|
1 ------------------------------------------------------------------------ |
|
2 -- ddMultiply.decTest -- decDouble multiplication -- |
|
3 -- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57 |
|
21 |
|
22 -- This set of tests are for decDoubles only; all arguments are |
|
23 -- representable in a decDouble |
|
24 precision: 16 |
|
25 maxExponent: 384 |
|
26 minExponent: -383 |
|
27 extended: 1 |
|
28 clamp: 1 |
|
29 rounding: half_even |
|
30 |
|
31 -- sanity checks |
|
32 ddmul000 multiply 2 2 -> 4 |
|
33 ddmul001 multiply 2 3 -> 6 |
|
34 ddmul002 multiply 5 1 -> 5 |
|
35 ddmul003 multiply 5 2 -> 10 |
|
36 ddmul004 multiply 1.20 2 -> 2.40 |
|
37 ddmul005 multiply 1.20 0 -> 0.00 |
|
38 ddmul006 multiply 1.20 -2 -> -2.40 |
|
39 ddmul007 multiply -1.20 2 -> -2.40 |
|
40 ddmul008 multiply -1.20 0 -> -0.00 |
|
41 ddmul009 multiply -1.20 -2 -> 2.40 |
|
42 ddmul010 multiply 5.09 7.1 -> 36.139 |
|
43 ddmul011 multiply 2.5 4 -> 10.0 |
|
44 ddmul012 multiply 2.50 4 -> 10.00 |
|
45 ddmul013 multiply 1.23456789 1.00000000 -> 1.234567890000000 Rounded |
|
46 ddmul015 multiply 2.50 4 -> 10.00 |
|
47 ddmul016 multiply 9.999999999 9.999999999 -> 99.99999998000000 Inexact Rounded |
|
48 ddmul017 multiply 9.999999999 -9.999999999 -> -99.99999998000000 Inexact Rounded |
|
49 ddmul018 multiply -9.999999999 9.999999999 -> -99.99999998000000 Inexact Rounded |
|
50 ddmul019 multiply -9.999999999 -9.999999999 -> 99.99999998000000 Inexact Rounded |
|
51 |
|
52 -- zeros, etc. |
|
53 ddmul021 multiply 0 0 -> 0 |
|
54 ddmul022 multiply 0 -0 -> -0 |
|
55 ddmul023 multiply -0 0 -> -0 |
|
56 ddmul024 multiply -0 -0 -> 0 |
|
57 ddmul025 multiply -0.0 -0.0 -> 0.00 |
|
58 ddmul026 multiply -0.0 -0.0 -> 0.00 |
|
59 ddmul027 multiply -0.0 -0.0 -> 0.00 |
|
60 ddmul028 multiply -0.0 -0.0 -> 0.00 |
|
61 ddmul030 multiply 5.00 1E-3 -> 0.00500 |
|
62 ddmul031 multiply 00.00 0.000 -> 0.00000 |
|
63 ddmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0 |
|
64 ddmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0 |
|
65 ddmul034 multiply -5.00 1E-3 -> -0.00500 |
|
66 ddmul035 multiply -00.00 0.000 -> -0.00000 |
|
67 ddmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0 |
|
68 ddmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0 |
|
69 ddmul038 multiply 5.00 -1E-3 -> -0.00500 |
|
70 ddmul039 multiply 00.00 -0.000 -> -0.00000 |
|
71 ddmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0 |
|
72 ddmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0 |
|
73 ddmul042 multiply -5.00 -1E-3 -> 0.00500 |
|
74 ddmul043 multiply -00.00 -0.000 -> 0.00000 |
|
75 ddmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0 |
|
76 ddmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0 |
|
77 |
|
78 -- examples from decarith |
|
79 ddmul050 multiply 1.20 3 -> 3.60 |
|
80 ddmul051 multiply 7 3 -> 21 |
|
81 ddmul052 multiply 0.9 0.8 -> 0.72 |
|
82 ddmul053 multiply 0.9 -0 -> -0.0 |
|
83 ddmul054 multiply 654321 654321 -> 428135971041 |
|
84 |
|
85 ddmul060 multiply 123.45 1e7 -> 1.2345E+9 |
|
86 ddmul061 multiply 123.45 1e8 -> 1.2345E+10 |
|
87 ddmul062 multiply 123.45 1e+9 -> 1.2345E+11 |
|
88 ddmul063 multiply 123.45 1e10 -> 1.2345E+12 |
|
89 ddmul064 multiply 123.45 1e11 -> 1.2345E+13 |
|
90 ddmul065 multiply 123.45 1e12 -> 1.2345E+14 |
|
91 ddmul066 multiply 123.45 1e13 -> 1.2345E+15 |
|
92 |
|
93 |
|
94 -- test some intermediate lengths |
|
95 -- 1234567890123456 |
|
96 ddmul080 multiply 0.1 1230123456456789 -> 123012345645678.9 |
|
97 ddmul084 multiply 0.1 1230123456456789 -> 123012345645678.9 |
|
98 ddmul090 multiply 1230123456456789 0.1 -> 123012345645678.9 |
|
99 ddmul094 multiply 1230123456456789 0.1 -> 123012345645678.9 |
|
100 |
|
101 -- test some more edge cases and carries |
|
102 ddmul101 multiply 9 9 -> 81 |
|
103 ddmul102 multiply 9 90 -> 810 |
|
104 ddmul103 multiply 9 900 -> 8100 |
|
105 ddmul104 multiply 9 9000 -> 81000 |
|
106 ddmul105 multiply 9 90000 -> 810000 |
|
107 ddmul106 multiply 9 900000 -> 8100000 |
|
108 ddmul107 multiply 9 9000000 -> 81000000 |
|
109 ddmul108 multiply 9 90000000 -> 810000000 |
|
110 ddmul109 multiply 9 900000000 -> 8100000000 |
|
111 ddmul110 multiply 9 9000000000 -> 81000000000 |
|
112 ddmul111 multiply 9 90000000000 -> 810000000000 |
|
113 ddmul112 multiply 9 900000000000 -> 8100000000000 |
|
114 ddmul113 multiply 9 9000000000000 -> 81000000000000 |
|
115 ddmul114 multiply 9 90000000000000 -> 810000000000000 |
|
116 ddmul115 multiply 9 900000000000000 -> 8100000000000000 |
|
117 --ddmul116 multiply 9 9000000000000000 -> 81000000000000000 |
|
118 --ddmul117 multiply 9 90000000000000000 -> 810000000000000000 |
|
119 --ddmul118 multiply 9 900000000000000000 -> 8100000000000000000 |
|
120 --ddmul119 multiply 9 9000000000000000000 -> 81000000000000000000 |
|
121 --ddmul120 multiply 9 90000000000000000000 -> 810000000000000000000 |
|
122 --ddmul121 multiply 9 900000000000000000000 -> 8100000000000000000000 |
|
123 --ddmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000 |
|
124 --ddmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000 |
|
125 -- test some more edge cases without carries |
|
126 ddmul131 multiply 3 3 -> 9 |
|
127 ddmul132 multiply 3 30 -> 90 |
|
128 ddmul133 multiply 3 300 -> 900 |
|
129 ddmul134 multiply 3 3000 -> 9000 |
|
130 ddmul135 multiply 3 30000 -> 90000 |
|
131 ddmul136 multiply 3 300000 -> 900000 |
|
132 ddmul137 multiply 3 3000000 -> 9000000 |
|
133 ddmul138 multiply 3 30000000 -> 90000000 |
|
134 ddmul139 multiply 3 300000000 -> 900000000 |
|
135 ddmul140 multiply 3 3000000000 -> 9000000000 |
|
136 ddmul141 multiply 3 30000000000 -> 90000000000 |
|
137 ddmul142 multiply 3 300000000000 -> 900000000000 |
|
138 ddmul143 multiply 3 3000000000000 -> 9000000000000 |
|
139 ddmul144 multiply 3 30000000000000 -> 90000000000000 |
|
140 ddmul145 multiply 3 300000000000000 -> 900000000000000 |
|
141 |
|
142 -- test some edge cases with exact rounding |
|
143 ddmul301 multiply 9 9 -> 81 |
|
144 ddmul302 multiply 9 90 -> 810 |
|
145 ddmul303 multiply 9 900 -> 8100 |
|
146 ddmul304 multiply 9 9000 -> 81000 |
|
147 ddmul305 multiply 9 90000 -> 810000 |
|
148 ddmul306 multiply 9 900000 -> 8100000 |
|
149 ddmul307 multiply 9 9000000 -> 81000000 |
|
150 ddmul308 multiply 9 90000000 -> 810000000 |
|
151 ddmul309 multiply 9 900000000 -> 8100000000 |
|
152 ddmul310 multiply 9 9000000000 -> 81000000000 |
|
153 ddmul311 multiply 9 90000000000 -> 810000000000 |
|
154 ddmul312 multiply 9 900000000000 -> 8100000000000 |
|
155 ddmul313 multiply 9 9000000000000 -> 81000000000000 |
|
156 ddmul314 multiply 9 90000000000000 -> 810000000000000 |
|
157 ddmul315 multiply 9 900000000000000 -> 8100000000000000 |
|
158 ddmul316 multiply 9 9000000000000000 -> 8.100000000000000E+16 Rounded |
|
159 ddmul317 multiply 90 9000000000000000 -> 8.100000000000000E+17 Rounded |
|
160 ddmul318 multiply 900 9000000000000000 -> 8.100000000000000E+18 Rounded |
|
161 ddmul319 multiply 9000 9000000000000000 -> 8.100000000000000E+19 Rounded |
|
162 ddmul320 multiply 90000 9000000000000000 -> 8.100000000000000E+20 Rounded |
|
163 ddmul321 multiply 900000 9000000000000000 -> 8.100000000000000E+21 Rounded |
|
164 ddmul322 multiply 9000000 9000000000000000 -> 8.100000000000000E+22 Rounded |
|
165 ddmul323 multiply 90000000 9000000000000000 -> 8.100000000000000E+23 Rounded |
|
166 |
|
167 -- tryzeros cases |
|
168 ddmul504 multiply 0E-260 1000E-260 -> 0E-398 Clamped |
|
169 ddmul505 multiply 100E+260 0E+260 -> 0E+369 Clamped |
|
170 |
|
171 -- mixed with zeros |
|
172 ddmul541 multiply 0 -1 -> -0 |
|
173 ddmul542 multiply -0 -1 -> 0 |
|
174 ddmul543 multiply 0 1 -> 0 |
|
175 ddmul544 multiply -0 1 -> -0 |
|
176 ddmul545 multiply -1 0 -> -0 |
|
177 ddmul546 multiply -1 -0 -> 0 |
|
178 ddmul547 multiply 1 0 -> 0 |
|
179 ddmul548 multiply 1 -0 -> -0 |
|
180 |
|
181 ddmul551 multiply 0.0 -1 -> -0.0 |
|
182 ddmul552 multiply -0.0 -1 -> 0.0 |
|
183 ddmul553 multiply 0.0 1 -> 0.0 |
|
184 ddmul554 multiply -0.0 1 -> -0.0 |
|
185 ddmul555 multiply -1.0 0 -> -0.0 |
|
186 ddmul556 multiply -1.0 -0 -> 0.0 |
|
187 ddmul557 multiply 1.0 0 -> 0.0 |
|
188 ddmul558 multiply 1.0 -0 -> -0.0 |
|
189 |
|
190 ddmul561 multiply 0 -1.0 -> -0.0 |
|
191 ddmul562 multiply -0 -1.0 -> 0.0 |
|
192 ddmul563 multiply 0 1.0 -> 0.0 |
|
193 ddmul564 multiply -0 1.0 -> -0.0 |
|
194 ddmul565 multiply -1 0.0 -> -0.0 |
|
195 ddmul566 multiply -1 -0.0 -> 0.0 |
|
196 ddmul567 multiply 1 0.0 -> 0.0 |
|
197 ddmul568 multiply 1 -0.0 -> -0.0 |
|
198 |
|
199 ddmul571 multiply 0.0 -1.0 -> -0.00 |
|
200 ddmul572 multiply -0.0 -1.0 -> 0.00 |
|
201 ddmul573 multiply 0.0 1.0 -> 0.00 |
|
202 ddmul574 multiply -0.0 1.0 -> -0.00 |
|
203 ddmul575 multiply -1.0 0.0 -> -0.00 |
|
204 ddmul576 multiply -1.0 -0.0 -> 0.00 |
|
205 ddmul577 multiply 1.0 0.0 -> 0.00 |
|
206 ddmul578 multiply 1.0 -0.0 -> -0.00 |
|
207 |
|
208 |
|
209 -- Specials |
|
210 ddmul580 multiply Inf -Inf -> -Infinity |
|
211 ddmul581 multiply Inf -1000 -> -Infinity |
|
212 ddmul582 multiply Inf -1 -> -Infinity |
|
213 ddmul583 multiply Inf -0 -> NaN Invalid_operation |
|
214 ddmul584 multiply Inf 0 -> NaN Invalid_operation |
|
215 ddmul585 multiply Inf 1 -> Infinity |
|
216 ddmul586 multiply Inf 1000 -> Infinity |
|
217 ddmul587 multiply Inf Inf -> Infinity |
|
218 ddmul588 multiply -1000 Inf -> -Infinity |
|
219 ddmul589 multiply -Inf Inf -> -Infinity |
|
220 ddmul590 multiply -1 Inf -> -Infinity |
|
221 ddmul591 multiply -0 Inf -> NaN Invalid_operation |
|
222 ddmul592 multiply 0 Inf -> NaN Invalid_operation |
|
223 ddmul593 multiply 1 Inf -> Infinity |
|
224 ddmul594 multiply 1000 Inf -> Infinity |
|
225 ddmul595 multiply Inf Inf -> Infinity |
|
226 |
|
227 ddmul600 multiply -Inf -Inf -> Infinity |
|
228 ddmul601 multiply -Inf -1000 -> Infinity |
|
229 ddmul602 multiply -Inf -1 -> Infinity |
|
230 ddmul603 multiply -Inf -0 -> NaN Invalid_operation |
|
231 ddmul604 multiply -Inf 0 -> NaN Invalid_operation |
|
232 ddmul605 multiply -Inf 1 -> -Infinity |
|
233 ddmul606 multiply -Inf 1000 -> -Infinity |
|
234 ddmul607 multiply -Inf Inf -> -Infinity |
|
235 ddmul608 multiply -1000 Inf -> -Infinity |
|
236 ddmul609 multiply -Inf -Inf -> Infinity |
|
237 ddmul610 multiply -1 -Inf -> Infinity |
|
238 ddmul611 multiply -0 -Inf -> NaN Invalid_operation |
|
239 ddmul612 multiply 0 -Inf -> NaN Invalid_operation |
|
240 ddmul613 multiply 1 -Inf -> -Infinity |
|
241 ddmul614 multiply 1000 -Inf -> -Infinity |
|
242 ddmul615 multiply Inf -Inf -> -Infinity |
|
243 |
|
244 ddmul621 multiply NaN -Inf -> NaN |
|
245 ddmul622 multiply NaN -1000 -> NaN |
|
246 ddmul623 multiply NaN -1 -> NaN |
|
247 ddmul624 multiply NaN -0 -> NaN |
|
248 ddmul625 multiply NaN 0 -> NaN |
|
249 ddmul626 multiply NaN 1 -> NaN |
|
250 ddmul627 multiply NaN 1000 -> NaN |
|
251 ddmul628 multiply NaN Inf -> NaN |
|
252 ddmul629 multiply NaN NaN -> NaN |
|
253 ddmul630 multiply -Inf NaN -> NaN |
|
254 ddmul631 multiply -1000 NaN -> NaN |
|
255 ddmul632 multiply -1 NaN -> NaN |
|
256 ddmul633 multiply -0 NaN -> NaN |
|
257 ddmul634 multiply 0 NaN -> NaN |
|
258 ddmul635 multiply 1 NaN -> NaN |
|
259 ddmul636 multiply 1000 NaN -> NaN |
|
260 ddmul637 multiply Inf NaN -> NaN |
|
261 |
|
262 ddmul641 multiply sNaN -Inf -> NaN Invalid_operation |
|
263 ddmul642 multiply sNaN -1000 -> NaN Invalid_operation |
|
264 ddmul643 multiply sNaN -1 -> NaN Invalid_operation |
|
265 ddmul644 multiply sNaN -0 -> NaN Invalid_operation |
|
266 ddmul645 multiply sNaN 0 -> NaN Invalid_operation |
|
267 ddmul646 multiply sNaN 1 -> NaN Invalid_operation |
|
268 ddmul647 multiply sNaN 1000 -> NaN Invalid_operation |
|
269 ddmul648 multiply sNaN NaN -> NaN Invalid_operation |
|
270 ddmul649 multiply sNaN sNaN -> NaN Invalid_operation |
|
271 ddmul650 multiply NaN sNaN -> NaN Invalid_operation |
|
272 ddmul651 multiply -Inf sNaN -> NaN Invalid_operation |
|
273 ddmul652 multiply -1000 sNaN -> NaN Invalid_operation |
|
274 ddmul653 multiply -1 sNaN -> NaN Invalid_operation |
|
275 ddmul654 multiply -0 sNaN -> NaN Invalid_operation |
|
276 ddmul655 multiply 0 sNaN -> NaN Invalid_operation |
|
277 ddmul656 multiply 1 sNaN -> NaN Invalid_operation |
|
278 ddmul657 multiply 1000 sNaN -> NaN Invalid_operation |
|
279 ddmul658 multiply Inf sNaN -> NaN Invalid_operation |
|
280 ddmul659 multiply NaN sNaN -> NaN Invalid_operation |
|
281 |
|
282 -- propagating NaNs |
|
283 ddmul661 multiply NaN9 -Inf -> NaN9 |
|
284 ddmul662 multiply NaN8 999 -> NaN8 |
|
285 ddmul663 multiply NaN71 Inf -> NaN71 |
|
286 ddmul664 multiply NaN6 NaN5 -> NaN6 |
|
287 ddmul665 multiply -Inf NaN4 -> NaN4 |
|
288 ddmul666 multiply -999 NaN33 -> NaN33 |
|
289 ddmul667 multiply Inf NaN2 -> NaN2 |
|
290 |
|
291 ddmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation |
|
292 ddmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation |
|
293 ddmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation |
|
294 ddmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation |
|
295 ddmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation |
|
296 ddmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation |
|
297 ddmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation |
|
298 ddmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation |
|
299 ddmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation |
|
300 |
|
301 ddmul681 multiply -NaN9 -Inf -> -NaN9 |
|
302 ddmul682 multiply -NaN8 999 -> -NaN8 |
|
303 ddmul683 multiply -NaN71 Inf -> -NaN71 |
|
304 ddmul684 multiply -NaN6 -NaN5 -> -NaN6 |
|
305 ddmul685 multiply -Inf -NaN4 -> -NaN4 |
|
306 ddmul686 multiply -999 -NaN33 -> -NaN33 |
|
307 ddmul687 multiply Inf -NaN2 -> -NaN2 |
|
308 |
|
309 ddmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation |
|
310 ddmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation |
|
311 ddmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation |
|
312 ddmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation |
|
313 ddmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation |
|
314 ddmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation |
|
315 ddmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation |
|
316 ddmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation |
|
317 ddmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation |
|
318 |
|
319 ddmul701 multiply -NaN -Inf -> -NaN |
|
320 ddmul702 multiply -NaN 999 -> -NaN |
|
321 ddmul703 multiply -NaN Inf -> -NaN |
|
322 ddmul704 multiply -NaN -NaN -> -NaN |
|
323 ddmul705 multiply -Inf -NaN0 -> -NaN |
|
324 ddmul706 multiply -999 -NaN -> -NaN |
|
325 ddmul707 multiply Inf -NaN -> -NaN |
|
326 |
|
327 ddmul711 multiply -sNaN -Inf -> -NaN Invalid_operation |
|
328 ddmul712 multiply -sNaN -11 -> -NaN Invalid_operation |
|
329 ddmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation |
|
330 ddmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation |
|
331 ddmul715 multiply -NaN -sNaN -> -NaN Invalid_operation |
|
332 ddmul716 multiply -Inf -sNaN -> -NaN Invalid_operation |
|
333 ddmul717 multiply 088 -sNaN -> -NaN Invalid_operation |
|
334 ddmul718 multiply Inf -sNaN -> -NaN Invalid_operation |
|
335 ddmul719 multiply -NaN -sNaN -> -NaN Invalid_operation |
|
336 |
|
337 -- overflow and underflow tests .. note subnormal results |
|
338 -- signs |
|
339 ddmul751 multiply 1e+277 1e+311 -> Infinity Overflow Inexact Rounded |
|
340 ddmul752 multiply 1e+277 -1e+311 -> -Infinity Overflow Inexact Rounded |
|
341 ddmul753 multiply -1e+277 1e+311 -> -Infinity Overflow Inexact Rounded |
|
342 ddmul754 multiply -1e+277 -1e+311 -> Infinity Overflow Inexact Rounded |
|
343 ddmul755 multiply 1e-277 1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
344 ddmul756 multiply 1e-277 -1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
345 ddmul757 multiply -1e-277 1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
346 ddmul758 multiply -1e-277 -1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
347 |
|
348 -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) |
|
349 ddmul760 multiply 1e-291 1e-101 -> 1E-392 Subnormal |
|
350 ddmul761 multiply 1e-291 1e-102 -> 1E-393 Subnormal |
|
351 ddmul762 multiply 1e-291 1e-103 -> 1E-394 Subnormal |
|
352 ddmul763 multiply 1e-291 1e-104 -> 1E-395 Subnormal |
|
353 ddmul764 multiply 1e-291 1e-105 -> 1E-396 Subnormal |
|
354 ddmul765 multiply 1e-291 1e-106 -> 1E-397 Subnormal |
|
355 ddmul766 multiply 1e-291 1e-107 -> 1E-398 Subnormal |
|
356 ddmul767 multiply 1e-291 1e-108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
357 ddmul768 multiply 1e-291 1e-109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
358 ddmul769 multiply 1e-291 1e-110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
359 -- [no equivalent of 'subnormal' for overflow] |
|
360 ddmul770 multiply 1e+60 1e+321 -> 1.000000000000E+381 Clamped |
|
361 ddmul771 multiply 1e+60 1e+322 -> 1.0000000000000E+382 Clamped |
|
362 ddmul772 multiply 1e+60 1e+323 -> 1.00000000000000E+383 Clamped |
|
363 ddmul773 multiply 1e+60 1e+324 -> 1.000000000000000E+384 Clamped |
|
364 ddmul774 multiply 1e+60 1e+325 -> Infinity Overflow Inexact Rounded |
|
365 ddmul775 multiply 1e+60 1e+326 -> Infinity Overflow Inexact Rounded |
|
366 ddmul776 multiply 1e+60 1e+327 -> Infinity Overflow Inexact Rounded |
|
367 ddmul777 multiply 1e+60 1e+328 -> Infinity Overflow Inexact Rounded |
|
368 ddmul778 multiply 1e+60 1e+329 -> Infinity Overflow Inexact Rounded |
|
369 ddmul779 multiply 1e+60 1e+330 -> Infinity Overflow Inexact Rounded |
|
370 |
|
371 ddmul801 multiply 1.0000E-394 1 -> 1.0000E-394 Subnormal |
|
372 ddmul802 multiply 1.000E-394 1e-1 -> 1.000E-395 Subnormal |
|
373 ddmul803 multiply 1.00E-394 1e-2 -> 1.00E-396 Subnormal |
|
374 ddmul804 multiply 1.0E-394 1e-3 -> 1.0E-397 Subnormal |
|
375 ddmul805 multiply 1.0E-394 1e-4 -> 1E-398 Subnormal Rounded |
|
376 ddmul806 multiply 1.3E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded |
|
377 ddmul807 multiply 1.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
378 ddmul808 multiply 1.7E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
379 ddmul809 multiply 2.3E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
380 ddmul810 multiply 2.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
381 ddmul811 multiply 2.7E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded |
|
382 ddmul812 multiply 1.49E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded |
|
383 ddmul813 multiply 1.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
384 ddmul814 multiply 1.51E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
385 ddmul815 multiply 2.49E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
386 ddmul816 multiply 2.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded |
|
387 ddmul817 multiply 2.51E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded |
|
388 |
|
389 ddmul818 multiply 1E-394 1e-4 -> 1E-398 Subnormal |
|
390 ddmul819 multiply 3E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
391 ddmul820 multiply 5E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
392 ddmul821 multiply 7E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded |
|
393 ddmul822 multiply 9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded |
|
394 ddmul823 multiply 9.9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded |
|
395 |
|
396 ddmul824 multiply 1E-394 -1e-4 -> -1E-398 Subnormal |
|
397 ddmul825 multiply 3E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
398 ddmul826 multiply -5E-394 1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
399 ddmul827 multiply 7E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded |
|
400 ddmul828 multiply -9E-394 1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded |
|
401 ddmul829 multiply 9.9E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded |
|
402 ddmul830 multiply 3.0E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
403 |
|
404 ddmul831 multiply 1.0E-199 1e-200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
|
405 ddmul832 multiply 1.0E-199 1e-199 -> 1E-398 Subnormal Rounded |
|
406 ddmul833 multiply 1.0E-199 1e-198 -> 1.0E-397 Subnormal |
|
407 ddmul834 multiply 2.0E-199 2e-198 -> 4.0E-397 Subnormal |
|
408 ddmul835 multiply 4.0E-199 4e-198 -> 1.60E-396 Subnormal |
|
409 ddmul836 multiply 10.0E-199 10e-198 -> 1.000E-395 Subnormal |
|
410 ddmul837 multiply 30.0E-199 30e-198 -> 9.000E-395 Subnormal |
|
411 ddmul838 multiply 40.0E-199 40e-188 -> 1.6000E-384 Subnormal |
|
412 ddmul839 multiply 40.0E-199 40e-187 -> 1.6000E-383 |
|
413 ddmul840 multiply 40.0E-199 40e-186 -> 1.6000E-382 |
|
414 |
|
415 -- Long operand overflow may be a different path |
|
416 ddmul870 multiply 100 9.999E+383 -> Infinity Inexact Overflow Rounded |
|
417 ddmul871 multiply 100 -9.999E+383 -> -Infinity Inexact Overflow Rounded |
|
418 ddmul872 multiply 9.999E+383 100 -> Infinity Inexact Overflow Rounded |
|
419 ddmul873 multiply -9.999E+383 100 -> -Infinity Inexact Overflow Rounded |
|
420 |
|
421 -- check for double-rounded subnormals |
|
422 ddmul881 multiply 1.2347E-355 1.2347E-40 -> 1.524E-395 Inexact Rounded Subnormal Underflow |
|
423 ddmul882 multiply 1.234E-355 1.234E-40 -> 1.523E-395 Inexact Rounded Subnormal Underflow |
|
424 ddmul883 multiply 1.23E-355 1.23E-40 -> 1.513E-395 Inexact Rounded Subnormal Underflow |
|
425 ddmul884 multiply 1.2E-355 1.2E-40 -> 1.44E-395 Subnormal |
|
426 ddmul885 multiply 1.2E-355 1.2E-41 -> 1.44E-396 Subnormal |
|
427 ddmul886 multiply 1.2E-355 1.2E-42 -> 1.4E-397 Subnormal Inexact Rounded Underflow |
|
428 ddmul887 multiply 1.2E-355 1.3E-42 -> 1.6E-397 Subnormal Inexact Rounded Underflow |
|
429 ddmul888 multiply 1.3E-355 1.3E-42 -> 1.7E-397 Subnormal Inexact Rounded Underflow |
|
430 ddmul889 multiply 1.3E-355 1.3E-43 -> 2E-398 Subnormal Inexact Rounded Underflow |
|
431 ddmul890 multiply 1.3E-356 1.3E-43 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow |
|
432 |
|
433 ddmul891 multiply 1.2345E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow |
|
434 ddmul892 multiply 1.23456E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow |
|
435 ddmul893 multiply 1.2345E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow |
|
436 ddmul894 multiply 1.23456E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow |
|
437 ddmul895 multiply 1.2345E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow |
|
438 ddmul896 multiply 1.23456E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow |
|
439 |
|
440 -- Now explore the case where we get a normal result with Underflow |
|
441 -- 1 234567890123456 |
|
442 ddmul900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded |
|
443 ddmul901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded |
|
444 ddmul902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded |
|
445 ddmul903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded |
|
446 ddmul904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded |
|
447 ddmul905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded |
|
448 -- prove operands are exact |
|
449 ddmul906 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383 |
|
450 ddmul907 multiply 1 0.09999999999999999 -> 0.09999999999999999 |
|
451 -- the next rounds to Nmin |
|
452 ddmul908 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
|
453 |
|
454 -- hugest |
|
455 ddmul909 multiply 9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded |
|
456 |
|
457 -- power-of-ten edge cases |
|
458 ddmul1001 multiply 1 10 -> 10 |
|
459 ddmul1002 multiply 1 100 -> 100 |
|
460 ddmul1003 multiply 1 1000 -> 1000 |
|
461 ddmul1004 multiply 1 10000 -> 10000 |
|
462 ddmul1005 multiply 1 100000 -> 100000 |
|
463 ddmul1006 multiply 1 1000000 -> 1000000 |
|
464 ddmul1007 multiply 1 10000000 -> 10000000 |
|
465 ddmul1008 multiply 1 100000000 -> 100000000 |
|
466 ddmul1009 multiply 1 1000000000 -> 1000000000 |
|
467 ddmul1010 multiply 1 10000000000 -> 10000000000 |
|
468 ddmul1011 multiply 1 100000000000 -> 100000000000 |
|
469 ddmul1012 multiply 1 1000000000000 -> 1000000000000 |
|
470 ddmul1013 multiply 1 10000000000000 -> 10000000000000 |
|
471 ddmul1014 multiply 1 100000000000000 -> 100000000000000 |
|
472 ddmul1015 multiply 1 1000000000000000 -> 1000000000000000 |
|
473 ddmul1021 multiply 10 1 -> 10 |
|
474 ddmul1022 multiply 10 10 -> 100 |
|
475 ddmul1023 multiply 10 100 -> 1000 |
|
476 ddmul1024 multiply 10 1000 -> 10000 |
|
477 ddmul1025 multiply 10 10000 -> 100000 |
|
478 ddmul1026 multiply 10 100000 -> 1000000 |
|
479 ddmul1027 multiply 10 1000000 -> 10000000 |
|
480 ddmul1028 multiply 10 10000000 -> 100000000 |
|
481 ddmul1029 multiply 10 100000000 -> 1000000000 |
|
482 ddmul1030 multiply 10 1000000000 -> 10000000000 |
|
483 ddmul1031 multiply 10 10000000000 -> 100000000000 |
|
484 ddmul1032 multiply 10 100000000000 -> 1000000000000 |
|
485 ddmul1033 multiply 10 1000000000000 -> 10000000000000 |
|
486 ddmul1034 multiply 10 10000000000000 -> 100000000000000 |
|
487 ddmul1035 multiply 10 100000000000000 -> 1000000000000000 |
|
488 ddmul1041 multiply 100 0.1 -> 10.0 |
|
489 ddmul1042 multiply 100 1 -> 100 |
|
490 ddmul1043 multiply 100 10 -> 1000 |
|
491 ddmul1044 multiply 100 100 -> 10000 |
|
492 ddmul1045 multiply 100 1000 -> 100000 |
|
493 ddmul1046 multiply 100 10000 -> 1000000 |
|
494 ddmul1047 multiply 100 100000 -> 10000000 |
|
495 ddmul1048 multiply 100 1000000 -> 100000000 |
|
496 ddmul1049 multiply 100 10000000 -> 1000000000 |
|
497 ddmul1050 multiply 100 100000000 -> 10000000000 |
|
498 ddmul1051 multiply 100 1000000000 -> 100000000000 |
|
499 ddmul1052 multiply 100 10000000000 -> 1000000000000 |
|
500 ddmul1053 multiply 100 100000000000 -> 10000000000000 |
|
501 ddmul1054 multiply 100 1000000000000 -> 100000000000000 |
|
502 ddmul1055 multiply 100 10000000000000 -> 1000000000000000 |
|
503 ddmul1061 multiply 1000 0.01 -> 10.00 |
|
504 ddmul1062 multiply 1000 0.1 -> 100.0 |
|
505 ddmul1063 multiply 1000 1 -> 1000 |
|
506 ddmul1064 multiply 1000 10 -> 10000 |
|
507 ddmul1065 multiply 1000 100 -> 100000 |
|
508 ddmul1066 multiply 1000 1000 -> 1000000 |
|
509 ddmul1067 multiply 1000 10000 -> 10000000 |
|
510 ddmul1068 multiply 1000 100000 -> 100000000 |
|
511 ddmul1069 multiply 1000 1000000 -> 1000000000 |
|
512 ddmul1070 multiply 1000 10000000 -> 10000000000 |
|
513 ddmul1071 multiply 1000 100000000 -> 100000000000 |
|
514 ddmul1072 multiply 1000 1000000000 -> 1000000000000 |
|
515 ddmul1073 multiply 1000 10000000000 -> 10000000000000 |
|
516 ddmul1074 multiply 1000 100000000000 -> 100000000000000 |
|
517 ddmul1075 multiply 1000 1000000000000 -> 1000000000000000 |
|
518 ddmul1081 multiply 10000 0.001 -> 10.000 |
|
519 ddmul1082 multiply 10000 0.01 -> 100.00 |
|
520 ddmul1083 multiply 10000 0.1 -> 1000.0 |
|
521 ddmul1084 multiply 10000 1 -> 10000 |
|
522 ddmul1085 multiply 10000 10 -> 100000 |
|
523 ddmul1086 multiply 10000 100 -> 1000000 |
|
524 ddmul1087 multiply 10000 1000 -> 10000000 |
|
525 ddmul1088 multiply 10000 10000 -> 100000000 |
|
526 ddmul1089 multiply 10000 100000 -> 1000000000 |
|
527 ddmul1090 multiply 10000 1000000 -> 10000000000 |
|
528 ddmul1091 multiply 10000 10000000 -> 100000000000 |
|
529 ddmul1092 multiply 10000 100000000 -> 1000000000000 |
|
530 ddmul1093 multiply 10000 1000000000 -> 10000000000000 |
|
531 ddmul1094 multiply 10000 10000000000 -> 100000000000000 |
|
532 ddmul1095 multiply 10000 100000000000 -> 1000000000000000 |
|
533 |
|
534 ddmul1097 multiply 10000 99999999999 -> 999999999990000 |
|
535 ddmul1098 multiply 10000 99999999999 -> 999999999990000 |
|
536 |
|
537 |
|
538 |
|
539 |
|
540 -- Null tests |
|
541 ddmul9990 multiply 10 # -> NaN Invalid_operation |
|
542 ddmul9991 multiply # 10 -> NaN Invalid_operation |
|
543 |
|
544 |
|
545 |
|
546 |