human
I wrote the below code

    from collections import deque
    from math import hypot, sqrt as _sqrt
    from sympy.functions.elementary.miscellaneous import sqrt
    p = [Point2D(i) for i in set(args)]
    if (len(p) < 2):
        raise ValueError('At    least    2    distinct    points    must    be    given.')
    try:
        p.sort(key=(lambda x: x.args))
    except TypeError:
        raise ValueError('The    points    could    not    be    sorted.')
    if any(((not i.is_Rational) for j in p for i in j.args)):
        def hypot(x, y):
            arg = ((x * x) + (y * y))
            if arg.is_Rational:
                return _sqrt(arg)
            return sqrt(arg)
    rv = [(0, 1)]
    best_dist = hypot((p[1].x - p[0].x), (p[1].y - p[0].y))
    i = 2
    left = 0
    box = deque([0, 1])
    while (i < len(p)):
        while ((left < i) and ((p[i][0] - p[left][0]) > best_dist)):
            box.popleft()
            left += 1
        for j in box:
            d = hypot((p[i].x - p[j].x), (p[i].y - p[j].y))
            if (d < best_dist):
                rv = [(j, i)]
            elif (d == best_dist):
                rv.append((j, i))
            else:
                continue
            best_dist = d
        box.append(i)
        i += 1
    return {tuple([p[i] for i in pair]) for pair in rv}

What's a good function header?
assistant
#Here's a good function header.

def closest_points(*args):