/***************************************************/
public static bool IsClockwise(this PolyCurve curve, Point viewPoint, double tolerance = Tolerance.Distance)
{
Plane plane = curve.FitPlane(tolerance);
Point projectedPoint = viewPoint.Project(plane);
Vector vector = (projectedPoint - viewPoint).Normalise();
return(IsClockwise(curve, vector));
}
/***************************************************/
public static double Area(this PolyCurve curve)
{
if (curve.Curves.Count == 1 && curve.Curves[0] is Circle)
{
return((curve.Curves[0] as Circle).Area());
}
if (!curve.IsClosed())
{
return(0);
}
Plane p = curve.FitPlane();
if (p == null)
{
return(0.0); // points are collinear
}
Point sPt = curve.StartPoint();
double area = 0;
foreach (ICurve c in curve.SubParts())
{
if (c is NurbsCurve)
{
throw new NotImplementedException("Area of NurbsCurve is not imlemented yet so the area of this PolyCurve cannot be calculated");
}
Point ePt = c.IEndPoint();
Vector prod = CrossProduct(sPt - p.Origin, ePt - p.Origin);
area += prod * p.Normal * 0.5;
if (c is Arc)
{
Arc arc = c as Arc;
double radius = arc.Radius;
double angle = arc.Angle();
double arcArea = (angle - Math.Sin(angle)) * radius * radius * 0.5;
if (arc.CoordinateSystem.Z.DotProduct(p.Normal) > 0)
{
area += arcArea;
}
else
{
area -= arcArea;
}
}
sPt = ePt.Clone();
}
return(Math.Abs(area));
}
/***************************************************/
public static bool IsContaining(this PolyCurve curve, List <Point> points, bool acceptOnEdge = true, double tolerance = Tolerance.Distance)
{
// Todo:
// - to be replaced with a general method for a nurbs curve?
// - this is very problematic for edge cases (cutting line going through a sharp corner, to be superseded?
BoundingBox box = curve.Bounds();
if (points.Any(x => !box.IsContaining(x, true, tolerance)))
{
return(false);
}
if (!curve.IsClosed(tolerance))
{
return(false);
}
if (curve.Curves.Count == 1 && curve.Curves[0] is Circle)
{
return(IsContaining(curve.Curves[0] as Circle, points, acceptOnEdge, tolerance));
}
Plane p = curve.FitPlane(tolerance);
double sqTol = tolerance * tolerance;
if (p == null)
{
if (acceptOnEdge)
{
foreach (Point pt in points)
{
if (curve.ClosestPoint(pt).SquareDistance(pt) > sqTol)
{
return(false);
}
}
return(true);
}
else
{
return(false);
}
}
List <ICurve> subParts = curve.SubParts();
List <Vector> edgeDirections = subParts.Where(s => s is Line).Select(c => (c as Line).Direction()).ToList();
foreach (Point pt in points)
{
Point pPt = pt.Project(p);
if (pPt.SquareDistance(pt) > sqTol) // not on the same plane
{
return(false);
}
Point end = p.Origin; // Avrage of control points
Vector direction = (end - pPt).Normalise(); // Gets a line cutting through the curves and the point
while (direction.SquareLength() <= 0.5 || edgeDirections.Any(e => 1 - Math.Abs(e.DotProduct(direction)) <= Tolerance.Angle)) // not zeroa or parallel to edges
{
end = end.Translate(Create.RandomVectorInPlane(p, true));
direction = (end - pPt).Normalise();
}
Line ray = new Line {
Start = pPt, End = end
};
ray.Infinite = true;
List <Point> intersects = new List <Point>();
List <Point> extraIntersects = new List <Point>();
foreach (ICurve subPart in subParts)
{
List <Point> iPts = subPart.ILineIntersections(ray, false, tolerance); // LineIntersection ignores the `false`
foreach (Point iPt in iPts)
{
double signedAngle = direction.SignedAngle(subPart.ITangentAtPoint(iPt, tolerance), p.Normal);
if ((subPart.IStartPoint().SquareDistance(iPt) <= sqTol)) // Keep intersections from beeing counted twice?
{
if (signedAngle >= -Tolerance.Angle) // tangent is to the left of the direction
{
intersects.Add(iPt);
}
else
{
extraIntersects.Add(iPt);
}
}
else if ((subPart.IEndPoint().SquareDistance(iPt) <= sqTol))
{
if (signedAngle <= Tolerance.Angle) // tangent is to the rigth of the direction
{
intersects.Add(iPt);
}
else
{
extraIntersects.Add(iPt);
}
}
else if (Math.Abs(signedAngle) <= Tolerance.Angle) // They are parallel
{
extraIntersects.Add(iPt);
}
else
{
intersects.Add(iPt);
}
}
}
if (intersects.Count == 0) // did not intersect the curve (strange)
{
return(false);
}
if ((pPt.ClosestPoint(intersects.Union(extraIntersects)).SquareDistance(pPt) <= sqTol)) // if any intersection point is the point
{
if (acceptOnEdge)
{
continue;
}
else
{
return(false);
}
}
intersects.Add(pPt);
intersects = intersects.SortCollinear(tolerance);
for (int j = 0; j < intersects.Count; j++) // Even indecies on a colinerar sort is outside the region
{
if (j % 2 == 0 && intersects[j] == pPt)
{
return(false);
}
}
}
return(true);
}
/***************************************************/
public static bool IsContaining(this PolyCurve curve, List <Point> points, bool acceptOnEdge = true, double tolerance = Tolerance.Distance)
{
// Todo:
// - to be replaced with a general method for a nurbs curve?
// - this is very problematic for edge cases (cutting line going through a sharp corner, to be superseded?
if (curve.IsClosed(tolerance))
{
Plane p = curve.FitPlane(tolerance);
double sqTol = tolerance * tolerance;
if (p == null)
{
if (acceptOnEdge)
{
foreach (Point pt in points)
{
if (curve.ClosestPoint(pt).SquareDistance(pt) > sqTol)
{
return(false);
}
}
return(true);
}
else
{
return(false);
}
}
else
{
List <ICurve> subParts = curve.SubParts();
List <Vector> edgeDirections = subParts.Where(s => s is Line).Select(c => (c as Line).Direction()).ToList();
foreach (Point pt in points)
{
Point pPt = pt.Project(p);
if (pPt.SquareDistance(pt) <= sqTol)
{
Point end = p.Origin;
Vector direction = (end - pPt).Normalise();
while (direction.SquareLength() <= sqTol || edgeDirections.Any(e => 1 - Math.Abs(e.DotProduct(direction)) <= Tolerance.Angle))
{
end = end.Translate(Create.RandomVectorInPlane(p, true));
direction = (end - pPt).Normalise();
}
Line ray = new Line {
Start = pPt, End = end
};
ray.Infinite = true;
List <Point> intersects = new List <Point>();
List <Point> extraIntersects = new List <Point>();
foreach (ICurve subPart in subParts)
{
List <Point> iPts = subPart.ILineIntersections(ray, false, tolerance);
foreach (Point iPt in iPts)
{
double signedAngle = direction.SignedAngle(subPart.ITangentAtPoint(iPt, tolerance), p.Normal);
if ((subPart.IStartPoint().SquareDistance(iPt) <= sqTol))
{
if (signedAngle >= -Tolerance.Angle)
{
intersects.Add(iPt);
}
else
{
extraIntersects.Add(iPt);
}
}
else if ((subPart.IEndPoint().SquareDistance(iPt) <= sqTol))
{
if (signedAngle <= Tolerance.Angle)
{
intersects.Add(iPt);
}
else
{
extraIntersects.Add(iPt);
}
}
else if (Math.Abs(signedAngle) <= Tolerance.Angle)
{
extraIntersects.Add(iPt);
}
else
{
intersects.Add(iPt);
}
}
}
if (intersects.Count == 0)
{
return(false);
}
if ((pPt.ClosestPoint(intersects.Union(extraIntersects)).SquareDistance(pPt) <= sqTol))
{
if (acceptOnEdge)
{
continue;
}
else
{
return(false);
}
}
intersects.Add(pPt);
intersects = intersects.SortCollinear(tolerance);
for (int j = 0; j < intersects.Count; j++)
{
if (j % 2 == 0 && intersects[j] == pPt)
{
return(false);
}
}
}
else
{
return(false);
}
}
return(true);
}
}
return(false);
}
public static double Area(this PolyCurve curve, double tolerance = Tolerance.Distance)
{
if (curve == null)
{
BH.Engine.Reflection.Compute.RecordError("Cannot query area as the geometry is null.");
return(double.NaN);
}
if (curve.Curves.Count == 1 && curve.Curves[0] is Circle)
{
return((curve.Curves[0] as Circle).Area(tolerance));
}
if (!curve.IsClosed(tolerance))
{
Reflection.Compute.RecordWarning("Cannot calculate area for an open curve.");
return(0);
}
Plane p = curve.FitPlane(tolerance);
if (p == null)
{
return(0.0); // points are collinear
}
Point sPt = curve.StartPoint();
double area = 0;
foreach (ICurve c in curve.SubParts())
{
if (c is NurbsCurve)
{
Reflection.Compute.RecordError("Area for NurbsuCurve is not implemented.");
return(double.NaN);
}
Point ePt = c.IEndPoint();
Vector prod = CrossProduct(sPt - p.Origin, ePt - p.Origin);
area += prod * p.Normal * 0.5;
if (c is Arc)
{
Arc arc = c as Arc;
double radius = arc.Radius;
double angle = arc.Angle();
double arcArea = (angle - Math.Sin(angle)) * radius * radius * 0.5;
if (arc.CoordinateSystem.Z.DotProduct(p.Normal) > 0)
{
area += arcArea;
}
else
{
area -= arcArea;
}
}
sPt = ePt.DeepClone();
}
return(Math.Abs(area));
}
