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authorJulian Taylor <jtaylor.debian@googlemail.com>2013-05-18 07:45:04 +0200
committerJulian Taylor <jtaylor.debian@googlemail.com>2013-08-12 14:25:52 +0200
commit9c4c1c432b27f67eee2ad22ff5f2f9833bd1516d (patch)
tree7d4e3d23d294aaab7a2979548c4b45ded58ae030 /numpy/oldnumeric/functions.py
parent0a16937e15af31ac33d76c60d72cdb9c68d7f2f1 (diff)
downloadnumpy-9c4c1c432b27f67eee2ad22ff5f2f9833bd1516d.tar.gz
ENH: add quickselect algorithm and expose it via partition
A partition sorts the kth element into its sorted order and moves all smaller elements before the kth element and all equal or greater elements behind it. The ordering of all elements in the partitions is undefined. It is implemented via the introselection algorithm which has worst case linear complexity compared to a full sort that has linearithmic complexity. The introselect algorithm uses a quickselect with median of three pivot and falls back to a quickselect with median of median of five pivot if no sufficient progress is made. The pivots used during the search for the wanted kth element can optionally be stored and reused for further partitionings of the array. This is used by the python interface if an array of kth is provided to the partitions function. This improves the performance of median and which need to select two elements if the size of the array is even. A percentile function interpolating between values also profits from this. String selection is implemented in terms of quicksort which has the same properties as a selection for now.
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