|
1 ------------------------------------------------------------------------ |
|
2 -- remainderNear.decTest -- decimal remainder-near (IEEE remainder) -- |
|
3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- |
|
4 ------------------------------------------------------------------------ |
|
5 -- Please see the document "General Decimal Arithmetic Testcases" -- |
|
6 -- at http://www2.hursley.ibm.com/decimal for the description of -- |
|
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: 2.58 |
|
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 -- zero signs |
|
417 rmnx650 remaindernear 1 1 -> 0 |
|
418 rmnx651 remaindernear -1 1 -> -0 |
|
419 rmnx652 remaindernear 1 -1 -> 0 |
|
420 rmnx653 remaindernear -1 -1 -> -0 |
|
421 rmnx654 remaindernear 0 1 -> 0 |
|
422 rmnx655 remaindernear -0 1 -> -0 |
|
423 rmnx656 remaindernear 0 -1 -> 0 |
|
424 rmnx657 remaindernear -0 -1 -> -0 |
|
425 rmnx658 remaindernear 0.00 1 -> 0.00 |
|
426 rmnx659 remaindernear -0.00 1 -> -0.00 |
|
427 |
|
428 -- Specials |
|
429 rmnx680 remaindernear Inf -Inf -> NaN Invalid_operation |
|
430 rmnx681 remaindernear Inf -1000 -> NaN Invalid_operation |
|
431 rmnx682 remaindernear Inf -1 -> NaN Invalid_operation |
|
432 rmnx683 remaindernear Inf 0 -> NaN Invalid_operation |
|
433 rmnx684 remaindernear Inf -0 -> NaN Invalid_operation |
|
434 rmnx685 remaindernear Inf 1 -> NaN Invalid_operation |
|
435 rmnx686 remaindernear Inf 1000 -> NaN Invalid_operation |
|
436 rmnx687 remaindernear Inf Inf -> NaN Invalid_operation |
|
437 rmnx688 remaindernear -1000 Inf -> -1000 |
|
438 rmnx689 remaindernear -Inf Inf -> NaN Invalid_operation |
|
439 rmnx691 remaindernear -1 Inf -> -1 |
|
440 rmnx692 remaindernear 0 Inf -> 0 |
|
441 rmnx693 remaindernear -0 Inf -> -0 |
|
442 rmnx694 remaindernear 1 Inf -> 1 |
|
443 rmnx695 remaindernear 1000 Inf -> 1000 |
|
444 rmnx696 remaindernear Inf Inf -> NaN Invalid_operation |
|
445 |
|
446 rmnx700 remaindernear -Inf -Inf -> NaN Invalid_operation |
|
447 rmnx701 remaindernear -Inf -1000 -> NaN Invalid_operation |
|
448 rmnx702 remaindernear -Inf -1 -> NaN Invalid_operation |
|
449 rmnx703 remaindernear -Inf -0 -> NaN Invalid_operation |
|
450 rmnx704 remaindernear -Inf 0 -> NaN Invalid_operation |
|
451 rmnx705 remaindernear -Inf 1 -> NaN Invalid_operation |
|
452 rmnx706 remaindernear -Inf 1000 -> NaN Invalid_operation |
|
453 rmnx707 remaindernear -Inf Inf -> NaN Invalid_operation |
|
454 rmnx708 remaindernear -Inf -Inf -> NaN Invalid_operation |
|
455 rmnx709 remaindernear -1000 Inf -> -1000 |
|
456 rmnx710 remaindernear -1 -Inf -> -1 |
|
457 rmnx711 remaindernear -0 -Inf -> -0 |
|
458 rmnx712 remaindernear 0 -Inf -> 0 |
|
459 rmnx713 remaindernear 1 -Inf -> 1 |
|
460 rmnx714 remaindernear 1000 -Inf -> 1000 |
|
461 rmnx715 remaindernear Inf -Inf -> NaN Invalid_operation |
|
462 |
|
463 rmnx721 remaindernear NaN -Inf -> NaN |
|
464 rmnx722 remaindernear NaN -1000 -> NaN |
|
465 rmnx723 remaindernear NaN -1 -> NaN |
|
466 rmnx724 remaindernear NaN -0 -> NaN |
|
467 rmnx725 remaindernear NaN 0 -> NaN |
|
468 rmnx726 remaindernear NaN 1 -> NaN |
|
469 rmnx727 remaindernear NaN 1000 -> NaN |
|
470 rmnx728 remaindernear NaN Inf -> NaN |
|
471 rmnx729 remaindernear NaN NaN -> NaN |
|
472 rmnx730 remaindernear -Inf NaN -> NaN |
|
473 rmnx731 remaindernear -1000 NaN -> NaN |
|
474 rmnx732 remaindernear -1 -NaN -> -NaN |
|
475 rmnx733 remaindernear -0 NaN -> NaN |
|
476 rmnx734 remaindernear 0 NaN -> NaN |
|
477 rmnx735 remaindernear 1 NaN -> NaN |
|
478 rmnx736 remaindernear 1000 NaN -> NaN |
|
479 rmnx737 remaindernear Inf NaN -> NaN |
|
480 |
|
481 rmnx741 remaindernear sNaN -Inf -> NaN Invalid_operation |
|
482 rmnx742 remaindernear sNaN -1000 -> NaN Invalid_operation |
|
483 rmnx743 remaindernear -sNaN -1 -> -NaN Invalid_operation |
|
484 rmnx744 remaindernear sNaN -0 -> NaN Invalid_operation |
|
485 rmnx745 remaindernear sNaN 0 -> NaN Invalid_operation |
|
486 rmnx746 remaindernear sNaN 1 -> NaN Invalid_operation |
|
487 rmnx747 remaindernear sNaN 1000 -> NaN Invalid_operation |
|
488 rmnx749 remaindernear sNaN NaN -> NaN Invalid_operation |
|
489 rmnx750 remaindernear sNaN sNaN -> NaN Invalid_operation |
|
490 rmnx751 remaindernear NaN sNaN -> NaN Invalid_operation |
|
491 rmnx752 remaindernear -Inf sNaN -> NaN Invalid_operation |
|
492 rmnx753 remaindernear -1000 sNaN -> NaN Invalid_operation |
|
493 rmnx754 remaindernear -1 sNaN -> NaN Invalid_operation |
|
494 rmnx755 remaindernear -0 -sNaN -> -NaN Invalid_operation |
|
495 rmnx756 remaindernear 0 sNaN -> NaN Invalid_operation |
|
496 rmnx757 remaindernear 1 sNaN -> NaN Invalid_operation |
|
497 rmnx758 remaindernear 1000 sNaN -> NaN Invalid_operation |
|
498 rmnx759 remaindernear Inf sNaN -> NaN Invalid_operation |
|
499 rmnx760 remaindernear NaN sNaN -> NaN Invalid_operation |
|
500 |
|
501 -- propaging NaNs |
|
502 rmnx761 remaindernear NaN1 NaN7 -> NaN1 |
|
503 rmnx762 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation |
|
504 rmnx763 remaindernear NaN3 -sNaN9 -> -NaN9 Invalid_operation |
|
505 rmnx764 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation |
|
506 rmnx765 remaindernear 15 NaN11 -> NaN11 |
|
507 rmnx766 remaindernear NaN6 NaN12 -> NaN6 |
|
508 rmnx767 remaindernear Inf -NaN13 -> -NaN13 |
|
509 rmnx768 remaindernear NaN14 -Inf -> NaN14 |
|
510 rmnx769 remaindernear 0 NaN15 -> NaN15 |
|
511 rmnx770 remaindernear -NaN16 -0 -> -NaN16 |
|
512 |
|
513 -- test some cases that are close to exponent overflow |
|
514 maxexponent: 999999999 |
|
515 minexponent: -999999999 |
|
516 rmnx780 remaindernear 1 1e999999999 -> 1 |
|
517 rmnx781 remaindernear 1 0.9e999999999 -> 1 |
|
518 rmnx782 remaindernear 1 0.99e999999999 -> 1 |
|
519 rmnx783 remaindernear 1 0.999999999e999999999 -> 1 |
|
520 rmnx784 remaindernear 9e999999999 1 -> NaN Division_impossible |
|
521 rmnx785 remaindernear 9.9e999999999 1 -> NaN Division_impossible |
|
522 rmnx786 remaindernear 9.99e999999999 1 -> NaN Division_impossible |
|
523 rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible |
|
524 |
|
525 |
|
526 -- overflow and underflow tests [from divide] |
|
527 precision: 9 |
|
528 maxexponent: 999999999 |
|
529 minexponent: -999999999 |
|
530 rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded |
|
531 rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible |
|
532 rmnx792 remaindernear +0.100 9E+999999999 -> 0.100 |
|
533 rmnx793 remaindernear 9E-999999999 +9.100 -> 9E-999999999 |
|
534 rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded |
|
535 rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible |
|
536 rmnx797 remaindernear -0.100 9E+999999999 -> -0.100 |
|
537 rmnx798 remaindernear 9E-999999999 -9.100 -> 9E-999999999 |
|
538 |
|
539 -- long operands checks |
|
540 maxexponent: 999 |
|
541 minexponent: -999 |
|
542 precision: 9 |
|
543 rmnx801 remaindernear 12345678000 100 -> 0 |
|
544 rmnx802 remaindernear 1 12345678000 -> 1 |
|
545 rmnx803 remaindernear 1234567800 10 -> 0 |
|
546 rmnx804 remaindernear 1 1234567800 -> 1 |
|
547 rmnx805 remaindernear 1234567890 10 -> 0 |
|
548 rmnx806 remaindernear 1 1234567890 -> 1 |
|
549 rmnx807 remaindernear 1234567891 10 -> 1 |
|
550 rmnx808 remaindernear 1 1234567891 -> 1 |
|
551 rmnx809 remaindernear 12345678901 100 -> 1 |
|
552 rmnx810 remaindernear 1 12345678901 -> 1 |
|
553 rmnx811 remaindernear 1234567896 10 -> -4 |
|
554 rmnx812 remaindernear 1 1234567896 -> 1 |
|
555 |
|
556 precision: 15 |
|
557 rmnx841 remaindernear 12345678000 100 -> 0 |
|
558 rmnx842 remaindernear 1 12345678000 -> 1 |
|
559 rmnx843 remaindernear 1234567800 10 -> 0 |
|
560 rmnx844 remaindernear 1 1234567800 -> 1 |
|
561 rmnx845 remaindernear 1234567890 10 -> 0 |
|
562 rmnx846 remaindernear 1 1234567890 -> 1 |
|
563 rmnx847 remaindernear 1234567891 10 -> 1 |
|
564 rmnx848 remaindernear 1 1234567891 -> 1 |
|
565 rmnx849 remaindernear 12345678901 100 -> 1 |
|
566 rmnx850 remaindernear 1 12345678901 -> 1 |
|
567 rmnx851 remaindernear 1234567896 10 -> -4 |
|
568 rmnx852 remaindernear 1 1234567896 -> 1 |
|
569 |
|
570 -- Null tests |
|
571 rmnx900 remaindernear 10 # -> NaN Invalid_operation |
|
572 rmnx901 remaindernear # 10 -> NaN Invalid_operation |