Digital Implementation of Fractional Exponentiation
    1.
    发明申请
    Digital Implementation of Fractional Exponentiation 失效
    分数指数的数字实现

    公开(公告)号:US20070282936A1

    公开(公告)日:2007-12-06

    申请号:US11421425

    申请日:2006-05-31

    IPC分类号: G06F1/02

    CPC分类号: G06F7/556

    摘要: Provided are digital processing apparatuses and techniques for estimating the fractional exponentiation of the base number 2, i.e., 2f where f is a fractional value. In one representative embodiment, a calculation is made of a folded quantity, which is equal to 1−f if f is greater than a specified threshold and is equal to f otherwise; then, a function of the folded quantity is calculated; and finally, the function of the folded quantity is subtracted from the fraction f and 1 is added. In another embodiment, 2f is approximated by calculating 1+f′ in the binary numbering system.

    摘要翻译: 提供了用于估计基数2的分数取幂的数字处理装置和技术,即,f是小数值。 在一个代表性实施例中,计算折叠量,如果f大于指定阈值,则等于1-f,否则等于f; 然后,计算折叠量的函数; 最后,从分数f中减去折叠量的函数,加入1。 在另一个实施例中,通过在二进制编号系统中计算1 + f'来近似2f。

    Digital implementation of fractional exponentiation
    2.
    发明授权
    Digital implementation of fractional exponentiation 失效
    数字实现分数求幂

    公开(公告)号:US07644116B2

    公开(公告)日:2010-01-05

    申请号:US11421425

    申请日:2006-05-31

    IPC分类号: G06F7/552

    CPC分类号: G06F7/556

    摘要: Provided are digital processing apparatuses and techniques for estimating the fractional exponentiation of the base number 2, i.e., 2f where f is a fractional value. In one representative embodiment, a calculation is made of a folded quantity, which is equal to 1−f if f is greater than a specified threshold and is equal to f otherwise; then, a function of the folded quantity is calculated; and finally, the function of the folded quantity is subtracted from the fraction f and 1 is added. In another embodiment, 2f is approximated by calculating 1+f′ in the binary numbering system.

    摘要翻译: 提供了用于估计基数2的分数取幂的数字处理装置和技术,即2f,其中f是分数值。 在一个代表性实施例中,计算折叠量,如果f大于指定阈值,则等于1-f,否则等于f; 然后,计算折叠量的函数; 最后,从分数f中减去折叠量的函数,加入1。 在另一实施例中,通过在二进制编号系统中计算1 + f'来近似2f。