DocumentCode
2867059
Title
A Prescale-Lookup-Postscale Additive Procedure for Obtaining a Single Precision Ulp Accurate Reciprocal
Author
Matula, David W. ; Panu, Mihai T.
Author_Institution
Comput. Sci. & Eng., Southern Methodist Univ., Dallas, TX, USA
fYear
2011
fDate
25-27 July 2011
Firstpage
177
Lastpage
183
Abstract
We investigate the utilization of additive prescaling for reducing the input range for determining a divisor reciprocal approximation. In particular, we demonstrate that a single precision (24-bit) ulp accurate monotonic approximate reciprocal operation can be obtained employing three back-to-back three term additions and bipartite table lookup with total table size less than 6 Kbytes.
Keywords
digital arithmetic; microprocessor chips; table lookup; bipartite table lookup; divisor reciprocal approximation; prescale-lookup-postscale additive procedure; single precision Ulp accurate monotonic approximate reciprocal operation; Adders; Additives; Indexes; Linear approximation; Microprocessors; Table lookup; 3-1 adder; additive prescaling; lookup table; reciprocal; single precision;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Arithmetic (ARITH), 2011 20th IEEE Symposium on
Conference_Location
Tubingen
ISSN
1063-6889
Print_ISBN
978-1-4244-9457-6
Type
conf
DOI
10.1109/ARITH.2011.31
Filename
5992123
Link To Document