hTensor alternatives and similar packages
Based on the "Math" category.
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vector
An efficient implementation of Int-indexed arrays (both mutable and immutable), with a powerful loop optimisation framework . -
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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. The main two focusses are: (1) Strong type safety, and (2) implementations of geometric algorithms and data structures that have good asymptotic running time guarantees. -
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dimensional
Dimensional library variant built on Data Kinds, Closed Type Families, TypeNats (GHC 7.8+). -
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numhask
A haskell numeric prelude, providing a clean structure for numbers and operations that combine them. -
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poly
Fast polynomial arithmetic in Haskell (dense and sparse, univariate and multivariate, usual and Laurent) -
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eigen
Haskel binding for Eigen library. Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms.
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README
hTensor
A Haskell package for multidimensional arrays, simple tensor computations and multilinear algebra.
Array dimensions have an "identity" which is preserved in data manipulation. Indices are explicitly selected by name in expressions, and Einstein's summation convention for repeated indices is automatically applied.
The library has a purely functional interface: arrays are immutable, and operations work on whole structures which can be assembled and decomposed using simple primitives. Arguments are automatically made conformable by replicating them along extra dimensions appearing in an operation.
There is preliminary support for geometric algebra, multidimensional linear systems of equations, and tensor decompositions.
Application to Multiview Geometry:
- part 1: tensor diagrams
- part 2: (in construction)
Installation
$ sudo apt-get install haskell-platform libgsl0-dev liblapack-dev
$ cabal update
$ cabal install hTensor
Test
$ ghci
> import Numeric.LinearAlgebra.Exterior
> printA "%4.0f" $ leviCivita 4 !"pqrs" * cov (leviCivita 4)!"qrsu"
p^4 x u_4
u
-6 0 0 0
p 0 -6 0 0
0 0 -6 0
0 0 0 -6