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56 changes: 56 additions & 0 deletions maths/allocation_number.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,56 @@
from typing import List


def allocation_num(number_of_bytes: int, partitions: int) -> List[str]:
"""
Divide a number of bytes into x partitions.

In a multi-threaded download, this algorithm could be used to provide
each worker thread with a block of non-overlapping bytes to download.
For example:
for i in allocation_list:
requests.get(url,headers={'Range':f'bytes={i}'})

parameter
------------
: param number_of_bytes
: param partitions

return
------------
: return: list of bytes to be assigned to each worker thread

Examples:
------------
>>> allocation_num(16647, 4)
['0-4161', '4162-8322', '8323-12483', '12484-16647']
>>> allocation_num(888, 888)
Traceback (most recent call last):
...
ValueError: partitions can not >= number_of_bytes!
>>> allocation_num(888, 999)
Traceback (most recent call last):
...
ValueError: partitions can not >= number_of_bytes!
>>> allocation_num(888, -4)
Traceback (most recent call last):
...
ValueError: partitions must be a positive number!
"""
if partitions <= 0:
raise ValueError('partitions must be a positive number!')
if partitions >= number_of_bytes:
raise ValueError('partitions can not >= number_of_bytes!')
bytes_per_partition = number_of_bytes // partitions
allocation_list = [f'0-{bytes_per_partition}']
for i in range(1, partitions - 1):
length = f'{bytes_per_partition * i + 1}-{bytes_per_partition * (i + 1)}'
allocation_list.append(length)
allocation_list.append(f'{(bytes_per_partition * (partitions - 1)) + 1}-'
f'{number_of_bytes}')
return allocation_list


if __name__ == '__main__':
import doctest
doctest.testmod()