September 2003
Intermediate to advanced
709 pages
26h 51m
English
Content preview from Digital Arithmetic
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CHAPTER 10
Function Evaluation
based on the calculation of the remainder produced by the rounded approxima-
tion. These methods are not applicable for nonalgebraic functions, such as those
discussed in this chapter. For these functions, the following approaches have been
used:
9 For implementations using table lookup only, the correctly rounded values
can be stored. As indicated, these implementations are practical for
low-precision cases.
~ For implementations based on piecewise interpolations, the coefficients can
be tuned so as to produce correctly rounded results. Since the tuning is done
by exhaustively examining all argument
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