Soothed Foperators,

I have been looking for a while, like everybody else, at keeps.  I was 
looking for a way to unify the processing of keeps and breaks at the 
layout level.  Breaks are easy enough; just create column-break and 
page-break pseudo-area and insert into the galley as a sibling of the 
affected object's area subtree.  Once that's done, look-ahead and 
re-layout operate on the same stream of galley objects.  However, keeps 
didn't fit.

It occurred to me that, conceptually, the keeps can all be expressed as 
a new keep-together pseudo-area.  The keep-together property itself is 
expressed during layout by wrapping all of the generated areas in a 
keep-together area.  Keep-with-previous on formatting object A becomes a 
keep-together area spanning the first non-blank normal area leaf node, 
L, generated by A or its offspring, and the last non-blank normal area 
leaf node preceding L in the area tree.  Likewise, keep-with-next on 
formatting object A becomes a keep-together area spanning the last 
non-blank normal area leaf node, L, generated by A or its offspring, and 
the first non-blank normal area leaf node following L in the area tree.

The obvious problem with this arrangement is that the keep-together area 
violate the hierarachical arrangement of the layout tree.  They form a 
concurrent structure focussed on the leaf nodes.  This seems to be the 
essential problem of handling keep-with-(previous/next); that it cuts 
across the naturally tree-structured flow of processing.  Such problems 
are endemic in page layout.

In any case, it seems that the relationships between areas that are of 
interest in keep processing need some form of direct expression, 
parallel to the layout tree itself.  I have yet to examine inline 
relationships or the problem of changes in block-progression-direction, 
but just looking at the simple block stacking cases, you get a diagram 
like the attached PNG.  In order to track the relationships through the 
tree, I think you need four sets of links.  The basic links are:

Leading edge to leading edge of first normal child.
Trailing edge to leading edge of next normal sibling.
Trailing edge to trailing edge of parent

Superimposed on the basic links are bridging links which span adjacent 
sets of links.  These spanning links are the tree violators, and give 
direct access to the areas which are of interest in keep processing. 
 They could be implemented as double-linked lists, either within the 
layout tree nodes or as separate structures.  Gaps in the spanning links 
are joined by simply reproducing the single links, as in the diagram. 
 The whole layout tree for a page is effectively threaded in order of 
interest, as far as keeps are concerned.

The bonus of this structure is that it looks like a superset of the 
stacking constraints.  It gives direct access to all sets of adjacent 
edges and sets of edges whose space specifiers need to be resolved. 
 Fences can be easily enough detected during the process of space 
resolution.

I will be looking at what happens with changes of 
block-progression-direction and the related structures for inline keeps. 
 How does this gel with what other people are doing with keeps?

Peter

PNG image

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