On: Island Generator

[LeifCarrotson]

We can do better. It's true that decimal representation doesn't work:

    0.999999 = 0.142857 + 0.142857 + 0.142857 + 0.142857 + 0.142857 + 0.142857 + 0.142857 

And yes, rewriting the problem in an integer-indexed form does get the correct result:

    1 = (1 + 1 + 1 + 1 + 1 + 1 + 1) / 7

But what we want, in both the original code and in this example, is to calculate:

        1   1   1   1   1   1   1
    1 = — + — + — + — + — + — + —
        7   7   7   7   7   7   7

That's even hard to type out in our limited format here on HN. But it's what we mean to do.

Maybe better tooling could infer that if the limited math produces an angle indistinguishably close to 2pi, we probably meant for it to be equal to 2pi. Maybe it could do fractional addition, instead of converting to a decimal representation and truncating the number of digits.

Maybe it would write the outputs of the function in the initial triangle example, instead of as

    ([50 0]
     [-24.99999999999999 43.30127018922194]
     [-25.00000000000002 -43.301270189221924])

it would be represented as

    ([50 0]
     [-25 25*sqrt(3)]
     [-25 -25*sqrt(3)])

Because the sine of 2pi/3 is sqrt(3)/2, not 0.866.