Engineering

Preface.


1. Introduction.

2. Basis.

3. Power-of-2 Boundaries.

4. Arithmetic Bounds.

5. Counting Bits.

6. Searching Words.

7. Rearranging Bits and Bytes.

8. Multiplication.

9. Integer Division.

10. Integer Division by Constants.

11. Some Elementary Functions.

12. Unusual Bases for Number Systems.

13. Gray Code.

14. Hilbert's Curve.

15. Floating-Point.

16. Formulas for Primes.

Appendix A. Arithmetic Tables for a 4-Bit Machine.


Appendix B. Newton's Method.


Bibliography.


Index. 0201914654T08282002

Computer and Mathematical Methods  [OTHER TITLES OF INTEREST]   (Electrical and Computing Engineering)

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Henry S. Warren, Jr., has had a forty-year career with IBM, spanning from the IBM 704 to the PowerPC. He has worked on various military command and control systems and on the SETL project under Jack Schwartz at New York University. Since 1973 he has been with IBM's Research Division, focusing on compilers and computer architectures. Hank currently works on the Blue Gene petaflop computer project. He received his Ph.D. in computer science from the Courant Institute at New York University.

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"This is the first book that promises to tell the deep, dark secrets of computer arithmetic, and it delivers in spades. It contains every trick I knew plus many, many more. A godsend for library developers, compiler writers, and lovers of elegant hacks, it deserves a spot on your shelf right next to Knuth."

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These are the timesaving techniques relished by computer hackers--those devoted and persistent code developers who seek elegant and efficient ways to build better software. The truth is that much of the computer programmer's job involves a healthy mix of arithmetic and logic. In Hacker's Delight, veteran programmer Hank Warren shares the tricks he has collected from his considerable experience in the worlds of application and system programming. Most of these techniques are eminently practical, but a few are included just because they are interesting and unexpected. The resulting work is an irresistible collection that will help even the most seasoned programmers better their craft.

Topics covered include:

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• Gray code
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