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re-implement ConvexHull 100% original
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@ -154,33 +154,38 @@ namespace osu.Game.Utils
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{
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{
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List<Vector2> p = points.ToList();
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List<Vector2> p = points.ToList();
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if (p.Count <= 1)
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if (p.Count < 3)
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return p;
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return p;
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int n = p.Count, k = 0;
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List<Vector2> hull = new List<Vector2>(new Vector2[2 * n]);
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p.Sort((a, b) => a.X == b.X ? a.Y.CompareTo(b.Y) : a.X.CompareTo(b.X));
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p.Sort((a, b) => a.X == b.X ? a.Y.CompareTo(b.Y) : a.X.CompareTo(b.X));
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// Build lower hull
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List<Vector2> upper = new List<Vector2>();
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for (int i = 0; i < n; ++i)
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List<Vector2> lower = new List<Vector2>();
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// Build the lower hull
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for (int i = 0; i < p.Count; i++)
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{
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{
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while (k >= 2 && cross(hull[k - 2], hull[k - 1], p[i]) <= 0)
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while (lower.Count >= 2 && cross(lower[^2], lower[^1], p[i]) <= 0)
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k--;
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lower.RemoveAt(lower.Count - 1);
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hull[k] = p[i];
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k++;
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lower.Add(p[i]);
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}
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}
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// Build upper hull
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// Build the upper hull
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for (int i = n - 2, t = k + 1; i >= 0; i--)
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for (int i = p.Count - 1; i >= 0; i--)
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{
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{
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while (k >= t && cross(hull[k - 2], hull[k - 1], p[i]) <= 0)
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while (upper.Count >= 2 && cross(upper[^2], upper[^1], p[i]) <= 0)
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k--;
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upper.RemoveAt(upper.Count - 1);
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hull[k] = p[i];
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k++;
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upper.Add(p[i]);
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}
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}
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return hull.Take(k - 1).ToList();
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// Remove the last point of each half because it's a duplicate of the first point of the other half
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lower.RemoveAt(lower.Count - 1);
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upper.RemoveAt(upper.Count - 1);
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lower.AddRange(upper);
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return lower;
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float cross(Vector2 o, Vector2 a, Vector2 b) => (a.X - o.X) * (b.Y - o.Y) - (a.Y - o.Y) * (b.X - o.X);
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float cross(Vector2 o, Vector2 a, Vector2 b) => (a.X - o.X) * (b.Y - o.Y) - (a.Y - o.Y) * (b.X - o.X);
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}
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}
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