Add Manhattan distance methods and `CoordinateNd` class for n-dimensionality support
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@ -2,6 +2,12 @@
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public record Coordinate(long X, long Y)
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{
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public long GetManhattanDistance(Coordinate other) =>
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GetManhattanDistance(this, other);
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public static long GetManhattanDistance(Coordinate a, Coordinate b) =>
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Math.Abs(a.X - b.X) + Math.Abs(a.Y - b.Y);
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public double GetEuclidianDistance(Coordinate other) =>
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GetEuclidianDistance(this, other);
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@ -20,6 +26,12 @@ public record Coordinate(long X, long Y)
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public record Coordinate3d(long X, long Y, long Z)
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{
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public long GetManhattanDistance(Coordinate3d other) =>
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GetManhattanDistance(this, other);
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public static long GetManhattanDistance(Coordinate3d a, Coordinate3d b) =>
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Math.Abs(a.X - b.X) + Math.Abs(a.Y - b.Y) + Math.Abs(a.Z - b.Z);
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public double GetEuclidianDistance(Coordinate3d other) =>
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GetEuclidianDistance(this, other);
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@ -34,4 +46,38 @@ public record Coordinate3d(long X, long Y, long Z)
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public static Coordinate3d operator *(Coordinate3d coord, int amount) =>
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new(coord.X * amount, coord.Y * amount, coord.Z * amount);
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}
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}
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public record CoordinateNd(long[] Axes)
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{
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public long GetManhattanDistance(CoordinateNd other) =>
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GetManhattanDistance(this, other);
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public static long GetManhattanDistance(CoordinateNd a, CoordinateNd b) =>
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a.Axes.Length == b.Axes.Length
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? a.Axes.Zip(b.Axes, (ax, bx) => Math.Abs(ax - bx)).Sum()
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: throw new DimensionMismatchException();
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public double GetEuclidianDistance(CoordinateNd other) =>
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GetEuclidianDistance(this, other);
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public static double GetEuclidianDistance(CoordinateNd a, CoordinateNd b) =>
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a.Axes.Length == b.Axes.Length
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? Math.Sqrt(a.Axes.Zip(b.Axes, (ax, bx) => (ax - bx) * (ax - bx)).Sum())
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: throw new DimensionMismatchException();
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public static CoordinateNd operator +(CoordinateNd left, CoordinateNd right) =>
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left.Axes.Length == right.Axes.Length
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? new CoordinateNd([..left.Axes.Zip(right.Axes, (l, r) => l + r)])
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: throw new DimensionMismatchException();
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public static CoordinateNd operator -(CoordinateNd left, CoordinateNd right) =>
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left.Axes.Length == right.Axes.Length
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? new CoordinateNd([..left.Axes.Zip(right.Axes, (l, r) => l - r)])
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: throw new DimensionMismatchException();
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public static CoordinateNd operator *(CoordinateNd coord, int amount) =>
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new CoordinateNd([..coord.Axes.Select(a => a * amount)]);
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}
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public class DimensionMismatchException : Exception {}
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