fast-arithmetic: Fast functions on integers.

[ algorithms, ats, bsd3, combinatorics, ffi, library, math, number-theory, numerics ] [ Propose Tags ]

Fast functions for number theory and combinatorics with a high level of safety guaranteed by ATS.


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Versions 0.1.0.0, 0.1.0.1, 0.1.0.2, 0.1.0.3, 0.1.0.4, 0.1.0.5, 0.1.0.6, 0.1.0.7, 0.1.1.0, 0.1.1.1, 0.1.1.2, 0.1.1.3, 0.1.1.4, 0.1.1.5, 0.2.0.0, 0.2.0.1, 0.2.1.0, 0.2.2.0, 0.2.2.1, 0.2.2.2, 0.2.2.3, 0.2.3.0, 0.2.3.1, 0.2.3.2, 0.3.0.0, 0.3.0.1, 0.3.0.2, 0.3.0.3, 0.3.1.0, 0.3.2.0, 0.3.2.1, 0.3.2.4, 0.3.2.5, 0.3.2.6, 0.3.3.0, 0.3.3.1, 0.3.3.2, 0.3.3.3, 0.3.3.4, 0.3.3.5, 0.3.3.6, 0.3.3.7, 0.4.0.0, 0.5.0.0, 0.6.0.1, 0.6.0.2, 0.6.0.3, 0.6.0.4, 0.6.0.5, 0.6.0.6, 0.6.0.7, 0.6.0.8, 0.6.0.9
Dependencies base (>=4.10 && <5), composition-prelude, gmpint [details]
License BSD-3-Clause
Copyright Copyright: (c) 2018 Vanessa McHale
Author Vanessa McHale
Maintainer vamchale@gmail.com
Revised Revision 1 made by vmchale at Sat Mar 31 17:06:16 UTC 2018
Category Numerics, Math, Algorithms, Number Theory, Combinatorics, FFI, ATS
Home page https://github.com/vmchale/fast-arithmetic#readme
Source repo head: git clone git@github.com:vmchale/fast-arithmetic.git
Uploaded by vmchale at Sat Mar 3 07:51:01 UTC 2018
Distributions NixOS:0.6.0.7
Downloads 3061 total (596 in the last 30 days)
Rating 2.0 (votes: 1) [estimated by rule of succession]
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Status Docs not available [build log]
All reported builds failed as of 2018-03-03 [all 3 reports]
Hackage Matrix CI

Modules

  • Numeric
    • Numeric.Combinatorics
    • Numeric.Integer
    • Numeric.NumberTheory
    • Numeric.Pure

Flags

NameDescriptionDefaultType
development

Enable -Werror and don't clean ATS libraries between builds.

DisabledManual

Use -f <flag> to enable a flag, or -f -<flag> to disable that flag. More info

Downloads

Note: This package has metadata revisions in the cabal description newer than included in the tarball. To unpack the package including the revisions, use 'cabal get'.

Maintainer's Corner

For package maintainers and hackage trustees


Readme for fast-arithmetic-0.3.3.2

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fast-arithmetic

Build Status

This is a library for fast arithmetical functions using ATS, with a Haskell wrapper.

It is intended to supplement (but not replace) arithmoi and combinat where speed is important. In particular, this library provides a fast primality check and fast computation of basic combinatorial functions.

Benchmarks

| Computation | Version (ATS/Haskell) | Time | | ----------- | --------------------- | ---- | | isPrime 2017 | ATS | 118.9 ns | | isPrime 2017 | Haskell | 497.3 ns | | φ(2016) | ATS | 230.1 ns | | φ(2016) | Haskell | 402.8 ns | | τ(3018) | ATS | 438.5 ns | | τ(3018) | Haskell | 726.4 ns | | σ(115) | ATS | 38.37 ns | | σ(115) | Haskell | 310.0 ns | | ω(91) | ATS | 66.59 ns | | ω(91) | Haskell | 338.6 ns | | 160! | ATS | 4.081 μs | | 160! | Haskell | 6.032 μs | | 79!! | ATS | 813.8 ns ns | | 79!! | Haskell | 1.395 μs | | 322 `choose` 16 | ATS | 629.8 ns | | 322 `choose` 16 | Haskell | 1.046 μs |

See here for more.

Building

The Haskell library comes with the C bundled, however you will likely want to build from source if you are hacking on the library. To that end, you can install atspkg, and build with

 $ atspkg build

Documentation

You can find documentation for the Haskell library on Hackage. Unfortunately, there is no documentation for the ATS library, however, the bundled source code is commented.