human
Here's a good function header given the following:
I wrote the below code

    (f, g) = (Poly(f, x), Poly(g, x))
    t = (t or Dummy('t'))
    (a, b) = (g, (f - (g.diff() * Poly(t, x))))
    (res, R) = resultant(a, b, includePRS=True)
    res = Poly(res, t, composite=False)
    assert res, ("BUG:    resultant(%s,    %s)    can't    be    zero" % (a, b))
    (R_map, H) = ({}, [])
    for r in R:
        R_map[r.degree()] = r
    def _include_sign(c, sqf):
        if ((c < 0) == True):
            (h, k) = sqf[0]
            sqf[0] = ((h * c), k)
    (C, res_sqf) = res.sqf_list()
    _include_sign(C, res_sqf)
    for (q, i) in res_sqf:
        (_, q) = q.primitive()
        if (g.degree() == i):
            H.append((g, q))
        else:
            h = R_map[i]
            h_lc = Poly(h.LC(), t, field=True)
            (c, h_lc_sqf) = h_lc.sqf_list(all=True)
            _include_sign(c, h_lc_sqf)
            for (a, j) in h_lc_sqf:
                h = h.quo(Poly((a.gcd(q) ** j), x))
            (inv, coeffs) = (h_lc.invert(q), [S(1)])
            for coeff in h.coeffs()[1:]:
                T = (inv * coeff).rem(q)
                coeffs.append(T.as_expr())
            h = Poly(dict(list(zip(h.monoms(), coeffs))), x)
            H.append((h, q))
    return H

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

def ratint_logpart(f, g, x, t=None):