public static int CubeRootPainter(Complex z0, FrameParams p)
{
Complex z = z0;
for (int i = 0; i < 100; i++)
{
Complex z1 = (2.0 / 3.0) * z + 1 / (3 * z * z);
if ((z - z1).Magnitude < 1e-9)
{
break;
}
z = z1;
}
if (z.Imaginary < 1e-5 && z.Imaginary > -1e-5)
{
return(0);
}
if (z.Imaginary > 0)
{
return(1);
}
if (z.Imaginary < 0)
{
return(2);
}
return(0);
}
public static int DebugPainter(Complex c, FrameParams p)
{
Complex z = c;
for (int i = 0; i < 50; i++)
{
z = p.k[1] * z * z + p.k[2] * c * z + p.k[3] * c * c;
if (z.Magnitude > 100)
{
return(i);
}
}
return(50);
}
public static int MandelBrotTetraPainter(Complex c, FrameParams p)
{
Complex z = 0;
for (int i = 0; i < 255; i++)
{
z = z * z * z * z + c;
if (z.Real * z.Real + z.Imaginary * z.Imaginary > 16)
{
return(i);
}
}
return(255);
}
//step=0.0 - the same
//step=1.0 - totally new
//linear
public FrameParams getMove(FrameParams newParams, double step)
{
FrameParams ret = this.clone();
ret.genFunc.move(newParams.genFunc, step);
for (int i = 0; i < N; i++)
{
ret.k[i] = this.k[i] + (newParams.k[i] - this.k[i]) * step;
}
ret.genInfty = newParams.genInfty;
ret.genSteps = newParams.genSteps;
ret.genInit = newParams.genInit;
return(ret);
}
public static int PolynomPainter2(Complex c, FrameParams p)
{
int M = p.maxUsedColors - 1;
Complex z = 0;
for (int i = 0; i < M; i++)
{
z = p.k[0] + p.k[1] * z + p.k[2] * c + p.k[3] * z * z + p.k[4] * z * c + p.k[5] * c * c;
if (z.Real * z.Real + z.Imaginary * z.Imaginary > 1000)
{
return(i);
}
}
return(M);
}
public static int GenericMandelbrotPainter(Complex c, FrameParams p)
{
int M = p.maxUsedColors - 1;
Complex z = 0;
for (int i = 0; i < M; i++)
{
z = Complex.Pow(z, p.k[0]) + c;
if (z.Real * z.Real + z.Imaginary * z.Imaginary > 4)
{
return(i);
}
}
return(M);
}
public FrameParams clone()
{
FrameParams ret = new FrameParams(this.N, this.maxUsedColors);
for (int i = 0; i < N; i++)
{
ret.k[i] = this.k[i];
}
if (this.genFunc != null)
{
ret.genFunc = this.genFunc.clone();
}
ret.genInfty = this.genInfty;
ret.genInit = this.genInit;
ret.genSteps = this.genSteps;
return(ret);
}
public static int MandelbrotPainter(Complex c, FrameParams p)
{
//Check Cardioid
double r = Math.Sqrt((c.Real - 0.25) * (c.Real - 0.25) + c.Imaginary * c.Imaginary);
double t = Math.Atan2(c.Imaginary, c.Real);
if (r <= 0.5 * (1 - Math.Cos(t)))
{
return(0);
}
Complex z = 0;
for (int i = 0; i < 200; i++)
{
z = z * z + c;
if (z.Real * z.Real + z.Imaginary * z.Imaginary > 4)
{
return(1);
}
}
return(0);
}
public static int TetraRootPainter(Complex z0, FrameParams p)
{
Complex z = z0;
for (int i = 0; i < 100; i++)
{
Complex z1 = 0.75 * z + 0.25 / (z * z * z);
//Complex z1 = z -( Complex.Pow(z, _k1)-1) / ((_k1 - 1) * Complex.Pow(z, _k1 - 1));
if ((z - z1).Magnitude < 1e-9)
{
break;
}
z = z1;
}
if (z.Imaginary < 1e-5 && z.Imaginary > -1e-5)
{
if (z.Real > 0)
{
return(0);
}
if (z.Real < 0)
{
return(1);
}
}
if (z.Imaginary > 0)
{
return(2);
}
if (z.Imaginary < 0)
{
return(3);
}
return(0);
}
public static int DzetaPainter(Complex c, FrameParams p)
{
return(0);
}