx386 divide 0E+90 777E-2 -> 0E+92
257divx387 divide 0E+90 777E-3 -> 0E+92 Clamped
258divx388 divide 0E+90 777E-4 -> 0E+92 Clamped
259
260divx391 divide 0E+90 700E+1 -> 0E+89
261divx392 divide 0E+90 700E-1 -> 0E+91
262divx393 divide 0E+90 700E-2 -> 0E+92
263divx394 divide 0E+90 700E-3 -> 0E+92 Clamped
264divx395 divide 0E+90 700E-4 -> 0E+92 Clamped
265
266-- input rounding checks
267maxexponent: 999
268minexponent: -999
269precision: 9
270divx401 divide 12345678000 1 -> 1.23456780E+10 Rounded
271divx402 divide 1 12345678000 -> 8.10000066E-11 Inexact Rounded
272divx403 divide 1234567800 1 -> 1.23456780E+9 Rounded
273divx404 divide 1 1234567800 -> 8.10000066E-10 Inexact Rounded
274divx405 divide 1234567890 1 -> 1.23456789E+9 Rounded
275divx406 divide 1 1234567890 -> 8.10000007E-10 Inexact Rounded
276divx407 divide 1234567891 1 -> 1.23456789E+9 Inexact Rounded
277divx408 divide 1 1234567891 -> 8.10000007E-10 Inexact Rounded
278divx409 divide 12345678901 1 -> 1.23456789E+10 Inexact Rounded
279divx410 divide 1 12345678901 -> 8.10000007E-11 Inexact Rounded
280divx411 divide 1234567896 1 -> 1.23456790E+9 Inexact Rounded
281divx412 divide 1 1234567896 -> 8.10000003E-10 Inexact Rounded
282divx413 divide 1 1234567897 -> 8.10000003E-10 Inexact Rounded
283divx414 divide 1 1234567898 -> 8.10000002E-10 Inexact Rounded
284divx415 divide 1 1234567899 -> 8.10000001E-10 Inexact Rounded
285divx416 divide 1 1234567900 -> 8.10000001E-10 Inexact Rounded
286divx417 divide 1 1234567901 -> 8.10000000E-10 Inexact Rounded
287divx418 divide 1 1234567902 -> 8.09999999E-10 Inexact Rounded
288-- some longies
289divx421 divide 1234567896.000000000000 1 -> 1.23456790E+9 Inexact Rounded
290divx422 divide 1 1234567896.000000000000 -> 8.10000003E-10 Inexact Rounded
291divx423 divide 1234567896.000000000001 1 -> 1.23456790E+9 Inexact Rounded
292divx424 divide 1 1234567896.000000000001 -> 8.10000003E-10 Inexact Rounded
293divx425 divide 1234567896.000000000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded
294divx426 divide 1 1234567896.000000000000000000000000000000000000000009 -> 8.10000003E-10 Inexact Rounded
295divx427 divide 1234567897.900010000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded
296divx428 divide 1 1234567897.900010000000000000000000000000000000000009 -> 8.10000002E-10 Inexact Rounded
297
298precision: 15
299-- still checking...
300divx441 divide 12345678000 1 -> 12345678000
301divx442 divide 1 12345678000 -> 8.10000066420005E-11 Inexact Rounded
302divx443 divide 1234567800 1 -> 1234567800
303divx444 divide 1 1234567800 -> 8.10000066420005E-10 Inexact Rounded
304divx445 divide 1234567890 1 -> 1234567890
305divx446 divide 1 1234567890 -> 8.10000007371000E-10 Inexact Rounded
306divx447 divide 1234567891 1 -> 1234567891
307divx448 divide 1 1234567891 -> 8.10000006714900E-10 Inexact Rounded
308divx449 divide 12345678901 1 -> 12345678901
309divx450 divide 1 12345678901 -> 8.10000007305390E-11 Inexact Rounded
310divx451 divide 1234567896 1 -> 1234567896
311divx452 divide 1 1234567896 -> 8.10000003434400E-10 Inexact Rounded
312
313-- high-lows
314divx453 divide 1e+1 1 -> 1E+1
315divx454 divide 1e+1 1.0 -> 1E+1
316divx455 divide 1e+1 1.00 -> 1E+1
317divx456 divide 1e+2 2 -> 5E+1
318divx457 divide 1e+2 2.0 -> 5E+1
319divx458 divide 1e+2 2.00 -> 5E+1
320
321-- some from IEEE discussions
322divx460 divide 3e0 2e0 -> 1.5
323divx461 divide 30e-1 2e0 -> 1.5
324divx462 divide 300e-2 2e0 -> 1.50
325divx464 divide 3000e-3 2e0 -> 1.500
326divx465 divide 3e0 20e-1 -> 1.5
327divx466 divide 30e-1 20e-1 -> 1.5
328divx467 divide 300e-2 20e-1 -> 1.5
329divx468 divide 3000e-3 20e-1 -> 1.50
330divx469 divide 3e0 200e-2 -> 1.5
331divx470 divide 30e-1 200e-2 -> 1.5
332divx471 divide 300e-2 200e-2 -> 1.5
333divx472 divide 3000e-3 200e-2 -> 1.5
334divx473 divide 3e0 2000e-3 -> 1.5
335divx474 divide 30e-1 2000e-3 -> 1.5
336divx475 divide 300e-2 2000e-3 -> 1.5
337divx476 divide 3000e-3 2000e-3 -> 1.5
338
339-- some reciprocals
340divx480 divide 1 1.0E+33 -> 1E-33
341divx481 divide 1 10E+33 -> 1E-34
342divx482 divide 1 1.0E-33 -> 1E+33
343divx483 divide 1 10E-33 -> 1E+32
344
345-- RMS discussion table
346maxexponent: 96
347minexponent: -95
348precision: 7
349
350divx484 divide 0e5 1e3 -> 0E+2
351divx485 divide 0e5 2e3 -> 0E+2
352divx486 divide 0e5 10e2 -> 0E+3
353divx487 divide 0e5 20e2 -> 0E+3
354divx488 divide 0e5 100e1 -> 0E+4
355divx489 divide 0e5 200e1 -> 0E+4
356
357divx491 divide 1e5 1e3 -> 1E+2
358divx492 divide 1e5 2e3 -> 5E+1
359divx493 divide 1e5 10e2 -> 1E+2
360divx494 divide 1e5 20e2 -> 5E+1
361divx495 divide 1e5 100e1 -> 1E+2
362divx496 divide 1e5 200e1 -> 5E+1
363
364-- tryzeros cases
365precision: 7
366rounding: half_up
367maxExponent: 92
368minexponent: -92
369divx497 divide 0E+86 1000E-13 -> 0E+92 Clamped
370divx498 divide 0E-98 1000E+13 -> 0E-98 Clamped
371
372precision: 9
373rounding: half_up
374maxExponent: 999
375minexponent: -999
376
377-- focus on trailing zeros issues
378precision: 9
379divx500 divide 1 9.9 -> 0.101010101 Inexact Rounded
380precision: 8
381divx501 divide 1 9.9 -> 0.10101010 Inexact Rounded
382precision: 7
383divx502 divide 1 9.9 -> 0.1010101 Inexact Rounded
384precision: 6
385divx503 divide 1 9.9 -> 0.101010 Inexact Rounded
386precision: 9
387
388divx511 divide 1 2 -> 0.5
389divx512 divide 1.0 2 -> 0.5
390divx513 divide 1.00 2 -> 0.50
391divx514 divide 1.000 2 -> 0.500
392divx515 divide 1.0000 2 -> 0.5000
393divx516 divide 1.00000 2 -> 0.50000
394divx517 divide 1.000000 2 -> 0.500000
395divx518 divide 1.0000000 2 -> 0.5000000
396divx519 divide 1.00 2.00 -> 0.5
397
398divx521 divide 2 1 -> 2
399divx522 divide 2 1.0 -> 2
400divx523 divide 2 1.00 -> 2
401divx524 divide 2 1.000 -> 2
402divx525 divide 2 1.0000 -> 2
403divx526 divide 2 1.00000 -> 2
404divx527 divide 2 1.000000 -> 2
405divx528 divide 2 1.0000000 -> 2
406divx529 divide 2.00 1.00 -> 2
407
408divx530 divide 2.40 2 -> 1.20
409divx531 divide 2.40 4 -> 0.60
410divx532 divide 2.40 10 -> 0.24
411divx533 divide 2.40 2.0 -> 1.2
412divx534 divide 2.40 4.0 -> 0.6
413divx535 divide 2.40 10.0 -> 0.24
414divx536 divide 2.40 2.00 -> 1.2
415divx537 divide 2.40 4.00 -> 0.6
416divx538 divide 2.40 10.00 -> 0.24
417divx539 divide 0.9 0.1 -> 9
418divx540 divide 0.9 0.01 -> 9E+1
419divx541 divide 0.9 0.001 -> 9E+2
420divx542 divide 5 2 -> 2.5
421divx543 divide 5 2.0 -> 2.5
422divx544 divide 5 2.00 -> 2.5
423divx545 divide 5 20 -> 0.25
424divx546 divide 5 20.0 -> 0.25
425divx547 divide 2.400 2 -> 1.200
426divx548 divide 2.400 2.0 -> 1.20
427divx549 divide 2.400 2.400 -> 1
428
429divx550 divide 240 1 -> 240
430divx551 divide 240 10 -> 24
431divx552 divide 240 100 -> 2.4
432divx553 divide 240 1000 -> 0.24
433divx554 divide 2400 1 -> 2400
434divx555 divide 2400 10 -> 240
435divx556 divide 2400 100 -> 24
436divx557 divide 2400 1000 -> 2.4
437
438-- +ve exponent
439precision: 5
440divx570 divide 2.4E+6 2 -> 1.2E+6
441divx571 divide 2.40E+6 2 -> 1.20E+6
442divx572 divide 2.400E+6 2 -> 1.200E+6
443divx573 divide 2.4000E+6 2 -> 1.2000E+6
444divx574 divide 24E+5 2 -> 1.2E+6
445divx575 divide 240E+4 2 -> 1.20E+6
446divx576 divide 2400E+3 2 -> 1.200E+6
447divx577 divide 24000E+2 2 -> 1.2000E+6
448precision: 6
449divx580 divide 2.4E+6 2 -> 1.2E+6
450divx581 divide 2.40E+6 2 -> 1.20E+6
451divx582 divide 2.400E+6 2 -> 1.200E+6
452divx583 divide 2.4000E+6 2 -> 1.2000E+6
453divx584 divide 24E+5 2 -> 1.2E+6
454divx585 divide 240E+4 2 -> 1.20E+6
455divx586 divide 2400E+3 2 -> 1.200E+6
456divx587 divide 24000E+2 2 -> 1.2000E+6
457precision: 7
458divx590 divide 2.4E+6 2 -> 1.2E+6
459divx591 divide 2.40E+6 2 -> 1.20E+6
460divx592 divide 2.400E+6 2 -> 1.200E+6
461divx593 divide 2.4000E+6 2 -> 1.2000E+6
462divx594 divide 24E+5 2 -> 1.2E+6
463divx595 divide 240E+4 2 -> 1.20E+6
464divx596 divide 2400E+3 2 -> 1.200E+6
465divx597 divide 24000E+2 2 -> 1.2000E+6
466precision: 9
467divx600 divide 2.4E+9 2 -> 1.2E+9
468divx601 divide 2.40E+9 2 -> 1.20E+9
469divx602 divide 2.400E+9 2 -> 1.200E+9
470divx603 divide 2.4000E+9 2 -> 1.2000E+9
471divx604 divide 24E+8 2 -> 1.2E+9
472divx605 divide 240E+7 2 -> 1.20E+9
473divx606 divide 2400E+6 2 -> 1.200E+9
474divx607 divide 24000E+5 2 -> 1.2000E+9
475
476-- long operand triangle
477precision: 33
478divx610 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097703792 Inexact Rounded
479precision: 32
480divx611 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770379 Inexact Rounded
481precision: 31
482divx612 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977038 Inexact Rounded
483precision: 30
484divx613 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097704 Inexact Rounded
485precision: 29
486divx614 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770 Inexact Rounded
487precision: 28
488divx615 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977 Inexact Rounded
489precision: 27
490divx616 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131098 Inexact Rounded
491precision: 26
492divx617 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813110 Inexact Rounded
493precision: 25
494divx618 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81311 Inexact Rounded
495precision: 24
496divx619 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131 Inexact Rounded
497precision: 23
498divx620 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813 Inexact Rounded
499precision: 22
500divx621 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81 Inexact Rounded
501precision: 21
502divx622 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8 Inexact Rounded
503precision: 20
504divx623 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817798 Inexact Rounded
505precision: 19
506divx624 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379681780E+19 Inexact Rounded
507precision: 18
508divx625 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968178E+19 Inexact Rounded
509precision: 17
510divx626 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883796818E+19 Inexact Rounded
511precision: 16
512divx627 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379682E+19 Inexact Rounded
513precision: 15
514divx628 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968E+19 Inexact Rounded
515precision: 14
516divx629 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883797E+19 Inexact Rounded
517precision: 13
518divx630 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888380E+19 Inexact Rounded
519precision: 12
520divx631 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088838E+19 Inexact Rounded
521precision: 11
522divx632 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408884E+19 Inexact Rounded
523precision: 10
524divx633 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888E+19 Inexact Rounded
525precision: 9
526divx634 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114089E+19 Inexact Rounded
527precision: 8
528divx635 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011409E+19 Inexact Rounded
529precision: 7
530divx636 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101141E+19 Inexact Rounded
531precision: 6
532divx637 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114E+19 Inexact Rounded
533precision: 5
534divx638 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011E+19 Inexact Rounded
535precision: 4
536divx639 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101E+19 Inexact Rounded
537precision: 3
538divx640 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10E+19 Inexact Rounded
539precision: 2
540divx641 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1E+19 Inexact Rounded
541precision: 1
542divx642 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4E+19 Inexact Rounded
543
544-- more zeros, etc.
545precision: 16
546rounding: half_up
547maxExponent: 384
548minExponent: -383
549
550divx731 divide 5.00 1E-3 -> 5.00E+3
551divx732 divide 00.00 0.000 -> NaN Division_undefined
552divx733 divide 00.00 0E-3 -> NaN Division_undefined
553divx734 divide 0 -0 -> NaN Division_undefined
554divx735 divide -0 0 -> NaN Division_undefined
555divx736 divide -0 -0 -> NaN Division_undefined
556
557divx741 divide 0 -1 -> -0
558divx742 divide -0 -1 -> 0
559divx743 divide 0 1 -> 0
560divx744 divide -0 1 -> -0
561divx745 divide -1 0 -> -Infinity Division_by_zero
562divx746 divide -1 -0 -> Infinity Division_by_zero
563divx747 divide 1 0 -> Infinity Division_by_zero
564divx748 divide 1 -0 -> -Infinity Division_by_zero
565
566divx751 divide 0.0 -1 -> -0.0
567divx752 divide -0.0 -1 -> 0.0
568divx753 divide 0.0 1 -> 0.0
569divx754 divide -0.0 1 -> -0.0
570divx755 divide -1.0 0 -> -Infinity Division_by_zero
571divx756 divide -1.0 -0 -> Infinity Division_by_zero
572divx757 divide 1.0 0 -> Infinity Division_by_zero
573divx758 divide 1.0 -0 -> -Infinity Division_by_zero
574
575divx761 divide 0 -1.0 -> -0E+1
576divx762 divide -0 -1.0 -> 0E+1
577divx763 divide 0 1.0 -> 0E+1
578divx764 divide -0 1.0 -> -0E+1
579divx765 divide -1 0.0 -> -Infinity Division_by_zero
580divx766 divide -1 -0.0 -> Infinity Division_by_zero
581divx767 divide 1 0.0 -> Infinity Division_by_zero
582divx768 divide 1 -0.0 -> -Infinity Division_by_zero
583
584divx771 divide 0.0 -1.0 -> -0
585divx772 divide -0.0 -1.0 -> 0
586divx773 divide 0.0 1.0 -> 0
587divx774 divide -0.0 1.0 -> -0
588divx775 divide -1.0 0.0 -> -Infinity Division_by_zero
589divx776 divide -1.0 -0.0 -> Infinity Division_by_zero
590divx777 divide 1.0 0.0 -> Infinity Division_by_zero
591divx778 divide 1.0 -0.0 -> -Infinity Division_by_zero
592
593-- Specials
594divx780 divide Inf -Inf -> NaN Invalid_operation
595divx781 divide Inf -1000 -> -Infinity
596divx782 divide Inf -1 -> -Infinity
597divx783 divide Inf -0 -> -Infinity
598divx784 divide Inf 0 -> Infinity
599divx785 divide Inf 1 -> Infinity
600divx786 divide Inf 1000 -> Infinity
601divx787 divide Inf Inf -> NaN Invalid_operation
602divx788 divide -1000 Inf -> -0E-398 Clamped
603divx789 divide -Inf Inf -> NaN Invalid_operation
604divx790 divide -1 Inf -> -0E-398 Clamped
605divx791 divide -0 Inf -> -0E-398 Clamped
606divx792 divide 0 Inf -> 0E-398 Clamped
607divx793 divide 1 Inf -> 0E-398 Clamped
608divx794 divide 1000 Inf -> 0E-398 Clamped
609divx795 divide Inf Inf -> NaN Invalid_operation
610
611divx800 divide -Inf -Inf -> NaN Invalid_operation
612divx801 divide -Inf -1000 -> Infinity
613divx802 divide -Inf -1 -> Infinity
614divx803 divide -Inf -0 -> Infinity
615divx804 divide -Inf 0 -> -Infinity
616divx805 divide -Inf 1 -> -Infinity
617divx806 divide -Inf 1000 -> -Infinity
618divx807 divide -Inf Inf -> NaN Invalid_operation
619divx808 divide -1000 Inf -> -0E-398 Clamped
620divx809 divide -Inf -Inf -> NaN Invalid_operation
621divx810 divide -1 -Inf -> 0E-398 Clamped
622divx811 divide -0 -Inf -> 0E-398 Clamped
623divx812 divide 0 -Inf -> -0E-398 Clamped
624divx813 divide 1 -Inf -> -0E-398 Clamped
625divx814 divide 1000 -Inf -> -0E-398 Clamped
626divx815 divide Inf -Inf -> NaN Invalid_operation
627
628divx821 divide NaN -Inf -> NaN
629divx822 divide NaN -1000 -> NaN
630divx823 divide NaN -1 -> NaN
631divx824 divide NaN -0 -> NaN
632divx825 divide NaN 0 -> NaN
633divx826 divide NaN 1 -> NaN
634divx827 divide NaN 1000 -> NaN
635divx828 divide NaN Inf -> NaN
636divx829 divide NaN NaN -> NaN
637divx830 divide -Inf NaN -> NaN
638divx831 divide -1000 NaN -> NaN
639divx832 divide -1 NaN -> NaN
640divx833 divide -0 NaN -> NaN
641divx834 divide 0 NaN -> NaN
642divx835 divide 1 NaN -> NaN
643divx836 divide 1000 NaN -> NaN
644divx837 divide Inf NaN -> NaN
645
646divx841 divide sNaN -Inf -> NaN Invalid_operation
647divx842 divide sNaN -1000 -> NaN Invalid_operation
648divx843 divide sNaN -1 -> NaN Invalid_operation
649divx844 divide sNaN -0 -> NaN Invalid_operation
650divx845 divide sNaN 0 -> NaN Invalid_operation
651divx846 divide sNaN 1 -> NaN Invalid_operation
652divx847 divide sNaN 1000 -> NaN Invalid_operation
653divx848 divide sNaN NaN -> NaN Invalid_operation
654divx849 divide sNaN sNaN -> NaN Invalid_operation
655divx850 divide NaN sNaN -> NaN Invalid_operation
656divx851 divide -Inf sNaN -> NaN Invalid_operation
657divx852 divide -1000 sNaN -> NaN Invalid_operation
658divx853 divide -1 sNaN -> NaN Invalid_operation
659divx854 divide -0 sNaN -> NaN Invalid_operation
660divx855 divide 0 sNaN -> NaN Invalid_operation
661divx856 divide 1 sNaN -> NaN Invalid_operation
662divx857 divide 1000 sNaN -> NaN Invalid_operation
663divx858 divide Inf sNaN -> NaN Invalid_operation
664divx859 divide NaN sNaN -> NaN Invalid_operation
665
666-- propagating NaNs
667divx861 divide NaN9 -Inf -> NaN9
668divx862 divide NaN8 1000 -> NaN8
669divx863 divide NaN7 Inf -> NaN7
670divx864 divide NaN6 NaN5 -> NaN6
671divx865 divide -Inf NaN4 -> NaN4
672divx866 divide -1000 NaN3 -> NaN3
673divx867 divide Inf NaN2 -> NaN2
674
675divx871 divide sNaN99 -Inf -> NaN99 Invalid_operation
676divx872 divide sNaN98 -1 -> NaN98 Invalid_operation
677divx873 divide sNaN97 NaN -> NaN97 Invalid_operation
678divx874 divide sNaN96 sNaN94 -> NaN96 Invalid_operation
679divx875 divide NaN95 sNaN93 -> NaN93 Invalid_operation
680divx876 divide -Inf sNaN92 -> NaN92 Invalid_operation
681divx877 divide 0 sNaN91 -> NaN91 Invalid_operation
682divx878 divide Inf sNaN90 -> NaN90 Invalid_operation
683divx879 divide NaN sNaN89 -> NaN89 Invalid_operation
684
685divx881 divide -NaN9 -Inf -> -NaN9
686divx882 divide -NaN8 1000 -> -NaN8
687divx883 divide -NaN7 Inf -> -NaN7
688divx884 divide -NaN6 -NaN5 -> -NaN6
689divx885 divide -Inf -NaN4 -> -NaN4
690divx886 divide -1000 -NaN3 -> -NaN3
691divx887 divide Inf -NaN2 -> -NaN2
692
693divx891 divide -sNaN99 -Inf -> -NaN99 Invalid_operation
694divx892 divide -sNaN98 -1 -> -NaN98 Invalid_operation
695divx893 divide -sNaN97 NaN -> -NaN97 Invalid_operation
696divx894 divide -sNaN96 -sNaN94 -> -NaN96 Invalid_operation
697divx895 divide -NaN95 -sNaN93 -> -NaN93 Invalid_operation
698divx896 divide -Inf -sNaN92 -> -NaN92 Invalid_operation
699divx897 divide 0 -sNaN91 -> -NaN91 Invalid_operation
700divx898 divide Inf -sNaN90 -> -NaN90 Invalid_operation
701divx899 divide -NaN -sNaN89 -> -NaN89 Invalid_operation
702
703maxexponent: 999999999
704minexponent: -999999999
705
706-- Various flavours of divide by 0
707divx901 divide 0 0 -> NaN Division_undefined
708divx902 divide 0.0E5 0 -> NaN Division_undefined
709divx903 divide 0.000 0 -> NaN Division_undefined
710divx904 divide 0.0001 0 -> Infinity Division_by_zero
711divx905 divide 0.01 0 -> Infinity Division_by_zero
712divx906 divide 0.1 0 -> Infinity Division_by_zero
713divx907 divide 1 0 -> Infinity Division_by_zero
714divx908 divide 1 0.0 -> Infinity Division_by_zero
715divx909 divide 10 0.0 -> Infinity Division_by_zero
716divx910 divide 1E+100 0.0 -> Infinity Division_by_zero
717divx911 divide 1E+1000 0 -> Infinity Division_by_zero
718
719divx921 divide -0.0001 0 -> -Infinity Division_by_zero
720divx922 divide -0.01 0 -> -Infinity Division_by_zero
721divx923 divide -0.1 0 -> -Infinity Division_by_zero
722divx924 divide -1 0 -> -Infinity Division_by_zero
723divx925 divide -1 0.0 -> -Infinity Division_by_zero
724divx926 divide -10 0.0 -> -Infinity Division_by_zero
725divx927 divide -1E+100 0.0 -> -Infinity Division_by_zero
726divx928 divide -1E+1000 0 -> -Infinity Division_by_zero
727
728divx931 divide 0.0001 -0 -> -Infinity Division_by_zero
729divx932 divide 0.01 -0 -> -Infinity Division_by_zero
730divx933 divide 0.1 -0 -> -Infinity Division_by_zero
731divx934 divide 1 -0 -> -Infinity Division_by_zero
732divx935 divide 1 -0.0 -> -Infinity Division_by_zero
733divx936 divide 10 -0.0 -> -Infinity Division_by_zero
734divx937 divide 1E+100 -0.0 -> -Infinity Division_by_zero
735divx938 divide 1E+1000 -0 -> -Infinity Division_by_zero
736
737divx941 divide -0.0001 -0 -> Infinity Division_by_zero
738divx942 divide -0.01 -0 -> Infinity Division_by_zero
739divx943 divide -0.1 -0 -> Infinity Division_by_zero
740divx944 divide -1 -0 -> Infinity Division_by_zero
741divx945 divide -1 -0.0 -> Infinity Division_by_zero
742divx946 divide -10 -0.0 -> Infinity Division_by_zero
743divx947 divide -1E+100 -0.0 -> Infinity Division_by_zero
744divx948 divide -1E+1000 -0 -> Infinity Division_by_zero
745
746-- overflow and underflow tests
747precision: 9
748maxexponent: 999999999
749minexponent: -999999999
750divx951 divide 9E+999999999 +0.23456789012345E-0 -> Infinity Inexact Overflow Rounded
751divx952 divide +0.100 9E+999999999 -> 1.111111E-1000000001 Inexact Rounded Underflow Subnormal
752divx953 divide 9E-999999999 +9.100 -> 9.8901099E-1000000000 Inexact Rounded Underflow Subnormal
753divx954 divide -1.23456789 9E+999999999 -> -1.3717421E-1000000000 Subnormal
754divx955 divide -1.23456789012345E-0 9E+999999999 -> -1.3717421E-1000000000 Underflow Subnormal Rounded Inexact
755divx956 divide -1.23456789012345E-0 7E+999999999 -> -1.7636684E-1000000000 Inexact Rounded Underflow Subnormal
756divx957 divide 9E+999999999 -0.83456789012345E-0 -> -Infinity Inexact Overflow Rounded
757divx958 divide -0.100 9E+999999999 -> -1.111111E-1000000001 Subnormal Inexact Rounded Underflow
758divx959 divide 9E-999999999 -9.100 -> -9.8901099E-1000000000 Inexact Rounded Underflow Subnormal
759
760-- overflow and underflow (additional edge tests in multiply.decTest)
761-- 'subnormal' results now possible (all hard underflow or overflow in
762-- base arithemtic)
763divx960 divide 1e-600000000 1e+400000001 -> 1E-1000000001 Subnormal
764divx961 divide 1e-600000000 1e+400000002 -> 1E-1000000002 Subnormal
765divx962 divide 1e-600000000 1e+400000003 -> 1E-1000000003 Subnormal
766divx963 divide 1e-600000000 1e+400000004 -> 1E-1000000004 Subnormal
767divx964 divide 1e-600000000 1e+400000005 -> 1E-1000000005 Subnormal
768divx965 divide 1e-600000000 1e+400000006 -> 1E-1000000006 Subnormal
769divx966 divide 1e-600000000 1e+400000007 -> 1E-1000000007 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000770divx967 divide 1e-600000000 1e+400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
771divx968 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
772divx969 divide 1e-600000000 1e+400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000773-- [no equivalent of 'subnormal' for overflow]
774divx970 divide 1e+600000000 1e-400000001 -> Infinity Overflow Inexact Rounded
775divx971 divide 1e+600000000 1e-400000002 -> Infinity Overflow Inexact Rounded
776divx972 divide 1e+600000000 1e-400000003 -> Infinity Overflow Inexact Rounded
777divx973 divide 1e+600000000 1e-400000004 -> Infinity Overflow Inexact Rounded
778divx974 divide 1e+600000000 1e-400000005 -> Infinity Overflow Inexact Rounded
779divx975 divide 1e+600000000 1e-400000006 -> Infinity Overflow Inexact Rounded
780divx976 divide 1e+600000000 1e-400000007 -> Infinity Overflow Inexact Rounded
781divx977 divide 1e+600000000 1e-400000008 -> Infinity Overflow Inexact Rounded
782divx978 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded
783divx979 divide 1e+600000000 1e-400000010 -> Infinity Overflow Inexact Rounded
784
785-- Sign after overflow and underflow
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000786divx980 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
787divx981 divide 1e-600000000 -1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
788divx982 divide -1e-600000000 1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
789divx983 divide -1e-600000000 -1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000790divx984 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded
791divx985 divide 1e+600000000 -1e-400000009 -> -Infinity Overflow Inexact Rounded
792divx986 divide -1e+600000000 1e-400000009 -> -Infinity Overflow Inexact Rounded
793divx987 divide -1e+600000000 -1e-400000009 -> Infinity Overflow Inexact Rounded
794
795-- Long operand overflow may be a different path
796precision: 3
797divx990 divide 1000 9.999E-999999999 -> Infinity Inexact Overflow Rounded
798divx991 divide 1000 -9.999E-999999999 -> -Infinity Inexact Overflow Rounded
799divx992 divide 9.999E+999999999 0.01 -> Infinity Inexact Overflow Rounded
800divx993 divide -9.999E+999999999 0.01 -> -Infinity Inexact Overflow Rounded
801
802-- check for double-rounded subnormals
803precision: 5
804maxexponent: 79
805minexponent: -79
806divx1001 divide 1.52444E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow
807divx1002 divide 1.52445E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow
808divx1003 divide 1.52446E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow
809
810-- a rounding problem in one implementation
811precision: 34
812rounding: half_up
813maxExponent: 6144
814minExponent: -6143
815-- Unbounded answer to 40 digits:
816-- 1.465811965811965811965811965811965811966E+7000
817divx1010 divide 343E6000 234E-1000 -> Infinity Overflow Inexact Rounded
818
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000819precision: 34
820rounding: half_up
821maxExponent: 6144
822minExponent: -6143
823
824-- Examples from SQL proposal (Krishna Kulkarni)
825precision: 7
826divx1021 divide 1E0 1E0 -> 1
827divx1022 divide 1E0 2E0 -> 0.5
828divx1023 divide 1E0 3E0 -> 0.3333333 Inexact Rounded
829divx1024 divide 100E-2 1000E-3 -> 1
830divx1025 divide 24E-1 2E0 -> 1.2
831divx1026 divide 2400E-3 2E0 -> 1.200
832divx1027 divide 5E0 2E0 -> 2.5
833divx1028 divide 5E0 20E-1 -> 2.5
834divx1029 divide 5E0 2000E-3 -> 2.5
835divx1030 divide 5E0 2E-1 -> 25
836divx1031 divide 5E0 20E-2 -> 25
837divx1032 divide 480E-2 3E0 -> 1.60
838divx1033 divide 47E-1 2E0 -> 2.35
839
840-- ECMAScript bad examples
841rounding: half_down
842precision: 7
843divx1050 divide 5 9 -> 0.5555556 Inexact Rounded
844rounding: half_even
845divx1051 divide 5 11 -> 0.4545455 Inexact Rounded
846
847-- payload decapitate
848precision: 5
849divx1055 divide sNaN987654321 1 -> NaN54321 Invalid_operation
850
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000851-- Null tests
852divx9998 divide 10 # -> NaN Invalid_operation
853divx9999 divide # 10 -> NaN Invalid_operation
854