MathKit

gistfile1.swift

import MathKit

let p = SimplePolynomial(string: "3x^2 + x + 1")
let p2 = SimplePolynomial(string: "(x)(y)")
let p3 = SimplePolynomial(string: "thisIsOneLongVariable^2")

p + p2 // returns 3x^2 + x + (x)(y) + 1
p - p2 // returns 3x^2 + x - (x)(y) + 1
p * p2 // don't feel like figuring that one out.

p.valueAt(["x": 1]) // returns 5
p2.polynomialAt(["x": 1]) // returns y

p.differentiate("x") // returns 6x + 1
p2.differentiate("x") // returns y

p2.gradient() // returns an object equivalent to: ["x": SimplePolynomial(string: "y"), "y": SimplePolynomial(string: "x")]

p.solve() // returns nil because this doesn't have any roots (there is no value of x such that f(x) = 0)
p2.solve() // returns [["x": 0], ["y": 0]]

p.of(p2, at: "x") // returns 3x^2y^2 + (x)(y) + 1