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 --
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. --
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 --
19
------------------------------------------------------------------------
29
-- sanity checks (as base, above)
30
ddrem001 remainder 1 1 -> 0
31
ddrem002 remainder 2 1 -> 0
32
ddrem003 remainder 1 2 -> 1
33
ddrem004 remainder 2 2 -> 0
34
ddrem005 remainder 0 1 -> 0
35
ddrem006 remainder 0 2 -> 0
36
ddrem007 remainder 1 3 -> 1
37
ddrem008 remainder 2 3 -> 2
38
ddrem009 remainder 3 3 -> 0
40
ddrem010 remainder 2.4 1 -> 0.4
41
ddrem011 remainder 2.4 -1 -> 0.4
42
ddrem012 remainder -2.4 1 -> -0.4
43
ddrem013 remainder -2.4 -1 -> -0.4
44
ddrem014 remainder 2.40 1 -> 0.40
45
ddrem015 remainder 2.400 1 -> 0.400
46
ddrem016 remainder 2.4 2 -> 0.4
47
ddrem017 remainder 2.400 2 -> 0.400
48
ddrem018 remainder 2. 2 -> 0
49
ddrem019 remainder 20 20 -> 0
51
ddrem020 remainder 187 187 -> 0
52
ddrem021 remainder 5 2 -> 1
53
ddrem022 remainder 5 2.0 -> 1.0
54
ddrem023 remainder 5 2.000 -> 1.000
55
ddrem024 remainder 5 0.200 -> 0.000
56
ddrem025 remainder 5 0.200 -> 0.000
58
ddrem030 remainder 1 2 -> 1
59
ddrem031 remainder 1 4 -> 1
60
ddrem032 remainder 1 8 -> 1
62
ddrem033 remainder 1 16 -> 1
63
ddrem034 remainder 1 32 -> 1
64
ddrem035 remainder 1 64 -> 1
65
ddrem040 remainder 1 -2 -> 1
66
ddrem041 remainder 1 -4 -> 1
67
ddrem042 remainder 1 -8 -> 1
68
ddrem043 remainder 1 -16 -> 1
69
ddrem044 remainder 1 -32 -> 1
70
ddrem045 remainder 1 -64 -> 1
71
ddrem050 remainder -1 2 -> -1
72
ddrem051 remainder -1 4 -> -1
73
ddrem052 remainder -1 8 -> -1
74
ddrem053 remainder -1 16 -> -1
75
ddrem054 remainder -1 32 -> -1
76
ddrem055 remainder -1 64 -> -1
77
ddrem060 remainder -1 -2 -> -1
78
ddrem061 remainder -1 -4 -> -1
79
ddrem062 remainder -1 -8 -> -1
80
ddrem063 remainder -1 -16 -> -1
81
ddrem064 remainder -1 -32 -> -1
82
ddrem065 remainder -1 -64 -> -1
84
ddrem066 remainder 999999999 1 -> 0
85
ddrem067 remainder 999999999.4 1 -> 0.4
86
ddrem068 remainder 999999999.5 1 -> 0.5
87
ddrem069 remainder 999999999.9 1 -> 0.9
88
ddrem070 remainder 999999999.999 1 -> 0.999
89
ddrem071 remainder 999999.999999 1 -> 0.999999
90
ddrem072 remainder 9 1 -> 0
91
ddrem073 remainder 9999999999999999 1 -> 0
92
ddrem074 remainder 9999999999999999 2 -> 1
93
ddrem075 remainder 9999999999999999 3 -> 0
94
ddrem076 remainder 9999999999999999 4 -> 3
96
ddrem080 remainder 0. 1 -> 0
97
ddrem081 remainder .0 1 -> 0.0
98
ddrem082 remainder 0.00 1 -> 0.00
99
ddrem083 remainder 0.00E+9 1 -> 0
100
ddrem084 remainder 0.00E+3 1 -> 0
101
ddrem085 remainder 0.00E+2 1 -> 0
102
ddrem086 remainder 0.00E+1 1 -> 0.0
103
ddrem087 remainder 0.00E+0 1 -> 0.00
104
ddrem088 remainder 0.00E-0 1 -> 0.00
105
ddrem089 remainder 0.00E-1 1 -> 0.000
106
ddrem090 remainder 0.00E-2 1 -> 0.0000
107
ddrem091 remainder 0.00E-3 1 -> 0.00000
108
ddrem092 remainder 0.00E-4 1 -> 0.000000
109
ddrem093 remainder 0.00E-5 1 -> 0E-7
110
ddrem094 remainder 0.00E-6 1 -> 0E-8
111
ddrem095 remainder 0.0000E-50 1 -> 0E-54
113
-- Various flavours of remainder by 0
114
ddrem101 remainder 0 0 -> NaN Division_undefined
115
ddrem102 remainder 0 -0 -> NaN Division_undefined
116
ddrem103 remainder -0 0 -> NaN Division_undefined
117
ddrem104 remainder -0 -0 -> NaN Division_undefined
118
ddrem105 remainder 0.0E5 0 -> NaN Division_undefined
119
ddrem106 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]
123
ddrem107 remainder 0.0001 0 -> NaN Invalid_operation
124
ddrem108 remainder 0.01 0 -> NaN Invalid_operation
125
ddrem109 remainder 0.1 0 -> NaN Invalid_operation
126
ddrem110 remainder 1 0 -> NaN Invalid_operation
127
ddrem111 remainder 1 0.0 -> NaN Invalid_operation
128
ddrem112 remainder 10 0.0 -> NaN Invalid_operation
129
ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
130
ddrem114 remainder 1E+380 0 -> NaN Invalid_operation
131
ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation
132
ddrem116 remainder 0.01 -0 -> NaN Invalid_operation
133
ddrem119 remainder 0.1 -0 -> NaN Invalid_operation
134
ddrem120 remainder 1 -0 -> NaN Invalid_operation
135
ddrem121 remainder 1 -0.0 -> NaN Invalid_operation
136
ddrem122 remainder 10 -0.0 -> NaN Invalid_operation
137
ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
138
ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation
140
ddrem130 remainder 0 1 -> 0
141
ddrem131 remainder 0 -1 -> 0
142
ddrem132 remainder 0.0 1 -> 0.0
143
ddrem133 remainder 0.0 -1 -> 0.0
144
ddrem134 remainder -0 1 -> -0
145
ddrem135 remainder -0 -1 -> -0
146
ddrem136 remainder -0.0 1 -> -0.0
147
ddrem137 remainder -0.0 -1 -> -0.0
150
ddrem143 remainder 0.5 2 -> 0.5
151
ddrem144 remainder 0.5 2.1 -> 0.5
152
ddrem145 remainder 0.5 2.01 -> 0.50
153
ddrem146 remainder 0.5 2.001 -> 0.500
154
ddrem147 remainder 0.50 2 -> 0.50
155
ddrem148 remainder 0.50 2.01 -> 0.50
156
ddrem149 remainder 0.50 2.001 -> 0.500
159
ddrem150 remainder 1 1 -> 0
160
ddrem151 remainder 1 2 -> 1
161
ddrem152 remainder 1 3 -> 1
162
ddrem153 remainder 1 4 -> 1
163
ddrem154 remainder 1 5 -> 1
164
ddrem155 remainder 1 6 -> 1
165
ddrem156 remainder 1 7 -> 1
166
ddrem157 remainder 1 8 -> 1
167
ddrem158 remainder 1 9 -> 1
168
ddrem159 remainder 1 10 -> 1
169
ddrem160 remainder 1 1 -> 0
170
ddrem161 remainder 2 1 -> 0
171
ddrem162 remainder 3 1 -> 0
172
ddrem163 remainder 4 1 -> 0
173
ddrem164 remainder 5 1 -> 0
174
ddrem165 remainder 6 1 -> 0
175
ddrem166 remainder 7 1 -> 0
176
ddrem167 remainder 8 1 -> 0
177
ddrem168 remainder 9 1 -> 0
178
ddrem169 remainder 10 1 -> 0
180
-- some differences from remainderNear
181
ddrem171 remainder 0.4 1.020 -> 0.400
182
ddrem172 remainder 0.50 1.020 -> 0.500
183
ddrem173 remainder 0.51 1.020 -> 0.510
184
ddrem174 remainder 0.52 1.020 -> 0.520
185
ddrem175 remainder 0.6 1.020 -> 0.600
187
-- More flavours of remainder by 0
188
ddrem201 remainder 0 0 -> NaN Division_undefined
189
ddrem202 remainder 0.0E5 0 -> NaN Division_undefined
190
ddrem203 remainder 0.000 0 -> NaN Division_undefined
191
ddrem204 remainder 0.0001 0 -> NaN Invalid_operation
192
ddrem205 remainder 0.01 0 -> NaN Invalid_operation
193
ddrem206 remainder 0.1 0 -> NaN Invalid_operation
194
ddrem207 remainder 1 0 -> NaN Invalid_operation
195
ddrem208 remainder 1 0.0 -> NaN Invalid_operation
196
ddrem209 remainder 10 0.0 -> NaN Invalid_operation
197
ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
198
ddrem211 remainder 1E+380 0 -> NaN Invalid_operation
200
-- some differences from remainderNear
201
ddrem231 remainder -0.4 1.020 -> -0.400
202
ddrem232 remainder -0.50 1.020 -> -0.500
203
ddrem233 remainder -0.51 1.020 -> -0.510
204
ddrem234 remainder -0.52 1.020 -> -0.520
205
ddrem235 remainder -0.6 1.020 -> -0.600
208
ddrem240 remainder 1E+2 1.00 -> 0.00
210
-- ddrem3xx are from DiagBigDecimal
211
ddrem301 remainder 1 3 -> 1
212
ddrem302 remainder 5 5 -> 0
213
ddrem303 remainder 13 10 -> 3
214
ddrem304 remainder 13 50 -> 13
215
ddrem305 remainder 13 100 -> 13
216
ddrem306 remainder 13 1000 -> 13
217
ddrem307 remainder .13 1 -> 0.13
218
ddrem308 remainder 0.133 1 -> 0.133
219
ddrem309 remainder 0.1033 1 -> 0.1033
220
ddrem310 remainder 1.033 1 -> 0.033
221
ddrem311 remainder 10.33 1 -> 0.33
222
ddrem312 remainder 10.33 10 -> 0.33
223
ddrem313 remainder 103.3 1 -> 0.3
224
ddrem314 remainder 133 10 -> 3
225
ddrem315 remainder 1033 10 -> 3
226
ddrem316 remainder 1033 50 -> 33
227
ddrem317 remainder 101.0 3 -> 2.0
228
ddrem318 remainder 102.0 3 -> 0.0
229
ddrem319 remainder 103.0 3 -> 1.0
230
ddrem320 remainder 2.40 1 -> 0.40
231
ddrem321 remainder 2.400 1 -> 0.400
232
ddrem322 remainder 2.4 1 -> 0.4
233
ddrem323 remainder 2.4 2 -> 0.4
234
ddrem324 remainder 2.400 2 -> 0.400
235
ddrem325 remainder 1 0.3 -> 0.1
236
ddrem326 remainder 1 0.30 -> 0.10
237
ddrem327 remainder 1 0.300 -> 0.100
238
ddrem328 remainder 1 0.3000 -> 0.1000
239
ddrem329 remainder 1.0 0.3 -> 0.1
240
ddrem330 remainder 1.00 0.3 -> 0.10
241
ddrem331 remainder 1.000 0.3 -> 0.100
242
ddrem332 remainder 1.0000 0.3 -> 0.1000
243
ddrem333 remainder 0.5 2 -> 0.5
244
ddrem334 remainder 0.5 2.1 -> 0.5
245
ddrem335 remainder 0.5 2.01 -> 0.50
246
ddrem336 remainder 0.5 2.001 -> 0.500
247
ddrem337 remainder 0.50 2 -> 0.50
248
ddrem338 remainder 0.50 2.01 -> 0.50
249
ddrem339 remainder 0.50 2.001 -> 0.500
251
ddrem340 remainder 0.5 0.5000001 -> 0.5000000
252
ddrem341 remainder 0.5 0.50000001 -> 0.50000000
253
ddrem342 remainder 0.5 0.500000001 -> 0.500000000
254
ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000
255
ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000
256
ddrem345 remainder 0.5 0.4999999 -> 1E-7
257
ddrem346 remainder 0.5 0.49999999 -> 1E-8
258
ddrem347 remainder 0.5 0.499999999 -> 1E-9
259
ddrem348 remainder 0.5 0.4999999999 -> 1E-10
260
ddrem349 remainder 0.5 0.49999999999 -> 1E-11
261
ddrem350 remainder 0.5 0.499999999999 -> 1E-12
263
ddrem351 remainder 0.03 7 -> 0.03
264
ddrem352 remainder 5 2 -> 1
265
ddrem353 remainder 4.1 2 -> 0.1
266
ddrem354 remainder 4.01 2 -> 0.01
267
ddrem355 remainder 4.001 2 -> 0.001
268
ddrem356 remainder 4.0001 2 -> 0.0001
269
ddrem357 remainder 4.00001 2 -> 0.00001
270
ddrem358 remainder 4.000001 2 -> 0.000001
271
ddrem359 remainder 4.0000001 2 -> 1E-7
273
ddrem360 remainder 1.2 0.7345 -> 0.4655
274
ddrem361 remainder 0.8 12 -> 0.8
275
ddrem362 remainder 0.8 0.2 -> 0.0
276
ddrem363 remainder 0.8 0.3 -> 0.2
277
ddrem364 remainder 0.800 12 -> 0.800
278
ddrem365 remainder 0.800 1.7 -> 0.800
279
ddrem366 remainder 2.400 2 -> 0.400
281
ddrem371 remainder 2.400 2 -> 0.400
283
ddrem381 remainder 12345 1 -> 0
284
ddrem382 remainder 12345 1.0001 -> 0.7657
285
ddrem383 remainder 12345 1.001 -> 0.668
286
ddrem384 remainder 12345 1.01 -> 0.78
287
ddrem385 remainder 12345 1.1 -> 0.8
288
ddrem386 remainder 12355 4 -> 3
289
ddrem387 remainder 12345 4 -> 1
290
ddrem388 remainder 12355 4.0001 -> 2.6912
291
ddrem389 remainder 12345 4.0001 -> 0.6914
292
ddrem390 remainder 12345 4.9 -> 1.9
293
ddrem391 remainder 12345 4.99 -> 4.73
294
ddrem392 remainder 12345 4.999 -> 2.469
295
ddrem393 remainder 12345 4.9999 -> 0.2469
296
ddrem394 remainder 12345 5 -> 0
297
ddrem395 remainder 12345 5.0001 -> 4.7532
298
ddrem396 remainder 12345 5.001 -> 2.532
299
ddrem397 remainder 12345 5.01 -> 0.36
300
ddrem398 remainder 12345 5.1 -> 3.0
302
-- the nasty division-by-1 cases
303
ddrem401 remainder 0.5 1 -> 0.5
304
ddrem402 remainder 0.55 1 -> 0.55
305
ddrem403 remainder 0.555 1 -> 0.555
306
ddrem404 remainder 0.5555 1 -> 0.5555
307
ddrem405 remainder 0.55555 1 -> 0.55555
308
ddrem406 remainder 0.555555 1 -> 0.555555
309
ddrem407 remainder 0.5555555 1 -> 0.5555555
310
ddrem408 remainder 0.55555555 1 -> 0.55555555
311
ddrem409 remainder 0.555555555 1 -> 0.555555555
314
ddrem421 remainder 1E+384 1 -> NaN Division_impossible
315
ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped
316
ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped
317
ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped
318
ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped
319
ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped
320
ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped
321
ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped
322
ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped
323
ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped
325
ddrem431 remainder 1E-397 1E-398 -> 0E-398
326
ddrem432 remainder 1E-397 2E-398 -> 0E-398
327
ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal
328
ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal
329
ddrem435 remainder 1E-397 5E-398 -> 0E-398
330
ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal
331
ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal
332
ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal
333
ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal
334
ddrem440 remainder 1E-397 10E-398 -> 0E-398
335
ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal
336
ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal
337
ddrem443 remainder 100E-397 20E-398 -> 0E-398
338
ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal
339
ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal
342
ddrem650 remainder 1 1 -> 0
343
ddrem651 remainder -1 1 -> -0
344
ddrem652 remainder 1 -1 -> 0
345
ddrem653 remainder -1 -1 -> -0
346
ddrem654 remainder 0 1 -> 0
347
ddrem655 remainder -0 1 -> -0
348
ddrem656 remainder 0 -1 -> 0
349
ddrem657 remainder -0 -1 -> -0
350
ddrem658 remainder 0.00 1 -> 0.00
351
ddrem659 remainder -0.00 1 -> -0.00
354
ddrem680 remainder Inf -Inf -> NaN Invalid_operation
355
ddrem681 remainder Inf -1000 -> NaN Invalid_operation
356
ddrem682 remainder Inf -1 -> NaN Invalid_operation
357
ddrem683 remainder Inf 0 -> NaN Invalid_operation
358
ddrem684 remainder Inf -0 -> NaN Invalid_operation
359
ddrem685 remainder Inf 1 -> NaN Invalid_operation
360
ddrem686 remainder Inf 1000 -> NaN Invalid_operation
361
ddrem687 remainder Inf Inf -> NaN Invalid_operation
362
ddrem688 remainder -1000 Inf -> -1000
363
ddrem689 remainder -Inf Inf -> NaN Invalid_operation
364
ddrem691 remainder -1 Inf -> -1
365
ddrem692 remainder 0 Inf -> 0
366
ddrem693 remainder -0 Inf -> -0
367
ddrem694 remainder 1 Inf -> 1
368
ddrem695 remainder 1000 Inf -> 1000
369
ddrem696 remainder Inf Inf -> NaN Invalid_operation
371
ddrem700 remainder -Inf -Inf -> NaN Invalid_operation
372
ddrem701 remainder -Inf -1000 -> NaN Invalid_operation
373
ddrem702 remainder -Inf -1 -> NaN Invalid_operation
374
ddrem703 remainder -Inf -0 -> NaN Invalid_operation
375
ddrem704 remainder -Inf 0 -> NaN Invalid_operation
376
ddrem705 remainder -Inf 1 -> NaN Invalid_operation
377
ddrem706 remainder -Inf 1000 -> NaN Invalid_operation
378
ddrem707 remainder -Inf Inf -> NaN Invalid_operation
379
ddrem708 remainder -Inf -Inf -> NaN Invalid_operation
380
ddrem709 remainder -1000 Inf -> -1000
381
ddrem710 remainder -1 -Inf -> -1
382
ddrem711 remainder -0 -Inf -> -0
383
ddrem712 remainder 0 -Inf -> 0
384
ddrem713 remainder 1 -Inf -> 1
385
ddrem714 remainder 1000 -Inf -> 1000
386
ddrem715 remainder Inf -Inf -> NaN Invalid_operation
388
ddrem721 remainder NaN -Inf -> NaN
389
ddrem722 remainder NaN -1000 -> NaN
390
ddrem723 remainder NaN -1 -> NaN
391
ddrem724 remainder NaN -0 -> NaN
392
ddrem725 remainder -NaN 0 -> -NaN
393
ddrem726 remainder NaN 1 -> NaN
394
ddrem727 remainder NaN 1000 -> NaN
395
ddrem728 remainder NaN Inf -> NaN
396
ddrem729 remainder NaN -NaN -> NaN
397
ddrem730 remainder -Inf NaN -> NaN
398
ddrem731 remainder -1000 NaN -> NaN
399
ddrem732 remainder -1 NaN -> NaN
400
ddrem733 remainder -0 -NaN -> -NaN
401
ddrem734 remainder 0 NaN -> NaN
402
ddrem735 remainder 1 -NaN -> -NaN
403
ddrem736 remainder 1000 NaN -> NaN
404
ddrem737 remainder Inf NaN -> NaN
406
ddrem741 remainder sNaN -Inf -> NaN Invalid_operation
407
ddrem742 remainder sNaN -1000 -> NaN Invalid_operation
408
ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation
409
ddrem744 remainder sNaN -0 -> NaN Invalid_operation
410
ddrem745 remainder sNaN 0 -> NaN Invalid_operation
411
ddrem746 remainder sNaN 1 -> NaN Invalid_operation
412
ddrem747 remainder sNaN 1000 -> NaN Invalid_operation
413
ddrem749 remainder sNaN NaN -> NaN Invalid_operation
414
ddrem750 remainder sNaN sNaN -> NaN Invalid_operation
415
ddrem751 remainder NaN sNaN -> NaN Invalid_operation
416
ddrem752 remainder -Inf sNaN -> NaN Invalid_operation
417
ddrem753 remainder -1000 sNaN -> NaN Invalid_operation
418
ddrem754 remainder -1 sNaN -> NaN Invalid_operation
419
ddrem755 remainder -0 sNaN -> NaN Invalid_operation
420
ddrem756 remainder 0 sNaN -> NaN Invalid_operation
421
ddrem757 remainder 1 sNaN -> NaN Invalid_operation
422
ddrem758 remainder 1000 sNaN -> NaN Invalid_operation
423
ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation
426
ddrem760 remainder NaN1 NaN7 -> NaN1
427
ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
428
ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
429
ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
430
ddrem764 remainder 15 NaN11 -> NaN11
431
ddrem765 remainder NaN6 NaN12 -> NaN6
432
ddrem766 remainder Inf NaN13 -> NaN13
433
ddrem767 remainder NaN14 -Inf -> NaN14
434
ddrem768 remainder 0 NaN15 -> NaN15
435
ddrem769 remainder NaN16 -0 -> NaN16
437
-- edge cases of impossible
438
ddrem770 remainder 1234567890123456 10 -> 6
439
ddrem771 remainder 1234567890123456 1 -> 0
440
ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible
441
ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible
443
-- long operand checks
444
ddrem801 remainder 12345678000 100 -> 0
445
ddrem802 remainder 1 12345678000 -> 1
446
ddrem803 remainder 1234567800 10 -> 0
447
ddrem804 remainder 1 1234567800 -> 1
448
ddrem805 remainder 1234567890 10 -> 0
449
ddrem806 remainder 1 1234567890 -> 1
450
ddrem807 remainder 1234567891 10 -> 1
451
ddrem808 remainder 1 1234567891 -> 1
452
ddrem809 remainder 12345678901 100 -> 1
453
ddrem810 remainder 1 12345678901 -> 1
454
ddrem811 remainder 1234567896 10 -> 6
455
ddrem812 remainder 1 1234567896 -> 1
457
ddrem821 remainder 12345678000 100 -> 0
458
ddrem822 remainder 1 12345678000 -> 1
459
ddrem823 remainder 1234567800 10 -> 0
460
ddrem824 remainder 1 1234567800 -> 1
461
ddrem825 remainder 1234567890 10 -> 0
462
ddrem826 remainder 1 1234567890 -> 1
463
ddrem827 remainder 1234567891 10 -> 1
464
ddrem828 remainder 1 1234567891 -> 1
465
ddrem829 remainder 12345678901 100 -> 1
466
ddrem830 remainder 1 12345678901 -> 1
467
ddrem831 remainder 1234567896 10 -> 6
468
ddrem832 remainder 1 1234567896 -> 1
471
ddrem840 remainder 100000000.0 1 -> 0.0
472
ddrem841 remainder 100000000.4 1 -> 0.4
473
ddrem842 remainder 100000000.5 1 -> 0.5
474
ddrem843 remainder 100000000.9 1 -> 0.9
475
ddrem844 remainder 100000000.999 1 -> 0.999
476
ddrem850 remainder 100000003 5 -> 3
477
ddrem851 remainder 10000003 5 -> 3
478
ddrem852 remainder 1000003 5 -> 3
479
ddrem853 remainder 100003 5 -> 3
480
ddrem854 remainder 10003 5 -> 3
481
ddrem855 remainder 1003 5 -> 3
482
ddrem856 remainder 103 5 -> 3
483
ddrem857 remainder 13 5 -> 3
484
ddrem858 remainder 1 5 -> 1
486
-- Vladimir's cases 1234567890123456
487
ddrem860 remainder 123.0e1 1000000000000000 -> 1230
488
ddrem861 remainder 1230 1000000000000000 -> 1230
489
ddrem862 remainder 12.3e2 1000000000000000 -> 1230
490
ddrem863 remainder 1.23e3 1000000000000000 -> 1230
491
ddrem864 remainder 123e1 1000000000000000 -> 1230
492
ddrem870 remainder 123e1 1000000000000000 -> 1230
493
ddrem871 remainder 123e1 100000000000000 -> 1230
494
ddrem872 remainder 123e1 10000000000000 -> 1230
495
ddrem873 remainder 123e1 1000000000000 -> 1230
496
ddrem874 remainder 123e1 100000000000 -> 1230
497
ddrem875 remainder 123e1 10000000000 -> 1230
498
ddrem876 remainder 123e1 1000000000 -> 1230
499
ddrem877 remainder 123e1 100000000 -> 1230
500
ddrem878 remainder 1230 100000000 -> 1230
501
ddrem879 remainder 123e1 10000000 -> 1230
502
ddrem880 remainder 123e1 1000000 -> 1230
503
ddrem881 remainder 123e1 100000 -> 1230
504
ddrem882 remainder 123e1 10000 -> 1230
505
ddrem883 remainder 123e1 1000 -> 230
506
ddrem884 remainder 123e1 100 -> 30
507
ddrem885 remainder 123e1 10 -> 0
508
ddrem886 remainder 123e1 1 -> 0
510
ddrem890 remainder 123e1 2000000000000000 -> 1230
511
ddrem891 remainder 123e1 200000000000000 -> 1230
512
ddrem892 remainder 123e1 20000000000000 -> 1230
513
ddrem893 remainder 123e1 2000000000000 -> 1230
514
ddrem894 remainder 123e1 200000000000 -> 1230
515
ddrem895 remainder 123e1 20000000000 -> 1230
516
ddrem896 remainder 123e1 2000000000 -> 1230
517
ddrem897 remainder 123e1 200000000 -> 1230
518
ddrem899 remainder 123e1 20000000 -> 1230
519
ddrem900 remainder 123e1 2000000 -> 1230
520
ddrem901 remainder 123e1 200000 -> 1230
521
ddrem902 remainder 123e1 20000 -> 1230
522
ddrem903 remainder 123e1 2000 -> 1230
523
ddrem904 remainder 123e1 200 -> 30
524
ddrem905 remainder 123e1 20 -> 10
525
ddrem906 remainder 123e1 2 -> 0
527
ddrem910 remainder 123e1 5000000000000000 -> 1230
528
ddrem911 remainder 123e1 500000000000000 -> 1230
529
ddrem912 remainder 123e1 50000000000000 -> 1230
530
ddrem913 remainder 123e1 5000000000000 -> 1230
531
ddrem914 remainder 123e1 500000000000 -> 1230
532
ddrem915 remainder 123e1 50000000000 -> 1230
533
ddrem916 remainder 123e1 5000000000 -> 1230
534
ddrem917 remainder 123e1 500000000 -> 1230
535
ddrem919 remainder 123e1 50000000 -> 1230
536
ddrem920 remainder 123e1 5000000 -> 1230
537
ddrem921 remainder 123e1 500000 -> 1230
538
ddrem922 remainder 123e1 50000 -> 1230
539
ddrem923 remainder 123e1 5000 -> 1230
540
ddrem924 remainder 123e1 500 -> 230
541
ddrem925 remainder 123e1 50 -> 30
542
ddrem926 remainder 123e1 5 -> 0
544
ddrem930 remainder 123e1 9000000000000000 -> 1230
545
ddrem931 remainder 123e1 900000000000000 -> 1230
546
ddrem932 remainder 123e1 90000000000000 -> 1230
547
ddrem933 remainder 123e1 9000000000000 -> 1230
548
ddrem934 remainder 123e1 900000000000 -> 1230
549
ddrem935 remainder 123e1 90000000000 -> 1230
550
ddrem936 remainder 123e1 9000000000 -> 1230
551
ddrem937 remainder 123e1 900000000 -> 1230
552
ddrem939 remainder 123e1 90000000 -> 1230
553
ddrem940 remainder 123e1 9000000 -> 1230
554
ddrem941 remainder 123e1 900000 -> 1230
555
ddrem942 remainder 123e1 90000 -> 1230
556
ddrem943 remainder 123e1 9000 -> 1230
557
ddrem944 remainder 123e1 900 -> 330
558
ddrem945 remainder 123e1 90 -> 60
559
ddrem946 remainder 123e1 9 -> 6
561
ddrem950 remainder 123e1 1000000000000000 -> 1230
562
ddrem961 remainder 123e1 2999999999999999 -> 1230
563
ddrem962 remainder 123e1 3999999999999999 -> 1230
564
ddrem963 remainder 123e1 4999999999999999 -> 1230
565
ddrem964 remainder 123e1 5999999999999999 -> 1230
566
ddrem965 remainder 123e1 6999999999999999 -> 1230
567
ddrem966 remainder 123e1 7999999999999999 -> 1230
568
ddrem967 remainder 123e1 8999999999999999 -> 1230
569
ddrem968 remainder 123e1 9999999999999999 -> 1230
570
ddrem969 remainder 123e1 9876543210987654 -> 1230
572
ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
574
-- overflow and underflow tests [from divide]
575
ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
576
ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
577
ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
578
ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
579
ddrem1055 remainder 1e-277 1e+311 -> 1E-277
580
ddrem1056 remainder 1e-277 -1e+311 -> 1E-277
581
ddrem1057 remainder -1e-277 1e+311 -> -1E-277
582
ddrem1058 remainder -1e-277 -1e+311 -> -1E-277
584
-- destructive subtract
585
ddrem1101 remainder 1234567890123456 1.000000000000001 -> 0.765432109876546
586
ddrem1102 remainder 1234567890123456 1.00000000000001 -> 0.65432109876557
587
ddrem1103 remainder 1234567890123456 1.0000000000001 -> 0.5432109876668
588
ddrem1104 remainder 1234567890123455 4.000000000000001 -> 2.691358027469137
589
ddrem1105 remainder 1234567890123456 4.000000000000001 -> 3.691358027469137
590
ddrem1106 remainder 1234567890123456 4.9999999999999 -> 0.6913578024696
591
ddrem1107 remainder 1234567890123456 4.99999999999999 -> 3.46913578024691
592
ddrem1108 remainder 1234567890123456 4.999999999999999 -> 1.246913578024691
593
ddrem1109 remainder 1234567890123456 5.000000000000001 -> 0.753086421975309
594
ddrem1110 remainder 1234567890123456 5.00000000000001 -> 3.53086421975310
595
ddrem1111 remainder 1234567890123456 5.0000000000001 -> 1.3086421975314
598
ddrem1000 remainder 10 # -> NaN Invalid_operation
599
ddrem1001 remainder # 10 -> NaN Invalid_operation