The output routine is called either by TeX's normal page-breaking
mechanism, or by a macro putting a penalty of < or = -10000 in the output
list. These large penalties communicate with the OTR. For example a penalty of -10001 is a clearpage, whereas a -10004 is a float insertion etc.
Information on LaTeX output routine is very hard to find - and guessing from the comments in LaTeX's source, it is also hard to follow even for the LaTeX team!
The output routine is one of the more mysterious pieces
of TeX. The chapter of the TeXbook discussing output
routines claims that designing output routines makes one
achieve the level of a Tex Grandmaster.
As is so often the case, mastery of the concept of an
output routine in plain TEX will only barely prepare you
for the complexities awaiting you with LaTeX’s variant of
an output routine. However, it is better to start by studying TeX's OTR first. Luckily, there is some help in a series of articles by that great TeX exegete David Salomon. They are all available online as TUGBoat articles.
Output Routines: Examples and Techniques. Part I: Introduction and Examples.
Output Routines: Examples and Techniques. Part II: OTR Techniques
Output Routines: Examples and Techniques. Part III: Insertions
Output routines: Examples and techniques Part IV: Horizontal techniques
Read the last part first!
For LaTeX you can read Frank Mittelbach's, published paper xo-pfloat.pdf
in which he explains some of the problems facing the team, when dealing with the output routine. Reading it you will appreciate that floats is still one of the hard Computer Science problems and feel a bit of sympathy for Microsoft trying to do it interactively for multi-page documents!
There is also an article by David Kastrup Output Routine Requirements for Advanced Typesetting Tasks (Proceedings of EuroTEX 2003) outlining some of the difficult areas and specifications for generic routines
This would give you a bit of background to start deciphering source2e
itself. It is not all that hard, but one needs to get a good grounding at the standard building blocks such as insertions lists, here points etc.
In a nutshell all floats are put in boxes and then lists and unboxed by the algorithm. sometimes mind-boggling lists such as this.
\gdef\@freelist{\@elt\bx@A\@elt\bx@B\@elt\bx@C\@elt\bx@D\@elt\bx@E
\@elt\bx@F\@elt\bx@G\@elt\bx@H\@elt\bx@I\@elt\bx@J
\@elt\bx@K\@elt\bx@L\@elt\bx@M\@elt\bx@N
\@elt\bx@O\@elt\bx@P\@elt\bx@Q\@elt\bx@R}
These boxes are sometimes not enough and great insight can be obtained by reading the documentation of related packages such as morefloats
, which simply adds more boxes to the above list using 100's of expandafters!
There are some useful macros in the code - one the way of using @elt
lists (they just equivalent to Knuth's double slashes). @elt is just a Lisp relic and is an abbreviation for element). Also look up @bitor
, xbitor
etc..
Looking for hooks? Perhaps you can use the AtBeginDvi
in a similar way that bobhook
used it to add water-marks to a page.
Lastly, just to touch on the kludgeins. Depending on one's interpretation they can either be an ill-assorted collection of poorly-matching parts, forming a distressing whole or the more German witty or smart, I go for the latter! My favourite quote from the source!
The star form of this command is
dedicated to Leslie Lamport, the other
we need for ourselves (FMi, CAR).
Great Team with a good sense of humour! Can't wait to hear from the other members here of the LaTeX3 way!
When one says
\toks0={\plainoutput}\showthe\toks0
TeX answers
> \plainoutput .
If one says after this
\output=\toks0
then \showthe\output
gives
> \plainoutput .
If one then says \hbox{}\penalty-10000
, then the error message
! Missing { inserted.
<to be read again>
\shipout
\plainoutput ->\shipout
\vbox {\makeheadline \pagebody \makefootline }\advan...
<*> \hbox{}\penalty-10000
is issued. Now TeX is in internal vertical mode, as \end
produces
`! You can't use `\end' in internal vertical mode.`
but typing }
doesn't do any good, as we fall in the black hole when TeX doesn't interpret any more token.
It's interesting that TeX adds braces when the assignment to \output
is of the form
\output=<general text>
but not when it's like \output=<token register>
.
The relevant code for the addition of braces is in module 1226, where Knuth comments "For safety’s sake, we place an enclosing pair of braces around an \output
list.", and module 1227.
An interesting module to examine is 1100, which ends with output_group: followed by what is in module 1026.
I realize this is not a full answer: it's only to show that it's better not to monkey with the closing brace. TeX is in a very particular type of group, when it performs the output routine and disturbing it during this task reveals to be quite dangerous.
I've also found a discussion on comp.text.tex
that seems to have points in common with this problem.
Best Answer
Some corrections are necessary (you're forgetting
\topskip
)EDIT
A different definition of
\grid
that better shows what happens: