A Unified Architecture for the Accurate and High-Throughput Implementation of Six Key Elementary Functions
Issue No. 04 - April (2010 vol. 59)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TC.2009.169
Amirhossein Alimohammad , Ukalta Engineering, Edmonton
Saeed Fouladi Fard , Ukalta Engineering, Edmonton
Bruce F. Cockburn , University of Alberta, Edmonton
This paper presents a unified architecture for the compact implementation of several key elementary functions, including reciprocal, square root, and logarithm, in single-precision floating-point arithmetic. The proposed high-throughput design is based on uniform domain segmentation and curve fitting techniques. Numerically accurate least-squares regression is utilized to calculate the polynomial coefficients. The architecture is optimized by analyzing the trade-off between the size of the required memory and the precision of intermediate variables to achieve the minimum 23-bit accuracy required for single-precision floating-point representation. The efficiency of the proposed unified data path is demonstrated on a common field-programmable gate array.
Floating-point arithmetic, single-precision arithmetic, reciprocal, square root, logarithm, computer arithmetic.
S. Fouladi Fard, B. F. Cockburn and A. Alimohammad, "A Unified Architecture for the Accurate and High-Throughput Implementation of Six Key Elementary Functions," in IEEE Transactions on Computers, vol. 59, no. , pp. 449-456, 2009.