diff --git a/maths/ceil.py b/maths/ceil.py new file mode 100644 index 000000000000..3e46f1474dcf --- /dev/null +++ b/maths/ceil.py @@ -0,0 +1,18 @@ +def ceil(x) -> int: + """ + Return the ceiling of x as an Integral. + + :param x: the number + :return: the smallest integer >= x. + + >>> import math + >>> all(ceil(n) == math.ceil(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 + 1) if x > 0 else int(x) + + +if __name__ == '__main__': + import doctest + + doctest.testmod() diff --git a/maths/floor.py b/maths/floor.py new file mode 100644 index 000000000000..a9b680b37b97 --- /dev/null +++ b/maths/floor.py @@ -0,0 +1,18 @@ +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()