Paper Abstract and Keywords |
Presentation |
2017-03-10 14:50
Double-precision floating-point logarithm calculation method for FPGA Yasufumi Fujiwara, Kazuyoshi Takagi, Naofumi Takagi (Kyoto Univ.) CPSY2016-156 DC2016-102 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Floating-point arithmetic standard IEEE 754 was revised in 2008, and it presents 36 functions that should be calculated correctly. And, due to the high performance of the FPGA, there is a movement to use the FPGA as an accelerator of a data center or supercomputer. At this time, we can expect improvement in performance by configuring circuits for function calculation on the FPGA. For that purpose we are planning a double precision floating point function calculation FPGA library. In this research, we propose a calculation method for FPGA which computes double precision logarithmic function conforming to IEEE 754-2008 standard. In the method, we perform multilevel argument reduction using tables and multiplications, and approximation using Taylor expansion. In addition, by correcting the value when the rounding is mistaked, intermediate precision necessary for accurate rounding is reduced. There is a tradeoff between the number of argument reductions and the order of approximation, and we describe the method of determining these parameters. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
IEEE754-2008 / double-precision / log function / FPGA / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 116, no. 510, CPSY2016-156, pp. 363-367, March 2017. |
Paper # |
CPSY2016-156 |
Date of Issue |
2017-03-02 (CPSY, DC) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
Download PDF |
CPSY2016-156 DC2016-102 |
Conference Information |
Committee |
CPSY DC IPSJ-SLDM IPSJ-EMB IPSJ-ARC |
Conference Date |
2017-03-09 - 2017-03-10 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kumejima Island |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
ETNET20167 |
Paper Information |
Registration To |
CPSY |
Conference Code |
2017-03-CPSY-DC-SLDM-EMB-ARC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Double-precision floating-point logarithm calculation method for FPGA |
Sub Title (in English) |
|
Keyword(1) |
IEEE754-2008 |
Keyword(2) |
double-precision |
Keyword(3) |
log function |
Keyword(4) |
FPGA |
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Yasufumi Fujiwara |
1st Author's Affiliation |
Kyoto University (Kyoto Univ.) |
2nd Author's Name |
Kazuyoshi Takagi |
2nd Author's Affiliation |
Kyoto University (Kyoto Univ.) |
3rd Author's Name |
Naofumi Takagi |
3rd Author's Affiliation |
Kyoto University (Kyoto Univ.) |
4th Author's Name |
|
4th Author's Affiliation |
() |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
21st Author's Name |
|
21st Author's Affiliation |
() |
22nd Author's Name |
|
22nd Author's Affiliation |
() |
23rd Author's Name |
|
23rd Author's Affiliation |
() |
24th Author's Name |
|
24th Author's Affiliation |
() |
25th Author's Name |
|
25th Author's Affiliation |
() |
26th Author's Name |
/ / |
26th Author's Affiliation |
()
() |
27th Author's Name |
/ / |
27th Author's Affiliation |
()
() |
28th Author's Name |
/ / |
28th Author's Affiliation |
()
() |
29th Author's Name |
/ / |
29th Author's Affiliation |
()
() |
30th Author's Name |
/ / |
30th Author's Affiliation |
()
() |
31st Author's Name |
/ / |
31st Author's Affiliation |
()
() |
32nd Author's Name |
/ / |
32nd Author's Affiliation |
()
() |
33rd Author's Name |
/ / |
33rd Author's Affiliation |
()
() |
34th Author's Name |
/ / |
34th Author's Affiliation |
()
() |
35th Author's Name |
/ / |
35th Author's Affiliation |
()
() |
36th Author's Name |
/ / |
36th Author's Affiliation |
()
() |
Speaker |
Author-1 |
Date Time |
2017-03-10 14:50:00 |
Presentation Time |
20 minutes |
Registration for |
CPSY |
Paper # |
CPSY2016-156, DC2016-102 |
Volume (vol) |
vol.116 |
Number (no) |
no.510(CPSY), no.511(DC) |
Page |
pp.363-367 |
#Pages |
5 |
Date of Issue |
2017-03-02 (CPSY, DC) |