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RE: how to optimize recursive algorithm?

2003-11-27 11:06:50
If you work forwards through the list, you can pass the computed values
onwards as parameters rather than recomputing them each time, which
should make the algorithm O(n) rather than O(n^2).

If you prefer, you can get the caching effect by using memoized
functions in Saxon (saxon:memo-function="yes"), but you have to ask for
this explicitly.

Michael Kay


-----Original Message-----
From: owner-xsl-list(_at_)lists(_dot_)mulberrytech(_dot_)com 
[mailto:owner-xsl-list(_at_)lists(_dot_)mulberrytech(_dot_)com] On Behalf Of 
FC
Sent: 27 November 2003 13:37
To: XSL-List(_at_)lists(_dot_)mulberrytech(_dot_)com
Subject: [xsl] how to optimize recursive algorithm?


Houston, we've got a problem.
I have a transformation calculating the position of certain 
graphical elements and each element's position is affected by 
the position of its ancestors and preceding siblings. The 
recursive algorithm I wrote works well, meaning that the 
result is correct but is painfully slow when dealing with big 
documents. This is no surprise because I am fully aware of 
the functional language constraints, but I am wondering if 
there is no viable workaround. For instance, I don't know the 
constraints imposed to the optimizer but I would expect some 
sort of "caching" of values calculated previously when the 
same node is processed over and over by the same piece of code.

For instance, say you have a source document like this:

<top>
    <a/>
    <b/>
    <c/>
    <d/>
</top>

and the output of "b" depends on the position of "a", "c" 
depends on "b" and so on. When the processor (recursively) 
processes "d", it should find, somewhere, the value 
calculated for "c" previously and (magically) save time.

Now, since I really don't know what kind of optimizing 
mechanism is in place for the xslt engines I've been using so 
far (Saxon, Altova, Microsoft), I am asking if you have any 
idea as how to make recursive algorithms faster in cases like 
those just described.

Bye,
Flavio


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