public static EscapeTime FindEscapeTimeNoCycleDetection(Complex c, int maxIterations)
{
if (MandelbulbChecker.IsInsideBulbs(c))
{
return(EscapeTime.Infinite);
}
var zReal = 0.0;
var zImag = 0.0;
var z2Real = 0.0;
var z2Imag = 0.0;
for (int i = 0; i < maxIterations; i++)
{
zImag = 2 * zReal * zImag + c.Imaginary;
zReal = z2Real - z2Imag + c.Real;
z2Real = zReal * zReal;
z2Imag = zImag * zImag;
if ((z2Real + z2Imag) > 4)
{
return(EscapeTime.Discrete(i));
}
}
return(EscapeTime.Infinite);
}
/// <summary>
/// Determines whether the point is in the set, without using an arbitrary iteration limit.
/// </summary>
/// <param name="c">The c.</param>
/// <remarks>
/// Brent's Algorithm is used to detect cycles for points in the set.
/// </remarks>
/// <returns>
/// The <see cref="EscapeTime"/> of the point.
/// </returns>
public static EscapeTime FindEscapeTime(Complex c)
{
if (MandelbulbChecker.IsInsideBulbs(c))
{
return(EscapeTime.Infinite);
}
var zReal = 0.0f;
var zImag = 0.0f;
var z2Real = 0.0f;
var z2Imag = 0.0f;
var oldZReal = 0.0f;
var oldZImag = 0.0f;
var cReal = (float)c.Real;
var cImag = (float)c.Imaginary;
int stepsTaken = 0;
int stepLimit = 2;
int iterations = 0;
while ((z2Real + z2Imag) <= 4)
{
iterations++;
stepsTaken++;
zImag = 2 * zReal * zImag + cImag;
zReal = z2Real - z2Imag + cReal;
z2Real = zReal * zReal;
z2Imag = zImag * zImag;
if (oldZReal == zReal && oldZImag == zImag)
{
return(EscapeTime.Infinite);
}
if (stepsTaken == stepLimit)
{
oldZReal = zReal;
oldZImag = zImag;
stepsTaken = 0;
stepLimit = stepLimit << 1;
}
}
return(EscapeTime.Discrete(iterations));
}
public static EscapeTime FindEscapeTime(Complex c, int maxIterations)
{
if (MandelbulbChecker.IsInsideBulbs(c))
{
return(EscapeTime.Infinite);
}
var zReal = 0.0f;
var zImag = 0.0f;
var z2Real = 0.0f;
var z2Imag = 0.0f;
var oldZReal = 0.0f;
var oldZImag = 0.0f;
int stepsTaken = 0;
int stepLimit = 2;
for (int i = 0; i < maxIterations; i++)
{
stepsTaken++;
zImag = 2 * zReal * zImag + (float)c.Imaginary;
zReal = z2Real - z2Imag + (float)c.Real;
if (oldZReal == zReal && oldZImag == zImag)
{
return(EscapeTime.Infinite);
}
z2Real = zReal * zReal;
z2Imag = zImag * zImag;
if ((z2Real + z2Imag) > 4)
{
return(EscapeTime.Discrete(i));
}
if (stepsTaken == stepLimit)
{
oldZReal = zReal;
oldZImag = zImag;
stepsTaken = 0;
stepLimit = stepLimit << 1;
}
}
return(EscapeTime.Infinite);
}