more-math3 1.0

A Python library for more math functions.

More Math Python Library

An Introduction

Welcome to the More Math Python library!

In this library, you will have many functions that are not in the built-in "math" module.

A Brief Summary of this Module

Basic Functions

Here are some basic functions:

is_prime(number: int) -> bool and is_composite(number: int) -> bool check the primality of a number.

is_square(number: int) -> bool checks whether a number is a square or not.

is_cube(number: int) -> bool checks whether a number is a cube or not.

All numbers in these functions must be greater than 2.

HCF and LCM

hcf(*numbers: int) -> int returns the highest common factor of the numbers.

lcm(*numbers: int) -> int returns the lowest common multiple of the numbers.

Exponents and Roots

is_power_of(number: int, x: int) -> bool: which checks whether number is a power of x.

nth_power_of(number: int, x: int) -> int: which checks which power of x is number.

nth_root_of(number: int, x: int) -> int: which checks which root of x is number.

Combinations

combinations(number: int, *, keep_length: bool = True, repeat: bool = False) -> list[int] generates a list of all possible combinations with a set of numbers. keep_length and repeat are optional, but they are keyword-only arguments. keep_length allows you to keep the length of the specified number, and is by default set to True. repeat allows repeating digits, and is by default set to False.

nth_combination(number: int, index: int, *, keep_length: bool = True, repeat: bool = False) -> int returns the nth combination generated with a set of numbers. index is n here.

min_and_max_combination(number: int, *, keep_length: bool = True, repeat: bool = False) -> tuple[int] returns the lowest and highest number generated with a set of digits.

Encoding and Decoding

encode_number(number: int, base: int) -> int encodes the number into an alphanumeric number of a specific base.

decode_number(number: str, base: int) -> int decodes the number from an alphanumeric number of a specific base to an integer.

Other Properties of Numbers (returns bool)

is_triangular(number: int) -> bool returns whether a number is triangular (=that is a sum of digits from 1 to a number) or not.

is_pentagonal(number: int) -> bool returns whether a number is pentagonal (=that is n(3n+1) / 2) or not.

is_hexagonal(number: int) -> bool returns whether a number is hexagonal (=that is n(2n+1)) or not.

is_strong(number: int) -> bool returns whether the sum of factorials of the digits of a number add up to the number.

is_armstrong(number: int) -> bool returns whether the sum of cubes of the digits of the number add up to the number.

is_mersenne_prime(number: int) -> bool returns whether a number is a Mersenne prime or not. A Mersenne prime is a prime number which is 1 plus a power of 2.

Exceptions

Exceptions are raised in many of the functions when you enter a number that is less than 1. They are also raised in nth_power_of(number: int, x: int) -> bool when you enter number when it is not a power of x.

How to Install the Module

1. Open your terminal or command line
2. Run pip install more_math_3.
3. Add it to your PATH.

Thank you! I hope you like my module. Reach out to me here: [e-mail] Enjoy using the module!