RT Journal Article
T1 Implementation of the exponential function in a floating- point unit
A1 Vázquez Álvarez, Álvaro
A1 Antelo Suárez, Elisardo
K1 Exponential function
K1 Transcendental functions
K1 Floating–point unit
K1 Computer arithmetic
AB In this work we present an implementation of the exponential function in double precision, in a unit that supports IEEE floating-point arithmetic. As existing proposals, the implementation is based on the use of a floating-point multiplier and additional hardware. We decompose the computation into three subexponentials. The first and third subexponentials are computed in a conventional way (table look-up and polynomial approximation). The second subexponential is computed based on a transformation of the slow radix-2 digit-recurrence algorithm into a fast computation by using the multiplier and additional hardware. We present a design process that permits the selection of the most convenient trade-off between hardware complexity and latency. We discuss the algorithm, the implementation, and perform a rough comparison with three proposed designs. Our estimations indicate that the implementation proposed in this work presents better trade-off between hardware complexity and latency than the compared designs
PB Springer Nature
SN 0922-5773
SN 1573-109X
YR 2003
FD 2003-01-01
LK https://hdl.handle.net/10347/46065
UL https://hdl.handle.net/10347/46065
LA eng
NO Vázquez, Á., Antelo, E. (2003). Implementation of the Exponential Function in a Floating-Point Unit. "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", 33(1-2), 125-145
NO This work was partially supported by Xunta de Galicia under contract PGIDT99PXI20601A
DS Minerva
RD 24 abr 2026