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[pre-commit.ci] auto fixes from pre-commit.com hooks

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pre-commit-ci[bot] 2023-08-03 14:31:11 +00:00
parent 8bd2067393
commit bb34d5d215
1 changed files with 18 additions and 17 deletions
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35
maths/prime_factorization_fast.py
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@ -1,58 +1,59 @@
from math import ceil , sqrt
from math import ceil, sqrt
from __future__ import annotations
def primeproduct(n : int, x : list = []):
'''
def primeproduct(n: int, x: list = []):
"""
>>> primeproduct(868)
[2, 2, 7, 31]
>>> primeproduct(9039423423423743)
[2, 2, 7, 31, 719, 12572216166097]
>>> primeproduct(0.02)
[]
'''
"""
if n < 1:
return []
if n > 1:
if len(x)>=1 and x[-1] % n == 0: # check in already factorised
if len(x) >= 1 and x[-1] % n == 0: # check in already factorised
x.append(x[-1])
n = n // x[-1]
else:
sq = ceil(sqrt(n))
flag = 0
if x != []:
for i in range(x[-1] , sq+1, 2):
for i in range(x[-1], sq + 1, 2):
if n % i == 0:
n = n // i
x.append(i)
flag = 1
break
else:
# Handle factor 2 separately
while n % 2 ==0: # only 2 is even prime
while n % 2 == 0: # only 2 is even prime
n = n // 2
x.append(2)
# Start loop from 3 and increment by 2
for i in range(3 , sq+1, 2): # skip even numbers
for i in range(3, sq + 1, 2): # skip even numbers
if n % i == 0:
n = n // i
x.append(i)
flag = 1
break
if not flag:
x.append(n)
n = 1
return primeproduct(n,x)
return primeproduct(n, x)
return x
# faster than https://github.com/sourabhkv/Python/blob/master/maths/prime_factors.py approx 2x
if __name__ == "__main__":
import doctest