\documentclass{article}

\newbox\mybox
\newcount\myctr
\newdimen\mydim
\newskip\myskip
\newmuskip\mymuskip

\newdimen\twopt\twopt=2pt\relax
\newskip\twoskip\twoskip=2pt plus 2pt minus 2pt\relax
\newmuskip\twomuskip\twomuskip=2mu plus 2mu minus 2mu\relax
\def\testtext#1{%
  \setbox\mybox\hbox{#1}
  \par\noindent Text: `#1' is \the\wd\mybox\space x \the\ht\mybox\space + \the\dp\mybox.}
\def\testmath#1{%
  \setbox\mybox\hbox{$#1$}
  \par\noindent Math: `$#1$' is \the\wd\mybox\space x \the\ht\mybox\space + \the\dp\mybox.}
\def\testdimen#1{
  \mydim=#1\relax
  \myctr=\mydim\relax
  \par\noindent Dimen \detokenize{#1} = \the\mydim\space (\the\myctr).}

\def\testskip#1{
  \myskip=#1\relax
  \par\noindent Skip \detokenize{#1} = \the\myskip.}

\def\testmuskip#1{
  \mymuskip=#1\relax
  \par\noindent MuSkip \detokenize{#1} = \the\mymuskip.}

\begin{document}
\section{Dimensions}
\testdimen{0.1pt}
\testdimen{1sp}
\testdimen{1pt}
\testdimen{1pc}
\testdimen{1in}
\testdimen{1bp}
\testdimen{1cm}
\testdimen{1mm}
\testdimen{1dd}
\testdimen{1cc}
\testdimen{1px}                 % Actually present in latex?!? slightly > 1bp
\testdimen{1em}
\testdimen{1ex}

\testdimen{0.0ex}
\testdimen{0.01ex}
\testdimen{0.1ex}

\testdimen{\twopt}
\testdimen{-\twopt}
\testdimen{-\twoskip}
\testdimen{-0.5\twopt}
\testdimen{0.5\twopt}

\testdimen{1.2}

\section{Glue}
\testskip{1em plus 1fil minus 2fill}
\testskip{0.1ex plus 0.01ex minus 1ex}
\testskip{\twopt}
\testskip{\twoskip}
\testskip{-\twopt}
\testskip{-\twoskip}
\testskip{3\twopt plus 5\twopt minus 5\twopt}
\testskip{3\twoskip plus 5\twoskip minus 5\twoskip}

\section{Muglue}
\testmuskip{1mu plus 1fil minus 2fill}
\testmuskip{0.1mu plus 0.01mu minus 1mu}
\testmuskip{\twomuskip}
\testmuskip{-\twomuskip}
\testmuskip{3\twomuskip plus 5\twomuskip minus 5\twomuskip}

\section{Text}
\testtext{a}
\testtext{b}
\testtext{c}
\testtext{d}
\testtext{ab}
\testtext{abc}
\testtext{abcd}
\testtext{efg}
\testtext{efgij}
\testtext{Some Text}
\testtext{\,}

\section{Vertical}
\testtext{\vbox{\hbox{abc}}}
\testtext{\vbox{\hbox{abc}\hbox{abc}\hbox{abc}}}
\testtext{\vtop{\hbox{abc}\hbox{abc}\hbox{abc}}}
\testtext{\shortstack{abc\\abc\\abc}}
%\end{document}
%% NOT TESTED YET!
\section{Math}
% Note distinction between roman and math-italic!
\testmath{\mskip 1mu}
\testmath{\,}                   % Compare to \testtex above
\testmath{\!}
\testmath{\>}
\testmath{\;}
\testmath{a}
\testmath{ab}
\testmath{\mapstochar}
\testmath{a=b}
\testmath{g}
\testmath{abcde}
\testmath{fghij}
\testmath{klmno}
\testmath{pqrst}
\testmath{uvwxyz}
\testtext{g(x)}
\testmath{g(x)}
\testmath{\phantom{g(x)}}

%\testmath{\char 103}
%\testmath{\mathchar 103}

\end{document}