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Update bitonic_sort with type hints, doctest, snake_case names #4016

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144 changes: 91 additions & 53 deletions sorts/bitonic_sort.py
Original file line number Diff line number Diff line change
@@ -1,58 +1,96 @@
# Python program for Bitonic Sort. Note that this program
# works only when size of input is a power of 2.


# 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]

# It recursively sorts a bitonic sequence in ascending order,


# 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)

# 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
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)

# Caller of bitonic_sort for sorting the entire array of length N


# 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


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]


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)


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)


if __name__ == "__main__":
user_input = input("Enter numbers separated by a comma:\n").strip()
unsorted = [int(item.strip()) for item in user_input.split(",")]

a = []

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=", ")

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=", ")