protected override List <Point2D> GeneratePoint2DList(Hyperbola hyper)
{
List <Point2D> list = new List <Point2D>();
int x = hyper.a;
int y = 0;
int a = hyper.a;
int b = hyper.b;
int a2 = a * a;
int b2 = b * b;
int xprev = x;
int yprev = y;
// First Half
while (Math.Abs(x * b2) >= Math.Abs(y * a2) && x <= hyper.limit)
{
if (hyper.orientation == Orientation.Horizontal)
{
list.Add(new Point2D(x, y));
}
else
{
list.Add(new Point2D(-y, x));
}
xprev = x;
yprev = y;
y += 1;
x = (int)Math.Round(Math.Sqrt((double)a2 * y * y / b2 + a2));
}
// Second Half
x = xprev;
y = yprev;
while (x <= hyper.limit)
{
if (hyper.orientation == Orientation.Horizontal)
{
list.Add(new Point2D(x, y));
}
else
{
list.Add(new Point2D(-y, x));
}
x += 1;
y = (int)Math.Round(Math.Sqrt((double)b2 * x * x / a2 - b2));
}
return(Generate4SymmetricPoint2D(list, hyper.center));
}
protected override List <Point2D> GeneratePoint2DList(Hyperbola hyper)
{
List <Point2D> list = new List <Point2D>();
int x = hyper.a;
int y = 0;
int a = hyper.a;
int b = hyper.b;
int a2 = a * a;
int b2 = b * b;
long p = 2 * a2 - 2 * a * b2 - b2;
int xprev = x;
int yprev = y;
// First Half
while (Math.Abs(x * b2) >= Math.Abs(y * a2) && x <= hyper.limit)
{
if (hyper.orientation == Orientation.Horizontal)
{
list.Add(new Point2D(x, y));
}
else
{
list.Add(new Point2D(-y, x));
}
xprev = x;
yprev = y;
if (p > 0)
{
p += 2 * a2 * (2 * y + 3) - 2 * b2 * (2 * x + 2);
x += 1;
}
else
{
p += 2 * a2 * (2 * y + 3);
}
y += 1;
}
// Second Half
x = xprev;
y = yprev;
p = 2 * b2 * (x + 1) * (x + 1) - 2 * a2 * (y * y + y) - a2 * (2 * b2 + 1);
while (x <= hyper.limit)
{
if (hyper.orientation == Orientation.Horizontal)
{
list.Add(new Point2D(x, y));
}
else
{
list.Add(new Point2D(-y, x));
}
if (p > 0)
{
p += 2 * b2 * (2 * x + 3) - 2 * a2 * (2 * y + 2);
y += 1;
}
else
{
p += 2 * b2 * (2 * x + 3);
}
x += 1;
}
return(Generate4SymmetricPoint2D(list, hyper.center));
}
protected abstract List <Point2D> GeneratePoint2DList(Hyperbola hyper);
protected override List <Point2D> GeneratePoint2DList(Hyperbola hyper)
{
throw new NotImplementedException();
}