Tree reorder tweaking

Hi.

I'm trying to order a tree such that for any given node on the tree,
all its children appear alphabetically, including the top level.

If I understand the reorder() method correctly (it has sparse
documentation at http://book.cakephp.org/view/229/Advanced-Usage#reorder-518
but the API at http://api.cakephp.org/class/tree-behavior#method-TreeBehaviorreorder
is more informative), then you need to pass it the IDs that need
editing. I want to reorder the whole entire tree though, so I made my
own reorderAll() method in /app/app_model.php:

function reorderAll($options = array()) {
$parentIDs = $this->find('list', array(
'fields' => array(
'parent_id'
)
));

$parentIDs = array_unique($parentIDs);

foreach ($parentIDs as $parentID) {
if (!empty($parentID)) {
$options['id'] = $parentID;
$this->reorder($options);
}
}
}

Is this a good way of approaching it? The most obvious problem I can
see at the moment is that the top level still isn't getting
alphabetised, and I'm not sure how to do this. I'm also still not
sure if reorder() recurses as far as it can, or just one level.

Thanks for any help or suggestions!

Zoe.
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