Password strength

key_space.py

#python
from math import log

fact = lambda n: n*fact(n-1) if n > 1 else 1

print("MEDIUM: length == 8 && sawUpper && sawLower && sawDigit")
length = 8
symbols = 26 + 26 + 10
key_space = fact(symbols)/fact(symbols - length)
print(f"\tkeyspace exponent: {log(key_space, 2)}")

print("GOOD: length > 8 && sawUpper && sawLower && sawDigit")
length = 9
symbols = 26 + 26 + 10
key_space = fact(symbols)/fact(symbols - length)
print(f"\tkeyspace exponent(length == {length}): {log(key_space, 2)}")

print("MEDIUM: length == 10 && sawUpper && sawLower")
length = 10
symbols = 26 + 26
key_space = fact(symbols)/fact(symbols - length)
print(f"\tkeyspace exponent: {log(key_space, 2)}")

print("GOOD: length > 10 && sawUpper && sawLower")
length = 11
symbols = 26 + 26
key_space = fact(symbols)/fact(symbols - length)
print(f"\tkeyspace exponent(length == {length}): {log(key_space, 2)}")

print("MEDIUM: length == 12 && sawUpper || sawLower")
length = 12
symbols = 26
key_space = fact(symbols)/fact(symbols - length)
print(f"\tkeyspace exponent: {log(key_space, 2)}")

print("GOOD: length > 12 && sawUpper || sawLower")
length = 13
symbols = 26
key_space = fact(symbols)/fact(symbols - length)
print(f"\tkeyspace exponent(lower bound): {log(key_space, 2)}")