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+% \iffalse
+% Copyright 2002--2003, Daniel H. Luecking
+%
+% Mfpic consists of the 3 files mfpic.dtx, grafbase.dtx and mfpic.ins
+% and the 5 files they generate: mfpic.tex, mfpic.sty, grafbase.mf,
+% grafbase.mp, and dvipsnam.mp.
+%
+% Mfpic may be distributed and/or modified under the conditions of the
+% LaTeX Project Public License, either version 1.2 of this license or (at
+% your option) any later version. The latest version of this license is in
+%
+% http://www.latex-project.org/lppl.txt
+%
+% and version 1.2 or later is part of all distributions of LaTeX version
+% 1999/12/01 or later.
+%
+% Documentation, examples, and ancillary files are separate and not
+% covered by this license. See readme.1st for a complete list. See
+% individual files for any copyright and license restrictions.
+%
+% With respect to the proposed draft LPPL-1.3: mfpic has maintenance
+% status "maintained". The Current Maintainer is Daniel H. Luecking. There
+% are several Base Interpreters: TeX, LaTeX, MetaPost and Metafont.
+%
+%<*driver>
+\documentclass[draft]{ltxdoc}
+
+\def\fileversion{0.7a beta}
+\def\filedate{2004/04/16}
+
+\addtolength{\textwidth}{.5878pt}
+
+\def\mytt{\mdseries\ttfamily}
+\renewcommand\marg[1]{{\mytt \{#1\}}}
+\renewcommand\oarg[1]{{\mytt [#1]}}
+\renewcommand\parg[1]{{\mytt (#1)}}
+\renewcommand{\meta}[1]{{$\langle$\rmfamily\itshape#1$\rangle$}}
+\DeclareRobustCommand\cs[1]{{\mytt\char`\\#1}}
+\def\prog#1{{\mdseries\scshape #1}}
+\def\grafbase{\prog{grafbase}}
+\def\mfpic{\prog{mfpic}}
+\def\Mfpic{\prog{Mfpic}}
+\def\MF{\prog{meta\-font}}
+\def\MP{\prog{meta\-post}}
+\def\CMF{\prog{Meta\-font}}
+\def\CMP{\prog{Meta\-post}}
+\def\opt#1{{\sffamily\upshape#1}}
+\def\mfc#1{{\mytt#1}}
+\let\env\mfc
+\let\file\mfc
+\let\gbc\mfc
+\renewcommand\{{\char`\{}
+\renewcommand\}{\char`\}}
+\renewcommand\|{${}\mathrel{|}{}$}
+
+\makeatletter
+\newcommand\bsl{{\mytt\@backslashchar}}
+% Stupid lists!
+\def\@listi{\leftmargin\leftmargini
+ \parsep \z@ \@plus\p@ \@minus\z@
+ \topsep 4\p@ \@plus\p@ \@minus2\p@
+ \itemsep\parsep}
+\let\@listI\@listi \@listi
+\renewcommand\labelitemi{\normalfont\bfseries \textendash}
+\renewcommand\labelitemii{\textasteriskcentered}
+\renewcommand\labelitemiii{\textperiodcentered}
+\leftmargini\parindent
+% Stupid index!
+\def\IndexParms{%
+ \parindent \z@ \columnsep 15pt
+ \parskip 0pt plus 1pt
+ \rightskip 5pt plus2em \mathsurround \z@
+ \parfillskip=-5pt \small
+ % less hanging:
+ \def\@idxitem{\par\hangindent 20pt}%
+ \def\subitem{\@idxitem\hspace*{15pt}}%
+ \def\subsubitem{\@idxitem\hspace*{25pt}}%
+ \def\indexspace{\par\vspace{10pt plus 2pt minus 3pt}}}
+\makeatother
+
+\def\pdfTeX{\textrm{pdf\kern.04em\TeX}}
+\def\pdfLaTeX{\textrm{pdf\kern.06em\LaTeX}}
+\def\ConTeXt{\textrm{Con\kern-.16em\TeX\kern-0.06em t}}
+\def\PiCTeX{\textrm{P\kern-.13em\lower.3ex\hbox{I}C\TeX}}
+
+\title{The \mfpic{} package\thanks{This file has version number
+ \fileversion, last revised \filedate. The code described here
+ was developed by several people, notably Thomas Leathrum,
+ Geoffrey Tobin and Dan Luecking. Dan wrote this documentation.}}
+\author{Dan Luecking}
+\date{\filedate}
+\DisableCrossrefs
+\CodelineIndex
+\AlsoImplementation
+
+\begin{document}
+ \DeleteShortVerb{\|}
+ \DocInput{mfpic.dtx}
+\end{document}
+%</driver>
+%\fi
+%
+% \CheckSum{4392}
+% \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 \~}
+%
+% \catcode`\_=12
+% \maketitle
+%
+% \begin{abstract}
+% An environment, \env{mfpic}, is defined, within which commands can
+% be used for drawing pictures, especially graphs of mathematical
+% functions. These commands actually write code to an external file
+% which can be processed through \MF{} or \MP{} (depending on package
+% options) to produce the picture. The picture is then included on a
+% second pass through \TeX.
+%
+% This file documents the source code. See \file{mfpicdoc.tex} for the
+% user documentation.
+% \end{abstract}
+%
+% \StopEventually{\PrintIndex}
+% \tableofcontents
+%
+%
+% \section{Introductory setup}\label{intro}
+%
+% \Mfpic{} is designed to work with plain \TeX, \LaTeX, \pdfTeX, and
+% \pdfLaTeX.
+%
+% \subsection{Versions numbers, category codes, etc.}\label{category}
+%
+% Almost all the various category code settings we do were prompted by
+% an \mfpic{} user who had sent a bug report and had to send along his
+% modified version of \file{mfpic.tex}. It had been modified so that
+% \cs{message}\,s and \cs{write}\,s would do the right thing in latex
+% files where various punctuation were made active (e.g., with
+% \file{french.sty}).
+%
+% \DescribeMacro{\mfpfileversion}
+% \DescribeMacro{\mfpfiledate}
+% \DescribeMacro{\mfpicversion}
+% We keep track of version numbers here. We use \cs{mfpfileversion}
+% because \cs{fileversion} is used by very many \LaTeX{} packages.
+% This is important, because later we write the version information to the
+% output file, The \cs{mfpicversion} is 100 times the numeric part of the
+% version. The output file can compare this number with the corresponding
+% value in \file{grafbase} and detect installations where there is a
+% mismatch.
+% \begin{macrocode}
+%<*tex>
+{\catcode\lq\.12 \catcode\lq\/12%
+\gdef\mfpfileversion{0.7a beta}%
+\gdef\mfpfiledate{2004/04/16}%
+\gdef\mfpicversion{70}}%
+\ifx\MFPicpackagE\UndEfInEd\else\expandafter\endinput\fi%
+% \end{macrocode}
+%
+% A bug in older versions of some support files is triggered by the macro
+% \cs{+}, which is an \cs{outer} macro in plain \TeX. Here we save the
+% current definition and then give it a nonouter meaning.
+% \begin{macrocode}
+\let\mfpsaveplus\+%
+\let\+\tabalign%
+% \end{macrocode}
+%
+% \DescribeMacro{\MFPrestorecode}
+% We now get rid of unusually catcoded punctuation, space and EOL.
+% We save all the current category codes in the macro \cs{MFPicpackagE}
+% and restore them at the end by executing this command.
+% We try to assume only: that letters, numbers,
+% `\texttt\bsl', `\texttt\{', `\texttt\}', `\texttt\#' and
+% `\texttt\%' have the usual categories. Styles (e.g., \prog{french})
+% that make punctuation active foul up \cs{write}\,s of MF/MP code. This can
+% still occur in user-generated \cs{write}\,s, so maybe some code should be
+% added in \cs{mfpic} or \cs{mfsrc} command too.
+% \begin{macrocode}
+\edef\MFPrestoreequal{\catcode61\space\the\catcode61\relax}%
+\catcode61 12\relax%
+\edef\MFPrestorespace{\catcode32=\the\catcode32\relax}%
+\catcode32=10\relax%
+\edef\MFPrestoreEOL{\catcode13=\the\catcode13\relax}%
+\catcode13=5\relax
+\edef\MFPrestorelq{\catcode96=\the\catcode96\relax}%
+\catcode96=12
+\def\MFPrestorecode#1{\catcode`\string#1=\the\catcode`#1\relax}%
+% \end{macrocode}
+%
+% \DescribeMacro{\MFPicpackagE}
+% This will be invoked at the end of the file to restore all the catcodes.
+% This will fail if some of these characters have really bad codes
+% (comment or escape, for example) but that would likely be the case only
+% if {\tt\bsl} or {\tt\%} have some different codes and then everything
+% above here would fail.
+% \begin{macrocode}
+\edef\MFPicpackagE{%
+ \MFPrestorecode{@}\MFPrestorecode{-}%
+ \MFPrestorecode{:}\MFPrestorecode{;}%
+ \MFPrestorecode{.}\MFPrestorecode{,}%
+ \MFPrestorecode{!}\MFPrestorecode{?}%
+ \MFPrestorecode{(}\MFPrestorecode{)}%
+ \MFPrestorecode{[}\MFPrestorecode{]}%
+ \MFPrestorecode{'}\MFPrestorecode{/}%
+ \MFPrestorecode{"}\MFPrestorecode{*}%
+ \MFPrestorecode{$}\MFPrestorecode{+}%
+ \MFPrestorecode{_}\MFPrestorecode{>}%
+ \MFPrestorecode{<}\MFPrestorecode{~}%
+ \MFPrestorelq\MFPrestoreEOL\MFPrestorespace
+ \MFPrestoreequal\catcode 10=\number\catcode10}%
+% \end{macrocode}
+%
+% Set everything to normal except \texttt @=letter, \mfc{_}=other, and
+% \texttt \textasciitilde=other. Do this by putting the settings in a
+% macro and invoking the macro. That makes it possibly to redo the
+% settings inside some other macro, should that ever become necessary.
+% Characters 10 and 13 are \verb|^^J| and \verb|^^M|, control-J and
+% control-M.
+%
+% \begin{macrocode}
+\catcode`\@=11
+\ifx\@makeother\UndEfInEd \def\@makeother#1{\catcode`#1=12\relax}\fi
+\def\mfp@sanitize{%
+\catcode10=12\catcode13=5\catcode`\$=3\catcode`\ =10
+\@makeother\:\@makeother\;\@makeother\.\@makeother\,%
+\@makeother\!\@makeother\?\@makeother\(\@makeother\)%
+\@makeother\[\@makeother\]%
+\@makeother\'\@makeother\/\@makeother\"\@makeother\*%
+\@makeother\_\@makeother\`\@makeother\+\@makeother\=%
+\@makeother\>\@makeother\<\@makeother\~\@makeother\-}%
+\mfp@sanitize
+\edef\restorenewlinechar{\newlinechar=\number\newlinechar\relax}%
+\chardef\mfp@ctrlJ10 \chardef\mfp@ctrlM13
+\newlinechar\mfp@ctrlJ\def\@nl{^^J}%
+% \end{macrocode}
+%
+% \subsection{Debugging and messages}\label{debug}
+%
+% \DescribeMacro{\ifmfpicdebug}
+% \DescribeMacro{\mfpicdebug}
+% To turn on debugging before option processing, the user must make sure
+% \cs{mfpicdebug} is defined. \cs{mfp@DBlog} writes it contents to the
+% log file only if debugging is on.
+% \begin{macrocode}
+\newif\ifmfpicdebug
+\ifx\mfpicdebug\UndEfInEd \mfpicdebugfalse
+\else \mfpicdebugtrue
+\fi
+\def\mfp@DBlog#1{%
+ \ifmfpicdebug{\let\@msgbreak\mfp@errbrk\wlog{Mfpic debug: #1}}\fi}%
+% \end{macrocode}
+% Various kinds of messages to the screen and log file. \cs{mfp@msg} is only
+% used in the definition of the others and to write a blank line. We
+% always use the second, which identifies the source of the message, or
+% the third, which adds the word `warning'. The fourth is for errors
+% and provides for help if a user presses `\texttt h' in response to the
+% message. The bit with the spaces is to get a hanging indentation with
+% text properly aligned on screen.
+% \begin{macrocode}
+\def\mfp@msg#1{{\newlinechar\mfp@ctrlJ\immediate\write16{#1}}}%
+\def\@msgbreak{^^J}%
+\def\mfp@spaces{\space\space\space\space\space\space}%
+%
+\def\mfp@msgbrk{^^J\mfp@spaces\space}%
+\def\mfp@errbrk{\mfp@msgbrk\mfp@spaces}%
+\def\mfp@warnbrk{\mfp@errbrk\space\space}%
+%
+\def\Mfpic@msg#1{{\let\@msgbreak=\mfp@msgbrk
+ \mfp@msg{Mfpic: #1 }}}%
+\def\Mfpic@warn#1{{\let\@msgbreak=\mfp@warnbrk
+ \mfp@msg{^^JMfpic warning: #1}}}%
+\def\mfp@errmsg#1#2{{\newlinechar\mfp@ctrlJ
+ \let\@msgbreak\mfp@errbrk
+ \errhelp{#2}\errmessage{Mfpic error: #1}}}%
+% \end{macrocode}
+%
+% In \TeX{} 3.x we can identify the line being processed when a message is
+% issued. We do not support \TeX{} 2.x. The command \cs{@mfplineno} is
+% for information written into the output file.
+% \begin{macrocode}
+\def\@online{ on line \number\inputlineno}%
+\def\@mfplineno{line \number\inputlineno\space in TeX source}%
+% \end{macrocode}
+%
+% \subsection{Detecting the format}\label{format}
+%
+% To detect its environment, \mfpic{} needs to test whether certain
+% commands are defined. The \cs{@xp} is usually used to `expand away'
+% the rest of a conditional. \cs{@XP} does this from two levels deep in
+% a conditional. (We use \cs{@xp}\cs{@XP}\cs{@xp} later to expand
+% away from three levels.) Since it uses \cs{@firstoftwo} and
+% \cs{@secondoftwo}, we cannot use it to check their existence.
+% \begin{macrocode}
+\ifx\@firstoftwo\UndEfInEd \long\def\@firstoftwo#1#2{#1}\fi
+\ifx\@secondoftwo\UndEfInEd \long\def\@secondoftwo#1#2{#2}\fi
+\let\@xp\expandafter
+\def\@XP{\@xp\@xp\@xp}%
+\def\mfp@ifdefined#1{%
+ \ifx#1\UndEfInEd \@xp\@secondoftwo
+ \else\ifx#1\relax \@XP\@secondoftwo
+ \else \@XP\@firstoftwo
+ \fi\fi}%
+\mfp@ifdefined\@firstofone{}{\long\def\@firstofone#1{#1}}%
+% \end{macrocode}
+%
+% We test for the format. If all tests fail we assume plain\TeX{} or
+% something compatible. Mainly this is needed to support \LaTeX. I've done
+% a few things to work around \ConTeXt, but its been a moving target and
+% \mfpic{} didn't work in \ConTeXt{} the last time I tried.
+%
+% Here we see if \cs{documentstyle} is defined, and then make sure
+% we are not in \AmSTeX{}. Probably there is a better command to test,
+% and perhaps we should just test whether the functionality required is
+% present, but I'm not really sure how best to do either of those.
+% \begin{macrocode}
+\newif\if@mfp@latex \@mfp@latexfalse
+\mfp@ifdefined\documentstyle
+ {{\def\x{AmS-TeX}%
+ \ifx \fmtname\x \mfp@DBlog{AmS-TeX detected.}%
+ \else
+ \global\@mfp@latextrue \mfp@DBlog{LaTeX detected.}%
+ \fi}}%
+ {\mfp@DBlog{Neither LaTeX2e nor LaTeX209 nor AmS-TeX.}}%
+% \end{macrocode}
+%
+% We are in \LaTeXe{}, as opposed to \LaTeX2.09, if \cs{documentclass}
+% is defined.
+% \begin{macrocode}
+\newif\if@mfp@latexe \@mfp@latexefalse
+\mfp@ifdefined\documentclass
+ {\@mfp@latexetrue \mfp@DBlog{LaTeX2e detected.}}%
+ {\mfp@DBlog{Not LaTeX2e.}}%
+% \end{macrocode}
+%
+% We now test \cs{pdfoutput} to see if pdf support is needed.
+% \begin{macrocode}
+\newif\if@mfp@pdf \@mfp@pdffalse
+\mfp@ifdefined\pdfoutput
+ {\mfp@DBlog{PdfTeX detected...}%
+ \ifcase\pdfoutput
+ \mfp@DBlog{...with dvi output.}%
+ \else
+ \@mfp@pdftrue \mfp@DBlog{...with PDF output.}%
+ \fi}%
+ {\mfp@DBlog{Not pdfTeX.}}%
+% \end{macrocode}
+%
+% \subsection{Blank line and spacing hacks}\label{spacing}
+%
+% In order for commands to always read their arguments correctly,
+% we need EOLs to have their normal category codes, but then a
+% blank line will end a paragraph, and we would like blank lines to be
+% ignored inside an \env{mfpic} environment. Therefore we turn off
+% \cs{par} inside that environment, and then need(?) to turn it back on
+% inside \cs{tlabel} and \cs{tcaption}. \cs{@@par} (in \LaTeX) and
+% \cs{endgraf} (in plain \TeX) should equal the primitive \cs{par}.
+% \begin{macrocode}
+\if@mfp@latex \else \let\@@par\endgraf \fi
+\def\mfp@restorepar{\let\par\@@par}%
+% \end{macrocode}
+%
+% Some \mfpic{} commands end with \cs{ignorespaces}. For some others a
+% better choice is the \LaTeX{} strategy of conditionally ignoring spaces.
+% \begin{macrocode}
+\if@mfp@latex\else
+ \def\@namedef#1{\@xp\def\csname #1\endcsname}%
+ \def\@nameuse#1{\csname #1\endcsname}%
+\fi
+\mfp@ifdefined\@bsphack{}%
+ {\@nameuse{newskip}\@savsk
+ \@nameuse{newcount}\@savsf
+ \def\@bsphack{\relax
+ \ifhmode \@savsk\lastskip \@savsf\spacefactor \fi}%
+ \def\@esphack{\relax
+ \ifhmode \spacefactor\@savsf
+ \ifdim\@savsk>\z@ \ignorespaces
+ \fi\fi}}%
+% \end{macrocode}
+%
+% We sometimes (either by accident or by choice) redefine things defined
+% in some formats. For the accidental redefinitions we want to be told,
+% and since we cannot assume \LaTeX{} with its \cs{newcommand}, we define
+% a simple check and print a warning when it happens.
+% \begin{macrocode}
+\mfp@DBlog{Defining test for previous definitions of macros.}%
+\mfp@ifdefined\mfp@testdef
+ {\Mfpic@warn{%
+ Hey! How can \string\mfp@testdef\space already be defined? %
+ \@msgbreak I'll redefine it anyway!}}%
+ {}%
+\def\mfp@testdef#1{%
+ \ifx#1\UndEfInEd
+ \else\ifx#1\relax
+ \Mfpic@warn{\string #1 was previouly defined to be \string\relax.}%
+ \else
+ \Mfpic@warn{\string #1 is already defined!}%
+ \fi\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\newdef}
+% \DescribeMacro{\newlet}
+% Is the proposed definer of new definitions itself not new? Well,
+% we'd like a warning, but go ahead and define it anyway. All
+% \cs{newdef} does is check whether the macro being defined is already
+% defined, raise a warning (but \emph{not} an error) and define it
+% anyway. We do something similar with \cs{let}.
+% \begin{macrocode}
+\mfp@testdef\newdef
+\mfp@testdef\newlet
+\def\newdef#1{\mfp@testdef#1\def#1}%
+\newdef\newlet#1{\mfp@testdef#1\let#1}%
+% \end{macrocode}
+%
+%
+% \section{Configuring \mfpic{} behavior}\label{configuring}
+%
+% \subsection{Options}\label{options}
+%
+% \DescribeMacro{ifmfpmpost}
+% I have decided to make this a user-level macro so that a user can
+% write code that behaves one way for \MP{} and another for \MF. However
+% the commands to change the setting are private.
+%
+% Our switch to turn \MP{} support on or off needs to be global, so it
+% can't be a normal \cs{newif}.
+% \begin{macrocode}
+\global\let\ifmfpmpost\iffalse
+\newdef\mfp@mposttrue {\global\let\ifmfpmpost\iftrue}%
+\newdef\mfp@mpostfalse{\global\let\ifmfpmpost\iffalse}%
+\newdef\mfp@ifmpost{%
+ \ifmfpmpost\@xp\@firstoftwo\else\@xp\@secondoftwo\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\usemetafont}
+% We make a user-level commands for switching to the appropriate drawing
+% program. This is necessary for plain\TeX, but also used internally by
+% \mfpic. \CMF{} is the default. This command needs to not only clear the
+% boolean \cs{ifmfpmpost}, but also restore the default graphics inclusion
+% commands. Actually, it doesn't \emph{need} to unless \cs{usemetapost}
+% was previously issued to change the default. This would normally not
+% happen unless the user wanted to close the current graph file and open a
+% new one for \MF.
+%
+% \MP{} support requires macros for including EPS graphics. What works
+% best depends on the format, so we delay the definition of
+% \cs{usemetapost} until the \LaTeX{} options section, but we define the
+% error message here.
+% \begin{macrocode}
+\newdef\usemetafont{\mfp@mpostfalse
+ \def\preparemfpicgraphic##1{}%
+ \def\setmfpicgraphic##1{\@graphfont\char\mfp@count}%
+ \def\getmfpicoffset##1{}}%
+\newdef\MPtoolate@error{%
+ \mfp@errmsg {Command \string\usemetapost\space too late.}%
+ {It is too late to select the metapost option.^^J%
+ It must be selected before the \opengraphsfile command.^^J%
+ If you proceed, the metafont option will be assumed.}}%
+% \end{macrocode}
+%
+% Some options need an open \file{.mf} or \file{.mp} file before they
+% can do anything. This means the \cs{opengraphsfile} command must have
+% been issued but not \cs{closegraphsfile}. Since those commands define and
+% undefine \cs{mfp@filename}, we use that as our test.
+% \begin{macrocode}
+\newdef\@ifmfpfileisopen{\mfp@ifdefined\mfp@filename}%
+% \end{macrocode}
+%
+% \DescribeMacro{\setmfvariable}
+% \DescribeMacro{\setmpvariable}
+% A useful abbreviation for a common requirement: declaring and setting
+% a \MF{} variable. I have decided to change it to a user level macro for
+% power users. \cs{setmpvariable} is another name for it. It takes three
+% arguments: the type of variable, the variable itself, and its value.
+% Example: \cs{setmfvariable}\marg{numeric}\marg{shadewd}\marg{.7pt}.
+% Since it \mfc{save}\,s the variable, it must not have a suffix. This is
+% not a big problem since mostly it is for internal use. We document
+% that fact for power users and advise ordinary users on the naming of
+% \MF{} variables.
+%
+% \DescribeMacro{\setmfboolean}
+% \DescribeMacro{\setmfnumeric}
+% \DescribeMacro{\setmfcolor}
+% Abbreviations for the most common internal uses. In the case of \MF,
+% color is the same numeric, but in \MP{} it is a separate variable type.
+% \begin{macrocode}
+\newdef\setmfvariable#1#2#3{%
+ \@ifmfpfileisopen{\mfcmd{setvariable (#1) (#2) (#3)}}{}}%
+\newlet\setmpvariable\setmfvariable
+\newdef\setmfboolean#1#2{\setmfvariable{boolean}{#1}{#2}}%
+\newdef\setmfnumeric#1#2{\setmfvariable{numeric}{#1}{#2}}%
+\newdef\setmfcolor#1#2{\setmfvariable{color}{#1}{#2}}%
+% \end{macrocode}
+%
+% The command \cs{setmfvariable} arranges for the value of
+% that variable to be localized to each figure if set inside one, but
+% it is global otherwise. We have to be careful that \TeX{} and \MF{}
+% stay in sync, as they have different understandings as to what is
+% global and what is not. So we define a switch that will be set at the
+% start of an \env{mfpic} environment to test if a command is issued
+% inside one.
+%
+% We also define here \texttt{true} and \texttt{false} as macros. These
+% are strings we need to write to the output frequently.
+% \begin{macrocode}
+\let\ifin@mfpicenv\iffalse
+\newdef\mfp@local{\relax\ifin@mfpicenv\else\global\fi}%
+\newdef\mf@T{true}%
+\newdef\mf@F{false}%
+\newdef\mfp@let{\mfp@local\let}%
+\newdef\mfp@def{\mfp@local\def}%
+% \end{macrocode}
+%
+% \DescribeMacro{\usecenteredcaptions}
+% \DescribeMacro{\nocenteredcaptions}
+% This (\opt{centeredcaptions}) is the simplest option. Other options
+% follow a similar pattern: user-level commands are defined for
+% turning on (and sometimes turning off) the option. Selection of
+% centered captions can be turned on or off at will throughout a
+% document.
+% \begin{macrocode}
+\newdef\usecenteredcaptions{\mfp@let\if@mfp@centcapt\iftrue}%
+\newdef\nocenteredcaptions {\mfp@let\if@mfp@centcapt\iffalse}%
+\nocenteredcaptions
+% \end{macrocode}
+%
+% This common code is repeated almost verbatim four times, so we define
+% the following abbreviation. The first two arguments are the commands
+% to turn the option on and off. The third and fourth are the \TeX{} and
+% \MF{} booleans to switch. In all cases, the default for the option is
+% \emph{off}, so we run \texttt{\#2} at the end.
+% \begin{macrocode}
+\newdef\mfp@makeoption#1#2#3#4{%
+ \newdef#1{\mfp@let#3\iftrue\setmfboolean{#4}\mf@T}%
+ \newdef#2{\mfp@let#3\iffalse\setmfboolean{#4}\mf@F}
+ #2}%
+% \end{macrocode}
+%
+% \DescribeMacro{\clipmfpic}
+% \DescribeMacro{\noclipmfpic}
+% The \opt{clip} option shows only what's inside the rectangle
+% given in the \cs{mfpic} command. It can be turned on or off for
+% each figure independently. The default is the old behavior: no
+% clipping.
+%
+% If the output file has not been opened, \cs{setmfboolean} does nothing.
+% But the \cs{opengraphsfile} code checks the boolean and writes the
+% appropriate code.
+% \begin{macrocode}
+\mfp@makeoption\clipmfpic\noclipmfpic\if@mfp@clip{clipall}%
+% \end{macrocode}
+%
+% \DescribeMacro{\usetruebbox}
+% \DescribeMacro{\notruebbox}
+% The \opt{truebbox} option lets \MP{} set the true bounding box (which
+% may differ from the numbers defined through \cs{mfpic}).
+%
+% We don't need to be too careful with the scope of truebbox. As
+% currently written, \TeX{} never needs to know the setting except to pass
+% the information on to \cs{opengraphsfile} if the option is set before
+% then. However, we treat it like most other settings, turning on or off
+% an appropriate \TeX{} boolean, in case it ever becomes necessary to know
+% the setting. It is local to any \env{mfpic}, global otherwise. The
+% default is to have \opt{truebbox} turned off.
+% \begin{macrocode}
+\mfp@makeoption\usetruebbox\notruebbox\if@mfp@truebbox{truebbox}%
+% \end{macrocode}
+%
+% Some options and commands require the \opt{metapost} option be in
+% effect. We define a generic error message for such cases. If a command
+% or option requires \MP, but the \opt{metapost} option is not set, the
+% option is ignored, or the command aborted.
+% \begin{macrocode}
+\newdef\noMP@error#1{%
+ \mfp@errmsg {Metafont does not support #1, use MetaPost.}%
+ {Metafont doesn't support #1. Perhaps you forgot to turn on^^J%
+ MetaPost support by using the metapost option or issuing the^^J%
+ command \usemetapost. For now, I will ignore it.}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\usemplabels}
+% \DescribeMacro{\nomplabels}
+% An option to let \MP{} create labels, \opt{mplabels} mostly just
+% switches between two versions of \cs{tlabel} so no \MP{} booleans
+% are set and so syncronization of scope is not an issue. The default
+% is the old behavior: labels are placed by \TeX. The actual setting is
+% delayed until \cs{opengraphsfile} so the order of these commands and
+% \cs{usemetapost} is not significant (before \cs{opengraphsfile}).
+%
+% Because of the frequent need to check this setting, we define
+% \cs{@ifmplabels} to execute one of two alternatives based on it.
+% \begin{macrocode}
+\newdef\usemplabels{\mfp@let\if@mfp@mplabels\iftrue
+ \@ifmfpfileisopen
+ {\mfp@ifmpost{}%
+ {\noMP@error{mplabels}\global\let\if@mfp@mplabels\iffalse}}{}}%
+\newdef\nomplabels{\mfp@let\if@mfp@mplabels\iffalse}%
+\newdef\@ifmplabels{%
+ \if@mfp@mplabels\@xp\@firstoftwo\else\@xp\@secondoftwo\fi}%
+\nomplabels
+% \end{macrocode}
+%
+% \DescribeMacro{\overlaylabels}
+% \DescribeMacro{\nooverlaylabels}
+% These control an option to defer adding labels (in \MP) until the end
+% of the picture. That means they don't get clipped or covered up by any
+% drawing elements. Neither of these commands affect \MF, but they write
+% to the output file anyway if issued after \cs{opengraphsfile}.
+% \begin{macrocode}
+\mfp@makeoption%
+ \overlaylabels\nooverlaylabels\if@mfp@overlabels{overlaylabels}%
+% \end{macrocode}
+%
+% \DescribeMacro{\clearsymbols}
+% \DescribeMacro{\noclearsymbols}
+% These determine whether the symbols drawn by \cs{plotsymbol} and
+% \cs{plotnodes} should have their interiors erased before being drawn.
+% \begin{macrocode}
+\mfp@makeoption%
+ \clearsymbols\noclearsymbols\if@mfp@clearsym{clearsymbols}%
+% \end{macrocode}
+%
+% \subsection{Graphic inclusion}\label{graphic}
+%
+% \DescribeMacro{\mfpicllx}
+% \DescribeMacro{\mfpiclly}
+% The code to include a figure has been divided into three parts. Under
+% \opt{metapost} we need to both include the figure and save the
+% bounding box coordinates of the lower left corner. Here we initialize
+% the macros that hold these coordinates.
+% \begin{macrocode}
+\def\mfpicllx{0}%
+\def\mfpiclly{0}%
+% \end{macrocode}
+%
+% \DescribeMacro{\preparemfpicgraphic}
+% Most EPS inclusion macros make the bounding box information available,
+% and so after the inclusion command we just save it in the above two
+% macros. However, \LaTeX's \cs{includegraphics} does not, so we have to
+% issue a command before the inclusion to force it to become available.
+% That command is \cs{preparemfpicgraphic}. Usually it does nothing,
+% but in the \LaTeXe{} case it locally redefines one of the graphics
+% packages internal macros.
+%
+% \DescribeMacro{\setmfpicgraphic}
+% This command includes the graphic. The \mfpic{} default (for the
+% \opt{metafont} option) is set by running \cs{usemetafont}.
+%
+% \DescribeMacro{\getmfpicoffset}
+% This one saves the lower left corner in the macros \cs{mfpicllx} and
+% \cs{mfpiclly}. In the case described above, that is accomplished by
+% the redefined internal command, so this command does nothing.
+%
+% The command \cs{@setmfpicgraphic} is a wrapper around the inclusion
+% code. It takes the name of the graphic file and passes it along to the
+% above three commands. Those three commands can be redefined by the
+% user for special circumstances. The user is then responsible to make
+% sure \cs{mfpicllx} and \cs{mfpiclly} are properly set when necessary.
+% Redefining one may necessitate redefining one or both of the others.
+%
+% The definition of these three is delayed to the option processing
+% section, except under the \MF{} default: \cs{usemetafont} defines them.
+% \begin{macrocode}
+\newdef\@setmfpicgraphic#1{%
+ \preparemfpicgraphic{#1}\setmfpicgraphic{#1}\getmfpicoffset{#1}}%
+\usemetafont
+% \end{macrocode}
+%
+% \DescribeMacro{\setfilename}
+% The user can also change \cs{setfilename} to modify the assumed
+% filenames of the graphics output by \MP. The default is to concatenate
+% the output file's basename with the picture number.
+% \begin{macrocode}
+\newdef\setfilename#1#2{#1.#2}%
+% \end{macrocode}
+%
+% \DescribeMacro{\ifmfpicdraft}
+% \DescribeMacro{\mfpicdraft}
+% \DescribeMacro{\mfpicfinal}
+% \DescribeMacro{\mfpicnowrite}
+% The \opt{draft}, \opt{final} and \opt{nowrite} options override
+% \mfpic's attempts to automatically detect whether the eps
+% files should be included. The \opt{final} option can also be used to
+% override a global draft option. Each of these sets the user level
+% if-command \cs{ifmfpicdraft}, which is retained for backward
+% compatibility. These settings are global since they are intended to
+% be set for the whole document. The four commands
+% \cs{@mfp@draft/finaltrue/false} are used to communicate with the
+% \cs{opengraphsfile} command, in case the user-level commands occur before
+% then.
+% \begin{macrocode}
+\newif\ifmfpicdraft
+\newif\if@mfp@draft
+\newif\if@mfp@final
+\newif\if@mfp@nowrite
+\newdef\mfpicdraft{%
+ \@ifmfpfileisopen{\global\mfpicdrafttrue}%
+ {\global\@mfp@drafttrue}}%
+\newdef\mfpicfinal{%
+ \@ifmfpfileisopen{\global\mfpicdraftfalse}%
+ {\global\@mfp@finaltrue}}%
+\newdef\mfpicnowrite{%
+ \@ifmfpfileisopen
+ {\mfp@errmsg
+ {Improper use of command \string\mfpicnowrite\@online.}%
+ {You must issue the command \mfpicnowrite prior to
+ \opengraphsfile. It will be ignored now.}}%
+ {\global\@mfp@nowritetrue}}%
+% \end{macrocode}
+%
+% \subsection{\CMP{} graphics and \LaTeX{} options}\label{latex}
+%
+% Code dependent on \LaTeXe. Mostly this is the option processing
+% facilities.
+% \begin{macrocode}
+\if@mfp@latexe
+ \ProvidesPackage{mfpic}[2004/04/16 v0.7a beta.]%
+ \DeclareOption{draft}{\mfpicdraft}%
+ \DeclareOption{final}{\mfpicfinal}%
+ \DeclareOption{nowrite}{\mfpicnowrite}%
+ \DeclareOption{metapost}{\mfp@mposttrue}%
+ \DeclareOption{metafont}{\usemetafont}%
+ \DeclareOption{centeredcaptions}{\usecenteredcaptions}%
+ \DeclareOption{clip}{\clipmfpic}%
+ \DeclareOption{truebbox}{\usetruebbox}%
+ \DeclareOption{mplabels}{\usemplabels}%
+ \DeclareOption{overlaylabels}{\overlaylabels}%
+ \DeclareOption{clearsymbols}{\clearsymbols}%
+ \DeclareOption{debug}{\mfpicdebugtrue}%
+ \DeclareOption*{%
+ \@ifpackageloaded{graphics}%
+ {\Mfpic@warn{Unrecognized option \CurrentOption.}}%
+ {\Mfpic@msg{Passing option \CurrentOption\space to %
+ graphics package.}%
+ \PassOptionsToPackage{\CurrentOption}{graphics}}}%
+% \end{macrocode}
+% If \file{mfpic.cfg} exists, it will be input at this point. Then,
+% we \cs{ProcessOptions}, using the *-form because it allows package
+% options to take precedence over global options. Thus \mfpic's
+% \opt{final} option can counteract the \mfpic-specific side effects of a
+% global \opt{draft} option.
+% \begin{macrocode}
+ \InputIfFileExists{mfpic.cfg}{}{}%
+ \ProcessOptions*\relax
+% \end{macrocode}
+%
+% \DescribeMacro{\usemetapost}
+% Finally, one of the definitions of \cs{usemetapost}. The other is
+% for use outside \LaTeXe, when the \prog{graphics} package cannot be
+% assumed to be available.
+% \begin{macrocode}
+ \def\usemetapost{%
+ \@ifmfpfileisopen{\mfp@mpostfalse\MPtoolate@error}%
+ {\mfp@mposttrue \RequirePackage{graphics}%
+% \end{macrocode}
+%
+% Unlike all the other eps inclusion macros, \cs{includegraphics} does
+% not make the bounding box coordinates available: \cs{Gin@llx} and the
+% others are defined, but are local to a group surrounding the internals
+% of \cs{includegraphics}. We locally modify one graphics package internal
+% macro to globally save the information we need. Here we save the
+% original definition and define our replacement. This definitely needs
+% to come after the above \cs{RequirePackage} command.
+% \begin{macrocode}
+ \global\let\mfp@save@parse@bb\Gread@parse@bb
+ \gdef\mfp@parse@bb##1 ##2 ##3 ##4 ##5\\{%
+ \mfp@save@parse@bb##1 ##2 ##3 ##4 ##5\\%
+ \xdef\mfpicllx{\Gin@llx}\xdef\mfpiclly{\Gin@lly}}%
+% \end{macrocode}
+%
+% The \prog{graphics} package (as opposed to the \prog{graphicx} package)
+% is far too dependent on actual extensions. Since we don't want to
+% force our users to rename all the graphics output by \MP, we have to
+% force \cs{includegraphics} to treat the current extension (some number)
+% as if it were `{\tt eps}' or `{\tt mps}' according to the context. We
+% decide which at this point.
+% \begin{macrocode}
+ \if@mfp@pdf \gdef\mfp@Gtype{mps}%
+ \else \gdef\mfp@Gtype{eps}%
+ \fi
+% \end{macrocode}
+%
+% The code we add to \cs{setmfpicgraphic} replaces \cs{Gread@parse@bb} with
+% our own version.
+% \begin{macrocode}
+ \gdef\preparemfpicgraphic##1{%
+ \let\Gread@parse@bb\mfp@parse@bb}%
+ \gdef\getmfpicoffset##1{}%
+ \gdef\setmfpicgraphic##1{\includegraphics{##1}}}}%
+% \end{macrocode}
+%
+% \cs{ProcessOptions} doesn't allow \cs{RequirePackage}\marg{graphics},
+% so the above and the following were not simply put inside
+% \cs{DeclareOption}\marg{metapost}. The \cs{AtEndDocument} command will
+% close the output file if the user forgot.
+% \begin{macrocode}
+ \mfp@ifmpost{\usemetapost}{}%
+ \AtEndDocument{\@closegraphsfile}%
+% \end{macrocode}
+%
+% Now those cases outside \LaTeXe{} that we try to support.
+% \begin{macrocode}
+\else
+ \Mfpic@msg{\mfpfiledate\space v\mfpfileversion.}%
+% \end{macrocode}
+%
+% \DescribeMacro{\usemetapost}
+% The definition of \cs{usemetapost} depends on the setting of
+% \cs{if@mfp@pdf}: \file{epsf.tex} is used for regular \TeX{} and
+% \file{supp-pdf.tex} for \pdfTeX.
+% \begin{macrocode}
+ \if@mfp@pdf
+ \def\usemetapost{%
+ \@ifmfpfileisopen{\mfp@mpostfalse\MPtoolate@error}%
+ {\mfp@mposttrue
+ \mfp@ifdefined\convertMPtoPDF{}{\input supp-pdf\relax}%
+% \end{macrocode}
+% The command \cs{convertMPtoPDF} takes the filename and and two
+% scaling factors. It parses the files PS contents to PDF code. It leaves
+% the bounding box info in macros \cs{MPllx}, etc.
+% \begin{macrocode}
+ \gdef\setmfpicgraphic##1{\convertMPtoPDF{##1}{1}{1}}%
+ \gdef\getmfpicoffset##1{%
+ \xdef\mfpicllx{\MPllx}\xdef\mfpiclly{\MPlly}}}}%
+ \else
+% \end{macrocode}
+% The final case is the generic plain\TeX, \AmSTeX, or \LaTeX2.09. Our
+% code uses the macros from \file{epsf.tex}, which should be present in
+% every installation that includes \prog{dvips}. The command
+% \cs{epsfbox} takes the filename, writes a \cs{special} for
+% \prog{dvips} (and other programs) and saves the bounding box
+% coordinates in \cs{epsfllx}, etc.
+% \begin{macrocode}
+ \def\usemetapost{%
+ \@ifmfpfileisopen{\mfp@mpostfalse\MPtoolate@error}%
+ {\mfp@mposttrue
+ \mfp@ifdefined\epsfbox {}{\input epsf\relax}%
+ \gdef\setmfpicgraphic##1{\epsfbox{##1}}%
+ \gdef\getmfpicoffset##1{%
+ \xdef\mfpicllx{\epsfllx}\xdef\mfpiclly{\epsflly}}}}%
+ \fi
+\fi
+% \end{macrocode}
+%
+%
+% \section{Optional parameter handling}\label{optional}
+%
+% We borrow \LaTeX's \cs{@ifnextchar} to have the advantage of
+% skipping spaces and EOLs, but we skip \cs{relax} as well. The reason for
+% this last is that an EOL will be set equal to \cs{relax} in certain
+% contexts and we want option handling to work the same there as
+% elsewhere. This could be a mistake, since \cs{relax} is a common method
+% to halt such things. However, there should be no occasion in an
+% \env{mfpic} environment where one would want a `\texttt[' to follow a
+% command and \emph{not} be an optional argument. In text label commands
+% we restore the meaning of blank lines, and EOLs ought to be normal.
+%
+% The first argument of \cs{mfp@ifnextchar} is the token being checked. It
+% doesn't have to be a character and we sometimes use \cs{mfp@ifnextchar}
+% to check whether a certain command follows. However, it is usually
+% `\texttt['. The next argument is the code to run if that character is
+% present, the last is code to use if the character is not present. The
+% first argument must end with code that handles the character.
+%
+% The reason for the \cs{long} in the code when the next token is
+% \cs{relax} is that it may be \cs{par} which has been \cs{let} equal to
+% \cs{relax} in \env{mfpic} environments.
+% \begin{macrocode}
+\mfp@DBlog{Handlers for optional parameters.}%
+\long\def\mfp@ifnextchar#1#2#3{%
+ \let\mfptmp@d=#1\def\mfptmp@a{#2}%
+ \def\mfptmp@b{#3}\mfp@checknext}%
+\def\mfp@checknext{\futurelet\@let@token\mfp@ifnch}%
+\def\mfp@ifnch{%
+ \ifx\@let@token\@sptoken
+ \let\mfptmp@c\eatspace@checknext
+ \else\ifx\@let@token\relax
+ \long\def\mfptmp@c##1{\mfp@checknext}%
+ \else\ifx\@let@token\mfptmp@d
+ \let\mfptmp@c\mfptmp@a
+ \else
+ \let\mfptmp@c\mfptmp@b
+ \fi\fi\fi\mfptmp@c}%
+\begingroup
+ \def\:{\global\let\@sptoken= }\: %
+ \def\:{\eatspace@checknext}\@xp\gdef\: {\mfp@checknext}%
+\endgroup
+% \end{macrocode}
+%
+% I've taken to making an empty optional argument the default for a lot
+% of commands. I wanted to make it possible to have the same result for
+% empty brackets (i.e., \texttt{[]}) as for omitted brackets.
+% The following helps check for emptyness. It uses a simple \cs{if} so
+% that \texttt{\#1} will be expanded. I use a non-active
+% \texttt{\textasciitilde} to test for emptyness because, even if a tilde
+% should accidentally occur in \texttt{\#1}, it will most likely be active
+% and expand to something else. In fact, in plain \TeX,
+% \cs{mfp@ifempty}\marg{\textasciitilde} will compare
+% \texttt{\textasciitilde} to \cs{penalty} and in \LaTeX{} to
+% \cs{unhbox}.
+%
+% The \cs{@ifmtarg} macro is borrowed from \file{ifmtarg.sty}.
+% It is used when a space should count as empty, but expansion isn't
+% wanted.
+% \begin{macrocode}
+\newdef\mfp@ifempty#1{%
+ \if~#1~\@xp\@firstoftwo\else\@xp\@secondoftwo\fi}%
+\begingroup
+\catcode`Q=3
+\long\gdef\@ifmtarg#1{\@xifmtarg#1QQ\@secondoftwo\@firstoftwo\@nil}%
+\long\gdef\@xifmtarg#1#2Q#3#4#5\@nil{#4}%
+\endgroup
+\newdef\@ifmtsub#1#2{\@ifmtarg{#1}{#2}{#1}}%
+\newdef\mfp@mtsub#1#2{\mfp@ifempty{#1}{#2}{#1}}%
+% \end{macrocode}
+%
+% The following is a historical holdover. Originally all optional arguments
+% were handled through \cs{do@ptparam}. Then there arose cases that did not
+% fit its assumptions and I wrote \cs{alt@ptparam}. Then, it became more
+% efficient to have \cs{mfp@ifnextchar} (defined above) and now
+% this command is defined in terms of it.
+%
+% The first argument of \cs{do@ptparam} is the command to use and the
+% second is a default value of the optional argument. The command must be
+% defined, and it must be a command whose first argument is delimited by
+% `{\tt[}' and `{\tt]}'. Currently this is no longer used: all commands
+% use one of the variants below.
+% \begin{macrocode}
+\newdef\do@ptparam#1#2{\mfp@ifnextchar[{#1}{#1[#2]}}%
+% \end{macrocode}
+%
+% These are variations on the above. In \cs{simple@opt}, if an optional
+% argument is present, we check to see if it is empty and substitute the
+% default if it is. This was so named because I intended that it be used
+% only if the optional argument required no further parsing (because it
+% turned the argument into a nondelimited one). But now we use it even
+% then and the few commands that require further parsing handle it more or
+% less ad hoc.
+%
+% \cs{null@opt} is a convenient abbreviation for a common case: the
+% default option is null.
+% \begin{macrocode}
+\newdef\simple@opt#1#2{%
+ \mfp@ifnextchar[{\process@opt{#1}{#2}}{#1{#2}}}%
+\newdef\process@opt#1#2[#3]{%
+ \mfp@ifempty{#3}{#1{#2}}{#1{#3}}}%
+\newdef\null@opt#1{\mfp@ifnextchar[{#1}{#1[]}}%
+% \end{macrocode}
+%
+% Quite a few \mfpic{} commands stuff several parameters into a
+% single optional argument. Generally, these commands can be coded to
+% proceed gracefully if the last parameter is missing (substituting a
+% default). However, if more than that are missing, \TeX{} gobbles the
+% closing bracket and produces pretty inscrutable error mesages. This
+% (adding extra information in one optional argument) was, in retrospect,
+% a bad design decision that was made for backward compatibility and
+% (originally) to minimize the changes in existing commands.
+% Unfortunately we are stuck with it for at least the near future.
+%
+% We use the following utility to check for empty optional parameters.
+% \begin{itemize}
+% \item {\tt\#1} is the parameter to test (passed by some other macro)
+% \item {\tt\#2} is what to use if {\tt\#1} is empty.
+% \item {\tt\#3} is the command being passed the optional argument
+% \end{itemize}
+% We use a \cs{mfp@ifempty} so \texttt{\#1} will get expanded (often we
+% pass arguments as macros). After the above revamping of optional
+% argument handling, we ended up needing this code only once.
+% \begin{macrocode}
+\newdef\do@mtparam#1#2#3{\mfp@ifempty{#1}{#3[#2]}{#3[#1]}}%
+% \end{macrocode}
+%
+%
+% \section{Writing to the \file{.mf} or \file{.mp} file}\label{writing}
+%
+% \subsection{Preserving linebreaks}\label{linebreaks}
+%
+% Some macros can take quite long arguments (we call them
+% \cs{@listmac}\,s), especially if they are automatically generated by
+% some program. While the output file need not ever be looked at, there
+% can be a problem with lines too long for the \MF{} executable's line
+% buffer. Plus, for debugging, we might want to examine the file \mfpic{}
+% writes. We therefore try to get at least the list macros to preserve
+% linebreaks on output.
+%
+% \DescribeMacro{\mfpicobeylines}
+% We make use of the \TeX{} property that expandable commands are
+% expanded inside \cs{write} commands, but unexpandable commands and
+% characters are written verbatim (almost). If this were the only
+% consideration, nothing would need to be done. But characters with
+% catagory code 5 (end-of-line) are converted to spaces upon reading, so
+% we have to change the category of the \cs{endlinechar}, or we have
+% change the \cs{endlinechar} to a character in a different category.
+% We do the former, because the line a macro starts on will already have
+% the end-of-line character added, but its category will not yet be
+% established. We need a category that \TeX{} will not \emph{ignore},
+% but that nevertheless has no (or minimal) side effects if encountered in
+% a \TeX{} file. We therefore make it active, but \cs{let} it equal to
+% \cs{relax}. This makes the end-line-character unexpandable.
+% \begin{macrocode}
+\mfp@DBlog{Direct output to Metafont/Post file.}%
+\begingroup
+ \catcode\mfp@ctrlM\active%
+ \gdef\@activectrlM{^^M}%
+ \gdef\mfpicobeylines{\catcode\mfp@ctrlM\active\let^^M\relax}%
+\endgroup
+% \end{macrocode}
+%
+% The choice \cs{relax} seems to be actually a slightly better choice
+% than \cs{endgraf} (which we used to use, and which equals the
+% unexpandable primative \cs{par}) because \cs{relax} is permitted before
+% the opening brace in the syntax of \meta{general text} (for token
+% variable assignments, \cs{write}, \cs{message}, and the like) as well as
+% being skipped in mfpic's version of \cs{@ifnextchar}.
+%
+% \DescribeMacro{\preservelines}
+% The character assigned to \cs{endlinechar} is added to the end of all
+% lines read in by \TeX. The character assigned to \cs{newlinechar}
+% will produce a newline when it occurs in a \cs{write}. Our
+% \cs{preservelines} ensures these are the same and makes the above
+% changes in category.
+% \begin{macrocode}
+\newdef\preservelines{\newlinechar\mfp@ctrlM
+ \endlinechar\newlinechar \mfpicobeylines}%
+% \end{macrocode}
+%
+% \DescribeMacro{\unpreservelines}
+% This is no longer used and may some day be removed. Grouping is
+% enough to isolate effects of \cs{preservelines}. The command
+% \cs{unpreservelines} simply restores the catcode of control-M to the
+% control-M to the usual in formats consistent with plain \TeX. If we
+% really wanted to reverse the effects of \cs{preservelines}, we'd have to
+% save and restore the four items changed: the values of \cs{newlinchar}
+% and \cs{endlinechar}, the category of control-M, and the definition of
+% an active control-M.
+% \begin{macrocode}
+\newdef\unpreservelines{\catcode\mfp@ctrlM=5 }%
+% \end{macrocode}
+%
+% \DescribeMacro{\mfsrc}
+% \DescribeMacro{\mfcmd}
+% \DescribeMacro{\mflist}
+% We want these to issue \cs{preservelines} before the text is read
+% (and category codes assigned). Also we often want to add a few items to
+% the argument (figure macros append a semi-colon, list macros surround
+% with parentheses), so we isolate the common starting code in
+% \cs{@mfwrite}, and then invoke the appropriate continuation command.
+% The ending code is in \cs{@mfsrc}. The \cs{begingroup} in
+% \cs{@mfwrite} matches the \cs{endgroup} in \cs{@mfsrc}. The group
+% isolates the changes to EOLs. We also equate \cs{@nl} to an active
+% control-M so that it can be used for line breaks in cases where it is
+% inconvenient to make EOLs active (in the replacement text of
+% \cs{opengraphsfile} and \cs{@mfpic}, for example).
+% \begin{macrocode}
+\newdef\mfsrc {\@mfwrite\@mfsrc\mfsrc}%
+\newdef\mfcmd {\@mfwrite\@mfcmd}%
+\newdef\mflist{\@mfwrite\@mflist}%
+\newdef\@mfwrite{\begingroup
+ \preservelines \let\@nl\@activectrlM}%
+% \end{macrocode}
+%
+% The macro \cs{@mfsrc} does the job of writing to files. The output
+% stream \cs{mfp@out} is declared later. The other two commands invoke
+% \cs{@mfsrc} on a slightly modified argument. The first argument to
+% \cs{@mfsrc} is the command that called it (for the error message), the
+% second is the code to write.
+% \begin{macrocode}
+\newdef\@mfsrc#1#2{%
+ \@ifmfpfileisopen{\immediate\write\mfp@out{#2}}%
+ {\nooutputfileerror{#1}}\endgroup}%
+\newdef\@mfcmd#1{\@mfsrc\mfcmd{#1;}}%
+\newdef\@mflist#1{\@mfsrc\mflist{(#1);}}%
+% \end{macrocode}
+%
+% \subsection{Initializing the output file}\label{output}
+%
+% Category 12 characters percent, sharp and backslash signs for the
+% \file{.mf} file. The command \cs{mf@d} is used to write a line of
+% dashes above and below each figure to make them stand out when debugging
+% the file. This might be removed in the final distribution.
+% \begin{macrocode}
+\newdef\mfp@gobble#1{}%
+\edef\mf@p{\@xp\mfp@gobble\string\%}% percent (%)
+\edef\mf@s{\@xp\mfp@gobble\string\#}% sharp (#)
+\edef\mf@b{\@xp\mfp@gobble\string\\}% backslash (\)
+\newdef\mf@d{--------------}%
+% \end{macrocode}
+%
+% Used to mark ends of things, \cs{mfp@delim} should never be expanded,
+% but we give it a definition for debugging purposes:
+% \begin{macrocode}
+\newdef\mfp@delim{%
+ \mfp@errmsg {Misplaced \string\mfp@delim.}%
+ {If you get this message but did not (mis)use the command^^J%
+ \mfp@delim, please report this to the mfpic maintainer.}}%
+% \end{macrocode}
+%
+% The current date and time stamp will be written to the \file{.mf} file.
+% We calculate it here and store the result in these macros. The commands
+% \cs{normalyear} and \cs{normalmonth} are part of \ConTeXt, where they
+% have been equated to the primitive commands \cs{year} and \cs{month}
+% (which are then redefined).
+% \begin{macrocode}
+{\mfp@ifdefined\normalmonth
+ {\let\month\normalmonth\let\year\normalyear}{}%
+ \xdef\mfp@today{\number\year/\ifnum\month<10 0\fi\number\month/%
+ \ifnum\day<10 0\fi\number\day}%
+ \count2=\time \divide\count2 by 60
+ \xdef\mfp@now{\ifnum\count2<10 0\fi\number\count2:}%
+ \multiply\count2 by -60 \advance\count2 \time
+ \xdef\mfp@now{\mfp@now\ifnum\count2<10 0\fi\number\count2 }}%
+% \end{macrocode}
+%
+% These registers are allocated:
+% \begin{itemize}
+% \item \cs{mfp@out} Write stream for the \file{.mf} or \file{.mp} file.
+% \item \cs{mfp@graph} Read stream used to test existence of files and
+% for reading datafiles.
+% \item \cs{mfp@count} Number for next \env{mfpic} environment.
+% \item \cs{mfp@linetype} Current line style in multi-curve data plots.
+% \item \cs{mfp@n} Scratch counter, so far used only in writing data to
+% the \file{.mf} file.
+% \item \cs{mfp@sequence} Counter incremented with every datapoint written
+% from a file to implement the feature that a list of numeric data can be
+% plotted against its sequence position.
+% \item \cs{mfp@toks} Temporary token register.
+% \item \cs{every@tlabel} Tokens inserted at every \cs{tlabel}.
+% \item \cs{mfp@verbtex} A temporary token list used by \cs{mfpverbtex}.
+% \item \cs{mfp@commonverbatimtex} Tokens written at the start of every
+% output file inside a \mfc{verbatimtex} group.
+% \end{itemize}
+% \begin{macrocode}
+\mfp@DBlog{Declarations used with data and graphs files.}%
+\newwrite\mfp@out
+\newread\mfp@graph
+\newlet\mfp@data\mfp@graph
+\newcount\mfp@count
+\newcount\mfp@linetype
+\newcount\mfp@n
+\newcount\mfp@sequence
+\newtoks\mfp@toks
+\newtoks\every@tlabel
+\newtoks\mfp@verbtex
+\newtoks\mfp@commonverbatimtex
+\every@tlabel{}%
+% \end{macrocode}
+%
+% We store most of the \mfc{verbatimtex} block that \mfpic{} relies on in
+% the token register \cs{mfp@commonverbatimtex}. We do that because it
+% relies on a couple of catcode changes and we want to be in a situation
+% where we have that under control. Each line will end with an active
+% ctrl-M, which is transformed by \cs{mfsrc} into a newline.
+% \begin{macrocode}
+\begingroup
+ \let\newtoks\relax
+ \@makeother\%\@makeother\#\preservelines
+ \global\mfp@commonverbatimtex=
+ {\def\MFPtext#1{%
+ \vbox{\def\\{\cr}\MFPcfont\everylabel
+ \halign{##\hfil\cr#1\crcr}}}%
+ }\endgroup
+% \end{macrocode}
+%
+% \DescribeMacro{\opengraphsfile}
+% This is the main command to set up the output file. It also aims to
+% check whether \MF{} or \MP{} has already been run on the output file,
+% thereby determining whether the graphics can be included. It does this
+% by checking for the existence of one of the products of these programs.
+% In the case of \MF{} it looks for a \file{.tfm} file; in the case of
+% \MP{} it looks for the first output graphic.
+%
+% The name of the output file is its only parameter, and it appends
+% the extension \file{.mf} or \file{.mp} depending on the whether option
+% \opt{metafont} or \opt{metapost} was chosen.
+% \begin{macrocode}
+\mfp@DBlog{Macros to open and close graphs files.}%
+\newdef\opengraphsfile#1{\@bsphack
+% \end{macrocode}
+% A command can determine if it occurs after \cs{opengraphsfile} but
+% before \cs{closegraphsfile} by testing whether \cs{mfp@filename} is defined.
+% \begin{macrocode}
+ \@ifmfpfileisopen%
+ {\Mfpic@warn
+ {An attempt has been made to open a graph file, #1,
+ \@msgbreak while another, \mfp@filename, is still open.
+ \@msgbreak Closing \mfp@filename.}%
+ \@closegraphsfile}%
+ {}%
+ \xdef\mfp@filename{#1}%
+% \end{macrocode}
+% The value of \cs{mfp@count} should be the number of the first figure.
+% We use the existence of that figure as a signal that there are graphics
+% to be included.
+% \begin{macrocode}
+ \mfp@ifmpost{%
+ \openin\mfp@graph=\setfilename{\mfp@filename}{\number\mfp@count}%
+ \relax
+ \ifeof\mfp@graph \mfp@msg{}%
+ \Mfpic@msg
+ {No file \setfilename{\mfp@filename}{\number\mfp@count}.^^J}%
+ \global\mfpicdrafttrue
+ \else
+ \global\mfpicdraftfalse
+ \fi
+% \end{macrocode}
+% Type out the \MP-specific portion of a reminder to process the
+% output. Then on to the \MF{} case.
+% \begin{macrocode}
+ \if@mfp@nowrite \else
+ \immediate\openout\mfp@out=\mfp@filename.mp\relax
+ \Mfpic@msg{Don't forget to process \mfp@filename.mp! %
+ \@msgbreak (Apply metapost to \mfp@filename.mp.)}%
+ \fi
+ }{% metafont
+% \end{macrocode}
+% Under the \opt{metafont} option, we check for the \file{.tfm} file.
+% We do not simply try to load the font because that might trigger
+% some \prog{maketfm} script which could be disastrous at this point,
+% when the \file{.mf} file is in an uncertain state. We open the
+% \file{.tfm} for input, and check \cs{ifeof}, as we did in the
+% \MP{} graphic case.
+% \begin{macrocode}
+ \openin\mfp@graph=\mfp@filename.tfm\relax
+ \ifeof\mfp@graph \mfp@msg{}%
+ \Mfpic@msg{No file \mfp@filename.tfm .^^J}%
+ \global\let\@graphfont=\mfp@dummy
+ \global\mfpicdrafttrue
+% \end{macrocode}
+% If it does exist, we load the font and in either case type out the
+% \MF{} specific portion of our reminder.
+% \begin{macrocode}
+ \else
+ \global\font\@graphfont=\mfp@filename\relax
+ \global\mfpicdraftfalse
+ \fi
+ \if@mfp@nowrite \else
+ \immediate\openout\mfp@out=\mfp@filename.mf\relax
+ \Mfpic@msg{Don't forget to process \mfp@filename.mf! %
+ \@msgbreak (Apply metafont to \mfp@filename.mf, %
+ then gftopk to the resulting gf file.)}%
+ \fi
+ }%
+% \end{macrocode}
+% The input stream used for testing is closed and the
+% unspecific portion of the reminder is typed out, then
+% the above settings of \cs{ifmfpicdraft} are overridden if the user has
+% explicitly chosen the \opt{draft} or \opt{final} option. The
+% \opt{nowrite} option merely disables the \cs{@mfsrc} command.
+% \begin{macrocode}
+ \closein\mfp@graph
+ \if@mfp@nowrite\else
+ \Mfpic@msg{Then reprocess this file (\jobname).^^J}%
+ \fi
+ \if@mfp@draft\global\mfpicdrafttrue\fi
+ \if@mfp@final\global\mfpicdraftfalse\fi
+ \if@mfp@nowrite\gdef\@mfsrc##1##2{}\fi
+% \end{macrocode}
+% The first two lines of the output file are comments identifying the
+% file, the \mfpic{} version, the tex source file, and the date.
+% Then we let \grafbase{} know the \mfpic{} version creating the file.
+% After that we set the \mfc{mode}, the \mfc{mag} (both ignored by \MP),
+% and arrange for \grafbase{} macros to be loaded. The current
+% \grafbase{} checks the \gbc{mfpicversion}: if it is unknown, or not
+% equal to the value of \gbc{grafbaseversion}, a diagnostic message is
+% printed.
+% \begin{macrocode}
+ \mfsrc{%
+ \mf@p\space\mfp@filename.m\mfp@ifmpost{p}{f}, %
+ generated by Mfpic, v\mfpfileversion\space\mfpfiledate,\@nl
+ \mf@p\space from TeX source "\jobname" %
+ on \mfp@today\space at \mfp@now\@nl
+ numeric mfpicversion; mfpicversion:=\mfpicversion;\@nl
+ if unknown mode: mode := localfont; fi\@nl
+ if unknown mag: mag := \number\mag/1000; fi\@nl
+ if unknown grafbase: input grafbase; fi\@nl\@nl
+% \end{macrocode}
+% Then a comparison of the version of this file, stored in
+% \cs{mfpicversion} with the version stored in the \grafbase{} variable
+% \mfc{grafbaseversion}. This should catch mismatches the previous test
+% would miss.
+% \begin{macrocode}
+ if unknown grafbaseversion: grafbaseversion := 0; fi\@nl
+ if grafbaseversion <> mfpicversion :\@nl
+ GBmsg "Bad mfpic installation: mfpic and grafbase %
+ versions do not match.";\@nl
+ fi\@nl}%
+% \end{macrocode}
+% For \opt{metapost} we need to load some color macros also, and write
+% some setup for text labels (even if \cs{nomplabels}, because
+% \cs{usemplabels could be turned on later}). \MF{} now can also handle
+% the definitions in \file{dvipsnam.mp} but it seems a waste to load all
+% those definitions just to get a few more grayscales (even given \MF{}
+% can find that file).
+% \begin{macrocode}
+ \mfp@ifmpost
+ {\mfsrc{%
+ if unknown Apricot: input dvipsnam.mp; fi\@nl
+ verbatimtex\@nl
+ \the\mfp@commonverbatimtex\@nl
+ \def\noexpand\everylabel{\the\every@tlabel}\@nl
+ \if@mfp@verbtex \the\mfp@verbtex\@nl \fi
+ etex;\@nl}%
+ \global\@mfp@verbtexfalse\mfp@verbtex{}%
+% \end{macrocode}
+% Finally, we write information to the output file, and/or set switches
+% based on the options as they are currently known. The \cs{usemplabels}
+% was delayed until now so that the order of it and \cs{usemetapost}
+% before now would not matter. The other five are issued now because they
+% might require a write to the output file.
+% \begin{macrocode}
+ \@ifmplabels{\usemplabels}{}%
+ \if@mfp@truebbox \usetruebbox \fi
+ \if@mfp@overlabels \overlaylabels \fi}{}%
+ \if@mfp@clip \clipmfpic \fi
+ \if@mfp@clearsym \clearsymbols \fi
+ \if@shipping\else\stopshipping\fi
+ \@esphack}%
+% \end{macrocode}
+%
+% \DescribeMacro{\closegraphsfile}
+% This finishes off the output files and undefines \cs{mfp@filename}.
+% We define an error message free version \cs{@closegraphsfile} for
+% internal use. We unconditionally undefine \cs{mfp@filename} just in
+% case.
+% \begin{macrocode}
+\newdef\closegraphsfile{%
+ \@ifmfpfileisopen{}{\nooutputfileerror\closegraphsfile}%
+ \@closegraphsfile \global\let\mfp@filename\UndEfInEd}%
+\newdef\@closegraphsfile{%
+ \@ifmfpfileisopen
+ {\if@mfp@nowrite \else
+ \mfsrc{\@nl end.}\immediate\closeout\mfp@out
+ \fi}{}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\nooutputfileerror}
+% We define a generic error message for macros that need an output file
+% to write to. \cs{mfsrc} uses it, as does \cs{closegraphsfile}.
+% \cs{mfpic} also uses it even though all its writes take place through
+% \cs{mfsrc}. This avoids potentially hundreds of error messages.
+% \begin{macrocode}
+\def\nooutputfileerror#1{%
+ \mfp@errmsg {No output file has been opened.}%
+ {You have tried to used a command, #1, that requires an output^^J%
+ file to be opened with the \opengraphsfile command, which^^J%
+ was either not issued or was not successful.}}%
+% \end{macrocode}
+%
+%
+% \section{\Mfpic{} dimensions}\label{dimensions}
+%
+% A number of packages, especially figure drawing packages, allocate a
+% great many dimension registers. The most familiar example is \PiCTeX{}
+% which is at least partially responsible for most ``No room for a new
+% \cs{dimen}'' error messages. \Mfpic{} also needs many dimension
+% values, but some are set by macros that simply write the value to the
+% \file{.mf} file and do not use any registers. A few are stored in
+% \TeX{} registers, but most are stored using a trick with font
+% dimensions.
+% \begin{macrocode}
+\mfp@DBlog{Using dummy font's dimensions, to spare TeX registers.}%
+% \end{macrocode}
+% While most fonts have relatively few font dimensions (twenty-two is a
+% common number), it turns out that if one loads a font and immediately
+% assigns a value to \cs{fontdimen}~$n$, Then \TeX{} acts as if the font
+% has \cs{fontdimen}\,s 0 through $n$ available. They can be assigned
+% dimension values just like \TeX{} dimension registers.
+%
+% Virtually all \TeX{} systems have a \file{dummy.tfm}, which contains
+% no characters (it is used for syntax checking by some packages and
+% classes). Since this trick will only work if we are the first to
+% load the font (the \AmSTeX{} document style \file{amsppt.sty} loads
+% the dummy font), we use another trick, which is to load it scaled to
+% some unlikely value, which \TeX{} treats as a new font.
+% \begin{macrocode}
+\font\mfp@dummy=dummy scaled 1042
+\fontdimen100\mfp@dummy=0pt
+% \end{macrocode}
+%
+% Some versions of \file{dummy.tfm} have values already assigned to font
+% dimensions 0 through 22. It would probably not hurt to use those, but
+% we'll be cautious and use only font dimensions 23 and up, making 78
+% available.
+%
+% We use an auxiliary count register to keep track of new font dimens.
+% \begin{macrocode}
+\newcount\mfp@fdc
+\mfp@fdc=22
+% \end{macrocode}
+% \DescribeMacro{\newfdim}
+% We define a macros that mimics the behavior of \cs{newdimen}, for
+% allocating font dimension numbers. It increments \cs{mfp@fdc} and
+% defines its argument \texttt{\#1} to expand to an assignment of the
+% current \cs{fontdimen}.
+% \begin{macrocode}
+\newdef\newfdim#1{%
+ \global\advance\mfp@fdc 1
+ \xdef#1{\fontdimen\number\mfp@fdc\mfp@dummy}%
+ \wlog{\string#1=\string\fontdimen\number\mfp@fdc\mfp@dummy}}%
+% \end{macrocode}
+% The definition (\cs{xdef}) is global since font dimension
+% assignments are always global anyway. \TeX{} will not accept font
+% dimensions in its syntax for the dimension arithmetic commands
+% \cs{advance}, \cs{multiply} and \cs{divide}. In the rare cases where we
+% need to do this we assign the value to a temporary register and
+% calculate with it. It is, however OK to use them with a numeric factor.
+%
+% We allocate a couple of boxes. At the end of an \mfpic{}
+% environment, \cs{@wholegraph} is loaded with the picture (possibly
+% null) as it exists then. Inside the environment, when text labels are
+% processed, \cs{@textbox} holds this text temporarily so it can be
+% measured, moved about, etc. We also define abbreviations for the
+% frequent commands that specify the dimensions of \cs{@textbox}
+% \begin{macrocode}
+\mfp@DBlog{A box register for whole labeled graph, %
+ and a temporary one.}%
+\newbox\@wholegraph
+\newbox\@textbox
+\newdef\tb@ht{\ht\@textbox}% height,
+\newdef\tb@dp{\dp\@textbox}% depth and
+\newdef\tb@wd{\wd\@textbox}% width of the text label.
+% \end{macrocode}
+%
+% When labels are processed, they are accumulated in the box
+% \cs{@alltlabels}. We allocate it, and four \cs{newfdim}\,s for the
+% location of the four sides.
+% \begin{macrocode}
+\newbox\@alltlabels
+\newfdim\@tlabelstop
+\newfdim\@tlabelsbot
+\newfdim\@tlabelsleft
+\newfdim\@tlabelsright
+% \end{macrocode}
+%
+% It can be argued that dimensions not needed by \TeX{} should be stored
+% in the output file rather than allocating (font) dimensions. These are
+% everything below from \cs{pointsize} through \cs{symbolspace},
+% inclusive. This would make syncronictity between \TeX{} and \MF{} easier
+% to maintain. Those that are needed by \TeX{} are then few enough to be
+% regular \cs{dimen} registers, making them automatically local to each
+% \env{mfpic} environment. Unfortunately, changing to such a scheme could
+% break some past \mfpic{} files. It would also require recoding every
+% command that now writes one of these dimensions to the output.
+%
+% One of these (\cs{@graphright}) is unused, except for debugging.
+% We could also code around \cs{@graphwd} because it is always
+% \cs{wd}\cs{@wholegraph}. ^^A Is this true? Check it out.
+% \begin{macrocode}
+\mfp@DBlog{Internal dimension parameters for graph dimensions...}%
+\newfdim\@graphwd
+\newfdim\@graphright
+\newfdim\@graphleft
+\newfdim\@graphtop
+\newfdim\@graphbot
+\mfp@DBlog{...and dimension parameters for tlabel positioning.}%
+\newfdim\tb@raise
+\newfdim\tb@moveright
+\newfdim\tb@totalht
+% \end{macrocode}
+%
+% The following are for label adjustments. The first two are used to
+% implement the feature that all labels can be simultaneously shifted an
+% equal amount. The last is for the feature that the label can be a
+% certain distance separated from the point where it is placed.
+% \begin{macrocode}
+\newfdim\tlabel@hadj
+\newfdim\tlabel@vadj
+\newfdim\tlabel@sep
+\tlabel@hadj=0pt
+\tlabel@vadj=0pt
+\tlabel@sep=0pt
+% \end{macrocode}
+%
+% The following are default parameters for various graphics commands that
+% take an optional argument for the size of something. We allocate them,
+% and then initialize them.
+% \begin{macrocode}
+\mfp@DBlog{User level dimension parameters, with default settings.}%
+\newfdim\mfpicunit % unit of length
+\newfdim\pointsize % diameter of circle
+\newfdim\shadespace % spacing of shade dots
+\newfdim\polkadotspace % spacing of polkadots
+\newfdim\hatchspace % spacing of lines
+\newfdim\headlen % size of arrowhead (\arrow)
+\newfdim\axisheadlen % size of arrowhead (x, y axes)
+\newfdim\sideheadlen % size of arrowhead (border axes)
+\newfdim\hashlen % length of marks on axes
+\newfdim\dashlen % length of dashes (\dashed)
+\newfdim\dashspace % space between dashes
+\newfdim\dotsize % size of dots (\dotted)
+\newfdim\dotspace % space between dots
+\newfdim\symbolspace % space between symbols (\plot)
+%
+\mfpicunit=1pt
+\pointsize=2pt
+\shadespace=1pt
+\polkadotspace=10pt
+\hatchspace=3pt
+\headlen=3pt
+\axisheadlen=5pt
+\sideheadlen=0pt
+\hashlen=4pt
+\dashlen=4pt
+\dashspace=4pt
+\dotsize=0.5pt
+\dotspace=3pt
+\symbolspace=5pt
+% \end{macrocode}
+%
+% Font dimensions are global, and so not restricted to an \env{mfpic}
+% environment even when assigned inside one. This would require the
+% user to restore a value every time one picture needed a different
+% value from the rest. To avoid requiring this, the following macro is
+% used to save all values of these dimensions at the start of a picture,
+% and to restore the saved values at the end. (Some internal dimensions
+% (\cs{@graph...}, for example) don't need saving since they are reset
+% with each picture.)
+% \begin{macrocode}
+\newdef\save@mfpicdimens{%
+ \edef\restore@mfpicdimens{%
+ \mfpicunit =\the\mfpicunit
+ \pointsize =\the\pointsize
+ \shadespace =\the\shadespace
+\polkadotspace =\the\polkadotspace
+ \hatchspace =\the\hatchspace
+ \headlen =\the\headlen
+ \axisheadlen =\the\axisheadlen
+ \sideheadlen =\the\sideheadlen
+ \hashlen =\the\hashlen
+ \dashlen =\the\dashlen
+ \dashspace =\the\dashspace
+ \dotsize =\the\dotsize
+ \dotspace =\the\dotspace
+ \symbolspace =\the\symbolspace
+ \tlabel@hadj =\the\tlabel@hadj
+ \tlabel@vadj =\the\tlabel@vadj
+ \tlabel@sep =\the\tlabel@sep}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\mfpframesep}
+% \DescribeMacro{\mfpframethickness}
+% \DescribeMacro{\mfpicheight}
+% \DescribeMacro{\mfpicwidth}
+% \DescribeMacro{\mfpiccaptionskip}
+% Here are the few dimension registers we do allocate. The first two are
+% scratch registers, the next two govern frames, and the last two are set
+% after each picture to that pictures size. A \cs{vskip} of
+% \cs{mfpiccaptionskip} is placed between figure and caption by
+% \cs{tcaption}.
+% \begin{macrocode}
+\newdimen\mfp@scratch
+\newdimen\mfp@scratchB
+\newdimen\mfpframesep
+\newdimen\mfpframethickness
+\newdimen\mfpicheight
+\newdimen\mfpicwidth
+\newskip\mfpiccaptionskip
+\mfpframethickness0.4pt
+\mfpframesep2pt
+\mfpiccaptionskip=\medskipamount
+% \end{macrocode}
+%
+%
+% \section{Helper macros}\label{helper}
+%
+% \DescribeMacro{\mfpicnumber}
+% We make a user-level macro for setting the number of the next graph.
+% The purpose of this is so that the output file can be used as a font,
+% setting the figure numbers to the ascii codes of printable characters.
+% Then creating a composite figure is as easy as changing fonts:
+% \marg{\cs{pic} ABABAAB}. The motivation came from a discussion on
+% \texttt{comp.text.tex} started by someone who wanted to input a sequence
+% of 0's and 1's and get a corresponding sequence of black and white
+% squares.
+% \begin{macrocode}
+\def\mfpicnumber#1{\global\mfp@count=#1\relax}%
+% \end{macrocode}
+%
+% \DescribeMacro{\mfpaddto}
+% When placing text at intervals on an axis, we need to automatically
+% calculate coordinates to feed to the \cs{tlabel} command. The
+% following is a utility macro to add two real numbers. It is currently
+% used only in the \cs{axislabels} command, so it needn't be globally
+% defined, but it might be handy in the future.
+% \begin{itemize}
+% \item[] \texttt{\#1} is a \emph{macro} that expands to some number.
+% \item[] \texttt{\#2} is a number to add to it.
+% \end{itemize}
+% The result is stored again in \texttt{\#1}, overwriting the old value.
+%
+% \DescribeMacro{\mfpmultiply}
+% For my personal use (or for power users), this is the multiplicative
+% version, with the same syntax and behavior.
+% \begin{macrocode}
+\newdef\mfpaddto#1#2{\mfp@scratch=#1pt\advance\mfp@scratch#2pt
+ \edef#1{\mfp@strippt\mfp@scratch}}%
+\newdef\mfpmultiply#1#2{\mfp@scratch=#1pt \mfp@scratch#2\mfp@scratch
+ \edef#1{\mfp@strippt\mfp@scratch}}%
+\begingroup
+ \@makeother P\@makeother T\lowercase{\gdef\mfp@factor#1PT{#1}}%
+\endgroup
+\newdef\mfp@strippt{\@xp\mfp@factor\the}%
+% \end{macrocode}
+%
+% A few user-level utilities.
+%
+% \DescribeMacro{\pointdef}
+% A point defining macro, suggested by a user.
+% \begin{itemize}
+% \item[] \texttt{\#1} is a symbolic name for a point, only letters.
+% \item[] \texttt{\#2} and \texttt{\#3} are the coordinates.
+% \item[] Usage: \cs{pointdef}\marg{A}\parg{2,5} makes \cs{A} expand
+% to \texttt{(2,5)}, \cs{Ax} to \texttt{2}, and \cs{Ay} to
+% \texttt{5}.
+% \end{itemize}
+% \begin{macrocode}
+\newdef\pointdef#1(#2,#3){%
+ \@namedef{#1}{(#2,#3)}\@namedef{#1x}{#2}\@namedef{#1y}{#3}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\pairarray}
+% \DescribeMacro{\numericarray}
+% The first enables the simultaneous definition of \MF{} pair variables
+% \mfc{A1}, \mfc{A2}, etc, \mfc{A[n]} by writing,
+% \cs{pairarray}\marg{A}\marg{\meta{list}}, the list being a list of
+% $n$ ordred pairs. Numeric variables can be created similarly with the
+% second command.
+% \begin{macrocode}
+\newdef\pairarray#1{%
+ \mfcmd{save #1}\mfsrc{textpairs (#1)}\mfp@writedata}%
+\newdef\numericarray#1{\mfcmd{save #1; numeric #1; numeric #1[]}%
+ \mfsrc{list (#1)}\mfp@writedata}%
+% \end{macrocode}
+%
+% \DescribeMacro{\lightershade}
+% \DescribeMacro{\darkershade}
+% Shade adjustment macros. They just multiply or divide \cs{shadespace}
+% by 1.2.
+% \begin{macrocode}
+\newdef\lightershade{\shadespace=1.2\shadespace}%
+\newdef\darkershade{\shadespace=.833333\shadespace}%
+% \end{macrocode}
+%
+% \DescribeMacro{\dashlineset}
+% \DescribeMacro{\dotlineset}
+% The following arrange for contrastive dashed lines. \cs{dashlineset}
+% just resets the default parameters that the \cs{dashed} macro uses,
+% \cs{dotlineset} sets these parameters so that \cs{dashed} produces
+% something almost dotted.
+% \begin{macrocode}
+\newdef\dashlineset{\dashlen=4pt \dashspace=4pt}%
+\newdef\dotlineset{\dashlen=1pt \dashspace=2pt}%
+% \end{macrocode}
+%
+% \DescribeMacro{\ifpointfill}
+% With the commands \cs{pointfilltrue} or \cs{pointfillfalse} the user
+% can specify points drawn with the \cs{point} command to be either
+% filled in or not.
+% \begin{macrocode}
+\let\ifpointfill\iftrue
+\newdef\pointfilltrue{\mfp@let\ifpointfill\iftrue}%
+\newdef\pointfillfalse{\mfp@let\ifpointfill\iffalse}%
+% \end{macrocode}
+%
+%
+% \section{Macros to implement prefix commands}\label{prefix}
+%
+% \Mfpic{} prefix macros change the behavior of the figure macros.
+% Normally we want \cs{circle}\marg{...} to draw the solid outline of a
+% circle. So normally \cs{circle}\marg{...} will write a drawing command
+% followed by a path expression giving the circle to draw. But
+% \cs{dashed}\cs{circle}\marg{...} should write a \emph{dashing} command
+% and \emph{omit} the drawing command. Thus, \emph{rendering} macros
+% like \cs{dashed} need to set a switch, and figure macros like
+% \cs{circle} need to test that switch.
+%
+% Similar considerations hold for prefix macros that transform the
+% figure. The logic is that, at the \MF{} level, every figure macro
+% is syntactically a path expression. Every prefix accepts a path
+% expression as input and has a path as its return value, so a
+% combination prefix + path expression is again a path expression.
+% Prefixes may also have side effects, such as adding some ink to the
+% current picture. Such prefixes are called \emph{rendering} macros.
+% Rendering macros normally return the same path as their argument, but
+% there are macros that modify the path. Some applying a linear
+% transform, some close an open path, some return a subpath. These we call
+% \emph{modification} macros.
+%
+% This scheme is quite simple, but unfortunately too simple. To avoid
+% having to explicitly type a rendering prefix every time, we need
+% the above mentioned ability to pass information to the figure macros.
+% Moreover, \MF{} abhors an `isolated expression', so the first prefix
+% has to write something with a different syntax, and pass the info that
+% it has already done so on to later prefixes, who need to test that
+% info.
+% \begin{macrocode}
+\mfp@DBlog{Tests to control multiple prefix commands.}%
+% \end{macrocode}
+%
+% Every prefix macro needs to know if it is the first or a later one.
+% They test this \cs{if} command and also set it to false. The
+% figure macros, which are last in the chain, close by resetting it true.
+% \begin{macrocode}
+\newif\if@startfig\@startfigtrue
+% \end{macrocode}
+%
+% If a prefix is a rendering prefix, it writes the rendering code
+% and sets the following switch to false, letting the figure macro know
+% it needn't invoke the default rendering,
+% Figure macros close by resetting it true. Some modification macros don't
+% touch it at all (the \cs{@modmac}\,s) others just test it
+% (\cs{@closmac}\,s).
+% \begin{macrocode}
+\newif\if@imrend\@imrendtrue
+% \end{macrocode}
+%
+% The following macro is always (and only) invoked by the first prefix
+% macro. It writes the code that prevents an isolated expression. It
+% stores the following path expression in the variable \gbc{curpath}. Thus
+% every combination of prefixes followed by a figure macro is
+% syntactically a \MF{} variable assignment command.
+% \begin{macrocode}
+\newdef\store@path{\mfsrc{\@nl store (curpath)}}%
+% \end{macrocode}
+%
+% Every prefix and figure macro has to invoke \cs{@firststage}, since
+% each is potentially the first in the sequence. If
+% \cs{if@startfig} is true, it writes the storing command, sets
+% \cs{@startfigfalse}, and says that rendering is needed. (The
+% rendering macros immediately cancel that switch.)
+% \begin{macrocode}
+\newdef\@firststage{\relax
+ \if@startfig \store@path \@imrendtrue \@startfigfalse\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\@rendmac}
+% Every rendering macro invokes this command. After the first-stage code
+% it writes its rendering command (via \cs{mfsrc}) and passes on the info
+% that rendering is no longer required of the figure macro.
+% \begin{macrocode}
+\newdef\@rendmac{\@firststage \@imrendfalse \mfsrc}%
+% \end{macrocode}
+%
+% \DescribeMacro{\@modmac}
+% It is possible we should call this something else, as only \cs{arrow}
+% and \cs{reverse} use \cs{@modmac}. Other modifications cause the
+% modified path to be drawn as if (modifier+figure) were a solitary figure
+% macro. This would be pointless for a reversed path or a path with
+% arrowhead added, as presumably the original path would already be drawn.
+% Moreover, it can be argued (for \MP{} at least) that the arrowhead
+% should be drawn on top of the shaft. This is the only significant effect of
+% coding \cs{arrow} and \cs{reverse} as \cs{@modmac}\,s.
+%
+% It simply invokes the common first-stage code and writes its \MF{} code.
+% \begin{macrocode}
+\newdef\@modmac{\@firststage \mfsrc}%
+% \end{macrocode}
+%
+% \DescribeMacro{\@closmac}
+% Other modification macros were added later, and it turned out that
+% they needed the same treatment as the closure macros that already
+% existed. Therefore, most modification macros invoke \cs{@closmac}. The
+% \emph{figure} macros proceed as follows: they invoke the \cs{@firststage}
+% code, then write a rendering macro if necessary, then make
+% \cs{@starfigtrue} (for the next figure), then write \MF{} code that
+% defines the path. These modification macros do only the first two,
+% counting on the figure macro to follow to invoke the last two. The idea
+% is that {closure + figure} should act the same as if the path it defines
+% were encoded as a single figure command.
+%
+% The \cs{@modmac} and \cs{@closmac} macros differ only when there are
+% no preceeding rendering macros. In that case it is as if \cs{draw} (or
+% more generally \cs{@render}) precedes the \cs{@closmac} macro. That
+% drawing happens \emph{in addition to} any rendering macros that follow.
+% This implicitly added \cs{draw} is not present for \cs{@modmac} macros,
+% unless it is added by the following figure macro itself.
+% \begin{macrocode}
+\newdef\@closmac{\@firststage \if@imrend\@xp\@render\fi \mfsrc}%
+% \end{macrocode}
+%
+% \DescribeMacro{\setrender}
+% As mentioned above, when a figure macro is invoked without a
+% rendering prefix, it will invoke some default. That default is stored
+% in the macro \cs{@render}, which can be changed for special effects.
+% Initially we define it as \cs{draw} to draw solid paths, but provide a
+% command for the user to change it.
+% \begin{macrocode}
+\newdef\@render{\draw[]}%
+\newdef\setrender#1{\mfp@def\@render{#1}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\@figmac}
+% A figure macro will invoke the common first-stage code, then check
+% if rendering is needed. If so, it issues the \cs{@render} command.
+% It also resets the startfig switche. Since a figure macro completes
+% an assignment command in \MF, we use \cs{mfcmd}, which places a
+% semicolon at the end of the code it writes. We define the first part
+% (all but the writing) as a separate command because there are a few cases
+% where we need to delay that writing.
+% \begin{macrocode}
+\newdef\@figmacstart{%
+ \@firststage \if@imrend\@xp\@render\fi \@startfigtrue}%
+\newdef\@figmac{\@figmacstart\mfcmd}%
+% \end{macrocode}
+%
+% \DescribeMacro{\@listmac}
+% The list macros take as their last argument a list of $(x,y)$ pairs.
+% That list can either be typed directly into
+% the \TeX{} source file (inside braces, separated by commas) or be
+% present in an external datafile. Either way, the data is written
+% as a list of \MF{} pairs within an enclosing pair of
+% parentheses. Since these are all figure macros, \cs{@listmac} starts out
+% just like \cs{@figmac}, but it writes only part of its arguments, the
+% last one being handled by \cs{mfp@writedata}.
+%
+% \cs{mfp@writedata} looks ahead to see if the token \cs{datafile}
+% follows, if it does \cs{mfp@writefile} is invoked, which gobbles
+% the \cs{datafile} token and processes the filename that should follow it.
+% Otherwise, \cs{mflist} is invoked to write the list in braces
+% that should follow.
+%
+% \cs{mfp@writedata} is also used by non-figure macros such as the axis
+% marks macros, plus \cs{piechart} and \cs{barchart}.
+% \begin{macrocode}
+\newdef\@listmac#1{\@figmacstart\mfsrc{#1}\mfp@writedata}%
+\newdef\mfp@writedata{%
+ \mfp@ifnextchar\datafile{\mfp@writefile}{\mflist}}%
+\newdef\mfp@writefile\datafile#1{\@processdatafile{#1}{\mfp@rwdata}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\mftitle}
+% \DescribeMacro{\tmtitle}
+% These go here because they didn't seem to go anywhere else. The are
+% mainly for debugging the example files. \cs{getmfp@toks} assigns the
+% following group to a token register and then invokes its argument.
+% \cs{mftitle} and \cs{tmtitle} use this to write the code into
+% the string argument of the \grafbase{} command \gbc{mftitle}.
+% \cs{mftitle} does only that, while \cs{tmtitle} also writes the argument
+% to the \file{.log} file and typesets it in the document.
+%
+% We write the argument as a token list because that is the the easiest
+% verbatim-like way to do it.
+% \begin{macrocode}
+\newif\if@mfpswitch
+\newdef\mftitle{\@bsphack\@mfpswitchtrue\mfp@gettoks\mf@title}%
+\newdef\tmtitle{\mfp@gettoks\tm@title}%
+\newdef\mfp@gettoks#1{\afterassignment#1\mfp@toks=}%
+\newdef\tm@title{\@mfpswitchfalse\mf@title
+ \wlog{\the\mfp@toks}{\the\mfp@toks}}%
+\newdef\mf@title{\mfsrc{}%
+ \immediate\write\mfp@out{mftitle "\the\mfp@toks";}%
+ \if@mfpswitch\@esphack\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\noship}
+% \DescribeMacro{\stopshipping}
+% \DescribeMacro{\resumeshipping}
+% To turn off character shipping for duration of innermost enclosing
+% group (eg, \env{mfpic} environment). As far as I know it has never been
+% tested with \MP. (It hasn't been tested recently even in \MF.) The \MF{}
+% code prevents the figure from being added to the font, the \TeX{} switch
+% \texttt{shipping} is checked before \cs{endmfpic} attempts to add the
+% (nonexistent) figure to the document.
+% \begin{macrocode}
+\newdef\stopshipping{\mfp@let\if@shipping\iffalse
+ \@ifmfpfileisopen{\mfcmd{save shipit;def shipit = relax enddef}}{}}%
+\newdef\resumeshipping{\mfp@let\if@shipping\iftrue
+ \@ifmfpfileisopen{\mfcmd{save shipit;def shipit = shipit_ enddef}}{}}%
+\newlet\noship\stopshipping
+\resumeshipping
+% \end{macrocode}
+%
+%
+% \section{Macros for getting data from files}\label{rwdata}
+%
+% The following command contains the common code to open a data file for
+% reading. The first parameter is the filename, the second is what to do
+% if it exists and is nonempty. We first try to \cs{openin} the file and
+% issue an error message if that fails. Then we skip any initial blank
+% lines and comments and complain if that takes us to the end of the
+% file. Otherwise we execute the command specified. Afterwards, since
+% each \cs{plotdata} command in a given \env{mfpic} environment
+% starts with the linetype at which the previous one ended, we allow the
+% value of \cs{mfp@linetype} to survive the group. If \texttt{\#2} is
+% not \cs{plotdata}, this is harmless (I hope).
+% \begin{macrocode}
+\newdef\@processdatafile#1#2{%
+ \openin\mfp@data=#1\relax
+ \ifeof\mfp@data \nodatafileerror{#1}%
+ \else
+ \begingroup
+ \mfp@resetwhitespace \mfp@setcomment
+ \skipBlanksandComments
+ \ifeof\mfp@data \emptydatafileerror{#1}\else #2\fi
+ \global\mfp@n=\mfp@linetype
+ \endgroup
+ \mfp@linetype=\mfp@n
+ \fi
+ \closein\mfp@data}%
+% \end{macrocode}
+%
+% \DescribeMacro{\nodatafileerror}
+% \DescribeMacro{\emptydatafileerror}
+% These are error messages for missing or empty data files:
+% \begin{macrocode}
+\newdef\nodatafileerror#1{%
+ \mfp@errmsg{No data file: #1 .}%
+ {The data file you tried to plot can't be found.}}%
+\newdef\emptydatafileerror#1{%
+ \mfp@errmsg{Empty data file: #1 .}%
+ {The file you tried to plot contains only empty lines and comments.}}%
+% \end{macrocode}
+%
+% When reading files it is important that white space in the files
+% always have the same meaning for \TeX{}. This utility resets spaces,
+% tabs and EOLs to the standard categories.
+% \begin{macrocode}
+\newdef\mfp@resetwhitespace{%
+ \catcode`\^^M=5 \catcode`\ =10 \catcode`\^^I=10 }%
+% \end{macrocode}
+%
+% \DescribeMacro{\skipcomments}
+% This does what it says, skipping comments in a data file. It reads a
+% line from a previously opened file (input stream \cs{mfp@data}) and
+% compares it to \cs{@empty}. It calls itself when they are equal (a
+% comment line). When this macro finishes, \cs{mfp@temp} contains either
+% \cs{par} (blank line or EOF) or real data.
+% \begin{macrocode}
+\mfp@ifdefined\@empty{}{\def\@empty{}}%
+\newdef\skipcomments{\read\mfp@data to \mfp@temp
+ \ifx\mfp@temp\@empty \@xp\skipcomments\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\skipBlanksandComments}
+% This command first skips comments. After that \cs{mfp@temp} can contain
+% \cs{par}, indicating either EOF or a blank line, or something else.
+% In the first case (EOF) the macro terminates, in the second case (blank)
+% it calls itself again, in the third case it also terminates, having
+% presumably found real data.
+%
+% When this is called, a file should already be open (by
+% \cs{@processdatafile}) using the handle \cs{mfp@data}.
+%
+% The macro \cs{@XP} causes two macros after the next token to be
+% expanded, removing the two \cs{fi}\,s (and so avoiding deep nesting).
+% \begin{macrocode}
+\newdef\skipBlanksandComments{\skipcomments
+ \ifeof\mfp@data
+ \else\ifx\mfp@temp\mfp@par \@XP\skipBlanksandComments
+ \fi\fi}%
+% \end{macrocode}
+%
+% The following two commands, \cs{mfp@rwdata} and \cs{mfp@rwdataloop}
+% perform the work of writing the file (read stream \cs{mfp@data} opened
+% by \cs{@processdatafile}).
+%
+% The counter \cs{mfp@n} is used to keep track of how many lines of the
+% data file have been written to one line of the output. The token
+% \cs{sequence} in a \cs{using} specification will expand to the value of
+% the counter \cs{mfp@sequence}.
+%
+% When this first macro is called, a non-blank line has been read to the
+% macro \cs{mfp@temp}, to which we now add a space. The macro
+% \cs{mfp@buffer} is what will be written to the output file as soon as it
+% is long enough. We initialize it by defining it to be an open
+% parenthesis followed by the result of applying \cs{parse@data} to the
+% contents of \cs{mfp@temp}. Then we call \cs{mfp@rwdataloop}, which does
+% the actual reading and writing.
+% \begin{macrocode}
+ \def\mfp@rwdata{\mfp@n=1 \mfp@sequence=1
+ \def\sequence{\number\mfp@sequence}%
+ \edef\mfp@temp{\mfp@temp\space}%
+ \edef\mfp@buffer{(\@xp\parse@data\mfp@temp\mfp@delim}%
+ \mfp@rwdataloop}%
+% \end{macrocode}
+%
+% At this point, the buffer has been started with the first datum, so we
+% read another line. If that is blank, we write the buffer (and the closing
+% parenthesis and a semicolon) and terminate the loop. Otherwise we go
+% through a loop:
+% \begin{enumerate}
+% \item Increment the sequence counter,
+% \item add a comma to the buffer,
+% \item test whether the buffer is `full', and
+% \item add the datum to the buffer. If the buffer is full in step~3, it is
+% written to the output and cleared before going to step~4.
+% \end{enumerate}
+% \cs{mfp@rwdataloop} loops by calling itself at the end. Whenever
+% \cs{mfp@temp} is empty (comment line read), (1)--(4) are skipped and
+% another line read.
+% \begin{macrocode}
+ \def\mfp@rwdataloop{%
+ \read\mfp@data to \mfp@temp
+ \ifx\mfp@temp\mfp@par
+ \mfcmd{\mfp@buffer)}%
+ \else
+ \ifx\mfp@temp\@empty % comment line, read another
+ \else
+ \edef\mfp@temp{\mfp@temp\space}%
+ \advance\mfp@sequence1
+ \edef\mfp@buffer{\mfp@buffer\mfp@join}%
+ \ifnum\mfp@n<\mfpdataperline\relax
+ \advance\mfp@n1
+ \else
+ \mfsrc{\mfp@buffer}%
+ \mfp@n=1
+ \def\mfp@buffer{}%
+ \fi
+ \edef\mfp@buffer{\mfp@buffer
+ \@xp\parse@data\mfp@temp\mfp@delim}%
+ \fi
+ \@xp\mfp@rwdataloop
+ \fi}%
+% \end{macrocode}
+%
+%
+% \section{Various \CMF{} Settings.}\label{MFsettings}
+%
+% \DescribeMacro{\drawpen}
+% \DescribeMacro{\pen}
+% \DescribeMacro{\penwd}
+% Macros that write changes in default \grafbase{} variables now use the
+% construct ``\gbc{save x; <type> x; x := <value>;}'' (via a call to
+% \cs{setmfvariable}). This makes changes local if inside a given \env{mfpic}
+% environment, global if outside. An exception is \gbc{penwd} which, as an
+% internal variable uses `\gbc{interim}' instead (via the \grafbase{}
+% command \gbc{resizedrawpen}). Both \cs{drawpen} and \cs{pen} have been
+% used in the past, while \cs{penwd} is more consistent with other
+% commands, so we keep all three.
+% \begin{macrocode}
+\newdef\drawpen#1{\mfcmd{\@nl resizedrawpen (#1)}}%
+\newlet\pen=\drawpen \newlet\penwd=\drawpen
+% \end{macrocode}
+%
+% \DescribeMacro{\shadewd}
+% The \cs{shade} macro works in \MF{} by adding many copies of the small
+% picture \gbc{shadedot} to the figure, in \MP{} the parameters
+% \gbc{shadewd} and \cs{shadespace} are simply used to calculate a level
+% of gray and a color fill is used.
+%
+% \DescribeMacro{\polkadotwd}
+% However, both \MF{} and \MP{} handle polkadots the same. The only
+% difference is \MF's need for fitting to a pixel grid. But that is
+% handled in \grafbase.
+% \begin{macrocode}
+\newdef\shadewd#1{\setmfnumeric{shadewd}{#1}}%
+\newdef\polkadotwd#1{\setmfnumeric{polkadotwd}{#1}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\hatchwd}
+% The thickness of lines in the hatching fill.
+% \begin{macrocode}
+\newdef\hatchwd#1{\setmfnumeric{hatchwd}{#1}%
+ \setmfvariable{pen}{hatchpen}{pencircle scaled hatchwd}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\dashpattern}
+% A dash pattern consists (internal to \MF) of three arrays. The
+% \grafbase{} command \gbc{dashpat} accepts a name, and a sequence of
+% numbers representing the sizes of dashes and spaces, and builds these
+% arrays.
+% \begin{macrocode}
+\newdef\dashpattern#1#2{\mfcmd{save #1; dashpat (#1) (#2)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\settension}
+% This sets the default tension for \cs{curve} commands, as well as for
+% any command that takes an optional argument of the form
+% \oarg{s\meta{tens}}. This includes \cs{function}, \cs{plrfcn},
+% \cs{fcncurve}, \cs{datafile}, \cs{plotdata} and others. It also sets the
+% default tension for \cs{sclosed} and \cs{bclosed}. The value should be
+% at least $3/4$.
+% \begin{macrocode}
+\newdef\settension#1{\setmfnumeric{default_tension}{#1}}%
+% \end{macrocode}
+%
+%
+% \section{Settings for text label placement in
+% figures}\label{labelsettings}
+%
+% \cs{tlabel}\,s are `justified' by placing a particular point of the
+% text at the location specified. The \cs{tlabel} command accepts an
+% optional argument containing two letters. There are 4 possibilities
+% for the first and three for the second. It turns out to be easier to
+% process these if we have a command that converts these to numbers, and
+% then \cs{ifcase} can be used. There is a third part of the optional
+% argument usable only in \MP{}: a number indicating degrees of rotation.
+%
+% \DescribeMacro{\tlabeljustify}
+% The multi-part definition of \cs{tlabeljustify} is to guard
+% against confusing error messages if some part of this optional argument
+% is empty. The code assumes that if there are only 2, 1 or no parts, then
+% later parts should be left unchanged. The rotation part is empty by
+% default (rather than 0), because some commands will emit a warning if
+% a nonempty rotation exists without \opt{mlabels}.
+%
+% The result of \cs{tlabeljustify} is that \cs{tl@vpos} is set equal to
+% $-1$ if the first letter is (default) \texttt{B} (for Baseline), and
+% 0--2 if it is \texttt{b} (bottom), \texttt{c} (center) or \texttt{t}
+% (top). Similarly, \cs{tl@hpos} is set equal to $-1$ if the second
+% letter is (default) \texttt{l} (for left), and 0 or 1 if it is
+% \texttt{c} (center) or \texttt{r} (right).
+%
+% The rotation part is just saved in \cs{tlabel@rot}. This is now true
+% even without \opt{mplabels} in case it is turned on later. It is
+% ignored by \cs{tlabel} without \opt{mplabels}, but a warning is issued
+% here anyway.
+% \begin{macrocode}
+\newcount\tl@vpos \newcount\tl@hpos
+\tl@vpos=-1 \tl@hpos=-1
+\newdef\tlabel@rot{}%
+%
+\newdef\tlabeljustify#1{%
+ \mfp@ifempty{#1}{}{\mfp@justify#1\mfp@delim}}%
+\def\mfp@justify#1#2\mfp@delim{\mfp@local\mfp@vconv{#1}%
+ \mfp@ifempty{#2}{}{\@mfp@justify#2\mfp@delim}}%
+\newdef\@mfp@justify#1#2\mfp@delim{%
+ \mfp@local\mfp@hconv{#1}\mfp@local\edef\tlabel@rot{#2}
+ \@ifmplabels{}%
+ {\mfp@ifempty{#2}{}%
+ {\Mfpic@warn{Rotation of labels is not supported without the
+ mplabels\@msgbreak option. Rotation may be ignored\@online .}}}}%
+\newdef\mfp@vconv#1{%
+ \if B#1\tl@vpos=-1 \else
+ \if b#1\tl@vpos= 0 \else
+ \if c#1\tl@vpos= 1 \else
+ \if t#1\tl@vpos= 2 \else
+ \tl@vpos=-1 \mfp@justifyerror
+ \fi\fi\fi\fi}%
+\newdef\mfp@hconv#1{%
+ \if l#1\tl@hpos=-1 \else
+ \if c#1\tl@hpos= 0 \else
+ \if r#1\tl@hpos= 1 \else
+ \tl@hpos=-1 \mfp@justifyerror
+ \fi\fi\fi}%
+\newdef\mfp@justifyerror{%
+ \mfp@errmsg{Invalid justification parameter for text label.}%
+ {The optional argument for a text label must be^^J%
+ one of B, b, c or t^^J
+ followed by l or r or c,^^J%
+ followed by an angle (optionally).}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\tlpathjustify}
+% This acts just like \cs{tlabeljustify} from the user's point of view.
+% Since it is only for users, and not used internally, it merely defines
+% three macros that \cs{@@@tlpath} passes on to \cs{tlabeljustify} when no
+% justification parameter is present.
+% \begin{macrocode}
+\newdef\tlpathjustify#1{%
+ \mfp@ifempty{#1}{}{\tlp@justify#1\mfp@delim}}%
+\newdef\tlp@justify#1#2\mfp@delim{\mfp@def\tlpath@v{#1}%
+ \mfp@ifempty{#2}{}{\tlp@@justify#2\mfp@delim}}%
+\newdef\tlp@@justify#1#2\mfp@delim{%
+ \mfp@def\tlpath@h{#1}\mfp@def\tlpath@r{#2}}%
+\tlpathjustify{cc}%
+% \end{macrocode}
+%
+% \DescribeMacro{\tlabelsep}
+% \DescribeMacro{\tlabeloffset}
+% \cs{tlabelsep} takes an absolute length as its argument and sets
+% parameters that determine by how much a label is separated from the
+% point it is placed at. This is in case something is drawn at that point,
+% such as a dot or a hash mark on an axis.
+%
+% \cs{tlabeloffset}, on the other hand, takes a pair of dimensions,
+% representing offsets. This is mainly so that, if labels seem to be off,
+% they can all be shifted with one command.
+%
+% Both these values are written to the \MF{} file for the sake of the
+% commands that draw rectangles or ovals around labels.
+% \begin{macrocode}
+\newdef\tlabelsep#1{\mfp@local\tlabel@sep=#1\relax
+ \setmfnumeric{label_sep}{\the\tlabel@sep}}%
+\newdef\tlabeloffset#1#2{%
+ \mfp@local\tlabel@hadj=#1\relax \mfp@local\tlabel@vadj=#2\relax
+ \setmfvariable{pair}{label_adjust}%
+ {(\the\tlabel@hadj,\the\tlabel@vadj)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\everytlabel}
+% Every line of a multiline label is written inside a group, so
+% adjustments to baselineskip and other things are difficult or impossible.
+% Therefore, \cs{everytlabel} is provided to define tokens to be inserted
+% before the label code, outside these groups. It is not itself a token
+% variable, so that that it can write the tokens to the \MP{} file once,
+% instead of at every label.
+% \begin{macrocode}
+\newdef\everytlabel{\afterassignment\@everytlabel
+ \mfp@local\every@tlabel}%
+\newdef\@everytlabel{%
+ \mfp@ifmpost
+ {\@ifmfpfileisopen
+ {\mfcmd{verbatimtex\@nl
+ \def\noexpand\everylabel{\the\every@tlabel} etex}}%
+ {}}%
+ {}}%
+% \end{macrocode}
+%
+%
+% \section{Other settings}\label{othersettings}
+%
+% \DescribeMacro{\headshape}
+% This sets the arrowhead shape. The parameters are: the ratio of width
+% to length, the tension (see \file{grafbase.dtx}) and a boolean
+% (\gbc{true} or \gbc{false}) to say whether the the head is filled, or
+% only the barbs are drawn. (In retrospect, it would have been more
+% consistent with other commands to have one \TeX{} parameter with commas
+% separating the components.)
+% \begin{macrocode}
+\newdef\headshape#1#2#3{\mfcmd{\@nl headshape (#1, #2, #3)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\mfpdefinecolor}
+% \prog{Mfpic} supports color under \MP{} by writing all color
+% definitions to the output \file{.mp} file. In order to support a
+% \LaTeX-like color syntax, all the color models allowed by the color
+% package correspond to a \grafbase{} function that returns a \MP{}
+% color value. For example, \gbc{cmyk(.3,.3,0,.7)} returns \gbc{(0,0,.3)},
+% a very dark blue. This can be set by
+% \cs{mfpdefinecolor}\marg{vdblue}\marg{cmyk}\marg{.3,.3,0,.7}.
+%
+% \DescribeMacro{\fillcolor}
+% \DescribeMacro{\drawcolor}
+% \DescribeMacro{\headcolor}
+% \DescribeMacro{\hatchcolor}
+% \DescribeMacro{\pointcolor}
+% \DescribeMacro{\tlabelcolor}
+% \DescribeMacro{\backgroundcolor}
+% To support the syntax
+% \cs{fillcolor}\oarg{\meta{model}}\marg{\meta{parameters}}, we just
+% call \cs{@mfpcolor} with the \grafbase{} color variable name
+% \gbc{fillcolor}.
+% \begin{macrocode}
+\newdef\mfpdefinecolor#1#2#3{\setmfcolor{#1}{#2(#3)}}%
+\newdef\fillcolor{\@mfpcolor{fillcolor}}%
+\newdef\drawcolor{\@mfpcolor{drawcolor}}%
+\newdef\headcolor{\@mfpcolor{headcolor}}%
+\newdef\hatchcolor{\@mfpcolor{hatchcolor}}%
+\newdef\pointcolor{\@mfpcolor{pointcolor}}%
+\newdef\tlabelcolor{\@mfpcolor{tlabelcolor}}%
+\newdef\backgroundcolor{\@mfpcolor{background}}%
+\newdef\@mfpcolor#1{%
+ \mfp@ifnextchar[{\mfp@color{#1}}{\setmfcolor{#1}}}%
+\newdef\mfp@color#1[#2]#3{\setmfcolor{#1}{#2(#3)}}%
+% \end{macrocode}
+%
+% When \cs{plotdata} is used to draw several graphs from one file, each
+% sequence of non-blank lines corresponds to a different curve with a
+% different style of rendering. The user has the option to cycle through
+% different dashing patterns, different colors, or different symbols.
+%
+% Internally, \cs{plotdata} issues the command \cs{mfp@setstyle} (which
+% can be defined to be any rendering macro), followed by a path defining
+% command such as \cs{curve} or \cs{polyline}, followed by a command
+% that reads the data and writes it in a suitable format. The following
+% commands essentially allow the user to select the rendering macro.
+% They start by resetting \cs{mfp@linetype}, the count register that keeps
+% track of how many curves have been drawn, then they define
+% \cs{mfp@setstyle}.
+%
+% \DescribeMacro{\dashedlines}
+% \cs{dashedlines} uses the rendering prefix \cs{gendashed} with 6
+% different dashing patterns \gbc{dashtype0} through \gbc{dashtype5}.
+% These are actually selected in \MF{} through the command
+% \gbc{getdashpat}. This takes care of cycling back to
+% \gbc{dashtype0} when the number of available dash patterns is exceeded.
+% Dashed lines is the default.
+% \begin{macrocode}
+\newdef\dashedlines{\mfp@local\mfp@linetype0
+ \mfp@def\mfp@setstyle{\gendashed{getdashpat\number\mfp@linetype}}}%
+\dashedlines
+% \end{macrocode}
+%
+% \DescribeMacro{\coloredlines}
+% This uses \cs{draw} with an optional color parameter set
+% to \gbc{colortype0} through (by default) \gbc{colortype 7}. These are
+% color variables defined by \grafbase{}. It also issues a warning if
+% \MF{} is being used. As with \cs{dashedlines}, a \MP{} command
+% \gbc{getcolor} selects these colors.
+% \begin{macrocode}
+\newdef\coloredlines{%
+ \mfp@ifmpost
+ {\mfp@local\mfp@linetype0
+ \mfp@def\mfp@setstyle{\draw [getcolor\number\mfp@linetype]}}%
+ {\Mfpic@warn{You can't use \string\coloredlines\space in
+ Metafont.\@msgbreak Using \dashedlines instead}%
+ \dashedlines}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\pointedlines}
+% This makes a sort of dotted line, except the dots are actually different
+% symbols. It uses the rendering macro \cs{plot} with a parameter cycling
+% through 9 different symbols.
+% \begin{macrocode}
+\newdef\pointedlines{\mfp@local\mfp@linetype0
+ \mfp@def\mfp@setstyle{\plot{getsymbol\number\mfp@linetype}}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\datapointsonly}
+% \cs{datapointsonly} uses symbols like \cs{pointedlines}, but places
+% them only at the data points from the file. It uses the rendering macro
+% \cs{plotnodes} with a parameter cycling through the same 9 symbols.
+% \begin{macrocode}
+\newdef\datapointsonly{\mfp@local\mfp@linetype0
+ \mfp@def\mfp@setstyle{\relax
+ \plotnodes{getsymbol \number\mfp@linetype}}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\reconfigureplot}
+% This command allows the user to set the dashes, colors and symbols used
+% by the \cs{plotdata} command. The first argument is the plotting method
+% to be changed (\texttt{dashes}, \texttt{colors}, or \texttt{symbols})
+% and the second argument is a comma separated list of appropriate type
+% variables for \cs{plotdata} to cycle through. For example,
+% \cs{reconfigureplot}\marg{dashes} takes a list of dashing patterns
+% (previously defined by the \cs{dashpattern} command) separated by
+% commas. It writes a command instructing \MF{} to redefine the arrays
+% \mfc{dashtype0}, \mfc{dashtype1}, etc., used with \cs{gendashed} when
+% \cs{dashedlines} is in effect. The number of patterns is counted by \MF,
+% which also handles the mod-ing operation now.
+%
+% \cs{reconfigureplot}\marg{colors} takes a list of colors (expressions or
+% color names previously defined) separated by commas. It redefines
+% \gbc{colortype0}, etc., used with \cs{plotdata} when \cs{coloredlines}
+% is in effect.
+%
+% \cs{reconfigureplot}\marg{symbols} takes a list of symbols (\MF{} path
+% expressions, one of the symbols available to \cs{plotsymbol}, or path
+% names defined by \cs{store}) separated by commas. It redefines
+% \gbc{pointtype0}, etc., used by \cs{plotdata} when \cs{pointedlines} or
+% \cs{datapointsonly} is in effect.
+%
+% \DescribeMacro{\defaultplot}
+% This restores \mfpic's predefined defaults for dash patterns, colors and
+% symbols in \cs{plotdata}. The one argument is one of the words
+% \texttt{dashes}, \texttt{colors}, or \texttt{symbols}, indicating which
+% plotting method is to be restored.
+% \begin{macrocode}
+\newdef\reconfigureplot#1{\mfsrc{setdata#1}\mfp@writedata}%
+\newdef\defaultplot#1{\mfcmd{default#1}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\mfplinetype}
+% \DescribeMacro{\mfplinestyle}
+% The user-level commands \cs{mfplinetype} and \cs{mfplinestyle} allow the
+% user to set the starting value of \cs{mfp@linetype}. The default is to
+% start at $0$. The names ``linestyle'' and ``linetype'' come from
+% an analogous system of changing rendering in \prog{gnuplot}.
+% \begin{macrocode}
+\newdef\mfplinetype#1{\mfp@local\mfp@linetype=#1}%
+\newlet\mfplinestyle\mfplinetype
+\mfplinetype{0}%
+% \end{macrocode}
+%
+% \prog{Mfpic} has 6 possible axes, the x- and y-axes pass through the
+% origin, $(0,0)$, the four border axes are at the edges of the graph
+% space, possibly offset from it by some amount. These four commands hold
+% the amount of that offset in graph units, the default being 0.
+% \begin{macrocode}
+\newdef\mfp@lshift{0}%
+\newdef\mfp@bshift{0}%
+\newdef\mfp@rshift{0}%
+\newdef\mfp@tshift{0}%
+% \end{macrocode}
+%
+% \DescribeMacro{\axismargin}
+% \DescribeMacro{\setaxismargins}
+% \DescribeMacro{\setallaxismargins}
+% These are the user-level command for setting the above offsets. The
+% first argument to \cs{axismargin} is one of the letters l, b, r, or t to
+% select the axis and the second is the offset in graph units. A positive
+% offset represents an inward shift, which is why we call them
+% \emph{margins}. The arguments of \cs{setaxismargins} are four offsets
+% for the axes (in the above order, which is anticlockwise, starting
+% with the left). \cs{setallaxismargins} takes one offset and applies it
+% to all axes.
+%
+% The values are passed on to \MF{} in the variables \gbc{laxis},
+% \gbc{baxis}, \gbc{raxis}, and \gbc{taxis}. They are also needed by the
+% \cs{axislabels} command so they are saved in macros.
+% \begin{macrocode}
+\newdef\axismargin#1#2{\setmfnumeric{#1axis}{#2}%
+ \mfp@local\@namedef{mfp@#1shift}{#2}}%
+\newdef\setaxismargins#1#2#3#4{\axismargin l{#1}\axismargin b{#2}%
+ \axismargin r{#3}\axismargin t{#4}}%
+\newdef\setallaxismargins#1{\setaxismargins{#1}{#1}{#1}{#1}}%
+% \end{macrocode}
+%
+% The following converts axis letters to a numeric, making conditionals for
+% axes simpler to code (\cs{ifcase} versus the six nested \cs{if}\,s we
+% see here.) Plus we get to define the error message only once. The
+% first argument is the letter and the second argument is the calling
+% command (for the error message).
+% \begin{macrocode}
+\newcount\mfp@axisnum
+\def\get@axisnum#1#2{%
+ \if x#1\relax \mfp@axisnum0
+ \else\if y#1\relax \mfp@axisnum1
+ \else\if l#1\relax \mfp@axisnum2
+ \else\if b#1\relax \mfp@axisnum3
+ \else\if r#1\relax \mfp@axisnum4
+ \else\if t#1\relax \mfp@axisnum5
+ \else
+ \mfp@errmsg {Invalid axis letter "#1".}%
+ {The command #2 requires an axis to be designated by one of^^J%
+ the following letters: x, y, l, b, r, or t. If you proceed, ^^J%
+ x will be assumed.}%
+ \fi\fi\fi\fi\fi\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\setaxismarks}
+% \DescribeMacro{\setxmarks}
+% \DescribeMacro{\setymarks}
+% \DescribeMacro{\setbordermarks}
+% \DescribeMacro{\setallbordermarks}
+% The tick marks (or hash marks) on the axes can be in three possible
+% positions: centered on the axes, all on one side, or all on the other
+% side. The default for the x- and y-axes is centered, for the border axes
+% it is inside. For changing this we provide the \cs{setaxismarks} command,
+% whose first argument is the axis letter, and whose second argument is
+% one of the words \texttt{inside}, \texttt{outside}, \texttt{centered},
+% \texttt{ontop}, \texttt{onbottom}, \texttt{onleft}, or \texttt{onright}.
+% \begin{macrocode}
+\newdef\setaxismarks#1#2{\setmfnumeric{#1tick}{#2}}%
+\newdef\setxmarks#1{\setaxismarks x{#1}}%
+\newdef\setymarks#1{\setaxismarks y{#1}}%
+\newdef\setbordermarks#1#2#3#4{\setaxismarks l{#1}\setaxismarks b{#2}%
+ \setaxismarks r{#3}\setaxismarks t{#4}}%
+\newdef\setallbordermarks#1{\setbordermarks{#1}{#1}{#1}{#1}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\smoothdata}
+% \DescribeMacro{\unsmoothdata}
+% The \cs{datafile} and \cs{plotdata} commands originally just created
+% polygonal paths, but users requested the ability to draw smooth ones.
+% Originally only the commands below (\cs{smoothdata} and
+% \cs{unsmoothdata}) were written to do this. Later, these file
+% manipulation commands were given optional arguments to achieve the same
+% effect, so now the commands below just set the defaults for the optional
+% parameter, storing them in the macros \cs{mfp@smoothness} and
+% \cs{mfp@tension}. The latter can be used to adjust the tension of the
+% \MF{} path if smoothness is `s'. Default tension is now empty rather
+% than 1 so we can implement a scheme to change the actual default used.
+% \begin{macrocode}
+\newdef\smoothdata{\null@opt\@smoothdata}%
+\newdef\@smoothdata[#1]{\mfp@def\mfp@smoothness{s}%
+ \mfp@def\mfp@tension{#1}}%
+\newdef\unsmoothdata{\mfp@def\mfp@smoothness{p}%
+ \mfp@def\mfp@tension{}}%
+\unsmoothdata% default
+% \end{macrocode}
+%
+% \DescribeMacro{\using}
+% \DescribeMacro{\usingpairdefault}
+% \DescribeMacro{\usingnumericdefault}
+% These commands control how we interpret data in a file.
+% The command \cs{using} is named after a keyword in \prog{gnuplot}. It
+% controls which datum is plotted against which by \cs{plotdata} and
+% \cs{datafile}. The default is to read the first two space separated
+% words on a line as the x- and y-coordinate of a point. To allow that
+% there might be more data on a line, it is also assumed that the second
+% word is followed by a space and the rest of the line is read as a third
+% parameter that is not used. In case there are only two words,
+% \mfpic{} will always add a space on the end and then the third
+% parameter will be empty.
+%
+% The \cs{parse@data} command reads its argument as delimited
+% parameters, and the \cs{using} command tells what those delimiters are.
+% For example, in the first part of
+% \cs{using}\marg{\#1 \#2 \#3}\marg{(\#1,\#2)}, we are telling
+% \cs{parse@data} that everything on a line up to the first space is the
+% first parameter, and everything up to the second space is the second
+% parameter and the rest of the line is the third parameter. In the second
+% part we are telling it that what we write to the output is a pair in
+% parentheses with the first two parameters separated by a comma. This
+% example is the default as we see here in \cs{usingpairdefault}. This
+% command can be issued by a user to return to that default. The user can
+% also issue \cs{usingnumericdefault} to write the first space separated
+% word as a single numeric. This is for commands like \cs{piechart}.
+%
+% \DescribeMacro{\mfpdataperline}
+% \cs{mfpdataperline} is a user level macro that controls the maximum
+% number of points that will be written to a single line in the output.
+% \begin{macrocode}
+\newdef\using#1#2{\mfp@def\parse@data#1\mfp@delim{#2}}%
+\newdef\usingpairdefault{\using{##1 ##2 ##3}{(##1,##2)}}%
+\newdef\usingnumericdefault{\using{##1 ##2}{##1}}%
+\usingpairdefault
+\newdef\mfpdataperline{5}%
+% \end{macrocode}
+%
+% The following macros are used internally by \cs{datafile} and \cs{plotdata}.
+% A comment line is read by \TeX{} as empty so we need an empty macro to
+% test against, and a blank line is read as \cs{par} (not the primitive
+% \cs{par}, but the literal token \cs{par}, so it tests as equal to
+% \cs{mfp@par}. Early versions of \cs{plotdata} wrote a literal \MF{} path
+% expression to the output file and \cs{mfp@join} created the \mfc{--}
+% between points. Now we write one of the \grafbase{} list-to-path
+% commands followed by a comma separated list of points, so \cs{mfp@join}
+% has morphed into a comma.
+% \begin{macrocode}
+\newdef\mfp@par{\par}%
+\newdef\mfp@join{,}%
+% \end{macrocode}
+%
+% \DescribeMacro{\makepercentother}
+% \DescribeMacro{\makepercentcomment}
+% \DescribeMacro{\mfpdatacomment}
+% The user can change the comment character for data files with
+% something like \cs{mfpdatacomment}\marg{\cs{\#}}. This also changes the
+% percent character to category `other'. We can also use the percent sign
+% as part of the numeric data by sandwiching the \cs{using} command
+% between \cs{makepercentother} and \cs{makepercentcomment}. Every file
+% reading command issues \cs{mfp@setcomment} before reading. The count
+% register \cs{@datacomment} hold the ASCII code of the current comment
+% character, the default being the percent sign.
+% \begin{macrocode}
+\newcount\@datacommentchar \@datacommentchar`\%
+\newdef\makepercentother{\@makeother\%}%
+\newdef\makepercentcomment{\catcode`\%=14 }%
+\newdef\mfpdatacomment#1{\mfp@local\@datacommentchar`#1}%
+\newdef\mfp@setcomment{\makepercentother\catcode\@datacommentchar14 }%
+% \end{macrocode}
+%
+% \DescribeMacro{\fdef}
+% The following is for defining functions to be used in \cs{function}
+% through \cs{plrregion}. The first argument is the name of the function,
+% the second is its variable, the last is the \MF{} code. Obviously its
+% use requires a knowledge of the \MF{} language. The function produced is
+% a \mfc{vardef}, and can contain almost arbitrary \MF{} code, but must
+% end with an expression. Normally it must be a numerical expression, to
+% be use in \cs{function}, or a pair expression so it can be used alone in
+% the last argument of \cs{parafcn}.
+%
+% We apply \cs{@makeother} to \texttt{\#} so it doesn't get doubled. The
+% \texttt{\#} is frequent in vardefs among the \MF{} gurus.
+% \begin{macrocode}
+\newdef\fdef{\begingroup\@makeother\#\preservelines\@fdef}%
+\newdef\@fdef#1#2#3{\mfcmd{\@nl save #1;\@nl
+ vardef #1 (expr #2) = \@nl #3\@nl enddef}\endgroup}%
+% \end{macrocode}
+%
+% The following is executed last inside \cs{@mfpic@graf@macs}. It is a
+% hook for adding new definitions. It is initialized to empty, and add-on
+% packages can add to it.
+% \begin{macrocode}
+\newdef\mfp@additions{}%
+% \end{macrocode}
+%
+%
+% \section{The main graphics macros}\label{main}
+%
+% In order to avoid redefining commands of other packages and in order
+% to avoid having other packages redefine \mfpic{} commands, all mfpic
+% commands that cannot be used outside the \env{mfpic} environment are
+% defined anew with every such environment. This is accomplished by having
+% the \cs{mfpic} command execute \cs{@mfpic@graf@macs}, which expands to
+% all those definitions. Grouping localizes the definitions, so outside
+% \env{mfpic} environments, these commands revert to being undefined, or
+% to there original definitions if they had any. As might be expected it
+% is quite long, over 300 lines of code at last count.
+% \begin{macrocode}
+\newdef\@mfpic@graf@macs{%
+% \end{macrocode}
+%
+% \subsection{Plotting data from files}\label{datafiles}
+%
+% \DescribeMacro{\plotdata}
+% Most of the \mfpic{} graphic commands take optional arguments. Most of
+% them follow the scheme below: \cs{@plotdata} takes a mandatory argument
+% enclosed in brackets, and does the work. \cs{plotdata} is simply defined
+% to test for an optional argument and pass it or a default to
+% \cs{@plotdata}. In this case, the default option is signaled by
+% passing empty brackets via \cs{null@opt}.
+%
+% \cs{@plotdata} follows the scheme of most of the data file processing
+% commands: it calls \cs{@processdatafile} with the name of the file (the
+% second parameter of \cs{@plotdata}) and another command, \cs{mfp@doplots},
+% which really does the work. The argument of \cs{mfp@doplots} is the
+% original optional parameter of \cs{plotdata}. This optional parameter is
+% the smoothness, which may be \oarg{s\meta{tension}} for a smooth path
+% or \oarg{p} for a polygonal path, or empty to select whatever default
+% was created by \cs{smoothdata}.
+% \begin{macrocode}
+ \newdef\plotdata{\null@opt\@plotdata}%
+ \newdef\@plotdata[##1]##2{\@processdatafile{##2}{\mfp@doplots{##1}}}%
+% \end{macrocode}
+%
+% \cs{mfp@doplots} is a self-looping macro. It issues the rendering
+% prefix (in \cs{mfp@setstyle}), increments the linetype, and writes the
+% path expression defined by the first set of data in the file (via
+% \cs{do@datafile}, which \emph{really} does the work and which stops at a
+% blank line). That part, when prefixed by \cs{@figmacstart}, functions
+% as a \cs{@figmac}. When finished with one figure, \cs{@if@enddata}
+% checks if there is another set of data in the file. If so,
+% \cs{mfp@doplots} calls itself again.
+%
+% The argument is the smoothness parameter(s), which it merely passes on.
+% There is no filename argument: since \cs{@processdatafile} has already
+% opened the input stream \cs{mfp@data} and subsequent macros will read
+% from it.
+% \begin{macrocode}
+ \def\mfp@doplots##1{\mfp@setstyle
+ \advance\mfp@linetype1 \@figmacstart
+ \do@datafile{##1}%
+ \@if@enddata{}{\mfp@doplots{##1}}}%
+% \end{macrocode}
+%
+% When two blank lines occur in succession, \cs{plotdata} is suppose to
+% stop. \cs{@ifenddata} is called when \cs{do@datafile} ends (one blank
+% line was found), it checks for another blank line (or end-of-file)
+% and, if it finds one, selects the first of the two alternatives that
+% follow.
+% \begin{macrocode}
+ \newdef\@if@enddata{% check for another blank line
+ \ifeof\mfp@data \@xp\@firstoftwo
+ \else
+ \skipcomments
+ \ifx\mfp@temp\mfp@par \@XP\@firstoftwo
+ \else \@XP\@secondoftwo
+ \fi
+ \fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\datafile}
+% \cs{datafile} defines a path connecting the points in a datafile. The
+% optional parameter is the smoothness, as in \cs{plotdata}. The other
+% parameter is the filename. \cs{@datafile} does the figure macro stuff,
+% opens the data file, and calls \cs{do@datafile} which does all the work.
+% \begin{macrocode}
+ \newdef\datafile{\null@opt\@datafile}%
+ \newdef\@datafile[##1]##2{\@figmacstart
+ \@processdatafile{##2}{\do@datafile{##1}}}%
+% \end{macrocode}
+%
+% I lied. Actually all \cs{do@datafile} does is handle any empty
+% optional parameter and call \cs{@do@datafile} to do the work.
+% \begin{macrocode}
+ \newdef\do@datafile##1{%
+ \do@mtparam{##1}{\mfp@smoothness\mfp@tension}\@do@datafile}%
+% \end{macrocode}
+%
+% And \cs{@do@datafile} is mainly just a wrapper, processing the optional
+% parameter (passed by either \cs{plotdata} or \cs{datafile}) which
+% selects what figure making code should be written. For
+% \oarg{s\meta{tension}} a \gbc{curve} command is used. For \oarg{p}, a
+% \gbc{polyline}. (The `\cs{mf@F}' means the curve is not closed).
+%
+% After that, \cs{mfp@rwdata} is called, which reads and writes the
+% data.
+% \begin{macrocode}
+ \newdef\@do@datafile[##1##2]{%
+ \mfsrc{%
+ \if s##1 \mfp@ifempty{##2}{curve }{tcurve (##2) }%
+ \else polyline
+ \fi (\mf@F)}\mfp@rwdata}%
+% \end{macrocode}
+%
+% \subsection{The prefix commands}\label{prefixcommands}
+%
+% \subsubsection{Storing and reusing a figure}\label{storing}
+%
+% \DescribeMacro{\store}
+% This stores an \mfpic{} path in a \MF{} path variable. The argument is
+% the variable name. It should be followed by an \mfpic{} figure macro
+% (such as \cs{rect}\marg{...}). The stored path can be reused via the
+% \cs{mfobj} command. This command is written as a \cs{@rendmac} even
+% though it does no rendering. This is so (1)~it will turn off implicit
+% rendering (any rendering must be explicitly written) and (2) it can be
+% placed anywhere within the prefix area. This is new behavior with
+% version 0.7. Prior to this it was required to place the path to be
+% stored as a second argument. Though that argument could contain other
+% prefixes in addition to the path, it was required that no other prefixes
+% precede \cs{store}. Note that \cs{store} takes a second argument but
+% it merely puts it back. This is so that the old syntax (with the figure
+% macro in braces) will continue to work.
+% \begin{macrocode}
+ \newdef\store##1##2{\@rendmac{stored (##1)}##2}%
+% \end{macrocode}
+%
+% \DescribeMacro{\mfobj}
+% \DescribeMacro{\mpobj}
+% This is the interface to use a \cs{store}-d object.
+% \cs{mfobj}\marg{\meta{name}} is a figure macro, and should act pretty
+% much exactly the same as if the figure macro that had been stored in the
+% variable were typed in its place. Its one argument, the variable name,
+% is read by \cs{@figmac}, which operates as described previously, either
+% implicitly rendering the path, or allowing it to be picked up by
+% preceding prefix macros.
+% \begin{macrocode}
+ \newlet\mfobj\@figmac
+ \newlet\mpobj\@figmac
+% \end{macrocode}
+%
+% \subsubsection{Subpaths}
+%
+% \DescribeMacro{\cutoffbefore}
+% This macro take one mandatory argument which is an object stored with
+% \cs{store}. It modifies the path it is prefixed to so that it starts
+% at its first point of intersection with the object, cutting off any
+% earlier part of the path.
+%
+% \DescribeMacro{\cutoffafter}
+% This is similar, except the modified path ends at the last point of
+% intersection between the following path and the object, cutting off
+% any later part of the path. It is internally the same as applying
+% \cs{cutoffbefore} to the reversed path and reversing the result.
+%
+% \DescribeMacro{\trimpath}
+% This trims off the specified amounts from the start and end of the
+% path. The amounts are two absolute dimensions, separated by commas.
+% They may be \TeX{} dimensions. If the first dimension is absent, it is
+% set to \texttt{0pt}, if the second is absent, it is set equal to the
+% first. (So if both are absent, nothing is trimmed.)
+% \begin{macrocode}
+ \newdef\cutoffafter##1{\@closmac{cutoffafter (##1)}}%
+ \newdef\cutoffbefore##1{\@closmac{cutoffbefore (##1)}}%
+ \newdef\trimpath##1{\@getdimens##1,,\mfp@delim
+ \@closmac{trimmedpath (\the\mfp@scratch, \the\mfp@scratchB)}}%
+ \newdef\@getdimens##1,##2,##3\mfp@delim{%
+ \mfp@scratch \@ifmtsub{##1}{\z@}\relax
+ \mfp@scratchB\@ifmtsub{##2}{\mfp@scratch}\relax}%
+% \end{macrocode}
+%
+% \DescribeMacro{\partpath}
+% \DescribeMacro{\subpath}
+% These produce a subpath of the following path. Each takes a mandatory
+% parameter containing two numbers separated by a comma. In
+% \cs{partpath}, these should be between 0 and 1 and produce a fraction
+% of the following path. In \cs{subpath}, these are absolute numbers between
+% 0 and the number of segments in the path, and it produces the equivalent of
+% \MF's \mfc{subpath} primitive.
+% \begin{macrocode}
+ \newdef\partpath##1{\@closmac{partialpath (##1)}}%
+ \newdef\subpath##1{\@closmac{gsubpath (##1)}}%
+% \end{macrocode}
+%
+% \subsubsection{Drawing a curve}\label{drawing}
+%
+% These are rendering macros that draw the curve in some fashion: solid,
+% dashed, colored, etc.
+%
+% \DescribeMacro{\draw}
+% \cs{draw} is the initial definition of \cs{@render}. It takes one
+% optional argument, a color. In \MF{}, where color are just numerics, if
+% it is ${}\ge 1$ (representing white) the path is subtracted from the
+% picture, otherwise it is drawn in black.
+%
+% \begin{macrocode}
+ \newdef\draw{\null@opt\@draw}%
+ \newdef\@draw[##1]{%
+ \@rendmac{\mfp@ifempty{##1}{drawn}{colordrawn (##1)}}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\dashed}
+% \cs{dashed} (as well as \cs{dotted}) takes one optional argument,
+% which should contain the length of the dashes (diameter of dots) and
+% the length of the spaces between, separated by a comma. The defaults
+% can be seen in the code below.
+% \begin{macrocode}
+ \newdef\dashed{\simple@opt\@dashed{\the\dashlen,\the\dashspace}}%
+ \newdef\@dashed##1{\@rendmac{DASHED (##1)}}%
+ \newdef\dotted{\simple@opt\@dotted{\the\dotsize,\the\dotspace}}%
+ \newdef\@dotted##1{\@rendmac{dotted (##1)}}%
+% \end{macrocode}
+%
+% \cs{gendashed} takes one mandatory argument, the name of a dash pattern
+% previously defined by \cs{dashpattern}
+% \begin{macrocode}
+ \newdef\gendashed##1{\@rendmac{gendashed (##1)}}%
+% \end{macrocode}
+%
+% \cs{plot} is like \cs{dotted}, except the dots are variously shaped
+% symbols. It takes one optional argument containing the size of the
+% symbol and the spacing, separated by a comma, and one mandatory
+% argument, the name of the symbol. This can in principal be any
+% expression of type \mfc{picture} or \mfc{path}. (In \MP, type
+% \mfc{string} is also permitted). For the size parameter to work
+% correctly, the symbol should be a path, and it should have 1 as it's
+% natural size. \Mfpic{} provides the predefined paths
+% \texttt{Triangle}, \texttt{Square}, \texttt{Circle}, \texttt{Star},
+% \texttt{Diamond}, \texttt{Plus}, \texttt{Cross} and \texttt{Asterisk}.
+% The first 5 have filled-in versions: \texttt{SolidTriangle}, etc.
+% \begin{macrocode}
+ \newdef\plot{\simple@opt\@plot{\the\pointsize, \the\symbolspace}}%
+ \newdef\@plot##1##2{\@rendmac{doplot (##2, ##1)}}%
+% \end{macrocode}
+%
+% Sometimes, rather than equally spaced dots or symbols, we would rather
+% have a symbol at each `node' of the following path. If the path is
+% created by a list macro, then usually each point in the list is a node
+% (but the spline paths are exceptions). For other figures, the nodes
+% can seem pretty random. For example, a \cs{circle} command without optional
+% argument produces a curve with 8 equally spaced nodes, but with optional
+% argument the nodes depend on how it is drawn and the size of any angle
+% parameter.
+%
+% \cs{plotnodes} has almost the same syntax as \cs{plot}, but since it
+% places the symbols only at the nodes of the path, there is no spacing
+% parameter in the optional argument.
+% \begin{macrocode}
+ \newdef\plotnodes{\simple@opt\@plotnodes{\the\pointsize}}%
+ \newdef\@plotnodes##1##2{\@rendmac{plotnodes (##2, ##1)}}%
+% \end{macrocode}
+%
+% \subsubsection{Closing a curve}\label{closing}
+%
+% \DescribeMacro{\sclosed}
+% \DescribeMacro{\bclosed}
+% \DescribeMacro{\lclosed}
+% \DescribeMacro{\cbclosed}
+% \DescribeMacro{\qbclosed}
+% \DescribeMacro{\uclosed}
+% These close a path defined by whatever figure macro follows it. The
+% first closes smoothly in the same manner that \cs{curve} creates a
+% smooth path, the second uses an ordinary \MF{} B\'ezier. These two have
+% an optional argument: the amount of tension to put in the connecting
+% link. Higher tension produces a linking segment with sharper turns near
+% the endpoints and a flatter path in between. This makes no sense with
+% \cs{lclosed}, \cs{qbclosed} or \cs{cbclosed}. The first always draws a
+% straight line and the other two requires a link explicitly determined by
+% the beginning and ending segments of the path: a cubic B-spline for
+% \cs{cbclosed} and a quadratic B-spline for \cs{qbclosed}. See
+% \cs{closedcspline} and \cs{closedqspline} described later.
+%
+% Due to a misunderstanding on my part, \cs{uclosed} was defined in a more
+% complicated manner than necessary, and actually produced exactly the
+% same path as \cs{bclosed}. So now they are just made to be equal.
+% \begin{macrocode}
+ \newdef\@closed##1##2{%
+ \@closmac{##1closed\mfp@ifempty{##2}{}{t (##2)}}}%
+ \newdef\bclosed{\null@opt\@bclosed}%
+ \newdef\@bclosed[##1]{\@closed b{##1}}%
+ \newdef\sclosed{\null@opt\@sclosed}%
+ \newdef\@sclosed[##1]{\@closed s{##1}}%
+ \newdef\lclosed{\@closed l{}}%
+ \newdef\cbclosed{\@closed{cb}{}}%
+ \newdef\qbclosed{\@closed{qb}{}}%
+ \newlet\uclosed\bclosed
+% \end{macrocode}
+%
+% \subsubsection{Filling a closed curve}\label{filling}
+%
+% The next few prefix macros fill the interior of the closed path that
+% follows with some sort of pattern. The path must be either already
+% closed (like that produced by \cs{rect} or \cs{circle}) or explicitly
+% closed with a closing prefix. A non-closed path will simply be drawn
+% with a solid line.
+%
+% \DescribeMacro{\tess}
+% \cs{tess} takes one mandatory argument, the name of a previously defined
+% tile, and fills with shifted copies of the tile.
+% \begin{macrocode}
+ \newdef\tess##1{\@rendmac{tess (##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\shade}
+% \DescribeMacro{\polkadot}
+% \cs{shade} and \cs{polkadot} take one optional parameter, the separation
+% between dots, defaulting to \cs{shadespace} (resp., \cs{polkadotspace}).
+% The size of the dots is set by issuing the command \cs{shadewd} (resp.,
+% \cs{polkadotwd}).
+% \begin{macrocode}
+ \newdef\shade{\simple@opt\@shade{\the\shadespace}}%
+ \newdef\@shade##1{\@rendmac{shade (##1)}}%
+ \newdef\polkadot{\simple@opt\@polkadot{\the\polkadotspace}}%
+ \newdef\@polkadot##1{\@rendmac{polkadot (##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\thatch}
+% \DescribeMacro{\lhatch}
+% \DescribeMacro{\rhatch}
+% \DescribeMacro{\xhatch}
+% The hatching macros mostly take two optional parameters, the
+% separation of the hatching lines (default \cs{hatchspace}) and their
+% color. One slight exception is \cs{thatch}, which is called by all the
+% others. Its first optional argument is the separation \emph{and} the
+% angle (default $0$) of the lines, separated by a comma. The other
+% hatching macros have a fixed angle. \cs{lhatch} has lines at a $-45$
+% degree angle (upper left to lower right), \cs{rhatch} produces the opposite
+% diagonal, and \cs{xhatch} does both sets of lines (cross hatching).
+% \begin{macrocode}
+ \newdef\thatch{\simple@opt\@thatch{\the\hatchspace,0}}%
+ \newdef\@thatch##1{\null@opt{\@@thatch{##1}}}%
+ \newdef\@@thatch##1[##2]{\@rendmac{%
+ \mfp@ifempty{##2}{thatch}{colorthatch (##2)} (##1)}}%
+ \newdef\lhatch{\simple@opt\@lhatch{\the\hatchspace}}%
+ \newdef\@lhatch##1{\@thatch{##1,-45}}%
+ \newdef\rhatch{\simple@opt\@rhatch{\the\hatchspace}}%
+ \newdef\@rhatch##1{\@thatch{##1,45}}%
+ \newdef\xhatch{\simple@opt\@xhatch{\the\hatchspace}}%
+ \newdef\@xhatch##1{\null@opt{\@@xhatch{##1}}}%
+ \newdef\@@xhatch##1[##2]{\@rendmac{%
+ \mfp@ifempty{##2}{xhatch}{colorxhatch (##2)} (##1)}}%
+ \newlet\hatch=\xhatch
+% \end{macrocode}
+%
+% Commands that might conceivably interfere with small bits of \TeX{}
+% code in labels have been renamed. Thus, instead of \cs{fill}, which is a
+% \LaTeX{} text mode command, we have \cs{gfill}. We also have \cs{gclear}
+% and \cs{gclip}. The `g' is for `graphic'. Later, commands that deal
+% with text (labels and captions), have `t' prepended to their more
+% natural name, thus \cs{tlabel} and \cs{tcaption}.
+%
+% \DescribeMacro{\gfill}
+% \DescribeMacro{\gclear}
+% \DescribeMacro{\gclip}
+% \cs{gfill} take one optional argument, the color with which to fill.
+% Under \MF{} the color must be a numeric (representing a level of gray)
+% or one of the color functions, which are defined in \file{grafbase.mf}
+% to return numeric values.
+%
+% \cs{gclear} will actually fill with the color \texttt{background} in \MP.
+% \cs{gclip} might seem to be the inverse of \cs{gclear} (clearing the
+% outside of a region), but in \MP{} the mechanism is completely
+% different. One wishes \MP{} had an `inverse clip' command to use
+% instead of filling with \gbc{background}. The figure macro following
+% these commands must be a closed path.
+% \begin{macrocode}
+ \newdef\gfill{\null@opt\@gfill}%
+ \newdef\@gfill[##1]{%
+ \@rendmac{\mfp@ifempty{##1}{filled}{colorfilled (##1)}}}%
+ \newdef\gclear{\@rendmac{unfilled}}%
+ \newdef\gclip{\@rendmac{Clip}}%
+% \end{macrocode}
+%
+% \subsubsection{Transforming a curve}\label{transforming}
+%
+% The following are transformation prefixes. They are all but one
+% implemented with \cs{@closmac} for reasons covered earlier. Most have a
+% mandatory argument, the parameters of the transformation. Because of the
+% implementation, one can insert rendering macros between a transformation
+% macro and the path being transformed, and they will apply to the
+% untransformed path.
+%
+% If the \env{mfpic} environment has different x and y scales, the
+% \cs{rotatepath} and \cs{reflectpath} compensates so that the result is
+% congruent to the original. The others do not because this is what users
+% seem to expect.
+% \begin{itemize}
+% \item \cs{reverse} and \cs{xyswappath} have no argument.
+% \item \cs{rotatepath} takes \marg{\meta{point},\meta{angle}}.
+% \item \cs{shiftpath} takes \marg{\meta{pair}}.
+% \item \cs{scalepath} takes \marg{\meta{center of scaling},\meta{factor}}.
+% \item \cs{xscalepath} takes \marg{\meta{x-center},\meta{factor}}.
+% \item \cs{yscalepath} takes \marg{\meta{y-center},\meta{factor}}.
+% \item \cs{slantpath} takes \marg{\meta{y-pivot},\meta{factor}}.
+% \item \cs{xslantpath} = \cs{slantpath}.
+% \item \cs{yslantpath} takes \marg{\meta{x-pivot},\meta{factor}}.
+% \item \cs{reflectpath} takes \marg{\meta{point1},\meta{point2}}, the
+% endpoints of a `mirror'.
+% \item \cs{transformpath} takes \marg{\meta{transformer}}, a \MF{}
+% `transformer' (see ``The \MF book'', page~212).
+% \end{itemize}
+%
+% All of them simply write the \grafbase{} command of nearly the same
+% name.
+% \begin{macrocode}
+ \newdef\reverse{\@modmac{reverse}}%
+ \newdef\xyswappath{\@closmac{xyswappedpath}}%
+ \newdef\rotatepath##1{\@closmac{rotatedpath (##1)}}%
+ \newdef\shiftpath##1{\@closmac{shiftedpath (##1)}}%
+ \newdef\scalepath##1{\@closmac{scaledpath (##1)}}%
+ \newdef\xscalepath##1{\@closmac{xscaledpath (##1)}}%
+ \newdef\yscalepath##1{\@closmac{yscaledpath (##1)}}%
+ \newdef\slantpath##1{\@closmac{xslantedpath (##1)}}%
+ \newlet\xslantpath\slantpath
+ \newdef\yslantpath##1{\@closmac{yslantedpath (##1)}}%
+ \newdef\reflectpath##1{\@closmac{reflectedpath (##1)}}%
+ \newdef\transformpath##1{\@closmac{transformedpath (##1)}}%
+% \end{macrocode}
+%
+% \subsubsection{Appending an arrowhead}\label{arrowhead}
+%
+% \DescribeMacro{\arrow}
+% The four macros beginning \cs{@h} are assigned default values at the
+% start and changed only if an option calls for it.
+% Each option starts with a letter (The initial letters of
+% `backset', `color', `length', or `rotate'), followed by a value
+% to assign to the corresponding variable (defaulting to \mfc{0pt},
+% \meta{empty}, \cs{the}\cs{headlen} and \gbc{0 deg}). Then \cs{arrow}
+% finishes with the invokation of \cs{@arrow}.
+% \begin{macrocode}
+ \def\arrow{\def\@hbackset{0}\def\@hcolour{}%
+ \edef\@hlength{\the\headlen}\def\@hrotate{0}%
+ \@arrow}%
+% \end{macrocode}
+%
+% \cs{@arrow} calls \cs{@arrowoption} if it finds an optional parameter.
+% After processing the parameter, \cs{@arrowoption} calls \cs{@arrow}
+% again. This loop will end when optional arguments run out. Then
+% \cs{@@arrow} finishes with the actual \MF{} code.
+% \begin{macrocode}
+ \newdef\@arrow{\mfp@ifnextchar[{\@arrowoption}{\@@arrow}}%
+ \newdef\@@arrow{%
+ \@modmac{%
+ \mfp@ifempty{\@hcolour}{headpath}{colorheadpath (\@hcolour)}%
+ \space(\@hlength, \@hrotate, \@hbackset)}}%
+% \end{macrocode}
+%
+% Since the \cs{arrow} command takes up to 4 optional arguments in any
+% order, we have this utility \cs{@arrowoption} which examines an option's
+% contents and assigns a value to an appropriate macro. Since rather nasty
+% error messages will result if the contents are empty, we test for this
+% and do nothing when there is nothing to process. \cs{@@arrowoption}
+% makes the appropriated definitions, then \cs{@arrow} is iterated to
+% catch another optional parameter.
+% \begin{macrocode}
+ \newdef\@arrowoption[##1]{%
+ \mfp@ifempty{##1}{}{\@@arrowoption##1\mfp@delim}\@arrow}%
+ \newdef\@@arrowoption##1##2\mfp@delim{%
+ \if l##1\relax \mfp@ifempty{##2}{}{\def\@hlength{##2}}%
+ \else\if r##1\relax \mfp@ifempty{##2}{}{\def\@hrotate{##2}}%
+ \else\if b##1\relax \mfp@ifempty{##2}{}{\def\@hbackset{##2}}%
+ \else\if c##1\relax \mfp@ifempty{##2}{}{\def\@hcolour{##2}}%
+ \else
+ \Mfpic@warn{Improper option to \string\arrow\@online .}%
+ \fi\fi\fi\fi}%
+% \end{macrocode}
+%
+% This ends the prefix macros.
+%
+% \subsection{Transforming the coordinate system}\label{coordinate}
+%
+% \DescribeMacro{\coords}
+% \DescribeMacro{\endcoords}
+% The following apply transforms to the \MF{} coordinate system, and
+% these can be localized with \cs{coords} $\ldots$ \cs{endcoords}. The
+% transforms apply when the curve is \emph{rendered} and have no effect
+% on paths merely stored with \cs{store} and \cs{patharr}. Moreover, if a
+% path is created with \cs{connect}, it is transformed as a whole.
+%
+% \DescribeMacro{\applyT}
+% These are implemented by \cs{applyT} which takes as its argument a \MF{}
+% `transformer'.
+%
+% These commands (except \cs{turn}, kept for backward compatibility) have
+% at most one argument, the parameters of the transformation. \cs{rotate}
+% rotates around the origin, \cs{rotatearound} rotates around a given
+% point, \cs{turn} takes the point as an optional argument.
+%
+% Transformations are applied in reverse of the order they appear in the
+% file (i.e., the most recent first).
+% \begin{macrocode}
+ \newdef\coords{\mfsrc{\@nl bcoords\@nl}}%
+ \newdef\endcoords{\mfsrc{\@nl ecoords\@nl}}%
+ \newdef\applyT##1{\mfsrc{\@nl hide(apply_t (##1))}}%
+ \def\rotate##1{\applyT{rotated ##1}}%
+ \newdef\rotatearound##1##2{%
+ \applyT{rotatedaround (##1, ##2)}}%
+ \newdef\turn{\simple@opt\@turn{(0,0)}}%
+ \newdef\@turn##1##2{\rotatearound{##1}{##2}}%
+ \newdef\reflectabout##1##2{%
+ \applyT{reflectedabout (##1, ##2)}}% line ##1--##2.
+ \let\mirror=\reflectabout
+ \newdef\shift##1{\applyT{shifted ##1}}% pair.
+ \def\scale##1{\applyT{scaled ##1}}% same scaling
+ \newdef\xscale##1{\applyT{xscaled ##1}}%
+ \newdef\yscale##1{\applyT{yscaled ##1}}%
+ \newdef\zscale##1{\applyT{zscaled ##1}}%
+ \newdef\xslant##1{\applyT{xslant ##1}}%
+ \newdef\yslant##1{\applyT{yslant ##1}}%
+ \newdef\zslant##1{\applyT{zslant ##1}}%
+ \newdef\boost##1{\applyT{boost ##1}}%
+ \newdef\xyswap{\applyT{xyswap}}%
+% \end{macrocode}
+%
+% \subsection{Axes and grids}\label{axes}
+%
+% \DescribeMacro{\axes}
+% \DescribeMacro{\xaxis}
+% \DescribeMacro{\yaxis}
+% An axis would normally not be thought of as a figure macro, because one
+% would not want to position them arbitrarily nor transform them. One
+% would also not want the hassle of having always to specify the origin,
+% etc. However, one would want to occasionally make them dotted or dashed
+% or colored.
+%
+% The original \cs{axes} was therefore not a figure macro. It always drew
+% both axes with solid lines. Later \cs{xaxis} and \cs{yaxis} were
+% introduced, which mimicked the behavior of \cs{axes}. For backward
+% compatibility, the old behavior is supported with the old commands. The
+% optional argument to \cs{axes}, \cs{xaxis} and \cs{yaxis} is the length
+% of the arrowhead, defaulting to \cs{the}\cs{axisheadlength}.
+% \begin{macrocode}
+ \newdef\xaxis{\simple@opt\@xaxis{\the\axisheadlen}}%
+ \newdef\yaxis{\simple@opt\@yaxis{\the\axisheadlen}}%
+ \newdef\axes{\simple@opt\@axes{\the\axisheadlen}}%
+ \newdef\@axes##1{\mfcmd{\@nl axes (##1)}}%
+ \newdef\@xaxis##1{\mfcmd{\@nl xaxis (##1)}}%
+ \newdef\@yaxis##1{\mfcmd{\@nl yaxis (##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\axis}
+% When border axes were added, all the code was revamped, and now we
+% create axes as figure macros. It also became clear there was so
+% much common code that it would be better to implement the syntax
+% \cs{axis}\marg{l}, etc., rather than have separate commands \cs{laxis},
+% etc. for all six possible axes. Therefore, only the x- and y-axes have
+% their own commands. The \cs{axis} command has one optional argument
+% (the arrowhead length) and one mandatory argument, a single letter
+% designating the axis to draw.
+%
+% The only complication is that the x- and y-axis have one default head
+% length, \cs{axisheadlength} (initially \texttt{5pt}), while the side
+% axes have a different default, \cs{sideheadlength} (initially \texttt{0pt}).
+% Therefore we don't know which default to use until the mandatory argument
+% is read. In \cs{@@axis}, we use \cs{get@axisnum} to check this
+% mandatory argument and convert it to a number \cs{mfp@axisnum}, which is
+% used to select the head length.
+% \begin{macrocode}
+ \newdef\axis{\null@opt\@axis}%
+ \newdef\@axis[##1]##2{\get@axisnum{##2}\axis
+ \mfp@ifempty{##1}%
+ {\edef\mfp@param{%
+ \ifnum\mfp@axisnum<2 \the\axisheadlen
+ \else \the\sideheadlen
+ \fi}\@@axis{\mfp@param}}{\@@axis{##1}}{##2}}%
+ \newdef\@@axis##1##2{\arrow[l##1]\@figmac{axisline.##2}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\doaxes}
+% \cs{doaxes} takes one optional argument, the arrowhead length, and one
+% mandatory argument, all the axes to draw. These should be just letters
+% with nothing separating them except optional spaces. \cs{doaxes} is
+% implemented via the self-looping macro \cs{do@axis}, which applies
+% one of two commands to the letter, depending on whether the optional
+% parameter was present (\cs{@axis}) or not (\cs{@@axis}).
+% \begin{macrocode}
+ \newdef\doaxes{\null@opt\@doaxes}%
+ \newdef\@doaxes[##1]##2{\def\mfp@axis{\@axis[##1]}%
+ \do@axis##2\mfp@delim}%
+ \newdef\do@axis##1{%
+ \ifx\mfp@delim##1\relax\else\mfp@axis{##1}\@xp\do@axis\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\axismarks}
+% \DescribeMacro{\xmarks}
+% \DescribeMacro{\ymarks}
+% \DescribeMacro{\lmarks}
+% \DescribeMacro{\bmarks}
+% \DescribeMacro{\rmarks}
+% \DescribeMacro{\tmarks}
+% Hash marks (or tick marks) on the axes are provided by the
+% \cs{axismarks} command (\cs{marks} was the original choice, but that
+% turned out to conflict with a primative of e\TeX). For brevity, therefore,
+% we also have separate commands \cs{xmarks}, etc. \cs{axismarks} has two
+% mandatory arguments: the letter for the axis, and a comma separated
+% list of numbers giving the positions on the axis. It functions as a list
+% macro (see previous discussion of types of macros) and so the list of
+% numbers can be prescribed by an external file
+% \cs{datafile}\marg{\meta{file}}. One must be sure to issue an
+% appropriate \cs{using} command to produce a numeric list in the output.
+% This is the main reason for the \cs{usingnumericdefault} command.
+%
+% I had a change of heart after the \cs{axis} command, and I made things
+% simpler to code here by putting the optional argument of \cs{axismarks}
+% after the first mandatory argument. I could justify this because I
+% expect most users will use the shorter versions that don't require the
+% first argument (that is, the expectation that optional arguments come
+% first is still satisfied). The optional argument is the length of the
+% marks. The position of the marks is controlled separately by the
+% \cs{setaxismarks} command, described previously.
+% \begin{macrocode}
+ \newdef\axismarks##1{\simple@opt{\@marks{##1}}{\the\hashlen}}%
+ \newdef\@marks##1##2{\mfsrc{\@nl ##1marks (##2)}\mfp@writedata}%
+ \newdef\xmarks{\axismarks x}%
+ \newdef\ymarks{\axismarks y}%
+ \newdef\lmarks{\axismarks l}%
+ \newdef\bmarks{\axismarks b}%
+ \newdef\rmarks{\axismarks r}%
+ \newdef\tmarks{\axismarks t}%
+% \end{macrocode}
+%
+% \DescribeMacro{\grid}
+% \DescribeMacro{\gridpoints}
+% \DescribeMacro{\lattice}
+% The first one is, I think, inaccurately named: the word `grid' calls
+% to mind a set of lines. It functions in a similar way: allowing a
+% visualization of the coordinates, but it actually produces dots. The
+% dots are located at the points whose coordinates are integer multiples
+% of two numbers, which are given in the single mandatory argument
+% separated by commas. The optional first argument is the diameter of the
+% dots this defaults to \texttt{0.5bp} (hard coded in \file{grafbase}).
+% Because of the name, I have provided two aliases: \cs{gridpoints}
+% (for consistency with \cs{gridlines}, below) and \cs{lattice}.
+%
+% \DescribeMacro{\gridlines}
+% Macro \cs{gridlines} takes the same mandatory argument and draws
+% horizontal and vertical lines intersecting at all the dots that
+% \cs{grid} would draw. Some packages (and \ConTeXt) define a \cs{grid}
+% command so we use \cs{def} here instead of \cs{newdef} or \cs{redef}.
+%
+% \DescribeMacro{\hgridlines}
+% \DescribeMacro{\vgridlines}
+% These two draw only the horizontal or vertical lines, and their
+% argument is the separation (in graph units) between successive lines.
+% \begin{macrocode}
+ \def\grid{\null@opt\@grid}%
+ \newdef\@grid[##1]##2{%
+ \mfcmd{\mfp@ifempty{##1}{grid}{vgrid (##1)} (##2)}}%
+ \newlet\gridpoints=\grid \newlet\lattice=\grid
+ \newdef\gridlines##1{\mfcmd{\@nl gridlines (##1)}}%
+ \newdef\vgridlines##1{\mfcmd{\@nl vgridlines (##1)}}%
+ \newdef\hgridlines##1{\mfcmd{\@nl hgridlines (##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\plrgrid}
+% \DescribeMacro{\plrgridpoints}
+% \DescribeMacro{\gridarcs}
+% \DescribeMacro{\gridrays}
+% \DescribeMacro{\plrpatch}
+% The command \cs{plrgrid} takes one mandatory argument which contains two
+% numbers separated by a comma. The first is a radius and the second an
+% angle. It draws circular arcs at integer multiples of the radius, and
+% radial lines at integer multiples of the angle. It fills the
+% picture rectangle and is clipped to that rectangle. \cs{plrgridpoints}
+% is similar but places only dots at the intersections of these arcs and
+% rays. It takes an optional argument for the size of the dots, normally
+% \cs{dotsize}. \cs{gridarcs} draws only the arcs, \cs{gridrays} only the
+% rays. These last two take only one parameter each: the radius separating
+% the arcs, and the angle separating the rays.
+%
+% \cs{plrpatch} draws: a circular arc at a starting
+% radius, then increments that radius by a step size and draws another
+% arc, etc., and finally draws an arc at the ending radius. It does a similar
+% thing for radial lines and angles. It takes one mandatory argument,
+% which contains 6 numbers separated by commas: starting radius, ending
+% radius, step size, starting angle, ending angle, step size.
+% \begin{macrocode}
+ \newdef\plrgrid##1{\mfcmd{\@nl polargrid (##1)}}%
+ \newdef\plrgridpoints{\simple@opt\@plrgp{\the\dotsize}}%
+ \newdef\@plrgp##1##2{\mfcmd{\@nl polargridpoints (##1, ##2)}}%
+ \newdef\gridarcs##1{\mfcmd{\@nl gridarcs (##1)}}%
+ \newdef\gridrays##1{\mfcmd{\@nl gridrays (##1)}}%
+ \newdef\plrpatch##1{\mfcmd{\@nl polarpatch (##1)}}%
+% \end{macrocode}
+%
+% \subsection{Visualizing points}\label{points}
+%
+% \DescribeMacro{\point}
+% \DescribeMacro{\plotsymbol}
+% \cs{point} draws a dot or a small circle. It takes one optional
+% argument, the diameter of the dot, and one mandatory argument, the ordered
+% pair (or comma separated list of them) at which to draw a dot. After
+% \cs{pointfillfalse}, the dots will be unfilled (i.e., small circles),
+% after \cs{pointfilltrue} (the default), they will be solid. Like the
+% grid macros, it is not a figure macro, but merely does its drawing and
+% is not subject to any prefix macros.
+%
+% In order to mark points with other than circles, we have the
+% \cs{plotsymbol} command, so-called because it uses the same symbols as
+% the \cs{plot} command (previously discussed). There is an optional
+% argument that gives the size of the symbol, a mandatory argument with
+% the name of the symbol, and a second mandatory argument which
+% is a comma separated list of ordered pairs for the locations.
+%
+% For both these commands, the default optional argument is
+% \cs{the}\cs{pointsize}.
+% \begin{macrocode}
+ \newdef\point{\simple@opt\@point{\the\pointsize}}%
+ \newdef\@point##1{%
+ \mfsrc{\@nl pointd (##1, \ifpointfill\mf@T\else\mf@F\fi)}%
+ \mfp@writedata}%
+ \newdef\plotsymbol{\simple@opt\@plotsymbol{\the\pointsize}}%
+ \newdef\@plotsymbol##1##2{%
+ \mfsrc{\@nl plotsymbol (##2, ##1)}\mfp@writedata}%
+% \end{macrocode}
+%
+% \DescribeMacro{\plottext}
+% In \MP{}, \TeX{} labels can be used in place of the symbols in
+% \cs{plotsymbol}. Moreover, multiple copies of text can be placed with
+% the \cs{tlabel} command (under \opt{mplabels}), as it supports a list of
+% points for the location parameter. For \MF{} we supply an alternative,
+% \cs{plottext}, which loops through the list of coordinates and issues
+% \cs{tlabel} commands. The text can be anything that works in \cs{tlabel}.
+%
+% It takes one optional argument, the justification of the text (as in the
+% \cs{tlabel command}, below---see also \cs{tlabeljustify}, above),
+% defaulting to \oarg{cc}. There are two mandatory arguments: the text,
+% and a comma separated list of ordered pairs. For consistency with
+% \cs{plotsymbol} (and because it works better), we now require the same
+% syntax for the points (i.e., no braces around individual points in the
+% list as are allowed in \cs{tlabel} commands).
+%
+% We start by handling the justification, resetting whitespace,
+% and loading the text into a token register. Then we read the list of
+% points with \cs{@@plottext}. Under \opt{mplabels} we process the whole
+% list with a single \cs{tlabel} command. Otherwise we prepare to loop
+% through the list of points. The \cs{begingroup} in \cs{@plottext} is
+% ended by the command called in \cs{@@plottext}.
+% \begin{macrocode}
+ \newdef\plottext{\simple@opt\@plottext{cc}}%
+ \newdef\@plottext##1{%
+ \begingroup
+ \mfp@resetwhitespace \tlabeljustify{##1}%
+ \@ifmplabels{\@makeother\#}{}%
+ \mfp@gettoks\@@plottext}%
+ \newdef\@@plottext##1{%
+ \@ifmplabels
+ {\mfp@setMPpos \def\mfp@points{##1}\@@@tlabel}%
+ {\@@@plottext##1,\mfp@delim}}%
+% \end{macrocode}
+% After reading the list of points and appending ending tokens, we
+% loop through them. The ending condition is that the next token is
+% \cs{mfp@delim}. Otherwise we read the coordinates as delimited macros,
+% and call \cs{@tlabel}, feeding it the coordinates and the text to
+% plot there (the \cs{begingroup} in \cs{x@plottext} matches the
+% \cs{endgroup} in \cs{@tlabel}). Then we recall \cs{@@@plottext} for
+% another loop. Since we have used two internal commands of \cs{tlabel}
+% code, we have to remember to check this if ever we rewrite \cs{tlabel}.
+% \begin{macrocode}
+ \newdef\@@@plottext{%
+ \mfp@ifnextchar\mfp@delim{\@firstoftwo\endgroup}{\x@plottext}}%
+ \newdef\x@plottext(##1,##2),{\begingroup
+ \@tlabel{##1}{##2}{\the\mfp@toks}\@@@plottext}%
+% \end{macrocode}
+%
+% \subsection{Figure macros}\label{figure}
+%
+% \subsubsection{Common geometric objects}\label{geometric}
+%
+% Finally we get to the real figure macros. These are implemented as
+% \MF{} paths that can be variously rendered, transformed, etc., with the
+% prefix macros.
+%
+% The first few (\cs{rect} through \cs{makesector}) are closed paths and
+% need not be prefixed with a closing macro before filling, etc.
+%
+% \DescribeMacro{\rect}
+% This takes one mandatory argument, the two diagonally opposite
+% corners of the rectangle separated by a comma, and draws the rectangle
+% with horizontal and vertical sides having these as two corners. The
+% direction of the path (which seldom makes a difference) is such that it
+% starts at the first specified point and moves horizontally first.
+% \begin{macrocode}
+ \newdef\rect##1{\@figmac{rect (##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\regpolygon}
+% There are four arguments. The first is the number of sides. The second
+% is the name of a variable to represent the vertices. The other
+% two should be equations locating two vertices or the center and one
+% vertex. If the name used is \gbc{Ver}, then the vertices will be
+% \gbc{Ver1}, \gbc{Ver2}, etc., numbering anticlockwise. The center is
+% \gbc{Ver0}. Case is significant. After the command, the points can be
+% referred to in other \mfpic{} commands (except text label commands
+% when \opt{mplabels} is not in effect).
+% \begin{macrocode}
+\newdef\regpolygon##1##2##3##4{%
+ \@figmac{regularpolygon(##1)(##2)(##3;##4;)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\circle}
+% This has one optional argument containing one of the letters
+% \texttt{t}, \texttt{p} (the default), \texttt{c}, or \texttt{s}. Its
+% purpose is to specify what kind of data is in the single mandatory
+% argument. These are a subset of the optional arguments that the \cs{arc}
+% commad (below) takes, and have almost the same meaning:
+% \begin{itemize}
+% \item \oarg{t}, the three point form needs three points (of course).
+% \item \oarg{p}, the polar form needs the center point and the radius.
+% This is the default when the optional argument is absent.
+% \item \oarg{c}, the center/point form needs the center and one point on
+% the circle.
+% \item \oarg{s}, the point-sweep form requires two points and the angle of
+% arc between them. The angle may be positive or negative. A
+% positive angle indicates the number of degrees anticlockwise from
+% the first point to the second. Negative means clockwise.
+% \end{itemize}
+%
+% Supplying \cs{arc} with the same parameters, or the appropriate superset
+% in the case of \oarg{p} and \oarg{c}, would produce a sub-arc of the
+% circle that \cs{circle} produces. This is the reason for giving
+% \cs{circle} these options: to make diagrams which show a circle and an
+% arc on it. (This can also be done with an ellipse by using a
+% transform on a circle and its arc.
+%
+% We use \cs{def} instead of \cs{newdef} or \cs{redef} because we know
+% \LaTeX{} has already defined a \cs{circle} command, but plain \TeX{} has
+% not. Instead of passing the default \texttt{p}, we pass a null
+% argument, causing the code to compare various letters to \cs{relax}
+% (always false) and then execute the default code.
+% \begin{macrocode}
+ \def\circle{\null@opt\circl@}%
+ \newdef\circl@[##1]##2{%
+ \if t##1\relax \@figmac{circleppp (##2)}%
+ \else\if c##1\relax \@figmac{circlecp (##2)}%
+ \else\if s##1\relax \@figmac{circlepps (##2)}%
+ \else \@figmac{circle (##2)}%
+ \fi\fi\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\ellipse}
+% \cs{ellipse} has one optional argument, an angle of rotation and one
+% mandatory argument, containing the center, the horizontal radius (before
+% rotation) and the vertical radius, separated by commas.
+% \begin{macrocode}
+ \newdef\ellipse{\simple@opt\@ellipse{0}}%
+ \newdef\@ellipse##1##2{\@figmac{ellipse (##2, ##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\sector}
+% This is the closed curve starting at the center of a circle, out
+% along a radius to the circumference of the circle, along an arc of the
+% circle, then back to the center. It has one mandatory argument
+% containing the center, the radius, and the two angles, separated by
+% commas.
+%
+% \DescribeMacro{\makesector}
+% Takes a following arc and draws the sector (even if the center point
+% is not known). It is really a prefix macro (closing an arc with two
+% straight lines), but the combination \cs{makesector}\cs{arc} acts like a
+% figure.
+% \begin{macrocode}
+ \newdef\sector##1{\@figmac{sector (##1)}}%
+ \newdef\makesector{\@closmac{makesector}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\arc}
+% A circular arc can be specified in several ways and we support most of
+% them. \cs{arc} takes an optional argument: a letter to indicate which
+% specification. It has one mandatory argument containing the data for
+% that specification, separated by commas.
+%
+% The available letters and the corresponding required data are:
+% \begin{itemize}
+% \item \oarg{t}, the three point form needs three ordered pairs.
+% \item \oarg{p}, the polar form needs the center point, two angles and
+% the radius.
+% \item \oarg{a}, the alternative polar form needs the center, the radius
+% and two angles.
+% \item \oarg{c}, the center-point-sweep form needs the center, the
+% starting point, and the angle.
+% \item \oarg{s}, the point-sweep form requires the starting point, the
+% ending point and the angle.
+% \end{itemize}
+%
+% The default optional argument is \oarg{s}. (I don't know why. It
+% certainly doesn't seem the most natural. I would have picked \oarg{a}.)
+% Like \cs{circle}, an empty argument is passed by default.
+% \begin{macrocode}
+ \newdef\arc{\null@opt\@arc}%
+ \newdef\@arc[##1]##2{%
+ \if t##1\relax \@figmac{arcppp (##2)}%
+ \else\if p##1\relax \@figmac{arcplr (##2)}%
+ \else\if a##1\relax \@figmac{arcalt (##2)}%
+ \else\if c##1\relax \@figmac{arccps (##2)}%
+ \else \@figmac{arcpps (##2)}%
+ \fi\fi\fi\fi}%
+% \end{macrocode}
+%
+% \DescribeMacro{\plr}
+% \DescribeMacro{\midpoint}
+% A little utility to convert a list of pairs into another list of
+% pairs, where the given list are assumed to be polar coordinates and the
+% results are their Cartesian counterparts. And one to calculate the
+% midpoint, given two points separated by a comma.
+% \begin{macrocode}
+ \newdef\plr##1{map (polar) (##1)}%
+ \newdef\midpoint##1{(0.5[##1])}%
+% \end{macrocode}
+%
+% \subsubsection{List macros}\label{list}
+%
+% The next several figure macros are all list macros. They draw a path
+% determined by a list of points. The list can be explicitly given as a
+% mandatory argument containing a comma-separated list of ordered pairs,
+% or it can be taken from an external datafile. This is true for
+% \cs{polyline} through \cs{turtle}. These macros differ only in
+% how the points determine the path. (The splines don't actually connect
+% the points given, but rather use the points in a different way to
+% determine a curve.) The list of points is not an argument of any of
+% these. It should follow, and is picked up and written to output by the
+% ending code of \cs{@listmac}. This is basic to list macros, and will not
+% be repeated for each one.
+%
+% \DescribeMacro{\polyline}
+% \DescribeMacro{\polygon}
+% The most basic, a polyline or polygonal path, \cs{polyline}
+% draws line segments from each point to the next. \cs{lines} is an
+% alias. \cs{polygon} does the same, except it closes the path by
+% connecting the last point to the first.
+%
+% In \cs{@polyline}, the argument is \mfc{true} or \mfc{false},
+% indicating whether the path is to be closed.
+% \begin{macrocode}
+ \newdef\polyline{\@polyline\mf@F}%
+ \newlet\lines=\polyline
+ \newdef\polygon{\@polyline\mf@T}%
+ \newdef\@polyline##1{\@listmac{polyline (##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\curve}
+% \DescribeMacro{\cyclic}
+% \cs{curve} draws a smooth curve connecting a list of points. it arranges
+% for the curve, at point $p\sb n$ to be traveling parallel to the direction
+% from $p\sb {n-1}$ to $p\sb {n+1}$ (except at the first and last point).
+%
+% \cs{cyclic} is similar, except the curve is closed, and at the first
+% point it also travels parallel to the direction from the previous point
+% (the last one listed) to the next.
+%
+% There is an optional argument, which is the tension. This is a number
+% greater than .75. The larger it is, the closer to a polyline one gets.
+% The default is 1 (set in \file{grafbase}) or more generally, the value
+% set by \cs{settension}.
+% \begin{macrocode}
+ \newdef\curve {\null@opt{\@curve\mf@F}}%
+ \newdef\cyclic{\null@opt{\@curve\mf@T}}%
+ \newdef\@curve##1[##2]{%
+ \@listmac{\mfp@ifempty{##2}{curve}{tcurve (##2)} (##1)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\fcncurve}
+% A `function curve' is the graph of a function of $x$. It should always
+% travel left to right. This is not guaranteed by the \cs{curve} macro,
+% above, even if the x-coordinates are listed in order. \cs{fcncurve} is
+% guaranteed to do this if the list of points has the x-coordinates so
+% ordered.
+%
+% The optional argument is called tension. Internally, it is not quite the
+% same as the tension argument to \cs{curve}, but it also governs how
+% closely the curve stays to the corresponding polyline. If the optional
+% argument is missing, this command uses $1.2$ (more precisely, it uses
+% $1.2$ times the value set with \cs{settension}). The above guarantee is
+% voided if the value used is less than $1$. However, most curves will
+% satisfy the guarantee with some lower values.
+% \begin{macrocode}
+ \newdef\fcncurve{\null@opt\@fcncurve}%
+ \newdef\@fcncurve[##1]{%
+ \@listmac{\mfp@ifempty{##1}{fcncurve}{functioncurve (##1)}}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\qspline}
+% \DescribeMacro{\closedqspline}
+% \DescribeMacro{\cspline}
+% \DescribeMacro{\closedcspline}
+% These are supposed to be types of splines, about which I know only a
+% little. The list or datafile that should follow each command should
+% contain not the points passed through, but instead the control data.
+% For quadratic B-splines the points create the path as follows: for
+% successive points $p\sb i, p\sb {i+1}$ in the list, the path passes through
+% the midpoint of the line segment connecting $p\sb i$ and $p\sb {i+1}$, tangent
+% to that line segment.
+%
+% Cubic splines determine the curve as follows: for successive points
+% $p\sb i, p\sb {i+1}$ in the list, the line segment connecting them is divided
+% into thirds with two points $q\sb i$ and $q\sb i'$. The curve then passes
+% through the midpoint of the segment from $q\sb {i-1}'$ to $q\sb i$ and tangent
+% to that segment.
+%
+% `Control' is obtained as follows: the farther apart the points $p\sb i$
+% and $p\sb {i+1}$ (quadratic) or $q\sb {i-1}'$ and $q\sb i$ (cubic) the
+% less the curvature of the curve at the midpoint.
+%
+% The `\texttt{q}' versions produce quadratic splines, the `\texttt{c}'
+% versions produce cubic splines.
+% \begin{macrocode}
+ \newdef\qspline{\@listmac{openqbs}}%
+ \newdef\closedqspline{\@listmac{closedqbs}}%
+ \newdef\cspline{\@listmac{opencbs}}%
+ \newdef\closedcspline{\@listmac{closedcbs}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\mfbezier}
+% \DescribeMacro{\closedmfbezier}
+% These produce the standard \MF{} cubic B\'ezier (the connection is
+% \mfc{..} unless the optional argument is used) with tension given by
+% an optional argument. A mandatory argument (not shown) contains the
+% list of points.
+%
+% \DescribeMacro{qbeziers}
+% \DescribeMacro{closedqbeziers}
+% These produce the equivalent of a sequence of \LaTeX{} \cs{qbezier}
+% commands. The mandatory argument will be a list of points alternating
+% between nodes and control points. Note that quadratic B\'eziers need
+% not be smooth at the nodes unless the control points line up. Our
+% plural name distinguishes it from the \LaTeX{} command.
+% \begin{macrocode}
+ \newdef\mfbezier{\null@opt{\@mfbezier\mf@F}}%
+ \newdef\closedmfbezier{\null@opt{\@mfbezier\mf@T}}%
+ \newdef\@mfbezier##1[##2]{%
+ \@listmac{\mfp@ifempty{##2}{bezier}{tbezier (##2)} (##1)}}%
+ \newdef\qbeziers{\@listmac{qbezier (\mf@F)}}%
+ \newdef\closedqbeziers{\@listmac{qbezier (\mf@T)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\turtle}
+% Many years ago there was a tool for teaching programming concepts to
+% young children. They could draw a figure on a screen by programming a
+% `turtle' with a sequence of turns and distances. The following is
+% similar. It has a mandatory argument containing a list of ordered pairs.
+% The first is the coordinates of the starting point, and each of the rest
+% is interpreted as a displacement from the current position, along which
+% a line segment is to be drawn. The terminal point of that segment is the
+% new current position
+% \begin{macrocode}
+ \newdef\turtle{\@listmac{turtle}}%
+% \end{macrocode}
+%
+% \subsubsection{Graphing functions}\label{functions}
+%
+% \DescribeMacro{\function}
+% \prog{Mfpic} provides the ability to plot the graph of any function that
+% can be defined in \MF. This is done with the \cs{function} command, a
+% figure macro which takes one optional parameter that selects
+% the smoothness of the \MF{} path produced. It can be \oarg{p}, which
+% draws a polyline path through selected points (much like \cs{polyline}),
+% or \oarg{s\meta{tension}} which selects a smooth path (much like
+% \cs{curve}\oarg{\meta{tension}}). The tension may be omitted and then
+% defaults to 1 (set in \file{grafbase}). The default is \oarg{s}.
+%
+% There are two mandatory arguments. The second is the function, which
+% must be written as a formula (strictly speaking, a \MF{} numerical
+% expression) containing only one variable, \texttt{x}. The first
+% mandatory argument contains three numbers separated by commas. They are,
+% in order, the starting value of \texttt{x}, the ending value, and the
+% step size.
+%
+% \DescribeMacro{\parafcn}
+% \cs{parafcn} is similar, except its formula must be an ordered pair of
+% formulas (strictly speaking, a \MF{} pair expression) in which
+% \texttt{t} is the only variable.
+%
+% \DescribeMacro{\plrfcn}
+% \cs{plrfcn} is similar, except its argument is a formula (a \MF{}
+% numeric expression) representing the radius, in which \texttt{t} is the
+% only variable, interpreted as the angle coordinate, $\theta$, in degrees.
+%
+% These three commands are so alike that all they do is set the name to
+% be written to the output and call the common code.
+% \begin{macrocode}
+ \newdef\function{\def\mfp@name{function}\mfp@fcn}%
+ \newdef\parafcn{\def\mfp@name{parafcn}\mfp@fcn}%
+ \newdef\plrfcn{\def\mfp@name{plrfcn}\mfp@fcn}%
+ \newdef\mfp@fcn{\simple@opt\@mfp@fcn{s}}%
+ \newdef\@mfp@fcn##1{\@@mfp@fcn##1\mfp@delim}%
+ \newdef\@@mfp@fcn##1##2\mfp@delim##3##4{%
+ \@figmac{\mfp@ifempty{##2}{}{t}\mfp@name\space
+ (\if p##1\mf@F\else\mf@T\fi \mfp@ifempty{##2}{}{, ##2})
+ (##3) (##4)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\btwnfcn}
+% The region between two functions \cs{btwnfcn} is a figure macro. It is
+% mostly intended for shading or other filling operations so it is already
+% closed and, by default, it is not `smooth'. Its parameters are the
+% same as those of \cs{function} (above), with two exceptions: the default
+% optional argument is \oarg{p} and it has an additional mandatory
+% argument, the other function. The resulting \MF{} path travels along one
+% the graph of the first function from the starting $x$ to the ending $x$,
+% thence vertically to the graph of the second function, along it (in
+% reverse) to the starting $x$ and finally, vertically to the start of the
+% first function's graph.
+%
+% \DescribeMacro{\plrregion}
+% The figure macro \cs{plrregion} also produces a closed \MF{} path. It
+% has the same parameters as \cs{plrfcn}, and the path produced begins at
+% the origin, travels along a straight line in the direction of the
+% starting angle to the beginning of the graph of the expression, along
+% that graph to the ending angle and then straight back to the origin. Its
+% default option is also \oarg{p}.
+% \begin{macrocode}
+ \newdef\btwnfcn{\simple@opt\@btwnfcn{p}}%
+ \newdef\@btwnfcn##1{\@@btwnfcn##1\mfp@delim}%
+ \newdef\@@btwnfcn##1##2\mfp@delim##3##4##5{\btwn@params{##1}{##2}%
+ \@figmac{\t@pref btwnfcn (\s@vals) (##3) (##4) (##5)}}%
+ \newdef\btwn@params##1##2{%
+ \edef\s@vals{\if s##1\mf@T\else\mf@F\fi}%
+ \mfp@ifempty{##2}{\def\t@pref{}}%
+ {\def\t@pref{t}\edef\s@vals{\s@vals, ##2}}}%
+ \newdef\plrregion{\simple@opt\@plrregion{p}}%
+ \newdef\@plrregion##1{\@@plrregion##1\mfp@delim}%
+ \newdef\@@plrregion##1##2\mfp@delim##3##4{\btwn@params{##1}{##2}%
+ \@figmac{((0,0)--(\t@pref plrfcn (\s@vals) (##3) (##4))%
+ --cycle)}}%
+% \end{macrocode}
+%
+% \subsection{Some composite objects}\label{composite}
+%
+% \DescribeMacro{\tile}
+% A tile is syntactically a \MF{} picture variable. The commands between
+% \cs{tile} (or \cs{begin}\marg{tile}) and \cs{endtile} (or
+% \cs{end}\marg{tile}) should be any sequence of \mfpic{} figure macros
+% with possible prefix macros. They will be drawn not on the main picture
+% (\gbc{currentpicture}), but on the picture given by the name in the
+% \cs{tile} command's argument.
+%
+% The argument has five parts separated by commas, the first is the
+% name, the second is the unit of length (some absolute dimension like
+% \mfc{1pt}), the next two are the width and height (pure numbers, the
+% actual dimensions being these numbers times the unit of length), the
+% last is one of the words \mfc{true} or \mfc{false}, indicating whether
+% tile should be clipped to these dimensions (true) or allowed to extend
+% beyond them (false).
+% \begin{macrocode}
+ \newdef\tile##1{\mfcmd{\@nl tile (##1)}}%
+ \newdef\endtile{\mfsrc{endtile;\@nl}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\patharr}
+% A path array is a set of \MF{} path variables each having the same name
+% followed by a different numeric suffix. This command turns off rendering
+% and simply assigns these variables in order to the path expressions
+% written by the figure macros between \cs{patharr} and \cs{endpatharr}.
+% It works by redefining \cs{store@path}, issued by all the figure
+% macros. These variables can be accessed in \mfpic{} by using the
+% \cs{mfobj} command.
+%
+% \emph{Explicit} rendering commands will work in the sense that the
+% affected path will be rendered in addition to being assigned to the
+% variable. The only parameter is the common name of the variables.
+% \begin{macrocode}
+ \newdef\patharr##1{\begingroup
+ \mfsrc{hide(numeric ##1; path ##1[]; ##1 = 0)}%
+ \def\store@path{\mfsrc{\@nl store (##1[incr ##1])}}%
+ \setrender{}}%
+ \newdef\endpatharr{\endgroup}%
+% \end{macrocode}
+%
+% \DescribeMacro{\connect}
+% \DescribeMacro{\endconnect}
+% These define an environment that can contain any sequence of figure
+% macros. It functions as a single large \cs{@figmac}, the figure being
+% the path obtained by connecting all the paths within by straight lines
+% from the end of one to the beginning of the next. It is implemented via
+% a path array, so the individual figures within the environment have
+% implicit rendering turned off. Explicit rendering commands within the
+% environment will have the expected effect.
+%
+% The \cs{if@mfp@latex} stuff at the end allows \cs{connect} to be used as
+% a \LaTeX{} environment.
+% \begin{macrocode}
+ \newdef\connect{\@figmac{begingroup; save nexus}%
+ \patharr{nexus}}%
+ \newdef\endconnect{\endpatharr
+ \mfcmd{\@nl mkpoly (\mf@F, nexus)\@nl endgroup}%
+ \if@mfp@latex \def\mfptmp@a{connect}%
+ \ifx\mfptmp@a\@currenvir
+ \aftergroup\@startfigtrue %\aftergroup\@imrendtrue
+ \fi
+ \fi}%
+% \end{macrocode}
+%
+% \subsection{Other graphical features}\label{otherfeatures}
+%
+% And now for something completely different: pie charts and bar charts
+% (or bar graphs, or histograms).
+%
+% \DescribeMacro{\piechart}
+% The \cs{piechart} command takes one optional argument containing a
+% letter and an angle, and one mandatory argument containing the data. The
+% letter can be `\texttt{c}' for clockwise or `\texttt{a}' for anticlockwise
+% and determines the direction around the pie the different wedges will be
+% drawn. The angle determines the angle of the first edge (in the given
+% direction) of the first wedge. The default is \oarg{c90} which starts
+% the first wedge at 12 o'clock and proceeds clockwise from there. The
+% data in the mandatory argument are numbers separated by commas. The size
+% of a wedge is proportional to the size of the corresponding number.
+% \cs{piechart} is a list macro and can take the data from an external
+% file.
+%
+% \DescribeMacro{\piewedge}
+% Actually, nothing is drawn, it only defines a path array and a few
+% other internal variables. Each individual wedge (elements of the just
+% mentioned array) may be drawn using the \cs{piewedge} command, which is
+% a figure macro. That command takes one optional argument that determines
+% how the wedge is drawn, as described below, and one mandatory argument,
+% the number of the wedge. Without the optional argument,
+% \cs{piewedge}\marg{1} draws the first wedge in the position given by the
+% arguments of the \cs{piechart} command.
+%
+% The optional arguments can be:
+% \begin{itemize}
+% \item \oarg{x\meta{distance}}, the wedge is exploded, drawn
+% shifted outward from its position by \meta{distance} (in graph
+% units).
+% \item \oarg{s(\meta{dx},\meta{dy})}, the wedge is shifted from its
+% position by \meta{dx} horizontally and \meta{dy} vertically (in
+% graph units).
+% \item \oarg{m(\meta{x},\meta{y})}, the wedge is moved so that its
+% point is at coordinates \parg{\meta{x},\meta{y}}.
+% \end{itemize}
+% \begin{macrocode}
+ \newdef\piechart{\simple@opt\@piechart{c}}%
+ \newdef\@piechart##1{\@@piechart##1\mfp@delim}%
+ \newdef\@@piechart##1##2\mfp@delim##3{%
+ \mfsrc{\@nl piechart(\if a##1 \else-\fi1, %
+ \mfp@mtsub{##2}{90}, ##3)}\mfp@writedata}%
+ \newdef\piewedge{\simple@opt\@piewedge{d}}%
+ \newdef\@piewedge##1{\@@piewedge##1\mfp@delim}%
+ \newdef\@@piewedge##1##2\mfp@delim##3{%
+ \@figmac{(piewedge[##3]%
+ \if x##1 shifted (##2*piedirection[##3])%
+ \else\if s##1 shifted (##2)%
+ \else\if m##1 shifted (##2 - piecenter)%
+ \else
+ \fi\fi\fi)}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\barchart}
+% \DescribeMacro{\bargraph}
+% \DescribeMacro{\gantt}
+% \DescribeMacro{\histogram}
+% The \cs{barchart} command takes one optional and two mandatory
+% arguments. The last mandatory argument contains the data, separated by
+% commas and these determine the length of the bars in graph units. This
+% is also a list macro and instead of the list, an external file can hold
+% the data.
+%
+% The optional argument determines the position and width of the bars and
+% the first mandatory argument determines the orientation. The mandatory
+% argument can be \marg{v} for vertical bars with base on the x-axis, or
+% \marg{h} for horizontal bars with base on the y-axis.
+% The optional argument contains three numbers separated by commas. The
+% first is the coordinate of the leading edge of the first bar, the second
+% is the distance (in graph coordinates) between the leading edge of one
+% bar and that of the next, and the third is the fraction of that distance
+% that is occupied by the bar. The default is \oarg{0,1,1}.
+%
+% We provide the aliases \cs{bargraph} and \cs{histogram}.
+%
+% \DescribeMacro{\chartbar}
+% \DescribeMacro{\ganttbar}
+% \DescribeMacro{\graphbar}
+% \DescribeMacro{\histobar}
+% The \cs{barchart} command does not actually draw anything, but defines a
+% path array. The \cs{chartbar} command can then be used to draw a bar
+% (one of the members of the just mentioned array). It is a figure macro
+% and take the number of the bar as its mandatory argument. Aliases
+% \cs{graphbar} and \cs{histobar} are provided. We avoid \cs{bar} because
+% it is a math accent command.
+% \begin{macrocode}
+ \newdef\barchart{\simple@opt\@barchart{0,1,1}}%
+ \newdef\@barchart##1##2{%
+ \mfsrc{\@nl barchart (##1, \if h##2\mf@F\else\mf@T\fi)}%
+ \mfp@writedata}%
+ \newlet\bargraph=\barchart
+ \newlet\histogram=\barchart
+ \newlet\gantt\barchart
+ \newdef\chartbar##1{\@figmac{chartbar[##1]}}%
+ \newlet\graphbar=\chartbar
+ \newlet\histobar=\chartbar
+ \newlet\ganttbar=\chartbar
+% \end{macrocode}
+%
+% One can add to \cs{mfp@additions} to extend \mfpic. Currently it
+% is empty. This ends \cs{@mfpic@graf@macs}.
+% \begin{macrocode}
+ \newdef\pinumber{3.14159}%
+ \mfp@additions
+}%
+% \end{macrocode}
+%
+%
+% \section{The \env{mfpic} environment}\label{mfpicenv}
+%
+% \subsection{Initializations}\label{mfpicinitializations}
+%
+% \DescribeMacro{\mfpic}
+% This command (or the \LaTeX{} environment \cs{begin}\marg{mfpic}) takes
+% two optional arguments: the xscale and the yscale. When both are
+% omitted, they are both set to 1, if the yscale is omitted, it is set
+% equal to the xscale.
+%
+% There are also 4 mandatory arguments: the first two give the minimum and
+% maximum extent of the x coordinates and the last two do the same for the
+% y coordinates. The coordinates used in the figure commands within an
+% mfpic environment are multiplied by the corresponding scales, and that
+% is the multiple of \cs{mfpicunit} used in positioning, drawing, etc.
+%
+% The optional arguments are converted by the option handling code to
+% mandatory arguments for \cs{@mfpic}, which contains the actual
+% definition.
+% \begin{macrocode}
+\newdef\mfpic{\simple@opt\@mfpicA{1}}%
+\newdef\@mfpicA#1{\simple@opt{\@mfpic{#1}}{#1}}%
+\newdef\@mfpic#1#2#3#4#5#6{%
+% \end{macrocode}
+%
+% We start by saving \mfpic{} extra fontdimen values. They will be
+% restored by \cs{endmfpic}. This makes the values local (font dimensions
+% are normally always global). Then we begin a group to localize ordinary
+% \TeX{} definitions and assignments, disable writes to the output if
+% \cs{opengraphsfile} hasn't occurred yet. save the current font in
+% \cs{@tcurr} for restoration inside text labels and captions, set the
+% switch that says we are in an \cs{mfpic} environment, disable \cs{par}
+% so that blank lines have (little or) no effect, and switch to
+% \cs{nullfont} so that stray characters (always an error) and spaces (not
+% an error), have no effect. I wonder if \cs{@empty} is a better
+% disabling definition for \cs{par} than \cs{relax}.
+% \begin{macrocode}
+ \save@mfpicdimens
+ \begingroup % ended near end of \endmfpic
+ \@ifmfpfileisopen{}%
+ {\if@mfp@nowrite\else \nooutputfileerror{\mfpic}%
+ \def\@mfsrc##1##2{}%
+ \fi}%
+ \mfp@DBlog{Starting mfpic \number\mfp@count \@online.}%
+ \font\@tcurr=\fontname\font\relax
+ \let\ifin@mfpicenv\iftrue
+% \let\par\relax
+ \let\par\@empty
+ \nullfont
+% \end{macrocode}
+%
+% The graphics macros are undefined outside the \env{mfpic} environment.
+% They are defined now by invoking \cs{@mfpic@graf@macs}.
+% \begin{macrocode}
+ \@mfpic@graf@macs
+% \end{macrocode}
+%
+% Then we define two utility macros used to convert graph coordinates into
+% actual dimensions relative to the lower left corner of the picture. The
+% first argument is a dimension, but it is normally obtained by first
+% multiplying a coordinate value by \cs{mfpicunit}. Since font dimensions
+% may be involved, we assign \texttt{\#\#1} to a scratch dimension
+% register first, since \TeX{} won't \cs{advance} font dimensions. We make
+% the final assignment global for consistency.
+% \begin{macrocode}
+ \newdef\@xconv##1{%
+ {\mfp@scratch = ##1\relax
+ \advance\mfp@scratch by -#3\mfpicunit
+ \mfp@scratch = #1\mfp@scratch
+ \global ##1 = \mfp@scratch}}%
+ \newdef\@yconv##1{%
+ {\mfp@scratch=##1\relax
+ \advance\mfp@scratch by -#5\mfpicunit
+ \mfp@scratch = #2\mfp@scratch
+ \global ##1 = \mfp@scratch}}%
+% \end{macrocode}
+%
+% We are going to add all text labels to a box \cs{@alltlabels} and put
+% that whole box on top of the graph during \cs{endmfpic}.
+% We initialize the box here. The dimensions \cs{@tlabelsbot}, etc.,
+% are also initialized. Each will be changed as labels are added, so a
+% `non-maxdimen' value at \cs{endmfpic} means there are labels to add.
+% \begin{macrocode}
+\setbox\@alltlabels\vbox{\hbox{}}%
+\@tlabelsbot \maxdimen
+\@tlabelstop -\maxdimen
+\@tlabelsleft \maxdimen
+\@tlabelsright-\maxdimen
+% \end{macrocode}
+%
+% The graph is loaded into a box register at the end of the mfpic
+% environment. The size of that box register may have to correspond to the
+% arguments of the \cs{mfpic} command. Since \cs{endmfpic} doesn't receive
+% these arguments we process them now.
+%
+% Dimensions \cs{@graphright}, etc., represent the extent of the graph
+% box. We increase them when the text is added if it extends beyond the
+% edges of the graph. These are all font dimensions, so they are global
+% assignments.
+% \begin{macrocode}
+ \@graphright=#4\mfpicunit \@xconv\@graphright
+ \@graphtop=#6\mfpicunit \@yconv\@graphtop
+ \@graphleft=0pt
+ \@graphbot=0pt
+ \@graphwd=\@graphright
+% \end{macrocode}
+%
+% \subsection{Initialization code for the current
+% picture}\label{current}
+%
+% Each \env{mfpic} environment produces a \gbc{beginmfpic...endmfpic}
+% environment in the output file. Here we initialize the variables that
+% correspond there to the 6 arguments and \cs{mfpicunit}, then begin the
+% \MF{} environment. \gbc{beginmfpic} takes the number of the current
+% figure as its only argument. For debugging purposes we write a \MF{}
+% comment the contains the line number in the \TeX{} source file where the
+% \cs{mfpic} command occurred. We also write a line of dashes
+% (\cs{mf@d}) to make it easier to find the start of the environment. This
+% will be removed in the public release.
+%
+% When \opt{mplabels} is in effect we need to set the font for the labels
+% to the saved \cs{@tcurr} by writing some \mfc{verbatimtex} code. Since
+% \opt{mplabels} can be turned on at any time, we write this whenever the
+% \opt{metapost} option is in effect. It is a common misconception that
+% \mfc{verbatimtex} can be used only once at the start of a \MP{} file. In
+% fact it can be used any number of times. It's purpose is to be at an
+% outer level, while \mfc{btex} is localized inside a box
+% \begin{macrocode}
+ \mfsrc{\@nl \mf@p\mf@d\mf@d\mf@d\@nl
+ unitlen := \the\mfpicunit\mf@s;\@nl
+ xscale := #1; yscale := #2;\@nl
+ bounds (#3, #4, #5, #6);\@nl
+ \@nl
+ beginmfpic(\number\mfp@count); \mf@p\space\@mfplineno.
+ \mfp@ifmpost
+ {\@nl verbatimtex \@nl
+ \begingroup\space\font\noexpand\MFPcfont=\fontname\@tcurr\@nl
+ etex;}{}}%
+% \end{macrocode}
+%
+% \subsection{Placing text labels}\label{textlabels}
+%
+% All the rest of \cs{@mfpic} defines commands that in some way or another
+% produce labels. The easiest part is defining \cs{tlabel} under
+% \opt{mplabels} where most of the work takes place in \file{grafbase.mp}.
+% The most involved is the definition of \cs{tlabel} without
+% \opt{mplabels}. All the rest (except \cs{tcaption}) add labels by
+% calling \cs{tlabel}. Some of those could be simpler under \opt{mplabels}
+% but then we'd need two versions of each.
+%
+% \DescribeMacro{\tlabel}
+% This is the common code, processing optional arguments, etc. for
+% \cs{tlabel}. It ultimately calls one of \cs{@tlabel} (no
+% \opt{mplabels}) or \cs{@@tlabel} (\opt{mplabels}). It takes an optional
+% argument describing the justification and rotation, followed by a
+% location in one of two syntaxes (which adds to the complication, but we
+% want to be backward compatible), followed by the text of the label
+% (\TeX{} code).
+%
+% The location can be in the form \parg{\meta{x},\meta{y}}, but if \MP{}
+% is processing labels we would like to be able to use \MP{} expressions,
+% which can contain parentheses and commas. This would mess up \TeX's
+% token matching for reading the two coordinates. Therefore we allow the
+% whole point to be enclosed in braces. Under \opt{mplabels} the contents
+% of the braces will be written to the output file without any further
+% parsing. Without \opt{mplabels}, there should be either no braces, or
+% inside the braces is the previously described syntax.
+%
+% We start with \cs{begingroup} to hide changes, then reset whitespace to
+% its normal catcodes. Without \opt{mplabels} we reset \cs{tlabel@rot} to
+% empty. Finally, we check for an optional parameter and run \cs{@tlabel@},
+% feeding it an empty optional argument if there is none.
+% \begin{macrocode}
+ \newdef\tlabel{%
+ \begingroup % ended in \@(@@)tlabel
+ \mfp@resetwhitespace
+ \@ifmplabels{}{\def\tlabel@rot{}}%
+ \null@opt\@tlabel@}%
+% \end{macrocode}
+%
+% We run \cs{tlabeljustify} on the optional parameter. This keeps the
+% default values of \cs{tl@vpos}, \cs{tl@hpos} and \cs{tlabel@rot} if
+% the parameter is empty, otherwise it modifies them inside the current
+% group.
+%
+% We then check for a left parenthesis and assume the
+% \parg{\meta{x},\meta{y}} syntax in that case, calling \cs{@@tlabel@}
+% to process it. Under \opt{mplabels} it stuffs the whole point into
+% braces and call the main code \cs{@@tlabel} with that argument,
+% otherwise it pulls out the two coordinates and feeds them as the first
+% two arguments of the main code \cs{@tlabel}.
+% \begin{macrocode}
+ \newdef\@tlabel@[##1]{\tlabeljustify{##1}%
+ \mfp@ifnextchar({\@@tlabel@}{\@@tlabel@@}}%
+ \newdef\@@tlabel@(##1,##2){%
+ \@ifmplabels
+ {\@@tlabel{(##1,##2)}}{\@tlabel{##1}{##2}}}%
+% \end{macrocode}
+%
+% If no parenthesis, we assume braces surround the point. Under
+% \opt{mplabels} we call the main code (\cs{@@tlabel}) with that argument.
+% Otherwise, we re-call the above \cs{@@tlabel@} on the contents of the
+% braces, assuming (without checking) that the contents are coordinates in
+% parentheses.
+% \begin{macrocode}
+ \newdef\@@tlabel@@##1{%
+ \@ifmplabels {\@@tlabel{##1}}{\@@tlabel@##1}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\extraendtlabel}
+% We now come to the main code under \opt{mplabels}, which should just
+% arrange to write the correct commands to the output file. All labels are
+% passed as \mfc{btex ... etex} structures. The definition of \cs{MFPtext}
+% will have been written earlier by \cs{opengraphsfile}.
+% \cs{extraendtlabel} is a hook currently only used by the \cs{tlabels}
+% command to force a loop.
+% \begin{macrocode}
+ \newdef\mfp@btex##1{btex \noexpand\MFPtext{##1} etex}%
+ \newdef\extraendtlabel{}%
+% \end{macrocode}
+%
+% The command \gbc{newgblabel}, defined in \file{graphbase.mp} for placing
+% labels, uses three parameters to justify the text. If we didn't have to
+% support the \texttt{B} vertical placement option, there would be only
+% two. All the other options involve placement \emph{relative} to the
+% bounding box. But the baseline is absolute: \MP{} always puts it at
+% y-coordinate 0 in the picture returned by \gbc{btex}. The first two
+% parameters are numerical and the third is boolean. The
+% first represents the fraction of the text that lies left of given
+% point. The second is the fraction of the text below the point. If the
+% third parameter is \mfc{true}, this fraction ignores the depth of the
+% text (so $0$ indicates baseline placement); if it is false, the depth
+% is accounted for (so $0$ indicates the very bottom of the text).
+%
+% By this point the letters of the optional parameter have been converted
+% to integer values for \cs{tl@hpos} and \cs{tl@vpos} by
+% \cs{tlabeljustify}. The following converts these integers to comma
+% separated parameters as described above using \cs{ifcase}.
+%
+% The fourth parameter of \gbc{newgblabel} is the angle of rotation. Empty
+% rotation is converted to the angle 0, otherwise it is written as is.
+% All four parameters are stored in \cs{mfp@MPpos}.
+% \begin{macrocode}
+ \newdef\mfp@setMPpos{%
+ \edef\mfp@MPpos{%
+ \ifcase\tl@hpos .5\or 1\else 0\fi, % horizontal
+ \ifcase\tl@vpos 0\or .5\or 1\else 0\fi, % vertical
+ \ifnum \tl@vpos < 0 \mf@T\else\mf@F\fi, % true=Baseline
+ \mfp@mtsub{\tlabel@rot}{0}}}%
+% \end{macrocode}
+%
+% \cs{@@tlabel} is the code called by \cs{tlabel} when \opt{mplabels} is
+% in effect. The argument is a \MP{} pair expression, or comma separated
+% list of them. It should be followed by the \TeX{} code for the label.
+% We will load the label into a token register afterwards. First
+% we restore the meaning of blank lines and then make sure any
+% \texttt{\#}'s in the \TeX{} code are not doubled by changing their
+% category.
+%
+% We load the label in a token register because writing that is (almost)
+% verbatim (blank lines become \cs{par}, \texttt{\#} symbols are
+% doubled if we're not careful, and control names have a space appended).
+% One day maybe we'll try to obtain a true verbatim writing mode.
+% \begin{macrocode}
+ \newdef\@@tlabel##1{\def\mfp@points{##1}\mfp@restorepar
+ \mfp@setMPpos \@makeother\#\mfp@gettoks\@@@tlabel}%
+% \end{macrocode}
+% Then the \gbc{newgblabel} command is written with the justification
+% parameters, and two more: the label tokens, and the point (or list of
+% points). The group (begun by \cs{tlabel}) is ended, and the
+% \cs{extraendtlabel} command invoked.
+% \begin{macrocode}
+ \newdef\@@@tlabel{%
+ \mfcmd{\@nl
+ newgblabel(\mfp@MPpos)(\mfp@btex{\the\mfp@toks})(\mfp@points)}%
+ \endgroup \extraendtlabel}%
+% \end{macrocode}
+%
+% When \opt{mplabels} is not in effect, we use \TeX{} to position the
+% label. By this point, the optional justification parameter to
+% \cs{tlabel} has been converted to integer values of \cs{tl@vpos} and
+% \cs{tl@hpos}, and the coordinates of the location are passed as the
+% first two arguments of \cs{@tlabel}. The third argument is the \TeX{}
+% code for the label.
+%
+% We put the label in a box (\cs{@textbox}) so we can measure and position
+% it. It is a \cs{vbox} so we can have multiline labels. This is effected
+% by wrapping it in a simple, left-aligned, one column \cs{halign},
+% defining \cs{\bsl} to be \cs{cr}. We make this procedure a separate
+% macro, since we need to do the identical thing in the \cs{tlabelpath}
+% code.
+% \begin{macrocode}
+ \newdef\set@textbox##1{%
+ \setbox\@textbox=\vbox{\def\\{\cr}\mfp@restorepar
+ \@tcurr\the\every@tlabel\halign{####\hfil\cr##1\crcr}}}%
+% \end{macrocode}
+%
+% We then compute its total height to simplify later code.
+% \begin{macrocode}
+ \newdef\@tlabel##1##2##3{%
+ \set@textbox{##3}%
+ \mfp@scratch\tb@ht \advance\mfp@scratch\tb@dp
+ \tb@totalht\mfp@scratch
+% \end{macrocode}
+%
+% The following computes whether the rightmost extent of the picture will
+% be increased by the addition of the label. We convert the x-coordinate
+% of the label's location to a distance from the left edge of the picture.
+% We then add to that the amount of the label extending to the right of
+% this location. Then we add or subtract the separation of the label
+% from its location. Finally, we simply add the horizontal adjustment
+% defined by the user with \cs{tlabeloffset}. The value of
+% \cs{@tlabelsright} is set equal to this if it was less. We could omit
+% this group: we never use \cs{@tlabelsright} except in debugging.
+%
+% The macro \cs{tb@wd} expands to \cs{wd}\cs{@textbox}.
+% \begin{macrocode}
+ \mfp@scratch=##1\mfpicunit
+ \@xconv\mfp@scratch
+ \begingroup
+ \ifcase\tl@hpos \advance\mfp@scratch 0.5\tb@wd % center
+ \or \advance\mfp@scratch -\tlabel@sep % right
+ \else \advance\mfp@scratch \tb@wd % left
+ \advance\mfp@scratch \tlabel@sep
+ \fi
+ \advance\mfp@scratch \tlabel@hadj
+ \ifdim \mfp@scratch>\@tlabelsright
+ \@tlabelsright=\mfp@scratch
+ \fi
+ \endgroup
+% \end{macrocode}
+%
+% The following is the same as the previous calculations, but with respect
+% to the leftmost extension of picture and label. Here, however, we save
+% the calculated value in \cs{tb@moveright}, because it is exactly the
+% amount we'll need to \cs{kern} later to position the label.
+% \begin{macrocode}
+ \begingroup
+ \ifcase\tl@hpos \advance\mfp@scratch -0.5\tb@wd % center
+ \or \advance\mfp@scratch -\tb@wd % right
+ \advance\mfp@scratch -\tlabel@sep
+ \else \advance\mfp@scratch \tlabel@sep % left
+ \fi
+ \advance\mfp@scratch \tlabel@hadj
+ \tb@moveright=\mfp@scratch
+ \ifdim \mfp@scratch<\@tlabelsleft
+ \@tlabelsleft=\mfp@scratch
+ \fi
+ \endgroup
+% \end{macrocode}
+%
+% Now we base the calculations on the vertical extent of picture and
+% label. Otherwise the idea is the same, and we may increase
+% \cs{@graphtop}. The macro \cs{tb@ht} means \cs{ht}\cs{@textbox} and
+% \cs{tb@dp} means \cs{dp}\cs{@textbox}. Again we save the calculated
+% result (in \cs{tb@raise}) for later positioning of the label.
+% \begin{macrocode}
+ \mfp@scratch=##2\mfpicunit
+ \@yconv\mfp@scratch
+ \begingroup
+ \ifcase\tl@vpos \advance\mfp@scratch \tb@totalht % bottom
+ \advance\mfp@scratch \tlabel@sep
+ \or \advance\mfp@scratch 0.5\tb@totalht % center
+ \or \advance\mfp@scratch -\tlabel@sep % top
+ \else \advance\mfp@scratch \tb@ht % baseline
+ \fi
+ \advance\mfp@scratch \tlabel@vadj
+ \tb@raise=\mfp@scratch
+ \ifdim \mfp@scratch>\@tlabelstop
+ \@tlabelstop=\mfp@scratch
+ \fi
+ \endgroup
+% \end{macrocode}
+%
+% Finally we compute the bottom-most extent.
+% \begin{macrocode}
+ \begingroup
+ \ifcase\tl@vpos \advance\mfp@scratch \tlabel@sep % bottom
+ \or \advance\mfp@scratch -0.5\tb@totalht % center
+ \or \advance\mfp@scratch -\tb@totalht % top
+ \advance\mfp@scratch -\tlabel@sep
+ \else \advance\mfp@scratch -\tb@dp % baseline
+ \fi
+ \advance\mfp@scratch \tlabel@vadj
+ \ifdim \mfp@scratch<\@tlabelsbot
+ \@tlabelsbot=\mfp@scratch
+ \fi
+ \endgroup
+% \end{macrocode}
+%
+% Now we've computed the new size of \cs{@alltlabels} and we put the
+% new label on top of it with the above calculated kerns.
+% \begin{macrocode}
+ \global \setbox\@alltlabels=%
+ \vtop{\unvbox\@alltlabels
+ \vbox to 0pt{\kern-\tb@raise
+ \hbox{\kern\tb@moveright\box\@textbox}\vss}}%
+ \endgroup % group begun in \tlabel
+ \extraendtlabel}% End \@tlabel
+% \end{macrocode}
+%
+% \subsection{Surrounding the label with a path}\label{surrounding}
+%
+% These next macros place labels, but also define a path surrounding the
+% label This allows one to clear a space for the label, create a
+% background, draw a box around it, etc. They take two optional arguments.
+% The first optional argument depends on the type of path being created.
+% It is described below. The second one is the justification as in the
+% \cs{tlabel} command. There are two mandatory arguments, the location
+% (same syntax as for \cs{tlabel}) and the text. They also have
+% star-forms, which create the path but doesn't place the label.
+%
+% All the curves are sized to just contain what I will call the
+% \emph{label strip}. Imagine a rectangle that just fits around the text.
+% Now extend it on all sides by the value defined with \cs{tlabelsep}.
+% This rectangle is the label strip.
+%
+% \DescribeMacro{\tlabelrect}
+% \cs{tlabelrect} creates the rectangular boundaries of the label strip by
+% default. With the optional argument a rectangle with rounded corners is
+% produced; the optional argument is the radius of the quarter circles used.
+% These quarter circles pass through the corners of the label strip and are
+% joined together with straight lines to create the rest of the rectangle.
+% As a special case, the optional argument can contain the keyword
+% `\texttt{roundends}' to produce a rectangle with the short sides
+% replaced by a semicircle.
+%
+% \DescribeMacro{\tlabeloval}
+% \cs{tlabeloval} produces an ellipse which, by default has the same
+% aspect ratio as the label strip. It is sized to just include that label strip,
+% passing through its four corners. The optional argument contains a
+% numerical factor $m$ that, if greater than 1, increases the width and
+% decreases the height to maintain this relationship with the label strip,
+% while multiplying the width to height ratio by $m$. The default value of
+% $m$ is 1.
+%
+% \DescribeMacro{\tlabelellipse}
+% \cs{tlabelellipse} produces an ellipse, where the optional argument $a$
+% is the ratio of its width to its height. The default for $a$ is 1, which
+% produces a circle.
+%
+% \DescribeMacro{\tlabelcircle}
+% To get a circle the user can \cs{tlabelellipse} without the optional
+% argument, or with argument \oarg{1}. However, it makes for a more
+% readable source if the command reflects the shape. \cs{tlabelcircle} is
+% defined to be essentially \cs{tlabelellipse}\oarg{1}, but it first
+% checks for the \texttt{*} and passes it along in front of the \oarg{1}.
+%
+% We implement the other three by calling \cs{tlpath} with the name of the
+% curve (\texttt{rect}, \texttt{oval}, or \texttt{ellipse}) and the
+% default value of the optional argument (\texttt{0}, \texttt{1}, and
+% \texttt{1}, respectively) as arguments.
+% \begin{macrocode}
+ \newdef\tlabelrect{\tlpath{rect}{0}}%
+ \newdef\tlabeloval{\tlpath{oval}{1}}%
+ \newdef\tlabelellipse{\tlpath{ellipse}{1}}%
+ \newdef\tlabelcircle{%
+ \mfp@ifnextchar*{\@firstoftwo{\tlabelellipse*[1]}}%
+ {\tlabelellipse[1]}}%
+% \end{macrocode}
+%
+% We store the name of the path in \cs{mfp@name} and the default argument
+% in \cs{mfp@param}, then check for a \texttt{*} and set a switch based
+% on it before calling \cs{@tlpath}. The \cs{@figmacstart} must be outside
+% the group so the switches it sets will survive for later commands to
+% detect.
+% \begin{macrocode}
+ \newdef\tlpath##1##2{\@figmacstart
+ \begingroup % ended in \tlabelpath@
+ \def\mfp@name{##1}\def\mfp@param{##2}%
+ \mfp@ifnextchar*%
+ {\@mfpswitchtrue\@firstoftwo{\@tlpath}}% gobbles the star
+ {\@mfpswitchfalse\@tlpath}}%
+% \end{macrocode}
+% Process first optional argument. First one has value of \cs{mfp@param}
+% as default. The second one has a default justification set by the user
+% with \cs{tlpathjustify} or the initial \texttt{[cc]} setting. Once these
+% are processed, we check whether a parentheses follows, calling one of
+% two different handlers for the location parameter(s).
+% \begin{macrocode}
+ \newdef\@tlpath{\null@opt\@@tlpath}%
+ \newdef\@@tlpath[##1]{%
+ \edef\mfp@param{\mfp@mtsub{##1}{\mfp@param}}%
+ \mfp@resetwhitespace
+ \simple@opt\@@@tlpath{\tlpath@v\tlpath@h\tlpath@r}}%
+ \newdef\@@@tlpath##1{\tlabeljustify{##1}%
+ \mfp@setMPpos \mfp@ifnextchar({\@tlabelpath}{\@@tlabelpath}}%
+% \end{macrocode}
+%
+% These handlers just stuff the point into a macro and call the command
+% that reads the label code. The name \cs{mfp@points} is plural (even
+% though only one point is supported) because the internal command that
+% places the label expects this macro. We use \cs{@firstofone} so
+% that the braces will not be written to the output, but they will
+% function as braces for \TeX's parameter matching.
+% \begin{macrocode}
+ \newdef\@tlabelpath (##1,##2){%
+ \def\mfp@points{(\@firstofone{##1},\@firstofone{##2})}%
+ \@@@tlabelpath}%
+ \newdef\@@tlabelpath##1{\def\mfp@points{##1}\@@@tlabelpath}%
+ \newdef\@@@tlabelpath{\mfp@restorepar
+ \@ifmplabels{\@makeother\#}{}\mfp@gettoks\tlabelpath@}%
+% \end{macrocode}
+%
+% Under \opt{mplabels} we just call on \MP{} to do everything (including
+% measuring the text). Otherwise we measure the text in \TeX{} and feed
+% the bounding box corners to \MF{} for making the path. Then we optionally
+% place the text based on the switch previously set. All the data needed
+% have already been stored in macros by previous commands in the chain.
+% \begin{macrocode}
+ \newdef\tlabelpath@{%
+ \@ifmplabels
+ {\mfcmd{text\mfp@name x (\mfp@MPpos)\@nl(origin, % dummy parameter
+ \mfp@btex{\the\mfp@toks}, \mfp@param, \mfp@points)}}%
+ {\measure@textbox{\the\mfp@toks}%
+ \mfcmd{text\mfp@name x (\mfp@MPpos)\@nl(\tb@ll, \tb@ur, % text bbox
+ \mfp@param, \mfp@points)}}%
+ \if@mfpswitch \endgroup % *-form, no label placed
+ \else % tlabel commands contain \endgroup
+ \@ifmplabels{\@@@tlabel}%
+ {\@xp\@@tlabel@\mfp@points{\the\mfp@toks}}%
+ \fi}%
+% \end{macrocode}
+%
+% Here we define the command that measures the text. It is almost a clone
+% of a similar code sequence in \cs{@tlabel}, but it produces the \gbc{ll}
+% and \gbc{ur} (corners of the boundingbox) that the \grafbase{} code
+% needs.
+% \begin{macrocode}
+ \newdef\measure@textbox##1{%
+ \set@textbox{##1}%
+ \edef\tb@ll{(0, -(\the\tb@dp))}%
+ \edef\tb@ur{(\the\tb@wd, \the\tb@ht)}}%
+% \end{macrocode}
+%
+% \subsection{Placing multiple text labels}\label{multiple}
+%
+% \DescribeMacro{\tlabels}
+% One of the more onerous things about labels in \env{mfpic} environments
+% was the shear number of them. The following was intended to reduce the
+% amount of typing by having to repeat only the arguments. \cs{tlabels}
+% takes only one argument: any sequence of valid arguments for a \cs{tlabel}
+% command, optionally separated by whitespace (but not blank lines).
+%
+% We begin a group, reset whitespace to normal, and call the command that
+% reads the argument. That command arranges to make the main code
+% self-looping by defining \cs{extraendtlabel} to call the beginning of the
+% loop, then it feeds its argument to \cs{do@tlabels} followed by a
+% delimiter to signal the end of the loop.
+% \begin{macrocode}
+ \newdef\tlabels{%
+ \begingroup % ended in \do@tlabels
+ \mfp@resetwhitespace \@tlabels}%
+ \newdef\@tlabels##1{\def\extraendtlabel{\do@tlabels}%
+ \do@tlabels##1\mfp@delim}%
+% \end{macrocode}
+%
+% If \cs{do@tlabels} sees the end-of-loop delimiter it ends the group and
+% gobbles the delimiter. Otherwise it calls \cs{tlabel}, which sees the
+% next set of arguments, and repeats the loop.
+% \begin{macrocode}
+ \newdef\do@tlabels{%
+ \mfp@ifnextchar\mfp@delim{\@firstoftwo\endgroup}{\tlabel}}%
+% \end{macrocode}
+%
+% Labelling axes generates a lot of \cs{tlabel} commands or a single
+% \cs{tlabels} command with a lot of arguments. Given that such labels
+% have much in common (e.g., for the x-axis the y-coordinate and the
+% justification are usually the same for all the labels) we can do still
+% better at abbreviating this task.
+%
+% \DescribeMacro{\axislabels}
+% The \cs{axislabels} command takes a mandatory argument (the axis)
+% followed by an optional argument (the justification, as in the
+% \cs{tlabel} command), followed by another mandatory argument, a comma
+% separated list of items of the form
+% \marg{\meta{label}}\meta{coordinate}. The label is placed at that
+% coordinate on the given axis. This command is complicated by the fact
+% that the default justification should be different for each axis (for
+% example, for the y-axis it is \oarg{cr} but for the x-axis it is
+% \oarg{tc}). For all of them, one of the parts is \texttt{c}, so after
+% resetting whitespace we initialize them both to this and later change
+% only the one that needs it.
+%
+% Also, one of the coordinates of a label will be given by the argument,
+% while the other is the location of the axis. However, which coordinate
+% is which is different for different axes. What we do is feed the
+% argument to \cs{mfp@xcoord} and \cs{mfp@ycoord}. Both are initialized to
+% the identity macro, but one is changed to expand to just the axis
+% position.
+%
+% The axis position for x- and y-axis is 0. For border axes it is
+% calculated by adding the border axis shift to the border coordinate.
+% \begin{macrocode}
+ \newdef\axislabels##1{%
+ \begingroup % ended in \do@axislabel
+ \mfp@resetwhitespace \tlabeljustify{cc}%
+ \let\mfp@xcoord=\@firstofone \let\mfp@ycoord=\@firstofone
+ \get@axisnum{##1}\axislabels
+ \ifcase\mfp@axisnum \tl@vpos=2 % x-axis -->[tc]
+ \def\mfp@ycoord{0}%
+ \or \tl@hpos=1 % y-axis-->[cr]
+ \def\mfp@xcoord{0}
+ \or \tl@hpos=1 % left -->[cr]
+ \edef\mfp@xcoord{\mfp@lshift}\mfpaddto\mfp@xcoord{#3}%
+ \or \tl@vpos=2 % bottom-->[tc]
+ \edef\mfp@ycoord{\mfp@bshift}\mfpaddto\mfp@ycoord{#5}%
+ \or \tl@hpos=-1 % right -->[cl]
+ \edef\mfp@xcoord{-\mfp@rshift}\mfpaddto\mfp@xcoord{#4}%
+ \or \tl@vpos=0 % top -->[bc]
+ \edef\mfp@ycoord{-\mfp@tshift}\mfpaddto\mfp@ycoord{#6}%
+ \fi
+% \end{macrocode}
+%
+% Now one of \cs{mfp@xcoord} or \cs{mfp@ycoord} expands to the axis
+% position. We change it so that it does this while gobbling a parameter.
+% And then call \cs{@axislabels}, feeding it an empty argument as the
+% default optional argument.
+% \begin{macrocode}
+ \ifx\@firstofone\mfp@xcoord
+ \edef\mfp@ycoord####1{\mfp@ycoord}%
+ \else
+ \edef\mfp@xcoord####1{\mfp@xcoord}%
+ \fi \null@opt\@axislabels}%
+% \end{macrocode}
+%
+% \cs{@axislabels} processes the contents of the optional parameter and
+% calls \cs{do@axislabel} on the list in the argument. An additional item
+% is added that signals the end of the loop.
+% \begin{macrocode}
+ \newdef\@axislabels[##1]##2{%
+ \tlabeljustify{##1}%
+ \do@axislabel~ ##2,\mfp@delim}%
+% \end{macrocode}
+%
+% We add some code that traps the most common typos: a comma between the
+% label and the coordinate, or a missing coordinate, or a doubled comma.
+% It seems impossible to detect which of the first two has happened, and
+% assuming the first case produces really awful results if the second is
+% true. Therefore when a coordinate seems to be missing, we just lose the
+% text (as we have no place to put it) and resume the loop. If the first
+% case is true, the next iteration will see only the number, read one
+% digit or decimal as the text and the rest as the coordinate. The output
+% will be wrong, but at least \TeX{} can proceed.
+%
+% Above we prepended a `\verb*+~ +' so that if the coordinate is missing,
+% the braces around the argument won't be lost; the space will be
+% consumed in the argument processing of \cs{do@@axislabel}.
+%
+% The first argument should be the label, and everything from that to the
+% comma is the location. In the above error cases, the second argument
+% is empty
+% \begin{macrocode}
+ \newdef\do@axislabel~##1,{%
+ \@ifmtarg{##1}{\x@axislabel}{\do@@axislabel##1\@nil}}%
+ \newdef\do@@axislabel##1##2\@nil{%
+ \@ifmtarg{##2}%
+ {\Mfpic@warn{Possible extra comma, missing coordinate, or
+ missing\@msgbreak braces in \string\axislabels\@online.
+ Skipping this label.}}%
+ {\tlabel(\mfp@xcoord{##2},\mfp@ycoord{##2}){##1}}%
+ \x@axislabel}%
+ \newdef\x@axislabel{% check for end of list
+ \mfp@ifnextchar\mfp@delim{\@firstoftwo\endgroup}{\do@axislabel~ }}%
+% \end{macrocode}
+%
+% \subsection{Captions}\label{captions}
+%
+% Captions are not added immediately by the \cs{tcaption} command. That
+% command redefines \cs{@docaption} to add it, and \cs{endmfpic} executes
+% \cs{@docaption}. For now, \cs{@docaption} does nothing.
+% \begin{macrocode}
+ \newdef\@docaption{}%
+% \end{macrocode}
+%
+% \DescribeMacro{\tcaption}
+% \cs{tcaption} takes an optional argument that holds two numbers,
+% separated by a comma. The first number determines the maximum width of a
+% one line caption. Captions larger than that multiple of the width of the
+% graphic will be reset as a paragraph, whose lines have length the second
+% number times the width of the graph. The defaults are \oarg{1.2,1}.
+%
+% \cs{@tcaption} has one mandatory argument, the caption's text. In it, the
+% \cs{\bsl} command forces line breaks. This works by forcing the width to
+% be greater than any reasonable setting of the maximum line width. When
+% this happens, the caption is reset in a \cs{vbox} and \cs{\bsl} is
+% redefined like a normal line break.
+% \begin{macrocode}
+ \newdef\tcaption{\simple@opt\tcaption@{1.2, 1.0}}%
+ \newdef\tcaption@##1{\@tcaption##1\mfp@delim}%
+ \long\def\@tcaption##1,##2\mfp@delim##3{%
+ \def\@docaption{%
+ \setbox\@textbox=%
+ \hbox{\def\\{\hskip\@M\p@}\mfp@restorepar
+ \@tcurr##3}%
+% \end{macrocode}
+%
+% If the above \cs{hbox} is too wide, we re-assign \cs{@textbox} to a
+% \cs{vbox} with \cs{hsize} determined by the second part of the optional
+% argument, and with \cs{leftskip} and \cs{rightskip} defined according
+% to the setting of \opt{centeredcaptions}.
+% \begin{macrocode}
+ \@graphwd=\wd\@wholegraph
+ \ifdim\tb@wd>##1\@graphwd
+ \setbox\@textbox=%
+ \hbox{%
+ \vbox{%
+ \if@mfp@latex % keep LaTeX's `\\'
+ \else
+ \def\\{\unskip\hbox{}\hfil\penalty-\@M\ignorespaces}%
+ \fi
+ \if@mfp@centcapt
+ \leftskip=0pt plus 0.5fil
+ \rightskip=0pt plus -0.5fil
+ \parfillskip=0pt plus 1fil
+ \else
+ \leftskip=0pt
+ \rightskip=0pt
+ \fi
+ \hsize=##2\@graphwd \mfp@restorepar
+ \noindent\@tcurr ##3%
+ }% End vbox.
+ }% End hbox.
+ \fi
+% \end{macrocode}
+%
+% Here we determine the wider of the graph or the caption, then put the
+% graph and caption together by centering them in \cs{hbox}es with this
+% width, stacked one atop the other with \cs{mfpiccaptionskip} (default:
+% \cs{medskipamount}) in between.
+% \begin{macrocode}
+ \mfp@scratch=\wd\@wholegraph
+ \ifdim \mfp@scratch<\tb@wd \mfp@scratch=\tb@wd \fi
+ \global\setbox\@wholegraph=%
+ \vbox{\hbox to \mfp@scratch{\hss\box\@wholegraph\hss}%
+ \nointerlineskip \vskip\mfpiccaptionskip
+ \hbox to \mfp@scratch{\hss\box\@textbox\hss}}% End vbox.
+ }% End \@docaption.
+% \ignorespaces
+ }% End \@tcaption.
+% \ignorespaces
+}% End of \@mfpic
+% \end{macrocode}
+%
+%
+% \section{Placing the picture: \cs{endmfpic}}\label{endmfpic}
+%
+% By the time \cs{endmfpic} is reached, the \MF{} code for the figure has
+% all been written to the output file. The labels have all been
+% accumulated and arrangements have been made to add the caption.
+%
+% \DescribeMacro{\endmfpic}
+% Under \opt{metapost}, write \cs{endgroup} to match beginning written
+% by \cs{mfpic} Then write the \cs{grafbase} command \gbc{endmfpic},
+% followed by a comment telling which figure number it is, and the line
+% number in the \TeX{} source where the \cs{endmfpic} occurred.
+% \begin{macrocode}
+\mfp@DBlog{Definition of closure of mfpic environment.}%
+\newdef\endmfpic{%
+ \mfsrc{\mfp@ifmpost{\@nl verbatimtex \endgroup\space etex;}{}\@nl
+ endmfpic;\mf@p (\number\mfp@count) \space\@mfplineno.\@nl
+ \mf@p\mf@d\mf@d\mf@d\@nl}%
+ \ifmfpicdebug\wlog{}\wlog{Mfpic: ENTERED endmfpic.}\wlog{}\fi
+% \end{macrocode}
+% The code to load and place the box is skipped if figure shipping was
+% turned off.
+% \begin{macrocode}
+ \if@shipping %
+% \end{macrocode}
+%
+% \subsection{Loading and measuring the graphic}\label{loading}
+%
+% Now we load the graphic. It would be at this point that we could add a
+% \cs{write18} to process the figure on-the-fly. Of course that would
+% require re-initializing the output file with each graphic (i.e., the
+% equivalent of issuing \cs{opengraphsfile} at every \cs{mfpic} and
+% \cs{closegraphsfile} at every \cs{endmfpic}.)
+% \begin{macrocode}
+ \global\setbox\@wholegraph=%
+ \vbox{%
+% \end{macrocode}
+%
+% If draft mode has been detected or set by the user, we just make a box
+% of the size specified with the figure number inside it.
+% \begin{macrocode}
+ \ifmfpicdraft
+ \vbox to \@graphtop{\vss
+ \hbox to \@graphwd{\kern2pt\tt\#\number\mfp@count\hss}%
+ \kern2pt}%
+ \else
+% \end{macrocode}
+%
+% The \opt{truebbox} option works at the \MP{} level. Without it the
+% height of the EPS bounding box will actually be the calculated value
+% of \cs{@graphtop} (but increased by up to \texttt{2bp} due to rounding).
+% With it, the box will be its natural height. In either case, the actual
+% height is what we use in the \MP{} case. For \MF{} we use the nominal
+% height calculated in \cs{mfpic}.
+% \begin{macrocode}
+ \mfp@ifmpost{\vbox}{\vbox to \@graphtop}%
+ {\vss
+% \end{macrocode}
+%
+% \cs{@graphfilename} holds the name of the \MP{} output figure. (It will be
+% ignored by the \opt{metafont} option.) We test if the file exists before
+% doing the graphic inclusion because of the large number of confusing error
+% messages many graphic inclusion packages generate otherwise. When absent
+% we substitute the figure number for \cs{@setmfpicgraphic}. When present,
+% and if in \LaTeXe, we arrange for the current numerical extension to be
+% accepted as an EPS or MPS file by the \cs{includegraphics} command of the
+% graphics package.
+% \begin{macrocode}
+ \edef\@graphfilename{\setfilename{\mfp@filename}%
+ {\number\mfp@count}}%
+ \mfp@ifmpost
+ {\openin\mfp@graph=\@graphfilename\relax
+ \ifeof\mfp@graph
+ \Mfpic@msg{No graph file: \@graphfilename\space.}%
+ \def\@setmfpicgraphic##1{\raise2pt\hbox{\kern2pt\tt ##1}}%
+ \closein\mfp@graph
+ \else\if@mfp@latexe
+ \@namedef{Gin@rule@.\number\mfp@count}##1{%
+ {\mfp@Gtype}{.\number\mfp@count}{##1}}%
+ \fi\fi}{}%
+% \end{macrocode}
+%
+% We put the graphic in an \cs{hbox} of the required width and close off
+% the boxes.
+% \begin{macrocode}
+ \mfp@ifmpost{\hbox}{\hbox to \@graphwd}%
+ {\@xp\@setmfpicgraphic\@xp{\@graphfilename}\hss}% End hbox.
+ \kern0pt
+ }% End vbox
+ \fi
+ }%% End vbox (\setbox\@wholegraph)
+% \end{macrocode}
+%
+% We change the horizontal and vertical dimensions under \opt{metapost} in
+% case \opt{truebbox} was in effect, but also because they are almost always
+% rounded up to whole numbers of \texttt{bp} and therefore, even without
+% \opt{truebbox} the calculated values needn't be correct.
+% \begin{macrocode}
+ \mfp@ifmpost
+ {\@graphright=\wd\@wholegraph
+ \@graphtop=\ht\@wholegraph
+ \@graphwd=\@graphright}{}%
+ \ifmfpicdebug
+ \wlog{Mfpic: graphleft = \the\@graphleft}%
+ \wlog{Mfpic: graphright = \the\@graphright}%
+ \wlog{Mfpic: graphtop = \the\@graphtop}%
+ \wlog{Mfpic: graphbot = \the\@graphbot}%
+ \wlog{Mfpic: graphwd = \the\wd\@wholegraph}%
+ \wlog{Mfpic: graphht = \the\ht\@wholegraph}%
+ \wlog{Mfpic: graphdp = \the\dp\@wholegraph}%
+ \wlog{}%
+ \fi
+% \end{macrocode}
+%
+% \subsection{Adding labels and caption}\label{addlabel}
+%
+% We now add the box \cs{@alltlabels} onto the graph box. The box should
+% still have 0pt height and depth, so we can just stick it under the graph
+% box. But first we have to adjust for \cs{mfpicllx} and \cs{mfpiclly}
+% which can only be known after the graphics inclusion. We reset the box
+% \cs{@alltlabels} so its contents are shifted by these values. We only
+% need to do this if labels have have actually been added. The signal that
+% this has happened is that the label dimensions are no longer
+% $\pm$\cs{maxdimen}.
+% \begin{macrocode}
+ \ifmfpicdebug
+ \wlog{Mfpic: tlabelsleft = \the\@tlabelsleft}%
+ \wlog{Mfpic: tlabelsright = \the\@tlabelsright}%
+ \wlog{Mfpic: tlabelstop = \the\@tlabelstop}%
+ \wlog{Mfpic: tlabelsbot = \the\@tlabelsbot}%
+ \wlog{}%
+ \fi
+ \ifdim\@tlabelsleft < \maxdimen
+ \setbox\@alltlabels\vtop to 0pt{%
+ \kern \mfpiclly bp
+ \moveleft \mfpicllx bp \box\@alltlabels
+ \vss}%
+% \end{macrocode}
+% Then we adjust \cs{@tlabelsleft}, etc. for the boundingbox offset.
+% \begin{macrocode}
+ \mfp@scratch\@tlabelsleft
+ \advance\mfp@scratch-\mfpicllx bp
+ \ifdim\mfp@scratch<\@graphleft
+ \@graphleft\mfp@scratch
+ \fi
+ \mfp@scratch\@tlabelsright
+ \advance\mfp@scratch-\mfpicllx bp
+ \ifdim\mfp@scratch>\@graphright
+ \@graphright\mfp@scratch
+ \fi
+ \mfp@scratch\@tlabelstop
+ \advance\mfp@scratch-\mfpiclly bp
+ \ifdim\mfp@scratch>\@graphtop
+ \@graphtop\mfp@scratch
+ \fi
+ \mfp@scratch\@tlabelsbot
+ \advance\mfp@scratch-\mfpiclly bp
+ \ifdim\mfp@scratch<\@graphbot
+ \@graphbot\mfp@scratch
+ \fi
+ \setbox\@wholegraph=\vtop{%
+ \unvbox\@wholegraph\box\@alltlabels}%
+ \fi
+% \end{macrocode}
+%
+% The method for putting labels in \cs{@alltlabels} does not add any width
+% on the left, nor any height to the top or depth to the bottom of that box
+% (that \TeX{} can detect), but we have saved their values and now we can
+% use them. For example, if \cs{@graphleft} is negative after the above,
+% then a label sticks out to the left, but \TeX{} thinks it has no width.
+% Therefore put \cs{kern}\texttt{-}\cs{@graphleft} to move the graph
+% rightward. The height and depth are taken care of by putting it in
+% \cs{vbox} with the calculated total height and moving the graph upward
+% with \cs{kern}\texttt{-}\cs{@graphbot}. The rightward extensions do get
+% detected by \TeX.
+% \begin{macrocode}
+ \ifmfpicdebug
+ \wlog{Mfpic: tlabelsleft = \the\@tlabelsleft}%
+ \wlog{Mfpic: tlabelsright = \the\@tlabelsright}%
+ \wlog{Mfpic: tlabelstop = \the\@tlabelstop}%
+ \wlog{Mfpic: tlabelsbot = \the\@tlabelsbot}%
+ \wlog{}%
+ \fi
+ \mfp@scratch=\@graphtop
+ \advance\mfp@scratch by -\@graphbot
+ \global \setbox\@wholegraph=%
+ \vbox to \mfp@scratch{\vss
+ \hbox{\kern-\@graphleft\box\@wholegraph}%
+ \kern-\@graphbot}% End vbox.
+% \end{macrocode}
+%
+% Now add the caption, then set the parameters \cs{mfpicheight} and
+% \cs{mfpicwidth} for user to examine. The debug info now should show
+% graphwd${}={}$graphright${}-{}$graphleft,
+% graphht${}={}$graphtop${}-{}$graphbot, and graphdp${}= 0$.
+% \begin{macrocode}
+ \ifmfpicdebug
+ \wlog{Mfpic: graphleft = \the\@graphleft}%
+ \wlog{Mfpic: graphright = \the\@graphright}%
+ \wlog{Mfpic: graphtop = \the\@graphtop}%
+ \wlog{Mfpic: graphbot = \the\@graphbot}%
+ \wlog{Mfpic: graphwd = \the\wd\@wholegraph}%
+ \wlog{Mfpic: graphht = \the\ht\@wholegraph}%
+ \wlog{Mfpic: graphdp = \the\dp\@wholegraph}%
+ \wlog{}%
+ \fi
+ \@docaption
+ \global\mfpicheight\ht\@wholegraph
+ \global\mfpicwidth\wd\@wholegraph
+ \ifmfpicdebug
+ \wlog{Mfpic: graphleft = \the\@graphleft}%
+ \wlog{Mfpic: graphright = \the\@graphright}%
+ \wlog{Mfpic: graphtop = \the\@graphtop}%
+ \wlog{Mfpic: graphbot = \the\@graphbot}%
+ \wlog{Mfpic: graphwd = \the\wd\@wholegraph}%
+ \wlog{Mfpic: graphht = \the\ht\@wholegraph}%
+ \wlog{Mfpic: graphdp = \the\dp\@wholegraph}%
+ \wlog{}%
+ \fi
+% \end{macrocode}
+%
+% \subsection{Placing the graphic}\label{placing}
+%
+% Add a frame around the box \cs{@wholegraph} in draft mode (so its size
+% can be seen) since there is practically nothing in it except the picture
+% number
+% \begin{macrocode}
+ \ifmfpicdraft
+ \setbox\@wholegraph=%
+ \hbox{\@mfpframed{-\mfpframethickness}{\box\@wholegraph}}%
+ \fi
+% \end{macrocode}
+%
+% If the \cs{savepic} command occurred prior to this, then \cs{s@vemfpic}
+% is defined and we save this picture in the box named in that
+% \cs{savepic} command and stored in the macro \cs{s@vemfpic}. Otherwise,
+% \cs{s@vemfpic} is undefined, and we place the picture (\cs{@wholegraph})
+% in the document. Afterward, we undefine \cs{s@vemfpic}.
+% \begin{macrocode}
+ \mfp@ifdefined\s@vemfpic
+ {\global\setbox\s@vemfpic=\box\@wholegraph}%
+ {\leavevmode\box\@wholegraph}%
+ \global\let\s@vemfpic\UndEfInEd
+% \end{macrocode}
+%
+% Now we advance the figure count, end the group started by the \cs{mfpic}
+% command, restore the values of extra font dimensions that were saved,
+% then arrange for spaces to be ignored in case the syntax
+% \cs{begin}\marg{mfpic}$\ldots$\cs{end}\marg{mfpic} was used.
+% \begin{macrocode}
+ \global \advance\mfp@count1
+ \fi % end of \if@shipping
+ \endgroup % Begun near start of \@mfpic
+ \restore@mfpicdimens
+ \if@mfp@latex
+ \def\mfptmp@a{mfpic}%
+ \ifx\mfptmp@a\@currenvir
+ \@ignoretrue% so \endmfpic and \end{mfpic} have the same effect.
+ \fi
+ \fi
+ \ignorespaces
+}%
+% \end{macrocode}
+%
+%
+% \section{Additional features}\label{additional}
+%
+% \subsection{Saving a copy of the picture}\label{saving}
+%
+% \DescribeMacro{\newsavepic}
+% One saves a picture by first allocating a save box with
+% \cs{newsavepic}\marg{\cs{mypic}}, then saying
+% \cs{savepic}\marg{\cs{mypic}} beforehand. The \cs{endmfpic} code
+% detects that this has been done and saves the picture in \cs{mypic}.
+% It can be placed with \cs{usepic}{\cs{mypic}}.
+%
+% \cs{newsavepic} is just a clone of \LaTeX's \cs{newsavebox}. The one
+% argument is a control sequence.
+% \begin{macrocode}
+\newdef\newsavepic#1{%
+ \if@mfp@latex \newsavebox{#1}%
+ \else
+ \mfp@ifdefined{#1}%
+ {\mfp@errmsg
+ {Command \string #1 already defined.}%
+ {You have used \newsavepic with an already defined or an^^J%
+ improper control sequence. Replace #1 with another name.^^J%
+ If you proceed, \newsavepic will be ignored.}}%
+ {\csname newbox\endcsname#1}%
+ \fi}%
+\newlet\newpic=\newsavepic % compatibility
+% \end{macrocode}
+%
+% \DescribeMacro{\savepic}
+% All \cs{savepic} really does is define \cs{s@vepic} to its argument,
+% which should be a control sequence defined by \cs{newsavepic} (or
+% \cs{newbox}).
+% \begin{macrocode}
+\newdef\savepic#1{\relax
+ \mfp@ifdefined{#1}{\gdef\s@vemfpic{#1}}%
+ {\mfp@errmsg{Box \string#1 undefined.}%
+ {You tried to save a picture in a box which had not been^^J%
+ previously allocated. Use \newsavepic to allocate a box.}}}%
+% \end{macrocode}
+%
+% \DescribeMacro{\usepic}
+% \cs{usepic} takes one argument, a control sequence that should have
+% been previously used in a \cs{savepic} comamnd. It just places the box
+% with the primitive \cs{copy} command.
+% \begin{macrocode}
+\newdef\usepic#1{\leavevmode \copy#1\relax}%
+% \end{macrocode}
+%
+% \subsection{Putting a frame around it}\label{frame}
+%
+% This is essentially code I wrote years ago to have a framing command
+% that had two properties not enjoyed by come example `\cs{boxit}' commands
+% for plain\TeX: It should have a baseline the same as the baseline of the
+% contents, and it should work as an environment, not by reading an
+% argument (so verbatim material could be included).
+%
+% \DescribeMacro{\mfpframed}
+% \DescribeMacro{\mfpframe}
+% \cs{mfpframed} takes an optional argument (the separation) and a
+% mandatory argument, the contents. \cs{mfpframe}$\ldots$\cs{endmfpframe}
+% is an environment and \cs{mfpframe} also takes the separation as an
+% optional argument.
+%
+% \DescribeMacro{\framed}
+% \cs{framed} is a common command (\ConTeXt{} has one, a few packages also
+% define it), therefore we only define it if it is not already defined.
+% \begin{macrocode}
+\newdef\mfpframed{\simple@opt\@mfpframed\mfpframesep}%
+\newdef\mfpframe{\simple@opt\@mfpframe\mfpframesep}%
+\newdef\@mfpframed#1#2{\@mfpframe{#1}#2\endmfpframe}%
+\newdef\@mfpframe#1{%
+ \leavevmode\hbox\bgroup
+ \mfpframesep#1\relax
+ \vrule width\mfpframethickness
+ \vtop\bgroup
+ \vbox\bgroup
+ \hrule height\mfpframethickness
+ \kern\mfpframesep
+ \hbox\bgroup \kern\mfpframesep \ignorespaces}%
+\newdef\endmfpframe{\unskip
+ \kern\mfpframesep
+ \egroup % end hbox
+ \egroup % end vbox
+ \kern\mfpframesep
+ \hrule height\mfpframethickness
+ \egroup % end vtop
+ \vrule width\mfpframethickness
+ \egroup}% end hbox
+\mfp@ifdefined\framed{}{\newlet\framed=\mfpframed}%
+% \end{macrocode}
+%
+% \subsection{Adding \mfc{verbatimtex} to the \file{.mp}
+% file}\label{verbatimtex}
+%
+% \DescribeMacro{mfpverbtex}
+% This is a user level utility for putting some \mfc{verbatimtex} material
+% in the output file for \MP. We allow the user to do this even before
+% \cs{opengraphsfile} by storing it in a token register and setting a flag
+% for that command to test.
+% \begin{macrocode}
+\newif\if@mfp@verbtex
+\def\mfpverbtex{%
+% \end{macrocode}
+%
+% We start a group, make sure lines will be preserved in writing the
+% material, make sure that \texttt{\#} characters will not be doubled by
+% changing its category, then continue after loading the code into the
+% token register \cs{mfp@verbtex}.
+% \begin{macrocode}
+ \begingroup \preservelines \@makeother\#%
+ \afterassignment\mfp@writetex\global\mfp@verbtex=}%
+% \end{macrocode}
+%
+% We end the group and then either set the switch to tell
+% \cs{opengraphsfile} that the material is ready, or we write it to the
+% output, between the commands \gbc{verbatimtex} and \cs{etex}.
+% \begin{macrocode}
+\def\mfp@writetex{%
+ \endgroup
+ \@ifmfpfileisopen
+ {\mfp@ifmpost
+ {\mfsrc{verbatimtex}\mfsrc{\the\mfp@verbtex}\mfcmd{etex}}%
+ {\noMP@error{verbatimtex}}%
+ \global\@mfp@verbtexfalse\mfp@verbtex{}}%
+ {\global\@mfp@verbtextrue}}%
+% \end{macrocode}
+%
+%
+% \section{Finale}\label{finale}
+%
+% Set the default starting graphic number.
+% \begin{macrocode}
+\global\mfp@count=1 % 1 because we now advance it in \endmfpic.
+% \end{macrocode}
+%
+% Create a system for adding patches in the file \file{mfppatch.tex},
+% and for user defaults in a file \file{mfpic.usr}.
+% \begin{macrocode}
+\newdef\MFPICinput#1{%
+ \immediate\openin\mfp@graph=#1
+ \ifeof\mfp@graph
+ \immediate\closein\mfp@graph
+ \else
+ \immediate\closein\mfp@graph
+ \input #1
+ \fi}%
+\MFPICinput{mfppatch.tex}%
+% \end{macrocode}
+%
+% Restore the meaning of \cs{+}, and of the \cs{newlinechar}, and execute
+% the command that restores all the saved category codes.
+% \begin{macrocode}
+\mfp@DBlog{Punctuation, etc., will revert to old catcodes now.}%
+\let\+\mfpsaveplus
+\restorenewlinechar
+\MFPicpackagE%
+\MFPICinput{mfpic.usr}%
+%</tex>
+% \end{macrocode}
+%
+% Generate a (far too) simple wrapper for \LaTeX.
+% \begin{macrocode}
+%<*sty>
+\input mfpic.tex\relax
+%</sty>
+% \end{macrocode}
+%\clearpage
+%\Finale