Add complex-numbers exercise

[ageron]

No description provided.

[ageron]

Do you think this is too short?

Complex : { re : F64, im : F64 }

Should it be this instead?

Complex : { real : F64, imaginary: F64 }

This would mean functions like:

div : Complex, Complex -> Complex
div = \z1, z2 ->
    denominator = z2.real * z2.real + z2.imaginary * z2.imaginary
    {
        re: (z1.real * z2.real + z1.imaginary * z2.imaginary) / denominator,
        im: (z1.imaginary * z2.real - z1.real * z2.imaginary) / denominator,
    }

instead of this:

div : Complex, Complex -> Complex
div = \z1, z2 ->
    denominator = z2.re * z2.re + z2.im * z2.im
    {
        re: (z1.re * z2.re + z1.im * z2.im) / denominator,
        im: (z1.im * z2.re - z1.re * z2.im) / denominator,
    }

[isaacvando]

Love it! I like the terse version personally, I think it is plenty clear and very pleasant to parse. Still many more characters than would be used to describe these operations in math notation 😄

[ageron]

I also considered destructuring:

div : Complex, Complex -> Complex
div = \{real: a, imaginary: b}, {real: c, imaginary: d} ->
    denominator = c * c + d * d
    {
        real: (a * c + b * d) / denominator,
        imaginary: (b * c - a * d) / denominator,
    }

This might actually be nicer, wdyt?

[ageron]

Actually, I've settled on the following, with the terse { re, im } and using destructuring in the solution, so the equations look nice.

Edit: I merged this PR too fast, so the final improvements are in PR #102, sorry about that.

[ageron]

Thanks again @isaacvando !