%% BEGIN pstricks.doc
\def\fileversion{0.93a}
\def\filedate{93/03/12}
% File `pstricks.doc': PostScript macros for Generic TeX.
%% See the PSTricks read-me file and the User's Guide for documentation.
%% COPYRIGHT 1993, by Timothy Van Zandt, tvz@Princeton.EDU
%% Copying of part or all of any file in the pstricks.tex package
%% is allowed under the following conditions only:
%% (1) You may freely distribute unchanged copies of the files. Please
%%     include the documentation when you do so.
%% (2) You may modify a renamed copy of any file, but only for personal
%%     use or use within an organization.
%% (3) You may copy fragments from the files, for personal use or for use
%%     in a macro package for distribution, as long as credit is given
%%     where credit is due.
%% You are NOT ALLOWED to take money for the distribution or use of
%% these files or modified versions or fragments thereof, except for
%% a nominal charge for copying etc.
% **************************************************************************
% This is `pstricks.doc', which contains the documented code for the PSTricks
% package. See the PSTricks read-me file for information on how to
% use this file.
% **************************************************************************
% \EndDocPreamble
% \CheckSum{5048}
% \CharacterTable
%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%   Digits        \0\1\2\3\4\5\6\7\8\9
%   Exclamation   \!     Double quote  \"     Hash (number) \#
%   Dollar        \$     Percent       \%     Ampersand     \&
%   Acute accent  \'     Left paren    \(     Right paren   \)
%   Asterisk      \*     Plus          \+     Comma         \,
%   Minus         \-     Point         \.     Solidus       \/
%   Colon         \:     Semicolon     \;     Less than     \<
%   Equals        \=     Greater than  \>     Question mark \?
%   Commercial at \@     Left bracket  \[     Backslash     \\
%   Right bracket \]     Circumflex    \^     Underscore    \_
%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%   Right brace   \}     Tilde         \~}
% \section{Disclaimers, Guidelines and Other Comments}
% \paragraph*{Disclaimer}
% These macros are extensive and were written hurriedly. Only modest attempts
% have been made to clean up and optimize the code. The internals may change
% substantially until version 1.0 comes up.
% \paragraph*{PostScript Guidelines}
% The following guidelines were followed for macros using PostScript
% "\special"'s:
% \begin{enumerate}
% \item Almost no "gsave" and "grestore" commands are used (reducing the
% likelihood of conflicts with dvi-to-ps drivers or an unmatched "gsave" or
% "grestore" ending up on a page).
% \item Most end-user macros (those without "@") have error-checking so that
% bad arguments or other misuse will not generate PostScript errors.
% \end{enumerate}
% \iffalse
% \paragraph*{Prefixes}
% (This list is not complete.) Here are the conventions on prefixes, such as
% the "pst" is "\pst@Verb":
% \begin{center}
% \begin{tabular}{ll}
% {\em Prefix} & {\em Use}\\
% "pst" & This and that.\\
% "psk" & Graphics parameters ("k"={\em key}).\\
% "psset" & Macros that set graphics parameters.\\
% "psls" & Line styles.\\
% "psfs" & Fill styles.\\
% "psas" & Arrow styles.\\
% "pscs" & Custom styles.\\
% \end{tabular}
% \end{center}
% \fi
% \paragraph*{Macros}
% A ``macro'' means any command sequence that is documented in this with a
% heading entry. Macros with "@" are internal, and others are part of the user
% interface. Commands that are not in the heading preceding their definition
% are internal commands of a macro, and are not meant to be used directly by
% other macros.
% \paragraph*{Local and global variables}
% There are various classes of scratch registers and commands:
% \begin{description}
% \item[Global] These can be changed using "\global", etc.
% \begin{LVerbatim}
%   \pst@tempg
%   \pst@temph
%   \pst@dimg
%   \pst@dimh
%   \pst@cntg
%   \pst@cnth
%   \pst@boxg
% \end{LVerbatim}
% \item[Local-I] These cannot be changed with "\global", but otherwise there
% are no restrictions.
% \begin{LVerbatim}
%   \next
%   \@tempa
% \end{LVerbatim}
% \item[Local-I]
% Changes to these must be local to the macro in which they occur (be
% grouping).
% \begin{LVerbatim}
%   \pst@tempa
%   \pst@tempb
%   \pst@tempc
%   \pst@tempd
% \end{LVerbatim}
% \item[Local-II] Changes to these must be local to the macro in which they
% occur, and it must be possible to use these as arguments of macros.
% \begin{LVerbatim}
%   \pst@dima
%   \pst@dimb
%   \pst@dimc
%   \pst@dimd
%   \if@pst
% \end{LVerbatim}
% There is one exception. When using these in coordinates that are processed
% directly as Cartesian coordinates rather than with "\pst@getcoor", they must
% be used in this order:
% \begin{LVerbatim}
%    (\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)
% \end{LVerbatim}
% \item[Shared] These are used to share information between macros. Their
% value may be set by one macro and then used by another. Use with care. Do
% not set with "\global".
% \begin{quote}
%  \begin{tabular}{ll}
%    \em command & \em usage\\
%    "\pst@hbox" & Box created and manipulated in HR-box macros.\\
%    "\pst@coor" & PostScript code for a coordinate.\\
%    "\pst@angle" & PostScript code for an angle.\\
%    "\pst@rot"  & PostScript code for a rotation angle.\\
%    "\if@star" & This is a flag to keep track of optional "*".
%  \end{tabular}
% \end{quote}
% \end{description}
% \paragraph*{Plain \TeX\ commands}
% The commands
% \begin{LVerbatim}
%   \newbox
%   \newcount
%   \newdimen
%   \newif
%   \loop ... \repeat ... \fi
%   \z@
%   \sixt@@n
%\end{LVerbatim}
% are defined in "plain.tex" are part of most macro packages. PSTricks assumes
% that they are defined. Other than these, PSTricks only makes use of \TeX\
% primitives.
% \paragraph*{Dividing the file}
% {\bf\em Breaking up the file}\hskip 1em "pstricks.tex" can be broken up into
% the following components:
% \begin{description}
% \item[Basics] (Including color and simple rotation.) Sections \ref{Prelim},
% \ref{Config}, \ref{Header}, \ref{Errors}, \ref{Colors}, \ref{Colortab},
% \ref{Rotation:simple} and \ref{Config:revisited}.
% \item[Graphics] Sections \ref{Parameters}, \ref{Objects}, \ref{Linestyles},
% \ref{Arrowheads}, \ref{Lines}, \ref{Grids}, \ref{Fillstyles}, \ref{Frames},
% \ref{Frameboxes} and \ref{Circles}. Requires also {\bf Basics}.
% \item[Rotation] (Including picture environment.) Sections \ref{Arithmetic},
% \ref{Rotation:prelim}, \ref{Rotation:main} and \ref{Pictures}. Requires also
% {\bf Basics}.
% \end{description}
% \section{Preliminaries\label{Prelim}}
% Check whether file has been loaded already.
%    \begin{macrocode}
\csname PSTricksLoaded\endcsname
\let\PSTricksLoaded\endinput
%    \end{macrocode}
% Take care of the catcode of "@":
%    \begin{macrocode}
\edef\PstAtCode{\the\catcode`\@}
\catcode`\@=11\relax
%    \end{macrocode}
% Here are some hacks borrowed from \LaTeX{}, which are defined if \LaTeX{} is
% not being used.
%    \begin{macrocode}
\expandafter\ifx\csname @latexerr\endcsname\relax
  \long\def\@ifundefined#1#2#3{\expandafter\ifx\csname
    #1\endcsname\relax#2\else#3\fi}
  \def\@namedef#1{\expandafter\def\csname #1\endcsname}
  \def\@nameuse#1{\csname #1\endcsname}
  \def\@eha{%
    Your command was ignored.^^J
    Type \space I <command> <return> \space to replace
    it with another command,^^J
    or \space <return> \space to continue without it.}
  \def\@spaces{\space\space\space\space}
  \def\typeout#1{\immediate\write\@unused{#1}}
  \alloc@7\write\chardef\sixt@@n\@unused
  \def\@empty{}
  \def\@gobble#1{}
  \def\@nnil{\@nil}
  \def\@ifnextchar#1#2#3{%
    \let\@tempe#1\def\@tempa{#2}\def\@tempb{#3}\futurelet\@tempc\@ifnch}
  \def\@ifnch{%
    \ifx\@tempc\@sptoken
      \let\@tempd\@xifnch
    \else
      \ifx\@tempc\@tempe \let\@tempd\@tempa \else \let\@tempd\@tempb \fi
    \fi
    \@tempd}
  \begingroup
    \def\:{\global\let\@sptoken= } \:
    \def\:{\@xifnch} \expandafter\gdef\: {\futurelet\@tempc\@ifnch}
  \endgroup
%    \end{macrocode}
% Announce that the file is being loaded:
%    \begin{macrocode}
\typeout{`PSTricks' v\fileversion\space\space <\filedate> (tvz)}
%    \end{macrocode}
% \section{Error messages}
% \begin{macro}{\@pstrickserr}
% "\@pstrickserr" is analogous to "\@latexerr".
%    \begin{macrocode}
\def\@pstrickserr#1#2{%
  \begingroup
    \newlinechar`\^^J
    \edef\pst@tempc{#2}%
    \expandafter\errhelp\expandafter{\pst@tempc}%
    \typeout{%
      PSTricks error. \space See User's Guide for further information.^^J
      \@spaces\@spaces\@spaces\@spaces
      Type \space H <return> \space for immediate help.}%
    \errmessage{#1}%
  \endgroup}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\@ehpa,\@ehpb,\@ehpc}
% Here are some extra "\errhelp" message:
%    \begin{macrocode}
\def\@ehpa{%
  Your command was ignored. Default value substituted.^^J
  Type \space <return> \space to procede.}
\def\@ehpb{%
  Your command was ignored. Will recover best I can.^^J
  Type \space <return> \space to procede.}
\def\@ehpc{%
  You better fix this before proceding.^^J
  See the PSTricks User's Guide or ask your system administrator for help.^^J
  Type \space X <return> \space to quit.}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@misplaced}
%    \begin{macrocode}
\def\pst@misplaced#1{\@pstrickserr{Misplaced \string#1 command}\@ehpb}
%    \end{macrocode}
% \end{macro}
% \section{Scratch registers}
%    \begin{macrocode}
\newdimen\pst@dima
\newdimen\pst@dimb
\newdimen\pst@dimc
\newdimen\pst@dimd
\newdimen\pst@dimg
\newdimen\pst@dimh
\newbox\pst@hbox
\newbox\pst@boxg
\newcount\pst@cnta
\newcount\pst@cntb
\newcount\pst@cntc
\newcount\pst@cntd
\newcount\pst@cntg
\newcount\pst@cnth
\newif\if@pst
%    \end{macrocode}
% \section{Useful hacks}
% \begin{macro}{\pst@ifstar,\if@star}
%    \begin{macrocode}
\newif\if@star
\def\pst@ifstar#1{%
  \@ifnextchar*{\@startrue\def\next*{#1}\next}{\@starfalse#1}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@expandafter}
%    \begin{macrocode}
\def\pst@expandafter#1#2{%
  \def\next{#1}%
  \edef\@tempa{#2}%
  \ifx\@tempa\@empty
    \@pstrickserr{Unexpected empty argument!}\@ehpb
    \def\@tempa{\@empty}%
  \fi
  \expandafter\next\@tempa}
%    \end{macrocode}
% \end{macro}
% \section{Arithmetic}
% \begin{macro}{\pst@dimtonum,\pst@@dimtonum}
% This macro strips the value of "#1", a dimension register, of the "pt", and
% assigns the result to "#2", a command sequence. This is used for arithmetic
% and for converting \TeX\ dimensions to PostScript.
%    \begin{macrocode}
\def\pst@dimtonum#1#2{\edef#2{\pst@@dimtonum#1}}
\def\pst@@dimtonum#1{\expandafter\pst@@@dimtonum\the#1}
{\catcode`\p=12 \catcode`\t=12 \global\@namedef{pst@@@dimtonum}#1pt{#1}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@pyth}
% This is a piecewise-linear approximation to $("#1"^2+"#2"^2)^(1/2)$. The
% answer is assigned to "#3". All arguments should be dimension registers.
%    \begin{macrocode}
\def\pst@pyth#1#2#3{%
  \ifdim#1>#2\pst@@pyth#1#2#3\else\pst@@pyth#2#1#3\fi}
\def\pst@@pyth#1#2#3{%
  \ifdim4#1>9#2%
    #3=#1\advance#3 .2122#2%
  \else
    #3=.8384#1\advance#3 .5758#2%
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@divide}
% This computes "#3"="#1"/"#2" reasonably quickly. "#1" and "#2" should be
% dimensions, and "#3" should be a command sequence.
%    \begin{macrocode}
\def\pst@divide#1#2#3{%
  \begingroup
    \pst@dimg=#1\relax\pst@dimh=#2\relax
    \pst@cnta=\pst@dimg
    \pst@cntb=1073741824
    \pst@cntc=65536
    \def\pst@tempa{\fi\ifnum}%
    \loop\ifnum\pst@cnta<\pst@cntb
      \pst@tempa\pst@cntc>\@ne
      \multiply\pst@cnta2\divide\pst@cntc2
    \repeat
    \divide\pst@dimh\pst@cntc
    \divide\pst@cnta\pst@dimh
    \global\pst@dimg\number\pst@cnta sp
  \endgroup
  \pst@dimtonum\pst@dimg#3}
%    \end{macrocode}
% \end{macro}
% \section{Configuration file\label{Config}}
% \begin{macro}{\pst@configerr}
%    \begin{macrocode}
\def\pst@configerr#1{%
  \@pstrickserr{\string#1 not defined in pstricks.con}\@ehpc}
%    \end{macrocode}
% \end{macro}
% %    \begin{macrocode}
\def\pstVerb#1{\pst@configerr\pstVerb}
\def\pstverb#1{\pst@configerr\pstverb}
\def\pstverbscale{\pst@configerr\pstverbscale}
\def\pstrotate{\pst@configerr\pstrotate}
\def\pstheader#1{\pst@configerr\pstheader}
\def\pstdriver{\pst@configerr\pstdriver}
\@ifundefined{pstcustomize}%
  {\def\pstcustomize{\endinput\let\pstcustomize\relax}}{}
\input pstricks.con
%    \end{macrocode}
% \begin{macro}{\PSTricksOff}
%    \begin{macrocode}
\newif\ifPSTricks
\PSTrickstrue
\def\PSTricksOff{%
  \def\pstheader##1{}%
  \def\pstverb##1{}%
  \def\pstVerb##1{}%
  \PSTricksfalse}
%    \end{macrocode}
% \end{macro}
% \section{PostScript header file\label{Header}}
% \begin{macro}{\pst@def,\pst@ATH,\pst@useheader}
% There are three ways to use PSTricks:
% \begin{enumerate}
%   \item Use "pstricks.doc" directly. No header file is used.
% \item Use "\pst-make.tex" to generate a stripped input file for use without
% a header.
% \item Use "\pst-make.tex" to generate a header and a stripped input file for
% use with the header.
% \end{enumerate}
% PSTricks has been optimized for use with a header file (and the difference
% is speed and memory is very significant), but the flexible system described
% above makes it easier to maintain the code and allows one to use PSTricks
% with a DVI-to-PS driver that does not support header files.
% The following commands should be used in this ".doc" file for PostScript
% macros and other goodies related to the header file. Their behavior for each
% of the three cases list above is given below. These commands should always
% come {\em at the beginning of the line}, and should not inside conditionals.
% \begin{itemize}
% \item "\pst@def{foo}<bar>"
%   \begin{enumerate}
%     \item "\tx@foo" is defined to be "bar".
%     \item Writes
% \begin{LVerbatim}
%   \def\tx@foo{bar}
% \end{LVerbatim}
%     to "pstricks.tex".
%     \item Writes
% \begin{LVerbatim}
%    /foo { bar } def
% \end{LVerbatim}
%     to "pstricks.pro" and
% \begin{LVerbatim}
%   \def\tx@foo{foo}
% \end{LVerbatim}
%     to "pstricks.tex".
%   \end{enumerate}
% \item "\pst@ATH<foo>"
%   \begin{enumerate}
%     \item Gobbles "foo".
%     \item Ignores line.
%     \item Writes "foo" to "pstricks.pro".
%   \end{enumerate}
%   Note: "\pst@ATH" must come at the beginning of the line.
% \item "\ifx\pst@useheader\iftrue foo \else bar \fi"
%   \begin{enumerate}
%     \item Ignores "foo" and includes "bar".
%     \item Ignores "foo" and processes "bar".
%     \item Processes "foo" and ignores "bar".
%   \end{enumerate}
% Note: "\ifx\pst@useheader\iftrue", "\else" and "\fi" must each be on their
% own line.
% \end{itemize}
% "pst@make.tex" can be used to process other files at well, in the right
% order.
%   \begin{macrocode}
\@ifundefined{pst@def}{\def\pst@def#1<#2>{\@namedef{tx@#1}{#2 }}}{}
\@ifundefined{pst@ATH}{\def\pst@ATH<#1>{}}{}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@dict}
% The PostScript dictionary "tx@Dict" is set up in the header file, if one is
% used. Otherwise, it is set up with each procedure that uses the dictionary,
% if it is not currently defined.
%    \begin{macrocode}
\pst@ATH<\% Version \fileversion, \filedate.>
\pst@ATH<\% For use with \pstdriver.>
\pst@ATH</tx@Dict 200 dict def tx@Dict begin>
\pst@ATH</ADict 25 dict def>
\pst@ATH</CM { matrix currentmatrix } bind def>
\pst@ATH</SLW /setlinewidth load def>
\pst@ATH</CLW /currentlinewidth load def>
\pst@ATH</CP /currentpoint load def>
\pst@ATH</ED { exch def } bind def>
\pst@ATH</L /lineto load def>
\pst@ATH</T /translate load def>
\ifx\pst@useheader\iftrue
  \pstheader{pstricks.pro}
  \def\pst@dict{tx@Dict begin }
  \def\pst@theheaders{pstricks.pro}
\else
  \def\pst@dict{%
    /tx@Dict where
    { pop tx@Dict begin}
    { userdict begin
        /tx@Dict 200 dict def
      end
      tx@Dict begin
        /ADict 25 dict def
        /CM { matrix currentmatrix } bind def
        /SLW /setlinewidth load def
        /CLW /currentlinewidth load def
        /CP /currentpoint load def
        /ED { exch def } bind def
        /L /lineto load def }
    ifelse }
  \def\pst@theheaders{}%
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@Verb}
%    \begin{macrocode}
\def\pst@Verb#1{\pstVerb{\pst@dict #1 end}}
%    \end{macrocode}
% \end{macro}
% \section{PostScript hacks}
% \begin{macro}{\tx@Atan,\tx@Div}
% These are variants of "atan", and "div", that recover when result is not
% defined.
%    \begin{macrocode}
\pst@def{Atan}</atan load stopped { pop pop 0 } if>
\pst@def{Div}<dup 0 eq { pop } { div } ifelse>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@NET}
%    \begin{macrocode}
\pst@def{NET}<neg exch neg exch T>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@Pyth}
% $A$ $B$ "Pyth" $(A^2 + B^2)^{1/2}$
%    \begin{macrocode}
\pst@def{Pyth}<dup mul exch dup mul add sqrt>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@PtoC}
% Polar to Cartesian:
% \begin{LVerbatim}
%   <r> <a> PtoC <x> <y>
% \end{LVerbatim}
%    \begin{macrocode}
\pst@def{PtoC}<2 copy cos mul 3 1 roll sin mul>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@PathLength}
% "PathLength" is taken from the Blue Book. It leaves on the stack the length
% of the current path.
%    \begin{macrocode}
\pst@def{PathLength@}<%
  /z z y y1 sub x x1 sub \tx@Pyth add def
  /y1 y def /x1 x def>
\pst@def{PathLength}<%
  flattenpath /z 0 def
  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def } % moveto
  { /y ED /x ED \tx@PathLength@ } % lineto
  {} % curveto; ignore because of flattenpath.
  { /y y2 def /x x2 def \tx@PathLength@ } % closepath
  pathforall z>
%    \end{macrocode}
% \end{macro}
% \section{Converting \TeX\ things to PostScript}
% \begin{macro}{\pst@number,\tx@STP,\tx@STV}
% \begin{itemize}
% \item PSTricks' PostScript unit is 1pt, rather than 1bp, because this is
% more efficient.
% \item "\pst@number{<dimen register>}" converts <dimen> to PostScript, in
% points (pt).
% \item "\tx@STP" scales the DVI-to-PS driver's "\pstverb" environment to
% points (pt).
% \item "\tx@STV" scales the DVI-to-PS drivers's ungrouped PostScript
% "\special" environment ("\pstVerb") to points (pt).
% \end{itemize}
%    \begin{macrocode}
\pst@dimg=\pstunit\relax
\ifdim\pst@dimg=1bp
  \def\pst@stp{.996264 dup scale}
\else
  \edef\pst@stp{1 \pst@@dimtonum\pst@dimg\space div dup scale}
\pst@def{STP}<\pst@stp>
\pst@def{STV}<\pstverbscale\space\tx@STP>
\def\pst@number#1{\pst@@dimtonum#1\space}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@checknum}
% The first argument of "\pst@checknum" should be a number, and the second
% argument is a command. There are three possible outcomes:
% \begin{enumerate}
% \item The number is suitable for PostScript consumption, the command is set
% to the number, and "\pst@num" is set to "1" if the number is positive and to
% "2" if the number is negative.
% \item "\pst@checknum" detects that the number is not suitable for
% PostScript; "\pst@num" is set to "0", an error is given, and the command is
% defined to be {\tt 0 }.
% \item The number is not suitable for PostScript consumption, but
% "\pst@checknum" does not detect this. "\pst@num" is set to "1" or "2", and
% the command is set to some number that {\em is} suitable for PostScript.
% \end{enumerate}
% A trailing space is always added.
% "\pst@checknum" should generate no extraneous errors nor output, even if the
% first argument is a bad number.
% This macro is probably pretty close to optimal for what it does, as many
% variations have been tried.
%    \begin{macrocode}
\def\pst@checknum#1#2{%
  \edef\next{#1}%
  \ifx\next\@empty
    \let\pst@num\z@
  \else
    \expandafter\pst@@checknum\next..\@nil
  \fi
  \ifnum\pst@num=\z@
    \@pstrickserr{Bad number: `#1'. 0 substituted.}\@ehpa
    \def#2{0 }%
  \else
    \edef#2{\ifnum\pst@num=2 -\fi\the\pst@cntg.%
      \expandafter\@gobble\the\pst@cnth\space}%
  \fi}
\def\pst@@checknum{%
  \@ifnextchar-%
    {\def\pst@num{2}\expandafter\pst@@@checknum\@gobble}%
    {\def\pst@num{1}\pst@@@checknum}}
\def\pst@@@checknum#1.#2.#3\@nil{%
  \afterassignment\pst@@@@checknum\pst@cntg=0#1\relax\@nil
  \afterassignment\pst@@@@checknum\pst@cnth=1#2\relax\@nil}
\def\pst@@@@checknum#1\relax\@nil{%
  \ifx\@nil#1\@nil\else\let\pst@num\z@\fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getnumii,\pst@getnumiii,\pst@getnumiv}
% These are for processing comma-separated lists of numbers. They assign the
% numbers to "\pst@tempg", "\pst@temph", etc. Use like
% \begin{LVerbatim}
%   \pst@expandafter\pst@getnumiii{foo} {} {} {} {}\@ni
% \end{LVerbatim}
% If there are too few numbers, an error results. If there are too many, the
% extra numbers are ignored.
%    \begin{macrocode}
\def\pst@getnumii#1 #2 #3\@nil{%
  \pst@checknum{#1}\pst@tempg
  \pst@checknum{#2}\pst@temph}
\def\pst@getnumiii#1 #2 #3 #4\@nil{%
  \pst@checknum{#1}\pst@tempg
  \pst@checknum{#2}\pst@temph
  \pst@checknum{#3}\pst@tempi}
\def\pst@getnumiv#1 #2 #3 #4 #5\@nil{%
  \pst@checknum{#1}\pst@tempg
  \pst@checknum{#2}\pst@temph
  \pst@checknum{#3}\pst@tempi
  \pst@checknum{#4}\pst@tempj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getdimnum}
% Like "\pst@getnumii", but first item is a dimension and second is a number.
%    \begin{macrocode}
\def\pst@getdimnum#1 #2 #3\@nil{%
  \pssetlength\pst@dimg{#1}%
  \pst@checknum{#2}\pst@tempg}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getscale}
% "\pst@getscale" can have one or two numbers in its first argument.
%    \begin{macrocode}
\def\pst@getscale#1#2{%
  \pst@expandafter\pst@getnumii{#1 #1} {} {} {}\@nil
  \edef#2{\pst@tempg\space \pst@temph\space scale }%
  \ifdim\pst@tempg\p@=\z@
    \@pstrickserr{Bad scaling argument `#1'}\@ehpa
    \def#2{}%
  \else
    \ifdim\pst@temph\p@=\z@
      \@pstrickserr{Bad scaling argument}\@ehpa
      \def#2{}%
    \else
      \ifdim\pst@tempg\p@=\p@ \ifdim\pst@temph\p@=\p@ \def#2{}\fi\fi
    \fi
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getint}
%    \begin{macrocode}
\def\pst@getint#1#2{%
  \pst@cntg=#1\relax
  \edef#2{\the\pst@cntg\space}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pslbrace,\psrbrace}
% When balanced braces are used, they work without problems in "\special"'s.
% "\pslbrace" and "\psrbrace" let you use unbalanced braces.
%    \begin{macrocode}
\begingroup
  \catcode`\{=12
  \catcode`\}=12
  \catcode`\[=1
  \catcode`\]=2
  \gdef\pslbrace[{ ]
  \gdef\psrbrace[} ]
\endgroup
%    \end{macrocode}
% \end{macro}
% \section{Colors\label{Colors}}
% \begin{macro}{\@newcolor}
% "\@newcolor{<color>}{<spec>}", where <color> is a name and <spec> is the
% associated PostScript color specification , sets
% \begin{itemize}
%   \item "\<color>" to "\pst@color{<spec>}", and
%   \item "\color@<color>" to <spec>.
% \end{itemize}
% Then "\<color>" can be used by the user to color text, etc., and
% "\color@<color>" is used by PSTricks graphics objects to find the
% specification for <color>.
%    \begin{macrocode}
\def\@newcolor#1#2{%
  \expandafter\edef\csname #1\endcsname{\noexpand\pst@color{#2}}%
  \expandafter\edef\csname color@#1\endcsname{#2}%
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@color,\pst@endcolor}
% The argument of "\pst@color" should be a PostScript command for setting the
% color; e.g., "0 setgray". It saves the command in "\pst@currentcolor", and
% then switches to "\pst@currentcolor" at the end of the current group. The
% color changes do not extend across pages, although this capability could be
% written into the output routines (so that "\pst@currentcolor" is set at the
% beginning of the page, and headers and footers begin with "\black", etc.).
% Moving boxes cause problems, but there is no way around this until \TeX{}
% supports color internally.
%    \begin{macrocode}
\def\pst@color#1{%
  \def\pst@currentcolor{#1}\pstVerb{#1}\aftergroup\pst@endcolor}
\def\pst@endcolor{\pstVerb{\pst@currentcolor}}
\def\pst@currentcolor{0 setgray}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\altcolormode,\pst@grestore}
% The color macros defined above can conflict with other color macros.
% "\altcolormode" sets up a different scheme that uses "gsave" and "grestore"
% to reset colors. This may reduce the likelihood of such conflict. It also
% makes moving boxes less of a problem, as long as the color command is itself
% grouped within the box. However, if the scope of a color command extends
% across pages in a \TeX{} input file, unmatched "gsave"'s and "grestore"'s
% will be left on pages, wreaking havok on the output. "\pst@grestore" is
% defined to do various things that makes using "grestore" more robust.
%    \begin{macrocode}
\def\altcolormode{%
  \def\pst@color##1{%
    \pstVerb{gsave ##1}\aftergroup\pst@endcolor}%
  \def\pst@endcolor{\pstVerb{\pst@grestore}}}
\def\pst@grestore{%
  currentpoint
  matrix currentmatrix
  currentfont
  grestore
  setfont
  setmatrix
  moveto}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@usecolor}
% This looks up the color specification.
%    \begin{macrocode}
\def\pst@usecolor#1{\csname color@#1\endcsname\space}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\newgray}
% "\newgray" uses PostScript's "setgray" operator.
%    \begin{macrocode}
\def\newgray#1#2{%
  \pst@checknum{#2}\pst@tempg
  \@newcolor{#1}{\pst@tempg setgray}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\newrgbcolor}
% This works like "\newgray", but the color specification should consist of 3
% numbers rather than just 1, and the "setrgbcolor" operator is used.
%    \begin{macrocode}
\def\newrgbcolor#1#2{%
  \pst@expandafter\pst@getnumiii{#2} {} {} {} {}\@nil
  \@newcolor{#1}{\pst@tempg \pst@temph \pst@tempi setrgbcolor}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\newhsbcolor}
% This is just like "\newrgbcolor", but the "sethsbcolor" operator is used.
%    \begin{macrocode}
\def\newhsbcolor#1#2{%
  \pst@expandafter\pst@getnumiii{#2} {} {} {} {}\@nil
  \@newcolor{#1}{\pst@tempg \pst@temph \pst@tempi sethsbcolor}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\newcmykcolor}
% This is like "\newrgbcolor", the color specification consists of 4 numbers
% and the "setcmykcolor" operator is used.
%    \begin{macrocode}
\def\newcmykcolor#1#2{%
  \pst@expandafter\pst@getnumiv{#2} {} {} {} {} {}\@nil
  \@newcolor{#1}{\pst@tempg \pst@temph \pst@tempi \pst@tempj setcmykcolor}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\black,\darkgray,\gray,\lightgray,\white}
% Here are some default gray definitions:
%    \begin{macrocode}
\newgray{black}{0}
\newgray{darkgray}{.25}
\newgray{gray}{.5}
\newgray{lightgray}{.75}
\newgray{white}{1}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\red,\green,\blue,\yellow,\cyan,\magenta}
% And some default rgb color definitions.
%    \begin{macrocode}
\newrgbcolor{red}{1 0 0}
\newrgbcolor{green}{0 1 0}
\newrgbcolor{blue}{0 0 1}
\newrgbcolor{yellow}{1 1 0}
\newrgbcolor{cyan}{0 1 1}
\newrgbcolor{magenta}{1 0 1}
%    \end{macrocode}
% \end{macro}
% \section{Setting graphics parameters\label{Parameters}}
% \begin{macro}{\psset}
% For each <parameter>"="<value> pair in its argument, "\psset" invokes
% \begin{LVerbatim}
%   \psset@<parameter>{<value>}
% \end{LVerbatim}
% The value is processed and typically stored in "\ps<parameters>" if the
% value is user-accessible and "\psk@<parameter>" if not. "\psset" ignores
% spaces that follow the comma that separates key-value pairs.
% When initializing <parameter> in this file, preferable use
% \begin{LVerbatim}
%   \psset@<parameter>{<value>}
% \end{LVerbatim}
% so that default values can be easily extracted for the {\em User's Guide}.
%   \begin{macrocode}
\def\psset#1{\@psset#1,\@nil\ignorespaces}
\def\@psset#1,{%
  \@@psset#1==\@nil
  \@ifnextchar\@nil{\@gobble}{\@psset}}
\def\@@psset#1=#2=#3\@nil{%
  \@ifundefined{psset@#1}%
    {\@pstrickserr{Graphics parameter `#1' not defined.}\@ehpa}%
    {\@nameuse{psset@#1}{#2}}}%
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\newpsstyle}
%    \begin{macrocode}
\def\psset@style#1{%
  \@ifundefined{pscs@#1}%
    {\@pstrickserr{Custom style `#1' undefined}\@ehpa}%
    {\@nameuse{pscs@#1}}}
\def\newpsstyle#1#2{\@namedef{pscs@#1}{\psset{#2}}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\@none}
% Use to check when a parameter value is "none".
%    \begin{macrocode}
\def\@none{none}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getcolor}
% This is used by various graphics parameters that are colors.
%    \begin{macrocode}
\def\pst@getcolor#1#2{%
  \@ifundefined{color@#1}%
    {\@pstrickserr{Color `#1' not defined}\@eha}%
    {\edef#2{#1}}}
%    \end{macrocode}
% \end{macro}
% \section{Dimensions}
% \begin{macro}{\psunit,\psxunit,\psyunit}
%    \begin{macrocode}
\newdimen\psunit \psunit 1cm
\newdimen\psxunit \psxunit 1cm
\newdimen\psyunit \psyunit 1cm
\let\psrunit\psunit
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pssetlength,\psaddtolength,\pssetxlength,\pssetylength}
%    \begin{macrocode}
\def\pstunit@off{\let\@psunit\ignorespaces\ignorespaces}
\def\pssetlength#1#2{%
  \let\@psunit\psunit
  \afterassignment\pstunit@off
  #1 #2\@psunit}
\def\psaddtolength#1#2{%
  \let\@psunit\psunit
  \afterassignment\pstunit@off
  \advance#1 #2\@psunit}
\def\pssetxlength#1#2{%
  \let\@psunit\psxunit
  \afterassignment\pstunit@off
  #1 #2\@psunit}
\def\pssetylength#1#2{%
  \let\@psunit\psyunit
  \afterassignment\pstunit@off
  #1 #2\@psunit}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@unit,\psset@xunit,\psset@yunit}
%    \begin{macrocode}
\def\psset@unit#1{%
  \pssetlength\psunit{#1}%
  \psxunit=\psunit
  \psyunit=\psunit}
\def\psset@runit#1{\pssetlength\psrunit{#1}}
\def\psset@xunit#1{\pssetxlength\psxunit{#1}}
\def\psset@yunit#1{\pssetylength\psyunit{#1}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getlength,pst@@getlength}
% "#1" is a \TeX\ dimensions. "\pst@getlength" sets "#2" to the PostScript
% code for "#1", and "\pst@@getlength" set "#2" to the \TeX\ code for "#1".
%    \begin{macrocode}
\def\pst@getlength#1#2{%
  \pssetlength\pst@dimg{#1}%
  \edef#2{\pst@number\pst@dimg}}
\def\pst@@getlength#1#2{%
  \pssetlength\pst@dimg{#1}%
  \edef#2{\number\pst@dimg sp}}
%    \end{macrocode}
% \end{macro}
% \section{Normal Coordinates and angles}
% \begin{macro}{\pst@getcoor,\pst@coor}
% "\pst@@getcoor" should be defined to read a coordinate and convert it to
% PostScript, assigning the result to "\pst@coor" (including the trailing
% space).
% "\pst@getcoor" invokes "\pst@@getcoor" and then sets its second argument to
% "\pst@coor".
%    \begin{macrocode}
\def\pst@getcoor#1#2{\pst@@getcoor{#1}\let#2\pst@coor}
\def\pst@coor{0 0 }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getcoors,\pst@coors}
% "\pst@getcoors" reads coordinates until there are none left, adding them
% {\em in reverse order} to "\pst@coors".
%    \begin{macrocode}
\def\pst@getcoors#1#2{%
  \def\pst@aftercoors{\addto@pscode{#1 \pst@coors }#2}%
  \def\pst@coors{}%
  \pst@@getcoors}
\def\pst@@getcoors(#1){%
  \pst@@getcoor{#1}%
  \edef\pst@coors{\pst@coor\pst@coors}%
  \@ifnextchar({\pst@@getcoors}{\pst@aftercoors}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getangle,\pst@angle}
% \n\pst@@getangle\ should be defined to read an angle and convert it to
% PostScript, assigning the result to \n\pst@angle\ (including the trailing
% space).
% \n\pst@getangle\ invokes \n\pst@@getangle\ and then sets its second argument
% to \n\pst@angle.
%    \begin{macrocode}
\def\pst@getangle#1#2{\pst@@getangle{#1}\let#2\pst@angle}
\def\pst@angle{0 }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{getcoor@c,\NormalCoor}
% By default, coordinates are read as Cartesian coordinates by
% "\cartesian@coor".
% Angles are read as numbers, scaled by \n\pst@angleunit.
% "\NormalCoor" sets these two defaults, and also defines the translation for
% the put commands to be done by \TeX\ using Cartesian coordinates.
%    \begin{macrocode}
\def\cartesian@coor#1,#2,#3\@nil{%
  \pssetxlength\pst@dimg{#1}%
  \pssetylength\pst@dimh{#2}%
  \edef\pst@coor{\pst@number\pst@dimg \pst@number\pst@dimh}}
\def\NormalCoor{%
  \def\pst@@getcoor##1{\pst@expandafter\cartesian@coor{##1},\relax,\@nil}%
  \def\pst@@getangle##1{%
    \pst@checknum{##1}\pst@angle
    \edef\pst@angle{\pst@angle \pst@angleunit}}%
  \def\psput@##1{\pst@@getcoor{##1}\leavevmode\psput@cartesian}}
\NormalCoor
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@angleunit,\degrees,\radians}
% "\degrees" sets "\pst@angleunit" to the PostScript code for scaling the
% angle, including the trailing space.
%    \begin{macrocode}
\def\degrees{\@ifnextchar[{\@degrees}{\def\pst@angleunit{}}}
\def\@degrees[#1]{%
  \pst@checknum{#1}\pst@tempg
  \edef\pst@angleunit{360 \pst@tempg div mul }%
  \ignorespaces}
\def\radians{\def\pst@angleunit{57.2956 mul }}
\def\pst@angleunit{}
%    \end{macrocode}
% \end{macro}
% \section{Special coordinates and angles}
% This is a tedious but useful.
% \begin{macro}{\SpecialCoor}
%    \begin{macrocode}
\def\SpecialCoor{%
  \def\pst@@getcoor##1{\pst@expandafter\special@coor{##1}||\@nil}%
  \def\pst@@getangle##1{\pst@expandafter\special@angle{##1}\@empty)\@nil}%
  \def\psput@##1{\pst@@getcoor{##1}\leavevmode\psput@special}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\specialcoor}
%    \begin{macrocode}
\def\special@coor#1|#2|#3\@nil{%
  \ifx#3|\relax
    \mixed@coor{#1}{#2}%
  \else
    \special@@coor#1;;\@nil
  \fi}
\def\special@@coor#1{%
  \ifcat#1a\relax
    \def\next{\node@coor#1}%
  \else
    \ifx#1[\relax
      \def\next{\Node@coor[}%
    \else
      \ifx#1!\relax
        \def\next{\raw@coor}%
      \else
        \def\next{\special@@@coor#1}%
      \fi
    \fi
  \fi
  \next}
\def\special@@@coor#1;#2;#3\@nil{%
  \ifx#3;\relax
    \polar@coor{#1}{#2}%
  \else
    \cartesian@coor#1,\relax,\@nil
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\mixed@coor}
% This allows mixing of coordinate types with \n\SpecialCoor.
%    \begin{macrocode}
\def\mixed@coor#1#2{%
    \begingroup
      \specialcoor@ii#1;;\@nil
      \let\pst@tempa\pst@coor
      \specialcoor@ii#2;;\@nil
      \xdef\pst@tempg{\pst@tempa pop \pst@coor exch pop }%
    \endgroup
    \let\pst@coor\pst@tempg}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\polar@coor}
% For polar coordinates
%    \begin{macrocode}
\def\polar@coor#1#2{%
  \pssetlength\pst@dimg{#1}%
  \pst@@getangle{#2}%
  \edef\pst@coor{\pst@number\pst@dimg \pst@angle \tx@PtoC}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\raw@coor}
% For raw PostScript.
%    \begin{macrocode}
\def\raw@coor#1;#2\@nil{%
  \edef\pst@coor{%
    #1 \pst@number\psyunit mul exch \pst@number\psxunit mul exch }}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\node@coor,\Node@coor}
% These are defined in "pst-node.tex".
%    \begin{macrocode}
\def\node@coor#1\@nil{%
  \@pstrickserr{You must load `pst-node.tex' to use node coordinates.}\@ehps
  \def\pst@coor{0 0 }}
\def\Node@coor{\node@coor}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\special@angle}
%    \begin{macrocode}
\def\special@angle#1#2)#3\@nil{%
  \ifx#1!\relax
    \edef\pst@angle{#2 \pst@angleunit}%
  \else
    \ifx#1(\relax
      \pst@@getcoor{#2}%
      \edef\pst@angle{\pst@coor exch \tx@Atan}%
    \else
      \pst@checknum{#1#2}\pst@angle
      \edef\pst@angle{\pst@angle \pst@angleunit}%
    \fi
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\Cartesian,\Polar}
% These are obsolete.
%    \begin{macrocode}
\def\Cartesian{%
  \def\cartesian@coor##1,##2,##3\@nil{%
    \pssetxlength\pst@dimg{##1}%
    \pssetylength\pst@dimh{##2}%
    \edef\pst@coor{\pst@number\pst@dimg \pst@number\pst@dimh}}%
  \@ifnextchar({\Cartesian@}{}}
\def\Cartesian@(#1,#2){%
  \pssetxlength\psxunit{#1}%
  \pssetylength\psyunit{#2}%
  \ignorespaces}
\def\Polar{%
  \def\psput@cartesian{\psput@special}%
  \def\cartesian@coor##1,##2,##3\@nil{\polar@coor{##1}{##2}}}%
%    \end{macrocode}
% \end{macro}
% \section{Basic graphics parameters}
% \begin{macro}{\psset@origin,\psk@origin}
%    \begin{macrocode}
\def\psset@origin#1{%
  \pst@@getcoor{#1}%
  \edef\psk@origin{\pst@coor \tx@NET }}
\def\psk@origin{}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@swapaxes,\ifpsswapaxes}
%    \begin{macrocode}
\newif\ifswapaxes
\def\psset@swapaxes#1{%
  \@nameuse{@pst#1}%
  \if@pst
    \def\psk@swapaxes{-90 rotate -1 1 scale }%
  \else
    \def\psk@swapaxes{}%
  \fi}
\psset@swapaxes{false}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@showpoints,\ifshowpoints}
%    \begin{macrocode}
\newif\ifshowpoints
\def\psset@showpoints#1{\@nameuse{showpoints#1}}
\psset@showpoints{false}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@border,\psk@border}
%    \begin{macrocode}
\let\pst@setrepeatarrowsflag\relax
\def\psset@border#1{%
  \pst@getlength{#1}\psk@border
  \pst@setrepeatarrowsflag}
\psset@border{0pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@bordercolor,\psbordercolor}
%    \begin{macrocode}
\def\psset@bordercolor#1{\pst@getcolor{#1}\psbordercolor}
\psset@bordercolor{white}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@doubleline,\ifpsdoubleline}
%    \begin{macrocode}
\newif\ifpsdoubleline
\def\psset@doubleline#1{%
  \@nameuse{psdoubleline#1}%
  \pst@setrepeatarrowsflag}
\psset@doubleline{false}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@doublesep,\psdoublesep}
%    \begin{macrocode}
\def\psset@doublesep#1{\def\psdoublesep{#1}}
\psset@doublesep{1.25\pslinewidth}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@doublecolor,\psdoublecolor}
%    \begin{macrocode}
\def\psset@doublecolor#1{\pst@getcolor{#1}\psdoublecolor}
\psset@doublecolor{white}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@shadow,\ifpsshadow}
%    \begin{macrocode}
\newif\ifpsshadow
\def\psset@shadow#1{%
  \@nameuse{psshadow#1}%
  \pst@setrepeatarrowsflag}
\psset@shadow{false}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@shadowsize,\psk@shadowsize}
%    \begin{macrocode}
\def\psset@shadowsize#1{\pst@getlength{#1}\psk@shadowsize}
\psset@shadowsize{3pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@shadowangle,\psk@shadowangle}
%    \begin{macrocode}
\def\psset@shadowangle#1{\pst@getangle{#1}\psk@shadowangle}
\psset@shadowangle{-45}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@shadowcolor,\psshadowcolor}
%    \begin{macrocode}
\def\psset@shadowcolor#1{\pst@getcolor{#1}\psshadowcolor}
\psset@shadowcolor{darkgray}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@setrepeatarrowsflag}
%    \begin{macrocode}
\def\pst@repeatarrowsflag{\z@}
\def\pst@setrepeatarrowsflag{%
  \edef\pst@repeatarrowsflag{%
    \ifdim\psk@border\p@>\z@ 1\else\ifpsdoubleline 1\else
    \ifpsshadow 1\else \z@\fi\fi\fi}}
%    \end{macrocode}
% \end{macro}
% \section{Line styles\label{Linestyles}}
% For each "linestyle" <style>, the command "\psls@<style>" should be the
% PostScript code that strokes the path. The style can assume that the
% PostScript environment has linewidth equal to \n\pslinewidth\ and color
% equal to \n\pslinecolor.
% \begin{macro}{\pst@linetype}
% Macros that draw lines should define "\pst@linetype" (not a count register)
% to be:
% \begin{description}
% \item[1,2,$\ldots$] A closed path whose length should be divided by
% "\pst@linetype" before fitting a pattern.
% \item[0] A line that has nothing at the tips.
% \item[-1] A line with an arrow or something at the end.
% \item[-2] A line with an arrow or something at the beginning.
% \item[-3] A line with an arrow or something at each end.
% \end{description}
% This information is used by the line styles that draw dashed and dotted
% lines in order to figure out how to adjust the patterns.
% \end{macro}
% \begin{macro}{\psls@none}
%    \begin{macrocode}
\def\psls@none{}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@linewidth,\pslinewidth}
%    \begin{macrocode}
\newdimen\pslinewidth
\def\psset@linewidth#1{\pssetlength\pslinewidth{#1}}
\psset@linewidth{.8pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@linecolor,\pslinecolor}
%    \begin{macrocode}
\def\psset@linecolor#1{\pst@getcolor{#1}\pslinecolor}
\psset@linecolor{black}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psls@solid}
%    \begin{macrocode}
\def\psls@solid{0 setlinecap stroke }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@dash,\psk@dash}
% "\psk@dash" is set to the PostScript code for the dash pattern (include the
% trailing space).
%    \begin{macrocode}
\def\psset@dash#1{%
  \pst@expandafter\psset@@dash{#1} * * *\@nil
  \edef\psk@dash{\pst@number\pst@dimg \pst@number\pst@dimh}}
\def\psset@@dash#1 #2 #3\@nil{%
  \pssetlength\pst@dimg{#1}%
  \pssetlength\pst@dimh{#2}}
\psset@dash{5pt 3pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psls@dashed}
%    \begin{macrocode}
\def\psls@dashed{\psk@dash \pst@linetype\space \tx@DashLine}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@DashLine}
% Syntax:
% \begin{Ex}
%   <dim1 dim2 linetype> "DashLine"
% \end{Ex}
% "DashLine" adjusts, and then sets, the dash pattern "[<dim1 dim2>]" so that
% it fits evenly onto a path.
%    \begin{macrocode}
\pst@def{DashLine}<%
  % "a" is set to the length of first and last black segment, as fraction of
  % usual black segment.
  dup 0 gt
  { /a .5 def \tx@PathLength exch div }
  { pop /a 1 def \tx@PathLength }
  ifelse
  /b ED             % Pattern should fit evenly in b
  /x ED             % Length of white segment.
  /y ED             % Length of black segment.
  /z y x add def    % Total length of dash pattern.
  % If pattern  is repeated n times, total length is (nz + 2(a-.5)y).
  % Set length to b, solve for n, round, and leave on stack:
  %   n = round((b - 2(a-.5)y)/z)
  b a .5 sub 2 mul y mul sub z \tx@Div round
  % Adjust x and y by factor k so that
  %   (n(kz) + 2(a-.5)(ky)) = b.
  % Solve for k and leave two copies on stack:
  %   k = b/(nz + 2(a-.5)y)
  z mul a .5 sub 2 mul y mul add b exch \tx@Div dup
  % Scale x and y, set dash, and stroke:
  y mul /y ED x mul /x ED
  % Make sure both x and y aren't zero:
  x 0 eq y 0 eq and { /x 1 def /y 1 def } if
  [ y x ] 1 a sub y mul setdash stroke>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{dotsep}
%    \begin{macrocode}
\def\psset@dotsep#1{\pst@getlength{#1}\psk@dotsep}
\psset@dotsep{3pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psls@dotted}
%    \begin{macrocode}
\def\psls@dotted{\psk@dotsep \pst@linetype\space \tx@DotLine}%
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@DotLine}
% Syntax:
% \begin{Ex}
%   <dim linetype> "DotLine"
% \end{Ex}
% "DotLine" adjusts, and then sets, the dash pattern to produce a dotted line
% with distance <dim> between dots so that it fits evenly onto a path. Dots
% are produced by setting dash pattern with length of white segment equal to
% distance from center of dot to center of dot, length of black segment equal
% to 0, and "linecap" equal to 1.
%    \begin{macrocode}
\pst@def{DotLine}<%
  /b \tx@PathLength def  % Path length.
  /a ED                  % \pst@linetype.
  /z ED                  % dotsep.
  /y CLW def             % linewidth (dot diameter).
  /z y z add def         % Total length of dash pattern.
  % Set b to adjusted path length that pattern should be multiple of:
  a 0 gt
    % If closed, as many dots as spaces.
    { /b b a div def }
    { a 0 eq
        % If open with no arrows, one more dot than space.
        { /b b y sub def }
        % If open one arrow, as many dots as spaces (do nothing)
        % If open two arrows, one more space than dot.
        { a -3 eq { /b b y add def } if }
      ifelse }
  ifelse
  % Let n be number of times pattern is repeated:
  %  n = round(b/z)
  % Adjust length of pattern so that it fits evenly in b:
  %  z = b/n = b/(round(b/z))
  % z is length of white segment. Length of black segment is 0.
  [ 0 b b z \tx@Div round \tx@Div dup 0 le { pop 1 } if ]
  a 0 gt                % setting dash pattern.
    % Set offset to 0 if path is closed]
    { 0 }
    % Set offset to -(y/2) if open curve begins with arrow, (y/2) otherwise:
    { y 2 div a -2 gt { neg } if }
  ifelse
  % Setting linecap to 1 produces the dots.
  setdash 1 setlinecap stroke>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@linestyle}
%    \begin{macrocode}
\def\psset@linestyle#1{%
  \@ifundefined{psls@#1}%
    {\@pstrickserr{Line style `#1' not defined}\@eha}%
    {\edef\pslinestyle{#1}}}
\psset@linestyle{solid}
%    \end{macrocode}
% \end{macro}
% \section{Fill styles\label{Fillstyles}}
% For each "fillstyle" <style>, the command "\psfs@<style>" should be the
% PostScript code that fills the region. The style should not assume anything
% about the PostScript environment's "linewidth" or color.
% \begin{macro}{\psfs@none}
%    \begin{macrocode}
\def\psfs@none{}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@fillcolor,\psfillcolor}
%    \begin{macrocode}
\def\psset@fillcolor#1{\pst@getcolor{#1}\psfillcolor}
\psset@fillcolor{white}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psfs@solid}
%    \begin{macrocode}
\def\psfs@solid{\pst@usecolor\psfillcolor fill }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{hatchwidth}
%    \begin{macrocode}
\def\psset@hatchwidth#1{\pst@getlength{#1}\psk@hatchwidth}
\psset@hatchwidth{.8pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{hatchsep}
%    \begin{macrocode}
\def\psset@hatchsep#1{\pst@getlength{#1}\psk@hatchsep}
\psset@hatchsep{4pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{hatchcolor}
%    \begin{macrocode}
\def\psset@hatchcolor#1{\pst@getcolor{#1}\pshatchcolor}
\psset@hatchcolor{black}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{hatchangle}
%    \begin{macrocode}
\def\psset@hatchangle#1{\pst@getangle{#1}\psk@hatchangle}
\psset@hatchangle{45}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psfs@hlines}
%    \begin{macrocode}
\def\psfs@hlines{%
  \psk@hatchangle rotate
  \psk@hatchwidth SLW
  \pst@usecolor\pshatchcolor
  \psk@hatchsep \tx@LineFill}
\@namedef{psfs@hlines*}{gsave \psfs@solid grestore \psfs@hlines}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@LineFill}
%    \begin{macrocode}
\pst@def{LineFill}<%
  abs CLW add /a ED              % hatchsep
  gsave
    clip
    pathbbox                   %leave llx,lly,urx,ury on stack
    a \tx@Div ceiling /y2 ED   % Number of top line to be drawn.
    /x2 ED
    a \tx@Div floor /y1 ED     % Number of bottom line to be drawn
    /x1 ED
    /n y2 y1 sub 1 add cvi def % Number of lines.
    /y1 a y1 mul def           % y-coordinate of bottom line.
    newpath 2 setlinecap
    n
    { currentstrokeadjust ==
      x1 y1 moveto
      x2 y1 L
      stroke
      /y1 y1 a add def }
    repeat
  grestore>
\pst@def{LineFill}<%
  abs CLW add /a ED              % hatchsep
  gsave
    clip
    pathbbox                   %leave llx,lly,urx,ury on stack
    a \tx@Div ceiling /y2 ED   % Number of top line to be drawn.
    /x2 ED
    a \tx@Div floor /y1 ED     % Number of bottom line to be drawn
    /x1 ED
    /n y2 y1 sub 1 add cvi def % Number of lines.
    /y1 a y1 mul def           % y-coordinate of bottom line.
    newpath 2 setlinecap
    systemdict /currentstrokeadjust known  % Level 2
    { currentstrokeadjust }
    { false }
    ifelse
    { /t { } def }
    { /t {
        transform
        0.25 sub round 0.25 add exch
        0.25 sub round 0.25 add exch
        itransform
      } bind def }
    ifelse
    n {
      x1 y1 t moveto
      x2 y1 t L
      stroke
      /y1 y1 a add def
    } repeat
  grestore>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psfs@vlines}
%    \begin{macrocode}
\def\psfs@vlines{%
  90 rotate
  \psfs@hlines}
\@namedef{psfs@vlines*}{gsave \psfs@solid grestore \psfs@vlines}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psfs@crosshatch}
%    \begin{macrocode}
\def\psfs@crosshatch{gsave \psfs@hlines grestore \psfs@vlines}
\@namedef{psfs@crosshatch*}{%
  gsave \psfs@solid grestore
  gsave \psfs@hlines grestore
  \psfs@vlines}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{fillstyle}
%    \begin{macrocode}
\def\psset@fillstyle#1{%
  \@ifundefined{psfs@#1}%
    {\@pstrickserr{Undefined fill style: `#1'}\@eha}%
    {\edef\psfillstyle{#1}}}
\psset@fillstyle{none}
%    \end{macrocode}
% \end{macro}
% \section{Arrowheads and t-bars\label{Arrowheads}}
% It would be nice to use a font, with hinting.
% \begin{macro}{\psset@arrows,\psk@arrowA,\psk@arrowB}
% "\if@pst" is used as a flag for errors.
%    \begin{macrocode}
\def\psset@arrows#1{%
  \begingroup
    \pst@activearrows
    \xdef\pst@tempg{#1}%
  \endgroup
  \expandafter\psset@@arrows\pst@tempg\@empty-\@empty\@nil
  \if@pst\else
    \@pstrickserr{Bad arrows specification: #1}\@ehpa
  \fi}
\def\psset@@arrows#1-#2\@empty#3\@nil{%
  \@psttrue
  \def\next##1,#1-##2,##3\@nil{\def\pst@tempg{##2}}%
  \expandafter\next\pst@arrowtable,#1-#1,\@nil
  \@ifundefined{psas@\pst@tempg}%
    {\@pstfalse\def\psk@arrowA{}}%
    {\let\psk@arrowA\pst@tempg}%
  \@ifundefined{psas@#2}%
    {\@pstfalse\def\psk@arrowB{}}%
    {\def\psk@arrowB{#2}}}
\def\psk@arrowA{}
\def\psk@arrowB{}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@arrowtable}
% This is a translator for "arrowA". Add to it with "\edef", as in
% \begin{LVerbatim}
%   \edef\pst@arrowtable{\pst@arrowtable,*o-o*}
% \end{LVerbatim}
%    \begin{macrocode}
\def\pst@arrowtable{,<->,<<->>,>-<,>>-<<,(-),[-]}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@activearrows}
% This redefines certain characters in case they are active, before expanding
% the "arrows" argument. Add to it with "\expandafter", as in
% \begin{LVerbatim}
%   \begingroup
%     \catcode`\:=13
%     \expandafter\gdef\expandafter\pst@activearrows
%       \expandafter{\def:{\string:}}
%   \endgroup
% \end{LVerbatim}
%    \begin{macrocode}
\begingroup
  \catcode`\<=13
  \catcode`\>=13
  \catcode`\|=13
  \gdef\pst@activearrows{\def<{\string<}\def>{\string>}\def|{\string|}}
\endgroup
%    \end{macrocode}
% \end{macro}
% \begin{macro}{BeginArrow,EndArrow}
% For each arrow <arrow>, "\psas@<arrow>" should be PostScript code so that
% \begin{LVerbatim}
%   <y2 x2 y1 x1> BeginArrow \psk@arrowscale \psas@<arrow> EndArrow
% \end{LVerbatim}
% \begin{itemize}
%  \item Draws an arrow with the tip at <x1 y1>, and
% \item Leaves on the stack <y2 x2 x1' y1'>, where <x1' y1'> is the position
% that a connecting line should start from.
% \end{itemize}
% "BeginArrow" sets up an environment so that "\psas@<arrow>" only has to draw
% an arrow pointing down and with the tip at "0 0" and , and leave the current
% point where a connecting line should start from. "EndArrow" then restores
% the original environment and translates the current point into the original
% coordinate system.
% A special dictionary "ADict" is used with arrows so that scratch variables
% will not conflict. The matrix is saved as "@mtrx" to indicate that the arrow
% procedures should not change this. The same is true for "@x1", "@y1", "@x2",
% "@y2" and "@angle", which are used by a patch of "BeginArrow" and "EndArrow"
% that is required for some versions of Sun's NewsPrint (see "read-me.pst").
%    \begin{macrocode}
\pst@def{BeginArrow}<%
  ADict begin
  /@mtrx CM def
  gsave
    2 copy T
    2 index sub neg exch 3 index sub exch \tx@Atan
    rotate
    newpath>
\pst@def{EndArrow}<@mtrx setmatrix CP grestore end>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{arrowscale}
%    \begin{macrocode}
\def\psset@arrowscale#1{\pst@getscale{#1}\psk@arrowscale}
\psset@arrowscale{1}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@arrowsize,\psk@arrowsize}
%    \begin{macrocode}
\def\psset@arrowsize#1{%
  \pst@expandafter\pst@getdimnum{#1} {} {} {}\@nil
  \edef\psk@arrowsize{\pst@number\pst@dimg \pst@tempg}}
\psset@arrowsize{2pt 3}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@arrowlength,\psk@arrowlength}
%    \begin{macrocode}
\def\psset@arrowlength#1{\pst@checknum{#1}\psk@arrowlength}
\psset@arrowlength{1.4}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@arrowinset,\psk@arrowinset}
%    \begin{macrocode}
\def\psset@arrowinset#1{\pst@checknum{#1}\psk@arrowinset}%
\psset@arrowinset{.4}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@Arrow}
% Syntax:
% \begin{LVerbatim}
%   <boolean> \psk@arrowinset \psk@arrowlength \psk@arrowsize Arrow
% \end{LVerbatim}
% <boolean> is "true" for reverse arrows and "false" for normal arrows.
%    \begin{macrocode}
\pst@def{Arrow}<%
  CLW mul add dup               % width
  2 div /w ED                   % Half width
  mul dup /h ED                 % Height
  mul /a ED                     % Inset
  { 0 h T 1 -1 scale } if   % For reverse arrows
  w neg h moveto
  0 0 L
  w h L
  w neg a neg rlineto
  gsave fill grestore>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@>}
%    \begin{macrocode}
\@namedef{psas@>}{%
  false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@>>}
%    \begin{macrocode}
\@namedef{psas@>>}{%
  false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
  0 h T
  gsave
    newpath
    false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
    CP
  grestore
  CP newpath moveto
  2 copy
  stroke
  moveto}
%    \end{macrocode}
% \end{macro}
% \begingroup
% \catcode`\<=12
% \begin{macro}{\psas@<}
%    \begin{macrocode}
\@namedef{psas@<}{%
  true \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@<<}
%    \begin{macrocode}
\@namedef{psas@<<}{%
  true \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
  CP newpath moveto 0 a neg L stroke 0 h neg T
  false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow}
%    \end{macrocode}
% \end{macro}
% \endgroup
% \begin{macro}{\psset@tbarsize,\psk@tbarsize}
%    \begin{macrocode}
\def\psset@tbarsize#1{%
  \pst@expandafter\pst@getdimnum{#1} {} {} {}\@nil
  \edef\psk@tbarsize{\pst@number\pst@dimg \pst@tempg}}
\psset@tbarsize{2pt 5}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{Tbar}
% Syntax
% \begin{LVerbatim}
%   \psk@tbarsize Tbar
% \end{LVerbatim}
%    \begin{macrocode}
\pst@def{Tbar}<%
  CLW mul add /z ED              % width
  z -2 div CLW 2 div moveto
  z 0 rlineto
  stroke
  0 CLW moveto>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@|}
%    \begin{macrocode}
\@namedef{psas@|}{\psk@tbarsize \tx@Tbar}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@|*}
%    \begin{macrocode}
\@namedef{psas@|*}{0 CLW -2 div T \psk@tbarsize \tx@Tbar}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@bracketlength,\psk@bracketlength}
%    \begin{macrocode}
\def\psset@bracketlength#1{\pst@checknum{#1}\psk@bracketlength}
\psset@bracketlength{.15}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@Bracket,\tx@@Bracket}
% Syntax
% \begin{LVerbatim}
%   \psk@bracketlength \psk@tbarsize Bracket
% \end{LVerbatim}
%    \begin{macrocode}
\pst@def{Bracket}<%
  CLW mul add dup
  CLW sub 2 div /x ED   % adjusted half width
  mul CLW add /y ED     % y-position of height
  /z CLW 2 div def
  x neg y moveto
  x neg CLW 2 div L
  x CLW 2 div L
  x y L
  stroke
  0 CLW moveto>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@]}
%    \begin{macrocode}
\@namedef{psas@]}{\psk@bracketlength \psk@tbarsize \tx@Bracket}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@rbracketlength,\psk@rbracketlength}
%    \begin{macrocode}
\def\psset@rbracketlength#1{\pst@checknum{#1}\psk@rbracketlength}
\psset@rbracketlength{.15}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{RoundBracket}
% Syntax
% \begin{LVerbatim}
%   \psk@bracketlength \psk@tbarsize RoundBracket
% \end{LVerbatim}
%    \begin{macrocode}
\pst@def{RoundBracket}<%
  CLW mul add dup
  2 div /x ED           % half width
  mul /y ED             % height
  /mtrx CM def
  0 CLW 2 div T
  x y mul 0 ne { x y scale } if
  1 1 moveto
   .85 .5   .35  0   0 0 curveto
  -.35  0  -.85 .5  -1 1 curveto
  mtrx setmatrix
  stroke
  0 CLW moveto>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@(}
%    \begin{macrocode}
\@namedef{psas@)}{\psk@rbracketlength \psk@tbarsize \tx@RoundBracket}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@c,\psas@cc,\psas@C}
% This is not going to be used frequently, and so we don't bother defining a
% PostScript procedure in the header.
%    \begin{macrocode}
\def\psas@c{1 \psas@@c}
\def\psas@cc{0 CLW 2 div T 1 \psas@@c}
\def\psas@C{2 \psas@@c}
\def\psas@@c{%
  setlinecap
  0 0 moveto
  0 CLW 2 div L
  stroke
  0 0 moveto}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@}
%    \begin{macrocode}
\def\psas@{}
\psset@arrows{-}
%    \end{macrocode}
% \end{macro}
% \section{Graphics objects: processing arguments}
% \begin{macro}{\pst@par,\addto@par,\use@par}
% Graphics objects accumulate <parameter>=<value> pairs in the command
% sequence "\pst@par". They use "\addto@par" to add to "\pst@par", and
% "\use@par" to make the parameter changes effective.
%    \begin{macrocode}
\def\pst@par{}
\def\addto@par#1{%
  \ifx\pst@par\@empty
    \def\pst@par{#1}%
  \else
    \expandafter\def\expandafter\pst@par\expandafter{\pst@par,#1}%
  \fi}
\def\use@par{%
  \ifx\pst@par\@empty\else
    \expandafter\@psset\pst@par,\@nil
    \def\pst@par{}%
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@object}
% Any macro, such as "\psline", that uses graphics parameters should begin as
% follows:
% \begin{LVerbatim}
%   \def\psline{\def\pst@par{}\pst@object{psline}}
%   \def\psline@i{ ... }
% \end{LVerbatim}
% "\pst@object" checkes for the optional "[<par>=<value>,...]" argument, adds
% key-value pairs to "\pst@par" if found, skips spaces, and then invokes
% "\psline@i".
%    \begin{macrocode}
\def\pst@object#1{%
  \pst@ifstar{\@ifnextchar[{\pst@@object{#1}}{\@nameuse{#1@i}}}}
\def\pst@@object#1[#2]{%
  \addto@par{#2}\@ifnextchar+{\@nameuse{#1@i}}{\@nameuse{#1@i}}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\newpsobject}
% For example,
% \begin{LVerbatim}
%   \newpsobject{dottedline}{psline}{linestyle=dotted}
% \end{LVerbatim}
% has the following effect:
% \begin{LVerbatim}
%   \def\dottedline{%
%     \def\pst@par{linestyle=dotted}\pst@object{psline}}
% \end{LVerbatim}
% and thus "\dottedline" is just like "\psline", except that the default falue
% of "linestyle" is changed to "dotted".
%    \begin{macrocode}
\def\newpsobject#1#2#3{%
  \@ifundefined{#2@i}%
    {\@pstrickserr{Graphics object `#2' not defined}\@eha}%
    {\@namedef{#1}{\def\pst@par{#3}\pst@object{#2}}}\ignorespaces}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getarrows}
% "\pst@getarrows{foo}" checks for an optional argument containing arrows, and
% then invokes "foo". The arrows argument must be followed by "(".
%    \begin{macrocode}
\def\pst@getarrows#1{\@ifnextchar({#1}{\pst@@getarrows{#1}}}
\def\pst@@getarrows#1#2{\addto@par{arrows=#2}#1}
%    \end{macrocode}
% \end{macro}
% \section{Graphics objects: Basics \TeX\ macros\label{Objects}}
% Each graphics object should use one of the following:
% \begin{center}
% \begin{tabular}{ll}
% "\begin@OpenObj ... \end@OpenObj" & Open curves with arrows.\\
% "\begin@AltOpenObj ... \end@AltOpenObj" & Open curves w/o arrows.\\
% "\begin@ClosedObj ... \end@ClosedObj" & Closed curves.\\
% "\begin@SpecialObj ... \end@SpecialObj" & Other.
% \end{tabular}
% \end{center}
% This makes it possible for "\pscustom" to work by redefining these.
% \begin{macro}{\begin@ClosedObj,\end@ClosedObj}
%    \begin{macrocode}
\def\begin@ClosedObj{%
  \leavevmode
  \pst@killglue
  \begingroup
    \use@par
    \solid@star
    \ifpsdoubleline \pst@setdoublesep \fi
    \init@pscode}
\def\end@ClosedObj{%
    \ifpsshadow \pst@closedshadow \fi
    \ifdim\psk@border\p@>\z@ \pst@addborder \fi
    \pst@fill
    \pst@stroke
    \ifpsdoubleline \pst@doublestroke \fi
    \ifshowpoints
      \addto@pscode{Points aload length 2 div cvi /N ED \psdots@iii}%
    \fi
    \use@pscode
  \endgroup
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\begin@OpenObj,\begin@AltOpenObj,\end@OpenObj}
%    \begin{macrocode}
\def\begin@OpenObj{%
  \begin@ClosedObj
    \let\pst@linetype\pst@arrowtype
    \pst@addarrowdef}
\def\begin@AltOpenObj{%
  \begin@ClosedObj
    \def\pst@repeatarrowsflag{\z@}%
    \def\pst@linetype{0}}
\def\end@OpenObj{%
    \ifpsshadow \pst@openshadow \fi
    \ifdim\psk@border\p@>\z@ \pst@addborder \fi
    \pst@fill
    \pst@stroke
    \ifpsdoubleline \pst@doublestroke \fi
    \ifnum\pst@repeatarrowsflag>\z@ \pst@repeatarrows \fi
    \ifshowpoints \pst@OpenShowPoints \fi
    \use@pscode
  \endgroup
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\begin@SpecialObj,\end@SpecialObj}
%    \begin{macrocode}
\def\begin@SpecialObj{%
  \leavevmode
  \pst@killglue
  \begingroup
    \use@par
    \init@pscode}
\def\end@SpecialObj{%
    \use@pscode
  \endgroup
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\init@pscode,\addto@pscode,\use@pscode}
% Graphics objects are built up by adding PostScript code to "\pst@code" with
% "\addto@pscode". "\use@pscode" then adds leading and trailing PostScript
% code, and (normally) inserts it in a "\special" (it also most empty
% "\pst@code"). Hacks like "\psclip", "\multips" and "\pstextpath" work by
% redefining "\use@pscode". These hacks use "\use@pscode" themselves when
% appropriate, making limited nesting of these hacks is possible. "\PSTtoEPS"
% works be redefining "\addto@pscode" so that it writes to a file. All this
% was carefully designed so that these hacks would work. Watch out!
%    \begin{macrocode}
\def\pst@code{}%
\def\init@pscode{%
  \addto@pscode{%
    \pst@number\pslinewidth SLW
    \pst@usecolor\pslinecolor}}
\def\addto@pscode#1{\xdef\pst@code{\pst@code#1\space}}
\def\use@pscode{%
  \pstverb{%
    \pst@dict
      \tx@STP
      newpath
      \psk@origin
      \psk@swapaxes
      \pst@code
     end}%
   \gdef\pst@code{}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@killglue}
%    \begin{macrocode}
\def\KillGlue{%
  \def\pst@killglue{\unskip\ifdim\lastskip>\z@\expandafter\pst@killglue\fi}}
\def\DontKillGlue{\let\pst@killglue\relax}
\DontKillGlue
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\solid@star}
% The optional "*" is typically used to make a solid option. This means that
% "linestyle" is set to "none", "linewidth" is set to "0", and "fillcolor" is
% set to "linecolor".
%    \begin{macrocode}
\def\solid@star{%
  \if@star
    \pslinewidth=\z@
    \psdoublelinefalse
    \def\pslinestyle{none}%
    \def\psfillstyle{solid}%
    \let\psfillcolor\pslinecolor
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@setdoublesep}
%    \begin{macrocode}
\def\pst@setdoublesep{%
  \pst@getlength\psdoublesep\psdoublesep
  \pslinewidth=2\pslinewidth
  \advance\pslinewidth\psdoublesep\p@
  \let\pst@setdoublesep\relax}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@Shadow}
% Syntax:
% \begin{Ex}
%    <x y> Shadow
% \end{Ex}
% translates current path by <x y>.
%    \begin{macrocode}
\pst@def{Shadow}<%
    { /moveto load }
    { /lineto load }
    { /curveto load }
    { /closepath load }
    pathforall
  cvx
  newpath
  3 1 roll
  exec>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@closedshadow}
%    \begin{macrocode}
\def\pst@closedshadow{%
  \addto@pscode{%
    gsave
    \psk@shadowsize \psk@shadowangle \tx@PtoC
    \tx@Shadow
    \pst@usecolor\psshadowcolor
    gsave fill grestore
    stroke
    grestore
    gsave
    \pst@usecolor\psfillcolor
    gsave fill grestore
    stroke
    grestore}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@openshadow}
%    \begin{macrocode}
\def\pst@openshadow{%
  \addto@pscode{%
    gsave
      \psk@shadowsize \psk@shadowangle \tx@PtoC
      \tx@Shadow
      \pst@usecolor\psshadowcolor
      \ifx\psfillstyle\@none\else
        gsave fill grestore
      \fi
      stroke}%
  \pst@repeatarrows
  \addto@pscode{grestore}
  \ifx\psfillstyle\@none\else
    \addto@pscode{%
      gsave
      \pst@usecolor\psfillcolor
      gsave fill grestore
      stroke
      grestore}
   \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@addborder}
%    \begin{macrocode}
\def\pst@addborder{%
  \addto@pscode{%
    gsave
      \psk@border 2 mul
      CLW add SLW
      \pst@usecolor\psbordercolor
      stroke
    grestore}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@stroke}
%    \begin{macrocode}
\def\pst@stroke{%
  \ifx\pslinestyle\@none\else
    \addto@pscode{%
      gsave
        \pst@number\pslinewidth SLW
        \pst@usecolor\pslinecolor
        \@nameuse{psls@\pslinestyle}
      grestore}%
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@fill}
%    \begin{macrocode}
\def\pst@fill{%
  \ifx\psfillstyle\@none\else
    \addto@pscode{gsave \@nameuse{psfs@\psfillstyle} grestore}%
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@doublestroke}
%    \begin{macrocode}
\def\pst@doublestroke{%
  \addto@pscode{%
    gsave
      \psdoublesep SLW
      \pst@usecolor\psdoublecolor
      stroke
    grestore}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@arrowtype}
%    \begin{macrocode}
\def\pst@arrowtype{%
  \ifx\psk@arrowB\@empty 0 \else -2 \fi
  \ifx\psk@arrowA\@empty 0 \else -1 \fi
  add}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@addarrowdef,\pst@arrowdef,\pst@arrowtype}
% "ArrowA" takes two coordinates from the stack, draws the arrow with the tip
% at the top coordinate, leaves the second coordinate on the stack and leaves
% the current point where a line should join.
% "ArrowB" takes two coordinates from the stack, draws the arrow with the tip
% at the top coordinate, and leaves both coordinates on the stack, without
% changing the graphics state.
% This particular definition of "ArrowA" is important for "\pscustom".
% "ArrowA" and "ArrowB" might also save the arrow coordinates, because
% sometimes it is necessary to redraw the arrows (see
% "\pst@setrepeatarrowsflag").
%    \begin{macrocode}
\def\pst@addarrowdef{%
  \addto@pscode{%
    /ArrowA {
      \ifx\psk@arrowA\@empty
        \pst@oplineto
      \else
        \pst@arrowdef{A}
        moveto
      \fi
    } def
    /ArrowB {
      \ifx\psk@arrowB\@empty \else \pst@arrowdef{B} \fi
    } def}}
\def\pst@arrowdef#1{%
  \ifnum\pst@repeatarrowsflag>\z@
    /Arrow#1c [ 6 2 roll ] cvx def Arrow#1c
  \fi
  \tx@BeginArrow
  \psk@arrowscale
  \@nameuse{psas@\@nameuse{psk@arrow#1}}
  \tx@EndArrow}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@repeatarrows}
%    \begin{macrocode}
\def\pst@repeatarrows{%
  \addto@pscode{%
    gsave
    \ifx\psk@arrowA\@empty\else
      ArrowAc ArrowA pop pop
    \fi
    \ifx\psk@arrowB\@empty\else
      ArrowBc ArrowB pop pop pop pop
    \fi
    grestore}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@OpenShowPoints}
%    \begin{macrocode}
\def\pst@OpenShowPoints{%
  \addto@pscode{%
    gsave
      \psk@dotsize
      \@nameuse{psds@\psk@dotstyle}
      /TheDot {
        gsave T \psk@dotangle \psk@dotscale Dot grestore
      } def
      newpath
      Points aload length 2 div 2 sub cvi /N ED
      N 0 ge
      { \ifx\psk@arrowA\@empty
          TheDot
        \else
          pop pop
        \fi
        N { TheDot } repeat
        \ifx\psk@arrowB\@empty
          TheDot
        \else
          pop pop
        \fi }
      { N 2 mul { pop } repeat }
      ifelse
    grestore}}
%    \end{macrocode}
% \end{macro}
% \section{Custom graphics}
% Graphics objects using "\begin@SpecialObj" cannot be used with "\pscustom".
% It is up to the other graphics objects to be compatible with "\pscustom".
% This means:
% \begin{itemize}
% \item To use the current point as an additional coordinate, when it exists,
% the graphics object should insert "\pst@cp".
% \item For graphics objects that use "\begin@OpenObj", the "ArrowA" is
% defined by "\pscustom" to connect the top coordinate with the current point
% by a line, if there is a current point. Other graphics objects should use
% "\pst@oplineto" as a substitute for "moveto" if they wish to connect a
% coordinate to the current point if it exists.
% \end{itemize}
% Closed graphics objects are not under an obligation to anything particularly
% sensible the current point exists.
% \begin{macro}{\pscustom}
% The main graphics object modifies "\begin@OpenObj" and "\end@OpenObj" so
% that the open curves extend the current path.
%    \begin{macrocode}
\def\pscustom{\def\pst@par{}\pst@object{pscustom}}
\long\def\pscustom@i#1{%
  \begin@SpecialObj
    \solid@star
    \let\pst@ifcustom\iftrue
    \let\begin@ClosedObj\begin@CustomObj
    \let\end@ClosedObj\endgroup
    \def\begin@OpenObj{\begin@CustomObj\pst@addarrowdef}%
    \let\end@OpenObj\endgroup
    \let\begin@AltOpenObj\begin@CustomObj
    \def\begin@SpecialObj{%
      \begingroup
      \pst@misplaced{special graphics object}%
      \def\addto@pscode####1{}
      \let\end@SpecialObj\endgroup}%
    \def\@multips(##1)(##2)##3##4{\pst@misplaced\multips}%
    \def\psclip##1{\pst@misplaced\psclip}%
    \def\pst@repeatarrowsflag{\z@}%
    \let\pst@setrepeatarrowsflag\relax
    \showpointsfalse
    \let\showpointstrue\relax
    \def\pst@linetype{\pslinetype}%
    \let\psset@liftpen\psset@@liftpen
    \psset@liftpen{\z@}%
    \def\pst@cp{/currentpoint load stopped pop }%
    \def\pst@oplineto{/lineto load stopped { moveto } if }%
    \def\pst@optcp##1##2{%
      \ifnum##1=\z@\def##2{/currentpoint load stopped { 0 0 } if }\fi}%
    \let\caddto@pscode\addto@pscode
    \def\cuse@par##1{{\use@par##1}}%
    \the\pst@customdefs
    \setbox\pst@hbox=\hbox{#1}%
    \pst@fill
    \pst@stroke
  \end@SpecialObj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\begin@CustomObj,\end@CustomObj}
%    \begin{macrocode}
\def\begin@CustomObj{%
  \begingroup
    \use@par
    \addto@pscode{%
      \pst@number\pslinewidth SLW
      \pst@usecolor\pslinecolor}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@liftpen,\pst@cp,\pst@oplineto,\pst@optcp}
%    \begin{macrocode}
\def\pst@oplineto{moveto }
\def\pst@cp{}
\def\pst@optcp#1#2{}
\def\psset@liftpen#1{}
\def\psset@@liftpen#1{%
  \ifcase#1\relax
    \def\psk@liftpen{\z@}%
    \def\pst@cp{/currentpoint load stopped pop }%
    \def\pst@oplineto{/lineto load stopped { moveto } if }%
  \or
    \def\psk@liftpen{1}%
    \def\pst@cp{}%
    \def\pst@oplineto{/lineto load stopped { moveto } if }%
  \or
    \def\psk@liftpen{2}%
    \def\pst@cp{}%
    \def\pst@oplineto{moveto }%
  \fi}
\psset@liftpen{0}
\def\psk@liftpen{-1}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@linetype,\pslinetype}
%    \begin{macrocode}
\def\psset@linetype#1{%
  \pst@getint{#1}\pslinetype
  \ifnum\pst@dimg<-3
    \@pstrickserr{linetype must be greater than -3}\@ehpa
    \def\pslinetype{0}%
  \fi}
\psset@linetype{0}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\caddto@pscode}
% Commands that should only occur in "\pscustom" should use this. Obsolete?
%    \begin{macrocode}
\def\caddto@pscode#1{%
  \@pstrickserr{Command can only be used in \string\pscustom}\@ehpa}
\let\cuse@par\caddto@pscode
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@MSave,\tx@MRestore}
% It doesn't seem worth adding these to the header file.
%    \begin{macrocode}
\def\tx@MSave{%
  /msavemtrx
  [ tx@Dict /msavemtrx known { msavemtrx aload pop } if CM ]
  def }
\def\tx@MRestore{%
  tx@Dict /msavemtrx known { length 0 gt } { false } ifelse
  { /msavematrx [ msavematrx aload pop setmatrix ] def }
  if }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psmove,\psclosepath,\psgroup}
%    \begin{macrocode}
\newtoks\pst@customdefs
\pst@customdefs{%
  \def\newpath{\addto@pscode{newpath}}%
  \def\moveto(#1){\pst@@getcoor{#1}\addto@pscode{\pst@coor moveto}}%
  \def\closepath{\addto@pscode{closepath}}%
  \def\gsave{\begingroup\addto@pscode{gsave}}%
  \def\grestore{\endgroup\addto@pscode{grestore}}%
  \def\translate(#1){\pst@@getcoor{#1}\addto@pscode{\pst@coor moveto}}%
  \def\rotate#1{\pst@@getangle{#1}\addto@pscode{\pst@angle rotate}}%
  \def\scale#1{\pst@getscale{#1}\pst@tempg\addto@pscode{\pst@tempg}}%
  \def\msave{\addto@pscode{\tx@MSave}}%
  \def\mrestore{\addto@pscode{\tx@MRestore}}%
  \def\swapaxes{\addto@pscode{-90 rotate -1 1 scale}}%
  \def\stroke{\def\pst@par{}\pst@object{stroke}}%
  \def\fill{\def\pst@par{}\pst@object{fill}}%
  \def\openshadow{\def\pst@par{}\pst@object{openshadow}}%
  \def\closedshadow{\def\pst@par{}\pst@object{closedshadow}}%
  \def\movepath(#1){\pst@@getcoor{#1}\addto@pscode{\pst@coor tx@Shadow}}%
  \def\lineto{\pst@onecoor{lineto}}%
  \def\rlineto{\pst@onecoor{rlineto}}%
  \def\curveto{\pst@threecoor{curveto}}%
  \def\rcurveto{\pst@threecoor{rcurveto}}%
  \def\code#1{\addto@pscode{#1}}%
  \def\coor(#1){\pst@@getcoor{#1}\addto@pscode\pst@coor\@ifnextchar({\coor}{}}%
  \def\rcoor{\pst@getcoors{}{}}%
  \def\dim#1{\pssetlength\pst@dimg{#1}\addto@pscode{\pst@number\pst@dimg}}%
  \def\setcolor#1{%
    \@ifundefined{color@#1}{}{\addto@pscode{\use@color{#1}}}}%
  \def\arrows#1{{\psset@arrows{#1}\pst@addarrowdef}}%
  \let\file\pst@rawfile
} % END \pst@customdefs
\def\closedshadow@i{\cuse@par\pst@closedshadow}
\def\openshadow@i{\cuse@par\pst@openshadow}
\def\stroke@i{\cuse@par\pst@stroke}%
\def\fill@i{\cuse@par\pst@fill}%
\def\pst@onecoor#1(#2){%
  \pst@@getcoor{#2}%
  \addto@pscode{\pst@coor #1}}
\def\pst@threecoor#1(#2)#3(#4)#5(#6){%
  \begingroup
    \pst@getcoor{#2}\pst@tempa
    \pst@getcoor{#4}\pst@tempb
    \pst@getcoor{#6}\pst@tembc
    \addto@pscode{\pst@tempa \pst@tempb \pst@tempc #1}%
  \endgroup}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psrawfile,\pst@rawfile}
%    \begin{macrocode}
\def\pst@rawfile#1{%
  \begingroup
    \def\do##1{\catcode`##1=12\relax}"
    \dospecials
    \catcode`\%=14
    \pst@@rawfile{#1}%
  \endgroup}
\def\pst@@rawfile#1{%
  \immediate\openin1 #1
  \ifeof1
    \@pstrickserr{File `#1' not found}\@ehpa
  \else
    \immediate\read1 to \pst@tempg
    \loop
      \ifeof1 \@pstfalse\else\@psttrue\fi
    \if@pst
      \addto@pscode\pst@tempg
      \immediate\read1 to \pst@tempg
    \repeat
  \fi
  \immediate\closein1\relax}
%    \end{macrocode}
% \end{macro}
% \section{Graphics objects: Basic PostScript macros}
% \begin{macro}{SD}
%    \begin{macrocode}
\pst@def{SD}<%
  0 360 arc fill>
\pst@def{SQ}<%
  /r ED
  r r moveto
  r r neg L
  r neg r neg L
  r neg r L
  fill>
\pst@def{ST}<%
  /y ED /x ED
  x y moveto
  x neg y L
  0 x L
  fill>
\pst@def{SP}<%
  /r ED
  gsave
    0 r moveto
    4 { 72 rotate 0 r L } repeat
    fill
  grestore>
\@namedef{psds@*}{/Dot { 0 0 DS \tx@SD } def}
\@namedef{psds@o}{%
  /r2 DS CLW sub def
  /Dot { 0 0 DS \tx@SD \pst@usecolor\psfillcolor 0 0 r2 \tx@SD } def}
\@namedef{psds@square*}{%
  /r1 DS .886 mul def
  /Dot { r1 \tx@SQ } def}
\@namedef{psds@square}{%
  /r1 DS .886 mul def /r2 r1 CLW sub def
  /Dot { r1 \tx@SQ \pst@usecolor\psfillcolor r2 \tx@SQ } def}
\@namedef{psds@triangle*}{%
  /y1 DS .778 mul neg def /x1 y1 1.732 mul neg def
  /Dot { x1 y1 \tx@ST } def}
\@namedef{psds@triangle}{%
  /y1 DS .778 mul neg def /x1 y1 1.732 mul neg def
  /y2 y1 CLW add def /x2 y2 1.732 mul neg def
  /Dot { x1 y1 \tx@ST \pst@usecolor\psfillcolor x2 y2 \tx@ST } def}
\@namedef{psds@pentagon*}{%
  /r1 DS 1.149 mul def
  /Dot { r1 \tx@SP } def}
\@namedef{psds@pentagon}{%
  DS .93 mul dup 1.236 mul /r1 ED CLW sub 1.236 mul /r2 ED
  /Dot { r1 \tx@SP \pst@usecolor\psfillcolor
    r2 \tx@SP } def}
\@namedef{psds@+}{%
  /DS DS 1.253 mul def
  /Dot { DS 0 moveto DS neg 0 L stroke
    0 DS moveto 0 DS neg L stroke } def}
\@namedef{psds@|}{%
  \psk@tbarsize CLW mul add 2 div /DS ED
  /Dot { 0 DS moveto 0 DS neg L stroke } def}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{dotstyle}
%    \begin{macrocode}
\def\psset@dotstyle#1{%
  \@ifundefined{psds@#1}%
    {\@pstrickserr{Dot style `#1' not defined}\@eha}%
    {\edef\psk@dotstyle{#1}}}
\psset@dotstyle{*}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{NArray}
% Syntax:
% \begin{Ex}
%   <array of points> NArray <points>
% \end{Ex}
% Sets "n" to the number of pairs in the array, and makes sure there is an
% even number of elements.
%    \begin{macrocode}
\pst@def{NArray}<%
  aload length 2 div dup
  dup cvi eq not { exch pop } if
  /n exch cvi def>
\pst@def{NArray}<%
  /f ED
  counttomark 2 div
  dup cvi /n ED
  n eq not { exch pop } if
    { ] aload /Points ED }
    { n 2 mul 1 add -1 roll pop }
  ifelse>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{Line}
% Syntax:
% \begin{Ex}
%   <array of points> Line -
% \end{Ex}
% "ArrowA" and "ArrowB" should be defined to draw arrows, and "Lineto" should
% be the procedure used to draw the path; either "lineto" or "Arcto".
%    \begin{macrocode}
\pst@def{Line}<%
  \tx@NArray
  n 0 eq not
  { n 1 eq { 0 0 /n 2 def } if
    ArrowA
    /n n 2 sub def
    n { Lineto } repeat
    CP 4 2 roll ArrowB L
    pop pop }
  if>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{Arcto}
% Syntax:
% \begin{Ex}
%   <x2 y2 x1 y1> Arcto <x2 y2>
% \end{Ex}
% "r" should be set to the arc radius. Adds to the path with "arcto", with the
% corner at <x1 y1> and going towards <x2 y2>. Works even when the points are
% equal. For use with "Line" and "Polygon".
%    \begin{macrocode}
\pst@def{Arcto}<%
  /a [ 6 -2 roll ] cvx def
  a r /arcto load stopped { 5 } { 4 } ifelse { pop } repeat a>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{Polygon}
% Syntax:
% \begin{Ex}
%   <array of points> Line -
% \end{Ex}
% "Lineto" should be the procedure used to draw the path; either "lineto" or
% "Arcto".
%    \begin{macrocode}
\pst@def{CheckClosed}<%
  dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq and
  { pop pop /n n 1 sub def }
  if>
\pst@def{Polygon}<%
  \tx@NArray
  n 2 eq { 0 0 /n 3 def } if
  n 3 lt
  { n { pop pop } repeat }
  { n 3 gt { \tx@CheckClosed } if
    n 2 mul -2 roll /y0 ED /x0 ED
    /y1 ED /x1 ED x1 y1
    /x1 x0 x1 add 2 div def
    /y1 y0 y1 add 2 div def
    x1 y1 moveto
    /n n 2 sub def
    n { Lineto } repeat
    x1 y1 x0 y0 6 4 roll
    Lineto Lineto pop pop closepath }
  ifelse>
%    \end{macrocode}
% \end{macro}
% \section{Interpolated curves}
% This documentation is largely junk.
% There one was an alternate algorithm that had the nice property that when
% the coordinates were scaled, the interpolated curve would scale in the same
% way. It was also simpler. However, this one gives nicer looking results in
% most cases.
% Two parameters should be defined:
% \begin{description}
%   \item[a] Lower values make the curve tighter. (Default: 1)
% \item[b] Higher values make the curve tighter where the angle ABC is less
% than 45 degrees, and loosen the curve elsewhere. (Default: .1)
% \end{description}
% "ArrowA" and "ArrowB" should be defined as well.
% Each two points are connected by a single Bezier curve, using curveto. For
% each point P, let P- and P+ be the control points before and after the
% point. I.e., If A, B and C are consecutive points, then A and B are
% connected by the Bezier curve with control points A, A+, B- and B, and B and
% C are connected with control points B, B+, C- and C.
% The interpolation is local, meaning that control points B- and B+ depend
% only on points A, B and C.
% \begin{macro}{\tx@CCA,\tx@CC}
% The first three lines before "CCA" set "x1"$=Ax+$, "y1"$=Ay+$,
% "l0"$=d(A,B)$, "dx0"$=Bx-Ax$, and "dy0"$=By-Ay$. After "CCA", "x"$=Bx$,
% "y"$=By$, "dx1"$=Cx-Bx$, "dy2"$=Cy-By$, and "l1"$=d(B,C)$.
%    \begin{macrocode}
\pst@def{CCA}<%
  /y ED /x ED 2 copy
  y sub /dy1 ED x sub /dx1 ED
  /l1 dx1 dy1 \tx@Pyth def>
\pst@def{CCA}<%
  /y ED /x ED 2 copy
  y sub /dy1 ED x sub /dx1 ED
  /l1 dx1 dy1 \tx@Pyth def>
\pst@def{CC}<%
  /l0 l1 def
  /x1 x dx sub def /y1 y dy sub def
  /dx0 dx1 def /dy0 dy1 def
  \tx@CCA
%    \end{macrocode}
% The task is now to calculate $B-$ and $B+$. We first calculate the slope
% "dx" and "dy" at $B$. This tangent at $B$ should be perpendicular to the
% bisection of the angle $ABC$. Recalling that "dx0" and "dy0" ``point'' from
% $A$ to $B$, this tangency thus passes through $B+(dx,dy)$, where $(dx,dy)$
% is the average of $dx0,dy0$ and $dx1,dy1$, once these have been normalized
% to have the same length. If we normalize by dividing each by their length,
% and then multiplying both by both lengths, we get
% \begin{center}\tt\begin{tabular}{rcl}
%   dx & $=$ & l1 $\times$ dx0 $+$ l0 $\times$ dx1 \\[3pt]
%   dy & $=$ & l1 $\times$ dy0 $+$ l0 $\times$ dy1
% \end{tabular}\end{center}
%    \begin{macrocode}
  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def
  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def
%    \end{macrocode}
% "dx" and "dy" give us the direction of the control points $B-$ and $B+$ from
% $B$. Now we adjust the distance of these control points. The first component
% is sine of the angle ABC, so that smaller angles give closer control points.
% This is raised to the "b", so that "b" controls the extent of this
% dependency (and can even reverse the relation).
% Then this amount is multiplied times "a", which those adjusts the overall
% tightness, independently of the angle. Let's call this amount $M$. This
% amount is then divided by the length of the vector $(dx,dy)$, thereby
% normalizing this vector to unit length, and then, multiplied times the
% distance between $A$ and $B$ (for calculating $B-$). Thus, $B-$ is distance
% $M d(A,B)$ from $B$. $(x2,y2)$ are set to $B-$, thus calculated, and $B+$ is
% temporily stored in $(dx,dy)$.
%    \begin{macrocode}
  /m dx0 dy0 \tx@Atan dx1 dy1 \tx@Atan sub
     2 div cos abs b exp a mul
     dx dy \tx@Pyth \tx@Div 2 div def
  /x2 x l0 dx mul m mul sub def
  /y2 y l0 dy mul m mul sub def
  /dx l1 dx mul m mul neg def
  /dy l1 dy mul m mul neg def>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@IC,\tx@BOC,\tx@NC,\tx@EOC,\tx@BAC,\tx@NAC,\tx@EAC}
% These are the compenents of the loops that go through the lists of points
% that are to be interpolated. These are abbreviations, as follows:
% \begin{center}
% \begin{tabular}{ll}
% "IC" & Initialize Curve\\
% "BOC" & Begin Open Curve\\
% "NC" & Next Curve\\
% "EOC" & End Open Curve\\
% "BAC" & Begin Alternative Curve\\
% "NAC" & Next Alternative Curve\\
% "EAC" & End Alternative Curve
% \end{tabular}
% \end{center}
%    \begin{macrocode}
\pst@def{IC}<%
  /c c 1 add def
  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse
  /a a 2 mul 3 div 45 cos b exp div def
  \tx@CCA /dx 0 def /dy 0 def>
\pst@def{BOC}<%
  \tx@IC \tx@CC x2 y2 x1 y1 ArrowA
  CP 4 2 roll x y curveto>
\pst@def{NC}<\tx@CC x1 y1 x2 y2 x y curveto>
\pst@def{EOC}<%
  x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto>
\pst@def{BAC}<%
  \tx@IC \tx@CC x y moveto \tx@CC
  x1 y1 CP ArrowA>
\pst@def{NAC}<x2 y2 x y curveto \tx@CC x1 y1>
\pst@def{EAC}<x2 y2 x y ArrowB curveto pop pop>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{OpenCurve}
% Syntax:
% \begin{Ex}
%   <array of points> OpenCurve
% \end{Ex}
%    \begin{macrocode}
\pst@def{OpenCurve}<%
  \tx@NArray
  n 3 lt
  { n { pop pop } repeat }
  { \tx@BOC
    /n n 3 sub def
    n { \tx@NC } repeat
    \tx@EOC }
  ifelse>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{AltCurve}
% Syntax:
% \begin{Ex}
%   <array of points> AltCurve
% \end{Ex}
%    \begin{macrocode}
\pst@def{AltCurve}<%
  { false \tx@NArray
    n 2 mul 2 roll
    [ n 2 mul 3 sub 1 roll ]
    aload /Points ED
    n 2 mul -2 roll }
  { false \tx@NArray }
  ifelse
  n 4 lt
  { n { pop pop } repeat }
  { \tx@BAC
    /n n 4 sub def
    n { \tx@NAC } repeat
    \tx@EAC }
  ifelse>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{ClosedCurve}
% Syntax:
% \begin{Ex}
%   <array of points> ClosedCurve
% \end{Ex}
%    \begin{macrocode}
\pst@def{ClosedCurve}<%
  \tx@NArray
  n 3 lt
  { n { pop pop } repeat }
  { n 3 gt { \tx@CheckClosed } if
    6 copy n 2 mul 6 add 6 roll
    \tx@IC \tx@CC x y moveto
    n { \tx@NC } repeat
   closepath pop pop }
  ifelse>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{curvature}
%    \begin{macrocode}
\def\psset@curvature#1{%
  \edef\pst@tempg{#1 }%
  \expandafter\psset@@curvature\pst@tempg * * * \@nil}
\def\psset@@curvature#1 #2 #3 #4\@nil{%
  \pst@checknum{#1}\pst@tempg
  \pst@checknum{#2}\pst@temph
  \pst@checknum{#3}\pst@tempi
  \edef\psk@curvature{\pst@tempg \pst@temph \pst@tempi}}
\psset@curvature{1 .1 0}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pscurve}
%    \begin{macrocode}
\def\pscurve{\def\pst@par{}\pst@object{pscurve}}
\def\pscurve@i{%
  \pst@getarrows{%
    \begin@OpenObj
      \pst@getcoors[\pscurve@ii}}
\def\pscurve@ii{%
  \addto@pscode{%
    \pst@cp
    \psk@curvature\space /c ED /b ED /a ED
    \ifshowpoints true \else false \fi
    \tx@OpenCurve}%
  \end@OpenObj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psecurve}
%    \begin{macrocode}
\def\psecurve{\def\pst@par{}\pst@object{psecurve}}
\def\psecurve@i{%
  \pst@getarrows{%
    \begin@OpenObj
    \pst@getcoors[\psecurve@ii}}
\def\psecurve@ii{%
  \addto@pscode{%
    \psk@curvature\space /c ED /b ED /a ED
    \ifshowpoints true \else false \fi
    \tx@AltCurve}%
  \end@OpenObj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psccurve}
%    \begin{macrocode}
\def\psccurve{\def\pst@par{}\pst@object{psccurve}}
\def\psccurve@i{%
  \begin@ClosedObj
    \pst@getcoors[\psccurve@ii}
\def\psccurve@ii{%
  \addto@pscode{%
    \psk@curvature\space /c ED /b ED /a ED
    \ifshowpoints true \else false \fi
    \tx@ClosedCurve}%
  \def\pst@linetype{1}%
  \end@ClosedObj}
%    \end{macrocode}
% \end{macro}
% \section{Dots}
% It would be nice to use a font, with hinting.
% \begin{macro}{dotsize}
%    \begin{macrocode}
\def\psset@dotsize#1{%
  \edef\pst@tempg{#1 }%
  \expandafter\psset@@dotsize\pst@tempg -1 -1 -1\@nil}
\def\psset@@dotsize#1 #2 #3\@nil{%
  \pst@checknum{#2}\pst@tempg
  \pssetlength\pst@dimg{#1}%
  \edef\psk@dotsize{%
    /DS \pst@number\pst@dimg \pst@tempg CLW mul add 2 div def }}
\psset@dotsize{.5pt 2.5}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psset@dotscale}
%    \begin{macrocode}
\def\psset@dotscale#1{\pst@getscale{#1}\psk@dotscale}
\psset@dotscale{1}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@Getangle}
%    \begin{macrocode}
\def\pst@Getangle#1#2{%
  \pst@getangle{#1}\pst@tempg
  \def\pst@temph{0. }%
  \ifx\pst@tempg\pst@temph
    \def#2{}%
  \else
    \edef#2{\pst@tempg\space rotate }%
  \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{dotangle}
%    \begin{macrocode}
\def\psset@dotangle#1{\pst@Getangle{#1}\psk@dotangle}
\psset@dotangle{0}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psdots}
%    \begin{macrocode}
\def\psdots{\def\pst@par{}\pst@object{psdots}}
\def\psdots@i{%
  \begin@SpecialObj
    \pst@getcoors[\psdots@ii}
\def\psdots@ii{%
   \addto@pscode{false \tx@NArray \psdots@iii}%
 \end@SpecialObj}
\def\psdots@iii{%
  \psk@dotsize
  \@nameuse{psds@\psk@dotstyle}
  newpath
  n { gsave T \psk@dotangle \psk@dotscale Dot grestore } repeat}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{EndDot}
% Syntax
% \begin{LVerbatim}
%   {<fill>} {<displace>} EndDot
% \end{LVerbatim}
% "DS" should be defined to be the dot size.
%    \begin{macrocode}
\pst@def{EndDot}<%
  { /z DS def } { /z 0 def } ifelse
  /b ED
  0 z DS \tx@SD
  b { 0 z DS CLW sub \tx@SD } if
  0 DS z add CLW 4 div sub moveto>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@oo}
%    \begin{macrocode}
\def\psas@oo{{\pst@usecolor\psfillcolor true} true \psk@dotsize \tx@EndDot}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@o}
%    \begin{macrocode}
\def\psas@o{{\pst@usecolor\psfillcolor true} false \psk@dotsize \tx@EndDot}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@**}
%    \begin{macrocode}
\@namedef{psas@**}{{false} true \psk@dotsize \tx@EndDot}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psas@*}
%    \begin{macrocode}
\@namedef{psas@*}{{false} false \psk@dotsize \tx@EndDot}
%    \end{macrocode}
% \end{macro}
% \section{Lines and polygons\label{Lines}}
% \begin{macro}{linearc}
%    \begin{macrocode}
\newdimen\pslinearc
\def\psset@linearc#1{\pssetlength\pslinearc{#1}}
\psset@linearc{0pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psline}
%    \begin{macrocode}
\def\psline{\def\pst@par{}\pst@object{psline}}
\def\psline@i{%
  \pst@getarrows{%
    \begin@OpenObj
      \pst@getcoors[\psline@ii}}
\def\psline@ii{%
    \addto@pscode{\pst@cp \psline@iii \tx@Line}%
  \end@OpenObj}
\def\psline@iii{%
  \ifdim\pslinearc>\z@
    /r \pst@number\pslinearc def
    /Lineto { \tx@Arcto } def
  \else
    /Lineto /lineto load def
  \fi
  \ifshowpoints true \else false \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\qline}
%    \begin{macrocode}
\def\qline(#1)(#2){%
  \def\pst@par{}%
  \begin@SpecialObj
    \def\pst@linetype{0}%
    \pst@getcoor{#1}\pst@tempa
    \pst@@getcoor{#2}%
    \addto@pscode{%
      \pst@tempa moveto \pst@coor L
      \@nameuse{psls@\pslinestyle}}%
  \end@SpecialObj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pspolygon}
%    \begin{macrocode}
\def\pspolygon{\def\pst@par{}\pst@object{pspolygon}}
\def\pspolygon@i{%
  \begin@ClosedObj
    \def\pst@cp{}%
    \pst@getcoors[\pspolygon@ii}
\def\pspolygon@ii{%
    \addto@pscode{\psline@iii \tx@Polygon}%
    \def\pst@linetype{1}%
  \end@ClosedObj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{framearc}
%    \begin{macrocode}
\def\psset@framearc#1{\pst@checknum{#1}\psk@framearc}
\psset@framearc{0}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{cornersize}
%    \begin{macrocode}
\def\psset@cornersize#1{%
  \pst@expandafter\psset@@cornersize{#1}\@nil}
\def\psset@@cornersize#1#2\@nil{%
  \if #1a\relax
    \def\psk@cornersize{\pst@number\pslinearc false }%
  \else
    \def\psk@cornersize{\psk@framearc true }%
  \fi}
\psset@cornersize{relative}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{Frame}
% Syntax
% \begin{Ex}
%   <framearc/linearc bool x1 y1 x2 y2 dimen> "Frame"
% \end{Ex}
%    \begin{macrocode}
\pst@def{Rect}<%
  x1 y1 y2 add 2 div moveto
  x1 y2 lineto
  x2 y2 lineto
  x2 y1 lineto
  x1 y1 lineto
  closepath>
\pst@def{OvalFrame}<%
  x1 x2 eq y1 y2 eq or
  { pop pop x1 y1 moveto x2 y2 L }
  { y1 y2 sub abs x1 x2 sub abs
    2 copy gt { exch pop } { pop } ifelse
    2 div
    exch   % STACK: cornersize halfwidth boolean
    { dup 3 1 roll mul exch }
    if
    2 copy lt { pop } { exch pop } ifelse
    /b ED
    x1 y1 y2 add 2 div moveto
    x1 y2 x2 y2 b arcto
    x2 y2 x2 y1 b arcto
    x2 y1 x1 y1 b arcto
    x1 y1 x1 y2 b arcto
    16 { pop } repeat
    closepath }
  ifelse>
\pst@def{Frame}<%
  CLW mul /a ED
  3 -1 roll 2 copy gt { exch } if
  a sub /y2 ED a add /y1 ED
  2 copy gt { exch } if
  a sub /x2 ED a add /x1 ED
  1 index 0 eq { pop pop \tx@Rect } { \tx@OvalFrame } ifelse>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{dimen}
%    \begin{macrocode}
\def\psset@dimen#1{%
  \pst@expandafter\psset@@dimen{#1}\@nil}
\def\psset@@dimen#1#2\@nil{%
  \if #1o\relax
    \def\psk@dimen{.5 }%
  \else
    \if #1m\relax
      \def\psk@dimen{0 }%
    \else
      \if #1i\relax
        \def\psk@dimen{-.5 }%
      \fi
    \fi
  \fi}
\psset@dimen{outer}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psframe}
%    \begin{macrocode}
\def\psframe{\def\pst@par{}\pst@object{psframe}}
\def\psframe@i(#1){%
  \@ifnextchar({\psframe@ii(#1)}{\psframe@ii(0,0)(#1)}}
\def\psframe@ii(#1)(#2){%
  \begin@ClosedObj
    \pst@getcoor{#1}\pst@tempa
    \pst@@getcoor{#2}%
    \addto@pscode{\psk@cornersize \pst@tempa \pst@coor \psk@dimen \tx@Frame}%
    \def\pst@linetype{2}%
    \showpointsfalse
  \end@ClosedObj}
%    \end{macrocode}
% \end{macro}
% \section{Curves}
% \begin{macro}{\psbezier}
%    \begin{macrocode}
\def\psbezier{\def\pst@par{}\pst@object{psbezier}}
\def\psbezier@i{\pst@getarrows\psbezier@ii}
\def\psbezier@ii#1(#2)#3(#4)#5(#6){%
  \@ifnextchar({\psbezier@iii{1}(#2)(#4)(#6)}%
    {\psbezier@iii{\z@}(0,0)(#2)(#4)(#6)}}
\def\psbezier@iii#1(#2)(#3)(#4)(#5){%
  \begin@OpenObj
  \pst@getcoor{#2}\pst@tempa
  \pst@getcoor{#3}\pst@tempb
  \pst@getcoor{#4}\pst@tempc
  \pst@getcoor{#5}\pst@tempd
  \pst@optcp{#1}\pst@tempa
  \ifshowpoints\psbezier@iv\fi
  \addto@pscode{
    \pst@tempb \pst@tempa ArrowA
    \pst@tempc \pst@tempd ArrowB
    curveto}%
  \end@OpenObj}
\def\psbezier@iv{%
  \addto@pscode{%
    gsave
      \pst@tempa \pst@tempb \pst@tempc \pst@tempd
       newpath moveto L L L
       CLW 2 div SLW
       [ \psk@dash\space ] 0 setdash stroke
    grestore
    /Points [\pst@tempa\pst@tempb\pst@tempc\pst@tempd] def}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\parabola}
%    \begin{macrocode}
\pst@def{Parab}<%
  /y0 exch def
  /x0 exch def
  /y1 exch def
  /x1 exch def
  /dx x0 x1 sub 3 div def
  /dy y0 y1 sub 3 div def
  x0 dx sub y0 dy add x1 y1 ArrowA
  x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB
  curveto
  /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def>
\def\parabola{\def\pst@par{}\pst@object{parabola}}
\def\parabola@i{\pst@getarrows\parabola@ii}
\def\parabola@ii#1(#2)#3(#4){%
  \begin@OpenObj
    \pst@getcoor{#2}\pst@tempa
    \pst@@getcoor{#4}%
    \addto@pscode{\pst@tempa \pst@coor \tx@Parab}%
  \end@OpenObj}
%    \end{macrocode}
% \end{macro}
% \section{Grids\label{Grids}}
% \begin{macro}{gridwidth}
%    \begin{macrocode}
\def\psset@gridwidth#1{\pst@getlength{#1}\psk@gridwidth}
\psset@gridwidth{.8pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{griddots}
%    \begin{macrocode}
\def\psset@griddots#1{%
  \pst@cntg=#1\relax
  \edef\psk@griddots{\the\pst@cntg}}
\psset@griddots{0}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{gridcolor}
%    \begin{macrocode}
\def\psset@gridcolor#1{\pst@getcolor{#1}\psgridcolor}
\psset@gridcolor{black}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{subgridwidth}
%    \begin{macrocode}
\def\psset@subgridwidth#1{\pst@getlength{#1}\psk@subgridwidth}
\psset@subgridwidth{.4pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{subgridcolor}
%    \begin{macrocode}
\def\psset@subgridcolor#1{\pst@getcolor{#1}\pssubgridcolor}
\psset@subgridcolor{gray}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{subgriddots}
%    \begin{macrocode}
\def\psset@subgriddots#1{%
  \pst@cntg=#1\relax\edef\psk@subgriddots{\the\pst@cntg}}
\psset@subgriddots{0}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{subgriddiv}
%    \begin{macrocode}
\def\psset@subgriddiv#1{%
  \pst@cntg=#1\relax\edef\psk@subgriddiv{\the\pst@cntg}}
\psset@subgriddiv{5}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{gridlabels}
%    \begin{macrocode}
\def\psset@gridlabels#1{\pst@getlength{#1}\psk@gridlabels}
\psset@gridlabels{10pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{gridlabelcolor}
%    \begin{macrocode}
\def\psset@gridlabelcolor#1{\pst@getcolor{#1}\psgridlabelcolor}
\psset@gridlabelcolor{black}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{Grid}
% Syntax:
% \begin{Ex}
%   <x1 y1 x2 y2 x-origin y-origin x-divsize y-divsize>\\
%   <numsubdiv griddots labelcolor labelsize> "Grid"
% \end{Ex}
% Coordinates should all be integers. Font needs to be defined before invoking
% this procedure. This could probably be simplified.
%    \begin{macrocode}
\pst@def{Grid}<%
  /a 4 string def            % Empty string
  /b ED                      % Label size
  /d ED                      % Label color procedure.
  /n ED                      % Number of grid dots
  cvi dup 1 lt { pop 1 } if /c ED   % Number subdivisions
  c div dup 0 eq { pop 1 } if /cy ED
  c div dup 0 eq { pop 1 } if /cx ED  % division spacing
  cy div cvi /y ED     % origin y
  cx div cvi /x ED     % origin x
  cy div cvi /y2 ED    % y2
  cx div cvi /x2 ED    % x2
  cy div cvi /y1 ED    % y1
  cx div cvi /x1 ED    % x1
  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def  % Sign of y2-y1
  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def  % Sign of x2-x1
  b 0 gt
  { /z1 b 4 div CLW 2 div add def
    /Helvetica findfont b scalefont setfont
    /b b .95 mul CLW 2 div add def }
  gsave
  n 0 gt
  { 1 setlinecap [ 0 cy n div ] 0 setdash }
  { 2 setlinecap }
  ifelse
  /c x1 def /i 500 w mul x1 add def        % Index
  /e y cy mul def /f y1 cy mul def /g y2 cy mul def
  x1 cx mul 0 T
  { newpath
    0 e moveto
    b 0 gt
    { gsave d c a cvs dup
      stringwidth pop /z2 ED
      w 0 gt {z1} {z1 z2 add neg} ifelse
      h 0 gt {b neg} {z1} ifelse
      rmoveto show grestore } if
    0 f moveto 0 g L stroke
    cx w mul 0 T
    c x2 eq c i eq or {exit} if
    /c c w add def
  } loop
  grestore
  gsave
  n 0 gt
  { 1 setlinecap [ 0 cx n div ] 0 setdash }
  { 2 setlinecap }
  ifelse
  /c y1 def /i 500 h mul y1 add def
  /e x cx mul def /f x1 cx mul def /g x2 cx mul def
  0 y1 cy mul T
  { newpath
    e 0 moveto
    b 0 gt { gsave d
      c a cvs dup
      stringwidth pop /z2 ED
      w 0 gt {z1 z2 add neg} {z1} ifelse
      h 0 gt {z1} {b neg} ifelse
      rmoveto show grestore } if
    f 0 moveto g 0 L stroke
    0 cy h mul T
    c y2 eq c i eq or {exit} if
    /c c h add def
  } loop
  grestore>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psgrid}
%    \begin{macrocode}
\def\psgrid{\def\pst@par{}\pst@object{psgrid}}
\def\psgrid@i{\@ifnextchar(%
  {\psgrid@ii}{\expandafter\psgrid@iv\pic@coor}}
\def\psgrid@ii(#1){\@ifnextchar(%
  {\psgrid@iii(#1)}{\psgrid@iv(0,0)(0,0)(#1)}}
\def\psgrid@iii(#1)(#2){\@ifnextchar(%
  {\psgrid@iv(#1)(#2)}{\psgrid@iv(#1)(#1)(#2)}}
\def\psgrid@iv(#1)(#2)(#3){%
  \begin@SpecialObj
  \pst@getcoor{#1}\pst@tempa
  \pst@getcoor{#2}\pst@tempb
  \pst@@getcoor{#3}%
  \ifnum\psk@subgriddiv>1
    \addto@pscode{gsave
    \psk@subgridwidth SLW \pst@usecolor\pssubgridcolor
    \pst@tempb \pst@coor \pst@tempa
    \pst@number\psxunit \pst@number\psyunit
    \psk@subgriddiv\space \psk@subgriddots\space
    {} 0 \tx@Grid grestore}%
  \fi
  \addto@pscode{gsave
    \psk@gridwidth SLW \pst@usecolor\psgridcolor
    \pst@tempb \pst@coor \pst@tempa
    \pst@number\psxunit \pst@number\psyunit
    1 \psk@griddots\space { \pst@usecolor\psgridlabelcolor }
    \psk@gridlabels \tx@Grid grestore}%
  \end@SpecialObj}
%    \end{macrocode}
% \end{macro}
% \section{LR-box commands}
% \begin{macro}{\ifpsmathbox,\everypsbox}
%    \begin{macrocode}
\newif\ifpsmathbox
\psmathboxtrue
\def\pst@mathflag{\z@}
\newtoks\everypsbox
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@makenotverbbox}
%    \begin{macrocode}
\long\def\pst@makenotverbbox#1#2{%
  \edef\pst@mathflag{%
    \ifpsmathbox\ifmmode\ifinner 1\else 2\fi\else \z@\fi\else \z@\fi}%
  \setbox\pst@hbox=\hbox{%
    \ifcase\pst@mathflag\or$\m@th\textstyle\or$\m@th\displaystyle\fi
    {\the\everypsbox#2}%
    \ifnum\pst@mathflag>\z@$\fi}%
  #1}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@makeverbbox}
% There is no way to do this such that with
% \begin{LVerbatim}
%   \psframebox{\aftergroup\foo}
% \end{LVerbatim}
% "\foo" does not end up outside the box. That is why this is not the default
% mode.
%    \begin{macrocode}
\def\pst@makeverbbox#1{%
  \def\pst@afterbox{#1}%
  \edef\pst@mathflag{%
    \ifpsmathbox\ifmmode\ifinner 1\else 2\fi\else \z@\fi\else \z@\fi}%
  \afterassignment\pst@beginbox
  \setbox\pst@hbox\hbox}
\def\pst@beginbox{%
  \ifcase\pst@mathflag\or$\m@th\or$\m@th\displaystyle\fi
  \bgroup\aftergroup\pst@endbox
  \the\everypsbox}
\def\pst@endbox{%
  \ifnum\pst@mathflag>\z@$\fi
  \egroup
  \pst@afterbox}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psverbboxtrue,\psverbboxfalse}
%    \begin{macrocode}
\def\pst@makebox{\pst@@makebox}
\def\psverbboxtrue{\def\pst@@makebox{\pst@makeverbbox}}
\def\psverbboxfalse{\def\pst@@makebox{\pst@makenotverbbox}}
\psverbboxfalse
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@longbox,\pst@makelongbox}
% There is no way to do this such that with
% \begin{LVerbatim}
%   \psframebox{\aftergroup\foo}
% \end{LVerbatim}
% "\foo" does not end up outside the box. That is why this is not the default
% mode.
%    \begin{macrocode}
\def\pst@longbox{%
  \def\pst@makebox{%
    \gdef\pst@makebox{\pst@@makebox}%
    \pst@makelongbox}}
\def\pst@makelongbox#1{%
  \def\pst@afterbox{#1}%
  \edef\pst@mathflag{%
    \ifpsmathbox\ifmmode\ifinner 1\else 2\fi\else \z@\fi\else \z@\fi}%
  \setbox\pst@hbox\hbox\bgroup
    \aftergroup\pst@afterbox
    \ifcase\pst@mathflag\or$\m@th\or$\m@th\displaystyle\fi
    \begingroup
      \the\everypsbox}
\def\pst@endlongbox{%
     \endgroup
     \ifnum\pst@mathflag>\z@$\fi
   \egroup}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pslongbox}
%    \begin{macrocode}
\def\pslongbox#1#2{%
  \@namedef{#1}{\pst@longbox#2}%
  \@namedef{end#1}{\pst@endlongbox}}
%    \end{macrocode}
% \end{macro}
% \section{Frame boxes\label{Frameboxes}}
% \begin{macro}{framesep}
%    \begin{macrocode}
\newdimen\psframesep
\def\psset@framesep#1{\pssetlength\psframesep{#1}}
\psset@framesep{3pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{boxsep}
%    \begin{macrocode}
\newif\ifpsboxsep
\def\psset@boxsep#1{\@nameuse{psboxsep#1}}
\psset@boxsep{true}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@useboxpar}
%    \begin{macrocode}
\def\pst@useboxpar{%
  \use@par
  \if@star
    \let\pslinecolor\psfillcolor
    \solid@star
    \let\solid@star\relax
  \fi
  \ifpsdoubleline \pst@setdoublesep \fi}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psframebox}
% "\psframebox" puts its argument in an "\hbox" and draws a frame around it
% with thickness "\pst@linewidth", and with distance "\pst@framesep" between
% each side of the frame (between the line making up each side) and each side
% of the box. The result is a box with no depth and with width and height
% equal to the width and height of the original box, plus
% 2("\pslinewidth"+"\psframesep").
% "\pst@dima" is set to the distance between each side of the original box and
% the outer side of the frame (i.e., the side of the resulting box).
% "\pst@dimb" is set to the depth of the resulting box, "\pst@dimc" is set to
% the height plus depth of this box, and "\pst@dimd" is set to the width.
% "\psframe" does the drawing of the frame.
%    \begin{macrocode}
\def\psframebox{\def\pst@par{}\pst@object{psframebox}}
\def\psframebox@i{\pst@makebox\psframebox@ii}
\def\psframebox@ii{%
  \begingroup
    \pst@useboxpar
    \pst@dima=\pslinewidth
    \advance\pst@dima by \psframesep
    \pst@dimc=\wd\pst@hbox\advance\pst@dimc by \pst@dima
    \pst@dimb=\dp\pst@hbox\advance\pst@dimb by \pst@dima
    \pst@dimd=\ht\pst@hbox\advance\pst@dimd by \pst@dima
    \setbox\pst@hbox=\hbox{%
      \ifpsboxsep\kern\pst@dima\fi
      \begin@ClosedObj
        \addto@pscode{%
          \psk@cornersize
          \pst@number\pst@dima neg
          \pst@number\pst@dimb neg
          \pst@number\pst@dimc
          \pst@number\pst@dimd
          .5
          \tx@Frame}%
        \def\pst@linetype{2}%
        \showpointsfalse
      \end@ClosedObj
      \box\pst@hbox
      \ifpsboxsep\kern\pst@dima\fi}%
    \ifpsboxsep\dp\pst@hbox=\pst@dimb\ht\pst@hbox=\pst@dimd\fi
    \leavevmode\box\pst@hbox
  \endgroup}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psdblframebox}
%    \begin{macrocode}
\def\psdblframebox{\def\pst@par{}\pst@object{psdblframebox}}
\def\psdblframebox@i{\addto@par{doubleline=true}\psframebox@i}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psclip,\endclip}
% Clipping involves drawing graphics objects, not grouped by "gsave" and
% "grestore", which may affect the graphics environment. Furthermore, to reset
% the clipping path, we must either use "grestore" or "initclip", neither of
% which is robust.
%    \begin{macrocode}
\def\psclip#1{%
  \leavevmode
  \begingroup
    \begin@psclip
    \begingroup
      \def\use@pscode{%
        \pstVerb{%
          \pst@dict
            /mtrxc CM def
            CP CP T
            \tx@STV
            \psk@origin
            \psk@swapaxes
            newpath
            \pst@code
            clip
            newpath
            mtrxc setmatrix
            moveto
            0 setgray
          end}%
        \gdef\pst@code{}}%
        \def\@multips(##1)(##2)##3##4{\pst@misplaced\multips}%
        \def\nc@object##1##2##3##4{\pst@misplaced{node connection}}%
        \hbox to\z@{#1}%
    \endgroup
  \def\endpsclip{%
    \end@psclip
    \endgroup}%
  \ignorespaces}
\def\endpsclip{\pst@misplaced\endpsclip}
\let\begin@psclip\relax
\def\end@psclip{\pstVerb{currentpoint initclip moveto}}
\def\AltClipMode{%
  \def\end@psclip{\pstVerb{\pst@grestore}}%
  \def\begin@psclip{\pstVerb{gsave}}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psclipbox}
%    \begin{macrocode}
\def\clipbox{\@ifnextchar[{\psclipbox@}{psclipbox@[\z@]}}
\def\clipbox@[#1]{\pst@makebox\psclipbox@@{#1}}
\def\clipbox@@#1{%
  \pssetlength\pst@dimg{#1}%
  \leavevmode\hbox{%
    \begin@psclip
    \pst@Verb{%
      CM \tx@STV CP T newpath
      /a \pst@number\pst@dimg def
      /w \pst@number{\wd\pst@hbox}a add def
      /d \pst@number{\dp\pst@hbox}a add neg def
      /h \pst@number{\ht\pst@hbox}a add def
      a neg d moveto
      a neg h L
      w h L
      w d L
      closepath
      clip
      newpath
      0 0 moveto
      setmatrix}%
    \unhbox\pst@hbox
    \end@psclip}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psshadowbox}
%    \begin{macrocode}
\def\psshadowbox{%
  \def\pst@par{}\pst@object{psshadowbox}}
\def\psshadowbox@i{\pst@makebox\psshadowbox@ii}
\def\psshadowbox@ii{%
  \begingroup
    \pst@useboxpar
    \psshadowtrue
    \psboxseptrue
    \def\psk@shadowangle{-45 }%
    \setbox\pst@hbox=\hbox{\psframebox@ii}%
    \pst@dimh=\psk@shadowsize\p@
    \pst@dimh=.7071\pst@dimh
    \pst@dimg=\dp\pst@hbox
    \advance\pst@dimg\pst@dimh
    \dp\pst@hbox=\pst@dimg
    \pst@dimg=\wd\pst@hbox
    \advance\pst@dimg\pst@dimh
    \wd\pst@hbox=\pst@dimg
    \leavevmode
    \box\pst@hbox
  \endgroup}
% \begin{macro}{\pscirclebox}
% "\pscirclebox@ii"'s argument is a hook that is used by node commands.
%    \begin{macrocode}
\def\pscirclebox{\def\pst@par{}\pst@object{pscirclebox}}
\def\pscirclebox@i{\pst@makebox{\pscirclebox@ii{}}}
\def\pscirclebox@ii#1{%
  \begingroup
    \pst@useboxpar
    \setbox\pst@hbox=\hbox{#1\pscirclebox@iii\box\pst@hbox}%
    \ifpsboxsep
      \pst@dima=.5\wd\pst@hbox
      \pst@pyth\pst@dima\pst@dimb\pst@dimc
      \advance\pst@dimc\pslinewidth
      \advance\pst@dimc\psframesep
      \setbox\pst@hbox=\hbox to2\pst@dimc{%
        \hss
        \vbox{\vskip\pst@dimc\vskip-\pst@dimb\box\pst@hbox}%
        \hss}%
      \advance\pst@dimc-\pst@dimb
      \dp\pst@hbox=\pst@dimc
    \fi
    \leavevmode\box\pst@hbox
  \endgroup}
\def\pscirclebox@iii{%
  \if@star
    \pslinewidth\z@
    \pstverb{\pst@dict \tx@STP \pst@usecolor\psfillcolor
      newpath \pscirclebox@iv \tx@SD end}%
  \else
    \begin@ClosedObj
    \def\pst@linetype{4}\showpointsfalse
    \addto@pscode{%
      \pscirclebox@iv CLW 2 div add 0 360 arc closepath}%
    \end@ClosedObj
  \fi}
\def\pscirclebox@iv{%
  \pst@number{\wd\pst@hbox}2 div
  \pst@number{\ht\pst@hbox}\pst@number{\dp\pst@hbox}add 2 div
  2 copy \pst@number{\dp\pst@hbox}sub 4 2 roll
  \tx@Pyth \pst@number\psframesep add }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psovalbox}
% The argument of "\psovalbox@ii" is a hook used by node commands.
%    \begin{macrocode}
\def\psovalbox{\def\pst@par{}\pst@object{psovalbox}}
\def\psovalbox@i{\pst@makebox{\psovalbox@ii{}}}
\def\psovalbox@ii#1{%
  \begingroup
    \pst@useboxpar
    \pst@dimd=.707\pslinewidth\advance\pst@dimd by 1.414\psframesep
    \pst@dimg=\ht\pst@hbox\advance\pst@dimg\dp\pst@hbox
    \pst@dimb=.707\pst@dimg\advance\pst@dimb\pst@dimd
    \pst@dima=.707\wd\pst@hbox\advance\pst@dima\pst@dimd
    \setbox\pst@hbox=\hbox{#1\psovalbox@iii\box\pst@hbox}%
    \ifpsboxsep
      \setbox\pst@hbox\hbox to 2\pst@dima{\hss\unhbox\pst@hbox\hss}%
      \advance\pst@dimb-.5\pst@dimg
      \pst@dimg\ht\pst@hbox
      \advance\pst@dimg\pst@dimb
      \ht\pst@hbox=\pst@dimb
      \pst@dimg=\dp\pst@hbox
      \advance\pst@dimg\pst@dimb
      \dp\pst@hbox=\pst@dimb
    \fi
    \leavevmode\box\pst@hbox
  \endgroup}
\def\psovalbox@iii{%
  \begin@ClosedObj
  \addto@pscode{%
     0 360
     \pst@number\pst@dima \pst@number\pst@dimb
     \pst@number{\wd\pst@hbox}2 div
     \pst@number\pst@dimg 2 div \pst@number{\dp\pst@hbox}sub
     \tx@Ellipse
     closepath}%
  \def\pst@linetype{2}%
  \end@ClosedObj}
%    \end{macrocode}
% \end{macro}
% \section{Circles, discs and ellipses\label{Circles}}
% \begin{macro}{\psset@arcsep,\psk@arcsepA,\psk@arcsepB}
%    \begin{macrocode}
\def\psset@arcsepA#1{\pst@getlength{#1}\psk@arcsepA}
\def\psset@arcsepB#1{\pst@getlength{#1}\psk@arcsepB}
\def\psset@arcsep#1{%
  \psset@arcsepA{#1}\let\psk@arcsepB\psk@arcsepA}
\psset@arcsep{0}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@Arc}
% Syntax:
% \begin{LVerbatim}
%   <angle> {<arrow>} {<add/sub>} ArcArrow <angle>
% \end{LVerbatim}
% "r"=radius and "c"=57.2957/"r" should also be defined.
%    \begin{macrocode}
\pst@def{ArcArrow}<%
  /d ED     % add/sub
  /b ED     % arrow procedure
  /a ED     % angle
  gsave
    newpath
    0 -1000 moveto
    clip              % Set clippath far from arrow.
    newpath
    0 1 0 0 b         % Draw arrow to determine length.
  grestore
  c mul
  /e ED               % /e equals angle to adjust for arrow length.
  pop pop pop
  r a e d \tx@PtoC    % `a e d' is end angle for arrow.
  y add exch x add exch
  r a \tx@PtoC        % Now arrow end coor and begin coor are on stack.
  y add exch x add exch
  b pop pop pop pop   % Draw arrow, and discard coordinates.
  a e d                   % End angle of arrow.
  CLW 8 div c mul neg d>  % Adjust angle to give a little overlap.
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psarc}
%    \begin{macrocode}
\def\psarc{\def\pst@par{}\pst@object{psarc}}
\def\psarc@i{%
  \@ifnextchar({\psarc@iii}{\psarc@ii}}
\def\psarc@ii#1{\addto@par{arrows=#1}%
  \@ifnextchar({\psarc@iii}{\psarc@iii(0,0)}}
\def\psarc@iii(#1)#2#3#4{%
  \begin@OpenObj
    \pst@getangle{#3}\pst@tempa
    \pst@getangle{#4}\pst@tempb
    \pst@@getcoor{#1}%
    \pssetlength\pst@dima{#2}%
    \addto@pscode{\psarc@iv \psarc@v}%
    \gdef\psarc@type{0}%
    \showpointsfalse
  \end@OpenObj}
\def\psarc@iv{%
  \pst@coor /y ED /x ED
  /r \pst@number\pst@dima def
  /c 57.2957 r \tx@Div def
  /angleA
    \pst@tempa
    \psk@arcsepA c mul 2 div
    \ifcase \psarc@type add \or sub \fi
  def
  /angleB
    \pst@tempb
    \psk@arcsepB c mul 2 div
    \ifcase \psarc@type sub \or add \fi
  def
  \ifshowpoints\psarc@showpoints\fi
  \ifx\psk@arrowA\@empty
    \ifnum\psk@liftpen=2
      r angleA \tx@PtoC
      y add exch x add exch
      moveto
    \fi
  \fi}
\def\psarc@v{%
  x y r
  angleA
  \ifx\psk@arrowA\@empty\else
    { ArrowA CP }
    { \ifcase\psarc@type add \or sub \fi }
    \tx@ArcArrow
  \fi
  angleB
  \ifx\psk@arrowB\@empty\else
    { ArrowB }
    { \ifcase\psarc@type sub \or add \fi }
    \tx@ArcArrow
  \fi
  \ifcase\psarc@type arc \or arcn \fi}
\def\psarc@type{0}
\def\psarc@showpoints{%
  gsave
    newpath
    x y moveto
    x y r \pst@tempa \pst@tempb
    \ifcase\psarc@type arc \or arcn \fi
    closepath
    CLW 2 div SLW
    [ \psk@dash\space ] 0 setdash stroke
  grestore }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psarcn}
%    \begin{macrocode}
\def\psarcn{\def\pst@par{}\pst@object{psarcn}}
\def\psarcn@i{\def\psarc@type{1}\psarc@i}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pscircle}
%    \begin{macrocode}
\def\pscircle{\def\pst@par{}\pst@object{pscircle}}
\def\pscircle@i{\@ifnextchar({\pscircle@do}{\pscircle@do(0,0)}}
\def\pscircle@do(#1)#2{%
  \if@star
    {\use@par\qdisk(#1){#2}}%
  \else
    \begin@ClosedObj
      \pst@@getcoor{#1}%
      \pssetlength\pst@dimc{#2}%
      \def\pst@linetype{4}%
      \addto@pscode{%
        \pst@coor
        \pst@number\pst@dimc
        \psk@dimen CLW mul sub
        0 360 arc
        closepath}%
      \showpointsfalse
    \end@ClosedObj
  \fi
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\qdisk}
%    \begin{macrocode}
\def\qdisk(#1)#2{%
  \def\pst@par{}%
  \begin@SpecialObj
    \pst@@getcoor{#1}%
    \pssetlength\pst@dimg{#2}%
    \addto@pscode{\pst@coor \pst@number\pst@dimg \tx@SD}%
  \end@SpecialObj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pswedge}
%    \begin{macrocode}
\def\pswedge{\def\pst@par{}\pst@object{pswedge}}
\def\pswedge@i{\@ifnextchar({\pswedge@ii}{\pswedge@ii(0,0)}}
\def\pswedge@ii(#1)#2#3#4{%
  \begin@ClosedObj
  \pssetlength\pst@dimc{#2}
  \pst@getangle{#3}\pst@tempa
  \pst@getangle{#4}\pst@tempb
  \pst@@getcoor{#1}%
  \def\pst@linetype{1}%
  \addto@pscode{%
    \pst@coor
    2 copy
    moveto
    \pst@number\pst@dimc \psk@dimen CLW mul sub % Adjusted radius
    \pst@tempa \pst@tempb
    arc
    closepath}%
    \showpointsfalse
  \end@ClosedObj}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{Ellipse}
% Syntax:
% \begin{Ex}
%   <angle1 angle2 x-radius y-radius x-origin y-origin> "Ellipse"
% \end{Ex}
%    \begin{macrocode}
\pst@def{Ellipse}<%
  /mtrx CM def
  scale
  0 0 1 5 3 roll arc
  mtrx setmatrix>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\psellipse}
%    \begin{macrocode}
\def\psellipse{\def\pst@par{}\pst@object{psellipse}}
\def\psellipse@i(#1){\@ifnextchar(%
  {\psellipse@ii(#1)}{\psellipse@ii(0,0)(#1)}}
\def\psellipse@ii(#1)(#2){%
  \begin@ClosedObj
    \pst@getcoor{#1}\pst@tempa
    \pst@@getcoor{#2}%
    \addto@pscode{%
      0 360
      \pst@coor
      \ifdim\psk@dimen\p@=\z@\else
        \psk@dimen CLW mul dup 3 1 roll
        sub 3 1 roll sub exch
      \fi
      \pst@tempa
      \tx@Ellipse
      closepath}%
    \def\pst@linetype{2}%
  \end@ClosedObj}
%    \end{macrocode}
% \end{macro}
% \section{Repetition}
% \begin{macro}{\multirput}
%    \begin{macrocode}
\def\multirput{%
  \begingroup\pst@getref{\pst@getrputrot\multirput@i}}
\def\multirput@i(#1){\@ifnextchar(%
  {\multirput@ii(#1)}{\multirput@ii(0,0)(#1)}}
\def\multirput@ii(#1,#2)(#3,#4)#5{%
  \pst@makebox{\multirput@iii(#1,#2)(#3,#4){#5}}}
\def\multirput@iii(#1,#2)(#3,#4)#5{%
  \pst@makesmall\pst@hbox
  \ifx\pst@rot\@empty\else\pst@rotate\pst@hbox\fi
  \pssetxlength\pst@dima{#1}\pssetylength\pst@dimb{#2}
  \pssetxlength\pst@dimc{#3}\pssetylength\pst@dimd{#4}
  \pst@cntg=#5\relax\pst@cnth=0\relax
  \leavevmode
  \loop\ifnum\pst@cntg>\pst@cnth
    \vbox to \z@{\vss\hbox to \z@{%
      \kern\pst@dima\copy\pst@hbox\hss}\vskip\pst@dimb}%
    \advance\pst@dima by\pst@dimc
    \advance\pst@dimb by\pst@dimd
    \advance\pst@cnth by 1
  \repeat
  \endgroup\ignorespaces}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\multips}
%    \begin{macrocode}
\def\multips{\begingroup\pst@getrputrot\multips@i}
\def\multips@i(#1){\@ifnextchar({\@multips@ii(#1)}{\@multips@ii(0,0)(#1)}}
\def\@multips@ii(#1)(#2)#3#4{%
    \pst@getcoor{#1}\pst@tempa
    \pst@@getcoor{#2}%
    \pst@cnta=#3\relax
    \addto@pscode{%
      \pst@tempa T \the\pst@cnta\space \pslbrace
      gsave \ifx\pst@rot\@empty\else\pst@rot rotate \fi }%
    \hbox to\z@{%
      \def\init@pscode{%
        \addto@pscode{%
          gsave
          \pst@number\pslinewidth SLW
          \pst@usecolor\pslinecolor}}%
      \def\use@pscode{\addto@pscode{grestore}}%
      \def\psclip##1{\pst@misplaced\psclip}%
      \def\nc@object##1##2##3##4{\pst@misplaced{node connection}}%
      #4}%
    \addto@pscode{grestore \pst@coor T \psrbrace repeat}%
    \leavevmode
    \use@pscode
  \endgroup
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
% \section{Scaling\label{Scaling}}
% \begin{macro}{\scalebox}
%    \begin{macrocode}
\def\scalebox#1{%
  \begingroup
    \pst@getscale{#1}\pst@tempa
    \pst@makebox{\@scalebox}}
\def\@scalebox{%
    \leavevmode
    \ifx\pst@tempa\@empty
      \box\pst@hbox
    \else
      \hbox{%
        \ht\pst@hbox=\pst@temph\ht\pst@hbox%
        \dp\pst@hbox=\pst@temph\dp\pst@hbox%
        \pst@dima=\pst@tempg\wd\pst@hbox%
        \ifdim\pst@dima<\z@\kern-\pst@dima\fi
        \pst@Verb{CP CP T \pst@tempa \tx@NET}%
        \hbox to \z@{\box\pst@hbox\hss}%
        \pst@Verb{%
          CP CP T
          1 \pst@tempg\space div 1 \pst@temph\space div scale
          \tx@NET}%
        \ifdim\pst@dima>\z@\kern\pst@dima\fi}%
    \fi
  \endgroup}
\pslongbox{Scalebox}{\scalebox}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\scaleboxto}
%    \begin{macrocode}
\def\scaleboxto(#1,#2){%
  \begingroup
    \pssetlength\pst@dima{#1}%
    \pssetlength\pst@dimb{#2}%
    \pst@makebox{\@scaleboxto\@scalebox}}
\def\@scaleboxto{%
    \ifdim\pst@dima=\z@\else
      \pst@divide{\pst@dima}{\wd\pst@hbox}\pst@tempg
    \fi
    \ifdim\pst@dimb=\z@
      \let\pst@temph\pst@tempg
    \else
      \pst@dimc=\ht\pst@hbox\advance\pst@dimc\dp\pst@hbox
      \pst@divide{\pst@dimb}{\pst@dimc}\pst@temph
      \ifdim\pst@dima=\z@\let\pst@tempg\pst@temph\fi
    \fi
    \edef\pst@tempa{\pst@tempg\space\pst@temph\space scale }%
    \ifdim\pst@dima=\z@
      \ifdim\pst@dimb=\z@
        \@pstrickserr{%
          \string\scaleboxto\space dimensions cannot both be zero}\@ehpa
        \def\pst@tempa{}%
    \fi\fi}
\pslongbox{Scaleboxto}{\scaleboxto}
%    \end{macrocode}
% \end{macro}
% \section{Rotation: The simple version\label{Rotation:simple}}
% \begin{macro}{\tx@Rot}
%    \begin{macrocode}
\pst@def{Rot}<\pstrotate>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\rotateleft,\rotateright,\rotatedown}
% These are pretty standard, except that they do not use "gsave" and
% "grestore".
%    \begin{macrocode}
\def\rotateleft{\pst@makebox{\@rotateleft\pst@hbox}}
\def\@rotateleft#1{%
  \leavevmode\hbox{\hskip\ht#1\hskip\dp#1\vbox{\vskip\wd#1%
  \pst@Verb{90 \tx@Rot}
  \vbox to \z@{\vss\hbox to \z@{\box#1\hss}\vskip\z@}%
  \pst@Verb{-90 \tx@Rot}}}}
\def\rotateright{\pst@makebox{\@rotateright\pst@hbox}}
\def\@rotateright#1{%
  \hbox{\hskip\ht#1\hskip\dp#1\vbox{\vskip\wd#1%
  \pst@Verb{-90 \tx@Rot}
  \vbox to \z@{\hbox to \z@{\hss\box#1}\vss}%
  \pst@Verb{90 \tx@Rot}}}}
\def\rotatedown{\pst@makebox{\@rotatedown\pst@hbox}}
\def\@rotatedown#1{%
  \hbox{\hskip\wd#1\vbox{\vskip\ht#1\vskip\dp#1%
  \pst@Verb{180 \tx@Rot}%
  \vbox to \z@{\hbox to \z@{\box#1\hss}\vss}%
  \pst@Verb{-180 \tx@Rot}}}}
\pslongbox{Rotateleft}{\rotateleft}
\pslongbox{Rotateright}{\rotateright}
\pslongbox{Rotatedown}{\rotatedown}
%    \end{macrocode}
% \end{macro}
% \section{{\tt\Backslash rput} and company}
% \n\rput\ and similar commands are divided into fours steps:
% \begin{enumerate}
%   \item The four arguments are collected:
%     \begin{enumerate}
% \item The reference point argument is stored in \n\refpoint@x\ and
% \n\refpoint@y.
%       \item The rotation angle is store in \n\pst@rot.
% \item The translation coordinate is passed to the command that is returned
% to after the box is made.
%       \item The RH-box is assigned to the register \n\pst@hbox.
%     \end{enumerate}
% \item The box is made zero-dimension and positioned at the reference point
% by \n\pst@makesmall.
%   \item The box is rotated by \n\pst@rotate.
%   \item The box is translated by \n\psput@.
% \end{enumerate}
% \subsection{Reference point}
% \begin{macro}{\pst@getref}
%    \begin{macrocode}
\def\pst@getref#1{%
  \@ifnextchar[%
    {\def\refpoint@x{.5}\def\refpoint@y{.5}\pst@@getref{#1}}%
    {\let\refpoint@x\relax#1}}
\def\pst@@getref#1[#2]{%
  \pst@expandafter\pst@@@getref{#2}\@empty,,\@nil#1}
\def\pst@@@getref#1#2,#3,#4\@nil{%
  \ifx\@empty#3\@empty
    \@nameuse{getref@#1}\@nameuse{getref@#2}%
  \else
    \pst@checknum{#1#2}\refpoint@x
    \pst@checknum{#3}\refpoint@y
  \fi}
\def\getref@t{\def\refpoint@y{1}}
\def\getref@b{\def\refpoint@y{0}}
\def\getref@B{\let\refpoint@y\relax}
\def\getref@l{\def\refpoint@x{0}}
\def\getref@r{\def\refpoint@x{1}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@makesmall}
%    \begin{macrocode}
\def\pst@makesmall#1{%
  \ifx\refpoint@x\relax
    \setbox#1=\hbox to\z@{\hss\vbox to \z@{\vss\box#1\vss}\hss}%
  \else
    \pst@@makesmall{#1}%
  \fi}
\def\pst@@makesmall#1{%
  \pst@dimh=\refpoint@x\wd#1%
  \ifx\refpoint@y\relax
    \pst@dimg=\dp#1%
  \else
    \pst@dimg=\refpoint@y\ht#1%
    \advance\pst@dimg\refpoint@y\dp#1%
  \fi
  \setbox#1=\hbox to\z@{%
    \hskip-\pst@dimh\vbox to\z@{\vss\box#1\vskip-\pst@dimg}\hss}}
%    \end{macrocode}
% \end{macro}
% \subsection{Rotation}
% \begin{macro}{\pst@getrputrot}
%    \begin{macrocode}
\def\pst@getrputrot#1{%
  \@ifnextchar(%
    {\def\pst@rot{}#1}%
    {\pst@getrot{\@ifnextchar({#1}{#1(0,0)}}}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getrot}
%    \begin{macrocode}
\def\pst@getrot#1#2{%
  \pst@expandafter{\@ifnextchar*{\pst@@@getrot}{\pst@@getrot}}{#2}\@nil
  \ifx\pst@rotlist\@empty\else
    \edef\pst@rotlist{\pst@rotlist \pst@rot add }%
  \fi
  #1}
\def\pst@@getrot#1\@nil{%
  \def\next##1@#1=##2@##3\@nil{%
    \ifx\relax##2%
      \pst@getangle{#1}\pst@rot
    \else
      \def\pst@rot{##2}%
    \fi}%
  \expandafter\next\pst@rottable @#1=\relax @\@nil}
\def\pst@@@getrot#1#2\@nil{%
  \pst@@getrot#2\@nil
  \edef\pst@rot{\pst@rotlist neg \ifx\pst@rot\@empty\else\pst@rot add \fi}}%
\def\pst@rotlist{0 }
\def\pst@rot{}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@rottable}
% The trailing spaces must be included, except when empty.
%    \begin{macrocode}
\def\pst@rottable{%
  @0=%
  @U=%
  @L=90 %
  @D=180 %
  @R=-90 %
  @N=\pst@rotlist neg %
  @W=\pst@rotlist neg 90 add %
  @S=\pst@rotlist neg 180 add %
  @E=\pst@rotlist neg 90 sub }
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@rotate}
% The last argument should be the register for a zero-dimensional box that is
% to be rotated. By first putting the box in a zero-dimension box centered at
% the reference point of the original box, we do not have to use "gsave" and
% "grestore".
%    \begin{macrocode}
\def\pst@rotate#1{%
  \setbox#1=\hbox{%
    \pst@Verb{\pst@rot \tx@Rot}%
    \box#1%
    \pst@Verb{\pst@rot neg \tx@Rot}}}
%    \end{macrocode}
% \end{macro}
% \subsection{Translation}
% \begin{macro}{\psput@cartesian,\psput@special}
% \n\psput@\ is defined by the \n\NormalCoor\ and \n\SpecialCoor\ commands to
% invoke either "\psput@cartesian" or "\psput@special".
% "\psput@cartesian" is for Cartesian coordinates only. \TeX\ does the
% translation.
% "\psput@special" works for any coordinates. PostScript does the translation.
% "/lmtrx" is used to store a stack of transformation for nested translations.
%    \begin{macrocode}
\def\psput@cartesian#1{%
  \hbox to \z@{\kern\pst@dimg{\vbox to \z@{\vss\box#1\vskip\pst@dimh}\hss}}}
\def\psput@special#1{%
  \hbox{%
    \pst@Verb{{ \pst@coor } \tx@PutCoor \tx@PutBegin}%
    \box#1%
    \pst@Verb{\tx@PutEnd}}}
\pst@def{PutCoor}<%
  gsave
    CP T
    CM
    \tx@STV
    exch exec
    moveto
    setmatrix
    CP
  grestore>
\pst@def{PutBegin}<%
  /lmtrx [ tx@Dict /lmtrx known { lmtrx aload pop } if CM ] def
  CP 4 2 roll T moveto>
\pst@def{PutEnd}<CP /lmtrx [ lmtrx aload pop setmatrix ] def moveto>
%    \end{macrocode}
% \end{macro}
% \subsection{The real thing}
% \begin{macro}{\begin@psput,\end@psput}
%    \begin{macrocode}
\def\begin@psput#1{\begingroup\pst@killglue\leavevmode\pst@ifstar{#1}}%
\def\end@psput#1(#2){%
  \pst@makebox{%
    \if@star
      \setbox\pst@hbox\hbox{\psframebox*[boxsep=false]{\unhbox\pst@hbox}}%
    \fi
    #1(#2)%
    \endgroup
    \ignorespaces}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\rput}
%    \begin{macrocode}
\def\rput{\begin@psput{\pst@getref{\pst@getrputrot{\end@psput\rput@i}}}}
\def\rput@i(#1){%
    \pst@makesmall\pst@hbox
    \ifx\pst@rot\@empty\else\pst@rotate\pst@hbox\fi
    \psput@{#1}\pst@hbox}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\cput}
% The first argument of "\cput@iii" is a hook used by node commands.
%    \begin{macrocode}
\def\cput{\def\pst@par{}\pst@object{cput}}
\def\cput@i{\begingroup\pst@killglue\leavevmode\pst@getrputrot\cput@ii}
\def\cput@ii(#1){\pst@makebox{\cput@iii{}(#1)}}
\def\cput@iii#1(#2){%
    \setbox\pst@hbox=\hbox{\psboxsepfalse\pscirclebox@ii{#1}}%
    \let\refpoint@x\relax
    \rput@i(#2)%
  \endgroup
  \ignorespaces}
%    \end{macrocode}
% \end{macro}
% \section{{\tt\Backslash uput} and company}
% The difference between "\uput" and \n\rput\ is that "\rput"'s reference
% point is replaced by labelsep and reference angle arguments.
% \begin{macro}{\psset@labelsep,\pslabelsep}
%    \begin{macrocode}
\newdimen\pslabelsep
\def\psset@labelsep#1{\pssetlength\pslabelsep{#1}}
\psset@labelsep{5pt}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getrefangle}
%    \begin{macrocode}
\def\pst@getrefangle#1\@nil{%
  \def\next##1@#1=##2"##3@##4\@nil{%
    \ifx\relax##2%
      \pst@getangle{#1}\pst@refangle
      \def\pst@uputref{}%
    \else
      \edef\pst@refangle{##2}%
      \edef\pst@uputref{##3}%
    \fi}%
  \expandafter\next\pst@refangletable @#1=\relax"@\@nil}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@refangletable}
%    \begin{macrocode}
\def\pst@refangletable{%
  @r=0"20%
  @u=90"02%
  @l=180"10%
  @d=-90"01%
  @ur=45"22%
  @ul=135"12%
  @dr=-135"21%
  @dl=-45"11}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\uput}
%    \begin{macrocode}
\def\uput{\begin@psput{\@ifnextchar[{\uput@ii}{\uput@i}}}
\def\uput@i#1{\pssetlength\pslabelsep{#1}\uput@ii}
\def\uput@ii[#1]{%
  \pst@expandafter\pst@getrefangle{#1}\@nil
  \pst@getrputrot{\end@psput\uput@iii}}
\def\uput@iii(#1){%
    \ifx\pst@uputref\@empty
      \uput@iv\tx@UUput
    \else
      \ifx\pst@rot\@empty
        \expandafter\uput@v\pst@uputref
      \else
        \uput@iv\tx@UUput
      \fi
    \fi
    \psput@{#1}\pst@hbox}
\def\uput@iv#1{%
  \edef\pst@coor{%
    \pst@number\pslabelsep
    \pst@number{\wd\pst@hbox}%
    \pst@number{\ht\pst@hbox}%
    \pst@number{\dp\pst@hbox}%
    \pst@refangle\space \ifx\pst@rot\@empty\else\pst@rot\space sub \fi
    \tx@Uput #1}%
  \setbox\pst@hbox=\hbox to\z@{\hss\vbox to\z@{\vss\box\pst@hbox\vss}\hss}%
  \setbox\pst@hbox=\psput@special\pst@hbox
  \ifx\pst@rot\@empty\else\pst@rotate\pst@hbox\fi}
\def\uput@v#1#2{%
  \ifnum#1>\z@\ifnum#2>\z@\pslabelsep=.707\pslabelsep\fi\fi
  \setbox\pst@hbox=\vbox to\z@{%
    \ifnum#2=1 \vskip\pslabelsep\else\vss\fi
    \hbox to\z@{%
      \ifnum#1=2 \hskip\pslabelsep\else\hss\fi
      \box\pst@hbox
      \ifnum#1=1 \hskip\pslabelsep\else\hss\fi}%
    \ifnum#2=2 \vskip\pslabelsep\else\vss\fi}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\tx@Uput}
% I forget how this works, but it does.
%    \begin{macrocode}
\pst@def{Uput}<%
  /a ED
  add 2 div /h ED
  2 div /w ED
  /s a sin def
  /c a cos def
  s abs c abs 2 copy gt
  dup /q ED
  { pop } { exch pop } ifelse
  def
  /w1 c b div w mul def
  /h1 s b div h mul def
  { w1 abs w sub dup c mul abs }
  { h1 abs h sub dup s mul abs }
  ifelse>
\pst@def{UUput}<%
  /z ED
  abs /y ED
  /x ED
  { x s div c mul abs y gt }
  { x c div s mul abs y gt }
  ifelse
  { x x mul y y mul sub z z mul add sqrt z add }
  { q { x s div } { x c div } ifelse abs }
  ifelse
  a \tx@PtoC h1 add exch w1 add exch>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@getlabelsep,\Rput}
% "\Rput" is an obsolete version of "\uput".
%    \begin{macrocode}
\def\pst@getlabelsep#1{%
  \@ifnextchar[%
    {\def\refpoint@x{.5}\def\refpoint@y{.5}\pst@@getref{#1}}%
    {\pst@@getlabelsep{#1}}}
\def\pst@@getlabelsep#1#2{\pssetlength\pslabelsep{#2}\pst@getref{#1}}
\def\Rput{%
  \begin@psput{\pst@getlabelsep{\pst@getrputrot{\end@psput{\Rput@i\rput@i}}}}}
\def\Rput@i{%
  \pst@dimg=\dp\pst@hbox
  \advance\pst@dimg\pslabelsep
  \dp\pst@hbox=\pst@dimg
  \pst@dimg=\ht\pst@hbox
  \advance\pst@dimg\pslabelsep
  \ht\pst@hbox=\pst@dimg
  \setbox\pst@hbox\hbox{\kern\pslabelsep\box\pst@hbox\kern\pslabelsep}}%
%    \end{macrocode}
% \end{macro}
% \section{Pictures\label{Pictures}}
% \begin{macro}{\pspicture}
%    \begin{macrocode}
\def\pspicture{\begingroup\pst@ifstar\pst@picture}
\def\pst@picture{%
  \@ifnextchar[{\pst@@picture}{\pst@@picture[0]}}
\def\pst@@picture[#1]#2(#3,#4){%
 \@ifnextchar({\pst@@@picture[#1](#3,#4)}%
   {\pst@@@picture[#1](0,0)(#3,#4)}}
\def\pst@@@picture[#1](#2,#3)(#4,#5){%
  \pssetxlength\pst@dima{#2}\pssetylength\pst@dimb{#3}%
  \pssetxlength\pst@dimc{#4}\pssetylength\pst@dimd{#5}%
  \def\pst@tempa{#1}%
  \setbox\pst@hbox=\hbox\bgroup
  \begingroup\KillGlue
  \@ifundefined{@latexerr}{}{\let\unitlength\psunit}%
  \edef\pic@coor{(#2,#3)(#2,#3)(#4,#5)}\ignorespaces}
\def\pic@coor{(0,0)(0,0)(10,10)}
\def\endpspicture{%
    \pst@killglue
    \endgroup
    \egroup
    \ifdim\wd\pst@hbox=\z@\else
      \@pstrickserr{Extraneous space in the pspicture environment}%
        {Type \space <return> \space to procede.}%
    \fi
    \ht\pst@hbox=\pst@dimd
    \dp\pst@hbox=-\pst@dimb
    \setbox\pst@hbox=\hbox{%
      \kern-\pst@dima
      \ifx\pst@tempa\@empty\else
        \advance\pst@dimd-\pst@dimb
        \pst@dimd=\pst@tempa\pst@dimd
        \advance\pst@dimd\pst@dimb
        \lower\pst@dimd
      \fi
      \box\pst@hbox
      \kern\pst@dimc}%
    \if@star\setbox\pst@hbox=\hbox{\clipbox@@\z@}\fi
    \leavevmode\box\pst@hbox
  \endgroup}
\@namedef{pspicture*}{\pspicture*}
\@namedef{endpspicture*}{\endpspicture}
%    \end{macrocode}
% \end{macro}
% \section{Overlays\label{Overlays}}
% Overlays work by translating invisible material. They take advantage of the
% fact that PostScript is running parallel to \TeX, and so we can redefine the
% value of some PostScript variables in order to get a different overlay
% printed each time we output a box containing overlay commands (even though
% the box has already been typeset by \TeX).
% \begin{macro}{BeginOverlay}
% "BeginOL" is a PostScript procedure, with syntax:
% \begin{LVerbatim}
%   (<string>) BeginOL
% \end{LVerbatim}
% If the string is not "(all)" and does not match "TheOL", then the output is
% made invisible by translating it over by the coffee pot (actually, by a
% distance "OLUnit"). Otherwise, it is made visible by translating it back to
% the page.
% Rather than translating the page, we could define a small clipping path off
% the page, but that would be more likely to be messed up by someone's
% "initclip" (e.g., by PSTricks' "initclip"!).
%    \begin{macrocode}
\pst@def{BeginOL}<%
  dup (all) eq exch TheOL eq or
  { IfVisible not
    { CP OLUnit T moveto
      /IfVisible true def }
    if }
  { IfVisible
    { CP OLUnit \tx@NET moveto
      /IfVisible false def }
    if }
  ifelse>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{InitOL}
% This figures out how far in the current units used by the driver is 50
% inches up and to the right. This works even though drivers use unusual
% coordinate systems (even "dvips"). This macro also defines "BOL" to be
% "BeginOL" and sets the default value of "IfVisible".
%    \begin{macrocode}
\pst@dimg=40in
\edef\pst@OLunit{\pst@number\pst@dimg}
\pst@def{InitOL}<%
  /OLUnit [ gsave CM \tx@STV \pst@OLunit
    dup moveto setmatrix CP grestore ] cvx def
  /BOL { \tx@BeginOL } def /IfVisible true def>
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@initoverlay}
% This defines "TheOL" to be "#1". It must be inserted just before printing
% overlay "#1".
%    \begin{macrocode}
\def\pst@initoverlay#1{\pst@Verb{\tx@InitOL /TheOL (#1) def}}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\pst@overlay,\pst@endoverlay}
% "\pst@overlay" just calls "BeginOverlay".
%    \begin{macrocode}
\def\pst@overlay#1{%
  \edef\curr@overlay{#1}%
  \pst@Verb{(#1) BOL}%
  \aftergroup\pst@endoverlay}
\def\pst@endoverlay{%
  \pst@Verb{(\curr@overlay) BOL}}
\def\curr@overlay{all}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\overlaybox,\endoverlaybox,\putoverlaybox}
% "\pst@initoverlay", "\pst@overlay", and "\pst@endoverlay" are the overlays
% primitives. An interface must be set up that guarantees that "\pst@overlay"
% and "\pst@endoverlay" are only used inside a box, and that
% "\pst@initoverlay" is inserted each type the box is printed. Here is one
% such interface (see "seminar.sty" for an interface for slides). The extra
% "\begingroup" and "\endgroup" assure that each "\pst@endoverlay" is executed
% within the box.
%    \begin{macrocode}
\newbox\theoverlaybox
\def\overlaybox{%
  \setbox\theoverlaybox=\hbox\bgroup
    \begingroup
    \let\psoverlay\pst@overlay
    \def\overlaybox{%
      \@pstrickserr{Overlays cannot be nested}\@eha}%
    \def\putoverlaybox{%
      \@pstrickserr{You must end the overlay box
      before using \string\putoverlaybox}}%
    \psoverlay{main}}
\def\endoverlaybox{\endgroup\egroup}
\def\putoverlaybox#1{%
  \hbox{\pst@initoverlay{#1}\copy\theoverlaybox}}
\def\psoverlay{\@pstrickserr{\string\psoverlay\space
  can only be used after \string\overlaybox}}
%    \end{macrocode}
% \end{macro}
% \section{Configuration file -- revisited\label{Config:revisited}}
%    \begin{macrocode}
\ifx\pstcustomize\relax \input pstricks.con \fi
%    \end{macrocode}
%    \begin{macrocode}
\pst@ATH<end>
\catcode`\@=\PstAtCode\relax
\endinput
%    \end{macrocode}
% \endinput
%% END: pstricks.doc