fast-arithmetic: Fast functions on integers.

Versions [RSS]	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, 0.6.1.1, 0.6.2.0, 0.6.2.2, 0.6.2.3, 0.6.3.0, 0.6.4.0, 0.6.4.1, 0.6.4.2, 0.6.4.3, 0.6.5.0, 0.6.5.1, 0.6.6.0, 0.6.7.0
Change log	CHANGELOG.md
Dependencies	arithmoi (>=0.9.0.0), base (>=4.10 && <5), combinat, hgmp [details]
Tested with	ghc ==8.2.2, ghc ==8.4.4, ghc ==8.6.5, ghc ==8.8.4, ghc ==8.10.7, ghc ==9.0.2, ghc ==9.2.1
License	BSD-3-Clause
Copyright	Copyright: (c) 2018-2021 Vanessa McHale
Author	Vanessa McHale
Maintainer	vamchale@gmail.com
Category	Numerics, Math, Algorithms, Number Theory, Combinatorics, FFI, ATS
Bug tracker	https://github.com/vmchale/hs-ats/issues
Source repo	head: git clone git@github.com:vmchale/hs-ats.git
Uploaded	by vmchale at 2022-01-17T21:07:50Z
Distributions
Reverse Dependencies	1 direct, 0 indirect [details]
Downloads	33600 total (156 in the last 30 days)
Rating	2.0 (votes: 1) [estimated by Bayesian average]
Your Rating	λ λ λ
Status	Docs uploaded by user Build status unknown [no reports yet]

Readme for fast-arithmetic-0.6.7.0

[back to package description]

fast-arithmetic

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	117.2 ns
`isPrime 2017`	Haskell	425.0 ns
`φ(2016)`	ATS	191.5 ns
`φ(2016)`	Haskell	384.8 ns
`τ(3018)`	ATS	337.0 ns
`τ(3018)`	Haskell	660.2 ns
`σ(115)`	ATS	45.41 ns
`σ(115)`	Haskell	322.4 ns
`ω(91)`	ATS	65.52 ns
`ω(91)`	Haskell	345.2 ns
`160!`	ATS	2.363 μs
`160!`	Haskell	6.134μs
`79!!`	ATS	556.2 ns
`79!!`	Haskell	1.355 μs
322 `choose` 16	ATS	467.6 ns
322 `choose` 16	Haskell	956.7 ns
`catalan 300`	ATS	13.74 μs
`catalan 300`	Haskell	28.76 μs
`permutations 20 10`	ATS	202.8 ns
`permutations 20 10`	Haskell	362.6 ns
`maxRegions 45000`	ATS	624.1 ns
`maxRegions 45000`	Haskell	1.064 μs
`stirling2 25 8`	ATS	3.108 μs
`stirling2 25 8`	Haskell	9.494 μs

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 --pkg-args "./source.dhall"
cabal 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.