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/Lib/test/decimaltestdata/dqRemainderNear.decTest

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  1------------------------------------------------------------------------
  2-- dqRemainderNear.decTest -- decQuad remainder-near                  --
  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------------------------------------------------------------------------
 20version: 2.58
 21
 22extended:    1
 23clamp:       1
 24precision:   34
 25maxExponent: 6144
 26minExponent: -6143
 27rounding:    half_even
 28
 29-- sanity checks (as base, above)
 30dqrmn001 remaindernear  1     1    ->  0
 31dqrmn002 remaindernear  2     1    ->  0
 32dqrmn003 remaindernear  1     2    ->  1
 33dqrmn004 remaindernear  2     2    ->  0
 34dqrmn005 remaindernear  0     1    ->  0
 35dqrmn006 remaindernear  0     2    ->  0
 36dqrmn007 remaindernear  1     3    ->  1
 37dqrmn008 remaindernear  2     3    -> -1
 38dqrmn009 remaindernear  3     3    ->  0
 39
 40dqrmn010 remaindernear  2.4   1    ->  0.4
 41dqrmn011 remaindernear  2.4   -1   ->  0.4
 42dqrmn012 remaindernear  -2.4  1    ->  -0.4
 43dqrmn013 remaindernear  -2.4  -1   ->  -0.4
 44dqrmn014 remaindernear  2.40  1    ->  0.40
 45dqrmn015 remaindernear  2.400 1    ->  0.400
 46dqrmn016 remaindernear  2.4   2    ->  0.4
 47dqrmn017 remaindernear  2.400 2    ->  0.400
 48dqrmn018 remaindernear  2.    2    ->  0
 49dqrmn019 remaindernear  20    20   ->  0
 50
 51dqrmn020 remaindernear  187   187    ->  0
 52dqrmn021 remaindernear  5     2      ->  1
 53dqrmn022 remaindernear  5     2.0    ->  1.0
 54dqrmn023 remaindernear  5     2.000  ->  1.000
 55dqrmn024 remaindernear  5     0.200  ->  0.000
 56dqrmn025 remaindernear  5     0.200  ->  0.000
 57
 58dqrmn030 remaindernear  1     2      ->  1
 59dqrmn031 remaindernear  1     4      ->  1
 60dqrmn032 remaindernear  1     8      ->  1
 61
 62dqrmn033 remaindernear  1     16     ->  1
 63dqrmn034 remaindernear  1     32     ->  1
 64dqrmn035 remaindernear  1     64     ->  1
 65dqrmn040 remaindernear  1    -2      ->  1
 66dqrmn041 remaindernear  1    -4      ->  1
 67dqrmn042 remaindernear  1    -8      ->  1
 68dqrmn043 remaindernear  1    -16     ->  1
 69dqrmn044 remaindernear  1    -32     ->  1
 70dqrmn045 remaindernear  1    -64     ->  1
 71dqrmn050 remaindernear -1     2      ->  -1
 72dqrmn051 remaindernear -1     4      ->  -1
 73dqrmn052 remaindernear -1     8      ->  -1
 74dqrmn053 remaindernear -1     16     ->  -1
 75dqrmn054 remaindernear -1     32     ->  -1
 76dqrmn055 remaindernear -1     64     ->  -1
 77dqrmn060 remaindernear -1    -2      ->  -1
 78dqrmn061 remaindernear -1    -4      ->  -1
 79dqrmn062 remaindernear -1    -8      ->  -1
 80dqrmn063 remaindernear -1    -16     ->  -1
 81dqrmn064 remaindernear -1    -32     ->  -1
 82dqrmn065 remaindernear -1    -64     ->  -1
 83
 84dqrmn066 remaindernear          9.9   1  -> -0.1
 85dqrmn067 remaindernear         99.7   1  -> -0.3
 86dqrmn068 remaindernear  999999999     1  -> 0
 87dqrmn069 remaindernear  999999999.4   1  -> 0.4
 88dqrmn070 remaindernear  999999999.5   1  -> -0.5
 89dqrmn071 remaindernear  999999999.9   1  -> -0.1
 90dqrmn072 remaindernear  999999999.999 1  -> -0.001
 91dqrmn073 remaindernear  999999.999999 1  -> -0.000001
 92dqrmn074 remaindernear  9             1  -> 0
 93dqrmn075 remaindernear  9999999999999999 1  -> 0
 94dqrmn076 remaindernear  9999999999999999 2  -> -1
 95dqrmn077 remaindernear  9999999999999999 3  -> 0
 96dqrmn078 remaindernear  9999999999999999 4  -> -1
 97
 98dqrmn080 remaindernear  0.            1  -> 0
 99dqrmn081 remaindernear  .0            1  -> 0.0
100dqrmn082 remaindernear  0.00          1  -> 0.00
101dqrmn083 remaindernear  0.00E+9       1  -> 0
102dqrmn084 remaindernear  0.00E+3       1  -> 0
103dqrmn085 remaindernear  0.00E+2       1  -> 0
104dqrmn086 remaindernear  0.00E+1       1  -> 0.0
105dqrmn087 remaindernear  0.00E+0       1  -> 0.00
106dqrmn088 remaindernear  0.00E-0       1  -> 0.00
107dqrmn089 remaindernear  0.00E-1       1  -> 0.000
108dqrmn090 remaindernear  0.00E-2       1  -> 0.0000
109dqrmn091 remaindernear  0.00E-3       1  -> 0.00000
110dqrmn092 remaindernear  0.00E-4       1  -> 0.000000
111dqrmn093 remaindernear  0.00E-5       1  -> 0E-7
112dqrmn094 remaindernear  0.00E-6       1  -> 0E-8
113dqrmn095 remaindernear  0.0000E-50    1  -> 0E-54
114
115-- Various flavours of remaindernear by 0
116dqrmn101 remaindernear  0       0   -> NaN Division_undefined
117dqrmn102 remaindernear  0      -0   -> NaN Division_undefined
118dqrmn103 remaindernear -0       0   -> NaN Division_undefined
119dqrmn104 remaindernear -0      -0   -> NaN Division_undefined
120dqrmn105 remaindernear  0.0E5   0   -> NaN Division_undefined
121dqrmn106 remaindernear  0.000   0   -> NaN Division_undefined
122-- [Some think this next group should be Division_by_zero exception, but
123-- IEEE 854 is explicit that it is Invalid operation .. for
124-- remainder-near, anyway]
125dqrmn107 remaindernear  0.0001  0   -> NaN Invalid_operation
126dqrmn108 remaindernear  0.01    0   -> NaN Invalid_operation
127dqrmn109 remaindernear  0.1     0   -> NaN Invalid_operation
128dqrmn110 remaindernear  1       0   -> NaN Invalid_operation
129dqrmn111 remaindernear  1       0.0 -> NaN Invalid_operation
130dqrmn112 remaindernear 10       0.0 -> NaN Invalid_operation
131dqrmn113 remaindernear 1E+100   0.0 -> NaN Invalid_operation
132dqrmn114 remaindernear 1E+380   0   -> NaN Invalid_operation
133dqrmn115 remaindernear  0.0001 -0   -> NaN Invalid_operation
134dqrmn116 remaindernear  0.01   -0   -> NaN Invalid_operation
135dqrmn119 remaindernear  0.1    -0   -> NaN Invalid_operation
136dqrmn120 remaindernear  1      -0   -> NaN Invalid_operation
137dqrmn121 remaindernear  1      -0.0 -> NaN Invalid_operation
138dqrmn122 remaindernear 10      -0.0 -> NaN Invalid_operation
139dqrmn123 remaindernear 1E+100  -0.0 -> NaN Invalid_operation
140dqrmn124 remaindernear 1E+384  -0   -> NaN Invalid_operation
141-- and zeros on left
142dqrmn130 remaindernear  0      1   ->  0
143dqrmn131 remaindernear  0     -1   ->  0
144dqrmn132 remaindernear  0.0    1   ->  0.0
145dqrmn133 remaindernear  0.0   -1   ->  0.0
146dqrmn134 remaindernear -0      1   -> -0
147dqrmn135 remaindernear -0     -1   -> -0
148dqrmn136 remaindernear -0.0    1   -> -0.0
149dqrmn137 remaindernear -0.0   -1   -> -0.0
150
151-- 0.5ers
152dqrmn143 remaindernear   0.5  2     ->  0.5
153dqrmn144 remaindernear   0.5  2.1   ->  0.5
154dqrmn145 remaindernear   0.5  2.01  ->  0.50
155dqrmn146 remaindernear   0.5  2.001 ->  0.500
156dqrmn147 remaindernear   0.50 2     ->  0.50
157dqrmn148 remaindernear   0.50 2.01  ->  0.50
158dqrmn149 remaindernear   0.50 2.001 ->  0.500
159
160-- steadies
161dqrmn150 remaindernear  1  1   -> 0
162dqrmn151 remaindernear  1  2   -> 1
163dqrmn152 remaindernear  1  3   -> 1
164dqrmn153 remaindernear  1  4   -> 1
165dqrmn154 remaindernear  1  5   -> 1
166dqrmn155 remaindernear  1  6   -> 1
167dqrmn156 remaindernear  1  7   -> 1
168dqrmn157 remaindernear  1  8   -> 1
169dqrmn158 remaindernear  1  9   -> 1
170dqrmn159 remaindernear  1  10  -> 1
171dqrmn160 remaindernear  1  1   -> 0
172dqrmn161 remaindernear  2  1   -> 0
173dqrmn162 remaindernear  3  1   -> 0
174dqrmn163 remaindernear  4  1   -> 0
175dqrmn164 remaindernear  5  1   -> 0
176dqrmn165 remaindernear  6  1   -> 0
177dqrmn166 remaindernear  7  1   -> 0
178dqrmn167 remaindernear  8  1   -> 0
179dqrmn168 remaindernear  9  1   -> 0
180dqrmn169 remaindernear  10 1   -> 0
181
182-- some differences from remainder
183dqrmn171 remaindernear   0.4  1.020 ->  0.400
184dqrmn172 remaindernear   0.50 1.020 ->  0.500
185dqrmn173 remaindernear   0.51 1.020 ->  0.510
186dqrmn174 remaindernear   0.52 1.020 -> -0.500
187dqrmn175 remaindernear   0.6  1.020 -> -0.420
188
189-- More flavours of remaindernear by 0
190dqrmn201 remaindernear  0      0   -> NaN Division_undefined
191dqrmn202 remaindernear  0.0E5  0   -> NaN Division_undefined
192dqrmn203 remaindernear  0.000  0   -> NaN Division_undefined
193dqrmn204 remaindernear  0.0001 0   -> NaN Invalid_operation
194dqrmn205 remaindernear  0.01   0   -> NaN Invalid_operation
195dqrmn206 remaindernear  0.1    0   -> NaN Invalid_operation
196dqrmn207 remaindernear  1      0   -> NaN Invalid_operation
197dqrmn208 remaindernear  1      0.0 -> NaN Invalid_operation
198dqrmn209 remaindernear 10      0.0 -> NaN Invalid_operation
199dqrmn210 remaindernear 1E+100  0.0 -> NaN Invalid_operation
200dqrmn211 remaindernear 1E+380  0   -> NaN Invalid_operation
201
202-- tests from the extended specification
203dqrmn221 remaindernear 2.1     3   -> -0.9
204dqrmn222 remaindernear  10     6   -> -2
205dqrmn223 remaindernear  10     3   ->  1
206dqrmn224 remaindernear -10     3   -> -1
207dqrmn225 remaindernear  10.2   1   -> 0.2
208dqrmn226 remaindernear  10     0.3 -> 0.1
209dqrmn227 remaindernear   3.6   1.3 -> -0.3
210
211-- some differences from remainder
212dqrmn231 remaindernear  -0.4  1.020 -> -0.400
213dqrmn232 remaindernear  -0.50 1.020 -> -0.500
214dqrmn233 remaindernear  -0.51 1.020 -> -0.510
215dqrmn234 remaindernear  -0.52 1.020 ->  0.500
216dqrmn235 remaindernear  -0.6  1.020 ->  0.420
217
218-- high Xs
219dqrmn240 remaindernear  1E+2  1.00  ->  0.00
220
221-- dqrmn3xx are from DiagBigDecimal
222dqrmn301 remaindernear   1    3     ->  1
223dqrmn302 remaindernear   5    5     ->  0
224dqrmn303 remaindernear   13   10    ->  3
225dqrmn304 remaindernear   13   50    ->  13
226dqrmn305 remaindernear   13   100   ->  13
227dqrmn306 remaindernear   13   1000  ->  13
228dqrmn307 remaindernear   .13    1   ->  0.13
229dqrmn308 remaindernear   0.133  1   ->  0.133
230dqrmn309 remaindernear   0.1033 1   ->  0.1033
231dqrmn310 remaindernear   1.033  1   ->  0.033
232dqrmn311 remaindernear   10.33  1   ->  0.33
233dqrmn312 remaindernear   10.33 10   ->  0.33
234dqrmn313 remaindernear   103.3  1   ->  0.3
235dqrmn314 remaindernear   133   10   ->  3
236dqrmn315 remaindernear   1033  10   ->  3
237dqrmn316 remaindernear   1033  50   -> -17
238dqrmn317 remaindernear   101.0  3   -> -1.0
239dqrmn318 remaindernear   102.0  3   ->  0.0
240dqrmn319 remaindernear   103.0  3   ->  1.0
241dqrmn320 remaindernear   2.40   1   ->  0.40
242dqrmn321 remaindernear   2.400  1   ->  0.400
243dqrmn322 remaindernear   2.4    1   ->  0.4
244dqrmn323 remaindernear   2.4    2   ->  0.4
245dqrmn324 remaindernear   2.400  2   ->  0.400
246dqrmn325 remaindernear   1   0.3    ->  0.1
247dqrmn326 remaindernear   1   0.30   ->  0.10
248dqrmn327 remaindernear   1   0.300  ->  0.100
249dqrmn328 remaindernear   1   0.3000 ->  0.1000
250dqrmn329 remaindernear   1.0    0.3 ->  0.1
251dqrmn330 remaindernear   1.00   0.3 ->  0.10
252dqrmn331 remaindernear   1.000  0.3 ->  0.100
253dqrmn332 remaindernear   1.0000 0.3 ->  0.1000
254dqrmn333 remaindernear   0.5  2     ->  0.5
255dqrmn334 remaindernear   0.5  2.1   ->  0.5
256dqrmn335 remaindernear   0.5  2.01  ->  0.50
257dqrmn336 remaindernear   0.5  2.001 ->  0.500
258dqrmn337 remaindernear   0.50 2     ->  0.50
259dqrmn338 remaindernear   0.50 2.01  ->  0.50
260dqrmn339 remaindernear   0.50 2.001 ->  0.500
261
262dqrmn340 remaindernear   0.5   0.5000001    ->  -1E-7
263dqrmn341 remaindernear   0.5   0.50000001    ->  -1E-8
264dqrmn342 remaindernear   0.5   0.500000001    ->  -1E-9
265dqrmn343 remaindernear   0.5   0.5000000001    ->  -1E-10
266dqrmn344 remaindernear   0.5   0.50000000001    ->  -1E-11
267dqrmn345 remaindernear   0.5   0.4999999    ->  1E-7
268dqrmn346 remaindernear   0.5   0.49999999    ->  1E-8
269dqrmn347 remaindernear   0.5   0.499999999    ->  1E-9
270dqrmn348 remaindernear   0.5   0.4999999999    ->  1E-10
271dqrmn349 remaindernear   0.5   0.49999999999    ->  1E-11
272dqrmn350 remaindernear   0.5   0.499999999999    ->  1E-12
273
274dqrmn351 remaindernear   0.03  7  ->  0.03
275dqrmn352 remaindernear   5   2    ->  1
276dqrmn353 remaindernear   4.1   2    ->  0.1
277dqrmn354 remaindernear   4.01   2    ->  0.01
278dqrmn355 remaindernear   4.001   2    ->  0.001
279dqrmn356 remaindernear   4.0001   2    ->  0.0001
280dqrmn357 remaindernear   4.00001   2    ->  0.00001
281dqrmn358 remaindernear   4.000001   2    ->  0.000001
282dqrmn359 remaindernear   4.0000001   2    ->  1E-7
283
284dqrmn360 remaindernear   1.2   0.7345 -> -0.2690
285dqrmn361 remaindernear   0.8   12     ->  0.8
286dqrmn362 remaindernear   0.8   0.2    ->  0.0
287dqrmn363 remaindernear   0.8   0.3    -> -0.1
288dqrmn364 remaindernear   0.800   12   ->  0.800
289dqrmn365 remaindernear   0.800   1.7  ->  0.800
290dqrmn366 remaindernear   2.400   2    ->  0.400
291
292-- round to even
293dqrmn371 remaindernear   121     2    ->  1
294dqrmn372 remaindernear   122     2    ->  0
295dqrmn373 remaindernear   123     2    -> -1
296dqrmn374 remaindernear   124     2    ->  0
297dqrmn375 remaindernear   125     2    ->  1
298dqrmn376 remaindernear   126     2    ->  0
299dqrmn377 remaindernear   127     2    -> -1
300
301dqrmn381 remaindernear 12345  1         ->  0
302dqrmn382 remaindernear 12345  1.0001    -> -0.2344
303dqrmn383 remaindernear 12345  1.001     -> -0.333
304dqrmn384 remaindernear 12345  1.01      -> -0.23
305dqrmn385 remaindernear 12345  1.1       -> -0.3
306dqrmn386 remaindernear 12355  4         -> -1
307dqrmn387 remaindernear 12345  4         ->  1
308dqrmn388 remaindernear 12355  4.0001    -> -1.3089
309dqrmn389 remaindernear 12345  4.0001    ->  0.6914
310dqrmn390 remaindernear 12345  4.9       ->  1.9
311dqrmn391 remaindernear 12345  4.99      -> -0.26
312dqrmn392 remaindernear 12345  4.999     ->  2.469
313dqrmn393 remaindernear 12345  4.9999    ->  0.2469
314dqrmn394 remaindernear 12345  5         ->  0
315dqrmn395 remaindernear 12345  5.0001    -> -0.2469
316dqrmn396 remaindernear 12345  5.001     -> -2.469
317dqrmn397 remaindernear 12345  5.01      ->  0.36
318dqrmn398 remaindernear 12345  5.1       -> -2.1
319
320-- the nasty division-by-1 cases
321dqrmn401 remaindernear   0.4         1   ->  0.4
322dqrmn402 remaindernear   0.45        1   ->  0.45
323dqrmn403 remaindernear   0.455       1   ->  0.455
324dqrmn404 remaindernear   0.4555      1   ->  0.4555
325dqrmn405 remaindernear   0.45555     1   ->  0.45555
326dqrmn406 remaindernear   0.455555    1   ->  0.455555
327dqrmn407 remaindernear   0.4555555   1   ->  0.4555555
328dqrmn408 remaindernear   0.45555555  1   ->  0.45555555
329dqrmn409 remaindernear   0.455555555 1   ->  0.455555555
330-- with spill... [412 exercises sticktab loop]
331dqrmn411 remaindernear   0.5         1   ->  0.5
332dqrmn412 remaindernear   0.55        1   -> -0.45
333dqrmn413 remaindernear   0.555       1   -> -0.445
334dqrmn414 remaindernear   0.5555      1   -> -0.4445
335dqrmn415 remaindernear   0.55555     1   -> -0.44445
336dqrmn416 remaindernear   0.555555    1   -> -0.444445
337dqrmn417 remaindernear   0.5555555   1   -> -0.4444445
338dqrmn418 remaindernear   0.55555555  1   -> -0.44444445
339dqrmn419 remaindernear   0.555555555 1   -> -0.444444445
340
341-- folddowns
342dqrmn421 remaindernear   1E+6144        1  ->   NaN Division_impossible
343dqrmn422 remaindernear   1E+6144  1E+6143  ->   0E+6111 Clamped
344dqrmn423 remaindernear   1E+6144  2E+6143  ->   0E+6111 Clamped
345dqrmn424 remaindernear   1E+6144  3E+6143  ->   1.00000000000000000000000000000000E+6143 Clamped
346dqrmn425 remaindernear   1E+6144  4E+6143  ->   2.00000000000000000000000000000000E+6143 Clamped
347dqrmn426 remaindernear   1E+6144  5E+6143  ->   0E+6111 Clamped
348dqrmn427 remaindernear   1E+6144  6E+6143  ->  -2.00000000000000000000000000000000E+6143 Clamped
349dqrmn428 remaindernear   1E+6144  7E+6143  ->   3.00000000000000000000000000000000E+6143 Clamped
350dqrmn429 remaindernear   1E+6144  8E+6143  ->   2.00000000000000000000000000000000E+6143 Clamped
351dqrmn430 remaindernear   1E+6144  9E+6143  ->   1.00000000000000000000000000000000E+6143 Clamped
352-- tinies
353dqrmn431 remaindernear   1E-6175  1E-6176  ->   0E-6176
354dqrmn432 remaindernear   1E-6175  2E-6176  ->   0E-6176
355dqrmn433 remaindernear   1E-6175  3E-6176  ->   1E-6176 Subnormal
356dqrmn434 remaindernear   1E-6175  4E-6176  ->   2E-6176 Subnormal
357dqrmn435 remaindernear   1E-6175  5E-6176  ->   0E-6176
358dqrmn436 remaindernear   1E-6175  6E-6176  ->  -2E-6176 Subnormal
359dqrmn437 remaindernear   1E-6175  7E-6176  ->   3E-6176 Subnormal
360dqrmn438 remaindernear   1E-6175  8E-6176  ->   2E-6176 Subnormal
361dqrmn439 remaindernear   1E-6175  9E-6176  ->   1E-6176 Subnormal
362dqrmn440 remaindernear   1E-6175 10E-6176  ->   0E-6176
363dqrmn441 remaindernear   1E-6175 11E-6176  ->  -1E-6176 Subnormal
364dqrmn442 remaindernear 100E-6175 11E-6176  ->  -1E-6176 Subnormal
365dqrmn443 remaindernear 100E-6175 20E-6176  ->   0E-6176
366dqrmn444 remaindernear 100E-6175 21E-6176  ->  -8E-6176 Subnormal
367dqrmn445 remaindernear 100E-6175 30E-6176  -> 1.0E-6175 Subnormal
368
369-- zero signs
370dqrmn650 remaindernear  1  1 ->  0
371dqrmn651 remaindernear -1  1 -> -0
372dqrmn652 remaindernear  1 -1 ->  0
373dqrmn653 remaindernear -1 -1 -> -0
374dqrmn654 remaindernear  0  1 ->  0
375dqrmn655 remaindernear -0  1 -> -0
376dqrmn656 remaindernear  0 -1 ->  0
377dqrmn657 remaindernear -0 -1 -> -0
378dqrmn658 remaindernear  0.00  1  ->  0.00
379dqrmn659 remaindernear -0.00  1  -> -0.00
380
381-- Specials
382dqrmn680 remaindernear  Inf  -Inf   ->  NaN Invalid_operation
383dqrmn681 remaindernear  Inf  -1000  ->  NaN Invalid_operation
384dqrmn682 remaindernear  Inf  -1     ->  NaN Invalid_operation
385dqrmn683 remaindernear  Inf   0     ->  NaN Invalid_operation
386dqrmn684 remaindernear  Inf  -0     ->  NaN Invalid_operation
387dqrmn685 remaindernear  Inf   1     ->  NaN Invalid_operation
388dqrmn686 remaindernear  Inf   1000  ->  NaN Invalid_operation
389dqrmn687 remaindernear  Inf   Inf   ->  NaN Invalid_operation
390dqrmn688 remaindernear -1000  Inf   -> -1000
391dqrmn689 remaindernear -Inf   Inf   ->  NaN Invalid_operation
392dqrmn691 remaindernear -1     Inf   -> -1
393dqrmn692 remaindernear  0     Inf   ->  0
394dqrmn693 remaindernear -0     Inf   -> -0
395dqrmn694 remaindernear  1     Inf   ->  1
396dqrmn695 remaindernear  1000  Inf   ->  1000
397dqrmn696 remaindernear  Inf   Inf   ->  NaN Invalid_operation
398
399dqrmn700 remaindernear -Inf  -Inf   ->  NaN Invalid_operation
400dqrmn701 remaindernear -Inf  -1000  ->  NaN Invalid_operation
401dqrmn702 remaindernear -Inf  -1     ->  NaN Invalid_operation
402dqrmn703 remaindernear -Inf  -0     ->  NaN Invalid_operation
403dqrmn704 remaindernear -Inf   0     ->  NaN Invalid_operation
404dqrmn705 remaindernear -Inf   1     ->  NaN Invalid_operation
405dqrmn706 remaindernear -Inf   1000  ->  NaN Invalid_operation
406dqrmn707 remaindernear -Inf   Inf   ->  NaN Invalid_operation
407dqrmn708 remaindernear -Inf  -Inf   ->  NaN Invalid_operation
408dqrmn709 remaindernear -1000  Inf   -> -1000
409dqrmn710 remaindernear -1    -Inf   -> -1
410dqrmn711 remaindernear -0    -Inf   -> -0
411dqrmn712 remaindernear  0    -Inf   ->  0
412dqrmn713 remaindernear  1    -Inf   ->  1
413dqrmn714 remaindernear  1000 -Inf   ->  1000
414dqrmn715 remaindernear  Inf  -Inf   ->  NaN Invalid_operation
415
416dqrmn721 remaindernear  NaN -Inf    ->  NaN
417dqrmn722 remaindernear  NaN -1000   ->  NaN
418dqrmn723 remaindernear  NaN -1      ->  NaN
419dqrmn724 remaindernear  NaN -0      ->  NaN
420dqrmn725 remaindernear -NaN  0      -> -NaN
421dqrmn726 remaindernear  NaN  1      ->  NaN
422dqrmn727 remaindernear  NaN  1000   ->  NaN
423dqrmn728 remaindernear  NaN  Inf    ->  NaN
424dqrmn729 remaindernear  NaN -NaN    ->  NaN
425dqrmn730 remaindernear -Inf  NaN    ->  NaN
426dqrmn731 remaindernear -1000 NaN    ->  NaN
427dqrmn732 remaindernear -1    NaN    ->  NaN
428dqrmn733 remaindernear -0   -NaN    -> -NaN
429dqrmn734 remaindernear  0    NaN    ->  NaN
430dqrmn735 remaindernear  1   -NaN    -> -NaN
431dqrmn736 remaindernear  1000 NaN    ->  NaN
432dqrmn737 remaindernear  Inf  NaN    ->  NaN
433
434dqrmn741 remaindernear  sNaN -Inf   ->  NaN  Invalid_operation
435dqrmn742 remaindernear  sNaN -1000  ->  NaN  Invalid_operation
436dqrmn743 remaindernear -sNaN -1     -> -NaN  Invalid_operation
437dqrmn744 remaindernear  sNaN -0     ->  NaN  Invalid_operation
438dqrmn745 remaindernear  sNaN  0     ->  NaN  Invalid_operation
439dqrmn746 remaindernear  sNaN  1     ->  NaN  Invalid_operation
440dqrmn747 remaindernear  sNaN  1000  ->  NaN  Invalid_operation
441dqrmn749 remaindernear  sNaN  NaN   ->  NaN  Invalid_operation
442dqrmn750 remaindernear  sNaN sNaN   ->  NaN  Invalid_operation
443dqrmn751 remaindernear  NaN  sNaN   ->  NaN  Invalid_operation
444dqrmn752 remaindernear -Inf  sNaN   ->  NaN  Invalid_operation
445dqrmn753 remaindernear -1000 sNaN   ->  NaN  Invalid_operation
446dqrmn754 remaindernear -1    sNaN   ->  NaN  Invalid_operation
447dqrmn755 remaindernear -0    sNaN   ->  NaN  Invalid_operation
448dqrmn756 remaindernear  0    sNaN   ->  NaN  Invalid_operation
449dqrmn757 remaindernear  1    sNaN   ->  NaN  Invalid_operation
450dqrmn758 remaindernear  1000 sNaN   ->  NaN  Invalid_operation
451dqrmn759 remaindernear  Inf -sNaN   -> -NaN  Invalid_operation
452
453-- propaging NaNs
454dqrmn760 remaindernear  NaN1   NaN7   ->  NaN1
455dqrmn761 remaindernear sNaN2   NaN8   ->  NaN2 Invalid_operation
456dqrmn762 remaindernear  NaN3  sNaN9   ->  NaN9 Invalid_operation
457dqrmn763 remaindernear sNaN4  sNaN10  ->  NaN4 Invalid_operation
458dqrmn764 remaindernear    15   NaN11  ->  NaN11
459dqrmn765 remaindernear  NaN6   NaN12  ->  NaN6
460dqrmn766 remaindernear  Inf    NaN13  ->  NaN13
461dqrmn767 remaindernear  NaN14  -Inf   ->  NaN14
462dqrmn768 remaindernear    0    NaN15  ->  NaN15
463dqrmn769 remaindernear  NaN16   -0    ->  NaN16
464
465-- edge cases of impossible
466dqrmn770  remaindernear  1234500000000000000000067890123456  10    -> -4
467dqrmn771  remaindernear  1234500000000000000000067890123456   1    ->  0
468dqrmn772  remaindernear  1234500000000000000000067890123456   0.1  ->  NaN Division_impossible
469dqrmn773  remaindernear  1234500000000000000000067890123456   0.01 ->  NaN Division_impossible
470
471-- long operand checks
472dqrmn801 remaindernear 12345678000 100 -> 0
473dqrmn802 remaindernear 1 12345678000   -> 1
474dqrmn803 remaindernear 1234567800  10  -> 0
475dqrmn804 remaindernear 1 1234567800    -> 1
476dqrmn805 remaindernear 1234567890  10  -> 0
477dqrmn806 remaindernear 1 1234567890    -> 1
478dqrmn807 remaindernear 1234567891  10  -> 1
479dqrmn808 remaindernear 1 1234567891    -> 1
480dqrmn809 remaindernear 12345678901 100 -> 1
481dqrmn810 remaindernear 1 12345678901   -> 1
482dqrmn811 remaindernear 1234567896  10  -> -4
483dqrmn812 remaindernear 1 1234567896    -> 1
484
485dqrmn821 remaindernear 12345678000 100 -> 0
486dqrmn822 remaindernear 1 12345678000   -> 1
487dqrmn823 remaindernear 1234567800  10  -> 0
488dqrmn824 remaindernear 1 1234567800    -> 1
489dqrmn825 remaindernear 1234567890  10  -> 0
490dqrmn826 remaindernear 1 1234567890    -> 1
491dqrmn827 remaindernear 1234567891  10  -> 1
492dqrmn828 remaindernear 1 1234567891    -> 1
493dqrmn829 remaindernear 12345678901 100 -> 1
494dqrmn830 remaindernear 1 12345678901   -> 1
495dqrmn831 remaindernear 1234567896  10  -> -4
496dqrmn832 remaindernear 1 1234567896    -> 1
497
498-- from divideint
499dqrmn840 remaindernear  100000000.0   1  ->  0.0
500dqrmn841 remaindernear  100000000.4   1  ->  0.4
501dqrmn842 remaindernear  100000000.5   1  ->  0.5
502dqrmn843 remaindernear  100000000.9   1  -> -0.1
503dqrmn844 remaindernear  100000000.999 1  -> -0.001
504dqrmn850 remaindernear  100000003     5  -> -2
505dqrmn851 remaindernear  10000003      5  -> -2
506dqrmn852 remaindernear  1000003       5  -> -2
507dqrmn853 remaindernear  100003        5  -> -2
508dqrmn854 remaindernear  10003         5  -> -2
509dqrmn855 remaindernear  1003          5  -> -2
510dqrmn856 remaindernear  103           5  -> -2
511dqrmn857 remaindernear  13            5  -> -2
512dqrmn858 remaindernear  1             5  ->  1
513
514-- Vladimir's cases         1234567890123456
515dqrmn860 remaindernear 123.0e1 1000000000000000  -> 1230
516dqrmn861 remaindernear 1230    1000000000000000  -> 1230
517dqrmn862 remaindernear 12.3e2  1000000000000000  -> 1230
518dqrmn863 remaindernear 1.23e3  1000000000000000  -> 1230
519dqrmn864 remaindernear 123e1   1000000000000000  -> 1230
520dqrmn870 remaindernear 123e1    1000000000000000 -> 1230
521dqrmn871 remaindernear 123e1     100000000000000 -> 1230
522dqrmn872 remaindernear 123e1      10000000000000 -> 1230
523dqrmn873 remaindernear 123e1       1000000000000 -> 1230
524dqrmn874 remaindernear 123e1        100000000000 -> 1230
525dqrmn875 remaindernear 123e1         10000000000 -> 1230
526dqrmn876 remaindernear 123e1          1000000000 -> 1230
527dqrmn877 remaindernear 123e1           100000000 -> 1230
528dqrmn878 remaindernear 1230            100000000 -> 1230
529dqrmn879 remaindernear 123e1            10000000 -> 1230
530dqrmn880 remaindernear 123e1             1000000 -> 1230
531dqrmn881 remaindernear 123e1              100000 -> 1230
532dqrmn882 remaindernear 123e1               10000 -> 1230
533dqrmn883 remaindernear 123e1                1000 ->  230
534dqrmn884 remaindernear 123e1                 100 ->   30
535dqrmn885 remaindernear 123e1                  10 ->    0
536dqrmn886 remaindernear 123e1                   1 ->    0
537
538dqrmn890 remaindernear 123e1    2000000000000000 -> 1230
539dqrmn891 remaindernear 123e1     200000000000000 -> 1230
540dqrmn892 remaindernear 123e1      20000000000000 -> 1230
541dqrmn893 remaindernear 123e1       2000000000000 -> 1230
542dqrmn894 remaindernear 123e1        200000000000 -> 1230
543dqrmn895 remaindernear 123e1         20000000000 -> 1230
544dqrmn896 remaindernear 123e1          2000000000 -> 1230
545dqrmn897 remaindernear 123e1           200000000 -> 1230
546dqrmn899 remaindernear 123e1            20000000 -> 1230
547dqrmn900 remaindernear 123e1             2000000 -> 1230
548dqrmn901 remaindernear 123e1              200000 -> 1230
549dqrmn902 remaindernear 123e1               20000 -> 1230
550dqrmn903 remaindernear 123e1                2000 -> -770
551dqrmn904 remaindernear 123e1                 200 ->   30
552dqrmn905 remaindernear 123e1                  20 ->  -10
553dqrmn906 remaindernear 123e1                   2 ->    0
554
555dqrmn910 remaindernear 123e1    5000000000000000 -> 1230
556dqrmn911 remaindernear 123e1     500000000000000 -> 1230
557dqrmn912 remaindernear 123e1      50000000000000 -> 1230
558dqrmn913 remaindernear 123e1       5000000000000 -> 1230
559dqrmn914 remaindernear 123e1        500000000000 -> 1230
560dqrmn915 remaindernear 123e1         50000000000 -> 1230
561dqrmn916 remaindernear 123e1          5000000000 -> 1230
562dqrmn917 remaindernear 123e1           500000000 -> 1230
563dqrmn919 remaindernear 123e1            50000000 -> 1230
564dqrmn920 remaindernear 123e1             5000000 -> 1230
565dqrmn921 remaindernear 123e1              500000 -> 1230
566dqrmn922 remaindernear 123e1               50000 -> 1230
567dqrmn923 remaindernear 123e1                5000 -> 1230
568dqrmn924 remaindernear 123e1                 500 ->  230
569dqrmn925 remaindernear 123e1                  50 ->  -20
570dqrmn926 remaindernear 123e1                   5 ->    0
571
572dqrmn930 remaindernear 123e1    9000000000000000 -> 1230
573dqrmn931 remaindernear 123e1     900000000000000 -> 1230
574dqrmn932 remaindernear 123e1      90000000000000 -> 1230
575dqrmn933 remaindernear 123e1       9000000000000 -> 1230
576dqrmn934 remaindernear 123e1        900000000000 -> 1230
577dqrmn935 remaindernear 123e1         90000000000 -> 1230
578dqrmn936 remaindernear 123e1          9000000000 -> 1230
579dqrmn937 remaindernear 123e1           900000000 -> 1230
580dqrmn939 remaindernear 123e1            90000000 -> 1230
581dqrmn940 remaindernear 123e1             9000000 -> 1230
582dqrmn941 remaindernear 123e1              900000 -> 1230
583dqrmn942 remaindernear 123e1               90000 -> 1230
584dqrmn943 remaindernear 123e1                9000 -> 1230
585dqrmn944 remaindernear 123e1                 900 ->  330
586dqrmn945 remaindernear 123e1                  90 ->  -30
587dqrmn946 remaindernear 123e1                   9 ->   -3
588
589dqrmn950 remaindernear 123e1   1000000000000000 -> 1230
590dqrmn961 remaindernear 123e1   2999999999999999 -> 1230
591dqrmn962 remaindernear 123e1   3999999999999999 -> 1230
592dqrmn963 remaindernear 123e1   4999999999999999 -> 1230
593dqrmn964 remaindernear 123e1   5999999999999999 -> 1230
594dqrmn965 remaindernear 123e1   6999999999999999 -> 1230
595dqrmn966 remaindernear 123e1   7999999999999999 -> 1230
596dqrmn967 remaindernear 123e1   8999999999999999 -> 1230
597dqrmn968 remaindernear 123e1   9999999999999999 -> 1230
598dqrmn969 remaindernear 123e1   9876543210987654 -> 1230
599
600dqrmn980 remaindernear 123e1 1000E299 -> 1.23E+3  -- 123E+1 internally
601
602-- overflow and underflow tests [from divide]
603dqrmn1051 remaindernear  1e+277  1e-311 ->  NaN Division_impossible
604dqrmn1052 remaindernear  1e+277 -1e-311 ->  NaN Division_impossible
605dqrmn1053 remaindernear -1e+277  1e-311 ->  NaN Division_impossible
606dqrmn1054 remaindernear -1e+277 -1e-311 ->  NaN Division_impossible
607dqrmn1055 remaindernear  1e-277  1e+311 ->  1E-277
608dqrmn1056 remaindernear  1e-277 -1e+311 ->  1E-277
609dqrmn1057 remaindernear -1e-277  1e+311 -> -1E-277
610dqrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277
611
612-- Gyuris example
613dqrmn1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143
614
615-- destructive subtract
616dqrmn1101  remaindernear  1234567890123456789012345678901234  1.000000000000000000000000000000001  ->  -0.234567890123456789012345678901233
617dqrmn1102  remaindernear  1234567890123456789012345678901234   1.00000000000000000000000000000001  ->   -0.34567890123456789012345678901222
618dqrmn1103  remaindernear  1234567890123456789012345678901234    1.0000000000000000000000000000001  ->    -0.4567890123456789012345678901111
619dqrmn1104  remaindernear  1234567890123456789012345678901255  4.000000000000000000000000000000001  ->  -1.308641972530864197253086419725314
620dqrmn1105  remaindernear  1234567890123456789012345678901234  4.000000000000000000000000000000001  ->   1.691358027469135802746913580274692
621dqrmn1106  remaindernear  1234567890123456789012345678901234    4.9999999999999999999999999999999  ->    -1.3086421975308642197530864219748
622dqrmn1107  remaindernear  1234567890123456789012345678901234   4.99999999999999999999999999999999  ->    1.46913578024691357802469135780247
623dqrmn1108  remaindernear  1234567890123456789012345678901234  4.999999999999999999999999999999999  ->  -0.753086421975308642197530864219753
624dqrmn1109  remaindernear  1234567890123456789012345678901234  5.000000000000000000000000000000001  ->  -1.246913578024691357802469135780247
625dqrmn1110  remaindernear  1234567890123456789012345678901234   5.00000000000000000000000000000001  ->    1.53086421975308642197530864219754
626dqrmn1111  remaindernear  1234567890123456789012345678901234    5.0000000000000000000000000000001  ->    -0.6913578024691357802469135780242
627
628-- Null tests
629dqrmn1000 remaindernear 10  # -> NaN Invalid_operation
630dqrmn1001 remaindernear  # 10 -> NaN Invalid_operation
631