This is an automatically generated file.

Part 1

Part 2

def extreme_z_to_q():
    """Test A and 1/A to powers reaching 1/C and C.

    A is 2 or 10. C is 1/B**k, tiny but well away from underflow.
    C is an integer power of 1/A, so try the four possibilities of
    A and 1/A producing C and 1/C.
    Basic 5460-5490
    """

    global pow_err_cnt  # var used by power tests
    print("Testing powers z^q at four nearly extreme values.")
    pow_err_cnt = 0  # this test resets the global value to 0 without restore.

Part 3

    q = floor(ONE_HALF - log(C) / log(A))  # C is a power of B and thus A
    for z in [A, ONE_OVER_A]:
        x = ONE_OVER_C
        test_power_result(x, z, q)
        q = -q
        x = C
        test_power_result(x, z, q)
    print_if_err_cnt_positive()
    if pow_err_cnt == 0:
        print(" ... no discrepancies found.")
    return

Part 4