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920dae64 AT |
1 | ------------------------------------------------------------------------ |
2 | -- remainderNear.decTest -- decimal remainder-near (IEEE remainder) -- | |
3 | -- Copyright (c) IBM Corporation, 1981, 2004. All rights reserved. -- | |
4 | ------------------------------------------------------------------------ | |
5 | -- Please see the document "General Decimal Arithmetic Testcases" -- | |
6 | -- at http://www2.hursley.ibm.com/decimal for the description of -- | |
7 | -- these testcases. -- | |
8 | -- -- | |
9 | -- These testcases are experimental ('beta' versions), and they -- | |
10 | -- may contain errors. They are offered on an as-is basis. In -- | |
11 | -- particular, achieving the same results as the tests here is not -- | |
12 | -- a guarantee that an implementation complies with any Standard -- | |
13 | -- or specification. The tests are not exhaustive. -- | |
14 | -- -- | |
15 | -- Please send comments, suggestions, and corrections to the author: -- | |
16 | -- Mike Cowlishaw, IBM Fellow -- | |
17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- | |
18 | -- mfc@uk.ibm.com -- | |
19 | ------------------------------------------------------------------------ | |
20 | version: 2.39 | |
21 | ||
22 | extended: 1 | |
23 | precision: 9 | |
24 | rounding: half_up | |
25 | maxExponent: 384 | |
26 | minexponent: -383 | |
27 | ||
28 | rmnx001 remaindernear 1 1 -> 0 | |
29 | rmnx002 remaindernear 2 1 -> 0 | |
30 | rmnx003 remaindernear 1 2 -> 1 | |
31 | rmnx004 remaindernear 2 2 -> 0 | |
32 | rmnx005 remaindernear 0 1 -> 0 | |
33 | rmnx006 remaindernear 0 2 -> 0 | |
34 | rmnx007 remaindernear 1 3 -> 1 | |
35 | rmnx008 remaindernear 2 3 -> -1 | |
36 | rmnx009 remaindernear 3 3 -> 0 | |
37 | ||
38 | rmnx010 remaindernear 2.4 1 -> 0.4 | |
39 | rmnx011 remaindernear 2.4 -1 -> 0.4 | |
40 | rmnx012 remaindernear -2.4 1 -> -0.4 | |
41 | rmnx013 remaindernear -2.4 -1 -> -0.4 | |
42 | rmnx014 remaindernear 2.40 1 -> 0.40 | |
43 | rmnx015 remaindernear 2.400 1 -> 0.400 | |
44 | rmnx016 remaindernear 2.4 2 -> 0.4 | |
45 | rmnx017 remaindernear 2.400 2 -> 0.400 | |
46 | rmnx018 remaindernear 2. 2 -> 0 | |
47 | rmnx019 remaindernear 20 20 -> 0 | |
48 | ||
49 | rmnx020 remaindernear 187 187 -> 0 | |
50 | rmnx021 remaindernear 5 2 -> 1 | |
51 | rmnx022 remaindernear 5 2.0 -> 1.0 | |
52 | rmnx023 remaindernear 5 2.000 -> 1.000 | |
53 | rmnx024 remaindernear 5 0.200 -> 0.000 | |
54 | rmnx025 remaindernear 5 0.200 -> 0.000 | |
55 | ||
56 | rmnx030 remaindernear 1 2 -> 1 | |
57 | rmnx031 remaindernear 1 4 -> 1 | |
58 | rmnx032 remaindernear 1 8 -> 1 | |
59 | rmnx033 remaindernear 1 16 -> 1 | |
60 | rmnx034 remaindernear 1 32 -> 1 | |
61 | rmnx035 remaindernear 1 64 -> 1 | |
62 | rmnx040 remaindernear 1 -2 -> 1 | |
63 | rmnx041 remaindernear 1 -4 -> 1 | |
64 | rmnx042 remaindernear 1 -8 -> 1 | |
65 | rmnx043 remaindernear 1 -16 -> 1 | |
66 | rmnx044 remaindernear 1 -32 -> 1 | |
67 | rmnx045 remaindernear 1 -64 -> 1 | |
68 | rmnx050 remaindernear -1 2 -> -1 | |
69 | rmnx051 remaindernear -1 4 -> -1 | |
70 | rmnx052 remaindernear -1 8 -> -1 | |
71 | rmnx053 remaindernear -1 16 -> -1 | |
72 | rmnx054 remaindernear -1 32 -> -1 | |
73 | rmnx055 remaindernear -1 64 -> -1 | |
74 | rmnx060 remaindernear -1 -2 -> -1 | |
75 | rmnx061 remaindernear -1 -4 -> -1 | |
76 | rmnx062 remaindernear -1 -8 -> -1 | |
77 | rmnx063 remaindernear -1 -16 -> -1 | |
78 | rmnx064 remaindernear -1 -32 -> -1 | |
79 | rmnx065 remaindernear -1 -64 -> -1 | |
80 | ||
81 | rmnx066 remaindernear 999999997 1 -> 0 | |
82 | rmnx067 remaindernear 999999997.4 1 -> 0.4 | |
83 | rmnx068 remaindernear 999999997.5 1 -> -0.5 | |
84 | rmnx069 remaindernear 999999997.9 1 -> -0.1 | |
85 | rmnx070 remaindernear 999999997.999 1 -> -0.001 | |
86 | ||
87 | rmnx071 remaindernear 999999998 1 -> 0 | |
88 | rmnx072 remaindernear 999999998.4 1 -> 0.4 | |
89 | rmnx073 remaindernear 999999998.5 1 -> 0.5 | |
90 | rmnx074 remaindernear 999999998.9 1 -> -0.1 | |
91 | rmnx075 remaindernear 999999998.999 1 -> -0.001 | |
92 | ||
93 | rmnx076 remaindernear 999999999 1 -> 0 | |
94 | rmnx077 remaindernear 999999999.4 1 -> 0.4 | |
95 | rmnx078 remaindernear 999999999.5 1 -> NaN Division_impossible | |
96 | rmnx079 remaindernear 999999999.9 1 -> NaN Division_impossible | |
97 | rmnx080 remaindernear 999999999.999 1 -> NaN Division_impossible | |
98 | ||
99 | precision: 6 | |
100 | rmnx081 remaindernear 999999999 1 -> NaN Division_impossible | |
101 | rmnx082 remaindernear 99999999 1 -> NaN Division_impossible | |
102 | rmnx083 remaindernear 9999999 1 -> NaN Division_impossible | |
103 | rmnx084 remaindernear 999999 1 -> 0 | |
104 | rmnx085 remaindernear 99999 1 -> 0 | |
105 | rmnx086 remaindernear 9999 1 -> 0 | |
106 | rmnx087 remaindernear 999 1 -> 0 | |
107 | rmnx088 remaindernear 99 1 -> 0 | |
108 | rmnx089 remaindernear 9 1 -> 0 | |
109 | ||
110 | precision: 9 | |
111 | rmnx090 remaindernear 0. 1 -> 0 | |
112 | rmnx091 remaindernear .0 1 -> 0.0 | |
113 | rmnx092 remaindernear 0.00 1 -> 0.00 | |
114 | rmnx093 remaindernear 0.00E+9 1 -> 0 | |
115 | rmnx094 remaindernear 0.0000E-50 1 -> 0E-54 | |
116 | ||
117 | ||
118 | -- Various flavours of remaindernear by 0 | |
119 | precision: 9 | |
120 | maxexponent: 999999999 | |
121 | minexponent: -999999999 | |
122 | rmnx101 remaindernear 0 0 -> NaN Division_undefined | |
123 | rmnx102 remaindernear 0 -0 -> NaN Division_undefined | |
124 | rmnx103 remaindernear -0 0 -> NaN Division_undefined | |
125 | rmnx104 remaindernear -0 -0 -> NaN Division_undefined | |
126 | rmnx105 remaindernear 0.0E5 0 -> NaN Division_undefined | |
127 | rmnx106 remaindernear 0.000 0 -> NaN Division_undefined | |
128 | -- [Some think this next group should be Division_by_zero exception, | |
129 | -- but IEEE 854 is explicit that it is Invalid operation .. for | |
130 | -- remaindernear-near, anyway] | |
131 | rmnx107 remaindernear 0.0001 0 -> NaN Invalid_operation | |
132 | rmnx108 remaindernear 0.01 0 -> NaN Invalid_operation | |
133 | rmnx109 remaindernear 0.1 0 -> NaN Invalid_operation | |
134 | rmnx110 remaindernear 1 0 -> NaN Invalid_operation | |
135 | rmnx111 remaindernear 1 0.0 -> NaN Invalid_operation | |
136 | rmnx112 remaindernear 10 0.0 -> NaN Invalid_operation | |
137 | rmnx113 remaindernear 1E+100 0.0 -> NaN Invalid_operation | |
138 | rmnx114 remaindernear 1E+1000 0 -> NaN Invalid_operation | |
139 | rmnx115 remaindernear 0.0001 -0 -> NaN Invalid_operation | |
140 | rmnx116 remaindernear 0.01 -0 -> NaN Invalid_operation | |
141 | rmnx119 remaindernear 0.1 -0 -> NaN Invalid_operation | |
142 | rmnx120 remaindernear 1 -0 -> NaN Invalid_operation | |
143 | rmnx121 remaindernear 1 -0.0 -> NaN Invalid_operation | |
144 | rmnx122 remaindernear 10 -0.0 -> NaN Invalid_operation | |
145 | rmnx123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation | |
146 | rmnx124 remaindernear 1E+1000 -0 -> NaN Invalid_operation | |
147 | -- and zeros on left | |
148 | rmnx130 remaindernear 0 1 -> 0 | |
149 | rmnx131 remaindernear 0 -1 -> 0 | |
150 | rmnx132 remaindernear 0.0 1 -> 0.0 | |
151 | rmnx133 remaindernear 0.0 -1 -> 0.0 | |
152 | rmnx134 remaindernear -0 1 -> -0 | |
153 | rmnx135 remaindernear -0 -1 -> -0 | |
154 | rmnx136 remaindernear -0.0 1 -> -0.0 | |
155 | rmnx137 remaindernear -0.0 -1 -> -0.0 | |
156 | ||
157 | -- 0.5ers | |
158 | rmmx143 remaindernear 0.5 2 -> 0.5 | |
159 | rmmx144 remaindernear 0.5 2.1 -> 0.5 | |
160 | rmmx145 remaindernear 0.5 2.01 -> 0.50 | |
161 | rmmx146 remaindernear 0.5 2.001 -> 0.500 | |
162 | rmmx147 remaindernear 0.50 2 -> 0.50 | |
163 | rmmx148 remaindernear 0.50 2.01 -> 0.50 | |
164 | rmmx149 remaindernear 0.50 2.001 -> 0.500 | |
165 | ||
166 | -- some differences from remainder | |
167 | rmnx150 remaindernear 0.4 1.020 -> 0.400 | |
168 | rmnx151 remaindernear 0.50 1.020 -> 0.500 | |
169 | rmnx152 remaindernear 0.51 1.020 -> 0.510 | |
170 | rmnx153 remaindernear 0.52 1.020 -> -0.500 | |
171 | rmnx154 remaindernear 0.6 1.020 -> -0.420 | |
172 | rmnx155 remaindernear 0.49 1 -> 0.49 | |
173 | rmnx156 remaindernear 0.50 1 -> 0.50 | |
174 | rmnx157 remaindernear 1.50 1 -> -0.50 | |
175 | rmnx158 remaindernear 2.50 1 -> 0.50 | |
176 | rmnx159 remaindernear 9.50 1 -> -0.50 | |
177 | rmnx160 remaindernear 0.51 1 -> -0.49 | |
178 | ||
179 | -- the nasty division-by-1 cases | |
180 | rmnx161 remaindernear 0.4 1 -> 0.4 | |
181 | rmnx162 remaindernear 0.45 1 -> 0.45 | |
182 | rmnx163 remaindernear 0.455 1 -> 0.455 | |
183 | rmnx164 remaindernear 0.4555 1 -> 0.4555 | |
184 | rmnx165 remaindernear 0.45555 1 -> 0.45555 | |
185 | rmnx166 remaindernear 0.455555 1 -> 0.455555 | |
186 | rmnx167 remaindernear 0.4555555 1 -> 0.4555555 | |
187 | rmnx168 remaindernear 0.45555555 1 -> 0.45555555 | |
188 | rmnx169 remaindernear 0.455555555 1 -> 0.455555555 | |
189 | -- with spill... | |
190 | rmnx171 remaindernear 0.5 1 -> 0.5 | |
191 | rmnx172 remaindernear 0.55 1 -> -0.45 | |
192 | rmnx173 remaindernear 0.555 1 -> -0.445 | |
193 | rmnx174 remaindernear 0.5555 1 -> -0.4445 | |
194 | rmnx175 remaindernear 0.55555 1 -> -0.44445 | |
195 | rmnx176 remaindernear 0.555555 1 -> -0.444445 | |
196 | rmnx177 remaindernear 0.5555555 1 -> -0.4444445 | |
197 | rmnx178 remaindernear 0.55555555 1 -> -0.44444445 | |
198 | rmnx179 remaindernear 0.555555555 1 -> -0.444444445 | |
199 | ||
200 | -- progression | |
201 | rmnx180 remaindernear 1 1 -> 0 | |
202 | rmnx181 remaindernear 1 2 -> 1 | |
203 | rmnx182 remaindernear 1 3 -> 1 | |
204 | rmnx183 remaindernear 1 4 -> 1 | |
205 | rmnx184 remaindernear 1 5 -> 1 | |
206 | rmnx185 remaindernear 1 6 -> 1 | |
207 | rmnx186 remaindernear 1 7 -> 1 | |
208 | rmnx187 remaindernear 1 8 -> 1 | |
209 | rmnx188 remaindernear 1 9 -> 1 | |
210 | rmnx189 remaindernear 1 10 -> 1 | |
211 | rmnx190 remaindernear 1 1 -> 0 | |
212 | rmnx191 remaindernear 2 1 -> 0 | |
213 | rmnx192 remaindernear 3 1 -> 0 | |
214 | rmnx193 remaindernear 4 1 -> 0 | |
215 | rmnx194 remaindernear 5 1 -> 0 | |
216 | rmnx195 remaindernear 6 1 -> 0 | |
217 | rmnx196 remaindernear 7 1 -> 0 | |
218 | rmnx197 remaindernear 8 1 -> 0 | |
219 | rmnx198 remaindernear 9 1 -> 0 | |
220 | rmnx199 remaindernear 10 1 -> 0 | |
221 | ||
222 | ||
223 | -- Various flavours of remaindernear by 0 | |
224 | maxexponent: 999999999 | |
225 | minexponent: -999999999 | |
226 | rmnx201 remaindernear 0 0 -> NaN Division_undefined | |
227 | rmnx202 remaindernear 0.0E5 0 -> NaN Division_undefined | |
228 | rmnx203 remaindernear 0.000 0 -> NaN Division_undefined | |
229 | rmnx204 remaindernear 0.0001 0 -> NaN Invalid_operation | |
230 | rmnx205 remaindernear 0.01 0 -> NaN Invalid_operation | |
231 | rmnx206 remaindernear 0.1 0 -> NaN Invalid_operation | |
232 | rmnx207 remaindernear 1 0 -> NaN Invalid_operation | |
233 | rmnx208 remaindernear 1 0.0 -> NaN Invalid_operation | |
234 | rmnx209 remaindernear 10 0.0 -> NaN Invalid_operation | |
235 | rmnx210 remaindernear 1E+100 0.0 -> NaN Invalid_operation | |
236 | rmnx211 remaindernear 1E+1000 0 -> NaN Invalid_operation | |
237 | ||
238 | -- tests from the extended specification | |
239 | rmnx221 remaindernear 2.1 3 -> -0.9 | |
240 | rmnx222 remaindernear 10 6 -> -2 | |
241 | rmnx223 remaindernear 10 3 -> 1 | |
242 | rmnx224 remaindernear -10 3 -> -1 | |
243 | rmnx225 remaindernear 10.2 1 -> 0.2 | |
244 | rmnx226 remaindernear 10 0.3 -> 0.1 | |
245 | rmnx227 remaindernear 3.6 1.3 -> -0.3 | |
246 | ||
247 | -- some differences from remainder | |
248 | rmnx231 remaindernear 0.4 1.020 -> 0.400 | |
249 | rmnx232 remaindernear 0.50 1.020 -> 0.500 | |
250 | rmnx233 remaindernear 0.51 1.020 -> 0.510 | |
251 | rmnx234 remaindernear 0.52 1.020 -> -0.500 | |
252 | rmnx235 remaindernear 0.6 1.020 -> -0.420 | |
253 | ||
254 | -- test some cases that are close to exponent overflow | |
255 | maxexponent: 999999999 | |
256 | minexponent: -999999999 | |
257 | rmnx270 remaindernear 1 1e999999999 -> 1 | |
258 | rmnx271 remaindernear 1 0.9e999999999 -> 1 | |
259 | rmnx272 remaindernear 1 0.99e999999999 -> 1 | |
260 | rmnx273 remaindernear 1 0.999999999e999999999 -> 1 | |
261 | rmnx274 remaindernear 9e999999999 1 -> NaN Division_impossible | |
262 | rmnx275 remaindernear 9.9e999999999 1 -> NaN Division_impossible | |
263 | rmnx276 remaindernear 9.99e999999999 1 -> NaN Division_impossible | |
264 | rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible | |
265 | ||
266 | rmnx280 remaindernear 0.1 9e-999999999 -> NaN Division_impossible | |
267 | rmnx281 remaindernear 0.1 99e-999999999 -> NaN Division_impossible | |
268 | rmnx282 remaindernear 0.1 999e-999999999 -> NaN Division_impossible | |
269 | ||
270 | rmnx283 remaindernear 0.1 9e-999999998 -> NaN Division_impossible | |
271 | rmnx284 remaindernear 0.1 99e-999999998 -> NaN Division_impossible | |
272 | rmnx285 remaindernear 0.1 999e-999999998 -> NaN Division_impossible | |
273 | rmnx286 remaindernear 0.1 999e-999999997 -> NaN Division_impossible | |
274 | rmnx287 remaindernear 0.1 9999e-999999997 -> NaN Division_impossible | |
275 | rmnx288 remaindernear 0.1 99999e-999999997 -> NaN Division_impossible | |
276 | ||
277 | -- rmnx3xx are from DiagBigDecimal | |
278 | rmnx301 remaindernear 1 3 -> 1 | |
279 | rmnx302 remaindernear 5 5 -> 0 | |
280 | rmnx303 remaindernear 13 10 -> 3 | |
281 | rmnx304 remaindernear 13 50 -> 13 | |
282 | rmnx305 remaindernear 13 100 -> 13 | |
283 | rmnx306 remaindernear 13 1000 -> 13 | |
284 | rmnx307 remaindernear .13 1 -> 0.13 | |
285 | rmnx308 remaindernear 0.133 1 -> 0.133 | |
286 | rmnx309 remaindernear 0.1033 1 -> 0.1033 | |
287 | rmnx310 remaindernear 1.033 1 -> 0.033 | |
288 | rmnx311 remaindernear 10.33 1 -> 0.33 | |
289 | rmnx312 remaindernear 10.33 10 -> 0.33 | |
290 | rmnx313 remaindernear 103.3 1 -> 0.3 | |
291 | rmnx314 remaindernear 133 10 -> 3 | |
292 | rmnx315 remaindernear 1033 10 -> 3 | |
293 | rmnx316 remaindernear 1033 50 -> -17 | |
294 | rmnx317 remaindernear 101.0 3 -> -1.0 | |
295 | rmnx318 remaindernear 102.0 3 -> 0.0 | |
296 | rmnx319 remaindernear 103.0 3 -> 1.0 | |
297 | rmnx320 remaindernear 2.40 1 -> 0.40 | |
298 | rmnx321 remaindernear 2.400 1 -> 0.400 | |
299 | rmnx322 remaindernear 2.4 1 -> 0.4 | |
300 | rmnx323 remaindernear 2.4 2 -> 0.4 | |
301 | rmnx324 remaindernear 2.400 2 -> 0.400 | |
302 | rmnx325 remaindernear 1 0.3 -> 0.1 | |
303 | rmnx326 remaindernear 1 0.30 -> 0.10 | |
304 | rmnx327 remaindernear 1 0.300 -> 0.100 | |
305 | rmnx328 remaindernear 1 0.3000 -> 0.1000 | |
306 | rmnx329 remaindernear 1.0 0.3 -> 0.1 | |
307 | rmnx330 remaindernear 1.00 0.3 -> 0.10 | |
308 | rmnx331 remaindernear 1.000 0.3 -> 0.100 | |
309 | rmnx332 remaindernear 1.0000 0.3 -> 0.1000 | |
310 | rmnx333 remaindernear 0.5 2 -> 0.5 | |
311 | rmnx334 remaindernear 0.5 2.1 -> 0.5 | |
312 | rmnx335 remaindernear 0.5 2.01 -> 0.50 | |
313 | rmnx336 remaindernear 0.5 2.001 -> 0.500 | |
314 | rmnx337 remaindernear 0.50 2 -> 0.50 | |
315 | rmnx338 remaindernear 0.50 2.01 -> 0.50 | |
316 | rmnx339 remaindernear 0.50 2.001 -> 0.500 | |
317 | ||
318 | rmnx340 remaindernear 0.5 0.5000001 -> -1E-7 | |
319 | rmnx341 remaindernear 0.5 0.50000001 -> -1E-8 | |
320 | rmnx342 remaindernear 0.5 0.500000001 -> -1E-9 | |
321 | rmnx343 remaindernear 0.5 0.5000000001 -> -1E-10 | |
322 | rmnx344 remaindernear 0.5 0.50000000001 -> -1E-11 | |
323 | rmnx345 remaindernear 0.5 0.4999999 -> 1E-7 | |
324 | rmnx346 remaindernear 0.5 0.49999999 -> 1E-8 | |
325 | rmnx347 remaindernear 0.5 0.499999999 -> 1E-9 | |
326 | rmnx348 remaindernear 0.5 0.4999999999 -> 1E-10 | |
327 | rmnx349 remaindernear 0.5 0.49999999999 -> 1E-11 | |
328 | ||
329 | rmnx350 remaindernear 0.03 7 -> 0.03 | |
330 | rmnx351 remaindernear 5 2 -> 1 | |
331 | rmnx352 remaindernear 4.1 2 -> 0.1 | |
332 | rmnx353 remaindernear 4.01 2 -> 0.01 | |
333 | rmnx354 remaindernear 4.001 2 -> 0.001 | |
334 | rmnx355 remaindernear 4.0001 2 -> 0.0001 | |
335 | rmnx356 remaindernear 4.00001 2 -> 0.00001 | |
336 | rmnx357 remaindernear 4.000001 2 -> 0.000001 | |
337 | rmnx358 remaindernear 4.0000001 2 -> 1E-7 | |
338 | ||
339 | rmnx360 remaindernear 1.2 0.7345 -> -0.2690 | |
340 | rmnx361 remaindernear 0.8 12 -> 0.8 | |
341 | rmnx362 remaindernear 0.8 0.2 -> 0.0 | |
342 | rmnx363 remaindernear 0.8 0.3 -> -0.1 | |
343 | rmnx364 remaindernear 0.800 12 -> 0.800 | |
344 | rmnx365 remaindernear 0.800 1.7 -> 0.800 | |
345 | rmnx366 remaindernear 2.400 2 -> 0.400 | |
346 | ||
347 | precision: 6 | |
348 | rmnx371 remaindernear 2.400 2 -> 0.400 | |
349 | precision: 3 | |
350 | rmnx372 remaindernear 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded | |
351 | ||
352 | precision: 5 | |
353 | rmnx381 remaindernear 12345 1 -> 0 | |
354 | rmnx382 remaindernear 12345 1.0001 -> -0.2344 | |
355 | rmnx383 remaindernear 12345 1.001 -> -0.333 | |
356 | rmnx384 remaindernear 12345 1.01 -> -0.23 | |
357 | rmnx385 remaindernear 12345 1.1 -> -0.3 | |
358 | rmnx386 remaindernear 12355 4 -> -1 | |
359 | rmnx387 remaindernear 12345 4 -> 1 | |
360 | rmnx388 remaindernear 12355 4.0001 -> -1.3089 | |
361 | rmnx389 remaindernear 12345 4.0001 -> 0.6914 | |
362 | rmnx390 remaindernear 12345 4.9 -> 1.9 | |
363 | rmnx391 remaindernear 12345 4.99 -> -0.26 | |
364 | rmnx392 remaindernear 12345 4.999 -> 2.469 | |
365 | rmnx393 remaindernear 12345 4.9999 -> 0.2469 | |
366 | rmnx394 remaindernear 12345 5 -> 0 | |
367 | rmnx395 remaindernear 12345 5.0001 -> -0.2469 | |
368 | rmnx396 remaindernear 12345 5.001 -> -2.469 | |
369 | rmnx397 remaindernear 12345 5.01 -> 0.36 | |
370 | rmnx398 remaindernear 12345 5.1 -> -2.1 | |
371 | ||
372 | precision: 9 | |
373 | -- some nasty division-by-1 cases [some similar above] | |
374 | rmnx401 remaindernear 0.4 1 -> 0.4 | |
375 | rmnx402 remaindernear 0.45 1 -> 0.45 | |
376 | rmnx403 remaindernear 0.455 1 -> 0.455 | |
377 | rmnx404 remaindernear 0.4555 1 -> 0.4555 | |
378 | rmnx405 remaindernear 0.45555 1 -> 0.45555 | |
379 | rmnx406 remaindernear 0.455555 1 -> 0.455555 | |
380 | rmnx407 remaindernear 0.4555555 1 -> 0.4555555 | |
381 | rmnx408 remaindernear 0.45555555 1 -> 0.45555555 | |
382 | rmnx409 remaindernear 0.455555555 1 -> 0.455555555 | |
383 | ||
384 | -- some tricky LHSs | |
385 | rmnx420 remaindernear 99999999.999999999 1E+8 -> -1E-9 | |
386 | rmnx421 remaindernear 999999999.999999999 1E+9 -> -1E-9 | |
387 | precision: 9 | |
388 | rmnx430 remaindernear 0.455555555 1 -> 0.455555555 | |
389 | precision: 8 | |
390 | rmnx431 remaindernear 0.455555555 1 -> 0.45555556 Inexact Rounded | |
391 | precision: 7 | |
392 | rmnx432 remaindernear 0.455555555 1 -> 0.4555556 Inexact Rounded | |
393 | precision: 6 | |
394 | rmnx433 remaindernear 0.455555555 1 -> 0.455556 Inexact Rounded | |
395 | precision: 5 | |
396 | rmnx434 remaindernear 0.455555555 1 -> 0.45556 Inexact Rounded | |
397 | precision: 4 | |
398 | rmnx435 remaindernear 0.455555555 1 -> 0.4556 Inexact Rounded | |
399 | precision: 3 | |
400 | rmnx436 remaindernear 0.455555555 1 -> 0.456 Inexact Rounded | |
401 | precision: 2 | |
402 | rmnx437 remaindernear 0.455555555 1 -> 0.46 Inexact Rounded | |
403 | precision: 1 | |
404 | rmnx438 remaindernear 0.455555555 1 -> 0.5 Inexact Rounded | |
405 | ||
406 | -- early tests; from text descriptions | |
407 | precision: 9 | |
408 | rmnx601 remaindernear 10 6 -> -2 | |
409 | rmnx602 remaindernear -10 6 -> 2 | |
410 | rmnx603 remaindernear 11 3 -> -1 | |
411 | rmnx604 remaindernear 11 5 -> 1 | |
412 | rmnx605 remaindernear 7.7 8 -> -0.3 | |
413 | rmnx606 remaindernear 31.5 3 -> 1.5 -- i=10 | |
414 | rmnx607 remaindernear 34.5 3 -> -1.5 -- i=11 | |
415 | ||
416 | -- Specials | |
417 | rmnx680 remaindernear Inf -Inf -> NaN Invalid_operation | |
418 | rmnx681 remaindernear Inf -1000 -> NaN Invalid_operation | |
419 | rmnx682 remaindernear Inf -1 -> NaN Invalid_operation | |
420 | rmnx683 remaindernear Inf 0 -> NaN Invalid_operation | |
421 | rmnx684 remaindernear Inf -0 -> NaN Invalid_operation | |
422 | rmnx685 remaindernear Inf 1 -> NaN Invalid_operation | |
423 | rmnx686 remaindernear Inf 1000 -> NaN Invalid_operation | |
424 | rmnx687 remaindernear Inf Inf -> NaN Invalid_operation | |
425 | rmnx688 remaindernear -1000 Inf -> -1000 | |
426 | rmnx689 remaindernear -Inf Inf -> NaN Invalid_operation | |
427 | rmnx691 remaindernear -1 Inf -> -1 | |
428 | rmnx692 remaindernear 0 Inf -> 0 | |
429 | rmnx693 remaindernear -0 Inf -> -0 | |
430 | rmnx694 remaindernear 1 Inf -> 1 | |
431 | rmnx695 remaindernear 1000 Inf -> 1000 | |
432 | rmnx696 remaindernear Inf Inf -> NaN Invalid_operation | |
433 | ||
434 | rmnx700 remaindernear -Inf -Inf -> NaN Invalid_operation | |
435 | rmnx701 remaindernear -Inf -1000 -> NaN Invalid_operation | |
436 | rmnx702 remaindernear -Inf -1 -> NaN Invalid_operation | |
437 | rmnx703 remaindernear -Inf -0 -> NaN Invalid_operation | |
438 | rmnx704 remaindernear -Inf 0 -> NaN Invalid_operation | |
439 | rmnx705 remaindernear -Inf 1 -> NaN Invalid_operation | |
440 | rmnx706 remaindernear -Inf 1000 -> NaN Invalid_operation | |
441 | rmnx707 remaindernear -Inf Inf -> NaN Invalid_operation | |
442 | rmnx708 remaindernear -Inf -Inf -> NaN Invalid_operation | |
443 | rmnx709 remaindernear -1000 Inf -> -1000 | |
444 | rmnx710 remaindernear -1 -Inf -> -1 | |
445 | rmnx711 remaindernear -0 -Inf -> -0 | |
446 | rmnx712 remaindernear 0 -Inf -> 0 | |
447 | rmnx713 remaindernear 1 -Inf -> 1 | |
448 | rmnx714 remaindernear 1000 -Inf -> 1000 | |
449 | rmnx715 remaindernear Inf -Inf -> NaN Invalid_operation | |
450 | ||
451 | rmnx721 remaindernear NaN -Inf -> NaN | |
452 | rmnx722 remaindernear NaN -1000 -> NaN | |
453 | rmnx723 remaindernear NaN -1 -> NaN | |
454 | rmnx724 remaindernear NaN -0 -> NaN | |
455 | rmnx725 remaindernear NaN 0 -> NaN | |
456 | rmnx726 remaindernear NaN 1 -> NaN | |
457 | rmnx727 remaindernear NaN 1000 -> NaN | |
458 | rmnx728 remaindernear NaN Inf -> NaN | |
459 | rmnx729 remaindernear NaN NaN -> NaN | |
460 | rmnx730 remaindernear -Inf NaN -> NaN | |
461 | rmnx731 remaindernear -1000 NaN -> NaN | |
462 | rmnx732 remaindernear -1 -NaN -> -NaN | |
463 | rmnx733 remaindernear -0 NaN -> NaN | |
464 | rmnx734 remaindernear 0 NaN -> NaN | |
465 | rmnx735 remaindernear 1 NaN -> NaN | |
466 | rmnx736 remaindernear 1000 NaN -> NaN | |
467 | rmnx737 remaindernear Inf NaN -> NaN | |
468 | ||
469 | rmnx741 remaindernear sNaN -Inf -> NaN Invalid_operation | |
470 | rmnx742 remaindernear sNaN -1000 -> NaN Invalid_operation | |
471 | rmnx743 remaindernear -sNaN -1 -> -NaN Invalid_operation | |
472 | rmnx744 remaindernear sNaN -0 -> NaN Invalid_operation | |
473 | rmnx745 remaindernear sNaN 0 -> NaN Invalid_operation | |
474 | rmnx746 remaindernear sNaN 1 -> NaN Invalid_operation | |
475 | rmnx747 remaindernear sNaN 1000 -> NaN Invalid_operation | |
476 | rmnx749 remaindernear sNaN NaN -> NaN Invalid_operation | |
477 | rmnx750 remaindernear sNaN sNaN -> NaN Invalid_operation | |
478 | rmnx751 remaindernear NaN sNaN -> NaN Invalid_operation | |
479 | rmnx752 remaindernear -Inf sNaN -> NaN Invalid_operation | |
480 | rmnx753 remaindernear -1000 sNaN -> NaN Invalid_operation | |
481 | rmnx754 remaindernear -1 sNaN -> NaN Invalid_operation | |
482 | rmnx755 remaindernear -0 -sNaN -> -NaN Invalid_operation | |
483 | rmnx756 remaindernear 0 sNaN -> NaN Invalid_operation | |
484 | rmnx757 remaindernear 1 sNaN -> NaN Invalid_operation | |
485 | rmnx758 remaindernear 1000 sNaN -> NaN Invalid_operation | |
486 | rmnx759 remaindernear Inf sNaN -> NaN Invalid_operation | |
487 | rmnx760 remaindernear NaN sNaN -> NaN Invalid_operation | |
488 | ||
489 | -- propaging NaNs | |
490 | rmnx761 remaindernear NaN1 NaN7 -> NaN1 | |
491 | rmnx762 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation | |
492 | rmnx763 remaindernear NaN3 -sNaN9 -> -NaN9 Invalid_operation | |
493 | rmnx764 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation | |
494 | rmnx765 remaindernear 15 NaN11 -> NaN11 | |
495 | rmnx766 remaindernear NaN6 NaN12 -> NaN6 | |
496 | rmnx767 remaindernear Inf -NaN13 -> -NaN13 | |
497 | rmnx768 remaindernear NaN14 -Inf -> NaN14 | |
498 | rmnx769 remaindernear 0 NaN15 -> NaN15 | |
499 | rmnx770 remaindernear -NaN16 -0 -> -NaN16 | |
500 | ||
501 | -- test some cases that are close to exponent overflow | |
502 | maxexponent: 999999999 | |
503 | minexponent: -999999999 | |
504 | rmnx780 remaindernear 1 1e999999999 -> 1 | |
505 | rmnx781 remaindernear 1 0.9e999999999 -> 1 | |
506 | rmnx782 remaindernear 1 0.99e999999999 -> 1 | |
507 | rmnx783 remaindernear 1 0.999999999e999999999 -> 1 | |
508 | rmnx784 remaindernear 9e999999999 1 -> NaN Division_impossible | |
509 | rmnx785 remaindernear 9.9e999999999 1 -> NaN Division_impossible | |
510 | rmnx786 remaindernear 9.99e999999999 1 -> NaN Division_impossible | |
511 | rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible | |
512 | ||
513 | ||
514 | -- overflow and underflow tests [from divide] | |
515 | precision: 9 | |
516 | maxexponent: 999999999 | |
517 | minexponent: -999999999 | |
518 | rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded | |
519 | rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible | |
520 | rmnx792 remaindernear +0.100 9E+999999999 -> 0.100 | |
521 | rmnx793 remaindernear 9E-999999999 +9.100 -> 9E-999999999 | |
522 | rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded | |
523 | rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible | |
524 | rmnx797 remaindernear -0.100 9E+999999999 -> -0.100 | |
525 | rmnx798 remaindernear 9E-999999999 -9.100 -> 9E-999999999 | |
526 | ||
527 | -- long operands checks | |
528 | maxexponent: 999 | |
529 | minexponent: -999 | |
530 | precision: 9 | |
531 | rmnx801 remaindernear 12345678000 100 -> 0 | |
532 | rmnx802 remaindernear 1 12345678000 -> 1 | |
533 | rmnx803 remaindernear 1234567800 10 -> 0 | |
534 | rmnx804 remaindernear 1 1234567800 -> 1 | |
535 | rmnx805 remaindernear 1234567890 10 -> 0 | |
536 | rmnx806 remaindernear 1 1234567890 -> 1 | |
537 | rmnx807 remaindernear 1234567891 10 -> 1 | |
538 | rmnx808 remaindernear 1 1234567891 -> 1 | |
539 | rmnx809 remaindernear 12345678901 100 -> 1 | |
540 | rmnx810 remaindernear 1 12345678901 -> 1 | |
541 | rmnx811 remaindernear 1234567896 10 -> -4 | |
542 | rmnx812 remaindernear 1 1234567896 -> 1 | |
543 | ||
544 | precision: 15 | |
545 | rmnx841 remaindernear 12345678000 100 -> 0 | |
546 | rmnx842 remaindernear 1 12345678000 -> 1 | |
547 | rmnx843 remaindernear 1234567800 10 -> 0 | |
548 | rmnx844 remaindernear 1 1234567800 -> 1 | |
549 | rmnx845 remaindernear 1234567890 10 -> 0 | |
550 | rmnx846 remaindernear 1 1234567890 -> 1 | |
551 | rmnx847 remaindernear 1234567891 10 -> 1 | |
552 | rmnx848 remaindernear 1 1234567891 -> 1 | |
553 | rmnx849 remaindernear 12345678901 100 -> 1 | |
554 | rmnx850 remaindernear 1 12345678901 -> 1 | |
555 | rmnx851 remaindernear 1234567896 10 -> -4 | |
556 | rmnx852 remaindernear 1 1234567896 -> 1 | |
557 | ||
558 | -- Null tests | |
559 | rmnx900 remaindernear 10 # -> NaN Invalid_operation | |
560 | rmnx901 remaindernear # 10 -> NaN Invalid_operation |