mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 09:10:16 +00:00
4b79d771cd
* Add more ruff rules * Add more ruff rules * pre-commit: Update ruff v0.0.269 -> v0.0.270 * Apply suggestions from code review * Fix doctest * Fix doctest (ignore whitespace) * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --------- Co-authored-by: Dhruv Manilawala <dhruvmanila@gmail.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
47 lines
1.3 KiB
Python
47 lines
1.3 KiB
Python
"""
|
|
== Liouville Lambda Function ==
|
|
The Liouville Lambda function, denoted by λ(n)
|
|
and λ(n) is 1 if n is the product of an even number of prime numbers,
|
|
and -1 if it is the product of an odd number of primes.
|
|
|
|
https://en.wikipedia.org/wiki/Liouville_function
|
|
"""
|
|
|
|
# Author : Akshay Dubey (https://github.com/itsAkshayDubey)
|
|
from maths.prime_factors import prime_factors
|
|
|
|
|
|
def liouville_lambda(number: int) -> int:
|
|
"""
|
|
This functions takes an integer number as input.
|
|
returns 1 if n has even number of prime factors and -1 otherwise.
|
|
>>> liouville_lambda(10)
|
|
1
|
|
>>> liouville_lambda(11)
|
|
-1
|
|
>>> liouville_lambda(0)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input must be a positive integer
|
|
>>> liouville_lambda(-1)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input must be a positive integer
|
|
>>> liouville_lambda(11.0)
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Input value of [number=11.0] must be an integer
|
|
"""
|
|
if not isinstance(number, int):
|
|
msg = f"Input value of [number={number}] must be an integer"
|
|
raise TypeError(msg)
|
|
if number < 1:
|
|
raise ValueError("Input must be a positive integer")
|
|
return -1 if len(prime_factors(number)) % 2 else 1
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|