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Update bitonic_sort with type hints, doctest, snake_case names (TheAl…
…gorithms#4016) * Updated input * Fix pre-commit error * Add type hints, doctests, black, snake_case Co-authored-by: Dhruv Manilawala <[email protected]>
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# Python program for Bitonic Sort. Note that this program | ||
# works only when size of input is a power of 2. | ||
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# The parameter dir indicates the sorting direction, ASCENDING | ||
# or DESCENDING; if (a[i] > a[j]) agrees with the direction, | ||
# then a[i] and a[j] are interchanged. | ||
def compAndSwap(a, i, j, dire): | ||
if (dire == 1 and a[i] > a[j]) or (dire == 0 and a[i] < a[j]): | ||
a[i], a[j] = a[j], a[i] | ||
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# It recursively sorts a bitonic sequence in ascending order, | ||
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# if dir = 1, and in descending order otherwise (means dir=0). | ||
# The sequence to be sorted starts at index position low, | ||
# the parameter cnt is the number of elements to be sorted. | ||
def bitonic_merge(a, low, cnt, dire): | ||
if cnt > 1: | ||
k = int(cnt / 2) | ||
for i in range(low, low + k): | ||
compAndSwap(a, i, i + k, dire) | ||
bitonic_merge(a, low, k, dire) | ||
bitonic_merge(a, low + k, k, dire) | ||
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# This function first produces a bitonic sequence by recursively | ||
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# sorting its two halves in opposite sorting orders, and then | ||
# calls bitonic_merge to make them in the same order | ||
def bitonic_sort(a, low, cnt, dire): | ||
if cnt > 1: | ||
k = int(cnt / 2) | ||
bitonic_sort(a, low, k, 1) | ||
bitonic_sort(a, low + k, k, 0) | ||
bitonic_merge(a, low, cnt, dire) | ||
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# Caller of bitonic_sort for sorting the entire array of length N | ||
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# in ASCENDING order | ||
def sort(a, N, up): | ||
bitonic_sort(a, 0, N, up) | ||
""" | ||
Python program for Bitonic Sort. | ||
Note that this program works only when size of input is a power of 2. | ||
""" | ||
from typing import List | ||
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def comp_and_swap(array: List[int], index1: int, index2: int, direction: int) -> None: | ||
"""Compare the value at given index1 and index2 of the array and swap them as per | ||
the given direction. | ||
The parameter direction indicates the sorting direction, ASCENDING(1) or | ||
DESCENDING(0); if (a[i] > a[j]) agrees with the direction, then a[i] and a[j] are | ||
interchanged. | ||
>>> arr = [12, 42, -21, 1] | ||
>>> comp_and_swap(arr, 1, 2, 1) | ||
>>> print(arr) | ||
[12, -21, 42, 1] | ||
>>> comp_and_swap(arr, 1, 2, 0) | ||
>>> print(arr) | ||
[12, 42, -21, 1] | ||
>>> comp_and_swap(arr, 0, 3, 1) | ||
>>> print(arr) | ||
[1, 42, -21, 12] | ||
>>> comp_and_swap(arr, 0, 3, 0) | ||
>>> print(arr) | ||
[12, 42, -21, 1] | ||
""" | ||
if (direction == 1 and array[index1] > array[index2]) or ( | ||
direction == 0 and array[index1] < array[index2] | ||
): | ||
array[index1], array[index2] = array[index2], array[index1] | ||
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def bitonic_merge(array: List[int], low: int, length: int, direction: int) -> None: | ||
""" | ||
It recursively sorts a bitonic sequence in ascending order, if direction = 1, and in | ||
descending if direction = 0. | ||
The sequence to be sorted starts at index position low, the parameter length is the | ||
number of elements to be sorted. | ||
>>> arr = [12, 42, -21, 1] | ||
>>> bitonic_merge(arr, 0, 4, 1) | ||
>>> print(arr) | ||
[-21, 1, 12, 42] | ||
>>> bitonic_merge(arr, 0, 4, 0) | ||
>>> print(arr) | ||
[42, 12, 1, -21] | ||
""" | ||
if length > 1: | ||
middle = int(length / 2) | ||
for i in range(low, low + middle): | ||
comp_and_swap(array, i, i + middle, direction) | ||
bitonic_merge(array, low, middle, direction) | ||
bitonic_merge(array, low + middle, middle, direction) | ||
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def bitonic_sort(array: List[int], low: int, length: int, direction: int) -> None: | ||
""" | ||
This function first produces a bitonic sequence by recursively sorting its two | ||
halves in opposite sorting orders, and then calls bitonic_merge to make them in the | ||
same order. | ||
>>> arr = [12, 34, 92, -23, 0, -121, -167, 145] | ||
>>> bitonic_sort(arr, 0, 8, 1) | ||
>>> arr | ||
[-167, -121, -23, 0, 12, 34, 92, 145] | ||
>>> bitonic_sort(arr, 0, 8, 0) | ||
>>> arr | ||
[145, 92, 34, 12, 0, -23, -121, -167] | ||
""" | ||
if length > 1: | ||
middle = int(length / 2) | ||
bitonic_sort(array, low, middle, 1) | ||
bitonic_sort(array, low + middle, middle, 0) | ||
bitonic_merge(array, low, length, direction) | ||
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if __name__ == "__main__": | ||
user_input = input("Enter numbers separated by a comma:\n").strip() | ||
unsorted = [int(item.strip()) for item in user_input.split(",")] | ||
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a = [] | ||
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n = int(input().strip()) | ||
for i in range(n): | ||
a.append(int(input().strip())) | ||
up = 1 | ||
bitonic_sort(unsorted, 0, len(unsorted), 1) | ||
print("\nSorted array in ascending order is: ", end="") | ||
print(*unsorted, sep=", ") | ||
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sort(a, n, up) | ||
print("\n\nSorted array is") | ||
for i in range(n): | ||
print("%d" % a[i]) | ||
bitonic_merge(unsorted, 0, len(unsorted), 0) | ||
print("Sorted array in descending order is: ", end="") | ||
print(*unsorted, sep=", ") |