rugheid/swift-matheagle

A general math framework to make using math easy. Currently supports function solving and optimisation, matrix and vector algebra, complex numbers, big int, big frac, big rational, graphs and general handy extensions and functions.

swift-matheagle's Issues

Combinatorics routines

• Permutations / combinations iterators
• gamma function
• integer / fixed set partitions
• calculating the parity of a permutation

Swift 3 compatibility

Hey, I'd love to see this lib available in Swift 3 so I can implement it in my project.

Thanks 😄

GNU MPFR

Change the BigFloat class to use GNU MPFR instead of GMP. This allows the use of more important functions like logarithms.

Add more benchmarks

Current benchmarks are not entirely representative of the performance, as simple vectorized computations are easily compiled to near-perfect machine code.

Some benchmark suggestions:

• Linear algebra routines (SVD, matrix inverse, eigenvalues...)
• Number theory functions (primality tests, integer factorization...)
• Optimization (test using rosenbrock function, count the number of objective function calls)

Add more optimization routines

The only optimization procedure currently implemented is the golden section method. Optimization of functions with more than one variable (most notable Rosenbrock's function) is impossible without other methods.

Some initial suggestions:

• nelder-mead
• BFGS

For a well-written, high-level, fast and clear example of those (and other) routines, I highly recommend checking out Optim.jl.

GNU Scientific Library

The GNU Scientific Library contains many nice features, including polynomials, permutations, combinations, FFT, ...

Make Complex generic

As the readme states:

The biggest advantage about MathEagle is that it's totally generic. 😉

Making Complex generic over any real number would be great (especially when you get around to adding arbitrary precision numerics)

Make numberOfDigits function

This function could use something like this, but then Swifty:

n = 1;
if (i >= 100000000){i /= 100000000; n += 8;}
if (i >= 10000){i /= 10000; n += 4;}
if (i >= 100){i /= 100; n += 2;}
if (i >= 10){i /= 10; n += 1;}