Alexandria Library

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Here are some ressources related to Floating-point, Precision, Arithmetic. Hoping you will find learning material, alternative tools or just some interesting stuff.

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Articles

New Playground: Integer.exposed

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Galois field instructions on 2021 CPUs

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Q (Number Format)

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Now I’m calculating with constructive reals

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The Cult of Posits

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NansAreNumbers – An esoteric data type built of NaNs

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High Performance Correctly Rounded Math Libraries for 32-Bit Floating Point

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How to average floating point numbers (2015)

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Forth: Stack-Manipulation Operators

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Ideal divisors: when a division compiles down to just a multiplication

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Toward an API for the Real Numbers

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What Every Computer Scientist Should Know About Floating-Point Arithmetic (1991)

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The Floating-Point Guide (2010)

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Floating point oddity

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The quadratic formula and low-precision arithmetic

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Finite Field Arithmetic, Chapter 2: Logical and Bitwise Operations

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Beating Floating Point at Its Own Game: Posit Arithmetic [pdf]

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If 1+x is 1, how much is 1-x?

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What every computer programmer should know about floating point, part 1

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Why does integer representation of a floating point approximate its logarithm?

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Floats Are Weird

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