def neighbor_equality(w1, w2):
    """
    Test if the neighbor sets are equal between two weights objects

    Parameters
    ----------

    w1 : W
        instance of spatial weights class W

    w2 : W
        instance of spatial weights class W

    Returns
    -------
    Boolean


    Notes
    -----
    Only set membership is evaluated, no check of the weight values is carried out.


    Examples
    --------
    >>> from libpysal.weights.util import neighbor_equality
    >>> from libpysal.weights import lat2W, W
    >>> w1 = lat2W(3,3)
    >>> w2 = lat2W(3,3)
    >>> neighbor_equality(w1, w2)
    True
    >>> w3 = lat2W(5,5)
    >>> neighbor_equality(w1, w3)
    False
    >>> n4 = w1.neighbors.copy()
    >>> n4[0] = [1]
    >>> n4[1] = [4, 2]
    >>> w4 = W(n4)
    >>> neighbor_equality(w1, w4)
    False
    >>> n5 = w1.neighbors.copy()
    >>> n5[0]
    [3, 1]
    >>> n5[0] = [1, 3]
    >>> w5 = W(n5)
    >>> neighbor_equality(w1, w5)
    True

    """
    n1 = w1.neighbors
    n2 = w2.neighbors
    ids_1 = set(n1.keys())
    ids_2 = set(n2.keys())
    if ids_1 != ids_2:
        return False
    for i in ids_1:
        if set(w1.neighbors[i]) != set(w2.neighbors[i]):
            return False
    return True