July 2002
Intermediate to advanced
320 pages
8h 15m
English
Content preview from Hacker's Delight
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11-1. Integer Square Root
By the “integer square root” function, we mean the function
To extend its range of application and to avoid deciding what to do with a negative argument, we assume x is unsigned. Thus, 0 ≤ x ≤ 232 − 1.
Newton’s Method
For floating-point numbers, the square root is almost universally computed by Newton’s method. This method begins by somehow obtaining a starting estimate g0 of
Then, a series of more accurate estimates is obtained from
The iteration converges quadratically—that is, if at some point is accurate to
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.