Here's your second implementation cleaned up a little:
(defn perimeter [& pn]
(apply +
(map euclidean-distance pn (rest pn))))
My own personal opinion is:
The second approach is
(1) faster to write
(2) easier to understand
(3) less error-prone
So that's the one that I prefer.
IF the first form turns out to perform much better (and I'm not clear
as to why this is happening) and the performance is necessary. THEN I
would re-write the function using loop-recur. Or better yet, write a
macro that preserves the elegance of the second form, but expands into
a specialized loop-recur.
Hope this helps
-Patrick
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