| blob | b850626fe4e04d6699bd77a42f5efcf9f9106c39 |
1 ------------------------------------------------------------------------\r
2 -- dqRemainderNear.decTest -- decQuad remainder-near --\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 dqrmn001 remaindernear 1 1 -> 0\r
31 dqrmn002 remaindernear 2 1 -> 0\r
32 dqrmn003 remaindernear 1 2 -> 1\r
33 dqrmn004 remaindernear 2 2 -> 0\r
34 dqrmn005 remaindernear 0 1 -> 0\r
35 dqrmn006 remaindernear 0 2 -> 0\r
36 dqrmn007 remaindernear 1 3 -> 1\r
37 dqrmn008 remaindernear 2 3 -> -1\r
38 dqrmn009 remaindernear 3 3 -> 0\r
39 \r
40 dqrmn010 remaindernear 2.4 1 -> 0.4\r
41 dqrmn011 remaindernear 2.4 -1 -> 0.4\r
42 dqrmn012 remaindernear -2.4 1 -> -0.4\r
43 dqrmn013 remaindernear -2.4 -1 -> -0.4\r
44 dqrmn014 remaindernear 2.40 1 -> 0.40\r
45 dqrmn015 remaindernear 2.400 1 -> 0.400\r
46 dqrmn016 remaindernear 2.4 2 -> 0.4\r
47 dqrmn017 remaindernear 2.400 2 -> 0.400\r
48 dqrmn018 remaindernear 2. 2 -> 0\r
49 dqrmn019 remaindernear 20 20 -> 0\r
50 \r
51 dqrmn020 remaindernear 187 187 -> 0\r
52 dqrmn021 remaindernear 5 2 -> 1\r
53 dqrmn022 remaindernear 5 2.0 -> 1.0\r
54 dqrmn023 remaindernear 5 2.000 -> 1.000\r
55 dqrmn024 remaindernear 5 0.200 -> 0.000\r
56 dqrmn025 remaindernear 5 0.200 -> 0.000\r
57 \r
58 dqrmn030 remaindernear 1 2 -> 1\r
59 dqrmn031 remaindernear 1 4 -> 1\r
60 dqrmn032 remaindernear 1 8 -> 1\r
61 \r
62 dqrmn033 remaindernear 1 16 -> 1\r
63 dqrmn034 remaindernear 1 32 -> 1\r
64 dqrmn035 remaindernear 1 64 -> 1\r
65 dqrmn040 remaindernear 1 -2 -> 1\r
66 dqrmn041 remaindernear 1 -4 -> 1\r
67 dqrmn042 remaindernear 1 -8 -> 1\r
68 dqrmn043 remaindernear 1 -16 -> 1\r
69 dqrmn044 remaindernear 1 -32 -> 1\r
70 dqrmn045 remaindernear 1 -64 -> 1\r
71 dqrmn050 remaindernear -1 2 -> -1\r
72 dqrmn051 remaindernear -1 4 -> -1\r
73 dqrmn052 remaindernear -1 8 -> -1\r
74 dqrmn053 remaindernear -1 16 -> -1\r
75 dqrmn054 remaindernear -1 32 -> -1\r
76 dqrmn055 remaindernear -1 64 -> -1\r
77 dqrmn060 remaindernear -1 -2 -> -1\r
78 dqrmn061 remaindernear -1 -4 -> -1\r
79 dqrmn062 remaindernear -1 -8 -> -1\r
80 dqrmn063 remaindernear -1 -16 -> -1\r
81 dqrmn064 remaindernear -1 -32 -> -1\r
82 dqrmn065 remaindernear -1 -64 -> -1\r
83 \r
84 dqrmn066 remaindernear 9.9 1 -> -0.1\r
85 dqrmn067 remaindernear 99.7 1 -> -0.3\r
86 dqrmn068 remaindernear 999999999 1 -> 0\r
87 dqrmn069 remaindernear 999999999.4 1 -> 0.4\r
88 dqrmn070 remaindernear 999999999.5 1 -> -0.5\r
89 dqrmn071 remaindernear 999999999.9 1 -> -0.1\r
90 dqrmn072 remaindernear 999999999.999 1 -> -0.001\r
91 dqrmn073 remaindernear 999999.999999 1 -> -0.000001\r
92 dqrmn074 remaindernear 9 1 -> 0\r
93 dqrmn075 remaindernear 9999999999999999 1 -> 0\r
94 dqrmn076 remaindernear 9999999999999999 2 -> -1\r
95 dqrmn077 remaindernear 9999999999999999 3 -> 0\r
96 dqrmn078 remaindernear 9999999999999999 4 -> -1\r
97 \r
98 dqrmn080 remaindernear 0. 1 -> 0\r
99 dqrmn081 remaindernear .0 1 -> 0.0\r
100 dqrmn082 remaindernear 0.00 1 -> 0.00\r
101 dqrmn083 remaindernear 0.00E+9 1 -> 0\r
102 dqrmn084 remaindernear 0.00E+3 1 -> 0\r
103 dqrmn085 remaindernear 0.00E+2 1 -> 0\r
104 dqrmn086 remaindernear 0.00E+1 1 -> 0.0\r
105 dqrmn087 remaindernear 0.00E+0 1 -> 0.00\r
106 dqrmn088 remaindernear 0.00E-0 1 -> 0.00\r
107 dqrmn089 remaindernear 0.00E-1 1 -> 0.000\r
108 dqrmn090 remaindernear 0.00E-2 1 -> 0.0000\r
109 dqrmn091 remaindernear 0.00E-3 1 -> 0.00000\r
110 dqrmn092 remaindernear 0.00E-4 1 -> 0.000000\r
111 dqrmn093 remaindernear 0.00E-5 1 -> 0E-7\r
112 dqrmn094 remaindernear 0.00E-6 1 -> 0E-8\r
113 dqrmn095 remaindernear 0.0000E-50 1 -> 0E-54\r
114 \r
115 -- Various flavours of remaindernear by 0\r
116 dqrmn101 remaindernear 0 0 -> NaN Division_undefined\r
117 dqrmn102 remaindernear 0 -0 -> NaN Division_undefined\r
118 dqrmn103 remaindernear -0 0 -> NaN Division_undefined\r
119 dqrmn104 remaindernear -0 -0 -> NaN Division_undefined\r
120 dqrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined\r
121 dqrmn106 remaindernear 0.000 0 -> NaN Division_undefined\r
122 -- [Some think this next group should be Division_by_zero exception, but\r
123 -- IEEE 854 is explicit that it is Invalid operation .. for\r
124 -- remainder-near, anyway]\r
125 dqrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation\r
126 dqrmn108 remaindernear 0.01 0 -> NaN Invalid_operation\r
127 dqrmn109 remaindernear 0.1 0 -> NaN Invalid_operation\r
128 dqrmn110 remaindernear 1 0 -> NaN Invalid_operation\r
129 dqrmn111 remaindernear 1 0.0 -> NaN Invalid_operation\r
130 dqrmn112 remaindernear 10 0.0 -> NaN Invalid_operation\r
131 dqrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation\r
132 dqrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation\r
133 dqrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation\r
134 dqrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation\r
135 dqrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation\r
136 dqrmn120 remaindernear 1 -0 -> NaN Invalid_operation\r
137 dqrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation\r
138 dqrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation\r
139 dqrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation\r
140 dqrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation\r
141 -- and zeros on left\r
142 dqrmn130 remaindernear 0 1 -> 0\r
143 dqrmn131 remaindernear 0 -1 -> 0\r
144 dqrmn132 remaindernear 0.0 1 -> 0.0\r
145 dqrmn133 remaindernear 0.0 -1 -> 0.0\r
146 dqrmn134 remaindernear -0 1 -> -0\r
147 dqrmn135 remaindernear -0 -1 -> -0\r
148 dqrmn136 remaindernear -0.0 1 -> -0.0\r
149 dqrmn137 remaindernear -0.0 -1 -> -0.0\r
150 \r
151 -- 0.5ers\r
152 dqrmn143 remaindernear 0.5 2 -> 0.5\r
153 dqrmn144 remaindernear 0.5 2.1 -> 0.5\r
154 dqrmn145 remaindernear 0.5 2.01 -> 0.50\r
155 dqrmn146 remaindernear 0.5 2.001 -> 0.500\r
156 dqrmn147 remaindernear 0.50 2 -> 0.50\r
157 dqrmn148 remaindernear 0.50 2.01 -> 0.50\r
158 dqrmn149 remaindernear 0.50 2.001 -> 0.500\r
159 \r
160 -- steadies\r
161 dqrmn150 remaindernear 1 1 -> 0\r
162 dqrmn151 remaindernear 1 2 -> 1\r
163 dqrmn152 remaindernear 1 3 -> 1\r
164 dqrmn153 remaindernear 1 4 -> 1\r
165 dqrmn154 remaindernear 1 5 -> 1\r
166 dqrmn155 remaindernear 1 6 -> 1\r
167 dqrmn156 remaindernear 1 7 -> 1\r
168 dqrmn157 remaindernear 1 8 -> 1\r
169 dqrmn158 remaindernear 1 9 -> 1\r
170 dqrmn159 remaindernear 1 10 -> 1\r
171 dqrmn160 remaindernear 1 1 -> 0\r
172 dqrmn161 remaindernear 2 1 -> 0\r
173 dqrmn162 remaindernear 3 1 -> 0\r
174 dqrmn163 remaindernear 4 1 -> 0\r
175 dqrmn164 remaindernear 5 1 -> 0\r
176 dqrmn165 remaindernear 6 1 -> 0\r
177 dqrmn166 remaindernear 7 1 -> 0\r
178 dqrmn167 remaindernear 8 1 -> 0\r
179 dqrmn168 remaindernear 9 1 -> 0\r
180 dqrmn169 remaindernear 10 1 -> 0\r
181 \r
182 -- some differences from remainder\r
183 dqrmn171 remaindernear 0.4 1.020 -> 0.400\r
184 dqrmn172 remaindernear 0.50 1.020 -> 0.500\r
185 dqrmn173 remaindernear 0.51 1.020 -> 0.510\r
186 dqrmn174 remaindernear 0.52 1.020 -> -0.500\r
187 dqrmn175 remaindernear 0.6 1.020 -> -0.420\r
188 \r
189 -- More flavours of remaindernear by 0\r
190 dqrmn201 remaindernear 0 0 -> NaN Division_undefined\r
191 dqrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined\r
192 dqrmn203 remaindernear 0.000 0 -> NaN Division_undefined\r
193 dqrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation\r
194 dqrmn205 remaindernear 0.01 0 -> NaN Invalid_operation\r
195 dqrmn206 remaindernear 0.1 0 -> NaN Invalid_operation\r
196 dqrmn207 remaindernear 1 0 -> NaN Invalid_operation\r
197 dqrmn208 remaindernear 1 0.0 -> NaN Invalid_operation\r
198 dqrmn209 remaindernear 10 0.0 -> NaN Invalid_operation\r
199 dqrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation\r
200 dqrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation\r
201 \r
202 -- tests from the extended specification\r
203 dqrmn221 remaindernear 2.1 3 -> -0.9\r
204 dqrmn222 remaindernear 10 6 -> -2\r
205 dqrmn223 remaindernear 10 3 -> 1\r
206 dqrmn224 remaindernear -10 3 -> -1\r
207 dqrmn225 remaindernear 10.2 1 -> 0.2\r
208 dqrmn226 remaindernear 10 0.3 -> 0.1\r
209 dqrmn227 remaindernear 3.6 1.3 -> -0.3\r
210 \r
211 -- some differences from remainder\r
212 dqrmn231 remaindernear -0.4 1.020 -> -0.400\r
213 dqrmn232 remaindernear -0.50 1.020 -> -0.500\r
214 dqrmn233 remaindernear -0.51 1.020 -> -0.510\r
215 dqrmn234 remaindernear -0.52 1.020 -> 0.500\r
216 dqrmn235 remaindernear -0.6 1.020 -> 0.420\r
217 \r
218 -- high Xs\r
219 dqrmn240 remaindernear 1E+2 1.00 -> 0.00\r
220 \r
221 -- dqrmn3xx are from DiagBigDecimal\r
222 dqrmn301 remaindernear 1 3 -> 1\r
223 dqrmn302 remaindernear 5 5 -> 0\r
224 dqrmn303 remaindernear 13 10 -> 3\r
225 dqrmn304 remaindernear 13 50 -> 13\r
226 dqrmn305 remaindernear 13 100 -> 13\r
227 dqrmn306 remaindernear 13 1000 -> 13\r
228 dqrmn307 remaindernear .13 1 -> 0.13\r
229 dqrmn308 remaindernear 0.133 1 -> 0.133\r
230 dqrmn309 remaindernear 0.1033 1 -> 0.1033\r
231 dqrmn310 remaindernear 1.033 1 -> 0.033\r
232 dqrmn311 remaindernear 10.33 1 -> 0.33\r
233 dqrmn312 remaindernear 10.33 10 -> 0.33\r
234 dqrmn313 remaindernear 103.3 1 -> 0.3\r
235 dqrmn314 remaindernear 133 10 -> 3\r
236 dqrmn315 remaindernear 1033 10 -> 3\r
237 dqrmn316 remaindernear 1033 50 -> -17\r
238 dqrmn317 remaindernear 101.0 3 -> -1.0\r
239 dqrmn318 remaindernear 102.0 3 -> 0.0\r
240 dqrmn319 remaindernear 103.0 3 -> 1.0\r
241 dqrmn320 remaindernear 2.40 1 -> 0.40\r
242 dqrmn321 remaindernear 2.400 1 -> 0.400\r
243 dqrmn322 remaindernear 2.4 1 -> 0.4\r
244 dqrmn323 remaindernear 2.4 2 -> 0.4\r
245 dqrmn324 remaindernear 2.400 2 -> 0.400\r
246 dqrmn325 remaindernear 1 0.3 -> 0.1\r
247 dqrmn326 remaindernear 1 0.30 -> 0.10\r
248 dqrmn327 remaindernear 1 0.300 -> 0.100\r
249 dqrmn328 remaindernear 1 0.3000 -> 0.1000\r
250 dqrmn329 remaindernear 1.0 0.3 -> 0.1\r
251 dqrmn330 remaindernear 1.00 0.3 -> 0.10\r
252 dqrmn331 remaindernear 1.000 0.3 -> 0.100\r
253 dqrmn332 remaindernear 1.0000 0.3 -> 0.1000\r
254 dqrmn333 remaindernear 0.5 2 -> 0.5\r
255 dqrmn334 remaindernear 0.5 2.1 -> 0.5\r
256 dqrmn335 remaindernear 0.5 2.01 -> 0.50\r
257 dqrmn336 remaindernear 0.5 2.001 -> 0.500\r
258 dqrmn337 remaindernear 0.50 2 -> 0.50\r
259 dqrmn338 remaindernear 0.50 2.01 -> 0.50\r
260 dqrmn339 remaindernear 0.50 2.001 -> 0.500\r
261 \r
262 dqrmn340 remaindernear 0.5 0.5000001 -> -1E-7\r
263 dqrmn341 remaindernear 0.5 0.50000001 -> -1E-8\r
264 dqrmn342 remaindernear 0.5 0.500000001 -> -1E-9\r
265 dqrmn343 remaindernear 0.5 0.5000000001 -> -1E-10\r
266 dqrmn344 remaindernear 0.5 0.50000000001 -> -1E-11\r
267 dqrmn345 remaindernear 0.5 0.4999999 -> 1E-7\r
268 dqrmn346 remaindernear 0.5 0.49999999 -> 1E-8\r
269 dqrmn347 remaindernear 0.5 0.499999999 -> 1E-9\r
270 dqrmn348 remaindernear 0.5 0.4999999999 -> 1E-10\r
271 dqrmn349 remaindernear 0.5 0.49999999999 -> 1E-11\r
272 dqrmn350 remaindernear 0.5 0.499999999999 -> 1E-12\r
273 \r
274 dqrmn351 remaindernear 0.03 7 -> 0.03\r
275 dqrmn352 remaindernear 5 2 -> 1\r
276 dqrmn353 remaindernear 4.1 2 -> 0.1\r
277 dqrmn354 remaindernear 4.01 2 -> 0.01\r
278 dqrmn355 remaindernear 4.001 2 -> 0.001\r
279 dqrmn356 remaindernear 4.0001 2 -> 0.0001\r
280 dqrmn357 remaindernear 4.00001 2 -> 0.00001\r
281 dqrmn358 remaindernear 4.000001 2 -> 0.000001\r
282 dqrmn359 remaindernear 4.0000001 2 -> 1E-7\r
283 \r
284 dqrmn360 remaindernear 1.2 0.7345 -> -0.2690\r
285 dqrmn361 remaindernear 0.8 12 -> 0.8\r
286 dqrmn362 remaindernear 0.8 0.2 -> 0.0\r
287 dqrmn363 remaindernear 0.8 0.3 -> -0.1\r
288 dqrmn364 remaindernear 0.800 12 -> 0.800\r
289 dqrmn365 remaindernear 0.800 1.7 -> 0.800\r
290 dqrmn366 remaindernear 2.400 2 -> 0.400\r
291 \r
292 -- round to even\r
293 dqrmn371 remaindernear 121 2 -> 1\r
294 dqrmn372 remaindernear 122 2 -> 0\r
295 dqrmn373 remaindernear 123 2 -> -1\r
296 dqrmn374 remaindernear 124 2 -> 0\r
297 dqrmn375 remaindernear 125 2 -> 1\r
298 dqrmn376 remaindernear 126 2 -> 0\r
299 dqrmn377 remaindernear 127 2 -> -1\r
300 \r
301 dqrmn381 remaindernear 12345 1 -> 0\r
302 dqrmn382 remaindernear 12345 1.0001 -> -0.2344\r
303 dqrmn383 remaindernear 12345 1.001 -> -0.333\r
304 dqrmn384 remaindernear 12345 1.01 -> -0.23\r
305 dqrmn385 remaindernear 12345 1.1 -> -0.3\r
306 dqrmn386 remaindernear 12355 4 -> -1\r
307 dqrmn387 remaindernear 12345 4 -> 1\r
308 dqrmn388 remaindernear 12355 4.0001 -> -1.3089\r
309 dqrmn389 remaindernear 12345 4.0001 -> 0.6914\r
310 dqrmn390 remaindernear 12345 4.9 -> 1.9\r
311 dqrmn391 remaindernear 12345 4.99 -> -0.26\r
312 dqrmn392 remaindernear 12345 4.999 -> 2.469\r
313 dqrmn393 remaindernear 12345 4.9999 -> 0.2469\r
314 dqrmn394 remaindernear 12345 5 -> 0\r
315 dqrmn395 remaindernear 12345 5.0001 -> -0.2469\r
316 dqrmn396 remaindernear 12345 5.001 -> -2.469\r
317 dqrmn397 remaindernear 12345 5.01 -> 0.36\r
318 dqrmn398 remaindernear 12345 5.1 -> -2.1\r
319 \r
320 -- the nasty division-by-1 cases\r
321 dqrmn401 remaindernear 0.4 1 -> 0.4\r
322 dqrmn402 remaindernear 0.45 1 -> 0.45\r
323 dqrmn403 remaindernear 0.455 1 -> 0.455\r
324 dqrmn404 remaindernear 0.4555 1 -> 0.4555\r
325 dqrmn405 remaindernear 0.45555 1 -> 0.45555\r
326 dqrmn406 remaindernear 0.455555 1 -> 0.455555\r
327 dqrmn407 remaindernear 0.4555555 1 -> 0.4555555\r
328 dqrmn408 remaindernear 0.45555555 1 -> 0.45555555\r
329 dqrmn409 remaindernear 0.455555555 1 -> 0.455555555\r
330 -- with spill... [412 exercises sticktab loop]\r
331 dqrmn411 remaindernear 0.5 1 -> 0.5\r
332 dqrmn412 remaindernear 0.55 1 -> -0.45\r
333 dqrmn413 remaindernear 0.555 1 -> -0.445\r
334 dqrmn414 remaindernear 0.5555 1 -> -0.4445\r
335 dqrmn415 remaindernear 0.55555 1 -> -0.44445\r
336 dqrmn416 remaindernear 0.555555 1 -> -0.444445\r
337 dqrmn417 remaindernear 0.5555555 1 -> -0.4444445\r
338 dqrmn418 remaindernear 0.55555555 1 -> -0.44444445\r
339 dqrmn419 remaindernear 0.555555555 1 -> -0.444444445\r
340 \r
341 -- folddowns\r
342 dqrmn421 remaindernear 1E+6144 1 -> NaN Division_impossible\r
343 dqrmn422 remaindernear 1E+6144 1E+6143 -> 0E+6111 Clamped\r
344 dqrmn423 remaindernear 1E+6144 2E+6143 -> 0E+6111 Clamped\r
345 dqrmn424 remaindernear 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped\r
346 dqrmn425 remaindernear 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped\r
347 dqrmn426 remaindernear 1E+6144 5E+6143 -> 0E+6111 Clamped\r
348 dqrmn427 remaindernear 1E+6144 6E+6143 -> -2.00000000000000000000000000000000E+6143 Clamped\r
349 dqrmn428 remaindernear 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped\r
350 dqrmn429 remaindernear 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped\r
351 dqrmn430 remaindernear 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped\r
352 -- tinies\r
353 dqrmn431 remaindernear 1E-6175 1E-6176 -> 0E-6176\r
354 dqrmn432 remaindernear 1E-6175 2E-6176 -> 0E-6176\r
355 dqrmn433 remaindernear 1E-6175 3E-6176 -> 1E-6176 Subnormal\r
356 dqrmn434 remaindernear 1E-6175 4E-6176 -> 2E-6176 Subnormal\r
357 dqrmn435 remaindernear 1E-6175 5E-6176 -> 0E-6176\r
358 dqrmn436 remaindernear 1E-6175 6E-6176 -> -2E-6176 Subnormal\r
359 dqrmn437 remaindernear 1E-6175 7E-6176 -> 3E-6176 Subnormal\r
360 dqrmn438 remaindernear 1E-6175 8E-6176 -> 2E-6176 Subnormal\r
361 dqrmn439 remaindernear 1E-6175 9E-6176 -> 1E-6176 Subnormal\r
362 dqrmn440 remaindernear 1E-6175 10E-6176 -> 0E-6176\r
363 dqrmn441 remaindernear 1E-6175 11E-6176 -> -1E-6176 Subnormal\r
364 dqrmn442 remaindernear 100E-6175 11E-6176 -> -1E-6176 Subnormal\r
365 dqrmn443 remaindernear 100E-6175 20E-6176 -> 0E-6176\r
366 dqrmn444 remaindernear 100E-6175 21E-6176 -> -8E-6176 Subnormal\r
367 dqrmn445 remaindernear 100E-6175 30E-6176 -> 1.0E-6175 Subnormal\r
368 \r
369 -- zero signs\r
370 dqrmn650 remaindernear 1 1 -> 0\r
371 dqrmn651 remaindernear -1 1 -> -0\r
372 dqrmn652 remaindernear 1 -1 -> 0\r
373 dqrmn653 remaindernear -1 -1 -> -0\r
374 dqrmn654 remaindernear 0 1 -> 0\r
375 dqrmn655 remaindernear -0 1 -> -0\r
376 dqrmn656 remaindernear 0 -1 -> 0\r
377 dqrmn657 remaindernear -0 -1 -> -0\r
378 dqrmn658 remaindernear 0.00 1 -> 0.00\r
379 dqrmn659 remaindernear -0.00 1 -> -0.00\r
380 \r
381 -- Specials\r
382 dqrmn680 remaindernear Inf -Inf -> NaN Invalid_operation\r
383 dqrmn681 remaindernear Inf -1000 -> NaN Invalid_operation\r
384 dqrmn682 remaindernear Inf -1 -> NaN Invalid_operation\r
385 dqrmn683 remaindernear Inf 0 -> NaN Invalid_operation\r
386 dqrmn684 remaindernear Inf -0 -> NaN Invalid_operation\r
387 dqrmn685 remaindernear Inf 1 -> NaN Invalid_operation\r
388 dqrmn686 remaindernear Inf 1000 -> NaN Invalid_operation\r
389 dqrmn687 remaindernear Inf Inf -> NaN Invalid_operation\r
390 dqrmn688 remaindernear -1000 Inf -> -1000\r
391 dqrmn689 remaindernear -Inf Inf -> NaN Invalid_operation\r
392 dqrmn691 remaindernear -1 Inf -> -1\r
393 dqrmn692 remaindernear 0 Inf -> 0\r
394 dqrmn693 remaindernear -0 Inf -> -0\r
395 dqrmn694 remaindernear 1 Inf -> 1\r
396 dqrmn695 remaindernear 1000 Inf -> 1000\r
397 dqrmn696 remaindernear Inf Inf -> NaN Invalid_operation\r
398 \r
399 dqrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation\r
400 dqrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation\r
401 dqrmn702 remaindernear -Inf -1 -> NaN Invalid_operation\r
402 dqrmn703 remaindernear -Inf -0 -> NaN Invalid_operation\r
403 dqrmn704 remaindernear -Inf 0 -> NaN Invalid_operation\r
404 dqrmn705 remaindernear -Inf 1 -> NaN Invalid_operation\r
405 dqrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation\r
406 dqrmn707 remaindernear -Inf Inf -> NaN Invalid_operation\r
407 dqrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation\r
408 dqrmn709 remaindernear -1000 Inf -> -1000\r
409 dqrmn710 remaindernear -1 -Inf -> -1\r
410 dqrmn711 remaindernear -0 -Inf -> -0\r
411 dqrmn712 remaindernear 0 -Inf -> 0\r
412 dqrmn713 remaindernear 1 -Inf -> 1\r
413 dqrmn714 remaindernear 1000 -Inf -> 1000\r
414 dqrmn715 remaindernear Inf -Inf -> NaN Invalid_operation\r
415 \r
416 dqrmn721 remaindernear NaN -Inf -> NaN\r
417 dqrmn722 remaindernear NaN -1000 -> NaN\r
418 dqrmn723 remaindernear NaN -1 -> NaN\r
419 dqrmn724 remaindernear NaN -0 -> NaN\r
420 dqrmn725 remaindernear -NaN 0 -> -NaN\r
421 dqrmn726 remaindernear NaN 1 -> NaN\r
422 dqrmn727 remaindernear NaN 1000 -> NaN\r
423 dqrmn728 remaindernear NaN Inf -> NaN\r
424 dqrmn729 remaindernear NaN -NaN -> NaN\r
425 dqrmn730 remaindernear -Inf NaN -> NaN\r
426 dqrmn731 remaindernear -1000 NaN -> NaN\r
427 dqrmn732 remaindernear -1 NaN -> NaN\r
428 dqrmn733 remaindernear -0 -NaN -> -NaN\r
429 dqrmn734 remaindernear 0 NaN -> NaN\r
430 dqrmn735 remaindernear 1 -NaN -> -NaN\r
431 dqrmn736 remaindernear 1000 NaN -> NaN\r
432 dqrmn737 remaindernear Inf NaN -> NaN\r
433 \r
434 dqrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation\r
435 dqrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation\r
436 dqrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation\r
437 dqrmn744 remaindernear sNaN -0 -> NaN Invalid_operation\r
438 dqrmn745 remaindernear sNaN 0 -> NaN Invalid_operation\r
439 dqrmn746 remaindernear sNaN 1 -> NaN Invalid_operation\r
440 dqrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation\r
441 dqrmn749 remaindernear sNaN NaN -> NaN Invalid_operation\r
442 dqrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation\r
443 dqrmn751 remaindernear NaN sNaN -> NaN Invalid_operation\r
444 dqrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation\r
445 dqrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation\r
446 dqrmn754 remaindernear -1 sNaN -> NaN Invalid_operation\r
447 dqrmn755 remaindernear -0 sNaN -> NaN Invalid_operation\r
448 dqrmn756 remaindernear 0 sNaN -> NaN Invalid_operation\r
449 dqrmn757 remaindernear 1 sNaN -> NaN Invalid_operation\r
450 dqrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation\r
451 dqrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation\r
452 \r
453 -- propaging NaNs\r
454 dqrmn760 remaindernear NaN1 NaN7 -> NaN1\r
455 dqrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation\r
456 dqrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation\r
457 dqrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation\r
458 dqrmn764 remaindernear 15 NaN11 -> NaN11\r
459 dqrmn765 remaindernear NaN6 NaN12 -> NaN6\r
460 dqrmn766 remaindernear Inf NaN13 -> NaN13\r
461 dqrmn767 remaindernear NaN14 -Inf -> NaN14\r
462 dqrmn768 remaindernear 0 NaN15 -> NaN15\r
463 dqrmn769 remaindernear NaN16 -0 -> NaN16\r
464 \r
465 -- edge cases of impossible\r
466 dqrmn770 remaindernear 1234500000000000000000067890123456 10 -> -4\r
467 dqrmn771 remaindernear 1234500000000000000000067890123456 1 -> 0\r
468 dqrmn772 remaindernear 1234500000000000000000067890123456 0.1 -> NaN Division_impossible\r
469 dqrmn773 remaindernear 1234500000000000000000067890123456 0.01 -> NaN Division_impossible\r
470 \r
471 -- long operand checks\r
472 dqrmn801 remaindernear 12345678000 100 -> 0\r
473 dqrmn802 remaindernear 1 12345678000 -> 1\r
474 dqrmn803 remaindernear 1234567800 10 -> 0\r
475 dqrmn804 remaindernear 1 1234567800 -> 1\r
476 dqrmn805 remaindernear 1234567890 10 -> 0\r
477 dqrmn806 remaindernear 1 1234567890 -> 1\r
478 dqrmn807 remaindernear 1234567891 10 -> 1\r
479 dqrmn808 remaindernear 1 1234567891 -> 1\r
480 dqrmn809 remaindernear 12345678901 100 -> 1\r
481 dqrmn810 remaindernear 1 12345678901 -> 1\r
482 dqrmn811 remaindernear 1234567896 10 -> -4\r
483 dqrmn812 remaindernear 1 1234567896 -> 1\r
484 \r
485 dqrmn821 remaindernear 12345678000 100 -> 0\r
486 dqrmn822 remaindernear 1 12345678000 -> 1\r
487 dqrmn823 remaindernear 1234567800 10 -> 0\r
488 dqrmn824 remaindernear 1 1234567800 -> 1\r
489 dqrmn825 remaindernear 1234567890 10 -> 0\r
490 dqrmn826 remaindernear 1 1234567890 -> 1\r
491 dqrmn827 remaindernear 1234567891 10 -> 1\r
492 dqrmn828 remaindernear 1 1234567891 -> 1\r
493 dqrmn829 remaindernear 12345678901 100 -> 1\r
494 dqrmn830 remaindernear 1 12345678901 -> 1\r
495 dqrmn831 remaindernear 1234567896 10 -> -4\r
496 dqrmn832 remaindernear 1 1234567896 -> 1\r
497 \r
498 -- from divideint\r
499 dqrmn840 remaindernear 100000000.0 1 -> 0.0\r
500 dqrmn841 remaindernear 100000000.4 1 -> 0.4\r
501 dqrmn842 remaindernear 100000000.5 1 -> 0.5\r
502 dqrmn843 remaindernear 100000000.9 1 -> -0.1\r
503 dqrmn844 remaindernear 100000000.999 1 -> -0.001\r
504 dqrmn850 remaindernear 100000003 5 -> -2\r
505 dqrmn851 remaindernear 10000003 5 -> -2\r
506 dqrmn852 remaindernear 1000003 5 -> -2\r
507 dqrmn853 remaindernear 100003 5 -> -2\r
508 dqrmn854 remaindernear 10003 5 -> -2\r
509 dqrmn855 remaindernear 1003 5 -> -2\r
510 dqrmn856 remaindernear 103 5 -> -2\r
511 dqrmn857 remaindernear 13 5 -> -2\r
512 dqrmn858 remaindernear 1 5 -> 1\r
513 \r
514 -- Vladimir's cases 1234567890123456\r
515 dqrmn860 remaindernear 123.0e1 1000000000000000 -> 1230\r
516 dqrmn861 remaindernear 1230 1000000000000000 -> 1230\r
517 dqrmn862 remaindernear 12.3e2 1000000000000000 -> 1230\r
518 dqrmn863 remaindernear 1.23e3 1000000000000000 -> 1230\r
519 dqrmn864 remaindernear 123e1 1000000000000000 -> 1230\r
520 dqrmn870 remaindernear 123e1 1000000000000000 -> 1230\r
521 dqrmn871 remaindernear 123e1 100000000000000 -> 1230\r
522 dqrmn872 remaindernear 123e1 10000000000000 -> 1230\r
523 dqrmn873 remaindernear 123e1 1000000000000 -> 1230\r
524 dqrmn874 remaindernear 123e1 100000000000 -> 1230\r
525 dqrmn875 remaindernear 123e1 10000000000 -> 1230\r
526 dqrmn876 remaindernear 123e1 1000000000 -> 1230\r
527 dqrmn877 remaindernear 123e1 100000000 -> 1230\r
528 dqrmn878 remaindernear 1230 100000000 -> 1230\r
529 dqrmn879 remaindernear 123e1 10000000 -> 1230\r
530 dqrmn880 remaindernear 123e1 1000000 -> 1230\r
531 dqrmn881 remaindernear 123e1 100000 -> 1230\r
532 dqrmn882 remaindernear 123e1 10000 -> 1230\r
533 dqrmn883 remaindernear 123e1 1000 -> 230\r
534 dqrmn884 remaindernear 123e1 100 -> 30\r
535 dqrmn885 remaindernear 123e1 10 -> 0\r
536 dqrmn886 remaindernear 123e1 1 -> 0\r
537 \r
538 dqrmn890 remaindernear 123e1 2000000000000000 -> 1230\r
539 dqrmn891 remaindernear 123e1 200000000000000 -> 1230\r
540 dqrmn892 remaindernear 123e1 20000000000000 -> 1230\r
541 dqrmn893 remaindernear 123e1 2000000000000 -> 1230\r
542 dqrmn894 remaindernear 123e1 200000000000 -> 1230\r
543 dqrmn895 remaindernear 123e1 20000000000 -> 1230\r
544 dqrmn896 remaindernear 123e1 2000000000 -> 1230\r
545 dqrmn897 remaindernear 123e1 200000000 -> 1230\r
546 dqrmn899 remaindernear 123e1 20000000 -> 1230\r
547 dqrmn900 remaindernear 123e1 2000000 -> 1230\r
548 dqrmn901 remaindernear 123e1 200000 -> 1230\r
549 dqrmn902 remaindernear 123e1 20000 -> 1230\r
550 dqrmn903 remaindernear 123e1 2000 -> -770\r
551 dqrmn904 remaindernear 123e1 200 -> 30\r
552 dqrmn905 remaindernear 123e1 20 -> -10\r
553 dqrmn906 remaindernear 123e1 2 -> 0\r
554 \r
555 dqrmn910 remaindernear 123e1 5000000000000000 -> 1230\r
556 dqrmn911 remaindernear 123e1 500000000000000 -> 1230\r
557 dqrmn912 remaindernear 123e1 50000000000000 -> 1230\r
558 dqrmn913 remaindernear 123e1 5000000000000 -> 1230\r
559 dqrmn914 remaindernear 123e1 500000000000 -> 1230\r
560 dqrmn915 remaindernear 123e1 50000000000 -> 1230\r
561 dqrmn916 remaindernear 123e1 5000000000 -> 1230\r
562 dqrmn917 remaindernear 123e1 500000000 -> 1230\r
563 dqrmn919 remaindernear 123e1 50000000 -> 1230\r
564 dqrmn920 remaindernear 123e1 5000000 -> 1230\r
565 dqrmn921 remaindernear 123e1 500000 -> 1230\r
566 dqrmn922 remaindernear 123e1 50000 -> 1230\r
567 dqrmn923 remaindernear 123e1 5000 -> 1230\r
568 dqrmn924 remaindernear 123e1 500 -> 230\r
569 dqrmn925 remaindernear 123e1 50 -> -20\r
570 dqrmn926 remaindernear 123e1 5 -> 0\r
571 \r
572 dqrmn930 remaindernear 123e1 9000000000000000 -> 1230\r
573 dqrmn931 remaindernear 123e1 900000000000000 -> 1230\r
574 dqrmn932 remaindernear 123e1 90000000000000 -> 1230\r
575 dqrmn933 remaindernear 123e1 9000000000000 -> 1230\r
576 dqrmn934 remaindernear 123e1 900000000000 -> 1230\r
577 dqrmn935 remaindernear 123e1 90000000000 -> 1230\r
578 dqrmn936 remaindernear 123e1 9000000000 -> 1230\r
579 dqrmn937 remaindernear 123e1 900000000 -> 1230\r
580 dqrmn939 remaindernear 123e1 90000000 -> 1230\r
581 dqrmn940 remaindernear 123e1 9000000 -> 1230\r
582 dqrmn941 remaindernear 123e1 900000 -> 1230\r
583 dqrmn942 remaindernear 123e1 90000 -> 1230\r
584 dqrmn943 remaindernear 123e1 9000 -> 1230\r
585 dqrmn944 remaindernear 123e1 900 -> 330\r
586 dqrmn945 remaindernear 123e1 90 -> -30\r
587 dqrmn946 remaindernear 123e1 9 -> -3\r
588 \r
589 dqrmn950 remaindernear 123e1 1000000000000000 -> 1230\r
590 dqrmn961 remaindernear 123e1 2999999999999999 -> 1230\r
591 dqrmn962 remaindernear 123e1 3999999999999999 -> 1230\r
592 dqrmn963 remaindernear 123e1 4999999999999999 -> 1230\r
593 dqrmn964 remaindernear 123e1 5999999999999999 -> 1230\r
594 dqrmn965 remaindernear 123e1 6999999999999999 -> 1230\r
595 dqrmn966 remaindernear 123e1 7999999999999999 -> 1230\r
596 dqrmn967 remaindernear 123e1 8999999999999999 -> 1230\r
597 dqrmn968 remaindernear 123e1 9999999999999999 -> 1230\r
598 dqrmn969 remaindernear 123e1 9876543210987654 -> 1230\r
599 \r
600 dqrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally\r
601 \r
602 -- overflow and underflow tests [from divide]\r
603 dqrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible\r
604 dqrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible\r
605 dqrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible\r
606 dqrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible\r
607 dqrmn1055 remaindernear 1e-277 1e+311 -> 1E-277\r
608 dqrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277\r
609 dqrmn1057 remaindernear -1e-277 1e+311 -> -1E-277\r
610 dqrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277\r
611 \r
612 -- Gyuris example\r
613 dqrmn1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143\r
614 \r
615 -- destructive subtract\r
616 dqrmn1101 remaindernear 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> -0.234567890123456789012345678901233\r
617 dqrmn1102 remaindernear 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> -0.34567890123456789012345678901222\r
618 dqrmn1103 remaindernear 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> -0.4567890123456789012345678901111\r
619 dqrmn1104 remaindernear 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> -1.308641972530864197253086419725314\r
620 dqrmn1105 remaindernear 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692\r
621 dqrmn1106 remaindernear 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> -1.3086421975308642197530864219748\r
622 dqrmn1107 remaindernear 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247\r
623 dqrmn1108 remaindernear 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> -0.753086421975308642197530864219753\r
624 dqrmn1109 remaindernear 1234567890123456789012345678901234 5.000000000000000000000000000000001 -> -1.246913578024691357802469135780247\r
625 dqrmn1110 remaindernear 1234567890123456789012345678901234 5.00000000000000000000000000000001 -> 1.53086421975308642197530864219754\r
626 dqrmn1111 remaindernear 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> -0.6913578024691357802469135780242\r
627 \r
628 -- Null tests\r
629 dqrmn1000 remaindernear 10 # -> NaN Invalid_operation\r
630 dqrmn1001 remaindernear # 10 -> NaN Invalid_operation\r
631 \r