Future development

Future development

This page describes the work-in-progress features of MathicallJS, as well as proposed features that are likely to appear in future.

Work in progress

General

• Developer guide
• Full debug implementation
• Full unit tests
• Update and complete documentation
• Code cleanup: comments and formatting
• Provide example in README

Arrays

• Intersection, difference and symmetric difference (intersect(), diff(), symdiff())
• Sorting

Matrices

• Optimised matrix and matrix-vector multiplication for 2x2, 3x3 and 4x4 matrices
• Get rows (rows()) or columns (cols()) of a matrix

Statistics

• Median

Proposed features

General

• Unit tests for debug mode
• Availability as an npm package
• Async, GPU and web-worker support, with Node.js compatability
• Examples directory
• Benchmark testing suite
• GitHub pages site for API documentation
• Polyfills
• Cascading options (e.g. outputArrayType, enableDebug)

Standard operations

• Accurate _n_th root algorithm

Vectors

• Better support for polar form
• Quaternions

Matrices

• Row reduction (rref)
• Determinant for >2D matrices
• Inversion of >2D matrices
• Complex matrices
• Sparse matrices
• Eigenvalues/vectors
• Integer powers of matrices ( pow(mat, n) )
• Cofactors and cofactor matrix

Integers

• Prime number generation
• Primality checking
• Prime factorisations
• Factors

Random numbers

• Wider range of uniform generators (Xorshift*, permuted congruential, linear congruential, etc.)
• Bernoulli, binomial, geometric, negative binomial, Poisson and Gaussian distributions
• Sphere sampling
• Worley noise
• OpenSimplex noise

Arrays

• Shuffling
• Concatenate typed arrays
• Optimise maximum linear search length
• Multidimensional arrays
• Optional parameter in indexOf to find last (instead of first) occurrence.

Numerical calculations

• Definite integrals
• Iterative equation solving
• Numerical optimisation

Statistics

• Linear regression
• Normal, Bernoulli, binomial, geometric, negative binomial, Poisson and Gaussian distributions

Signal (new)

• Fast Fourier transform
• Array convolution

Symbolic (new)

• Expression evaluation to value or function
• Equation solving
• Derivatives & integrals
• Support for LaTeX & AsciiMath

Colour (new)

• Conversion between colour spaces

Interpolate (new)

• Bilinear interpolation