public static ComplexNumber PowerPlusConst(ComplexNumber c, int Exponent, ComplexNumber Const)
{
ComplexNumber PoweredNumber = ComplexMath.Power(c, Exponent);
PoweredNumber = ComplexMath.ComplexAdd(PoweredNumber, Const);
return(PoweredNumber);
}
public void GenerateSet()
{
try
{
this.ZExponent = Convert.ToInt32(this.ZExpTB.Text);
this.CExponent = Convert.ToInt32(this.CExpTB.Text);
RenderProgress.Minimum = 0;
RenderProgress.Maximum = 1045;
this.width = ClientRectangle.Width;
this.height = ClientRectangle.Height;
this.ZoomScale = Convert.ToDouble(this.zoom.Text);
if (Convert.ToInt32(IterationsTB.Text) > 255)
{
this.IterationsTB.Text = "255";
this.MaxIter = 255;
}
else if (Convert.ToInt32(IterationsTB.Text) < 0)
{
this.IterationsTB.Text = "255";
this.MaxIter = 255;
}
else
{
this.MaxIter = Convert.ToInt32(IterationsTB.Text);
}
GraphicsObject.Clear(Color.Black);
Refresh();
Color thisColour = Color.Blue;
Color lastColour = Color.Red;
double Normalized = 0;
XDisposition = Convert.ToDouble(XDispTB.Text);
YDisposition = Convert.ToDouble(YDispTB.Text);
CValue.Real = Convert.ToDouble(CRealTb.Text);
CValue.Imaginary = Convert.ToDouble(CImagTb.Text);
Color last = Color.Red;
int line = 0;
int iLast = 0;
for (int x = 0; x < width; x++)
{
for (int y = 0; y < height; y++)
{
ZValue.Real = 1.5 * (x - width - 1 / 2) / (0.5 * ZoomScale * width) + XDisposition;
ZValue.Imaginary = 1.0 * (y - height - 1 / 2) / (0.5 * ZoomScale * height) + YDisposition;
int i = 0;
if (this.ZExponent == 2 && this.CExponent == 0)
{
do
{
ZValue = ComplexMath.SquarePlus(ZValue, CValue);
Normalized = ComplexMath.SquareModulus(ZValue);
i++;
} while (Normalized < 4.0 && i < MaxIter);
}
else if (this.ZExponent != 2 && this.CExponent == 0)
{
do
{
ZValue = ComplexMath.PowerPlusConst(ZValue, ZExponent, CValue);
Normalized = ComplexMath.SquareModulus(ZValue);
i++;
} while (Normalized < 4.0 && i < MaxIter);
}
else
{
do
{
ZValue = ComplexMath.PowerPlusConst(ZValue, ZExponent, ComplexMath.Power(CValue, CExponent));
Normalized = ComplexMath.SquareModulus(ZValue);
i++;
} while (Normalized < 4.0 && i < MaxIter);
}
Color col;
if (i == iLast)
{
col = last;
}
else
{
col = Colours[i];
}
Canvas.SetPixel(x, y, col);
}
line++;
if (line % 120 == 0)
{
RenderProgress.Value = line;
Refresh();
}
}
RenderProgress.Value = line;
Refresh();
}
catch (Exception e)
{
MessageBox.Show(e.Message);
}
}
public static Tuple <int, double> GetEscapeIterations(int ZExponent, int CExponent, ComplexNumber ZComplex, ComplexNumber CComplex, int MaximumIterations)
{
int Iterations = 0;
double Normalized = 0.0;
ExponentStates state;
if (ZExponent == 2 && CExponent == 0)
{
state = ExponentStates.DEFAULT_EXPONENT_VALUES;
}
else if (ZExponent != 2 && CExponent == 0)
{
state = ExponentStates.NON_DEFAULT_Z_EXPONENT;
}
else
{
state = ExponentStates.ANY_OTHER_CASE;
}
switch (state)
{
case ExponentStates.DEFAULT_EXPONENT_VALUES:
do
{
ZComplex = ComplexMath.SquarePlus(ZComplex, CComplex);
Normalized = ComplexMath.SquareModulus(ZComplex);
Iterations++;
} while ((Normalized <= (4)) && (Iterations < MaximumIterations));
break;
case ExponentStates.NON_DEFAULT_Z_EXPONENT:
do
{
ZComplex = ComplexMath.PowerPlusConst(ZComplex, ZExponent, CComplex);
Normalized = ComplexMath.SquareModulus(ZComplex);
Iterations++;
} while ((Normalized <= (4)) && (Iterations < MaximumIterations));
break;
case ExponentStates.ANY_OTHER_CASE:
do
{
ZComplex = ComplexMath.PowerPlusConst(ZComplex, ZExponent, ComplexMath.Power(CComplex, CExponent));
Normalized = ComplexMath.SquareModulus(ZComplex);
Iterations++;
} while ((Normalized <= (4)) && (Iterations < MaximumIterations));
break;
default:
MessageBox.Show("Default Case, No Proper Values inputted");
break;
}
return(new Tuple <int, double>(Iterations, Normalized));
}