Gitiles
Code Review Sign In
gerrit-public.fairphone.software / platform / external / python / cpython3 / 01d7eba3162af8a0f62d7636cbb44440901b3909 / . / Lib / test / decimaltestdata / multiply.decTest
blob: 6a23d5a6e0a133200689b8db29d5ea354a06d9df [file] [log] [blame]
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]1------------------------------------------------------------------------
2-- multiply.decTest -- decimal multiplication --
Benjamin Petersonf17ff4e2008-07-31 16:32:12 +0000[diff] [blame]3-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]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------------------------------------------------------------------------
Mark Dickinson8a546532009-10-08 16:30:38 +0000[diff] [blame]20version: 2.59
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]21
22extended: 1
23precision: 9
24rounding: half_up
25maxExponent: 384
26minexponent: -383
27
28-- sanity checks (as base, above)
29mulx000 multiply 2 2 -> 4
30mulx001 multiply 2 3 -> 6
31mulx002 multiply 5 1 -> 5
32mulx003 multiply 5 2 -> 10
33mulx004 multiply 1.20 2 -> 2.40
34mulx005 multiply 1.20 0 -> 0.00
35mulx006 multiply 1.20 -2 -> -2.40
36mulx007 multiply -1.20 2 -> -2.40
37mulx008 multiply -1.20 0 -> -0.00
38mulx009 multiply -1.20 -2 -> 2.40
39mulx010 multiply 5.09 7.1 -> 36.139
40mulx011 multiply 2.5 4 -> 10.0
41mulx012 multiply 2.50 4 -> 10.00
42mulx013 multiply 1.23456789 1.00000000 -> 1.23456789 Rounded
43mulx014 multiply 9.999999999 9.999999999 -> 100.000000 Inexact Rounded
44mulx015 multiply 2.50 4 -> 10.00
45precision: 6
46mulx016 multiply 2.50 4 -> 10.00
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]47mulx017 multiply 9.999999999 9.999999999 -> 100.000 Inexact Rounded
48mulx018 multiply 9.999999999 -9.999999999 -> -100.000 Inexact Rounded
49mulx019 multiply -9.999999999 9.999999999 -> -100.000 Inexact Rounded
50mulx020 multiply -9.999999999 -9.999999999 -> 100.000 Inexact Rounded
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]51
52-- 1999.12.21: next one is a edge case if intermediate longs are used
53precision: 15
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]54mulx059 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]55precision: 30
56mulx160 multiply 999999999999 9765625 -> 9765624999990234375
57precision: 9
58-----
59
60-- zeros, etc.
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]61mulx021 multiply 0 0 -> 0
62mulx022 multiply 0 -0 -> -0
63mulx023 multiply -0 0 -> -0
64mulx024 multiply -0 -0 -> 0
65mulx025 multiply -0.0 -0.0 -> 0.00
66mulx026 multiply -0.0 -0.0 -> 0.00
67mulx027 multiply -0.0 -0.0 -> 0.00
68mulx028 multiply -0.0 -0.0 -> 0.00
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]69mulx030 multiply 5.00 1E-3 -> 0.00500
70mulx031 multiply 00.00 0.000 -> 0.00000
71mulx032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
72mulx033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
73mulx034 multiply -5.00 1E-3 -> -0.00500
74mulx035 multiply -00.00 0.000 -> -0.00000
75mulx036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
76mulx037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
77mulx038 multiply 5.00 -1E-3 -> -0.00500
78mulx039 multiply 00.00 -0.000 -> -0.00000
79mulx040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
80mulx041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
81mulx042 multiply -5.00 -1E-3 -> 0.00500
82mulx043 multiply -00.00 -0.000 -> 0.00000
83mulx044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
84mulx045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
85
86-- examples from decarith
87mulx050 multiply 1.20 3 -> 3.60
88mulx051 multiply 7 3 -> 21
89mulx052 multiply 0.9 0.8 -> 0.72
90mulx053 multiply 0.9 -0 -> -0.0
91mulx054 multiply 654321 654321 -> 4.28135971E+11 Inexact Rounded
92
93mulx060 multiply 123.45 1e7 -> 1.2345E+9
94mulx061 multiply 123.45 1e8 -> 1.2345E+10
95mulx062 multiply 123.45 1e+9 -> 1.2345E+11
96mulx063 multiply 123.45 1e10 -> 1.2345E+12
97mulx064 multiply 123.45 1e11 -> 1.2345E+13
98mulx065 multiply 123.45 1e12 -> 1.2345E+14
99mulx066 multiply 123.45 1e13 -> 1.2345E+15
100
101
102-- test some intermediate lengths
103precision: 9
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]104mulx080 multiply 0.1 123456789 -> 12345678.9
105mulx081 multiply 0.1 1234567891 -> 123456789 Inexact Rounded
106mulx082 multiply 0.1 12345678912 -> 1.23456789E+9 Inexact Rounded
107mulx083 multiply 0.1 12345678912345 -> 1.23456789E+12 Inexact Rounded
108mulx084 multiply 0.1 123456789 -> 12345678.9
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]109precision: 8
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]110mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded
111mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]112precision: 7
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]113mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded
114mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]115
116precision: 9
117mulx090 multiply 123456789 0.1 -> 12345678.9
118mulx091 multiply 1234567891 0.1 -> 123456789 Inexact Rounded
119mulx092 multiply 12345678912 0.1 -> 1.23456789E+9 Inexact Rounded
120mulx093 multiply 12345678912345 0.1 -> 1.23456789E+12 Inexact Rounded
121mulx094 multiply 123456789 0.1 -> 12345678.9
122precision: 8
123mulx095 multiply 12345678912 0.1 -> 1.2345679E+9 Inexact Rounded
124mulx096 multiply 12345678912345 0.1 -> 1.2345679E+12 Inexact Rounded
125precision: 7
126mulx097 multiply 12345678912 0.1 -> 1.234568E+9 Inexact Rounded
127mulx098 multiply 12345678912345 0.1 -> 1.234568E+12 Inexact Rounded
128
129-- test some more edge cases and carries
130maxexponent: 9999
131minexponent: -9999
132precision: 33
133mulx101 multiply 9 9 -> 81
134mulx102 multiply 9 90 -> 810
135mulx103 multiply 9 900 -> 8100
136mulx104 multiply 9 9000 -> 81000
137mulx105 multiply 9 90000 -> 810000
138mulx106 multiply 9 900000 -> 8100000
139mulx107 multiply 9 9000000 -> 81000000
140mulx108 multiply 9 90000000 -> 810000000
141mulx109 multiply 9 900000000 -> 8100000000
142mulx110 multiply 9 9000000000 -> 81000000000
143mulx111 multiply 9 90000000000 -> 810000000000
144mulx112 multiply 9 900000000000 -> 8100000000000
145mulx113 multiply 9 9000000000000 -> 81000000000000
146mulx114 multiply 9 90000000000000 -> 810000000000000
147mulx115 multiply 9 900000000000000 -> 8100000000000000
148mulx116 multiply 9 9000000000000000 -> 81000000000000000
149mulx117 multiply 9 90000000000000000 -> 810000000000000000
150mulx118 multiply 9 900000000000000000 -> 8100000000000000000
151mulx119 multiply 9 9000000000000000000 -> 81000000000000000000
152mulx120 multiply 9 90000000000000000000 -> 810000000000000000000
153mulx121 multiply 9 900000000000000000000 -> 8100000000000000000000
154mulx122 multiply 9 9000000000000000000000 -> 81000000000000000000000
155mulx123 multiply 9 90000000000000000000000 -> 810000000000000000000000
156-- test some more edge cases without carries
157mulx131 multiply 3 3 -> 9
158mulx132 multiply 3 30 -> 90
159mulx133 multiply 3 300 -> 900
160mulx134 multiply 3 3000 -> 9000
161mulx135 multiply 3 30000 -> 90000
162mulx136 multiply 3 300000 -> 900000
163mulx137 multiply 3 3000000 -> 9000000
164mulx138 multiply 3 30000000 -> 90000000
165mulx139 multiply 3 300000000 -> 900000000
166mulx140 multiply 3 3000000000 -> 9000000000
167mulx141 multiply 3 30000000000 -> 90000000000
168mulx142 multiply 3 300000000000 -> 900000000000
169mulx143 multiply 3 3000000000000 -> 9000000000000
170mulx144 multiply 3 30000000000000 -> 90000000000000
171mulx145 multiply 3 300000000000000 -> 900000000000000
172mulx146 multiply 3 3000000000000000 -> 9000000000000000
173mulx147 multiply 3 30000000000000000 -> 90000000000000000
174mulx148 multiply 3 300000000000000000 -> 900000000000000000
175mulx149 multiply 3 3000000000000000000 -> 9000000000000000000
176mulx150 multiply 3 30000000000000000000 -> 90000000000000000000
177mulx151 multiply 3 300000000000000000000 -> 900000000000000000000
178mulx152 multiply 3 3000000000000000000000 -> 9000000000000000000000
179mulx153 multiply 3 30000000000000000000000 -> 90000000000000000000000
180
181maxexponent: 999999999
182minexponent: -999999999
183precision: 9
184-- test some cases that are close to exponent overflow/underflow
185mulx170 multiply 1 9e999999999 -> 9E+999999999
186mulx171 multiply 1 9.9e999999999 -> 9.9E+999999999
187mulx172 multiply 1 9.99e999999999 -> 9.99E+999999999
188mulx173 multiply 9e999999999 1 -> 9E+999999999
189mulx174 multiply 9.9e999999999 1 -> 9.9E+999999999
190mulx176 multiply 9.99e999999999 1 -> 9.99E+999999999
191mulx177 multiply 1 9.99999999e999999999 -> 9.99999999E+999999999
192mulx178 multiply 9.99999999e999999999 1 -> 9.99999999E+999999999
193
194mulx180 multiply 0.1 9e-999999998 -> 9E-999999999
195mulx181 multiply 0.1 99e-999999998 -> 9.9E-999999998
196mulx182 multiply 0.1 999e-999999998 -> 9.99E-999999997
197
198mulx183 multiply 0.1 9e-999999998 -> 9E-999999999
199mulx184 multiply 0.1 99e-999999998 -> 9.9E-999999998
200mulx185 multiply 0.1 999e-999999998 -> 9.99E-999999997
201mulx186 multiply 0.1 999e-999999997 -> 9.99E-999999996
202mulx187 multiply 0.1 9999e-999999997 -> 9.999E-999999995
203mulx188 multiply 0.1 99999e-999999997 -> 9.9999E-999999994
204
205mulx190 multiply 1 9e-999999998 -> 9E-999999998
206mulx191 multiply 1 99e-999999998 -> 9.9E-999999997
207mulx192 multiply 1 999e-999999998 -> 9.99E-999999996
208mulx193 multiply 9e-999999998 1 -> 9E-999999998
209mulx194 multiply 99e-999999998 1 -> 9.9E-999999997
210mulx195 multiply 999e-999999998 1 -> 9.99E-999999996
211
212mulx196 multiply 1e-599999999 1e-400000000 -> 1E-999999999
213mulx197 multiply 1e-600000000 1e-399999999 -> 1E-999999999
214mulx198 multiply 1.2e-599999999 1.2e-400000000 -> 1.44E-999999999
215mulx199 multiply 1.2e-600000000 1.2e-399999999 -> 1.44E-999999999
216
217mulx201 multiply 1e599999999 1e400000000 -> 1E+999999999
218mulx202 multiply 1e600000000 1e399999999 -> 1E+999999999
219mulx203 multiply 1.2e599999999 1.2e400000000 -> 1.44E+999999999
220mulx204 multiply 1.2e600000000 1.2e399999999 -> 1.44E+999999999
221
222-- long operand triangle
223precision: 33
224mulx246 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511992830 Inexact Rounded
225precision: 32
226mulx247 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199283 Inexact Rounded
227precision: 31
228mulx248 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165119928 Inexact Rounded
229precision: 30
230mulx249 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916511993 Inexact Rounded
231precision: 29
232mulx250 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651199 Inexact Rounded
233precision: 28
234mulx251 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165120 Inexact Rounded
235precision: 27
236mulx252 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671916512 Inexact Rounded
237precision: 26
238mulx253 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967191651 Inexact Rounded
239precision: 25
240mulx254 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719165 Inexact Rounded
241precision: 24
242mulx255 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369671917 Inexact Rounded
243precision: 23
244mulx256 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967192 Inexact Rounded
245precision: 22
246mulx257 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933696719 Inexact Rounded
247precision: 21
248mulx258 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193369672 Inexact Rounded
249precision: 20
250mulx259 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119336967 Inexact Rounded
251precision: 19
252mulx260 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011933697 Inexact Rounded
253precision: 18
254mulx261 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193370 Inexact Rounded
255precision: 17
256mulx262 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119337 Inexact Rounded
257precision: 16
258mulx263 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908011934 Inexact Rounded
259precision: 15
260mulx264 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801193 Inexact Rounded
261precision: 14
262mulx265 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080119 Inexact Rounded
263precision: 13
264mulx266 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908012 Inexact Rounded
265precision: 12
266mulx267 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.290801 Inexact Rounded
267precision: 11
268mulx268 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29080 Inexact Rounded
269precision: 10
270mulx269 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.2908 Inexact Rounded
271precision: 9
272mulx270 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.291 Inexact Rounded
273precision: 8
274mulx271 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.29 Inexact Rounded
275precision: 7
276mulx272 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433.3 Inexact Rounded
277precision: 6
278mulx273 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 145433 Inexact Rounded
279precision: 5
280mulx274 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.4543E+5 Inexact Rounded
281precision: 4
282mulx275 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.454E+5 Inexact Rounded
283precision: 3
284mulx276 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.45E+5 Inexact Rounded
285precision: 2
286mulx277 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1.5E+5 Inexact Rounded
287precision: 1
288mulx278 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1E+5 Inexact Rounded
289
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]290-- test some edge cases with exact rounding
291maxexponent: 9999
292minexponent: -9999
293precision: 9
294mulx301 multiply 9 9 -> 81
295mulx302 multiply 9 90 -> 810
296mulx303 multiply 9 900 -> 8100
297mulx304 multiply 9 9000 -> 81000
298mulx305 multiply 9 90000 -> 810000
299mulx306 multiply 9 900000 -> 8100000
300mulx307 multiply 9 9000000 -> 81000000
301mulx308 multiply 9 90000000 -> 810000000
302mulx309 multiply 9 900000000 -> 8.10000000E+9 Rounded
303mulx310 multiply 9 9000000000 -> 8.10000000E+10 Rounded
304mulx311 multiply 9 90000000000 -> 8.10000000E+11 Rounded
305mulx312 multiply 9 900000000000 -> 8.10000000E+12 Rounded
306mulx313 multiply 9 9000000000000 -> 8.10000000E+13 Rounded
307mulx314 multiply 9 90000000000000 -> 8.10000000E+14 Rounded
308mulx315 multiply 9 900000000000000 -> 8.10000000E+15 Rounded
309mulx316 multiply 9 9000000000000000 -> 8.10000000E+16 Rounded
310mulx317 multiply 9 90000000000000000 -> 8.10000000E+17 Rounded
311mulx318 multiply 9 900000000000000000 -> 8.10000000E+18 Rounded
312mulx319 multiply 9 9000000000000000000 -> 8.10000000E+19 Rounded
313mulx320 multiply 9 90000000000000000000 -> 8.10000000E+20 Rounded
314mulx321 multiply 9 900000000000000000000 -> 8.10000000E+21 Rounded
315mulx322 multiply 9 9000000000000000000000 -> 8.10000000E+22 Rounded
316mulx323 multiply 9 90000000000000000000000 -> 8.10000000E+23 Rounded
317
318-- fastpath breakers
319precision: 29
320mulx330 multiply 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 -> 1.6487212707001281468486507878 Inexact Rounded
321precision: 55
322mulx331 multiply 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded
323
324
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]325-- tryzeros cases
326precision: 7
327rounding: half_up
328maxExponent: 92
329minexponent: -92
330mulx504 multiply 0E-60 1000E-60 -> 0E-98 Clamped
331mulx505 multiply 100E+60 0E+60 -> 0E+92 Clamped
332
333-- mixed with zeros
334maxexponent: 999999999
335minexponent: -999999999
336precision: 9
337mulx541 multiply 0 -1 -> -0
338mulx542 multiply -0 -1 -> 0
339mulx543 multiply 0 1 -> 0
340mulx544 multiply -0 1 -> -0
341mulx545 multiply -1 0 -> -0
342mulx546 multiply -1 -0 -> 0
343mulx547 multiply 1 0 -> 0
344mulx548 multiply 1 -0 -> -0
345
346mulx551 multiply 0.0 -1 -> -0.0
347mulx552 multiply -0.0 -1 -> 0.0
348mulx553 multiply 0.0 1 -> 0.0
349mulx554 multiply -0.0 1 -> -0.0
350mulx555 multiply -1.0 0 -> -0.0
351mulx556 multiply -1.0 -0 -> 0.0
352mulx557 multiply 1.0 0 -> 0.0
353mulx558 multiply 1.0 -0 -> -0.0
354
355mulx561 multiply 0 -1.0 -> -0.0
356mulx562 multiply -0 -1.0 -> 0.0
357mulx563 multiply 0 1.0 -> 0.0
358mulx564 multiply -0 1.0 -> -0.0
359mulx565 multiply -1 0.0 -> -0.0
360mulx566 multiply -1 -0.0 -> 0.0
361mulx567 multiply 1 0.0 -> 0.0
362mulx568 multiply 1 -0.0 -> -0.0
363
364mulx571 multiply 0.0 -1.0 -> -0.00
365mulx572 multiply -0.0 -1.0 -> 0.00
366mulx573 multiply 0.0 1.0 -> 0.00
367mulx574 multiply -0.0 1.0 -> -0.00
368mulx575 multiply -1.0 0.0 -> -0.00
369mulx576 multiply -1.0 -0.0 -> 0.00
370mulx577 multiply 1.0 0.0 -> 0.00
371mulx578 multiply 1.0 -0.0 -> -0.00
372
373
374-- Specials
375mulx580 multiply Inf -Inf -> -Infinity
376mulx581 multiply Inf -1000 -> -Infinity
377mulx582 multiply Inf -1 -> -Infinity
378mulx583 multiply Inf -0 -> NaN Invalid_operation
379mulx584 multiply Inf 0 -> NaN Invalid_operation
380mulx585 multiply Inf 1 -> Infinity
381mulx586 multiply Inf 1000 -> Infinity
382mulx587 multiply Inf Inf -> Infinity
383mulx588 multiply -1000 Inf -> -Infinity
384mulx589 multiply -Inf Inf -> -Infinity
385mulx590 multiply -1 Inf -> -Infinity
386mulx591 multiply -0 Inf -> NaN Invalid_operation
387mulx592 multiply 0 Inf -> NaN Invalid_operation
388mulx593 multiply 1 Inf -> Infinity
389mulx594 multiply 1000 Inf -> Infinity
390mulx595 multiply Inf Inf -> Infinity
391
392mulx600 multiply -Inf -Inf -> Infinity
393mulx601 multiply -Inf -1000 -> Infinity
394mulx602 multiply -Inf -1 -> Infinity
395mulx603 multiply -Inf -0 -> NaN Invalid_operation
396mulx604 multiply -Inf 0 -> NaN Invalid_operation
397mulx605 multiply -Inf 1 -> -Infinity
398mulx606 multiply -Inf 1000 -> -Infinity
399mulx607 multiply -Inf Inf -> -Infinity
400mulx608 multiply -1000 Inf -> -Infinity
401mulx609 multiply -Inf -Inf -> Infinity
402mulx610 multiply -1 -Inf -> Infinity
403mulx611 multiply -0 -Inf -> NaN Invalid_operation
404mulx612 multiply 0 -Inf -> NaN Invalid_operation
405mulx613 multiply 1 -Inf -> -Infinity
406mulx614 multiply 1000 -Inf -> -Infinity
407mulx615 multiply Inf -Inf -> -Infinity
408
409mulx621 multiply NaN -Inf -> NaN
410mulx622 multiply NaN -1000 -> NaN
411mulx623 multiply NaN -1 -> NaN
412mulx624 multiply NaN -0 -> NaN
413mulx625 multiply NaN 0 -> NaN
414mulx626 multiply NaN 1 -> NaN
415mulx627 multiply NaN 1000 -> NaN
416mulx628 multiply NaN Inf -> NaN
417mulx629 multiply NaN NaN -> NaN
418mulx630 multiply -Inf NaN -> NaN
419mulx631 multiply -1000 NaN -> NaN
420mulx632 multiply -1 NaN -> NaN
421mulx633 multiply -0 NaN -> NaN
422mulx634 multiply 0 NaN -> NaN
423mulx635 multiply 1 NaN -> NaN
424mulx636 multiply 1000 NaN -> NaN
425mulx637 multiply Inf NaN -> NaN
426
427mulx641 multiply sNaN -Inf -> NaN Invalid_operation
428mulx642 multiply sNaN -1000 -> NaN Invalid_operation
429mulx643 multiply sNaN -1 -> NaN Invalid_operation
430mulx644 multiply sNaN -0 -> NaN Invalid_operation
431mulx645 multiply sNaN 0 -> NaN Invalid_operation
432mulx646 multiply sNaN 1 -> NaN Invalid_operation
433mulx647 multiply sNaN 1000 -> NaN Invalid_operation
434mulx648 multiply sNaN NaN -> NaN Invalid_operation
435mulx649 multiply sNaN sNaN -> NaN Invalid_operation
436mulx650 multiply NaN sNaN -> NaN Invalid_operation
437mulx651 multiply -Inf sNaN -> NaN Invalid_operation
438mulx652 multiply -1000 sNaN -> NaN Invalid_operation
439mulx653 multiply -1 sNaN -> NaN Invalid_operation
440mulx654 multiply -0 sNaN -> NaN Invalid_operation
441mulx655 multiply 0 sNaN -> NaN Invalid_operation
442mulx656 multiply 1 sNaN -> NaN Invalid_operation
443mulx657 multiply 1000 sNaN -> NaN Invalid_operation
444mulx658 multiply Inf sNaN -> NaN Invalid_operation
445mulx659 multiply NaN sNaN -> NaN Invalid_operation
446
447-- propagating NaNs
448mulx661 multiply NaN9 -Inf -> NaN9
449mulx662 multiply NaN8 999 -> NaN8
450mulx663 multiply NaN71 Inf -> NaN71
451mulx664 multiply NaN6 NaN5 -> NaN6
452mulx665 multiply -Inf NaN4 -> NaN4
453mulx666 multiply -999 NaN33 -> NaN33
454mulx667 multiply Inf NaN2 -> NaN2
455
456mulx671 multiply sNaN99 -Inf -> NaN99 Invalid_operation
457mulx672 multiply sNaN98 -11 -> NaN98 Invalid_operation
458mulx673 multiply sNaN97 NaN -> NaN97 Invalid_operation
459mulx674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation
460mulx675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation
461mulx676 multiply -Inf sNaN92 -> NaN92 Invalid_operation
462mulx677 multiply 088 sNaN91 -> NaN91 Invalid_operation
463mulx678 multiply Inf sNaN90 -> NaN90 Invalid_operation
464mulx679 multiply NaN sNaN89 -> NaN89 Invalid_operation
465
466mulx681 multiply -NaN9 -Inf -> -NaN9
467mulx682 multiply -NaN8 999 -> -NaN8
468mulx683 multiply -NaN71 Inf -> -NaN71
469mulx684 multiply -NaN6 -NaN5 -> -NaN6
470mulx685 multiply -Inf -NaN4 -> -NaN4
471mulx686 multiply -999 -NaN33 -> -NaN33
472mulx687 multiply Inf -NaN2 -> -NaN2
473
474mulx691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation
475mulx692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation
476mulx693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation
477mulx694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
478mulx695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation
479mulx696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation
480mulx697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation
481mulx698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation
482mulx699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation
483
484mulx701 multiply -NaN -Inf -> -NaN
485mulx702 multiply -NaN 999 -> -NaN
486mulx703 multiply -NaN Inf -> -NaN
487mulx704 multiply -NaN -NaN -> -NaN
488mulx705 multiply -Inf -NaN0 -> -NaN
489mulx706 multiply -999 -NaN -> -NaN
490mulx707 multiply Inf -NaN -> -NaN
491
492mulx711 multiply -sNaN -Inf -> -NaN Invalid_operation
493mulx712 multiply -sNaN -11 -> -NaN Invalid_operation
494mulx713 multiply -sNaN00 NaN -> -NaN Invalid_operation
495mulx714 multiply -sNaN -sNaN -> -NaN Invalid_operation
496mulx715 multiply -NaN -sNaN -> -NaN Invalid_operation
497mulx716 multiply -Inf -sNaN -> -NaN Invalid_operation
498mulx717 multiply 088 -sNaN -> -NaN Invalid_operation
499mulx718 multiply Inf -sNaN -> -NaN Invalid_operation
500mulx719 multiply -NaN -sNaN -> -NaN Invalid_operation
501
502-- overflow and underflow tests .. note subnormal results
503maxexponent: 999999999
504minexponent: -999999999
505mulx730 multiply +1.23456789012345E-0 9E+999999999 -> Infinity Inexact Overflow Rounded
506mulx731 multiply 9E+999999999 +1.23456789012345E-0 -> Infinity Inexact Overflow Rounded
507mulx732 multiply +0.100 9E-999999999 -> 9.00E-1000000000 Subnormal
508mulx733 multiply 9E-999999999 +0.100 -> 9.00E-1000000000 Subnormal
509mulx735 multiply -1.23456789012345E-0 9E+999999999 -> -Infinity Inexact Overflow Rounded
510mulx736 multiply 9E+999999999 -1.23456789012345E-0 -> -Infinity Inexact Overflow Rounded
511mulx737 multiply -0.100 9E-999999999 -> -9.00E-1000000000 Subnormal
512mulx738 multiply 9E-999999999 -0.100 -> -9.00E-1000000000 Subnormal
513
514mulx739 multiply 1e-599999999 1e-400000001 -> 1E-1000000000 Subnormal
515mulx740 multiply 1e-599999999 1e-400000000 -> 1E-999999999
516mulx741 multiply 1e-600000000 1e-400000000 -> 1E-1000000000 Subnormal
517mulx742 multiply 9e-999999998 0.01 -> 9E-1000000000 Subnormal
518mulx743 multiply 9e-999999998 0.1 -> 9E-999999999
519mulx744 multiply 0.01 9e-999999998 -> 9E-1000000000 Subnormal
520mulx745 multiply 1e599999999 1e400000001 -> Infinity Overflow Inexact Rounded
521mulx746 multiply 1e599999999 1e400000000 -> 1E+999999999
522mulx747 multiply 1e600000000 1e400000000 -> Infinity Overflow Inexact Rounded
523mulx748 multiply 9e999999998 100 -> Infinity Overflow Inexact Rounded
524mulx749 multiply 9e999999998 10 -> 9.0E+999999999
525mulx750 multiply 100 9e999999998 -> Infinity Overflow Inexact Rounded
526-- signs
527mulx751 multiply 1e+777777777 1e+411111111 -> Infinity Overflow Inexact Rounded
528mulx752 multiply 1e+777777777 -1e+411111111 -> -Infinity Overflow Inexact Rounded
529mulx753 multiply -1e+777777777 1e+411111111 -> -Infinity Overflow Inexact Rounded
530mulx754 multiply -1e+777777777 -1e+411111111 -> Infinity Overflow Inexact Rounded
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]531mulx755 multiply 1e-777777777 1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
532mulx756 multiply 1e-777777777 -1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
533mulx757 multiply -1e-777777777 1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
534mulx758 multiply -1e-777777777 -1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]535
536-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
537precision: 9
538mulx760 multiply 1e-600000000 1e-400000001 -> 1E-1000000001 Subnormal
539mulx761 multiply 1e-600000000 1e-400000002 -> 1E-1000000002 Subnormal
540mulx762 multiply 1e-600000000 1e-400000003 -> 1E-1000000003 Subnormal
541mulx763 multiply 1e-600000000 1e-400000004 -> 1E-1000000004 Subnormal
542mulx764 multiply 1e-600000000 1e-400000005 -> 1E-1000000005 Subnormal
543mulx765 multiply 1e-600000000 1e-400000006 -> 1E-1000000006 Subnormal
544mulx766 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]545mulx767 multiply 1e-600000000 1e-400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
546mulx768 multiply 1e-600000000 1e-400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
547mulx769 multiply 1e-600000000 1e-400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]548-- [no equivalent of 'subnormal' for overflow]
549mulx770 multiply 1e+600000000 1e+400000001 -> Infinity Overflow Inexact Rounded
550mulx771 multiply 1e+600000000 1e+400000002 -> Infinity Overflow Inexact Rounded
551mulx772 multiply 1e+600000000 1e+400000003 -> Infinity Overflow Inexact Rounded
552mulx773 multiply 1e+600000000 1e+400000004 -> Infinity Overflow Inexact Rounded
553mulx774 multiply 1e+600000000 1e+400000005 -> Infinity Overflow Inexact Rounded
554mulx775 multiply 1e+600000000 1e+400000006 -> Infinity Overflow Inexact Rounded
555mulx776 multiply 1e+600000000 1e+400000007 -> Infinity Overflow Inexact Rounded
556mulx777 multiply 1e+600000000 1e+400000008 -> Infinity Overflow Inexact Rounded
557mulx778 multiply 1e+600000000 1e+400000009 -> Infinity Overflow Inexact Rounded
558mulx779 multiply 1e+600000000 1e+400000010 -> Infinity Overflow Inexact Rounded
559
560-- 'subnormal' test edge condition at higher precisions
561precision: 99
562mulx780 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
563mulx781 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal
564mulx782 multiply 1e-600000000 1e-400000097 -> 1E-1000000097 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]565mulx783 multiply 1e-600000000 1e-400000098 -> 0E-1000000097 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]566precision: 999
567mulx784 multiply 1e-600000000 1e-400000997 -> 1E-1000000997 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]568mulx785 multiply 1e-600000000 1e-400000998 -> 0E-1000000997 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]569
570-- following testcases [through mulx800] not yet run against code
571precision: 9999
572mulx786 multiply 1e-600000000 1e-400009997 -> 1E-1000009997 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]573mulx787 multiply 1e-600000000 1e-400009998 -> 0E-1000009997 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]574precision: 99999
575mulx788 multiply 1e-600000000 1e-400099997 -> 1E-1000099997 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]576mulx789 multiply 1e-600000000 1e-400099998 -> 0E-1000099997 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]577precision: 999999
578mulx790 multiply 1e-600000000 1e-400999997 -> 1E-1000999997 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]579mulx791 multiply 1e-600000000 1e-400999998 -> 0E-1000999997 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]580precision: 9999999
581mulx792 multiply 1e-600000000 1e-409999997 -> 1E-1009999997 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]582mulx793 multiply 1e-600000000 1e-409999998 -> 0E-1009999997 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]583precision: 99999999
584mulx794 multiply 1e-600000000 1e-499999997 -> 1E-1099999997 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]585mulx795 multiply 1e-600000000 1e-499999998 -> 0E-1099999997 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]586precision: 999999999
587mulx796 multiply 1e-999999999 1e-999999997 -> 1E-1999999996 Subnormal
588mulx797 multiply 1e-999999999 1e-999999998 -> 1E-1999999997 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]589mulx798 multiply 1e-999999999 1e-999999999 -> 0E-1999999997 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]590mulx799 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal
591mulx800 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal
592
593-- test subnormals rounding
594precision: 5
595maxExponent: 999
596minexponent: -999
597rounding: half_even
598
599mulx801 multiply 1.0000E-999 1 -> 1.0000E-999
600mulx802 multiply 1.000E-999 1e-1 -> 1.000E-1000 Subnormal
601mulx803 multiply 1.00E-999 1e-2 -> 1.00E-1001 Subnormal
602mulx804 multiply 1.0E-999 1e-3 -> 1.0E-1002 Subnormal
603mulx805 multiply 1.0E-999 1e-4 -> 1E-1003 Subnormal Rounded
604mulx806 multiply 1.3E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded
605mulx807 multiply 1.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
606mulx808 multiply 1.7E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
607mulx809 multiply 2.3E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
608mulx810 multiply 2.5E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
609mulx811 multiply 2.7E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded
610mulx812 multiply 1.49E-999 1e-4 -> 1E-1003 Underflow Subnormal Inexact Rounded
611mulx813 multiply 1.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
612mulx814 multiply 1.51E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
613mulx815 multiply 2.49E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
614mulx816 multiply 2.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact Rounded
615mulx817 multiply 2.51E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded
616
617mulx818 multiply 1E-999 1e-4 -> 1E-1003 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]618mulx819 multiply 3E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
619mulx820 multiply 5E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]620mulx821 multiply 7E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
621mulx822 multiply 9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
622mulx823 multiply 9.9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded
623
624mulx824 multiply 1E-999 -1e-4 -> -1E-1003 Subnormal
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]625mulx825 multiply 3E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
626mulx826 multiply -5E-999 1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]627mulx827 multiply 7E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
628mulx828 multiply -9E-999 1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
629mulx829 multiply 9.9E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]630mulx830 multiply 3.0E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]631
632mulx831 multiply 1.0E-501 1e-501 -> 1.0E-1002 Subnormal
633mulx832 multiply 2.0E-501 2e-501 -> 4.0E-1002 Subnormal
634mulx833 multiply 4.0E-501 4e-501 -> 1.60E-1001 Subnormal
635mulx834 multiply 10.0E-501 10e-501 -> 1.000E-1000 Subnormal
636mulx835 multiply 30.0E-501 30e-501 -> 9.000E-1000 Subnormal
637mulx836 multiply 40.0E-501 40e-501 -> 1.6000E-999
638
639-- squares
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]640mulx840 multiply 1E-502 1e-502 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]641mulx841 multiply 1E-501 1e-501 -> 1E-1002 Subnormal
642mulx842 multiply 2E-501 2e-501 -> 4E-1002 Subnormal
643mulx843 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal
644mulx844 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal
645mulx845 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal
646mulx846 multiply 40E-501 40e-501 -> 1.600E-999
647
648-- cubes
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]649mulx850 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]650mulx851 multiply 1E-668 1e-334 -> 1E-1002 Subnormal
651mulx852 multiply 4E-668 2e-334 -> 8E-1002 Subnormal
652mulx853 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal
653mulx854 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal
654mulx855 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal
655mulx856 multiply 10E-668 100e-334 -> 1.000E-999
656
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]657-- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]658precision: 19
659mulx860 multiply 6636851557994578716E-520 6636851557994578716E-520 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded
660
661-- Long operand overflow may be a different path
662precision: 3
663maxExponent: 999999999
664minexponent: -999999999
665mulx870 multiply 1 9.999E+999999999 -> Infinity Inexact Overflow Rounded
666mulx871 multiply 1 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
667mulx872 multiply 9.999E+999999999 1 -> Infinity Inexact Overflow Rounded
668mulx873 multiply -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded
669
670-- check for double-rounded subnormals
671precision: 5
672maxexponent: 79
673minexponent: -79
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]674mulx881 multiply 1.2347E-40 1.2347E-40 -> 1.524E-80 Inexact Rounded Subnormal Underflow
675mulx882 multiply 1.234E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
676mulx883 multiply 1.23E-40 1.23E-40 -> 1.513E-80 Inexact Rounded Subnormal Underflow
677mulx884 multiply 1.2E-40 1.2E-40 -> 1.44E-80 Subnormal
678mulx885 multiply 1.2E-40 1.2E-41 -> 1.44E-81 Subnormal
679mulx886 multiply 1.2E-40 1.2E-42 -> 1.4E-82 Subnormal Inexact Rounded Underflow
680mulx887 multiply 1.2E-40 1.3E-42 -> 1.6E-82 Subnormal Inexact Rounded Underflow
681mulx888 multiply 1.3E-40 1.3E-42 -> 1.7E-82 Subnormal Inexact Rounded Underflow
682mulx889 multiply 1.3E-40 1.3E-43 -> 2E-83 Subnormal Inexact Rounded Underflow
683mulx890 multiply 1.3E-41 1.3E-43 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]684
685mulx891 multiply 1.2345E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded
686mulx892 multiply 1.23456E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded
687mulx893 multiply 1.2345E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
688mulx894 multiply 1.23456E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow
689mulx895 multiply 1.2345E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow
690mulx896 multiply 1.23456E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow
691
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]692-- Now explore the case where we get a normal result with Underflow
693precision: 16
694rounding: half_up
695maxExponent: 384
696minExponent: -383
697
698mulx900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded
699mulx901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
700mulx902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
701mulx903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
702mulx904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
703mulx905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
704-- prove operands are exact
705mulx906 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383
706mulx907 multiply 1 0.09999999999999999 -> 0.09999999999999999
707-- the next rounds to Nmin
708mulx908 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
709mulx909 multiply 9.999999999999999E-383 0.099999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
710mulx910 multiply 9.999999999999999E-383 0.0999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
711mulx911 multiply 9.999999999999999E-383 0.09999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
712
713
714-- Examples from SQL proposal (Krishna Kulkarni)
715precision: 34
716rounding: half_up
717maxExponent: 6144
718minExponent: -6143
719mulx1001 multiply 130E-2 120E-2 -> 1.5600
720mulx1002 multiply 130E-2 12E-1 -> 1.560
721mulx1003 multiply 130E-2 1E0 -> 1.30
722mulx1004 multiply 1E2 1E4 -> 1E+6
723
724-- payload decapitate
725precision: 5
726mulx1010 multiply 11 -sNaN1234567890 -> -NaN67890 Invalid_operation
727
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]728-- Null tests
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]729mulx990 multiply 10 # -> NaN Invalid_operation
730mulx991 multiply # 10 -> NaN Invalid_operation
Raymond Hettinger7c85fa42004-07-01 11:01:35 +0000[diff] [blame]731