Design, Implementation and Evaluation of a New Variable Latency Integer Division Scheme

Abstract

Integer division is key for various applications and often represents the performance bottleneck due to its inherent mathematical properties that limit its parallelization. This paper presents a new datadependent variable latency division algorithm, derived from the classic non-performing restoring method. The proposed technique exploits the relationship between the number of leading zeros in the divisor and in the partial remainder to dynamically detect and skip those iterations that result in a simple left shift. While a similar principle has been exploited in previous works, the proposed approach outperforms existing variable latency divider schemes in average latency and power consumption. We detail the algorithm and its implementation in four variants, offering versatility for the specific application requirements. For each variant, we report the average latency evaluated with different benchmarks, and we analyze the synthesis results for both FPGA and ASIC deployment, reporting clock speed, average execution time, hardware resources, and energy consumption, compared with existing fixed and variable latency dividers.