A Highly Parallel FPGA based IEEE-754 Compliant Double-Precision Binary Floating-Point Multiplication Algorithm

摘要

There is increasing demand for fast floating-point arithmetic support to make Field Programmable Gate Arrays (FPGAs) a practical option for scientific applications. We propose a new IEEE-754 compliant double-precision floating-point multiplication algorithm that supports denormal numbers, NaN and exception handling. Solution involves bit-level operations with minimum dependency between partial products through a specialized adder tree structure tailored to make use of modular and parallel nature of FPGAs. We achieve maximum operational frequency of 274MHz for mantissa multiplication and 228MHz for the overall system on Xilinx Virtex-4 platform. Our design carries performance benefits similar to ASIC based algorithms; and routing benefits similar to ripple carry array and carry save multipliers. Proposed approach outperforms algorithm and IP-Core solutions in the academia and Xilinx LogiCORE multiplier when no embedded resources are used. Algorithm allows reaching double-double precision level with much less performance degradation and pipelining demand than IP-Core based approaches.