6140a06a0a
Every Unity.Mathematics using, alias and qualified name under Assets\Scripts and tools now names CultMath. The nine `using static ...noise;` lines are gone: snoise lives on CultMath's math. UnityExtensions loses float4.ToColor and Color.ToFloat4, which duplicate the bridge's ToColor and ToCultMath; the float3 colour pair stays because the bridge has none. Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
114 lines
2 KiB
C#
114 lines
2 KiB
C#
using System.Collections;
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using System.Linq;
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using MIConvexHull;
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using CultMath;
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using static CultMath.math;
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/// <summary>
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/// A vertex is a simple class that stores the postion of a point, node or vertex.
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/// </summary>
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public class Cell2<T> : TriangulationCell<Vertex2<T>, Cell2<T>>
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{
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float2? circumCenter, centroid;
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public float2 Circumcenter {
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get {
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circumCenter = circumCenter ?? GetCircumcenter();
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return circumCenter.Value;
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}
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}
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public float2 Centroid {
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get {
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centroid = centroid ?? GetCentroid();
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return centroid.Value;
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}
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}
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public Cell2 ()
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{
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}
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double LengthSquared (float[] v)
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{
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float norm = 0;
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for (int i = 0; i < v.Length; i++) {
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var t = v [i];
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norm += t * t;
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}
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return norm;
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}
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float Determinant(float[,] m)
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{
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float fCofactor00 = m[1,1] * m[2,2] - m[1,2] * m[2,1];
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float fCofactor10 = m[1,2] * m[2,0] - m[1,0] * m[2,2];
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float fCofactor20 = m[1,0] * m[2,1] - m[1,1] * m[2,0];
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float fDet = m[0,0] * fCofactor00 + m[0,1] * fCofactor10 + m[0,2] * fCofactor20;
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return fDet;
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}
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float2 GetCircumcenter ()
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{
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// From MathWorld: http://mathworld.wolfram.com/Circumcircle.html
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var points = Vertices;
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float[,] m = new float[3, 3];
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// x, y, 1
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for (int i = 0; i < 3; i++) {
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m[i, 0] = points[i].x;
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m[i, 1] = points[i].y;
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m[i, 2] = 1;
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}
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var a = Determinant(m);
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// size, y, 1
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for (int i = 0; i < 3; i++) {
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m[i, 0] = lengthsq(points[i].StoredPosition);
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}
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var dx = -Determinant(m);
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// size, x, 1
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for (int i = 0; i < 3; i++) {
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m[i, 1] = points[i].x;
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}
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var dy = Determinant(m);
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// size, x, y
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//for (int i = 0; i < 3; i++) {
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// m[i, 2] = points[i].y;
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//}
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//var c = -Det(m);
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var s = -1.0f / (2.0f * a);
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//var r = System.Math.Abs(s) * System.Math.Sqrt(dx * dx + dy * dy - 4 * a * c);
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return new float2(s * dx, s * dy);
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}
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float2 GetCentroid ()
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{
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return new float2(Vertices.Select(v => v.Position[0]).Average(), Vertices.Select(v => v.Position[1]).Average());
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}
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}
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