Comparing node coordinates in Tikz

Question

I am trying to generate drawings automatically based on node coordinates. The construction process itself is very easy: draw an arrow from node i to node i+1 (i and i+1 being node names, fixed beforehand, and which I do not want to modify). The tricky part is that nodes can be laid out in any order on a line, and I would like all arcs to be drawn above the horizontal line. I have attempted in vain to extract the x coordinates of my nodes and to compare them using \ifnumcomp:

\documentclass{article}
\usepackage{etoolbox}
\usepackage{tikz}
\begin{document}
This is fine:
\begin{tikzpicture}
% node placement
\node[circle,draw,inner sep=2pt] (0) at (0, 0) [label=below:0] {};
\node[circle,draw,inner sep=2pt] (1) at (1, 0) [label=below:1] {};
\node[circle,draw,inner sep=2pt] (2) at (2, 0) [label=below:2] {};
\foreach [count=\q from 0] \p in {1, 2}
    \draw[->,>=stealth] (\q) to [bend left=60] (\p);
% arcs
\end{tikzpicture}
This is not fine:
\begin{tikzpicture}
% node placement
\node[circle,draw,inner sep=2pt] (0) at (0, 0) [label=below:0] {};
\node[circle,draw,inner sep=2pt] (2) at (1, 0) [label=below:2] {};
\node[circle,draw,inner sep=2pt] (1) at (2, 0) [label=below:1] {};
\foreach [count=\q from 0] \p in {1, 2}
    \draw[->,>=stealth] (\q) to [bend left=60] (\p);
% arcs
\end{tikzpicture}, I want it to look like this: \begin{tikzpicture}
% node placement
\node[circle,draw,inner sep=2pt] (0) at (0, 0) [label=below:0] {};
\node[circle,draw,inner sep=2pt] (2) at (1, 0) [label=below:2] {};
\node[circle,draw,inner sep=2pt] (1) at (2, 0) [label=below:1] {};
% \foreach [count=\q from 0] \p in {1, 2}
    \draw[->,>=stealth] (0) to [bend left=60] (1);
    \draw[->,>=stealth] (1) to [bend right=60] (2);
% arcs
\end{tikzpicture}
This attempt at combining \verb|\ifnumcomp| and \verb|\pgfextractx| fails:
\begin{tikzpicture}
% node placement
\node[circle,draw,inner sep=2pt] (0) at (0, 0) [label=below:0] {};
\node[circle,draw,inner sep=2pt] (2) at (1, 0) [label=below:2] {};
\node[circle,draw,inner sep=2pt] (1) at (2, 0) [label=below:1] {};
\foreach [count=\q from 0] \p in {1, 2} {
    \newdimen\px
    \newdimen\qx
    \pgfextractx{\px}{\p}
    \pgfextractx{\qx}{\q}
    \ifnumcomp{\qx}{<}{\px}{
    \draw[->,>=stealth] (\q) to [bend left=60] (\p);
    }{
    \draw[->,>=stealth] (\q) to [bend right=60] (\p);
    }
}
% arcs
\end{tikzpicture}
\end{document}

The document renders as follows:

How can I fix my attempted solution? (or does anyone know a "better" / "simpler" / ... solution?)

(For better looking drawings, bend angles should probably be proportional to the distance between nodes, but I suppose this should be a separate question).

Answer 1

Using Andrew Stacey's answer to a related question allows me to obtain the wanted result. Here's a complete working example:

\documentclass{article}
\usepackage{etoolbox}
\usepackage{tikz}
% Andrew Stacey's code:
\makeatletter
\newcommand{\gettikzxy}[3]{%
\tikz@scan@one@point\pgfutil@firstofone#1\relax
\edef#2{\the\pgf@x}%
\edef#3{\the\pgf@y}%
}
\makeatother
\begin{document}
\begin{tikzpicture}
    % node placement
    \node[circle,draw,inner sep=2pt] (0) at (0, 0) [label=below:0] {};
    \node[circle,draw,inner sep=2pt] (2) at (1, 0) [label=below:2] {};
    \node[circle,draw,inner sep=2pt] (1) at (2, 0) [label=below:1] {};
% arcs
\foreach [count=\q from 0] \p in {1, 2} {
    \gettikzxy{(\p)}{\px}{\py}
    \gettikzxy{(\q)}{\qx}{\qy}
    \ifdimcomp{\qx}{<}{\px}{
        \draw[->,>=stealth] (\q) to [bend left=60] (\p);
    }{
        \draw[->,>=stealth] (\q) to [bend right=60] (\p);
    }
}

\end{tikzpicture}
\end{document}