/// <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([NotNull] this Polyline pl)
{
var cen = new Point2d();
var tri = new Triangle2d();
CircularArc2d arc;
double tmpArea;
var area = 0.0;
var last = pl.NumberOfVertices - 1;
var p0 = pl.GetPoint2dAt(0);
var bulge = pl.GetBulgeAt(0);
var pts = new List <Point2d> {
p0
};
if (Math.Abs(bulge) > 0.0001)
{
arc = pl.GetArcSegment2dAt(0);
area = arc.AlgebricArea();
cen = arc.Centroid() * area;
}
for (var i = 1; i < last; i++)
{
var pi = pl.GetPoint2dAt(i);
pi.AddTo(pts);
tri.Set(p0, pi, pl.GetPoint2dAt(i + 1));
tmpArea = tri.AlgebricArea;
cen += (tri.Centroid * tmpArea).GetAsVector();
area += tmpArea;
bulge = pl.GetBulgeAt(i);
if (Math.Abs(bulge) > 0.0001)
{
arc = pl.GetArcSegment2dAt(i);
tmpArea = arc.AlgebricArea();
area += tmpArea;
cen += (arc.Centroid() * tmpArea).GetAsVector();
}
}
bulge = pl.GetBulgeAt(last);
if (Math.Abs(bulge) > 0.0001 && pl.Closed)
{
arc = pl.GetArcSegment2dAt(last);
tmpArea = arc.AlgebricArea();
area += tmpArea;
cen += (arc.Centroid() * tmpArea).GetAsVector();
}
if (Math.Abs(area) < 0.0001)
{
// Средняя точка из всех точек полилинии
return(new Point2d(pts.Average(a => a.X), pts.Average(a => a.Y)));
}
return(cen.DivideBy(area));
}
/// <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([NotNull] this Polyline2d pl)
{
var vertices = pl.GetVertices().ToArray();
var last = vertices.Length - 1;
var vertex = vertices[0];
var p0 = vertex.Position.Convert2d();
var cen = new Point2d(0.0, 0.0);
var area = 0.0;
var bulge = vertex.Bulge;
double tmpArea;
Point2d tmpPt;
var tri = new Triangle2d();
CircularArc2d arc;
if (Math.Abs(bulge) > 0.0001)
{
arc = pl.GetArcSegment2dAt(0);
tmpArea = arc.AlgebricArea();
tmpPt = arc.Centroid();
area += tmpArea;
cen += (new Point2d(tmpPt.X, tmpPt.Y) * tmpArea).GetAsVector();
}
for (var i = 1; i < last; i++)
{
var p1 = vertices[i].Position.Convert2d();
var p2 = vertices[i + 1].Position.Convert2d();
tri.Set(p0, p1, p2);
tmpArea = tri.AlgebricArea;
area += tmpArea;
cen += (tri.Centroid * tmpArea).GetAsVector();
bulge = vertices[i].Bulge;
if (Math.Abs(bulge) > 0.0001)
{
arc = pl.GetArcSegment2dAt(i);
tmpArea = arc.AlgebricArea();
tmpPt = arc.Centroid();
area += tmpArea;
cen += (new Point2d(tmpPt.X, tmpPt.Y) * tmpArea).GetAsVector();
}
}
bulge = vertices[last].Bulge;
if (Math.Abs(bulge) > 0.0001 && pl.Closed)
{
arc = pl.GetArcSegment2dAt(last);
tmpArea = arc.AlgebricArea();
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>
/// 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([NotNull] 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([NotNull] Triangle2d t2d)
{
return(IsEqualTo(t2d, Tolerance.Global));
}