Floating-point

Will it float?

A way for computer to represent real numbers. The standard format is the IEEE 754 and it's the one this page care about. The format data in a number is split into three parts.

sign: Always a single bit.

exponent

significand

There are three common sizes of numbers.

Single (float): 32 bit.

Double (double): 64 bit.

Special values:

- Zero

- Infinity

- NaN

Reference

• Small float formats – R11G11B10F precision - 2017
• Floating Point Visually Explained - 2017
• Learning To Wrangle Half-Floats - 2016
• Five Tips for Floating Point Programming - 2014
• Floating Point - Theory and Practice - 2013
• Floating-Point Determinism - 2013
• Exceptional Floating Point - 2012
• You're Going To Have To Think! - 2010
• Floating Point Determinism - 2010
• Visualizing Floats - 2009
• Floating Point Fun and Frolics - 2009
• IEEE floating-point exceptions in C++ - 2009
• Anatomy of a floating point number - 2009
• Floating point numbers are a leaky abstraction - 2009
• Consistency: how to defeat the purpose of IEEE floating point - 2008
• Lossless Compression of Floating-Point Geometry - 2004
• What Every Computer Scientist Should Know About Floating-Point Arithmetic - 1991
• FP Exceptions

Floating-Point Formats Cheatsheet

http://asawicki.info/news_1541_floating-point_formats_cheatsheet.html

Demystifying Floating Point Precision - 2017

Making floating point numbers smaller

Reverse Z Cheat Sheet

Fixing Camera Shake on Single Precision GPUs

Demystifying Floating Point Precision - 2017

https://blog.demofox.org/2017/11/21/floating-point-precision/

Quantizing floats

https://zeux.io/2010/12/14/quantizing-floats/