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By Susan McVey - 2004-03-26Page: 1 23
Hacker's Delight
by Henry S. Warren, Jr. Addison Wesley, 2002 ISBN: 0-201-91465-4 Cover Price: US$39.99 306 Pages | (68 K) |
Hacker's Delightby Henry S. Warren Jr. is a delight indeed. Despite its title, thisvolume of mathematical programming tricks has nothing to do withbreaking into other people's computers. Warren is a hacker in theoriginal sense of the word: someone who enjoys writing clever code andfinding elegant solutions to computing problems. He discovered many ofthe tricks and methods he presents in the book during a forty-yearcareer working on compilers and computer architecture with IBM'sResearch Division. His collection of code snippets and equations rangefrom basic arithmetic operations to sophisticated mathematics.
Computer math may not be a subject that appeals to abroad range of readers, but this book is a gold mine of useful methodsand information for those who are interested. The engineer writing acompiler, a math library, or any highly optimized code will find thebook indispensable. Anyone familiar with assembly language will findthe book accessible and interesting. It can be read from front to back,used as a reference, or enjoyed in the manner Guy Steele describes inhis foreword to the book: 'Devouring these little programming nuggetswas like eating peanuts, or rather bonbons -- I just couldn't stop --and there was a certain richness to them, a certain intellectual depth,elegance, even poetry.'
The book begins by giving a set of formulas for simple operations that one might encounter in the course of writing assembly-level programs. For example, the fastest way to determine whether an unsigned integer is a power of 2 is:
x & (x-1)
If x is a power of two, the expression evaluates to zero; for other numbers it is nonzero. This section of the book can take days to finish because, for the reader who enjoys recreational bit-wrangling, it is tempting to take a pencil and test each of Warren's assertions. https://pediarenew408.weebly.com/download-game-hacker-root.html. Like many of Warren's formulas, x & (x-1) is not an obvious solution at first glance, but once you work through it and look at the bits, you can see that it works. In this instance, I tried 8 (a power of 2) and 6 (not a power of 2):
The book goes on to give formulas for counting the 1-bits in a word,isolating the rightmost 1-bit, flipping the rightmost contiguous stringof 1-bits, shifting and propagating bits, reversing the order of bitsand bytes, transposing a matrix, and so on. More than half the book isa collection of methods for doing basic calculations efficiently. Codeexamples are given either in C or in a simplified assembly language thebook defines for 32-bit RISC machines.
Page: 1 23Next Page: Code for Simple to Complex Mathematical Operations
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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.' --Josh Bloch (Praise for the first edition) In Hacker’s Delight, Second Edition, Hank Warren once again compiles an irresistible collection of programming hacks: timesaving techniques, algorithms, and tricks that help programmers build more elegant and efficient software, while also gaining deeper insights into their craft. Warren’s hacks are eminently practical, but they’re also intrinsically interesting, and sometimes unexpected, much like the solution to a great puzzle. They are, in a word, a delight to any programmer who is excited by the opportunity to improve. Extensive additions in this edition include A new chapter on cyclic redundancy checking (CRC), including routines for the commonly used CRC-32 code A new chapter on error correcting codes (ECC), including routines for the Hamming code More coverage of integer division by constants, including methods using only shifts and adds Computing remainders without computing a quotient More coverage of population count and counting leading zeros Array population count New algorithms for compress and expand An LRU algorithm Floating-point to/from integer conversions Approximate floating-point reciprocal square root routine A gallery of graphs of discrete functions Now with exercises and answers
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In Hacker's Delight, Second Edition, Hank Warren once again compiles an irresistible collection of programming hacks: timesaving techniques, algorithms, and tricks that help programmers build more elegant and efficient software, while also gaining deeper insights into their craft. Warren's hacks are eminently practical, but they're also intrinsically interesting, and sometimes unexpected, much like the solution to a great puzzle. They are, in a word, a delight to any programmer who is excited by the opportunity to improve. Extensive additions in this edition include A new chapter on cyclic redundancy checking (CRC), including routines for the commonly used CRC-32 code A new chapter on error correcting codes (ECC), including routines for the Hamming code More coverage of integer division by constants, including methods using only shifts and adds Computing remainders without computing a quotient More coverage of population count and counting leading zeros Array population count New algorithms for compress and expand An LRU algorithm Floating-point to/from integer conversions Approximate floating-point reciprocal square root routine A gallery of graphs of discrete functions Now with exercises and answers.
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