Scale ticklabels

Question

How can I scale the ticklabels in Tikz to replicate the Matlab command

set(gca, 'XTick', xt, 'XTickLabel', xt.^3)

As an example, the xtick labels should be converted to the following

xtick={10,15,20,25,30,35},
xticklabels={1000,3375,8000,15625,27000,42875},

I want to have an automated procedure for this. Something like this:

xticklabel={$\pgfmathprintnumber{\tick^3}$}

Sadly, tikz can not parse this...

Answer 1

Just use xticklabel={\pgfmathparse{\tick^3}$\pgfmathprintnumber{\pgfmathresult}$} as in the following example. If you have huge numbers, you might want to use fpu.

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\begin{document}
\begin{tikzpicture}
\begin{axis}[xticklabel={\pgfkeys{/pgf/fpu}\pgfmathparse{\tick^3}$\pgfmathprintnumber{\pgfmathresult}$}]
\addplot [domain=0:35] {x};
\end{axis}
\end{tikzpicture} 
\end{document}