Transpose of an nxm matrix using SML and Pattern Matching

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Public Domain

This code takes an input matrix as a list of lists, and outputs the transpose of the matrix as a list of lists

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Math SML Transpose 
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fun getHeads [[],[],[]] = []
| getHeads [] = []
| getHeads alist = [hd (hd alist)] @ getHeads (tl alist);

fun removeHeads [[],[],[]] = []
| removeHeads [] = []
| removeHeads blist = [tl (hd blist)] @ removeHeads (tl blist);

fun transp [[],[],[]] = []
| transp [] = []
| transp clist = [getHeads clist] @ transp (removeHeads clist);