refactor: extract shared ArcFit utilities from SplineConverter and GeometrySimplifier
Move identical FitWithStartTangent and MaxRadialDeviation methods to a shared ArcFit class, eliminating 40-line duplicate. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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@@ -437,47 +437,8 @@ public class GeometrySimplifier
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/// the arc passes through both endpoints and departs P1 in the given direction.
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/// </summary>
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private static (Vector center, double radius, double deviation) FitWithStartTangent(
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List<Vector> points, Vector tangent)
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{
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if (points.Count < 3)
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return (Vector.Invalid, 0, double.MaxValue);
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var p1 = points[0];
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var pn = points[^1];
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var mx = (p1.X + pn.X) / 2;
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var my = (p1.Y + pn.Y) / 2;
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var dx = pn.X - p1.X;
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var dy = pn.Y - p1.Y;
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var chordLen = System.Math.Sqrt(dx * dx + dy * dy);
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if (chordLen < 1e-10)
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return (Vector.Invalid, 0, double.MaxValue);
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var bx = -dy / chordLen;
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var by = dx / chordLen;
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var tLen = System.Math.Sqrt(tangent.X * tangent.X + tangent.Y * tangent.Y);
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if (tLen < 1e-10)
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return (Vector.Invalid, 0, double.MaxValue);
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var nx = -tangent.Y / tLen;
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var ny = tangent.X / tLen;
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var det = nx * by - ny * bx;
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if (System.Math.Abs(det) < 1e-10)
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return (Vector.Invalid, 0, double.MaxValue);
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var t = ((mx - p1.X) * by - (my - p1.Y) * bx) / det;
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var cx = p1.X + t * nx;
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var cy = p1.Y + t * ny;
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var radius = System.Math.Sqrt((cx - p1.X) * (cx - p1.X) + (cy - p1.Y) * (cy - p1.Y));
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if (radius < 1e-10)
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return (Vector.Invalid, 0, double.MaxValue);
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return (new Vector(cx, cy), radius, MaxRadialDeviation(points, cx, cy, radius));
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}
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List<Vector> points, Vector tangent) =>
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ArcFit.FitWithStartTangent(points, tangent);
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/// <summary>
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/// Computes the tangent direction at the last point of a fitted arc,
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@@ -629,19 +590,8 @@ public class GeometrySimplifier
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/// <summary>
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/// Max deviation of intermediate points (excluding endpoints) from a circle.
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/// </summary>
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private static double MaxRadialDeviation(List<Vector> points, double cx, double cy, double radius)
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{
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var maxDev = 0.0;
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for (var i = 1; i < points.Count - 1; i++)
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{
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var px = points[i].X - cx;
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var py = points[i].Y - cy;
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var dist = System.Math.Sqrt(px * px + py * py);
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var dev = System.Math.Abs(dist - radius);
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if (dev > maxDev) maxDev = dev;
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}
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return maxDev;
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}
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private static double MaxRadialDeviation(List<Vector> points, double cx, double cy, double radius) =>
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ArcFit.MaxRadialDeviation(points, cx, cy, radius);
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/// <summary>
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/// Measures the maximum distance from sampled points along the fitted arc
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