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Diffstat (limited to 'algorithms/impl/heapsort.py')
-rw-r--r-- | algorithms/impl/heapsort.py | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/algorithms/impl/heapsort.py b/algorithms/impl/heapsort.py new file mode 100644 index 0000000..81bea20 --- /dev/null +++ b/algorithms/impl/heapsort.py @@ -0,0 +1,82 @@ +# Copyright (c) 2015 Egor Tensin <Egor.Tensin@gmail.com> +# This file is part of the "Sorting algorithms" project. +# For details, see https://github.com/egor-tensin/sorting-algorithms. +# Distributed under the MIT License. + +import sys + +from ..algorithm import SortingAlgorithm + +# Disclaimer: implemented in the most literate way. + + +def heapsort(xs): + _heapify(xs) + first, last = 0, len(xs) - 1 + for end in range(last, first, -1): + xs[end], xs[first] = xs[first], xs[end] + _siftdown(xs, first, end - 1) + return xs + + +# In a heap stored in a zero-based array, +# left_child = node * 2 + 1 +# right_child = node * 2 + 2 +# parent = (node - 1) // 2 + + +def _get_parent(node): + return (node - 1) // 2 + + +def _get_left_child(node): + return node * 2 + 1 + + +def _get_right_child(node): + return node * 2 + 2 + + +def _heapify(xs): + last = len(xs) - 1 + first_parent, last_parent = 0, _get_parent(last) + for parent in range(last_parent, first_parent - 1, -1): + _siftdown(xs, parent, last) + + +def _siftdown(xs, start, end): + root = start + while True: + # We swap if there is at least one child + child = _get_left_child(root) + if child > end: + break + # If there are two children, select the minimum + right_child = _get_right_child(root) + if right_child <= end and xs[child] < xs[right_child]: + child = right_child + if xs[root] < xs[child]: + xs[root], xs[child] = xs[child], xs[root] + root = child + else: + break + + +_ALGORITHMS = [ + SortingAlgorithm('heapsort', 'Heapsort', heapsort), +] + + +def _parse_args(args=None): + if args is None: + args = sys.argv[1:] + return list(map(int, args)) + + +def main(args=None): + xs = _parse_args(args) + print(heapsort(list(xs))) + + +if __name__ == '__main__': + main() |