/// <summary>
/// Gets the centroid of the polyline 2d.
/// </summary>
/// <param name="pl">The instance to which the method applies.</param>
/// <returns>The centroid of the polyline 2d (WCS coordinates).</returns>
public static Point3d Centroid(this Polyline2d pl)
{
Vertex2d[] vertices = pl.GetVertices().ToArray();
int last = vertices.Length - 1;
Vertex2d vertex = vertices[0];
Point2d p0 = vertex.Position.Convert2d();
double elev = pl.Elevation;
Point2d cen = new Point2d(0.0, 0.0);
double area = 0.0;
double bulge = vertex.Bulge;
double tmpArea;
Point2d tmpPt;
Triangle2d tri = new Triangle2d();
CircularArc2d arc = new CircularArc2d();
if (bulge != 0.0)
{
arc = pl.GetArcSegment2dAt(0);
tmpArea = arc.SignedArea();
tmpPt = arc.Centroid();
area += tmpArea;
cen += ((new Point2d(tmpPt.X, tmpPt.Y)) * tmpArea).GetAsVector();
}
for (int i = 1; i < last; i++)
{
Point2d p1 = vertices[i].Position.Convert2d();
Point2d p2 = vertices[i + 1].Position.Convert2d();
tri.Set(p0, p1, p2);
tmpArea = tri.SignedArea;
area += tmpArea;
cen += (tri.Centroid * tmpArea).GetAsVector();
bulge = vertices[i].Bulge;
if (bulge != 0.0)
{
arc = pl.GetArcSegment2dAt(i);
tmpArea = arc.SignedArea();
tmpPt = arc.Centroid();
area += tmpArea;
cen += ((new Point2d(tmpPt.X, tmpPt.Y)) * tmpArea).GetAsVector();
}
}
bulge = vertices[last].Bulge;
if ((bulge != 0.0) && (pl.Closed == true))
{
arc = pl.GetArcSegment2dAt(last);
tmpArea = arc.SignedArea();
tmpPt = arc.Centroid();
area += tmpArea;
cen += ((new Point2d(tmpPt.X, tmpPt.Y)) * tmpArea).GetAsVector();
}
cen = cen.DivideBy(area);
return(new Point3d(cen.X, cen.Y, pl.Elevation).TransformBy(Matrix3d.PlaneToWorld(pl.Normal)));
}
/// <summary>
/// Gets the centroid of the polyline.
/// </summary>
/// <param name="pl">The instance to which the method applies.</param>
/// <returns>The centroid of the polyline (OCS coordinates).</returns>
public static Point2d Centroid2d(this Polyline pl)
{
Point2d cen = new Point2d();
Triangle2d tri = new Triangle2d();
CircularArc2d arc = new CircularArc2d();
double tmpArea;
double area = 0.0;
int last = pl.NumberOfVertices - 1;
Point2d p0 = pl.GetPoint2dAt(0);
double bulge = pl.GetBulgeAt(0);
if (bulge != 0.0)
{
arc = pl.GetArcSegment2dAt(0);
area = arc.SignedArea();
cen = arc.Centroid() * area;
}
for (int i = 1; i < last; i++)
{
tri.Set(p0, pl.GetPoint2dAt(i), pl.GetPoint2dAt(i + 1));
tmpArea = tri.SignedArea;
cen += (tri.Centroid * tmpArea).GetAsVector();
area += tmpArea;
bulge = pl.GetBulgeAt(i);
if (bulge != 0.0)
{
arc = pl.GetArcSegment2dAt(i);
tmpArea = arc.SignedArea();
area += tmpArea;
cen += (arc.Centroid() * tmpArea).GetAsVector();
}
}
bulge = pl.GetBulgeAt(last);
if ((bulge != 0.0) && (pl.Closed == true))
{
arc = pl.GetArcSegment2dAt(last);
tmpArea = arc.SignedArea();
area += tmpArea;
cen += (arc.Centroid() * tmpArea).GetAsVector();
}
return(cen.DivideBy(area));
}
/// <summary>
/// Checks if the distance between every respective Point2d in both Triangle2d is less than or equal to the Tolerance.EqualPoint value of the specified tolerance.
/// </summary>
/// <param name="t2d">The triangle2d to compare.</param>
/// <param name="tol">The tolerance used in points comparisons.</param>
/// <returns>true if the condition is met; otherwise, false.</returns>
public bool IsEqualTo(Triangle2d t2d, Tolerance tol)
{
return(t2d[0].IsEqualTo(_pt0, tol) && t2d[1].IsEqualTo(_pt1, tol) && t2d[2].IsEqualTo(_pt2, tol));
}
/// <summary>
/// Checks if the distance between every respective Point2d in both Triangle2d is less than or equal to the Tolerance.Global.EqualPoint value.
/// </summary>
/// <param name="t2d">The triangle2d to compare.</param>
/// <returns>true if the condition is met; otherwise, false.</returns>
public bool IsEqualTo(Triangle2d t2d)
{
return(this.IsEqualTo(t2d, Tolerance.Global));
}