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% standard macros for CWEB listings (in addition to plain.tex)
% Version 4.9 --- June 2022
\ifx\renewenvironment\undefined\else\endinput\fi % LaTeX will use other macros
\xdef\fmtversion{\fmtversion+CWEB4.9}
\chardef\cwebversion=4 \chardef\cwebrevision=9
\input iftex.sty % TeX engine tests
\ifx\pdf+\pdftrue\fi % for plain TeX in combination with dvipdfm
% Uncomment the following line if you want PDF goodies to be the default
%\ifx\pdf-\else\pdftrue\fi
\def\pdflinkcolor{0 0 1} % the RGB values for hyperlink color
\ifxetex\pdftrue\fi % XeTeX produces PDF output
\ifpdftex % pdfTeX produces PDF output if \pdfoutput>0
  \def\Black{\pdfliteral{0 g 0 G}}  % use rgb colors for direct PDF output too
  \def\Blue{\pdfliteral{\pdflinkcolor\space rg \pdflinkcolor\space RG}}
\fi
\newif\ifacrohint \ifpdf\acrohinttrue\fi \ifhint\acrohinttrue\fi

\let\:=\. % preserve a way to get the dot accent
 % (all other accents will still work as usual)

\parskip 0pt % no stretch between paragraphs
\parindent 1em % for paragraphs and for the first line of C text

\font\ninerm=cmr9
\let\mc=\ninerm % medium caps
\def\CEE/{{\mc C\spacefactor1000}}
\def\UNIX/{{\mc U\kern-.05emNIX\spacefactor1000}}
\def\TEX/{\TeX}
\def\CPLUSPLUS/{{\mc C\PP\spacefactor1000}}
\def\Cee{\CEE/} % for backward compatibility
\def\Cpp{\CPLUSPLUS/} % for backward compatibility
\def\9#1{}
 % with this definition of \9 you can say @:sort key}{TeX code@>
 % to alphabetize an index entry by the sort key but format with the TeX code
\font\eightrm=cmr8
\let\sc=\eightrm % for smallish caps (NOT a caps-and-small-caps font)
\let\mainfont=\tenrm
\let\cmntfont\tenrm
%\font\tenss=cmss10 \let\cmntfont\tenss % alternative comment font
\font\titlefont=cmr7 scaled\magstep4 % title on the contents page
\font\ttitlefont=cmtt10 scaled\magstep2 % typewriter type in title
\font\tentex=cmtex10 % TeX extended character set (used in strings)
\fontdimen7\tentex=0pt % no double space after sentences

\def\\#1{\leavevmode\hbox{\it#1\/\kern.05em}} % italic type for identifiers
\def\|#1{\leavevmode\hbox{$#1$}} % one-letter identifiers look better this way
\def\&#1{\leavevmode\hbox{\bf
  \def\_{\kern.04em\vbox{\hrule width.3em height .6pt}\kern.08em}%
  #1\/\kern.05em}} % boldface type for reserved words
\def\.#1{\leavevmode\hbox{\tentex % typewriter type for strings
  \let\\=\BS % backslash in a string
  \let\{=\LB % left brace in a string
  \let\}=\RB % right brace in a string
  \let\~=\TL % tilde in a string
  \let\ =\SP % space in a string
  \let\_=\UL % underline in a string
  \let\&=\AM % ampersand in a string
  \let\^=\CF % circumflex in a string
  #1\kern.05em}}
\def\){{\tentex\kern-.05em}\discretionary{\hbox{\tentex\BS}}{}{}}
\def\AT{@} % at sign for control text (not needed in versions >= 2.9)
\def\ATL{\par\noindent\bgroup\catcode`\_=12 \postATL} % print @l in limbo
\def\postATL#1 #2 {\bf letter \\{\uppercase{\char"#1}}
   tangles as \tentex "#2"\egroup\par}
\def\noATL#1 #2 {}
\def\noatl{\let\ATL=\noATL} % suppress output from @l
\def\ATH{{\acrohintfalse\X\kern-.5em:Preprocessor definitions\X}}
\let\PB=\relax % hook for program brackets |...| in TeX part or section name

\chardef\AM=`\& % ampersand character in a string
\chardef\BS=`\\ % backslash in a string
\chardef\LB=`\{ % left brace in a string
\chardef\RB=`\} % right brace in a string
\def\SP{{\tt\char`\ }} % (visible) space in a string
\chardef\TL=`\~ % tilde in a string
\chardef\UL=`\_ % underline character in a string
\chardef\CF=`\^ % circumflex character in a string

\newbox\PPbox % symbol for ++
\setbox\PPbox=\hbox{\kern.5pt\raise1pt\hbox{\sevenrm+\kern-1pt+}\kern.5pt}
\def\PP{\copy\PPbox}
\newbox\MMbox \setbox\MMbox=\hbox{\kern.5pt\raise1pt\hbox{\sevensy\char0
 \kern-1pt\char0}\kern.5pt}
\def\MM{\copy\MMbox}
\newbox\MGbox % symbol for ->
\setbox\MGbox=\hbox{\kern-2pt\lower3pt\hbox{\teni\char'176}\kern1pt}
\def\MG{\copy\MGbox}
\def\MRL#1{\mathrel{\let\K==#1}}
%\def\MRL#1{\KK#1}\def\KK#1#2{\buildrel\;#1\over{#2}}
\let\GG=\gg
\let\LL=\ll
\let\NULL=\Lambda
\mathchardef\AND="2026 % bitwise and; also \& (unary operator)
\let\OR=\mid % bitwise or
\let\XOR=\oplus % bitwise exclusive or
\def\CM{{\sim}} % bitwise complement
\newbox\MODbox \setbox\MODbox=\hbox{\eightrm\%}
\def\MOD{\mathbin{\copy\MODbox}}
\def\DC{\kern.1em{::}\kern.1em} % symbol for ::
\def\PA{\mathbin{.*}} % symbol for .*
\def\MGA{\mathbin{\MG*}} % symbol for ->*
\def\this{\&{this}}

\newbox\bak \setbox\bak=\hbox to -1em{} % backspace one em
\newbox\bakk\setbox\bakk=\hbox to -2em{} % backspace two ems

\newcount\ind % current indentation in ems
\def\1{\global\advance\ind by1\hangindent\ind em} % indent one more notch
\def\2{\global\advance\ind by-1} % indent one less notch
\def\3#1{\hfil\penalty#10\hfilneg} % optional break within a statement
\def\4{\copy\bak} % backspace one notch
\def\5{\hfil\penalty-1\hfilneg\kern2.5em\copy\bakk\ignorespaces}% optional break
\def\6{\ifmmode\else\par % forced break
  \hangindent\ind em\noindent\kern\ind em\copy\bakk\ignorespaces\fi}
\def\7{\Y\6} % forced break and a little extra space
\def\8{\hskip-\ind em\hskip 2em} % no indentation

\newcount\gdepth % depth of current major group, plus one
\newcount\secpagedepth
\secpagedepth=3 % page breaks will occur for depths -1, 0, and 1
\newtoks\gtitle % title of current major group
\newskip\intersecskip \intersecskip=12pt minus 3pt % space between sections
\let\yskip=\smallskip
\def\?{\mathrel?}
\def\,{\relax\ifmmode\mskip\thinmuskip\else\thinspace\fi}
\def\note#1#2.{\Y\noindent{\hangindent2em%
    \baselineskip10pt\eightrm#1~\ifacrohint{\pdfnote#2.}\else#2\fi.\par}}

\newtoks\toksA \newtoks\toksB \newtoks\toksC \newtoks\toksD
\newtoks\toksE \newtoks\toksF \newtoks\usersanitizer
\newcount\countA \countA=0 \newcount\countB \countB=0
\newcount\countC \countC=0 \newcount\countD \countD=0
\newif\iftokprocessed \newif\ifTnum \newif\ifinstr
{\def\\{\global\let\spacechar= }\\ }

\ifpdf % The following are pdf macros
\def\thewidth{\the\wd0 \space}
\def\theheight{\the\ht\strutbox\space}
\def\thedepth{\the\dp\strutbox\space}
\ifpdftex
  \ifx\pdfannotlink\undefined\let\pdfannotlink\pdfstartlink\fi% for pdfTeX 0.14
  \def\pdflink#1#2{\hbox{\pdfannotlink height \theheight depth \thedepth
    attr{/Border [0 0 0]} goto num #1 \Blue #1\Black\pdfendlink}} % changed 3.69
\else\def\pdflink#1#2{\setbox0=\hbox{\special{pdf: bc [ \pdflinkcolor ]}{#1}%
    \special{pdf: ec}}\special{pdf: ann width \thewidth height \theheight
      depth \thedepth << /Type /Annot /Subtype /Link
      /Border [0 0 0] /A << /S /GoTo /D (#2) >> >>}\box0\relax}\fi
\def\sanitizecommand#1#2{\addtokens\usersanitizer
       {\noexpand\dosanitizecommand\noexpand#1{#2}}}
\def\dosanitizecommand#1#2{\ifx\nxt#1\addF{#2}\fi}

\catcode`\[=1 \catcode`\]=2 \catcode`\{=12 \catcode`\}=12
  \def\lbchar[{]  \def\rbchar[}]
\catcode`\[=12 \catcode`\]=12 \catcode`\{=1 \catcode`\}=2
\catcode`\~=12 \def\tildechar{~}  \catcode`\~=13
\catcode`\|=0 |catcode`|\=12 |def|bschar{\} |catcode`|\=0 \catcode`\|=12
\def\makeoutlinetoks{\Tnumfalse\afterassignment\makeolproctok\let\nxt= }
\def\makeolnexttok{\afterassignment\makeolproctok\let\nxt= }
\def\makeolgobbletok{\afterassignment\makeolnexttok\let\nxt= }
\def\addF#1{\addtokens\toksF{#1}\tokprocessedtrue}
% now comes a routine to "sanitize" section names, for pdf outlines
\def\makeolproctok{\tokprocessedfalse
  \let\next\makeolnexttok % default
  \ifx\nxt\outlinedone\let\next\outlinedone
  \else\ifx{\nxt \else\ifx}\nxt \Tnumfalse \instrfalse % skip braces
  \else\ifx$\nxt % or a $ sign
  \else\ifx^\nxt \addF^\else\ifx_\nxt \addF_% sanitize ^ and _
  \else\ifx\nxt\spacechar \addF\space
  \else\if\noexpand\nxt\relax % we have a control sequence; is it one we know?
    \ifx\nxt~\addF\space
    \else\ifx\nxt\onespace\addF\space
    \else\the\usersanitizer
    \iftokprocessed\else\makeolproctokctli
    \iftokprocessed\else\makeolproctokctlii
    \iftokprocessed\else\makeolproctokctliii % if not recognised, skip it
    \fi\fi\fi\fi\fi
   \else  % we don't have a control sequence, it's an ordinary char
    \ifx/\nxt \addF{\string\/}% quote chars special to PDF with backslash
    \else\ifx(\nxt \addF{\string\(}\else\ifx)\nxt \addF{\string\)}%
    \else\ifx[\nxt \addF{\string\[}\else\ifx]\nxt \addF{\string\]}%
    \else\expandafter\makeolproctokchar\meaning\nxt
   \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
  \next
}
\def\makeolproctokchar#1 #2 #3{\addF{#3}}
\def\makeolproctokctli{%
  \ifx\nxt\CEE\addF{C}\let\next\makeolgobbletok % \CEE/
  \else\ifx\nxt\UNIX\addF{UNIX}\let\next\makeolgobbletok % \UNIX/
  \else\ifx\nxt\TEX\addF{TeX}\let\next\makeolgobbletok % \TEX/
  \else\ifx\nxt\TeX\addF{TeX}\else\ifx\nxt\LaTeX\addF{LaTeX}%
  \else\ifx\nxt\CPLUSPLUS\addF{C++}\let\next\makeolgobbletok % \CPLUSPLUS/
  \else\ifx\nxt\Cee\addF{C}%
  \else\ifx\nxt\PB \let\next\makeolgobbletok \tokprocessedtrue % \PB{...}
  \else\ifx\nxt\.\tokprocessedtrue\instrtrue % \.{...}
      % skip \|
  \else\ifx\nxt\\\ifinstr\addF{\bschar\bschar}\else\tokprocessedtrue\fi
  \else\ifx\nxt\&\ifinstr\addF&\else\tokprocessedtrue\fi
  \else\ifx\nxt\~\ifTnum\addF{0}\else\addF\tildechar\fi % 077->\T{\~77}
  \else\ifx\nxt\_\ifTnum\addF{E}\else\addF_\fi  % 0.1E5->\T{0.1\_5}
  \else\ifx\nxt\^\ifTnum\addF{0x}\else\addF^\fi  % 0x77 -> \T{\^77}
  \else\ifx\nxt\\\\\ifTnum\addF{0b}\else\addF\\\fi  % 0b10111 -> \T{\\10111}
  \else\ifx\nxt\$\ifTnum\tokprocessedtrue\else\addF$\fi %$% \T{77\$L}
  \else\ifx\nxt\{\addF\lbchar       \else\ifx\nxt\}\addF\rbchar
  \else\ifx\nxt\ \addF\space        \else\ifx\nxt\#\addF{\string\#}%
  \else\ifx\nxt\PP\addF{++}\else\ifx\nxt\MM\addF{--}%
  \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
}
\def\makeolproctokctlii{%
  \ifx\nxt\MG\addF{->}\else\ifx\nxt\GG\addF{>>}%
  \else\ifx\nxt\LL\addF{<<}\else\ifx\nxt\NULL\addF{NULL}%
  \else\ifx\nxt\AND\addF&\else\ifx\nxt\OR\addF|%
  \else\ifx\nxt\XOR\addF^\else\ifx\nxt\CM\addF\tildechar
  \else\ifx\nxt\MOD\addF{\string\%}\else\ifx\nxt\DC\addF{::}%
  \else\ifx\nxt\PA\addF{.*}\else\ifx\nxt\MGA\addF{->*}%
  \else\ifx\nxt\this\addF{this}\else\ifx\nxt\?\addF?%
  \else\ifx\nxt\E\addF{==}\else\ifx\nxt\G\addF{>=}%
  \else\ifx\nxt\I\addF{!=}\else\ifx\nxt\K\addF{=}%
  \else\ifx\nxt\l\addF{l}\else\ifx\nxt\L\addF{L}%
  \else\ifx\nxt\o\addF{o}\else\ifx\nxt\O\addF{O}%
  \else\ifx\nxt\R\addF!%
  \else\ifx\nxt\T \Tnumtrue \let\next\makeolgobbletok
    \tokprocessedtrue % \T{number}
  \else\ifx\nxt\AM\addF&\else\ifx\nxt\%\addF{\string\%}%
  \fi\fi\fi\fi\fi \fi\fi\fi\fi\fi
  \fi\fi\fi\fi\fi \fi\fi\fi\fi\fi
  \fi\fi\fi\fi\fi\fi
}
\def\makeolproctokctliii{%
  \ifx\nxt\V\addF{||}\else\ifx\nxt\W\addF{&&}\else\ifx\nxt\Z\addF{<=}%
  \else\ifx\nxt\*\addF*\else\ifx\nxt\Xand\addF{\space and\space}%
  \else\ifx\nxt\Xandxeq\addF{\space and_eq\space}%
  \else\ifx\nxt\Xbitand\addF{\space bitand\space}%
  \else\ifx\nxt\Xbitor\addF{\space bitor\space}%
  \else\ifx\nxt\Xcompl\addF{\space compl\space}%
  \else\ifx\nxt\Xnot\addF{\space not\space}%
  \else\ifx\nxt\Xnotxeq\addF{\space not_eq\space}%
  \else\ifx\nxt\Xor\addF{\space or\space}%
  \else\ifx\nxt\Xorxeq\addF{\space or_eq\space}%
  \else\ifx\nxt\Xxor\addF{\space xor\space}%
  \else\ifx\nxt\Xxorxeq\addF{\space xor_eq\space}%
  \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
  \fi\fi\fi\fi\fi
}
\def\outlinedone{\edef\outlinest{\global\noexpand\toksE={\the\toksF}}%
  \outlinest\let\outlinedone=\relax}
\fi % End of pdf macros

\ifhint
% The following uses HINT primitives to implement:
% \HINThome to mark the position of the home page
% \HINTlabel to attach a label to the top of a section
% \HINTlink to link a section number to the section label
% \HINTcontents to produce an 'outline' item
% These are the top level HINT macros that are used in this file
% No HINT primitives are used directly.
\def\HINThome{\HINTdest name {HINT.home}%
  \HINToutline goto name {HINT.home} depth 1 {Table of Contents}}
\def\HINTlabel{{\let\*=\empty\HINTdest num \secstar top}}
\def\HINTlink#1#2{\HINTstartlink goto num #1 {#1}\HINTendlink}% #2 not used ???
\def\HINTcontents#1#2#3{\HINToutline goto num #3 depth #2 {#1}}
\let\pdflink=\HINTlink
\fi % End of HINT macros

% Common macros for \ifpdf and \ifhint
\ifacrohint
\def\pdfnote#1.{\setbox0=\hbox{\toksA={#1.}\toksB={}\maketoks}\the\toksA}
\def\firstsecno#1.{\setbox0=\hbox{\toksA={#1.}\toksB={}%
    \def\makenote{\addtokens\toksB{\the\toksC}\def\makenote{\toksD={}
      \toksC={}\let\space\empty}\makenote}\maketoks}}
\def\addtokens#1#2{\edef\addtoks{\noexpand#1={\the#1#2}}\addtoks}
\def\poptoks#1#2|ENDTOKS|{\let\first=#1\toksD={#1}%
  \ifcat\noexpand\first0\countB=`#1\else\countB=0\fi\toksA={#2}}
\def\maketoks{\expandafter\poptoks\the\toksA|ENDTOKS|%
  \ifnum\countB>`9 \countB=0 \fi
  \ifnum\countB<`0
    \ifnum0=\countC\else\makenote\fi
    \ifx\first.\let\next=\maketoksdone\else
        \let\next=\maketoks
        \addtokens\toksB{\the\toksD}
        \ifx\first,\addtokens\toksB{\space}\fi
    \fi
  \else \addtokens\toksC{\the\toksD}\global\countC=1\let\next=\maketoks
  \fi
  \next
}
\def\makenote{\addtokens\toksB
    {\noexpand\pdflink{\the\toksC}{\romannumeral\the\toksC}}\toksC={}\global\countC=0}
\def\maketoksdone{\edef\st{\global\noexpand\toksA={\the\toksB}}\st}
\fi % End of common macros

\def\pdfURL#1#2{\ifpdf \ifpdftex\pdfannotlink height \theheight depth \thedepth
    attr {/Border [0 0 0]} user { /Type /Annot /Subtype /Link /A
      << /S /URI /URI (#2) >>}\Blue #1\Black \pdfendlink % changed in 3.69
  \else {\setbox0=\hbox{\special{pdf: bc [ \pdflinkcolor ]}{#1}%
    \special{pdf: ec}}\special{pdf: ann width \thewidth height \theheight
      depth \thedepth << /Border [0 0 0] /Type /Annot /Subtype /Link /A
      << /S /URI /URI (#2) >> >>}\box0\relax}\fi
  \else #1 ({\tt#2})\fi}
{\catcode`\~=12 \gdef\TILDE/{~}} % ~ in a URL
{\catcode`\_=12 \gdef\UNDER/{_}} % _ in a URL

\def\lapstar{\rlap{*}}
\def\stsec{\rightskip=0pt % get out of C mode (cf. \B)
  \sfcode`;=1500 \pretolerance 200 \hyphenpenalty 50 \exhyphenpenalty 50
  \ifhint\HINTlabel\fi% Start page before section
  \noindent{\let\*=\lapstar\bf\secstar.\quad}%
  \ifpdf \smash{\raise\baselineskip\hbox to0pt{\let\*=\empty
    \ifpdftex \pdfdest num \secstar fith%
    \else \special{pdf: dest (\romannumeral\secstar)
      [ @thispage /FitH @ypos ]}\fi}}\fi}
\let\startsection=\stsec
\def\defin#1{\global\advance\ind by 2 \1\&{#1 }} % begin `define' or `format'
\def\A{\note{See also section}} % xref for doubly defined section name
\def\As{\note{See also sections}} % xref for multiply defined section name
\def\B{\rightskip=0pt plus 100pt minus 10pt % go into C mode
  \sfcode`;=3000
  \pretolerance 10000
  \hyphenpenalty 1000 % so strings can be broken (discretionary \ is inserted)
  \exhyphenpenalty 10000
  \global\ind=2 \1\ \unskip}
\def\C#1{\5\5\quad$/\ast\,${\cmntfont #1}$\,\ast/$}
\let\SHC\C % "// short comments" treated like "/* ordinary comments */"
%\def\C#1{\5\5\quad$\triangleright\,${\cmntfont#1}$\,\triangleleft$}
%\def\SHC#1{\5\5\quad$\diamond\,${\cmntfont#1}}
\def\D{\defin{{\rm\#}define}} % macro definition
\let\E=\equiv % equivalence sign
\def\ET{ and~} % conjunction between two section numbers
\def\ETs{, and~} % conjunction between the last two of several section numbers
\def\F{\defin{format}} % format definition
\let\G=\ge % greater than or equal sign
% \H is long Hungarian umlaut accent
\let\I=\ne % unequal sign
\def\J{\.{@\&}} % CTANGLE's join operation
\let\K== % assignment operator
%\let\K=\leftarrow % "honest" alternative to standard assignment operator
% \L is Polish letter suppressed-L
\outer\def\M#1{\MN{#1}\ifon\vfil\penalty-100\vfilneg % beginning of section
  \vskip\intersecskip\startsection\ignorespaces}
\outer\def\N#1#2#3.{% beginning of starred section
  \ifpdf{\toksF={}\makeoutlinetoks#3\outlinedone\outlinedone}\fi
  \gdepth=#1\gtitle={#3}\MN{#2}%
  \ifon\ifnum#1<\secpagedepth \vfil\eject % force page break if depth is small
    \else\vfil\penalty-100\vfilneg\vskip\intersecskip\fi\fi
  \message{*\secno} % progress report
  \def\stripprefix##1>{}\def\gtitletoks{#3}%
  \edef\gtitletoks{\expandafter\stripprefix\meaning\gtitletoks}%
  \edef\next{\write\cont{\ZZ{\gtitletoks}{#1}{\secno}% write to contents file
   {\noexpand\the\pageno}{\the\toksE}}}\next % \ZZ{title}{depth}{sec}{page}{ss}
  \ifpdf \ifpdftex\expandafter\xdef\csname curr#1\endcsname{\secno}
    \ifnum#1>0\countB=#1 \advance\countB by-1
      \advancenumber{chunk\the\countB.\expnumber{curr\the\countB}}\fi
  \else \special{pdf: outline #1 << /Title (\the\toksE) /Dest
    [ @thispage /FitH @ypos ] >>}\fi \fi
  \ifon\startsection{\bf#3.\quad}\ignorespaces}
\def\MN#1{\par % common code for \M, \N
  {\xdef\secstar{#1}\let\*=\empty\xdef\secno{#1}}% remove \* from section name
  \ifx\secno\secstar \onmaybe \else\ontrue \fi
  \mark{{{\tensy x}\secno}{\the\gdepth}{\the\gtitle}}}
% each \mark is {section reference or null}{depth plus 1}{group title}
% \O is Scandinavian letter O-with-slash
% \P is paragraph sign
\def\Q{\note{This code is cited in section}} % xref for mention of a section
\def\Qs{\note{This code is cited in sections}} % xref for mentions of a section
\let\R=\lnot % logical not
% \S is section sign
\def\T#1{\leavevmode % octal, hex or decimal constant
  \hbox{$\def\?{\kern.2em}%$%
    \let\ \, % C++ digit separator becomes a little white space
%    \def\$##1{\egroup_{\,\rm##1}\bgroup}% suffix to constant % versions < 3.67
    \def\$##1{\egroup_{\rm##1}\bgroup}% suffix to constant % in version 3.67
    \def\_{\cdot 10^{\aftergroup}}% power of ten (via dirty trick)
    \let\~=\oct \let\^=\hex \let\\=\bin {#1}$}}%$%
\def\U{\note{This code is used in section}} % xref for use of a section
\def\Us{\note{This code is used in sections}} % xref for uses of a section
\let\V=\lor % logical or
\let\W=\land % logical and
\def\X#1:#2\X{\ifmmode\gdef\XX{\null$\null}\else\gdef\XX{}\fi %$% section name
  \XX$\langle\,${\let\I=\ne#2\eightrm\kern.5em
    \ifacrohint{\pdfnote#1.}\else#1\fi}$\,\rangle$\XX}
\def\Y{\par\yskip}
\let\Z=\le
\let\ZZ=\let % now you can \write the control sequence \ZZ
\let\*=*

\def\Xand{\W} \def\Xandxeq{\MRL{{\AND}{\K}}} \def\Xbitand{\AND}
\def\Xbitor{\OR} \def\Xcompl{\CM} \def\Xnot{\R} \def\Xnotxeq{\I} \def\Xor{\V}
\def\Xorxeq{\MRL{{\OR}{\K}}} \def\Xxor{\XOR} \def\Xxorxeq{\MRL{{\XOR}{\K}}}

%\def\oct{\hbox{\rm\char'23\kern-.2em\it\aftergroup\?\aftergroup}} % WEB style
%\def\hex{\hbox{\rm\char"7D\tt\aftergroup}} % WEB style
\def\oct{\hbox{$^\circ$\kern-.1em\it\aftergroup\?\aftergroup}} % CWEB style
\def\hex{\hbox{$^{\scriptscriptstyle\#}$\tt\aftergroup}} % CWEB style
\def\bin{\hbox{$^{\scriptscriptstyle b}$\tt\aftergroup}} % new in CWEB 4.3
\def\vb#1{\leavevmode\hbox{\kern2pt\vrule\vtop{\vbox{\hrule
        \hbox{\strut\kern2pt\.{#1}\kern2pt}}
      \hrule}\vrule\kern2pt}} % verbatim string
\def\p#1{\cdot 2^{#1}} % power of two (hex exponent)

\def\onmaybe{\let\ifon=\maybe} \let\maybe=\iftrue
\newif\ifon \newif\iftitle \newif\ifpagesaved

\newif\ifheader
\def\lheader{\headertrue\mainfont\the\pageno\eightrm\qquad\grouptitle
  \hfill\title\qquad\mainfont\topsecno} % top line on left-hand pages
\def\rheader{\headertrue\mainfont\topsecno\eightrm\qquad\title\hfill
  \grouptitle\qquad\mainfont\the\pageno} % top line on right-hand pages
\def\grouptitle{\let\i=I\let\j=J\uppercase\expandafter{\expandafter
                        \takethree\topmark}}
\def\topsecno{\expandafter\takeone\topmark}
\def\takeone#1#2#3{#1}
\def\taketwo#1#2#3{#2}
\def\takethree#1#2#3{#3}
\def\nullsec{\eightrm\kern-2em} % the \kern-2em cancels \qquad in headers

\let\page=\pagebody \raggedbottom
% \def\page{\box255 }\normalbottom % faster, but loses plain TeX footnotes
\def\normaloutput#1#2#3{\ifodd\pageno\hoffset=\pageshift\fi
 \shipout\vbox{
  \vbox to\fullpageheight{
  \iftitle\global\titlefalse
  \else\hbox to\pagewidth{\vbox to10pt{}\ifodd\pageno #3\else#2\fi}\fi
  \vfill#1}} % parameter #1 is the page itself
  \global\advance\pageno by1}

\gtitle={\.{CWEB} output} % this running head is reset by starred sections
\mark{\noexpand\nullsec0{\the\gtitle}}
\def\title{\expandafter\uppercase\expandafter{\jobname}}
\def\topofcontents{\centerline{\titlefont\title}\vskip.7in
  \vfill} % this material will start the table of contents page
\def\startpdf{\ifpdf \ifpdftex\pdfcatalog{/PageMode /UseOutlines}
  \else {\special{pdf: docview << /PageMode /UseOutlines >>}}\fi\fi}
\def\botofcontents{\vfill
  \centerline{\covernote}} % this material will end the table of contents page
\def\covernote{}
\def\contentspagenumber{0} % default page number for table of contents
\newdimen\pagewidth \pagewidth=6.5in % the width of each page
\newdimen\pageheight \pageheight=8.7in % the height of each page
\newdimen\fullpageheight \fullpageheight=9in % page height including headlines
\newdimen\pageshift \pageshift=\hoffset
   % shift righthand pages wrt lefthand ones (changed in version 3.70)
\def\magnify#1{\mag=#1\pagewidth=6.5truein\pageheight=8.7truein
  \fullpageheight=9truein\setpage}
\def\setpage{\hsize\pagewidth\vsize\pageheight} % use after changing page size
\def\contentsfile{\jobname.toc} % file that gets table of contents info
\def\readcontents{\input \contentsfile}
\def\readindex{\input \jobname.idx}
\def\readsections{\input \jobname.scn}

\newwrite\cont
\output{\setbox0=\page % the first page is garbage
  \openout\cont=\contentsfile
       \write\cont{\catcode `\noexpand\@=11\relax}   % \makeatletter
  \global\output{\normaloutput\page\lheader\rheader}}
\setpage
\vbox to \vsize{} % the first \topmark won't be null

\def\ch{\note{The following sections were changed by the change file:}
  \let\*=\relax}
\newbox\sbox % saved box preceding the index
\newbox\lbox % lefthand column in the index
\def\inx{\par\vskip6pt plus 1fil % we are beginning the index
  \def\page{\box255 } \normalbottom
  \write\cont{} % ensure that the contents file isn't empty
       \write\cont{\catcode `\noexpand\@=12\relax}   % \makeatother
  \closeout\cont % the contents information has been fully gathered
  \output{\ifpagesaved\normaloutput{\box\sbox}\lheader\rheader\fi
    \global\setbox\sbox=\page \global\pagesavedtrue \mark{\topmark}}
  \pagesavedfalse \eject % eject the page-so-far and predecessors
  \setbox\sbox\vbox{\unvbox\sbox} % take it out of its box
  \vsize=\pageheight \advance\vsize by -\ht\sbox % the remaining height
  \hsize=.5\pagewidth \advance\hsize by -10pt
    % column width for the index (20pt between cols)
  \ifhint\else
  \parfillskip 0pt plus .6\hsize % try to avoid almost empty lines
  \fi
  \def\lr{L} % this tells whether the left or right column is next
  \output{\if L\lr\global\setbox\lbox=\page \gdef\lr{R}
    \else\normaloutput{\vbox to\pageheight{\box\sbox\vss
        \hbox to\pagewidth{\box\lbox\hfil\page}}}\lheader\rheader
    \global\vsize\pageheight\gdef\lr{L}\global\pagesavedfalse\fi}
  \message{Index:}
  \parskip 0pt plus .5pt
  \outer\def\I##1, ##2.{\par\hangindent2em\noindent##1:\kern1em
    \ifacrohint\pdfnote##2.\else##2\fi.} % index entry
  \def\[##1]{$\underline{##1}$} % underlined index item
  \rm \rightskip0pt plus 2.5em \tolerance 10000 \let\*=\lapstar
  \hyphenpenalty 10000 \parindent0pt
  \readindex}
\def\fin{\par\vfill\eject % this is done when we are ending the index
  \ifpagesaved\null\vfill\eject\fi % output a null index column
  \if L\lr\else\null\vfill\eject\fi % finish the current page
  \ifpdf \ifpdftex \makebookmarks % added in Version 3.68
    \countsections \fi\fi % and in Version 4.9
  \parfillskip 0pt plus 1fil
  \def\grouptitle{NAMES OF THE SECTIONS}
  \let\topsecno=\nullsec
  \message{Section names:}
  \output={\normaloutput\page\lheader\rheader}
  \setpage
  \def\note##1##2.{\quad{\eightrm##1~\ifacrohint{\pdfnote##2.}\else{##2}\fi.}}
  \def\Q{\note{Cited in section}} % crossref for mention of a section
  \def\Qs{\note{Cited in sections}} % crossref for mentions of a section
  \def\U{\note{Used in section}} % crossref for use of a section
  \def\Us{\note{Used in sections}} % crossref for uses of a section
  \def\I{\par\hangindent 2em}\let\*=*
  \ifpdf \def\outsecname{Names of the sections} \let\Xpdf\X
%  \ifpdftex \makebookmarks \pdfdest name {NOS} fitb % in versions < 3.68
  \ifpdftex \pdfdest name {NOS} fith % changed in version 3.69
    \pdfoutline goto name {NOS} count -\the\countD {\outsecname}
    \def\X##1:##2\X{\Xpdf##1:##2\X \firstsecno##1.%
      {\toksF={}\makeoutlinetoks##2\outlinedone\outlinedone}%
      \pdfoutline goto num \the\toksA \expandafter{\the\toksE}}
  \else \special{pdf: outline -1 << /Title (\outsecname)
      /Dest [ @thispage /FitH @ypos ] >>}
    \def\X##1:##2\X{\Xpdf##1:##2\X \firstsecno##1.%
      {\toksF={}\makeoutlinetoks##2\outlinedone\outlinedone}%
      \special{pdf: outline 0 << /Title (\the\toksE)
        /A << /S /GoTo /D (\romannumeral\the\toksA) >> >>}}
  \fi\fi
  \readsections}
\def\makebookmarks{\let\ZZ=\writebookmarkline \readcontents\relax}
\def\countsections{\message{Number of named sections:}
  {\def\I{\global\advance\countD by 1}\def\X##1\X{\relax}
  \def\Q##1.{\relax}\def\Qs##1.{\relax}\def\U##1.{\relax}\def\Us##1.{\relax}
  \readsections\relax}\message{\the\countD}}
\def\expnumber#1{\expandafter\ifx\csname#1\endcsname\relax 0%
  \else \csname#1\endcsname \fi} % Petr Olsak's macros from texinfo.tex
\def\advancenumber#1{\countA=\expnumber{#1}\relax \advance\countA by1
  \expandafter\xdef\csname#1\endcsname{\the\countA}}
\def\writebookmarkline#1#2#3#4#5{{%
  \let\(=\let \let\)=\let \let\[=\let \let\]=\let \let\/=\let
  \pdfoutline goto num #3 count -\expnumber{chunk#2.#3} {#5}}}
\def\con{\par\vfill\eject % finish the section names
% \ifodd\pageno\else\titletrue\null\vfill\eject\fi % for duplex printers
  \rightskip 0pt \hyphenpenalty 50 \tolerance 200
  \setpage \output={\normaloutput\page\lheader\rheader}
  \titletrue % prepare to output the table of contents
  \pageno=\contentspagenumber
  \def\grouptitle{TABLE OF CONTENTS}
  \message{Table of contents:}
  \ifhint\HINThome\fi% Mark the Table of contents as home page
  \topofcontents \startpdf
  \line{\hfil Section\ifhint\else\hbox to3em{\hss Page}\fi}% No Page in HINT
  \let\ZZ=\contentsline
  \readcontents\relax % read the contents info
  \botofcontents \end} % print the contents page(s) and terminate
\def\contentsline#1#2#3#4#5{\ifnum#2=0 \smallbreak\fi
    \line{\consetup{#2}#1
      \rm\leaders\hbox to .5em{.\hfil}\hfil
      \ \ifhint
          \HINTlink{#3}{\romannumeral#3}% No page numbers in HINT
          \HINTcontents{#1}{#2}{#3}%
        \else\ifpdf\pdflink{#3}{\romannumeral#3}\else#3\fi
          \hbox to3em{\hss#4}\fi}}
\def\consetup#1{\ifcase#1 \bf % depth -1 (@**)
  \or % depth 0 (@*)
  \or \hskip2em % depth 1 (@*1)
  \or \hskip4em \or \hskip6em \or \hskip8em \or \hskip10em % depth 2,3,4,5
  \else \hskip12em \fi} % depth 6 or more
\def\noinx{\let\inx=\end} % no indexes or table of contents
\def\nosecs{\let\FIN=\fin \def\fin{\let\parfillskip=\end \FIN}}
    % no index of section names or table of contents
\def\nocon{\let\con=\end} % no table of contents
\def\today{\ifcase\month\or
  January\or February\or March\or April\or May\or June\or
  July\or August\or September\or October\or November\or December\fi
  \space\number\day, \number\year}
\newcount\twodigits
\def\hours{\twodigits=\time \divide\twodigits by 60 \printtwodigits
  \multiply\twodigits by-60 \advance\twodigits by\time :\printtwodigits}
\def\gobbleone1{}
\def\printtwodigits{\advance\twodigits100
  \expandafter\gobbleone\number\twodigits
  \advance\twodigits-100 }
\def\datethis{\def\startsection{\leftline{\sc\today\ at \hours}\bigskip
  \let\startsection=\stsec\stsec}}
  % say `\datethis' in limbo, to get your listing timestamped before section 1
%\def\datecontentspage{% versions up to 3.65
%  \def\topofcontents{\leftline{\sc\today\ at \hours}\bigskip
%   \centerline{\titlefont\title}\vfill}} % timestamps the contents page
\def\datecontentspage{% changed in version 3.66
  \def\botofcontents{\vfill
   \centerline{\covernote}
   \bigskip
   \leftline{\sc\today\ at \hours}}} % timestamps the contents page