So I'm attempting to use the Newton-Raphson method to find the square root of a BigInteger.
Here is my code:
private void sqrRt(BigInteger candidate)
{
BigInteger epsilon = new BigInteger(0.0001);
BigInteger guess = candidate / 2;
while (BigInteger.Abs(guess * guess - candidate) >= epsilon)
{
// guess = guess - (((guess**2) - y)/(2*guess))
guess = BigInteger.Subtract(guess, BigInteger.Divide(BigInteger.Subtract(BigInteger.Multiply(guess, guess), candidate), BigInteger.Multiply(2, guess)));
MessageBox.Show(Convert.ToString(guess));
}
}
The problem seems to be that the BigInteger is not precise enough to fall within the degree of accuracy of the epsilon in the while loop - i.e. it needs a decimal place. My question is what/how/where do I convert to a double to make the while loop eventually return false?