//
// Atomize the circle by creating:
// (1) all radii connecting to other known polygon / circle intersection points.
// (2) all chords connecting the radii
//
// All constructed segments may intersect at imaginary points; these need to be calculated
//
public static List<GeometryTutorLib.Area_Based_Analyses.Atomizer.AtomicRegion> Atomize(GeometryTutorLib.ConcreteAST.Circle circle)
{
List<GeometryTutorLib.Area_Based_Analyses.Atomizer.AtomicRegion> atoms = new List<GeometryTutorLib.Area_Based_Analyses.Atomizer.AtomicRegion>();
List<GeometryTutorLib.ConcreteAST.Point> interPts = circle.GetIntersectingPoints();
//
// Construct the radii
//
List<GeometryTutorLib.ConcreteAST.Segment> radii = new List<GeometryTutorLib.ConcreteAST.Segment>();
foreach (GeometryTutorLib.ConcreteAST.Point interPt in interPts)
{
radii.Add(new GeometryTutorLib.ConcreteAST.Segment(circle.center, interPt));
}
//
// Construct the chords
//
List<GeometryTutorLib.ConcreteAST.Segment> chords = new List<GeometryTutorLib.ConcreteAST.Segment>();
for (int p1 = 0; p1 < interPts.Count - 1; p1++)
{
for (int p2 = p1 + 1; p2 < interPts.Count; p2++)
{
chords.Add(new GeometryTutorLib.ConcreteAST.Segment(interPts[p1], interPts[p2]));
}
}
//
// Do any of the chords intersect the radii?
//
//
// Do the chords intersect each other?
//
return new List<GeometryTutorLib.Area_Based_Analyses.Atomizer.AtomicRegion>();
}
//
// If no radii are drawn, construct them as well as the chords connecting them.
//
private void AddImpliedSegments(GeometryTutorLib.ConcreteAST.Circle circle)
{
List<GeometryTutorLib.ConcreteAST.Segment> constructedChords = new List<GeometryTutorLib.ConcreteAST.Segment>();
List<GeometryTutorLib.ConcreteAST.Segment> constructedRadii = new List<GeometryTutorLib.ConcreteAST.Segment>();
List<Point> imagPoints = new List<Point>();
List<GeometryTutorLib.ConcreteAST.Point> interPts = circle.GetIntersectingPoints();
// If there are no points of interest, the circle is the atomic region.
if (!interPts.Any()) return;
// Construct the radii
foreach (Point interPt in interPts)
{
GeometryTutorLib.Utilities.AddStructurallyUnique<GeometryTutorLib.ConcreteAST.Segment>(implied.segments,
new GeometryTutorLib.ConcreteAST.Segment(circle.center, interPt));
}
// Construct the chords
for (int p1 = 0; p1 < interPts.Count - 1; p1++)
{
for (int p2 = p1 + 1; p2 < interPts.Count; p2++)
{
GeometryTutorLib.Utilities.AddStructurallyUnique<GeometryTutorLib.ConcreteAST.Segment>(implied.segments,
new GeometryTutorLib.ConcreteAST.Segment(interPts[p1], interPts[p2]));
}
}
}