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4710c53d 1------------------------------------------------------------------------\r
2-- ddMultiply.decTest -- decDouble multiplication --\r
3-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --\r
4------------------------------------------------------------------------\r
5-- Please see the document "General Decimal Arithmetic Testcases" --\r
6-- at http://www2.hursley.ibm.com/decimal for the description of --\r
7-- these testcases. --\r
8-- --\r
9-- These testcases are experimental ('beta' versions), and they --\r
10-- may contain errors. They are offered on an as-is basis. In --\r
11-- particular, achieving the same results as the tests here is not --\r
12-- a guarantee that an implementation complies with any Standard --\r
13-- or specification. The tests are not exhaustive. --\r
14-- --\r
15-- Please send comments, suggestions, and corrections to the author: --\r
16-- Mike Cowlishaw, IBM Fellow --\r
17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --\r
18-- mfc@uk.ibm.com --\r
19------------------------------------------------------------------------\r
20version: 2.59\r
21\r
22-- This set of tests are for decDoubles only; all arguments are\r
23-- representable in a decDouble\r
24precision: 16\r
25maxExponent: 384\r
26minExponent: -383\r
27extended: 1\r
28clamp: 1\r
29rounding: half_even\r
30\r
31-- sanity checks\r
32ddmul000 multiply 2 2 -> 4\r
33ddmul001 multiply 2 3 -> 6\r
34ddmul002 multiply 5 1 -> 5\r
35ddmul003 multiply 5 2 -> 10\r
36ddmul004 multiply 1.20 2 -> 2.40\r
37ddmul005 multiply 1.20 0 -> 0.00\r
38ddmul006 multiply 1.20 -2 -> -2.40\r
39ddmul007 multiply -1.20 2 -> -2.40\r
40ddmul008 multiply -1.20 0 -> -0.00\r
41ddmul009 multiply -1.20 -2 -> 2.40\r
42ddmul010 multiply 5.09 7.1 -> 36.139\r
43ddmul011 multiply 2.5 4 -> 10.0\r
44ddmul012 multiply 2.50 4 -> 10.00\r
45ddmul013 multiply 1.23456789 1.00000000 -> 1.234567890000000 Rounded\r
46ddmul015 multiply 2.50 4 -> 10.00\r
47ddmul016 multiply 9.999999999 9.999999999 -> 99.99999998000000 Inexact Rounded\r
48ddmul017 multiply 9.999999999 -9.999999999 -> -99.99999998000000 Inexact Rounded\r
49ddmul018 multiply -9.999999999 9.999999999 -> -99.99999998000000 Inexact Rounded\r
50ddmul019 multiply -9.999999999 -9.999999999 -> 99.99999998000000 Inexact Rounded\r
51\r
52-- zeros, etc.\r
53ddmul021 multiply 0 0 -> 0\r
54ddmul022 multiply 0 -0 -> -0\r
55ddmul023 multiply -0 0 -> -0\r
56ddmul024 multiply -0 -0 -> 0\r
57ddmul025 multiply -0.0 -0.0 -> 0.00\r
58ddmul026 multiply -0.0 -0.0 -> 0.00\r
59ddmul027 multiply -0.0 -0.0 -> 0.00\r
60ddmul028 multiply -0.0 -0.0 -> 0.00\r
61ddmul030 multiply 5.00 1E-3 -> 0.00500\r
62ddmul031 multiply 00.00 0.000 -> 0.00000\r
63ddmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0\r
64ddmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0\r
65ddmul034 multiply -5.00 1E-3 -> -0.00500\r
66ddmul035 multiply -00.00 0.000 -> -0.00000\r
67ddmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0\r
68ddmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0\r
69ddmul038 multiply 5.00 -1E-3 -> -0.00500\r
70ddmul039 multiply 00.00 -0.000 -> -0.00000\r
71ddmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0\r
72ddmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0\r
73ddmul042 multiply -5.00 -1E-3 -> 0.00500\r
74ddmul043 multiply -00.00 -0.000 -> 0.00000\r
75ddmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0\r
76ddmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0\r
77\r
78-- examples from decarith\r
79ddmul050 multiply 1.20 3 -> 3.60\r
80ddmul051 multiply 7 3 -> 21\r
81ddmul052 multiply 0.9 0.8 -> 0.72\r
82ddmul053 multiply 0.9 -0 -> -0.0\r
83ddmul054 multiply 654321 654321 -> 428135971041\r
84\r
85ddmul060 multiply 123.45 1e7 -> 1.2345E+9\r
86ddmul061 multiply 123.45 1e8 -> 1.2345E+10\r
87ddmul062 multiply 123.45 1e+9 -> 1.2345E+11\r
88ddmul063 multiply 123.45 1e10 -> 1.2345E+12\r
89ddmul064 multiply 123.45 1e11 -> 1.2345E+13\r
90ddmul065 multiply 123.45 1e12 -> 1.2345E+14\r
91ddmul066 multiply 123.45 1e13 -> 1.2345E+15\r
92\r
93\r
94-- test some intermediate lengths\r
95-- 1234567890123456\r
96ddmul080 multiply 0.1 1230123456456789 -> 123012345645678.9\r
97ddmul084 multiply 0.1 1230123456456789 -> 123012345645678.9\r
98ddmul090 multiply 1230123456456789 0.1 -> 123012345645678.9\r
99ddmul094 multiply 1230123456456789 0.1 -> 123012345645678.9\r
100\r
101-- test some more edge cases and carries\r
102ddmul101 multiply 9 9 -> 81\r
103ddmul102 multiply 9 90 -> 810\r
104ddmul103 multiply 9 900 -> 8100\r
105ddmul104 multiply 9 9000 -> 81000\r
106ddmul105 multiply 9 90000 -> 810000\r
107ddmul106 multiply 9 900000 -> 8100000\r
108ddmul107 multiply 9 9000000 -> 81000000\r
109ddmul108 multiply 9 90000000 -> 810000000\r
110ddmul109 multiply 9 900000000 -> 8100000000\r
111ddmul110 multiply 9 9000000000 -> 81000000000\r
112ddmul111 multiply 9 90000000000 -> 810000000000\r
113ddmul112 multiply 9 900000000000 -> 8100000000000\r
114ddmul113 multiply 9 9000000000000 -> 81000000000000\r
115ddmul114 multiply 9 90000000000000 -> 810000000000000\r
116ddmul115 multiply 9 900000000000000 -> 8100000000000000\r
117--ddmul116 multiply 9 9000000000000000 -> 81000000000000000\r
118--ddmul117 multiply 9 90000000000000000 -> 810000000000000000\r
119--ddmul118 multiply 9 900000000000000000 -> 8100000000000000000\r
120--ddmul119 multiply 9 9000000000000000000 -> 81000000000000000000\r
121--ddmul120 multiply 9 90000000000000000000 -> 810000000000000000000\r
122--ddmul121 multiply 9 900000000000000000000 -> 8100000000000000000000\r
123--ddmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000\r
124--ddmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000\r
125-- test some more edge cases without carries\r
126ddmul131 multiply 3 3 -> 9\r
127ddmul132 multiply 3 30 -> 90\r
128ddmul133 multiply 3 300 -> 900\r
129ddmul134 multiply 3 3000 -> 9000\r
130ddmul135 multiply 3 30000 -> 90000\r
131ddmul136 multiply 3 300000 -> 900000\r
132ddmul137 multiply 3 3000000 -> 9000000\r
133ddmul138 multiply 3 30000000 -> 90000000\r
134ddmul139 multiply 3 300000000 -> 900000000\r
135ddmul140 multiply 3 3000000000 -> 9000000000\r
136ddmul141 multiply 3 30000000000 -> 90000000000\r
137ddmul142 multiply 3 300000000000 -> 900000000000\r
138ddmul143 multiply 3 3000000000000 -> 9000000000000\r
139ddmul144 multiply 3 30000000000000 -> 90000000000000\r
140ddmul145 multiply 3 300000000000000 -> 900000000000000\r
141\r
142-- test some edge cases with exact rounding\r
143ddmul301 multiply 9 9 -> 81\r
144ddmul302 multiply 9 90 -> 810\r
145ddmul303 multiply 9 900 -> 8100\r
146ddmul304 multiply 9 9000 -> 81000\r
147ddmul305 multiply 9 90000 -> 810000\r
148ddmul306 multiply 9 900000 -> 8100000\r
149ddmul307 multiply 9 9000000 -> 81000000\r
150ddmul308 multiply 9 90000000 -> 810000000\r
151ddmul309 multiply 9 900000000 -> 8100000000\r
152ddmul310 multiply 9 9000000000 -> 81000000000\r
153ddmul311 multiply 9 90000000000 -> 810000000000\r
154ddmul312 multiply 9 900000000000 -> 8100000000000\r
155ddmul313 multiply 9 9000000000000 -> 81000000000000\r
156ddmul314 multiply 9 90000000000000 -> 810000000000000\r
157ddmul315 multiply 9 900000000000000 -> 8100000000000000\r
158ddmul316 multiply 9 9000000000000000 -> 8.100000000000000E+16 Rounded\r
159ddmul317 multiply 90 9000000000000000 -> 8.100000000000000E+17 Rounded\r
160ddmul318 multiply 900 9000000000000000 -> 8.100000000000000E+18 Rounded\r
161ddmul319 multiply 9000 9000000000000000 -> 8.100000000000000E+19 Rounded\r
162ddmul320 multiply 90000 9000000000000000 -> 8.100000000000000E+20 Rounded\r
163ddmul321 multiply 900000 9000000000000000 -> 8.100000000000000E+21 Rounded\r
164ddmul322 multiply 9000000 9000000000000000 -> 8.100000000000000E+22 Rounded\r
165ddmul323 multiply 90000000 9000000000000000 -> 8.100000000000000E+23 Rounded\r
166\r
167-- tryzeros cases\r
168ddmul504 multiply 0E-260 1000E-260 -> 0E-398 Clamped\r
169ddmul505 multiply 100E+260 0E+260 -> 0E+369 Clamped\r
170-- 65K-1 case\r
171ddmul506 multiply 77.1 850 -> 65535.0\r
172\r
173-- mixed with zeros\r
174ddmul541 multiply 0 -1 -> -0\r
175ddmul542 multiply -0 -1 -> 0\r
176ddmul543 multiply 0 1 -> 0\r
177ddmul544 multiply -0 1 -> -0\r
178ddmul545 multiply -1 0 -> -0\r
179ddmul546 multiply -1 -0 -> 0\r
180ddmul547 multiply 1 0 -> 0\r
181ddmul548 multiply 1 -0 -> -0\r
182\r
183ddmul551 multiply 0.0 -1 -> -0.0\r
184ddmul552 multiply -0.0 -1 -> 0.0\r
185ddmul553 multiply 0.0 1 -> 0.0\r
186ddmul554 multiply -0.0 1 -> -0.0\r
187ddmul555 multiply -1.0 0 -> -0.0\r
188ddmul556 multiply -1.0 -0 -> 0.0\r
189ddmul557 multiply 1.0 0 -> 0.0\r
190ddmul558 multiply 1.0 -0 -> -0.0\r
191\r
192ddmul561 multiply 0 -1.0 -> -0.0\r
193ddmul562 multiply -0 -1.0 -> 0.0\r
194ddmul563 multiply 0 1.0 -> 0.0\r
195ddmul564 multiply -0 1.0 -> -0.0\r
196ddmul565 multiply -1 0.0 -> -0.0\r
197ddmul566 multiply -1 -0.0 -> 0.0\r
198ddmul567 multiply 1 0.0 -> 0.0\r
199ddmul568 multiply 1 -0.0 -> -0.0\r
200\r
201ddmul571 multiply 0.0 -1.0 -> -0.00\r
202ddmul572 multiply -0.0 -1.0 -> 0.00\r
203ddmul573 multiply 0.0 1.0 -> 0.00\r
204ddmul574 multiply -0.0 1.0 -> -0.00\r
205ddmul575 multiply -1.0 0.0 -> -0.00\r
206ddmul576 multiply -1.0 -0.0 -> 0.00\r
207ddmul577 multiply 1.0 0.0 -> 0.00\r
208ddmul578 multiply 1.0 -0.0 -> -0.00\r
209\r
210\r
211-- Specials\r
212ddmul580 multiply Inf -Inf -> -Infinity\r
213ddmul581 multiply Inf -1000 -> -Infinity\r
214ddmul582 multiply Inf -1 -> -Infinity\r
215ddmul583 multiply Inf -0 -> NaN Invalid_operation\r
216ddmul584 multiply Inf 0 -> NaN Invalid_operation\r
217ddmul585 multiply Inf 1 -> Infinity\r
218ddmul586 multiply Inf 1000 -> Infinity\r
219ddmul587 multiply Inf Inf -> Infinity\r
220ddmul588 multiply -1000 Inf -> -Infinity\r
221ddmul589 multiply -Inf Inf -> -Infinity\r
222ddmul590 multiply -1 Inf -> -Infinity\r
223ddmul591 multiply -0 Inf -> NaN Invalid_operation\r
224ddmul592 multiply 0 Inf -> NaN Invalid_operation\r
225ddmul593 multiply 1 Inf -> Infinity\r
226ddmul594 multiply 1000 Inf -> Infinity\r
227ddmul595 multiply Inf Inf -> Infinity\r
228\r
229ddmul600 multiply -Inf -Inf -> Infinity\r
230ddmul601 multiply -Inf -1000 -> Infinity\r
231ddmul602 multiply -Inf -1 -> Infinity\r
232ddmul603 multiply -Inf -0 -> NaN Invalid_operation\r
233ddmul604 multiply -Inf 0 -> NaN Invalid_operation\r
234ddmul605 multiply -Inf 1 -> -Infinity\r
235ddmul606 multiply -Inf 1000 -> -Infinity\r
236ddmul607 multiply -Inf Inf -> -Infinity\r
237ddmul608 multiply -1000 Inf -> -Infinity\r
238ddmul609 multiply -Inf -Inf -> Infinity\r
239ddmul610 multiply -1 -Inf -> Infinity\r
240ddmul611 multiply -0 -Inf -> NaN Invalid_operation\r
241ddmul612 multiply 0 -Inf -> NaN Invalid_operation\r
242ddmul613 multiply 1 -Inf -> -Infinity\r
243ddmul614 multiply 1000 -Inf -> -Infinity\r
244ddmul615 multiply Inf -Inf -> -Infinity\r
245\r
246ddmul621 multiply NaN -Inf -> NaN\r
247ddmul622 multiply NaN -1000 -> NaN\r
248ddmul623 multiply NaN -1 -> NaN\r
249ddmul624 multiply NaN -0 -> NaN\r
250ddmul625 multiply NaN 0 -> NaN\r
251ddmul626 multiply NaN 1 -> NaN\r
252ddmul627 multiply NaN 1000 -> NaN\r
253ddmul628 multiply NaN Inf -> NaN\r
254ddmul629 multiply NaN NaN -> NaN\r
255ddmul630 multiply -Inf NaN -> NaN\r
256ddmul631 multiply -1000 NaN -> NaN\r
257ddmul632 multiply -1 NaN -> NaN\r
258ddmul633 multiply -0 NaN -> NaN\r
259ddmul634 multiply 0 NaN -> NaN\r
260ddmul635 multiply 1 NaN -> NaN\r
261ddmul636 multiply 1000 NaN -> NaN\r
262ddmul637 multiply Inf NaN -> NaN\r
263\r
264ddmul641 multiply sNaN -Inf -> NaN Invalid_operation\r
265ddmul642 multiply sNaN -1000 -> NaN Invalid_operation\r
266ddmul643 multiply sNaN -1 -> NaN Invalid_operation\r
267ddmul644 multiply sNaN -0 -> NaN Invalid_operation\r
268ddmul645 multiply sNaN 0 -> NaN Invalid_operation\r
269ddmul646 multiply sNaN 1 -> NaN Invalid_operation\r
270ddmul647 multiply sNaN 1000 -> NaN Invalid_operation\r
271ddmul648 multiply sNaN NaN -> NaN Invalid_operation\r
272ddmul649 multiply sNaN sNaN -> NaN Invalid_operation\r
273ddmul650 multiply NaN sNaN -> NaN Invalid_operation\r
274ddmul651 multiply -Inf sNaN -> NaN Invalid_operation\r
275ddmul652 multiply -1000 sNaN -> NaN Invalid_operation\r
276ddmul653 multiply -1 sNaN -> NaN Invalid_operation\r
277ddmul654 multiply -0 sNaN -> NaN Invalid_operation\r
278ddmul655 multiply 0 sNaN -> NaN Invalid_operation\r
279ddmul656 multiply 1 sNaN -> NaN Invalid_operation\r
280ddmul657 multiply 1000 sNaN -> NaN Invalid_operation\r
281ddmul658 multiply Inf sNaN -> NaN Invalid_operation\r
282ddmul659 multiply NaN sNaN -> NaN Invalid_operation\r
283\r
284-- propagating NaNs\r
285ddmul661 multiply NaN9 -Inf -> NaN9\r
286ddmul662 multiply NaN8 999 -> NaN8\r
287ddmul663 multiply NaN71 Inf -> NaN71\r
288ddmul664 multiply NaN6 NaN5 -> NaN6\r
289ddmul665 multiply -Inf NaN4 -> NaN4\r
290ddmul666 multiply -999 NaN33 -> NaN33\r
291ddmul667 multiply Inf NaN2 -> NaN2\r
292\r
293ddmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation\r
294ddmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation\r
295ddmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation\r
296ddmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation\r
297ddmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation\r
298ddmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation\r
299ddmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation\r
300ddmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation\r
301ddmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation\r
302\r
303ddmul681 multiply -NaN9 -Inf -> -NaN9\r
304ddmul682 multiply -NaN8 999 -> -NaN8\r
305ddmul683 multiply -NaN71 Inf -> -NaN71\r
306ddmul684 multiply -NaN6 -NaN5 -> -NaN6\r
307ddmul685 multiply -Inf -NaN4 -> -NaN4\r
308ddmul686 multiply -999 -NaN33 -> -NaN33\r
309ddmul687 multiply Inf -NaN2 -> -NaN2\r
310\r
311ddmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation\r
312ddmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation\r
313ddmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation\r
314ddmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation\r
315ddmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation\r
316ddmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation\r
317ddmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation\r
318ddmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation\r
319ddmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation\r
320\r
321ddmul701 multiply -NaN -Inf -> -NaN\r
322ddmul702 multiply -NaN 999 -> -NaN\r
323ddmul703 multiply -NaN Inf -> -NaN\r
324ddmul704 multiply -NaN -NaN -> -NaN\r
325ddmul705 multiply -Inf -NaN0 -> -NaN\r
326ddmul706 multiply -999 -NaN -> -NaN\r
327ddmul707 multiply Inf -NaN -> -NaN\r
328\r
329ddmul711 multiply -sNaN -Inf -> -NaN Invalid_operation\r
330ddmul712 multiply -sNaN -11 -> -NaN Invalid_operation\r
331ddmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation\r
332ddmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation\r
333ddmul715 multiply -NaN -sNaN -> -NaN Invalid_operation\r
334ddmul716 multiply -Inf -sNaN -> -NaN Invalid_operation\r
335ddmul717 multiply 088 -sNaN -> -NaN Invalid_operation\r
336ddmul718 multiply Inf -sNaN -> -NaN Invalid_operation\r
337ddmul719 multiply -NaN -sNaN -> -NaN Invalid_operation\r
338\r
339-- overflow and underflow tests .. note subnormal results\r
340-- signs\r
341ddmul751 multiply 1e+277 1e+311 -> Infinity Overflow Inexact Rounded\r
342ddmul752 multiply 1e+277 -1e+311 -> -Infinity Overflow Inexact Rounded\r
343ddmul753 multiply -1e+277 1e+311 -> -Infinity Overflow Inexact Rounded\r
344ddmul754 multiply -1e+277 -1e+311 -> Infinity Overflow Inexact Rounded\r
345ddmul755 multiply 1e-277 1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
346ddmul756 multiply 1e-277 -1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped\r
347ddmul757 multiply -1e-277 1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped\r
348ddmul758 multiply -1e-277 -1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
349\r
350-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)\r
351ddmul760 multiply 1e-291 1e-101 -> 1E-392 Subnormal\r
352ddmul761 multiply 1e-291 1e-102 -> 1E-393 Subnormal\r
353ddmul762 multiply 1e-291 1e-103 -> 1E-394 Subnormal\r
354ddmul763 multiply 1e-291 1e-104 -> 1E-395 Subnormal\r
355ddmul764 multiply 1e-291 1e-105 -> 1E-396 Subnormal\r
356ddmul765 multiply 1e-291 1e-106 -> 1E-397 Subnormal\r
357ddmul766 multiply 1e-291 1e-107 -> 1E-398 Subnormal\r
358ddmul767 multiply 1e-291 1e-108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
359ddmul768 multiply 1e-291 1e-109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
360ddmul769 multiply 1e-291 1e-110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
361-- [no equivalent of 'subnormal' for overflow]\r
362ddmul770 multiply 1e+60 1e+321 -> 1.000000000000E+381 Clamped\r
363ddmul771 multiply 1e+60 1e+322 -> 1.0000000000000E+382 Clamped\r
364ddmul772 multiply 1e+60 1e+323 -> 1.00000000000000E+383 Clamped\r
365ddmul773 multiply 1e+60 1e+324 -> 1.000000000000000E+384 Clamped\r
366ddmul774 multiply 1e+60 1e+325 -> Infinity Overflow Inexact Rounded\r
367ddmul775 multiply 1e+60 1e+326 -> Infinity Overflow Inexact Rounded\r
368ddmul776 multiply 1e+60 1e+327 -> Infinity Overflow Inexact Rounded\r
369ddmul777 multiply 1e+60 1e+328 -> Infinity Overflow Inexact Rounded\r
370ddmul778 multiply 1e+60 1e+329 -> Infinity Overflow Inexact Rounded\r
371ddmul779 multiply 1e+60 1e+330 -> Infinity Overflow Inexact Rounded\r
372\r
373ddmul801 multiply 1.0000E-394 1 -> 1.0000E-394 Subnormal\r
374ddmul802 multiply 1.000E-394 1e-1 -> 1.000E-395 Subnormal\r
375ddmul803 multiply 1.00E-394 1e-2 -> 1.00E-396 Subnormal\r
376ddmul804 multiply 1.0E-394 1e-3 -> 1.0E-397 Subnormal\r
377ddmul805 multiply 1.0E-394 1e-4 -> 1E-398 Subnormal Rounded\r
378ddmul806 multiply 1.3E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded\r
379ddmul807 multiply 1.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
380ddmul808 multiply 1.7E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
381ddmul809 multiply 2.3E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
382ddmul810 multiply 2.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
383ddmul811 multiply 2.7E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded\r
384ddmul812 multiply 1.49E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded\r
385ddmul813 multiply 1.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
386ddmul814 multiply 1.51E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
387ddmul815 multiply 2.49E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
388ddmul816 multiply 2.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded\r
389ddmul817 multiply 2.51E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded\r
390\r
391ddmul818 multiply 1E-394 1e-4 -> 1E-398 Subnormal\r
392ddmul819 multiply 3E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
393ddmul820 multiply 5E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
394ddmul821 multiply 7E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded\r
395ddmul822 multiply 9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded\r
396ddmul823 multiply 9.9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded\r
397\r
398ddmul824 multiply 1E-394 -1e-4 -> -1E-398 Subnormal\r
399ddmul825 multiply 3E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped\r
400ddmul826 multiply -5E-394 1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped\r
401ddmul827 multiply 7E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded\r
402ddmul828 multiply -9E-394 1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded\r
403ddmul829 multiply 9.9E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded\r
404ddmul830 multiply 3.0E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped\r
405\r
406ddmul831 multiply 1.0E-199 1e-200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped\r
407ddmul832 multiply 1.0E-199 1e-199 -> 1E-398 Subnormal Rounded\r
408ddmul833 multiply 1.0E-199 1e-198 -> 1.0E-397 Subnormal\r
409ddmul834 multiply 2.0E-199 2e-198 -> 4.0E-397 Subnormal\r
410ddmul835 multiply 4.0E-199 4e-198 -> 1.60E-396 Subnormal\r
411ddmul836 multiply 10.0E-199 10e-198 -> 1.000E-395 Subnormal\r
412ddmul837 multiply 30.0E-199 30e-198 -> 9.000E-395 Subnormal\r
413ddmul838 multiply 40.0E-199 40e-188 -> 1.6000E-384 Subnormal\r
414ddmul839 multiply 40.0E-199 40e-187 -> 1.6000E-383\r
415ddmul840 multiply 40.0E-199 40e-186 -> 1.6000E-382\r
416\r
417-- Long operand overflow may be a different path\r
418ddmul870 multiply 100 9.999E+383 -> Infinity Inexact Overflow Rounded\r
419ddmul871 multiply 100 -9.999E+383 -> -Infinity Inexact Overflow Rounded\r
420ddmul872 multiply 9.999E+383 100 -> Infinity Inexact Overflow Rounded\r
421ddmul873 multiply -9.999E+383 100 -> -Infinity Inexact Overflow Rounded\r
422\r
423-- check for double-rounded subnormals\r
424ddmul881 multiply 1.2347E-355 1.2347E-40 -> 1.524E-395 Inexact Rounded Subnormal Underflow\r
425ddmul882 multiply 1.234E-355 1.234E-40 -> 1.523E-395 Inexact Rounded Subnormal Underflow\r
426ddmul883 multiply 1.23E-355 1.23E-40 -> 1.513E-395 Inexact Rounded Subnormal Underflow\r
427ddmul884 multiply 1.2E-355 1.2E-40 -> 1.44E-395 Subnormal\r
428ddmul885 multiply 1.2E-355 1.2E-41 -> 1.44E-396 Subnormal\r
429ddmul886 multiply 1.2E-355 1.2E-42 -> 1.4E-397 Subnormal Inexact Rounded Underflow\r
430ddmul887 multiply 1.2E-355 1.3E-42 -> 1.6E-397 Subnormal Inexact Rounded Underflow\r
431ddmul888 multiply 1.3E-355 1.3E-42 -> 1.7E-397 Subnormal Inexact Rounded Underflow\r
432ddmul889 multiply 1.3E-355 1.3E-43 -> 2E-398 Subnormal Inexact Rounded Underflow\r
433ddmul890 multiply 1.3E-356 1.3E-43 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow\r
434\r
435ddmul891 multiply 1.2345E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow\r
436ddmul892 multiply 1.23456E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow\r
437ddmul893 multiply 1.2345E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow\r
438ddmul894 multiply 1.23456E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow\r
439ddmul895 multiply 1.2345E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow\r
440ddmul896 multiply 1.23456E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow\r
441\r
442-- Now explore the case where we get a normal result with Underflow\r
443-- 1 234567890123456\r
444ddmul900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded\r
445ddmul901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded\r
446ddmul902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded\r
447ddmul903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded\r
448ddmul904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded\r
449ddmul905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded\r
450-- The next rounds to Nmin (b**emin); this is the distinguishing case\r
451-- for detecting tininess (before or after rounding) -- if after\r
452-- rounding then the result would be the same, but the Underflow flag\r
453-- would not be set\r
454ddmul906 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded\r
455-- prove those operands were exact\r
456ddmul907 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383\r
457ddmul908 multiply 1 0.09999999999999999 -> 0.09999999999999999\r
458\r
459-- reducing tiniest\r
460ddmul910 multiply 1e-398 0.99 -> 1E-398 Subnormal Inexact Rounded Underflow\r
461ddmul911 multiply 1e-398 0.75 -> 1E-398 Subnormal Inexact Rounded Underflow\r
462ddmul912 multiply 1e-398 0.5 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped\r
463ddmul913 multiply 1e-398 0.25 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped\r
464ddmul914 multiply 1e-398 0.01 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped\r
465\r
466-- hugest\r
467ddmul920 multiply 9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded\r
468\r
469-- power-of-ten edge cases\r
470ddmul1001 multiply 1 10 -> 10\r
471ddmul1002 multiply 1 100 -> 100\r
472ddmul1003 multiply 1 1000 -> 1000\r
473ddmul1004 multiply 1 10000 -> 10000\r
474ddmul1005 multiply 1 100000 -> 100000\r
475ddmul1006 multiply 1 1000000 -> 1000000\r
476ddmul1007 multiply 1 10000000 -> 10000000\r
477ddmul1008 multiply 1 100000000 -> 100000000\r
478ddmul1009 multiply 1 1000000000 -> 1000000000\r
479ddmul1010 multiply 1 10000000000 -> 10000000000\r
480ddmul1011 multiply 1 100000000000 -> 100000000000\r
481ddmul1012 multiply 1 1000000000000 -> 1000000000000\r
482ddmul1013 multiply 1 10000000000000 -> 10000000000000\r
483ddmul1014 multiply 1 100000000000000 -> 100000000000000\r
484ddmul1015 multiply 1 1000000000000000 -> 1000000000000000\r
485ddmul1021 multiply 10 1 -> 10\r
486ddmul1022 multiply 10 10 -> 100\r
487ddmul1023 multiply 10 100 -> 1000\r
488ddmul1024 multiply 10 1000 -> 10000\r
489ddmul1025 multiply 10 10000 -> 100000\r
490ddmul1026 multiply 10 100000 -> 1000000\r
491ddmul1027 multiply 10 1000000 -> 10000000\r
492ddmul1028 multiply 10 10000000 -> 100000000\r
493ddmul1029 multiply 10 100000000 -> 1000000000\r
494ddmul1030 multiply 10 1000000000 -> 10000000000\r
495ddmul1031 multiply 10 10000000000 -> 100000000000\r
496ddmul1032 multiply 10 100000000000 -> 1000000000000\r
497ddmul1033 multiply 10 1000000000000 -> 10000000000000\r
498ddmul1034 multiply 10 10000000000000 -> 100000000000000\r
499ddmul1035 multiply 10 100000000000000 -> 1000000000000000\r
500ddmul1041 multiply 100 0.1 -> 10.0\r
501ddmul1042 multiply 100 1 -> 100\r
502ddmul1043 multiply 100 10 -> 1000\r
503ddmul1044 multiply 100 100 -> 10000\r
504ddmul1045 multiply 100 1000 -> 100000\r
505ddmul1046 multiply 100 10000 -> 1000000\r
506ddmul1047 multiply 100 100000 -> 10000000\r
507ddmul1048 multiply 100 1000000 -> 100000000\r
508ddmul1049 multiply 100 10000000 -> 1000000000\r
509ddmul1050 multiply 100 100000000 -> 10000000000\r
510ddmul1051 multiply 100 1000000000 -> 100000000000\r
511ddmul1052 multiply 100 10000000000 -> 1000000000000\r
512ddmul1053 multiply 100 100000000000 -> 10000000000000\r
513ddmul1054 multiply 100 1000000000000 -> 100000000000000\r
514ddmul1055 multiply 100 10000000000000 -> 1000000000000000\r
515ddmul1061 multiply 1000 0.01 -> 10.00\r
516ddmul1062 multiply 1000 0.1 -> 100.0\r
517ddmul1063 multiply 1000 1 -> 1000\r
518ddmul1064 multiply 1000 10 -> 10000\r
519ddmul1065 multiply 1000 100 -> 100000\r
520ddmul1066 multiply 1000 1000 -> 1000000\r
521ddmul1067 multiply 1000 10000 -> 10000000\r
522ddmul1068 multiply 1000 100000 -> 100000000\r
523ddmul1069 multiply 1000 1000000 -> 1000000000\r
524ddmul1070 multiply 1000 10000000 -> 10000000000\r
525ddmul1071 multiply 1000 100000000 -> 100000000000\r
526ddmul1072 multiply 1000 1000000000 -> 1000000000000\r
527ddmul1073 multiply 1000 10000000000 -> 10000000000000\r
528ddmul1074 multiply 1000 100000000000 -> 100000000000000\r
529ddmul1075 multiply 1000 1000000000000 -> 1000000000000000\r
530ddmul1081 multiply 10000 0.001 -> 10.000\r
531ddmul1082 multiply 10000 0.01 -> 100.00\r
532ddmul1083 multiply 10000 0.1 -> 1000.0\r
533ddmul1084 multiply 10000 1 -> 10000\r
534ddmul1085 multiply 10000 10 -> 100000\r
535ddmul1086 multiply 10000 100 -> 1000000\r
536ddmul1087 multiply 10000 1000 -> 10000000\r
537ddmul1088 multiply 10000 10000 -> 100000000\r
538ddmul1089 multiply 10000 100000 -> 1000000000\r
539ddmul1090 multiply 10000 1000000 -> 10000000000\r
540ddmul1091 multiply 10000 10000000 -> 100000000000\r
541ddmul1092 multiply 10000 100000000 -> 1000000000000\r
542ddmul1093 multiply 10000 1000000000 -> 10000000000000\r
543ddmul1094 multiply 10000 10000000000 -> 100000000000000\r
544ddmul1095 multiply 10000 100000000000 -> 1000000000000000\r
545\r
546ddmul1097 multiply 10000 99999999999 -> 999999999990000\r
547ddmul1098 multiply 10000 99999999999 -> 999999999990000\r
548\r
549\r
550-- Null tests\r
551ddmul9990 multiply 10 # -> NaN Invalid_operation\r
552ddmul9991 multiply # 10 -> NaN Invalid_operation\r
553\r