mfsolve alternatives and similar packages
Based on the "Math" category.
Alternatively, view mfsolve alternatives based on common mentions on social networks and blogs.

vector
An efficient implementation of Intindexed arrays (both mutable and immutable), with a powerful loop optimisation framework . 
statistics
A fast, high quality library for computing with statistics in Haskell. 
HerbiePlugin
GHC plugin that improves Haskell code's numerical stability 
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. 
computationalalgebra
GeneralPurpose Computer Algebra System as an EDSL in Haskell 
mwcrandom
A very fast Haskell library for generating high quality pseudorandom numbers. 
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. 
cf
"Exact" real arithmetic for Haskell using continued fractions (Not formally proven correct) 
optimization
Some numerical optimization methods implemented in Haskell 
poly
Fast polynomial arithmetic in Haskell (dense and sparse, univariate and multivariate, usual and Laurent) 
safedecimal
Safe and very efficient arithmetic operations on fixed decimal point numbers 
equationalreasoning
Agdastyle equational reasoning in Haskell 
eigen
Haskel binding for Eigen library. Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms. 
polynomial
Haskell library for manipulating and evaluating polynomials 
monoidsubclasses
Subclasses of Monoid with a solid theoretical foundation and practical purposes 
diagramssolve
Miscellaneous solver code for diagrams (lowdegree polynomials, tridiagonal matrices)
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README
MFSolve
MFSolve is an equation solver that solves and evaluates expressions on the fly. It is based on Prof. D.E.Knuth's metafont. The goal of mfsolve is to make the solver useful in an interactive program, by enhancing the bidirectionality of the solver. Like metafont, it can solve linear equations, and evaluate nonlinear expressions. In addition to metafont, it also solves for angles, and makes the solution independend of the order of the equations.
The Expr
type allows for calculations with constants and unknown
variables.
Examples:
Let's define some variables. The SimpleVar
type is a simple wrapper
around String
to provide nice output. The Dependencies
datatype
contains all dependencies and known equations.
let [x, y, t, a] = map (makeVariable . SimpleVar) ["x", "y", "t", "a"]
Solve linear equations:
showVars $ solveEqs emptyDeps
[ 2*x + y === 5,
x  y === 1]
x = 2.0
y = 1.0
Solve for angle (pi/4):
showVars $ solveEqs emptyDeps
[ sin(t) === 1/sqrt(2) ]
t = 0.7853981633974484
Solve for angle (pi/3) and amplitude:
showVars $ solveEqs emptyDeps
[ a*sin(x) === sqrt 3,
a*cos(x) === 1 ]
x = 1.0471975511965979
a = 2.0
Allow nonlinear expression with unknown variables:
showVars $ solveEqs emptyDeps
[ sin(sqrt(x)) === y,
x === 2]
x = 2.0
y = 0.9877659459927355
Find the angle and amplitude when using a rotation matrix:
showVars $ solveEqs emptyDeps
[ a*cos t*x  a*sin t*y === 30,
a*sin t*x + a*cos t*y === 40,
x === 10,
y === 10 ]
x = 10.0
y = 10.0
t = 0.14189705460416402
a = 3.5355339059327373