# ENCM 335 Fall 2019 Lab 8 Exercise C Part 1

# The geometric mean of a sequence of N numbers is defined to
# be the Nth root of the product of all of the numbers in the
# sequence.  For example, the geometric mean of the sequence
# [10, 8, 13] is the cube root of 10 * 8 * 13, which is about 10.13.


def geometric_mean(x):

    """Return the geometric mean of  the numbers in sequence x.

    It's assumed that len(x) >= 1 and all items in x are ints or floats."""

    product = 0;
    count = 0;

    for number in x:
        product *= number
        count += 1
    result = product**(1/count)

    return result


def do_a_test(a):
    print('list:', a)
    print('geometric mean:', geometric_mean(a))
    print()


do_a_test([4, 25])
do_a_test([0.2, 2.0, 21.0])
do_a_test([0.5])
do_a_test([1.0, 2.0, 3.0, 4.0, 5.0])