/// <summary>
/// Gets the area.
/// </summary>
public double GetArea()
{
double dArea = 0;
for (int i = 0; i < Lines.Count; i++)
{
C2DPoint pt1 = _Lines[i].GetPointFrom();
C2DPoint pt2 = _Lines[i].GetPointTo();
dArea += pt1.x * pt2.y - pt2.x * pt1.y;
}
dArea = dArea / 2.0;
for (int i = 0; i < Lines.Count; i++)
{
if (_Lines[i] is C2DArc)
{
C2DArc Arc = _Lines[i] as C2DArc;
C2DSegment Seg = new C2DSegment(Arc);
dArea += Seg.GetAreaSigned();
}
}
return(Math.Abs(dArea));
}
/// <summary>
/// Returns the centroid.
/// </summary>
public C2DPoint GetCentroid()
{
// Find the centroid and area of the straight line polygon.
C2DPoint Centroid = new C2DPoint(0, 0);
// C2DPoint pti = new C2DPoint();
// C2DPoint ptii;
double dArea = 0;
for (int i = 0; i < Lines.Count; i++)
{
C2DPoint pti = Lines[i].GetPointFrom();
C2DPoint ptii = Lines[i].GetPointTo();
Centroid.x += (pti.x + ptii.x) * (pti.x * ptii.y - ptii.x * pti.y);
Centroid.y += (pti.y + ptii.y) * (pti.x * ptii.y - ptii.x * pti.y);
dArea += pti.x * ptii.y - ptii.x * pti.y;
}
dArea = dArea / 2.0;
Centroid.x = Centroid.x / (6.0 * dArea);
Centroid.y = Centroid.y / (6.0 * dArea);
List <double> dSegAreas = new List <double>();
double dTotalArea = dArea;
List <C2DPoint> SegCentroids = new List <C2DPoint>();
for (int i = 0; i < Lines.Count; i++)
{
if (Lines[i] is C2DArc)
{
C2DSegment Seg = new C2DSegment(Lines[i] as C2DArc);
double dSegArea = Seg.GetAreaSigned();
dTotalArea += dSegArea;
dSegAreas.Add(dSegArea);
SegCentroids.Add(Seg.GetCentroid());
}
}
Centroid.Multiply(dArea);
for (int i = 0; i < dSegAreas.Count; i++)
{
Centroid.x += SegCentroids[i].x * dSegAreas[i];
Centroid.y += SegCentroids[i].y * dSegAreas[i];
}
Centroid.Multiply(1 / dTotalArea);
return(Centroid);
}
/// <summary>
/// Draws a segment filled.
/// </summary>
public void DrawFilled(C2DSegment Segment, Graphics graphics, Brush brush)
{
C2DRect Rect = new C2DRect();
int nStartAngle = 0;
int nSweepAngle = 0;
GetArcParameters(Segment.Arc, Rect, ref nStartAngle, ref nSweepAngle);
if (nSweepAngle == 0)
{
nSweepAngle = 1;
}
int Width = (int)Rect.Width();
if (Width == 0)
{
Width = 1;
}
int Height = (int)Rect.Height();
if (Height == 0)
{
Height = 1;
}
System.Drawing.Drawing2D.GraphicsPath gp = new System.Drawing.Drawing2D.GraphicsPath();
gp.AddArc((int)Rect.TopLeft.x, (int)Rect.BottomRight.y,
Width, Height, nStartAngle, nSweepAngle);
C2DPoint ptFrom = Segment.Arc.Line.GetPointFrom();
C2DPoint ptTo = Segment.Arc.Line.GetPointTo();
ScaleAndOffSet(ptFrom);
ScaleAndOffSet(ptTo);
gp.AddLine((int)ptTo.x, (int)ptTo.y, (int)ptFrom.x, (int)ptFrom.y);
graphics.FillPath(brush, gp);
}
/// <summary>
/// Returns the centroid.
/// </summary>
public C2DPoint GetCentroid()
{
// Find the centroid and area of the straight line polygon.
C2DPoint Centroid = new C2DPoint(0, 0);
// C2DPoint pti = new C2DPoint();
// C2DPoint ptii;
double dArea = 0;
for (int i = 0; i < Lines.Count; i++)
{
C2DPoint pti = Lines[i].GetPointFrom();
C2DPoint ptii = Lines[i].GetPointTo();
Centroid.x += (pti.x + ptii.x) * (pti.x * ptii.y - ptii.x * pti.y);
Centroid.y += (pti.y + ptii.y) * (pti.x * ptii.y - ptii.x * pti.y);
dArea += pti.x * ptii.y - ptii.x * pti.y;
}
dArea = dArea / 2.0;
Centroid.x = Centroid.x / (6.0 * dArea);
Centroid.y = Centroid.y / (6.0 * dArea);
List<double> dSegAreas = new List<double>();
double dTotalArea = dArea;
List<C2DPoint> SegCentroids = new List<C2DPoint>();
for (int i = 0; i < Lines.Count; i++)
{
if (Lines[i] is C2DArc)
{
C2DSegment Seg = new C2DSegment( Lines[i] as C2DArc );
double dSegArea = Seg.GetAreaSigned();
dTotalArea += dSegArea;
dSegAreas.Add( dSegArea );
SegCentroids.Add( Seg.GetCentroid() );
}
}
Centroid.Multiply( dArea);
for (int i = 0; i < dSegAreas.Count; i++)
{
Centroid.x += SegCentroids[i].x * dSegAreas[i];
Centroid.y += SegCentroids[i].y * dSegAreas[i];
}
Centroid.Multiply( 1/ dTotalArea);
return Centroid;
}
/// <summary>
/// Gets the area.
/// </summary>
public double GetArea()
{
double dArea = 0;
for (int i = 0; i < Lines.Count; i++)
{
C2DPoint pt1 = _Lines[i].GetPointFrom();
C2DPoint pt2 = _Lines[i].GetPointTo();
dArea += pt1.x * pt2.y - pt2.x * pt1.y;
}
dArea = dArea / 2.0;
for (int i = 0; i < Lines.Count; i++)
{
if (_Lines[i] is C2DArc)
{
C2DArc Arc = _Lines[i] as C2DArc;
C2DSegment Seg = new C2DSegment( Arc );
dArea += Seg.GetAreaSigned();
}
}
return Math.Abs(dArea);
}
/// <summary>
/// Returns the inverse of this i.e. the other part of the circle to this.
/// </summary>
/// <param name="Other">The other segment.</param>
public void GetInverse(C2DSegment Other)
{
Other.Set(Arc.Line, Arc.Radius,
Arc.CentreOnRight, !Arc.ArcOnRight);
}
/// <summary>
/// Returns the inverse of this i.e. the other part of the circle to this.
/// </summary>
/// <param name="Other">The other segment.</param>
public void GetInverse( C2DSegment Other)
{
Other.Set(Arc.Line, Arc.Radius,
Arc.CentreOnRight, !Arc.ArcOnRight );
}
/// <summary>
/// Draws a segment filled.
/// </summary>
public void DrawFilled(C2DSegment Segment, Graphics graphics, Brush brush)
{
C2DRect Rect = new C2DRect();
int nStartAngle = 0;
int nSweepAngle = 0;
GetArcParameters(Segment.Arc, Rect, ref nStartAngle, ref nSweepAngle);
if (nSweepAngle == 0)
nSweepAngle = 1;
int Width = (int)Rect.Width();
if (Width == 0)
Width = 1;
int Height = (int)Rect.Height();
if (Height == 0)
Height = 1;
System.Drawing.Drawing2D.GraphicsPath gp = new System.Drawing.Drawing2D.GraphicsPath();
gp.AddArc((int)Rect.TopLeft.x, (int)Rect.BottomRight.y,
Width, Height, nStartAngle, nSweepAngle);
C2DPoint ptFrom = Segment.Arc.Line.GetPointFrom();
C2DPoint ptTo = Segment.Arc.Line.GetPointTo();
ScaleAndOffSet(ptFrom);
ScaleAndOffSet(ptTo);
gp.AddLine((int)ptTo.x, (int)ptTo.y, (int)ptFrom.x, (int)ptFrom.y);
graphics.FillPath(brush, gp);
}
/// <summary>
/// Draws a Segment
/// </summary>
public void Draw(C2DSegment Segment, Graphics graphics, Pen pen)
{
Draw(Segment.Arc, graphics, pen);
Draw(Segment.Arc.Line, graphics, pen);
}
/// <summary>
/// Draws a Segment
/// </summary>
public void Draw(C2DSegment Segment, Graphics graphics, Pen pen)
{
Draw(Segment.Arc, graphics, pen);
Draw(Segment.Arc.Line, graphics, pen);
}
