% \iffalse meta-comment, etc.
%%
%% Package `pst-3d.dtx'
%%
%% Timothy Van Zandt <tvz@nwu.edu> (tvz)
%% Herbert Voss <voss@pstricks.de> (hv)
%%
%% September 03, 2005
%%
%% This file is under the LaTeX Project Public License 
%% See CTAN archives in directory macros/latex/base/lppl.txt.
%%
%% DESCRIPTION:
%%   `pst-3d' is a PSTricks package for tilting and other pseudo-3D tricks
%%
% \fi
% \iffalse
%<*driver>
\documentclass{ltxdoc}
\GetFileInfo{pst-3d.dtx}
\usepackage[T1]{fontenc}
\usepackage{textcomp,fancyvrb}
\usepackage{graphics,showexpl}
\usepackage{amsmath,array}
\usepackage{multido}
\usepackage{pstricks,pst-node,pst-plot}
\usepackage{pst-3d}
\AtBeginDocument{
%  \OnlyDescription % comment out for implementation details
  \EnableCrossrefs
  \RecordChanges
  \CodelineIndex}
\AtEndDocument{
  \PrintChanges
  \PrintIndex}
\hbadness=7000            % Over and under full box warnings
\hfuzz=3pt
\begin{document}
  \DocInput{pst-3d.dtx}
\end{document}
%</driver>
% \fi
%
% \changes{v1.00}{2005/09/08}{%
%	using the extended pst-xkey instead of the old pst-key package; 
%	creating a dtx file;
%	new \LaTeX\ wrapper file (hv)}
% \changes{v0.90}{2001/02/16}{First public release. (tvz)}
%
% \DoNotIndex{\!,\",\#,\$,\%,\&,\',\(,\+,\*,\,,\-,\.,\/,\:,\;,\<,\=,\>,\?}
% \DoNotIndex{\@,\@B,\@K,\@cTq,\@f,\@fPl,\@ifnextchar,\@nameuse,\@oVk}
% \DoNotIndex{\[,\\,\],\^,\_,\ }
% \DoNotIndex{\^,\\^,\\\^,$\^$,$\\^$,$\\^$}
% \DoNotIndex{\0,\2,\4,\5,\6,\7,\8,}
% \DoNotIndex{\A,\a}
% \DoNotIndex{\B,\b,\Bc,\begin,\Bq,\Bqc}
% \DoNotIndex{\C,\c,\catcode,\cJA,\CodelineIndex,\csname}
% \DoNotIndex{\D,\def,\define@key,\Df,\divide,\DocInput,\documentclass,\pst@addfams}
% \DoNotIndex{\eCN,\edef,\else,\eHd,\eMcj,\EnableCrossrefs,\end,\endcsname}
% \DoNotIndex{\endCenterExample,\endExample,\endinput,\endpsclip}
% \DoNotIndex{\PrintIndex,\PrintChanges,\ProvidesFile}
% \DoNotIndex{\endpspicture,\endSideBySideExample,\Example}
% \DoNotIndex{\F,\f,\FdUrr,\fi,\filedate,\fileversion,\FV@Environment}
% \DoNotIndex{\FV@UseKeyValues,\FV@XRightMargin,\FVB@Example,\fvset}
% \DoNotIndex{\G,\g,\GetFileInfo,\gr,\GradientLoaded,\gsFKrbK@o,\gsj,\gsOX}
% \DoNotIndex{\hbadness,\hfuzz,\HLEmphasize,\HLMacro,\HLMacro@i}
% \DoNotIndex{\HLReverse,\HLReverse@i,\hqcu,\HqY}
% \DoNotIndex{\I,\i,\ifx,\input,\Ir,\IU}
% \DoNotIndex{\j,\jl,\JT,\JVodH}
% \DoNotIndex{\K,\k,\kfSlL}
% \DoNotIndex{\L,\let}
% \DoNotIndex{\message,\mHNa,\mIU}
% \DoNotIndex{\N,\nB,\newcmykcolor,\newdimen,\newif,\nW}
% \DoNotIndex{\O,\oCDJDo,\ocQhVI,\OnlyDescription,\oRKJ}
% \DoNotIndex{\P,\p,\ProvidesPackage,\psframe,\pslinewidth,\psset}
% \DoNotIndex{\PstAtCode,\PSTricksLoaded}
% \DoNotIndex{\q,\Qr,\qssRXq,\qu,\qXjFQp,\qYL}
% \DoNotIndex{\R,\r,\RecordChanges,\relax,\RlaYI,\rN,\Rp,\rp,\RPDXNn,\rput}
% \DoNotIndex{\S,\scalebox,\SgY,\SideBySide@Example,\SideBySideExample}
% \DoNotIndex{\SgY,\sk,\Sp,\space,\sZb}
% \DoNotIndex{\T,\the,\tw@}
% \DoNotIndex{\u,\UiSWGEf@,\uJi,\usepackage,\uVQdMM,\UYj}
% \DoNotIndex{\VerbatimEnvironment,\VerbatimInput,\VrC@}
% \DoNotIndex{\WhZ,\WjKCYb,\WNs}
% \DoNotIndex{\XkN,\XW}
% \DoNotIndex{\Z,\ZCM,\Ze}
% \DoNotIndex{\addtocounter,\advance,\alph,\arabic,\AtBeginDocument,\AtEndDocument}
% \DoNotIndex{\AtEndOfPackage,\begingroup,\bfseries,\bgroup,\box,\csname}
% \DoNotIndex{\else,\endcsname,\endgroup,\endinput,\expandafter,\fi}
% \DoNotIndex{\TeX,\z@,\p@,\@one,\xdef,\thr@@,\string,\sixt@@n,\reset,\or,\multiply,\repeat,\RequirePackage}
% \DoNotIndex{\@cclvi,\@ne,\@ehpa,\@nil,\copy,\dp,\global,\hbox,\hss,\ht,\ifodd,\ifdim,\ifcase,\kern}
% \DoNotIndex{\chardef,\loop,\leavevmode,\ifnum,\lower}
% \setcounter{IndexColumns}{2}
%
% \let\pstIIIDFileVersion\fileversion
% \let\pstIIIDFileDate\filedate
% \newcommand{\PstIIIDPackage}{`\textsf{pst-3d}'}
% \newcommand{\PstIIIDMacro}{\cs{Pst3d}}
%
% ^^A From ltugboat.cls
%
% ^^A Typeset the name of an environment
% \providecommand\env[1]{\textsf{#1}}
% \providecommand\clsname[1]{\textsf{#1}}
% \providecommand\pkgname[1]{\textsf{#1}}
% \providecommand\optname[1]{\textsf{#1}}
% \providecommand\progname[1]{\textsf{#1}}
%
% ^^A A list of options for a package/class
% \newenvironment{optlist}{\begin{description}%
%   \renewcommand\makelabel[1]{%
%     \descriptionlabel{\mdseries\optname{##1}}}%
%   \itemsep0.25\itemsep}%
%  {\end{description}}
%
% \makeatletter
%
% ^^A Utility macros
%
% ^^A Example macros - adapted from the `fvrb-ex' package
% ^^A ---------------------------------------------------
%
% ^^A Take care that we use here the four /?_Z characters as escape
% ^^A characters, so we can't use these characters in the examples!
%
% ^^A To highlight some verbatim sequences (comments, macro names, etc.)
% \def\HLEmphasize#1{\textit{#1}}
% \newcommand{\BS}{\texttt{\symbol{`\\}}}
% \def\HLMacro#1{\BS{}def\HLMacro@i#1\@nil}
% \def\HLMacro@i#1def#2\@nil{\HLReverse{#2}}
% \def\HLReverse#1{{\setlength{\fboxsep}{1pt}\HLReverse@i{#1}}}
% \def\HLReverse@i#1{\colorbox{black}{\textcolor{white}{\textbf{#1}}}}
%
% \def\Example{\FV@Environment{}{Example}}
% \def\endExample{%
% \end{VerbatimOut}
% \Below@Example{\input{\jobname.tmp}}
% \endgroup}
%
% \def\CenterExample{\FV@Environment{}{Example}}
% \def\endCenterExample{%
% \end{VerbatimOut}
% \begin{center}
%   \Below@Example{\input{\jobname.tmp}}
% \end{center}
% \endgroup}
%
% \def\SideBySideExample{\FV@Environment{}{Example}}
% \def\endSideBySideExample{%
% \end{VerbatimOut}
% \SideBySide@Example{\input{\jobname.tmp}}
% \endgroup}
%
% \def\FVB@Example{%
% \begingroup
% \FV@UseKeyValues
% \parindent=0pt
% \multiply\topsep by 2
% \VerbatimEnvironment
% \begin{VerbatimOut}[gobble=4,codes={\catcode`\Z=12}]{\jobname.tmp}}
%
% \def\Below@Example#1{%
% \VerbatimInput[gobble=0,commentchar=Z,commandchars=/?_,frame=single,
%                numbers=left,numbersep=3pt]{\jobname.tmp}
% \catcode`\%=14\relax
% \catcode`\Z=9\relax
% ^^A We suppress the effect of the highlighting macros
% \catcode`/=0\relax
% \catcode`?=1\relax
% \catcode`_=2\relax
% \def\HLEmphasize##1{##1}%
% \def\HLMacro##1{##1}%
% \def\HLReverse##1{##1}%
% #1
% \par}
%
% \def\SideBySide@Example#1{%
% \vskip 1mm
% \@tempdimb=\FV@XRightMargin
% \advance\@tempdimb -5mm
% \begin{minipage}[c]{\@tempdimb}
%   \fvset{xrightmargin=0pt}
%   \catcode`\%=14\relax
%   \catcode`\Z=9\relax
%   ^^A We suppress the effect of the highlighting macros
%   \catcode`/=0\relax
%   \catcode`?=1\relax
%   \catcode`_=2\relax
%   \def\HLEmphasize##1{##1}%
%   \def\HLMacro##1{##1}%
%   \def\HLReverse##1{##1}%
%   #1
% \end{minipage}%
% \@tempdimb=\textwidth
% \advance\@tempdimb -\FV@XRightMargin
% \advance\@tempdimb 5mm
% \begin{minipage}[c]{\@tempdimb}
%   \VerbatimInput[gobble=0,commentchar=Z,commandchars=/?_,
%                  frame=single,numbers=left,numbersep=3pt,
%                  xleftmargin=5mm,xrightmargin=0pt]{\jobname.tmp}
% \end{minipage}
% \vskip 1mm}
%
% ^^A End of example macros from `fvrb-ex'
%
% ^^A Customizations of the "Verbatim" environment
% \RecustomVerbatimEnvironment{Verbatim}{Verbatim}%
%   {gobble=4,frame=single,numbers=left,numbersep=3pt,commandchars=/?_}
%
% ^^A For the possible index and changes log
% \setlength{\columnseprule}{0.6pt}
%
%
% \def\PiCTeX{PiC\TeX}
% \def\arc{\texttt{arc}}
% \def\sign{\texttt{sign}}
%
% ^^A Beginning of the documentation itself
%
% \title{The \PstIIIDPackage{} package\\Tilting and other pseudo-3D tricks with PSTricks}
% \author{Timothy Van Zandt\\
%    Herbert Vo\ss}
% \date{Version \pstIIIDFileVersion\ \pstIIIDFileDate\ \\
%       {\small Documentation revised \today\ (hv)}}
%
% \maketitle
%
% \begin{abstract}
% \texttt{pst-3d} provides basic macros for shadows, tilting and 
% three dimensional representations of text or graphical objects.
% \end{abstract}
%
% \clearpage
% \tableofcontents
%
% \section{introduction}
%
% The base package \texttt{pstricks} already disposes of some macros with which three
% dimensional effects can be obtained.
% There are several packages though which support the creation of three
% dimensional objects or functions. A compilation is shown in
% table~\ref{tab:pst3d:pakete}. Here already several of the packages overlap, for
% parallel developments are nothing unusual in the \TeX{} world. Although
% \verb+pst-3d+ is one of the older packages, it shall be dealt with nevertheless,
% for it also contains the preliminary stage of the 3D representations, that is
% shadow creation and tilting.
%
% \begin{table}[htb]
% \caption{Summary of all 3D packages}\label{tab:pst3d:pakete}
% \centering
% \begin{tabular}{ll}
% \emph{package} & \emph{content}\\\hline
% \texttt{pst-3d}     & basic 3D operations\\
% \texttt{pst-3dplot} & Three dimensional plots\\
% \texttt{pst-fr3d}   & Three dimensional framed Boxes\\
% \texttt{pst-gr3d}   & 3D grids\\
% \texttt{pst-map3dII}& 3D Geographical Projection\\
% \texttt{pst-ob3d}   & Three dimensional basic objects\\
% \texttt{pst-vue3d}  & Three dimensional views\\
% \end{tabular}
% \end{table}
%
%
% \section{Shadow}\label{sec:pst3d:schattenwurf}
% \verb+pst-3d+ defines the macro \verb+\psshadow+ with the following syntax:
% \begin{verbatim}
% \psshadow[<parameters>]{<material>]
% \end{verbatim}
% As parameters the ones given in table~\ref{tab:pst-3d:schattenparameter} are
% available next to all previously defined, if they have a meaning for the
% material to be shadowed. This can be anything text-like, text, rules and
% mathematical expressions in inline mode.
% 
% \medskip
% \begin{SideBySideExample}[xrightmargin=.35\linewidth]
%   \newgray{gray75}{.75}
%   \psset{Tshadowcolor=gray75}
%   \psshadow{\huge Shadow}\\[10pt]
%   \psshadow{\huge $f(x)=x^2$}\\[15pt]
%   \psshadow[Tshadowsize=2.5]{%
%     \rule{2cm}{10pt}}
% \end{SideBySideExample}
% 
% \subsection{Parameters}\label{subsec:pst3d:schattenparameter}
% Table~\ref{tab:pst-3d:schattenparameter} shows a compilation of the used
% parameters.
% 
%
%
%
% \begin{table}[htb]
% \caption{Summary of all \texttt{shadow} parameters}\label{tab:pst-3d:schattenparameter}
% \centering
% \begin{tabular}{>{\ttfamily}l>{\ttfamily}l>{\ttfamily}l}
% \textrm{\emph{name}} & \textrm{\emph{values}}  & \textrm{\emph{default}}\\\hline
% Tshadowangle & <angle> & 60\\
% Tshadowcolor & <colour> & lightgray\\
% Tshadowsize & <value> & 1
% \end{tabular}
% \end{table}
% 
% 
% \subsubsection{\texttt{Tshadowangle}}\label{subsubsec:pst3d:tshadowangle}
% \verb+Tshadowangle+ denotes the angle of the shadow,
% referring to the perpendicular of the paper plane. The angle of $90$° therewith
% corresponds to the text itself. Negative angles cause the shadow to arise
% from the paper plane.

% \medskip
% \begin{SideBySideExample}[xrightmargin=.25\linewidth]
%   \newgray{gray75}{.75}
%   \psset{Tshadowcolor=gray75}
%   \psshadow{\huge shadow}\\[5pt]
%   \psshadow[Tshadowangle=30]{\huge shadow}\\[5pt]
%   \psshadow[Tshadowangle=70]{\huge shadow}\\[5pt]
%   \psshadow[Tshadowangle=-30]{\huge shadow}
% \end{SideBySideExample}
% 
% \medskip
% \begin{itemize}
% 	\item Angular values of $0$° and $180$° are not allowed.
% \end{itemize}
% 
% 
% 
% \subsubsection{\texttt{Tshadowcolor}}\label{subsubsec:pst3d:tshadowcolor}
% \verb+Tshadowcolor+ deontes the shadow colour.
% 
% \begin{SideBySideExample}[xrightmargin=.25\linewidth]
%   \psshadow{\huge shadow}\\[5pt]
%   \psshadow[Tshadowcolor=red]{\huge shadow}\\[5pt]
%   \psshadow[Tshadowcolor=green]{\huge shadow}\\[5pt]
%   \psshadow[Tshadowcolor=blue]{\huge shadow}
% \end{SideBySideExample}
% 
% 
% \subsubsection{\texttt{Tshadowsize}}\label{subsubsec:pst3d:tshadowsize}
% \verb+Tshadowsize+ determines the size of the
% shadow\index{shadow!size} as a scaling factor\index{scaling factor}.
% 
% \begin{SideBySideExample}[xrightmargin=.25\linewidth]
%   \psshadow{\Huge shadow}\\[5pt]
%   \psshadow[Tshadowsize=0.5]{\Huge shadow}\\[10pt]
%   \psshadow[Tshadowsize=1.5]{\Huge shadow}\\[20pt]
%   \psshadow[Tshadowsize=2.5]{\Huge shadow}
% \end{SideBySideExample}
% 
% 
% 
% 
% 
% \section{Tilting}\label{sec:pst3d:kippen}
% With the tilting of objects the
% perspective views of three dimensional objects can be simulated. \verb+pst-3d+
% defines two macros for this.
% 
% \begin{verbatim}
% \pstilt[<parameters>]{<angle>}{<material>}
% \psTilt[<parameters>]{<angle>}{<material>}
% \end{verbatim}
% 
% Figure~\ref{fig:pst3d:demo} shows the difference between these two macros.
% Principally everything can be given as argument to those macros and therewith
% tilted. With vertical material, as distinguished formulae, eventually the
% argument has to be put into a \verb+\parbox+ before (see
% example),
% 
% \begin{figure}[htb]
% \centering
% \bgroup
% \begin{pspicture}(0,-0.2)(9,3)
% \psline[linestyle=dashed](0,2)(9,2)
% \psline{->}(9,0)
% \def\Bar{\psframe*[linecolor=lightgray](0,0)(0.5,2)}
% \rput(0.5,0){\Bar}
% \psset{arrowscale=2,linewidth=0.1pt,tbarsize=2mm}
% \psline{|<->|}(0.25,0)(0.25,2)\rput*{90}(0.25,1){\small 2cm}
% \rput(2,0){\psTilt{30}{\Bar}}
% \psarc{->}(2.2,0){2}{0}{26}\rput(4.5,0.5){30°}
% \pnode(2,0.3){A}\pnode(5.3,2.25){B}
% \ncline{|<->|}{A}{B}\ncput*[nrot=:U]{\small 4cm}
% \rput(6,0){\pstilt{30}{\Bar}}
% \psarc{->}(6.2,0){2}{0}{26}\rput(8.5,0.5){30°}
% \pnode(6,0.3){A}\pnode(7.65,1.25){B}
% \ncline{|<->|}{A}{B}\ncput*[nrot=:U]{\small 2cm}
% \uput[90](0.5,2.5){\cs{Bar}}
% \uput[90](3.75,2.5){\cs{psTilt\{30\}\{\textbackslash Bar\}}}
% \uput[90](7.25,2.5){\cs{pstilt\{30\}\{\textbackslash Bar\}}}
% \end{pspicture}
% \egroup
% \caption{Demonstration of the difference between \cs{pstilt} and \cs{psTilt}}\label{fig:pst3d:demo}
% \end{figure}
% 
% \medskip
% \begin{itemize}
% 	\item Angular values of $0$\textdegree\ and $180$\textdegree\ are not allowed.
% \end{itemize}
% 
% \subsection{\cs{pstilt}}\label{subsec:pst3d:pstilt}
% \verb+\pstilt+ tilts objects that their original height appears
% as new length of the tilted object, wherewith the object becomes smaller. The
% hynotenuse of the triangle from nadir, height and perpendicular now corresponds
% to the old height (see figure~\ref{fig:pst3d:demo}). At this the length is
% calculated from the middle of the base side.
% 
% 
% \medskip\noindent
% \begin{SideBySideExample}[xrightmargin=.4\linewidth]
%   \def\Bar{\psframe(0,0)(0.25,2)}
%   \begin{pspicture}(5,2)
%     \multido{\nA=15+15}{11}{\rput(2.5,0){%
%       \pstilt{\nA}{\Bar}}}
%   \end{pspicture}
% \end{SideBySideExample}
% 
% 
% 
% \medskip\noindent
% \begin{SideBySideExample}[xrightmargin=.4\linewidth]
%   \pstilt{60}{%
%     \begin{pspicture}(-0.5,-0.5)(2,2)
%       \psaxes[axesstyle=frame](2,2)
%     \end{pspicture}}
% \end{SideBySideExample}
% 
% 
% \medskip\noindent
% \begin{SideBySideExample}[xrightmargin=.4\linewidth]
%   \newpsstyle{TCyan}{%
%     fillstyle=vlines,hatchcolor=cyan,
%     hatchwidth=0.1\pslinewidth,%
%     hatchsep=1.5\pslinewidth}
%   \begin{pspicture}(2,4)
%     \rput[lb](0,0){\pstilt{45}{%
%       \psframe[linestyle=dashed,%
%         fillstyle=solid,fillcolor=red](2,4)}}
%     \psframe[style=TCyan](0,0)(2,4)
%   \end{pspicture}
% \end{SideBySideExample}
%
% 
% \medskip
% With the package \verb+rotating+ macros to rotate text are
% provided, to achieve slant table headings for example. It is more difficult when
% they are provided with a frame. With \cs{pstilt} or \cs{psTilt} this is no
% problem. The program listing given below only shows the application of
% \cs{pstilt} for the macro only has to be replaced by \cs{psTilt} to obtain the
% other example.

% \begin{SideBySideExample}[xrightmargin=.3\linewidth]
%   \begin{tabular}{l}
%   \pstilt{60}{%
%   \begin{tabular}{|p{1em}|p{1em}|p{1em}|}\hline
%   \psrotateleft{column 1\ } 
%     &  \psrotateleft{column 2\ } 
%     &  \psrotateleft{column 3\ }
%   \end{tabular}}\\
%   \begin{tabular}{|p{1em}|p{1em}|p{1em}|}\hline
%    1 & 2 & 3 \\\hline
%    4 & 5 & 6 \\\hline
%   \end{tabular}
%   \end{tabular}
% \end{SideBySideExample}
%
% 
% \subsection{\cs{psTilt}}\label{subsec:pst3d:psTilt}
% \verb+\psTilt+ tilts objects that their original height is
% preserved, so that the object could become infinitely long in theory (see
% figure~\ref{fig:pst3d:demo}).
% 
% 
% \medskip\noindent
% \begin{CenterExample}
%   \begin{pspicture}(5,2)
%   \def\Bar{\psframe(0,0)(0.25,2)}
%   \multido{\nA=15+15}{11}{\rput(2.5,0){%
%     \psTilt{\nA}{\Bar}}}
%   \end{pspicture}
% \end{CenterExample}
% 
% 
% 
% \medskip\noindent
% \begin{SideBySideExample}[xrightmargin=.4\linewidth]
%   \psTilt{60}{%
%     \begin{pspicture}(-0.5,-0.5)(2,2)
%       \psaxes[axesstyle=frame](2,2)
%     \end{pspicture}}
% \end{SideBySideExample}
% 
% 
% \medskip\noindent
% \begin{SideBySideExample}[xrightmargin=.475\linewidth]
%   \newpsstyle{TCyan}{%
%    fillstyle=vlines,hatchcolor=cyan,
%    hatchwidth=0.1\pslinewidth,%
%    hatchsep=1.5\pslinewidth}
%   \begin{pspicture}(2,4)
%    \rput[lb](0,0){\psTilt{45}{%
%     \psframe[linestyle=dashed,%
%      fillstyle=solid,%
%      fillcolor=red](2,4)}}
%    \psframe[style=TCyan](0,0)(2,4)
%   \end{pspicture}
% \end{SideBySideExample}
%
% 
% \section[Three dimensional representations]{%
% Three dimensional representations\protect\footnote{Some of the examples were created by Manuel Luque.}}\label{sec:pst3d:3d}
%
%
% \verb+pst-3d+ only supports parallel projections, so that geometrical objects
% such as spheres or cylinders can only be displayed restricted. Although
% \verb+pst-3d+ principally only defines one single macro for the 3D
% projection, the package is very efficient in its
% application and is also used as a base for other packages.\cite{pst-3dplot}\cite{pst-vue3d}
% 
% \subsection{\cs{ThreeDput}}\label{subsec:pst3d:threedput}
% \verb+pst-3d+ only defines this single macro, which can be
% used to arbitrarily display line or area shaped objects in the three dimensional
% space in the end though.
% 
% \begin{verbatim}
% \ThreeDput[<parameters>]{<material>}
% \ThreeDput[<parameters>](<x,y,z>){<material>}
% \end{verbatim}
% 
% Without a specification of coordinates, $(0,0,0)$ is taken as origin of
% ordinates as a rule. As ``material''{} anything is understood that can be put
% into a box. If it is vertical material in the \TeX{} sense, it has to be put in
% a \verb+\parbox+ or \verb+minipage+ before.
% 
% To simplify the specified source code, the macro \verb+\IIIDKOSystem+ is used in
% the following, which draws the coordinate axes with the grid and is not
% specified in the following anymore.
% 
% 
% \makeatletter
% \newgray{gray75}{0.75}\newgray{gray80}{0.80}newgray{gray85}{0.85}
% \newgray{gray90}{0.90}\newgray{gray95}{0.95}
% \def\xyPlain#1{%
%   \ThreeDput[normal=0 0 1](0,0,0){%
%     \psgrid[subgriddiv=0,gridcolor=lightgray](0,0)(#1,#1)% 
%     \psline{->}(0,0)(0,#1)\psline{->}(0,0)(#1,0)%
%     \ifdim\psk@gridlabels pt>\z@
%        \uput[180]{0.2}(0,#1){$y$}\uput[-90]{0.2}(#1,0){$x$}\fi}}
% \def\xzPlain#1{%
%   \ThreeDput[normal=0 -1 0](0,0,0){%
%     \psgrid[subgriddiv=0,gridcolor=lightgray](0,0)(#1,#1)% 
%     \psline{->}(0,0)(0,5) \psline{->}(0,0)(#1,0)%
%     \ifdim\psk@gridlabels pt>\z@% 
%       \uput[180]{0.2}(0,#1){$z$}\uput[-90]{0.2}(#1,0){$x$}%
%     \fi}}
% \def\yzPlain#1{%
%   \ThreeDput[normal=1 0 0](0,0,0){%
%     \psgrid[subgriddiv=0,gridcolor=lightgray](0,0)(#1,#1)%
%     \psline{->}(0,0)(0,#1) \psline{->}(0,0)(#1,0)%
%     \ifdim\psk@gridlabels pt>\z@%
%       \uput[180]{0.2}(0,#1){$z$}\uput[-90]{0.2}(#1,0){$y$}%
%     \fi}}
% \def\IIIDKOSystem{\@ifnextchar[{\IIIDKOSystem@i}{\IIIDKOSystem@i[]}}
% \def\IIIDKOSystem@i[#1]#2{%
%   \psset{#1}%
%   \xyPlain{#2}\xzPlain{#2}\yzPlain{#2}}
% \makeatother
% 
% \medskip\noindent
% \begin{CenterExample}
%   \makeatletter
%   \def\xyPlain#1{%
%    \ThreeDput[normal=0 0 1](0,0,0){% xy-plane
%     \psgrid[subgriddiv=0,gridcolor=lightgray](0,0)(#1,#1) 
%     \psline{->}(0,0)(0,#1) \psline{->}(0,0)(#1,0)
%     \ifdim\psk@gridlabels pt>\z@ 
%        \uput[180]{0.2}(0,#1){$y$}\uput[-90]{0.2}(#1,0){$x$}\fi }}
%   \def\xzPlain#1{%
%    \ThreeDput[normal=0 -1 0](0,0,0){% xz-plane
%     \psgrid[subgriddiv=0,gridcolor=lightgray](0,0)(#1,#1) 
%     \psline{->}(0,0)(0,5) \psline{->}(0,0)(#1,0)
%     \ifdim\psk@gridlabels pt>\z@
%       \uput[180]{0.2}(0,#1){$z$}\uput[-90]{0.2}(#1,0){$x$}%
%     \fi }}
%   \def\yzPlain#1{%
%    \ThreeDput[normal=1 0 0](0,0,0){% yz-plane
%     \psgrid[subgriddiv=0,gridcolor=lightgray](0,0)(#1,#1) 
%     \psline{->}(0,0)(0,#1) \psline{->}(0,0)(#1,0)
%     \ifdim\psk@gridlabels pt>\z@
%       \uput[180]{0.2}(0,#1){$z$}\uput[-90]{0.2}(#1,0){$y$}%
%     \fi }}
%   \def\IIIDKOSystem{\@ifnextchar[{\IIIDKOSystem@i}{\IIIDKOSystem@i[]}}
%   \def\IIIDKOSystem@i[#1]#2{%
%    \psset{#1}%
%    \xyPlain{#2}\xzPlain{#2}\yzPlain{#2}}
%   \makeatother
%   \newgray{gray75}{0.75}
%   \newgray{gray80}{0.8}
%   \newgray{gray85}{0.85}
%   \newgray{gray95}{0.95}
%   \begin{pspicture}(0,-1.25)(5,6)
%    \psset{viewpoint=1 -1 0.75}
%    \IIIDKOSystem{5}
%    \ThreeDput{\psframe*[linecolor=gray80](3,3)}
%    \ThreeDput(1.5,1.5,0){\Huge below}
%    \ThreeDput(0,0,1.5){\psframe*[linecolor=gray75](3,3)}
%    \ThreeDput(1.5,1.5,1.5){\Huge center}
%    \ThreeDput(0,0,3){\psframe*[linecolor=gray85](3,3)}
%    \ThreeDput(1.5,1.5,3){\Huge above}
%    \xzPlain{5}
%    \ThreeDput(4,4,0){\psframe*[linecolor=gray95](-1,-1)(1,1)}
%    \ThreeDput(4,4,0){\psdot[dotscale=3]}
%   \end{pspicture}
% \end{CenterExample}
% 
% 
% The coordinates of \verb+ThreeDput+ refer to the centre of the object, which
% does not necessarily need to be the geometrical centre.
% \begin{verbatim}
% \psframe(2,2)%         centre bottom left (0,0)
% \psframe(-1,-1(1,1)%   centre in the middle (0,0)
% arbitrary text%        centre in the middle of the base line
% \end{verbatim}
% 
% In the above example the smaller square with its centre $(0,0)$ has been set
% exactly to the coordinated $(4,4,0)$.
% The macro \verb+ThreeDput+ can be manifoldly applied, which is performed
% especially by the package \verb+pst-vue3d+\cite{pst-vue3d}. By
% specifying the normal vector $\vec{n}$ and a point $P(x,y,z)$ of the stright
% line and/or the plane the posture in space can be determined definitely. Areas
% can be provided with different levels of brightness to increase the spatial
% impression.
% 
% 
% 
% \medskip\noindent
% \begin{CenterExample}
%   \newgray{gray75}{0.75}\newgray{gray85}{0.85}\newgray{gray95}{0.95}
%   \begin{pspicture}(-4.5,-3.5)(3,4.75)
%   \psset{viewpoint=1 1.5 1}
%   \IIIDKOSystem[gridlabels=0pt,gridcolor=lightgray,subgriddiv=0]{5}%
%   \ThreeDput[normal=0 0 1]{% xy-plane
%     \psline[linewidth=3pt,linecolor=blue]{->}(4,4)(4,5.5)%
%     \uput[90](4,5.5){\color{blue}$\vec{n}-{A}$}}%
%   \ThreeDput[normal=0 -1 0]{%  xz-plane
%     \psline[linewidth=3pt,linecolor=green]{->}(4,0)(5.5,0)%
%     \uput[90](5.5,0){\psscalebox{-1 1}{%
%       \textcolor{green}{$\vec{n}-B$}}}}%
%   \ThreeDput[normal=1 0 0]{%  yz-plane
%     \psline[linewidth=3pt,linecolor=red]{->}(0,4)(0,5.5)%
%     \uput[0](0,5.5){$\vec{n}-{top}$}}% cube and axes
%   \ThreeDput[normal=0 0 1](0,0,4){%
%     \psframe*[linecolor=gray75](4,4)\rput(2,2){\Huge\textbf{TOP}}}%
%   \ThreeDput[normal=0 1 0](4,4,0){%
%     \psframe*[linecolor=gray95](4,4)\rput(2,2){\Huge\textbf{side A}}}%
%   \ThreeDput[normal=1 0 0](4,0,0){%
%     \psframe*[linecolor=gray85](4,4)\rput(2,2){\Huge\textbf{side B}}}%
%   \ThreeDput[normal=0 0 1](0,0,4){%
%     \psline(4,0)\uput[90](3,0){$X-top$}\psline(0,4)\uput[0](0,3){$Y-top$}}%
%   \ThreeDput[normal=0 1 0](4,4,0){%
%     \psline(4,0)\uput[90](3,0){$X-A$}\psline(0,4)\uput[0](0,3){$Y-A$}}%
%   \ThreeDput[normal=1 0 0](4,0,0){%
%     \psline(4,0)\uput[90](3,0){$X-B$}\psline(0,4)\uput[0](0,3){$Y-B$}}%
%   \end{pspicture}
% \end{CenterExample}
%  
%
% \subsection{3D parameters}\label{subsec:pst3d:3dParameter}
% Table~\ref{tab:pst-3d:3dparameter} shows a compilation of
% the parameters which can be used to influence 3D representations.
% 
% \begin{table}[htb]
% \caption{Summary of all 3D parameters}\label{tab:pst-3d:3dparameter}
% \begin{tabular}{>{\ttfamily}l>{\ttfamily}l>{\ttfamily}l}
% \textrm{name} & \textrm{values}  & \textrm{default}\\\hline
% viewpoint & <valuex valuey valuez> & 1 -1 1\\
% viewangle & <angle> & 0\\
% normal & <valuex valuey valuez> & 0 0 1\\
% embedangle & <angle> & 0
% \end{tabular}
% \end{table}
% 
% \subsubsection{\texttt{viewpoint}}\label{subsubsec:pst3d:viewpoint}
% The viewing direction to the 3D object influences the
% representation essentially. With \verb+viewpoint+ the $(x,y,z)$ coordinates
% which denote the vector of the viewing direction are specified. Because of the
% parallel projection the length of this vector is unimportant, so that 
% \verb+(10.5 1.5)+ and \verb+(2 1 3)+ yield the same representations.
% Figure~\ref{fig:pst3d:viewpoint} shows who somebody would regard this
% representation, whereat the representation itself is of course regarded from
% another point in this case, otherwise one had to look directly onto the vector.
%
%  
% \SpecialCoor
% \def\oeil{%
%   \pscurve(1;160)(0.8;180)(1;200)
%   \pscustom{\gsave\psarc(0,0){1}{165}{195}
%      \pscurve(1;195)(0.85;180)(1;165)
%      \fill[fillstyle=solid,fillcolor=blue]\grestore}
%   \pscurve[linewidth=.4pt](1;195)(0.85;180)(1;165)
%   {\psset{linewidth=2pt}
%    \psarc(0,1){1}{180}{270}
%    \psarc(0,-1){1}{90}{180}}
%    \psarc(0,0){1}{150}{210}
% \psset{linewidth=4pt,linecolor=gray}
% \pscurve(-.5,3.5)(-1,3)(-1.2,2.5)(-1.3,2)(-1.4,1)(-1.35,0.5)(-1.2,-.2)(-1.35,-.5)
% (-1.4,-1)(-1.5,-1.5)(-1.8,-2)(-1.8,-2.3)(-1.65,-2.5)(-1.35,-2.55)(-.95,-2.8)
% (-.95,-3.35)(-1,-3.65)(-.8,-4)(-.4,-4.1)
% \pscurve(-.8,-4)(-.8,-4.2)(-.5,-4.5)(-.4,-5)(-.25,-5.5)(0,-5.8)(.5,-6)}
% 
% 
% \begin{figure}[htb]
% \centering
% \begin{pspicture}(-5,-1)(5,6)
% \psset{viewpoint=3 5 2}
% \psset{unit=2}
% \ThreeDput[normal=0 0 1](0,0,0){%
%     \psline{->}(0,0)(2,0)
%     \uput[90](2,0){$x$}
%     \qdisk(1,0.5){2pt}
%     \psline(1,0)(1,0.5)\psline(1,0.5)(0,0.5)
%     \psline[linestyle=dotted](0,0)(1,0.5)
%     \psset{fillstyle=solid,fillcolor=lightgray,linestyle=none}
%     \psframe(1,0)(1.15,.15)
%     \psframe(0,.5)(.15,.65)}
% \ThreeDput[normal=1 0 0](0,0,0){%
%     \psline{->}(0,0)(2,0)
%     \uput[90](2,0){$y$}
%     \psline{->}(0,0)(0,2)
%     \uput[180](0,2){$z$}
%     \uput[90](0.5,0){0.5}
%     \uput[180](0,1.5){1.5}
%     \uput[135](0,0){0}
%     \rput(1.2,1.5){\large 3D representations}}
% \ThreeDput[normal=0 1 0](0,0,0){%
%     \uput[90](-2,0){$x$}
%     \uput[90](-1,0){1}
%     \rput(-1.5,1){\texttt{pst-3d}}}
% \ThreeDput[normal=.5 -1 0](0,0,0){%
%     \psframe[linestyle=none,fillstyle=hlines,hatchwidth=0.1pt,
%         hatchsep=2pt,hatchcolor=gray90](0,0)(1.118,1.5)
%     \psline[linewidth=3pt,linecolor=red,arrowinset=0]{->}(0,0)(1.118,1.5)
%     \psline[linestyle=dashed](0,0)(2.236,3)
%     \psline(1.118,0)(1.118,1.5)
%     \psline(1.118,1.5)(0,1.5)
%     \rput{53.3}(2.5348,3.4009){\psscalebox{0.2}{\oeil}}}
% \end{pspicture}
% \caption{Definition of the \texttt{viewpoints}}\label{fig:pst3d:viewpoint}
% \end{figure}
% 
% 
% For figure~\ref{fig:pst3d:viewpoint} a viewpoint of \verb+viewpoint=3 5 2+ was
% defined. If one desires to regard it for instance from the $y$ axis from a
% larger height, \verb+viewpoint=0 1 3+ could be chosen. The viewer has moved one
% unit in $y$ direction and four units in $z$ direction from the centre (origin)
% and regards everything from there.  
% 
% 
% \medskip
% \begin{itemize}
% 	\item The \verb+viewpoint+ principally \textbf{has} to be defined with
% 		values not equal to zero, for this would lead to a division by zero.
% 		Specifications of $0.001$ for a coordinate are already sufficing to
% 		escape the division by zero and blind out the coordinate.
% \end{itemize}
% 
% A good value for the viewpoint would be \verb+viewpoint=1 1 0.5+ for instance,
% which corresponds to a horizontal rotation by 45° and a vertical by ca. 20°.
% Another meaningful point is also \verb+viewpoint=1.5 1 0.5+, which now
% corresponds to a horizontal rotation by 33° and the same vertical rotation. Both
% can be seen in the examples below.
% 
% \medskip
% \begin{CenterExample}
%   \begin{pspicture}(-3,-2.5)(-3,4)
%    \psset{unit=0.75}
%    \psset{viewpoint=1 1 0.5}
%    \IIIDKOSystem{5}
%   \end{pspicture}\hfill
%   \begin{pspicture}(-3,-2.5)(2.2,4)
%    \psset{unit=0.75}
%    \psset{viewpoint=1 1.5 0.5}
%    \psset{gridlabels=6pt}
%    \IIIDKOSystem{5}
%   \end{pspicture}
% \end{CenterExample}
% 
% 
% \subsubsection{\texttt{viewangle}}\label{subsubsec:pst3d:viewangle}
% Additional to the \verb+viewpoint+ option one can rotate the object by another
% option called \verb+viewangle+. This could also be done by the macro \verb+\rotatebox+, 
% but \verb+viewangle+ has some advantages .
% 
% 
% \bigskip\noindent
% \begin{CenterExample}
%   \begin{pspicture}(-1,-2.5)(4,4)
%     \psset{unit=0.7,viewpoint=1 1 0.5,viewangle=20}
%     \IIIDKOSystem{5}
%     \ThreeDput(0,0,0){\psframe*[linecolor=gray80](4,4)}
%     \ThreeDput(2,2,0){\Huge Unten}
%   \end{pspicture}
%   \begin{pspicture}(-3,-2.5)(1,4)
%     \psset{unit=0.7,viewpoint=1 1.5 0.5,viewangle=-30}
%     \IIIDKOSystem{5}
%     \ThreeDput(0,0,0){\psframe*[linecolor=gray80](4,4)}
%     \ThreeDput(2,2,0){\Huge Unten}
%   \end{pspicture}
% \end{CenterExample}
%  
% 
% \subsubsection{\texttt{normal}}\label{subsubsec:pst3d:normal}
% \verb+normal+ denotes the direction of the normal
% vector which is perpendicular to a corresponding area.
% Therewith the posture of an object in three dimensional space is definitely
% determined by the normal vector.
% 
% \medskip\noindent
% \begin{CenterExample}
%   \newgray{gray75}{0.75}\newgray{gray85}{0.85}\newgray{gray95}{0.95}
%   \begin{pspicture}(-3.5,-2.5)(-3,5)
%    \psset{viewpoint=1 1.5 0.5}
%    \IIIDKOSystem{5}
%    \ThreeDput(0,0,0){\psframe*[linecolor=gray80](4,4)}
%    \ThreeDput(2,2,0){\huge\psrotatedown{xy-plane}}
%    \ThreeDput[normal=0 -1 0](0,0,0){\psframe*[linecolor=gray85](4,4)}
%    \ThreeDput[normal=0 1 0](2,0,2){\huge xz-plane}
%    \ThreeDput[normal=1 0 0](0,0,0){\psframe*[linecolor=gray90](4,4)}
%    \ThreeDput[normal=1 0 0](0,2,2){\huge yz-plane}
%    \ThreeDput[normal=0 0 1](0,0,0){% xy-plane
%     \psline{->}(0,0)(0,5)\psline{->}(0,0)(5,0)}
%    \ThreeDput[normal=0 1 0](0,0,0){\psline{->}(0,0)(0,5)}
%   \end{pspicture}
% \end{CenterExample}
% 
% 
% Without a assignment through the normal vector the above example could not have
% been created that easily. Let us step through the code for a better
% understanding.
% 
% \begin{description}
% \item[\cs{psset\{viewpoint=1 1.5 0.5\}}:] the
% 	\verb+viewpoint+ is set to the point $P(1,1.5,0.5)$.
% \item[\cs{IIIDKOSystem\{5\}}:] first the coordinate system with the grid is
% 	drawn, so that axes and grid remain visible on the areas, which makes a
% 	better optical allocation possible.
% \item[\cs{ThreeDput(0,0,0)\{\textbackslash psframe*[linecolor=gray80](4,4)\}}:]
% 	puts a square with a side length of four into the origin of ordinates with
% 	the lower left edge. Since no normal vector is specified here, the default
% 	value $\vec{n}=(0,0,1)$ is taken, wherewith the area is positioned in the
% 	first quadrant of the $xy$ plane.
% \item[\cs{ThreeDput(2,2,0)\{\textbackslash huge\textbackslash psrotatedown\{xy-plane\}\}}:]
% 	puts the text rotated by $180$° centric to the point $(2,2,0)$ in the
% 	\verb+xy-plane+.
% \item[\cs{ThreeDput[normal=0 -1 0](0,0,0)\{\textbackslash psframe*[linecolor=gray85](4,4)\}}:]
% 	puts a square with a side length of four in the origin of ordinates with the
% 	lower left edge. Since the normal vector is the ``negative''{} $y$ axis, the
% 	square is positioned in the first quadrant of the $xz$ plane. With
% 	\verb+normal=0 1 0+ it would have been the second quadrant.
% \item[\cs{ThreeDput[normal=0 1 0](2,0,2)\{\textbackslash huge xz-plane\}}:]
% 	puts the text in the \verb+xy-plane+ centric to the point $(2,0,2)$. Because
% 	the $xz$ plane is regarded from the back from the viewpoint, the normal
% 	vector of the area has to be reversed, otherwise the text would be read from
% 	the ``back''{}.
% \item[\cs{ThreeDput[normal=1 0 0](0,0,0)\{\textbackslash psframe*[linecolor=gray90](4,4)\}}:]
% 	puts a square with a side length of four in the origin of ordinates with the
% 	lower left edge. The unit vector is the ``positive''{} $x$ axis, therefore
% 	the square is positioned in the first quadrant of the $yz$ plane.
% \item[\cs{ThreeDput[normal=1 0 0](0,2,2)\{\textbackslash huge yz-plane\}}:]
% 	puts the text in the \verb+yz-plane+ centric to the point $(0,2,2)$. Since
% 	the text is written at the ``positive''{} side of the area, the normal
% 	vector stays the same.
% \item[\cs{ThreeDput[normal=0 0 1](0,0,0)}:] the coordinate axes have been
% 	overwritten by the three areas and are redrawn now, first the $xy$ axes.
% \item[\cs{ThreeDput[normal=0 1 0](0,0,0)}:] and now the $z$ axis is drawn.
% \end{description}
% 
% \subsubsection{\texttt{embedangle}}\label{subsubsec:pst3d:embedangle}
% With \verb+viewangle+ a rotation perpendicular to the plane
% of the viewer could be made. With \verb+embedangle+ a rotation perpendicular to
% the normal vector can be made. The counting of the angles is made in the
% mathematical sense, counterclockwise.
% 
% \medskip
% \begin{CenterExample}
%   \newgray{gray75}{0.75}\newgray{gray85}{0.85}\newgray{gray95}{0.95}
%   \def\tBlack#1#2{% 
%    \psframe[style=#2](2,2) 
%    \rput(1,1){\textcolor{#1}{\textbf{PSTricks}}}} 
%   \newpsstyle{SolidYellow}{fillstyle=solid,fillcolor=yellow} 
%   \newpsstyle{TransparencyRed}{fillstyle=vlines,hatchcolor=red,
%     hatchwidth=0.1\pslinewidth,hatchsep=1\pslinewidth} 
%   \newpsstyle{TransparencyBlue}{fillstyle=vlines,hatchcolor=gray75,%
%     hatchwidth=0.1\pslinewidth,hatchsep=1\pslinewidth}
%   \begin{pspicture}(-1.2,-1.75)(4.8,3.7)
%     \ThreeDput{\psgrid[subgriddiv=0](-2,0)(4,3)}
%     \ThreeDput(-1,0,0){\tBlack{black}{SolidYellow}} 
%     \ThreeDput(2,0,0){\tBlack{black}{SolidYellow}} 
%     \ThreeDput[embedangle=50](-1,0,0){\tBlack{gray}{TransparencyRed}} 
%     \ThreeDput[embedangle=50](2,0,0){\tBlack{gray}{TransparencyBlue}}
%     \ThreeDput[normal=0 1 0](-1,0,0){\psline[linewidth=0.1,linecolor=red](0,4)} 
%     \ThreeDput[normal=0 1 0](2,0,0){\psline[linewidth=0.1,linecolor=blue](0,4)}
%   \end{pspicture}
%   \psset{viewpoint=1 1 100}
%   \begin{pspicture}(-2.5,-4.5)(2.8,1.7)
%    \ThreeDput{\psgrid[subgriddiv=0](-2,0)(4,3)}
%    \ThreeDput(-1,0,0){\tBlack{black}{SolidYellow}} 
%    \ThreeDput(2,0,0){\tBlack{black}{SolidYellow}} 
%    \ThreeDput[embedangle=50](-1,0,0){\tBlack{gray}{TransparencyRed}} 
%    \ThreeDput[embedangle=50](2,0,0){\tBlack{gray}{TransparencyBlue}}
%    \ThreeDput[normal=0 1 0](-1,0,0){\psline[linewidth=0.1,linecolor=red](0,4)} 
%    \ThreeDput[normal=0 1 0](2,0,0){\psline[linewidth=0.1,linecolor=blue](0,4)}
%   \end{pspicture}
% \end{CenterExample}
% 
%
% \StopEventually{}
%
% ^^A .................... End of the documentation part ....................
%
% \section{Driver file}
%
%   The next bit of code contains the documentation driver file for \TeX{},
% i.e., the file that will produce the documentation you are currently
% reading. It will be extracted from this file by the \texttt{docstrip}
% program.
%
%
% \section{\PstIIIDPackage{} \LaTeX{} wrapper}
%
%    \begin{macrocode}
%<*latex-wrapper>
%%
\RequirePackage{pstricks}
\ProvidesPackage{pst-3d}[2005/09/02 package wrapper for 
  pst-3d.tex (hv)]
\input{pst-3d.tex}
\ProvidesFile{pst-3d.tex}
  [\filedate\space v\fileversion\space `PST-3d' (tvz)]
%</latex-wrapper>
%    \end{macrocode}
%
% \section{\PstIIIDPackage{} code}
%
%<*pst-3d>
%
%   \verb+pst-3d+ Require the basic \verb+pstricks+ package and for the key value
% operations the \verb+pst-xkey+ package.
%
%    \begin{macrocode}
\ifx\PSTricksLoaded\endinput\else\input pstricks.tex\fi
\ifx\PSTXKeyLoaded\endinput\else\input pst-xkey \fi % (hv 2005-09-03)
%    \end{macrocode}
%
%   Catcodes changes.
%
%    \begin{macrocode}
\edef\PstAtCode{\the\catcode`\@}
\catcode`\@=11\relax
%    \end{macrocode}
%
%   Add the key-family name to the xkeyval package
%
%    \begin{macrocode}
\pst@addfams{pst-3d}
%    \end{macrocode}
%
\def\fileversion{1.00}
\def\filedate{2005/09/03}
\message{`PST-3d' v\fileversion, \filedate\space (tvz)}
%
%   Mark the package as loaded
%
%    \begin{macrocode}
\csname PSTthreeDLoaded\endcsname
\let\PSTthreeDLoaded\endinput
%    \end{macrocode}
%
% \subsection{Basic 3D transformations}
%
% \begin{macro}{\tx@SetMatrixThreeD}
%    Viewpoint for 3D coordinates is given by three angles: $\alpha$, $\beta$ and
%    $\gamma$. $\alpha$ and $\beta$ determine the direction from which one is
%    looking. $\gamma$ then determines the orientation of the observing.
%    When $\alpha$, $\beta$ and $\gamma$ are all zero, the observer is looking
%    from the negative part of the $y$-axis, and sees the $xz$-plane the way in
%    2D one sees the $xy$ plan. Hence, to convert the 3D coordinates to their 2D
%    project, $\langle x, y, z\rangle$ map to $\langle x, z\rangle$.
%    When the orientation is different, we rotate the coordinates, and then
%    perform the same projection.
%    We move up to latitude $\beta$, over to longitude $\alpha$, and then rotate
%    by $\gamma$. This means that we first rotate around $y$-axis by $\gamma$,
%    then around $x$-axis by $\beta$, and the around $z$-axis by $\alpha$.
%
%    Here are the matrices:
%    \begin{eqnarray*}
%    R_z(\alpha) & = & \left[
%     \begin{array}{ccc}
%       \cos \alpha & -\sin \alpha & 0 \\
%       \sin \alpha & cos \alpha   & 0 \\
%       0           & 0            & 1
%     \end{array} \right] \\
%   R_x(\beta) & = & \left[
%     \begin{array}{ccc}
%       1           & 0            & 0 \\
%       0           & \cos \beta   & \sin \beta \\
%       0           & -\sin \beta  & \cos \beta
%     \end{array} \right] \\
%   R_y(\gamma) & = & \left[
%     \begin{array}{ccc}
%       \cos \gamma & 0            & -\sin \gamma \\
%       0           & 1            & 0 \\
%       \sin \gamma & 0            & \cos \gamma
%     \end{array} \right]
% \end{eqnarray*}
%
% The rotation of a coordinate is then performed by the matrix $R_z(\alpha)
% R_x(\beta) R_y(\gamma)$. The first and third columns of the matrix are the
% basis vectors of the plan upon which the 3D coordinates are project (the old
% basis vectors were $\langle 1, 0, 0\rangle$ and $\langle 0, 0, 1\rangle$; rotating these
% gives the first and third columns of the matrix).
%
% These new base vectors are:
% \begin{eqnarray*}
%   \tilde{x} & = & \left[
%     \begin{array}{c}
%       \cos\alpha \cos\gamma - \sin\beta \sin\alpha \sin\gamma \\
%       \sin\alpha \cos\gamma + \sin\beta \cos\alpha \sin\gamma \\
%       \cos\beta \sin\gamma
%     \end{array} \right] \\
%   \tilde{z} & = & \left[
%     \begin{array}{c}
%       -\cos\alpha \sin\gamma - \sin\beta \sin\alpha \cos\gamma \\
%       -\sin\alpha \sin\gamma + \sin\beta \cos\alpha \cos\gamma \\
%       \cos\beta \cos\gamma
%     \end{array} \right]
% \end{eqnarray*}
%
% Rather than specifying the angles $\alpha$ and $\beta$, the user gives a
% vector indicating where the viewpoint is. This new viewpoint is the rotation
% o the old viewpoint. The old viewpoint is $\langle 0, -1, 0\rangle$, and so the new
% viewpoint is
% \[
%  R_z(\alpha) R_x(\beta) \left[ \begin{array}{c} 0\\-1\\0 \end{array} \right]
%  \, = \,
%  \left[ \begin{array}{c}
%    \cos\beta \sin\alpha \\
%    -\cos\beta \cos\alpha \\
%    \sin\beta
%  \end{array} \right]
%  \, = \,
%  \left[ \begin{array}{c} v_1 \\ v_2 \\ v_3 \end{array} \right]
% \]
% Therefore,
% \begin{eqnarray*}
%   \alpha & = & \arc\tan (v_1 / -v_2) \\
%   \beta & = & \arc\tan (v_3 \sin\alpha / v_1)
% \end{eqnarray*}
% Unless $p_1=p_2=0$, in which case $\alpha=0$ and $\beta=\sign(p_3)90$, or
% $p_1=p_3=0$, in which case $\beta=0$.
%
% The syntax of \verb+SetMatrixThreeD+ is
% \[
%   v_1\ v_2\ v_3\ \gamma\ \mathrm{SetMatrixThreeD}
% \]
% \verb+SetMatrixThreeD+ first computes
% \[
%   \begin{array}{ll}
%     a=\sin\alpha & b=\cos\alpha\\
%     c=\sin\beta  & d=\cos\beta\\
%     e=\sin\gamma & f=\cos\gamma
%   \end{array}
% \]
% and then sets \verb+Matrix3D+ to \verb+[+$\tilde{x}$ $\tilde{z}$\verb+]+.
%
%    \begin{macrocode}
\pst@def{SetMatrixThreeD}<%
  dup sin /e ED cos /f ED
  /p3 ED /p2 ED /p1 ED
  p1 0 eq
  { /a 0 def /b p2 0 le { 1 } { -1 } ifelse def
    p3 p2 abs
  }
  { p2 0 eq
    { /a p1 0 lt { -1 } { 1 } ifelse def /b 0 def
      p3 p1 abs
    }
    { p1 dup mul p2 dup mul add sqrt dup
      p1 exch div /a ED
      p2 exch div neg /b ED
      p3 p1 a div
    }
    ifelse
  }
  ifelse
  atan dup sin /c ED cos /d ED
  /Matrix3D
  [
    b f mul c a mul e mul sub
    a f mul c b mul e mul add
    d e mul
    b e mul neg c a mul f mul sub
    a e mul neg c b mul f mul add
    d f mul
  ] def>
%    \end{macrocode}
% \end{macro}
%
%  \begin{macro}{\tx@ProjThreeD}
%  The syntax of the macro \verb+tx@ProjThreeD+ is
% \[
%   x\ y\ z\ \mathrm{ProjThreeD}\ x'\ y'
% \]
% where $x'=\langle x, y, z\rangle \cdot \tilde{x}$ and $y'=\langle x, y, z\rangle \cdot
% \tilde{z}$.
%
%    \begin{macrocode}
\pst@def{ProjThreeD}<%
  /z ED /y ED /x ED
  Matrix3D aload pop
  z mul exch y mul add exch x mul add
  4 1 roll
  z mul exch y mul add exch x mul add
  exch>
%    \end{macrocode}
%
% To embed 2D $\langle x, y\rangle$ coordinates in 3D, the user specifies the normal
% vector and an angle. If we decompose this normal vector into an angle, as
% when converting 3D coordinates to 2D coordinates, and let $\hat\alpha$,
% $\hat\beta$ and $\hat\gamma$ be the three angles, then when these angles are
% all zero the coordinate $\langle x, y\rangle$ gets mapped to $\langle x, 0, y\rangle$, and
% otherwise $\langle x, y\rangle$ gets mapped to
% \[
%   R_z(\hat\alpha) R_x(\hat\beta) R_y(\hat\gamma)
%   \left[ \begin{array}{c} x \\ 0 \\ y \end{array} \right]
%  \, = \,
%   \left[ \begin{array}{c}
%    \hat{x}_1 x + \hat{z}_1 y\\
%    \hat{x}_2 x + \hat{z}_2 y\\
%    \hat{x}_3 x + \hat{z}_3 y
%   \end{array} \right]
% \]
% where $\hat{x}$ and $\hat{z}$ are the first and third columns of $R_z(\hat\alpha) R_x(\hat\beta) R_y(\hat\gamma)$.
%
% Now add on a 3D-origin:
% \[
%   \left[ \begin{array}{c}
%    \hat{x}_1 x + \hat{z}_1 y + x_0\\
%    \hat{x}_2 x + \hat{z}_2 y + y_0\\
%    \hat{x}_3 x + \hat{z}_3 y + z_0
%   \end{array} \right]
% \]
%
% Now when we project back onto 2D coordinates, we get
% \begin{align*}
%   x' & =  \tilde{x}_1(\hat{x}_1 x + \hat{z}_1 y + x_0) +
%            \tilde{x}_2(\hat{x}_2 x + \hat{z}_2 y + y_0) +
%            \tilde{x}_3(\hat{x}_3 x + \hat{z}_3 y + z_0)\\
%   & = 
%   (\tilde{x}_1\hat{x}_1 + \tilde{x}_2\hat{x}_2 + \tilde{x}_3\hat{x}_3) x
%   + (\tilde{x}_1\hat{z}_1 + \tilde{x}_2\hat{z}_2 + \tilde{x}_3\hat{z}_3) y
%   + \tilde{x}_1 x_0 + \tilde{x}_2 y_0 + \tilde{z}_3 z_0\\
%   y' & =  \tilde{z}_1(\hat{x}_1 x + \hat{z}_1 y + x_0) +
%            \tilde{z}_2(\hat{x}_2 x + \hat{z}_2 y + y_0) +
%            \tilde{z}_3(\hat{x}_3 x + \hat{z}_3 y + z_0)\\
%   & = 
%   (\tilde{z}_1\hat{x}_1 + \tilde{z}_2\hat{x}_2 + \tilde{z}_3\hat{x}_3) x
%   + (\tilde{z}_1\hat{z}_1 + \tilde{z}_2\hat{z}_2 + \tilde{z}_3\hat{z}_3) y
%   + \tilde{z}_1 x_0 + \tilde{z}_2 y_0 + \tilde{z}_3 z_0
% \end{align*}
% Hence, the transformation matrix is:
% \[
%   \left[ \begin{array}{c}
%   \tilde{x}_1\hat{x}_1 + \tilde{x}_2\hat{x}_2 + \tilde{x}_3\hat{x}_3) \\
%   \tilde{z}_1\hat{x}_1 + \tilde{z}_2\hat{x}_2 + \tilde{z}_3\hat{x}_3) \\
%   \tilde{x}_1\hat{z}_1 + \tilde{x}_2\hat{z}_2 + \tilde{x}_3\hat{z}_3) \\
%   \tilde{z}_1\hat{z}_1 + \tilde{z}_2\hat{z}_2 + \tilde{z}_3\hat{z}_3) \\
%   \tilde{x}_1 x_0 + \tilde{x}_2 y_0 + \tilde{z}_3 z_0 \\
%   \tilde{z}_1 x_0 + \tilde{z}_2 y_0 + \tilde{z}_3 z_0
%   \end{array} \right]
% \]
% \end{macro}
% \begin{macro}{\tx@SetMatrixEmbed}
%  The syntax of \verb+SetMatrixEmbed+ is
%   \begin{align*}
%   x_0\ y_0\ z_0\ \hat{v_1}\ \hat{v_2}\ \hat{v_3}\ \hat{\gamma}\\
%   v_1\ v_2\ v_3\ \gamma\ \mathrm{setMatrixEmbed}
%   \end{align*}
%   \verb+SetMatrixEmbed+ first sets \verb+<x1 x2 x3 y1 y2 y3>+ to the basis vectors for
%   the viewpoint projection (the tilde stuff above). Then it sets \verb+Matrix3D+ to
%   the basis vectors for the embedded plane. Finally, it sets the
%   transformation matrix to the matrix given above.
%
%    \begin{macrocode}
\pst@def{SetMatrixEmbed}<%
  \tx@SetMatrixThreeD
  Matrix3D aload pop
  /z3 ED /z2 ED /z1 ED /x3 ED /x2 ED /x1 ED
  \tx@SetMatrixThreeD
  [
  Matrix3D aload pop
  z3 mul exch z2 mul add exch z1 mul add 4 1 roll
  z3 mul exch z2 mul add exch z1 mul add
  Matrix3D aload pop
  x3 mul exch x2 mul add exch x1 mul add 4 1 roll
  x3 mul exch x2 mul add exch x1 mul add
  3 -1 roll 3 -1 roll 4 -1 roll 8 -3 roll 3 copy
  x3 mul exch x2 mul add exch x1 mul add 4 1 roll
  z3 mul exch z2 mul add exch z1 mul add
  ]
  concat>
%    \end{macrocode}
% \end{macro}
%
% \subsection{Parameter}
%
% \begin{macro}{\psk@viewpoint}
% First we need a macro \verb+\pssetzlength+ for the third coordinate. It is adopted from
% the definition of the y-axes:
%    \begin{macrocode}
\let\pssetzlength\pssetylength
%    \end{macrocode}
% The viewpoint is set by its three coordinates $(x\ y\ z)$. It is preset
% to $x=1$, $y=-1$ and $z=1$.
%    \begin{macrocode}
\define@key[psset]{pst-3d}{viewpoint}{%
  \pst@expandafter\psset@@viewpoint#1 {} {} {} \@nil
  \let\psk@viewpoint\pst@tempg}
\def\psset@@viewpoint#1 #2 #3 #4\@nil{%
  \begingroup
    \pssetxlength\pst@dima{#1}%
    \pssetylength\pst@dimb{#2}%
    \pssetzlength\pst@dimc{#3}%
    \xdef\pst@tempg{%
      \pst@number\pst@dima \pst@number\pst@dimb \pst@number\pst@dimc}%
  \endgroup}
\psset[pst-3d]{viewpoint=1 -1 1}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\psk@viewangle}
%    \begin{macrocode}
\define@key[psset]{pst-3d}{viewangle}{%
  \pst@getangle{#1}\psk@viewangle}
\psset[pst-3d]{viewangle=0}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\psk@normal}
%    \begin{macrocode}
\define@key[psset]{pst-3d}{normal}{%
  \pst@expandafter\psset@@viewpoint#1 {} {} {} \@nil
  \let\psk@normal\pst@tempg}
\psset[pst-3d]{normal=0 0 1}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\psk@embedangle}
%    \begin{macrocode}
\define@key[psset]{pst-3d}{embedangle}{%
  \pst@getangle{#1}\psk@embedangle}
\psset[pst-3d]{embedangle=0}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\psTshadowsize}
%    \begin{macrocode}
\define@key[psset]{pst-3d}{Tshadowsize}{%
  \pst@checknum{#1}\psTshadowsize}
\psset[pst-3d]{Tshadowsize=1}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\psk@Tshadowangle}
%    \begin{macrocode}
\define@key[psset]{pst-3d}{Tshadowangle}{%
  \pst@getangle{#1}\psk@Tshadowangle}
\psset[pst-3d]{Tshadowangle=60}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\psTshadowcolor}
%    \begin{macrocode}
\define@key[psset]{pst-3d}{Tshadowcolor}{%
  \pst@getcolor{#1}\psTshadowcolor} 
\psset[pst-3d]{Tshadowcolor=lightgray}
%    \end{macrocode}
% \end{macro}
%

% \subsection{\texttt{PostScript} code}
%
% \begin{macro}{\tx@TMSave}
%    \begin{macrocode}
\pst@def{TMSave}<%
  tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if
  /TMatrix [ TMatrix CM ] cvx def>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@TMRestore}
%    \begin{macrocode}
\pst@def{TMRestore}<%
  CP /TMatrix [ TMatrix setmatrix ] cvx def moveto>
%
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\tx@TMChange}
% The syntax:
%  \begin{verbatim}
%   {<Proc for modifying tm>} TMChange
%  \end{verbatim}
%    \begin{macrocode}
\pst@def{TMChange}<%
  \tx@TMSave
  /cp [ currentpoint ] cvx def % ??? Check this later.
  CM
%    \end{macrocode}
%
% Set ''standard`` coordinate system , with \verb+pt+ units and origin at currentpoint.
% This let's us rotate, or whatever, around \TeX's current point, without
% having to worry about strange coordinate systems that the dvi-to-ps
% driver might be using.
%    \begin{macrocode}
  CP T \tx@STV
%    \end{macrocode}
% Let M = old matrix (on stack), and M' equal current matrix. Then
% go from M' to M by applying  M Inv(M').
%    \begin{macrocode}
  CM matrix invertmatrix    % Inv(M')
  matrix concatmatrix       % M Inv(M')
%    \end{macrocode}
% Now modify transformation matrix:
%    \begin{macrocode}
  exch exec
%    \end{macrocode}
% Now apply M Inv(M')
%    \begin{macrocode}
  concat cp moveto>
%    \end{macrocode}
% \end{macro}
%
% \subsection{Three dimensional operations}
%
% There is only one macro which collects all the basic operations for three dimansional representation
% of a text or graphic object.
%
% \begin{macro}{\ThreeDput}
%    \begin{macrocode}
\def\ThreeDput{\def\pst@par{}\pst@object{ThreeDput}}
\def\ThreeDput@i{\@ifnextchar({\ThreeDput@ii}{\ThreeDput@ii(\z@,\z@,\z@)}}
\def\ThreeDput@ii(#1,#2,#3){%
  \pst@killglue\pst@makebox{\ThreeDput@iii(#1,#2,#3)}}
\def\ThreeDput@iii(#1,#2,#3){%
  \begingroup
    \use@par
    \if@star\pst@starbox\fi
    \pst@makesmall\pst@hbox
    \pssetxlength\pst@dima{#1}%
    \pssetylength\pst@dimb{#2}%
    \pssetzlength\pst@dimc{#3}%
    \leavevmode
    \hbox{%
      \pst@Verb{%
        { \pst@number\pst@dima
          \pst@number\pst@dimb
          \pst@number\pst@dimc
          \psk@normal
          \psk@embedangle
          \psk@viewpoint
          \psk@viewangle
          \tx@SetMatrixEmbed
        } \tx@TMChange}%
    \box\pst@hbox
    \pst@Verb{\tx@TMRestore}}%
  \endgroup
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{Arithmetic\label{Arithmetic}}
%
% \begin{macro}{\pst@sinandcos}
% Syntax:
% \begin{LVerbatim}
%   \pst@sinandcos{<dim>}{<int>}
% \end{LVerbatim}
% <dim>, in "sp" units, should equal 100,000 times the angle, in degrees
% between 0 and 90. <int> should equal the angle's quadrant (0, 1, 2 or 3).
% \verb+\pst@dimg+ is set to $\sin(\theta)$ and \verb+\pst@dimh+ is set to
% $\cos(\theta)$ (in pt's).
%
% The algorithms uses the usual McLaurin expansion.
%    \begin{macrocode}
\def\pst@sinandcos#1{%
  \begingroup
    \pst@dima=#1\relax
    \pst@dima=.366022\pst@dima     %Now 1pt=1/32rad
    \pst@dimb=\pst@dima   % dimb->32sin(angle) in pts
    \pst@dimc=32\p@       % dimc->32cos(angle) in pts
    \pst@dimtonum\pst@dima\pst@tempa
    \pst@cntb=\tw@
    \pst@cntc=-\@ne
    \pst@cntg=32
    \loop
    \ifnum\pst@dima>\@cclvi % 256
      \pst@dima=\pst@tempa\pst@dima
      \divide\pst@dima\pst@cntg
      \divide\pst@dima\pst@cntb
      \ifodd\pst@cntb
        \advance\pst@dimb \pst@cntc\pst@dima
        \pst@cntc=-\pst@cntc
      \else
        \advance\pst@dimc by \pst@cntc\pst@dima
      \fi
      \advance\pst@cntb\@ne
    \repeat
    \divide\pst@dimb\pst@cntg
    \divide\pst@dimc\pst@cntg
    \global\pst@dimg\pst@dimb
    \global\pst@dimh\pst@dimc
  \endgroup}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\pst@getsinandcos}
% \verb+\pst@getsinandcos+ normalizes the angle to be in the first quadrant, sets
% \verb+\pst@quadrant+ to 0 for the first quadrant, 1 for the second, 2 for the
% third, and 3 for the fourth, invokes \verb+\pst@sinandcos+, and sets \verb+\pst@sin+
% to the sine and \verb+\pst@cos+ to the cosine.
%    \begin{macrocode}
\def\pst@getsinandcos#1{%
  \pst@dimg=100000sp
  \pst@dimg=#1\pst@dimg
  \pst@dimh=36000000sp
  \pst@cntg=0
  \loop
  \ifnum\pst@dimg<\z@
    \advance\pst@dimg\pst@dimh
  \repeat
  \loop
  \ifnum\pst@dimg>\pst@dimh
    \advance\pst@dimg-\pst@dimh
  \repeat
  \pst@dimh=9000000sp
  \def\pst@tempg{%
    \ifnum\pst@dimg<\pst@dimh\else
      \advance\pst@dimg-\pst@dimh
      \advance\pst@cntg\@ne
      \ifnum\pst@cntg>\thr@@ \advance\pst@cntg-4 \fi
      \expandafter\pst@tempg
    \fi}%
  \pst@tempg
  \chardef\pst@quadrant\pst@cntg
  \ifdim\pst@dimg=\z@
    \def\pst@sin{0}%
    \def\pst@cos{1}%
  \else
    \pst@sinandcos\pst@dimg
    \pst@dimtonum\pst@dimg\pst@sin
    \pst@dimtonum\pst@dimh\pst@cos
  \fi%
}
%    \end{macrocode}
% \end{macro}
%
% \subsection{Tilting}
%
% \begin{macro}{\pstilt}
%    \begin{macrocode}
\def\pstilt#1{\pst@makebox{\pstilt@{#1}}}
\def\pstilt@#1{%
  \begingroup
    \leavevmode
    \pst@getsinandcos{#1}%
    \hbox{%
      \ifcase\pst@quadrant
        \kern\pst@cos\dp\pst@hbox
        \pst@dima=\pst@cos\ht\pst@hbox
        \ht\pst@hbox=\pst@sin\ht\pst@hbox
        \dp\pst@hbox=\pst@sin\dp\pst@hbox
      \or
        \kern\pst@sin\ht\pst@hbox
        \pst@dima=\pst@sin\dp\pst@hbox
        \ht\pst@hbox=\pst@cos\ht\pst@hbox
        \dp\pst@hbox=\pst@cos\dp\pst@hbox
      \or
        \kern\pst@cos\ht\pst@hbox
        \pst@dima=\pst@sin\dp\pst@hbox
        \pst@dimg=\pst@sin\ht\pst@hbox
        \ht\pst@hbox=\pst@sin\dp\pst@hbox
        \dp\pst@hbox=\pst@dimg
      \or
        \kern\pst@sin\dp\pst@hbox
        \pst@dima=\pst@sin\ht\pst@hbox
        \pst@dimg=\pst@cos\ht\pst@hbox
        \ht\pst@hbox=\pst@cos\dp\pst@hbox
        \dp\pst@hbox=\pst@dimg
      \fi
      \pst@Verb{%
        { [ 1 0
            \pst@cos\space \ifnum\pst@quadrant>\@ne neg \fi
            \pst@sin\space
            \ifnum\pst@quadrant>\z@\ifnum\pst@quadrant<\thr@@ neg \fi\fi
            \ifodd\pst@quadrant exch \fi
            0 0
          ] concat
        } \tx@TMChange}%
      \box\pst@hbox
      \pst@Verb{\tx@TMRestore}%
      \kern\pst@dima}%
  \endgroup}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\psTilt}
%    \begin{macrocode}
\def\psTilt#1{\pst@makebox{\psTilt@{#1}}}
\def\psTilt@#1{%
  \begingroup
    \leavevmode
    \pst@getsinandcos{#1}%
    \hbox{%
      \ifodd\pst@quadrant
        \pst@@divide{\dp\pst@hbox}{\pst@cos\p@}%
        \ifnum\pst@quadrant=\thr@@\kern\else\pst@dima=\fi\pst@sin\pst@dimg
        \pst@@divide{\ht\pst@hbox}{\pst@cos\p@}%
        \ifnum\pst@quadrant=\@ne\kern\else\pst@dima=\fi\pst@sin\pst@dimg
      \else
        \ifdim\pst@sin\p@=\z@
          \@pstrickserr{\string\psTilt\space angle cannot be 0 or 180}\@ehpa
          \def\pst@sin{.7071}%
          \def\pst@cos{.7071}%
        \fi
        \pst@@divide{\dp\pst@hbox}{\pst@sin\p@}%
        \ifnum\pst@quadrant=\z@\kern\else\pst@dima=\fi\pst@cos\pst@dimg
        \pst@@divide{\ht\pst@hbox}{\pst@sin\p@}%
        \ifnum\pst@quadrant=\tw@\kern\else\pst@dima=\fi\pst@cos\pst@dimg
      \fi
      \ifnum\pst@quadrant>\@ne
        \pst@dimg=\ht\pst@hbox
        \ht\pst@hbox=\dp\pst@hbox
        \dp\pst@hbox=\pst@dimg
      \fi
      \pst@Verb{%
        { [ 1 0
            \pst@cos\space \pst@sin\space
            \ifodd\pst@quadrant exch \fi
            \tx@Div
            \ifnum\pst@quadrant>\z@\ifnum\pst@quadrant<\thr@@ neg \fi\fi
            \ifnum\pst@quadrant>\@ne -1 \else 1 \fi
            0 0
          ] concat
        } \tx@TMChange}%
      \box\pst@hbox
      \pst@Verb{\tx@TMRestore}%
      \kern\pst@dima}%
  \endgroup}
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{Shadow}
%
% \begin{macro}{\psshadow}
%    \begin{macrocode}
\def\psshadow{\pst@object{psshadow}}
\def\psshadow@i{\pst@makebox{\psshadow@ii}}
\def\psshadow@ii{%
  \begingroup
    \use@par
    \leavevmode
    \pst@getsinandcos{\psk@Tshadowangle}%
    \hbox{%
      \lower\dp\pst@hbox\hbox{%
        \pst@Verb{%
          { [ 1 0
              \pst@cos\space \psTshadowsize mul
              \ifnum\pst@quadrant>\@ne neg \fi
              \pst@sin\space \psTshadowsize mul
              \ifnum\pst@quadrant>\z@\ifnum\pst@quadrant<\thr@@ neg \fi\fi
              \ifodd\pst@quadrant exch \fi
              0 0
            ] concat
          } \tx@TMChange}}%
      \hbox to\z@{%   patch 2 (hv), to get it run with xcolor _and_ TeX
       \pst@Verb{ gsave \pst@usecolor\psTshadowcolor}%
       \copy\pst@hbox
       \pst@Verb{ grestore}\hss}%
%      \hbox to\z@{{\@nameuse{\psTshadowcolor}\copy\pst@hbox\hss}}%
      \pst@Verb{\tx@TMRestore}%
      \box\pst@hbox}%
  \endgroup}
%    \end{macrocode}
% \end{macro}
%
% \subsection{Closing}
%
%   Catcodes restoration.
%
%    \begin{macrocode}
\catcode`\@=\PstAtCode\relax
%    \end{macrocode}
%
%</pst-3d>
%
\endinput
%%
%% END pst-3d.tex
