Resources

An assortment of articles, papers and books that provide insight into how to approach floating point numerics and error analysis.

• The Art of Computer Programming Vol. 2: Seminumerical Algorithms, p214-283 - on the accuracy of floating point.
• Comparing Floating Point Numbers, 2012 Edition - the rest of this series is very good, too.
• Converting Integers to Floats Using Hyperfocus
• Demystifying Floating Point Precision
• Floating-Point Questions Are Endless on stackoverflow.com
• Floating point error
• Float toy - a fantastic little demo page for gaining an insight into what the bits in a floating point number represent.
• IEEE Standard 754 Floating Point Numbers
• Interval arithmetic
• Loss of significance
• Miscalculating Area and Angles of a Needle-like Triangle
• Numerical Computing with IEEE Floating Point Arithmetic
• Numerical Stability
• On the dynamical stability of Principia's modified Jool system
• Posit: thin triangle other tricks (REVEALED!)
• Round-off/Truncation Errors & Numerical Cancellation
• Sterbenz lemma
• Truncation error
• What Every Computer Scientist Should Know About Floating-Point Arithmetic - a comprehensive mathematical treatment.
• What Every Programmer Should Know About Floating-Point Arithmetic - a useful introductory guide with cheat sheets for common programming languages.
• What is Numerical Stability?
• Why 0.1 Does Not Exist In Floating-Point