"A Tour of Go"

ComplexCubeRoots.go

/*
Advanced Exercise: Complex cube roots

Let's explore Go's built-in support for complex numbers via the complex64 and complex128 types. For cube roots, Newton's method amounts to repeating:


Find the cube root of 2, just to make sure the algorithm works. There is a Pow function in the math/cmplx package.
*/

package main

import (
    "fmt"
    "math/cmplx"
)

func Cbrt(x complex128) complex128 {
    
    z := complex128(1)
    
    for i := 0; i < 100; i++{
        z = z - ((cmplx.Pow(z,3)-x) / (3*cmplx.Pow(z,2)))
    }
    
    return z
}

func main() {
    fmt.Println(Cbrt(2))
}