About

FsChebfun is a port of Chebfun, the open-source software system for numerical computing with functions, from MATLAB to F#. Its current abilities are minimal, but are intended to grow to include, at least, inversion of monotonic functions, differentiation, and integration, allowing for some modest but still powerful statistical analyses.

Structure

For now, a test-driven development paradigm has been used to add functionality to this project. Currently, we have a passing test_constructor_basic from Chebfun by implementing the following types and their constructors in chebfun.fs.

• chebtech2
  • chebpts
  • barywts
  • clenshaw
  • feval
  • refine
  • extrapolate
  • vals2coeffs
  • coeffs2vals
  • alias
  • happinessCheck
  • simplify
• mapping
  • linear
• bndfun
  • createMap
  • feval
• chebfun
  • feval

Detailing the available codebase here should be discontinued once the structure of the source and its documentation is enhanced.

Usage

The test methods in test_chebfun.fs detail some of the usage of the chebfun constructor.

let f = chebfun( fun x -> Math.Exp(-x) , [|-1.0 ; 1.0|])

While function composition, max, plotting, and root-finding will not be primary priorities for this project, great power should still derived from chebfun creation from MATLAB-style "anonymous" function in F#, as above. Creating a PDF from values on equispaced points and inverting their CDF is a long-term goal of this project.

License

See LICENSE.md for FsChebfun's licensing information.