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

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

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1------------------------------------------------------------------------
2-- ddRemainder.decTest -- decDouble 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
22precision: 16
23maxExponent: 384
24minExponent: -383
25extended: 1
26clamp: 1
27rounding: half_even
28
29-- sanity checks (as base, above)
30ddrem001 remainder 1 1 -> 0
31ddrem002 remainder 2 1 -> 0
32ddrem003 remainder 1 2 -> 1
33ddrem004 remainder 2 2 -> 0
34ddrem005 remainder 0 1 -> 0
35ddrem006 remainder 0 2 -> 0
36ddrem007 remainder 1 3 -> 1
37ddrem008 remainder 2 3 -> 2
38ddrem009 remainder 3 3 -> 0
39
40ddrem010 remainder 2.4 1 -> 0.4
41ddrem011 remainder 2.4 -1 -> 0.4
42ddrem012 remainder -2.4 1 -> -0.4
43ddrem013 remainder -2.4 -1 -> -0.4
44ddrem014 remainder 2.40 1 -> 0.40
45ddrem015 remainder 2.400 1 -> 0.400
46ddrem016 remainder 2.4 2 -> 0.4
47ddrem017 remainder 2.400 2 -> 0.400
48ddrem018 remainder 2. 2 -> 0
49ddrem019 remainder 20 20 -> 0
50
51ddrem020 remainder 187 187 -> 0
52ddrem021 remainder 5 2 -> 1
53ddrem022 remainder 5 2.0 -> 1.0
54ddrem023 remainder 5 2.000 -> 1.000
55ddrem024 remainder 5 0.200 -> 0.000
56ddrem025 remainder 5 0.200 -> 0.000
57
58ddrem030 remainder 1 2 -> 1
59ddrem031 remainder 1 4 -> 1
60ddrem032 remainder 1 8 -> 1
61
62ddrem033 remainder 1 16 -> 1
63ddrem034 remainder 1 32 -> 1
64ddrem035 remainder 1 64 -> 1
65ddrem040 remainder 1 -2 -> 1
66ddrem041 remainder 1 -4 -> 1
67ddrem042 remainder 1 -8 -> 1
68ddrem043 remainder 1 -16 -> 1
69ddrem044 remainder 1 -32 -> 1
70ddrem045 remainder 1 -64 -> 1
71ddrem050 remainder -1 2 -> -1
72ddrem051 remainder -1 4 -> -1
73ddrem052 remainder -1 8 -> -1
74ddrem053 remainder -1 16 -> -1
75ddrem054 remainder -1 32 -> -1
76ddrem055 remainder -1 64 -> -1
77ddrem060 remainder -1 -2 -> -1
78ddrem061 remainder -1 -4 -> -1
79ddrem062 remainder -1 -8 -> -1
80ddrem063 remainder -1 -16 -> -1
81ddrem064 remainder -1 -32 -> -1
82ddrem065 remainder -1 -64 -> -1
83
84ddrem066 remainder 999999999 1 -> 0
85ddrem067 remainder 999999999.4 1 -> 0.4
86ddrem068 remainder 999999999.5 1 -> 0.5
87ddrem069 remainder 999999999.9 1 -> 0.9
88ddrem070 remainder 999999999.999 1 -> 0.999
89ddrem071 remainder 999999.999999 1 -> 0.999999
90ddrem072 remainder 9 1 -> 0
91ddrem073 remainder 9999999999999999 1 -> 0
92ddrem074 remainder 9999999999999999 2 -> 1
93ddrem075 remainder 9999999999999999 3 -> 0
94ddrem076 remainder 9999999999999999 4 -> 3
95
96ddrem080 remainder 0. 1 -> 0
97ddrem081 remainder .0 1 -> 0.0
98ddrem082 remainder 0.00 1 -> 0.00
99ddrem083 remainder 0.00E+9 1 -> 0
100ddrem084 remainder 0.00E+3 1 -> 0
101ddrem085 remainder 0.00E+2 1 -> 0
102ddrem086 remainder 0.00E+1 1 -> 0.0
103ddrem087 remainder 0.00E+0 1 -> 0.00
104ddrem088 remainder 0.00E-0 1 -> 0.00
105ddrem089 remainder 0.00E-1 1 -> 0.000
106ddrem090 remainder 0.00E-2 1 -> 0.0000
107ddrem091 remainder 0.00E-3 1 -> 0.00000
108ddrem092 remainder 0.00E-4 1 -> 0.000000
109ddrem093 remainder 0.00E-5 1 -> 0E-7
110ddrem094 remainder 0.00E-6 1 -> 0E-8
111ddrem095 remainder 0.0000E-50 1 -> 0E-54
112
113-- Various flavours of remainder by 0
114ddrem101 remainder 0 0 -> NaN Division_undefined
115ddrem102 remainder 0 -0 -> NaN Division_undefined
116ddrem103 remainder -0 0 -> NaN Division_undefined
117ddrem104 remainder -0 -0 -> NaN Division_undefined
118ddrem105 remainder 0.0E5 0 -> NaN Division_undefined
119ddrem106 remainder 0.000 0 -> NaN Division_undefined
120-- [Some think this next group should be Division_by_zero exception, but
121-- IEEE 854 is explicit that it is Invalid operation .. for
122-- remainder-near, anyway]
123ddrem107 remainder 0.0001 0 -> NaN Invalid_operation
124ddrem108 remainder 0.01 0 -> NaN Invalid_operation
125ddrem109 remainder 0.1 0 -> NaN Invalid_operation
126ddrem110 remainder 1 0 -> NaN Invalid_operation
127ddrem111 remainder 1 0.0 -> NaN Invalid_operation
128ddrem112 remainder 10 0.0 -> NaN Invalid_operation
129ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
130ddrem114 remainder 1E+380 0 -> NaN Invalid_operation
131ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation
132ddrem116 remainder 0.01 -0 -> NaN Invalid_operation
133ddrem119 remainder 0.1 -0 -> NaN Invalid_operation
134ddrem120 remainder 1 -0 -> NaN Invalid_operation
135ddrem121 remainder 1 -0.0 -> NaN Invalid_operation
136ddrem122 remainder 10 -0.0 -> NaN Invalid_operation
137ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
138ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation
139-- and zeros on left
140ddrem130 remainder 0 1 -> 0
141ddrem131 remainder 0 -1 -> 0
142ddrem132 remainder 0.0 1 -> 0.0
143ddrem133 remainder 0.0 -1 -> 0.0
144ddrem134 remainder -0 1 -> -0
145ddrem135 remainder -0 -1 -> -0
146ddrem136 remainder -0.0 1 -> -0.0
147ddrem137 remainder -0.0 -1 -> -0.0
148
149-- 0.5ers
150ddrem143 remainder 0.5 2 -> 0.5
151ddrem144 remainder 0.5 2.1 -> 0.5
152ddrem145 remainder 0.5 2.01 -> 0.50
153ddrem146 remainder 0.5 2.001 -> 0.500
154ddrem147 remainder 0.50 2 -> 0.50
155ddrem148 remainder 0.50 2.01 -> 0.50
156ddrem149 remainder 0.50 2.001 -> 0.500
157
158-- steadies
159ddrem150 remainder 1 1 -> 0
160ddrem151 remainder 1 2 -> 1
161ddrem152 remainder 1 3 -> 1
162ddrem153 remainder 1 4 -> 1
163ddrem154 remainder 1 5 -> 1
164ddrem155 remainder 1 6 -> 1
165ddrem156 remainder 1 7 -> 1
166ddrem157 remainder 1 8 -> 1
167ddrem158 remainder 1 9 -> 1
168ddrem159 remainder 1 10 -> 1
169ddrem160 remainder 1 1 -> 0
170ddrem161 remainder 2 1 -> 0
171ddrem162 remainder 3 1 -> 0
172ddrem163 remainder 4 1 -> 0
173ddrem164 remainder 5 1 -> 0
174ddrem165 remainder 6 1 -> 0
175ddrem166 remainder 7 1 -> 0
176ddrem167 remainder 8 1 -> 0
177ddrem168 remainder 9 1 -> 0
178ddrem169 remainder 10 1 -> 0
179
180-- some differences from remainderNear
181ddrem171 remainder 0.4 1.020 -> 0.400
182ddrem172 remainder 0.50 1.020 -> 0.500
183ddrem173 remainder 0.51 1.020 -> 0.510
184ddrem174 remainder 0.52 1.020 -> 0.520
185ddrem175 remainder 0.6 1.020 -> 0.600
186
187-- More flavours of remainder by 0
188ddrem201 remainder 0 0 -> NaN Division_undefined
189ddrem202 remainder 0.0E5 0 -> NaN Division_undefined
190ddrem203 remainder 0.000 0 -> NaN Division_undefined
191ddrem204 remainder 0.0001 0 -> NaN Invalid_operation
192ddrem205 remainder 0.01 0 -> NaN Invalid_operation
193ddrem206 remainder 0.1 0 -> NaN Invalid_operation
194ddrem207 remainder 1 0 -> NaN Invalid_operation
195ddrem208 remainder 1 0.0 -> NaN Invalid_operation
196ddrem209 remainder 10 0.0 -> NaN Invalid_operation
197ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
198ddrem211 remainder 1E+380 0 -> NaN Invalid_operation
199
200-- some differences from remainderNear
201ddrem231 remainder -0.4 1.020 -> -0.400
202ddrem232 remainder -0.50 1.020 -> -0.500
203ddrem233 remainder -0.51 1.020 -> -0.510
204ddrem234 remainder -0.52 1.020 -> -0.520
205ddrem235 remainder -0.6 1.020 -> -0.600
206
207-- high Xs
208ddrem240 remainder 1E+2 1.00 -> 0.00
209
210-- ddrem3xx are from DiagBigDecimal
211ddrem301 remainder 1 3 -> 1
212ddrem302 remainder 5 5 -> 0
213ddrem303 remainder 13 10 -> 3
214ddrem304 remainder 13 50 -> 13
215ddrem305 remainder 13 100 -> 13
216ddrem306 remainder 13 1000 -> 13
217ddrem307 remainder .13 1 -> 0.13
218ddrem308 remainder 0.133 1 -> 0.133
219ddrem309 remainder 0.1033 1 -> 0.1033
220ddrem310 remainder 1.033 1 -> 0.033
221ddrem311 remainder 10.33 1 -> 0.33
222ddrem312 remainder 10.33 10 -> 0.33
223ddrem313 remainder 103.3 1 -> 0.3
224ddrem314 remainder 133 10 -> 3
225ddrem315 remainder 1033 10 -> 3
226ddrem316 remainder 1033 50 -> 33
227ddrem317 remainder 101.0 3 -> 2.0
228ddrem318 remainder 102.0 3 -> 0.0
229ddrem319 remainder 103.0 3 -> 1.0
230ddrem320 remainder 2.40 1 -> 0.40
231ddrem321 remainder 2.400 1 -> 0.400
232ddrem322 remainder 2.4 1 -> 0.4
233ddrem323 remainder 2.4 2 -> 0.4
234ddrem324 remainder 2.400 2 -> 0.400
235ddrem325 remainder 1 0.3 -> 0.1
236ddrem326 remainder 1 0.30 -> 0.10
237ddrem327 remainder 1 0.300 -> 0.100
238ddrem328 remainder 1 0.3000 -> 0.1000
239ddrem329 remainder 1.0 0.3 -> 0.1
240ddrem330 remainder 1.00 0.3 -> 0.10
241ddrem331 remainder 1.000 0.3 -> 0.100
242ddrem332 remainder 1.0000 0.3 -> 0.1000
243ddrem333 remainder 0.5 2 -> 0.5
244ddrem334 remainder 0.5 2.1 -> 0.5
245ddrem335 remainder 0.5 2.01 -> 0.50
246ddrem336 remainder 0.5 2.001 -> 0.500
247ddrem337 remainder 0.50 2 -> 0.50
248ddrem338 remainder 0.50 2.01 -> 0.50
249ddrem339 remainder 0.50 2.001 -> 0.500
250
251ddrem340 remainder 0.5 0.5000001 -> 0.5000000
252ddrem341 remainder 0.5 0.50000001 -> 0.50000000
253ddrem342 remainder 0.5 0.500000001 -> 0.500000000
254ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000
255ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000
256ddrem345 remainder 0.5 0.4999999 -> 1E-7
257ddrem346 remainder 0.5 0.49999999 -> 1E-8
258ddrem347 remainder 0.5 0.499999999 -> 1E-9
259ddrem348 remainder 0.5 0.4999999999 -> 1E-10
260ddrem349 remainder 0.5 0.49999999999 -> 1E-11
261ddrem350 remainder 0.5 0.499999999999 -> 1E-12
262
263ddrem351 remainder 0.03 7 -> 0.03
264ddrem352 remainder 5 2 -> 1
265ddrem353 remainder 4.1 2 -> 0.1
266ddrem354 remainder 4.01 2 -> 0.01
267ddrem355 remainder 4.001 2 -> 0.001
268ddrem356 remainder 4.0001 2 -> 0.0001
269ddrem357 remainder 4.00001 2 -> 0.00001
270ddrem358 remainder 4.000001 2 -> 0.000001
271ddrem359 remainder 4.0000001 2 -> 1E-7
272
273ddrem360 remainder 1.2 0.7345 -> 0.4655
274ddrem361 remainder 0.8 12 -> 0.8
275ddrem362 remainder 0.8 0.2 -> 0.0
276ddrem363 remainder 0.8 0.3 -> 0.2
277ddrem364 remainder 0.800 12 -> 0.800
278ddrem365 remainder 0.800 1.7 -> 0.800
279ddrem366 remainder 2.400 2 -> 0.400
280
281ddrem371 remainder 2.400 2 -> 0.400
282
283ddrem381 remainder 12345 1 -> 0
284ddrem382 remainder 12345 1.0001 -> 0.7657
285ddrem383 remainder 12345 1.001 -> 0.668
286ddrem384 remainder 12345 1.01 -> 0.78
287ddrem385 remainder 12345 1.1 -> 0.8
288ddrem386 remainder 12355 4 -> 3
289ddrem387 remainder 12345 4 -> 1
290ddrem388 remainder 12355 4.0001 -> 2.6912
291ddrem389 remainder 12345 4.0001 -> 0.6914
292ddrem390 remainder 12345 4.9 -> 1.9
293ddrem391 remainder 12345 4.99 -> 4.73
294ddrem392 remainder 12345 4.999 -> 2.469
295ddrem393 remainder 12345 4.9999 -> 0.2469
296ddrem394 remainder 12345 5 -> 0
297ddrem395 remainder 12345 5.0001 -> 4.7532
298ddrem396 remainder 12345 5.001 -> 2.532
299ddrem397 remainder 12345 5.01 -> 0.36
300ddrem398 remainder 12345 5.1 -> 3.0
301
302-- the nasty division-by-1 cases
303ddrem401 remainder 0.5 1 -> 0.5
304ddrem402 remainder 0.55 1 -> 0.55
305ddrem403 remainder 0.555 1 -> 0.555
306ddrem404 remainder 0.5555 1 -> 0.5555
307ddrem405 remainder 0.55555 1 -> 0.55555
308ddrem406 remainder 0.555555 1 -> 0.555555
309ddrem407 remainder 0.5555555 1 -> 0.5555555
310ddrem408 remainder 0.55555555 1 -> 0.55555555
311ddrem409 remainder 0.555555555 1 -> 0.555555555
312
313-- folddowns
314ddrem421 remainder 1E+384 1 -> NaN Division_impossible
315ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped
316ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped
317ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped
318ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped
319ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped
320ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped
321ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped
322ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped
323ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped
324-- tinies
325ddrem431 remainder 1E-397 1E-398 -> 0E-398
326ddrem432 remainder 1E-397 2E-398 -> 0E-398
327ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal
328ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal
329ddrem435 remainder 1E-397 5E-398 -> 0E-398
330ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal
331ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal
332ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal
333ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal
334ddrem440 remainder 1E-397 10E-398 -> 0E-398
335ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal
336ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal
337ddrem443 remainder 100E-397 20E-398 -> 0E-398
338ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal
339ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal
340
341-- zero signs
342ddrem650 remainder 1 1 -> 0
343ddrem651 remainder -1 1 -> -0
344ddrem652 remainder 1 -1 -> 0
345ddrem653 remainder -1 -1 -> -0
346ddrem654 remainder 0 1 -> 0
347ddrem655 remainder -0 1 -> -0
348ddrem656 remainder 0 -1 -> 0
349ddrem657 remainder -0 -1 -> -0
350ddrem658 remainder 0.00 1 -> 0.00
351ddrem659 remainder -0.00 1 -> -0.00
352
353-- Specials
354ddrem680 remainder Inf -Inf -> NaN Invalid_operation
355ddrem681 remainder Inf -1000 -> NaN Invalid_operation
356ddrem682 remainder Inf -1 -> NaN Invalid_operation
357ddrem683 remainder Inf 0 -> NaN Invalid_operation
358ddrem684 remainder Inf -0 -> NaN Invalid_operation
359ddrem685 remainder Inf 1 -> NaN Invalid_operation
360ddrem686 remainder Inf 1000 -> NaN Invalid_operation
361ddrem687 remainder Inf Inf -> NaN Invalid_operation
362ddrem688 remainder -1000 Inf -> -1000
363ddrem689 remainder -Inf Inf -> NaN Invalid_operation
364ddrem691 remainder -1 Inf -> -1
365ddrem692 remainder 0 Inf -> 0
366ddrem693 remainder -0 Inf -> -0
367ddrem694 remainder 1 Inf -> 1
368ddrem695 remainder 1000 Inf -> 1000
369ddrem696 remainder Inf Inf -> NaN Invalid_operation
370
371ddrem700 remainder -Inf -Inf -> NaN Invalid_operation
372ddrem701 remainder -Inf -1000 -> NaN Invalid_operation
373ddrem702 remainder -Inf -1 -> NaN Invalid_operation
374ddrem703 remainder -Inf -0 -> NaN Invalid_operation
375ddrem704 remainder -Inf 0 -> NaN Invalid_operation
376ddrem705 remainder -Inf 1 -> NaN Invalid_operation
377ddrem706 remainder -Inf 1000 -> NaN Invalid_operation
378ddrem707 remainder -Inf Inf -> NaN Invalid_operation
379ddrem708 remainder -Inf -Inf -> NaN Invalid_operation
380ddrem709 remainder -1000 Inf -> -1000
381ddrem710 remainder -1 -Inf -> -1
382ddrem711 remainder -0 -Inf -> -0
383ddrem712 remainder 0 -Inf -> 0
384ddrem713 remainder 1 -Inf -> 1
385ddrem714 remainder 1000 -Inf -> 1000
386ddrem715 remainder Inf -Inf -> NaN Invalid_operation
387
388ddrem721 remainder NaN -Inf -> NaN
389ddrem722 remainder NaN -1000 -> NaN
390ddrem723 remainder NaN -1 -> NaN
391ddrem724 remainder NaN -0 -> NaN
392ddrem725 remainder -NaN 0 -> -NaN
393ddrem726 remainder NaN 1 -> NaN
394ddrem727 remainder NaN 1000 -> NaN
395ddrem728 remainder NaN Inf -> NaN
396ddrem729 remainder NaN -NaN -> NaN
397ddrem730 remainder -Inf NaN -> NaN
398ddrem731 remainder -1000 NaN -> NaN
399ddrem732 remainder -1 NaN -> NaN
400ddrem733 remainder -0 -NaN -> -NaN
401ddrem734 remainder 0 NaN -> NaN
402ddrem735 remainder 1 -NaN -> -NaN
403ddrem736 remainder 1000 NaN -> NaN
404ddrem737 remainder Inf NaN -> NaN
405
406ddrem741 remainder sNaN -Inf -> NaN Invalid_operation
407ddrem742 remainder sNaN -1000 -> NaN Invalid_operation
408ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation
409ddrem744 remainder sNaN -0 -> NaN Invalid_operation
410ddrem745 remainder sNaN 0 -> NaN Invalid_operation
411ddrem746 remainder sNaN 1 -> NaN Invalid_operation
412ddrem747 remainder sNaN 1000 -> NaN Invalid_operation
413ddrem749 remainder sNaN NaN -> NaN Invalid_operation
414ddrem750 remainder sNaN sNaN -> NaN Invalid_operation
415ddrem751 remainder NaN sNaN -> NaN Invalid_operation
416ddrem752 remainder -Inf sNaN -> NaN Invalid_operation
417ddrem753 remainder -1000 sNaN -> NaN Invalid_operation
418ddrem754 remainder -1 sNaN -> NaN Invalid_operation
419ddrem755 remainder -0 sNaN -> NaN Invalid_operation
420ddrem756 remainder 0 sNaN -> NaN Invalid_operation
421ddrem757 remainder 1 sNaN -> NaN Invalid_operation
422ddrem758 remainder 1000 sNaN -> NaN Invalid_operation
423ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation
424
425-- propaging NaNs
426ddrem760 remainder NaN1 NaN7 -> NaN1
427ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
428ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
429ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
430ddrem764 remainder 15 NaN11 -> NaN11
431ddrem765 remainder NaN6 NaN12 -> NaN6
432ddrem766 remainder Inf NaN13 -> NaN13
433ddrem767 remainder NaN14 -Inf -> NaN14
434ddrem768 remainder 0 NaN15 -> NaN15
435ddrem769 remainder NaN16 -0 -> NaN16
436
437-- edge cases of impossible
438ddrem770 remainder 1234567890123456 10 -> 6
439ddrem771 remainder 1234567890123456 1 -> 0
440ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible
441ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible
442
443-- long operand checks
444ddrem801 remainder 12345678000 100 -> 0
445ddrem802 remainder 1 12345678000 -> 1
446ddrem803 remainder 1234567800 10 -> 0
447ddrem804 remainder 1 1234567800 -> 1
448ddrem805 remainder 1234567890 10 -> 0
449ddrem806 remainder 1 1234567890 -> 1
450ddrem807 remainder 1234567891 10 -> 1
451ddrem808 remainder 1 1234567891 -> 1
452ddrem809 remainder 12345678901 100 -> 1
453ddrem810 remainder 1 12345678901 -> 1
454ddrem811 remainder 1234567896 10 -> 6
455ddrem812 remainder 1 1234567896 -> 1
456
457ddrem821 remainder 12345678000 100 -> 0
458ddrem822 remainder 1 12345678000 -> 1
459ddrem823 remainder 1234567800 10 -> 0
460ddrem824 remainder 1 1234567800 -> 1
461ddrem825 remainder 1234567890 10 -> 0
462ddrem826 remainder 1 1234567890 -> 1
463ddrem827 remainder 1234567891 10 -> 1
464ddrem828 remainder 1 1234567891 -> 1
465ddrem829 remainder 12345678901 100 -> 1
466ddrem830 remainder 1 12345678901 -> 1
467ddrem831 remainder 1234567896 10 -> 6
468ddrem832 remainder 1 1234567896 -> 1
469
470-- from divideint
471ddrem840 remainder 100000000.0 1 -> 0.0
472ddrem841 remainder 100000000.4 1 -> 0.4
473ddrem842 remainder 100000000.5 1 -> 0.5
474ddrem843 remainder 100000000.9 1 -> 0.9
475ddrem844 remainder 100000000.999 1 -> 0.999
476ddrem850 remainder 100000003 5 -> 3
477ddrem851 remainder 10000003 5 -> 3
478ddrem852 remainder 1000003 5 -> 3
479ddrem853 remainder 100003 5 -> 3
480ddrem854 remainder 10003 5 -> 3
481ddrem855 remainder 1003 5 -> 3
482ddrem856 remainder 103 5 -> 3
483ddrem857 remainder 13 5 -> 3
484ddrem858 remainder 1 5 -> 1
485
486-- Vladimir's cases 1234567890123456
487ddrem860 remainder 123.0e1 1000000000000000 -> 1230
488ddrem861 remainder 1230 1000000000000000 -> 1230
489ddrem862 remainder 12.3e2 1000000000000000 -> 1230
490ddrem863 remainder 1.23e3 1000000000000000 -> 1230
491ddrem864 remainder 123e1 1000000000000000 -> 1230
492ddrem870 remainder 123e1 1000000000000000 -> 1230
493ddrem871 remainder 123e1 100000000000000 -> 1230
494ddrem872 remainder 123e1 10000000000000 -> 1230
495ddrem873 remainder 123e1 1000000000000 -> 1230
496ddrem874 remainder 123e1 100000000000 -> 1230
497ddrem875 remainder 123e1 10000000000 -> 1230
498ddrem876 remainder 123e1 1000000000 -> 1230
499ddrem877 remainder 123e1 100000000 -> 1230
500ddrem878 remainder 1230 100000000 -> 1230
501ddrem879 remainder 123e1 10000000 -> 1230
502ddrem880 remainder 123e1 1000000 -> 1230
503ddrem881 remainder 123e1 100000 -> 1230
504ddrem882 remainder 123e1 10000 -> 1230
505ddrem883 remainder 123e1 1000 -> 230
506ddrem884 remainder 123e1 100 -> 30
507ddrem885 remainder 123e1 10 -> 0
508ddrem886 remainder 123e1 1 -> 0
509
510ddrem890 remainder 123e1 2000000000000000 -> 1230
511ddrem891 remainder 123e1 200000000000000 -> 1230
512ddrem892 remainder 123e1 20000000000000 -> 1230
513ddrem893 remainder 123e1 2000000000000 -> 1230
514ddrem894 remainder 123e1 200000000000 -> 1230
515ddrem895 remainder 123e1 20000000000 -> 1230
516ddrem896 remainder 123e1 2000000000 -> 1230
517ddrem897 remainder 123e1 200000000 -> 1230
518ddrem899 remainder 123e1 20000000 -> 1230
519ddrem900 remainder 123e1 2000000 -> 1230
520ddrem901 remainder 123e1 200000 -> 1230
521ddrem902 remainder 123e1 20000 -> 1230
522ddrem903 remainder 123e1 2000 -> 1230
523ddrem904 remainder 123e1 200 -> 30
524ddrem905 remainder 123e1 20 -> 10
525ddrem906 remainder 123e1 2 -> 0
526
527ddrem910 remainder 123e1 5000000000000000 -> 1230
528ddrem911 remainder 123e1 500000000000000 -> 1230
529ddrem912 remainder 123e1 50000000000000 -> 1230
530ddrem913 remainder 123e1 5000000000000 -> 1230
531ddrem914 remainder 123e1 500000000000 -> 1230
532ddrem915 remainder 123e1 50000000000 -> 1230
533ddrem916 remainder 123e1 5000000000 -> 1230
534ddrem917 remainder 123e1 500000000 -> 1230
535ddrem919 remainder 123e1 50000000 -> 1230
536ddrem920 remainder 123e1 5000000 -> 1230
537ddrem921 remainder 123e1 500000 -> 1230
538ddrem922 remainder 123e1 50000 -> 1230
539ddrem923 remainder 123e1 5000 -> 1230
540ddrem924 remainder 123e1 500 -> 230
541ddrem925 remainder 123e1 50 -> 30
542ddrem926 remainder 123e1 5 -> 0
543
544ddrem930 remainder 123e1 9000000000000000 -> 1230
545ddrem931 remainder 123e1 900000000000000 -> 1230
546ddrem932 remainder 123e1 90000000000000 -> 1230
547ddrem933 remainder 123e1 9000000000000 -> 1230
548ddrem934 remainder 123e1 900000000000 -> 1230
549ddrem935 remainder 123e1 90000000000 -> 1230
550ddrem936 remainder 123e1 9000000000 -> 1230
551ddrem937 remainder 123e1 900000000 -> 1230
552ddrem939 remainder 123e1 90000000 -> 1230
553ddrem940 remainder 123e1 9000000 -> 1230
554ddrem941 remainder 123e1 900000 -> 1230
555ddrem942 remainder 123e1 90000 -> 1230
556ddrem943 remainder 123e1 9000 -> 1230
557ddrem944 remainder 123e1 900 -> 330
558ddrem945 remainder 123e1 90 -> 60
559ddrem946 remainder 123e1 9 -> 6
560
561ddrem950 remainder 123e1 1000000000000000 -> 1230
562ddrem961 remainder 123e1 2999999999999999 -> 1230
563ddrem962 remainder 123e1 3999999999999999 -> 1230
564ddrem963 remainder 123e1 4999999999999999 -> 1230
565ddrem964 remainder 123e1 5999999999999999 -> 1230
566ddrem965 remainder 123e1 6999999999999999 -> 1230
567ddrem966 remainder 123e1 7999999999999999 -> 1230
568ddrem967 remainder 123e1 8999999999999999 -> 1230
569ddrem968 remainder 123e1 9999999999999999 -> 1230
570ddrem969 remainder 123e1 9876543210987654 -> 1230
571
572ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
573
574-- overflow and underflow tests [from divide]
575ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
576ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
577ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
578ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
579ddrem1055 remainder 1e-277 1e+311 -> 1E-277
580ddrem1056 remainder 1e-277 -1e+311 -> 1E-277
581ddrem1057 remainder -1e-277 1e+311 -> -1E-277
582ddrem1058 remainder -1e-277 -1e+311 -> -1E-277
583
584-- destructive subtract
585ddrem1101 remainder 1234567890123456 1.000000000000001 -> 0.765432109876546
586ddrem1102 remainder 1234567890123456 1.00000000000001 -> 0.65432109876557
587ddrem1103 remainder 1234567890123456 1.0000000000001 -> 0.5432109876668
588ddrem1104 remainder 1234567890123455 4.000000000000001 -> 2.691358027469137
589ddrem1105 remainder 1234567890123456 4.000000000000001 -> 3.691358027469137
590ddrem1106 remainder 1234567890123456 4.9999999999999 -> 0.6913578024696
591ddrem1107 remainder 1234567890123456 4.99999999999999 -> 3.46913578024691
592ddrem1108 remainder 1234567890123456 4.999999999999999 -> 1.246913578024691
593ddrem1109 remainder 1234567890123456 5.000000000000001 -> 0.753086421975309
594ddrem1110 remainder 1234567890123456 5.00000000000001 -> 3.53086421975310
595ddrem1111 remainder 1234567890123456 5.0000000000001 -> 1.3086421975314
596
597-- Null tests
598ddrem1000 remainder 10 # -> NaN Invalid_operation
599ddrem1001 remainder # 10 -> NaN Invalid_operation
600
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