Searching for the longest path in a tree

Hi everyone,

i'm sure that theres help in the archive but i didn't find something 
that i can understand :)
Here's my XML-Document:

<?xml version="1.0" encoding="UTF-8"?>

<corpus>
        <phrase id="syntax_7"> <!-- Diskurs-Baum -->

                <phrase id="syntax_5"> <!-- Satz 1 -->
                        <phrase id="syntax_1" cat="NP" func="PD" case="NOM">
                                <tok id="tok_1" lemma="dies" 
pos="PDS">Dies</tok>
                                <tok id="tok_2" lemma="sein" 
pos="VAFIN">ist</tok>
                        </phrase>

                        <phrase id="syntax_2" cat="NP" func="SB" case="NOM">
                                <tok id="tok_3" lemma="eine" pos="ART">ein</tok>
                                <tok id="tok_4" lemma="Beispielsatz" 
pos="NN">Beispielsatz</tok>
                        </phrase>

                        <tok id="tok_5" pos="$.">.</tok>
                </phrase>

                <phrase id="syntax_5"> <!-- Satz 2 -->
                        <tok id="tok_6" lemma="und" pos="KON">Und</tok>
                        <tok id="tok_7" lemma="hier" pos="ADV">hier</tok>
                        <tok id="tok_8" lemma="folgen" pos="VVFIN">folgt</tok>

                        <phrase id="syntax_3" cat="NP" func="IOBJ" case="DAT">
                                <tok id="tok_9" lemma="er" pos="PPER">ihm</tok>
                        </phrase>

                        <tok id="tok_10" lemma="zum Beispiel" 
pos="ADV">z.B.</tok>
                        <tok id="tok_11" lemma="noch" pos="ADV">noch</tok>

                        <phrase id="syntax_4" cat="NP" func="SB" case="NOM">
                                <tok id="tok_12" lemma="eine" 
pos="ART">ein</tok>
                                <tok id="tok_13" lemma="weiter" 
pos="ADJA">weiterer</tok>
                                <tok id="tok_14" lemma="Beispielsatz" 
pos="NN">Beispielsatz</tok>
                        </phrase>

                        <tok id="tok_15" pos="$.">.</tok>
                </phrase>
        </phrase>
</corpus>



and here's my XSL-File that i would like to apply to the above 
XML-Document.
The problem i have according to the xsl-file is that i want to have the 
maximal depth of the tree. In the example XML it is 4  i think.
Is there any simple Opportunity to find it out? I need ir because i 
want to transform the tree into a svg.
Thanks a lot

Norman


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