static void Main(string[] args)
{
Sqrt sqrt = new Sqrt(); //Creating an instance of the Sqrt class
Console.Write("Enter the number you want to square root: ");
double userNumber = Convert.ToDouble(Console.ReadLine());
//Getting user input and converting it to double
if (userNumber < 0)
{
Console.WriteLine("Number must be >= 0");
return;
//checking if its a positive number, displaying appropriate methos if its not and breaking out of the method
}
if (userNumber == 0 || userNumber == 1)
{
Console.WriteLine($"Square root of {userNumber} is {userNumber}");
return;
//The square root of 1 and 0 is themself
}
else
{
double squareRoot = sqrt.Squareroot(userNumber);
//passing the user input to the squareroot method of the Sqrt class to compute the square root of the number
Console.WriteLine($"The approximate square root of {userNumber} is {squareRoot}");
//Displaying th square root of the number to the user
}
}
static void Main(string[] args)
{
Console.WriteLine("Square root algorithms tests:\n");
Sqrt sqrt_obj = new Sqrt(); //passed
double a;
double epsilon = 0.000000000001;
double epsilon_2 = 0.0000000001;
Stopwatch timer = new Stopwatch();
Console.WriteLine("Testing method: math_sqrt");
a = 0.05;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 1.45;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 2;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 5;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 10;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 10.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 105.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 1089;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 10514;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 20449;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 23457;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 123456;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 288340;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
a = 622521;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt(a)); // -ok
Console.WriteLine();
Console.WriteLine("Testing method: math_sqrt2"); // argument in format _._ produces wrong output for this method!!!
a = 0.05;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 1.45;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 2;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 5;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 10;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 10.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 105.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 1089;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 10514;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 20449;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 23457;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 123456;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 288340;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
a = 622521;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt2(a)); // -ok
Console.WriteLine();
Console.WriteLine("Testing method: math_sqrt3");
a = 0.05;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 1.45;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 2;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 5;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 10;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 10.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 105.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 1089;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 10514;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 20449;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 23457;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 123456;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 288340;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
a = 622521;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt3(a, epsilon)); // -ok
Console.WriteLine();
Console.WriteLine("Testing method: math_sqrt4"); //algorithm is less accurate
a = 0.05;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 1.45;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 2;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 5;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 10;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 10.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 105.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 1089;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 10514;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 20449;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 23457;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 123456;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon)); // -ok
a = 288340;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon_2)); // -this works with less precision
a = 622521;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt4(a, epsilon_2)); // -this works with less precision
Console.WriteLine();
Console.WriteLine("Testing method: math_sqrt5"); // This algorithm is not accurate and NOT RECOMMENDED to use!
a = 0.05;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -failed
a = 1.45;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 2;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 5;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 10;
Console.WriteLine("a = " + a + "\t\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 10.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 105.14;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 1089;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 10514;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 20449;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -not accurate
a = 23457;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -ok
a = 123456;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -wrong
a = 288340;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -wrong
a = 622521;
Console.WriteLine("a = " + a + "\t√a = " + sqrt_obj.math_sqrt5(a)); // -wrong
Console.WriteLine();
Console.WriteLine("Project Euler - problem 80");
Console.WriteLine("Square root digital expansion");
int j = 1;
int result = 0;
timer.Start();
for (int i = 1; i <= 100; i++)
{
if (j * j == i)
{
j++;
continue;
}
String s = sqrt_obj.math_sqrt2_2(i, 100);
s = s.Remove(s.IndexOf('.'), 1);
s = s.Substring(0, 100);
result = result + s.Sum(c => c - '0');
}
timer.Stop();
Console.WriteLine("The answer to this problem is: " + result);
Console.WriteLine("Calculation time : " + timer.ElapsedMilliseconds + " ms");
Console.ReadKey();
}
public dynamic SqRoot(dynamic a)
{
result = Sqrt.SqRoot(a);
return(result);
}