computational-algebra alternatives and similar packages
Based on the "Math" category.
Alternatively, view computational-algebra alternatives based on common mentions on social networks and blogs.
-
vector
An efficient implementation of Int-indexed arrays (both mutable and immutable), with a powerful loop optimisation framework . -
-
-
-
hgeometry
HGeometry is a library for computing with geometric objects in Haskell. It defines basic geometric types and primitives, and it implements some geometric data structures and algorithms. -
dimensional
Dimensional library variant built on Data Kinds, Closed Type Families, TypeNats (GHC 7.8+). -
-
numhask
A haskell numeric prelude, providing a clean structure for numbers and operations that combine them. -
-
-
-
-
poly
Fast polynomial arithmetic in Haskell (dense and sparse, univariate and multivariate, usual and Laurent) -
-
-
eigen
Haskel binding for Eigen library. Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms.
InfluxDB - Purpose built for real-time analytics at any scale.
* Code Quality Rankings and insights are calculated and provided by Lumnify.
They vary from L1 to L5 with "L5" being the highest.
Do you think we are missing an alternative of computational-algebra or a related project?
README
Computational Algebra Library
For more detail, please read Official Project Site.
Overview
The computational-algebra is the computational algebra system, implemented as a Embedded Domain Specific Language (EDSL) in Haskell.
This library provides many functionality for computational algebra, especially ideal computation such as Groebner basis calculation.
Thanks to Haskell's powerful language features, this library achieves the following goals:
Type-Safety : Haskell's static type system enforces static correctness and prevents you from violating invariants.
Flexibility : With the powerful type-system of Haskell, we can write highly abstract program resulted in easy-to-extend system.
Efficiency : Haskell comes with many aggressive optimization mechanism and parallel computation features, which enables us to write efficient program.
This package currently provides the following functionalities:
- Groebner basis calculation w.r.t. arbitrary monomial ordering
- Currently using Buchberger's algorithm with some optimization
- Faugere's F_4 algorithms is experimentally implemented, but currently not as fast as Buchberger's algorithm
- Computation in the (multivariate) polynomial ring over arbitarary field and its quotient ring
- Ideal membership problem
- Ideal operations such as intersection, saturation and so on.
- Zero-dimensional ideal operation and conversion via FGLM algorithm
- Variable elimination
- Find numeric solutions for polynomial system with real coefficient
Requirements and Installation
Old version of this package is uploaded on Hackage, but it's rather outdated.
Most recent version of computational-algebra is developed on GitHub.
It uses the most agressive language features recently implemented in Glasgow Haskell Compiler, so it requires at least GHC 8.0.1 and also it depends on many packages currently not available on Hackage, but you can install it fairly easily with help of The Haskell Tool Stack.
$ curl -sSL https://get.haskellstack.org/ | sh
# if you haven't install Stack yet
$ git clone https://github.com/konn/computational-algebra
$ cd computational-algebra
$ stack build
In addition, you may need to install GSL and LAPACK (for matrix computation) beforehand.
You can install them via Homebrew (OS X), apt-get, or other major package management systems.
Paper
- Hiromi Ishii, A Purely Functional Computer Algebra System Embedded in Haskell. Computer Algebra in Scientific Computing, pp. 288-303. 20th International Workshop, CASC 2018, Lille, France, September 17-21, 2018, Proceedings (arXiv).