A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers
Joint Authors
El-Ghazawi, Tarek
Lopez-Buedo, Sergio
Gonzalez, Ivan
El-Araby, Esam
Source
International Journal of Reconfigurable Computing
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Information Technology and Computer Science
Abstract EN
This work presents an approach for accelerating arbitrary-precision arithmetic on high-performance reconfigurable computers (HPRCs).
Although faster and smaller, fixed-precision arithmetic has inherent rounding and overflow problems that can cause errors in scientific or engineering applications.
This recurring phenomenon is usually referred to as numerical nonrobustness.
Therefore, there is an increasing interest in the paradigm of exact computation, based on arbitrary-precision arithmetic.
There are a number of libraries and/or languages supporting this paradigm, for example, the GNU multiprecision (GMP) library.
However, the performance of computations is significantly reduced in comparison to that of fixed-precision arithmetic.
In order to reduce this performance gap, this paper investigates the acceleration of arbitrary-precision arithmetic on HPRCs.
A Convolve-And-MErge approach is proposed, that implements virtual convolution schedules derived from the formal representation of the arbitrary-precision multiplication problem.
Additionally, dynamic (nonlinear) pipeline techniques are also exploited in order to achieve speedups ranging from 5x (addition) to 9x (multiplication), while keeping resource usage of the reconfigurable device low, ranging from 11% to 19%.
American Psychological Association (APA)
El-Araby, Esam& Gonzalez, Ivan& Lopez-Buedo, Sergio& El-Ghazawi, Tarek. 2012. A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers. International Journal of Reconfigurable Computing،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-508625
Modern Language Association (MLA)
El-Araby, Esam…[et al.]. A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers. International Journal of Reconfigurable Computing No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-508625
American Medical Association (AMA)
El-Araby, Esam& Gonzalez, Ivan& Lopez-Buedo, Sergio& El-Ghazawi, Tarek. A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers. International Journal of Reconfigurable Computing. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-508625
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508625