mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 05:21:09 +00:00
a2236cfb97
* Improved Formatting of basic_maths.py - Added docstrings. - Improved whitespace formatting. - Renamed functions to match snake_case. * Improved Formatting of factorial_python.py - Added docstrings. - Improved whitespace formatting. - Renamed constants to match UPPER_CASE. * Improved Formatting of factorial_recursive.py - Improved whitespace formatting to meet PyLint standards. * Improved Code to Conform to PyLint - Renamed `max` to `max_num` to avoid redefining built-in 'max' [pylint] - Removed unnecessary parens after 'while' keyword [pylint] * Improved Formatting of factorial_recursive.py - Added docstrings. - Improved whitespace formatting.
85 lines
1.6 KiB
Python
85 lines
1.6 KiB
Python
"""Implementation of Basic Math in Python."""
|
|
import math
|
|
|
|
|
|
def prime_factors(n):
|
|
"""Find Prime Factors."""
|
|
pf = []
|
|
while n % 2 == 0:
|
|
pf.append(2)
|
|
n = int(n / 2)
|
|
|
|
for i in range(3, int(math.sqrt(n)) + 1, 2):
|
|
while n % i == 0:
|
|
pf.append(i)
|
|
n = int(n / i)
|
|
|
|
if n > 2:
|
|
pf.append(n)
|
|
|
|
return pf
|
|
|
|
|
|
def number_of_divisors(n):
|
|
"""Calculate Number of Divisors of an Integer."""
|
|
div = 1
|
|
|
|
temp = 1
|
|
while n % 2 == 0:
|
|
temp += 1
|
|
n = int(n / 2)
|
|
div = div * (temp)
|
|
|
|
for i in range(3, int(math.sqrt(n)) + 1, 2):
|
|
temp = 1
|
|
while n % i == 0:
|
|
temp += 1
|
|
n = int(n / i)
|
|
div = div * (temp)
|
|
|
|
return div
|
|
|
|
|
|
def sum_of_divisors(n):
|
|
"""Calculate Sum of Divisors."""
|
|
s = 1
|
|
|
|
temp = 1
|
|
while n % 2 == 0:
|
|
temp += 1
|
|
n = int(n / 2)
|
|
if temp > 1:
|
|
s *= (2**temp - 1) / (2 - 1)
|
|
|
|
for i in range(3, int(math.sqrt(n)) + 1, 2):
|
|
temp = 1
|
|
while n % i == 0:
|
|
temp += 1
|
|
n = int(n / i)
|
|
if temp > 1:
|
|
s *= (i**temp - 1) / (i - 1)
|
|
|
|
return s
|
|
|
|
|
|
def euler_phi(n):
|
|
"""Calculte Euler's Phi Function."""
|
|
l = prime_factors(n)
|
|
l = set(l)
|
|
s = n
|
|
for x in l:
|
|
s *= (x - 1) / x
|
|
return s
|
|
|
|
|
|
def main():
|
|
"""Print the Results of Basic Math Operations."""
|
|
print(prime_factors(100))
|
|
print(number_of_divisors(100))
|
|
print(sum_of_divisors(100))
|
|
print(euler_phi(100))
|
|
|
|
|
|
if __name__ == '__main__':
|
|
main()
|