maths.basic_maths
=================

.. py:module:: maths.basic_maths

.. autoapi-nested-parse::

   Implementation of Basic Math in Python.



Functions
---------

.. autoapisummary::

   maths.basic_maths.euler_phi
   maths.basic_maths.number_of_divisors
   maths.basic_maths.prime_factors
   maths.basic_maths.sum_of_divisors


Module Contents
---------------

.. py:function:: euler_phi(n: int) -> int

   Calculate Euler's Phi Function.
   >>> euler_phi(100)
   40
   >>> euler_phi(0)
   Traceback (most recent call last):
       ...
   ValueError: Only positive numbers are accepted
   >>> euler_phi(-10)
   Traceback (most recent call last):
       ...
   ValueError: Only positive numbers are accepted


.. py:function:: number_of_divisors(n: int) -> int

   Calculate Number of Divisors of an Integer.
   >>> number_of_divisors(100)
   9
   >>> number_of_divisors(0)
   Traceback (most recent call last):
       ...
   ValueError: Only positive numbers are accepted
   >>> number_of_divisors(-10)
   Traceback (most recent call last):
       ...
   ValueError: Only positive numbers are accepted


.. py:function:: prime_factors(n: int) -> list

   Find Prime Factors.
   >>> prime_factors(100)
   [2, 2, 5, 5]
   >>> prime_factors(0)
   Traceback (most recent call last):
       ...
   ValueError: Only positive integers have prime factors
   >>> prime_factors(-10)
   Traceback (most recent call last):
       ...
   ValueError: Only positive integers have prime factors


.. py:function:: sum_of_divisors(n: int) -> int

   Calculate Sum of Divisors.
   >>> sum_of_divisors(100)
   217
   >>> sum_of_divisors(0)
   Traceback (most recent call last):
       ...
   ValueError: Only positive numbers are accepted
   >>> sum_of_divisors(-10)
   Traceback (most recent call last):
       ...
   ValueError: Only positive numbers are accepted