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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。
    • 6. 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。
    • 7. 发明授权
    • Decimal elementary functions computation
    • 小数基本函数计算
    • US08788560B2
    • 2014-07-22
    • US13293061
    • 2011-11-09
    • Tarek EldeebHossam Aly Hassan FahmyMahmoud Y. Hassan
    • Tarek EldeebHossam Aly Hassan FahmyMahmoud Y. Hassan
    • G06F7/38
    • G06F7/544G06F2207/4911
    • A method for executing a decimal elementary function (DEF) computation from multiple decimal floating-point operands, including: extracting mantissae and exponents from the operands; generating normalized mantissae by shifting the mantissae based on the number of leading zeros; calculating a plurality of approximations for a logarithm of the first normalized mantissa; calculating, using the plurality of approximations for the logarithm, a plurality of approximations for a product of the second normalized mantissa and a sum based on the logarithm of the first normalized mantissa and an exponent; generating a plurality of shifted values by shifting the plurality of approximations for the product; generating a plurality of fraction components from the plurality of shifted values; calculating an antilog based on the plurality of fraction components; and outputting a decimal floating-point result of the DEF computation comprising a resultant mantissa based on the antilog and a resultant biased exponent.
    • 一种用于从多个十进制浮点运算执行十进制基本函数(DEF)计算的方法,包括:从操作数中提取mantissae和exponents; 通过基于前导零的数量移动镰刀生成归一化的镰刀; 计算第一标准化尾数的对数的多个近似值; 使用所述对数的所述近似来计算所述第二标准化尾数与基于所述第一标准化尾数和指数的对数的乘积的乘积的多个近似; 通过移动产品的多个近似来产生多个移位值; 从所述多个移位值生成多个分数分量; 基于多个分数分量计算反对数; 并输出DEF运算的十进制浮点运算结果,该结果包括基于反序号和合成偏移指数的合成尾数。
    • 10. 发明申请
    • DECIMAL ELEMENTARY FUNCTIONS COMPUTATION
    • DECIMAL ELEMENTARY功能计算
    • US20130117341A1
    • 2013-05-09
    • US13293061
    • 2011-11-09
    • Tarek EldeebHossam Aly Hassan FahmyMahmoud Y. Hassan
    • Tarek EldeebHossam Aly Hassan FahmyMahmoud Y. Hassan
    • G06F7/42G06F7/44
    • G06F7/544G06F2207/4911
    • A method for executing a decimal elementary function (DEF) computation from multiple decimal floating-point operands, including: extracting mantissae and exponents from the operands; generating normalized mantissae by shifting the mantissae based on the number of leading zeros; calculating a plurality of approximations for a logarithm of the first normalized mantissa; calculating, using the plurality of approximations for the logarithm, a plurality of approximations for a product of the second normalized mantissa and a sum based on the logarithm of the first normalized mantissa and an exponent; generating a plurality of shifted values by shifting the plurality of approximations for the product; generating a plurality of fraction components from the plurality of shifted values; calculating an antilog based on the plurality of fraction components; and outputting a decimal floating-point result of the DEF computation comprising a resultant mantissa based on the antilog and a resultant biased exponent.
    • 一种用于从多个十进制浮点运算执行十进制基本函数(DEF)计算的方法,包括:从操作数中提取出mantissae和exponents; 通过基于前导零的数量移动镰刀生成归一化的镰刀; 计算第一标准化尾数的对数的多个近似值; 使用所述对数的所述近似来计算所述第二标准化尾数与基于所述第一标准化尾数和指数的对数的乘积的乘积的多个近似; 通过移动产品的多个近似来产生多个移位值; 从所述多个移位值生成多个分数分量; 基于多个分数分量计算反对数; 并输出DEF运算的十进制浮点运算结果,该结果包括基于反序号和合成偏移指数的合成尾数。