/// <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>
/// Divides this ComplexNum by a given one
/// </summary>
/// <param name="n">The ComplexNum to divide with</param>
public void Divide(ComplexNum n)
{
double a = real;
double b = complex;
double c = n.GetReal();
double d = n.GetComplex();
//Trust me on this one
real = (a * c + b * d) / (c * c + d * d);
complex = (b - a * d) / (c * c + d * d);
}
/// <summary>
/// Finds the product of a ComplexNum and this one
/// </summary>
/// <param name="n">The ComplexNum to be multiplied</param>
public void Multiply(ComplexNum n)
{
double a = real;
double b = complex;
double c = n.GetReal();
double d = n.GetComplex();
//Using FOIL to determine new values
//(a + bi)(c + di)
real = (a * c) - (b * d);
complex = (a * d) + (b * c);
}
/// <summary>
/// Subtracts a ComplexNum value from this one
/// </summary>
/// <param name="n">The ComplexNum to be subtracted</param>
public void Subtract(ComplexNum n)
{
real -= n.GetReal();
complex -= n.GetComplex();
}
/// <summary>
/// Adds a ComplexNum value to this one
/// </summary>
/// <param name="n">The ComplexNum to be added</param>
public void Add(ComplexNum n)
{
real += n.GetReal();
complex += n.GetComplex();
}