from math import log, log10, log2, sin, cos, tan, e, pi, isnan, isinf, fabs, floor, ceil

def isclose(a, b):
    return abs(a-b) < 0.000001

assert isclose(e, 2.718281828459045)
assert isclose(pi, 3.141592653589793)
assert isclose(log(10), 2.302585092994046)
assert isclose(log10(10), 1.0)
assert isclose(log2(10), 3.321928094887362)
assert isclose(sin(0), 0.0)
assert isclose(cos(0), 1.0)
assert isclose(tan(0), 0.0)

a = -0.1
a = a**a
assert isnan(a)
assert not isinf(a)
assert isinf(float("inf"))

assert isclose(fabs(-1.2), 1.2)

assert floor(1.2) == 1
assert floor(-1.2) == -2
assert ceil(1.2) == 2
assert ceil(-1.2) == -1