Welcome to OGeek Q&A Community for programmer and developer-Open, Learning and Share
Welcome To Ask or Share your Answers For Others

Categories

0 votes
1.2k views
in Technique[技术] by (71.8m points)

math - What is the fastest algorithm for division of crazy large integers?

I need to divide numbers represented as digits in byte arrays with non standard amount of bytes. It maybe 5 bytes or 1 GB or more. Division should be done with numbers represented as byte arrays, without any conversions to numbers.

See Question&Answers more detail:os

与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…
Welcome To Ask or Share your Answers For Others

1 Reply

0 votes
by (71.8m points)

Divide-and-conquer division winds up being a whole lot faster than the schoolbook method for really big integers.

GMP is a state-of-the-art big-number library. For just about everything, it has several implementations of different algorithms that are each tuned for specific operand sizes.

Here is GMP's "division algorithms" documentation. The algorithm descriptions are a little bit terse, but they at least give you something to google when you want to know more.

Brent and Zimmermann's Modern Computer Arithmetic is a good book on the theory and implementation of big-number arithmetic. Probably worth a read if you want to know what's known.


与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…
OGeek|极客中国-欢迎来到极客的世界,一个免费开放的程序员编程交流平台!开放,进步,分享!让技术改变生活,让极客改变未来! Welcome to OGeek Q&A Community for programmer and developer-Open, Learning and Share
Click Here to Ask a Question

...