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def floor(x) -> int:
"""
Return the floor of x as an Integral.
:param x: the number
:return: the largest integer <= x.
>>> import math
>>> all(floor(n) == math.floor(n) for n in (1, -1, 0, -0, 1.1, -1.1, 1.0, -1.0, 1_000_000_000))
True
"""
return (
x if isinstance(x, int) or x - int(x) == 0 else int(x) if x > 0 else int(x - 1)
)
if __name__ == "__main__":
import doctest
doctest.testmod()