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% pdcoput5.dtx -- documentation & source for outpout routine -*-tex-*-
        
%%%@TeX-document-file {
%%% title 	= "PDCOPUT5 -- An output routine for zines",
%%% filename 	= "$texmf/doc/plain/pdcmac/pdcoput5.dtx",
%%% version 	= "$Revision: 5.3 $",
%%% package 	= "pdcmac 1.0",
%%% date 	= "$Date: 1995/04/06 11:51:03 $",
%%% author	= "P. Damian Cugley",
%%% email	= "damian.cugley@comlab.ox.ac.uk",
%%% address	= "Oxford University Computing Laboratory,"
%%%                Parks Road, Oxford  OX1 3QD, UK",
%%% abstract	= "This document describes and is the source code for 
%%%                the TeX definitions file pdcoput5.tex.
%%%                Running plain TeX on this file produces both the
%%%                definitions file and the printed documentation.",
%%% copyright	= "Copyright (c) 1991-1995 P. Damian Cugley",
%%% copying	= "This program is free software; you can redistribute
%%%		   it and/or modify it under the terms of the GNU
%%%		   General Public License as published by the Free
%%%		   Software Foundation; either version 2 of the License,
%%%		   or (at your option) any later version.",
%%% notice	= "This program is distributed in the hope that it will
%%%		   be useful, but WITHOUT ANY WARRANTY; without even the
%%%		   implied warranty of MERCHANTABILITY or FITNESS FOR A
%%%		   PARTICULAR PURPOSE.  See the GNU General Public
%%%		   License for more details.",
%%% notice	= "You should have received a copy of the GNU General
%%%		   Public License along with this program; if not, write
%%%		   to the Free Software Foundation, Inc., 675 Mass Ave,
%%%		   Cambridge, MA 02139, USA.",
%%% codetable	= "USASCII",
%%% dependencies = "pdccode.tex"
%%%}

%{{{ pdcoput5.tex
%{{{  preamble

\relax
\input pdccode
\input epsf

\document
\rcs$Id: pdcoput5.dtx,v 5.3 1995/04/06 11:51:03 pdc Exp $\endrcs

\codefile{pdcoput5.tex}

\countdef\counta=255 \newcount\countb
\counta=`a \countb="7461
\loop \ifnum\counta<"7B
    \mathcode\counta\countb
    \advance\counta1 \advance\countb1
\repeat
\counta=`A \countb="7441
\loop \ifnum\counta<"5B
    \mathcode\counta\countb
    \advance\counta1 \advance\countb1
\repeat

%}}}  preamble
%{{{  introduction

\title{PDCOPUT5---an output routine for zines}

\section{Introduction}

	This document describes |pdcoput5.tex|, a \TeX\ definition file
	that defines an output routine for \TeX\ documents.  The
	complete text of the macros is reproduced, with brief
	descriptions of how to exploit them.

	In fact, running plain \TeX\ on the file |pdcoput5.dtx|
	generates a copy of the macros in a file called |pdcoput5.tex|
	in the current directory, as well as the printed
	documentation.\footnote*{The \LaTeX~2e distribution uses files
	with the suffix |dtx| for similar purposes.}  This should help
	ensure that the printed documentation matches the file it
	describes.

	The name ends with `-|5|' to distinguish this file from its
	predecessor (version 4.1.7), so that documents based on the old
	macros can still be printed.

%{{{   output routines
\subsec{Output routines}

	In a \TeX\ document, there is a special sequence of \TeX\
	commands called the {\it output routine} which controls the
	assembly of pages for output to the |dvi| file.  
	Plain \TeX\ comes with an output routine that handles simple
	documents (with footnotes and topinserts); \LaTeX\ has a more
	complex output routine that has many extra features (margin
	paragraphs, \LaTeX's floats).
%}}}   output routines
%{{{   backgorund
	
\subsec{Background to this output routine}

	I have been using \TeX\ to typeset fanzines\footnote\dag{The
	word {\it fanzine} comes from science fiction fans' jargon: {\it
	fan} for amateur (in the sense of unpaid, not necessarily
	amateurish) + {\it magazine}.  (They call professional magazines
	{\it prozines}.)  Thus a fanzine (or zine for short) is a small
	magazine, often produced by photocopying or cheap printing by
	its editor.  The word {\it zine} rhymes with {\it scene} not
	{\it sign}, and isn't spelled with an apostrophe (unless you are
	the sort of person who spells {\it phone}, {\it cello} and {\it
	bus} with an apostrophe).}  for some years.  Unfortunately, for
	magazine layouts, the `floating' insertions provided by plain
	\TeX\ and \LaTeX\ do exactly the wrong thing---in a magazine,
	the designer wants to lay out the components of the page
	(illustrations, text, headings) exactly where he or she wants
	them, whereas the standard \TeX\ formats are designed to let the
	formatter place components according to its own complex rules.
	
	Originally I~tried browbeating \LaTeX\ into doing the zine
	layouts I~wanted.  I realized eventually that by the time I~had
	redefined enough of \LaTeX's kernel to get the effects I~wanted
	I~would more or less have written everything from scratch.  The
	sort of typesetting I~wanted is so unlike what \LaTeX\ is
	designed for that \LaTeX\ was getting in the way.
	
	Thus I~developed a set of \TeX\ definition files,\footnote\ddag{We
	can ignore the intermediate stage, which involved writing a
	`user-friendly' format in the style of \LaTeX\ and Texinfo, with
	structures very different from plain \TeX's syntax.  In the end
	I realized that a format that requires disguising or renaming
	plain \TeX\ constructs makes using and modifying the macros
	harder, not easier, because the user has to understand the new
	conventions in addition to plain \TeX\ syntax.} with an output
	routine that allowed a page to be peppered with inserts with the
	text flowing in between them (with a more restricted class of
	inserts than, say, a DTP program, but still flexible enough to
	be useful).  The output routine also does multi-column text---in
	this respect it is very similar to the |multicol| package in
	\LaTeX~2e.  The routine presented here has been rewritten from
	scratch a few times, each time shedding some cruft as I~have a
	better understanding of \TeX.
%}}}   backgorund
%{{{   layout model
	
\subsec{The layout model}

\topinsert
    \line{\vbox{\advance\hsize-1pc \hsize=0.333\hsize
		\noindent{\bf Figure 1}\quad Page layout.  This shows a
		page without the optional extra boxes.  In this example,
		text columns each span two grid cells.  The left-hand
		column has an illo (space for an illustration) with caption.
	}%
	\epsfxsize=\hsize \advance\epsfxsize-1pc
	\epsfxsize=0.667\epsfxsize \epsffile{oput01.eps}\hfil
}
\medskip\hrule\medskip
\endinsert

\topinsert
    \line{\epsfxsize=\hsize \advance\epsfxsize-1pc
	\epsfxsize=0.667\epsfxsize \epsffile{oput02.eps}\hfil
	\vbox{\advance\hsize-1pc \hsize=0.333\hsize
		\noindent{\bf Figure 2}\quad Page layout parameters.  
		This page has with
		all the optional boxes (shown with dashed lines).  One text
		column has a space left for artwork.  Text columns are the same
		width as grid cells.
	}}
\medskip\hrule\medskip
\endinsert

	The main part of the page (everything except the headline and
	footline) is called the {\it body}.  The body is divided into a
	grid of cells.  The cells are conceptually the framework on
	which page components like text columns and illustrations are
	hung.  For example, text columns may span two cells.  Figure~1
	shows a simple layout.  Fitting on the grid usually means the
	width of the object is $N\times gridwd + (N-1)\times colsep$ and
	its left edge is $K\times(gridwd + colsep)$ from the left edge
	of the page body.  

	The aim of using a grid layout is to combine flexibility with
	enough structure that the result is not a chaotic mess.  The
	example grid is 5~cells wide, so that text columns can probably
	be 2 or 3 cells wide without being too narrow or too wide.
	Illustrations may be anything from 1 to 5 cells wide, or may
	bleed off the page.

	

	
%}}}   layout model
%}}}  introduction
%{{{  identification
\section{File identification}

	Macro files nowadays tend to start with a whole slew of header
	comments designed to be useful to people comign across the file
	in some archive and unaware of what it is for.

\code
	\|\% \filename~\fileversion~\filedate~-- output routine for zines
	|
	|%%%@TeX-definition-file {
	|%%% filename       = "$texmf/tex/plain/pdcmac/pdcoput5.tex",
	\|\%\%\% version~~~~~~~~= "\fileversion",
	\|\%\%\% date~~~~~~~~~~~= "\filedate",
	|%%% package        = "pdcmac 1.0",
	|%%% author         = "P. Damian Cugley",
	|%%% email          = "damian.cugley@comlab.ox.ac.uk",
	|%%% address        = "Oxford University Computing Laboratory,
	|%%%                   Parks Road, Oxford  OX1 3QD, UK",
	|%%% codetable      = "USASCII",
	|%%% keywords       = "TeX, plain TeX, macros",
	|%%% supported      = "Maybe",
	|%%% abstract       = "TeX output routine for magazine-style layout.
	|%%%                   This file was generated by running
	\|\%\%\%~~~~~~~~~~~~~~~~~~~plain TeX on \jobname.dtx",
	|%%% copyright      = "Copyright (c) 1991-1995 P. Damian Cugley",
	|%%% copying        = "DO NOT DISTRIBUTE THIS FILE.
	\|\%\%\%~~~~~~~~~~~~~~~~~~~Distribute \jobname.dtx only as part of the
	|%%%                   package it came in.",
	|%%% dependencies   = "",
	|%%% }
	|
	\|\\message\{\fileversion~<pdc \filedate>\}
	|
\endcode
%}}}  identification
%{{{  internals
\section{Miscellaneous internal definitions}
\subsec{Scratch registers}
	
	These are one-token names for some handy non-global temporary
	registers (in plain \TeX\ these are given names with |@| in
	them; these definitions give them names I can use).
\code
	|\countdef\counta=255
	|\dimendef\dimena=0 \dimendef\dimenb=2
	|\toksdef\toksa=0 \toksdef\toksb=2
\endcode
	I~don't use |\dimen1| and |\toks1| because they are supposed to
	be used only globally (as discussed in {\it\TeX book}
	Appendix~B).

\subsec{Queues}

	These macros manipulate queues of instructions for the ouytput
	routine, represented as list macros of a form similar to those
	described in {\it\TeX book} Appendix~D Section~2 (the parameters
	in different order).

\notepar
	All of these work by making assignments and so will not work in
	\TeX's mouth.
\endnotepar

	We can describe these briefly using letters like $x$ to stand
	for elements (enclosed in braces) and $xs$ to stand for a list
	macro of $x$s.  Each macr has a duplicate starting with `|g|-'
	which does the same operation globally.

%	|\prepend| $xs$ $x$ --- $xs:=\langle x\rangle + xs$
%\code
%	|\long\def\prepend#1#2{%
%	|    \toksa={\\{#2}}\toksb=\expandafter{#1}%
%	|    \edef#1{\the\toksa\the\toksb}%
%	|}
%\smallbreak
%	|\long\def\gprepend#1#2{%
%	|    \toksa={\\{#2}}\toksb=\expandafter{#1}%
%	|    \xdef#1{\the\toksa\the\toksb}%
%	|}
%\endcode
	|\qappend| $xs$ $x$ --- $xs:= xs + \langle x\rangle $
\code
	|\long\def\qappend#1#2{%
	|    \toksa={\\{#2}}\toksb=\expandafter{#1}%
	|    \xdef#1{\the\toksb\the\toksa}%
	|}
\endcode
%	|\catenate| $xs$ $ys$ $zs$ --- $xs:=ys + zs$
%\code
%	|\def\catenate#1#2#3{%
%	|    \toksa=\expandafter{#2}\toksb=\expandafter{#3}%
%	|    \edef#1{\the\toksa\the\toksb}%
%	|}
%\smallbreak
%	|\def\gcatenate#1#2#3{%
%	|    \toksa=\expandafter{#2}\toksb=\expandafter{#3}%
%	|    \xdef#1{\the\toksa\the\toksb}%
%	|}
%\endcode
	|\qremove| $x$ $xs$ --- $x, xs := hd(xs), tl(xs)$
	(where $xs = \langle hd(xs)\rangle + tl(xs)$)
\code
	|\def\qremove#1#2{%
	|    \expandafter\glopoff#2\glopoff#1#2%
	|}
	|\long\def\glopoff\\#1#2\glopoff#3#4{%
	|    \gdef#3{#1}\gdef#4{#2}%
	|}
\endcode

%}}}  internals
%{{{  parameters
\section{Parameters}

	We collect here definitions for parameters that customizate the
	layout.  In documents, many of these are set in using
	higher-level macros.

	The abbreviations |mg| (margin), |wd| (width) and |ht| (height)
	are used a lot in dimen names.

\subsec{Heights and depths}
	The physical size of the paper is $paperwd\times paperwd$.  The
	area which will be filled with text columns is $bodywd\times
	bodyht$.  This area is divided in to a grid of cells each
	$gridwd\times gridht$, with cells separated by $colsep$
	horizontally but butting vertically (there are $n$ cells, so
	$n\times gridwd + (n-1)\times colsep = bodywd$).  Finally,
	$colwd$ is the width of text columns ($colwd = k\times gridwd +
	(k-1)\times colsep$) and $colht$ is the height of text columns
	on the current page (it is equal to $bodyht$ iff therte is no
	topbox or botbox).
\code
	|\newdimen\paperwd \newdimen\paperht
	|\newdimen\bodywd \newdimen\bodyht
	|\newdimen\gridwd \newdimen\gridht
	|\newdimen\colwd \newdimen\colht
\endcode


\subsec{Margins and separators}
	These margins measure from the edge of the paper as defined by
	|\paperwd| and |\paperht|.  The inner margin (|\innermg|) is on
	the left on odd pages and on the right for even pages.

	The bottom margin will be increased slightly later on to make
	$$vsize=N\times baselineskip + topskip\quad.$$
	
\code
	|\newdimen\topmg    \topmg=20mm
	|\newdimen\outermg  \outermg=20mm
	|\newdimen\innermg  \innermg=20mm
	|\newdimen\botmg    \botmg=27mm
\endcode

	Parameters for the distance between the baselines of the
	headline and the first line of text the corresponding distance
	for footlines.
\code
	|\newskip\headlineskip  \headlineskip=10mm 
	|\newskip\footlineskip  \footlineskip=10mm
\endcode


	The parameters |\caprule| and |\capsep| specify the separation
	between captions and the adjacent text column.  The vertical
	displacement is $capsep$, with a horizontal rule of thickness
	$caprule$ is drawn in the middle (set this to $0\pt$ to have no
	rule).

\code
	|\newdimen\caprule  \caprule=0.4pt
	|\newskip\capsep    \capsep=5mm
\endcode

	The corresponding parameters for column separators---this time
	it is a vertical rule.
\code
	|\newdimen\colrule  \colrule=0.4pt
	|\newdimen\colsep   \colsep=5mm
\endcode

	The number of text columns on a page.  
\code
	|\newcount\ncols \ncols=1
\endcode

\subsec{Boxes}
	To switch the number of columns in mid page, the first text is
	run through the output routine and the resultant partial page is
	stored in |\partialpage| to be placed at the top of the next
	output.

\code
	|\newbox\partialpage  
\endcode

	The special boxes |\topbox| and |\botbox|, if non-void, are
	placed at the top and bottom of the page, going inside the
	headline and footline but outside the body text area (which is
	reduced correspondingly).  These are often useful in
	multi-column text to put titles that span the page.
\code
	|\newbox\topbox \newbox\botbox
\endcode

	These boxes, if not void, go at the left and right of the body
	text.  The amount of space for columns of text is reduced by the
	width of the boxes.
\code
	|\newbox\leftbox \newbox\rightbox
\endcode

	The output routine is passed the current page contents in
	box~255.
\code
	|\chardef\pagebox=255
\endcode

\subsec{Hooks}

	These two list macros are used to override the output routine
	with customized layouts.

	One item is removed from |\pagelist| to generate each page body
	(the page body is everything except the headline, footline,
	topbox, botbox amd partial page).  If the list is empty, then
	the default action is `|\makebody\pagebox|'.  The commands
	should make a box with width |\bodywd|m and heght |\colht|.
\code
	|\let\pagelist\empty
\endcode
	An item is removed from |\collist| each time a column is to be
	created by |\makebody|.  Each item should be \TeX\ commands that
	generate a box with width |\colwd| and height |\colht|.
\code
	|\let\collist\empty
\endcode

	Finally, token registers that may be used to customize pages and
	captions.  For example, |\everypage| is used in |pdccmdoc.tex|
	to create an empty |\leftbox| on each page.
\code
	|\newtoks\everypage
	|\newtoks\everycaption
\endcode
%}}}  parameters
%{{{  make a column (vbox)
\section{How to make one column}

	This is the default way to generate a column of text---this will
	normally be invoked $k$ times if there are $k$ columns.

	A column is a vbox of height $colht$ and width $colwd$.  It
	contains, in order from top to bottom, an illustration (vertical
	mode material, normally white space for artwork to be pasted
	into), caption separator, text (from the page), caption
	separator, and bottom illustration.  The illustrations are
	usually omitted.  When there is no illustration, the caption
	separators are omitted too.
 	The macro takes the following parameters:
$$\halign{\indent\tt\##\hfil&\quad#\hfil&\quad#\hfil\cr
	1&  vertical mode material& illustration at top of column\cr
	2&  \<8-bit number>&	box to make middle out of\cr
	3&  vertical mode material& illustration for bottom of column\cr
}$$ 
 	To make baselines line up, $capsep=baselineskip$ and the height
	of a top illustration must be $N\times baselineskip + topskip$
	and of a bottom illustration must be $N\times baselineskip$
	(|\prevdepth| is set to $0\pt$ at the start of the bottom
	illustration, so if it starts with a box, baselineskip glue will
	be inserted to make the baseline of the box align correctly.)
\code
	|\newdimen\toptotal \newdimen\bottotal
\smallbreak
	|\def\xxxmakecolumn#1#2#3#4#5{\xmakecolumn
	|    {\ifdim#1=0pt\else \kern#1 \fi
	|     \def\tmp{#2}\ifx\tmp\empty\else #2 \fi}
	|    {#3}
	|    {\def\tmp{#2}\ifx\tmp\empty\else #2 \fi
	|     \ifdim#1=0pt\else \kern#1 \fi}%
	|}
\smallbreak
	|\def\xmakecolumn#1#2#3{%
	|    \vbox to \colht{
\endcode
	Calculate in |\dimena| how much of the text box will be needed
	once we have allowed for any illustrations, footnotes or
	topinserts:
\code
	|        \dimena\colht 
	|        \setbox0=\vbox{#1}\advance\dimena-\ht0
	|        \ifdim\ht0>0pt 
	|            \advance\dimena-\capsep 
	|            \advance\dimena\topskip \advance\dimena-\baselineskip
	|        \fi
	|        \setbox4=\vbox{\prevdepth=0pt #3}%
	|        \advance\dimena-\ht4
	|        \ifdim\ht4>0pt \advance\dimena-\capsep \fi
	|        \ifvoid\footins\else
	|            \advance\dimena-\ht\footins
	|            \advance\dimena-\skip\footins
	|        \fi
	|        \ifvoid\topins\else
	|            \advance\dimena-\ht\topins
	|            \advance\dimena-\skip\topins
	|        \fi
\endcode
	Split that much text off the top of the box:
\code
	|        \splittopskip\topskip \splitmaxdepth\maxdepth
	|        \setbox2=\vsplit#2to\dimena
\endcode
	Now to sandwich it all together.  
\code
	|        \dimena=\ht0 \dimenb=\dp0 \unvbox0
	|        \ifdim\dimena>0pt  
	|            \prevdepth=\dimenb
	|            \capseparator 
	|            \dimena\baselineskip \advance\dimena-\topskip
	|            \kern\dimena
	|            \nointerlineskip
	|        \fi
	|        \ifvoid\topins\else \unvbox\topins \vskip\skip\topins \fi
	|        \dimena\dp2	
	|        \ifvoid2 \vfil \else \unvbox2 \fi
	|        \ifvoid\footins \else
	|            \vskip\skip\footins \footnoterule
	|            \dimena=\dp\footins \unvbox\footins
	|        \fi
	|        \ifdim\ht4>0pt 
	|            \prevdepth=\dimena
	|            \capseparator \kern-\prevdepth \prevdepth0pt
	|        \fi
	|        \unvbox4
	|    }%
	|}
\endcode
	The caption separator is in an hbox so that 
	baselineskip glue will be added appropriately.
\code
	|\def\capseparator{%
	|    \hbox to \colwd{%
	|        \dimena=0.5ex \advance\dimena-0.5\caprule
	|        \dimenb=\dimena \advance\dimenb\caprule
	|        \vrule height \dimenb depth-\dimena width\colwd
	|    }%
	|}
\endcode

	Here's a macro for making an illustration (blank space) with
	caption, suitable for top of page.  |#1| is the cation, |#2| is
	vertical mode material commands to make the illustration (often
	this will be something like `|\kern|$n$|\baselineskip|' to leave
	$n$ lines of blank space).  The whitespace between illustration
	and caption is adjusted to make the whole shebang line up.
\code
	|\def\topillustration#1#2{%
	|    \setbox0=\vbox{#2}%
	|    \dimena\ht0 \dimenb\dp0 \unvbox0
	|    \counta\dimena \divide\counta\baselineskip
	|    \advance\dimena-\counta\baselineskip \advance\dimena-\topskip
	|    \kern-\dimena \prevdepth\dimenb
	|    \hsize=\colwd \vskip-\parskip \noindent#1\par
	|}
\endcode

	Similar for bottom of column.
\code
	|\def\botillustration#1#2{%
	|    \setbox0\vbox{\hsize=\colwd \vskip-\parskip \prevdepth=0pt #1}
	|    \setbox2=\vbox{\prevdepth=\dp0 #2}%
	|    \dimena=\ht0 \advance\dimena\dp0 \advance\dimena\ht2
	|    \unvbox0
	|    \counta\dimena \divide\counta\baselineskip 
	|    \advance\dimena-\counta\baselineskip 
	|    \advance\dimena-\baselineskip
	|    \kern-\dimena
	|    \unvbox2
	|}
\endcode

%}}}  make a column
%{{{  make body part of page (hbox)
\section{Making the page body hbox}

	The page body is everything except the footline, headline,
	topbox and botbox.  It should be a box of height |\bodywd|
	(which is normally fixed) and height |\colht| (which is
	|\bodyht| minus the top and bot boxes).

	The default macro for making the body is |\makebody| which takes
	as its parameter the box number (usually |\pagebox|).  (This may
	be replaced by adding items to the list macro |\pagelist|.)
\code
	|\def\makebody#1{%
	|    \hbox to \bodywd{%
	|        \ifvoid\leftbox\else 
	|            \box\leftbox 
	|            \colseparator
	|        \fi
	|        \makecolumnfromcollist{#1}%
	|        \counta\ncols
	|        \loop \ifnum\counta>1
	|            \colseparator
	|            \makecolumnfromcollist{#1}%
	|            \advance\counta -1
	|        \repeat
	|        \ifvoid\rightbox\else 
	|            \colseparator
	|            \box\rightbox 
	|        \fi
	|    }%
	|}
\smallbreak
	|\def\colseparator{%
	|    \hfil \vrule width\colrule depth0pt \hfil 
	|}
\endcode

	The macro |\makecolumnfromcollist| is used to generate columns
	(which must be boxes of height |\colht| and width |\colwd|).  It
	uses the next item on |\collist| if there is one, otherwise it
	just uses |\xmakecolumn|.
\code
	|\def\makecolumnfromcollist#1{%
	|    \ifx\collist\empty
	|        \xmakecolumn{}{#1}{}%
	|    \else
	|        \qremove\temp\collist
	|        \temp
	|    \fi
	|}
	|
\endcode
%}}}  make insides of page (hbox)
%{{{  make a page (vbox)
\section{Making a page vbox}

	The macro generates a new page---a vbox to be `shipped out'.
	The first page includes a |papersize| special; this is because
	if the macros used to change the paper size also generated the
	|\special| then there might be conflicting |\special|s which
	would confuse the printer driver.  This way the paper size may
	be changed a few times before the first page.

	The |\colht| register is set to the height of text columns on
	this page (which is $bodyht$ minus the height of any partial
	page, top or bottom boxes).
\code
	|\def\makepage{%
	|    \vbox{
	|        \papersizespecial
	|        \colht\bodyht \advance\colht-\ht\partialpage
	|        \advance\colht-\ht\topbox \advance\colht-\ht\botbox
	|        \advance\colht-\dp\partialpage
	|        \advance\colht-\dp\topbox
	|        \the\everypage
	|        \makeheadline \nointerlineskip
	|        \box\partialpage \nointerlineskip
	|        \box\topbox \nointerlineskip
	|        \ifx\pagelist\empty
	|            \makebody\pagebox
	|        \else
	|            \qremove\temp\pagelist 
	|            \temp
	|        \fi
	|        \unvbox\botbox
	|        \makefootline
	|    }%
	|}
\endcode

	The |\makeheadline| macro generates the headline in the form of
	vertical mode material with zero height.  It is expanded after
	|\everypage| has been expanded, at the very top of the page's
	vbox.
\code
	|\def\makeheadline{
	|    \vbox to 0pt {
	|        \skip0=\topskip \advance\skip0-2\ht\strutbox 
	|        \advance\skip0-\headlineskip
	|        \vskip\skip0
	|        \hbox to \bodywd{\the\headline}
	|        \vss
	|    }
	|}
\endcode

	The footline is, naturally, generated with |\makefootline|.
	This time there is no requirement for it to be zero height.  It
	is the last thing in the box being shipped out.
\code
	|\def\makefootline{{
	|    \baselineskip=\footlineskip
	|    \hbox to \bodywd{\the\footline}
	|}}
\endcode

	The |papersize| special is specified in the manual for DVIPS.
	It specifies the physical size of the medium---and so must be
	multiplied by the current magnification.
\code
	|\def\papersizespecial{{%
	|    \dimena=0.001\paperwd \multiply\dimena\mag
	|    \dimenb=0.001\paperht \multiply\dimenb\mag
	|    \special{papersize=\the\dimena,\the\dimenb}%
	|    \global\let\papersizespecial=\relax
	|}}
	|
\endcode
%}}}  make a page (vbox)
%{{{  output
\section{The output routine}

	The output routine sets |\hoffset| appropiately (subtracting
	$1{\scriptstyle''}$ to allow for \TeX's peculiar origin point
	one inch from the top left of the page.
\code
	|\def\pdcoutput{%
	|    \ifodd\pageno \hoffset=\innermg \else \hoffset=\outermg \fi
	|    \advance\hoffset-1 true in
	|    \voffset=\topmg
	|    \advance\voffset-1truein
	|    \shipout\makepage \advancepageno 
	|    \ifnum\outputpenalty>-20000 \else \dosupereject \fi
	|    \unvbox\pagebox
	|}
\smallbreak
	|\output={\pdcoutput}
\endcode
%}}}  output
%{{{  automated column setting
\section{Specifying a grid}

	These macros for setting the paper size ought to be invoked
	after the base font and baseline skip have been set but before
	the numebr of columns is chosen.

\subsec{Specifiying the paper size}

	This is a macro that might be used in documents.  It takes two
	parameters, \<dimen>s for the width and height of the paper.
\code
	|\def\setpaper#1#2{%
	|    \paperwd=#1\relax
	|    \paperht=#2\relax
	|    \OPUTcalcbodywdht
	|    \OPUTcalctopskip
	|}
\endcode
	Calculate the page body width |\bodywd| from the paper size and
	the size of the margins:
\code
	|\def\OPUTcalcbodywdht{
	|    \bodywd=\paperwd \advance\bodywd-\outermg \advance\bodywd-\innermg
	|    \bodyht=\paperht \advance\bodyht-\topmg \advance\bodyht-\botmg
	|    \OPUTcalctopskip
	|}
\endcode

	To avoid having to write `Aiv' or `afour' for specifying
	international standard A4 paper, I~use an
	|\ifcase|.\footnote*{Note for Americans: A4 corresponds to
	American Letter size, and A3 to Ledger size.}  This macro
	handles A0 to A5.
\code
	|\def\setpaperA#1{
	|    \ifcase#1
	|        \setpaper{841mm}{1189mm}\or
	|        \setpaper{594mm}{841mm}\or	
	|        \setpaper{420mm}{594mm}\or	
	|        \setpaper{297mm}{420mm}\or	
	|        \setpaper{210mm}{297mm}\or	
	|        \setpaper{148mm}{210mm}	
	|    \else
	|        \errmessage{Dunno how big DIN A#1 paper is, sorry.}
	|    \fi
	|}
\endcode

\subsec{Adjusting the body height and top skip}

	Plain \TeX\ sets |\topskip| to $10\pt$, which means there is a
	gap between the top of the letters of the top line of text and
	the top of the pages's vbox (i.e., $vsize$ is measured from the
	baseline of the last line to a line $topskip$ above the baseline
	of the first line).  For magazine-style setting, it is more
	usual to have $topskip$ set to the cap-height of the font
	(assuming there are no strange tall characters in use).  

	To have an exactly $N$ lines to a page,
    $$
	bodyht = (N-1)\times baselineskip + topskip	\quad.
    $$  
 	This macro increases the bottom margin in order to set $bodyht$
	to such a value.
\code
	|\def\OPUTcalctopskip{
	|    \setbox0=\hbox{AXbl()!gyJQ,}
	|    \topskip=\ht0 \maxdepth=\dp0
	|    \advance\bodyht-\topskip \divide\bodyht\baselineskip
	|    \multiply\bodyht\baselineskip \advance\bodyht\topskip
	|}
\endcode

	Give this value for $bodyht$, we can set $hsize$ and $vsize$
	according to the number of columns to a page.  For $N$ lines to
	a column, we need $N\times ncols$ lines to make a whole page, so
    $$
	\eqalign{vsize 
		&= (ncols \times N - 1) \times baselineskip + topskip\cr
		&= (bodyht + \delta) \times ncols - \delta\cr
	}
    $$
 	where $\delta=baselineskip-topskip$.
\code
	|\def\OPUTcalchsizevsize{
	|    \hsize=\colwd
	|    \vsize=\bodyht 
	|    \advance\vsize-\topskip \advance\vsize\baselineskip 
	|    \multiply\vsize\ncols 
	|    \advance\vsize-\baselineskip \advance\vsize\topskip
	|}
\endcode


\subsec{Setting the number of columns}

	Now some macros used in documents for setting the number of
	coumns.  In the general case we have a grid of $n$ cells with
	text columnns spanning $k$ cells.  This macro takes two number
	parameters, $n$ and $k$.  It sets |\ncols| to as many columns
	fit on the page.
    $$
	\eqalign{colwd &= k \times gridwd + (k - 1) \times colsep\cr
	ncols &= \lfloor n \mathbin/ k \rfloor\cr}
    $$ 
 	Often $n$ is not a multiple of $k$, which leaves some grid cells
	`spare' for illustrations or extra margins and so on.
\code
	|\def\setnkgrid#1#2{%
	|    \gridwd=\bodywd 
	|    \advance\gridwd-#1\colsep \advance\gridwd\colsep \divide\gridwd#1
	|    \colwd#2\gridwd \advance\colwd#2\colsep \advance\colwd-\colsep
	|    \ncols#1 \divide\ncols#2
	|    \gridht=\baselineskip
	|    \capsep=\gridht
	|    \OPUTcalchsizevsize
	|}
\endcode

	For simpler layouts, we just set the number of columns and set
	the grid and column widths to be the same.
\code
	|\def\setncolumns#1{%
	|    \colwd=\bodywd
	|    \advance\colwd-#1\colsep \advance\colwd\colsep \divide\colwd #1
	|    \gridwd=\colwd
	|    \ncols=#1
	|    \OPUTcalchsizevsize
	|}
\endcode

\subsec{Setting default values}

	We give all the parameters default values by assuming A4 paper
	and a single-column layout in \TeX's default fonts.
\code
	|\setpaperA4
	|\setncolumns1
\endcode

%}}}  automated column setting
%{{{  balancing columns
\section{Routines for balanced columns}

\subsec{Balanced columns from a rigid vbox}

	This is the routine discussed in {\it\TeX book}, Appendix~D,
	Section~7 (pp.\thinspace396--397).  It takes a rigid, regular
	vbox (rigid meaning there is no stretchable glue between lines,
	and regular meaning that baselines are all the same distance
	apart).  Its parameters are
    $$\centerline{\vbox{\halign{\tt\char`\##\hfil&&\quad#\hfil\cr
	1&\<8-bit number>&	box to chop\cr
	2&\<number>&		how many columns to make (${}>0$)\cr
	3&\<dimen>&		the value of \cs{topskip} for the box\cr
	4&tokens&		what to put between columns\cr
    }}}$$
 	the last parameter will usually be |\hfil| or |\colseparator|.
	Usually this command will be used like
$$\hbox{|\hbox to \bodywd{\rigidbalance...}|}$$
	

\code
	|\newcount\RGDncols
\smallbreak
	|\def\rigidbalance#1#2#3#4{%
	|    \setbox0=\box#1\relax \RGDncols=#2\relax \toksa={#4}%
	|    \begingroup\splittopskip#3\relax \vbadness=10000 
	|        \valign{##\vfil\cr \RGDdosplits}%
	|    \endgroup
	|}
\endcode
	The helper function that produces the insides of the valign is
	recursive.
\code
	|\def\RGDdosplits{
	|    \dimena\ht0 \divide\dimena\RGDncols 
	|    \advance\dimena\splittopskip
	|    \setbox1=\vsplit0 to\dimena
	|    \unvbox1
	|    \global\advance\RGDncols-1
	|    \cr
	|    \ifnum\RGDncols>0 
	|        \noalign{\the\toksa}
	|        \RGDdosplits
	|    \fi
	|}
\endcode

\subsec{Balance partial page}

	Occasionally it is useful to switch between different grids or
	numbers of columns within one page.  This macro does this,
	creating a shorter-than-usual page body (including topbox and
	botbox) and then putting the result in |\partialpage| Its
	parameters are |#1| the \TeX\ code used to generate the text
	columns and |#2| what to put between the partial page and the
	rest of the page.

\code
	|\def\makepartialpage#1#2{
	|    \maybepagebreak
	|    \begingroup
	|        \output{%
	|            \message{[partial}
	|            \setbox0=\vbox{\unvbox\pagebox}%
	|            \global\setbox\partialpage\vbox{
	|                \box\partialpage \nointerlineskip
	|                \the\everypage
	|                \box\topbox \nointerlineskip
	|                \hbox to \bodywd{%
	|                    \ifvoid\leftbox\else 
	|                        \box\leftbox \colseparator 
	|                    \fi
	|                    #1%
	|                    \ifvoid\rightbox\else 
	|                        \colseparator \box\rightbox 
	|                    \fi
	|                }% \nointerlineskip
	|                \box\botbox
	|                #2
	|                \dimena\baselineskip \advance\dimena-\topskip
	|                \kern\dimena
	|            }%
	|            \message{page]}
	|        }
	|        \eject
	|    \endgroup
	|}
\smallbreak
	|\def\rigidbalancepartialpage{
	|    \makepartialpage{\rigidbalance0\ncols\topskip\colseparator}
	|}
\endcode
	Occasionally \TeX\ might have just over a pageful of text when
	this command is used (since the page break calculations do not
	take into account the space subtracted by
	illustrations\footnote*{This is probably a bug.}). In this case
	we have to force out a complete page.
\code
	|\def\maybepagebreak{%
	|    \vskip0pt plus\baselineskip \penalty-100
	|    \loop 
	|        \dimena\vsize \advance\dimena-\ncols\ht\partialpage
	|        \advance\dimena-\ncols\ht\topbox
	|        \advance\dimena-\ncols\ht\botbox
	|    \ifdim\pagetotal>\dimena
	|        \eject\null
	|    \repeat
	|}
\endcode
%}}}  balancing columns
\endcodefile 
\enddocument 
\bye
%}}} pdcoput5.tex

%Local variables:
%fold-folded-p: t
%fill-prefix: "	"
%End: