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+% Macros for The TeXbook
+
+\catcode`@=11 % borrow the private macros of PLAIN (with care)
+
+\font\tentex=amtex10
+
+\font\inchhigh=aminch
+\font\titlefont=amssmc40
+
+\font\ninerm=amr9
+\font\eightrm=amr8
+\font\sixrm=amr6
+
+\font\ninei=ammi9
+\font\eighti=ammi8
+\font\sixi=ammi6
+\skewchar\ninei='177 \skewchar\eighti='177 \skewchar\sixi='177
+
+\font\ninesy=amsy9
+\font\eightsy=amsy8
+\font\sixsy=amsy6
+\skewchar\ninesy='60 \skewchar\eightsy='60 \skewchar\sixsy='60
+
+\font\eightss=amssq8
+
+\font\eightssi=amssqi8
+
+\font\ninebf=ambx9
+\font\eightbf=ambx8
+\font\sixbf=ambx6
+
+\font\ninett=amtt9
+\font\eighttt=amtt8
+
+\hyphenchar\tentt=-1 % inhibit hyphenation in typewriter type
+\hyphenchar\ninett=-1
+\hyphenchar\eighttt=-1
+
+\font\ninesl=amsl9
+\font\eightsl=amsl8
+
+\font\nineit=amti9
+\font\eightit=amti8
+
+\font\tenu=amu10 % unslanted text italic
+\font\magnifiedfiverm=amr5 at 10pt
+\font\man=manfnt % font used for special symbols (old version)
+%\font\manual=manual % font used for the METAFONT logo, etc. (new version)
+ % manual [which isn't complete yet] is supposed to replace manfnt some day
+
+\newskip\ttglue
+\def\tenpoint{\def\rm{\fam0\tenrm}%
+ \textfont0=\tenrm \scriptfont0=\sevenrm \scriptscriptfont0=\fiverm
+ \textfont1=\teni \scriptfont1=\seveni \scriptscriptfont1=\fivei
+ \textfont2=\tensy \scriptfont2=\sevensy \scriptscriptfont2=\fivesy
+ \textfont3=\tenex \scriptfont3=\tenex \scriptscriptfont3=\tenex
+ \def\it{\fam\itfam\tenit}%
+ \textfont\itfam=\tenit
+ \def\sl{\fam\slfam\tensl}%
+ \textfont\slfam=\tensl
+ \def\bf{\fam\bffam\tenbf}%
+ \textfont\bffam=\tenbf \scriptfont\bffam=\sevenbf
+ \scriptscriptfont\bffam=\fivebf
+ \def\tt{\fam\ttfam\tentt}%
+ \textfont\ttfam=\tentt
+ \tt \ttglue=.5em plus.25em minus.15em
+ \normalbaselineskip=12pt
+ \def\MF{{\manual META}\-{\manual FONT}}%
+ \let\sc=\eightrm
+ \let\big=\tenbig
+ \setbox\strutbox=\hbox{\vrule height8.5pt depth3.5pt width\z@}%
+ \normalbaselines\rm}
+
+\def\ninepoint{\def\rm{\fam0\ninerm}%
+ \textfont0=\ninerm \scriptfont0=\sixrm \scriptscriptfont0=\fiverm
+ \textfont1=\ninei \scriptfont1=\sixi \scriptscriptfont1=\fivei
+ \textfont2=\ninesy \scriptfont2=\sixsy \scriptscriptfont2=\fivesy
+ \textfont3=\tenex \scriptfont3=\tenex \scriptscriptfont3=\tenex
+ \def\it{\fam\itfam\nineit}%
+ \textfont\itfam=\nineit
+ \def\sl{\fam\slfam\ninesl}%
+ \textfont\slfam=\ninesl
+ \def\bf{\fam\bffam\ninebf}%
+ \textfont\bffam=\ninebf \scriptfont\bffam=\sixbf
+ \scriptscriptfont\bffam=\fivebf
+ \def\tt{\fam\ttfam\ninett}%
+ \textfont\ttfam=\ninett
+ \tt \ttglue=.5em plus.25em minus.15em
+ \normalbaselineskip=11pt
+ \def\MF{{\manual hijk}\-{\manual lmnj}}%
+ \let\sc=\sevenrm
+ \let\big=\ninebig
+ \setbox\strutbox=\hbox{\vrule height8pt depth3pt width\z@}%
+ \normalbaselines\rm}
+
+\def\eightpoint{\def\rm{\fam0\eightrm}%
+ \textfont0=\eightrm \scriptfont0=\sixrm \scriptscriptfont0=\fiverm
+ \textfont1=\eighti \scriptfont1=\sixi \scriptscriptfont1=\fivei
+ \textfont2=\eightsy \scriptfont2=\sixsy \scriptscriptfont2=\fivesy
+ \textfont3=\tenex \scriptfont3=\tenex \scriptscriptfont3=\tenex
+ \def\it{\fam\itfam\eightit}%
+ \textfont\itfam=\eightit
+ \def\sl{\fam\slfam\eightsl}%
+ \textfont\slfam=\eightsl
+ \def\bf{\fam\bffam\eightbf}%
+ \textfont\bffam=\eightbf \scriptfont\bffam=\sixbf
+ \scriptscriptfont\bffam=\fivebf
+ \def\tt{\fam\ttfam\eighttt}%
+ \textfont\ttfam=\eighttt
+ \tt \ttglue=.5em plus.25em minus.15em
+ \normalbaselineskip=9pt
+ \def\MF{{\manual opqr}\-{\manual stuq}}%
+ \let\sc=\sixrm
+ \let\big=\eightbig
+ \setbox\strutbox=\hbox{\vrule height7pt depth2pt width\z@}%
+ \normalbaselines\rm}
+
+\def\tenmath{\tenpoint\fam-1 } % use after $ in ninepoint sections
+\def\tenbig#1{{\hbox{$\left#1\vbox to8.5pt{}\right.\n@space$}}}
+\def\ninebig#1{{\hbox{$\textfont0=\tenrm\textfont2=\tensy
+ \left#1\vbox to7.25pt{}\right.\n@space$}}}
+\def\eightbig#1{{\hbox{$\textfont0=\ninerm\textfont2=\ninesy
+ \left#1\vbox to6.5pt{}\right.\n@space$}}}
+
+% Page layout
+\newdimen\pagewidth \newdimen\pageheight \newdimen\ruleht
+\hsize=29pc \vsize=44pc \maxdepth=2.2pt \parindent=3pc
+\pagewidth=\hsize \pageheight=\vsize \ruleht=.5pt
+\abovedisplayskip=6pt plus 3pt minus 1pt
+\belowdisplayskip=6pt plus 3pt minus 1pt
+\abovedisplayshortskip=0pt plus 3pt
+\belowdisplayshortskip=4pt plus 3pt
+
+%\newinsert\footins
+\def\footnote#1{\edef\@sf{\spacefactor\the\spacefactor}#1\@sf
+ \insert\footins\bgroup\eightpoint
+ \interlinepenalty100 \let\par=\endgraf
+ \leftskip=\z@skip \rightskip=\z@skip
+ \splittopskip=10pt plus 1pt minus 1pt \floatingpenalty=20000
+ \smallskip\item{#1}\bgroup\strut\aftergroup\@foot\let\next}
+\skip\footins=12pt plus 2pt minus 4pt % space added when footnote is present
+%\count\footins=1000 % footnote magnification factor (1 to 1)
+\dimen\footins=30pc % maximum footnotes per page
+
+\newinsert\margin
+\dimen\margin=\maxdimen
+%\count\margin=0 \skip\margin=0pt % marginal inserts take up no space
+
+\newif\iftitle
+\def\titlepage{\global\titletrue} % for pages without headlines
+\def\rhead{} % \rhead contains the running headline
+
+\def\leftheadline{\hbox to \pagewidth{%
+ \vbox to 10pt{}% strut to position the baseline
+ \llap{\tenbf\folio\kern1pc}% folio to left of text
+ \tenit\rhead\hfil% running head flush left
+ }}
+\def\rightheadline{\hbox to \pagewidth{%
+ \vbox to 10pt{}% strut to position the baseline
+ \hfil\tenit\rhead\/% running head flush right
+ \rlap{\kern1pc\tenbf\folio}% folio to right of text
+ }}
+
+\def\onepageout#1{\shipout\vbox{ % here we define one page of output
+ \offinterlineskip % butt the boxes together
+ \vbox to 3pc{ % this part goes on top of the 44pc pages
+ \iftitle % the next is used for title pages
+ \global\titlefalse % reset the titlepage switch
+ \setcornerrules % for camera alignment
+ \else\ifodd\pageno \rightheadline\else\leftheadline\fi\fi
+ \vfill} % this completes the \vbox to 3pc
+ \vbox to \pageheight{
+ \ifvoid\margin\else % marginal info is present
+ \rlap{\kern31pc\vbox to\z@{\kern4pt\box\margin \vss}}\fi
+ #1 % now insert the main information
+ \ifvoid\footins\else % footnote info is present
+ \vskip\skip\footins \kern-3pt
+ \hrule height\ruleht width\pagewidth \kern-\ruleht \kern3pt
+ \unvbox\footins\fi
+ \boxmaxdepth=\maxdepth
+ } % this completes the \vbox to \pageheight
+ }
+ \advancepageno}
+
+\def\setcornerrules{\hbox to \pagewidth{\vrule width 1pc height\ruleht
+ \hfil \vrule width 1pc}
+ \hbox to \pagewidth{\llap{\sevenrm(page \folio)\kern1pc}%
+ \vrule height1pc width\ruleht depth\z@
+ \hfil \vrule width\ruleht depth\z@}}
+
+\output{\onepageout{\unvbox255}}
+
+\newbox\partialpage
+\def\begindoublecolumns{\begingroup
+ \output={\global\setbox\partialpage=\vbox{\unvbox255\bigskip}}\eject
+ \output={\doublecolumnout} \hsize=14pc \vsize=89pc}
+\def\enddoublecolumns{\output={\balancecolumns}\eject
+ \endgroup \pagegoal=\vsize}
+
+\def\doublecolumnout{\splittopskip=\topskip \splitmaxdepth=\maxdepth
+ \dimen@=44pc \advance\dimen@ by-\ht\partialpage
+ \setbox0=\vsplit255 to\dimen@ \setbox2=\vsplit255 to\dimen@
+ \onepageout\pagesofar
+ \unvbox255 \penalty\outputpenalty}
+\def\pagesofar{\unvbox\partialpage
+ \wd0=\hsize \wd2=\hsize \hbox to\pagewidth{\box0\hfil\box2}}
+\def\balancecolumns{\setbox0=\vbox{\unvbox255} \dimen@=\ht0
+ \advance\dimen@ by\topskip \advance\dimen@ by-\baselineskip
+ \divide\dimen@ by2 \splittopskip=\topskip
+ {\vbadness=10000 \loop \global\setbox3=\copy0
+ \global\setbox1=\vsplit3 to\dimen@
+ \ifdim\ht3>\dimen@ \global\advance\dimen@ by1pt \repeat}
+ \setbox0=\vbox to\dimen@{\unvbox1}
+ \setbox2=\vbox to\dimen@{\unvbox3}
+ \pagesofar}
+
+% Chapter formatting
+% The preface and table of contents are formatted in place, not here
+
+\newcount\exno % for the number of exercises in the current chapter
+\newcount\subsecno % for the number of subsections in the current chapter
+
+\outer\def\beginchapter#1 #2#3. #4\par{\global\exno=0
+ \subsecno=0
+ \def\chapno{#2#3}
+ \ifodd\pageno
+ \errmessage{You had too much text on that last page; I'm backing up}
+ \advance\pageno by-1 \fi
+ \titlepage
+ \def\\{ } % \\'s in the title will be treated as spaces
+ \message{#1 #2#3:} % show the chapter title on the terminal
+ \xdef\rhead{#1 #2#3: #4\unskip}
+ {\def\TeX{T\kern-.2em\lower.5ex\hbox{E}\kern-.06em X}
+ \def\MF{{\vbox to30pt{}\manual ()*+,-.*}}
+ \def\\{#3}
+ \ifx\empty\\ \rightline{\inchhigh #2\kern-.04em}
+ \else\rightline{\inchhigh #2\kern-.06em#3\kern-.04em}\fi
+ \vskip 1.75pc
+ \baselineskip 36pt \lineskiplimit 1pt \lineskip 12pt
+ \let\\=\cr % now the \\'s are line dividers
+ \halign{\line{\titlefont\hfil##}\\#4\unskip\\}
+ \vfill\eject} % output the chapter title page
+ \tenpoint
+ \noindent\ignorespaces} % the first paragraph of a chapter is not indented
+
+\outer\def\endchapter{\ifodd\pageno \else\vfill\eject\null\fi
+ \begingroup\bigskip\vfill % beginning of the quotes
+ \def\eject{\endgroup\eject}
+ \def\par{\ifhmode\/\endgraf\fi}\obeylines
+ \def\TeX{T\kern-.2em\lower.5ex\hbox{E}\kern-.000em X}
+ \def\MF{{\manual opqr}\-{\manual stuq}}
+ \eightpoint \let\tt=\ninett
+ \baselineskip 10pt
+ \parfillskip \z@
+ \interlinepenalty 10000
+ \leftskip \z@ plus 40pc minus \parindent
+ \let\rm=\eightss \let\sl=\eightssi
+ \everypar{\sl}}
+\def\author#1(#2){\smallskip\noindent\rm--- #1\unskip\enspace(#2)}
+
+\def\dbend{{\manual\char127}} % dangerous bend sign
+\def\d@nger{\medbreak\begingroup\clubpenalty=10000
+ \def\par{\endgraf\endgroup\medbreak} \noindent\hang\hangafter=-2
+ \hbox to0pt{\hskip-\hangindent\dbend\hfill}\ninepoint}
+\outer\def\danger{\d@nger}
+\def\dd@nger{\medbreak\begingroup\clubpenalty=10000
+ \def\par{\endgraf\endgroup\medbreak} \noindent\hang\hangafter=-2
+ \hbox to0pt{\hskip-\hangindent\dbend\kern1pt\dbend\hfill}\ninepoint}
+\outer\def\ddanger{\dd@nger}
+\def\enddanger{\endgraf\endgroup} % omits the \medbreak
+
+\outer\def\subsection#1. {\medbreak\advance\subsecno by 1
+ \noindent{\it \the\subsecno.\enspace#1.\enspace}}
+\def\ansno#1.#2:{\medbreak\noindent
+ \hbox to\parindent{\bf\hss#1.#2.\enspace}\ignorespaces}
+
+% Composition macros
+\hyphenation{man-u-script man-u-scripts ap-pen-dix}
+
+\def\AmSTeX{$\cal A\kern-.1667em\lower.5ex\hbox{$\cal M$}\kern-.125em
+ S$-\TeX}
+\def\bull{\vrule height .9ex width .8ex depth -.1ex } % square bullet
+\def\SS{{\it SS}} % scriptscript style
+\def\|{\leavevmode\hbox{\tt\char`\|}} % vertical line
+\def\dn{\leavevmode\hbox{\tt\char'14}} % downward arrow
+\def\up{\leavevmode\hbox{\tt\char'13}} % upward arrow
+\def\]{\leavevmode\hbox{\tt\char`\ }} % visible space
+
+\def\pt{\,{\rm pt}} % units of points, in math formulas
+\def\em{\,{\rm em}} % units of ems, in math formulas
+\def\<#1>{\leavevmode\hbox{$\langle$#1\/$\rangle$}} % syntactic quantity
+\def\oct#1{\hbox{\rm\'{}\kern-.2em\it#1\/\kern.05em}} % octal constant
+\def\hex#1{\hbox{\rm\H{}\tt#1}} % hexadecimal constant
+\def\cstok#1{\leavevmode\thinspace\hbox{\vrule\vtop{\vbox{\hrule\kern1pt
+ \hbox{\vphantom{\tt/}\thinspace{\tt#1}\thinspace}}
+ \kern1pt\hrule}\vrule}\thinspace} % control sequence token
+
+{\obeyspaces\gdef {\ }}
+\def\parbreak{\hfil\break\indent\strut}
+\def\stretch{\nobreak\hskip0pt plus2pt\relax}
+
+% macros for non-centered displays
+\outer\def\begindisplay{\obeylines\startdisplay}
+{\obeylines\gdef\startdisplay#1
+ {\catcode`\^^M=5$$#1\halign\bgroup\indent##\hfil&&\qquad##\hfil\cr}}
+\outer\def\enddisplay{\crcr\egroup$$}
+
+% (the following \begin...\end-type macros do not appear in Appendix E)
+% macros for demonstrating math constructions
+\outer\def\beginmathdemo{$$\advance\baselineskip by2pt
+ \halign\bgroup\indent\hbox to 160pt{##\hfil}&$##$\hfil\cr\noalign{\vskip-2pt}}
+\outer\def\begindisplaymathdemo {$$\advance\baselineskip by15pt
+ \halign\bgroup\indent\hbox to 160pt{##\hfil}&$\displaystyle{##}$\hfil\cr
+ \noalign{\vskip-15pt}}
+\outer\def\beginlongmathdemo{$$\advance\baselineskip by2pt
+ \halign\bgroup\indent\hbox to 210pt{##\hfil}&$##$\hfil\cr\noalign{\vskip-2pt}}
+\outer\def\beginlongdisplaymathdemo {$$\advance\baselineskip by15pt
+ \halign\bgroup\indent\hbox to 210pt{##\hfil}&$\displaystyle{##}$\hfil\cr
+ \noalign{\vskip-15pt}}
+\outer\def\endmathdemo{\egroup$$}
+
+% macros for font tables
+\def\oddline#1{\cr
+ \noalign{\nointerlineskip}
+ \multispan{19}\hrulefill&
+ \setbox0=\hbox{\lower 2.3pt\hbox{\hex{#1x}}}\smash{\box0}\cr
+ \noalign{\nointerlineskip}}
+\def\evenline{\cr\noalign{\hrule}}
+\def\chartstrut{\lower4.5pt\vbox to14pt{}}
+\def\beginchart#1{$$\postdisplaypenalty=-10000 \global\count@=0 #1
+ \halign to\hsize\bgroup
+ \chartstrut##\tabskip0pt plus10pt&
+ &\hfil##\hfil&\vrule##\cr
+ \lower6.5pt\null
+ &&&\oct0&&\oct1&&\oct2&&\oct3&&\oct4&&\oct5&&\oct6&&\oct7&\evenline}
+\def\endchart{\raise11.5pt\null&&&\hex 8&&\hex 9&&\hex A&&\hex B&
+ &\hex C&&\hex D&&\hex E&&\hex F&\cr\egroup$$}
+\def\:{\setbox0=\hbox{\char\count@}%
+ \ifdim\ht0>7.5pt\reposition
+ \else\ifdim\dp0>2.5pt\reposition\fi\fi
+ \box0\global\advance\count@ by1 }
+\def\reposition{\setbox0=\hbox{$\vcenter{\kern2pt\box0\kern2pt}$}}
+\def\normalchart{%
+ &\oct{00x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline0
+ &\oct{01x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline
+ &\oct{02x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline1
+ &\oct{03x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline
+ &\oct{04x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline2
+ &\oct{05x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline
+ &\oct{06x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline3
+ &\oct{07x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline
+ &\oct{10x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline4
+ &\oct{11x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline
+ &\oct{12x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline5
+ &\oct{13x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline
+ &\oct{14x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline6
+ &\oct{15x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline
+ &\oct{16x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\oddline7
+ &\oct{17x}&&\:&&\:&&\:&&\:&&\:&&\:&&\:&&\:&\evenline}
+
+% (now Appendix E resumes again)
+% macros for verbatim scanning
+\chardef\other=12
+\def\ttverbatim{\begingroup
+ \catcode`\\=\other
+ \catcode`\{=\other
+ \catcode`\}=\other
+ \catcode`\$=\other
+ \catcode`\&=\other
+ \catcode`\#=\other
+ \catcode`\%=\other
+ \catcode`\~=\other
+ \catcode`\_=\other
+ \catcode`\^=\other
+ \obeyspaces \obeylines \tt}
+
+\outer\def\begintt{$$\let\par=\endgraf \ttverbatim \parskip=\z@
+ \catcode`\|=0 \rightskip-5pc \ttfinish}
+{\catcode`\|=0 |catcode`|\=\other % | is temporary escape character
+ |obeylines % end of line is active
+ |gdef|ttfinish#1^^M#2\endtt{#1|vbox{#2}|endgroup$$}}
+
+\catcode`\|=\active
+{\obeylines \gdef|{\ttverbatim \spaceskip\ttglue \let^^M=\ \let|=\endgroup}}
+
+% macros for syntax rules (again, not in Appendix E)
+\def\[#1]{\silenttrue\xref|#1|\thinspace{\tt#1}\thinspace} % keyword in syntax
+\def\beginsyntax{\endgraf\nobreak\medskip
+ \begingroup \catcode`<=13 \catcode`[=13
+ \let\par=\endsyntaxline \obeylines}
+\def\endsyntaxline{\futurelet\next\syntaxswitch}
+\def\syntaxswitch{\ifx\next\<\let\next=\syntaxrule
+ \else\ifx\next\endsyntax\let\next=\endgroup
+ \else\let\next=\continuerule\fi\fi \next}
+\def\continuerule{\hfil\break\indent\qquad}
+\def\endsyntax{\medbreak\noindent}
+{\catcode`<=13 \catcode`[=13
+ \global\let<=\< \global\let[=\[
+ \gdef\syntaxrule<#1>{\endgraf\indent\silentfalse\xref\<#1>}}
+\def\is{\ $\longrightarrow$ }
+\def\alt{\ $\vert$ }
+
+% macros to demarcate lines quoted from TeX source files
+\def\beginlines{\par\begingroup\nobreak\medskip\parindent\z@ \obeylines
+ \hrule\kern1pt\nobreak \everypar{\strut}}
+\def\endlines{\kern1pt\hrule\endgroup\medbreak\noindent}
+\def\weakendlines{\kern1pt\hrule\endgroup\medskip\noindent}
+
+\outer\def\exercise{\medbreak
+ \global\advance\exno by 1
+ \noindent\llap{\manual\char'170\rm\kern.15em}% triangle in margin
+ {\ninebf EXERCISE \bf\chapno.\the\exno}\par\nobreak\noindent}
+\def\dexercise{\global\advance\exno by 1
+ \llap{\manual\char'170\rm\kern.15em}% triangle in indented space
+ {\eightbf EXERCISE \bf\chapno.\the\exno}\hfil\break}
+\outer\def\dangerexercise{\d@nger \dexercise}
+\outer\def\ddangerexercise{\dd@nger \dexercise}
+
+\newwrite\ans
+\immediate\openout\ans=answers % file for answers to exercises
+\outer\def\answer{\par\medbreak
+ \immediate\write\ans{}
+ \immediate\write\ans{\string\ansno\chapno.\the\exno:}
+ \copytoblankline}
+\def\copytoblankline{\begingroup\setupcopy\copyans}
+\def\setupcopy{\def\do##1{\catcode`##1=\other}\dospecials
+ \catcode`\|=\other \obeylines}
+{\obeylines \gdef\copyans#1
+ {\def\next{#1}%
+ \ifx\next\empty\let\next=\endgroup %
+ \else\immediate\write\ans{\next} \let\next=\copyans\fi\next}}
+
+% Editorial notes: some things to watch for.
+
+% f |\ and f ^|\ => insert \/ [e.g., if\/ |\hbox|...]
+% appendi => check for \null [e.g., Appendix~B\null.]
+% ly- => the hyphen is probably omittable
+% ''. and '', => transpose to .'' and ,''
+% dgement => dgment
+
+% Macros for drawing figures (not in Appendix E)
+\def\hidehrule#1#2{\kern-#1\hrule height#1 depth#2 \kern-#2 }
+\def\hidevrule#1#2{\kern-#1{\dimen0=#1
+ \advance\dimen0 by#2\vrule width\dimen0}\kern-#2 }
+% \makeblankbox puts rules at the edges of a blank box
+% whose dimensions are those of \box0 (assuming nonnegative wd,ht,dp)
+% #1 is rule thickness outside, #2 is rule thickness inside
+\def\makeblankbox#1#2{\hbox{\lower\dp0\vbox{\hidehrule{#1}{#2}%
+ \kern-#1% overlap the rules at the corners
+ \hbox to\wd0{\hidevrule{#1}{#2}%
+ \raise\ht0\vbox to #1{}% set the vrule height
+ \lower\dp0\vtop to #1{}% set the vrule depth
+ \hfil\hidevrule{#2}{#1}}%
+ \kern-#1\hidehrule{#2}{#1}}}}
+\def\maketypebox{\makeblankbox{0pt}{1pt}}
+\def\makelightbox{\makeblankbox{.2pt}{.2pt}}
+
+% \box\bigdot is a null box with a bullet at its reference point
+\newbox\bigdot \newbox\smalldot
+\setbox0=\hbox{$\vcenter{}$} % \ht0 is the axis height
+\setbox1=\hbox to\z@{$\hss\bullet\hss$} % bullet is centered on the axis
+\setbox\bigdot=\vbox to\z@{\kern-\ht1 \kern\ht0 \box1 \vss}
+\setbox1=\hbox to\z@{$\hss\cdot\hss$} % cdot is centered on the axis
+\setbox\smalldot=\vbox to\z@{\kern-\ht1 \kern\ht0 \box1 \vss}
+
+% \arrows makes things like <--- text --->
+\def\arrows#1#2{% #1=width, #2=text
+ {\setbox0=\hbox{$\mkern-2mu\mathord-\mkern-2mu$}
+ \hbox to #1{\kern-.055556em$\leftarrow\mkern-6mu$%
+ \cleaders\copy0\hfil
+ \kern.4em #2\kern.4em
+ \cleaders\copy0\hfil
+ $\mkern-6mu\rightarrow$\kern-.055556em}}}
+
+% \samplebox makes the outline of a box, with big dot at reference point
+\def\samplebox#1#2#3#4{% #1=ht, #2=dp, #3=wd, #4=text
+ {\setbox0=\vtop{\vbox to #1{\hbox to #3{}\vss}
+ \nointerlineskip
+ \vbox to #2{}}% now \box0 has the desired ht, dp, and wd
+ \hbox{\copy\bigdot
+ \vrule height.2pt depth.2pt width#3%
+ \kern-#3%
+ \makelightbox
+ \kern-#3%
+ \raise#1\vbox{\hbox to #3{\hss#4\hss}
+ \kern 3pt}}}}
+
+% \sampleglue makes glue between sample boxes
+\newdimen\varunit
+\varunit=\hsize \advance\varunit by-2\parindent
+\divide\varunit by 58 % illustrations in Chapter 12
+\def\sampleglue#1#2{% #1=width, #2=text
+ \vtop{\hbox to #1{\xleaders\hbox to .5\varunit{\hss\copy\smalldot\hss}\hfil}
+ \kern3pt
+ \tabskip \z@ plus 1fil
+ \halign to #1{\hfil##\cr#2\cr}}}
+
+% Indexing macros
+\newif\ifproofmode
+\proofmodetrue % this should be false when making camera-ready copy
+\newwrite\inx
+\immediate\openout\inx=index % file for index reminders
+\newif\ifsilent
+\def\specialhat{\ifmmode\def\next{^}\else\let\next=\beginxref\fi\next}
+\def\beginxref{\futurelet\next\beginxrefswitch}
+\def\beginxrefswitch{\ifx\next\specialhat\let\next=\silentxref
+ \else\silentfalse\let\next=\xref\fi \next}
+\catcode`\^=\active \let ^=\specialhat
+\def\silentxref^{\silenttrue\xref}
+
+\def\marginstyle{\vrule height6pt depth2pt width\z@ \sevenrm}
+
+\chardef\bslash=`\\
+\def\xref{\futurelet\next\xrefswitch}
+\def\xrefswitch{\begingroup
+ \ifx\next|\aftergroup\vxref % case 1 or 2, |arg| or |\arg|
+ \else\ifx\next\<\aftergroup\anglexref % case 3, "\<arg>" means angle brackets
+ \else\aftergroup\normalxref \fi\fi\endgroup} % case 0, "{arg}"
+\def\vxref|{\catcode`\\=\active \futurelet\next\vxrefswitch}
+\def\vxrefswitch#1|{\catcode`\\=0
+ \ifx\next\empty\def\xreftype{2}%
+ \def\next{{\tt\bslash\text}}% type 2, |\arg|
+ \else\def\xreftype{1}\def\next{{\tt\text}}\fi % type 1, |arg|
+ \edef\text{#1}\makexref}
+{\catcode`\|=0 \catcode`\\=\active |gdef\{}}
+\def\anglexref\<#1>{\def\xreftype{3}\def\text{#1}%
+ \def\next{\<\text>}\makexref}
+\def\normalxref#1{\def\xreftype{0}\def\text{#1}\let\next=\text\makexref}
+\def\makexref{\ifproofmode\insert\margin{\hbox{\marginstyle\text}}%
+ \xdef\writeit{\write\inx{\text\space!\xreftype\space
+ \noexpand\number\pageno.}}\writeit
+ \else\ifhmode\kern\z@\fi\fi
+ \ifsilent\ignorespaces\else\next\fi}
+% the \insert (which is done in proofmode only) suppresses hyphenation,
+% so the \kern\z@ is put in to give the same effect in non-proofmode.
+
+% Internal cross references that may change
+\def\sesame{61} % page number for Sesame Street quote
+\def\bmiexno{20} % exercise number for bold math italic
+\def\punishexno{1} % exercise number for `punishment'
+\def\fracexno{6} % exercise number for `\frac'
+\def\vshippage{31} % error message from `\vship'
+\def\storypage{24} % listing of story.tex
+
+\def\checkequals#1#2{\ifnum#1=#2\else
+ \errmessage{Redefine \string#1 to be \the#2}\fi}
+
+% Things for The METAFONTbook only
+\ifx\MFmanual\!\else\endinput\fi
+
+\def\!{\kern-.05em\relax}
+
+\outer\def\displayfig #1 (#2){$$\advance\abovedisplayskip by 3pt
+ \leftline{\indent\figbox{#1}{3in}{#2}\vbox}$$}
+\def\rightfig #1 (#2 x #3) ^#4 {% #2 wide and #3 deep, raised #4
+ \strut\vadjust{\setbox0=\vbox to 0pt{\vss
+ \hbox to\pagewidth{\hfil
+ \raise #4\figbox{#1}{#2}{#3}\vtop \quad}}
+ \dp0=0pt \box0}}
+\def\figbox#1#2#3#4{#4to#3{ % makes a box #2 wide and #3 deep
+ \ifproofmode\kern0pt\hrule\vfill
+ \hsize=#2 \baselineskip 6pt \fiverm\noindent\raggedright
+ (Figure #1 will be inserted here; too bad you can't see it now.)
+ \endgraf\vfill\hrule
+ \else\vfill\hbox to#2{}\fi}}
+
+\def\endsyntax{\begingroup\let\par=\endgraf\medbreak\endgroup\noindent}
+
+\def\decreasehsize #1 {\advance\hsize-#1}
+\def\restorehsize{\hsize=\pagewidth}
+
+\catcode`\@=\active
+\catcode`\"=\active
+\def\ttverbatim{\begingroup \catcode`\@=\other \catcode`\"=\other
+ \catcode`\\=\other
+ \catcode`\{=\other
+ \catcode`\}=\other
+ \catcode`\$=\other
+ \catcode`\&=\other
+ \catcode`\#=\other
+ \catcode`\%=\other
+ \catcode`\~=\other
+ \catcode`\_=\other
+ \catcode`\^=\other
+ \obeyspaces \obeylines \tt}
+\def\setupcopy{\def\do##1{\catcode`##1=\other}\dospecials
+ \catcode`\|=\other \catcode`\@=\other \catcode`\"=\other \obeylines}
+\def\_{\leavevmode \kern.06em \vbox{\hrule width.3em}}
+\def@#1@{\begingroup\def\_{\kern.04em
+ \vbox{\hrule width.3em height .6pt}\kern.08em}%
+ \ifmmode\mathop{\bf#1}\else\hbox{\bf#1\/}\fi\endgroup}
+\def"#1"{\hbox{\it#1\/\kern.05em}} % italic type for identifiers
+\def\xrefswitch{\begingroup
+ \ifx\next|\aftergroup\vxref % case 1, |arg| or |\arg|
+ \else\ifx\next@\aftergroup\boldxref % case 2, "@arg@" means boldface
+ \else\ifx\next"\aftergroup\italxref % case 4, ""arg"" means boldface
+ \else\ifx\next\<\aftergroup\anglexref % case 3, "\<arg>" means angle brackets
+ \else\aftergroup\normalxref \fi\fi\fi\fi\endgroup} % case 0, "{arg}"
+\def\boldxref@#1@{\def\xreftype{2}\def\text{#1}%
+ \def\next{@\text@}\makexref}
+\def\italxref"#1"{\def\xreftype{4}\def\text{#1}%
+ \def\next{"\text"}\makexref}
+
+\def\pyth+{\mathbin{++}}
+\def\0{\raise.7ex\hbox{$\scriptstyle\#$}}
+\def\to{\mathrel{\ldotp\ldotp}}
+\def\dashto{\mathrel{\hbox{-\thinspace-\kern-.05em}}}
+\def\ddashto{\mathrel{\hbox{-\thinspace-\thinspace-\kern-.05em}}}
+\def\round{\mathop{\rm round}}
+\def\angle{\mathop{\rm angle}}
+\def\reverse{\mathop{\rm reverse}}
+\def\curl{\mathop{\rm curl}}
+\def\tension{\mathop{\rm tension}}
+\def\controls{\mathop{\rm controls}}
+\def\and{\,{\rm and}\,}
+\def\cycle{{\rm cycle}}
+\def\pickup{@pickup@ \thinspace}
+\def\penpos#1{\hbox{\it penpos}_{#1}}
+\def\pentaper#1{\hbox{\it pentaper}_{#1}}
+
+\chardef\hexa=1 % first hex
+\chardef\hexb=2 % top and bot adjusted
+\chardef\hexc=3 % same, bold
+\chardef\hexd=4 % same, confined to box
+\chardef\hexe=5 % penstroked hex
+\chardef\Aa=6 % stick-figure A, golden ratio
+\def\sevenAs{\char7\char8\char9\char10\char11\char12\char13} % same, variants
+\chardef\Az=14 % same, with crooked bar
+\chardef\Ab=15 % \Aa with rectilinear elliptical pen
+\chardef\Ac=16 % same, with the ellipse tilted
+\chardef\beana=17 % kidney bean, default pen
+\chardef\beanb=18 % same, twice as bold
+\chardef\beanc=19 % same, rectilinear elliptical pen
+\chardef\beand=20 % same, with the ellipse tilted
+\chardef\niba=21 % 10x rectilinear ellipse
+\chardef\nibb=22 % same, with the ellipse tilted
+\chardef\nibc=23 % same, 90 degrees titled
+\chardef\IOT=24 % Ionian T
+\chardef\IOS=25 % Ionian S
+\chardef\IOO=26 % Ionian O
+\chardef\IOI=27 % Ionian I
+\chardef\cubea=28 % possible cube
+\chardef\cubeb=29 % impossible cube
+\chardef\bicentennial=30 % star with overlapping strokes
+\chardef\seventh='140 % 1/7, to go with cmssqi8
+
+\newdimen\apspix
+\apspix=31448sp % 8 APS pixels = 52413.64sp, and I'm taking 60% of this
+% to crude approximation, there are about 2\apspix per pt
+
+\def\leftheadline{\hbox to \pagewidth{%
+ \vbox to 10pt{}% strut to position the baseline
+ \llap{\tenbf\folio\kern1pc}% folio to left of text
+ \def\MF{{\manual 89:;<=>:}}% slanted 10pt
+ \tenit\rhead\hfil% running head flush left
+ }}
+\def\rightheadline{\hbox to \pagewidth{%
+ \vbox to 10pt{}% strut to position the baseline
+ \def\MF{{\manual 89:;<=>:}}% slanted 10pt
+ \hfil\tenit\rhead\/% running head flush right
+ \rlap{\kern1pc\tenbf\folio}% folio to right of text
+ }}
+\def\ttok#1{\leavevmode\thinspace\hbox{\vrule\vtop{\vbox{\hrule\kern1pt
+ \hbox{\vphantom{\tt(j}\thinspace{\tt#1}\thinspace}}
+ \kern1pt\hrule}\vrule}\thinspace} % token
+
+\newdimen\tinypix \setbox0=\hbox{\sixrm0} \tinypix=5pt
+\newdimen\pixcorr \pixcorr=\tinypix \advance\pixcorr by-\wd0
+\def\pixpat#1#2#3#4{\vcenter{\sixrm\baselineskip=\tinypix
+ \hbox{#1\kern\pixcorr#2}\hbox{#3\kern\pixcorr#4}}}