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1 ------------------------------------------------------------------------
2 -- dqSubtract.decTest -- decQuad subtraction --
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: 2.59
21
22 -- This set of tests are for decQuads only; all arguments are
23 -- representable in a decQuad
24 extended: 1
25 clamp: 1
26 precision: 34
27 maxExponent: 6144
28 minExponent: -6143
29 rounding: half_even
30
31 -- [first group are 'quick confidence check']
32 dqsub001 subtract 0 0 -> '0'
33 dqsub002 subtract 1 1 -> '0'
34 dqsub003 subtract 1 2 -> '-1'
35 dqsub004 subtract 2 1 -> '1'
36 dqsub005 subtract 2 2 -> '0'
37 dqsub006 subtract 3 2 -> '1'
38 dqsub007 subtract 2 3 -> '-1'
39
40 dqsub011 subtract -0 0 -> '-0'
41 dqsub012 subtract -1 1 -> '-2'
42 dqsub013 subtract -1 2 -> '-3'
43 dqsub014 subtract -2 1 -> '-3'
44 dqsub015 subtract -2 2 -> '-4'
45 dqsub016 subtract -3 2 -> '-5'
46 dqsub017 subtract -2 3 -> '-5'
47
48 dqsub021 subtract 0 -0 -> '0'
49 dqsub022 subtract 1 -1 -> '2'
50 dqsub023 subtract 1 -2 -> '3'
51 dqsub024 subtract 2 -1 -> '3'
52 dqsub025 subtract 2 -2 -> '4'
53 dqsub026 subtract 3 -2 -> '5'
54 dqsub027 subtract 2 -3 -> '5'
55
56 dqsub030 subtract 11 1 -> 10
57 dqsub031 subtract 10 1 -> 9
58 dqsub032 subtract 9 1 -> 8
59 dqsub033 subtract 1 1 -> 0
60 dqsub034 subtract 0 1 -> -1
61 dqsub035 subtract -1 1 -> -2
62 dqsub036 subtract -9 1 -> -10
63 dqsub037 subtract -10 1 -> -11
64 dqsub038 subtract -11 1 -> -12
65
66 dqsub040 subtract '5.75' '3.3' -> '2.45'
67 dqsub041 subtract '5' '-3' -> '8'
68 dqsub042 subtract '-5' '-3' -> '-2'
69 dqsub043 subtract '-7' '2.5' -> '-9.5'
70 dqsub044 subtract '0.7' '0.3' -> '0.4'
71 dqsub045 subtract '1.3' '0.3' -> '1.0'
72 dqsub046 subtract '1.25' '1.25' -> '0.00'
73
74 dqsub050 subtract '1.23456789' '1.00000000' -> '0.23456789'
75 dqsub051 subtract '1.23456789' '1.00000089' -> '0.23456700'
76
77 dqsub060 subtract '70' '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded
78 dqsub061 subtract '700' '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded
79 dqsub062 subtract '7000' '10000e+34' -> '-9.999999999999999999999999999999999E+37' Inexact Rounded
80 dqsub063 subtract '70000' '10000e+34' -> '-9.999999999999999999999999999999993E+37' Rounded
81 dqsub064 subtract '700000' '10000e+34' -> '-9.999999999999999999999999999999930E+37' Rounded
82 -- symmetry:
83 dqsub065 subtract '10000e+34' '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded
84 dqsub066 subtract '10000e+34' '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded
85 dqsub067 subtract '10000e+34' '7000' -> '9.999999999999999999999999999999999E+37' Inexact Rounded
86 dqsub068 subtract '10000e+34' '70000' -> '9.999999999999999999999999999999993E+37' Rounded
87 dqsub069 subtract '10000e+34' '700000' -> '9.999999999999999999999999999999930E+37' Rounded
88
89 -- some of the next group are really constructor tests
90 dqsub090 subtract '00.0' '0.0' -> '0.0'
91 dqsub091 subtract '00.0' '0.00' -> '0.00'
92 dqsub092 subtract '0.00' '00.0' -> '0.00'
93 dqsub093 subtract '00.0' '0.00' -> '0.00'
94 dqsub094 subtract '0.00' '00.0' -> '0.00'
95 dqsub095 subtract '3' '.3' -> '2.7'
96 dqsub096 subtract '3.' '.3' -> '2.7'
97 dqsub097 subtract '3.0' '.3' -> '2.7'
98 dqsub098 subtract '3.00' '.3' -> '2.70'
99 dqsub099 subtract '3' '3' -> '0'
100 dqsub100 subtract '3' '+3' -> '0'
101 dqsub101 subtract '3' '-3' -> '6'
102 dqsub102 subtract '3' '0.3' -> '2.7'
103 dqsub103 subtract '3.' '0.3' -> '2.7'
104 dqsub104 subtract '3.0' '0.3' -> '2.7'
105 dqsub105 subtract '3.00' '0.3' -> '2.70'
106 dqsub106 subtract '3' '3.0' -> '0.0'
107 dqsub107 subtract '3' '+3.0' -> '0.0'
108 dqsub108 subtract '3' '-3.0' -> '6.0'
109
110 -- the above all from add; massaged and extended. Now some new ones...
111 -- [particularly important for comparisons]
112 -- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7
113 -- with input rounding.
114 dqsub120 subtract '10.23456784' '10.23456789' -> '-5E-8'
115 dqsub121 subtract '10.23456785' '10.23456789' -> '-4E-8'
116 dqsub122 subtract '10.23456786' '10.23456789' -> '-3E-8'
117 dqsub123 subtract '10.23456787' '10.23456789' -> '-2E-8'
118 dqsub124 subtract '10.23456788' '10.23456789' -> '-1E-8'
119 dqsub125 subtract '10.23456789' '10.23456789' -> '0E-8'
120 dqsub126 subtract '10.23456790' '10.23456789' -> '1E-8'
121 dqsub127 subtract '10.23456791' '10.23456789' -> '2E-8'
122 dqsub128 subtract '10.23456792' '10.23456789' -> '3E-8'
123 dqsub129 subtract '10.23456793' '10.23456789' -> '4E-8'
124 dqsub130 subtract '10.23456794' '10.23456789' -> '5E-8'
125 dqsub131 subtract '10.23456781' '10.23456786' -> '-5E-8'
126 dqsub132 subtract '10.23456782' '10.23456786' -> '-4E-8'
127 dqsub133 subtract '10.23456783' '10.23456786' -> '-3E-8'
128 dqsub134 subtract '10.23456784' '10.23456786' -> '-2E-8'
129 dqsub135 subtract '10.23456785' '10.23456786' -> '-1E-8'
130 dqsub136 subtract '10.23456786' '10.23456786' -> '0E-8'
131 dqsub137 subtract '10.23456787' '10.23456786' -> '1E-8'
132 dqsub138 subtract '10.23456788' '10.23456786' -> '2E-8'
133 dqsub139 subtract '10.23456789' '10.23456786' -> '3E-8'
134 dqsub140 subtract '10.23456790' '10.23456786' -> '4E-8'
135 dqsub141 subtract '10.23456791' '10.23456786' -> '5E-8'
136 dqsub142 subtract '1' '0.999999999' -> '1E-9'
137 dqsub143 subtract '0.999999999' '1' -> '-1E-9'
138 dqsub144 subtract '-10.23456780' '-10.23456786' -> '6E-8'
139 dqsub145 subtract '-10.23456790' '-10.23456786' -> '-4E-8'
140 dqsub146 subtract '-10.23456791' '-10.23456786' -> '-5E-8'
141
142 -- additional scaled arithmetic tests [0.97 problem]
143 dqsub160 subtract '0' '.1' -> '-0.1'
144 dqsub161 subtract '00' '.97983' -> '-0.97983'
145 dqsub162 subtract '0' '.9' -> '-0.9'
146 dqsub163 subtract '0' '0.102' -> '-0.102'
147 dqsub164 subtract '0' '.4' -> '-0.4'
148 dqsub165 subtract '0' '.307' -> '-0.307'
149 dqsub166 subtract '0' '.43822' -> '-0.43822'
150 dqsub167 subtract '0' '.911' -> '-0.911'
151 dqsub168 subtract '.0' '.02' -> '-0.02'
152 dqsub169 subtract '00' '.392' -> '-0.392'
153 dqsub170 subtract '0' '.26' -> '-0.26'
154 dqsub171 subtract '0' '0.51' -> '-0.51'
155 dqsub172 subtract '0' '.2234' -> '-0.2234'
156 dqsub173 subtract '0' '.2' -> '-0.2'
157 dqsub174 subtract '.0' '.0008' -> '-0.0008'
158 -- 0. on left
159 dqsub180 subtract '0.0' '-.1' -> '0.1'
160 dqsub181 subtract '0.00' '-.97983' -> '0.97983'
161 dqsub182 subtract '0.0' '-.9' -> '0.9'
162 dqsub183 subtract '0.0' '-0.102' -> '0.102'
163 dqsub184 subtract '0.0' '-.4' -> '0.4'
164 dqsub185 subtract '0.0' '-.307' -> '0.307'
165 dqsub186 subtract '0.0' '-.43822' -> '0.43822'
166 dqsub187 subtract '0.0' '-.911' -> '0.911'
167 dqsub188 subtract '0.0' '-.02' -> '0.02'
168 dqsub189 subtract '0.00' '-.392' -> '0.392'
169 dqsub190 subtract '0.0' '-.26' -> '0.26'
170 dqsub191 subtract '0.0' '-0.51' -> '0.51'
171 dqsub192 subtract '0.0' '-.2234' -> '0.2234'
172 dqsub193 subtract '0.0' '-.2' -> '0.2'
173 dqsub194 subtract '0.0' '-.0008' -> '0.0008'
174 -- negatives of same
175 dqsub200 subtract '0' '-.1' -> '0.1'
176 dqsub201 subtract '00' '-.97983' -> '0.97983'
177 dqsub202 subtract '0' '-.9' -> '0.9'
178 dqsub203 subtract '0' '-0.102' -> '0.102'
179 dqsub204 subtract '0' '-.4' -> '0.4'
180 dqsub205 subtract '0' '-.307' -> '0.307'
181 dqsub206 subtract '0' '-.43822' -> '0.43822'
182 dqsub207 subtract '0' '-.911' -> '0.911'
183 dqsub208 subtract '.0' '-.02' -> '0.02'
184 dqsub209 subtract '00' '-.392' -> '0.392'
185 dqsub210 subtract '0' '-.26' -> '0.26'
186 dqsub211 subtract '0' '-0.51' -> '0.51'
187 dqsub212 subtract '0' '-.2234' -> '0.2234'
188 dqsub213 subtract '0' '-.2' -> '0.2'
189 dqsub214 subtract '.0' '-.0008' -> '0.0008'
190
191 -- more fixed, LHS swaps [really the same as testcases under add]
192 dqsub220 subtract '-56267E-12' 0 -> '-5.6267E-8'
193 dqsub221 subtract '-56267E-11' 0 -> '-5.6267E-7'
194 dqsub222 subtract '-56267E-10' 0 -> '-0.0000056267'
195 dqsub223 subtract '-56267E-9' 0 -> '-0.000056267'
196 dqsub224 subtract '-56267E-8' 0 -> '-0.00056267'
197 dqsub225 subtract '-56267E-7' 0 -> '-0.0056267'
198 dqsub226 subtract '-56267E-6' 0 -> '-0.056267'
199 dqsub227 subtract '-56267E-5' 0 -> '-0.56267'
200 dqsub228 subtract '-56267E-2' 0 -> '-562.67'
201 dqsub229 subtract '-56267E-1' 0 -> '-5626.7'
202 dqsub230 subtract '-56267E-0' 0 -> '-56267'
203 -- symmetry ...
204 dqsub240 subtract 0 '-56267E-12' -> '5.6267E-8'
205 dqsub241 subtract 0 '-56267E-11' -> '5.6267E-7'
206 dqsub242 subtract 0 '-56267E-10' -> '0.0000056267'
207 dqsub243 subtract 0 '-56267E-9' -> '0.000056267'
208 dqsub244 subtract 0 '-56267E-8' -> '0.00056267'
209 dqsub245 subtract 0 '-56267E-7' -> '0.0056267'
210 dqsub246 subtract 0 '-56267E-6' -> '0.056267'
211 dqsub247 subtract 0 '-56267E-5' -> '0.56267'
212 dqsub248 subtract 0 '-56267E-2' -> '562.67'
213 dqsub249 subtract 0 '-56267E-1' -> '5626.7'
214 dqsub250 subtract 0 '-56267E-0' -> '56267'
215
216 -- now some more from the 'new' add
217 dqsub301 subtract '1.23456789' '1.00000000' -> '0.23456789'
218 dqsub302 subtract '1.23456789' '1.00000011' -> '0.23456778'
219
220 -- some carrying effects
221 dqsub321 subtract '0.9998' '0.0000' -> '0.9998'
222 dqsub322 subtract '0.9998' '0.0001' -> '0.9997'
223 dqsub323 subtract '0.9998' '0.0002' -> '0.9996'
224 dqsub324 subtract '0.9998' '0.0003' -> '0.9995'
225 dqsub325 subtract '0.9998' '-0.0000' -> '0.9998'
226 dqsub326 subtract '0.9998' '-0.0001' -> '0.9999'
227 dqsub327 subtract '0.9998' '-0.0002' -> '1.0000'
228 dqsub328 subtract '0.9998' '-0.0003' -> '1.0001'
229
230 -- internal boundaries
231 dqsub346 subtract '10000e+9' '7' -> '9999999999993'
232 dqsub347 subtract '10000e+9' '70' -> '9999999999930'
233 dqsub348 subtract '10000e+9' '700' -> '9999999999300'
234 dqsub349 subtract '10000e+9' '7000' -> '9999999993000'
235 dqsub350 subtract '10000e+9' '70000' -> '9999999930000'
236 dqsub351 subtract '10000e+9' '700000' -> '9999999300000'
237 dqsub352 subtract '7' '10000e+9' -> '-9999999999993'
238 dqsub353 subtract '70' '10000e+9' -> '-9999999999930'
239 dqsub354 subtract '700' '10000e+9' -> '-9999999999300'
240 dqsub355 subtract '7000' '10000e+9' -> '-9999999993000'
241 dqsub356 subtract '70000' '10000e+9' -> '-9999999930000'
242 dqsub357 subtract '700000' '10000e+9' -> '-9999999300000'
243
244 -- zero preservation
245 dqsub361 subtract 1 '0.0001' -> '0.9999'
246 dqsub362 subtract 1 '0.00001' -> '0.99999'
247 dqsub363 subtract 1 '0.000001' -> '0.999999'
248 dqsub364 subtract 1 '0.0000000000000000000000000000000001' -> '0.9999999999999999999999999999999999'
249 dqsub365 subtract 1 '0.00000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded
250 dqsub366 subtract 1 '0.000000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded
251
252 -- some funny zeros [in case of bad signum]
253 dqsub370 subtract 1 0 -> 1
254 dqsub371 subtract 1 0. -> 1
255 dqsub372 subtract 1 .0 -> 1.0
256 dqsub373 subtract 1 0.0 -> 1.0
257 dqsub374 subtract 0 1 -> -1
258 dqsub375 subtract 0. 1 -> -1
259 dqsub376 subtract .0 1 -> -1.0
260 dqsub377 subtract 0.0 1 -> -1.0
261
262 -- leading 0 digit before round
263 dqsub910 subtract -103519362 -51897955.3 -> -51621406.7
264 dqsub911 subtract 159579.444 89827.5229 -> 69751.9211
265
266 dqsub920 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234566 -> 299.9999999999999999999999999999999 Inexact Rounded
267 dqsub921 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234565 -> 300.0000000000000000000000000000000 Inexact Rounded
268 dqsub922 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234565 -> 99.99999999999999999999999999999995
269 dqsub923 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234564 -> 99.99999999999999999999999999999996
270 dqsub924 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234540 -> 100.0000000000000000000000000000002 Rounded
271 dqsub925 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234560 -> 90.00000000000000000000000000000000
272 dqsub926 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234561 -> 89.99999999999999999999999999999999
273 dqsub927 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234566 -> 89.99999999999999999999999999999994
274 dqsub928 subtract 101.0000000000000000000000000123456 91.00000000000000000000000001234566 -> 9.99999999999999999999999999999994
275 dqsub929 subtract 101.0000000000000000000000000123456 99.00000000000000000000000001234566 -> 1.99999999999999999999999999999994
276
277 -- more LHS swaps [were fixed]
278 dqsub390 subtract '-56267E-10' 0 -> '-0.0000056267'
279 dqsub391 subtract '-56267E-6' 0 -> '-0.056267'
280 dqsub392 subtract '-56267E-5' 0 -> '-0.56267'
281 dqsub393 subtract '-56267E-4' 0 -> '-5.6267'
282 dqsub394 subtract '-56267E-3' 0 -> '-56.267'
283 dqsub395 subtract '-56267E-2' 0 -> '-562.67'
284 dqsub396 subtract '-56267E-1' 0 -> '-5626.7'
285 dqsub397 subtract '-56267E-0' 0 -> '-56267'
286 dqsub398 subtract '-5E-10' 0 -> '-5E-10'
287 dqsub399 subtract '-5E-7' 0 -> '-5E-7'
288 dqsub400 subtract '-5E-6' 0 -> '-0.000005'
289 dqsub401 subtract '-5E-5' 0 -> '-0.00005'
290 dqsub402 subtract '-5E-4' 0 -> '-0.0005'
291 dqsub403 subtract '-5E-1' 0 -> '-0.5'
292 dqsub404 subtract '-5E0' 0 -> '-5'
293 dqsub405 subtract '-5E1' 0 -> '-50'
294 dqsub406 subtract '-5E5' 0 -> '-500000'
295 dqsub407 subtract '-5E33' 0 -> '-5000000000000000000000000000000000'
296 dqsub408 subtract '-5E34' 0 -> '-5.000000000000000000000000000000000E+34' Rounded
297 dqsub409 subtract '-5E35' 0 -> '-5.000000000000000000000000000000000E+35' Rounded
298 dqsub410 subtract '-5E36' 0 -> '-5.000000000000000000000000000000000E+36' Rounded
299 dqsub411 subtract '-5E100' 0 -> '-5.000000000000000000000000000000000E+100' Rounded
300
301 -- more RHS swaps [were fixed]
302 dqsub420 subtract 0 '-56267E-10' -> '0.0000056267'
303 dqsub421 subtract 0 '-56267E-6' -> '0.056267'
304 dqsub422 subtract 0 '-56267E-5' -> '0.56267'
305 dqsub423 subtract 0 '-56267E-4' -> '5.6267'
306 dqsub424 subtract 0 '-56267E-3' -> '56.267'
307 dqsub425 subtract 0 '-56267E-2' -> '562.67'
308 dqsub426 subtract 0 '-56267E-1' -> '5626.7'
309 dqsub427 subtract 0 '-56267E-0' -> '56267'
310 dqsub428 subtract 0 '-5E-10' -> '5E-10'
311 dqsub429 subtract 0 '-5E-7' -> '5E-7'
312 dqsub430 subtract 0 '-5E-6' -> '0.000005'
313 dqsub431 subtract 0 '-5E-5' -> '0.00005'
314 dqsub432 subtract 0 '-5E-4' -> '0.0005'
315 dqsub433 subtract 0 '-5E-1' -> '0.5'
316 dqsub434 subtract 0 '-5E0' -> '5'
317 dqsub435 subtract 0 '-5E1' -> '50'
318 dqsub436 subtract 0 '-5E5' -> '500000'
319 dqsub437 subtract 0 '-5E33' -> '5000000000000000000000000000000000'
320 dqsub438 subtract 0 '-5E34' -> '5.000000000000000000000000000000000E+34' Rounded
321 dqsub439 subtract 0 '-5E35' -> '5.000000000000000000000000000000000E+35' Rounded
322 dqsub440 subtract 0 '-5E36' -> '5.000000000000000000000000000000000E+36' Rounded
323 dqsub441 subtract 0 '-5E100' -> '5.000000000000000000000000000000000E+100' Rounded
324
325
326 -- try borderline precision, with carries, etc.
327 dqsub461 subtract '1E+16' '1' -> '9999999999999999'
328 dqsub462 subtract '1E+12' '-1.111' -> '1000000000001.111'
329 dqsub463 subtract '1.111' '-1E+12' -> '1000000000001.111'
330 dqsub464 subtract '-1' '-1E+16' -> '9999999999999999'
331 dqsub465 subtract '7E+15' '1' -> '6999999999999999'
332 dqsub466 subtract '7E+12' '-1.111' -> '7000000000001.111'
333 dqsub467 subtract '1.111' '-7E+12' -> '7000000000001.111'
334 dqsub468 subtract '-1' '-7E+15' -> '6999999999999999'
335
336 -- 1234567890123456 1234567890123456 1 23456789012345
337 dqsub470 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555563' -> '1.000000000000000000000000000000001' Inexact Rounded
338 dqsub471 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555562' -> '1.000000000000000000000000000000001' Inexact Rounded
339 dqsub472 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555561' -> '1.000000000000000000000000000000000' Inexact Rounded
340 dqsub473 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555560' -> '1.000000000000000000000000000000000' Inexact Rounded
341 dqsub474 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555559' -> '1.000000000000000000000000000000000' Inexact Rounded
342 dqsub475 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555558' -> '1.000000000000000000000000000000000' Inexact Rounded
343 dqsub476 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555557' -> '1.000000000000000000000000000000000' Inexact Rounded
344 dqsub477 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555556' -> '1.000000000000000000000000000000000' Rounded
345 dqsub478 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999'
346 dqsub479 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555554' -> '0.9999999999999999999999999999999998'
347 dqsub480 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555553' -> '0.9999999999999999999999999999999997'
348 dqsub481 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555552' -> '0.9999999999999999999999999999999996'
349 dqsub482 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555551' -> '0.9999999999999999999999999999999995'
350 dqsub483 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555550' -> '0.9999999999999999999999999999999994'
351
352 -- and some more, including residue effects and different roundings
353 rounding: half_up
354 dqsub500 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789'
355 dqsub501 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456789' Inexact Rounded
356 dqsub502 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456789' Inexact Rounded
357 dqsub503 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456789' Inexact Rounded
358 dqsub504 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456789' Inexact Rounded
359 dqsub505 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456789' Inexact Rounded
360 dqsub506 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456789' Inexact Rounded
361 dqsub507 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456789' Inexact Rounded
362 dqsub508 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456789' Inexact Rounded
363 dqsub509 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded
364 dqsub510 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded
365 dqsub511 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded
366 dqsub512 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded
367 dqsub513 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded
368 dqsub514 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded
369 dqsub515 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded
370 dqsub516 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788'
371 dqsub517 subtract '1231234555555555555555555567456789' 1.000000001 -> '1231234555555555555555555567456788' Inexact Rounded
372 dqsub518 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456788' Inexact Rounded
373 dqsub519 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456788' Inexact Rounded
374
375 rounding: half_even
376 dqsub520 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789'
377 dqsub521 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456789' Inexact Rounded
378 dqsub522 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456789' Inexact Rounded
379 dqsub523 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456789' Inexact Rounded
380 dqsub524 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456789' Inexact Rounded
381 dqsub525 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456789' Inexact Rounded
382 dqsub526 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456789' Inexact Rounded
383 dqsub527 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456789' Inexact Rounded
384 dqsub528 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded
385 dqsub529 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded
386 dqsub530 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded
387 dqsub531 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded
388 dqsub532 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded
389 dqsub533 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded
390 dqsub534 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded
391 dqsub535 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded
392 dqsub536 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788'
393 dqsub537 subtract '1231234555555555555555555567456789' 1.00000001 -> '1231234555555555555555555567456788' Inexact Rounded
394 dqsub538 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456788' Inexact Rounded
395 dqsub539 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456788' Inexact Rounded
396 -- critical few with even bottom digit...
397 dqsub540 subtract '1231234555555555555555555567456788' 0.499999999 -> '1231234555555555555555555567456788' Inexact Rounded
398 dqsub541 subtract '1231234555555555555555555567456788' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded
399 dqsub542 subtract '1231234555555555555555555567456788' 0.500000001 -> '1231234555555555555555555567456787' Inexact Rounded
400
401 rounding: down
402 dqsub550 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789'
403 dqsub551 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456788' Inexact Rounded
404 dqsub552 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456788' Inexact Rounded
405 dqsub553 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456788' Inexact Rounded
406 dqsub554 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456788' Inexact Rounded
407 dqsub555 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456788' Inexact Rounded
408 dqsub556 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456788' Inexact Rounded
409 dqsub557 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456788' Inexact Rounded
410 dqsub558 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded
411 dqsub559 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded
412 dqsub560 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded
413 dqsub561 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded
414 dqsub562 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded
415 dqsub563 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded
416 dqsub564 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded
417 dqsub565 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded
418 dqsub566 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788'
419 dqsub567 subtract '1231234555555555555555555567456789' 1.00000001 -> '1231234555555555555555555567456787' Inexact Rounded
420 dqsub568 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456787' Inexact Rounded
421 dqsub569 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456787' Inexact Rounded
422
423 -- symmetry...
424 rounding: half_up
425 dqsub600 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'
426 dqsub601 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
427 dqsub602 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
428 dqsub603 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
429 dqsub604 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
430 dqsub605 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
431 dqsub606 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
432 dqsub607 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
433 dqsub608 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
434 dqsub609 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
435 dqsub610 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
436 dqsub611 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
437 dqsub612 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
438 dqsub613 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
439 dqsub614 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
440 dqsub615 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
441 dqsub616 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'
442 dqsub617 subtract 1.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
443 dqsub618 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
444 dqsub619 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
445
446 rounding: half_even
447 dqsub620 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'
448 dqsub621 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
449 dqsub622 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
450 dqsub623 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
451 dqsub624 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
452 dqsub625 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
453 dqsub626 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
454 dqsub627 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
455 dqsub628 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
456 dqsub629 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
457 dqsub630 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
458 dqsub631 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
459 dqsub632 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
460 dqsub633 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
461 dqsub634 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
462 dqsub635 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
463 dqsub636 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'
464 dqsub637 subtract 1.00000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
465 dqsub638 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
466 dqsub639 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
467 -- critical few with even bottom digit...
468 dqsub640 subtract 0.499999999 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded
469 dqsub641 subtract 0.5 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded
470 dqsub642 subtract 0.500000001 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456787' Inexact Rounded
471
472 rounding: down
473 dqsub650 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'
474 dqsub651 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
475 dqsub652 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
476 dqsub653 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
477 dqsub654 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
478 dqsub655 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
479 dqsub656 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
480 dqsub657 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
481 dqsub658 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
482 dqsub659 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
483 dqsub660 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
484 dqsub661 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
485 dqsub662 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
486 dqsub663 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
487 dqsub664 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
488 dqsub665 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
489 dqsub666 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'
490 dqsub667 subtract 1.00000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded
491 dqsub668 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded
492 dqsub669 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded
493
494
495 -- lots of leading zeros in intermediate result, and showing effects of
496 -- input rounding would have affected the following
497 rounding: half_up
498 dqsub670 subtract '1234567456789' '1234567456788.1' -> 0.9
499 dqsub671 subtract '1234567456789' '1234567456788.9' -> 0.1
500 dqsub672 subtract '1234567456789' '1234567456789.1' -> -0.1
501 dqsub673 subtract '1234567456789' '1234567456789.5' -> -0.5
502 dqsub674 subtract '1234567456789' '1234567456789.9' -> -0.9
503
504 rounding: half_even
505 dqsub680 subtract '1234567456789' '1234567456788.1' -> 0.9
506 dqsub681 subtract '1234567456789' '1234567456788.9' -> 0.1
507 dqsub682 subtract '1234567456789' '1234567456789.1' -> -0.1
508 dqsub683 subtract '1234567456789' '1234567456789.5' -> -0.5
509 dqsub684 subtract '1234567456789' '1234567456789.9' -> -0.9
510
511 dqsub685 subtract '1234567456788' '1234567456787.1' -> 0.9
512 dqsub686 subtract '1234567456788' '1234567456787.9' -> 0.1
513 dqsub687 subtract '1234567456788' '1234567456788.1' -> -0.1
514 dqsub688 subtract '1234567456788' '1234567456788.5' -> -0.5
515 dqsub689 subtract '1234567456788' '1234567456788.9' -> -0.9
516
517 rounding: down
518 dqsub690 subtract '1234567456789' '1234567456788.1' -> 0.9
519 dqsub691 subtract '1234567456789' '1234567456788.9' -> 0.1
520 dqsub692 subtract '1234567456789' '1234567456789.1' -> -0.1
521 dqsub693 subtract '1234567456789' '1234567456789.5' -> -0.5
522 dqsub694 subtract '1234567456789' '1234567456789.9' -> -0.9
523
524 -- Specials
525 dqsub780 subtract -Inf Inf -> -Infinity
526 dqsub781 subtract -Inf 1000 -> -Infinity
527 dqsub782 subtract -Inf 1 -> -Infinity
528 dqsub783 subtract -Inf -0 -> -Infinity
529 dqsub784 subtract -Inf -1 -> -Infinity
530 dqsub785 subtract -Inf -1000 -> -Infinity
531 dqsub787 subtract -1000 Inf -> -Infinity
532 dqsub788 subtract -Inf Inf -> -Infinity
533 dqsub789 subtract -1 Inf -> -Infinity
534 dqsub790 subtract 0 Inf -> -Infinity
535 dqsub791 subtract 1 Inf -> -Infinity
536 dqsub792 subtract 1000 Inf -> -Infinity
537
538 dqsub800 subtract Inf Inf -> NaN Invalid_operation
539 dqsub801 subtract Inf 1000 -> Infinity
540 dqsub802 subtract Inf 1 -> Infinity
541 dqsub803 subtract Inf 0 -> Infinity
542 dqsub804 subtract Inf -0 -> Infinity
543 dqsub805 subtract Inf -1 -> Infinity
544 dqsub806 subtract Inf -1000 -> Infinity
545 dqsub807 subtract Inf -Inf -> Infinity
546 dqsub808 subtract -1000 -Inf -> Infinity
547 dqsub809 subtract -Inf -Inf -> NaN Invalid_operation
548 dqsub810 subtract -1 -Inf -> Infinity
549 dqsub811 subtract -0 -Inf -> Infinity
550 dqsub812 subtract 0 -Inf -> Infinity
551 dqsub813 subtract 1 -Inf -> Infinity
552 dqsub814 subtract 1000 -Inf -> Infinity
553 dqsub815 subtract Inf -Inf -> Infinity
554
555 dqsub821 subtract NaN Inf -> NaN
556 dqsub822 subtract -NaN 1000 -> -NaN
557 dqsub823 subtract NaN 1 -> NaN
558 dqsub824 subtract NaN 0 -> NaN
559 dqsub825 subtract NaN -0 -> NaN
560 dqsub826 subtract NaN -1 -> NaN
561 dqsub827 subtract NaN -1000 -> NaN
562 dqsub828 subtract NaN -Inf -> NaN
563 dqsub829 subtract -NaN NaN -> -NaN
564 dqsub830 subtract -Inf NaN -> NaN
565 dqsub831 subtract -1000 NaN -> NaN
566 dqsub832 subtract -1 NaN -> NaN
567 dqsub833 subtract -0 NaN -> NaN
568 dqsub834 subtract 0 NaN -> NaN
569 dqsub835 subtract 1 NaN -> NaN
570 dqsub836 subtract 1000 -NaN -> -NaN
571 dqsub837 subtract Inf NaN -> NaN
572
573 dqsub841 subtract sNaN Inf -> NaN Invalid_operation
574 dqsub842 subtract -sNaN 1000 -> -NaN Invalid_operation
575 dqsub843 subtract sNaN 1 -> NaN Invalid_operation
576 dqsub844 subtract sNaN 0 -> NaN Invalid_operation
577 dqsub845 subtract sNaN -0 -> NaN Invalid_operation
578 dqsub846 subtract sNaN -1 -> NaN Invalid_operation
579 dqsub847 subtract sNaN -1000 -> NaN Invalid_operation
580 dqsub848 subtract sNaN NaN -> NaN Invalid_operation
581 dqsub849 subtract sNaN sNaN -> NaN Invalid_operation
582 dqsub850 subtract NaN sNaN -> NaN Invalid_operation
583 dqsub851 subtract -Inf -sNaN -> -NaN Invalid_operation
584 dqsub852 subtract -1000 sNaN -> NaN Invalid_operation
585 dqsub853 subtract -1 sNaN -> NaN Invalid_operation
586 dqsub854 subtract -0 sNaN -> NaN Invalid_operation
587 dqsub855 subtract 0 sNaN -> NaN Invalid_operation
588 dqsub856 subtract 1 sNaN -> NaN Invalid_operation
589 dqsub857 subtract 1000 sNaN -> NaN Invalid_operation
590 dqsub858 subtract Inf sNaN -> NaN Invalid_operation
591 dqsub859 subtract NaN sNaN -> NaN Invalid_operation
592
593 -- propagating NaNs
594 dqsub861 subtract NaN01 -Inf -> NaN1
595 dqsub862 subtract -NaN02 -1000 -> -NaN2
596 dqsub863 subtract NaN03 1000 -> NaN3
597 dqsub864 subtract NaN04 Inf -> NaN4
598 dqsub865 subtract NaN05 NaN61 -> NaN5
599 dqsub866 subtract -Inf -NaN71 -> -NaN71
600 dqsub867 subtract -1000 NaN81 -> NaN81
601 dqsub868 subtract 1000 NaN91 -> NaN91
602 dqsub869 subtract Inf NaN101 -> NaN101
603 dqsub871 subtract sNaN011 -Inf -> NaN11 Invalid_operation
604 dqsub872 subtract sNaN012 -1000 -> NaN12 Invalid_operation
605 dqsub873 subtract -sNaN013 1000 -> -NaN13 Invalid_operation
606 dqsub874 subtract sNaN014 NaN171 -> NaN14 Invalid_operation
607 dqsub875 subtract sNaN015 sNaN181 -> NaN15 Invalid_operation
608 dqsub876 subtract NaN016 sNaN191 -> NaN191 Invalid_operation
609 dqsub877 subtract -Inf sNaN201 -> NaN201 Invalid_operation
610 dqsub878 subtract -1000 sNaN211 -> NaN211 Invalid_operation
611 dqsub879 subtract 1000 -sNaN221 -> -NaN221 Invalid_operation
612 dqsub880 subtract Inf sNaN231 -> NaN231 Invalid_operation
613 dqsub881 subtract NaN025 sNaN241 -> NaN241 Invalid_operation
614
615 -- edge case spills
616 dqsub901 subtract 2.E-3 1.002 -> -1.000
617 dqsub902 subtract 2.0E-3 1.002 -> -1.0000
618 dqsub903 subtract 2.00E-3 1.0020 -> -1.00000
619 dqsub904 subtract 2.000E-3 1.00200 -> -1.000000
620 dqsub905 subtract 2.0000E-3 1.002000 -> -1.0000000
621 dqsub906 subtract 2.00000E-3 1.0020000 -> -1.00000000
622 dqsub907 subtract 2.000000E-3 1.00200000 -> -1.000000000
623 dqsub908 subtract 2.0000000E-3 1.002000000 -> -1.0000000000
624
625 -- subnormals and overflows covered under Add
626
627 -- Examples from SQL proposal (Krishna Kulkarni)
628 dqsub1125 subtract 130E-2 120E-2 -> 0.10
629 dqsub1126 subtract 130E-2 12E-1 -> 0.10
630 dqsub1127 subtract 130E-2 1E0 -> 0.30
631 dqsub1128 subtract 1E2 1E4 -> -9.9E+3
632
633 -- Null tests
634 dqsub9990 subtract 10 # -> NaN Invalid_operation
635 dqsub9991 subtract # 10 -> NaN Invalid_operation