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23 changes: 19 additions & 4 deletions sorts/shell_sort.py
Original file line number Diff line number Diff line change
Expand Up @@ -2,28 +2,43 @@
https://en.wikipedia.org/wiki/Shellsort#Pseudocode
"""

from typing import Any, Protocol


class Comparable(Protocol):
def __lt__(self, other: Any, /) -> bool: ...


def shell_sort[T: Comparable](collection: list[T]) -> list[T]:
"""Pure implementation of shell sort algorithm in Python.

def shell_sort(collection: list[int]) -> list[int]:
"""Pure implementation of shell sort algorithm in Python
:param collection: Some mutable ordered collection with heterogeneous
comparable items inside
:return: the same collection ordered by ascending

Examples:
>>> shell_sort([0, 5, 3, 2, 2])
[0, 2, 2, 3, 5]
>>> shell_sort([])
[]
>>> shell_sort([-2, -5, -45])
[-45, -5, -2]
>>> shell_sort(["c", "a", "b"])
['a', 'b', 'c']
>>> shell_sort([2.5, -1.0, 0.0])
[-1.0, 0.0, 2.5]
>>> shell_sort([0, 5, 3, 2, 2]) == sorted([0, 5, 3, 2, 2])
True
>>> shell_sort(["c", "a", "b"]) == sorted(["c", "a", "b"])
True
"""
# Marcin Ciura's gap sequence

gaps = [701, 301, 132, 57, 23, 10, 4, 1]
for gap in gaps:
for i in range(gap, len(collection)):
insert_value = collection[i]
j = i
while j >= gap and collection[j - gap] > insert_value:
while j >= gap and insert_value < collection[j - gap]:
collection[j] = collection[j - gap]
j -= gap
if j != i:
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