/// <summary>
/// Recursive check if a complex number is within the Mandelbrot set
/// </summary>
/// <param name="z"></param>
/// <param name="c"></param>
/// <param name="recursions"></param>
/// <param name="maxRecursions"></param>
/// <returns>TRUE if "c" is within Mandelbrot Set, FALSE otherwise</returns>
private bool RecursiveCheck(ComplexNum z, ComplexNum c, int recursions, int maxRecursions)
{
if (Math.Sqrt(z.GetReal() * z.GetReal() + z.GetComplex() * z.GetComplex()) > MAX_DIST)
{
//Number blew up
return(false);
}
else if (recursions > maxRecursions)
{
//Number probably does not blow up
return(true);
}
else
{
//Run it again
z.Squared();
z.Add(c);
return(RecursiveCheck(z, c, recursions + 1, maxRecursions));
}
}
/// <summary>
/// Iterative check if a complex number is within the Mandelbrot set
/// </summary>
/// <param name="z"></param>
/// <param name="c"></param>
/// <param name="maxIterations"></param>
/// <returns>TRUE if "c" is within Mandelbrot Set, FALSE otherwise</returns>
private int IterativeCheck(ComplexNum z, ComplexNum c, int maxIterations)
{
int iterations = 0;
while (true)
{
if (z.Magnitude() > MAX_DIST)
{
//Number blew up
return(iterations);
}
else if (iterations >= maxIterations)
{
//Number probably does not blow up
return(maxIterations);
}
//Run it through the function again
z.Multiply(z);
z.Add(c);
iterations++;
}
}