That's educational. Thanks for running the numbers,
Roger. I've tried to make it a habit to keep the complexity of the code inside a sort code-block to a minimum for efficiency reasons. Your results seem conclusive for cases with
uc or
lc. I am sure that the Schwartzian method would win if the complexity inside the
sort function's code block got more intense.
Another factor that has some bearing on the comparative efficiency of the Schwartzian Transform versus a flat sort with additional complexity inside the sort code block is the issue of best case and worst case scenarios for the original unsorted list. In other words, a worst-case order of the original list may benefit more from the transform, while a best-case order for the original list may suffer from the transform.
The reason is that the two map's have a "fixed cost", whereas the code that appears within the code block of a sort function has a variable cost dependant on the original list's sort order.
The moral: If it really matters, benchmark it. ;)
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