public void EdgesWithTwoTouchingPolygons()
{
var builder = PlanePolygonBuilder.CreatePolygonBuilder();
builder.AddEdge(new Vector3(1.363289f, 0.325342f, 0), new Vector3(0.532633f, -0.758319f, 0));
builder.AddEdge(new Vector3(1.874113f, 0.991756f, 0), new Vector3(1.363289f, 0.325342f, 0));
builder.AddEdge(new Vector3(-0.884818f, 1.403969f, 0), new Vector3(-0.616898f, 1.753494f, 0));
builder.AddEdge(new Vector3(-1.009216f, 1.241681f, 0), new Vector3(-0.884818f, 1.403969f, 0));
builder.AddEdge(new Vector3(-0.256794f, 0.265680f, 0), new Vector3(-1.009216f, 1.241681f, 0));
builder.AddEdge(new Vector3(0.532633f, -0.758319f, 0), new Vector3(-0.256793f, 0.265680f, 0));
builder.AddEdge(new Vector3(0.989307f, 2.139478f, 0), new Vector3(1.874113f, 0.991756f, 0));
builder.AddEdge(new Vector3(-0.616898f, 1.753494f, 0), new Vector3(-0.145745f, 1.866717f, 0));
builder.AddEdge(new Vector3(-0.145745f, 1.866717f, 0), new Vector3(0.779111f, 2.088966f, 0));
builder.AddEdge(new Vector3(0.779111f, 2.088966f, 0), new Vector3(0.989307f, 2.139478f, 0));
builder.AddEdge(new Vector3(0.951598f, 1.471772f, 0), new Vector3(0.935504f, 1.772997f, 0));
builder.AddEdge(new Vector3(1.010642f, 0.366718f, 0), new Vector3(0.951598f, 1.471772f, 0));
builder.AddEdge(new Vector3(0.935504f, 1.772997f, 0), new Vector3(-0.145745f, 1.866717f, 0));
builder.AddEdge(new Vector3(-0.094393f, 0.905628f, 0), new Vector3(-0.070607f, 0.460440f, 0));
builder.AddEdge(new Vector3(-0.145745f, 1.866717f, 0), new Vector3(-0.094393f, 0.905628f, 0));
builder.AddEdge(new Vector3(0.449942f, 0.415320f, 0), new Vector3(1.010642f, 0.366718f, 0));
builder.AddEdge(new Vector3(-0.070607f, 0.460440f, 0), new Vector3(0.449942f, 0.415320f, 0));
var polygon = builder.BuildPolygon().Polygon;
Assert.AreEqual(1, polygon.SubPolygonIds.Count());
var triangulator = new PolygonTriangulator(polygon);
var splits = triangulator.GetSplits();
Assert.IsNotNull(splits);
var triangles = triangulator.BuildTriangles();
Assert.IsNotNull(triangles);
}
public void SplitAtJoin2()
{
var sortedVertices = new[]
{
new Vertex(0.0f, 0.0f), // 0 0
new Vertex(1.0f, 0.5f), // 6 1
new Vertex(1.5f, 1.0f), // 7 2
new Vertex(2.0f, 0.0f), // 4 3
new Vertex(3.0f, 0.5f), // 5 4
new Vertex(3.5f, 0.0f), // 3 5
new Vertex(4.0f, 4.0f), // 1 6
new Vertex(5.0f, 0.0f), // 2 7
};
var polygon1 = Polygon.Build(sortedVertices)
.AddVertices(3, 0, 6, 7, 5)
.ClosePartialPolygon()
.AddVertices(4, 2, 1)
.Close();
var triangleCollector = PolygonTriangulator.CreateTriangleCollector();
var triangluator = new PolygonTriangulator(polygon1);
var splits = string.Join(" ", triangluator.GetSplits().OrderBy(x => x.Item1).ThenBy(x => x.Item2).Select(x => $"{x.Item1}-{x.Item2}"));
Assert.AreEqual("0-1 1-3 3-4 4-5 5-6", splits);
var specialSplits = new[] { (4, 5), (3, 4), (0, 1), (1, 3), (5, 6) }
public void InnerPolygonTopLeft()
{
var sortedVertices = new[]
{
new Vertex(0, 0),
new Vertex(1, 2),
new Vertex(1, 3), // 2
new Vertex(2, 2),
new Vertex(3, 3), // 4
new Vertex(4, 2),
new Vertex(5, 2),
new Vertex(5, 3), // 7
new Vertex(6, 1),
};
var polygon = Polygon.Build(sortedVertices)
.AddVertices(0, 2, 4, 7, 8)
.ClosePartialPolygon()
.AddVertices(4, 1, 3)
.Close(4);
var triangluator = new PolygonTriangulator(polygon);
var splits = string.Join(" ", triangluator.GetSplits().OrderBy(x => x.Item1).ThenBy(x => x.Item2).Select(x => $"{x.Item1}-{x.Item2}"));
Assert.AreEqual("0-1 1-2", splits);
}
public void FusionWithClosingAboveTransition()
{
var vertices = new[]
{
new Vertex(-2.04168500f, 0.05391948f),
new Vertex(-1.73525800f, -0.39220070f),
new Vertex(-1.59090200f, 0.81340110f),
new Vertex(-1.28913800f, -1.04169800f),
new Vertex(-1.18307500f, 1.50051100f),
new Vertex(-1.16461800f, -0.62563610f),
new Vertex(-1.13713300f, 0.22282370f),
new Vertex(-1.10918100f, 1.08569700f),
new Vertex(-0.98826190f, -1.09449200f),
new Vertex(-0.96441320f, 1.46214300f),
new Vertex(-0.96191410f, 1.11436200f),
new Vertex(-0.94439380f, -0.58277110f),
new Vertex(-0.38140370f, -1.20097700f),
new Vertex(-0.24038320f, -1.22572200f),
new Vertex(-0.07887594f, -0.41430300f),
new Vertex(-0.02343902f, 1.29703000f),
new Vertex(0.27925600f, -0.35023050f),
new Vertex(0.44308910f, 1.21516900f),
new Vertex(0.85362760f, 0.61747490f),
};
var polygon = Polygon.Build(vertices)
.AddVertices(11, 14, 15, 17, 18, 16, 13, 12, 8, 3, 1, 0, 2, 4, 9, 15, 10, 7, 6, 5)
.ClosePartialPolygon()
.Close(15);
var triangluator = new PolygonTriangulator(polygon);
var splits = string.Join(" ", triangluator.GetSplits().OrderBy(x => x.Item1).ThenBy(x => x.Item2).Select(x => $"{x.Item1}-{x.Item2}"));
Assert.AreEqual("1-2 2-3 3-4 4-5 5-8 7-9 8-11 9-10 11-12 13-14 15-16 16-17", splits);
}
public void TriangulateForm1()
{
var sortedVertices = new[]
{
new Vertex(1, 1), // 0
new Vertex(1, 3),
new Vertex(1.5f, 3), // 2
new Vertex(2, 2),
new Vertex(2, 4), // 4
new Vertex(2.5f, 1),
new Vertex(2.5f, 2), // 6
new Vertex(2.5f, 3),
new Vertex(3.5f, 2.5f), // 8
new Vertex(3.5f, 1),
new Vertex(4, 1.5f), // 10
new Vertex(4, 3.5f),
new Vertex(4, 4), // 12
};
var polygon = Polygon.Build(sortedVertices)
.AddVertices(5, 0, 6, 3, 1, 4, 12, 2, 7, 11, 8, 10, 9)
.Close();
Assert.AreEqual("5 0 6 3 1 4 12 2 7 11 8 10 9", string.Join(" ", polygon.SubPolygonVertices(0)));
var triangluator = new PolygonTriangulator(polygon);
var splits = string.Join(" ", triangluator.GetSplits().OrderBy(x => x.Item1).ThenBy(x => x.Item2).Select(x => $"{x.Item1}-{x.Item2}"));
Assert.AreEqual("1-2 2-3 2-4 5-6 6-7 7-8 8-9", splits);
var triangles = triangluator.BuildTriangles();
Assert.IsTrue(VerifyTriangle(triangles, 0, 6, 5));
Assert.IsTrue(VerifyTriangle(triangles, 1, 2, 3));
Assert.IsTrue(VerifyTriangle(triangles, 1, 4, 2));
Assert.IsTrue(VerifyTriangle(triangles, 2, 7, 3));
Assert.IsTrue(VerifyTriangle(triangles, 2, 4, 12));
Assert.IsTrue(VerifyTriangle(triangles, 3, 7, 6));
Assert.IsTrue(VerifyTriangle(triangles, 5, 6, 8));
Assert.IsTrue(VerifyTriangle(triangles, 5, 8, 9));
Assert.IsTrue(VerifyTriangle(triangles, 6, 7, 8));
Assert.IsTrue(VerifyTriangle(triangles, 7, 11, 8));
Assert.IsTrue(VerifyTriangle(triangles, 8, 10, 9));
Assert.AreEqual(11 * 3, triangles.Length);
}
private void triangulateButton_Click(object sender, EventArgs e)
{
this.vertexText.Text = string.Empty;
var lines = new List <string>();
var collector = PolygonTriangulator.CreateTriangleCollector();
try
{
var triangulator = new PolygonTriangulator(this.controller.Polygon);
var splits = triangulator.GetSplits();
lines.Add("Splits");
lines.AddRange(splits.Select(x => $"{x.Item1} - {x.Item2}"));
lines.Add("");
var monotones = Polygon.Split(this.controller.Polygon, splits, PolygonTriangulator.CreateTriangleCollector());
lines.Add("Monotones");
lines.AddRange(monotones.SubPolygonIds.Select(x => string.Join(" ", monotones.SubPolygonVertices(x))));
lines.Add("");
triangulator.BuildTriangles(collector);
}
catch (Exception ex)
{
this.vertexText.Text = ex.ToString();
}
var triangles = collector.Triangles;
lines.Add("Triangles");
for (int i = 0; i < triangles.Length; i += 3)
{
lines.Add($"{triangles[i + 0]} {triangles[i + 1]} {triangles[i + 2]} ");
}
this.vertexText.Text += string.Join(Environment.NewLine, lines);
this.polygonPanel.AutoScale();
}