public Ellipse TransformCoordinates(CoordinateSystem actualCS, CoordinateSystem newCS)
{
Ellipse ellipse = this.ToEllipse();
Point point = new Point(ellipse.Center.X + ellipse.SemimajorAxisVector.X, ellipse.Center.Y + ellipse.SemimajorAxisVector.Y, ellipse.Center.Z + ellipse.SemimajorAxisVector.Z);
Point point2 = new Point(ellipse.Center.X + ellipse.SemiminorAxisVector.X, ellipse.Center.Y + ellipse.SemiminorAxisVector.Y, ellipse.Center.Z + ellipse.SemiminorAxisVector.Z);
ellipse.Center = ellipse.Center.TransformCoordinates(actualCS, newCS);
point = point.TransformCoordinates(actualCS, newCS);
point2 = point2.TransformCoordinates(actualCS, newCS);
return(Ellipse.ConstructFromConjugateDiameters(ellipse.Center, point, point2));
}
public Ellipse TransformCoordinates(CoordinateSystem actualCS, CoordinateSystem newCS)
{
Point point = this.Center;
Point point2 = point + this.vector3d_0.ToPoint();
Point point3 = point + this.vector3d_1.ToPoint();
point = point.TransformCoordinates(actualCS, newCS);
point2 = point2.TransformCoordinates(actualCS, newCS);
point3 = point3.TransformCoordinates(actualCS, newCS);
return(Ellipse.ConstructFromConjugateDiameters(point, point2, point3));
}
public Ellipse Scale(Point center, double scaleX, double scaleY, double scaleZ)
{
Ellipse ellipse = this.ToEllipse();
Point m = ellipse.Center.Scale(center, scaleX, scaleY, scaleZ);
Edge edge = ellipse.MajorAxis.Scale(center, scaleX, scaleY, scaleZ);
Edge edge2 = ellipse.MinorAxis.Scale(center, scaleX, scaleY, scaleZ);
if (edge.Length < Global.AbsoluteEpsilon | edge2.Length < Global.AbsoluteEpsilon)
{
throw new ArgumentException("Can not construct ellipse: scale factor is too small!");
}
if (edge.IsCollinearTo(edge2))
{
throw new ArgumentException("Can not construct ellipse: scale factor is too small!");
}
return(Ellipse.ConstructFromConjugateDiameters(m, edge.EndPoint, edge2.EndPoint));
}
public Ellipse ProjectParallelOn(Plane plane, Vector3d viewDirection)
{
if (viewDirection.IsOrthogonalTo(plane.NormalVector))
{
throw new ArgumentException("View direction parallel to projection plane!");
}
if (viewDirection.IsOrthogonalTo(this.NormalVector))
{
throw new ArgumentException("View direction parallel to circle!");
}
Point point = this.point_0 + this.SemimajorAxisVector.ToPoint();
Point point2 = this.Center + this.SemiminorAxisVector.ToPoint();
Point p = point.ProjectParallelOn(plane, viewDirection);
Point q = point2.ProjectParallelOn(plane, viewDirection);
Point m = this.Center.ProjectParallelOn(plane, viewDirection);
return(Ellipse.ConstructFromConjugateDiameters(m, p, q));
}
public static List <Ellipse> TransformCoordinates(List <Ellipse> ellipses, CoordinateSystem actualCS, CoordinateSystem newCS)
{
Matrix3d basisVectorMatrix = actualCS.BasisVectorMatrix;
Matrix3d basisVectorMatrix2 = newCS.BasisVectorMatrix;
Point b = actualCS.Origin - newCS.Origin;
Matrix3d a = basisVectorMatrix2.Invert() * basisVectorMatrix;
Point right = basisVectorMatrix2.Invert() * b;
List <Ellipse> list = new List <Ellipse>(ellipses.Count);
for (int i = 0; i < ellipses.Count; i++)
{
Point point = ellipses[i].point_0;
Point point2 = point + ellipses[i].vector3d_0.ToPoint();
Point point3 = point + ellipses[i].vector3d_1.ToPoint();
point = a * point + right;
point2 = a * point2 + right;
point3 = a * point3 + right;
list.Add(Ellipse.ConstructFromConjugateDiameters(point, point2, point3));
}
return(list);
}
