Directionality of Hausdorff distance

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For geospatial polygons, the Hausdorff distance between X and Y will be different if the polygons have different number of vertices. The definition of Hausdorff distance in this context is the maximum distance between closest vertex pairs.

Is it possible to obtain directed Hausdorff distance? The following statements always returns the same value.

print("Hausdorff haversine test: {0}".format( hausdorff_distance(X, Y, distance="haversine") ))
print("Hausdorff haversine test: {0}".format( hausdorff_distance(Y, X, distance="haversine") ))