]>
Commit | Line | Data |
---|---|---|
4710c53d | 1 | ------------------------------------------------------------------------\r |
2 | -- dqRemainder.decTest -- decQuad remainder --\r | |
3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --\r | |
4 | ------------------------------------------------------------------------\r | |
5 | -- Please see the document "General Decimal Arithmetic Testcases" --\r | |
6 | -- at http://www2.hursley.ibm.com/decimal for the description of --\r | |
7 | -- these testcases. --\r | |
8 | -- --\r | |
9 | -- These testcases are experimental ('beta' versions), and they --\r | |
10 | -- may contain errors. They are offered on an as-is basis. In --\r | |
11 | -- particular, achieving the same results as the tests here is not --\r | |
12 | -- a guarantee that an implementation complies with any Standard --\r | |
13 | -- or specification. The tests are not exhaustive. --\r | |
14 | -- --\r | |
15 | -- Please send comments, suggestions, and corrections to the author: --\r | |
16 | -- Mike Cowlishaw, IBM Fellow --\r | |
17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --\r | |
18 | -- mfc@uk.ibm.com --\r | |
19 | ------------------------------------------------------------------------\r | |
20 | version: 2.59\r | |
21 | \r | |
22 | extended: 1\r | |
23 | clamp: 1\r | |
24 | precision: 34\r | |
25 | maxExponent: 6144\r | |
26 | minExponent: -6143\r | |
27 | rounding: half_even\r | |
28 | \r | |
29 | -- sanity checks (as base, above)\r | |
30 | dqrem001 remainder 1 1 -> 0\r | |
31 | dqrem002 remainder 2 1 -> 0\r | |
32 | dqrem003 remainder 1 2 -> 1\r | |
33 | dqrem004 remainder 2 2 -> 0\r | |
34 | dqrem005 remainder 0 1 -> 0\r | |
35 | dqrem006 remainder 0 2 -> 0\r | |
36 | dqrem007 remainder 1 3 -> 1\r | |
37 | dqrem008 remainder 2 3 -> 2\r | |
38 | dqrem009 remainder 3 3 -> 0\r | |
39 | \r | |
40 | dqrem010 remainder 2.4 1 -> 0.4\r | |
41 | dqrem011 remainder 2.4 -1 -> 0.4\r | |
42 | dqrem012 remainder -2.4 1 -> -0.4\r | |
43 | dqrem013 remainder -2.4 -1 -> -0.4\r | |
44 | dqrem014 remainder 2.40 1 -> 0.40\r | |
45 | dqrem015 remainder 2.400 1 -> 0.400\r | |
46 | dqrem016 remainder 2.4 2 -> 0.4\r | |
47 | dqrem017 remainder 2.400 2 -> 0.400\r | |
48 | dqrem018 remainder 2. 2 -> 0\r | |
49 | dqrem019 remainder 20 20 -> 0\r | |
50 | \r | |
51 | dqrem020 remainder 187 187 -> 0\r | |
52 | dqrem021 remainder 5 2 -> 1\r | |
53 | dqrem022 remainder 5 2.0 -> 1.0\r | |
54 | dqrem023 remainder 5 2.000 -> 1.000\r | |
55 | dqrem024 remainder 5 0.200 -> 0.000\r | |
56 | dqrem025 remainder 5 0.200 -> 0.000\r | |
57 | \r | |
58 | dqrem030 remainder 1 2 -> 1\r | |
59 | dqrem031 remainder 1 4 -> 1\r | |
60 | dqrem032 remainder 1 8 -> 1\r | |
61 | \r | |
62 | dqrem033 remainder 1 16 -> 1\r | |
63 | dqrem034 remainder 1 32 -> 1\r | |
64 | dqrem035 remainder 1 64 -> 1\r | |
65 | dqrem040 remainder 1 -2 -> 1\r | |
66 | dqrem041 remainder 1 -4 -> 1\r | |
67 | dqrem042 remainder 1 -8 -> 1\r | |
68 | dqrem043 remainder 1 -16 -> 1\r | |
69 | dqrem044 remainder 1 -32 -> 1\r | |
70 | dqrem045 remainder 1 -64 -> 1\r | |
71 | dqrem050 remainder -1 2 -> -1\r | |
72 | dqrem051 remainder -1 4 -> -1\r | |
73 | dqrem052 remainder -1 8 -> -1\r | |
74 | dqrem053 remainder -1 16 -> -1\r | |
75 | dqrem054 remainder -1 32 -> -1\r | |
76 | dqrem055 remainder -1 64 -> -1\r | |
77 | dqrem060 remainder -1 -2 -> -1\r | |
78 | dqrem061 remainder -1 -4 -> -1\r | |
79 | dqrem062 remainder -1 -8 -> -1\r | |
80 | dqrem063 remainder -1 -16 -> -1\r | |
81 | dqrem064 remainder -1 -32 -> -1\r | |
82 | dqrem065 remainder -1 -64 -> -1\r | |
83 | \r | |
84 | dqrem066 remainder 999999999 1 -> 0\r | |
85 | dqrem067 remainder 999999999.4 1 -> 0.4\r | |
86 | dqrem068 remainder 999999999.5 1 -> 0.5\r | |
87 | dqrem069 remainder 999999999.9 1 -> 0.9\r | |
88 | dqrem070 remainder 999999999.999 1 -> 0.999\r | |
89 | dqrem071 remainder 999999.999999 1 -> 0.999999\r | |
90 | dqrem072 remainder 9 1 -> 0\r | |
91 | \r | |
92 | dqrem080 remainder 0. 1 -> 0\r | |
93 | dqrem081 remainder .0 1 -> 0.0\r | |
94 | dqrem082 remainder 0.00 1 -> 0.00\r | |
95 | dqrem083 remainder 0.00E+9 1 -> 0\r | |
96 | dqrem084 remainder 0.00E+3 1 -> 0\r | |
97 | dqrem085 remainder 0.00E+2 1 -> 0\r | |
98 | dqrem086 remainder 0.00E+1 1 -> 0.0\r | |
99 | dqrem087 remainder 0.00E+0 1 -> 0.00\r | |
100 | dqrem088 remainder 0.00E-0 1 -> 0.00\r | |
101 | dqrem089 remainder 0.00E-1 1 -> 0.000\r | |
102 | dqrem090 remainder 0.00E-2 1 -> 0.0000\r | |
103 | dqrem091 remainder 0.00E-3 1 -> 0.00000\r | |
104 | dqrem092 remainder 0.00E-4 1 -> 0.000000\r | |
105 | dqrem093 remainder 0.00E-5 1 -> 0E-7\r | |
106 | dqrem094 remainder 0.00E-6 1 -> 0E-8\r | |
107 | dqrem095 remainder 0.0000E-50 1 -> 0E-54\r | |
108 | \r | |
109 | -- Various flavours of remainder by 0\r | |
110 | dqrem101 remainder 0 0 -> NaN Division_undefined\r | |
111 | dqrem102 remainder 0 -0 -> NaN Division_undefined\r | |
112 | dqrem103 remainder -0 0 -> NaN Division_undefined\r | |
113 | dqrem104 remainder -0 -0 -> NaN Division_undefined\r | |
114 | dqrem105 remainder 0.0E5 0 -> NaN Division_undefined\r | |
115 | dqrem106 remainder 0.000 0 -> NaN Division_undefined\r | |
116 | -- [Some think this next group should be Division_by_zero exception, but\r | |
117 | -- IEEE 854 is explicit that it is Invalid operation .. for\r | |
118 | -- remainder-near, anyway]\r | |
119 | dqrem107 remainder 0.0001 0 -> NaN Invalid_operation\r | |
120 | dqrem108 remainder 0.01 0 -> NaN Invalid_operation\r | |
121 | dqrem109 remainder 0.1 0 -> NaN Invalid_operation\r | |
122 | dqrem110 remainder 1 0 -> NaN Invalid_operation\r | |
123 | dqrem111 remainder 1 0.0 -> NaN Invalid_operation\r | |
124 | dqrem112 remainder 10 0.0 -> NaN Invalid_operation\r | |
125 | dqrem113 remainder 1E+100 0.0 -> NaN Invalid_operation\r | |
126 | dqrem114 remainder 1E+380 0 -> NaN Invalid_operation\r | |
127 | dqrem115 remainder 0.0001 -0 -> NaN Invalid_operation\r | |
128 | dqrem116 remainder 0.01 -0 -> NaN Invalid_operation\r | |
129 | dqrem119 remainder 0.1 -0 -> NaN Invalid_operation\r | |
130 | dqrem120 remainder 1 -0 -> NaN Invalid_operation\r | |
131 | dqrem121 remainder 1 -0.0 -> NaN Invalid_operation\r | |
132 | dqrem122 remainder 10 -0.0 -> NaN Invalid_operation\r | |
133 | dqrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation\r | |
134 | dqrem124 remainder 1E+384 -0 -> NaN Invalid_operation\r | |
135 | -- and zeros on left\r | |
136 | dqrem130 remainder 0 1 -> 0\r | |
137 | dqrem131 remainder 0 -1 -> 0\r | |
138 | dqrem132 remainder 0.0 1 -> 0.0\r | |
139 | dqrem133 remainder 0.0 -1 -> 0.0\r | |
140 | dqrem134 remainder -0 1 -> -0\r | |
141 | dqrem135 remainder -0 -1 -> -0\r | |
142 | dqrem136 remainder -0.0 1 -> -0.0\r | |
143 | dqrem137 remainder -0.0 -1 -> -0.0\r | |
144 | \r | |
145 | -- 0.5ers\r | |
146 | dqrem143 remainder 0.5 2 -> 0.5\r | |
147 | dqrem144 remainder 0.5 2.1 -> 0.5\r | |
148 | dqrem145 remainder 0.5 2.01 -> 0.50\r | |
149 | dqrem146 remainder 0.5 2.001 -> 0.500\r | |
150 | dqrem147 remainder 0.50 2 -> 0.50\r | |
151 | dqrem148 remainder 0.50 2.01 -> 0.50\r | |
152 | dqrem149 remainder 0.50 2.001 -> 0.500\r | |
153 | \r | |
154 | -- steadies\r | |
155 | dqrem150 remainder 1 1 -> 0\r | |
156 | dqrem151 remainder 1 2 -> 1\r | |
157 | dqrem152 remainder 1 3 -> 1\r | |
158 | dqrem153 remainder 1 4 -> 1\r | |
159 | dqrem154 remainder 1 5 -> 1\r | |
160 | dqrem155 remainder 1 6 -> 1\r | |
161 | dqrem156 remainder 1 7 -> 1\r | |
162 | dqrem157 remainder 1 8 -> 1\r | |
163 | dqrem158 remainder 1 9 -> 1\r | |
164 | dqrem159 remainder 1 10 -> 1\r | |
165 | dqrem160 remainder 1 1 -> 0\r | |
166 | dqrem161 remainder 2 1 -> 0\r | |
167 | dqrem162 remainder 3 1 -> 0\r | |
168 | dqrem163 remainder 4 1 -> 0\r | |
169 | dqrem164 remainder 5 1 -> 0\r | |
170 | dqrem165 remainder 6 1 -> 0\r | |
171 | dqrem166 remainder 7 1 -> 0\r | |
172 | dqrem167 remainder 8 1 -> 0\r | |
173 | dqrem168 remainder 9 1 -> 0\r | |
174 | dqrem169 remainder 10 1 -> 0\r | |
175 | \r | |
176 | -- some differences from remainderNear\r | |
177 | dqrem171 remainder 0.4 1.020 -> 0.400\r | |
178 | dqrem172 remainder 0.50 1.020 -> 0.500\r | |
179 | dqrem173 remainder 0.51 1.020 -> 0.510\r | |
180 | dqrem174 remainder 0.52 1.020 -> 0.520\r | |
181 | dqrem175 remainder 0.6 1.020 -> 0.600\r | |
182 | \r | |
183 | -- More flavours of remainder by 0\r | |
184 | dqrem201 remainder 0 0 -> NaN Division_undefined\r | |
185 | dqrem202 remainder 0.0E5 0 -> NaN Division_undefined\r | |
186 | dqrem203 remainder 0.000 0 -> NaN Division_undefined\r | |
187 | dqrem204 remainder 0.0001 0 -> NaN Invalid_operation\r | |
188 | dqrem205 remainder 0.01 0 -> NaN Invalid_operation\r | |
189 | dqrem206 remainder 0.1 0 -> NaN Invalid_operation\r | |
190 | dqrem207 remainder 1 0 -> NaN Invalid_operation\r | |
191 | dqrem208 remainder 1 0.0 -> NaN Invalid_operation\r | |
192 | dqrem209 remainder 10 0.0 -> NaN Invalid_operation\r | |
193 | dqrem210 remainder 1E+100 0.0 -> NaN Invalid_operation\r | |
194 | dqrem211 remainder 1E+380 0 -> NaN Invalid_operation\r | |
195 | \r | |
196 | -- some differences from remainderNear\r | |
197 | dqrem231 remainder -0.4 1.020 -> -0.400\r | |
198 | dqrem232 remainder -0.50 1.020 -> -0.500\r | |
199 | dqrem233 remainder -0.51 1.020 -> -0.510\r | |
200 | dqrem234 remainder -0.52 1.020 -> -0.520\r | |
201 | dqrem235 remainder -0.6 1.020 -> -0.600\r | |
202 | \r | |
203 | -- high Xs\r | |
204 | dqrem240 remainder 1E+2 1.00 -> 0.00\r | |
205 | \r | |
206 | -- dqrem3xx are from DiagBigDecimal\r | |
207 | dqrem301 remainder 1 3 -> 1\r | |
208 | dqrem302 remainder 5 5 -> 0\r | |
209 | dqrem303 remainder 13 10 -> 3\r | |
210 | dqrem304 remainder 13 50 -> 13\r | |
211 | dqrem305 remainder 13 100 -> 13\r | |
212 | dqrem306 remainder 13 1000 -> 13\r | |
213 | dqrem307 remainder .13 1 -> 0.13\r | |
214 | dqrem308 remainder 0.133 1 -> 0.133\r | |
215 | dqrem309 remainder 0.1033 1 -> 0.1033\r | |
216 | dqrem310 remainder 1.033 1 -> 0.033\r | |
217 | dqrem311 remainder 10.33 1 -> 0.33\r | |
218 | dqrem312 remainder 10.33 10 -> 0.33\r | |
219 | dqrem313 remainder 103.3 1 -> 0.3\r | |
220 | dqrem314 remainder 133 10 -> 3\r | |
221 | dqrem315 remainder 1033 10 -> 3\r | |
222 | dqrem316 remainder 1033 50 -> 33\r | |
223 | dqrem317 remainder 101.0 3 -> 2.0\r | |
224 | dqrem318 remainder 102.0 3 -> 0.0\r | |
225 | dqrem319 remainder 103.0 3 -> 1.0\r | |
226 | dqrem320 remainder 2.40 1 -> 0.40\r | |
227 | dqrem321 remainder 2.400 1 -> 0.400\r | |
228 | dqrem322 remainder 2.4 1 -> 0.4\r | |
229 | dqrem323 remainder 2.4 2 -> 0.4\r | |
230 | dqrem324 remainder 2.400 2 -> 0.400\r | |
231 | dqrem325 remainder 1 0.3 -> 0.1\r | |
232 | dqrem326 remainder 1 0.30 -> 0.10\r | |
233 | dqrem327 remainder 1 0.300 -> 0.100\r | |
234 | dqrem328 remainder 1 0.3000 -> 0.1000\r | |
235 | dqrem329 remainder 1.0 0.3 -> 0.1\r | |
236 | dqrem330 remainder 1.00 0.3 -> 0.10\r | |
237 | dqrem331 remainder 1.000 0.3 -> 0.100\r | |
238 | dqrem332 remainder 1.0000 0.3 -> 0.1000\r | |
239 | dqrem333 remainder 0.5 2 -> 0.5\r | |
240 | dqrem334 remainder 0.5 2.1 -> 0.5\r | |
241 | dqrem335 remainder 0.5 2.01 -> 0.50\r | |
242 | dqrem336 remainder 0.5 2.001 -> 0.500\r | |
243 | dqrem337 remainder 0.50 2 -> 0.50\r | |
244 | dqrem338 remainder 0.50 2.01 -> 0.50\r | |
245 | dqrem339 remainder 0.50 2.001 -> 0.500\r | |
246 | \r | |
247 | dqrem340 remainder 0.5 0.5000001 -> 0.5000000\r | |
248 | dqrem341 remainder 0.5 0.50000001 -> 0.50000000\r | |
249 | dqrem342 remainder 0.5 0.500000001 -> 0.500000000\r | |
250 | dqrem343 remainder 0.5 0.5000000001 -> 0.5000000000\r | |
251 | dqrem344 remainder 0.5 0.50000000001 -> 0.50000000000\r | |
252 | dqrem345 remainder 0.5 0.4999999 -> 1E-7\r | |
253 | dqrem346 remainder 0.5 0.49999999 -> 1E-8\r | |
254 | dqrem347 remainder 0.5 0.499999999 -> 1E-9\r | |
255 | dqrem348 remainder 0.5 0.4999999999 -> 1E-10\r | |
256 | dqrem349 remainder 0.5 0.49999999999 -> 1E-11\r | |
257 | dqrem350 remainder 0.5 0.499999999999 -> 1E-12\r | |
258 | \r | |
259 | dqrem351 remainder 0.03 7 -> 0.03\r | |
260 | dqrem352 remainder 5 2 -> 1\r | |
261 | dqrem353 remainder 4.1 2 -> 0.1\r | |
262 | dqrem354 remainder 4.01 2 -> 0.01\r | |
263 | dqrem355 remainder 4.001 2 -> 0.001\r | |
264 | dqrem356 remainder 4.0001 2 -> 0.0001\r | |
265 | dqrem357 remainder 4.00001 2 -> 0.00001\r | |
266 | dqrem358 remainder 4.000001 2 -> 0.000001\r | |
267 | dqrem359 remainder 4.0000001 2 -> 1E-7\r | |
268 | \r | |
269 | dqrem360 remainder 1.2 0.7345 -> 0.4655\r | |
270 | dqrem361 remainder 0.8 12 -> 0.8\r | |
271 | dqrem362 remainder 0.8 0.2 -> 0.0\r | |
272 | dqrem363 remainder 0.8 0.3 -> 0.2\r | |
273 | dqrem364 remainder 0.800 12 -> 0.800\r | |
274 | dqrem365 remainder 0.800 1.7 -> 0.800\r | |
275 | dqrem366 remainder 2.400 2 -> 0.400\r | |
276 | \r | |
277 | dqrem371 remainder 2.400 2 -> 0.400\r | |
278 | \r | |
279 | dqrem381 remainder 12345 1 -> 0\r | |
280 | dqrem382 remainder 12345 1.0001 -> 0.7657\r | |
281 | dqrem383 remainder 12345 1.001 -> 0.668\r | |
282 | dqrem384 remainder 12345 1.01 -> 0.78\r | |
283 | dqrem385 remainder 12345 1.1 -> 0.8\r | |
284 | dqrem386 remainder 12355 4 -> 3\r | |
285 | dqrem387 remainder 12345 4 -> 1\r | |
286 | dqrem388 remainder 12355 4.0001 -> 2.6912\r | |
287 | dqrem389 remainder 12345 4.0001 -> 0.6914\r | |
288 | dqrem390 remainder 12345 4.9 -> 1.9\r | |
289 | dqrem391 remainder 12345 4.99 -> 4.73\r | |
290 | dqrem392 remainder 12345 4.999 -> 2.469\r | |
291 | dqrem393 remainder 12345 4.9999 -> 0.2469\r | |
292 | dqrem394 remainder 12345 5 -> 0\r | |
293 | dqrem395 remainder 12345 5.0001 -> 4.7532\r | |
294 | dqrem396 remainder 12345 5.001 -> 2.532\r | |
295 | dqrem397 remainder 12345 5.01 -> 0.36\r | |
296 | dqrem398 remainder 12345 5.1 -> 3.0\r | |
297 | \r | |
298 | -- the nasty division-by-1 cases\r | |
299 | dqrem401 remainder 0.5 1 -> 0.5\r | |
300 | dqrem402 remainder 0.55 1 -> 0.55\r | |
301 | dqrem403 remainder 0.555 1 -> 0.555\r | |
302 | dqrem404 remainder 0.5555 1 -> 0.5555\r | |
303 | dqrem405 remainder 0.55555 1 -> 0.55555\r | |
304 | dqrem406 remainder 0.555555 1 -> 0.555555\r | |
305 | dqrem407 remainder 0.5555555 1 -> 0.5555555\r | |
306 | dqrem408 remainder 0.55555555 1 -> 0.55555555\r | |
307 | dqrem409 remainder 0.555555555 1 -> 0.555555555\r | |
308 | \r | |
309 | -- folddowns\r | |
310 | dqrem421 remainder 1E+6144 1 -> NaN Division_impossible\r | |
311 | dqrem422 remainder 1E+6144 1E+6143 -> 0E+6111 Clamped\r | |
312 | dqrem423 remainder 1E+6144 2E+6143 -> 0E+6111 Clamped\r | |
313 | dqrem424 remainder 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped\r | |
314 | dqrem425 remainder 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped\r | |
315 | dqrem426 remainder 1E+6144 5E+6143 -> 0E+6111 Clamped\r | |
316 | dqrem427 remainder 1E+6144 6E+6143 -> 4.00000000000000000000000000000000E+6143 Clamped\r | |
317 | dqrem428 remainder 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped\r | |
318 | dqrem429 remainder 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped\r | |
319 | dqrem430 remainder 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped\r | |
320 | -- tinies\r | |
321 | dqrem431 remainder 1E-6175 1E-6176 -> 0E-6176\r | |
322 | dqrem432 remainder 1E-6175 2E-6176 -> 0E-6176\r | |
323 | dqrem433 remainder 1E-6175 3E-6176 -> 1E-6176 Subnormal\r | |
324 | dqrem434 remainder 1E-6175 4E-6176 -> 2E-6176 Subnormal\r | |
325 | dqrem435 remainder 1E-6175 5E-6176 -> 0E-6176\r | |
326 | dqrem436 remainder 1E-6175 6E-6176 -> 4E-6176 Subnormal\r | |
327 | dqrem437 remainder 1E-6175 7E-6176 -> 3E-6176 Subnormal\r | |
328 | dqrem438 remainder 1E-6175 8E-6176 -> 2E-6176 Subnormal\r | |
329 | dqrem439 remainder 1E-6175 9E-6176 -> 1E-6176 Subnormal\r | |
330 | dqrem440 remainder 1E-6175 10E-6176 -> 0E-6176\r | |
331 | dqrem441 remainder 1E-6175 11E-6176 -> 1.0E-6175 Subnormal\r | |
332 | dqrem442 remainder 100E-6175 11E-6176 -> 1.0E-6175 Subnormal\r | |
333 | dqrem443 remainder 100E-6175 20E-6176 -> 0E-6176\r | |
334 | dqrem444 remainder 100E-6175 21E-6176 -> 1.3E-6175 Subnormal\r | |
335 | dqrem445 remainder 100E-6175 30E-6176 -> 1.0E-6175 Subnormal\r | |
336 | \r | |
337 | -- zero signs\r | |
338 | dqrem650 remainder 1 1 -> 0\r | |
339 | dqrem651 remainder -1 1 -> -0\r | |
340 | dqrem652 remainder 1 -1 -> 0\r | |
341 | dqrem653 remainder -1 -1 -> -0\r | |
342 | dqrem654 remainder 0 1 -> 0\r | |
343 | dqrem655 remainder -0 1 -> -0\r | |
344 | dqrem656 remainder 0 -1 -> 0\r | |
345 | dqrem657 remainder -0 -1 -> -0\r | |
346 | dqrem658 remainder 0.00 1 -> 0.00\r | |
347 | dqrem659 remainder -0.00 1 -> -0.00\r | |
348 | \r | |
349 | -- Specials\r | |
350 | dqrem680 remainder Inf -Inf -> NaN Invalid_operation\r | |
351 | dqrem681 remainder Inf -1000 -> NaN Invalid_operation\r | |
352 | dqrem682 remainder Inf -1 -> NaN Invalid_operation\r | |
353 | dqrem683 remainder Inf 0 -> NaN Invalid_operation\r | |
354 | dqrem684 remainder Inf -0 -> NaN Invalid_operation\r | |
355 | dqrem685 remainder Inf 1 -> NaN Invalid_operation\r | |
356 | dqrem686 remainder Inf 1000 -> NaN Invalid_operation\r | |
357 | dqrem687 remainder Inf Inf -> NaN Invalid_operation\r | |
358 | dqrem688 remainder -1000 Inf -> -1000\r | |
359 | dqrem689 remainder -Inf Inf -> NaN Invalid_operation\r | |
360 | dqrem691 remainder -1 Inf -> -1\r | |
361 | dqrem692 remainder 0 Inf -> 0\r | |
362 | dqrem693 remainder -0 Inf -> -0\r | |
363 | dqrem694 remainder 1 Inf -> 1\r | |
364 | dqrem695 remainder 1000 Inf -> 1000\r | |
365 | dqrem696 remainder Inf Inf -> NaN Invalid_operation\r | |
366 | \r | |
367 | dqrem700 remainder -Inf -Inf -> NaN Invalid_operation\r | |
368 | dqrem701 remainder -Inf -1000 -> NaN Invalid_operation\r | |
369 | dqrem702 remainder -Inf -1 -> NaN Invalid_operation\r | |
370 | dqrem703 remainder -Inf -0 -> NaN Invalid_operation\r | |
371 | dqrem704 remainder -Inf 0 -> NaN Invalid_operation\r | |
372 | dqrem705 remainder -Inf 1 -> NaN Invalid_operation\r | |
373 | dqrem706 remainder -Inf 1000 -> NaN Invalid_operation\r | |
374 | dqrem707 remainder -Inf Inf -> NaN Invalid_operation\r | |
375 | dqrem708 remainder -Inf -Inf -> NaN Invalid_operation\r | |
376 | dqrem709 remainder -1000 Inf -> -1000\r | |
377 | dqrem710 remainder -1 -Inf -> -1\r | |
378 | dqrem711 remainder -0 -Inf -> -0\r | |
379 | dqrem712 remainder 0 -Inf -> 0\r | |
380 | dqrem713 remainder 1 -Inf -> 1\r | |
381 | dqrem714 remainder 1000 -Inf -> 1000\r | |
382 | dqrem715 remainder Inf -Inf -> NaN Invalid_operation\r | |
383 | \r | |
384 | dqrem721 remainder NaN -Inf -> NaN\r | |
385 | dqrem722 remainder NaN -1000 -> NaN\r | |
386 | dqrem723 remainder NaN -1 -> NaN\r | |
387 | dqrem724 remainder NaN -0 -> NaN\r | |
388 | dqrem725 remainder -NaN 0 -> -NaN\r | |
389 | dqrem726 remainder NaN 1 -> NaN\r | |
390 | dqrem727 remainder NaN 1000 -> NaN\r | |
391 | dqrem728 remainder NaN Inf -> NaN\r | |
392 | dqrem729 remainder NaN -NaN -> NaN\r | |
393 | dqrem730 remainder -Inf NaN -> NaN\r | |
394 | dqrem731 remainder -1000 NaN -> NaN\r | |
395 | dqrem732 remainder -1 NaN -> NaN\r | |
396 | dqrem733 remainder -0 -NaN -> -NaN\r | |
397 | dqrem734 remainder 0 NaN -> NaN\r | |
398 | dqrem735 remainder 1 -NaN -> -NaN\r | |
399 | dqrem736 remainder 1000 NaN -> NaN\r | |
400 | dqrem737 remainder Inf NaN -> NaN\r | |
401 | \r | |
402 | dqrem741 remainder sNaN -Inf -> NaN Invalid_operation\r | |
403 | dqrem742 remainder sNaN -1000 -> NaN Invalid_operation\r | |
404 | dqrem743 remainder -sNaN -1 -> -NaN Invalid_operation\r | |
405 | dqrem744 remainder sNaN -0 -> NaN Invalid_operation\r | |
406 | dqrem745 remainder sNaN 0 -> NaN Invalid_operation\r | |
407 | dqrem746 remainder sNaN 1 -> NaN Invalid_operation\r | |
408 | dqrem747 remainder sNaN 1000 -> NaN Invalid_operation\r | |
409 | dqrem749 remainder sNaN NaN -> NaN Invalid_operation\r | |
410 | dqrem750 remainder sNaN sNaN -> NaN Invalid_operation\r | |
411 | dqrem751 remainder NaN sNaN -> NaN Invalid_operation\r | |
412 | dqrem752 remainder -Inf sNaN -> NaN Invalid_operation\r | |
413 | dqrem753 remainder -1000 sNaN -> NaN Invalid_operation\r | |
414 | dqrem754 remainder -1 sNaN -> NaN Invalid_operation\r | |
415 | dqrem755 remainder -0 sNaN -> NaN Invalid_operation\r | |
416 | dqrem756 remainder 0 sNaN -> NaN Invalid_operation\r | |
417 | dqrem757 remainder 1 sNaN -> NaN Invalid_operation\r | |
418 | dqrem758 remainder 1000 sNaN -> NaN Invalid_operation\r | |
419 | dqrem759 remainder Inf -sNaN -> -NaN Invalid_operation\r | |
420 | \r | |
421 | -- propaging NaNs\r | |
422 | dqrem760 remainder NaN1 NaN7 -> NaN1\r | |
423 | dqrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation\r | |
424 | dqrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation\r | |
425 | dqrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation\r | |
426 | dqrem764 remainder 15 NaN11 -> NaN11\r | |
427 | dqrem765 remainder NaN6 NaN12 -> NaN6\r | |
428 | dqrem766 remainder Inf NaN13 -> NaN13\r | |
429 | dqrem767 remainder NaN14 -Inf -> NaN14\r | |
430 | dqrem768 remainder 0 NaN15 -> NaN15\r | |
431 | dqrem769 remainder NaN16 -0 -> NaN16\r | |
432 | \r | |
433 | -- edge cases of impossible\r | |
434 | dqrem770 remainder 1234568888888887777777777890123456 10 -> 6\r | |
435 | dqrem771 remainder 1234568888888887777777777890123456 1 -> 0\r | |
436 | dqrem772 remainder 1234568888888887777777777890123456 0.1 -> NaN Division_impossible\r | |
437 | dqrem773 remainder 1234568888888887777777777890123456 0.01 -> NaN Division_impossible\r | |
438 | \r | |
439 | -- long operand checks\r | |
440 | dqrem801 remainder 12345678000 100 -> 0\r | |
441 | dqrem802 remainder 1 12345678000 -> 1\r | |
442 | dqrem803 remainder 1234567800 10 -> 0\r | |
443 | dqrem804 remainder 1 1234567800 -> 1\r | |
444 | dqrem805 remainder 1234567890 10 -> 0\r | |
445 | dqrem806 remainder 1 1234567890 -> 1\r | |
446 | dqrem807 remainder 1234567891 10 -> 1\r | |
447 | dqrem808 remainder 1 1234567891 -> 1\r | |
448 | dqrem809 remainder 12345678901 100 -> 1\r | |
449 | dqrem810 remainder 1 12345678901 -> 1\r | |
450 | dqrem811 remainder 1234567896 10 -> 6\r | |
451 | dqrem812 remainder 1 1234567896 -> 1\r | |
452 | \r | |
453 | dqrem821 remainder 12345678000 100 -> 0\r | |
454 | dqrem822 remainder 1 12345678000 -> 1\r | |
455 | dqrem823 remainder 1234567800 10 -> 0\r | |
456 | dqrem824 remainder 1 1234567800 -> 1\r | |
457 | dqrem825 remainder 1234567890 10 -> 0\r | |
458 | dqrem826 remainder 1 1234567890 -> 1\r | |
459 | dqrem827 remainder 1234567891 10 -> 1\r | |
460 | dqrem828 remainder 1 1234567891 -> 1\r | |
461 | dqrem829 remainder 12345678901 100 -> 1\r | |
462 | dqrem830 remainder 1 12345678901 -> 1\r | |
463 | dqrem831 remainder 1234567896 10 -> 6\r | |
464 | dqrem832 remainder 1 1234567896 -> 1\r | |
465 | \r | |
466 | -- from divideint\r | |
467 | dqrem840 remainder 100000000.0 1 -> 0.0\r | |
468 | dqrem841 remainder 100000000.4 1 -> 0.4\r | |
469 | dqrem842 remainder 100000000.5 1 -> 0.5\r | |
470 | dqrem843 remainder 100000000.9 1 -> 0.9\r | |
471 | dqrem844 remainder 100000000.999 1 -> 0.999\r | |
472 | dqrem850 remainder 100000003 5 -> 3\r | |
473 | dqrem851 remainder 10000003 5 -> 3\r | |
474 | dqrem852 remainder 1000003 5 -> 3\r | |
475 | dqrem853 remainder 100003 5 -> 3\r | |
476 | dqrem854 remainder 10003 5 -> 3\r | |
477 | dqrem855 remainder 1003 5 -> 3\r | |
478 | dqrem856 remainder 103 5 -> 3\r | |
479 | dqrem857 remainder 13 5 -> 3\r | |
480 | dqrem858 remainder 1 5 -> 1\r | |
481 | \r | |
482 | -- Vladimir's cases 1234567890123456\r | |
483 | dqrem860 remainder 123.0e1 1000000000000000 -> 1230\r | |
484 | dqrem861 remainder 1230 1000000000000000 -> 1230\r | |
485 | dqrem862 remainder 12.3e2 1000000000000000 -> 1230\r | |
486 | dqrem863 remainder 1.23e3 1000000000000000 -> 1230\r | |
487 | dqrem864 remainder 123e1 1000000000000000 -> 1230\r | |
488 | dqrem870 remainder 123e1 1000000000000000 -> 1230\r | |
489 | dqrem871 remainder 123e1 100000000000000 -> 1230\r | |
490 | dqrem872 remainder 123e1 10000000000000 -> 1230\r | |
491 | dqrem873 remainder 123e1 1000000000000 -> 1230\r | |
492 | dqrem874 remainder 123e1 100000000000 -> 1230\r | |
493 | dqrem875 remainder 123e1 10000000000 -> 1230\r | |
494 | dqrem876 remainder 123e1 1000000000 -> 1230\r | |
495 | dqrem877 remainder 123e1 100000000 -> 1230\r | |
496 | dqrem878 remainder 1230 100000000 -> 1230\r | |
497 | dqrem879 remainder 123e1 10000000 -> 1230\r | |
498 | dqrem880 remainder 123e1 1000000 -> 1230\r | |
499 | dqrem881 remainder 123e1 100000 -> 1230\r | |
500 | dqrem882 remainder 123e1 10000 -> 1230\r | |
501 | dqrem883 remainder 123e1 1000 -> 230\r | |
502 | dqrem884 remainder 123e1 100 -> 30\r | |
503 | dqrem885 remainder 123e1 10 -> 0\r | |
504 | dqrem886 remainder 123e1 1 -> 0\r | |
505 | \r | |
506 | dqrem890 remainder 123e1 2000000000000000 -> 1230\r | |
507 | dqrem891 remainder 123e1 200000000000000 -> 1230\r | |
508 | dqrem892 remainder 123e1 20000000000000 -> 1230\r | |
509 | dqrem893 remainder 123e1 2000000000000 -> 1230\r | |
510 | dqrem894 remainder 123e1 200000000000 -> 1230\r | |
511 | dqrem895 remainder 123e1 20000000000 -> 1230\r | |
512 | dqrem896 remainder 123e1 2000000000 -> 1230\r | |
513 | dqrem897 remainder 123e1 200000000 -> 1230\r | |
514 | dqrem899 remainder 123e1 20000000 -> 1230\r | |
515 | dqrem900 remainder 123e1 2000000 -> 1230\r | |
516 | dqrem901 remainder 123e1 200000 -> 1230\r | |
517 | dqrem902 remainder 123e1 20000 -> 1230\r | |
518 | dqrem903 remainder 123e1 2000 -> 1230\r | |
519 | dqrem904 remainder 123e1 200 -> 30\r | |
520 | dqrem905 remainder 123e1 20 -> 10\r | |
521 | dqrem906 remainder 123e1 2 -> 0\r | |
522 | \r | |
523 | dqrem910 remainder 123e1 5000000000000000 -> 1230\r | |
524 | dqrem911 remainder 123e1 500000000000000 -> 1230\r | |
525 | dqrem912 remainder 123e1 50000000000000 -> 1230\r | |
526 | dqrem913 remainder 123e1 5000000000000 -> 1230\r | |
527 | dqrem914 remainder 123e1 500000000000 -> 1230\r | |
528 | dqrem915 remainder 123e1 50000000000 -> 1230\r | |
529 | dqrem916 remainder 123e1 5000000000 -> 1230\r | |
530 | dqrem917 remainder 123e1 500000000 -> 1230\r | |
531 | dqrem919 remainder 123e1 50000000 -> 1230\r | |
532 | dqrem920 remainder 123e1 5000000 -> 1230\r | |
533 | dqrem921 remainder 123e1 500000 -> 1230\r | |
534 | dqrem922 remainder 123e1 50000 -> 1230\r | |
535 | dqrem923 remainder 123e1 5000 -> 1230\r | |
536 | dqrem924 remainder 123e1 500 -> 230\r | |
537 | dqrem925 remainder 123e1 50 -> 30\r | |
538 | dqrem926 remainder 123e1 5 -> 0\r | |
539 | \r | |
540 | dqrem930 remainder 123e1 9000000000000000 -> 1230\r | |
541 | dqrem931 remainder 123e1 900000000000000 -> 1230\r | |
542 | dqrem932 remainder 123e1 90000000000000 -> 1230\r | |
543 | dqrem933 remainder 123e1 9000000000000 -> 1230\r | |
544 | dqrem934 remainder 123e1 900000000000 -> 1230\r | |
545 | dqrem935 remainder 123e1 90000000000 -> 1230\r | |
546 | dqrem936 remainder 123e1 9000000000 -> 1230\r | |
547 | dqrem937 remainder 123e1 900000000 -> 1230\r | |
548 | dqrem939 remainder 123e1 90000000 -> 1230\r | |
549 | dqrem940 remainder 123e1 9000000 -> 1230\r | |
550 | dqrem941 remainder 123e1 900000 -> 1230\r | |
551 | dqrem942 remainder 123e1 90000 -> 1230\r | |
552 | dqrem943 remainder 123e1 9000 -> 1230\r | |
553 | dqrem944 remainder 123e1 900 -> 330\r | |
554 | dqrem945 remainder 123e1 90 -> 60\r | |
555 | dqrem946 remainder 123e1 9 -> 6\r | |
556 | \r | |
557 | dqrem950 remainder 123e1 1000000000000000 -> 1230\r | |
558 | dqrem961 remainder 123e1 2999999999999999 -> 1230\r | |
559 | dqrem962 remainder 123e1 3999999999999999 -> 1230\r | |
560 | dqrem963 remainder 123e1 4999999999999999 -> 1230\r | |
561 | dqrem964 remainder 123e1 5999999999999999 -> 1230\r | |
562 | dqrem965 remainder 123e1 6999999999999999 -> 1230\r | |
563 | dqrem966 remainder 123e1 7999999999999999 -> 1230\r | |
564 | dqrem967 remainder 123e1 8999999999999999 -> 1230\r | |
565 | dqrem968 remainder 123e1 9999999999999999 -> 1230\r | |
566 | dqrem969 remainder 123e1 9876543210987654 -> 1230\r | |
567 | \r | |
568 | dqrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally\r | |
569 | \r | |
570 | -- overflow and underflow tests [from divide]\r | |
571 | dqrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible\r | |
572 | dqrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible\r | |
573 | dqrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible\r | |
574 | dqrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible\r | |
575 | dqrem1055 remainder 1e-277 1e+311 -> 1E-277\r | |
576 | dqrem1056 remainder 1e-277 -1e+311 -> 1E-277\r | |
577 | dqrem1057 remainder -1e-277 1e+311 -> -1E-277\r | |
578 | dqrem1058 remainder -1e-277 -1e+311 -> -1E-277\r | |
579 | \r | |
580 | -- Gyuris example\r | |
581 | dqrem1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143\r | |
582 | \r | |
583 | -- destructive subtract\r | |
584 | dqrem1120 remainder 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> 0.765432109876543210987654321098768\r | |
585 | dqrem1121 remainder 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> 0.65432109876543210987654321098779\r | |
586 | dqrem1122 remainder 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> 0.5432109876543210987654321098890\r | |
587 | dqrem1123 remainder 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> 2.691358027469135802746913580274687\r | |
588 | dqrem1124 remainder 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692\r | |
589 | dqrem1125 remainder 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> 3.6913578024691357802469135780251\r | |
590 | dqrem1126 remainder 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247\r | |
591 | dqrem1127 remainder 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> 4.246913578024691357802469135780246\r | |
592 | dqrem1128 remainder 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> 4.3086421975308642197530864219759\r | |
593 | \r | |
594 | -- Null tests\r | |
595 | dqrem1000 remainder 10 # -> NaN Invalid_operation\r | |
596 | dqrem1001 remainder # 10 -> NaN Invalid_operation\r | |
597 | \r |