feat: assemble complete EM trajectories
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using System;
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namespace MultiWheelC.TrajectoryPlanning.EMPlanner;
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internal sealed class LateralPathInterpolator
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{
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private const double BoundaryTolerance = 1e-10d;
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private readonly LateralPath path;
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public LateralPathInterpolator(LateralPath path)
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{
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if (path == null || !path.IsIndependentlyValidated || path.Points.Count < 2)
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throw new ArgumentException("Trajectory assembly requires an independently validated lateral path.", nameof(path));
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double previousPathS = double.NegativeInfinity;
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for (int index = 0; index < path.Points.Count; index++)
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{
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LateralPathPoint point = path.Points[index];
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if (point == null || point.PathS <= previousPathS)
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throw new ArgumentException("Lateral path points must have strictly increasing PathS.", nameof(path));
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previousPathS = point.PathS;
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}
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this.path = path;
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}
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public InterpolatedLateralPathPoint Interpolate(double pathS)
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{
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if (!IsFinite(pathS))
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throw new ArgumentOutOfRangeException(nameof(pathS));
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LateralPathPoint first = path.Points[0];
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LateralPathPoint last = path.Points[path.Points.Count - 1];
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if (pathS < first.PathS - BoundaryTolerance || pathS > last.PathS + BoundaryTolerance)
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throw new ArgumentOutOfRangeException(nameof(pathS));
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if (pathS <= first.PathS + BoundaryTolerance)
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return From(first);
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if (pathS >= last.PathS - BoundaryTolerance)
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return From(last);
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for (int index = 1; index < path.Points.Count; index++)
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{
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LateralPathPoint right = path.Points[index];
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if (pathS <= right.PathS)
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{
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LateralPathPoint left = path.Points[index - 1];
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double ratio = (pathS - left.PathS) / (right.PathS - left.PathS);
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return new InterpolatedLateralPathPoint(
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Linear(left.X, right.X, ratio),
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Linear(left.Y, right.Y, ratio),
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NormalizeYaw(left.VehicleYaw + ratio * NormalizeYaw(right.VehicleYaw - left.VehicleYaw)),
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Linear(left.VehicleCurvature, right.VehicleCurvature, ratio));
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}
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}
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throw new InvalidOperationException("A PathS value inside the lateral path was not bracketed.");
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}
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private static InterpolatedLateralPathPoint From(LateralPathPoint point)
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{
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return new InterpolatedLateralPathPoint(point.X, point.Y, NormalizeYaw(point.VehicleYaw), point.VehicleCurvature);
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}
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private static double Linear(double left, double right, double ratio)
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{
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return left + ratio * (right - left);
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}
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internal static double NormalizeYaw(double yaw)
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{
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double normalized = yaw % (2d * Math.PI);
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if (normalized >= Math.PI)
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normalized -= 2d * Math.PI;
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if (normalized < -Math.PI)
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normalized += 2d * Math.PI;
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return normalized;
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}
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private static bool IsFinite(double value)
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{
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return !double.IsNaN(value) && !double.IsInfinity(value);
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}
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}
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internal sealed class InterpolatedLateralPathPoint
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{
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public InterpolatedLateralPathPoint(double x, double y, double yaw, double vehicleCurvature)
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{
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X = x;
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Y = y;
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Yaw = yaw;
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VehicleCurvature = vehicleCurvature;
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}
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public double X { get; }
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public double Y { get; }
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public double Yaw { get; }
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public double VehicleCurvature { get; }
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}
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