Enhanced Floating-Point Multiply-Add with Full Denormal Support
Jongwook Sohn, David K. Dean, Eric Quintana, Wing Shek Wong · 2023
This paper presents an enhanced floating-point multiply-add (FMA) design for the Intel E-Core processor. FMA is one of the most widely used operation in many applications. The proposed FMA is executed in 4 cycles, fully pipelined, handles SSE/AVX operations for scalar/packed IEEE single and double precision, and supports all four rounding modes. Also, the proposed FMA fully supports both denormal inputs and underflow outputs without microcode assistance. To achieve the 4-cycle FMA with full denormal support, several optimization techniques are applied: one-way alignment, radix-16 Booth encoding for the multiplier, merged J-bit correction and aligned significand with the multiply array, modified leading zero anticipation (LZA) for masking the underflow, parallel sticky and all-ones detection with the normalization, and merged two’s complement with the rounding logic. As a result, the proposed FMA achieved not only full denormal support but also about 10 – 30% reduced area and about 10 – 20% reduced latency compared to the traditional FMAs.