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Mathematics: Randomness


Implementing High-Quality PRNG on GPUs

Wai-Man Pang, Tien-Tsin Wong, and Pheng-Ann Heng
ShaderX5, 2006.

Safe Random Number Systems

Shekhar Dhupelia
Game Programming Gems 5, 2005.

The Statistics of Random Numbers

James Freeman-Hargis
AI Game Programming Wisdom 2, 2003.
Abstract: Random numbers are used most heavily by Artificial Intelligence and games in general. To ignore their potential is to make the game predictable and boring. Using them incorrectly can be just as bad as ignoring them outright. Understanding how random numbers are generated, their limitations and their capabilities, can remove many difficulties of using them in your game. This article offers insight into random numbers, their generation, and methods to separate good ones from bad.

Filtered Randomness for AI Decisions and Game Logic

Steve Rabin (Nintendo of America)
AI Game Programming Wisdom 2, 2003.
Abstract: Conventional wisdom suggests that the better the random number generator, the more unpredictable your game will be. However, according to psychology studies, true randomness over the short term often looks decidedly unrandom to humans. This article shows how to make random AI decisions and game logic look more random to players, while still maintaining strong statistical randomness. Full source code, ready to drop into your game, is supplied on the book's CD-ROM.

Genuine Random Number Generation

Pete Isensee (Microsoft)
Game Programming Gems 2, 2001.

Predictable Random Numbers

Guy W. Lecky-Thompson
Game Programming Gems, 2000.

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