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    • 1. 发明申请
    • DECIMAL FLOATING-POINT SQUARE-ROOT UNIT USING NEWTON-RAPHSON ITERATIONS
    • 使用NEWTON-RAPHSON迭代的十进制浮点平方根单元
    • US20120011182A1
    • 2012-01-12
    • US13177488
    • 2011-07-06
    • Ramy RaafatAmira MohamedHossam Ali Hassan FahmyYasmeen FaroukMostafa ElkhoulyTarek EldeebRodina Samy
    • Ramy RaafatAmira MohamedHossam Ali Hassan FahmyYasmeen FaroukMostafa ElkhoulyTarek EldeebRodina Samy
    • G06F7/552G06F5/01
    • G06F7/5525G06F7/491G06F2207/5355
    • A system including: an input processing unit configured to: extract a significant and a bias exponent from the decimal floating-point radicand; and calculate a normalized significand; a square root unit configured to: calculate, using a FMA unit, a refined reciprocal square-root of the normalized significand; calculate an unrounded square-root of the normalized significand by multiplying the refined reciprocal square-root by the normalized significand; and generate a rounded square-root based on a first difference between the normalized significand and a square of the unrounded square-root; a master control unit operatively connected to the input processing hardware unit and the square-root hardware unit and configured to calculate an exponent for the unrounded square-root based on the number of leading zeros and a precision of the decimal floating-point radicand; and an output formulation unit configured to output a decimal floating-point square-root of the radicand based on the rounded square-root and the exponent.
    • 一种系统,包括:输入处理单元,被配置为:从十进制浮点radic中提取有效偏移指数和偏差指数; 并计算归一化有效位数; 平方根单元,其被配置为:使用FMA单元计算所述归一化有效位数的精确相互平方根; 通过将精确的倒数平方根乘以归一化有效位数来计算标准化有效位数的未圆角平方根; 并且基于归一化有效位数和未包围的平方根的平方之间的第一差异生成舍入的平方根; 主控制单元,可操作地连接到输入处理硬件单元和平方根硬件单元,并且被配置为基于前导零的数量和十进制浮点数的精度来计算未包围的平方根的指数; 以及输出公式单元,被配置为基于所述舍入的平方根和所述指数输出所述radic的十进制浮点平方根。
    • 5. 发明授权
    • Decimal floating-point square-root unit using Newton-Raphson iterations
    • 使用牛顿 - 拉夫逊迭代的十进制浮点平方根单位
    • US08812575B2
    • 2014-08-19
    • US13177488
    • 2011-07-06
    • Ramy RaafatAmira MohamedHossam Ali Hassan FahmyYasmeen FaroukMostafa ElkhoulyTarek EldeebRodina Samy
    • Ramy RaafatAmira MohamedHossam Ali Hassan FahmyYasmeen FaroukMostafa ElkhoulyTarek EldeebRodina Samy
    • G06F7/552
    • G06F7/5525G06F7/491G06F2207/5355
    • A system including: an input processing unit configured to: extract a significant and a bias exponent from the decimal floating-point radicand; and calculate a normalized significand; a square root unit configured to: calculate, using a FMA unit, a refined reciprocal square-root of the normalized significand; calculate an unrounded square-root of the normalized significand by multiplying the refined reciprocal square-root by the normalized significand; and generate a rounded square-root based on a first difference between the normalized significand and a square of the unrounded square-root; a master control unit operatively connected to the input processing hardware unit and the square-root hardware unit and configured to calculate an exponent for the unrounded square-root based on the number of leading zeros and a precision of the decimal floating-point radicand; and an output formulation unit configured to output a decimal floating-point square-root of the radicand based on the rounded square-root and the exponent.
    • 一种系统,包括:输入处理单元,被配置为:从十进制浮点radic中提取有效偏移指数和偏差指数; 并计算归一化有效位数; 平方根单元,其被配置为:使用FMA单元计算所述归一化有效位数的精确相互平方根; 通过将精确的倒数平方根乘以归一化有效位数来计算标准化有效位数的未圆角平方根; 并且基于归一化有效位数和未包围的平方根的平方之间的第一差异生成舍入的平方根; 主控制单元,可操作地连接到输入处理硬件单元和平方根硬件单元,并且被配置为基于前导零的数量和十进制浮点数的精度来计算未包围的平方根的指数; 以及输出公式单元,被配置为基于所述舍入的平方根和所述指数输出所述radic的十进制浮点平方根。