Abstract

CORDIC-based architectures remain a key building block for implementing elementary transcendental functions on resource-constrained FPGAs. However, classical CORDIC suffers from long latencies, irregular iteration patterns in hyperbolic mode, and non-trivial scale-factor compensation. This work builds on a low-latency recoding CORDIC for trigonometric functions based on look up tables anchoring, angle recoding and linear interpolation. It extends that framework to support the hyperbolic mode and the exponential function exp ( x ) , and validates it across two FPGA families (Intel/Altera Cyclone IV and AMD/Xilinx Spartan-7). The proposed recoded hyperbolic kernel uses a monotonic shift schedule, eliminates runtime direction computation, and leverages a bit-accurate fixed-point model to derive all constants and interpolation coefficients. Experimental evaluation with 16-bit fixed-point operands compares …

Date

2026

Authors

Pawel Poczekajlo, Ewa Deelman, Michela Taufer, Pawel Gepner, Leonid Moroz, Jerzy Krawiec, Andrzej Przybyl

Journal

Journal of Computational Science

Pages

102933

Publisher

Elsevier