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