protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double a = A;
double x = (a - v.Value * Math.Sin(u.Value / 2.0)) * u.Sin;
double y = (a - v.Value * Math.Sin(u.Value / 2.0)) * u.Cos;
double z = v.Value * Math.Cos(u.Value / 2.0);
return new Point3D(x, y, z);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double a = A;
double x = (a * a * Math.Sin(2.0 * u.Value) * Math.Pow(v.Cos, 2)) / 2.0;
double y = (a * a * u.Sin * Math.Sin(v.Value * 2.0)) / 2.0;
double z = (a * a * u.Cos * Math.Sin(v.Value * 2.0)) / 2.0;
return new Point3D(x, y, z);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double radius = 1.0;
double x = radius * u.Cos * v.Sin;
double y = radius * u.Sin * v.Sin;
double z = radius * v.Cos;
return new Point3D(x, y, z);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double a = A;
double x = u.Cos * (a + v.Sin * u.Cos - (Math.Sin(2.0 * v.Value) * u.Sin) / 2.0);
double y = u.Sin * (a + v.Sin * u.Cos - (Math.Sin(2.0 * v.Value) * u.Sin) / 2.0);
double z = u.Sin * v.Sin + (u.Cos * Math.Sin(2.0 * v.Value)) / 2.0;
return new Point3D(x, y, z);
}
protected override System.Windows.Media.Media3D.Point3D Project(MemoizeMath u, MemoizeMath v)
{
double radius = 1;
double x = (radius * u.Sin);
double y = (radius * u.Cos);
double z = v.Value;
return new Point3D(x, y, z);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double radius = 1;
double x = radius * u.Sin;
double y = radius * u.Cos;
double z = v.Value;
return(new Point3D(x, y, z));
}
protected override System.Windows.Media.Media3D.Point3D Project(MemoizeMath u, MemoizeMath v)
{
double centerRadius = 2.0;
double crossSectionRadius = 1.0;
double x = (centerRadius + crossSectionRadius * v.Cos) * Math.Cos(-u.Value);
double y = (centerRadius + crossSectionRadius * v.Cos) * Math.Sin(-u.Value);
double z = crossSectionRadius * v.Sin;
return new Point3D(x, y, z);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double a = A;
double x = (a - v.Value * Math.Sin(u.Value / 2.0)) * u.Sin;
double y = (a - v.Value * Math.Sin(u.Value / 2.0)) * u.Cos;
double z = v.Value * Math.Cos(u.Value / 2.0);
return(new Point3D(x, y, z));
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double a = A;
double x = u.Cos * (a + v.Sin * u.Cos - (Math.Sin(2.0 * v.Value) * u.Sin) / 2.0);
double y = u.Sin * (a + v.Sin * u.Cos - (Math.Sin(2.0 * v.Value) * u.Sin) / 2.0);
double z = u.Sin * v.Sin + (u.Cos * Math.Sin(2.0 * v.Value)) / 2.0;
return(new Point3D(x, y, z));
}
protected override System.Windows.Media.Media3D.Point3D Project(MemoizeMath u, MemoizeMath v)
{
double radius = 1;
double x = (radius * u.Sin);
double y = (radius * u.Cos);
double z = v.Value;
return(new Point3D(x, y, z));
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double a = A;
double x = (a * a * Math.Sin(2.0 * u.Value) * Math.Pow(v.Cos, 2)) / 2.0;
double y = (a * a * u.Sin * Math.Sin(v.Value * 2.0)) / 2.0;
double z = (a * a * u.Cos * Math.Sin(v.Value * 2.0)) / 2.0;
return(new Point3D(x, y, z));
}
protected override System.Windows.Media.Media3D.Point3D Project(MemoizeMath u, MemoizeMath v)
{
double centerRadius = 2.0;
double crossSectionRadius = 1.0;
double x = (centerRadius + crossSectionRadius * v.Cos) * Math.Cos(-u.Value);
double y = (centerRadius + crossSectionRadius * v.Cos) * Math.Sin(-u.Value);
double z = crossSectionRadius * v.Sin;
return(new Point3D(x, y, z));
}
protected override System.Windows.Media.Media3D.Point3D Project(MemoizeMath u, MemoizeMath v)
{
double radius = Radius;
double height = MaxV-MinV;
double x = (v.Value * radius * u.Cos) / height;
double y = (v.Value * radius * u.Sin) / height;
double z = v.Value;
return new Point3D(x, y, z);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double radius = Radius;
double height = MaxV - MinV;
double x = (v.Value * radius * u.Cos) / height;
double y = (v.Value * radius * u.Sin) / height;
double z = v.Value;
return(new Point3D(x, y, z));
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double xRadius = 1.0;
double yRadius = 1.0;
double zRadius = 1.0;
double x = xRadius * u.Cos * v.Sin;
double y = yRadius * u.Sin * v.Sin;
double z = zRadius * v.Cos;
return(new Point3D(x, y, z));
}
protected override System.Windows.Media.Media3D.Point3D Project(MemoizeMath u, MemoizeMath v)
{
double centerRadius = 2.0;
double crossSectionRadius = 1.0;
double n1 = N1;
double n2 = N2;
double x = (centerRadius + crossSectionRadius * SafePow(v.Cos, N2)) * SafePow(Math.Cos(-u.Value), n1);
double y = (centerRadius + crossSectionRadius * SafePow(v.Cos, N2)) * SafePow(Math.Sin(-u.Value), n1);
double z = crossSectionRadius * SafePow(v.Sin, n2);
return new Point3D(x, y, z);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double xRadius = 1.0;
double yRadius = 1.0;
double zRadius = 1.0;
double n1 = N1;
double n2 = N2;
double x = xRadius * SafePow(v.Sin, n1) * SafePow(u.Cos, n2);
double y = yRadius * SafePow(v.Sin, n1) * SafePow(u.Sin, n2);
double z = zRadius * SafePow(v.Cos, n1);
return new Point3D(x, y, z);
}
protected override System.Windows.Media.Media3D.Point3D Project(MemoizeMath u, MemoizeMath v)
{
double centerRadius = 2.0;
double crossSectionRadius = 1.0;
double n1 = N1;
double n2 = N2;
double x = (centerRadius + crossSectionRadius * SafePow(v.Cos, N2)) * SafePow(Math.Cos(-u.Value), n1);
double y = (centerRadius + crossSectionRadius * SafePow(v.Cos, N2)) * SafePow(Math.Sin(-u.Value), n1);
double z = crossSectionRadius * SafePow(v.Sin, n2);
return(new Point3D(x, y, z));
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double xRadius = 1.0;
double yRadius = 1.0;
double zRadius = 1.0;
double n1 = N1;
double n2 = N2;
double x = xRadius * SafePow(v.Sin, n1) * SafePow(u.Cos, n2);
double y = yRadius * SafePow(v.Sin, n1) * SafePow(u.Sin, n2);
double z = zRadius * SafePow(v.Cos, n1);
return(new Point3D(x, y, z));
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double x = X(u, v);
double y = Y(u, v);
double z = Z(u, v);
double x2 = x * x;
double y2 = y * y;
double z2 = z * z;
double f = (2.0 * x2 - y2 - z2 + 2.0 * y * z * (y2 - z2) + z * x * (x2 - z2) + x * y * (y2 - x2)) / 2.0;
double g = (y2 - z2 + (z * x * (z2 - x2) + x * y * (y2 - x2))) * Math.Sqrt(3) / 2.0;
double h = (x + y + z) * (Math.Pow(x + y + z, 3) + 4.0 * (y - x) * (z - y) * (x - z));
return new Point3D(f,g,h/8.0);
}
protected override Point3D Project(MemoizeMath u, MemoizeMath v)
{
double x = X(u, v);
double y = Y(u, v);
double z = Z(u, v);
double x2 = x * x;
double y2 = y * y;
double z2 = z * z;
double f = (2.0 * x2 - y2 - z2 + 2.0 * y * z * (y2 - z2) + z * x * (x2 - z2) + x * y * (y2 - x2)) / 2.0;
double g = (y2 - z2 + (z * x * (z2 - x2) + x * y * (y2 - x2))) * Math.Sqrt(3) / 2.0;
double h = (x + y + z) * (Math.Pow(x + y + z, 3) + 4.0 * (y - x) * (z - y) * (x - z));
return(new Point3D(f, g, h / 8.0));
}
private double X(MemoizeMath u, MemoizeMath v)
{
return(u.Cos * v.Sin);
}
protected abstract Point3D Project(MemoizeMath u, MemoizeMath v);
private double Y(MemoizeMath u, MemoizeMath v)
{
return(u.Sin * v.Sin);
}
private double Z(MemoizeMath u, MemoizeMath v)
{
return(v.Cos);
}
private double Z(MemoizeMath u, MemoizeMath v)
{
return v.Cos;
}
private double Y(MemoizeMath u, MemoizeMath v)
{
return u.Sin * v.Sin;
}
private double X(MemoizeMath u, MemoizeMath v)
{
return u.Cos * v.Sin;
}
protected abstract Point3D Project(MemoizeMath u, MemoizeMath v);
