Open AccessJournal Article
Elementary Functions: Algorithms and Implementation
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About: This article is published in Mathematics and Computer Education. The article was published on 01 Jan 2000. and is currently open access. The article focuses on the topics: Elementary function.
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Citations
The Symmetric Table Addition Method for Accurate Function Approximation
James E. Stine,Michael J. Schulte +1 more
- 01 Jun 1999
TL;DR: This method has a closed-form solution for the table entries and can be applied to any differentiable function and requires two to three orders of magnitude less memory than conventional table lookups.
141
Sampling from discrete Gaussians for lattice-based cryptography on a constrained device
TL;DR: The paper surveys algorithms to implement such sampling efficiently, with particular focus on the case of constrained devices with small on-board storage and without access to large numbers of external random bits.
Some improvements on multipartite table methods
F. de Dinechin,Arnaud Tisserand +1 more
- 11 Jun 2001
TL;DR: This paper presents an unified view of most previous table-lookup-and-addition methods: bipartite tables, SBTM, STAM and multipartite methods, with a new definition that allows a more accurate computation of the error entailed by these methods.
Numerical Function Generators Using LUT Cascades
TL;DR: The architecture is based on the lookup table (LUT) cascade, which results in a significant reduction in circuit complexity compared to traditional approaches, suitable for automatic synthesis and a synthesis method that converts a Matlab-like specification into an LUT cascade design is shown.
Theoretical peak FLOPS per instruction set: a tutorial
TL;DR: This tutorial looks into the theoretical peak performance of a CPU in FLOPS for recent fully featured Intel CPUs and other hardware, taking into account not only the simple absolute peak, but also the relevant instruction sets, encoding and the frequency scaling behaviour of modern hardware.
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