source: python/trunk/Lib/test/decimaltestdata/dqRemainder.decTest

Last change on this file was 2, checked in by Yuri Dario, 15 years ago

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1------------------------------------------------------------------------
2-- dqRemainder.decTest -- decQuad remainder --
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
22extended: 1
23clamp: 1
24precision: 34
25maxExponent: 6144
26minExponent: -6143
27rounding: half_even
28
29-- sanity checks (as base, above)
30dqrem001 remainder 1 1 -> 0
31dqrem002 remainder 2 1 -> 0
32dqrem003 remainder 1 2 -> 1
33dqrem004 remainder 2 2 -> 0
34dqrem005 remainder 0 1 -> 0
35dqrem006 remainder 0 2 -> 0
36dqrem007 remainder 1 3 -> 1
37dqrem008 remainder 2 3 -> 2
38dqrem009 remainder 3 3 -> 0
39
40dqrem010 remainder 2.4 1 -> 0.4
41dqrem011 remainder 2.4 -1 -> 0.4
42dqrem012 remainder -2.4 1 -> -0.4
43dqrem013 remainder -2.4 -1 -> -0.4
44dqrem014 remainder 2.40 1 -> 0.40
45dqrem015 remainder 2.400 1 -> 0.400
46dqrem016 remainder 2.4 2 -> 0.4
47dqrem017 remainder 2.400 2 -> 0.400
48dqrem018 remainder 2. 2 -> 0
49dqrem019 remainder 20 20 -> 0
50
51dqrem020 remainder 187 187 -> 0
52dqrem021 remainder 5 2 -> 1
53dqrem022 remainder 5 2.0 -> 1.0
54dqrem023 remainder 5 2.000 -> 1.000
55dqrem024 remainder 5 0.200 -> 0.000
56dqrem025 remainder 5 0.200 -> 0.000
57
58dqrem030 remainder 1 2 -> 1
59dqrem031 remainder 1 4 -> 1
60dqrem032 remainder 1 8 -> 1
61
62dqrem033 remainder 1 16 -> 1
63dqrem034 remainder 1 32 -> 1
64dqrem035 remainder 1 64 -> 1
65dqrem040 remainder 1 -2 -> 1
66dqrem041 remainder 1 -4 -> 1
67dqrem042 remainder 1 -8 -> 1
68dqrem043 remainder 1 -16 -> 1
69dqrem044 remainder 1 -32 -> 1
70dqrem045 remainder 1 -64 -> 1
71dqrem050 remainder -1 2 -> -1
72dqrem051 remainder -1 4 -> -1
73dqrem052 remainder -1 8 -> -1
74dqrem053 remainder -1 16 -> -1
75dqrem054 remainder -1 32 -> -1
76dqrem055 remainder -1 64 -> -1
77dqrem060 remainder -1 -2 -> -1
78dqrem061 remainder -1 -4 -> -1
79dqrem062 remainder -1 -8 -> -1
80dqrem063 remainder -1 -16 -> -1
81dqrem064 remainder -1 -32 -> -1
82dqrem065 remainder -1 -64 -> -1
83
84dqrem066 remainder 999999999 1 -> 0
85dqrem067 remainder 999999999.4 1 -> 0.4
86dqrem068 remainder 999999999.5 1 -> 0.5
87dqrem069 remainder 999999999.9 1 -> 0.9
88dqrem070 remainder 999999999.999 1 -> 0.999
89dqrem071 remainder 999999.999999 1 -> 0.999999
90dqrem072 remainder 9 1 -> 0
91
92dqrem080 remainder 0. 1 -> 0
93dqrem081 remainder .0 1 -> 0.0
94dqrem082 remainder 0.00 1 -> 0.00
95dqrem083 remainder 0.00E+9 1 -> 0
96dqrem084 remainder 0.00E+3 1 -> 0
97dqrem085 remainder 0.00E+2 1 -> 0
98dqrem086 remainder 0.00E+1 1 -> 0.0
99dqrem087 remainder 0.00E+0 1 -> 0.00
100dqrem088 remainder 0.00E-0 1 -> 0.00
101dqrem089 remainder 0.00E-1 1 -> 0.000
102dqrem090 remainder 0.00E-2 1 -> 0.0000
103dqrem091 remainder 0.00E-3 1 -> 0.00000
104dqrem092 remainder 0.00E-4 1 -> 0.000000
105dqrem093 remainder 0.00E-5 1 -> 0E-7
106dqrem094 remainder 0.00E-6 1 -> 0E-8
107dqrem095 remainder 0.0000E-50 1 -> 0E-54
108
109-- Various flavours of remainder by 0
110dqrem101 remainder 0 0 -> NaN Division_undefined
111dqrem102 remainder 0 -0 -> NaN Division_undefined
112dqrem103 remainder -0 0 -> NaN Division_undefined
113dqrem104 remainder -0 -0 -> NaN Division_undefined
114dqrem105 remainder 0.0E5 0 -> NaN Division_undefined
115dqrem106 remainder 0.000 0 -> NaN Division_undefined
116-- [Some think this next group should be Division_by_zero exception, but
117-- IEEE 854 is explicit that it is Invalid operation .. for
118-- remainder-near, anyway]
119dqrem107 remainder 0.0001 0 -> NaN Invalid_operation
120dqrem108 remainder 0.01 0 -> NaN Invalid_operation
121dqrem109 remainder 0.1 0 -> NaN Invalid_operation
122dqrem110 remainder 1 0 -> NaN Invalid_operation
123dqrem111 remainder 1 0.0 -> NaN Invalid_operation
124dqrem112 remainder 10 0.0 -> NaN Invalid_operation
125dqrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
126dqrem114 remainder 1E+380 0 -> NaN Invalid_operation
127dqrem115 remainder 0.0001 -0 -> NaN Invalid_operation
128dqrem116 remainder 0.01 -0 -> NaN Invalid_operation
129dqrem119 remainder 0.1 -0 -> NaN Invalid_operation
130dqrem120 remainder 1 -0 -> NaN Invalid_operation
131dqrem121 remainder 1 -0.0 -> NaN Invalid_operation
132dqrem122 remainder 10 -0.0 -> NaN Invalid_operation
133dqrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
134dqrem124 remainder 1E+384 -0 -> NaN Invalid_operation
135-- and zeros on left
136dqrem130 remainder 0 1 -> 0
137dqrem131 remainder 0 -1 -> 0
138dqrem132 remainder 0.0 1 -> 0.0
139dqrem133 remainder 0.0 -1 -> 0.0
140dqrem134 remainder -0 1 -> -0
141dqrem135 remainder -0 -1 -> -0
142dqrem136 remainder -0.0 1 -> -0.0
143dqrem137 remainder -0.0 -1 -> -0.0
144
145-- 0.5ers
146dqrem143 remainder 0.5 2 -> 0.5
147dqrem144 remainder 0.5 2.1 -> 0.5
148dqrem145 remainder 0.5 2.01 -> 0.50
149dqrem146 remainder 0.5 2.001 -> 0.500
150dqrem147 remainder 0.50 2 -> 0.50
151dqrem148 remainder 0.50 2.01 -> 0.50
152dqrem149 remainder 0.50 2.001 -> 0.500
153
154-- steadies
155dqrem150 remainder 1 1 -> 0
156dqrem151 remainder 1 2 -> 1
157dqrem152 remainder 1 3 -> 1
158dqrem153 remainder 1 4 -> 1
159dqrem154 remainder 1 5 -> 1
160dqrem155 remainder 1 6 -> 1
161dqrem156 remainder 1 7 -> 1
162dqrem157 remainder 1 8 -> 1
163dqrem158 remainder 1 9 -> 1
164dqrem159 remainder 1 10 -> 1
165dqrem160 remainder 1 1 -> 0
166dqrem161 remainder 2 1 -> 0
167dqrem162 remainder 3 1 -> 0
168dqrem163 remainder 4 1 -> 0
169dqrem164 remainder 5 1 -> 0
170dqrem165 remainder 6 1 -> 0
171dqrem166 remainder 7 1 -> 0
172dqrem167 remainder 8 1 -> 0
173dqrem168 remainder 9 1 -> 0
174dqrem169 remainder 10 1 -> 0
175
176-- some differences from remainderNear
177dqrem171 remainder 0.4 1.020 -> 0.400
178dqrem172 remainder 0.50 1.020 -> 0.500
179dqrem173 remainder 0.51 1.020 -> 0.510
180dqrem174 remainder 0.52 1.020 -> 0.520
181dqrem175 remainder 0.6 1.020 -> 0.600
182
183-- More flavours of remainder by 0
184dqrem201 remainder 0 0 -> NaN Division_undefined
185dqrem202 remainder 0.0E5 0 -> NaN Division_undefined
186dqrem203 remainder 0.000 0 -> NaN Division_undefined
187dqrem204 remainder 0.0001 0 -> NaN Invalid_operation
188dqrem205 remainder 0.01 0 -> NaN Invalid_operation
189dqrem206 remainder 0.1 0 -> NaN Invalid_operation
190dqrem207 remainder 1 0 -> NaN Invalid_operation
191dqrem208 remainder 1 0.0 -> NaN Invalid_operation
192dqrem209 remainder 10 0.0 -> NaN Invalid_operation
193dqrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
194dqrem211 remainder 1E+380 0 -> NaN Invalid_operation
195
196-- some differences from remainderNear
197dqrem231 remainder -0.4 1.020 -> -0.400
198dqrem232 remainder -0.50 1.020 -> -0.500
199dqrem233 remainder -0.51 1.020 -> -0.510
200dqrem234 remainder -0.52 1.020 -> -0.520
201dqrem235 remainder -0.6 1.020 -> -0.600
202
203-- high Xs
204dqrem240 remainder 1E+2 1.00 -> 0.00
205
206-- dqrem3xx are from DiagBigDecimal
207dqrem301 remainder 1 3 -> 1
208dqrem302 remainder 5 5 -> 0
209dqrem303 remainder 13 10 -> 3
210dqrem304 remainder 13 50 -> 13
211dqrem305 remainder 13 100 -> 13
212dqrem306 remainder 13 1000 -> 13
213dqrem307 remainder .13 1 -> 0.13
214dqrem308 remainder 0.133 1 -> 0.133
215dqrem309 remainder 0.1033 1 -> 0.1033
216dqrem310 remainder 1.033 1 -> 0.033
217dqrem311 remainder 10.33 1 -> 0.33
218dqrem312 remainder 10.33 10 -> 0.33
219dqrem313 remainder 103.3 1 -> 0.3
220dqrem314 remainder 133 10 -> 3
221dqrem315 remainder 1033 10 -> 3
222dqrem316 remainder 1033 50 -> 33
223dqrem317 remainder 101.0 3 -> 2.0
224dqrem318 remainder 102.0 3 -> 0.0
225dqrem319 remainder 103.0 3 -> 1.0
226dqrem320 remainder 2.40 1 -> 0.40
227dqrem321 remainder 2.400 1 -> 0.400
228dqrem322 remainder 2.4 1 -> 0.4
229dqrem323 remainder 2.4 2 -> 0.4
230dqrem324 remainder 2.400 2 -> 0.400
231dqrem325 remainder 1 0.3 -> 0.1
232dqrem326 remainder 1 0.30 -> 0.10
233dqrem327 remainder 1 0.300 -> 0.100
234dqrem328 remainder 1 0.3000 -> 0.1000
235dqrem329 remainder 1.0 0.3 -> 0.1
236dqrem330 remainder 1.00 0.3 -> 0.10
237dqrem331 remainder 1.000 0.3 -> 0.100
238dqrem332 remainder 1.0000 0.3 -> 0.1000
239dqrem333 remainder 0.5 2 -> 0.5
240dqrem334 remainder 0.5 2.1 -> 0.5
241dqrem335 remainder 0.5 2.01 -> 0.50
242dqrem336 remainder 0.5 2.001 -> 0.500
243dqrem337 remainder 0.50 2 -> 0.50
244dqrem338 remainder 0.50 2.01 -> 0.50
245dqrem339 remainder 0.50 2.001 -> 0.500
246
247dqrem340 remainder 0.5 0.5000001 -> 0.5000000
248dqrem341 remainder 0.5 0.50000001 -> 0.50000000
249dqrem342 remainder 0.5 0.500000001 -> 0.500000000
250dqrem343 remainder 0.5 0.5000000001 -> 0.5000000000
251dqrem344 remainder 0.5 0.50000000001 -> 0.50000000000
252dqrem345 remainder 0.5 0.4999999 -> 1E-7
253dqrem346 remainder 0.5 0.49999999 -> 1E-8
254dqrem347 remainder 0.5 0.499999999 -> 1E-9
255dqrem348 remainder 0.5 0.4999999999 -> 1E-10
256dqrem349 remainder 0.5 0.49999999999 -> 1E-11
257dqrem350 remainder 0.5 0.499999999999 -> 1E-12
258
259dqrem351 remainder 0.03 7 -> 0.03
260dqrem352 remainder 5 2 -> 1
261dqrem353 remainder 4.1 2 -> 0.1
262dqrem354 remainder 4.01 2 -> 0.01
263dqrem355 remainder 4.001 2 -> 0.001
264dqrem356 remainder 4.0001 2 -> 0.0001
265dqrem357 remainder 4.00001 2 -> 0.00001
266dqrem358 remainder 4.000001 2 -> 0.000001
267dqrem359 remainder 4.0000001 2 -> 1E-7
268
269dqrem360 remainder 1.2 0.7345 -> 0.4655
270dqrem361 remainder 0.8 12 -> 0.8
271dqrem362 remainder 0.8 0.2 -> 0.0
272dqrem363 remainder 0.8 0.3 -> 0.2
273dqrem364 remainder 0.800 12 -> 0.800
274dqrem365 remainder 0.800 1.7 -> 0.800
275dqrem366 remainder 2.400 2 -> 0.400
276
277dqrem371 remainder 2.400 2 -> 0.400
278
279dqrem381 remainder 12345 1 -> 0
280dqrem382 remainder 12345 1.0001 -> 0.7657
281dqrem383 remainder 12345 1.001 -> 0.668
282dqrem384 remainder 12345 1.01 -> 0.78
283dqrem385 remainder 12345 1.1 -> 0.8
284dqrem386 remainder 12355 4 -> 3
285dqrem387 remainder 12345 4 -> 1
286dqrem388 remainder 12355 4.0001 -> 2.6912
287dqrem389 remainder 12345 4.0001 -> 0.6914
288dqrem390 remainder 12345 4.9 -> 1.9
289dqrem391 remainder 12345 4.99 -> 4.73
290dqrem392 remainder 12345 4.999 -> 2.469
291dqrem393 remainder 12345 4.9999 -> 0.2469
292dqrem394 remainder 12345 5 -> 0
293dqrem395 remainder 12345 5.0001 -> 4.7532
294dqrem396 remainder 12345 5.001 -> 2.532
295dqrem397 remainder 12345 5.01 -> 0.36
296dqrem398 remainder 12345 5.1 -> 3.0
297
298-- the nasty division-by-1 cases
299dqrem401 remainder 0.5 1 -> 0.5
300dqrem402 remainder 0.55 1 -> 0.55
301dqrem403 remainder 0.555 1 -> 0.555
302dqrem404 remainder 0.5555 1 -> 0.5555
303dqrem405 remainder 0.55555 1 -> 0.55555
304dqrem406 remainder 0.555555 1 -> 0.555555
305dqrem407 remainder 0.5555555 1 -> 0.5555555
306dqrem408 remainder 0.55555555 1 -> 0.55555555
307dqrem409 remainder 0.555555555 1 -> 0.555555555
308
309-- folddowns
310dqrem421 remainder 1E+6144 1 -> NaN Division_impossible
311dqrem422 remainder 1E+6144 1E+6143 -> 0E+6111 Clamped
312dqrem423 remainder 1E+6144 2E+6143 -> 0E+6111 Clamped
313dqrem424 remainder 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
314dqrem425 remainder 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
315dqrem426 remainder 1E+6144 5E+6143 -> 0E+6111 Clamped
316dqrem427 remainder 1E+6144 6E+6143 -> 4.00000000000000000000000000000000E+6143 Clamped
317dqrem428 remainder 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped
318dqrem429 remainder 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
319dqrem430 remainder 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
320-- tinies
321dqrem431 remainder 1E-6175 1E-6176 -> 0E-6176
322dqrem432 remainder 1E-6175 2E-6176 -> 0E-6176
323dqrem433 remainder 1E-6175 3E-6176 -> 1E-6176 Subnormal
324dqrem434 remainder 1E-6175 4E-6176 -> 2E-6176 Subnormal
325dqrem435 remainder 1E-6175 5E-6176 -> 0E-6176
326dqrem436 remainder 1E-6175 6E-6176 -> 4E-6176 Subnormal
327dqrem437 remainder 1E-6175 7E-6176 -> 3E-6176 Subnormal
328dqrem438 remainder 1E-6175 8E-6176 -> 2E-6176 Subnormal
329dqrem439 remainder 1E-6175 9E-6176 -> 1E-6176 Subnormal
330dqrem440 remainder 1E-6175 10E-6176 -> 0E-6176
331dqrem441 remainder 1E-6175 11E-6176 -> 1.0E-6175 Subnormal
332dqrem442 remainder 100E-6175 11E-6176 -> 1.0E-6175 Subnormal
333dqrem443 remainder 100E-6175 20E-6176 -> 0E-6176
334dqrem444 remainder 100E-6175 21E-6176 -> 1.3E-6175 Subnormal
335dqrem445 remainder 100E-6175 30E-6176 -> 1.0E-6175 Subnormal
336
337-- zero signs
338dqrem650 remainder 1 1 -> 0
339dqrem651 remainder -1 1 -> -0
340dqrem652 remainder 1 -1 -> 0
341dqrem653 remainder -1 -1 -> -0
342dqrem654 remainder 0 1 -> 0
343dqrem655 remainder -0 1 -> -0
344dqrem656 remainder 0 -1 -> 0
345dqrem657 remainder -0 -1 -> -0
346dqrem658 remainder 0.00 1 -> 0.00
347dqrem659 remainder -0.00 1 -> -0.00
348
349-- Specials
350dqrem680 remainder Inf -Inf -> NaN Invalid_operation
351dqrem681 remainder Inf -1000 -> NaN Invalid_operation
352dqrem682 remainder Inf -1 -> NaN Invalid_operation
353dqrem683 remainder Inf 0 -> NaN Invalid_operation
354dqrem684 remainder Inf -0 -> NaN Invalid_operation
355dqrem685 remainder Inf 1 -> NaN Invalid_operation
356dqrem686 remainder Inf 1000 -> NaN Invalid_operation
357dqrem687 remainder Inf Inf -> NaN Invalid_operation
358dqrem688 remainder -1000 Inf -> -1000
359dqrem689 remainder -Inf Inf -> NaN Invalid_operation
360dqrem691 remainder -1 Inf -> -1
361dqrem692 remainder 0 Inf -> 0
362dqrem693 remainder -0 Inf -> -0
363dqrem694 remainder 1 Inf -> 1
364dqrem695 remainder 1000 Inf -> 1000
365dqrem696 remainder Inf Inf -> NaN Invalid_operation
366
367dqrem700 remainder -Inf -Inf -> NaN Invalid_operation
368dqrem701 remainder -Inf -1000 -> NaN Invalid_operation
369dqrem702 remainder -Inf -1 -> NaN Invalid_operation
370dqrem703 remainder -Inf -0 -> NaN Invalid_operation
371dqrem704 remainder -Inf 0 -> NaN Invalid_operation
372dqrem705 remainder -Inf 1 -> NaN Invalid_operation
373dqrem706 remainder -Inf 1000 -> NaN Invalid_operation
374dqrem707 remainder -Inf Inf -> NaN Invalid_operation
375dqrem708 remainder -Inf -Inf -> NaN Invalid_operation
376dqrem709 remainder -1000 Inf -> -1000
377dqrem710 remainder -1 -Inf -> -1
378dqrem711 remainder -0 -Inf -> -0
379dqrem712 remainder 0 -Inf -> 0
380dqrem713 remainder 1 -Inf -> 1
381dqrem714 remainder 1000 -Inf -> 1000
382dqrem715 remainder Inf -Inf -> NaN Invalid_operation
383
384dqrem721 remainder NaN -Inf -> NaN
385dqrem722 remainder NaN -1000 -> NaN
386dqrem723 remainder NaN -1 -> NaN
387dqrem724 remainder NaN -0 -> NaN
388dqrem725 remainder -NaN 0 -> -NaN
389dqrem726 remainder NaN 1 -> NaN
390dqrem727 remainder NaN 1000 -> NaN
391dqrem728 remainder NaN Inf -> NaN
392dqrem729 remainder NaN -NaN -> NaN
393dqrem730 remainder -Inf NaN -> NaN
394dqrem731 remainder -1000 NaN -> NaN
395dqrem732 remainder -1 NaN -> NaN
396dqrem733 remainder -0 -NaN -> -NaN
397dqrem734 remainder 0 NaN -> NaN
398dqrem735 remainder 1 -NaN -> -NaN
399dqrem736 remainder 1000 NaN -> NaN
400dqrem737 remainder Inf NaN -> NaN
401
402dqrem741 remainder sNaN -Inf -> NaN Invalid_operation
403dqrem742 remainder sNaN -1000 -> NaN Invalid_operation
404dqrem743 remainder -sNaN -1 -> -NaN Invalid_operation
405dqrem744 remainder sNaN -0 -> NaN Invalid_operation
406dqrem745 remainder sNaN 0 -> NaN Invalid_operation
407dqrem746 remainder sNaN 1 -> NaN Invalid_operation
408dqrem747 remainder sNaN 1000 -> NaN Invalid_operation
409dqrem749 remainder sNaN NaN -> NaN Invalid_operation
410dqrem750 remainder sNaN sNaN -> NaN Invalid_operation
411dqrem751 remainder NaN sNaN -> NaN Invalid_operation
412dqrem752 remainder -Inf sNaN -> NaN Invalid_operation
413dqrem753 remainder -1000 sNaN -> NaN Invalid_operation
414dqrem754 remainder -1 sNaN -> NaN Invalid_operation
415dqrem755 remainder -0 sNaN -> NaN Invalid_operation
416dqrem756 remainder 0 sNaN -> NaN Invalid_operation
417dqrem757 remainder 1 sNaN -> NaN Invalid_operation
418dqrem758 remainder 1000 sNaN -> NaN Invalid_operation
419dqrem759 remainder Inf -sNaN -> -NaN Invalid_operation
420
421-- propaging NaNs
422dqrem760 remainder NaN1 NaN7 -> NaN1
423dqrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
424dqrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
425dqrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
426dqrem764 remainder 15 NaN11 -> NaN11
427dqrem765 remainder NaN6 NaN12 -> NaN6
428dqrem766 remainder Inf NaN13 -> NaN13
429dqrem767 remainder NaN14 -Inf -> NaN14
430dqrem768 remainder 0 NaN15 -> NaN15
431dqrem769 remainder NaN16 -0 -> NaN16
432
433-- edge cases of impossible
434dqrem770 remainder 1234568888888887777777777890123456 10 -> 6
435dqrem771 remainder 1234568888888887777777777890123456 1 -> 0
436dqrem772 remainder 1234568888888887777777777890123456 0.1 -> NaN Division_impossible
437dqrem773 remainder 1234568888888887777777777890123456 0.01 -> NaN Division_impossible
438
439-- long operand checks
440dqrem801 remainder 12345678000 100 -> 0
441dqrem802 remainder 1 12345678000 -> 1
442dqrem803 remainder 1234567800 10 -> 0
443dqrem804 remainder 1 1234567800 -> 1
444dqrem805 remainder 1234567890 10 -> 0
445dqrem806 remainder 1 1234567890 -> 1
446dqrem807 remainder 1234567891 10 -> 1
447dqrem808 remainder 1 1234567891 -> 1
448dqrem809 remainder 12345678901 100 -> 1
449dqrem810 remainder 1 12345678901 -> 1
450dqrem811 remainder 1234567896 10 -> 6
451dqrem812 remainder 1 1234567896 -> 1
452
453dqrem821 remainder 12345678000 100 -> 0
454dqrem822 remainder 1 12345678000 -> 1
455dqrem823 remainder 1234567800 10 -> 0
456dqrem824 remainder 1 1234567800 -> 1
457dqrem825 remainder 1234567890 10 -> 0
458dqrem826 remainder 1 1234567890 -> 1
459dqrem827 remainder 1234567891 10 -> 1
460dqrem828 remainder 1 1234567891 -> 1
461dqrem829 remainder 12345678901 100 -> 1
462dqrem830 remainder 1 12345678901 -> 1
463dqrem831 remainder 1234567896 10 -> 6
464dqrem832 remainder 1 1234567896 -> 1
465
466-- from divideint
467dqrem840 remainder 100000000.0 1 -> 0.0
468dqrem841 remainder 100000000.4 1 -> 0.4
469dqrem842 remainder 100000000.5 1 -> 0.5
470dqrem843 remainder 100000000.9 1 -> 0.9
471dqrem844 remainder 100000000.999 1 -> 0.999
472dqrem850 remainder 100000003 5 -> 3
473dqrem851 remainder 10000003 5 -> 3
474dqrem852 remainder 1000003 5 -> 3
475dqrem853 remainder 100003 5 -> 3
476dqrem854 remainder 10003 5 -> 3
477dqrem855 remainder 1003 5 -> 3
478dqrem856 remainder 103 5 -> 3
479dqrem857 remainder 13 5 -> 3
480dqrem858 remainder 1 5 -> 1
481
482-- Vladimir's cases 1234567890123456
483dqrem860 remainder 123.0e1 1000000000000000 -> 1230
484dqrem861 remainder 1230 1000000000000000 -> 1230
485dqrem862 remainder 12.3e2 1000000000000000 -> 1230
486dqrem863 remainder 1.23e3 1000000000000000 -> 1230
487dqrem864 remainder 123e1 1000000000000000 -> 1230
488dqrem870 remainder 123e1 1000000000000000 -> 1230
489dqrem871 remainder 123e1 100000000000000 -> 1230
490dqrem872 remainder 123e1 10000000000000 -> 1230
491dqrem873 remainder 123e1 1000000000000 -> 1230
492dqrem874 remainder 123e1 100000000000 -> 1230
493dqrem875 remainder 123e1 10000000000 -> 1230
494dqrem876 remainder 123e1 1000000000 -> 1230
495dqrem877 remainder 123e1 100000000 -> 1230
496dqrem878 remainder 1230 100000000 -> 1230
497dqrem879 remainder 123e1 10000000 -> 1230
498dqrem880 remainder 123e1 1000000 -> 1230
499dqrem881 remainder 123e1 100000 -> 1230
500dqrem882 remainder 123e1 10000 -> 1230
501dqrem883 remainder 123e1 1000 -> 230
502dqrem884 remainder 123e1 100 -> 30
503dqrem885 remainder 123e1 10 -> 0
504dqrem886 remainder 123e1 1 -> 0
505
506dqrem890 remainder 123e1 2000000000000000 -> 1230
507dqrem891 remainder 123e1 200000000000000 -> 1230
508dqrem892 remainder 123e1 20000000000000 -> 1230
509dqrem893 remainder 123e1 2000000000000 -> 1230
510dqrem894 remainder 123e1 200000000000 -> 1230
511dqrem895 remainder 123e1 20000000000 -> 1230
512dqrem896 remainder 123e1 2000000000 -> 1230
513dqrem897 remainder 123e1 200000000 -> 1230
514dqrem899 remainder 123e1 20000000 -> 1230
515dqrem900 remainder 123e1 2000000 -> 1230
516dqrem901 remainder 123e1 200000 -> 1230
517dqrem902 remainder 123e1 20000 -> 1230
518dqrem903 remainder 123e1 2000 -> 1230
519dqrem904 remainder 123e1 200 -> 30
520dqrem905 remainder 123e1 20 -> 10
521dqrem906 remainder 123e1 2 -> 0
522
523dqrem910 remainder 123e1 5000000000000000 -> 1230
524dqrem911 remainder 123e1 500000000000000 -> 1230
525dqrem912 remainder 123e1 50000000000000 -> 1230
526dqrem913 remainder 123e1 5000000000000 -> 1230
527dqrem914 remainder 123e1 500000000000 -> 1230
528dqrem915 remainder 123e1 50000000000 -> 1230
529dqrem916 remainder 123e1 5000000000 -> 1230
530dqrem917 remainder 123e1 500000000 -> 1230
531dqrem919 remainder 123e1 50000000 -> 1230
532dqrem920 remainder 123e1 5000000 -> 1230
533dqrem921 remainder 123e1 500000 -> 1230
534dqrem922 remainder 123e1 50000 -> 1230
535dqrem923 remainder 123e1 5000 -> 1230
536dqrem924 remainder 123e1 500 -> 230
537dqrem925 remainder 123e1 50 -> 30
538dqrem926 remainder 123e1 5 -> 0
539
540dqrem930 remainder 123e1 9000000000000000 -> 1230
541dqrem931 remainder 123e1 900000000000000 -> 1230
542dqrem932 remainder 123e1 90000000000000 -> 1230
543dqrem933 remainder 123e1 9000000000000 -> 1230
544dqrem934 remainder 123e1 900000000000 -> 1230
545dqrem935 remainder 123e1 90000000000 -> 1230
546dqrem936 remainder 123e1 9000000000 -> 1230
547dqrem937 remainder 123e1 900000000 -> 1230
548dqrem939 remainder 123e1 90000000 -> 1230
549dqrem940 remainder 123e1 9000000 -> 1230
550dqrem941 remainder 123e1 900000 -> 1230
551dqrem942 remainder 123e1 90000 -> 1230
552dqrem943 remainder 123e1 9000 -> 1230
553dqrem944 remainder 123e1 900 -> 330
554dqrem945 remainder 123e1 90 -> 60
555dqrem946 remainder 123e1 9 -> 6
556
557dqrem950 remainder 123e1 1000000000000000 -> 1230
558dqrem961 remainder 123e1 2999999999999999 -> 1230
559dqrem962 remainder 123e1 3999999999999999 -> 1230
560dqrem963 remainder 123e1 4999999999999999 -> 1230
561dqrem964 remainder 123e1 5999999999999999 -> 1230
562dqrem965 remainder 123e1 6999999999999999 -> 1230
563dqrem966 remainder 123e1 7999999999999999 -> 1230
564dqrem967 remainder 123e1 8999999999999999 -> 1230
565dqrem968 remainder 123e1 9999999999999999 -> 1230
566dqrem969 remainder 123e1 9876543210987654 -> 1230
567
568dqrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
569
570-- overflow and underflow tests [from divide]
571dqrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
572dqrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
573dqrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
574dqrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
575dqrem1055 remainder 1e-277 1e+311 -> 1E-277
576dqrem1056 remainder 1e-277 -1e+311 -> 1E-277
577dqrem1057 remainder -1e-277 1e+311 -> -1E-277
578dqrem1058 remainder -1e-277 -1e+311 -> -1E-277
579
580-- Gyuris example
581dqrem1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143
582
583-- destructive subtract
584dqrem1120 remainder 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> 0.765432109876543210987654321098768
585dqrem1121 remainder 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> 0.65432109876543210987654321098779
586dqrem1122 remainder 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> 0.5432109876543210987654321098890
587dqrem1123 remainder 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> 2.691358027469135802746913580274687
588dqrem1124 remainder 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692
589dqrem1125 remainder 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> 3.6913578024691357802469135780251
590dqrem1126 remainder 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247
591dqrem1127 remainder 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> 4.246913578024691357802469135780246
592dqrem1128 remainder 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> 4.3086421975308642197530864219759
593
594-- Null tests
595dqrem1000 remainder 10 # -> NaN Invalid_operation
596dqrem1001 remainder # 10 -> NaN Invalid_operation
597
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