gotut-25

package main

import (
	"fmt"
	"math"
)

func Sqrt(x float64) (z float64) {
	s := 1.0
	min_change := 0.01
	z = 1
	
        for i := 0 ; true ; i++ {
                s = z - (z*z-x)/2*z
                change := math.Abs(z - s)
                fmt.Println(i, "->", z)
                z = s
                if change < min_change {
                        break
                }
        }
    
	return
}

func main() {
  newton  := Sqrt(2)
  mathlib := math.Sqrt(2)
  fmt.Println("newton",  newton)
  fmt.Println("mathlib", mathlib)
  fmt.Println("diff", math.Abs(mathlib-newton))
}