Method and apparatus for fast natural log(X) calculation

Details Method and apparatus for fast natural log(X) calculation Method and apparatus for fast natural log(X) calculation

2006-04-18

2006-04-18

Chaki, Kakali (Department: 2193)

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

Reexamination Certificate

active

07031993

ABSTRACT:
A method for computing a natural logarithm function includes partitioning a mantissa region between 1 and 2 into N equally spaced sub-regions; precomputing a reference point aiof each of the N equally spaced sub-regions, where i=0, . . . ,N−1; selecting N sufficiently large so that, within each sub-region, a first degree polynomial in m computes log(m) to within a preselected degree of accuracy for any m within the sub-region, where m is a mantissa of a binary floating point representation of a variable x; and computing a value of log(x) for a binary floating point representation of x stored in a memory of a computing device utilizing the first degree polynomial in m.

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