Added demonstration bowyer watson walkthrough algorithm with a simple example triangle
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@@ -38,6 +38,7 @@ public partial class MainWindowViewModel : ViewModelBase
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[ObservableProperty] private bool _doNearestTriangle = false;
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[ObservableProperty] private bool _doDelaunayLib = false;
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[ObservableProperty] private bool _doBowyerWatson = true;
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[ObservableProperty] private bool _doDemonstration = false;
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[ObservableProperty] private int? _generationDelay = 20;
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private CancellationTokenSource? _genCts;
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@@ -160,8 +161,6 @@ public partial class MainWindowViewModel : ViewModelBase
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i--;
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retry++;
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}
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;
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}
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l.Sort(Geometries.PointComparer.Instance);
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@@ -566,6 +565,149 @@ public partial class MainWindowViewModel : ViewModelBase
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}
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}
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async Task DemonstrationDelaunay(CancellationToken ct)
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{
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async Task RunCancellationSafe(Action toRun)
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{
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toRun();
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await DelayAsync(ct);
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ct.ThrowIfCancellationRequested();
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}
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// first point
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var c = new Geometries.Point(Width / 2, Height / 2);
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await RunCancellationSafe(() => Points.Add(c));
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// build super triangle
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var t1 = new Geometries.Point(c.X, c.Y - 100);
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var t2 = new Geometries.Point(c.X - 100, c.Y + 75);
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var t3 = new Geometries.Point(c.X + 100, c.Y + 75);
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await RunCancellationSafe(() => Points.Add(t1));
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await RunCancellationSafe(() => Points.Add(t2));
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await RunCancellationSafe(() => Points.Add(t3));
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// combine Points
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var e1 = new Geometries.Edge(t1.X, t1.Y, t2.X, t2.Y);
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var e2 = new Geometries.Edge(t1.X, t1.Y, t3.X, t3.Y);
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var e3 = new Geometries.Edge(t2.X, t2.Y, t3.X, t3.Y);
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var e4 = new Geometries.Edge(t1.X, t1.Y, c.X, c.Y);
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var e5 = new Geometries.Edge(t2.X, t2.Y, c.X, c.Y);
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var e6 = new Geometries.Edge(t3.X, t3.Y, c.X, c.Y);
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await RunCancellationSafe(() => Edges.Add(e1));
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await RunCancellationSafe(() => Edges.Add(e2));
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await RunCancellationSafe(() => Edges.Add(e3));
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await RunCancellationSafe(() => Edges.Add(e4));
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await RunCancellationSafe(() => Edges.Add(e5));
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await RunCancellationSafe(() => Edges.Add(e6));
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// show circumcircles to ensure delaunay criteria
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var c1 = new Geometries.Circle(t1, t2, c);
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var c2 = new Geometries.Circle(t2, t3, c);
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var c3 = new Geometries.Circle(t1, t3, c);
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await RunCancellationSafe(() => Circles.Add(c1));
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await RunCancellationSafe(() => Circles.Add(c2));
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await RunCancellationSafe(() => Circles.Add(c3));
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// add extra point which breaks delaunay criteria
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var t4 = new Geometries.Point(c.X - 50, c.Y + 35);
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await RunCancellationSafe(() => Points.Add(t4));
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// Fix triangulation
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await RunCancellationSafe(() => Circles.Remove(c1));
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await RunCancellationSafe(() => Circles.Remove(c2));
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await RunCancellationSafe(() => Edges.Remove(e1));
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await RunCancellationSafe(() => Edges.Remove(e3));
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await RunCancellationSafe(() => Edges.Remove(e5));
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// add new edges
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e5 = new Geometries.Edge(t2.X, t2.Y, t4.X, t4.Y);
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var e7 = new Geometries.Edge(t1.X, t1.Y, t4.X, t4.Y);
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var e8 = new Geometries.Edge(t3.X, t3.Y, t4.X, t4.Y);
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var e9 = new Geometries.Edge(c.X, c.Y, t4.X, t4.Y);
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await RunCancellationSafe(() => Edges.Add(e1));
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await RunCancellationSafe(() => Edges.Add(e3));
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await RunCancellationSafe(() => Edges.Add(e5));
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await RunCancellationSafe(() => Edges.Add(e7));
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await RunCancellationSafe(() => Edges.Add(e8));
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await RunCancellationSafe(() => Edges.Add(e9));
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c1 = new Geometries.Circle(t1, t2, t4);
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c2 = new Geometries.Circle(t2, t4, t3);
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var c4 = new Geometries.Circle(t1, t4, c);
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var c5 = new Geometries.Circle(t4, t3, c);
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await RunCancellationSafe(() => Circles.Add(c1));
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await RunCancellationSafe(() => Circles.Add(c2));
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await RunCancellationSafe(() => Circles.Add(c4));
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await RunCancellationSafe(() => Circles.Add(c5));
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// add another point
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var t5 = new Geometries.Point(c.X + 50, c.Y + 45);
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await RunCancellationSafe(() => Points.Add(t5));
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await RunCancellationSafe(() => Circles.Remove(c2));
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await RunCancellationSafe(() => Circles.Remove(c3));
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await RunCancellationSafe(() => Circles.Remove(c5));
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await RunCancellationSafe(() => Edges.Remove(e3));
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await RunCancellationSafe(() => Edges.Remove(e8));
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await RunCancellationSafe(() => Edges.Remove(e6));
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await RunCancellationSafe(() => Edges.Remove(e2));
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e6 = new Geometries.Edge(c.X, c.Y, t5.X, t5.Y);
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e8 = new Geometries.Edge(t2.X, t2.Y, t5.X, t5.Y);
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var e10 = new Geometries.Edge(t5.X, t5.Y, t3.X, t3.Y);
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var e11 = new Geometries.Edge(t5.X, t5.Y, t4.X, t4.Y);
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var e12 = new Geometries.Edge(t5.X, t5.Y, t1.X, t1.Y);
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await RunCancellationSafe(() => Edges.Add(e3));
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await RunCancellationSafe(() => Edges.Add(e2));
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await RunCancellationSafe(() => Edges.Add(e6));
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await RunCancellationSafe(() => Edges.Add(e8));
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await RunCancellationSafe(() => Edges.Add(e10));
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await RunCancellationSafe(() => Edges.Add(e11));
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await RunCancellationSafe(() => Edges.Add(e12));
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c2 = new Geometries.Circle(t2, t5, t3);
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c3 = new Geometries.Circle(t1, t5, t3);
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c5 = new Geometries.Circle(c, t4, t5);
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var c6 = new Geometries.Circle(t2, t4, t5);
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var c7 = new Geometries.Circle(t1, c, t5);
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await RunCancellationSafe(() => Circles.Add(c2));
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await RunCancellationSafe(() => Circles.Add(c3));
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await RunCancellationSafe(() => Circles.Add(c5));
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await RunCancellationSafe(() => Circles.Add(c6));
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await RunCancellationSafe(() => Circles.Add(c7));
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// remove super triangle
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await RunCancellationSafe(() => Circles.Remove(c1));
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await RunCancellationSafe(() => Circles.Remove(c2));
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await RunCancellationSafe(() => Circles.Remove(c3));
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await RunCancellationSafe(() => Circles.Remove(c4));
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await RunCancellationSafe(() => Circles.Remove(c6));
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await RunCancellationSafe(() => Circles.Remove(c7));
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await RunCancellationSafe(() => Edges.Remove(e1));
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await RunCancellationSafe(() => Edges.Remove(e2));
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await RunCancellationSafe(() => Edges.Remove(e3));
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await RunCancellationSafe(() => Edges.Remove(e4));
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await RunCancellationSafe(() => Edges.Remove(e5));
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await RunCancellationSafe(() => Edges.Remove(e7));
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await RunCancellationSafe(() => Edges.Remove(e8));
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await RunCancellationSafe(() => Edges.Remove(e10));
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await RunCancellationSafe(() => Edges.Remove(e12));
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await RunCancellationSafe(() => Points.Remove(t1));
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await RunCancellationSafe(() => Points.Remove(t2));
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await RunCancellationSafe(() => Points.Remove(t3));
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}
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public void CancelGeneration() => _genCts?.CancelAsync();
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private Task DelayAsync(CancellationToken ct) =>
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@@ -595,12 +737,14 @@ public partial class MainWindowViewModel : ViewModelBase
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IsGenerationRunning = true;
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await GenerateRandomPoints(PointCount ?? 20, ct);
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if(!DoDemonstration) await GenerateRandomPoints(PointCount ?? 20, ct);
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if(DoConnectPoints) await ConnectPoints(ct);
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else if(DoConnectPointsV2) await ConnectPointsV2(ct);
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else if(DoNearestTriangle) await Triangulate(ct);
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else if(DoDelaunayLib) await DelaunayTriangulateAsync(ct);
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else if(DoBowyerWatson) await BowyerWatson(ct);
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else if (DoDemonstration) await DemonstrationDelaunay(ct);
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IsGenerationRunning = false;
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}
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@@ -118,7 +118,7 @@
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</Grid>
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<Grid ColumnDefinitions="1*, 1*">
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<RadioButton GroupName="Algorithm" HorizontalAlignment="Left" Content="Delaunay (Delaunator)" IsChecked="{Binding DoDelaunayLib}" Foreground="{DynamicResource B.Text}" Margin="10,0"/>
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<!-- <RadioButton Grid.Column="1" GroupName="Algorithm" HorizontalAlignment="Left" Content="Delaunay (Delaunator)" IsChecked="{Binding DoDelaunayLib}" Foreground="{DynamicResource B.Text}" Margin="10,0"/> -->
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<RadioButton Grid.Column="1" GroupName="Algorithm" HorizontalAlignment="Left" Content="Demonstration" IsChecked="{Binding DoDemonstration}" Foreground="{DynamicResource B.Text}" Margin="10,0"/>
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</Grid>
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</StackPanel>
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</Border>
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