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Commit | Line | Data |
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4710c53d | 1 | ------------------------------------------------------------------------\r |
2 | -- ddRemainder.decTest -- decDouble 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 | precision: 16\r | |
23 | maxExponent: 384\r | |
24 | minExponent: -383\r | |
25 | extended: 1\r | |
26 | clamp: 1\r | |
27 | rounding: half_even\r | |
28 | \r | |
29 | -- sanity checks (as base, above)\r | |
30 | ddrem001 remainder 1 1 -> 0\r | |
31 | ddrem002 remainder 2 1 -> 0\r | |
32 | ddrem003 remainder 1 2 -> 1\r | |
33 | ddrem004 remainder 2 2 -> 0\r | |
34 | ddrem005 remainder 0 1 -> 0\r | |
35 | ddrem006 remainder 0 2 -> 0\r | |
36 | ddrem007 remainder 1 3 -> 1\r | |
37 | ddrem008 remainder 2 3 -> 2\r | |
38 | ddrem009 remainder 3 3 -> 0\r | |
39 | \r | |
40 | ddrem010 remainder 2.4 1 -> 0.4\r | |
41 | ddrem011 remainder 2.4 -1 -> 0.4\r | |
42 | ddrem012 remainder -2.4 1 -> -0.4\r | |
43 | ddrem013 remainder -2.4 -1 -> -0.4\r | |
44 | ddrem014 remainder 2.40 1 -> 0.40\r | |
45 | ddrem015 remainder 2.400 1 -> 0.400\r | |
46 | ddrem016 remainder 2.4 2 -> 0.4\r | |
47 | ddrem017 remainder 2.400 2 -> 0.400\r | |
48 | ddrem018 remainder 2. 2 -> 0\r | |
49 | ddrem019 remainder 20 20 -> 0\r | |
50 | \r | |
51 | ddrem020 remainder 187 187 -> 0\r | |
52 | ddrem021 remainder 5 2 -> 1\r | |
53 | ddrem022 remainder 5 2.0 -> 1.0\r | |
54 | ddrem023 remainder 5 2.000 -> 1.000\r | |
55 | ddrem024 remainder 5 0.200 -> 0.000\r | |
56 | ddrem025 remainder 5 0.200 -> 0.000\r | |
57 | \r | |
58 | ddrem030 remainder 1 2 -> 1\r | |
59 | ddrem031 remainder 1 4 -> 1\r | |
60 | ddrem032 remainder 1 8 -> 1\r | |
61 | \r | |
62 | ddrem033 remainder 1 16 -> 1\r | |
63 | ddrem034 remainder 1 32 -> 1\r | |
64 | ddrem035 remainder 1 64 -> 1\r | |
65 | ddrem040 remainder 1 -2 -> 1\r | |
66 | ddrem041 remainder 1 -4 -> 1\r | |
67 | ddrem042 remainder 1 -8 -> 1\r | |
68 | ddrem043 remainder 1 -16 -> 1\r | |
69 | ddrem044 remainder 1 -32 -> 1\r | |
70 | ddrem045 remainder 1 -64 -> 1\r | |
71 | ddrem050 remainder -1 2 -> -1\r | |
72 | ddrem051 remainder -1 4 -> -1\r | |
73 | ddrem052 remainder -1 8 -> -1\r | |
74 | ddrem053 remainder -1 16 -> -1\r | |
75 | ddrem054 remainder -1 32 -> -1\r | |
76 | ddrem055 remainder -1 64 -> -1\r | |
77 | ddrem060 remainder -1 -2 -> -1\r | |
78 | ddrem061 remainder -1 -4 -> -1\r | |
79 | ddrem062 remainder -1 -8 -> -1\r | |
80 | ddrem063 remainder -1 -16 -> -1\r | |
81 | ddrem064 remainder -1 -32 -> -1\r | |
82 | ddrem065 remainder -1 -64 -> -1\r | |
83 | \r | |
84 | ddrem066 remainder 999999999 1 -> 0\r | |
85 | ddrem067 remainder 999999999.4 1 -> 0.4\r | |
86 | ddrem068 remainder 999999999.5 1 -> 0.5\r | |
87 | ddrem069 remainder 999999999.9 1 -> 0.9\r | |
88 | ddrem070 remainder 999999999.999 1 -> 0.999\r | |
89 | ddrem071 remainder 999999.999999 1 -> 0.999999\r | |
90 | ddrem072 remainder 9 1 -> 0\r | |
91 | ddrem073 remainder 9999999999999999 1 -> 0\r | |
92 | ddrem074 remainder 9999999999999999 2 -> 1\r | |
93 | ddrem075 remainder 9999999999999999 3 -> 0\r | |
94 | ddrem076 remainder 9999999999999999 4 -> 3\r | |
95 | \r | |
96 | ddrem080 remainder 0. 1 -> 0\r | |
97 | ddrem081 remainder .0 1 -> 0.0\r | |
98 | ddrem082 remainder 0.00 1 -> 0.00\r | |
99 | ddrem083 remainder 0.00E+9 1 -> 0\r | |
100 | ddrem084 remainder 0.00E+3 1 -> 0\r | |
101 | ddrem085 remainder 0.00E+2 1 -> 0\r | |
102 | ddrem086 remainder 0.00E+1 1 -> 0.0\r | |
103 | ddrem087 remainder 0.00E+0 1 -> 0.00\r | |
104 | ddrem088 remainder 0.00E-0 1 -> 0.00\r | |
105 | ddrem089 remainder 0.00E-1 1 -> 0.000\r | |
106 | ddrem090 remainder 0.00E-2 1 -> 0.0000\r | |
107 | ddrem091 remainder 0.00E-3 1 -> 0.00000\r | |
108 | ddrem092 remainder 0.00E-4 1 -> 0.000000\r | |
109 | ddrem093 remainder 0.00E-5 1 -> 0E-7\r | |
110 | ddrem094 remainder 0.00E-6 1 -> 0E-8\r | |
111 | ddrem095 remainder 0.0000E-50 1 -> 0E-54\r | |
112 | \r | |
113 | -- Various flavours of remainder by 0\r | |
114 | ddrem101 remainder 0 0 -> NaN Division_undefined\r | |
115 | ddrem102 remainder 0 -0 -> NaN Division_undefined\r | |
116 | ddrem103 remainder -0 0 -> NaN Division_undefined\r | |
117 | ddrem104 remainder -0 -0 -> NaN Division_undefined\r | |
118 | ddrem105 remainder 0.0E5 0 -> NaN Division_undefined\r | |
119 | ddrem106 remainder 0.000 0 -> NaN Division_undefined\r | |
120 | -- [Some think this next group should be Division_by_zero exception, but\r | |
121 | -- IEEE 854 is explicit that it is Invalid operation .. for\r | |
122 | -- remainder-near, anyway]\r | |
123 | ddrem107 remainder 0.0001 0 -> NaN Invalid_operation\r | |
124 | ddrem108 remainder 0.01 0 -> NaN Invalid_operation\r | |
125 | ddrem109 remainder 0.1 0 -> NaN Invalid_operation\r | |
126 | ddrem110 remainder 1 0 -> NaN Invalid_operation\r | |
127 | ddrem111 remainder 1 0.0 -> NaN Invalid_operation\r | |
128 | ddrem112 remainder 10 0.0 -> NaN Invalid_operation\r | |
129 | ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation\r | |
130 | ddrem114 remainder 1E+380 0 -> NaN Invalid_operation\r | |
131 | ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation\r | |
132 | ddrem116 remainder 0.01 -0 -> NaN Invalid_operation\r | |
133 | ddrem119 remainder 0.1 -0 -> NaN Invalid_operation\r | |
134 | ddrem120 remainder 1 -0 -> NaN Invalid_operation\r | |
135 | ddrem121 remainder 1 -0.0 -> NaN Invalid_operation\r | |
136 | ddrem122 remainder 10 -0.0 -> NaN Invalid_operation\r | |
137 | ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation\r | |
138 | ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation\r | |
139 | -- and zeros on left\r | |
140 | ddrem130 remainder 0 1 -> 0\r | |
141 | ddrem131 remainder 0 -1 -> 0\r | |
142 | ddrem132 remainder 0.0 1 -> 0.0\r | |
143 | ddrem133 remainder 0.0 -1 -> 0.0\r | |
144 | ddrem134 remainder -0 1 -> -0\r | |
145 | ddrem135 remainder -0 -1 -> -0\r | |
146 | ddrem136 remainder -0.0 1 -> -0.0\r | |
147 | ddrem137 remainder -0.0 -1 -> -0.0\r | |
148 | \r | |
149 | -- 0.5ers\r | |
150 | ddrem143 remainder 0.5 2 -> 0.5\r | |
151 | ddrem144 remainder 0.5 2.1 -> 0.5\r | |
152 | ddrem145 remainder 0.5 2.01 -> 0.50\r | |
153 | ddrem146 remainder 0.5 2.001 -> 0.500\r | |
154 | ddrem147 remainder 0.50 2 -> 0.50\r | |
155 | ddrem148 remainder 0.50 2.01 -> 0.50\r | |
156 | ddrem149 remainder 0.50 2.001 -> 0.500\r | |
157 | \r | |
158 | -- steadies\r | |
159 | ddrem150 remainder 1 1 -> 0\r | |
160 | ddrem151 remainder 1 2 -> 1\r | |
161 | ddrem152 remainder 1 3 -> 1\r | |
162 | ddrem153 remainder 1 4 -> 1\r | |
163 | ddrem154 remainder 1 5 -> 1\r | |
164 | ddrem155 remainder 1 6 -> 1\r | |
165 | ddrem156 remainder 1 7 -> 1\r | |
166 | ddrem157 remainder 1 8 -> 1\r | |
167 | ddrem158 remainder 1 9 -> 1\r | |
168 | ddrem159 remainder 1 10 -> 1\r | |
169 | ddrem160 remainder 1 1 -> 0\r | |
170 | ddrem161 remainder 2 1 -> 0\r | |
171 | ddrem162 remainder 3 1 -> 0\r | |
172 | ddrem163 remainder 4 1 -> 0\r | |
173 | ddrem164 remainder 5 1 -> 0\r | |
174 | ddrem165 remainder 6 1 -> 0\r | |
175 | ddrem166 remainder 7 1 -> 0\r | |
176 | ddrem167 remainder 8 1 -> 0\r | |
177 | ddrem168 remainder 9 1 -> 0\r | |
178 | ddrem169 remainder 10 1 -> 0\r | |
179 | \r | |
180 | -- some differences from remainderNear\r | |
181 | ddrem171 remainder 0.4 1.020 -> 0.400\r | |
182 | ddrem172 remainder 0.50 1.020 -> 0.500\r | |
183 | ddrem173 remainder 0.51 1.020 -> 0.510\r | |
184 | ddrem174 remainder 0.52 1.020 -> 0.520\r | |
185 | ddrem175 remainder 0.6 1.020 -> 0.600\r | |
186 | \r | |
187 | -- More flavours of remainder by 0\r | |
188 | ddrem201 remainder 0 0 -> NaN Division_undefined\r | |
189 | ddrem202 remainder 0.0E5 0 -> NaN Division_undefined\r | |
190 | ddrem203 remainder 0.000 0 -> NaN Division_undefined\r | |
191 | ddrem204 remainder 0.0001 0 -> NaN Invalid_operation\r | |
192 | ddrem205 remainder 0.01 0 -> NaN Invalid_operation\r | |
193 | ddrem206 remainder 0.1 0 -> NaN Invalid_operation\r | |
194 | ddrem207 remainder 1 0 -> NaN Invalid_operation\r | |
195 | ddrem208 remainder 1 0.0 -> NaN Invalid_operation\r | |
196 | ddrem209 remainder 10 0.0 -> NaN Invalid_operation\r | |
197 | ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation\r | |
198 | ddrem211 remainder 1E+380 0 -> NaN Invalid_operation\r | |
199 | \r | |
200 | -- some differences from remainderNear\r | |
201 | ddrem231 remainder -0.4 1.020 -> -0.400\r | |
202 | ddrem232 remainder -0.50 1.020 -> -0.500\r | |
203 | ddrem233 remainder -0.51 1.020 -> -0.510\r | |
204 | ddrem234 remainder -0.52 1.020 -> -0.520\r | |
205 | ddrem235 remainder -0.6 1.020 -> -0.600\r | |
206 | \r | |
207 | -- high Xs\r | |
208 | ddrem240 remainder 1E+2 1.00 -> 0.00\r | |
209 | \r | |
210 | -- ddrem3xx are from DiagBigDecimal\r | |
211 | ddrem301 remainder 1 3 -> 1\r | |
212 | ddrem302 remainder 5 5 -> 0\r | |
213 | ddrem303 remainder 13 10 -> 3\r | |
214 | ddrem304 remainder 13 50 -> 13\r | |
215 | ddrem305 remainder 13 100 -> 13\r | |
216 | ddrem306 remainder 13 1000 -> 13\r | |
217 | ddrem307 remainder .13 1 -> 0.13\r | |
218 | ddrem308 remainder 0.133 1 -> 0.133\r | |
219 | ddrem309 remainder 0.1033 1 -> 0.1033\r | |
220 | ddrem310 remainder 1.033 1 -> 0.033\r | |
221 | ddrem311 remainder 10.33 1 -> 0.33\r | |
222 | ddrem312 remainder 10.33 10 -> 0.33\r | |
223 | ddrem313 remainder 103.3 1 -> 0.3\r | |
224 | ddrem314 remainder 133 10 -> 3\r | |
225 | ddrem315 remainder 1033 10 -> 3\r | |
226 | ddrem316 remainder 1033 50 -> 33\r | |
227 | ddrem317 remainder 101.0 3 -> 2.0\r | |
228 | ddrem318 remainder 102.0 3 -> 0.0\r | |
229 | ddrem319 remainder 103.0 3 -> 1.0\r | |
230 | ddrem320 remainder 2.40 1 -> 0.40\r | |
231 | ddrem321 remainder 2.400 1 -> 0.400\r | |
232 | ddrem322 remainder 2.4 1 -> 0.4\r | |
233 | ddrem323 remainder 2.4 2 -> 0.4\r | |
234 | ddrem324 remainder 2.400 2 -> 0.400\r | |
235 | ddrem325 remainder 1 0.3 -> 0.1\r | |
236 | ddrem326 remainder 1 0.30 -> 0.10\r | |
237 | ddrem327 remainder 1 0.300 -> 0.100\r | |
238 | ddrem328 remainder 1 0.3000 -> 0.1000\r | |
239 | ddrem329 remainder 1.0 0.3 -> 0.1\r | |
240 | ddrem330 remainder 1.00 0.3 -> 0.10\r | |
241 | ddrem331 remainder 1.000 0.3 -> 0.100\r | |
242 | ddrem332 remainder 1.0000 0.3 -> 0.1000\r | |
243 | ddrem333 remainder 0.5 2 -> 0.5\r | |
244 | ddrem334 remainder 0.5 2.1 -> 0.5\r | |
245 | ddrem335 remainder 0.5 2.01 -> 0.50\r | |
246 | ddrem336 remainder 0.5 2.001 -> 0.500\r | |
247 | ddrem337 remainder 0.50 2 -> 0.50\r | |
248 | ddrem338 remainder 0.50 2.01 -> 0.50\r | |
249 | ddrem339 remainder 0.50 2.001 -> 0.500\r | |
250 | \r | |
251 | ddrem340 remainder 0.5 0.5000001 -> 0.5000000\r | |
252 | ddrem341 remainder 0.5 0.50000001 -> 0.50000000\r | |
253 | ddrem342 remainder 0.5 0.500000001 -> 0.500000000\r | |
254 | ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000\r | |
255 | ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000\r | |
256 | ddrem345 remainder 0.5 0.4999999 -> 1E-7\r | |
257 | ddrem346 remainder 0.5 0.49999999 -> 1E-8\r | |
258 | ddrem347 remainder 0.5 0.499999999 -> 1E-9\r | |
259 | ddrem348 remainder 0.5 0.4999999999 -> 1E-10\r | |
260 | ddrem349 remainder 0.5 0.49999999999 -> 1E-11\r | |
261 | ddrem350 remainder 0.5 0.499999999999 -> 1E-12\r | |
262 | \r | |
263 | ddrem351 remainder 0.03 7 -> 0.03\r | |
264 | ddrem352 remainder 5 2 -> 1\r | |
265 | ddrem353 remainder 4.1 2 -> 0.1\r | |
266 | ddrem354 remainder 4.01 2 -> 0.01\r | |
267 | ddrem355 remainder 4.001 2 -> 0.001\r | |
268 | ddrem356 remainder 4.0001 2 -> 0.0001\r | |
269 | ddrem357 remainder 4.00001 2 -> 0.00001\r | |
270 | ddrem358 remainder 4.000001 2 -> 0.000001\r | |
271 | ddrem359 remainder 4.0000001 2 -> 1E-7\r | |
272 | \r | |
273 | ddrem360 remainder 1.2 0.7345 -> 0.4655\r | |
274 | ddrem361 remainder 0.8 12 -> 0.8\r | |
275 | ddrem362 remainder 0.8 0.2 -> 0.0\r | |
276 | ddrem363 remainder 0.8 0.3 -> 0.2\r | |
277 | ddrem364 remainder 0.800 12 -> 0.800\r | |
278 | ddrem365 remainder 0.800 1.7 -> 0.800\r | |
279 | ddrem366 remainder 2.400 2 -> 0.400\r | |
280 | \r | |
281 | ddrem371 remainder 2.400 2 -> 0.400\r | |
282 | \r | |
283 | ddrem381 remainder 12345 1 -> 0\r | |
284 | ddrem382 remainder 12345 1.0001 -> 0.7657\r | |
285 | ddrem383 remainder 12345 1.001 -> 0.668\r | |
286 | ddrem384 remainder 12345 1.01 -> 0.78\r | |
287 | ddrem385 remainder 12345 1.1 -> 0.8\r | |
288 | ddrem386 remainder 12355 4 -> 3\r | |
289 | ddrem387 remainder 12345 4 -> 1\r | |
290 | ddrem388 remainder 12355 4.0001 -> 2.6912\r | |
291 | ddrem389 remainder 12345 4.0001 -> 0.6914\r | |
292 | ddrem390 remainder 12345 4.9 -> 1.9\r | |
293 | ddrem391 remainder 12345 4.99 -> 4.73\r | |
294 | ddrem392 remainder 12345 4.999 -> 2.469\r | |
295 | ddrem393 remainder 12345 4.9999 -> 0.2469\r | |
296 | ddrem394 remainder 12345 5 -> 0\r | |
297 | ddrem395 remainder 12345 5.0001 -> 4.7532\r | |
298 | ddrem396 remainder 12345 5.001 -> 2.532\r | |
299 | ddrem397 remainder 12345 5.01 -> 0.36\r | |
300 | ddrem398 remainder 12345 5.1 -> 3.0\r | |
301 | \r | |
302 | -- the nasty division-by-1 cases\r | |
303 | ddrem401 remainder 0.5 1 -> 0.5\r | |
304 | ddrem402 remainder 0.55 1 -> 0.55\r | |
305 | ddrem403 remainder 0.555 1 -> 0.555\r | |
306 | ddrem404 remainder 0.5555 1 -> 0.5555\r | |
307 | ddrem405 remainder 0.55555 1 -> 0.55555\r | |
308 | ddrem406 remainder 0.555555 1 -> 0.555555\r | |
309 | ddrem407 remainder 0.5555555 1 -> 0.5555555\r | |
310 | ddrem408 remainder 0.55555555 1 -> 0.55555555\r | |
311 | ddrem409 remainder 0.555555555 1 -> 0.555555555\r | |
312 | \r | |
313 | -- folddowns\r | |
314 | ddrem421 remainder 1E+384 1 -> NaN Division_impossible\r | |
315 | ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped\r | |
316 | ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped\r | |
317 | ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped\r | |
318 | ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped\r | |
319 | ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped\r | |
320 | ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped\r | |
321 | ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped\r | |
322 | ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped\r | |
323 | ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped\r | |
324 | -- tinies\r | |
325 | ddrem431 remainder 1E-397 1E-398 -> 0E-398\r | |
326 | ddrem432 remainder 1E-397 2E-398 -> 0E-398\r | |
327 | ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal\r | |
328 | ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal\r | |
329 | ddrem435 remainder 1E-397 5E-398 -> 0E-398\r | |
330 | ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal\r | |
331 | ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal\r | |
332 | ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal\r | |
333 | ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal\r | |
334 | ddrem440 remainder 1E-397 10E-398 -> 0E-398\r | |
335 | ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal\r | |
336 | ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal\r | |
337 | ddrem443 remainder 100E-397 20E-398 -> 0E-398\r | |
338 | ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal\r | |
339 | ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal\r | |
340 | \r | |
341 | -- zero signs\r | |
342 | ddrem650 remainder 1 1 -> 0\r | |
343 | ddrem651 remainder -1 1 -> -0\r | |
344 | ddrem652 remainder 1 -1 -> 0\r | |
345 | ddrem653 remainder -1 -1 -> -0\r | |
346 | ddrem654 remainder 0 1 -> 0\r | |
347 | ddrem655 remainder -0 1 -> -0\r | |
348 | ddrem656 remainder 0 -1 -> 0\r | |
349 | ddrem657 remainder -0 -1 -> -0\r | |
350 | ddrem658 remainder 0.00 1 -> 0.00\r | |
351 | ddrem659 remainder -0.00 1 -> -0.00\r | |
352 | \r | |
353 | -- Specials\r | |
354 | ddrem680 remainder Inf -Inf -> NaN Invalid_operation\r | |
355 | ddrem681 remainder Inf -1000 -> NaN Invalid_operation\r | |
356 | ddrem682 remainder Inf -1 -> NaN Invalid_operation\r | |
357 | ddrem683 remainder Inf 0 -> NaN Invalid_operation\r | |
358 | ddrem684 remainder Inf -0 -> NaN Invalid_operation\r | |
359 | ddrem685 remainder Inf 1 -> NaN Invalid_operation\r | |
360 | ddrem686 remainder Inf 1000 -> NaN Invalid_operation\r | |
361 | ddrem687 remainder Inf Inf -> NaN Invalid_operation\r | |
362 | ddrem688 remainder -1000 Inf -> -1000\r | |
363 | ddrem689 remainder -Inf Inf -> NaN Invalid_operation\r | |
364 | ddrem691 remainder -1 Inf -> -1\r | |
365 | ddrem692 remainder 0 Inf -> 0\r | |
366 | ddrem693 remainder -0 Inf -> -0\r | |
367 | ddrem694 remainder 1 Inf -> 1\r | |
368 | ddrem695 remainder 1000 Inf -> 1000\r | |
369 | ddrem696 remainder Inf Inf -> NaN Invalid_operation\r | |
370 | \r | |
371 | ddrem700 remainder -Inf -Inf -> NaN Invalid_operation\r | |
372 | ddrem701 remainder -Inf -1000 -> NaN Invalid_operation\r | |
373 | ddrem702 remainder -Inf -1 -> NaN Invalid_operation\r | |
374 | ddrem703 remainder -Inf -0 -> NaN Invalid_operation\r | |
375 | ddrem704 remainder -Inf 0 -> NaN Invalid_operation\r | |
376 | ddrem705 remainder -Inf 1 -> NaN Invalid_operation\r | |
377 | ddrem706 remainder -Inf 1000 -> NaN Invalid_operation\r | |
378 | ddrem707 remainder -Inf Inf -> NaN Invalid_operation\r | |
379 | ddrem708 remainder -Inf -Inf -> NaN Invalid_operation\r | |
380 | ddrem709 remainder -1000 Inf -> -1000\r | |
381 | ddrem710 remainder -1 -Inf -> -1\r | |
382 | ddrem711 remainder -0 -Inf -> -0\r | |
383 | ddrem712 remainder 0 -Inf -> 0\r | |
384 | ddrem713 remainder 1 -Inf -> 1\r | |
385 | ddrem714 remainder 1000 -Inf -> 1000\r | |
386 | ddrem715 remainder Inf -Inf -> NaN Invalid_operation\r | |
387 | \r | |
388 | ddrem721 remainder NaN -Inf -> NaN\r | |
389 | ddrem722 remainder NaN -1000 -> NaN\r | |
390 | ddrem723 remainder NaN -1 -> NaN\r | |
391 | ddrem724 remainder NaN -0 -> NaN\r | |
392 | ddrem725 remainder -NaN 0 -> -NaN\r | |
393 | ddrem726 remainder NaN 1 -> NaN\r | |
394 | ddrem727 remainder NaN 1000 -> NaN\r | |
395 | ddrem728 remainder NaN Inf -> NaN\r | |
396 | ddrem729 remainder NaN -NaN -> NaN\r | |
397 | ddrem730 remainder -Inf NaN -> NaN\r | |
398 | ddrem731 remainder -1000 NaN -> NaN\r | |
399 | ddrem732 remainder -1 NaN -> NaN\r | |
400 | ddrem733 remainder -0 -NaN -> -NaN\r | |
401 | ddrem734 remainder 0 NaN -> NaN\r | |
402 | ddrem735 remainder 1 -NaN -> -NaN\r | |
403 | ddrem736 remainder 1000 NaN -> NaN\r | |
404 | ddrem737 remainder Inf NaN -> NaN\r | |
405 | \r | |
406 | ddrem741 remainder sNaN -Inf -> NaN Invalid_operation\r | |
407 | ddrem742 remainder sNaN -1000 -> NaN Invalid_operation\r | |
408 | ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation\r | |
409 | ddrem744 remainder sNaN -0 -> NaN Invalid_operation\r | |
410 | ddrem745 remainder sNaN 0 -> NaN Invalid_operation\r | |
411 | ddrem746 remainder sNaN 1 -> NaN Invalid_operation\r | |
412 | ddrem747 remainder sNaN 1000 -> NaN Invalid_operation\r | |
413 | ddrem749 remainder sNaN NaN -> NaN Invalid_operation\r | |
414 | ddrem750 remainder sNaN sNaN -> NaN Invalid_operation\r | |
415 | ddrem751 remainder NaN sNaN -> NaN Invalid_operation\r | |
416 | ddrem752 remainder -Inf sNaN -> NaN Invalid_operation\r | |
417 | ddrem753 remainder -1000 sNaN -> NaN Invalid_operation\r | |
418 | ddrem754 remainder -1 sNaN -> NaN Invalid_operation\r | |
419 | ddrem755 remainder -0 sNaN -> NaN Invalid_operation\r | |
420 | ddrem756 remainder 0 sNaN -> NaN Invalid_operation\r | |
421 | ddrem757 remainder 1 sNaN -> NaN Invalid_operation\r | |
422 | ddrem758 remainder 1000 sNaN -> NaN Invalid_operation\r | |
423 | ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation\r | |
424 | \r | |
425 | -- propaging NaNs\r | |
426 | ddrem760 remainder NaN1 NaN7 -> NaN1\r | |
427 | ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation\r | |
428 | ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation\r | |
429 | ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation\r | |
430 | ddrem764 remainder 15 NaN11 -> NaN11\r | |
431 | ddrem765 remainder NaN6 NaN12 -> NaN6\r | |
432 | ddrem766 remainder Inf NaN13 -> NaN13\r | |
433 | ddrem767 remainder NaN14 -Inf -> NaN14\r | |
434 | ddrem768 remainder 0 NaN15 -> NaN15\r | |
435 | ddrem769 remainder NaN16 -0 -> NaN16\r | |
436 | \r | |
437 | -- edge cases of impossible\r | |
438 | ddrem770 remainder 1234567890123456 10 -> 6\r | |
439 | ddrem771 remainder 1234567890123456 1 -> 0\r | |
440 | ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible\r | |
441 | ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible\r | |
442 | \r | |
443 | -- long operand checks\r | |
444 | ddrem801 remainder 12345678000 100 -> 0\r | |
445 | ddrem802 remainder 1 12345678000 -> 1\r | |
446 | ddrem803 remainder 1234567800 10 -> 0\r | |
447 | ddrem804 remainder 1 1234567800 -> 1\r | |
448 | ddrem805 remainder 1234567890 10 -> 0\r | |
449 | ddrem806 remainder 1 1234567890 -> 1\r | |
450 | ddrem807 remainder 1234567891 10 -> 1\r | |
451 | ddrem808 remainder 1 1234567891 -> 1\r | |
452 | ddrem809 remainder 12345678901 100 -> 1\r | |
453 | ddrem810 remainder 1 12345678901 -> 1\r | |
454 | ddrem811 remainder 1234567896 10 -> 6\r | |
455 | ddrem812 remainder 1 1234567896 -> 1\r | |
456 | \r | |
457 | ddrem821 remainder 12345678000 100 -> 0\r | |
458 | ddrem822 remainder 1 12345678000 -> 1\r | |
459 | ddrem823 remainder 1234567800 10 -> 0\r | |
460 | ddrem824 remainder 1 1234567800 -> 1\r | |
461 | ddrem825 remainder 1234567890 10 -> 0\r | |
462 | ddrem826 remainder 1 1234567890 -> 1\r | |
463 | ddrem827 remainder 1234567891 10 -> 1\r | |
464 | ddrem828 remainder 1 1234567891 -> 1\r | |
465 | ddrem829 remainder 12345678901 100 -> 1\r | |
466 | ddrem830 remainder 1 12345678901 -> 1\r | |
467 | ddrem831 remainder 1234567896 10 -> 6\r | |
468 | ddrem832 remainder 1 1234567896 -> 1\r | |
469 | \r | |
470 | -- from divideint\r | |
471 | ddrem840 remainder 100000000.0 1 -> 0.0\r | |
472 | ddrem841 remainder 100000000.4 1 -> 0.4\r | |
473 | ddrem842 remainder 100000000.5 1 -> 0.5\r | |
474 | ddrem843 remainder 100000000.9 1 -> 0.9\r | |
475 | ddrem844 remainder 100000000.999 1 -> 0.999\r | |
476 | ddrem850 remainder 100000003 5 -> 3\r | |
477 | ddrem851 remainder 10000003 5 -> 3\r | |
478 | ddrem852 remainder 1000003 5 -> 3\r | |
479 | ddrem853 remainder 100003 5 -> 3\r | |
480 | ddrem854 remainder 10003 5 -> 3\r | |
481 | ddrem855 remainder 1003 5 -> 3\r | |
482 | ddrem856 remainder 103 5 -> 3\r | |
483 | ddrem857 remainder 13 5 -> 3\r | |
484 | ddrem858 remainder 1 5 -> 1\r | |
485 | \r | |
486 | -- Vladimir's cases 1234567890123456\r | |
487 | ddrem860 remainder 123.0e1 1000000000000000 -> 1230\r | |
488 | ddrem861 remainder 1230 1000000000000000 -> 1230\r | |
489 | ddrem862 remainder 12.3e2 1000000000000000 -> 1230\r | |
490 | ddrem863 remainder 1.23e3 1000000000000000 -> 1230\r | |
491 | ddrem864 remainder 123e1 1000000000000000 -> 1230\r | |
492 | ddrem870 remainder 123e1 1000000000000000 -> 1230\r | |
493 | ddrem871 remainder 123e1 100000000000000 -> 1230\r | |
494 | ddrem872 remainder 123e1 10000000000000 -> 1230\r | |
495 | ddrem873 remainder 123e1 1000000000000 -> 1230\r | |
496 | ddrem874 remainder 123e1 100000000000 -> 1230\r | |
497 | ddrem875 remainder 123e1 10000000000 -> 1230\r | |
498 | ddrem876 remainder 123e1 1000000000 -> 1230\r | |
499 | ddrem877 remainder 123e1 100000000 -> 1230\r | |
500 | ddrem878 remainder 1230 100000000 -> 1230\r | |
501 | ddrem879 remainder 123e1 10000000 -> 1230\r | |
502 | ddrem880 remainder 123e1 1000000 -> 1230\r | |
503 | ddrem881 remainder 123e1 100000 -> 1230\r | |
504 | ddrem882 remainder 123e1 10000 -> 1230\r | |
505 | ddrem883 remainder 123e1 1000 -> 230\r | |
506 | ddrem884 remainder 123e1 100 -> 30\r | |
507 | ddrem885 remainder 123e1 10 -> 0\r | |
508 | ddrem886 remainder 123e1 1 -> 0\r | |
509 | \r | |
510 | ddrem890 remainder 123e1 2000000000000000 -> 1230\r | |
511 | ddrem891 remainder 123e1 200000000000000 -> 1230\r | |
512 | ddrem892 remainder 123e1 20000000000000 -> 1230\r | |
513 | ddrem893 remainder 123e1 2000000000000 -> 1230\r | |
514 | ddrem894 remainder 123e1 200000000000 -> 1230\r | |
515 | ddrem895 remainder 123e1 20000000000 -> 1230\r | |
516 | ddrem896 remainder 123e1 2000000000 -> 1230\r | |
517 | ddrem897 remainder 123e1 200000000 -> 1230\r | |
518 | ddrem899 remainder 123e1 20000000 -> 1230\r | |
519 | ddrem900 remainder 123e1 2000000 -> 1230\r | |
520 | ddrem901 remainder 123e1 200000 -> 1230\r | |
521 | ddrem902 remainder 123e1 20000 -> 1230\r | |
522 | ddrem903 remainder 123e1 2000 -> 1230\r | |
523 | ddrem904 remainder 123e1 200 -> 30\r | |
524 | ddrem905 remainder 123e1 20 -> 10\r | |
525 | ddrem906 remainder 123e1 2 -> 0\r | |
526 | \r | |
527 | ddrem910 remainder 123e1 5000000000000000 -> 1230\r | |
528 | ddrem911 remainder 123e1 500000000000000 -> 1230\r | |
529 | ddrem912 remainder 123e1 50000000000000 -> 1230\r | |
530 | ddrem913 remainder 123e1 5000000000000 -> 1230\r | |
531 | ddrem914 remainder 123e1 500000000000 -> 1230\r | |
532 | ddrem915 remainder 123e1 50000000000 -> 1230\r | |
533 | ddrem916 remainder 123e1 5000000000 -> 1230\r | |
534 | ddrem917 remainder 123e1 500000000 -> 1230\r | |
535 | ddrem919 remainder 123e1 50000000 -> 1230\r | |
536 | ddrem920 remainder 123e1 5000000 -> 1230\r | |
537 | ddrem921 remainder 123e1 500000 -> 1230\r | |
538 | ddrem922 remainder 123e1 50000 -> 1230\r | |
539 | ddrem923 remainder 123e1 5000 -> 1230\r | |
540 | ddrem924 remainder 123e1 500 -> 230\r | |
541 | ddrem925 remainder 123e1 50 -> 30\r | |
542 | ddrem926 remainder 123e1 5 -> 0\r | |
543 | \r | |
544 | ddrem930 remainder 123e1 9000000000000000 -> 1230\r | |
545 | ddrem931 remainder 123e1 900000000000000 -> 1230\r | |
546 | ddrem932 remainder 123e1 90000000000000 -> 1230\r | |
547 | ddrem933 remainder 123e1 9000000000000 -> 1230\r | |
548 | ddrem934 remainder 123e1 900000000000 -> 1230\r | |
549 | ddrem935 remainder 123e1 90000000000 -> 1230\r | |
550 | ddrem936 remainder 123e1 9000000000 -> 1230\r | |
551 | ddrem937 remainder 123e1 900000000 -> 1230\r | |
552 | ddrem939 remainder 123e1 90000000 -> 1230\r | |
553 | ddrem940 remainder 123e1 9000000 -> 1230\r | |
554 | ddrem941 remainder 123e1 900000 -> 1230\r | |
555 | ddrem942 remainder 123e1 90000 -> 1230\r | |
556 | ddrem943 remainder 123e1 9000 -> 1230\r | |
557 | ddrem944 remainder 123e1 900 -> 330\r | |
558 | ddrem945 remainder 123e1 90 -> 60\r | |
559 | ddrem946 remainder 123e1 9 -> 6\r | |
560 | \r | |
561 | ddrem950 remainder 123e1 1000000000000000 -> 1230\r | |
562 | ddrem961 remainder 123e1 2999999999999999 -> 1230\r | |
563 | ddrem962 remainder 123e1 3999999999999999 -> 1230\r | |
564 | ddrem963 remainder 123e1 4999999999999999 -> 1230\r | |
565 | ddrem964 remainder 123e1 5999999999999999 -> 1230\r | |
566 | ddrem965 remainder 123e1 6999999999999999 -> 1230\r | |
567 | ddrem966 remainder 123e1 7999999999999999 -> 1230\r | |
568 | ddrem967 remainder 123e1 8999999999999999 -> 1230\r | |
569 | ddrem968 remainder 123e1 9999999999999999 -> 1230\r | |
570 | ddrem969 remainder 123e1 9876543210987654 -> 1230\r | |
571 | \r | |
572 | ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally\r | |
573 | \r | |
574 | -- overflow and underflow tests [from divide]\r | |
575 | ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible\r | |
576 | ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible\r | |
577 | ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible\r | |
578 | ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible\r | |
579 | ddrem1055 remainder 1e-277 1e+311 -> 1E-277\r | |
580 | ddrem1056 remainder 1e-277 -1e+311 -> 1E-277\r | |
581 | ddrem1057 remainder -1e-277 1e+311 -> -1E-277\r | |
582 | ddrem1058 remainder -1e-277 -1e+311 -> -1E-277\r | |
583 | \r | |
584 | -- destructive subtract\r | |
585 | ddrem1101 remainder 1234567890123456 1.000000000000001 -> 0.765432109876546\r | |
586 | ddrem1102 remainder 1234567890123456 1.00000000000001 -> 0.65432109876557\r | |
587 | ddrem1103 remainder 1234567890123456 1.0000000000001 -> 0.5432109876668\r | |
588 | ddrem1104 remainder 1234567890123455 4.000000000000001 -> 2.691358027469137\r | |
589 | ddrem1105 remainder 1234567890123456 4.000000000000001 -> 3.691358027469137\r | |
590 | ddrem1106 remainder 1234567890123456 4.9999999999999 -> 0.6913578024696\r | |
591 | ddrem1107 remainder 1234567890123456 4.99999999999999 -> 3.46913578024691\r | |
592 | ddrem1108 remainder 1234567890123456 4.999999999999999 -> 1.246913578024691\r | |
593 | ddrem1109 remainder 1234567890123456 5.000000000000001 -> 0.753086421975309\r | |
594 | ddrem1110 remainder 1234567890123456 5.00000000000001 -> 3.53086421975310\r | |
595 | ddrem1111 remainder 1234567890123456 5.0000000000001 -> 1.3086421975314\r | |
596 | \r | |
597 | -- Null tests\r | |
598 | ddrem1000 remainder 10 # -> NaN Invalid_operation\r | |
599 | ddrem1001 remainder # 10 -> NaN Invalid_operation\r | |
600 | \r |