go語言Advanced Exercise: Complex cube roots

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Let's explore Go's built-in support for complex numbers via thecomplex64 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"
)

func Cbrt(x complex128) complex128 {
z := x
for i := 0; i < 10; i++ {
z = (2*z + x/(z*z))/3
}
return z
}

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