Complexity
The inner loop checks every point in the set S, and the outer loop repeats for each point on the hull. Hence the total run time is . The run time depends on the size of the output, so Jarvis's march is an output-sensitive algorithm.
However, because the running time depends linearly on the number of hull vertices, it is only faster than algorithms such as Graham scan when the number h of hull vertices is smaller than log n. Chan's algorithm, another convex hull algorithm, combines the logarithmic dependence of Graham scan with the output sensitivity of the gift wrapping algorithm, achieving an asymptotic running time that improves on both Graham scan and gift wrapping.
Read more about this topic: Gift Wrapping Algorithm
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