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yoniLavi/hypeoperations.py

Created January 28, 2019 21:00
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hypeoperations.py
"""Hyperoperations implementation (https://en.wikipedia.org/wiki/Hyperoperation)"""
from functools import reduce
zeration = lambda a, b: b+1
addition = lambda a, b: reduce(lambda x, _: zeration(0, x), [None]*b, a)
multiplication = lambda a, b: reduce(lambda x, _: addition(a, x), [None]*b, 0)
exponentiation = lambda a, b: reduce(lambda x, _: multiplication(a, x), [None]*b, 1)
tetration = lambda a, b: reduce(lambda x, _: exponentiation(a, x), [None]*b, 1)
pentation = lambda a, b: reduce(lambda x, _: tetration(a, x), [None]*b, 1)
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