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Floating-point division and square root implementation using a Taylor-series expansion algorithm

机译:浮点划分和平方根实现使用Taylor系列扩展算法

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Hardware support for floating-point (FP) arithmetic is an essential feature of modern microprocessor design. Although division and square root are relatively infrequent operations in traditional general-purpose applications, they are indispensable and becoming increasingly important in many modern applications. In this paper, a fused floating-point multiply/divide/square root unit based on Taylor-series expansion algorithm is presented. The implementation results of the proposed fused unit based on standard cell methodology in IBM 90nm technology exhibits that the incorporation of square root function to an existing multiply/divide unit requires only a modest 23% area increase and the same low latency for divide and square root operation can be achieved (12 cycles). The proposed arithmetic unit also exhibits a reasonably good area-performance balance.
机译:用于浮点(FP)算术的硬件支持是现代微处理器设计的基本特征。虽然在传统的通用应用中,划分和平方根是相对不常见的操作,但它们在许多现代应用中是不可或缺的并且变得越来越重要。本文介绍了一种基于泰勒级扩展算法的融合浮点乘法/划分/平方根单元。基于IBM 90nm技术的标准细胞方法的所提出的融合单元的实施结果表现出广场根功能与现有乘法/分组的掺入只需要适度的23%的面积增加和分割和平方根的相同低延迟可以实现操作(12个循环)。所提出的算术单元也表现出相当良好的面积性能平衡。

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