Floating Point Numerics for Games and Simulations

Floating point is ubiquitous in computers, where it is the default way to represent non-integer numbers. However, few people understand it. We all see weird behavior sometimes, and many programmers treat it as a mystical and imprecise system of math that just works until it sometimes doesn't.

Autorentext

Nima Badizadegan is an engineer who works at the intersection of computer systems and mathematics. His past experience includes work at Google and on Wall Street, as well as being a consultant and startup founder. Badizadegan has several publications in the fields of simulation and computer arithmetic and is the inventor of over 10 patents. He is a member of the IEEE and ACM and contributes to the IEEE 754 floating point standard. He is the author of the popular technical blog Speculative Branches (https://specbranch.com), where he writes about computer systems, software engineering, and math.

Inhalt

1 Computing with Numbers, 2 Numbers in Floating Point, 3 Sources of Error, 4 The Basic Arithmetic Operations, 5 Comparing Floating-Point Numbers, 6 Conversion to and from Floating Point, 7 Numerical Operations, 8 Bitwise Manipulations, 9 Working with Error in Floating Point, 10 Function Approximation, 11 Geometry in Floating Point, 12 Numerical Integration