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首页> 外文学位 >Floating-point divider with a reciprocal unit for high-performance graphics processor.
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Floating-point divider with a reciprocal unit for high-performance graphics processor.

机译：带有倒数单元的浮点除法器，用于高性能图形处理器。

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摘要

To limit a carry-propagation in addition, a redundant binary number adder is proposed. With these adders, a new multiplier is designed. This multiplier processes 4-bit data at a time for the multiple generation. Therefore, the number of partial products is reduced by one fourth. For a fast and accurate division process, a reciprocal unit (RU) is devised, which is based on an accurate linear approximation with a modified bipartite table generation method. Using this new adder, multiplier and reciprocal unit, a new floating-point division algorithm and its design are proposed. For parallel operation, the dividend is separated by two groups of bits that are multiplied with the reciprocal of the divisor to form two separated quotients. A correction term is added to the second quotient form. These quotients are added to make a final quotient. All intermediate results maintain the accuracy of a quarter ulp (unit in the last place). The final quotient maintains only 55 bits for a 53-bit fraction of the IEEE-754 double precision format before rounding. No special rounding algorithm or hardware is required for this floating-point divider since the accuracy is accurate enough to produce the final quotient without error. This floating-point divider is applicable to a high performance coprocessor.
机译：为了限制进位传播，提出了一种冗余的二进制数加法器。利用这些加法器，设计了一个新的乘法器。该乘法器一次处理4位数据以进行多次生成。因此，部分产品的数量减少了四分之一。为了实现快速准确的除法过程，设计了一个倒数单位（RU），该单位基于采用改进的二部表生成方法的精确线性逼近。利用这种新的加法器，乘法器和倒数单元，提出了一种新的浮点除法算法及其设计。对于并行运算，被除数由两组位分隔，该两组位与除数的倒数相乘以形成两个独立的商。将校正项添加到第二商形式。将这些商相加即可得出最终商。所有中间结果均保持四分之一ulp（最后一个单位）的精度。在四舍五入之前，最终商仅对IEEE-754双精度格式的53位分数保留55位。该浮点除法器不需要特殊的舍入算法或硬件，因为其精度足以产生最终商且没有错误。该浮点除法器适用于高性能协处理器。

著录项

  • 作者

    Choo, Iljoo.;

  • 作者单位

    Florida Institute of Technology.;

  • 授予单位 Florida Institute of Technology.;
  • 学科 Engineering Electronics and Electrical.; Computer Science.
  • 学位 Ph.D.
  • 年度 2001
  • 页码 316 p.
  • 总页数 316
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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