參數(shù)資料
型號(hào): 21928
英文描述: Low-Frequency, Spread-Spectrum EconOscillator
中文描述: 的AMD - K6 - 2E處理器數(shù)據(jù)手冊(cè)3DNow?。考夹g(shù)手冊(cè)
文件頁(yè)數(shù): 69/72頁(yè)
文件大?。?/td> 845K
代理商: 21928
21928G/0—March 2000
3DNow! Technology Manual
Chapter 3
Division and Square Root
59
3
Division and Square Root
Division
The 3DNow! instructions can be used to compute a very fast,
highly accurate reciprocal or quotient.
Consider the quotient q = a/b. An on-chip, ROM-based table
lookup can be used to quickly produce a 14–15 bit precision
approximation of 1/b (using just one two-cycle latency
instruction—PFRCP). A full-precision reciprocal can then
quickly be computed from this approximation using a
Newton-Raphson algorithm.
The general Newton-Raphson recurrence for the reciprocal is as
follows:
Z
i +1
Z
i
(2 – b Z
i
)
Given that the initial approximation is accurate to at least 14
bits, and that full IEEE single precision contains 24 bits of
mantissa, just one Newton-Raphson iteration is required. The
following shows the 3DNow! instruction sequence to produce
the initial reciprocal approximation, to compute the
full-precision reciprocal from this, and lastly, to complete the
required division of a/b.
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