Use the while statement to implement Newton's method for finding the square root : double Calculation « Data Type « C# / CSharp Tutorial

1. C# / CSharp Tutorial
2. Data Type
3. double Calculation

using System;

public class MainClass {
   public static void Main( ) {
    double epsilon   = 1.0e-9;
    double guess    = 11.0;

    double value = 2;

      double result = ((value / guess) + guess) / 2;

      Console.WriteLine( "Guess Value  = {0}", guess  );
      Console.WriteLine( "Result Value = {0}", result );

      while( Math.Abs(result - guess) > epsilon ) {
          guess = result;
        result = ((value / guess) + guess) / 2;
          Console.WriteLine( "Guess Value  = {0}", guess  );
          Console.WriteLine( "Result Value = {0}", result );
    }

    Console.WriteLine("The approx sqrt of {0} is {1}", value, result );
    }
}

Guess Value  = 11
Result Value = 5.59090909090909
Guess Value  = 5.59090909090909
Result Value = 2.97431633407243
Guess Value  = 2.97431633407243
Result Value = 1.82336988350512
Guess Value  = 1.82336988350512
Result Value = 1.46012001740362
Guess Value  = 1.46012001740362
Result Value = 1.41493521627426
Guess Value  = 1.41493521627426
Result Value = 1.41421374640426
Guess Value  = 1.41421374640426
Result Value = 1.41421356237311
Guess Value  = 1.41421356237311
Result Value = 1.41421356237309
The approx sqrt of 2 is 1.41421356237309