An overview of different Haskell numeric libraries. This is intended to be a place to compare different numeric libraries by their ease of use, performance and more.
Libraries are categorised and you should compare the libraries in the same category with each other.
Pull requests are welcome if you want to add a library!
These overviews include:
An efficient implementation of Int-indexed arrays (both mutable and immutable), with a powerful loop optimisation framework.
Example code:
let x = fromList [0..5]
length x -- 6
null x -- False
-- Indexing
x ! 1 -- 1
head x -- 0
last x -- 5
-- Slicing
slice 2 3 x -- [2, 3, 4]
splitAt 2 x -- ([0, 1], [2, 3, 4, 5])
-- Prepending and Appending
cons (-1) x -- [-1, 0, 1, 2, 3, 4, 5]
snoc x 6 -- [0, 1, 2, 3, 4, 5, 6]
-- Concatenation
x ++ x -- [0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5]
concat [x, x] -- [0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5]
-- Update
x // [(0, 1), (2, 6)] -- [1, 1, 6, 3, 4, 5]
map (+2) x -- [2, 3, 4, 5, 6, 7]
hmatrix is a linear algebra library and matrix computations.
Example code:
-- Creating matrices
let x = (2><2) [0..3] :: Matrix Double
x -- [ 0.0, 1.0
-- , 2.0, 3.0 ]
let y = fromLists [[0, 1], [2, 3]] :: Matrix Double
-- Random matrices
r <- randn 2 3
r -- [ 0.7764496757867578, 1.246311658930589, -0.684233085372455
-- , -2.540045307941425, -0.20975584071908912, -9.039537343065803e-3 ]
-- Matrix multiplication
x <> y -- [ 2.0, 3.0
-- , 6.0, 11.0 ]
-- Transpose
tr x -- [ 0.0, 2.0
-- , 1.0, 3.0 ]
-- Matrix slicing
r ?? (All, Take 2) -- [ 0.7764496757867578, 1.246311658930589
-- , -2.540045307941425, -0.20975584071908912 ]
-- Mapping over matrices
cmap ((+ 2) . (*2)) x -- [ 2.0, 4.0
-- , 6.0, 8.0 ]
-- Flatten
flatten x -- [0.0, 1.0, 2.0, 3.0]
Notes:
Data.Vector.Storable
)Links: Hackage . GitHub . Homepage
hmatrix is a linear algebra library and matrix computations.
Example code:
-- Creating matrices
r <- randn 2 2
r -- [ 0.7668461757288327, 0.5573308002071669
-- , -0.7412791132378888, 1.001032678483079 ]
-- SVD
(u, s, v) = svd r
(u, s, v) = thinSVD r
eigenvalues r
singularValues r
nullspace r
orthogonal r
determinant r
Notes:
Data.Vector.Storable
)Links: Hackage . GitHub . Homepage