By Danny Kodicek
Many programmers usually have constrained backgrounds within the arithmetic and physics wanted for video game improvement or different advanced purposes. ultimately, all programmers run into coding concerns that may require an knowing of arithmetic or physics options like collision detection, 3D vectors, modifications, online game concept, or simple calculus. This booklet offers an easy yet thorough grounding within the arithmetic and physics issues that programmers have to write those algorithms and courses, utilizing a non-language-specific strategy. purposes and examples from online game programming are incorporated all through, and workout units stick with every one bankruptcy for added perform of the concepts.
Key positive aspects:
• Presents mostly encountered mathematical and physics recommendations equivalent to vector movement, collision detection, angular physics, video game concept, man made intelligence, Bezier curves, and so forth.
• Illustrates innovations via a non-language-specific strategy, utilizing pseudo-code, that makes the ebook both worthwhile for someone from C++ programmers to Macromedia™ Flash ActionScript coders
• Create actual simulations, tile-based, and maze video games utilizing the innovations mentioned within the booklet
• Uses pedagogical units corresponding to: a word list of phrases, workout units, bankruptcy outlines, and bankruptcy summaries to aid grasp the cloth
Read or Download Mathematics and Physics for Programmers (Game Development Series) PDF
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Extra info for Mathematics and Physics for Programmers (Game Development Series)
In order to avoid worrying about programming style, all code examples in this book are presented as pseudocode. This is a generic term that means different things to different people, but in this book it means a fairly detailed version of the code, written in a human-readable language. The pseudocode of this book is essentially a programming language written for a human interpreter rather than a computer one. Occasionally some “book work” parts of the code are left out in order to concentrate on the important points.
To find the prime factors of an arbitrary number n, the only absolutely reliable way is simply to keep dividing it by prime numbers until you find one. Of course, this can be a slow process for large numbers, but it’s not too bad for small ones, especially if you have already generated a list of primes. Here’s a function that will do it. function primeFactors(n) // create a list of possible primes set plist to listOfPrimes(floor(n/2)) set rlist to a blank array set index to 1 repeat while index <= the number of elements in plist set prime to plist[index] if n is divisible by prime then set n to n/prime add prime to rlist otherwise add 1 to index end if end repeat return rlist end function When people are searching for extremely large primes (as they often do for cryptographic or other purposes), they don’t use this method, as it would take an unfeasibly long time even on a very fast computer.
Converting between binary and hexadecimal is quite simple, since each hexadecimal symbol can be translated directly into four binary symbols: F1A translates to 1111 0001 1010. HOW COMPUTERS REPRESENT NUMBERS The binary system is at the heart of how numbers are represented on a computer. We’re now going to look at how this is done, and how the computer processes the numbers. Representing Integers Because binary can be conveniently represented by two symbols, On and Off, it’s an ideal system for computers to use.