private static Point3D[] GetSpherePlacement2(int count, double radius, Point3D[] existing)
{
Vector3D[] retVal = new Vector3D[count];
// Place them randomly
for (int cntr = 0; cntr < count; cntr++)
{
retVal[cntr] = Math3D.GetRandomVector_Spherical(radius);
}
//int existingLength = existing == null ? 0 : existing.Length;
//if (count + existingLength < 50)
//{
//}
//else
//{
// //TODO: Use a quadtree
// throw new ApplicationException("finish this");
//}
// Exit Function
return retVal.Select(o => o.ToPoint()).ToArray();
}
private void ShowVoronoi(Vector3D[] after)
{
Point[] points2D = after.Select(o => new Point(o.X, o.Y)).ToArray();
var result = Math2D.GetVoronoi(points2D, true);
if (chkCapVoronoi.IsChecked.Value)
{
//result = CapVoronoi.CapCircle(result);
result = Math2D.CapVoronoiCircle(result);
}
#region Edges
ScreenSpaceLines3D lines = new ScreenSpaceLines3D();
lines.Color = UtilityWPF.ColorFromHex("808080");
lines.Thickness = 1d;
foreach (var edge in result.Edges)
{
switch (edge.EdgeType)
{
case EdgeType.Segment:
lines.AddLine(edge.Point0.ToPoint3D(), edge.Point1.Value.ToPoint3D());
break;
case EdgeType.Ray:
lines.AddLine(edge.Point0.ToPoint3D(), edge.Point0.ToPoint3D() + (edge.Direction.Value.ToVector3D().ToUnit() * 100));
break;
case EdgeType.Line:
Point3D point3D = edge.Point0.ToPoint3D();
Vector3D dir3D = edge.Direction.Value.ToVector3D().ToUnit() * 100;
lines.AddLine(point3D - dir3D, point3D + dir3D);
break;
default:
throw new ApplicationException("Unknown EdgeType: " + edge.EdgeType.ToString());
}
}
_visuals.Add(lines);
_viewport.Children.Add(lines);
#endregion
#region Polygons
#endregion
}
private static Neuron_ZeroPos[] CreateNeurons(Vector3D[] thrustDirections)
{
Neuron_ZeroPos[] retVal;
if (thrustDirections.Length == 1)
{
// Since there's only one, just put it in the center
retVal = new Neuron_ZeroPos[] { new Neuron_ZeroPos(new Point3D(0, 0, 0)) };
}
else
{
// Place the neurons along the direction of the corresponding thrust (the directions are already unit vectors)
retVal = thrustDirections.Select(o => new Neuron_ZeroPos(o.ToPoint())).ToArray();
}
return retVal;
}
private void ShowDelaunay(Vector3D[] points, bool showLines, bool showCenters, bool reconstructTriangles)
{
if (!showLines && !showCenters && !reconstructTriangles)
{
return;
}
Point3D[] points3D = points.Select(o => o.ToPoint()).ToArray();
Point[] points2D = points3D.Select(o => new Point(o.X, o.Y)).ToArray();
TriangleIndexed[] triangles = Math2D.GetDelaunayTriangulation(points2D, points3D);
if (showLines)
{
#region Lines
ScreenSpaceLines3D lines = new ScreenSpaceLines3D();
lines.Color = UtilityWPF.ColorFromHex("709070");
lines.Thickness = 1d;
foreach (var line in TriangleIndexed.GetUniqueLines(triangles))
{
lines.AddLine(points3D[line.Item1], points3D[line.Item2]);
}
_visuals.Add(lines);
_viewport.Children.Add(lines);
#endregion
}
if (showCenters)
{
#region Centers
Color color = Colors.Red;
// Material
MaterialGroup materials = new MaterialGroup();
materials.Children.Add(new DiffuseMaterial(new SolidColorBrush(color)));
materials.Children.Add(new SpecularMaterial(new SolidColorBrush(UtilityWPF.AlphaBlend(color, Colors.White, .5d)), 100d));
Model3DGroup geometries = new Model3DGroup();
for (int cntr = 0; cntr < triangles.Length; cntr++)
{
// Geometry Model
GeometryModel3D geometry = new GeometryModel3D();
geometry.Material = materials;
geometry.BackMaterial = materials;
geometry.Geometry = UtilityWPF.GetSphere_LatLon(2, .04d);
geometry.Transform = new TranslateTransform3D(triangles[cntr].GetCenterPoint().ToVector());
geometries.Children.Add(geometry);
}
// Add it
AddVisual(geometries);
#endregion
}
if (reconstructTriangles)
{
ShowReconstructTriangles(triangles.Select(o => o.GetCenterPoint()).ToArray());
}
}
public double GetPositionSD(Vector3D[] data)
{
Vector3D mean = GetMeanVector(data);
return Math.Sqrt(data.Select(x => Math.Pow((x - mean).Length, 2)).Sum() / data.Length);
}