1------------------------------------------------------------------------
2-- ddSubtract.decTest -- decDouble 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------------------------------------------------------------------------
20version: 2.59
21
22-- This set of tests are for decDoubles only; all arguments are
23-- representable in a decDouble
24precision:   16
25maxExponent: 384
26minExponent: -383
27extended:    1
28clamp:       1
29rounding:    half_even
30
31-- [first group are 'quick confidence check']
32ddsub001 subtract  0   0  -> '0'
33ddsub002 subtract  1   1  -> '0'
34ddsub003 subtract  1   2  -> '-1'
35ddsub004 subtract  2   1  -> '1'
36ddsub005 subtract  2   2  -> '0'
37ddsub006 subtract  3   2  -> '1'
38ddsub007 subtract  2   3  -> '-1'
39
40ddsub011 subtract -0   0  -> '-0'
41ddsub012 subtract -1   1  -> '-2'
42ddsub013 subtract -1   2  -> '-3'
43ddsub014 subtract -2   1  -> '-3'
44ddsub015 subtract -2   2  -> '-4'
45ddsub016 subtract -3   2  -> '-5'
46ddsub017 subtract -2   3  -> '-5'
47
48ddsub021 subtract  0  -0  -> '0'
49ddsub022 subtract  1  -1  -> '2'
50ddsub023 subtract  1  -2  -> '3'
51ddsub024 subtract  2  -1  -> '3'
52ddsub025 subtract  2  -2  -> '4'
53ddsub026 subtract  3  -2  -> '5'
54ddsub027 subtract  2  -3  -> '5'
55
56ddsub030 subtract  11  1  -> 10
57ddsub031 subtract  10  1  ->  9
58ddsub032 subtract  9   1  ->  8
59ddsub033 subtract  1   1  ->  0
60ddsub034 subtract  0   1  -> -1
61ddsub035 subtract -1   1  -> -2
62ddsub036 subtract -9   1  -> -10
63ddsub037 subtract -10  1  -> -11
64ddsub038 subtract -11  1  -> -12
65
66ddsub040 subtract '5.75' '3.3'  -> '2.45'
67ddsub041 subtract '5'    '-3'   -> '8'
68ddsub042 subtract '-5'   '-3'   -> '-2'
69ddsub043 subtract '-7'   '2.5'  -> '-9.5'
70ddsub044 subtract '0.7'  '0.3'  -> '0.4'
71ddsub045 subtract '1.3'  '0.3'  -> '1.0'
72ddsub046 subtract '1.25' '1.25' -> '0.00'
73
74ddsub050 subtract '1.23456789'    '1.00000000' -> '0.23456789'
75ddsub051 subtract '1.23456789'    '1.00000089' -> '0.23456700'
76
77ddsub060 subtract '70'    '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
78ddsub061 subtract '700'    '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
79ddsub062 subtract '7000'    '10000e+16' -> '-9.999999999999999E+19' Inexact Rounded
80ddsub063 subtract '70000'    '10000e+16' -> '-9.999999999999993E+19' Rounded
81ddsub064 subtract '700000'    '10000e+16' -> '-9.999999999999930E+19' Rounded
82  -- symmetry:
83ddsub065 subtract '10000e+16'    '70' -> '1.000000000000000E+20' Inexact Rounded
84ddsub066 subtract '10000e+16'    '700' -> '1.000000000000000E+20' Inexact Rounded
85ddsub067 subtract '10000e+16'    '7000' -> '9.999999999999999E+19' Inexact Rounded
86ddsub068 subtract '10000e+16'    '70000' -> '9.999999999999993E+19' Rounded
87ddsub069 subtract '10000e+16'    '700000' -> '9.999999999999930E+19' Rounded
88
89  -- some of the next group are really constructor tests
90ddsub090 subtract '00.0'    '0.0'  -> '0.0'
91ddsub091 subtract '00.0'    '0.00' -> '0.00'
92ddsub092 subtract '0.00'    '00.0' -> '0.00'
93ddsub093 subtract '00.0'    '0.00' -> '0.00'
94ddsub094 subtract '0.00'    '00.0' -> '0.00'
95ddsub095 subtract '3'    '.3'   -> '2.7'
96ddsub096 subtract '3.'   '.3'   -> '2.7'
97ddsub097 subtract '3.0'  '.3'   -> '2.7'
98ddsub098 subtract '3.00' '.3'   -> '2.70'
99ddsub099 subtract '3'    '3'    -> '0'
100ddsub100 subtract '3'    '+3'   -> '0'
101ddsub101 subtract '3'    '-3'   -> '6'
102ddsub102 subtract '3'    '0.3'  -> '2.7'
103ddsub103 subtract '3.'   '0.3'  -> '2.7'
104ddsub104 subtract '3.0'  '0.3'  -> '2.7'
105ddsub105 subtract '3.00' '0.3'  -> '2.70'
106ddsub106 subtract '3'    '3.0'  -> '0.0'
107ddsub107 subtract '3'    '+3.0' -> '0.0'
108ddsub108 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.
114ddsub120 subtract  '10.23456784'    '10.23456789'  -> '-5E-8'
115ddsub121 subtract  '10.23456785'    '10.23456789'  -> '-4E-8'
116ddsub122 subtract  '10.23456786'    '10.23456789'  -> '-3E-8'
117ddsub123 subtract  '10.23456787'    '10.23456789'  -> '-2E-8'
118ddsub124 subtract  '10.23456788'    '10.23456789'  -> '-1E-8'
119ddsub125 subtract  '10.23456789'    '10.23456789'  -> '0E-8'
120ddsub126 subtract  '10.23456790'    '10.23456789'  -> '1E-8'
121ddsub127 subtract  '10.23456791'    '10.23456789'  -> '2E-8'
122ddsub128 subtract  '10.23456792'    '10.23456789'  -> '3E-8'
123ddsub129 subtract  '10.23456793'    '10.23456789'  -> '4E-8'
124ddsub130 subtract  '10.23456794'    '10.23456789'  -> '5E-8'
125ddsub131 subtract  '10.23456781'    '10.23456786'  -> '-5E-8'
126ddsub132 subtract  '10.23456782'    '10.23456786'  -> '-4E-8'
127ddsub133 subtract  '10.23456783'    '10.23456786'  -> '-3E-8'
128ddsub134 subtract  '10.23456784'    '10.23456786'  -> '-2E-8'
129ddsub135 subtract  '10.23456785'    '10.23456786'  -> '-1E-8'
130ddsub136 subtract  '10.23456786'    '10.23456786'  -> '0E-8'
131ddsub137 subtract  '10.23456787'    '10.23456786'  -> '1E-8'
132ddsub138 subtract  '10.23456788'    '10.23456786'  -> '2E-8'
133ddsub139 subtract  '10.23456789'    '10.23456786'  -> '3E-8'
134ddsub140 subtract  '10.23456790'    '10.23456786'  -> '4E-8'
135ddsub141 subtract  '10.23456791'    '10.23456786'  -> '5E-8'
136ddsub142 subtract  '1'              '0.999999999'  -> '1E-9'
137ddsub143 subtract  '0.999999999'    '1'            -> '-1E-9'
138ddsub144 subtract  '-10.23456780'   '-10.23456786' -> '6E-8'
139ddsub145 subtract  '-10.23456790'   '-10.23456786' -> '-4E-8'
140ddsub146 subtract  '-10.23456791'   '-10.23456786' -> '-5E-8'
141
142-- additional scaled arithmetic tests [0.97 problem]
143ddsub160 subtract '0'     '.1'      -> '-0.1'
144ddsub161 subtract '00'    '.97983'  -> '-0.97983'
145ddsub162 subtract '0'     '.9'      -> '-0.9'
146ddsub163 subtract '0'     '0.102'   -> '-0.102'
147ddsub164 subtract '0'     '.4'      -> '-0.4'
148ddsub165 subtract '0'     '.307'    -> '-0.307'
149ddsub166 subtract '0'     '.43822'  -> '-0.43822'
150ddsub167 subtract '0'     '.911'    -> '-0.911'
151ddsub168 subtract '.0'    '.02'     -> '-0.02'
152ddsub169 subtract '00'    '.392'    -> '-0.392'
153ddsub170 subtract '0'     '.26'     -> '-0.26'
154ddsub171 subtract '0'     '0.51'    -> '-0.51'
155ddsub172 subtract '0'     '.2234'   -> '-0.2234'
156ddsub173 subtract '0'     '.2'      -> '-0.2'
157ddsub174 subtract '.0'    '.0008'   -> '-0.0008'
158-- 0. on left
159ddsub180 subtract '0.0'     '-.1'      -> '0.1'
160ddsub181 subtract '0.00'    '-.97983'  -> '0.97983'
161ddsub182 subtract '0.0'     '-.9'      -> '0.9'
162ddsub183 subtract '0.0'     '-0.102'   -> '0.102'
163ddsub184 subtract '0.0'     '-.4'      -> '0.4'
164ddsub185 subtract '0.0'     '-.307'    -> '0.307'
165ddsub186 subtract '0.0'     '-.43822'  -> '0.43822'
166ddsub187 subtract '0.0'     '-.911'    -> '0.911'
167ddsub188 subtract '0.0'     '-.02'     -> '0.02'
168ddsub189 subtract '0.00'    '-.392'    -> '0.392'
169ddsub190 subtract '0.0'     '-.26'     -> '0.26'
170ddsub191 subtract '0.0'     '-0.51'    -> '0.51'
171ddsub192 subtract '0.0'     '-.2234'   -> '0.2234'
172ddsub193 subtract '0.0'     '-.2'      -> '0.2'
173ddsub194 subtract '0.0'     '-.0008'   -> '0.0008'
174-- negatives of same
175ddsub200 subtract '0'     '-.1'      -> '0.1'
176ddsub201 subtract '00'    '-.97983'  -> '0.97983'
177ddsub202 subtract '0'     '-.9'      -> '0.9'
178ddsub203 subtract '0'     '-0.102'   -> '0.102'
179ddsub204 subtract '0'     '-.4'      -> '0.4'
180ddsub205 subtract '0'     '-.307'    -> '0.307'
181ddsub206 subtract '0'     '-.43822'  -> '0.43822'
182ddsub207 subtract '0'     '-.911'    -> '0.911'
183ddsub208 subtract '.0'    '-.02'     -> '0.02'
184ddsub209 subtract '00'    '-.392'    -> '0.392'
185ddsub210 subtract '0'     '-.26'     -> '0.26'
186ddsub211 subtract '0'     '-0.51'    -> '0.51'
187ddsub212 subtract '0'     '-.2234'   -> '0.2234'
188ddsub213 subtract '0'     '-.2'      -> '0.2'
189ddsub214 subtract '.0'    '-.0008'   -> '0.0008'
190
191-- more fixed, LHS swaps [really the same as testcases under add]
192ddsub220 subtract '-56267E-12' 0  -> '-5.6267E-8'
193ddsub221 subtract '-56267E-11' 0  -> '-5.6267E-7'
194ddsub222 subtract '-56267E-10' 0  -> '-0.0000056267'
195ddsub223 subtract '-56267E-9'  0  -> '-0.000056267'
196ddsub224 subtract '-56267E-8'  0  -> '-0.00056267'
197ddsub225 subtract '-56267E-7'  0  -> '-0.0056267'
198ddsub226 subtract '-56267E-6'  0  -> '-0.056267'
199ddsub227 subtract '-56267E-5'  0  -> '-0.56267'
200ddsub228 subtract '-56267E-2'  0  -> '-562.67'
201ddsub229 subtract '-56267E-1'  0  -> '-5626.7'
202ddsub230 subtract '-56267E-0'  0  -> '-56267'
203-- symmetry ...
204ddsub240 subtract 0 '-56267E-12'  -> '5.6267E-8'
205ddsub241 subtract 0 '-56267E-11'  -> '5.6267E-7'
206ddsub242 subtract 0 '-56267E-10'  -> '0.0000056267'
207ddsub243 subtract 0 '-56267E-9'   -> '0.000056267'
208ddsub244 subtract 0 '-56267E-8'   -> '0.00056267'
209ddsub245 subtract 0 '-56267E-7'   -> '0.0056267'
210ddsub246 subtract 0 '-56267E-6'   -> '0.056267'
211ddsub247 subtract 0 '-56267E-5'   -> '0.56267'
212ddsub248 subtract 0 '-56267E-2'   -> '562.67'
213ddsub249 subtract 0 '-56267E-1'   -> '5626.7'
214ddsub250 subtract 0 '-56267E-0'   -> '56267'
215
216-- now some more from the 'new' add
217ddsub301 subtract '1.23456789'  '1.00000000' -> '0.23456789'
218ddsub302 subtract '1.23456789'  '1.00000011' -> '0.23456778'
219
220-- some carrying effects
221ddsub321 subtract '0.9998'  '0.0000' -> '0.9998'
222ddsub322 subtract '0.9998'  '0.0001' -> '0.9997'
223ddsub323 subtract '0.9998'  '0.0002' -> '0.9996'
224ddsub324 subtract '0.9998'  '0.0003' -> '0.9995'
225ddsub325 subtract '0.9998'  '-0.0000' -> '0.9998'
226ddsub326 subtract '0.9998'  '-0.0001' -> '0.9999'
227ddsub327 subtract '0.9998'  '-0.0002' -> '1.0000'
228ddsub328 subtract '0.9998'  '-0.0003' -> '1.0001'
229
230-- internal boundaries
231ddsub346 subtract '10000e+9'  '7'   -> '9999999999993'
232ddsub347 subtract '10000e+9'  '70'   -> '9999999999930'
233ddsub348 subtract '10000e+9'  '700'   -> '9999999999300'
234ddsub349 subtract '10000e+9'  '7000'   -> '9999999993000'
235ddsub350 subtract '10000e+9'  '70000'   -> '9999999930000'
236ddsub351 subtract '10000e+9'  '700000'   -> '9999999300000'
237ddsub352 subtract '7' '10000e+9'   -> '-9999999999993'
238ddsub353 subtract '70' '10000e+9'   -> '-9999999999930'
239ddsub354 subtract '700' '10000e+9'   -> '-9999999999300'
240ddsub355 subtract '7000' '10000e+9'   -> '-9999999993000'
241ddsub356 subtract '70000' '10000e+9'   -> '-9999999930000'
242ddsub357 subtract '700000' '10000e+9'   -> '-9999999300000'
243
244-- zero preservation
245ddsub361 subtract 1 '0.0001' -> '0.9999'
246ddsub362 subtract 1 '0.00001' -> '0.99999'
247ddsub363 subtract 1 '0.000001' -> '0.999999'
248ddsub364 subtract 1 '0.0000000000000001' -> '0.9999999999999999'
249ddsub365 subtract 1 '0.00000000000000001' -> '1.000000000000000' Inexact Rounded
250ddsub366 subtract 1 '0.000000000000000001' -> '1.000000000000000' Inexact Rounded
251
252-- some funny zeros [in case of bad signum]
253ddsub370 subtract 1  0  -> 1
254ddsub371 subtract 1 0.  -> 1
255ddsub372 subtract 1  .0 -> 1.0
256ddsub373 subtract 1 0.0 -> 1.0
257ddsub374 subtract  0  1 -> -1
258ddsub375 subtract 0.  1 -> -1
259ddsub376 subtract  .0 1 -> -1.0
260ddsub377 subtract 0.0 1 -> -1.0
261
262-- leading 0 digit before round
263ddsub910 subtract -103519362 -51897955.3 -> -51621406.7
264ddsub911 subtract 159579.444 89827.5229 -> 69751.9211
265
266ddsub920 subtract 333.0000000123456 33.00000001234566 -> 299.9999999999999 Inexact Rounded
267ddsub921 subtract 333.0000000123456 33.00000001234565 -> 300.0000000000000 Inexact Rounded
268ddsub922 subtract 133.0000000123456 33.00000001234565 ->  99.99999999999995
269ddsub923 subtract 133.0000000123456 33.00000001234564 ->  99.99999999999996
270ddsub924 subtract 133.0000000123456 33.00000001234540 -> 100.0000000000002 Rounded
271ddsub925 subtract 133.0000000123456 43.00000001234560 ->  90.00000000000000
272ddsub926 subtract 133.0000000123456 43.00000001234561 ->  89.99999999999999
273ddsub927 subtract 133.0000000123456 43.00000001234566 ->  89.99999999999994
274ddsub928 subtract 101.0000000123456 91.00000001234566 ->   9.99999999999994
275ddsub929 subtract 101.0000000123456 99.00000001234566 ->   1.99999999999994
276
277-- more LHS swaps [were fixed]
278ddsub390 subtract '-56267E-10'   0 ->  '-0.0000056267'
279ddsub391 subtract '-56267E-6'    0 ->  '-0.056267'
280ddsub392 subtract '-56267E-5'    0 ->  '-0.56267'
281ddsub393 subtract '-56267E-4'    0 ->  '-5.6267'
282ddsub394 subtract '-56267E-3'    0 ->  '-56.267'
283ddsub395 subtract '-56267E-2'    0 ->  '-562.67'
284ddsub396 subtract '-56267E-1'    0 ->  '-5626.7'
285ddsub397 subtract '-56267E-0'    0 ->  '-56267'
286ddsub398 subtract '-5E-10'       0 ->  '-5E-10'
287ddsub399 subtract '-5E-7'        0 ->  '-5E-7'
288ddsub400 subtract '-5E-6'        0 ->  '-0.000005'
289ddsub401 subtract '-5E-5'        0 ->  '-0.00005'
290ddsub402 subtract '-5E-4'        0 ->  '-0.0005'
291ddsub403 subtract '-5E-1'        0 ->  '-0.5'
292ddsub404 subtract '-5E0'         0 ->  '-5'
293ddsub405 subtract '-5E1'         0 ->  '-50'
294ddsub406 subtract '-5E5'         0 ->  '-500000'
295ddsub407 subtract '-5E15'        0 ->  '-5000000000000000'
296ddsub408 subtract '-5E16'        0 ->  '-5.000000000000000E+16'  Rounded
297ddsub409 subtract '-5E17'        0 ->  '-5.000000000000000E+17'  Rounded
298ddsub410 subtract '-5E18'        0 ->  '-5.000000000000000E+18'  Rounded
299ddsub411 subtract '-5E100'       0 ->  '-5.000000000000000E+100' Rounded
300
301-- more RHS swaps [were fixed]
302ddsub420 subtract 0  '-56267E-10' ->  '0.0000056267'
303ddsub421 subtract 0  '-56267E-6'  ->  '0.056267'
304ddsub422 subtract 0  '-56267E-5'  ->  '0.56267'
305ddsub423 subtract 0  '-56267E-4'  ->  '5.6267'
306ddsub424 subtract 0  '-56267E-3'  ->  '56.267'
307ddsub425 subtract 0  '-56267E-2'  ->  '562.67'
308ddsub426 subtract 0  '-56267E-1'  ->  '5626.7'
309ddsub427 subtract 0  '-56267E-0'  ->  '56267'
310ddsub428 subtract 0  '-5E-10'     ->  '5E-10'
311ddsub429 subtract 0  '-5E-7'      ->  '5E-7'
312ddsub430 subtract 0  '-5E-6'      ->  '0.000005'
313ddsub431 subtract 0  '-5E-5'      ->  '0.00005'
314ddsub432 subtract 0  '-5E-4'      ->  '0.0005'
315ddsub433 subtract 0  '-5E-1'      ->  '0.5'
316ddsub434 subtract 0  '-5E0'       ->  '5'
317ddsub435 subtract 0  '-5E1'       ->  '50'
318ddsub436 subtract 0  '-5E5'       ->  '500000'
319ddsub437 subtract 0  '-5E15'      ->  '5000000000000000'
320ddsub438 subtract 0  '-5E16'      ->  '5.000000000000000E+16'   Rounded
321ddsub439 subtract 0  '-5E17'      ->  '5.000000000000000E+17'   Rounded
322ddsub440 subtract 0  '-5E18'      ->  '5.000000000000000E+18'   Rounded
323ddsub441 subtract 0  '-5E100'     ->  '5.000000000000000E+100'  Rounded
324
325
326-- try borderline precision, with carries, etc.
327ddsub461 subtract '1E+16' '1'        -> '9999999999999999'
328ddsub462 subtract '1E+12' '-1.111'   -> '1000000000001.111'
329ddsub463 subtract '1.111'  '-1E+12'  -> '1000000000001.111'
330ddsub464 subtract '-1'    '-1E+16'   -> '9999999999999999'
331ddsub465 subtract '7E+15' '1'        -> '6999999999999999'
332ddsub466 subtract '7E+12' '-1.111'   -> '7000000000001.111'
333ddsub467 subtract '1.111'  '-7E+12'  -> '7000000000001.111'
334ddsub468 subtract '-1'    '-7E+15'   -> '6999999999999999'
335
336--                  1234567890123456       1234567890123456      1 23456789012345
337ddsub470 subtract '0.4444444444444444'  '-0.5555555555555563' -> '1.000000000000001' Inexact Rounded
338ddsub471 subtract '0.4444444444444444'  '-0.5555555555555562' -> '1.000000000000001' Inexact Rounded
339ddsub472 subtract '0.4444444444444444'  '-0.5555555555555561' -> '1.000000000000000' Inexact Rounded
340ddsub473 subtract '0.4444444444444444'  '-0.5555555555555560' -> '1.000000000000000' Inexact Rounded
341ddsub474 subtract '0.4444444444444444'  '-0.5555555555555559' -> '1.000000000000000' Inexact Rounded
342ddsub475 subtract '0.4444444444444444'  '-0.5555555555555558' -> '1.000000000000000' Inexact Rounded
343ddsub476 subtract '0.4444444444444444'  '-0.5555555555555557' -> '1.000000000000000' Inexact Rounded
344ddsub477 subtract '0.4444444444444444'  '-0.5555555555555556' -> '1.000000000000000' Rounded
345ddsub478 subtract '0.4444444444444444'  '-0.5555555555555555' -> '0.9999999999999999'
346ddsub479 subtract '0.4444444444444444'  '-0.5555555555555554' -> '0.9999999999999998'
347ddsub480 subtract '0.4444444444444444'  '-0.5555555555555553' -> '0.9999999999999997'
348ddsub481 subtract '0.4444444444444444'  '-0.5555555555555552' -> '0.9999999999999996'
349ddsub482 subtract '0.4444444444444444'  '-0.5555555555555551' -> '0.9999999999999995'
350ddsub483 subtract '0.4444444444444444'  '-0.5555555555555550' -> '0.9999999999999994'
351
352-- and some more, including residue effects and different roundings
353rounding: half_up
354ddsub500 subtract '1231234567456789' 0             -> '1231234567456789'
355ddsub501 subtract '1231234567456789' 0.000000001   -> '1231234567456789' Inexact Rounded
356ddsub502 subtract '1231234567456789' 0.000001      -> '1231234567456789' Inexact Rounded
357ddsub503 subtract '1231234567456789' 0.1           -> '1231234567456789' Inexact Rounded
358ddsub504 subtract '1231234567456789' 0.4           -> '1231234567456789' Inexact Rounded
359ddsub505 subtract '1231234567456789' 0.49          -> '1231234567456789' Inexact Rounded
360ddsub506 subtract '1231234567456789' 0.499999      -> '1231234567456789' Inexact Rounded
361ddsub507 subtract '1231234567456789' 0.499999999   -> '1231234567456789' Inexact Rounded
362ddsub508 subtract '1231234567456789' 0.5           -> '1231234567456789' Inexact Rounded
363ddsub509 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
364ddsub510 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
365ddsub511 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
366ddsub512 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
367ddsub513 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
368ddsub514 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
369ddsub515 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
370ddsub516 subtract '1231234567456789' 1             -> '1231234567456788'
371ddsub517 subtract '1231234567456789' 1.000000001   -> '1231234567456788' Inexact Rounded
372ddsub518 subtract '1231234567456789' 1.00001       -> '1231234567456788' Inexact Rounded
373ddsub519 subtract '1231234567456789' 1.1           -> '1231234567456788' Inexact Rounded
374
375rounding: half_even
376ddsub520 subtract '1231234567456789' 0             -> '1231234567456789'
377ddsub521 subtract '1231234567456789' 0.000000001   -> '1231234567456789' Inexact Rounded
378ddsub522 subtract '1231234567456789' 0.000001      -> '1231234567456789' Inexact Rounded
379ddsub523 subtract '1231234567456789' 0.1           -> '1231234567456789' Inexact Rounded
380ddsub524 subtract '1231234567456789' 0.4           -> '1231234567456789' Inexact Rounded
381ddsub525 subtract '1231234567456789' 0.49          -> '1231234567456789' Inexact Rounded
382ddsub526 subtract '1231234567456789' 0.499999      -> '1231234567456789' Inexact Rounded
383ddsub527 subtract '1231234567456789' 0.499999999   -> '1231234567456789' Inexact Rounded
384ddsub528 subtract '1231234567456789' 0.5           -> '1231234567456788' Inexact Rounded
385ddsub529 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
386ddsub530 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
387ddsub531 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
388ddsub532 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
389ddsub533 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
390ddsub534 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
391ddsub535 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
392ddsub536 subtract '1231234567456789' 1             -> '1231234567456788'
393ddsub537 subtract '1231234567456789' 1.00000001    -> '1231234567456788' Inexact Rounded
394ddsub538 subtract '1231234567456789' 1.00001       -> '1231234567456788' Inexact Rounded
395ddsub539 subtract '1231234567456789' 1.1           -> '1231234567456788' Inexact Rounded
396-- critical few with even bottom digit...
397ddsub540 subtract '1231234567456788' 0.499999999   -> '1231234567456788' Inexact Rounded
398ddsub541 subtract '1231234567456788' 0.5           -> '1231234567456788' Inexact Rounded
399ddsub542 subtract '1231234567456788' 0.500000001   -> '1231234567456787' Inexact Rounded
400
401rounding: down
402ddsub550 subtract '1231234567456789' 0             -> '1231234567456789'
403ddsub551 subtract '1231234567456789' 0.000000001   -> '1231234567456788' Inexact Rounded
404ddsub552 subtract '1231234567456789' 0.000001      -> '1231234567456788' Inexact Rounded
405ddsub553 subtract '1231234567456789' 0.1           -> '1231234567456788' Inexact Rounded
406ddsub554 subtract '1231234567456789' 0.4           -> '1231234567456788' Inexact Rounded
407ddsub555 subtract '1231234567456789' 0.49          -> '1231234567456788' Inexact Rounded
408ddsub556 subtract '1231234567456789' 0.499999      -> '1231234567456788' Inexact Rounded
409ddsub557 subtract '1231234567456789' 0.499999999   -> '1231234567456788' Inexact Rounded
410ddsub558 subtract '1231234567456789' 0.5           -> '1231234567456788' Inexact Rounded
411ddsub559 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
412ddsub560 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
413ddsub561 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
414ddsub562 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
415ddsub563 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
416ddsub564 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
417ddsub565 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
418ddsub566 subtract '1231234567456789' 1             -> '1231234567456788'
419ddsub567 subtract '1231234567456789' 1.00000001    -> '1231234567456787' Inexact Rounded
420ddsub568 subtract '1231234567456789' 1.00001       -> '1231234567456787' Inexact Rounded
421ddsub569 subtract '1231234567456789' 1.1           -> '1231234567456787' Inexact Rounded
422
423-- symmetry...
424rounding: half_up
425ddsub600 subtract 0             '1231234567456789' -> '-1231234567456789'
426ddsub601 subtract 0.000000001   '1231234567456789' -> '-1231234567456789' Inexact Rounded
427ddsub602 subtract 0.000001      '1231234567456789' -> '-1231234567456789' Inexact Rounded
428ddsub603 subtract 0.1           '1231234567456789' -> '-1231234567456789' Inexact Rounded
429ddsub604 subtract 0.4           '1231234567456789' -> '-1231234567456789' Inexact Rounded
430ddsub605 subtract 0.49          '1231234567456789' -> '-1231234567456789' Inexact Rounded
431ddsub606 subtract 0.499999      '1231234567456789' -> '-1231234567456789' Inexact Rounded
432ddsub607 subtract 0.499999999   '1231234567456789' -> '-1231234567456789' Inexact Rounded
433ddsub608 subtract 0.5           '1231234567456789' -> '-1231234567456789' Inexact Rounded
434ddsub609 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
435ddsub610 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
436ddsub611 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
437ddsub612 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
438ddsub613 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
439ddsub614 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
440ddsub615 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
441ddsub616 subtract 1             '1231234567456789' -> '-1231234567456788'
442ddsub617 subtract 1.000000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
443ddsub618 subtract 1.00001       '1231234567456789' -> '-1231234567456788' Inexact Rounded
444ddsub619 subtract 1.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
445
446rounding: half_even
447ddsub620 subtract 0             '1231234567456789' -> '-1231234567456789'
448ddsub621 subtract 0.000000001   '1231234567456789' -> '-1231234567456789' Inexact Rounded
449ddsub622 subtract 0.000001      '1231234567456789' -> '-1231234567456789' Inexact Rounded
450ddsub623 subtract 0.1           '1231234567456789' -> '-1231234567456789' Inexact Rounded
451ddsub624 subtract 0.4           '1231234567456789' -> '-1231234567456789' Inexact Rounded
452ddsub625 subtract 0.49          '1231234567456789' -> '-1231234567456789' Inexact Rounded
453ddsub626 subtract 0.499999      '1231234567456789' -> '-1231234567456789' Inexact Rounded
454ddsub627 subtract 0.499999999   '1231234567456789' -> '-1231234567456789' Inexact Rounded
455ddsub628 subtract 0.5           '1231234567456789' -> '-1231234567456788' Inexact Rounded
456ddsub629 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
457ddsub630 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
458ddsub631 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
459ddsub632 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
460ddsub633 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
461ddsub634 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
462ddsub635 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
463ddsub636 subtract 1             '1231234567456789' -> '-1231234567456788'
464ddsub637 subtract 1.00000001    '1231234567456789' -> '-1231234567456788' Inexact Rounded
465ddsub638 subtract 1.00001       '1231234567456789' -> '-1231234567456788' Inexact Rounded
466ddsub639 subtract 1.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
467-- critical few with even bottom digit...
468ddsub640 subtract 0.499999999   '1231234567456788' -> '-1231234567456788' Inexact Rounded
469ddsub641 subtract 0.5           '1231234567456788' -> '-1231234567456788' Inexact Rounded
470ddsub642 subtract 0.500000001   '1231234567456788' -> '-1231234567456787' Inexact Rounded
471
472rounding: down
473ddsub650 subtract 0             '1231234567456789' -> '-1231234567456789'
474ddsub651 subtract 0.000000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
475ddsub652 subtract 0.000001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
476ddsub653 subtract 0.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
477ddsub654 subtract 0.4           '1231234567456789' -> '-1231234567456788' Inexact Rounded
478ddsub655 subtract 0.49          '1231234567456789' -> '-1231234567456788' Inexact Rounded
479ddsub656 subtract 0.499999      '1231234567456789' -> '-1231234567456788' Inexact Rounded
480ddsub657 subtract 0.499999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
481ddsub658 subtract 0.5           '1231234567456789' -> '-1231234567456788' Inexact Rounded
482ddsub659 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
483ddsub660 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
484ddsub661 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
485ddsub662 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
486ddsub663 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
487ddsub664 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
488ddsub665 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
489ddsub666 subtract 1             '1231234567456789' -> '-1231234567456788'
490ddsub667 subtract 1.00000001    '1231234567456789' -> '-1231234567456787' Inexact Rounded
491ddsub668 subtract 1.00001       '1231234567456789' -> '-1231234567456787' Inexact Rounded
492ddsub669 subtract 1.1           '1231234567456789' -> '-1231234567456787' Inexact Rounded
493
494
495-- lots of leading zeros in intermediate result, and showing effects of
496-- input rounding would have affected the following
497rounding: half_up
498ddsub670 subtract '1234567456789' '1234567456788.1' -> 0.9
499ddsub671 subtract '1234567456789' '1234567456788.9' -> 0.1
500ddsub672 subtract '1234567456789' '1234567456789.1' -> -0.1
501ddsub673 subtract '1234567456789' '1234567456789.5' -> -0.5
502ddsub674 subtract '1234567456789' '1234567456789.9' -> -0.9
503
504rounding: half_even
505ddsub680 subtract '1234567456789' '1234567456788.1' -> 0.9
506ddsub681 subtract '1234567456789' '1234567456788.9' -> 0.1
507ddsub682 subtract '1234567456789' '1234567456789.1' -> -0.1
508ddsub683 subtract '1234567456789' '1234567456789.5' -> -0.5
509ddsub684 subtract '1234567456789' '1234567456789.9' -> -0.9
510
511ddsub685 subtract '1234567456788' '1234567456787.1' -> 0.9
512ddsub686 subtract '1234567456788' '1234567456787.9' -> 0.1
513ddsub687 subtract '1234567456788' '1234567456788.1' -> -0.1
514ddsub688 subtract '1234567456788' '1234567456788.5' -> -0.5
515ddsub689 subtract '1234567456788' '1234567456788.9' -> -0.9
516
517rounding: down
518ddsub690 subtract '1234567456789' '1234567456788.1' -> 0.9
519ddsub691 subtract '1234567456789' '1234567456788.9' -> 0.1
520ddsub692 subtract '1234567456789' '1234567456789.1' -> -0.1
521ddsub693 subtract '1234567456789' '1234567456789.5' -> -0.5
522ddsub694 subtract '1234567456789' '1234567456789.9' -> -0.9
523
524-- Specials
525ddsub780 subtract -Inf   Inf   -> -Infinity
526ddsub781 subtract -Inf   1000  -> -Infinity
527ddsub782 subtract -Inf   1     -> -Infinity
528ddsub783 subtract -Inf  -0     -> -Infinity
529ddsub784 subtract -Inf  -1     -> -Infinity
530ddsub785 subtract -Inf  -1000  -> -Infinity
531ddsub787 subtract -1000  Inf   -> -Infinity
532ddsub788 subtract -Inf   Inf   -> -Infinity
533ddsub789 subtract -1     Inf   -> -Infinity
534ddsub790 subtract  0     Inf   -> -Infinity
535ddsub791 subtract  1     Inf   -> -Infinity
536ddsub792 subtract  1000  Inf   -> -Infinity
537
538ddsub800 subtract  Inf   Inf   ->  NaN  Invalid_operation
539ddsub801 subtract  Inf   1000  ->  Infinity
540ddsub802 subtract  Inf   1     ->  Infinity
541ddsub803 subtract  Inf   0     ->  Infinity
542ddsub804 subtract  Inf  -0     ->  Infinity
543ddsub805 subtract  Inf  -1     ->  Infinity
544ddsub806 subtract  Inf  -1000  ->  Infinity
545ddsub807 subtract  Inf  -Inf   ->  Infinity
546ddsub808 subtract -1000 -Inf   ->  Infinity
547ddsub809 subtract -Inf  -Inf   ->  NaN  Invalid_operation
548ddsub810 subtract -1    -Inf   ->  Infinity
549ddsub811 subtract -0    -Inf   ->  Infinity
550ddsub812 subtract  0    -Inf   ->  Infinity
551ddsub813 subtract  1    -Inf   ->  Infinity
552ddsub814 subtract  1000 -Inf   ->  Infinity
553ddsub815 subtract  Inf  -Inf   ->  Infinity
554
555ddsub821 subtract  NaN   Inf   ->  NaN
556ddsub822 subtract -NaN   1000  -> -NaN
557ddsub823 subtract  NaN   1     ->  NaN
558ddsub824 subtract  NaN   0     ->  NaN
559ddsub825 subtract  NaN  -0     ->  NaN
560ddsub826 subtract  NaN  -1     ->  NaN
561ddsub827 subtract  NaN  -1000  ->  NaN
562ddsub828 subtract  NaN  -Inf   ->  NaN
563ddsub829 subtract -NaN   NaN   -> -NaN
564ddsub830 subtract -Inf   NaN   ->  NaN
565ddsub831 subtract -1000  NaN   ->  NaN
566ddsub832 subtract -1     NaN   ->  NaN
567ddsub833 subtract -0     NaN   ->  NaN
568ddsub834 subtract  0     NaN   ->  NaN
569ddsub835 subtract  1     NaN   ->  NaN
570ddsub836 subtract  1000 -NaN   -> -NaN
571ddsub837 subtract  Inf   NaN   ->  NaN
572
573ddsub841 subtract  sNaN  Inf   ->  NaN  Invalid_operation
574ddsub842 subtract -sNaN  1000  -> -NaN  Invalid_operation
575ddsub843 subtract  sNaN  1     ->  NaN  Invalid_operation
576ddsub844 subtract  sNaN  0     ->  NaN  Invalid_operation
577ddsub845 subtract  sNaN -0     ->  NaN  Invalid_operation
578ddsub846 subtract  sNaN -1     ->  NaN  Invalid_operation
579ddsub847 subtract  sNaN -1000  ->  NaN  Invalid_operation
580ddsub848 subtract  sNaN  NaN   ->  NaN  Invalid_operation
581ddsub849 subtract  sNaN sNaN   ->  NaN  Invalid_operation
582ddsub850 subtract  NaN  sNaN   ->  NaN  Invalid_operation
583ddsub851 subtract -Inf -sNaN   -> -NaN  Invalid_operation
584ddsub852 subtract -1000 sNaN   ->  NaN  Invalid_operation
585ddsub853 subtract -1    sNaN   ->  NaN  Invalid_operation
586ddsub854 subtract -0    sNaN   ->  NaN  Invalid_operation
587ddsub855 subtract  0    sNaN   ->  NaN  Invalid_operation
588ddsub856 subtract  1    sNaN   ->  NaN  Invalid_operation
589ddsub857 subtract  1000 sNaN   ->  NaN  Invalid_operation
590ddsub858 subtract  Inf  sNaN   ->  NaN  Invalid_operation
591ddsub859 subtract  NaN  sNaN   ->  NaN  Invalid_operation
592
593-- propagating NaNs
594ddsub861 subtract  NaN01   -Inf     ->  NaN1
595ddsub862 subtract -NaN02   -1000    -> -NaN2
596ddsub863 subtract  NaN03    1000    ->  NaN3
597ddsub864 subtract  NaN04    Inf     ->  NaN4
598ddsub865 subtract  NaN05    NaN61   ->  NaN5
599ddsub866 subtract -Inf     -NaN71   -> -NaN71
600ddsub867 subtract -1000     NaN81   ->  NaN81
601ddsub868 subtract  1000     NaN91   ->  NaN91
602ddsub869 subtract  Inf      NaN101  ->  NaN101
603ddsub871 subtract  sNaN011  -Inf    ->  NaN11  Invalid_operation
604ddsub872 subtract  sNaN012  -1000   ->  NaN12  Invalid_operation
605ddsub873 subtract -sNaN013   1000   -> -NaN13  Invalid_operation
606ddsub874 subtract  sNaN014   NaN171 ->  NaN14  Invalid_operation
607ddsub875 subtract  sNaN015  sNaN181 ->  NaN15  Invalid_operation
608ddsub876 subtract  NaN016   sNaN191 ->  NaN191 Invalid_operation
609ddsub877 subtract -Inf      sNaN201 ->  NaN201 Invalid_operation
610ddsub878 subtract -1000     sNaN211 ->  NaN211 Invalid_operation
611ddsub879 subtract  1000    -sNaN221 -> -NaN221 Invalid_operation
612ddsub880 subtract  Inf      sNaN231 ->  NaN231 Invalid_operation
613ddsub881 subtract  NaN025   sNaN241 ->  NaN241 Invalid_operation
614
615-- edge case spills
616ddsub901 subtract  2.E-3  1.002  -> -1.000
617ddsub902 subtract  2.0E-3  1.002  -> -1.0000
618ddsub903 subtract  2.00E-3  1.0020  -> -1.00000
619ddsub904 subtract  2.000E-3  1.00200  -> -1.000000
620ddsub905 subtract  2.0000E-3  1.002000  -> -1.0000000
621ddsub906 subtract  2.00000E-3  1.0020000  -> -1.00000000
622ddsub907 subtract  2.000000E-3  1.00200000  -> -1.000000000
623ddsub908 subtract  2.0000000E-3  1.002000000  -> -1.0000000000
624
625-- subnormals and overflows covered under Add
626
627-- Null tests
628ddsub9990 subtract 10  # -> NaN Invalid_operation
629ddsub9991 subtract  # 10 -> NaN Invalid_operation
630