//This is a shortcut for z->z^2+c - implementing it as a
//standalone function SHOULD be faster than calling one function
//to square the number and a second one to do the add.
public void SquareAndAdd(ComplexDouble c)
{
//(a + bi)(a + bi) + (c+di) =(a^2 - b^2 + c) + (2ab + d)i;
double r = (real * real) - (imaginary * imaginary) + c.real;
double i = (2.0 * real * imaginary) + c.imaginary;
this.real = r;
this.imaginary = i;
}
private void ZoomOut(Complex center)
{
Center = center;
ViewportWidth *= 2;
RenderInternal();
}
public static double GetSquaredDistance(ComplexDouble a, ComplexDouble b)
{
double dr = a.real - b.real;
double di = a.imaginary - b.imaginary;
return dr * dr + di * di;
}