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+% VERTICAL RULERS 2.3 Oct 1996 for Latex 2.09 or 2e, plain TeX, amsTeX
+% by Zhuhan JIANG, University of New England, Australia NSW 2351.
+% Email: zhuhan@neumann.une.edu.au
+%
+% PURPOSE: Make a vertical ruler, numbering consecutively so that
+% any part of an article can be pinpointed immediately.
+% Move vruler freely up and down, left and right.
+%
+% There are no packages to my knowledge that number lines
+% one by one without missing certain lines, particularly
+% when there are many maths equations in the text. So vruler
+% is a good alternative for people writing text of versatile
+% format or lots of maths formulas.
+% COMMANDS:
+% \setvruler[<SCALE>][<INITIAL_COUNT>][<STEP>][<DIGITS>][<MODE>]%
+% [<ODD_HSHIFT]>][<EVEN_HSHIFT>][<VSHIFT>][<HEIGHT>]
+% <general LaTeX material-01>
+% \unsetvruler % optional
+% <general LaTeX material-02>
+%
+% <SCALE> distance between two consecutive vruler markings
+% <INITIAL_COUNT> first marking reading
+% <STEP> is the line count increment
+% <DIGITS> number of digits required for ruler markings
+% <MODE> =0 if each page has same vruler marking, =1 if otherwise
+% <ODD_HSHIFT> horizontal shift for odd pages
+% from the default value for the vruler
+% <EVEN_HSHIFT> horizontal shift for even pages
+% from the default value for the vruler
+% <VSHIFT> vertical shift from default value for vruler
+% <HEIGHT> height of vertical ruler
+%
+% \vrulercount - next mark reading on the vertical ruler
+%
+% \setdefault{cmdname}{n}{default_1}{..}{default_n} (re)set macro
+% \cmdname[#1][..][#n] to take default_1 to default_n respectively,
+% so that \cmdname[][xy] is same as \cmdname[default_1][xy][default..].
+% You don't need to use \setdefault unless you would like to change
+% the default setting for macros in vruler.sty or elsewhere.
+%
+% DEFAULTS:
+% The parameters of \setvruler admit defaults.
+% Hence e.g. \setvruler alone is same as
+% \setvruler[10pt][1][1][4][1][0pt][0pt][0pt][\textheight]
+% and e.g. \setvruler[][20] is same as \setvruler[10pt][20]
+%
+% NOTES:
+% 1. If you are using multicol.sty, then you might want to move
+% the vruler into the center to separate the columns.
+%
+% 2. If you use \topskip other than the default value, then
+% you will have to alter <VSHIFT> and <HEIGHT> parameters
+% in \setvruler accordingly (which is simple).
+%
+% 3. It is best to choose baselineskip as <SCALE> so that line
+% synchronisation is often optimal. Use e.g. 5+ to denote
+% the line immediately after marking number 5 if necessary.
+%
+% 4. In twosided book style in LaTeX2e, the initial numbering
+% of title page via \begin{titlepage} is actually onepage
+% away. To overcome this, either do not include title page in
+% the vruler environment, or set initial number #2
+% to a number (a page ahead) so that the resulting
+% initial number is what one needs.
+%
+% 5. Version 1.0 of VRULER.STY for LaTeX is released in
+% July 1993.
+%
+% EXAMPLE: see end of this file.
+% You may run the example by simply removing the line
+% containing \endinput
+%
+%BEGINMACROS
+%
+\ifx\VrulerDefined\undefined\let\next\relax\else
+\message{NOT reloaded}\let\next\endinput\fi\next
+\xdef\VrulerDefined{}% avoid TeX output routine manipulated twice.
+%
+\message{2.3 <24/10/96>}%
+%
+{\catcode`\@=11\relax \def\temp@macro{\space\space\space\space}%
+\wlog{\temp@macro VRULER version 2.3 Octorber 1996 By Z Jiang}%
+\wlog{\temp@macro University of New England, Australia}%
+\wlog{\temp@macro Email: zhuhan@neumann.une.edu.au}}%
+\xdef\EntryVruler{\the\catcode`\@}\catcode`\@=11\relax % SAVE @'s STATUS
+\let\temp@@@macro=\wlog\def\wlog#1{}%
+%
+\newdimen\temp@dim \newdimen\b@xheight\newdimen\lineh@ight
+\newbox\outputb@x\newbox\bufferbox\newbox\tempb@x
+\newcount\refn@\newcount\tot@l\newcount\rulercount
+\let\@outputpage@backup\@outputpage \let\plainoutput@backup\plainoutput
+%
+% NUMBER with left flushed zeros \fillzeros[<WIDTH>]<NUMBER>
+\newcount\temp@@ \newcount\temp@
+\def\fillzeros[#1]#2{\temp@@=#2\relax\ifnum\temp@@<0\temp@@=-\temp@@\fi
+\temp@=1 %
+\loop\ifnum\temp@@<10 \else \divide\temp@@ by 10 \advance\temp@ by 1 \fi
+ \ifnum\temp@@=10\relax\temp@@=11\relax\fi \ifnum\temp@@>10 \repeat
+\ifnum#2<0\advance\temp@1\relax-\fi
+\loop\ifnum\temp@<#1\relax0\advance\temp@1\relax\fi \ifnum\temp@<#1 \repeat
+\temp@@=#2\relax\ifnum\temp@@<0\temp@@=-\temp@@\fi \relax\the\temp@@}%
+%
+% PLAIN TEX adjustment
+\ifx\textheight\undefined
+ \newdimen \textheight \newdimen \textwidth \textheight=\vsize \textwidth=\hsize
+ \font\tiny=cmr5 \let\c@page\pageno \def\oddsidemargin{0pt}%
+ \let\evensidemargin\oddsidemargin \def\headsep{2\topskip}%
+\fi
+%
+% \makevruler[<SCALE>][<INITIAL_COUNT>][<STEP>][<DIGITS>][<HEIGHT>]
+\def\makevruler[#1][#2][#3][#4][#5]{\begingroup\offinterlineskip
+\textheight=#5\vbadness=10000\vfuzz=120ex\overfullrule=0pt%
+\global\setbox\bufferbox=\vbox to \textheight{%
+{\parskip=0pt\hfuzz=150em\b@xheight=\textheight
+\lineh@ight=#1\global\rulercount=#2%
+\tot@l\b@xheight\divide\tot@l\lineh@ight\advance\tot@l2%
+\refn@1\vskip-\lineh@ight\vskip1ex%
+\loop\setbox\tempb@x=\hbox to0cm{{\tiny\hfil\fillzeros[#4]\rulercount}}%
+\ht\tempb@x\lineh@ight\dp\tempb@x0pt\box\tempb@x\break
+\advance\refn@1\global\advance\rulercount#3\relax
+\ifnum\refn@<\tot@l\repeat}}\endgroup}%
+%
+% MAKE VRULER into \box\outputb@x
+\def\SET[#1][#2][#3][#4][#5][#6][#7][#8][#9]{%
+\ifRuler@Started\else\global\rulercount=#2\fi \global\Ruler@Startedtrue
+\begingroup\hbadness=10000\hfuzz=150em
+\ifnum#5=0\makevruler[#1][#2][#3][#4][#9]\else
+\makevruler[#1][\rulercount][#3][#4][#9]\fi\endgroup
+\begingroup\vfuzz=120ex\vbadness=10000%
+\global\setbox\outputb@x=\vbox{\b@xheight=\ht\bufferbox
+\hbox{\hskip-50pt % default initial adjustment
+ \advance\b@xheight#8\lower\b@xheight%
+ \hbox{\ifodd\c@page\hskip#6\else\hskip#7\fi \copy\bufferbox}\nobreak
+ \hskip50pt \nobreak \ifodd\c@page \hskip-#6 \else\hskip-#7 \fi \nobreak
+ \lower\ht\tempb@x\hbox{\box\tempb@x}}}\endgroup }%
+%
+\newtoks\toksone\newtoks\tokstwo\newtoks\toksthree
+\newtoks\toksfour\newtoks\toksfive \newif\ifRuler@Started \Ruler@Startedfalse
+\def\set@vruler[#1][#2][#3][#4][#5][#6][#7][#8][#9]{%
+\ifx\pageno\undefined % this is considered as LaTeX
+ % we assume all LaTeX versions have \@outputpage in the form of
+ % \@outputpage= ...\vbox{ ... \vbox{...}...}... , where 2nd \vbox
+ % contains the true content.
+ \toksfive=\expandafter{\@outputpage\s@ftymark}%temp toks
+ \long\def\parse@macro ##1\vbox##2##3\s@ftymark{%
+ \def\part@@one{##1}\def\part@@two{##2}\def\part@@three{##3}}%
+ \expandafter\parse@macro\the\toksfive
+ \let\part@one\part@@one \let\part@five\part@@three
+ \toksfive=\expandafter{\part@@two\s@ftymark}%
+ \expandafter\parse@macro\the\toksfive
+ \let\part@two\part@@one \let\part@three\part@@two \let\part@four\part@@three
+ \toksone=\expandafter{\part@one}\tokstwo=\expandafter{\part@two}%
+ \toksthree=\expandafter{\part@three}\toksfour=\expandafter{\part@four}%
+ \toksfive=\expandafter{\part@five}%
+%
+\edef\@outputpage{\the\toksone \noexpand\vbox{\the\tokstwo \noexpand\vbox{%
+ \noexpand\SET[\noexpand#1][\noexpand#2][\noexpand#3][\noexpand#4][\noexpand#5][\noexpand#6][\noexpand#7][\noexpand#8][\noexpand#9]%
+ \noexpand\temp@dim=\noexpand\textheight
+ \noexpand\advance\noexpand\temp@dim by \noexpand\headsep
+ \noexpand\hbox{% box things together
+ \noexpand\rlap{\noexpand\raise\temp@dim\box\outputb@x}%
+ \noexpand\setbox\noexpand\tempb@x=\noexpand\vbox{\the\toksthree}%
+ \noexpand\box\noexpand\tempb@x}\the\toksfour}}\the\toksfive}%
+%
+\else % now for plain TeX
+\def\plainoutput{\textheight=\vsize \SET[#1][#2][#3][#4][#5][#6][#7][#8][#9]%
+ \setbox\tempb@x\vbox{\makeheadline\pagebody\makefootline}%from plain.tex
+ \shipout \vbox {\hbox{\hskip 15pt
+ \rlap{\temp@dim=\textheight\advance\temp@dim by \headsep
+ \raise\temp@dim\box\outputb@x }\hskip-15pt \box\tempb@x }}%
+ \advancepageno \ifnum\outputpenalty>-\@MM \else\dosupereject\fi }%
+\fi}%
+%
+\def\unsetvruler{\Ruler@Startedfalse \let\@outputpage\@outputpage@backup
+ \let\plainoutput\plainoutput@backup}%
+%
+\ifx\new@measures\undefined\let\setvruler\set@vruler\fi
+%
+% LEAVE MACROS
+\let\wlog\temp@@@macro\let\temp@@@macro\undefined@
+\catcode`\@=\EntryVruler\relax
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% if you delete everything below, the macros are still valid,
+% except that you have to specify all the macro parameters for
+% \setvruler explicitly and completely
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+\xdef\EntryVruler{\the\catcode`\@}\catcode`\@=11\relax
+%
+% NEW MEASURES etc (parameter defaulting mechanism given by macros below)
+\def\new@measures{%
+ \def\temp@@macro##1##2##3{\expandafter\ifx\csname ##3temp##2##1\endcsname
+ \relax\edef\next{\noexpand\csname new##1\noexpand\endcsname
+ \csname ##3temp##2##1\endcsname}%
+ \else\let\next\relax\fi\next}%
+ \def\temp@macro##1{%
+ \temp@@macro{##1}{@}{}\temp@@macro{##1}{@@}{}\temp@@macro{##1}{@@@}{}}%
+ \temp@macro{count}\temp@macro{toks}\temp@macro{box}\temp@macro{read}%
+ \temp@@macro{if}{@}{if}\temp@@macro{if}{@@}{if}\temp@@macro{if}{@@@}{if}%
+ \def\temp@@macro##1{\expandafter\ifx\csname temp##1dim\endcsname
+ \relax\edef\next{\noexpand\csname newdimen\noexpand\endcsname
+ \csname temp##1dim\endcsname}%
+ \else\let\next\relax\fi\next}%
+ \temp@@macro{@}\temp@@macro{@@}\temp@@macro{@@@}%
+}%
+\let\temp@@@macro=\wlog\def\wlog#1{}\new@measures
+%
+%%% GENERAL STACK
+\def\make@STKcount{\csname newcount\endcsname
+ \STKcount\global\STKcount=0\relax}%
+\ifx\STKcount\undefined@
+ \def\next{\make@STKcount}\else\def\next{}\fi
+\next % ensures stack pointer not flushed if this piece of code
+ % is loaded again
+%
+\long\def\push#1{\global\advance\STKcount1\relax
+\expandafter\gdef\csname STK\the\STKcount\string~\endcsname{#1}}%
+%
+\def\popnil{\expandafter\let\expandafter\temp@macro
+ \csname STK\the\STKcount\string~\endcsname
+ \ifnum\STKcount>0\global\expandafter\let
+ \csname STK\the\STKcount\string~\endcsname=\undefined@
+ \global\advance\STKcount-1%
+ \else
+ \def\temp@macro{}\global\STKcount=0%
+ \fi\relax % \temp@macro for pop
+}%
+%
+\def\pop{\popnil\temp@macro}%
+%
+%% GET PARAMETERS
+\long\def\get@nepara[#1][#2]{{\def\next@{#2}%
+\ifx\next@\empty\push{#1}\else\push{#2}\fi}\ag@in}%
+%
+\long\def\get@para\left@#1\right@{%
+\def\check@{%
+ \ifx[\next@ \def\full@####1{\get@nepara[#1]####1}%
+ \else \def\full@{\get@nepara[#1][#1]}\fi
+ \full@}%
+\futurelet\next@\check@}%
+%
+\long\def\do@nepara\left@#1\right@#2\p@r@end{%
+\gdef\p@r@data{#2}\global\advance\p@r@count1\get@para\left@#1\right@}%
+%
+\def\ag@in{\ifx\p@r@data\empty \def\next@{\relax
+\getp@r@s\run@CMD}\else
+\def\next@{\expandafter\do@nepara\p@r@data\p@r@end}\fi
+\next@}%
+%
+\def\run@CMD{\csname STK\the\STKcount\string~\endcsname}%
+%
+\def\num@to@word#1{\ifcase #1 \or
+ \def\temp@macro{one}\or \def\temp@macro{two}\or
+ \def\temp@macro{three}\or \def\temp@macro{four}\or
+ \def\temp@macro{five}\or \def\temp@macro{six}\or
+ \def\temp@macro{seven}\or \def\temp@macro{eight}\or
+ \def\temp@macro{nine}\else \def\temp@macro{}\fi
+\temp@toks=\expandafter{\temp@macro}}%
+%
+\temp@@count=1 % make nine newtoks, if they don't already exist
+\loop \num@to@word{\temp@@count}%
+ \expandafter\ifx\csname p@r@\the\temp@toks\endcsname\relax
+ \temp@@toks={newtoks}\expandafter\csname\expandafter\the
+ \expandafter\temp@@toks\expandafter\endcsname
+ \csname p@r@\the\temp@toks\endcsname\fi
+ \advance\temp@@count by 1 \ifnum\temp@@count<10 \repeat
+%
+\ifx\p@r@count\undefined \newcount\p@r@count\fi
+\long\def\st@ckparas#1\p@r@end{%
+\global\p@r@count=0\gdef\p@r@data{#1}\ag@in}%
+%
+% PARAMETER ASSIGNMENT % use \temp@count
+\def\getp@r@s{\temp@count=\p@r@count
+{\loop
+ \ifnum\temp@count>0 %
+ \expandafter\let\expandafter
+ \temp@macro\csname STK\the\STKcount\string~\endcsname
+ \ifcase\temp@count
+ \or \global\p@r@one=\expandafter{\temp@macro}%
+ \or \global\p@r@two=\expandafter{\temp@macro}%
+ \or \global\p@r@three=\expandafter{\temp@macro}%
+ \or \global\p@r@four=\expandafter{\temp@macro}%
+ \or \global\p@r@five=\expandafter{\temp@macro}%
+ \or \global\p@r@six=\expandafter{\temp@macro}%
+ \or \global\p@r@seven=\expandafter{\temp@macro}%
+ \or \global\p@r@eight=\expandafter{\temp@macro}%
+ \or \global\p@r@nine=\expandafter{\temp@macro}%
+ \else \errmessage{Parameter capacity exceeded.}%
+ % this should never happen: TeX's max para no. is 9
+ \fi
+ \global\expandafter\let
+ \csname STK\the\STKcount\string~\endcsname=\undefined@%
+ \global\advance\STKcount-1%
+ \global\advance\temp@count-1\relax
+ \fi
+ \ifnum\temp@count>0 %
+\repeat}}%
+%
+\def\clrp@r@s{%GLOBALLY clear
+\global\p@r@one={}\global\p@r@two={}\global\p@r@three={}%
+\global\p@r@four={}\global\p@r@five={}\global\p@r@six={}%
+\global\p@r@seven={}\global\p@r@eight={}\global\p@r@nine={}}%
+%
+\def\read@paras#1{\temp@@@count=1 %use \temp@@@count and \temp@@count
+ \loop \num@to@word{\the\temp@@@count}\csname p@r@\the\temp@toks\endcsname={}%
+ \advance\temp@@@count by 1 \ifnum\temp@@@count<10 \repeat
+ \temp@@@count=1 \temp@@count=#1 %
+ \def\read@one@para##1{\num@to@word{\temp@@@count}%
+ \def\temp@macro{\left@ ##1\right@}%
+ \temp@@@toks=\expandafter{\temp@macro}%
+ \csname p@r@\the\temp@toks\endcsname\expandafter{\temp@macro}%
+ \advance\temp@@@count by 1 \read@continue}%
+ \def\read@continue{\num@to@word{\temp@@@count}% which uses \temp@macro
+ \ifnum\temp@@@count>\temp@@count \let\next@@\make@default
+ \edef\temp@@macro{\the\p@r@one\the\p@r@two\the\p@r@three\the\p@r@four
+ \the\p@r@five\the\p@r@six\the\p@r@seven\the\p@r@eight\the\p@r@nine}%
+ \else \let\next@@\read@one@para
+ \fi \next@@}\read@continue}%
+%
+\def\make@@default#1#2{\temp@count=#2\relax \temp@@count=1 %used \temp@@macro
+ \loop \num@to@word{\temp@@count}%
+ \ifnum\temp@@count>\temp@count \csname p@r@\the\temp@toks\endcsname={}%
+ \else \csname p@r@\the\temp@toks\endcsname
+ =\expandafter{\expandafter[\expandafter
+ \the\csname p@r@\the\temp@toks\endcsname]}\fi
+ \advance\temp@@count by 1 %
+ \ifnum\temp@@count<10 \repeat
+ \edef\temp@macro{\the\p@r@one\the\p@r@two\the\p@r@three\the\p@r@four
+ \the\p@r@five\the\p@r@six\the\p@r@seven\the\p@r@eight\the\p@r@nine}%
+ \temp@toks=\expandafter{\temp@macro}%
+ \temp@@toks=\expandafter{\temp@@macro}%
+ \expandafter\let\expandafter\temp@macro\csname #1\endcsname
+ \expandafter\ifx\csname #1@ raw\endcsname\relax
+ \expandafter\let\csname #1@ raw\endcsname\temp@macro\fi
+ \expandafter\edef\csname#1\endcsname{%
+ \noexpand\push{\noexpand\edef\noexpand\next@@{%
+ \noexpand\noexpand \noexpand \csname \noexpand#1@ raw\noexpand\endcsname
+ \the\temp@toks}%
+ \noexpand\popnil\noexpand\clrp@r@s\noexpand\next@@}\noexpand\st@ckparas
+ \the\temp@@toks \noexpand\p@r@end}}%
+%
+% \setdefalut{cmdname}{n}{default1}{..}{default_n}
+% then \cmdname[#1][..][#n] can be defaulted.
+\def\setdefault#1#2{\def\make@default{\make@@default{#1}{#2}}\read@paras{#2}}
+%
+% best strategy (e.g) to define \foo[#1][#2]{#3} so as to default #1 and #2
+% while making #3 compulsory in brace bracket.
+% 1. define \foo@[#1][#2]#3 as normal (what you wish)
+% 2. define \foo[#1][#2]#{\foo@[#1][#2]} to make {#3} mandatory
+% 3. use \setdefault{foo}{2}{one}{two} to default #1=one and #2 to two
+%
+% DEFAULT MECHANISM END: this piece of code can be included in any
+% package and can be reloaded any times without overruning the resources.
+%
+%%%%%%% make defaults %%%%%%%%%%%
+\setdefault{setvruler}{9}{12pt}{1}{1}{4}{1}{0pt}{0pt}{0pt}{\textheight}%
+%
+\let\wlog\temp@@@macro\let\temp@@@macro\undefined@
+\catcode`\@=\EntryVruler\relax
+\endinput
+%
+%ENDMACROS
+%
+% Application example
+\documentstyle[vruler,twoside]{article}
+ \setlength{\textwidth}{2.5in}
+ \setlength{\oddsidemargin}{3cm}
+ \setlength{\evensidemargin}{6cm}
+ \overfullrule=0pt \parindent=0pt
+\begin{document}
+\advance\textwidth 3cm %2cm is better for plain TeX
+\setvruler [][][][][][\textwidth]
+ This is a simple example, in which we have
+ placed vertical rulers on the left for
+ odd numbered pages and on the right for
+ even numbered pages. \newpage
+
+ This is the second page and is thus an even
+ numbered page. Please see that the vertical
+ ruler is now on the right, and is approximately
+ of the same distance from the text margin as
+ the vertical ruler on the first page from
+ the left margin there. \newpage
+\unsetvruler
+ The following pages, in fact only this page, will
+ not be appended with the vertical rulers.\newpage
+\setvruler[][\rulercount]
+ This page will be added with the vertical ruler again.
+ Here the numbering marking of the vertical ruler picks
+ up where it was left. Nevertheless, we may start with
+ any new number. \newpage
+
+ This is another page. Please see that both this and
+ the previous pages have vruler on the left side.
+\end{document}