  By a celebrated result of Ku\v{c}era and Slaman
(DOI:10.1137/S0097539799357441), the Martin-L\"of random left-c.e. reals form
the highest left-c.e. Solovay degree. Barmpalias and Lewis-Pye
(arXiv:1604.00216) strengthened this result by showing that, for all left-c.e.
reals $\alpha$ and $\beta$ such that $\beta$ is Martin-L\"of random and all
left-c.e. approximations $a_0,a_1,\dots$ and $b_0,b_1,\dots$ of $\alpha$ and
$\beta$, respectively, the limit \begin{equation*}
  \lim\limits_{n\to\infty}\frac{\alpha - a_n}{\beta - b_n} \end{equation*}
exists and does not depend on the choice of the left-c.e. approximations to
$\alpha$ and $\beta$.
  Here we give an equivalent formulation of the result of Barmpalias and
Lewis-Pye in terms of nondecreasing translation functions and generalize their
result to the set of all (i.e., not necessarily left-c.e.) reals.
