June 1995
Intermediate to advanced
438 pages
10h 53m
English
Content preview from Graphics Gems V (IBM Version)
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I.3
Fixed-Point Square Root
Turkowski Ken, Apple Computer, Inc. Cupertino, California. E-mail address: turk@apple.com
Introduction
Many graphics algorithms rely upon fixed-point arithmetic and its inherent speed advantage over floating point. Often, a fixed-point algorithm requires the evaluation of a square root. This gem describes an algorithm that computes the square root directly in its fixed-point representation, saving the expense of (re)converting and evaluating in floating point. A related gem (Musial 1991) computes an approximate integer square root through the use of integer divisions, but the following algorithm uses more elementary operations.
The Algorithm
The algorithm is based upon a fixed-point format having two integer ...
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