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Floating-point representation (2011) (toves.org)

Stories related to "Floating-point representation (2011)" across the full archive.

Floating-point representation (2011) (toves.org)
Binary representation of floating-point numbers (trekhleb.dev)
High Performance Correctly Rounded Math Libraries for 32-bit Floating Point Representations (cs.rutgers.edu)
Abstract: "This paper proposes a set of techniques to develop correctly rounded math libraries for 32-bit float and posit types. It enhances our RLibm approach that frames the problem of generating correctly rounded libraries as a linear programming problem in the context of 16-bit types to scale...
Why 0.1 Does Not Exist In Floating-Point (exploringbinary.com)
DEC64: Decimal Floating Point (dec64.com)
What Every Computer Scientist Should Know About Floating-Point Arithmetic (docs.oracle.com)
Herbie: Automatically Improving Floating Point Accuracy (herbie.uwplse.org)
Measuring The Error of Floating Point Programs (alex.uwplse.org)
What Every Computer Scientist Should Know About Floating-Point Arithmetic (web.archive.org)
Beyond Floating Point: Next Generation Computer Arithmetic (youtube.com)
This is a colloquium style talk which presents the idea of the "posit", a possible replacement for IEEE 754 floats. He starts talking about posits at the 15 minute mark.
Floating Point Imprecision: or, why we had to make a regression release (blogs.asterisk.org)
Sometimes Floating Point Math is Perfect (randomascii.wordpress.com)
Fast exact integer divisions using floating-point operations (lemire.me)
Demystifying Floating Point Precision (blog.demofox.org)
Floating (point) butterfly effect: Searching for tiny bugs that cause big problems (blog.esciencecenter.nl)
Herbie: Automatically Improving Floating Point Accuracy (herbie.uwplse.org)
Original paper [here](https://herbie.uwplse.org/pldi15-paper.pdf).
Floating point error is the least of my worries (2011) (johndcook.com)
Symbolic Crosschecking of Floating-Point and SIMD Code (2011) (srg.doc.ic.ac.uk)
Abstract: "We present an effective technique for crosschecking an IEEE 754 floating-point program and its SIMD-vectorized ver- sion, implemented in KLEE-FP, an extension to the KLEE symbolic execution tool that supports symbolic reasoning on the equivalence between floating-point values. ...
Perfect and Fast Random Floating Point Numbers (experilous.com)
Formatting floating point numbers (zverovich.net)
How to Print Floating-Point Numbers Accurately (kurtstephens.com)
DEC64: Decimal Floating Point (dec64.com)
High Performance Correctly Rounded Math Libraries for 32-bit Floating Point Representations (blog.sigplan.org)
Examples of floating point problems (jvns.ca)
Random floating point numbers (dotat.at)
Onboarding floating-point (altdevarts.com)
Herbie: Find and fix floating-point accuracy problems (herbie.uwplse.org)
Double it Like Dekker: A Remarkable Technique to Double Floating Point Precision (youtube.com)
The Simple Beauty of XOR Floating Point Compression (clemenswinter.com)
What Every JavaScript Developer Should Know About Floating Points (flippinawesome.org)