On fixed-point hardware polynomials

On fixed-point hardware polynomials
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关于定点硬件多项式

DOI:
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发表时间:
2015
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通讯作者:
F. D. Dinechin
F. D. Dinechin
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文献类型:
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作者:
F. D. Dinechin

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多项式逼近是一种计算一元数值函数的通用方法。本文讨论了定点硬件多项式求值器的自动构造。通过系统地尝试平衡导致架构的所有步骤的准确性,它简化并改进了以前的工作,包括多项式近似,多项式求值和范围缩减。这项工作得到了开源实现的支持。
Polynomial approximation is a general technique for the evaluation of numerical functions of one variable. This article addresses the automatic construction of fixed-point hardware polynomial evaluators. By systematically trying to balance the accuracy of all the steps that lead to an architecture, it simplifies and improves the previous body of work covering polynomial approximation, polynomial evaluation, and range reduction. This work is supported by an open-source implementation.