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. This package also provides a Storable instance for GMP's mpz type.

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Dependencies base (>=4.7 && <5), composition-prelude (<, foundation (<0.0.18), integer-gmp, recursion-schemes [details]
License BSD-3-Clause
Copyright Copyright: (c) 2018 Vanessa McHale
Author Vanessa McHale
Revised Revision 2 made by vmchale at 2018-03-29T05:24:28Z
Category Numerics, Math, Algorithms, Number Theory, Combinatorics, FFI, ATS
Home page
Source repo head: git clone
Uploaded by vmchale at 2018-01-11T19:02:44Z
Distributions NixOS:
Downloads 28771 total (1005 in the last 30 days)
Rating 2.0 (votes: 1) [estimated by Bayesian average]
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Status Hackage Matrix CI
Docs available [build log]
Last success reported on 2018-01-13 [all 1 reports]



Manual Flags


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

Automatic Flags

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


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-

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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 where speed is important. In particular, this library provides a fast primality check.


Computation Version (ATS/Haskell) Time
isPrime 2017 ATS 118.9 ns
isPrime 2017 Haskell 497.3 ns
φ(2016) ATS 5.574 μs
φ(2016) Haskell 177.3 μs
τ(3018) ATS 7.962 μs
τ(3018) Haskell 35.87 μs
ω(91) ATS 282.1 ns
ω(91) Haskell 1.194 μs
1000! ATS 93.03 μs
1000! Haskell 117.1 μs
89!! ATS 849.2 ns
89!! Haskell 1.899 μs
322 `choose` 16 ATS 629.0 ns
322 `choose` 16 Haskell 1.801 μs


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 stack, patsopt, and pats-filter and build with

 $ ./shake.hs

You will also likely want to install GHC as well as cabal.


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.