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Efficient Single-Precision Floating-Point Division Using Harmonized Parabolic Synthesis

机译:使用协调抛物线合成的高效单精度浮点除法

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摘要

This paper proposes a novel method for performing division on floating-point numbers represented in IEEE-754 single-precision (binary32) format. The method is based on an inverter, implemented as a combination of Parabolic Synthesis and second-degree interpolation, followed by a multiplier. It is implemented with and without pipeline stages individually and synthesized while targeting a Xilinx Ultrascale FPGA. The implementations show better resource usage and latency results when compared to other implementations based on different methods. In case of throughput, the proposed method outperforms most of the other works, however, some Altera FPGAs achieve higher clock rate due to the differences in the DSP slice multiplier design. Due to the small size, low latency and high throughput, the presented floating-point division unit is suitable for high performance embedded systems and can be integrated into accelerators or be used as a stand-alone accelerator.
机译:本文提出了一种新的方法,可以对以IEEE-754单精度(binary32)格式表示的浮点数执行除法。该方法基于逆变器,实现为抛物线合成和二次插值的组合,然后再乘以一个乘法器。它针对有无Xilinx Ultrascale FPGA分别进行和不进行流水线阶段实现。与基于不同方法的其他实现相比,这些实现显示出更好的资源使用和延迟结果。就吞吐量而言,所提出的方法胜过大多数其他工作,但是,由于DSP Slice乘法器设计的差异,某些Altera FPGA实现了更高的时钟速率。由于体积小,等待时间短和吞吐量高,因此提出的浮点除法单元适用于高性能嵌入式系统,并且可以集成到加速器中或用作独立的加速器。

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