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squareRoot.go
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squareRoot.go
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/*
@author - Ivan Liljeqvist
@version - 23-03-2015
*/
package main
import (
"fmt"
"math"
)
/*
This program includes a function that calculates the square root of the value passed in.
*/
/*
This function returns the square root of the argument passed in.
*/
func Sqrt(x float64) float64 {
//when the Z-value changes less than this constant, the loop will break
const BREAK_THRESHOLD = 0.000001
//the maximum number of iterations the loop will do if it's not broken
const MAX_ITERATIONS = 100000
//initial Z value
var z = 1.0
var lastZ = z
//iteration counter
var itCount = 0
//loop through and recalculate Z
for ; itCount < MAX_ITERATIONS; itCount++ {
//recalculate Z
z = z - (math.Pow(z, 2)-x)/(2*z)
//see if it changed less than the threshold constant
if (math.Abs(lastZ - z)) < BREAK_THRESHOLD {
break
}
lastZ = z
}
//print the number of iterations
fmt.Printf("Number of iterations: %v", itCount)
fmt.Println("")
fmt.Println("---")
fmt.Println("")
return z
}
func main() {
fmt.Println(Sqrt(2))
fmt.Println(math.Sqrt(2))
}